{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Capability Correlations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's start by importing all of the necessary libraries to conduct the analysis. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from py2neo import Graph\n",
"import numpy as np \n",
"from pandas import DataFrame\n",
"import itertools\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import json\n",
"import math\n",
"import pandas as pd\n",
"import plotly \n",
"import plotly.graph_objs as go\n",
"import qgrid\n",
"from scipy import stats, spatial\n",
"from sklearn.cluster.bicluster import SpectralBiclustering\n",
"import operator\n",
"import math\n",
"from IPython.display import display, HTML\n",
"import collections\n",
"\n",
"# please add your plotly api credentials to plotly_config in your own machine. Visit https://plot.ly/python/getting-started/\n",
"plotly_config = json.load(open('plotly_config.json'))\n",
"plotly.tools.set_credentials_file(username=plotly_config['username'], api_key=plotly_config['key'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Table of Contents\n",
"\n",
"- [1. Patent and Publication differences on term pairs](#one)\n",
" - [1.1. Axis building](#one-one)\n",
" - [1.2. Function Design](#one-two)\n",
" - [1.3. Patents and Publication Matrixes](#one-three)\n",
" - [1.4. Analysing the differences](#one-four)\n",
"- [2. Patents and Publication Matrixes: Chronological Evolution](#two)\n",
" - [2.1. Absolute Evolution](#two-one)\n",
" - [2.2. Comparing the chronological evolution of asset types](#two-two)\n",
" - [2.2.1. Feedstocks](#two-two-one)\n",
" - [2.2.2. Outputs](#two-two-two)\n",
"- [3. Comparing the patenting and publication rates of individual terms](#three)\n",
" - [3.1. Function design](#three-one)\n",
" - [3.2. Feedstock](#three-two)\n",
" - [3.3. Processing Technologies](#three-three)\n",
" - [3.4. Output](#three-four)\n",
" - [3.5. Comparison](#three-five)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1. Patent and Publication differences on term pairs "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In order to establish a base for understading the basis of the work, we wish to understand the occurence of severall feedstocks, processing technologies and outputs in our database. \n",
"\n",
"For example, how many assets (patents, papers, etc) contain the mix of processing technology X for output Y? \n",
"\n",
"To understand this in a more general way, the [AMICA](https://amica-pathfinder.net/) database will be transformed in an [co-occurence matrix](https://en.wikipedia.org/wiki/Co-occurrence_matrix). This means, in the above described example that the number of assets that contain that mix will be an entry in a matrix, whyle the corresponfing technology and output will be columns/lines of the matrix. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.1. Axis building "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start by creating, like previsouly a list of terms (feedstocks, processing technologies and outputs) so these become the axis of the capability matrix. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"local_connection_url = \"http://localhost:7474/db/data\"\n",
"connection_to_graph = Graph(local_connection_url)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"query_no_interestions = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(fs:Feedstock)\n",
" MATCH (a:Asset)-[:CONTAINS]->(out:Output)\n",
" MATCH (a:Asset)-[:CONTAINS]->(pt:ProcessingTech)\n",
" RETURN fs.term, pt.term, out.term, count(a)\n",
" \"\"\""
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# issue: this query needs to be divided by two when building the matrix -> NON OPTIMIZED\n",
"process_variables = ['Feedstock', 'Output', 'ProcessingTech']\n",
"query_intersections = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(fs:{})\n",
" MATCH (a:Asset)-[:CONTAINS]->(t:{})\n",
" WHERE fs<>t \n",
" RETURN fs.term, t.term, count(a)\n",
" \"\"\""
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"342\n"
]
}
],
"source": [
"# Return query as pandas dataframe \n",
"data_no_intersections = DataFrame(connection_to_graph.data(query_no_interestions)).as_matrix()\n",
"\n",
"# Get axis names from columns and append to list\n",
"feedstock_names = set(list(data_no_intersections[:, 1]))\n",
"processing_technology_names = set(list(data_no_intersections[:, 2]))\n",
"output_names = set(list(data_no_intersections[:, 3]))\n",
"matrix_axis_names = list(feedstock_names) + list(processing_technology_names) + list(output_names)\n",
"\n",
"# Extra labels that only appear in non-intersection queries\n",
"for category in process_variables:\n",
" data_no_intersections = DataFrame(connection_to_graph.data(query_intersections.format(category, category))).as_matrix()\n",
" for column_number in range(1,3):\n",
" column = data_no_intersections[:, column_number]\n",
" for name in column:\n",
" if name not in matrix_axis_names:\n",
" matrix_axis_names.append(name)\n",
" \n",
"print len(matrix_axis_names)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our matrix will have a total of 342 rows and 342 columns. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.2. Function Design "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start by creating a function that given an asset (e.g.\"Patent\", or \"Publication\"), returns a matrix where each entry correponds to the number of documents containing a certain term. For example: \n",
"\n",
"matrix[i, j] = z\n",
"\n",
"norm_matrix[i, j] = w\n",
"\n",
"There are z documents containing the term i and j.\n",
"\n",
"Where:\n",
"norm_matrix[i,j] = (matrix[i, j] - mean(matrix)) / standard_deviation(matrix)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_asset_matrix(asset, normalization=True):\n",
" \n",
" # define queries\n",
" asset_no_interestions = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(fs:Feedstock)\n",
" MATCH (a:Asset)-[:CONTAINS]->(out:Output)\n",
" MATCH (a:Asset)-[:CONTAINS]->(pt:ProcessingTech)\n",
" WHERE a.type = \"{}\"\n",
" RETURN fs.term, pt.term, out.term, count(a)\n",
" \"\"\".format(asset)\n",
" \n",
" process_variables = ['Feedstock', 'Output', 'ProcessingTech']\n",
" \n",
" asset_intersections = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(fs:{})\n",
" MATCH (a:Asset)-[:CONTAINS]->(t:{})\n",
" WHERE fs<>t AND a.type = \"{}\"\n",
" RETURN fs.term, t.term, count(a)\n",
" \"\"\"\n",
" # get data\n",
" data_no_intersections = DataFrame(connection_to_graph.data(asset_no_interestions)).as_matrix()\n",
" \n",
" # create matrix\n",
" asset_matrix = np.zeros([len(matrix_axis_names), len(matrix_axis_names)])\n",
" \n",
" # for no intersections data\n",
" for row in data_no_intersections:\n",
" # the last column is the frequency (count)\n",
" frequency = row[0]\n",
" indexes = [matrix_axis_names.index(element) for element in row[1::]]\n",
" # add frequency value to matrix position\n",
" for pair in itertools.combinations(indexes, 2):\n",
" asset_matrix[pair[0], pair[1]] += frequency\n",
" asset_matrix[pair[1], pair[0]] += frequency\n",
" \n",
" # for intersecting data\n",
" for category in process_variables:\n",
" process_data = DataFrame(connection_to_graph.data(asset_intersections.format(category, category, asset))).as_matrix()\n",
" for row in process_data:\n",
" frequency = row[0]\n",
" indexes = [matrix_axis_names.index(element) for element in row[1::]]\n",
" # add frequency value to matrix position\n",
" for pair in itertools.combinations(indexes, 2):\n",
" asset_matrix[pair[0], pair[1]] += frequency / 2 # Divided by two because query not optimized\n",
" asset_matrix[pair[1], pair[0]] += frequency / 2 # Divided by two because query not optimized\n",
" \n",
" # normalize\n",
" normalized_asset_matrix = (asset_matrix - np.mean(asset_matrix)) / np.std(asset_matrix)\n",
" \n",
" # dynamic return \n",
" if normalization == True:\n",
" return normalized_asset_matrix\n",
" else: \n",
" return asset_matrix"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.3. Patents and Publication Matrixes "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now create the capability matrixes of publications and patents.\n",
"\n",
"First, a query is created:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"norm_mode = False\n",
"publication_matrix = get_asset_matrix('PUBLICATION', normalization=norm_mode)\n",
"patent_matrix = get_asset_matrix('PATENT', normalization=norm_mode)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Consequently, both matrixes are plotted. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
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hzevOepP9+JS5\n7TOL/mVj3vsPeQeyTntrms826Z33Pp3n0anIiXy5zc+OP8/PjWVpVO/93cMfN0oP0EeuNr/oc3Fo\nq5YfoAptvrm6/Q7Kurn+3ZIFAAAAAGCBGCgvkUVP+wV80E7DqDu1ClhF63IMcM70xzXGrmpZTmh1\nAkSVBVetEir9XQTzWhS9f+BzjlyX82gXgqxRTqKkEAm2DhWhdXewI7uDHVFRpfX9qLWiPo27qkFs\nJhuFz1RFUBYROZ+dy/fts8ZV3+7p4UH+mh6VNomSwj5d+bt57o7cPHdn5jWzM72fnvIqo1uHt2Uz\n2bCevFzfVesky+hpuX3xbbl98W0RcZeX+ZqK7lv2mbJ9qv3o+bINOMoGISqq8MFwv9Cum5xc1ef1\n8m4TlXh3sOOMLG3us4kXt28UIier/en7tO1fBeewTfN5/cYvWdNWp85dEfOr3P39351Jf9Pz1e5g\np1B3b7337Zl/q6iUVWzlp/J9afNi3l6yOJNbBzdF5GmEbVuUbRGRG1vXRUTkzpWvyZ0rX6vcPxCK\n2ZbVNbwp/Tx7dnRoPZ4WFdtDZ6arTprMmA3quqNih/h2bM9n5wqvmedF3+2dHh7k39WvAa5rTZM6\nuDa+IiKzT5Uw6WVje1KBef02r02260So9mIrizaxXlSfoO3ALZZYsmRkfW8ik9I+j7pmbSYbznSc\ny44KT105n53z6iNtJhvW5/iqPoGZNvVkGN/0u/ZvpkNfg/zawavy2sGr+RN79Jg9vnURSywHw/3C\n5832a5ZRnRsM+naTKJH99JRsJhszsUgub16yflffz6vPvOa9T8wi6jUAYKUR9bob9AkAAMum86jX\nAAAAAACsKgbKAAAAAABoGCgDQM/E2n/AOluXY6Av+ew6HX3JJ+qx1Vvbdd/zDjBVZ21wH7UpL467\n5hqVnC0Q1vNbV0t2EhcWpOtU8KV3vvtdeee735ULG+cLB6BPICl9e7a/le3BlnN7eqAelU6V/qPs\nrGRxJrHEsj3YyoNv6J8xA5Cp/+2lu/nr73zve/LO974ne+muJFEiL27fKKRP0YNSvbLzkryy89JM\n+ZkBDrYHW4UgXbYD5OWdr+bbM9mCg4jMBvrQ06a/pp+I3nz3t+TNd3/Lmk5X2szgYkmUzJSHvg9V\ntqeHB/lraj96MDhbILEzo8NCYApFtYHXX/6GvP7yN2aCg6mAD7ZgUKr+zXyq/ejBF8zgH2awEddJ\nTQVzqArmVXVB0IPjmXVz6/B2HshMBdQ4HD1TKDO9XvT8vH7jl/IgHTZm3n7x1j/xTr/5XfNztsBg\nscTyxpvvzxyzdQOyqDK6vHmp8Lk33/mNmX/bzguKXsdmuxaRPFDHq7svy5nsUM5kh/LO974nv/eX\n/0ZEntbNrcPb1jSqgF9/dvyB/NnxB868AKHZjic9GI9OHRPmOdl2zkuiRN78ze/Ipc2LhXNenT6B\nuU3ba2XnVFtwIJUHPQDSKB7m5wo9OJBO5dvM/51bvypZnOXX76PsrPUaZqb/2Y0LM9FvbfkbxcNC\n0ChX2l7cfl5Enp6L9tNTImI/r4oUz5k+Hflbl9+eSastoFfVtc3sf+mBx9IolYPhvjXAl16Otr6h\n6xqgp08FTdTLenewUxkgUu/b6Glz9UN8qW3ZAsPqbO3RbKtplOZla1677rz2K3Jh4/xMPi6Pn5U3\nv/ZPC/17201es0+QREn+LGC9LGOJ5fb5N+T2+TdmPm/rx9nOJWYwL73tTrSYTJc2L8qlzYvyxu1v\nFrbvO6iMJZZz2VHhuNPTo9qr/r7Zzy3bn96Gdwc7sp+ekld2XpK73/8jufv9PxIRyQOSmfR0/Lvj\nf++VJxQRzAsAsNII5tUN+gQAgGVDMK+OtA3dH2L/yzZ9YtnSizBs9b7IttDlvueRL/OXrKrPctxh\nVSxTW15EWnk+KubF57peNhvO57V50q+Vvo+farqfRetDGpYVJYfOcGCuJ+q9O5QtAADtcC2Fr8Gi\nE7BMJjJZyHdDbmOeli29CMNV74tsD13uex75Uvvw2RfHHVbJMrXnRaRVrfMEumZr3+ZrrmPA1k4X\n2XbNdHaZlj6cw/qQhmXFLRV0psupLEBfzLON+0yrZuo1AKBrba8zXKeaq3udp6ybC1ZytgiudYzi\nYR7pzowIJ1KMElemaj1fWXTLsk6v3jCrog6rz9sGi7cvvi23L76d58ksOz1Snf7dvXRX9tLd0gbv\n+1iZJEry7Zlsr5lpEbFHptTT/sLWdXnhiwiRIdd3m9HIVSTysu/b3ndFuFTbv7F1XW5sXZ+Jyqnq\n09UebfvS61dFYGy6XmcegyBVplmc5XU8iofe+94d7FijpNqiW5elocnnyo7rssixrtdMtrbWJPKr\niPvcpCKbq+i3dy7flXf+xT8XEZEoiiSK7DEoVBTgt7//h/L29//QKw1AV0LdQNpPT1mPlbaPptE1\nPaeaebRFcPal8qPOvb7l5/PImzp1YVuz6fsUAh8qOnTIG+m2CNddsbU7dX1sok7ftisq8rXZf9Tz\npEdOV9J4YE2/rSxsUfBvnn+9bdIbU9G9Vf/MFlW7SiyxNf96u1bR8HVNH1Ol+mabyYac3/iKnN/4\nSv56lZd3Xmy0T/CLcq8t4tdY1yB51ZQ9CqgrrkdsAAAAAOgXHg8FAFhpPB6qG/QJAADLhsdDAQAA\nAADQEAPlNcXC/tVF3S5Wm3WKCnUIAAhh0deTRe9fabo2GOutUevtKrCGCu7Ql4PKRg9y0CYAiLnY\nv8n32uo6MNS8ol73ub2Y5pHWkI8BsAX1MN8z/3YFxQgZEKYu1z7qHgO2PJjfP5meeNVB2TlzPNjM\njx8ViKyKOtbGyVjGybjy8wD6o+l5cJmufyKLPd+vq64eDeTbv5vIxPrZkAH5fESWdrGsT2bh6Rbz\nQykDc8JJDQAAAFgOgyZfst2dejJ90joxi3z4uC+V9zZ36Mx8+m4rZPnM4+Hj86rPZXmQ+rKkU1fW\n3vXX9L9d54JHk8el++iSax91923LQ9P0l50zPzv+fObfJ1J9LKnj7cHJg0bpAbA4Tc8jy3ZdWeT5\nHmHV6ePZPhti3FDHw8nDwmvLMO6woY3PT6OBMgCgn7iAAgAAtMdcUAAAAABYQSz9a46SA7C26gbE\nWNbAHwAAhLQKT3eYRxr60G9gpllzi2+lAAAAAAD0SLCBcoi7MurXnXmHjEc3Qj0eal0em7EqXL/S\n9qk+VLucfPFfFZWnQcvH15nfdW1rM9mY+bfPcaQ+M6/HsgFKl8c2j0GZr67LOmRfEYs1kUmreujD\ndSpLRq2+H2v/uZgBwxbRds0+BfwFC+YV4mf9PMLulCkCqyBUNMF1iQa6KkJFmO5S3bap0u6K3F13\nO65/K/eNyNU+6VWfWdYonlheXR7bfTpvrIOuyztkXxGL16Yu5h312sa81tbVJP+LaL9t87nOuCUH\nAAAAAICGgfICrMu0oXXJ56rparr8KB56fxbA8lqXYzpkPvswDdWVn3nXZx/Koo6Qy3HmKY3SwlJH\n22si9nTGEnvXVd+XYwEutFIAQXHxAwAAwLILtkYZ/tZlfc265HPVtF3j6qp31/pe2gmwWtblmA6Z\nzz7EFuhLfIk+lEUdbcpnkceKbY2wa92wLZ0TmYhM/fbl/D7Qc/z0AwAAglqlmSWLyssqlaHSlzz1\nJR3Lou20fKZeY1n1qpWO4qFzHeMqyeJMsjhbdDLWprybWpfH7JStJdfz7/s5l93BjvX1vrTBPtd1\nnQ7FurRb9FuoX4v60Jle1C9fq/iLW1/y1Jd0LIu2sw1sn9sebLVKEzAPvZp63fbRK8vi4eThopMg\nIutT3k0t2/SvpmwXMDXQ0sug7ILoU1afHv/c+npf2mGf67tOp67P+QDqYkADrCZXnwDok8XfqgUA\nAAAAoEcaDZT7MBUKQHdOpiczv0zapvIyvdfN5xxZ9hnOsVh2odpwLLGM4mGwxw26zltlSxbmdTzq\n+zf/nvf5Vi9v332bS3VsQiy1MduCWT5Ny6rp99IobfzdsrYVqt6zOGu8LbVET31XT69tOZWtfl2v\n2R5D5UpDX5YsdqHNOm90r9HUa6ZCAevFNp2XKb5uPufIss9wjsWyC9WGJzIJujzDdd4qO5/N63jU\n0+D6e170PPvu32epToi6NLdtpq9peTX9nitStI+2S5p8tFnuZ9aXnl7b1Glb/fq+5puGVdNmnTe6\nx+0JYAX18c5jH9MEAAAA2ATpuSZR0mpKxGayoSUozv/fNvXHZ/pV1fu26R7qO2mUOqeDHI6eKd1u\nmYPhvnV/scSFKTGu9F/avCiXNi/OvGZ+d5yMvdJz6/QtuXX6Vq3Bi0/+zak9V8fPWV/XP6+/t5fu\neqfHpW00b5WesrbQlCrvNunbHmwFm4Zo8/oL7xbqRZWFXh5l5XP393+3uN033xORYvu2tY2uB9VN\ntx9LXMjzhY3zIZI0Q5W/beqj6xjXP8u0eCxS2/Omfn5z9S36cOPNPM7qnJfN49g8fn2PYZ9rpm+a\n9Km0ehrKpqTXrQef9LqekODi04cK3V70vLdp76H6GFXtxVVXqg9qvmZucy/dLfRbXNdu2/ZuHdws\nfFbvz+pp2x5szT0idtM+latMuzg/ucYNPvuiT9Dc4q80GltlL2KqQZtpND5s+VzE1Kq/+PAvOt2+\nGiRXCZn3vjxqyKYPHbvQbMeKbZCM+qbTaeE13xthADAPTAddXn15tvEq9o04LlZHZOuMubwfvef/\n4QZsj6RZReqksMgDKZa48/0ve32Grqc+1LuNmS69bZS1E9d76maFua5oe7Alnx1/Xvh8GqWd35xa\ndnWO1762s0X6YPqDaNFpWEW/Eb0/nchEkigpnOddx3vd9nlmdCj3Tu4VtjWKh43WLja59tnyp7aV\nRMnM+asqf65t7aW7cu/4fr6tUTyUJ5PjyrSqcqg6V5tpsqUjlliiKJKT6cnMd1xpbnLu3h3stH4s\nkPoV1rWxbDnGAAAYyklEQVRv/Ya53kb0PDXtA2VxJg8nDwvbUn+XpVmlV0+/WbZ106Xy+mRynNdd\n2ef08rD10dQMDnNdswoI9uDkQZ6+NErl8vhZ+ftHP5VPnnxams4LG+flRw/+dua1N25/U/7rf/8P\nhfJTvybrx7wtrfmsk2Qk908elO5/Fehto27/2nU+Xld1+gS9GigDWB7zuNkChMBAuRv0CQAAy6ZO\nn6BX8x26XHe5CnzC4/uWX5P1CnXrpos1vuieGR/AxTVIPhjuF9bki7inxddpi108ggNAfy36kU11\nhFz645u/ea/lXAZ9bBvrxHYc2Pquqn/oionSpXUbb6xTXkOj5AAAAAAA0DR6jnJXmMZZzudZeL5l\n2GTdcN36Yd3pcmp7HP7s8UfW113rCeu0xabr3Tm3AMvJdcz38ZgO+bxX3/yx7rCoj21jndiOA1v/\nVfURzWN8Hn3HdWsj65bfkPhFGUAjXU7l6Us0TgDVePQIfNFWllPb6y/XdCwrWimARrq8Q2nbNndE\ngX6qExQU6422spy6uP5yTccy6NVAeV2CP/Uln2YABcxat2APOt+AXvrnq7gC0YVsg7RnjmvMHx1e\n+KKtrCfqHctqPUcBAAAAAAA49CqY17oEf+pLPpsGRloX63wHtG7efT7vCkYXsh3SpikDAACAEPhF\nGQAAAAAADQNlAAAAAAA0DJQBAAAAANAwUAYAAAAAQMNAGQAAAAAATaOBsu2ZqSGf27muz65dNaGe\nQ9yHZ04vG9czi0NpUq8hzhGLPjfQFoHVE+q8sujz0zIwy6hJmYXqW6yTLsqszvZsn3V9f5nqd1nS\nieYa1fAwHhZe20rGrROTRIkkUWLdftPGWOfgLPu87eTeNE1ZnOUDmVjiwgDCNaAYxUMZWcrG57u2\nz6VRau34tzl56e/vD/dkf7hXud0q+8NT3vvsWpN6V583673LdDy7+QuNt7U92JLTwwM5PTzIXx8n\n4/z4FBGJokjGjmN+d7Aju4OdYpo2Llg/bxvU29p5EiWSxs2eaNe2vNWxYnu0m7lt32OwLE3bg62Z\n8vbZpjqWXcc10JU615Em206jdKGd56bn/DpUGfpc53Vd/UihX6+anE9cZXB6dNAscZqddFt20u38\n3/q5chHanG/n9SPTM6PT8szotPWzrvampy2LM9lMNmbez5JRIe+u/Oh9QeUoO2P9bJaMJEtG1vds\nFnWzJZbY69GYoepYL3+f67xPHaNaNJ1OvT/8fvSe88O+DaaMqtRFPr82RD6qqIOm7vNO1UXL9Tza\numno+nmr6qC+f/Kg1XaaprVpXc6jDXStTf0mUZKfVMvq7mC4Lz97/JH1vXEylnsn92Zey+LM2nbr\nlHfTunENckMYxUN5NHkcdJtmWen5dpXBPI7pZfXB9AfRotOwisr6BFhOXV//VuH62leLKFvf644t\nbaGuWbQp1FWnT8CcAQBBuX5pRntM8wIAAJiPZvMYLULczenDHaF5pKHpHbQQvyS3TUMdbX9JVpqm\ntWld9qEdttWmfk+mJ1515/o12fwlWXG13zrl3bRuuvo1WUSC/5osUiwrle+y/PNrMoC2ur7+rcL1\nta8WUba+1x1b2kJds2hT6BI/TwAAAAAAoAkyUE6ipLDIvw61HlIFsVD/9g2sVVfZAviy9w6G+433\neWZ0mP89TsYz01PNhf6u/O2lu7KX7s68Zgax8F2wf+vgZu1gXqeH1UE49O8+v3VVnt+6mqfTxkz/\n9mDL+hnffao8ZXHWuJ2o/enBTPR9NQ3soufVVk++291LdyvT0SZ4xJ1rX8/TqvaxO9gplMfV8XPW\n/b313rflrfe+Xdjum+/8hojM5jOJEutU7dBTjC9snA+ynVjiYEExyvK4O9iZqQN1fjXPHTYE88Iq\nWdXlBn2M+KvvV09HyPR0EXRr0VGS2+y7D+27rH/m8zkftqCdruvUPIKzLbrNtLXs6V8mwYJ5AQDQ\nRwTz6gZ9AgDAsiGYFwAAAAAADTFQBgAAvbQuywj6No2yq6mdfctnXYt8XvOitcm7rd5dy5iYVhwe\n5dlco5KzHSwhLmbrsrbOXH+xiBNvrP3XlVDrTJb9Qen6Oq95nKzSKK1VZma6bN/N4sy7Pl3HsW39\nuUjYdVBdm1fauKhhmXT5SLgn0yetYqD4aBvPwtxOk+3pz0k3v1927QhZ9qN4mOdp8sV/oaXx7MNW\nqsrKdt3ZTDZqtQmf87ZvnXX1dAEzn3XbkB5TxMYWc6WOzWRDYoln0rifnvKOsbM/3Cu8NtTiEc3E\nmokHhXZiM4+1zD5pmBdXDAEfRAZvrtHjoWwnihAnjy4f4dInZlkt6rEuXR84dda/l+ni8Tvz5PNo\nn5BOpifyZNr8kUu28j6ZnhTaaRql1mPWlc/Pjj+3vm5uN0S7UReQ0GUe8liNJXamL4oiEVZ/Ykm4\nHgkXSqhHDbo0PU+Y54MQ53rbd8u2F7Ls53GtNfdRVVa2c27d9uBz3l70QMLVlpp+39T28aK2Mv/o\nyceF11zptj1OUm3Tpw9i04dHIoZIQ1lfwGXR7XWd9Oo5ypifedQXbWIxuih324DYdWOr7YVjVZ7J\nXoVnIgMA1hXXuad8+yvL0K9ZRczvAwAAAABAE2ygzJo6mEKtyaVt1dd23UwX66mpRwB1LXoN4rz1\nYd2lyOw1IGR6uohDs+gya7PvPtT1PJ6jbIt94lpnPoqHteOsAF1h6jU6E6pN0Lbq68P053lsE8Bq\nW7fpmX3Jr36+DpmmLmLRLLrM2ux/0WkvS0PIeDq2dceuteZ118rTt0CXuA2DzhDif3lRdwAAAFhn\n9IQBAAAAANAEGyiHWGcxj2f7Yn5CPYexD2t4lq1NtkmvelSBXnfqGY36dus+vzPE2rRlq4cyZe26\n6+fGAgDQRttr+ryv54vsP4TY98FwP0BKUFewNcoh1lmwzgA2fVjDs2xtM/RzPG11UPf5nSHWpi1b\nPZQpa9ddPzcWAIA22l7T5309X2T/IcS+bc+iRvca3eKw3RnJ4qx1YlTkwrq/VDXdV11mFMimv3Sm\nUTpzJ87cjuvOk++v7T6fS6LEGVkw1F23LM6CtYsm75flo2791blz6tpvyMicVXVcN736ttIoLaTV\nVo93Lt+d2Ybialfbgy3n/k0h7lR3cffYtk3f10T8zzsXNs7XSxgAAFhZfZhduY4a/aJsuzPycPKw\ndWLULyx1f6lqs686QkWBNO/Cmdty3XkK+VDyk+mJMw+h7rqFaBMi1WXdJB9166/OnVPXfkP+Ml5V\nR23Sa/uurS7/21//Z+v2XBErPzv+3Gv/rjSIfDktvEpXd45t2/V9TcS/Dfzowd/WSxgAAFhZfZhd\nuY5WZ8EfAAAAAAABMFAG0Nq81v6s0hplAAAA9BcDZQAAAAAANL0aKLuCAPVFqOBATYM6hQwGNQ/L\nll7Tsqe/jN6WffNpfk7fhhkMzBaMaz89Zd1un4/5PoglrhUUz1X+wDJa1XOwaZUefbeOqL+n6gRX\n5drfTCxx7f4p7bO5YI+HCuHJ5HjRSSi16Gmfy7aQf17p9Q3wVNeylXcdTQLTlQWdi6JIZPr0b1cg\nLldwt+MVLucQJjKRx44AaTYhHsMF9MUqn4d1i+5foB3q76k6wVVdgT9RbiKTvL9V6ztohFsMAAAA\nAABoGg2UbdP6jrKzNXY6O2VTTR8YDzZlPNiUM6PDwjSBptMGbN9LosSaBz0t5ueTKJHNZCN/v830\nxlPprpxKdyWNUuu0Std0lNPDAzk9PCjddhZnXlMyxslYNpMN2Uw2Cu+59p9ESWHKru0zytXxc3J1\n/Fz+7yZ1GEvsnLKr8jl0pFflw/ZM3bL6U5/Vv6fKSe2zrHxdbXd7sJU/S7jNdEK1RMGsJ5XeJEry\n5/D6PlNbT8/uYCdva+r1o+xsoczu/vEfFPIoInJp86Jc2rxYSNeNrevW/e8Odgr5cD1z2dZebcx8\nh5q+uT3YKhyvtvS79qenv+pZyfpzyNN4kG+76hnNfV/CgtXT5fRo17m6D1MJXWlokramx6xP2ddJ\njyrrrp5F73sOr9pG2Xb60DYWoSzfev/D/KxPeal+s/5Z27XGVS9mO02ixNm366rtmXkOsR+f9ly1\nn4PhvojUO4/WTfu6LGHpQqOp17apfR89/tj7+/oUAH0Kwf2TByIi8vDkUbBpArbtnExPZGqZtzCR\nicTTYsNTU0keTR7nf7eZ3vj58f2ZbZjTKl3TUaYeZfJ48tir7B5OHsp0ap+74ZoCb06psU2x0bf5\ndw9/PPNekzqdyEQ+Pf55aXpcU31UPlxtoI6HJ4+8v2fuT/373hf13mT/uuPpibXu8v1ORf72wf+z\npsXGTMv9kwf5saje+8nDnxa29Q//6j8WtpFEiXz4+GfW/fz40U+sr5tTsicyyfdvcr1uMtPqaut1\n3T95UCivz43nvpdNi9LTX/as5CzOZsrlWCtfEZHJ1N2mmcqOebOdz6qWxPgumUmipNbSg6ZUp7PO\ndcr12YlMnNtz5fvJ5FhiiZ8uY/mCKld9W+b39XNbkzwU0mHp26RRan29q2VPVczrgBrcV/XLqsrH\nJz+2z6RRKifTk0ZlMYqHwaYgl+3/s+PPnZ9VS6c2k42Zsk2iZKaftTUYz/THhvGwsF1X/3F3sCMf\nPflynFDWB1I/friWazVVGHsE4NMnqdrXzx5/JCLdLjMZaHWJeoLdsvEZxJVJokRe2LouL2xdz389\nCcH1i7LrV0i9QZvfnU6neUe1zZ2oa1tX5NrWlfzkniUjZ5r1vz9+8ql8/OTT0m37Hvwn05P8F3yT\nm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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# create subplots\n",
"plt.subplots(2,1,figsize=(17,17))\n",
"\n",
"plt.subplot(121)\n",
"sns.heatmap(publication_matrix, cbar=None,cmap='BuPu_r', square=True, xticklabels=False, yticklabels=False)\n",
"plt.title('Publications Heatmap')\n",
"\n",
"plt.subplot(122)\n",
"sns.heatmap(patent_matrix, cbar=None, square=True,cmap='BuPu_r', xticklabels=False, yticklabels=False)\n",
"plt.title('Patents Heatmap')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Due to the scarcity of documents in certain intersepting categories, the matrixes are rather hard to read. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We analyse some basic stats of these two matrixes.."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PATENTS:\n",
"Rows: 342\n",
"Columns: 342\n",
"Mean: 0.7012927054478301\n",
"Standart Deviation 6.683876527537948\n",
"Max: 883.0\n",
"Min: 0.0\n"
]
}
],
"source": [
"print 'PATENTS:'\n",
"print 'Rows:', patent_matrix.shape[0]\n",
"print 'Columns:', patent_matrix.shape[1]\n",
"print 'Mean: ', np.mean(patent_matrix)\n",
"print 'Standart Deviation', np.std(patent_matrix)\n",
"print 'Max: ', np.amax(patent_matrix)\n",
"print 'Min: ', np.amin(patent_matrix)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PUBLICATIONS:\n",
"Rows: 342\n",
"Columns: 342\n",
"Mean: 1.963835026161896\n",
"Standart Deviation 22.45221872398744\n",
"Max: 2169.0\n",
"Min: 0.0\n"
]
}
],
"source": [
"print 'PUBLICATIONS:'\n",
"print 'Rows:', publication_matrix.shape[0]\n",
"print 'Columns:', publication_matrix.shape[1]\n",
"print 'Mean: ', np.mean(publication_matrix)\n",
"print 'Standart Deviation', np.std(publication_matrix)\n",
"print 'Max: ', np.amax(publication_matrix)\n",
"print 'Min: ', np.amin(publication_matrix)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Clearly, there are more publications, for instants, the average cell in the matrix has a value of 1.96, which compared to patents (0.7), is more than the double. \n",
"\n",
"Moreover, due to very high max values, (883, 2169) the matrixes are very irregular. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.4. Analysing the differences "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we create a matrix where every entry correponds to the following:\n",
"\n",
"difference[i,j] = patents[i,j] - publications[i,j].\n",
"\n",
"This difference matrix, will give us a feel for what combination of terms are more patented Vs. researched or vice-versa.\n",
"\n",
"We subtract the matrixes:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"differences = patent_matrix - publication_matrix"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And we plot the `diferences` matrix. "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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0TYZhvIh7svSXiUvXGmr53PYDwZLey6DOEQCn8gVvKsMWcGfnyvJcbUUk5UvZ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\ngJ7goQ8AQE/w0AcAoCf+H6KQyDC9jAQBAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.subplots(1,1,figsize=(9,9))\n",
"\n",
"plt.subplot(111)\n",
"sns.heatmap(differences, square=True, xticklabels=False, yticklabels=False)\n",
"plt.title('The heatmap of differences')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Due to the high volume of entries, it can be hard to visualize what is happening. \n",
"\n",
"Therefore, let's create a table with the combination of terms that are the most dicrepant. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# list where all the values and indexes of matrix are stored\n",
"values = []\n",
"indexes = []\n",
"no_duplicates = np.abs(np.triu(differences, 1))\n",
"\n",
"# loop through the matrix\n",
"for row_n in range(differences.shape[0]):\n",
" for col_n in range(differences.shape[1]):\n",
" values.append(no_duplicates[row_n, col_n])\n",
" indexes.append((row_n, col_n))\n",
"\n",
"Z = [indexes for _,indexes in sorted(zip(values,indexes))]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us create a dataframe of the most negative and positive relations for easy visualization. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Absolute:\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" First Term | \n",
" Second Term | \n",
" Patents | \n",
" Publications | \n",
" Difference | \n",
"
\n",
" \n",
" \n",
" \n",
" biogas | \n",
" anaerobic digestion | \n",
" 20.0 | \n",
" 1889.0 | \n",
" 1869.0 | \n",
"
\n",
" \n",
" ethanol | \n",
" fermentation | \n",
" 883.0 | \n",
" 2169.0 | \n",
" 1286.0 | \n",
"
\n",
" \n",
" ethanol | \n",
" hydrolysis | \n",
" 432.0 | \n",
" 1569.0 | \n",
" 1137.0 | \n",
"
\n",
" \n",
" bioethanol | \n",
" fermentation | \n",
" 105.0 | \n",
" 1066.0 | \n",
" 961.0 | \n",
"
\n",
" \n",
" bio-oil | \n",
" pyrolysis | \n",
" 23.0 | \n",
" 942.0 | \n",
" 919.0 | \n",
"
\n",
" \n",
" bioethanol | \n",
" hydrolysis | \n",
" 66.0 | \n",
" 775.0 | \n",
" 709.0 | \n",
"
\n",
" \n",
" biodiesel | \n",
" transesterification | \n",
" 122.0 | \n",
" 826.0 | \n",
" 704.0 | \n",
"
\n",
" \n",
" waste | \n",
" biogas | \n",
" 59.0 | \n",
" 710.0 | \n",
" 651.0 | \n",
"
\n",
" \n",
" ethanol | \n",
" enzymatic hydrolysis | \n",
" 106.0 | \n",
" 755.0 | \n",
" 649.0 | \n",
"
\n",
" \n",
" biodiesel | \n",
" catalysis | \n",
" 20.0 | \n",
" 613.0 | \n",
" 593.0 | \n",
"
\n",
" \n",
" cellulose | \n",
" ethanol | \n",
" 194.0 | \n",
" 755.0 | \n",
" 561.0 | \n",
"
\n",
" \n",
" biogas | \n",
" hydrolysis | \n",
" 48.0 | \n",
" 567.0 | \n",
" 519.0 | \n",
"
\n",
" \n",
" ethanol | \n",
" catalysis | \n",
" 13.0 | \n",
" 529.0 | \n",
" 516.0 | \n",
"
\n",
" \n",
" waste | \n",
" anaerobic digestion | \n",
" 17.0 | \n",
" 510.0 | \n",
" 493.0 | \n",
"
\n",
" \n",
" sugar | \n",
" ethanol | \n",
" 269.0 | \n",
" 753.0 | \n",
" 484.0 | \n",
"
\n",
" \n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"term_Dataframe = pd.DataFrame(\n",
" {'First Term': [matrix_axis_names[e[0]] for e in Z],\n",
" 'Second Term': [matrix_axis_names[e[1]] for e in Z],\n",
" 'Patents': [patent_matrix[e[0], e[1]] for e in Z], \n",
" 'Publications': [publication_matrix[e[0], e[1]] for e in Z], \n",
" 'Difference': [no_duplicates[e[0], e[1]] for e in Z]\n",
" })\n",
"\n",
"term_Dataframe = term_Dataframe[['First Term', 'Second Term', 'Patents', 'Publications', 'Difference']]\n",
"term_Dataframe = term_Dataframe.sort_values('Difference', ascending=False).head(n=15)\n",
"print 'Absolute:'\n",
"display(HTML(term_Dataframe.to_html(index=False)))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Absolute:\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" First Term | \n",
" Second Term | \n",
" Patents | \n",
" Publications | \n",
" Difference | \n",
"
\n",
" \n",
" \n",
" \n",
" biogas | \n",
" anaerobic digestion | \n",
" 0.004362 | \n",
" 0.355543 | \n",
" 0.351181 | \n",
"
\n",
" \n",
" ethanol | \n",
" fermentation | \n",
" 0.192585 | \n",
" 0.408244 | \n",
" 0.215659 | \n",
"
\n",
" \n",
" ethanol | \n",
" hydrolysis | \n",
" 0.094220 | \n",
" 0.295313 | \n",
" 0.201093 | \n",
"
\n",
" \n",
" bioethanol | \n",
" fermentation | \n",
" 0.022901 | \n",
" 0.200640 | \n",
" 0.177739 | \n",
"
\n",
" \n",
" bio-oil | \n",
" pyrolysis | \n",
" 0.005016 | \n",
" 0.177301 | \n",
" 0.172285 | \n",
"
\n",
" \n",
" bioethanol | \n",
" hydrolysis | \n",
" 0.014395 | \n",
" 0.145869 | \n",
" 0.131474 | \n",
"
\n",
" \n",
" biodiesel | \n",
" transesterification | \n",
" 0.026609 | \n",
" 0.155468 | \n",
" 0.128859 | \n",
"
\n",
" \n",
" waste | \n",
" biogas | \n",
" 0.012868 | \n",
" 0.133634 | \n",
" 0.120766 | \n",
"
\n",
" \n",
" ethanol | \n",
" enzymatic hydrolysis | \n",
" 0.023119 | \n",
" 0.142104 | \n",
" 0.118985 | \n",
"
\n",
" \n",
" biodiesel | \n",
" catalysis | \n",
" 0.004362 | \n",
" 0.115377 | \n",
" 0.111015 | \n",
"
\n",
" \n",
" cellulose | \n",
" ethanol | \n",
" 0.042312 | \n",
" 0.142104 | \n",
" 0.099792 | \n",
"
\n",
" \n",
" ethanol | \n",
" catalysis | \n",
" 0.002835 | \n",
" 0.099567 | \n",
" 0.096732 | \n",
"
\n",
" \n",
" biogas | \n",
" hydrolysis | \n",
" 0.010469 | \n",
" 0.106719 | \n",
" 0.096250 | \n",
"
\n",
" \n",
" waste | \n",
" anaerobic digestion | \n",
" 0.003708 | \n",
" 0.095991 | \n",
" 0.092283 | \n",
"
\n",
" \n",
" cellulose | \n",
" fermentation | \n",
" 0.034242 | \n",
" 0.118577 | \n",
" 0.084335 | \n",
"
\n",
" \n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"total_patents = 4585\n",
"total_publications = 5313\n",
"\n",
"patent_matrix = patent_matrix / total_patents\n",
"publication_matrix = publication_matrix / total_publications\n",
"differences = patent_matrix - publication_matrix\n",
"\n",
"# list where all the values and indexes of matrix are stored\n",
"values = []\n",
"indexes = []\n",
"no_duplicates = np.abs(np.triu(differences, 1))\n",
"\n",
"# loop through the matrix\n",
"for row_n in range(differences.shape[0]):\n",
" for col_n in range(differences.shape[1]):\n",
" values.append(no_duplicates[row_n, col_n])\n",
" indexes.append((row_n, col_n))\n",
"\n",
"Z = [indexes for _,indexes in sorted(zip(values,indexes))]\n",
"\n",
"\n",
"term_Dataframe = pd.DataFrame(\n",
" {'First Term': [matrix_axis_names[e[0]] for e in Z],\n",
" 'Second Term': [matrix_axis_names[e[1]] for e in Z],\n",
" 'Patents': [patent_matrix[e[0], e[1]] for e in Z], \n",
" 'Publications': [publication_matrix[e[0], e[1]] for e in Z], \n",
" 'Difference': [no_duplicates[e[0], e[1]] for e in Z]\n",
" })\n",
"\n",
"term_Dataframe = term_Dataframe[['First Term', 'Second Term', 'Patents', 'Publications', 'Difference']]\n",
"term_Dataframe = term_Dataframe.sort_values('Difference', ascending=False).head(n=15)\n",
"print 'Absolute:'\n",
"display(HTML(term_Dataframe.to_html(index=False)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. Patents and Publication Matrixes: Chronological Evolution "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.1. Absolute Evolution "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start by creating a function that given a certain asset type and a timeline, returns the number of documents of that type for every year. "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def getTotalDocuments(assetType, startYear, endYear):\n",
" assetQuery = \"\"\"MATCH (a:Asset)\n",
" WHERE a.type=\"{}\"\n",
" AND toInteger(a.year)>={} AND toInteger(a.year)<={} \n",
" AND NOT a.year = \"Null\"\n",
" RETURN a.year, count(a)\n",
" ORDER BY a.year\"\"\".format(assetType, startYear, endYear)\n",
" \n",
" dataReturn = DataFrame(connection_to_graph.data(assetQuery)).as_matrix()\n",
" timeLine = np.arange(startYear, endYear + 1)\n",
" finalMatrix = np.transpose(np.vstack((timeLine, timeLine)))\n",
" \n",
" for i in range(finalMatrix.shape[0]):\n",
" finalMatrix[i, 1] = 0\n",
" for j in range(dataReturn.shape[0]):\n",
" if finalMatrix[i, 0] == int(dataReturn[j, 0]):\n",
" finalMatrix[i, 1] = dataReturn[j, 1]\n",
" \n",
" toReturn = {}\n",
" \n",
" toReturn['Years'] = finalMatrix[:, 0]\n",
" toReturn['Quantity'] = finalMatrix[:, 1]\n",
" \n",
" return toReturn "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now test the function"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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hyJ8guVfQaaq3lH7evebZHqTCVkREREREji1jMfzvVkgdAsf/Oug00qQbRMaq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\nsePmtjMOmAvc38/1DyuumR0JzMbvqycA55jZGcWO65x7APgDfh/2S/z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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# define data \n",
"startYear = 1990\n",
"endYear = 2017\n",
"patentTimeline = getTotalDocuments('PATENT', startYear, endYear)\n",
"publicationTimeline = getTotalDocuments('PUBLICATION', startYear, endYear)\n",
"title = 'Evolution of asset quantity over time'\n",
"x_label = 'Years'\n",
"y_label = 'Number of Records'\n",
"\n",
"# plot evolution\n",
"plt.subplots(1,1,figsize=(16, 5))\n",
"plt.subplot(111)\n",
"plt.plot(patentTimeline['Years'], patentTimeline['Quantity'], label='Patents')\n",
"plt.plot(publicationTimeline['Years'], publicationTimeline['Quantity'], label='Publications')\n",
"plt.legend()\n",
"plt.xticks(publicationTimeline['Years'])\n",
"plt.title('Evolution of asset quantity over time')\n",
"plt.xlabel('Years') \n",
"plt.ylabel('Number of Records') \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is a clear relationship between the volume of patents and publications. Moreover, the number of patents seems to be inferior on average to the number of publications. \n",
"\n",
"However, there is a period where the number of patents is superior to the number of publications. Particularly the period between 2005 and 2011."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.2. Comparing the chronological evolution of asset types "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A function that gives the chronological evolution of a certain asset. "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def getDocuments(processType, processTerm, assetType, startYear, endYear):\n",
" assetQuery = \"\"\"MATCH (a:Asset)-[:CONTAINS]->(fs:{})\n",
" WHERE fs.term = \"{}\" AND a.type=\"{}\"\n",
" AND toInteger(a.year)>={} AND toInteger(a.year)<={} \n",
" AND NOT a.year = \"Null\"\n",
" RETURN a.year, count(a)\n",
" ORDER BY a.year\"\"\".format(processType, processTerm, assetType, startYear, endYear)\n",
" \n",
" assetTotalQuery = \"\"\" MATCH (a:Asset)\n",
" WHERE a.type=\"{}\"\n",
" AND toInteger(a.year)>={} AND toInteger(a.year)<={}\n",
" AND NOT a.year = \"Null\"\n",
" RETURN a.year, count(a)\n",
" ORDER BY a.year\"\"\".format(assetType, startYear, endYear)\n",
" \n",
" dataReturn = DataFrame(connection_to_graph.data(assetQuery)).as_matrix()\n",
" dataNormReturn = DataFrame(connection_to_graph.data(assetTotalQuery)).as_matrix()\n",
" \n",
" timeLine = np.arange(startYear, endYear + 1)\n",
" finalMatrix = np.transpose(np.vstack((timeLine, timeLine, timeLine)))\n",
" \n",
" for i in range(finalMatrix.shape[0]):\n",
" finalMatrix[i, 1] = 0\n",
" finalMatrix[i, 2] = 0\n",
" for j in range(dataReturn.shape[0]):\n",
" if finalMatrix[i, 0] == int(dataReturn[j, 0]):\n",
" finalMatrix[i, 1] = dataReturn[j, 1]\n",
" \n",
" for k in range(dataNormReturn.shape[0]):\n",
" if finalMatrix[i, 0] == int(dataNormReturn[k, 0]):\n",
" finalMatrix[i, 2] = dataNormReturn[k, 1]\n",
" \n",
" toReturn = {}\n",
" \n",
" toReturn['Years'] = finalMatrix[:, 0]\n",
" toReturn['Quantity'] = finalMatrix[:, 1]\n",
" toReturn['NormQuantity'] = [finalMatrix[e, 1] / float(finalMatrix[e, 2]) if finalMatrix[e, 2] != 0 else 0 for e in range(finalMatrix.shape[0])]\n",
" \n",
" return toReturn "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2.2.1. Feedstocks "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then test the function for severall different values of Feedstocks, in this case, the ones that are more proiminent in the database. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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tGOOuGOODpZ8PAU8Ap53gkNcBX44xDsYYNwMbgcvKEawkTQfbDwwwkC9MySwt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\nzgG2uXnoN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E91oRKtI0r2ROTsq0x1OQCwY01PTysSiai6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\nH6/VgCSh8sBhTFmXZ1rhVHyq981SvW+WpBHSfvEcrRfOsvTYWyw99hb+3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OcAABFbSURB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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"feedstockList = ['waste', 'algae', 'cellulose', 'sugar', 'paper', 'wood', 'residues', 'corn']\n",
"\n",
"palette = plt.get_cmap('tab20')\n",
"plotCounter = 1\n",
"colorCounter = 0\n",
"plt.subplots(1,1,figsize=(30, 10))\n",
"\n",
"for term in feedstockList:\n",
" termPat = getDocuments('Feedstock', term, 'PATENT', 1990, 2017)\n",
" termPub = getDocuments('Feedstock', term, 'PUBLICATION', 1990, 2017)\n",
" plt.subplot(2,4, plotCounter)\n",
" plt.plot(termPat['Years'], termPat['Quantity'], label = 'Patents', color = palette(colorCounter))\n",
" plt.plot(termPub['Years'], termPub['Quantity'], label = 'Publications', color = palette(colorCounter + 1))\n",
" plt.xlim(1990,2017)\n",
" plt.ylim(-10,310)\n",
" plt.title(term.upper())\n",
" plt.legend()\n",
" plotCounter += 1\n",
" colorCounter += 2\n",
" \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It appears that the number of publications is on average, far superior to the number of patents. However, the behaviour of these assets appears to follow the behaviour of the general dataset.(e.g. Small period where patents are more important.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2.2.2. Outputs "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What about outputs as process variables? "
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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I6u4dtKglSZIkSZIkqeJZ1JKkCvDk3iwHjwxwyZmzWDJvcqYbHC5TLGRl+wan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\nOJ8+b7Zz2TOx4ss3iOevk3vD/lWvifQLZZrIYKtWq5w6dYonnniCOI6Zm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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"outputList = [\"ethanol\", \"biodiesel\", \"biogas\", \"bioethanol\", \"bio-oil\", \"gasoline\", \"methanol\", \"butanol\"]\n",
"\n",
"palette = plt.get_cmap('tab20')\n",
"plotCounter = 1\n",
"colorCounter = 0\n",
"plt.subplots(1,1,figsize=(30, 10))\n",
"\n",
"for term in outputList:\n",
" termPat = getDocuments('Output', term, 'PATENT', 1990, 2017)\n",
" termPub = getDocuments('Output', term, 'PUBLICATION', 1990, 2017)\n",
"\n",
" plt.subplot(2,4, plotCounter)\n",
" plt.plot(termPat['Years'], termPat['Quantity'], label = 'Patents', color = palette(colorCounter))\n",
" plt.plot(termPub['Years'], termPub['Quantity'] , label = 'Publications', color = palette(colorCounter + 1))\n",
" plt.xlim(1990,2017)\n",
" plt.ylim(-10,310)\n",
" plt.title(term.upper())\n",
" plt.legend()\n",
" plotCounter += 1\n",
" colorCounter += 2\n",
" \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The behaviour does not appear to differ greatly from the feedstocks. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2.2.3. Normalized Feedstocks "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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u7GmSpJnMmIKEEJLAx4BXARcDbwwhXDzNfr3Afwa+W+si9Wy58RJATaYWBOhI\nBtYuzbL3aI5CsVyTY0pSs7GnSZLagf1MktQu7GmSpNmYTQpyDfBkjPGpGOM48GngZ6bZ738AtwG5\nGtank8gVKmFTpkZBFlSmFyyVYc9Rf4SS2pY9TZLUDuxnkqR2YU+TJM0oxBhPvUMINwE3xBh/qXr9\nLcBPxBjfM2mf5wK/G2N8XQjhbuA3Y4wPTHOsdwDvAFi+fