{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "

Table of Contents

\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# code for loading the format for the notebook\n", "import os\n", "\n", "# path : store the current path to convert back to it later\n", "path = os.getcwd()\n", "os.chdir(os.path.join('..', 'notebook_format'))\n", "\n", "from formats import load_style\n", "load_style(plot_style = False)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ethen 2018-09-18 17:45:45 \n", "\n", "CPython 3.6.4\n", "IPython 6.4.0\n", "\n", "numpy 1.14.1\n", "pandas 0.23.0\n", "matplotlib 2.2.2\n", "networkx 1.11\n" ] } ], "source": [ "os.chdir(path)\n", "\n", "# 1. magic for inline plot\n", "# 2. magic to print version\n", "# 3. magic so that the notebook will reload external python modules\n", "# 4. magic to enable retina (high resolution) plots\n", "# https://gist.github.com/minrk/3301035\n", "%matplotlib inline\n", "%load_ext watermark\n", "%load_ext autoreload\n", "%autoreload 2\n", "%config InlineBackend.figure_format = 'retina'\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "from datetime import datetime\n", "\n", "%watermark -a 'Ethen' -d -t -v -p numpy,pandas,matplotlib,networkx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to networkx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Network Basics\n", "\n", "Networks, a.k.a. graphs, are an immensely useful modeling tool to model complex relational problems. Networks are comprised of two main entities:\n", "\n", "- Nodes: commonly represented as circles. In the academic literature, nodes are also known as \"vertices\".\n", "- Edges: commonly represented as lines between circles.\n", "\n", "Another way to think to it is, nodes are things you are interested in and edges denote the relationships between the things that you are interested in. Thus investigating a graph's edges is the more interesting part of network/graph analysis.\n", "\n", "In a network, if two nodes are joined together by an edge, then they are neighbors of one another.\n", "There are generally two types of networks - directed and undirected. In undirected networks, edges do not have a directionality associated with them. In directed networks, they do. Examples:\n", "\n", "- Facebook's network: Individuals are nodes, edges are drawn between individuals who are FB friends with one another. undirected network.\n", "- Air traffic network: Airports are nodes, flights between airports are the edges. directed network.\n", "\n", "The key questions here are as follows. How do we:\n", "\n", "- Model a problem as a network?\n", "- Extract useful information from a network?\n", "\n", "\n", "## networkx quickstart\n", "\n", "In the networkx implementation, graph objects store their data in dictionaries. \n", "\n", "- Nodes are part of the attribute `Graph.node`, which is a dictionary where the key is the node ID and the values are a dictionary of attributes. \n", "- Edges are part of the attribute `Graph.edge`, which is a nested dictionary. Data are accessed as such: G.edge[node1][node2]['attr_name']. \n", "\n", "Because of the dictionary implementation of the graph, any hashable object can be a node. This means strings and tuples, but not lists and sets.\n", "\n", "To get started, we'll use a synthetic social network, during which we will attempt to answer the following basic questions using the networkx API:\n", "\n", "- How many people are present in the network?\n", "- What is the distribution of attributes of the people in this network?\n", "- How many relationships are represented in the network?\n", "- What is the distribution of the number of friends that each person has?" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "30\n", "30\n" ] } ], "source": [ "G = nx.read_gpickle('Synthetic Social Network.pkl')\n", "\n", "# .nodes() gives you what nodes (a list) are represented in the network\n", "# here we access the number of nodes\n", "print(len(G.nodes()))\n", "\n", "# or equivalently\n", "print(len(G))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(0, 10), (0, 19), (0, 12), (1, 12)]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Who is connected to who in the network?\n", "# the edges are represented as a list of tuples,\n", "# where each tuple represent the node that form the edges\n", "# print out the first four to conserve space\n", "G.edges()[:4]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Concept" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A **network**, more technically known as a **graph**, is comprised of:\n", "\n", "- a set of nodes\n", "- joined by a set of edges\n", "\n", "They can be represented as two lists:\n", "\n", "1. A **node list**: a list of 2-tuples where the first element of each tuple is the representation of the node, and the second element is a dictionary of metadata associated with the node.\n", "2. An **edge list**: a list of 3-tuples where the first two elements are the nodes that are connected together, and the third element is a dictionary of metadata associated with the edge.\n", "\n", "Since this is a social network of people, there'll be attributes for each individual, such as age, and sex. We can grab that data off from the attributes that are stored with each node by adding the `data = True` argument. Let's get a list of nodes with their attributes." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(0, {'age': 20, 'sex': 'Male'}), (1, {'age': 21, 'sex': 'Female'}), (2, {'age': 19, 'sex': 'Male'}), (3, {'age': 29, 'sex': 'Female'}), (4, {'age': 30, 'sex': 'Male'})]\n" ] } ], "source": [ "# networkx will return a list of tuples in the form (node_id, attribute_dictionary)\n", "print(G.nodes(data = True)[:5])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Counter({'Male': 15, 'Female': 15})" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# excercise: Count how many males and females are represented in the graph\n", "from collections import Counter\n", "sex = [d['sex'] for _, d in G.nodes(data = True)]\n", "Counter(sex)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Edges can also store attributes in their attribute dictionary. Here the attribute is a datetime object representing the datetime in which the edges were created." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(0, 10, {'date': datetime.datetime(2011, 6, 7, 0, 0)}),\n", " (0, 19, {'date': datetime.datetime(2011, 2, 12, 0, 0)}),\n", " (0, 12, {'date': datetime.datetime(2006, 8, 28, 0, 0)}),\n", " (1, 12, {'date': datetime.datetime(2003, 3, 17, 0, 0)})]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.edges(data = True)[:4]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2002-05-20 00:00:00\n", "2011-11-04 00:00:00\n" ] } ], "source": [ "# excercise: figure out the range of dates during which these relationships were forged? \n", "# Specifically, compute the earliest and last date\n", "dates = [d['date'] for _, _, d in G.edges(data = True)]\n", "print(min(dates))\n", "print(max(dates))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise\n", "\n", "We found out that there are two individuals that we left out of the network, individual no. 31 and 32. They are one male (31) and one female (32), their ages are 22 and 24 respectively, they knew each other on 2010-01-09, and together, they both knew individual 7, on 2009-12-11. Use the functions `G.add_node()` and `G.add_edge()` to add this data into the network." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "G.add_node(31, age = 22, sex = 'Male')\n", "G.add_node(32, age = 24, sex = 'Female')\n", "G.add_edge(31, 32, date = datetime(2010, 1, 9))\n", "G.add_edge(31, 7, date = datetime(2009, 12, 11))\n", "G.add_edge(32, 7, date = datetime(2009, 12, 11))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "All tests passed.\n" ] } ], "source": [ "def test_graph_integrity(G):\n", " \"\"\"verify that the implementation above is correct\"\"\"\n", " assert 31 in G.nodes()\n", " assert 32 in G.nodes()\n", " assert G.has_edge(31, 32)\n", " assert G.has_edge(31, 7)\n", " assert G.has_edge(32, 7)\n", " print('All tests passed.')\n", " \n", "test_graph_integrity(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that networkx will override the old data if you added duplicated ones. e.g. we start out with `G.add_node(31, age = 22, sex = 'Male')`, if we had another call `G.add_node(31, age = 25, sex = 'Male')`, then the age for node 31 will be 25.\n", "\n", "## Coding Patterns\n", "\n", "These are some recommended coding patterns when doing network analysis using networkx.\n", "\n", "Iterating using List Comprehensions:\n", "\n", "```python\n", "[d['attr'] for n, d in G.nodes(data = True)]\n", "```\n", "\n", "And if the node is unimportant, we can use `_` to indicate that that field will be discarded:\n", "\n", "```python\n", "[d['attr'] for _, d in G.nodes(data = True)]\n", "```\n", "\n", "A similar pattern can be used for edges:\n", "\n", "```python\n", "[n1, n2 for n1, n2, _ in G.edges(data = True)]\n", "[d for _, _, d in G.edges(data = True)]\n", "```\n", "\n", "If the graph we are constructing is a directed graph, with a \"source\" and \"sink\" available, then the following pattern is recommended:\n", "\n", "```python\n", "[(sc, sk) for sc, sk, d in G.edges(data = True)]\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing Network\n", "\n", "we can draw graphs using the `nx.draw()` function. The most popular format for drawing graphs is the **node-link diagram**. If the network is small enough to visualize, and the node labels are small enough to fit in a circle, then you can use the `with_labels = True` argument." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" } ], "source": [ "plt.rcParams['figure.figsize'] = 8, 6\n", "\n", "nx.draw(G, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another way is to use a **matrix** to represent them. This is done by using the `nx.to_numpy_matrix(G)` function. The nodes are on the x- and y- axes, and a filled square represent an edge between the nodes. \n", "\n", "We then use `matplotlib`'s `pcolor(numpy_array)` function to plot. Because `pcolor` cannot take in numpy matrices, we will cast the matrix as an array of arrays, and then get `pcolor` to plot it." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 372, "width": 362 } }, "output_type": "display_data" } ], "source": [ "matrix = nx.to_numpy_matrix(G)\n", "\n", "plt.pcolor(np.array(matrix))\n", "plt.axes().set_aspect('equal') # set aspect ratio equal to get a square visualization\n", "plt.xlim(min(G.nodes()), max(G.nodes())) # set x and y limits to the number of nodes present.\n", "plt.ylim(min(G.nodes()), max(G.nodes()))\n", "plt.title('Adjacency Matrix')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Hubs " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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?\n", "\n", "## Approach 1: Neighbors\n", "\n", "One way we could compute this is to find out the number of people an individual is connected to. networkx let's us do this by giving us a `G.neighbors(node)` function." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# re-load the pickled data without the new individuals added in the introduction\n", "G = nx.read_gpickle('Synthetic Social Network.pkl')\n", "\n", "# the number of neighbors that individual #19 has\n", "len(G.neighbors(19))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(19, [0, 16, 2, 4, 22, 17, 27, 12]),\n", " (1, [12, 2, 3, 4, 29]),\n", " (2, [16, 1, 3, 6, 19]),\n", " (3, [8, 1, 2, 6, 23])]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create a ranked list of the importance of each individual, \n", "# based on the number of neighbors they have?\n", "node_neighbors = [(n, G.neighbors(n)) for n in G.nodes()]\n", "sorted(node_neighbors, key = lambda x: len(x[1]), reverse = True)[:4]" ] }, { "cell_type": "markdown", "metadata": {}, "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)`, which returns a dictionary (node is key, measure is value)." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.27586206896551724\n", "0.27586206896551724\n" ] } ], "source": [ "print(nx.degree_centrality(G)[19])\n", "\n", "# confirm by manual calculating\n", "# remember to -1 to exclude itself to exclude self-loops,\n", "# note that in some places it make senses to have self-loops ( e.g. bike routes )\n", "print(len(G.neighbors(19)) / (len( G.nodes() ) - 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Degree centrality and the number of neighbors is strongly related as they are both measuring whether a given node is a hub or not. By identifying the hub (e.g. linkedin influencer, the source that's spreading the disease) we can take actions on it to create value or prevent catastrophes." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 372, "width": 482 } }, "output_type": "display_data" } ], "source": [ "# exercise: create a histogram of the distribution of degree centralities\n", "centrality = list(nx.degree_centrality(G).values())\n", "\n", "plt.hist(centrality)\n", "plt.title('degree centralities')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 372, "width": 482 } }, "output_type": "display_data" } ], "source": [ "# excercise: create a histogram of the distribution of number of neighbors\n", "neighbor = [len(G.neighbors(n)) for n in G]\n", "\n", "plt.hist(neighbor)\n", "plt.title('number of neighbors')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 361, "width": 491 } }, "output_type": "display_data" } ], "source": [ "plt.scatter(neighbor, centrality)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Paths in a Network" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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 do we find the shortest path to get from individual A to individual B?\n", "\n", "One approach is what one would call a **breadth-first search**. It can be used on both directed and undirected graphs, but the graph's edges has to be unweighted.\n", "\n", "The approach starts at a source node and explores the immediate neighbor nodes first before moving to the next level neighbors. In greater detail:\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.\n", " \n", "Try implementing this algorithm in a function. 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." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "from collections import deque\n", "\n", "\n", "def path_exists(G, source, target):\n", " \"\"\"checks whether a path exists between two nodes (node1, node2) in graph G\"\"\"\n", " \n", " if not G.has_node(source):\n", " raise ValueError('Source node {} not in graph'.format(source))\n", " if not G.has_node(target):\n", " raise ValueError('Target node {} not in graph'.format(target))\n", " \n", " path_exist = False\n", " visited_node = set()\n", " queue = deque([source])\n", "\n", " while queue:\n", " node = queue.popleft()\n", "\n", " for neighbor in G.neighbors(node):\n", " if neighbor not in visited_node:\n", " if neighbor == target:\n", " path_exist = True\n", " break\n", " else:\n", " visited_node.add(node)\n", " queue.append(neighbor)\n", "\n", " if path_exist:\n", " break\n", "\n", " return path_exist" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "True\n" ] } ], "source": [ "# 18 and any other node (should return False)\n", "# 29 and 26 (should return True)\n", "print(path_exists(G = G, source = 18, target = 5))\n", "print(path_exists(G = G, source = 29, target = 26))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Meanwhile... thankfully, networkx has a function for us to use, titled has_path, so we don't have to implement this on our own. :-)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.has_path(G = G, source = 29, target = 26)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "networkx also has other shortest path algorithms implemented. e.g. `nx.shortest_path(G, source, target)` gives us a list of nodes that exist within one of the shortest paths between the two nodes. \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. Hint: You may want to use `G.subgraph(iterable_of_nodes)` to extract just the nodes and edges of interest from the graph `G`" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[4, 19, 17, 14]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.shortest_path(G, 4, 14)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABM4AAAOhCAYAAAAOjOlUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XmQ3XWdN/p3Z+tsZOlAQrZeDGZyYZCYmFQwA6IoisIDKg+XUqYAtcCS6wpixlv33rr/mA2URx3cUFSG8mHKy4OlpaUlhSUUMqyDWkxY06ezEAJZCNnp5f7RiTZwTqeTdPfvdJ/XqyrVZ3r5nfexrLLmXZ/v91PX1dXVFQAAAADgdUYUHQAAAAAAqpHiDAAAAADKUJwBAAAAQBmKMwAAAAAoQ3EGAAAAAGUozgAAAACgDMUZAAAAAJShOAMAAACAMhRnAAAAAFCG4gwAAAAAylCcAQAAAEAZijMAAAAAKENxBgAAAABlKM4AAAAAoAzFGQAAAACUoTgDAAAAgDIUZwAAAABQhuIMAAAAAMpQnAEAAABAGYozAAAAAChDcQYAAAAAZSjOAAAAAKAMxRkAAAAAlKE4AwAAAIAyFGcAAAAAUIbiDAAAAADKUJwBAAAAQBmKMwAAAAAoQ3EGAAAAAGUozgAAAACgDMUZAAAAAJShOAMAAACAMhRnAAAAAFCG4gwAAAAAylCcAQAAAEAZijMAAAAAKENxBgAAAABlKM4AAAAAoAzFGQAAAACUoTgDAAAAgDIUZwAAAABQhuIMAAAAAMpQnAEAAABAGYozAAAAAChDcQYAAAAAZSjOAAAAAKAMxRkAAAAAlKE4AwAAAIAyFGcAAAAAUIbiDAAAAADKUJwBAAAAQBmKMwAAAAAoQ3EGAAAAAGUozgAAAACgDMUZAAAAAJShOAMAAACAMhRnAAAAAFCG4gwAAAAAylCcAQAAAEAZijMAAAAAKENxBgAAAABlKM4AAAAAoAzFGQAAAACUoTgDAAAAgDIUZwAAAABQhuIMAAAAAMpQnAEAAABAGYozAAAAAChDcQYAAAAAZSjOAAAAAKAMxRkAAAAAlKE4AwAAAIAyFGcAAAAAUIbiDAAAAADKGFV0AGpIa2vyyCPJo48mjz+ebN+eHDyYjBmTNDQkb397snhx8o53JM3NRacFAAAAalxdV1dXV9EhGMb27UvuvDO55Zbk4Yf7/ndLliTXXptcemkybtzA5QMAAACoQHHGwOjoSG6+Ofna17ony45VQ0Py1a8mX/hCMnJk/+UDAAAAOALFGf1v3brkqquSBx/sv2cuW5bcdluyYEH/PRMAAACgF5YD0L/uuCNZuLB/S7Ok+3kLF3Y/HwAAAGAQKM7oP9//fnL55cmBAwPz/AMHkn/+5+73AQAAABhgjmrSP+64o7s0Gwx1dcnttycf//jgvB8AAABQkxRnHL9167qPUR44kFeT3Jvk4SSPHPq67dCv/VeSo72h7AtJ/seh1+9K8ofDP6ivT/7zP915BgAAAAyYUUUHYIjr6OheBHDoeOY9ST7cT49+NMm3K/3wwIHkE59I7rvPtk0AAABgQLjjjONz881vWgQwPckHk/w/SY71NrLOJNckqUuyuNIv/elP3e8PAAAAMAAc1eTY7duXzJmTbN/+t291JOk5/9WapOXQ66M5qvk/0n1M84tJtif5Sd5wVPOwhoZk48Zk3LijDA8AAADQOxNnHLs773xdaZa8vjQ7VhuT/F9JZiX5f4/0y9u3J//+7/3wrgAAAACvpzjj2N1yy4A89nNJXk3y9SQnFJgDAAAAqG2KM45Na2vy8MP9/thfJvlfSd6b5H/v6x899FB3HgAAAIB+pDjj2DzySL8/ck+S/yPJmCT/erR//Oij/Z4HAAAAqG2KM47NABRV/3eStiRfTjK/CvIAAAAAtU1xxrF5/PF+fdx/pnuTZnOS//NYHvDYY/0ZBwAAAEBxxjF6wzbN49GZ5OokHUm+mWTcsTxkx45+ywMAAACQKM44VgcP9tujfpLk4STnJXl3kt1v+Nd+6Pc6enyv4w3P2LNjR7Zs2ZKurq5+ywUAAADUtlFFB2CIGjOm3x5VOvT1d0lO6OX37u/x83uTnNPjZ3995pksmzkz9fX1aWpq+tu/5ubm172eNWtWRo4c2W/ZAQAAgOFLccaxaWgoOsHrdEyalGmjR2fbtm15+umn8/TTT5f9vVGjRmXOnDlvKtQOf50zZ07G9GMpCAAAAAxddV3OtnEs/uVfklWrjvhrrUlaDr3+ryQLjuGtrkz3cc53JflDb3m+9rXs3r07pVIppVIpra2tb3q9ZcuWXt+rrq4us2bNKjutdvj1uHHHdAsbAAAAMMSYOOPYLF5c8Ucv93jd88r+nW/4WUP68ZK9Q3kmTpyY0047LaeddlrZX9u/f3/a2toqlmubNm36278HHnig7DOmT59edlrt8PcmTZrUX58KAAAAKJCJM45Na2vS0lL2R3V9fMT6JM19+L0r04eJs/Xrk+a+PK13r732WjZt2lR2Wq1UKqWtrS2vvfZar8+YOnVqxTvWmpqa0tDQkLq6vv6nBAAAABRFccaxW7o0efjhN3170IuzpUuT//iPPr7r8eno6MiWLVsqHgVtbW3N/v37e33GhAkTKh4DbW5uzowZMxRrAAAAUAUUZxy7H/84ueqqolN057jiiqJTJEm6urry0ksv9Vqsvfrqq70+o76+Po2NjRXLtdmzZ9sMCgAAAINAccax27cvmTMn2b69uAwNDcmmTcnYscVlOApdXV3ZuXNnrwsMtm3b1uszDm8GrXQUdO7cuTaDAgAAQD9QnHF8bropuf764t7/xhuT664r7v0HQM/NoOXKtaPZDFquXGtsbMz48eMH6dMAAADA0KU44/h0dCT/9E/Jgw8O/nufeWZy331JjR1b3L9/fzZs2FBxgcHGjRvT2dnZ6zNOOumkXu9ZsxkUAAAAFGf0h3XrkoULkwMHBu896+uTJ55I/uEfBu89h4jDm0ErHQXty2bQKVOm9Fqs2QwKAABALVCc0T/uuCP5539OBuO/TnV1ye23Jx//+MC/1zDU2dmZF154odd71vbt29frMyZMmFDxjrWmpqbMmDEjI0aMGKRPBAAAAANDcUb/+f73k09/emDLs7q65LvfTa6+euDeo8Z1dXXl5Zdfft0m0DcWa7t27er1GYc3g1Yq12bNmpVRo0YN0icCAACAY6M4o3/dcUfyyU8OzLHNsWOTW281aVYFdu7cWfGOtdbW1iNuBh05cmTmzp1b8SiozaAAAABUA8UZ/W/duuSqq/p3YcCZZya33eZOsyFi9+7daWtrq1iuvfDCC73+fV1dXWbOnFnxKGhTU5PNoAAAAAw4xRkDo6Mjufnm5GtfS7ZvP/bnNDQkX/1q8oUv1Nz2zOHs8GbQSkdB+7oZtLd71iZPnjxInwYAAIDhSnHGwNq3L/n3f09uuSV56KG+/93Spcm11yb//b8n48YNXD6qUs/NoOXKtb5uBq10FLSpqSnTpk2zGRQAAIBeKc4YPK2tyaOPdv977LFkx47uu9Dq65OpU5NFi5LFi7v/NTcXnZYq1p+bQSuVazaDAgAAoDgDhp03bgYtV64daTPomDFj0tjY+LdC7Y3Fms2gAAAAw5/iDKhJO3furDitViqV8vLLL/f69yNHjsycOXMq3rE2d+7c1NfXD9KnAQAAYCAozgDK2LNnT69HQfu6GbS3BQY2gwIAAFQ3xRnAMei5GbRcuXY0m0ErlWs2gwIAABRLcQYwANrb27Np06aKR0FLpdIRN4NOnjy54rRac3OzzaAAAAADTHEGUIDOzs5s2bLldYXaG0u2I20GHT9+fK9HQU8++WSbQQEAAI6D4gygCh3eDFrpjrWj2QxaqVybPXu2zaAAAAC9UJwBDFGHN4NWKtf6uhm00lFQm0EBAIBapzgDGKZ6bgYtV671ZTPoySefXHZa7fBXm0EBAIDhTHEGUKMOHDiQDRs2VFxgsHHjxnR0dPT6jBNPPLHXBQY2gwIAAEOZ4gyAsg5vBq10FLStrS0HDx7s9RmTJ0/udYHBiSeeaDMoAABQtRRnAByTnptBK5Vre/fu7fUZhzeDVirXbAYFAACKpDgDYED03AxaqVh75ZVXen1Gz82g5co1m0EBAICBpDgDoDA9N4OWK9f6shl09uzZFY+CNjY22gwKAAAcM8UZAFVrz549aWtrq7jAYPPmzUd8xsyZM3u9Z23ChAmD8EkAAIChSHEGwJB1eDNopaOgfd0M2ts9a1OmTBmkTwMAAFQbxRkAw1bPzaDlyrW+bAadNGlS2ULt8FebQQEAYPhSnAFQszo7O/Piiy9WPAra2tp6VJtBy02t2QwKAABDl+IMACro6urKtm3bXleovbFY68tm0Llz51a8Y23OnDk2gwIAQJVSnAHAcXjllVcq3rFWKpXy0ksv9fr3hzeDVrpjzWZQAAAojuIMAAbQ4c2glcq1F154IUf6n+LDm0ErlWs2gwIAwMBQnAFAgXpuBi1XrvVlM+i0adMqHgVtbm62GRQAAI6R4gwAqlh7e3s2b95c8ShoqVTq02bQStNqTU1NOemkk2wGBQCAMhRnADCE9cdm0HHjxvVarM2cOdNmUAAAapLiDACGsXKbQd/4eufOnb0+4/Bm0Erlms2gAAAMV4ozAKhxhzeDVirXjrQZdMSIEZkzZ07FO9bmzp2bsWPHDtKnAQCA/qM4AwB61XMzaLlyrS+bQU8++eSKR0GbmpoyceLEQfo0AADQd4ozAOC4HDhwIBs3bqx4FHTDhg192gza2z1rU6ZMscAAAIBBpzgDAAbU4c2glY6CtrW15cCBA70+4/Bm0Erlms2gAAAMBMUZAFCow5tB31io9SzZ9uzZ0+szDm8GrVSu2QwKAMCxUJwBAFWt52bQSlNrR9oMOnr06MydO7fiUdA5c+Zk9OjRg/SJAAAYKhRnAMCQ13MzaLlyrS+bQWfPnv26Qq1nsdbY2GgzKABADVKcAQDD3t69e9PW1lZxgcHmzZv7tBm0twUGNoMCAAw/ijMAoOYdPHgwGzZsqHgU9Gg2g1Yq12wGBQAYehRnAABH0HMzaLlyrS+bQU844YSK02rNzc02gwIAVCHFGQDAcers7MzWrVsrHgVtbW3t02bQxsbGiuXazJkzM3LkyEH6RAAAJIozAIAB19XVle3bt/darPV1M2ilo6A2gwIA9D/FGQBAFdi1a1fFO9ZKpVK2bt3a69/33AxarlyzGRQA4OgpzgAAhoDDm0ErlWt92Qw6Y8aMikdBm5qacsIJJwzSpwEAGBoUZwAAw0DPzaDlyrW+bAZtaGioeBS0ubnZZlAAoOYozgAAakBHR0c2b95cdlrtaDaDVirWmpqaMn36dMUaADCsKM4AACi7GfSN5VpfN4NWKtdsBgUAhhrFGQAAR3R4M2i5Qu3w93bs2NHrM3puBi1XrtkMCgBUG8UZAAD94vBm0EoLDPqyGXTWrFkVj4I2NjZm3Lhxg/RpAAAUZwAADJKem0HLlWt93Qza2z1rNoMCAP1JcQYAQFU4ePBgNm7cWHZarVQqZcOGDWlvb+/1GYc3g1Yq16ZOnWqBAQDQZ4ozAACGhMObQSsdBS2VSkfcDDpx4sS/lWjlijWbQQGAnhRnAAAMC4c3g/ZWrO3evbvXZ4wdO/ZvZVq5cs1mUACoLYozAABqQqXNoD1fH2kz6KhRozJ37tyKd6zNnTvXZlAAGEYUZwAAcEjPzaDlyrW+bgatdBTUZlAAGFoUZwAA0Ef79u1LW1tbxaOgmzZt6vNm0Erlms2gAFA9FGcAANBPDm8GrXQUtC+bQadOnVrxKGhzc7PNoAAwiBRnAAAwSHpuBq1UrvVlM2ilabWmpqbMmDFDsQYA/URxBgAAVaKrqytbt24tW6gd/tqXzaCNjY0Vy7VZs2bZDAoAfaQ4AwCAIaKrqys7duyoeMdaa2trnzeDVirW5syZkzFjxgzSJwKA6qY4AwCAYeTVV1+teAy0VCrlxRdf7PXv6+rqMnv27Ip3rNkMCkAtUZwBAEANObwZtFK51pfNoNOnT694x1pTU1MmTZo0SJ+GqtHamjzySPLoo8njjyfbtycHDyZjxiQNDcnb354sXpy84x1Jc3PRaQH6THEGAAD8Tc/NoOXKtb5uBu1tgUFDQ4MFBsPBvn3JnXcmt9ySPPxw3/9uyZLk2muTSy9NTC8CVU5xBgAA9FlHR0deeOGFikdBS6VS9u/f3+szDm8GrVSu2Qxa5To6kptvTr72te7JsmPV0JB89avJF76QWFgBVCnFGQAA0G8ObwatdBS0tbX1iJtB6+vrX3f0843lms2gBVq3LrnqquTBB/vvmcuWJbfdlixY0H/PBOgnijMAAGDQHN4M2tsCg+1HmGIaNWpU5syZU/Eo6Ny5c20GHQh33JF88pPJgQP9/+z6+uSHP0w+/vH+fzbAcVCcAQAAVeXwZtBK5VpfNoPOmjWr13vWbAY9St//fnLNNQP7HnV1yXe/m1x99cC+D8BRUJwBAABDSs/NoOXKtc2bN6ezs7PXZ0yfPv1NhVrPYs1m0B7uuCO5/PLBea+6uuT2202eAVVDcQYAAAwrr732WjZu3FjxKGhbW1ufN4NWmlqrmc2g69YlCxfm1QMHcm+Sh5M8cujrtkO/8l9JKt1OdmWSn/Txra5MclvSfWzzP//TnWdAVVCcAQAANeXwZtDe7lk70mbQCRMmVDwG2tzcPDw2g3Z0JP/0T8mDD+buJB+u8Gu9FWefT3JnL2/xWpLDN9p9M8lnD//gzDOT++6zbRMonOIMAACgh56bQSuVa6+++mqvz6ivr09jY2PFcm327NnVvxn0ppuS669Pktyd5Jok70iyJMnsJIdvIuutODuSbyT5UpIxSTYnmdbzhzfemFx33TE+GaB/KM4AAACOQldXV3bu3Fm2UDv8ta+bQSsdBS18M+i+fcmcOcmhz9GRpGfN15qk5dDr4ynOFiZ5It3TbHe98YcNDcnGjYlFDkCBFGcAAAD9rOdm0HJTa0ezGbRcudbY2Jjx48cP3Af48Y+Tq66q+OPWHH9x9kS6i7Mk+UWS/1YpxxVXHMPTAfqH4gwAAGCQ7d+/P21tbRXvWNu0adMRN4OedNJJvd6zdlybQZcuTR5+uOKPW3P8xdmX0n1U86Qkm5KMrpTjP/7jGJ4O0D8UZwAAAFXm8GbQSnesbdiwIa+99lqvz5gyZUrFo6BNTU2ZNm1a+QUGra1JS8ubv9/zV3J8xVl7uu9J25ruBQI39/bL69cnzc1H+Q4A/WNU0QEAAAB4vdGjR6elpSUtFQqsnptBK5VrO3fuzM6dO/PEE0+UfcaECRPKFmqLnn8+8wfywyX5TbpLsyS58ki//OijijOgMCbOAAAAhpmurq689NJLb1pa0JfNoF9L8i9HeH5rjm/i7JIk/1+St6X7rrNe/cu/JF/72lG+A0D/MHEGAAAwzNTV1WX69OmZPn16li5d+qaf97YZ9F333JPs2jVg2bYn+eWh13269v+xxwYsC8CRKM4AAABqTF1dXaZOnZqpU6fm7W9/++t/eITFAMfrfyY5mO7/Z/TyvvzBjh0DlgXgSEYUHQAAAIAqcvDggD7+J4e+fiDJ9L78wYEDAxcG4AgUZwAAAPzdmDED9uj/SvLQodd9OqaZJPX1AxMGoA8UZwAAAPxdQ8OAPfrwtFlDkv/W1z+aOnVgwgD0geIMAACAv3vjnWf9pDPJvx16fVmSPs+1LVo0IHkA+sJyAAAAAP5u8eKy3365x+ue1/XvfMPPGlJ+QuP3STYdet3nY5q95AEYDIozAAAA/u4d7yj77ZMq/PqZb/i/1ydpLvN7h49p/m9Jlh5NHsUZUCBHNQEAAPi75uZkyZJ+feSuJP/r0OujmjZburQ7D0BBFGcAAAC83mc+86ZvdfXxX3OZx01KsvfQz79ynDkABlNdV1dXV9EhAAAAqCL79iVz5iTbtxeXoaEh2bQpGTu2uAxAzTNxBgAAwOuNG5d89avFZvjqV5VmQOFMnAEAAPBmHR3JP/1T8uCDg//eZ56Z3HdfMnLk4L83QA+KMwAAAMpbty5ZuDA5cGDw3rO+PnniieQf/mHw3hOgAkc1AQAAKG/BguSHP0zq6gbn/erqut9PaQZUCcUZAAAAlX3848l3vzvw5VldXff7fPzjA/s+AEfBUU0AAACO7I47kk9+cmCObY4dm9x6q9IMqDqKMwAAAPpm3brkqqv6d2HAmWcmt93meCZQlRzVBAAAoG8WLEjuvz+58cakoeG4HrVjxIh0rFnTvT1TaQZUKcUZAAAAfTdyZHLddcnGjcmPf5wsXXpUf961ZEluOPnkzOrszP+cNav7eQBVylFNAAAAjk9ra/Loo93/Hnss2bGj+y60+vpk6tRk0aJk8eLuf83N+eEPf5hPfepT+cd//Mc88cQTGTHCTAdQnRRnAAAADKoDBw7kLW95SzZv3pxf/vKXueCCC4qOBFCWWh8AAIBBVV9fn+uuuy5JsnLlypjnAKqViTMAAAAG3e7du9PY2JgdO3bkj3/8Y84666yiIwG8iYkzAAAABt3EiRPz2c9+Nkn31BlANTJxBgAAQCG2bduWxsbG7N27N48//ngWLlxYdCSA1zFxBgAAQCGmTZuWq6++OkmyevXqgtMAvJmJMwAAAAqzYcOGzJs3Lx0dHXnqqadyyimnFB0J4G9MnAEAAFCYuXPn5vLLL09nZ2fWrl1bdByA1zFxBgAAQKHWrVuXU089NaNHj05ra2tmzpxZdCSAJCbOAAAAKNiCBQvy4Q9/OAcPHsw3vvGNouMA/I2JMwAAAAr38MMPZ+nSpZk4cWLa2toyderUoiMBmDgDAACgeEuWLMm5556b3bt355Zbbik6DkASE2cAAABUiXvuuSfvfe97c+KJJ6ZUKmX8+PFFRwJqnIkzAAAAqsJ73vOeLFmyJC+//HJ++MMfFh0HwMQZAAAA1eOuu+7KRz/60TQ2NubZZ5/N6NGji44E1DATZwAAAFSNiy++OAsWLEhbW1t+9rOfFR0HqHGKMwAAAKrGiBEj8pWvfCVJsnr16nR2dhacCKhljmoCAABQVQ4ePJh58+Zl48aNufvuu3PRRRcVHQmoUSbOAAAAqCpjxozJ9ddfnyRZuXJlzHsARTFxBgAAQNXZs2dPmpqasm3bttx7770555xzio4E1CATZwAAAFSdCRMm5HOf+1yS7qkzgCKYOAMAAKAqbd++PU1NTdm9e3ceeeSRLF68uOhIQI0xcQYAAEBVamhoyDXXXJOke8MmwGAzcQYAAEDV2rRpU1paWtLe3p5169Zl/vz5RUcCaoiJMwAAAKrW7Nmzc8UVV6Srqytr1qwpOg5QY0ycAQAAUNWefvrpLFiwIKNGjcr69esze/bsoiMBNcLEGQAAAFVt/vz5ueSSS/Laa6/l61//etFxgBpi4gwAAICq99hjj2Xx4sWZMGFCSqVSpk2bVnQkoAaYOAMAAKDqLVq0KOedd1727NmTf/3Xfy06DlAjTJwBAAAwJPzhD3/Iu9/97kybNi2lUikTJkwoOhIwzJk4AwAAYEh417velWXLlmXbtm259dZbi44D1AATZwAAAAwZv/jFL3LxxRdnzpw5ee655zJmzJiiIwHDmIkzAAAAhowLL7wwp556ajZu3Jg77rij6DjAMKc4AwAAYMgYMWJEVqxYkSRZvXp1Ojs7C04EDGeKMwAAAIaUyy67LE1NTXnqqady9913Fx0HGMYUZwAAAAwpo0ePzvXXX58kWblyZVzdDQwUywEAAAAYcvbu3Zvm5ua89NJL+f3vf59zzz236EjAMGTiDAAAgCFn/Pjx+fznP5+ke+oMYCCYOAMAAGBI2rlzZxobG/Pqq6/moYceypIlS4qOBAwzJs4AAAAYkqZMmZJPf/rTSZJVq1YVnAYYjkycAQAAMGS98MILaWlpycGDB/Pkk09mwYIFRUcChhETZwAAAAxZM2fOzJVXXpmurq6sXr266DjAMGPiDAAAgCHtueeey/z58zNixIg8//zzmTt3btGRgGHCxBkAAABD2rx583LppZemvb09N910U9FxgGHExBkAAABD3hNPPJGFCxdm/PjxKZVKOfHEE4uOBAwDJs4AAAAY8s4444ycf/752bt3b771rW8VHQcYJkycAQAAMCzcd999OfvsszN16tSUSqWccMIJRUcChjgTZwAAAAwLZ511VpYvX54dO3bkBz/4QdFxgGHAxBkAAADDxq9+9atceOGFmTVrVp5//vnU19cXHQkYwkycAQAAMGx86EMfyumnn57Nmzfn9ttvLzoOMMQpzgAAABg26urqsmLFiiTJmjVr0tHRUXAiYChTnAEAADCsXHrppWlpackzzzyTu+66q+g4wBCmOAMAAGBYGTVqVL785S8nSVauXBlXewPHynIAAAAAhp19+/alubk5W7duzW9/+9ucd955RUcChiATZwAAAAw748aNyxe/+MUk3VNnAMfCxBkAAADD0iuvvJLGxsbs2rUrf/rTn7Js2bKiIwFDjIkzAAAAhqXJkyfnM5/5TJJk1apVBacBhiITZwAAAAxbL774Ypqbm7N///789a9/zWmnnVZ0JGAIMXEGAADAsDVjxox84hOfSJKsWbOm4DTAUGPiDAAAgGFt/fr1eetb35q6uro8++yzaWpqKjoSMESYOAMAAGBYa2lpyWWXXZb29vbceOONRccBhhATZwAAAAx7f/nLX/K2t70tY8eOTalUyvTp04uOBAwBJs4AAAAY9k4//fRccMEF2b9/f775zW8WHQcYIkycAQAAUBMeeOCBLF++PJMnT05bW1smTZpUdCSgypk4AwAAoCa8853vzNlnn51XXnkl3/ve94qOAwwBJs4AAACoGb/5zW/ywQ9+MCeffHLWr1+fsWPHFh0JqGImzgAAAKgZH/jAB3LGGWdky5Yt+clPflJ0HKDKKc4AAACoGXV1dVmxYkWSZM2aNWlvby84EVDNFGcAAADUlEsuuSTz5s3L888/n5///OdFxwGqmOIMAACAmjJq1KjccMMNSZJVq1bF1d9AJZYDAAAAUHP279+flpaWbNmyJb/6U+OWAAAgAElEQVT+9a9z/vnnFx0JqEImzgAAAKg5Y8eOzZe+9KUkycqVKwtOA1QrE2cAAADUpF27dqWpqSk7d+7M/fffn+XLlxcdCagyJs4AAACoSZMmTcq1116bpPuuM4A3MnEGAABAzXrppZfS1NSUffv25c9//nNOP/30oiMBVcTEGQAAADXrpJNOyqc+9akkyerVqwtOA1QbE2cAAADUtFKplFNOOSVdXV155pln0tLSUnQkoEqYOAMAAKCmNTU15WMf+1g6Ojqydu3aouMAVcTEGQAAADXvySefzGmnnZb6+vqUSqXMmDGj6EhAFTBxBgAAQM079dRTc9FFF+XAgQO5+eabi44DVAkTZwAAAJDkwQcfzJlnnplJkyalra0tkydPLjoSUDATZwAAAJBk2bJlOeecc7Jr16585zvfKToOUAVMnAEAAMAhv/vd7/L+978/06dPT2tra8aNG1d0JKBAJs4AAADgkPe9731ZtGhRtm7dmttuu63oOEDBFGcAAABwSF1dXVasWJEkWbt2bdrb2wtOBBRJcQYAAAA9fOQjH8n8+fPT2tqaO++8s+g4QIEUZwAAANDDyJEjc8MNNyRJVq1aFVeDQ+2yHAAAAADe4MCBA3nLW96SzZs355e//GUuuOCCoiMBBTBxBgAAAG9QX1+f6667LkmycuVKU2dQo0ycAQAAQBm7d+9OY2NjduzYkT/+8Y8566yzio4EDDITZwAAAFDGxIkT89nPfjZJ99QZUHtMnAEAAEAF27ZtS2NjY/bu3ZvHH388CxcuLDoSMIhMnAEAAEAF06ZNy9VXX50kWb16dcFpgMFm4gwAAAB6sWHDhsybNy8dHR156qmncsoppxQdCRgkJs4AAACgF3Pnzs3ll1+ezs7OrF27tug4wCAycQYAAABHsG7dupx66qkZPXp0WltbM3PmzKIjAYPAxBkAAAAcwYIFC/LhD384Bw8ezDe+8Y2i4wCDxMQZAAAA9MHDDz+cpUuXZuLEiWlra8vUqVOLjgQMMBNnAAAA0AdLlizJueeem927d+eWW24pOg4wCEycAQAAQB/dc889ee9735sTTzwxpVIp48ePLzoSMIBMnAEAAEAfvec978mSJUvy8ssv50c/+lHRcYABZuIMAAAAjsJdd92Vj370o2lsbMyzzz6b0aNHFx0JGCAmzgAAAOAoXHzxxVmwYEHa2trys5/9rOg4wABSnAEAAMBRGDFiRL7yla8kSVavXp3Ozs6CEwEDxVFNAAAAOEoHDx7MvHnzsnHjxtx999256KKLio4EDAATZwAAAHCUxowZk+uvvz5JsnLlyphJgeHJxBkAAAAcgz179qSpqSnbtm3Lvffem3POOafoSEA/M3EGAAAAx2DChAn53Oc+l6R76gwYfkycAQAAwDHavn17mpqasnv37jzyyCNZvHhx0ZGAfmTiDAAAAI5RQ0NDrrnmmiTdGzaB4cXEGQAAAByHTZs2paWlJe3t7Vm3bl3mz59fdCSgn5g4AwAAgOMwe/bsXHHFFenq6sratWuLjgP0IxNnAAAAcJyefvrpLFiwIKNGjcr69esze/bsoiMB/cDEGQAAAByn+fPn55JLLslrr72Wr3/960XHAfqJiTMAAADoB4899lgWL16cCRMmpK2tLQ0NDUVHAo6TiTMAAADoB4sWLcp5552XPXv25Nvf/nbRcYB+YOIMAAAA+skf/vCHvPvd7860adNSKpUyYcKEoiMBx8HEGQAAAPSTd73rXVm2bFm2bduWW2+9teg4wHEycQYAAAD96Be/+EUuvvjizJkzJ88991zGjBlTdCTgGJk4AwAAgH504YUX5tRTT83GjRtzxx13FB0HOA6KMwAAAOhHI0aMyIoVK5Ikq1evTmdnZ8GJgGOlOAMAAIB+dtlll6WpqSlPPfVU7r777qLjAMdIcQYAAAD9bPTo0bn++uuTJCtXrozrxWFoshwAAAAABsDevXvT3Nycl156Kb///e9z7rnnFh0JOEomzgAAAGAAjB8/Pp///OeTdE+dAUOPiTMAAAAYIDt37kxjY2NeffXVPPTQQ1myZEnRkYCjYOIMAAAABsiUKVPy6U9/OkmyatWqgtMAR8vEGQAAAAygF154IS0tLTl48GCefPLJLFiwoOhIQB+ZOAMAAIABNHPmzFx55ZXp6urKmjVrio4DHAUTZwAAADDAnnvuucyfPz8jRozI888/n7lz5xYdCegDE2cAAAAwwObNm5dLL7007e3tuemmm4qOA/SRiTMAAAAYBE888UQWLlyY8ePHp1Qq5cQTTyw6EnAEJs4AAABgEJxxxhk5//zzs3fv3nzrW98qOg7QBybOAAAAYJDcd999OfvsszN16tSUSqWccMIJRUcCemHiDAAAAAbJWWedleXLl2fHjh35wQ9+UHQc4AhMnAEAAMAg+tWvfpULL7wws2bNyvPPP5/6+vqiIwEVmDgDAACAQfShD30op59+ejZv3pzbb7+96DhALxRnAAAAMIjq6uqyYsWKJMmaNWvS0dFRcCKgEsUZAAAADLJLL700LS0teeaZZ3LXXXcVHQeoQHEGAAAAg2zUqFH58pe/nCRZtWpVXD8O1clyAAAAACjAvn370tzcnK1bt+a3v/1tzjvvvKIjAW9g4gwAAAAKMG7cuHzxi19MkqxcubLgNEA5Js4AAACgIK+88koaGxuza9eu/OlPf8qyZcuKjgT0YOIMAAAACjJ58uR85jOfSdJ91xlQXUycAQAAQIFefPHFNDc3Z//+/fnrX/+a0047rehIwCEmzgAAAKBAM2bMyCc+8YkkyZo1awpOA/Rk4gwAAAAKtn79+rz1rW9NXV1dnn322TQ1NRUdCYiJMwAAAChcS0tLLrvssrS3t+fGG28sOg5wiIkzAAAAqAJ/+ctf8ra3vS1jx45NqVTK9OnTi44ENc/EGQAAAFSB008/PRdccEH279+fb37zm0XHAWLiDAAAAKrGAw88kOXLl2fy5Mlpa2vLpEmTio4ENc3EGQAAAFSJd77znTn77LPzyiuv5Hvf+17RcaDmmTgDAACAKvKb3/wmH/zgB3PyySdn/fr1GTt2bNGRoGaZOAMAAIAq8oEPfCBnnHFGtmzZkp/+9KdFx4GapjgDAACAKlJXV5cVK1YkSdasWZP29vaCE0HtUpwBAABAlbnkkksyb968PPfcc/n5z39edByoWYozAAAAqDKjRo3KDTfckCRZtWpVXE8OxbAcAAAAAKrQ/v3709LSki1btuTXv/51zj///KIjQc0xcQYAAABVaOzYsfnSl76UJFm5cmXBaaA2mTgDAACAKrVr1640NTVl586duf/++7N8+fKiI0FNMXEGAAAAVWrSpEm59tprk3TfdQYMLhNnAAAAUMVeeumlNDU1Zd++ffnzn/+c008/vehIUDNMnAEAAEAVO+mkk/KpT30qSbJ69eqC00BtMXEGAAAAVa5UKuWUU05JV1dXnnnmmbS0tBQdCWqCiTMAAACock1NTfnYxz6Wjo6OrF27tug4UDNMnAEAAMAQ8OSTT+a0005LfX19SqVSZsyYUXQkGPZMnAEAAMAQcOqpp+aiiy7KgQMHcvPNNxcdB2qCiTMAAAAYIh588MGceeaZmTRpUtra2jJ58uSiI8GwZuIMAAAAhohly5blnHPOya5du/Kd73yn6Dgw7Jk4AwAAgCHkd7/7Xd7//vdn+vTpaW1tzbhx44qOBMOWiTMAAAAYQt73vvdl0aJF2bp1a3784x8XHQeGNcUZAAAADCF1dXVZsWJFkmTt2rVpb28vOBEMX4ozAAAAGGI+8pGPZP78+Vm/fn3uvPPOouPAsKU4AwAAgCFm5MiRueGGG5Ikq1atiuvLYWBYDgAAAABD0IEDB/KWt7wlmzdvzi9/+ctccMEFRUeCYcfEGQAAAAxB9fX1ue6665IkK1euNHUGA8DEGQAAAAxRu3fvTmNjY3bs2JE//vGPOeuss4qOBMOKiTMAAAAYoiZOnJjPfvazSbqnzoD+ZeIMAAAAhrBt27alsbExe/fuzeOPP56FCxcWHQmGDRNnAAAAMIRNmzYtV199dZJk9erVBaeB4cXEGQAAAAxxGzZsyLx589LR0ZGnnnoqp5xyStGRYFgwcQYAAABD3Ny5c3P55Zens7MzN954Y9FxYNgwcQYAAADDwLp163Lqqadm9OjRaW1tzcyZM4uOBEOeiTMAAAAYBhYsWJAPf/jDOXjwYL7xjW8UHQeGBRNnAAAAMEw8/PDDWbp0aSZOnJi2trZMnTq16EgwpJk4AwAAgGFiyZIlOffcc7N79+7ccsstRceBIc/EGQAAAAwj99xzT9773vfmxBNPTKlUyvjx44uOBEOWiTMAAAAYRt7znvdkyZIlefnll/OjH/2o6DgwpJk4AwAAgGHmrrvuykc/+tE0Njbm2WefzejRo4uOBEOSiTMAAAAYZi6++OIsWLAgbW1t+dnPflZ0HBiyFGcAAAAwzIwYMSJf+cpXkiSrV69OZ2dnwYlgaHJUEwAAAIahgwcPZt68edm4cWPuvvvuXHTRRUVHgiHHxBkAAAAMQ2PGjMn111+fJFm5cmXMzcDRM3EGAAAAw9SePXvS1NSUbdu25d57780555xTdCQYUkycAQAAwDA1YcKEfO5zn0vSPXUGHB0TZwAAADCMbd++PU1NTdm9e3ceffTRLFq0qOhIMGSYOAMAAIBhrKGhIddcc02SZNWqVQWngaHFxBkAAAAMc5s2bUpLS0va29uzbt26zJ8/v+hIMCSYOAMAAIBhbvbs2bniiivS1dWVtWvXFh0HhgwTZwAAAFADnn766SxYsCCjRo3K+vXrM3v27KIjQdUzcQYAAAA1YP78+bnkkkvy2muv5etf/3rRcWBIMHEGAAAANeKxxx7L4sWLM2HChLS1taWhoaHoSFDVTJwBAABAjVi0aFHOO++87NmzJ9/+9reLjgNVz8QZAAAA1JA//OEPefe7351p06alVCplwoQJRUeCqmXiDAAAAGrIu971rixbtizbtm3LrbfeWnQcqGomzgAAAKDG/OIXv8jFF1+cOXPm5LnnnsuYMWOKjgRVycQZAAAA1JgLL7wwp556ajZu3Jg77rij6DhQtRRnAAAAUGNGjBiRFStWJElWr16dzs7OghNBdVKcAQAAQA267LLL0tTUlKeeeip333130XGgKinOAAAAoAaNHj06119/fZJk1apVcQU6vJnlAAAAAFCj9u7dm+bm5rz00kv5/e9/n3PPPbfoSFBVTJwBAABAjRo/fnw+//nPJ0lWrlxZcBqoPibOAAAAoIbt3LkzjY2NefXVV/PQQw9lyZIlRUeCqmHiDAAAAGrYlClT8ulPfzpJ911nwN+ZOAMAAIAa98ILL6SlpSUHDx7Mk08+mQULFhQdCaqCiTMAAACocTNnzsyVV16Zrq6urFmzpug4UDVMnAEAAAB57rnnMn/+/IwYMSLPP/985s6dW3QkKJyJMwAAACDz5s3LpZdemvb29tx0001Fx4GqYOIMAAAASJI88cQTWbhwYcaPH59SqZQTTzyx6EhQKBNnAAAAQJLkjDPOyPnnn5+9e/fmW9/6VtFxoHAmzgAAAIC/ue+++3L22Wdn6tSpKZVKOeGEE4qOBIUxcQYAAAD8zVlnnZXly5dnx44d+cEPflB0HCiUiTMAAADgdX71q1/lwgsvzKxZs/L888+nvr6+6EhQCBNnAAAAwOt86EMfyumnn57Nmzfn3/7t34qOA4VRnAEAAACvU1dXlxUrViRJVq9enY6OjoITQTEUZwAAAMCbXHrppWlpackzzzyTu+66q+g4UAjFGQAAAPAmo0aNype//OUkyapVq+KKdGqR5QAAAABAWfv27Utzc3O2bt2a3/72tznvvPOKjgSDysQZAAAAUNa4cePyxS9+MUmycuXKgtPA4DNxBgAAAFT0yiuvpLGxMbt27cqf/vSnLFu2rOhIMGhMnAEAAAAVTZ48OZ/5zGeSdN91BrXExBkAAADQqxdffDHNzc3Zv39//vrXv+a0004rOhIMChNnAAAAQK9mzJiRT3ziE0mSNWvWFJwGBo+JMwAAAOCI1q9fn7e+9a2pq6vLs88+m6ampqIjwYAzcQYAAAAcUUtLSy677LK0t7fnxhtvLDoODAoTZwAAAECf/OUvf8nb3va2jB07NqVSKdOnTy86EgwoE2cAAABAn5x++um54IILsn///nzzm98sOg4MOBNnAAAAQJ898MADWb58eaZMmZJSqZRJkyYVHQkGjIkzAAAAoM/e+c535uyzz87OnTvzve99r+g4MKBMnAEAAABH5Te/+U0++MEP5uSTT8769eszduzYoiPBgDBxBgAAAByVD3zgAznjjDOyZcuW/PSnPy06DgwYxRkAAABwVOrq6rJixYokyZo1a9Le3l5wIhgYijMAAADgqF1yySWZN29ennvuufz85z8vOg4MCMUZAAAAcNRGjRqVG264IUmyatWquEKd4chyAAAAAOCY7N+/Py0tLdmyZUt+/etf5/zzzy86EvQrE2cAAADAMRk7dmy+9KUvJUlWrlxZcBrofybOAAAAgGO2a9euNDU1ZefOnbn//vuzfPnyoiNBvzFxBgAAAByzSZMm5dprr03SfdcZ/z979x0k9Xnn+/7TkxNpyGmGLEQQCESSQOQwMDBM6odyKK99XF6f9fGud+21VTq37q26t+oI2Vpbrt2Sd10ur896vcXTE8kCARICSYgMQghEGnJmSMPk7vsH6HewDJKAmXk6vF9VFD3Pt8OHP4SYz3z714gmbJwBAAAAAIAncvnyZWVnZ6u2tlb79+/XyJEjXUcCWgQbZwAAAAAA4Il07dpV3/3udyVJr776quM0QMth4wwAAAAAADyxkydPatCgQQqFQjpy5Ij69+/vOhLwxNg4AwAAAAAATyw7O1tf+9rX1NzcrNdee811HKBFsHEGAAAAAABaxMGDBzV8+HClpKSoqqpK3bt3dx0JeCJsnAEAAAAAgBYxbNgw5eXlqa6uTq+//rrrOMATY+MMAAAAAAC0mG3btmnSpElq3769Tp06pQ4dOriOBDw2Ns4AAAAAAECLmThxoqZNm6abN2/qN7/5jes4wBNh4wwAAAAAALSo9evXa+7cuerWrZuqqqqUmprqOhLwWNg4AwAAAAAALWr27NkaM2aMLl26pD/84Q+u4wCPjeIMAAAAAAC0KJ/Pp5deekmS9Itf/EJNTU2OEwGPh+IMAAAAAAC0uIKCAg0ZMkQnTpyQtdZ1HOCxUJwBAAAAAIAWFx8fr5/+9KeSpKVLl4pLrCMS8eEAAAAAAACgVdTX12vAgAE6d+6cVq5cqdzcXNeRgEfCxhkAAAAAAGgVycnJ+vGPfyzp7tYZEGnYOAMAAAAAAK3m9u3bysrKUnV1td59911NmTLFdSTgK2PjDAAAAAAAtJqMjAz98Ic/lCS98sorjtMAj4aNMwAAAAAA0KquXr2qrKws3blzR3v37tWoUaNcRwK+EjbOAAAAAABAq+rcubO+973vSeJaZ4gsbJwBAAAAAIBWd/r0aQ0cOFDNzc06fPiwBg0a5DoS8KXYOAMAAAAAAK2ub9+++sY3vqFgMKjXXnvNdRzgK2HjDAAAAAAAtIlDhw5p2LBhSkxMVFVVlXr27Ok6EvCF2DgDAAAAAABtYujQocrPz1dDQ4N+9atfuY4DfCk2zgAAAAAAQJvZsWOHxo8fr4yMDJ06dUqdOnVyHQl4KDbOAAAAAABAmxk3bpxmzpyp27dv64033nAdB/hCbJwBAAAAAIA2tXHjRs2aNUtdunTRyZMnlZaW5joS8EBsnAEAAAAAgDY1Y8YMjRs3TleuXNHvf/9713GAh2LjDAAAAAAAtLny8nIVFhYqKytLR48eVWJioutIwF9g4wwAAAAAALS5xYsXa+jQoTp16pSWLVvmOg7wQBRnAAAAAACgzcXFxelnP/uZJGnp0qUKBoOOEwF/ibdqAgAAAAAAJxoaGjRw4ECdOXNGlZWVysvLcx0J+DNsnAEAAAAAACeSkpL0k5/8RJL0yiuviN0ehBs2zgAAAAAAgDM1NTXKzs7W1atX9fbbb2vatGmuIwEeNs4AAAAAAIAz6enp+tu//VtJd7fOgHDCxhkAAAAAAHDq2rVrysrKUk1NjXbt2qUxY8a4jgRIYuMMAAAAAAA4lpmZqb/+67+WdPcTNoFwwcYZAAAAAABw7uzZs+rfv7+ampp06NAhDRkyxHUkgI0zAAAAAADgXu/evfWtb31LoVBIv/jFL1zHASSxcQYAAAAAAMLEp59+qqFDhyohIUEnTpxQ7969XUdCjGPjDAAAAAAAhIUhQ4aoqKhIjY2N+uUvf+k6DsDGGQAAAAAACB+7d+/W2LFjlZ6erlOnTikzM9N1JMQwNs4AAAAAAEDYGDNmjObMmaOamhr9y7/8i+s4iHFsnAEAAAAAgLDyzjvvaPr06ercubNOnjyp9PR015EQo9g4AwAAAAAAYWXq1KmaOHGirl69qt/97neu4yCGsXEGAAAAAADCzvLly7V48WL16dNHx44dU1JSkutIiEFsnAEAAAAAgLCzcOFCDRs2TGfOnNF//dd/uY6DGEVxBgAAAAAAwk5cXJxeeuklSdKrr76qYDDoOBFiEcUZAAAAAAAIS0uWLFF2drYOHTqkyspK13EQgyjOAAAAAABAWEpMTNRPfvITSdLSpUvFZdrR1vhwAAAAAAAAELbu3Lmjfv366fLly9qwYYNmzpzpOhJiCBtnAAAAAAAgbKWlpenv/u7vJEmvvPKK4zSINWycAQAAAACAsHb9+nVlZWXp1q1b2r59u8aNG+c6EmIEG2cAAAAAACCsdezYUd///vcl3b3WGdBW2DgDAAAAAABh7/z58+rfv78aGhp08OBBDR061HUkxAA2zgAAAAAAQNjr2bOn/uqv/kqhUEg///nPXcdBjGDjDAAAAAAARIRjx45pyJAhiouL0/Hjx9W3b1/XkRDl2DgDAAAAAAARYeDAgfL7/WpqatIvf/lL13EQA9g4AwAAAAAAEWPfvn0aPXq00tLSdPLkSXXp0sV1JEQxNs4AAAAAAEDEGDVqlHJycnTnzh398z//s+s4iHJsnAEAAAAAgIiyZcsWvfjii+rUqZNOnTqljIwM15EQpdg4AwAAAAAAEWXKlCl64YUXVF1drd/+9reu4yCKsXEGAAAAAAAizqpVq7Rw4UL16tVLx48fV3JysutIiEJsnAEAAAAAgIizYMECjRw5UufOndN//ud/uo6DKEVxBgAAAAAAIo7P59NLL70kSXr11VfV3NzsOBGiEcUZAAAAAACISH6/X/3799eRI0dUXl7uOg6iEMUZAAAAAACISAkJCfrHf/xHSdLSpUvFZdzR0vhwAAAAAAAAELFqa2vVr18/Xbp0SevWrdOcOXNcR0IUYeMMAAAAAABErNTUVP393/+9JOmVV15xnAbRho0zAAAAAAAQ0W7cuKGsrCzdvHlTH3zwgSZOnOg6EqIEG2cAAAAAACCidejQQX/zN38j6e61zoCWwsYZAAAAAACIeBcvXlS/fv1UV1enjz/+WMOGDXMdCVGAjTMAAAAAABDxunfvru985zuSpFdffdVxGkQLNs4AAAAAAEBUOHHihAYPHiyfz6ejR48qOzvbdSREODbOAAAAAABAVOjfv7+WLFmipqYm/dM//ZPrOIgCbJwBAAAAAICo8dFHH+mZZ55RamqqTp48qa5du7qOhAjGxhkAAAAAAIgaI0eOVG5urmpra/XrX//adRxEODbOAAAAAABAVHn//ff1wgsvqGPHjjp58qTat2/vOhIiFBtnAAAAAAAgqjz//PN68cUXdf36df3bv/2b6ziIYGycAQAAAACAqLN27VrNnz9fPXr00IkTJ5SSkuI6EiIQG2cAAAAAACDqzJs3T6NGjdKFCxf0H//xH67jIEJRnAEAAAAAgKjj8/n00ksvSZJ+/vOfq6mpyXEiRCKKMwAAAAAAEJWKioo0cOBAHTt2TKWlpa7jIAJRnAEAAAAAgKiUkJCgn/70p5KkpUuXisu841Hx4QAAAAAAACBq1dXVqX///rpw4YLWrFmjnJwc15EQQdg4AwAAAAAAUSslJUX/8A//IOnu1hnwKNg4AwAAAAAAUe3mzZvKzs7W9evX9d577+n55593HQkRgo0zAAAAAAAQ1dq3b68f/OAHkqRXXnnFcRpEEjbOAAAAAABA1Lt8+bKys7NVW1ur/fv3a+TIka4jIQKwcQYAAAAAAKJe165d9d3vfleS9OqrrzpOg0jBxhkAAAAAAIgJJ0+e1KBBgxQKhXTkyBH179/fdSSEOTbOAAAAAABATMjOztbXvvY1NTc367XXXnMdBxGAjTMAAAAAABAzDh48qOHDhyslJUVVVVXq3r2760gIY2ycAQAAAACAmDFs2DDl5eWprq5Or7/+uus4CHNsnAEAAAAAgJiybds2TZo0Se3bt9epU6fUoUMH15EQptg4AwAAAAAAMWXixImaNm2abt68qd/85jeu4yCMsXEGAAAAAABizvr16zV37lx169ZNVVVVSk1NdR0JYYiNMwAAAAAAEHNmz56tMWPG6NKlS/rDH/7gOg7CFMUZAAAAAACIOT6fTy+99JIk6Re/+IWampocJ0I4ojgDAAAAAAAxqaCgQEOGDNGJEycUCARcx0EYojgDAAAAAAAxKT4+Xj/96U8lSUuXLhWXgcfn8eEAAAAAAAAgZtXX12vAgAE6d+6cVq5cqdzcXNeREEbYOAMAAAAAADErOTlZP/7xjyXd3ToD7sfGGQAAAAAAiGm3b99WVlaWqqur9e6772rKlCmuIyFMsHEGAAAAAABiWkZGhn74wx9Kkl555RXHaRBO2DgDAAAAAAAx7+rVq8rKytKdO3e0d+9ejRo1ynUkhAE2zgAAAAAAQMzr3FSb3eUAACAASURBVLmzvve970niWmf4P9g4AwAAAAAAkHT69GkNHDhQzc3NOnz4sAYNGuQ6Ehxj4wwAAAAAAEBS37599Y1vfEPBYFCvvfaa6zgIA2ycAQAAAAAA3HPo0CENGzZMiYmJqqqqUs+ePV1HgkNsnAEAAAAAANwzdOhQ5efnq6GhQb/61a9cx4FjbJwBAAAAAADcZ8eOHRo/frwyMjJ06tQpderUyXUkOMLGGQAAAAAAwH3GjRunmTNn6vbt23rjjTdcx4FDbJwBAAAAAAB8zsaNGzVr1ix17dpVVVVVSktLcx0JDrBxBgAAAAAA8DkzZszQuHHjdPnyZf3+9793HQeOsHEGAAAAAADwAOXl5SosLFRWVpaOHj2qxMRE15HQxtg4AwAAAAAAeIDFixdr6NChOnXqlJYtW+Y6DhygOAMAAAAAAHiAuLg4/exnP5MkLV26VMFg0HEitDXeqgkAAAAAAPAQDQ0NGjhwoM6cOaPKykrl5eVJVVXSzp3Srl3Snj3StWtSQ4OUlCRlZkrPPiuNHSs995zUr5/rPwKeAMUZAAAAAADAF/j1r3+tl370I708YID+r86d5dux46s/eNw46Qc/kPx+KTW19UKiVVCcAQAAAAAAPExzs+p//nPV/M//qcwnqVAyM6WXX5Z+9CMpPr7l8qFVUZwBAAAAAAA8yKFD0re/LW3b1nLPOXGi9O//Lg0d2nLPiVbDhwMAAAAAAAB83p/+JI0e3bKlmXT3+UaPvvv8CHsUZwAAAAAAAPf77W+lb3xDqq9vneevr5e++c27r4Owxls1AQAAAAAAPvOnP90tzdqCzyf98Y/S17/eNq+HR0ZxBgAAAAAAIN29ptno0VJ9vW5JelvSDkk77/1+9d7dPpH0ZVcoOyjpNUmbJJ2X1E7SaEnfk+S//47JydLevVzzLExRnAEAAAAAADQ3S5Mne9c0q5SU/5C7fllx9idJ35HUcO/rjpJqJDXe+/qbkv63JN9nD5g0SdqyhU/bDENc4wwAAAAAAOD11//igwC6SZov6f+R9FWvRrZL0rd1tzRbKOmEpGpJtyT9q6QkSX+UtPT+B33wwd3XR9hh4wwAAAAAAMS22lqpTx/p2jXvqFnS/ftfVZL637v9RRtn+bq7rdZP0iFJyZ+b/7+6W8RlSDopKfOzQWamdOaMlJr6uH8KtAI2zgAAAAAAQGyz9s9KM+nPS7OvqlnS+nu3/7v+sjSTpL/X3bdo3pZUcf/g2jUpEHiMV0VrojgDAAAAAACx7Y03WuRprki6c+/2Uw+5TztJve7dfquVcqDlUJwBAAAAAIDYVVUl7djRIk/lu+928xfcr+ne7x9/frB9+908CBsUZwAAAAAAIHbt3NliT9VZUvq92wcfcp9rki7eu33+QXfYtavF8uDJUZwBAAAAAIDY1YJFVbykmfduvyGp5gH3efW+27daOQ+eHMUZAAAAAACIXXv2tOjTvay7Bdp5STmStktqkHRB0v8n6TVJiffu+8BSZvfuFs2DJ0NxBgAAAAAAYtfnPk3zSU2Q9FtJCZK23Ps6WVJPSf+3pNGSvnPvvh0f9ATV1S2aB0+G4gwAAAAAAMSuhoYWf8rvSNor6a8ljZTUV3cLtFclvSep7t79Bj/owfX1LZ4Hjy/BdQAAAAAAAABnkpJa5WmHS/rXh8w+ezPmpAcNk5NbJQ8eDxtnAAAAAAAgdmVmtunLfSzpo3u3v/agO3Tq1HZh8KUozgAAAAAAQOx69tk2e6kGST+4dztH0qgH3WnMmDbLgy9HcQYAAAAAAGJW3fDhD51due/X/Zfsv/65WfBzj/sfuvvBADX3vg7e+3qGpM2Suurhb+PU2LGPEh+tzBcKhUKuQwAAAAAAALSV2tparVmzRtZa7V+xQofq6xWS5Pvc/T7/9cOckNTvIY/rqLsFWuO9r/tJWilpxEOf7ITUr9/DpmhjfDgAAAAAAACIevX19Vq/fr2WLVumFStW6Pbt297sYHq6htXUfMGjH82rkjbp7vXMLklqJ+kpSYWS/kZS6sMeOH48pVmYYeMMAAAAAABEpcbGRm3cuFHWWlVUVOjGjRve7LnnnpMxRn6/X1mbNknf/rbDpPf84Q/St77lOgXuQ3EGAAAAAACiRlNTkzZv3ixrrcrLy3X16lVvNmrUKK8sGzhw4P95UG2t1KePdO2ag8T3ZGZKZ89KKSnuMuAv8FZNAAAAAAAQ0YLBoLZu3SprrUpLS3Xp0iVvNmzYMBljZIzRU0899eAnSE2VXn5Z+slP2ijxA7z8MqVZGGLjDAAAAAAARJxQKKRt27bJWquSkhKdO3fOmw0ePNgry0aMeOhl+P9cc7M0ebK0bVsrJf4CkyZJW7ZI8fFt/9r4QhRnAAAAAAAgIoRCIe3atUvWWgUCAZ06dcqb9evXzyvLRo8eLZ/vq34m5n0OHZJGj5bq61sw9ZdITpb27ZMetg0HpyjOAAAAAABA2AqFQtq/f79Xlh07dsyb9enTR36/X8YYjRs37vHKss/705+kb35Taou6xOeT/vhH6etfb/3XwmPhGmcAAAAAACDsHDx4UNZaWWt1+PBh77xHjx4qLi6WMUaTJk1SXFxcy77w178u1dRI3/9+65ZnPp/0r/9KaRbm2DgDAAAAAABh4ciRI15ZduDAAe+8S5cuKioqkjFGU6ZMUXxbXAvsT3+S/tt/a523baakSL/7HaVZBKA4AwAAAAAAzlRVVXll2Z49e7zzTp06qaCgQMYYTZ8+XQkJDt40d+iQ9O1vt+wHBkyaJP37v3NNswhBcQYAAAAAANrUmTNnFAgEZK3V9u3bvfP27dtr8eLFMsZo1qxZSkpKcpjynuZm6fXXpf/1v6Rr1x7/eTIzpZdfln70Iz49M4JQnAEAAAAAgFZ34cIFlZaWylqrrVu3eufp6elatGiRjDGaO3euUlJSHKb8ArW1UiAgvfGGdF/Z96XGj5d+8AOpuFhKTW29fGgVFGcAAAAAAKBVXLlyRWVlZbLWavPmzQoGg5KklJQU5ebmyhij+fPnKy0tzXHSR1RVJe3adffX7t1SdfXda6ElJ0udOkljxkhjx9791a+f67R4AhRnAAAAAACgxVRXV6uiokLWWm3cuFHNzc2SpKSkJOXk5MgYo4ULFyojI8NxUuDLUZwBAAAAAIAncvPmTS1fvlzWWq1fv16NjY2SpISEBM2ePVtLlixRXl6eOnTo4Dgp8GgozgAAAAAAwCOrqanRypUrZa3V2rVrVV9fL0mKi4vTjBkzZIxRfn6+Onfu7Dgp8PgcfJYrAAAAAACIRLW1tVqzZo2stVq1apVqa2slST6fT1OnTpUxRoWFherWrZvjpEDLoDgDAAAAAAAPVV9fr3Xr1slaqxUrVuj27dve7Pnnn5cxRkVFRerVq5fDlEDroDgDAAAAAAB/prGxURs2bJC1VpWVlbpx44Y3GzdunIwxKi4uVlZWlsOUQOujOAMAAAAAAGpqatI777wja63Ky8t17do1bzZ69GgZY+T3+zVgwACHKYG2RXEGAAAAAECMCgaD2rJli6y1Kisr06VLl7zZ8OHDZYyRMUZDhgxxmBJwh+IMAAAAAIAYEgwGtW3bNllrVVJSovPnz3uzIUOGeGXZ8OHDHaYEwgPFGQAAAAAAUS4UCmnnzp2y1ioQCOj06dPerH///l5ZNmrUKPl8PodJgfBCcQYAAAAAQBQKhULat2+fV5YdP37cm/Xt21d+v1/GGD333HOUZcBDUJwBAAAAABBFDh48KGutrLU6fPiwd96jRw+vLJs4caLi4uIcpgQiA8UZAAAAAAAR7siRI15ZduDAAe+8a9euKiwslDFGU6ZMUXx8vMOUQOShOAMAAAAAIAKdOHFCgUBA1lrt2bPHO+/UqZMKCgpkjNH06dOVkMC3/sDj4r8eAAAAAAAixOnTp1VSUiJrrbZv3+6dt2/fXosXL5YxRrNmzVJSUpLDlED0oDgDAAAAACCMnT9/XqWlpbLW6r333vPO09PTtWjRIhljNHfuXKWkpDhMCUQnijMAAAAAAMLM5cuXVVZWJmutNm/erFAoJElKTU3VggULZIzR/PnzlZaW5jgpEN0ozgAAAAAACAPXrl1TRUWFrLXatGmTmpubJUlJSUnKycmRMUYLFy5URkaG46RA7PCFPqutAQAAAABAm7px44aWL18ua63eeustNTY2SpISEhI0Z84cGWOUl5enDh06OE4KxCaKMwAAAAAA2tDt27e1cuVKWWv15ptvqr6+XpIUHx+vGTNmyBij/Px8ZWZmOk4KgLdqAgAAAADQympra7V69WpZa7V69WrV1tZKknw+n6ZNmyZjjAoLC9W1a1fHSQHcj+IMAAAAAIBWUF9fr3Xr1mnZsmVasWKFampqvNkLL7wgY4yKiorUs2dPhykBfBGKMwAAAAAAWkhjY6M2bNgga60qKyt148YNbzZu3DgZY+T3+9W3b1+HKQF8VRRnAAAAAAA8gaamJr3zzjuy1qq8vFzXrl3zZqNHj/bKsgEDBjhMCeBxUJwBAAAAAPCImpubtXXrVllrVVpaqsuXL3uz4cOHyxgjY4yGDBniMCWAJ0VxBgAAAADAVxAMBrVt2zZZa1VSUqLz5897syFDhnhl2fDhwx2mBNCSKM4AAAAAAHiIUCiknTt3ylqrQCCg06dPe7P+/ft7ZdmoUaPk8/kcJgXQGijOAAAAAAC4TygU0r59+7yy7Pjx496sb9++8vv9MsboueeeoywDohzFGQAAAAAAkj7++GNZa2Wt1aeffuqd9+zZU8XFxTLGaOLEiYqLi3OYEkBbojgDAAAAAMSsTz/91CvLPv74Y++8a9euKioqkjFGkydPVnx8vMOUAFyhOAMAAAAAxJQTJ054ZdnevXu988zMTBUUFMgYo2nTpikhgW+ZgVjH3wIAAAAAgKh3+vRpBQIBWWu1Y8cO77x9+/bKz8+XMUazZs1SYmKiw5QAwg3FGQAAAAAgKp0/f16lpaWy1uq9997zztPT07Vo0SIZYzR37lylpKQ4TAkgnFGcAQAAAACixuXLl1VWViZrrTZv3qxQKCRJSk1NVW5urowxysnJUVpamuOkACIBxRkAAAAAIKJdu3ZNFRUVstZq06ZNam5uliQlJycrJydHxhjl5uYqIyPDcVIAkcYX+qx+BwAAAAAgQty4cUPLly+XtVbr169XU1OTJCkhIUFz5szRkiVLtGjRInXo0MFxUgCRjOIMAAAAABARbt++rZUrV8paq7Vr16qhoUGSFB8frxkzZsgYo/z8fGVmZjpOCiBa8FZNAAAAAEDYunPnjtasWSNrrVavXq3a2lpJks/n07Rp02SMUWFhobp27eo4KYBoRHEGAAAAAAgr9fX1evPNN2Wt1YoVK1RTU+PNXnjhBRljVFRUpJ49ezpMCSAWUJwBAAAAAJxraGjQhg0bZK1VZWWlbt686c3Gjx8vY4yKi4vVt29fhykBxBqKMwAAAACAE01NTXr77bdlrVV5ebmqq6u92bPPPitjjPx+v/r37+8wJYBYRnEGAAAAAGgzzc3N2rJli6y1Kisr0+XLl73ZiBEjvLJsyJAhDlMCwF0UZwAAAACAVhUMBrVt2zZZa1VSUqLz5897s6eeekrGGBljNGzYMIcpAeAvUZwBAAAAAFpcKBTSzp07Za1VIBDQ6dOnvdmAAQO8suyZZ56Rz+dzmBQAHo7iDAAAAADQIkKhkPbt2+eVZcePH/dmWVlZ8vv9MsZo7NixlGUAIgLFGQAAAADgiXz88cdatmyZAoGAPv30U++8Z8+eXlk2YcIExcXFOUwJAI+O4gwAAAAA8Mg+/fRTWWtlrdXHH3/snXft2lVFRUUyxmjy5MmKj493mBIAngzFGQAAAADgKzl+/LgCgYCstdq7d693npmZqYKCAhljNG3aNCUk8K0mgOjA32YAAAAAgIc6ffq0V5bt2LHDO+/QoYMWL14sY4xmzZqlxMREhykBoHVQnAEAAAAA/sz58+dVUlIia63ef/997zwjI0OLFi2SMUZz585VcnKyw5QA0PoozgAAAAAAunTpksrKymSt1bvvvqtQKCRJSk1NVW5urowxmj9/vlJTUx0nBYC2Q3EGAAAAADHq2rVrKi8vl7VWmzZtUjAYlCQlJycrJydHxhjl5uYqIyPDcVIAcMMX+uzHCAAAAACAqHfjxg1VVlbKWqu33npLTU1NkqTExETNmTNHxhjl5eWpffv2jpMCgHsUZwAAAAAQ5W7fvq0VK1bIWqs333xTDQ0NkqT4+HjNnDlTxhjl5+erU6dOjpMCQHjhrZoAAAAAEIXu3Lmj1atXy1qr1atXq66uTpLk8/k0ffp0GWNUUFCgrl27Ok4KAOGL4gwAAAAAokRdXZ3efPNNWWu1cuVK1dTUeLPJkyfLGKOioiL16NHDYUoAiBwUZwAAAAAQwRoaGrRhwwZZa1VZWambN296s/Hjx8sYo+LiYvXt29dhSgCITBRnAAAAABBhmpqa9Pbbb8taq/LyclVXV3uzZ599VsYY+f1+9e/f32FKAIh8FGcAAAAAEAGam5u1ZcsWWWtVVlamy5cve7MRI0bIGCNjjAYPHuwwJQBEF4ozAAAAAAhTwWBQH3zwgay1Kikp0YULF7zZU0895ZVlw4YNc5gSAKIXxRkAAAAAhJFQKKQdO3bIWqtAIKAzZ854swEDBnhl2TPPPCOfz+cwKQBEP4ozAAAAAHAsFApp7969Xll24sQJb5aVlSW/3y9jjMaOHUtZBgBtiOIMAAAAABw5cOCArLWy1urIkSPeea9evVRcXCxjjCZMmKC4uDiHKQEgdlGcAQAAAEAbOnz4sFeWHTx40Dvv1q2bioqKZIzR5MmTKcsAIAxQnAEAAABAKzt+/LhXlu3bt887z8zMVGFhoYwxmjp1qhIS+BYNAMIJfysDAAAAQCs4deqUAoGArLXauXOnd96hQwfl5+fLGKOZM2cqMTHRYUoAwBehOAMAAACAFnLu3DmVlpbKWqv333/fO8/IyNCiRYu0ZMkSzZkzR8nJyQ5TAgC+KoozAAAAAHgCly5dUllZmay1evfddxUKhSRJqampys3NlTFG8+fPV2pqquOkAIBHRXEGAAAAAI/o2rVrKi8vl7VWmzZtUjAYlCQlJycrJydHxhjl5uYqIyPDcVIAwJPwhT77cQgAAAAA4KFu3LihyspKWWv11ltvqampSZKUmJioOXPmyBijvLw8tW/f3nFSAEBLoTgDAAAAgIe4deuWVq5cKWut3nzzTTU0NEiS4uPjNXPmTBljlJ+fr06dOjlOCgBoDRRnAAAAAHCfO3fuaPXq1bLWavXq1aqrq5MkxcXFaerUqTLGqKCgQF27dnWcFADQ2rjGGQAAAICYV1dXpzfffFPWWq1cuVI1NTXebPLkyTLGqKioSD169HCYEgDQ1ijOAAAAAMSkhoYGvfXWW7LWavny5bp586Y3mzBhgowxKi4uVp8+fRymBAC4RHEGAAAAIGY0NTVp06ZNstaqoqJC1dXV3mzMmDEyxsjv96tfv37uQgIAwgbFGQAAAICo1tzcrHfffVfWWpWVlenKlSvebOTIkV5ZNnjwYIcpAQDhiOIMAAAAQNQJBoP64IMPZK1VSUmJLly44M2GDh0qY4yMMXr66acdpgQAhDuKMwAAAABRIRQKaceOHbLWKhAI6MyZM95s4MCBXlk2cuRI+Xw+h0kBAJGC4gwAAABAxAqFQtq7d69Xlp04ccKbZWVleWXZmDFjKMsAAI+M4gwAAABAxDlw4ICstbLW6siRI955r1695Pf7ZYzRhAkTKMsAAE+E4gwAAABARDh8+LBXlh08eNA779atm4qKimSM0eTJkxUXF+cwJQAgmlCcAQAAAAhbx48f98qyffv2eeeZmZkqLCyUMUZTp05VQgLf2gAAWh7/dwEAAAAQVk6dOqVAICBrrXbu3Omdd+jQQfn5+TLGaObMmUpMTHSYEgAQCyjOAAAAADh37tw5lZSUyFqrDz74wDvPyMhQXl6ejDGaM2eOkpOTHaYEAMQaijMAAAAATly6dEmlpaWy1mrLli0KhUKSpLS0NOXm5soYo5ycHKWmpjpOCgCIVRRnAAAAANrM1atXVV5eLmut3n77bQWDQUlScnKy5s+fL2OMcnNzlZ6e7jgpAACSL/TZj3UAAAAAoBVcv35dlZWVstZqw4YNampqkiQlJiZq7ty5MsZo0aJFat++veOkAAD8OYozAAAAAC3u1q1bWrFihay1WrdunRoaGiRJ8fHxmjVrlowxWrx4sTp16uQ4KQAAD0dxBgAAAKBF3LlzR6tWrZK1VmvWrFFdXZ0kKS4uTtOmTZMxRgUFBerSpYvjpAAAfDVc4wwAAADAY6urq9PatWtlrdXKlSt1584dbzZlyhQZY1RYWKgePXo4TAkAwOOhOAMAAADwSBoaGvTWW2/JWqvKykrdunXLm02YMEHGGBUXF6tPnz4OUwIA8OQozgAAAAB8qaamJm3atEnWWlVUVKi6utqbjRkzRsYY+f1+9evXz11IAABaGMUZAAAAgAdqbm7Wu+++K2utysrKdOXKFW82cuRIGWNkjNGgQYMcpgQAoPVQnAEAAADwBINBvf/++7LWqrS0VBcuXPBmQ4cO9cqyp59+2mFKAADaBsUZAAAAEONCoZC2b98ua61KSkp05swZbzZw4ECvLBs5cqR8Pp/DpAAAtC2KMwAAACAGhUIh7dmzR9ZaBQIBVVVVebPs7Gz5/X4ZYzRmzBjKMgBAzKI4AwAAAGJEKBTSgQMHZK2VtVZHjx71Zr169fLKsgkTJlCWAQAgijMAAAAg6h06dMgryz755BPvvFu3biouLpYxRi+88ILi4uIcpgQAIPxQnAEAAABR6NixY15Ztn//fu+8c+fOKiwslDFGU6dOVXx8vMOUAACEN4ozAAAAIEqcPHlSgUBA1lrt2rXLO+/YsaPy8/NljNGMGTOUmJjoMCUAAJGD4gwAAACIYOfOnVNJSYmWLVumbdu2eecZGRnKy8vTkiVLNHv2bCUnJztMCQBAZKI4AwAAACLMxYsXVVZWJmuttmzZolAoJElKS0tTbm6ujDHKyclRamqq46QAAEQ2ijMAAAAgAly9elXl5eWy1urtt99WMBiUJCUnJ2v+/Pkyxig3N1fp6emOkwIAED18oc9+PAUAAAAgrFy/fl2VlZWy1mrDhg1qamqSJCUmJmru3LkyxmjRokVq376946QAAEQnijMAAAAgjNy6dUsrVqyQtVbr1q1TQ0ODJCk+Pl6zZs2SMUaLFy9Wp06dHCcFACD6UZwBAAAAjtXU1Gj16tWy1mrNmjWqq6uTJMXFxWnatGkyxqigoEBdunRxnBQAgNjCNc4AAAAAB+rq6rR27VpZa7Vy5UrduXNHkuTz+TRlyhQZY1RYWKgePXo4TgoAQOyiOAMAAADaSENDg9avXy9rrZYvX65bt255s4kTJ8oYo+LiYvXu3dthSgAA8BmKMwAAAKAVNTY2atOmTbLWqqKiQtevX/dmY8eOlTFGfr9f2dnZDlMCAIAHoTgDAAAAWlhzc7M2b94sa63Kysp09epVb/bMM894ZdmgQYMcpgQAAF+G4gwAAABoAcFgUO+//76WLVum0tJSXbx40Zs9/fTTMsbIGKOhQ4c6TAkAAB4FxRkAAADwmEKhkLZv3y5rrQKBgM6ePevNBg0a5JVlI0aMkM/nc5gUAAA8DoozAAAA4BGEQiHt2bPHK8uqqqq8WXZ2tleWPfvss5RlAABEOIozAAAA4EuEQiEdOHBA1lpZa3X06FFv1rt3b/n9fhljNH78eMoyAACiCMUZAAAA8BCHDh3yyrJPPvnEO+/evbuKioq0ZMkSPf/884qLi3OYEgAAtBaKMwAAAOA+x44d88qy/fv3e+edO3dWYWGhjDGaOnWq4uPjHaYEAABtgeIMAAAAMe/kyZMKBAKy1mrXrl3eeceOHZWfny9jjGbMmKHExESHKQEAQFujOAMAAEBMOnv2rEpKSmSt1bZt27zzdu3aKS8vT8YYzZkzR0lJSQ5TAgAAlyjOAAAAEDMuXryo0tJSWWu1detWhUIhSVJaWpoWLlwoY4xycnKUkpLiOCkAAAgHFGcAAACIaleuXFF5ebmstXrnnXcUDAYlSSkpKZo/f76MMVqwYIHS09MdJwUAAOHGF/rsx2wAAABAlLh+/boqKipkrdWGDRvU3NwsSUpMTNS8efNkjNGiRYvUrl07x0kBAEA4ozgDAABAVLh586ZWrFgha63WrVunxsZGSVJCQoJmzZolY4wWL16sjh07Ok4KAAAiBcUZAAAAIlZNTY1WrVola63WrFmj+vp6SVJcXJymT58uY4wKCgrUuXNnx0kBAEAk4hpnAAAAiCi1tbVau3atrLVatWqV7ty5I0ny+Xx68cUXZYxRYWGhunfv7jgpAACIdBRnAAAACHsNDQ1av369rLVavny5bt265c0mTpyoJUuWqKioSL1793aYEgAARBuKMwAAAISlxsZGbdq0SdZaVVRU6Pr1695s7NixMsbI7/crOzvbYUoAABDNKM4AAAAQNpqbm7V582ZZa1VWVqarV696s2eeecYrywYNGuQwJQAAiBUUZwAAAHAqGAzqvffek7VWpaWlunjxojd7+umnZYyRMUZDhw51mBIAAMQiijMAAAC0uVAopA8//FDWWpWUlOjs2bPebNCgQV5ZNmLECPl8PodJAQBALKM4AwAAQJsIhULavXu3rLUKBAI6efKkN8vOzvbKsmeffZayDAAAhAWKMwAAALSaUCikjz76yCvLjh496s169+4tv98vY4zGjx9PWQYAAMIOxRkAAABa3CeffCJrray1OnTokHfevXt3FRcXyxij559/XnFxcQ5TAgAAfDGKMwAAALSIo0ePemXZRx995J136dJFhYWFMsboxRdfVHx8gObInQAAEkBJREFUvMOUAAAAXx3FGQAAAB5bVVWVAoGArLXavXu3d96xY0cVFBTIGKPp06crMTHRYUoAAIDHQ3EGAACAR3L27FmVlJRo2bJl+vDDD73zdu3aafHixTLGaPbs2UpKSnKYEgAA4MlRnAEAAOBLXbx4UaWlpbLWauvWrQqFQpKktLQ0LVy4UMYY5eTkKCUlxXFSAACAlkNxBgAAgAe6cuWKysvLZa3VO++8o2AwKElKSUnR/PnzZYzRggULlJ6e7jgpAABA6/CFPvtxIQAAAGJedXW1KisrZa3Vhg0b1NzcLElKTEzUvHnzZIzRokWL1K5dO8dJAQAAWh/FGQAAQIy7efOmVqxYIWut1q1bp8bGRklSQkKCZs2aJWOMFi9erI4dOzpOCgAA0LYozgAAAGJQTU2NVq1aJWut1qxZo/r6eklSXFycpk+fLmOMCgoK1LlzZ8dJAQAA3OEaZwAAADGitrZWa9eulbVWq1at0p07dyRJPp9PL774oowxKiwsVPfu3R0nBQAACA8UZwAAAFGsvr5e69evl7VWy5cv1+3bt73ZpEmTZIxRUVGRevfu7TAlAABAeKI4AwAAiDKNjY3auHGjrLWqqKjQjRs3vNlzzz0nY4yKi4uVnZ3tMCUAAED4ozgDAACIAs3NzXrnnXdkrVV5ebmuXr3qzUaNGiVjjPx+vwYOHOgwJQAAQGShOAMAAIhQwWBQ7733npYtW6bS0lJdunTJmw0bNkzGGBlj9NRTTzlMCQAAELkozgAAACJIKBTShx9+KGutSkpKdPbsWW82ePBgrywbMWKEw5QAAADRgeIMAAAgzIVCIe3evVvWWgUCAZ08edKb9evXzyvLRo8eLZ/P5zApAABAdKE4AwAACEOhUEgfffSRrLWy1urYsWPerE+fPvL7/TLGaNy4cZRlAAAArYTiDAAAIIx88sknXll26NAh77xHjx4qKirSkiVLNGnSJMXFxTlMCQAAEBsozgAAABw7evSoV5Z99NFH3nmXLl1UWFgoY4xefPFFxcfHO0wJAAAQeyjOAAAAHKiqqlIgEJC1Vrt37/bOO3bsqIKCAhljNGPGDCUk8M81AAAAV/iXGAAAQBs5c+aMSkpKZK3Vhx9+6J23a9dOixcvljFGs2fPVlJSksOUAAAA+AzFGQAAQCu6cOGCSktLZa3V1q1bvfP09HQtXLhQxhjNmzdPKSkpDlMCAADgQSjOAAAAWtiVK1dUVlYma602b96sYDAoSUpJSdGCBQtkjNGCBQuUlpbmOCkAAAC+CMUZAABAC6iurlZFRYWstdq4caOam5slSUlJSZo3b56MMVq4cKHatWvnOCkAAAC+Kl8oFAq5DgEAABCJbt68qeXLl8taq/Xr16uxsVGSlJCQoNmzZ8sYo7y8PHXs2NFxUgAAADwOijMAAIBHUFNTo5UrV8paq7Vr16q+vl6SFBcXpxkzZsgYo/z8fHXu3NlxUgAAADwp3qoJAADwJWpra7VmzRpZa7Vq1SrV1tZKknw+n6ZOnSpjjAoLC9WtWzfHSQEAANCSKM4AAAAeoL6+XuvXr9eyZcu0YsUK3b5925tNmjRJS5YsUVFRkXr16uUwJQAAAFoTxRkAAMA9jY2N2rhxo6y1qqio0I0bN7zZc889J2OM/H6/srKyHKYEAABAW6E4AwAAMa2pqUmbN2+WtVbl5eW6evWqNxs1apRXlg0cONBhSgAAALhAcQYAAGJOMBjU1q1bZa1VaWmpLl265M2GDRsmY4yMMXrqqaccpgQAAIBrFGcAACAmhEIhbdu2TdZalZSU6Ny5c95s8ODBXlk2YsQIhykBAAAQTijOAABA1AqFQtq1a5estQoEAjp16pQ369evn1eWjR49Wj6fz2FSAAAAhCOKMwAAEFVCoZD279/vlWXHjh3zZn369JHf75cxRuPGjaMsAwAAwBeiOAMAAFHh4MGDstbKWqvDhw975z169FBxcbGMMZo0aZLi4uIcpgQAAEAkoTgDAAAR68iRI15ZduDAAe+8S5cuKioqkjFGU6ZMUXx8vMOUAAAAiFQUZwAAIKJUVVV5ZdmePXu8806dOqmgoEDGGE2fPl0JCfwzBwAAAE+Gf1ECAICwd+bMGQUCAVlrtX37du+8Xbt2ys/PlzFGs2bNUlJSksOUAAAAiDYUZwAAICxduHBBpaWlstZq69at3nl6eroWLlwoY4zmzZunlJQUhykBAAAQzSjOAABA2Lhy5YrKyspkrdXmzZsVDAYlSSkpKVqwYIGMMVqwYIHS0tIcJwUAAEAsoDgDAABOVVdXq6KiQtZabdy4Uc3NzZKkpKQkzZs3T8YYLVy4UO3atXOcFAAAALHGFwqFQq5DAACA2HLz5k0tX75c1lqtX79ejY2NkqSEhATNnj1bxhjl5eWpY8eOjpMCAAAgllGcAQCANlFTU6OVK1fKWqu1a9eqvr5ekhQXF6cZM2bIGKP8/Hx17tzZcVIAAADgLt6qCQAAWk1tba3WrFkja61WrVql2tpaSZLP59PUqVNljFFhYaG6devmOCkAAADwlyjOAABAi6qvr9e6detkrdWKFSt0+/Ztb/b888/LGKOioiL16tXLYUoA/3979xtiV33ncfxzk+xMJlolFwIKRmJAklYLkz+TjVhBwT+o+DdmTiGy1Aptqbtslz4L2322fdQHLtuGUCp5ULLLSYhRN1UQEWWUpkkmsa5IRNBUVERhRDd2GOM4++BO7mr3lz/3zp3cWF8vGMK9557f+T4LvPmdcwCAMxPOAIA5O3HiRJ555pnUdZ3HHnssH330UfvYyMhIqqrK5s2bc/nll/dxSgAA6IxwBgB05bPPPstzzz2Xuq7z6KOPZmJion1seHg4VVVldHQ0K1eu7OOUAADQPeEMADhrn3/+ecbGxlLXdfbs2ZP333+/feyqq65qx7JVq1b1cUoAAOgN4QwAOK2ZmZns378/dV1n9+7deffdd9vHrrzyylRVlaqqcvXVV/dxSgAA6D3hDAD4f2ZmZjI+Pp66rrNr16689dZb7WNXXHFFe2fZ8PBwGo1GHycFAID5I5wBAElasezll19OXdep6zpvvPFG+9jy5cszOjqaqqqyfv16sQwAgK8F4QwAunHsWHLoUDI+nhw5kkxMJJ9+mgwMJM1msmZNsm5dsn59smJFv6c9rVdffbUdy1577bX295dcckk7lm3cuDELFizo45QAAHDuNWZmZmb6PQQAfCVMTiZ1nWzblhw8ePbnjYwkDz2UjI4mQ0PzN18HXn/99XYse+WVV9rfL1u2LJs2bUpVVbnuuuuycOHCPk4JAAD9JZwBwJlMTycPP5z8/OetnWXdajaTrVuTn/wk6UOQevPNN7Nr167UdZ0jR460v1+6dGnuvffeVFWVG264IYsW2ZAOAACJcAYAp3f0aPLAA8n+/b1bc+PGZMeOZPXq3q15Cm+//XY7lh04cKD9/UUXXZS77747VVXlxhtvzMDAwLzPAgAAXzXCGQCcys6dyYMPJlNTvV97cDB55JFky5aeL/3ee+9l9+7dqes6L774Yvv7Cy64IHfeeWeqqsott9ySxYsX9/zaAADw10Q4A4CSX/86+eEP5/cajUayfXvygx/MeakPPvgge/bsSV3Xef7553Pyv/ehoaHcfvvtqaoqt912W5YsWTLnawEAwNeFcAYAf2nnzuT++8/NtRqN5Le/7Wrn2cTERPbu3Zu6rvPss89meno6STIwMJBbb701VVXljjvuyIUXXtjrqQEA4GtBOAOALzp6NBke7ur2zONJvpnk7dnPO5J872xOHBxMXnrprJ559vHHH+fxxx9PXdd5+umnc+LEiSTJokWLcvPNN6eqqtx11125+OKLO54fAAD4Mq/NAoCTpqdbLwLo8plm/5z/i2YdmZpKvv/9ZGys+LbN48ePZ9++fanrOk899VSmZudbuHBhbrrpplRVlXvuuSfNZrOruQEAgDLhDABOevjhrt+eeTjJL5P8bZI/dLPA73/fuv5Pf5okmZyczJNPPpm6rrNv375MTk4mSRqNRq6//vpUVZVNmzZl2bJlXc0LAACcmVs1ASBJJieTyy5LJiY6PvXztILZkSQHk6yd/f6sb9WcNdNs5nfbt+c/9u7NE088kU8++aR97Nprr01VVbnvvvty6aWXdjwjAADQOTvOACBJ6rqraJYk/57kUJK/T7JmDiM0Jiaye3Q0/zn7eWRkJFVVZXR0NMuXL5/DygAAQDfsOAOAJNmwITl4sOPT3knrhQBLkryW5OIkjdljne44S5L/XrIkv/vZzzI6OpqVK1d2PA8AANA7dpwBwLFjXUWzJPmHJP+TZFta0WwuZpJ8+89/zre/+91kxYo5rgYAAMzVgn4PAAB9d+hQV6f9V5K9Sa5Pcn8Pxji5Uy3j4z1YDQAAmCvhDAC6CFWfpPVMs79J8qvzYB4AAKD3hDMAOHKk41P+JclbSf4pybd6Pc/hw71eEQAA6IJwBgAdvk3zpST/lmR5WgGt5z78cD5WBQAAOuTlAADw6acd/fwfk0wn+de0Huh//BS/m5o9tiCtt26etampjuYBAADmhx1nADAw0NHP/zT7798l+Ubh76QfzX7u+FbOwcFOzwAAAOaBcAYAzWa/J/iypUv7PQEAABDhDACSNWs6+vmxtG7RPNXfSTtmPx/rdJ61azs9AwAAmAfCGQCsW9fvCb7sfJsHAAC+poQzAFi/vt8TfJlwBgAA5wXhDABWrEhGRvo9RcuGDa15AACAvhPOACBJfvzjni118lln3+vzHAAAwNw0ZmZmZs78MwD4Kzc5mVx2WTIx0b8Zms3knXeSxYv7NwMAANBmxxkAJMnQULJ1a39n2LpVNAMAgPOIHWcAcNL0dPKd7yT795/7a19zTTI2lixceO6vDQAAFAlnAPBFR48mw8PJ1NS5u+bgYPLHPyarVp27awIAAGfkVk0A+KLVq5NHHkkajXNzvUajdT3RDAAAzjvCGQD8pS1bku3b5z+eNRqt62zZMr/XAQAAuuJWTQA4lZ07kwcfnJ/bNhcvTn7zG9EMAADOY8IZAJzO0aPJAw/09oUB11yT7Njh9kwAADjPuVUTAE5n9erkhReSX/wiaTbntlaz2VpnbEw0AwCArwA7zgDgbE1OJrt2Jdu2JQcOnP15GzYkDz2UbN6cDA3N33wAAEBPCWcA0I1jx5Lx8dbf4cPJhx+2noU2OJgsXZqsXZusW9f6W7Gi39MCAABdEM4AAAAAoMAzzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAAuEMAAAAAAqEMwAAAAAoEM4AAAAAoEA4AwAAAIAC4QwAAAAACoQzAAAAACgQzgAAAACgQDgDAAAAgALhDAAAAAAKhDMAAAAAKBDOAAAAAKBAOAMAAACAgv8F4aSvGJTiUpoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" } ], "source": [ "def extract_path_edges(G, source, target):\n", " new_G = None\n", " if nx.has_path(G, source, target):\n", " nodes_of_interest = nx.shortest_path(G, source, target)\n", " new_G = G.subgraph(nodes_of_interest)\n", " \n", " return new_G\n", "\n", "\n", "source = 4\n", "target = 14\n", "new_G = extract_path_edges(G, source, target)\n", "nx.draw(new_G, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hubs Revisited\n", "\n", "It looks like individual 19 is an important person of some sorts - if a message has to be passed through the network in the shortest time possible, then usually it'll go through person 19. Such a person has a high **betweenness centrality**. This is implemented as one of NetworkX's centrality algorithms.\n", "Note that degree centrality and betweenness centrality don't necessarily correlate. Betweenness centrality of a node $v$ is the sum of the fraction of all-pairs shortest paths that pass through $v$:\n", "\n", "$$ c_B(v) = \\sum_{s,t \\in V} \\frac{\\sigma(s, t \\vert v)}{\\sigma(s, t)} $$\n", "\n", "Where:\n", "\n", "- $V$ denotes the set of nodes\n", "- $\\sigma(s, t|v)$ denotes the number of shortest paths between $s$ and $t$ that contain vertex $v$\n", "- $\\sigma(s, t)$ denotes the number of shortest paths between $s$ and $t$ " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "110.50595238095238" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.betweenness_centrality(G, normalized = False)[19]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Cliques, Triangles and Squares" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's pose a problem: If A knows B and B knows C, would it be probable that A knows C as well? In a graph involving just these three individuals, it may look as such:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 621 } }, "output_type": "display_data" } ], "source": [ "G = nx.Graph()\n", "G.add_nodes_from(['a', 'b', 'c'])\n", "G.add_edges_from([('a', 'b'), ('b', 'c')])\n", "nx.draw(G, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's think of another problem: If A knows B, B knows C, C knows D and D knows A, is it likely that A knows C and B knows D? How would this look like?" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" } ], "source": [ "G.add_node('d')\n", "G.add_edge('c', 'd')\n", "G.add_edge('d', 'a')\n", "nx.draw(G, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The set of relationships involving A, B and C, if closed, involves a triangle in the graph. The set of relationships that also include D form a square. You may have observed that social networks (LinkedIn, Facebook, Twitter etc.) have friend recommendation systems. How exactly do they work? Apart from analyzing other variables, closing triangles is one of the core ideas behind the system. A knows B and B knows C, then A probably knows C as well.\n", "\n", "## Cliques\n", "\n", "In a social network, **cliques** are groups of people in which everybody knows everybody. Triangles are a simple example of **cliques**. Let's try implementing a simple algorithm that finds out whether a node is present in a triangle or not.\n", "\n", "The core idea is that if a node is present in a triangle, then its neighbors' neighbors' neighbors should include itself." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" } ], "source": [ "# reload the network\n", "G = nx.read_gpickle('Synthetic Social Network.pkl')\n", "nx.draw(G, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise\n", "\n", "Write a function that takes in one node and its associated graph as an input, and returns a list or set of itself + all other nodes that it is in a triangle relationship with.\n", "\n", "Hint: The neighbor of my neighbor should also be my neighbor, then the three of us are in a triangle relationship." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "def get_triangles(G, node):\n", " \n", " # store all the data points that are in a triangle\n", " # include the targeted node to draw sub-graph later\n", " triangles = set([node])\n", " neighbors1 = set(G.neighbors(node))\n", " for n in neighbors1:\n", " \n", " # if the target node is in a triangle relationship, then\n", " # the target node's neighbor's neighbor\n", " # should intersect with the target node's neighbor\n", " neighbors2 = set(G.neighbors(n))\n", " triangle = neighbors1.intersection(neighbors2)\n", " \n", " # if the intersection exists, add the point (the first neighbor) and \n", " # the set (second neighbor)\n", " if triangle:\n", " triangles.update(triangle)\n", " triangles.add(n)\n", " \n", " return triangles" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{1, 2, 3, 6, 23}\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" } ], "source": [ "print(get_triangles(G = G, node = 3))\n", "\n", "# drawing out the subgraph composed of those nodes to verify\n", "nx.draw(G.subgraph(get_triangles(G = G, node = 3)), with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Friend Recommendation: Open Triangles\n", "\n", "Let's see if we can do some friend recommendations by looking for open triangles. Open triangles are like those that we described earlier on - A knows B and B knows C, but C's relationship with A isn't captured in the graph." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "def get_open_triangles(G, node):\n", " # the target node's neighbor's neighbor's neighbor's should\n", " # not include the target node\n", " open_triangles = []\n", " neighbors1 = set(G.neighbors(node))\n", "\n", " for node1 in neighbors1:\n", " # remove the target node from the target node's neighbor's\n", " # neighbor's, since it will certainly go back to itself\n", " neighbors2 = set(G.neighbors(node1))\n", " neighbors2.discard(node)\n", "\n", " for node2 in neighbors2:\n", " neighbors3 = set(G.neighbors(node2))\n", "\n", " if node not in neighbors3:\n", " open_triangle = set([node])\n", " open_triangle.update([node1, node2])\n", " open_triangles.append(open_triangle)\n", " \n", " return open_triangles" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{1, 3, 4},\n", " {1, 3, 12},\n", " {1, 3, 29},\n", " {2, 3, 16},\n", " {2, 3, 19},\n", " {3, 8, 17},\n", " {3, 8, 22},\n", " {3, 20, 23}]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "open_triangles = get_open_triangles(G = G, node = 3)\n", "open_triangles" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABM4AAAOhCAYAAAAOjOlUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XeY3AWdP/A3IFVq6AJClJJNYggBQu+CFKX3EKTubnpC6KEXqXJYjjs99fQQBE5RLIgHNpAj0pIQsrvgDwjSW3rbbHbn90dyPIgLBLK7352Z1+t5eJhlZmfe/Pt+3p/Z5UqlUikAAAAAwD9YvugAAAAAANAdKc4AAAAAoB2KMwAAAABoh+IMAAAAANqhOAMAAACAdijOAAAAAKAdijMAAAAAaIfiDAAAAADaoTgDAAAAgHYozgAAAACgHYozAAAAAGiH4gwAAAAA2qE4AwAAAIB2KM4AAAAAoB2KMwAAAABoh+IMAAAAANqhOAMAAACAdijOAAAAAKAdijMAAAAAaIfiDAAAAADaoTgDAAAAgHYozgAAAACgHYozAAAAAGiH4gwAAAAA2qE4AwAAAIB2KM4AAAAAoB2KMwAAAABoh+IMAAAAANqhOAMAAACAdijOAAAAAKAdijMAAAAAaIfiDAAAAADaoTgDAAAAgHYozgAAAACgHYozAAAAAGiH4gwAAAAA2qE4AwAAAIB2KM4AAAAAoB2KMwAAAABoh+IMAAAAANqhOAMAAACAdijOAAAAAKAdijMAAAAAaIfiDAAAAADaoTgDAAAAgHYozgAAAACgHYozAAAAAGiH4gwAAAAA2qE4AwAAAIB2KM4AAAAAoB2KMwAAAABoh+IMAAAAANqhOAMAAACAdijOAAAAAKAdijMAAAAAaIfiDAAAAADaoTgDAAAAgHYozgAAAACgHYozAAAAAGiH4gwAAAAA2qE4AwAAAIB2KM4AAAAAoB2KMwAAAABoh+IMAAAAANqhOAMAAACAdijOAAAAAKAdijMAAAAAaIfiDAAAAADaoTgDAAAAgHYozgAAAACgHYozAAAAAGiH4gwAAAAA2qE4AwAAAIB2KM4AAAAAoB2fKjoAAAAAQFmZOjV5/PHkiSeSCROSadOShQuTlVZKevRIttsu2X77ZIcdki22KDoty2C5UqlUKjoEAAAAQLc2f35y553JLbckjz229L+3447JsGHJsccmq67aefnoFIozAAAAgA/S2prcfHPyta8tXpZ9Uj16JBdemIwenaywQsflo1MpzgAAAADa09SUnHpqMn58x73nzjsn//mfSa9eHfeedBp/HAAAAADg/W67Lenfv2NLs2Tx+/Xvv/j96fYUZwAAAADv9d3vJiedlDQ3d877Nzcngwcv/hy6NaeaAAAAAP/nttsWl2ZdYbnlkltvTQYN6prP42NTnAEAAAAki7/TrH//pLk5s5P8McljSR5f8u93lrysMclHfUNZQ5Ibk/whyWtJ1kjSP0ltkmPf+8KVV04mTvSdZ92U4gwAAACgtTXZffd3v9PsF0mO+ICXflRxdluS05IsXPLz2knmJmlZ8vPgJD9Kstz//cIuuyQPPeSvbXZDvuMMAAAA4Oab/+kPAWyQ5OAklyZZ2m8jeyLJqVlcmn0lyQtJpieZneTfk6yU5NYk1773lx55ZPHn0+1YnAEAAADVbf78ZNNNk2nT3v1PrUneu/+amqTnkscftjg7IovXalskaUqy8vuevyKLi7jVk7yYpMf/PdGjR/Lyy8mqq37S/ws6gcUZAAAAUN3uvPMfSrPkH0uzpdWa5H+WPB6Sfy7NkmRMFp9ozkny8/c+MW1actddn+BT6UyKMwAAAKC63XJLh7zN20nmLXm8zQe8Zo0kn1ny+P5OykHHUZwBAAAA1Wvq1OSxxzrkrZZ7z+PWD3ndoiX/nvL+Jx59dHEeug3FGQAAAFC9Hn+8w95q3SSfXvK44QNeMy3JG0sev9beC554osPysOwUZwAAAED16sCiaoUk+y15fEuSue285rr3PJ7dyXlYdoozAAAAoHpNmNChb3dhFhdoryU5KMmjSRYmeT3JlUluTLLikte2W8o8+WSH5mHZKM4AAACA6vW+v6a5rHZK8t0kn0ry0JKfV06ycZJLkvRPctqS167d3htMn96heVg2ijMAAACgei1c2OFveVqSiUnqknwhyWZZXKBdl+ThJAuWvG6r9n65ubnD8/DJfaroAAAAAACFWWmlTnnbPkn+/QOe+79jzF3ae3LllTslD5+MxRkAAABQvXr06NKPm5Jk8pLHJ7b3gnXW6bowfCTFGQAAAFC9ttuuyz5qYZJhSx4flGTb9l40YECX5eGjKc4AAACA6rX99h/41Nvv+ee9X9k/433Ptb3v94Zn8R8GmLvk57YlP++b5M9J1s8Hn3F+WB663nKlUqlUdAgAAACAQkydmvTs2e5Tyy3lW7yQZIsP+L21s7hAa1ny8xZJfpWk7we+2QvJFlt80LN0MYszAAAAoHptsUWy444d+pbXJflSkk2TzEuyRhb/IYAbkzTkQ0qzgQOVZt2MxRkAAABQ3X74w+TUU4tOsTjHV79adAreQ3EGAAAAVLf585NNN02mTSsuQ48eySuvJKusUlwG/olTTQAAAKC6rbpqcuGFxWa48EKlWTdkcQYAAADQ2prsvnsyfnzXf/YuuyQPPZSssELXfzYfSnEGAAAAkCRNTUn//klzc9d95sorJ5MmJdts03WfyVJzqgkAAACQJL16Jd//frLccl3zecstt/jzlGbdluIMAAAA4P8MGpT8+793fnm23HKLP2fQoM79HJaJU00AAACA97vttrSddlqWX7gwpSQdWqOtskryve8pzcqAxRkAAADA+7SdcEIG9+2bR9LBpdkuuyQTJyrNyoTiDAAAAOB9vv/97+f2J5/MURtskHlXXJH06LFsb9ijR3LjjYv/eqbvNCsbTjUBAAAA3uP1119PTU1NZsyYkZ/85Cc5/vjjk/nzk7vuSm65JXn00aV/s4EDk2HDkmOOSVZdtfNC0ykUZwAAAADvccIJJ+SOO+7IgQcemHvvvTfLvf8PBUydmjzxxOJ/nnwymT49aW5OVl45WWedZMCAZPvtF/+zxRZF/C/QQRRnAAAAAEvcd999Oeigg7LqqqtmypQp6dmzZ9GRKJDvOAMAAABIMnfu3AwZMiRJcvnllyvNUJwBAAAAJIvLsqlTp6Zfv34ZPXp00XHoBpxqAgAAAFVv4sSJ2WGHHdLW1pbx48dn4MCBRUeiG7A4AwAAAKpaa2tramtr09rammHDhinNeJfFGQAAAFDVvvWtb2XkyJHZZJNN0tDQkDXXXLPoSHQTijMAAACgar388supqanJnDlzcvfdd+eII44oOhLdiFNNAAAAoGqNGDEic+bMyWGHHaY0459YnAEAAABV6Re/+EWOOOKIrL766mloaMhmm21WdCS6GYszAAAAoOrMmjUrw4cPT5JcffXVSjPapTgDAAAAqs5FF12UV155JTvuuGOGDRtWdBy6KaeaAAAAQFV59NFHs/POO2f55ZfP448/nv79+xcdiW7K4gwAAACoGi0tLamtrU2pVMqYMWOUZnwoxRkAAABQNW6++eZMmjQpm2++eS677LKi49DNOdUEAAAAqsILL7yQPn36ZP78+bn33ntz0EEHFR2Jbs7iDAAAAKh4pVIpQ4cOzfz583PccccpzVgqFmcAAABAxbvjjjtywgknZO21105jY2M22mijoiNRBizOAAAAgIo2ffr0jBo1Kkly3XXXKc1YaoozAAAAoKKdd955efPNN7PbbrvljDPOKDoOZcSpJgAAAFCxHnrooey5555ZccUVM3HixPTu3bvoSJQRizMAAACgIjU3N6euri7J4tWZ0oyPS3EGAAAAVKTrr78+jY2N2WqrrTJu3Lii41CGnGoCAAAAFefZZ59Nv3790tzcnN///vfZd999i45EGbI4AwAAACpKqVRKfX19mpub89WvflVpxidmcQYAAABUlB/+8Ic59dRTs+6666apqSnrrbde0ZEoU4ozAAAAoGK89dZb6dWrV6ZNm5Yf/ehHOfnkk4uORBlzqgkAAABUjLFjx2batGnZb7/9Mnjw4KLjUOYszgAAAICK8MADD2T//ffPyiuvnMmTJ2errbYqOhJlzuIMAAAAKHvz589PfX19kuTiiy9WmtEhFGcAAABA2bvqqqvy3HPPpU+fPjnnnHOKjkOFcKoJAAAAlLUpU6akf//+WbRoUf7yl79kt912KzoSFcLiDAAAAChbbW1tqa2tzaJFi1JXV6c0o0NZnAEAAABl6zvf+U7q6+uz0UYbpbGxMWuvvXbRkaggijMAAACgLL322mupqanJzJkzc+edd+bYY48tOhIVxqkmAAAAUJZGjx6dmTNn5uCDD84xxxxTdBwqkMUZAAAAUHbuvffeHHLIIVlttdUyZcqUbLHFFkVHogJZnAEAAABlZe7cuRk6dGiS5IorrlCa0WkUZwAAAEBZufTSS/Piiy9mu+22y6hRo4qOQwVzqgkAAACUjQkTJmTHHXdMqVTKX//61+ywww5FR6KCWZwBAAAAZaG1tTW1tbVpbW3NiBEjlGZ0OoszAAAAoCx84xvfyOjRo7PpppumoaEha6yxRtGRqHCKMwAAAKDbe+mll9K7d+/MmTMn99xzTw499NCiI1EFnGoCAAAA3VqpVMrw4cMzZ86cHHnkkUozuozFGQAAANCt3X333TnqqKOyxhprpLGxMZtssknRkagSFmcAAABAtzVz5syMGDEiSXLNNdcozehSijMAAACg2xo3blxeffXV7LTTTqmvry86DlXGqSYAAADQLY0fPz677rprVlhhhTzxxBPp169f0ZGoMhZnAAAAQLfT0tKS2tralEqljB07VmlGIRRnAAAAQLdz0003ZfLkyenZs2cuueSSouNQpZxqAgAAAN3K888/n759+2b+/Pn53e9+lwMOOKDoSFQpizMAAACg2yiVShkyZEjmz5+fE088UWlGoSzOAAAAgG7j9ttvz6BBg7LOOuukqakpG2ywQdGRqGIWZwAAAEC3MG3atIwePTpJcsMNNyjNKJziDAAAAOgWzj333Lz11lvZc889c9pppxUdB5xqAgAAAMV78MEHs9dee2XFFVfMpEmTUlNTU3QksDgDAAAAitXc3Jza2tokyQUXXKA0o9tQnAEAAACFuvbaa/PMM89k6623zgUXXFB0HHiXU00AAACgME1NTdl2222zcOHC/PGPf8zee+9ddCR4l8UZAAAAUIhSqZT6+vosXLgwp556qtKMbsfiDAAAACjED37wg5x++ulZb7310tTUlHXXXbfoSPAPFGcAAABAl3vzzTfTq1evTJ8+PbfeemtOOumkoiPBP3GqCQAAAHS5s846K9OnT8/++++fQYMGFR0H2mVxBgAAAHSp+++/PwcccEBWWWWVPP300/n85z9fdCRol8UZAAAA0GXmzZuX+vr6JMkll1yiNKNbU5wBAAAAXebKK6/M888/n759++bss88uOg58KKeaAAAAQJeYPHlyBgwYkNbW1jz88MPZZZddio4EH8riDAAAAOh0bW1tqa2tzaJFi1JfX680oyxYnAEAAACd7pZbbsmwYcOy8cYbp7GxMWuttVbRkeAjKc4AAACATvXqq6+mpqYms2bNyn//93/n6KOPLjoSLBWnmgAAAECnGjlyZGbNmpUvf/nLOeqoo4qOA0vN4gwAAADoNL/61a9y6KGH5tOf/nQaGhry2c9+tuhIsNQszgAAAIBOMWfOnAwbNixJcuWVVyrNKDuKMwAAAKBTXHzxxXnppZcyYMCAjBgxoug48LE51QQAAAA63BNPPJGBAwcmSR577LEMGDCg4ETw8VmcAQAAAB1q0aJFOfPMM9PW1pZRo0YpzShbijMAAACgQ33zm9/MhAkT8tnPfjZXXHFF0XHgE3OqCQAAAHSYF198Mb179868efPyq1/9Kl/+8peLjgSfmMUZAAAA0CFKpVKGDx+eefPm5eijj1aaUfYszgAAAIAO8dOf/jTHHHNM1lxzzTQ2NuYzn/lM0ZFgmVicAQAAAMts5syZGTlyZJLk2muvVZpRERRnAAAAwDK74IIL8tprr2WXXXZJXV1d0XGgQzjVBAAAAJbJI488kt122y0rrLBCJkyYkL59+xYdCTqExRkAAADwibW0tKS2tjalUinnnHOO0oyKojgDAAAAPrEbb7wxTz/9dD7/+c/n4osvLjoOdCinmgAAAMAn8txzz6Vv375ZsGBB7r///nzxi18sOhJ0KIszAAAA4GMrlUqpr6/PggULctJJJynNqEgWZwAAAMDH9uMf/ziDBw9Ojx490tTUlPXXX7/oSNDhLM4AAACAj+Wdd97JmDFjkiz+jjOlGZVKcQYAAAB8LOecc07efvvt7L333jnllFOKjgOdxqkmAAAAsNT+9Kc/ZZ999slKK62Up556Kttss03RkaDTWJwBAAAAS2XBggWpq6tLkowbN05pRsVTnAEAAABL5Zprrsmzzz6bXr165bzzzis6DnQ6p5oAAADAR2psbMy2226blpaWPPjgg9ljjz2KjgSdzuIMAAAA+FBtbW2pq6tLS0tLzjjjDKUZVcPiDAAAAPhQ3/ve93LmmWdmgw02SFNTU9ZZZ52iI0GXUJwBAAAAH+iNN95Ir169MmPGjNx+++054YQTio4EXcapJgAAAPCBxowZkxkzZuRLX/pSjj/++KLjQJeyOAMAAADadd999+Wggw7KqquumilTpqRnz55FR4IuZXEGAAAA/JN58+Zl6NChSZLLLrtMaUZVUpwBAAAA/+Tyyy/PCy+8kH79+mXMmDFFx4FCONUEAAAA/sGkSZOy/fbbp62tLePHj8/AgQOLjgSFsDgDAAAA3tXa2pra2tq0trZm2LBhSjOqmsUZAAAA8K5vf/vbGTFiRDbZZJM0NDRkzTXXLDoSFEZxBgAAACRJXnnlldTU1GT27Nm5++67c8QRRxQdCQrlVBMAAABIkowYMSKzZ8/OYYcdpjSDWJwBAAAASe65554cfvjhWX311dPQ0JDNNtus6EhQOIszAAAAqHKzZ8/O8OHDkyRXX3210gyWUJwBAABAlbvooovy8ssvZ4cddsiwYcOKjgPdhlNNAAAAqGKPPfZYdtpppyy//PJ57LHHst122xUdCboNizMAAACoUosWLUptbW1KpVJGjx6tNIP3UZwBAABAlbr55pszceLEbL755rn88suLjgPdjlNNAAAAqEJTp05Nnz59Mm/evPzmN7/JwQcfXHQk6HYszgAAAKDKlEqlDB06NPPmzcuxxx6rNIMPYHEGAAAAVebOO+/M8ccfn7XWWitNTU3ZaKONio4E3ZLFGQAAAFSR6dOnZ9SoUUmS6667TmkGH0JxBgAAAFXk/PPPzxtvvJHddtstZ555ZtFxoFtzqgkAAABV4i9/+Uv22GOPrLjiipkwYUL69OlTdCTo1izOAAAAoAosXLgwdXV1SZJzzz1XaQZLQXEGAAAAVeD6669PQ0NDttxyy4wbN67oOFAWnGoCAABAhXv22WfTr1+/NDc354EHHsh+++1XdCQoCxZnAAAAUMFKpVLq6+vT3Nyck08+WWkGH4PFGQAAAFSwH/3oRznllFOy7rrrpqmpKeutt17RkaBsWJwBAABAhXr77bczduzYJMnXv/51pRl8TIozAAAAqFBnn3123nnnney77745+eSTi44DZcepJgAAAFSgP/zhD9lvv/2y8sorZ/Lkydlqq62KjgRlx+IMAAAAKsyCBQtSX1+fJLnooouUZvAJKc4AAACgwlx99dX529/+lt69e+fcc88tOg6ULaeaAAAAUEEaGhrSv3//tLS05KGHHsruu+9edCQoWxZnAAAAUCHa2tpSW1ublpaW1NbWKs1gGVmcAQAAQIX47ne/m7q6umy44YZpbGzMOuusU3QkKGuKMwAAAKgAr7/+enr16pWZM2fmjjvuyHHHHVd0JCh7TjUBAACgAowePTozZ87MQQcdlGOPPbboOFARLM4AAACgzP32t7/NwQcfnNVWWy1TpkzJFltsUXQkqAgWZwAAAFDG5s6dmyFDhiRJLr/8cqUZdCDFGQAAAJSxyy67LC+++GL69++f0aNHFx0HKopTTQAAAChTEydOzA477JBSqZTx48dnxx13LDoSVBSLMwAAAChDra2tOfPMM9Pa2prhw4crzaATWJwBAABAGfrmN7+ZUaNGZdNNN01DQ0PWWGONoiNBxVGcAQAAQJl56aWX0rt378yZMye/+MUvcthhhxUdCSqSU00AAAAoMyNGjMicOXNyxBFHKM2gE1mcAQAAQBn5+c9/niOPPDJrrLFGGhsbs8kmmxQdCSqWxRkAAACUiVmzZmXEiBFJkq997WtKM+hkijMAAAAoE+PGjcsrr7ySnXbaKUOGDCk6DlQ8p5oAAABQBv76179ml112yfLLL58nn3wy/fr1KzoSVDyLMwAAAOjmWlpaUltbm1KplLFjxyrNoIsozgAAAKCb+5d/+Zc89dRT6dmzZy699NKi40DVcKoJAAAA3dgLL7yQPn36ZP78+bnvvvvypS99qehIUDUszgAAAKCbKpVKGTJkSObPn58TTjhBaQZdzOIMAAAAuqmf/OQnOfHEE7P22munqakpG264YdGRoKpYnAEAAEA3NG3atIwePTpJcsMNNyjNoACKMwAAAOiGzjvvvLz55pvZY489ctpppxUdB6qSU00AAADoZh566KHsueeeWXHFFTNp0qTU1NQUHQmqksUZAAAAdCPNzc2pra1NklxwwQVKMyiQ4gwAAAC6keuuuy5NTU3Zeuutc8EFFxQdB6qaU00AAADoJp555pn069cvCxcuzB//+MfsvffeRUeCqmZxBgAAAN1AqVRKfX19Fi5cmFNPPVVpBt2AxRkAAAB0A//5n/+Z0047Leutt16ampqy7rrrFh0Jqp7iDAAAAAr21ltvpVevXpk2bVpuvfXWnHTSSUVHAuJUEwAAAAp31llnZdq0afniF7+YQYMGFR0HWMLiDAAAAAp0//3354ADDsgqq6ySyZMnZ8sttyw6ErCExRkAAAAUZP78+RkyZEiS5OKLL1aaQTejOAMAAICCXHnllXnuuefSp0+fnH322UXHAd7HqSYAAAAUYPLkyRkwYEAWLVqUhx9+OLvuumvRkYD3sTgDAACALtbW1pa6urosWrQo9fX1SjPopizOAAAAoIv927/9W4YOHZqNNtoojY2NWXvttYuOBLRDcQYAAABd6NVXX01NTU1mzZqVu+66K8ccc0zRkYAP4FQTAAAAutCoUaMya9asHHLIITn66KOLjgN8CIszAAAA6CK//vWv85WvfCWrrbZaGhoasvnmmxcdCfgQFmcAAADQBebMmZNhw4YlSa688kqlGZQBxRkAAAB0gUsvvTR///vfM2DAgIwcObLoOMBScKoJAAAAnezJJ5/MjjvumCR59NFHs/322xecCFgaFmcAAADQiRYtWpTa2tq0tbVl5MiRSjMoIxZnAAAA0IluvvnmjBkzJptttlkaGhqy+uqrFx0JWEqKMwAAAOgkf//739O7d+/MnTs3v/zlL/OVr3yl6EjAx+BUEwAAADpBqVTK8OHDM3fu3Bx11FFKMyhDFmcAAADQCX72s5/l6KOPzpprrpnGxsZ85jOfKToS8DFZnAEAAEAHmzlzZkaMGJEkueaaa5RmUKYUZwAAANDBLrzwwrz22mvZeeedU19fX3Qc4BNyqgkAAAAd6JFHHsluu+2WFVZYIU8++WS+8IUvFB0J+IQszgAAAKCDtLS0pLa2NqVSKWeffbbSDMqc4gwAAAA6yNe//vU8/fTT+dznPpdLLrmk6DjAMnKqCQAAAB3gueeeS9++fbNgwYL8z//8T/bff/+iIwHLyOIMAAAAllGpVMqQIUOyYMGCDBo0SGkGFcLiDAAAAJbRbbfdlpNOOik9evRIY2NjNthgg6IjAR3A4gwAAACWwbRp0zJmzJgkyQ033KA0gwqiOAMAAIBlcM455+Stt97KXnvtlVNPPbXoOEAHcqoJAAAAn9Cf//zn7L333llppZXy1FNPZZtttik6EtCBLM4AAADgE2hubk5dXV2S5MILL1SaQQVSnAEAAMAncM011+SZZ55Jr169cv755xcdB+gETjUBAADgY2pqasq2226bhQsX5s9//nP23HPPoiMBncDiDAAAAD6Gtra21NXVZeHChTn99NOVZlDBLM4AAADgY/j+97+fM844IxtssEEaGxvTo0ePoiMBnURxBgAAAEvpzTffTK9evTJ9+vTcdtttOfHEE4uOBHQip5oAAACwlMaMGZPp06fngAMOyAknnFB0HKCTWZwBAADAUvjd736XAw88MKuuumqefvrpfO5znys6EtDJLM4AAADgI8ybNy9DhgxJklx66aVKM6gSijMAAAD4CFdccUVeeOGF9OvXL2eddVbRcYAu4lQTAAAAPsRTTz2VAQMGpK2tLY888kh22mmnoiMBXcTiDAAAAD5Aa2tramtr09ramqFDhyrNoMpYnAEAAMAH+Nd//dcMHz48n/nMZ9LY2Jg111yz6EhAF1KcAQAAQDteeeWV1NTUZPbs2fnZz36WI488suhIQBdzqgkAAADtGDlyZGbPnp1DDz00RxxxRNFxgAJYnAEAAMD7/PKXv8xhhx2W1VdfPQ0NDdlss82KjgQUwOIMAAAA3mP27NkZNmxYkuSqq65SmkEVU5wBAADAe1x88cV5+eWXs8MOO2T48OFFxwEK5FQTAAAAlnj88cez0047Zbnllstjjz2W7bbbruhIQIEszgAAACDJokWLcuaZZ6atrS2jR49WmgGKMwAAAEiSb3zjG5k4cWI233zzXH755UXHAboBp5oAAABUvalTp6ZPnz6ZN29efvOb3+Tggw8uOhLQDVicAQAAUNVKpVKGDRuWefPm5dhjj1WaAe+yOAMAAKCq3XXXXTnuuOOy1lprpbGxMRtvvHHRkYBuwuIMAACAqjVjxoyMGjUqSXLttdcqzYB/oDgDAACgap1//vl5/fXXs+uuu6a2trboOEA341RzsPzbAAAgAElEQVQTAACAqvTwww9n9913z6c+9alMmDAhffv2LToS0M1YnAEAAFB1Fi5c+O7C7Nxzz1WaAe1SnAEAAFB1brzxxjQ0NGTLLbfMRRddVHQcoJtyqgkAAEBV+X//7/+lb9++aW5uzgMPPJD99tuv6EhAN2VxBgAAQNUolUqpr69Pc3NzBg8erDQDPpTFGQAAAFXj1ltvzcknn5x11103jY2NWX/99YuOBHRjFmcAAABUhbfffjtnnXVWksXfcaY0Az6K4gwAAICqcM455+Ttt9/OPvvsk69+9atFxwHKgFNNAAAAKt4f//jH7Lvvvll55ZXz1FNPZeutty46ElAGLM4AAACoaAsWLEhdXV2SZNy4cUozYKkpzgAAAKhoX/va1/K3v/0tNTU1Oe+884qOA5QRp5oAAABUrIaGhvTv3z8tLS156KGHsvvuuxcdCSgjFmcAAABUpLa2ttTV1aWlpSVnnnmm0gz42CzOAAAAqEj/8R//kdra2my44YZpbGzMOuusU3QkoMwozgAAAKg4r7/+empqajJjxoz85Cc/yfHHH190JKAMOdUEAACg4owZMyYzZszIgQcemOOOO67oOECZsjgDAACgotx333056KCDsuqqq2bKlCnp2bNn0ZGAMmVxBgAAQMWYO3duhgwZkiS5/PLLlWbAMlGcAQAAUDEuv/zyTJ06Ndtuu21Gjx5ddBygzDnVBAAAoCJMnDgxO+ywQ9ra2jJ+/PgMHDiw6EhAmbM4AwAAoOy1tramtrY2ra2tGT58uNIM6BAWZwAAAJS9b33rWxk5cmQ22WSTNDQ0ZM011yw6ElABFGcAAACUtZdffjk1NTWZM2dOfv7zn+fwww8vOhJQIZxqAgAAUNZGjBiROXPm5PDDD1eaAR3K4gwAAICy9Ytf/CJHHHFE1lhjjTQ0NGTTTTctOhJQQSzOAAAAKEuzZs3K8OHDkyRXX3210gzocIozAAAAytJFF12UV155JQMHDszQoUOLjgNUIKeaAAAAlJ1HH300O++8c5Zffvk88cQT2XbbbYuOBFQgizMAAADKSktLS2pra1MqlXLWWWcpzYBOozgDAACgrNx8882ZNGlStthii1x66aVFxwEqmFNNAAAAysYLL7yQPn36ZP78+fntb3+bAw88sOhIQAWzOAMAAKAslEqlDB06NPPnz8/xxx+vNAM6ncUZAAAAZeGOO+7ICSeckLXXXjtNTU3ZcMMNi44EVDiLMwAAALq96dOnZ9SoUUmS66+/XmkGdAnFGQAAAN3eeeedlzfffDO77757Tj/99KLjAFXCqSYAAADd2kMPPZQ999wzK664YiZNmpSampqiIwFVwuIMAACAbqu5uTl1dXVJkvPPP19pBnQpxRkAAADd1vXXX5/GxsZsvfXWufDCC4uOA1QZp5oAAAB0S88++2z69euX5ubm/OEPf8g+++xTdCSgylicAQAA0O2USqXU19enubk5p5xyitIMKITFGQAAAN3OD3/4w5x66qlZb7310tTUlHXXXbfoSEAVUpwBAADQrbz11lvp1atXpk2blv/6r//K4MGDi44EVCmnmgAAAHQrY8eOzbRp07LffvvlpJNOKjoOUMUszgAAAOg2Hnjggey///5ZZZVVMnny5Gy55ZZFRwKqmMUZAAAA3cL8+fNTX1+fJLn44ouVZkDhFGcAAAB0C1dddVWee+659OnTJ2effXbRcQCcagIAAFC8p59+Otttt10WLVqUhx9+OLvuumvRkQAszgAAAChWW1tb6urqsmjRotTX1yvNgG7D4gwAAIBCfec730l9fX022mijNDY2Zu211y46EkASxRkAAAAFeu2111JTU5OZM2fmrrvuyjHHHFN0JIB3OdUEAACgMKNHj87MmTNzyCGH5Oijjy46DsA/sDgDAACgEPfee28OOeSQrLbaapkyZUq22GKLoiMB/AOLMwAAALrc3LlzM3To0CTJFVdcoTQDuiXFGQAAAF3u0ksvzYsvvpjtttsuo0aNKjoOQLucagIAANClJkyYkB133DGlUil//etfs8MOOxQdCaBdFmcAAAB0mdbW1tTW1qa1tTUjRoxQmgHdmsUZAAAAXeYb3/hGRo8enU033TQNDQ1ZY401io4E8IEUZwAAAHSJl156Kb17986cOXNyzz335NBDDy06EsCHcqoJAABApyuVShk+fHjmzJmTI488UmkGlAWLMwAAADrd3XffnaOOOiprrLFGGhsbs8kmmxQdCeAjWZwBAADQqWbOnJkRI0YkSa655hqlGVA2FGcAAAB0qnHjxuXVV1/NTjvtlPr6+qLjACw1p5oAAAB0mvHjx2fXXXfNCiuskCeeeCL9+vUrOhLAUrM4AwAAoFO0tLSktrY2pVIpY8eOVZoBZUdxBgAAQKe46aabMnny5PTs2TOXXHJJ0XEAPjanmgAAAHS4559/Pn379s38+fPzu9/9LgcccEDRkQA+NoszAAAAOlSpVMqQIUMyf/78nHjiiUozoGxZnAEAANChbr/99gwaNCjrrLNOmpqassEGGxQdCeATsTgDAACgw0ybNi2jR49Oktxwww1KM6CsKc4AAADoMOeee27eeuut7LnnnjnttNOKjgOwTJxqAgAA0CEefPDB7LXXXllppZUyadKk9OrVq+hIAMvE4gwAAIBl1tzcnNra2iTJBRdcoDQDKoLiDAAAgGV27bXX5plnnsk222yTCy64oOg4AB3CqSYAAADLpKmpKdtuu20WLlyYP/3pT9lrr72KjgTQISzOAAAA+MRKpVLq6+uzcOHCnHbaaUozoKJYnAEAAPCJ/eAHP8jpp5+e9ddfP01NTenRo0fRkQA6jOIMAACAT+TNN99Mr169Mn369Pz4xz/OoEGDio4E0KGcagIAAPCJnHXWWZk+fXoOOOCAnHjiiUXHAehwFmcAAAB8bPfff38OOOCArLLKKnn66afz+c9/vuhIAB3O4gwAAICPZd68eamvr0+SXHrppUozoGIpzgAAAPhYrrzyyjz//PP5whe+kLFjxxYdB6DTONUEAABgqU2ePDkDBgxIa2tr/vd//zc777xz0ZEAOo3FGQAAAEulra0ttbW1WbRoUYYMGaI0AyqexRkAAABL5ZZbbsmwYcOy8cYbp7GxMWuttVbRkQA6leIMAACAj/Tqq6+mpqYms2bNyk9/+tMcddRRRUcC6HRONQEAAPhII0eOzKxZs/KVr3wlRx55ZNFxALqExRkAAAAf6le/+lUOPfTQfPrTn05DQ0M++9nPFh0JoEtYnAEAAPCB5syZk2HDhiVJrrrqKqUZUFUUZwAAAHygiy++OC+99FK23377jBgxoug4AF3KqSYAAADteuKJJzJw4MAkyWOPPZYBAwYUnAiga1mcAQAA8E8WLVqUM888M21tbRk9erTSDKhKFmcAAAD8k5tuuiljx47NZz/72UyZMiWrr7560ZEAupziDAAAgH/w4osvpnfv3pk3b15+/etf55BDDik6EkAhnGoCAADwrlKplGHDhmXevHk55phjlGZAVbM4AwAA4F0//elPc8wxx2SttdZKY2NjNt5446IjARTG4gwAAIAkycyZMzNy5MgkybXXXqs0A6qe4gwAAIAkyQUXXJDXXnstu+66a2pra4uOA1A4p5oAAADkkUceyW677ZYVVlghEyZMSN++fYuOBFA4izMAAIAq19LSktra2pRKpZx77rlKM4AlFGcAAABV7sYbb8zTTz+dLbfcMhdddFHRcQC6DaeaAAAAVey5555L3759s2DBgjzwwAPZb7/9io4E0G1YnAEAAFSpUqmU+vr6LFiwIIMHD1aaAbyPxRkAAECV+vGPf5zBgwenR48eaWpqyvrrr190JIBuxeIMAACgCr3zzjsZM2ZMksXfcaY0A/hnijMAAIAqdM455+Ttt9/O3nvvnVNOOaXoOADdklNNAACAKvOnP/0p++yzT1ZaaaU89dRT2WabbYqOBNAtWZwBAABUkQULFqSuri5JMm7cOKUZwIdQnAEAAFSRa665Js8++2x69eqV8847r+g4AN2aU00AAIAq0djYmG233TYtLS158MEHs8ceexQdCaBbszgDAACoAm1tbamrq0tLS0vOOOMMpRnAUrA4AwAAqALf+973cuaZZ2aDDTZIU1NT1llnnaIjAXR7ijMAAIAK98Ybb6RXr16ZMWNGbr/99pxwwglFRwIoC041AQAAKtyYMWMyY8aMfOlLX8rxxx9fdByAsmFxBgAAUMHuu+++HHTQQVl11VUzZcqU9OzZs+hIAGXD4gwAAKBCzZs3L0OHDk2SXHbZZUozgI9JcQYAAFChLr/88rzwwgvp169fxowZU3QcgLLjVBMAAKACTZo0Kdtvv33a2toyfvz4DBw4sOhIAGXH4gwAAKDCtLa2pra2Nq2trRk2bJjSDOATsjgDAACoMN/+9rczYsSIbLLJJmloaMiaa65ZdCSAsqQ4AwAAqCCvvPJKampqMnv27Nx999054ogjio4EULacagIAAFSQESNGZPbs2TnssMOUZgDLyOIMAACgQtxzzz05/PDDs/rqq6ehoSGbbbZZ0ZEAyprFGQAAQAWYPXt2hg8fniS5+uqrlWYAHUBxBgAAUAEuuuiivPzyy9lxxx0zbNiwouMAVASnmgAAAGXusccey0477ZTll18+jz/+ePr37190JICKYHEGAABQxhYtWpTa2tqUSqWMGTNGaQbQgRRnAAAAZezmm2/OxIkTs/nmm+eyyy4rOg5ARXGqCQAAUKamTp2aPn36ZN68ebn33ntz0EEHFR0JoKJYnAEAAJShUqmUoUOHZt68eTnuuOOUZgCdwOIMAACgDN155505/vjjs/baa6exsTEbbbRR0ZEAKo7FGQAAQJmZPn16Ro0alSS57rrrlGYAnURxBgAAUGbOP//8vPHGG9ltt91yxhlnFB0HoGI51QQAACgjf/nLX7LHHntkxRVXzMSJE9O7d++iIwFULIszAACAMrFw4cLU1dUlSc477zylGUAnU5wBAACUieuvvz4NDQ3ZaqutMm7cuKLjAFQ8p5oAAABl4Nlnn02/fv3S3Nyc3//+99l3332LjgRQ8SzOAAAAurlSqZT6+vo0Nzfnq1/9qtIMoItYnAEAAHRzP/rRj3LKKadk3XXXTVNTU9Zbb72iIwFUBYszAACAbuztt9/O2LFjkyQ33XST0gygCynOAAAAurGxY8fmnXfeyX777ZfBgwcXHQegqjjVBP4/e/cZZFWd6O/+2d1NN1GCIKiIYkRMKOY46AwqgwFFRZCMxKbDXp6q+5+qU/feU/U/996qWbsD0EQRBEQQxZEx54SIOaPIiAFBJOeO674A5kwQJTSsDs+nirJp9l778Q10f+u3V0uSJKmGeumll7juuuvIysrik08+4bTTTos7SZLqFU+cSZIkSVINtGvXLkaOHAnAf/7nfzqaSVIMHM4kSZIkqQb63//7f7N8+XLOOuss/uM//iPuHEmql3yrpiRJkiTVMJ9//jldunShvLycN954gyuuuCLuJEmqlzxxJkmSJEk1SFVVFcOHD6e8vJwRI0Y4mklSjDxxJkmSJEk1yJQpUxgxYgTt2rXjiy++oEWLFnEnSVK95XAmSZIkSTXEmjVr6NSpE5s3b2bevHnceeedcSdJUr3mWzUlSZIkqYbIy8tj8+bN9OjRgzvuuCPuHEmq9zxxJkmSJEk1wNNPP02PHj1o3Lgxn332GSeddFLcSZJU72XEHSBJkiRJdcrKlfDuu/Dee/DBB7BhA5SVQWYmtGoF558PXbvChRfCnnFs+/btjBo1CoD/+q//cjSTpBrCE2eSJEmSdKh27oR586CkBN55Z/+fd9FFMGYM/+uDD/h/i4o4//zzWbp0KRkZnnGQpJrA4UySJEmSDlZlJRQWwn//9+6TZQdpPfD/JBL0eestLrzkkurrkyQdEoczSZIkSToYy5bB4MGwZEn1XfPSS+GBB6BTp+q7piTpoPlTNSVJkiTpQM2ZA126VOtoFsHu63Xpsvv6kqTYOZxJkiRJ0oGYMgXuuQdKS6v1som9H5SWQv/+u19HkhQr36opSZIkSftrzpzdo9mRkEjArFnQr9+ReT1J0r/xxJkkSZIk7Y9ly2DoUL4DCoGbgA5AFtAMOA/4P4DV+3j679h9qmx/fv3fAFEEQ4fufl1JUiw8cSZJkiRJv6WyEq68ku+XLOFE9tyPbI+jgO1A5Z7ftwQeBbr9yyVuAxb/ykvsAjbv+fgJdg9zAFx2Gbz+OqSnH8L/gCTpYHjiTJIkSZJ+S2EhLFny93Hsj8AjwAZ2j107gKeAjsBG4FZgzb9c4rE9n9vXr4F7HncMcOM/PvGtt3a/viTpiPPEmSRJkiT9mp07oX172LCBzcBKdr8t85csA85n9+mx/wv4P/fzJcqB44B1QD6Q+tcHtGoFP/wAjRodWLsk6ZB44kySJEmSfs28ebBhAwDN2fdoBtAJuHTPx+8dwEs8xe7RDGDQLz1gwwaYP/8ArihJqg4OZ5IkSZL0a0pKDujhR+/5b+WvPuqfzdzz3y7AudXUIUk6dA5nkiRJkrQvK1fCO+/s98MrgDf3fHz2fj5nPfDkno8H/toDly7d3SNJOmIcziRJkiRpX95994AePoHdN/pP4zdGsH/wEFAGNAD6/daD3zuQN4BKkg6Vw5kkSZIk7csBDFUfA/9rz8fZQOf9fN7et2neCLSpxh5J0qFzOJMkSZKkffngg/162GrgVmAn0BX4//bz8p/xPz9EYL9OqL3//n5eWZJUHRzOJEmSJGlf9vw0zV99CNAd+AY4jd33K2u4n5ffe9rsaKDn/jxh48b9vLIkqTo4nEmSJEnSvpSV/eofbwauBz4FOgAvAG3389KVwOw9H98NZO7Pk0pL9/PqkqTq4HAmSZIkSfuSue85azvQA3gXaMfu0azDAVz6OXa/xRP2/wcJkJV1AK8gSTpUDmeSJEmStC+tWv3ip3cCNwGL2f02yxfY/TbNA7H3bZpnARfu75NatjzAV5EkHQqHM0mSJEnal/PP/7dPlQG3AS8DLdh9cuysA7zsZuAvez7e79NmABdccICvJEk6FA5nkiRJkrQvXbv+028rgb7AM0Az4GngYKasecAuIB245xB6JEmHV0bcAZIkSZJUU1Wefz7pQAQkgDeBR/f8WTlw66889wTgnX382d63aXYHjj2QIIczSTqiPHEmSZIkSf9i+/btTJgwgTOuv56l7B7NAKr+4TG7gJ9+5dfP+7j2cnbfGw0O8G2aF18MJ510IM+QJB0iT5xJkiRJ0h6rV69m/PjxTJw4kY0bNwLwSOvWXLxuHQC/Y/fps0Nx2sFeY/ToQ3xlSdKBSkRRdKh/70uSJElSrfbJJ5+QSqV46KGHKCsrA+DSSy8lCAJ63XAD6SeeCBs2xBfYqhWsWgUNG8bXIEn1kG/VlCRJklQvRVHEc889x/XXX8+5557LjBkzKC8v57bbbuPNN9/krbfeonfv3qQ3bQp/+lO8sX/6k6OZJMXAE2eSJEmS6pXS0lLmzp1LKpXik08+AaBx48YMGTKEvLw8TjnllH9/UmUlXHklLFlyhGuByy6D11+H9PQj/9qSVM85nEmSJEmqFzZs2MCkSZMYN24ca9asAeDYY49l7NixjBgxglatWv36BZYtgy5doLT0CNTukZUFH30EZ5xx5F5TkvR3DmeSJEmS6rQVK1ZQUFDAAw88wI4dOwA455xzCIKAPn36kJWVtf8XmzMH+veHI/FtVCIBs2ZBv36H/7UkSb/In6opSZIkqc6JoojFixcThiGPP/44e88LXH/99QRBwO9//3sSicSBX7hfP9i+HUaOPLzjWSIBkyY5mklSzDxxJkmSJKnOqKioYOHChYRhyNtvvw1AZmYm/fr1I5lMcvbZZ1fPC82ZA0OHHp63bTZsCNOmOZpJUg3gcCZJkiSp1tu6dSvTp0+nsLCQlStXAtCqVStGjRrFmDFjOPbYY6v/RZctg8GDq/cHBlx2GTzwgPc0k6QawuFMkiRJUq21atUqiouLmTx5Mps3bwbg1FNPJT8/n4EDB9KkSZPDG1BZCYWF8N//DRs2HPx1WrWCP/0J8vL86ZmSVIM4nEmSJEmqdT788EPCMOThhx+moqICgCuvvJIgCLjppptIP9Lj086dMH8+lJTA0qX7/7yLL4YxY+COO6BRo8PXJ0k6KA5nkiRJkmqFqqoqnnnmGcIw5KWXXgIgLS2N22+/nSAIuOSSS2Iu3GPlSnjvvd2/3n8fNm7cfS+0rCxo2RIuuAC6dt3966ST4q6VJP0KhzNJkiRJNdquXbuYPXs2qVSKL774AoCmTZsydOhQcnNz6dixY8yFkqS6KiPuAEmSJEn6JevWraOkpIQJEyawdu1aAI4//nhycnIYPnw4LVq0iLlQklTXOZxJkiRJqlG++uorCgoKmDlzJjt37gSgS5cuBEHAnXfeSWZmZsyFkqT6wuFMkiRJUuyiKOK1114jlUqxaNEi9t5RpkePHgRBQLdu3UgkEjFXSpLqG4czSZIkSbEpLy9nwYIFpFIp3n33XQCysrLo378/+fn5dO7cOeZCSVJ95nAmSZIk6YjbsmUL06ZNo6ioiO+++w6A1q1bM3r0aEaPHk3btm1jLpQkyeFMkiRJ0hH03XffUVxczNSpU9myZQsAp59+OslkkgEDBtCoUaOYCyVJ+h8OZ5IkSZIOu/fee48wDJk/fz6VlZUAXHPNNQRBwB//+EfS0tJiLpQk6d8lor133ZQkSZKkalRVVcWTTz5JGIa8+uqrAKSnp3PnnXcSBAFdu3aNuVCSpF/niTNJkiRJ1Wrnzp08+OCDFBQU8OWXXwLQrFkzhg8fTk5ODh06dIi5UJKk/eNwJkmSJKlarF27lgkTJlBSUsK6desA6NChA7m5uQwbNoyjjjoq5kJJkg6Mw5kkSZKkQ/LFF1+QSqWYNWsWpaWlAFx44YUEQUDv3r3JyPDbDklS7eS/YJIkSZIOWBRFvPzyy4RhyFNPPQVAIpHg5ptvJggCrrrqKhKJRMyVkiQdGoczSZIkSfutvLycefPmEYYhH374IQANGzZk0KBB5Ofnc/rpp8dcKElS9XE4kyRJkvSbNm3axJQpUyguLmbVqlUAHHPMMWRnZzNq1Chat24dc6EkSdXP4UySJEnSPq1cuZLCwkLuv/9+tm3bBkDnzp1JJpP069ePhg0bxlwoSdLh43AmSZIk6d+8/fbbhGHIo48+SlVVFQDXXXcdQRBw/fXXk5aWFnOhJEmHXyKKoijuCEmSJEnxq6ys5IknniAMQ958800AMjIy6NOnD0EQ0KVLl5gLJUk6sjxxJkmSJNVz27dvZ8aMGRQWFvL1118D0Lx5c0aMGMHYsWNp3759zIWSJMXD4UySJEmqp1avXs348eOZNGkSGzZsAKBjx47k5eUxZMgQmjZtGnOhJEnxcjiTJEmS6plPP/2UMAx56KGHKCsrA+CSSy7hvvvu49ZbbyUjw28TJEkChzNJkiSpXoiiiBdeeIEwDHn22WcBSCQS9OrViyAIuPzyy0kkEjFXSpJUszicSZIkSXVYWVkZc+fOJZVK8fHHHwPQuHFjBg8eTF5eHqeeemrMhZIk1VwOZ5IkSVIdtGHDBiZPnsy4ceNYvXo1AO3atWPs2LGMHDmSVq1axVwoSVLN53AmSZIk1SErVqygsLCQ6dOns2PHDgDOPvtsgiDg7rvvJisrK+ZCSZJqD4czSZIkqQ5YvHgxYRiycOFCoigCoHv37gRBwB/+8AfvXyZJ0kFwOJMkSZJqqcrKShYuXEgYhixZsgSABg0a0K9fP5LJJOecc07MhZIk1W4OZ5IkSVIts23bNqZPn05hYSHffPMNAC1btmTUqFFkZ2dz7LHHxlwoSVLd4HAmSZIk1RKrVq1i3LhxTJ48mU2bNgFwyimnkJ+fz6BBg2jSpEnMhZIk1S0OZ5IkSVIN99FHHxGGIXPnzqWiogKAK664giAIuPnmm0lPT4+5UJKkuikR7b1zqCRJkqQaI4oinnnmGcIw5MUXXwQgLS2N22+/nSAIuOSSS2IulCSp7vPEmSRJklSD7Nq1izlz5pBKpfj8888BaNKkCcOGDSM3N5eOHTvGXChJUv3hcCZJkiTVAOvWrWPixImMHz+etWvXAnD88ceTk5PD8OHDadGiRcyFkiTVPw5nkiRJUoy++uorCgoKmDlzJjt37gTgvPPOIwgC7rrrLjIzM2MulCSp/nI4kyRJko6wKIp4/fXXCcOQRYsWsfe2wz169CAIArp160YikYi5UpIkOZxJkiRJR0hFRQULFiwgDEPeffddALKysujfvz/5+fl07tw55kJJkvSPHM4kSZKkw2zLli1MmzaNoqIivvvuOwCOPvpoxowZw+jRo2nbtm3MhZIk6Zc4nEmSJEmHyffff09RURFTp05ly5YtAJx++unk5+czYMAAGjduHHOhJEn6NQ5nkiRJUjV77733CMOQ+fPnU1lZCcDVV19NEAT07NmTtLS0mAslSdL+SER770QqSZIk6aBVVVXx1FNPEYYhr7zyCgDp6enccccdBEHAhRdeGG+gJEk6YJ44kyRJkg7Bzp07mTVrFqlUii+//BKAZs2ace+995Kbm0uHDh1iLpQkSQfL4UySJEk6CGvXrmXChAmUlJSwbt06AE444QRyc3MZNmwYzZs3j7lQkiQdKoczSZIk6QAsW7aMVCrFgw8+SGlpKQBdu3YlCAJ69+5NgwYNYi6UJEnVxeFMkiRJ+g1RFPHKK68QhiFPPvnk3z9/0003EQQBV199NYlEIsZCSZJ0ODicSZIkSftQXl7O/PnzCcOQDz74AICGDRsycOBA8vPzOeOMM2IulCRJh5PDmSRJkvQvNm3axNSpUykuLuaHH34AoE2bNmRnZzNq1CjatGkTc6EkSToSHMUoowQAACAASURBVM4kSZKkPVauXElRURHTpk1j27ZtAJx55pkkk0nuueceGjZsGHOhJEk6khzOJEmSVO8tXbqUMAxZsGABVVVVAFx77bUEQcANN9xAWlpazIWSJCkOiSiKorgjJEmSpCOtsrKSRYsWEYYhb7zxBgAZGRn06dOHZDLJ+eefH3OhJEmKmyfOJEmSVK/s2LGDGTNmUFBQwNdffw1A8+bNGTFiBGPHjqV9+/YxF0qSpJrC4UySJEn1wpo1axg/fjwTJ05kw4YNAJx00knk5eUxZMgQmjVrFnOhJEmqaRzOJEmSVKd9+umnpFIp5syZQ1lZGQCXXHIJQRDQq1cvMjL8kliSJP0yv0qQJElSnRNFES+88AJhGPLss88CkEgk6NWrF0EQcPnll5NIJGKulCRJNZ3DmSRJkuqMsrIy5s6dSyqV4uOPPwagUaNGDBkyhLy8PE499dSYCyVJUm3icCZJkqRab+PGjUyaNIlx48axevVqANq1a0d2djYjR47k6KOPjrlQkiTVRg5nkiRJqrVWrFhBYWEh06dPZ8eOHQCcffbZJJNJ+vbtS1ZWVsyFkiSpNnM4kyRJUq2zePFiwjDk8ccfp6qqCoDu3buTTCbp3r279y+TJEnVIhFFURR3hCRJkvRbKisrWbhwIWEYsmTJEgAaNGhA3759SSaTnHvuuTEXSpKkusYTZ5IkSarRtm3bxgMPPEBBQQHffPMNAC1btmTkyJFkZ2dz3HHHxVwoSZLqKoczSZIk1Ug//vgj48aNY9KkSWzatAmAk08+mfz8fAYPHkyTJk1iLpQkSXWdw5kkSZJqlI8++ohUKsXcuXMpLy8H4PLLLycIAm655RbS09NjLpQkSfWF9ziTJElS7KIo4tlnnyUMQ1544QUA0tLSuO222wiCgEsvvTTmQkmSVB954kySJEmxKS0tZc6cOaRSKT777DMAmjRpwtChQ8nNzeXkk0+OuVCSJNVnDmeSJEk64tavX8/EiRMZP348P/30EwDHHXccOTk5DB8+nJYtW8ZcKEmS5HAmSZKkI2j58uUUFBQwY8YMdu7cCcB5551HEATcddddZGZmxlwoSZL0PxzOJEmSdFhFUcQbb7xBGIY88cQT7L3F7o033kgQBFx77bUkEomYKyVJkv6dw5kkSZIOi4qKCh599FHCMOSdd94BIDMzk/79+5Ofn89ZZ50Vc6EkSdKvcziTJElStdq6dSvTpk2jqKiIb7/9FoCjjz6a0aNHM2bMGNq2bRtzoSRJ0v5xOJMkSVK1+P777ykuLmbKlCls2bIFgNNOO41kMsmAAQNo3LhxzIWSJEkHxuFMkiRJh+T9998nDEPmz59PRUUFAFdffTVBENCzZ0/S0tJiLpQkSTo4iWjv3VklSZKk/VRVVcVTTz1FGIa88sorAKSnp9O7d2+CIOCiiy6KN1CSJKkaeOJMkiRJ+23nzp3MmjWLgoICli1bBkCzZs249957ycnJ4cQTT4y5UJIkqfo4nEmSJOk3rV27lpKSEkpKSvj5558BOOGEE8jNzWXYsGE0b9485kJJkqTq53AmSZKkfVq2bBmpVIoHH3yQ0tJSAC644ALuu+8+evfuTYMGDWIulCRJOnwcziRJkvRPoijilVdeIQxDnnzyyb9/vmfPngRBwDXXXEMikYixUJIk6chwOJMkSRIA5eXlPPLII4RhyPvvvw9Aw4YNGTBgAPn5+XTq1CnmQkmSpCPL4UySJKme27x5M1OnTqWoqIgffvgBgDZt2jBmzBhGjx5NmzZtYi6UJEmKh8OZJElSPfXtt99SVFTEtGnT2Lp1KwCdOnUimUxyzz330KhRo5gLJUmS4uVwJkmSVM8sXbqUMAx59NFHqaysBKBbt24EQcCNN95IWlpazIWSJEk1QyKKoijuCEmSJB1eVVVVLFq0iDAMef311wHIyMjgrrvuIplMcsEFF8RcKEmSVPN44kySJKkO27FjBzNnzqSgoIDly5cD0Lx5c4YPH05OTg7t27ePuVCSJKnmcjiTJEmqg9asWcOECROYOHEi69evB+DEE08kLy+PoUOH0qxZs5gLJUmSaj6HM0mSpDrks88+I5VKMXv2bMrKygC4+OKLCYKA2267jYwMv/yTJEnaX37lJEmSVMtFUcSLL75IGIY888wzACQSCW699VaCIOCKK64gkUjEXClJklT7OJxJkiTVUmVlZTz88MOkUik++ugjABo1asTgwYPJy8vjtNNOi7lQkiSpdnM4kyRJqmU2btzI5MmTGTduHD/++CMAbdu2ZezYsYwcOZKjjz465kJJkqS6weFMkiSplvjb3/5GYWEh06dPZ/v27QCcddZZBEFA3759ycrKirlQkiSpbnE4kyRJquHeeustwjBk4cKFVFVVAfCHP/yBIAjo3r279y+TJEk6TBJRFEVxR0iSJOmfVVZW8vjjjxOGIW+99RYADRo0oG/fviSTSc4999yYCyVJkuo+T5xJkiTVINu2beOBBx6gsLCQv/3tbwC0bNmSkSNHkp2dzXHHHRdzoSRJUv3hcCZJklQD/Pjjj4wbN47JkyezceNGAE4++WTy8/MZNGgQTZs2jblQkiSp/nE4kyRJitHHH39MGIbMnTuX8vJyAC677DKCIODWW28lPT095kJJkqT6y3ucSZIkHWFRFPHcc88RhiHPP/88AGlpafTq1YsgCLjssstiLpQkSRJ44kySJOmIKS0tZc6cOaRSKT777DMAmjRpwpAhQ8jLy+Pkk0+OuVCSJEn/yOFMkiTpMFu/fj0TJ05k/Pjx/PTTTwAcd9xxjB07lhEjRtCyZcuYCyVJkvRLHM4kSZIOk+XLl1NQUMCMGTPYuXMnAOeeey5BENCnTx8yMzNjLpQkSdKvcTiTJEmqRlEU8eabbxKGIX/5y1/YezvZG264gSAIuO6660gkEjFXSpIkaX84nEmSJFWDiooKHnvsMcIwZOnSpQBkZmZyzz33kEwmOeuss2IulCRJ0oFyOJMkSToEW7du5f7776ewsJBvv/0WgFatWjF69GjGjBlDu3btYi6UJEnSwXI4kyRJOgg//PADxcXFTJkyhc2bNwNw2mmnkZ+fz8CBA2ncuHHMhZIkSTpUDmeSJEkH4IMPPiAMQ+bNm0dFRQUAV111FUEQcNNNN5GWlhZzoSRJkqpLItp7x1pJkiT9oqqqKp5++mnCMOTll18GID09nd69exMEARdddFHMhZIkSTocPHEmSZK0D7t27WLWrFmkUimWLVsGQNOmTbn33nvJzc3lxBNPjLlQkiRJh5PDmSRJ0r/4+eefKSkpYcKECfz8888AtG/fntzcXO69916aN28ec6EkSZKOBIczSZKkPb788ktSqRQPPvggu3btAuCCCy4gCALuuOMOGjRoEHOhJEmSjiSHM0mSVK9FUcSrr75KGIb89a9//fvne/bsSRAEXHPNNSQSiRgLJUmSFBeHM0mSVC+Vl5fzyCOPEIYh77//PgBZWVkMHDiQ/Px8OnXqFHOhJEmS4uZwJkmS6pXNmzczdepUiouL+f777wFo3bo1Y8aMYfTo0RxzzDExF0qSJKmmcDiTJEn1wrfffktRURHTpk1j69atAHTq1IlkMsk999xDo0aNYi6UJElSTeNwJkmS6rR33nmHMAxZsGABlZWVAHTr1o0gCLjxxhtJS0uLuVCSJEk1VSKKoijuCEmSpOpUVVXFokWLCMOQ119/HYCMjAzuuusukskkF1xwQcyFkiRJqg08cSZJkuqMHTt2MHPmTAoKCli+fDkARx11FCNGjGDs2LGccMIJMRdKkiSpNnE4kyRJtd5PP/3EhAkTKCkpYf369QCceOKJ5ObmMnToUI466qiYCyVJklQbOZxJkqRa6/PPPyeVSjF79mxKS0sBuOiiiwiCgNtvv52MDL/UkSRJ0sHzq0lJklSrRFHESy+9RBiGPP300wAkEgluueUWgiDgyiuvJJFIxFwpSZKkusDhTJIk1QplZWU8/PDDpFIpPvroIwAaNWrEoEGDyM/P57TTTou5UJIkSXWNw5kkSarRNm7cyJQpUyguLubHH38EoG3btmRnZzNy5Ehat24dc6EkSZLqKoczSZJUI33zzTcUFhZy//33s337dgDOOusskskkffv2pWHDhjEXSpIkqa5zOJMkSTXKkiVLCMOQxx57jKqqKgB+//vfEwQB119/vfcvkyRJ0hGTiKIoijtCkiTVb5WVlfzlL38hDEMWL14MQIMGDbj77rtJJpOcd955MRdKkiSpPvLEmSRJis327dt54IEHKCwsZMWKFQC0aNGCkSNHkp2dzfHHHx9zoSRJkuozhzNJknTErV69mnHjxjFp0iQ2btwIQMeOHcnPz2fw4ME0bdo05kJJkiTJ4UySJB1BH3/8MalUioceeojy8nIALrvsMoIg4NZbbyU9PT3mQkmSJOl/eI8zSZJ0WEVRxHPPPUcYhjz//PMApKWl0atXL4Ig4LLLLou5UJIkSfplnjiTJEmHRWlpKQ899BCpVIpPP/0UgCZNmjBkyBByc3M55ZRTYi6UJEmSfp3DmSRJqlbr169n0qRJjB8/njVr1gBw7LHHkpOTw4gRI2jZsmXMhZIkSdL+cTiTJEnV4uuvv6agoIAZM2awY8cOAM4991yCIKBPnz5kZmbGXChJkiQdGIczSZJ00KIo4s033yQMQ/7yl7+w99apN9xwA0EQcN1115FIJGKulCRJkg6Ow5kkSTpgFRUVPPbYY4RhyNKlSwHIzMykX79+JJNJzj777JgLJUmSpEPncCZJkvbb1q1buf/++ykqKmLlypUAtGrVilGjRpGdnU27du3iDZQkSZKqkcOZJEn6TT/88APFxcVMmTKFzZs3A3DqqaeSn5/PwIEDadKkScyFkiRJUvVzOJMkSfv0wQcfEIYh8+bNo6KiAoArr7ySIAi46aabSE9Pj7lQkiRJOnwS0d67+EqSJAFVVVU8/fTThGHIyy+/DEBaWhq9e/cmCAIuvvjimAslSZKkI8MTZ5IkCYBdu3Yxe/ZsUqkUX3zxBQBNmzZl2LBh5ObmctJJJ8UbKEmSJB1hDmeSJNVzP//8MxMnTmTChAmsXbsWgPbt25OTk8O9995LixYtYi6UJEmS4uFwJklSPfXll19SUFDAzJkz2bVrFwDnn38+QRBw55130qBBg5gLJUmSpHg5nEmSVI9EUcRrr71GGIYsWrTo75//4x//SBAE/O53vyORSMRYKEmSJNUcDmeSJNUD5eXlLFiwgDAMee+99wDIyspiwIAB5Ofnc+aZZ8ZcKEmSJNU8DmeSJNVhmzdvZtq0aRQVFfH9998D0Lp1a8aMGcPo0aM55phjYi6UJEmSai6HM0mS6qDvvvuOoqIipk6dytatWwE444wzSCaT9O/fn0aNGsVcKEmSJNV8DmeSJNUh7777LmEY8sgjj1BZWQnA7373O4IgoEePHqSlpcVcKEmSJNUeiSiKorgjJEnSwauqquKvf/0rYRjy2muvAZCens5dd91FMpmka9euMRdKkiRJtZMnziRJqqV27NjBgw8+SEFBAV999RUARx11FMOHDycnJ4cTTjgh5kJJkiSpdnM4kySplvnpp5+YMGECJSUlrF+/HoAOHTqQl5fH0KFDOeqoo2IulCRJkuoGhzNJkmqJzz//nFQqxezZsyktLQXgwgsvJAgCevfuTUaG/6xLkiRJ1cmvsCVJqsGiKOKll14iDEOefvppABKJBLfccgvJZJKrrrqKRCIRc6UkSZJUNzmcSZJUA5WVlTFv3jxSqRQffvghAI0aNWLQoEHk5eVx+umnx1woSZIk1X0OZ5Ik1SCbNm1i8uTJjBs3jlWrVgHQtm1bsrOzGTlyJK1bt465UJIkSao/HM4kSaoBvvnmGwoLC7n//vvZvn07AJ07dyYIAvr27UvDhg1jLpQkSZLqH4czSZJi9Pbbb/PnP/+Zxx57jKqqKgCuu+46giDghhtu8P5lkiRJUowSURRFcUdIklSfVFZW8sQTTxCGIW+++SYAGRkZ3H333SSTSbp06RJzoSRJkiTwxJkkSUfM9u3bmTFjBgUFBaxYsQKAFi1aMGLECMaOHcvxxx8fc6EkSZKkf+RwJknSYbZ69WrGjx/PxIkT2bhxIwAdO3YkLy+PIUOG0LRp05gLJUmSJP0ShzNJkg6TTz75hFQqxZw5cygvLwfg0ksvJQgCevXqRXp6esyFkiRJkn6Nw5kkSdUoiiKef/55wjDkueeeAyCRSHDbbbcRBAGXX355zIWSJEmS9pfDmSRJ1aC0tJS5c+eSSqX45JNPAGjcuDFDhgwhLy+PU045JeZCSZIkSQfK4UySpEOwYcMGJk2axLhx41izZg0Axx57LGPHjmXEiBG0atUq5kJJkiRJB8vhTJKkg7BixQoKCgp44IEH2LFjBwDnnHMOQRDQp08fsrKyYi6UJEmSdKgcziRJ2k9RFLF48WLCMOTxxx8niiIArr/+eoIg4Pe//z2JRCLmSkmSJEnVxeFMkqTfUFFRwcKFCwnDkLfffhuAzMxM+vXrRzKZ5Oyzz465UJIkSdLh4HAmSdI+bN26lenTp1NYWMjKlSsBaNWqFaNGjSI7O5t27drFGyhJkiTpsHI4kyTpX6xatYri4mImT57M5s2bATj11FPJz89n4MCBNGnSJOZCSZIkSUeCw5kkSXt8+OGHhGHIww8/TEVFBQBXXnklQRBw0003kZ6eHnOhJEmSpCMpEe29s7EkSfVQVVUVzzzzDGEY8tJLLwGQlpZG7969CYKAiy++OOZCSZIkSXHxxJkkqV7atWsXs2fPJpVK8cUXXwDQtGlThg0bRm5uLieddFK8gZIkSZJi53AmSapX1q1bR0lJCRMmTGDt2rUAHH/88eTk5DB8+HBatGgRc6EkSZKkmsLhTJJUL3z55ZcUFBQwc+ZMdu3aBUCXLl0IgoA777yTzMzMmAslSZIk1TQOZ5KkOiuKIl577TVSqRSLFi1i7209e/ToQRAEdOvWjUQiEXOlJEmSpJrK4UySVOeUl5ezYMECUqkU7777LgBZWVn079+fZDLJmWeeGXOhJEmSpNrA4UySVGds2bKFqVOnUlxczHfffQdA69atGT16NKNHj6Zt27YxF0qSJEmqTRzOJEm13nfffUdxcTFTpkxh69atAJx++ukkk0kGDBhAo0aNYi6UJEmSVBs5nEmSaq333nuPMAyZP38+lZWVAFxzzTUEQcAf//hH0tLSYi6UJEmSVJslor13SpYkqRaoqqriySefJAxDXn31VQDS09O58847CYKArl27xlwoSZIkqa7wxJkkqVbYuXMnDz74IAUFBXz55ZcANGvWjOHDh5OTk0OHDh1iLpQkSZJU1zicSZJqtLVr1zJhwgRKSkpYt24dAB06dCA3N5dhw4Zx1FFHxVwoSZIkqa5yOJMk1UhffPEFqVSKWbNmUVpaCsCFF15IEAT07t2bjAz/CZMkSZJ0ePldhySpxoiiiJdffpkwDHnqqacASCQS3HzzzQRBwFVXXUUikYi5UpIkSVJ94XAmSYpdeXk58+bNIwxDPvzwQwAaNmzIoEGDyM/P5/TTT4+5UJIkSVJ95HAmSYrNpk2bmDJlCsXFxaxatQqAY445huzsbEaNGkXr1q1jLpQkSZJUnzmcSZKOuJUrV1JYWMj999/Ptm3bAOjcuTPJZJJ+/frRsGHDmAslSZIkyeFMknQEvf3224RhyKOPPkpVVRUA1113HUEQcP3115OWlhZzoSRJkiT9j0QURVHcEZKkuquyspInnniCMAx58803AcjIyODuu+8mmUzSpUuXmAslSZIk6Zd54kySdFhs376dGTNmUFhYyNdffw1A8+bNGTFiBGPHjqV9+/YxF0qSJEnSr3M4kyRVq9WrVzN+/HgmTZrEhg0bAOjYsSN5eXkMGTKEpk2bxlwoSZIkSfvH4UySVC0+/fRTwjDkoYceoqysDIBLL72UIAi49dZbycjwnxxJkiRJtYvfxUiSDloURTz//POEYchzzz0HQCKRoFevXtx3331cfvnlMRdKkiRJ0sFzOJMkHbCysjLmzp1LGIZ88sknADRu3JjBgweTl5fHqaeeGnOhJEmSJB06hzNJ0n7bsGEDkydPZty4caxevRqAdu3aMXbsWEaOHEmrVq1iLpQkSZKk6uNwJkn6TStWrKCwsJDp06ezY8cOAM455xySySR33303WVlZMRdKkiRJUvVzOJMk7dPixYsJw5CFCxcSRREA3bt3JwgC/vCHP5BIJGIulCRJkqTDx+FMkvRPKisrWbhwIWEYsmTJEgAaNGhAv379SCaTnHPOOTEXSpIkSdKR4XAmSQJg27ZtTJ8+ncLCQr755hsAWrZsyahRo8jOzubYY4+NuVCSJEmSjiyHM0mq51atWsW4ceOYPHkymzZtAuCUU04hPz+fQYMG0aRJk5gLJUmSJCkeDmeSVE999NFHhGHI3LlzqaioAOCKK64gCAJuvvlm0tPTYy6UJEmSpHglor13e5Yk1XlRFPHMM88QhiEvvvgiAGlpadx+++0EQcAll1wSc6EkSZIk1RyeOJOkemDXrl3MmTOHVCrF559/DkCTJk0YNmwYubm5dOzYMeZCSZIkSap5HM4kqQ5bt24dEydOZPz48axduxaA448/npycHIYPH06LFi1iLpQkSZKkmsvhTJLqoK+++oqCggJmzpzJzp07AejSpQtBEHDnnXeSmZkZc6EkSZIk1XwOZ5JUR0RRxOuvv04YhixatIi9t7Ds0aMHQRDQrVs3EolEzJWSJEmSVHs4nElSLVdRUcGCBQsIw5B3330XgKysLPr3709+fj6dO3eOuVCSJEmSaieHM0mqpbZs2cK0adMoKiriu+++A6B169aMHj2a0aNH07Zt25gLJUmSJKl2cziTpFrm+++/p6ioiKlTp7JlyxYATj/9dJLJJAMGDKBRo0YxF0qSJElS3eBwJkm1xHvvvUcYhsyfP5/KykoArr76aoIgoGfPnqSlpcVcKEmSJEl1SyLae/doSVKNU1VVxVNPPcWf//xnXn31VQDS09O54447CIKACy+8MOZCSZIkSaq7PHEmSTXQzp07mTVrFqlUii+//BKAZs2ace+995Kbm0uHDh1iLpQkSZKkus/hTJJqkLVr1zJhwgRKSkpYt24dACeccAK5ubkMGzaM5s2bx1woSZIkSfWHw5kk1QBffPEFqVSKWbNmUVpaCkDXrl0JgoDevXvToEGDmAslSZIkqf5xOJOkmERRxCuvvEIYhjz55JN///xNN91EEARcffXVJBKJGAslSZIkqX5zOJOkI6y8vJz58+cThiEffPABAA0bNmTgwIHk5+dzxhlnxFwoSZIkSQKHM0k6YjZt2sTUqVMpLi7mhx9+AKBNmzZkZ2czatQo2rRpE3OhJEmSJOkfOZxJ0mG2cuVKioqKmDZtGtu2bQPgzDPPJJlMcs8999CwYcOYCyVJkiRJv8ThTJIOk6VLlxKGIQsWLKCqqgqAa6+9liAIuOGGG0hLS4u5UJIkSZL0axJRFEVxR0hSXVFZWcmiRYsIw5A33ngDgIyMDPr06UMymeT888+PuVCSJEmStL88cSZJ1WDHjh3MmDGDgoICvv76awCaN2/OiBEjGDt2LO3bt4+5UJIkSZJ0oBzOJOkQrFmzhvHjxzNx4kQ2bNgAwEknnUReXh5DhgyhWbNmMRdKkiRJkg6Ww5kkHYRPP/2UVCrFnDlzKCsrA+CSSy4hCAJ69epFRoZ/vUqSJElSbed3dpK0n6Io4oUXXiAMQ5599lkAEokEvXr1IggCLr/8chKJRMyVkiRJkqTq4nAmSb+hrKyMuXPnkkql+PjjjwFo3LgxgwcPJi8vj1NPPTXmQkmSJEnS4eBwJkn7sGHDBiZPnsy4ceNYvXo1AO3atWPs2LGMHDmSVq1axVwoSZIkSTqcHM4k6V+sWLGCwsJCpk+fzo4dOwA4++yzSSaT9O3bl6ysrJgLJUmSJElHgsOZJO2xePFiwjDk8ccfp6qqCoDu3buTTCbp3r279y+TJEmSpHomEUVRFHeEJMWlsrKShQsXEoYhS5YsAaBBgwb069ePZDLJOeecE3OhJEmSJCkunjiTVC9t27aN6dOnU1hYyDfffANAy5YtGTlyJNnZ2Rx33HExF0qSJEmS4uZwJqle+fHHHxk3bhyTJk1i06ZNAJx88snk5+czePBgmjRpEnOhJEmSJKmmcDiTVC989NFHpFIp5s6dS3l5OQCXX345QRBwyy23kJ6eHnOhJEmSJKmm8R5nkuqsKIp49tlnCcOQF154AYC0tDRuu+02giDg0ksvjblQkiRJklSTeeJMUp1TWlrKnDlzSKVSfPbZZwA0adKEoUOHkpeXR8eOHWMulCRJkiTVBg5nkuqM9evXM3HiRMaPH89PP/0EwHHHHUdOTg7Dhw+nZcuWMRdKkiRJkmoThzNJtd7y5cspKChgxowZ7Ny5E4DzzjuPIAi46667yMzMjLlQkiRJklQbOZxJqpWiKOKNN94gDEOeeOIJ9t6u8cYbbyQIAq699loSiUTMlZIkSZKk2szhTFKtUlFRwaOPPkoYhrzzzjsAZGZm0r9/f5LJJJ07d465UJIkSZJUVzicSaoVtm7dyrRp0ygqKuLbb78F4Oijj2b06NGMGTOGtm3bxlwoSZIkSaprHM4k1Wjff/89xcXFTJkyhS1btgBw2mmnkUwmGTBgAI0bN465UJIkSZJUVzmcSaqR3n//fcIwZP78+VRUVABw9dVXEwQBPXv2JC0tLeZCSZIkSVJdl4j23lFbkmJWVVXFU089RRiGvPLKKwCkp6dzxx13EAQBF154YbyBkiRJkqR6xRNnkmK3c+dOZs2aRUFBAcuWLQOgWbNm3HvvveTk5HDiiSfGXChJkiRJqo8cziTFZu3atZSUlFBSUsLPP/8MeNofrQAAEihJREFUwAknnEBubi7Dhg2jefPmMRdKkiRJkuozhzNJR9yyZctIpVI8+OCDlJaWAtC1a1eCIKB37940aNAg5kJJkiRJkhzOJB0hURTxyiuvEIYhTz755N8/37NnT+677z6uvvpqEolEjIWSJEmSJP0zhzNJh1V5eTnz588nlUrx/vvvA9CwYUMGDBhAfn4+nTp1irlQkiRJkqRf5nAm6bDYvHkzU6ZMobi4mB9++AGANm3aMGbMGEaPHk2bNm1iLpQkSZIk6dc5nEmqVt9++y1FRUVMmzaNrVu3AtCpUyeSyST33HMPjRo1irlQkiRJkqT943AmqVosXbqUMAx59NFHqaysBKBbt24EQcCNN95IWlpazIWSJEmSJB2YRBRFUdwRkmqnyspKFi1aRBiGvPHGGwBkZGRw1113kUwmueCCC2IulCRJkiTp4HniTNIB27FjBzNnzqSgoIDly5cD0Lx5c4YPH05OTg7t27ePuVCSJEmSpEPncCZpv61Zs4YJEyYwceJE1q9fD8CJJ55IXl4eQ4cOpVmzZjEXSpIkSZJUfRzOJP2mzz77jFQqxezZsykrKwPg4osvJggCbrvtNjIy/KtEkiRJklT3+N2upF8URREvvvgiYRj+/+3de4yV9Z3H8c8BuQwqCtRqia5IQsRivGAx0mqMta11V1dcao1IqpSqtEhh5jTZrP/s/tXspj0wgqKoFNFitXa1rm61u66mSwUiIpUsGxK3imuLS4xOqCLXYfaPGRTpj9swM4fL65VMzjPP9TsJ/PPO8zwnzz33XJKkUqlk3LhxqVar+dKXvpRKpVLnKQEAAKD7CGfAp2zdujWPPvpoarVaVq1alSRpaGjIpEmTMmPGjIwYMaLOEwIAAEDPEM6AJElLS0vmzZuXOXPmZN26dUmSk08+OdOmTcuUKVMyZMiQOk8IAAAAPUs4g6PcG2+8kebm5vzkJz/Jxo0bkyRnn312mpqaMmHChPTr16/OEwIAAEB9CGdwlFq6dGlqtVqefPLJ7NixI0ny1a9+NdVqNV/72te8vwwAAICjXqWtra2t3kMAPaO1tTW//OUvU6vVsnTp0iRJnz59MmHChDQ1NeWcc86p84QAAABw6HDHGRwFPvzwwyxYsCDNzc154403kiSDBg3KlClTcvvtt2fo0KF1nhAAAAAOPcIZHMHWrVuXOXPmZN68eWlpaUmSDB8+PI2Njbn55ptz3HHH1XlCAAAAOHQJZ3AEWrVqVWq1Wn72s59l27ZtSZIvfvGLqVarueaaa9K7d+86TwgAAACHPu84gyNEW1tbfv3rX6dWq+X5559PkvTq1SvXXnttqtVqxo4dW+cJAQAA4PDijjM4zG3ZsiWLFi3KzJkzs3r16iTJsccem29/+9uZMWNGhg8fXucJAQAA4PAknMFh6r333ss999yTu+66K+vXr0+SDB06NN///vdz6623ZtCgQXWeEAAAAA5vwhkcZl5//fXMmjUrDz74YDZt2pQkOeecc/KDH/wg119/ffr27VvnCQEAAODIIJzBYaCtrS0vvfRSarVannrqqex8NeHXv/71VKvVXH755alUKnWeEgAAAI4swhkcwrZv354nnngitVotL7/8cpKkb9++mThxYpqamjJq1Kg6TwgAAABHLuEMDkEffPBB5s+fn+bm5rz11ltJkiFDhuS73/1upk6dmlNOOaXOEwIAAMCRTziDQ8gf/vCHzJ49O/fdd182bNiQJBkxYkQaGxtz0003ZcCAAXWeEAAAAI4ewhkcAlauXJlarZbHHnss27dvT5JccsklqVarufrqq9OrV686TwgAAABHn0rbzreMAz1qx44defbZZ1Or1fLiiy8mSXr37p1vfOMbqVarGTNmTJ0nBAAAgKObO86gh23evDkPP/xwZs6cmTVr1iRJjj/++HznO9/J9OnTc/rpp9d5QgAAACARzqDHvPvuu5k7d27uvvvuvPvuu0mSU089NdOnT88tt9ySE044oc4TAgAAALsSzqCbrVmzJrNmzcpDDz2UzZs3J0lGjx6darWa6667Ln369KnzhAAAAECJcAbdoK2tLb/5zW9Sq9XyzDPPfLz+qquuSrVazaWXXppKpVLHCQEAAIB9Ec6gC23bti2PP/54arVaXn311SRJ//79861vfSuNjY0ZOXJknScEAAAA9pdwBl1gw4YNuf/++zN79uy8/fbbSZKTTjopU6dOzfe+972cdNJJdZ4QAAAAOFDCGRyEt956K3feeWceeOCBfPDBB0mSkSNHpqmpKRMnTkxDQ0OdJwQAAAA6SziDTli+fHlqtVp+8YtfpLW1NUly2WWXpVqt5sorr0yvXr3qPCEAAABwsCptbW1t9R4CDgc7duzI008/nVqtlsWLFydJjjnmmFx//fVpamrK6NGj6zwhAAAA0JXccQb78NFHH2XhwoWZNWtWXn/99STJwIEDc9ttt2XatGk57bTT6jwhAAAA0B2EM9iD9evX56677so999yT9957L0ly+umnZ/r06Zk8eXIGDhxY5wkBAACA7iScwW5Wr16dmTNn5qc//Wm2bt2aJBkzZkyq1WrGjx+fY47x3wYAAACOBgoAPWft2uSVV5IVK5KVK5P330+2bk369k0GD07OPz+54ILkC19Ihg3r0dHa2trywgsvpFar5dlnn02SVCqVXHPNNalWq7n44otTqVR6dCYAAACgvnw5AN1r06bksceSuXOT5cv3/7gxY5KpU5NvfjNpaOi28bZu3ZpHH300M2fOzGuvvZYkaWhoyM0335zGxsaMGDGi264NAAAAHNqEM7pHa2vS3Jz88Iftd5Z11uDByR13JDNmJL17d9l4LS0tmTdvXubMmZN169YlSU4++eTcfvvtmTJlSj7zmc902bUAAACAw5NwRtdbsyaZNClZtqzrznnRRcmCBcnIkQd1mjfffDPNzc2ZP39+Nm7cmCQZNWpUmpqaMmHChPTv378rpgUAAACOAMIZXWvRomTy5GTLlq4/d79+yfz5yY03HvChy5YtS61WyxNPPJEdO3YkSb7yla+kWq3miiuu8P4yAAAA4M8IZ3Sd++5Lbrute69RqST33pvceus+d21tbc1TTz2VWq2WJUuWJEn69OmTG264IU1NTTn33HO7d1YAAADgsCac0TUWLUomTuyZa1UqycMP7/HOs40bN2bBggVpbm7O73//+yTJiSeemClTpmTatGkZOnRoz8wJAAAAHNaEMw7emjXJeeclW7bkf5M8keQ/kryWZH2SvkmGJ7kyyfQkn9vLqbYmaU7ySJL/SXJMkrOSTEpyS5KPH6js1y/53e8+9c6zd955J3PmzMm9996blpaWJMkZZ5yRxsbGTJo0Kccdd1xX/cUAAADAUUA44+C0tiYXX5wsW5a3k5yeZNd/UAOTbEzS2vH7oCT/nOSywqn+lOTLSVZ0/D4gyfa0x7QkuSrJk2mPaUmSsWOTxYuzavXqzJw5M4888ki2bdvWsWlsqtVqxo0bl95d+G2cAAAAwNGjV70H4DDX3Pzxt2fujGN/leTxJO8n2ZDkoyS/SnJGkpYk45L8X+FUt6Q9mg1O8nSSDzuOfTBJ/yTPJPn7jn3bkmTp0sw766yce+65WbhwYVpbWzN+/PgsWbIkS5Ysyfjx40UzAAAAoNPccUbnbdqUnHpq8v77Sdoj2doke3rl/pok5yfZnOQf8kkES5KVSUZ3LD+V5K93O/bOJDOSNHRc47Md699LcuaAAZkweXJmzJiR4cOHd/7vAQAAANiFO87ovMce+ziaJckJ2XM0S5KRSS7qWF6x27ZHOj7PzJ9HsyS5teP8m9L+DrWdhiR560c/yuzZs0UzAAAAoEsJZ3Te3LkHfMiQjs/W3da/2PH5tT0c15Dkko7lF3bbduzChQc8BwAAAMC+CGd0ztq1yfLlB3TI9iQvdSyfvcv6trQ/xpkko/Zy/Oc7Pv979w0vv9w+DwAAAEAXEs7onFdeOeBD7k77lwL0SnLTLuv/lPZv3kySoXs5fue2d0obV+z+8CcAAADAwRHO6JwDDFWrkvxdx/Lt+eTuseSTaJa0P5K5JwM6Pj/sgnkAAAAA9kU4o3NWrtzvXd9JMi7tL/a/IMk/dcc8r77aHWcFAAAAjmLCGZ2zy7dp7nW3tL/w/80kI5L8a5L+u+1z7C7Lm/Zyro86Po8rbWxp2a95AAAAAPaXcEbnbN26z102JLkiyX8l+Yskzyc5ubDfwHwSz9bt5Xw7t32utHHLln3OAwAAAHAghDM6p2/fvW7emOQvk7yS5JS0R7O/2MO+lSRndSyv3ss5d36b5udLG/v12+s8AAAAAAdKOKNzBg/e46ZNSa5OsiTJkLRHsxH7ON1lHZ//voftm5Ms7li+vLTDoEH7uAIAAADAgRHO6Jzzzy+u3prkb5K8mOTEJP+WZNR+nO6Gjs81SZ4pbL8/7Y9+NiS5tnSC0aP34yoAAAAA+084o3MuuODPVrUmmZDkuSTHJ3k2yf7mrPOTfLNj+eYkv9rlnA8l+duO3xuTfHY/5wEAAAA4GJW2tra2eg/BYWjt2uSMMz616j+TXNqx3D/JCXs5/LQky3db96ckX06youP3AWkPZztf+39VkieTHFM64ZtvJsOG7dfoAAAAAPvDHWd0zrBhyZgxn1q1Y5flzUnW7+Xn3cIpB6b9vWj/mOTctH9pQL8kFyWZl+RfsododuGFohkAAADQ5dxxRuc9+GAyaVK9p2if46ab6j0FAAAAcIQRzui8TZuSU09N3n+/fjMMHpz88Y9J//71mwEAAAA4InlUk85raEjuuKO+M9xxh2gGAAAAdAt3nHFwWluTiy9Oli3r+WuPHZssXpz07t3z1wYAAACOeMIZB2/NmuS885ItW/a9b1fp1y957bXkzDN77poAAADAUcWjmhy8kSOT+fOTSqVnrleptF9PNAMAAAC6kXBG17jxxuTee7s/nlUq7de58cbuvQ4AAABw1POoJl1r0aJk8uTueWyzf//kgQdEMwAAAKBHCGd0vTVrkkmTuvYLA8aOTRYs8HgmAAAA0GM8qknXGzky+e1vkx//OBk8+ODONXhw+3kWLxbNAAAAgB7ljjO616ZNyc9/nsydm7z88v4fd+GFydSpyXXXJQ0N3TcfAAAAwB4IZ/SctWuTFSvaf159NWlpaX8XWr9+yaBByejRyQUXtP8MG1bvaQEAAICjnHAGAAAAAAXecQYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFAhnAAAAAFAgnAEAAABAgXAGAAAAAAXCGQAAAAAUCGcAAAAAUCCcAQAAAECBcAYAAAAABcIZAAAAABQIZwAAAABQIJwBAAAAQIFwBgAAAAAFwhkAAAAAFPw/7deHbNGLC7kAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 464, "width": 615 } }, "output_type": "display_data" } ], "source": [ "# draw out each of the triplets.\n", "nodes = get_open_triangles(G = G, node = 20)\n", "for i, triplet in enumerate(nodes):\n", " fig = plt.figure(i)\n", " nx.draw(G.subgraph(triplet), with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Tables to Networks, Networks to Tables" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Networks can be represented in a tabular form in two ways: As an adjacency list with edge attributes stored as columnar values, and as a node list with node attributes stored as columnar values.\n", "\n", "Storing the network data as a single massive adjacency table, with node attributes repeated on each row, can get unwieldy, especially if the graph is large, or grows to be so. One way to get around this is to store two files: one with node data and node attributes, and one with edge data and edge attributes. \n", "\n", "The Divvy bike sharing dataset is one such example of a network data set that has been stored as such. The data set is comprised of the following data:\n", "\n", "- Stations and metadata (like a node list with attributes saved)\n", "- Trips and metadata (like an edge list with attributes saved)\n", "\n", "Download the file from [dropbox](https://www.dropbox.com/sh/wzs8dnfw6zur4lc/AAC2fu_q44umOedX6cnSKGLba?dl=0). The `README.txt` file in the Divvy directory should help orient you around the data." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
namelatitudelongitudedpcapacitylandmarkonline date
id
5State St & Harrison St41.873958-87.62773919302013-06-28
13Wilton Ave & Diversey Pkwy41.932500-87.65268119662013-06-28
14Morgan St & 18th St41.858086-87.651073151632013-06-28
15Racine Ave & 18th St41.858181-87.656487151642013-06-28
16Wood St & North Ave41.910329-87.672516152232013-08-12
\n", "
" ], "text/plain": [ " name latitude longitude dpcapacity landmark \\\n", "id \n", "5 State St & Harrison St 41.873958 -87.627739 19 30 \n", "13 Wilton Ave & Diversey Pkwy 41.932500 -87.652681 19 66 \n", "14 Morgan St & 18th St 41.858086 -87.651073 15 163 \n", "15 Racine Ave & 18th St 41.858181 -87.656487 15 164 \n", "16 Wood St & North Ave 41.910329 -87.672516 15 223 \n", "\n", " online date \n", "id \n", "5 2013-06-28 \n", "13 2013-06-28 \n", "14 2013-06-28 \n", "15 2013-06-28 \n", "16 2013-08-12 " ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stations = pd.read_csv(\n", " 'divvy_2013/Divvy_Stations_2013.csv', \n", " parse_dates = ['online date'], \n", " index_col = 'id', \n", " encoding = 'utf-8'\n", ")\n", "# the id represents the node\n", "stations.head()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
starttimestoptimebikeidtripdurationfrom_station_idfrom_station_nameto_station_idto_station_nameusertypegenderbirthday
trip_id
41182013-06-27 12:11:002013-06-27 12:16:0048031685Michigan Ave & Oak St28Larrabee St & Menomonee StCustomerNaNNaN
42752013-06-27 14:44:002013-06-27 14:45:00776432Racine Ave & Congress Pkwy32Racine Ave & Congress PkwyCustomerNaNNaN
42912013-06-27 14:58:002013-06-27 15:05:007743332Racine Ave & Congress Pkwy19Loomis St & Taylor StCustomerNaNNaN
43162013-06-27 15:06:002013-06-27 15:09:007712319Loomis St & Taylor St19Loomis St & Taylor StCustomerNaNNaN
43422013-06-27 15:13:002013-06-27 15:27:007785219Loomis St & Taylor St55Halsted St & James M Rochford StCustomerNaNNaN
\n", "
" ], "text/plain": [ " starttime stoptime bikeid tripduration \\\n", "trip_id \n", "4118 2013-06-27 12:11:00 2013-06-27 12:16:00 480 316 \n", "4275 2013-06-27 14:44:00 2013-06-27 14:45:00 77 64 \n", "4291 2013-06-27 14:58:00 2013-06-27 15:05:00 77 433 \n", "4316 2013-06-27 15:06:00 2013-06-27 15:09:00 77 123 \n", "4342 2013-06-27 15:13:00 2013-06-27 15:27:00 77 852 \n", "\n", " from_station_id from_station_name to_station_id \\\n", "trip_id \n", "4118 85 Michigan Ave & Oak St 28 \n", "4275 32 Racine Ave & Congress Pkwy 32 \n", "4291 32 Racine Ave & Congress Pkwy 19 \n", "4316 19 Loomis St & Taylor St 19 \n", "4342 19 Loomis St & Taylor St 55 \n", "\n", " to_station_name usertype gender birthday \n", "trip_id \n", "4118 Larrabee St & Menomonee St Customer NaN NaN \n", "4275 Racine Ave & Congress Pkwy Customer NaN NaN \n", "4291 Loomis St & Taylor St Customer NaN NaN \n", "4316 Loomis St & Taylor St Customer NaN NaN \n", "4342 Halsted St & James M Rochford St Customer NaN NaN " ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trips = pd.read_csv(\n", " 'divvy_2013/Divvy_Trips_2013.csv', \n", " parse_dates = ['starttime', 'stoptime'], \n", " index_col = ['trip_id']\n", ")\n", "# the from_station_id and to_station_id represents\n", "# the two nodes that the edge connects\n", "trips.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point, we have our `stations` and `trips` data loaded into memory. \n", "\n", "How we construct the graph depends on the kind of questions we want to answer, which makes the definition of the \"unit of consideration\" (or the entities for which we are trying to model their relationships) is extremely important. \n", "\n", "Let's try to answer the question: \"What are the most popular trip paths?\" In this case, the bike station is a reasonable \"unit of consideration\", so we will use the bike stations as the nodes. \n", "\n", "To start, we'll initialize an directed graph `G` and add in the nodes and edges." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# call the pandas DataFrame row-by-row iterator, which\n", "# iterates through the index, and columns\n", "G = nx.DiGraph()\n", "for n, d in stations.iterrows(): \n", " G.add_node(n, attr_dict = d.to_dict())\n", " \n", "# use groupby to retrieve the pair of nodes and the data count\n", "for (start, stop), d in trips.groupby(['from_station_id', 'to_station_id']):\n", " G.add_edge(start, stop, count = len(d))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(5, 5, {'count': 232}), (5, 13, {'count': 1}), (5, 14, {'count': 15}), (5, 15, {'count': 9})]\n", "\n", "density: 0.4935777777777778\n" ] } ], "source": [ "# notice that there're self-loops\n", "print(G.edges(data = True)[:4])\n", "print()\n", "\n", "# examine the density (the proportion of nodes that are connected)\n", "num_edges = len(G.edges())\n", "num_possible_edges = len(G.nodes()) ** 2\n", "density = num_edges / num_possible_edges\n", "print('density:', density)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving NetworkX Graph Files\n", "\n", "NetworkX's API offers many formats for storing graphs to disk. If you intend to work exclusively with NetworkX, then pickling the file to disk is probably the easiest way.\n", "\n", "To write to disk: \n", "\n", "```python\n", "nx.write_gpickle(G, handle)\n", "\n", "# e.g.\n", "nx.write_gpickle(G, 'datasets/divvy_2013/divvy_graph.pkl')\n", "```\n", "\n", "To load from disk:\n", "\n", "```python \n", "G = nx.read_gpickle(handle)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Reference\n", "\n", "- [Youtube: PyCon 2016: Practical Network Analysis Made Simple](https://www.youtube.com/watch?v=jdvlZJKK4F0)\n", "- [Github: PyCon 2016: Practical Network Analysis Made Simple](https://github.com/ericmjl/Network-Analysis-Made-Simple)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" }, "toc": { "nav_menu": { "height": "512px", "width": "252px" }, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "335px" }, "toc_section_display": "block", "toc_window_display": true }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }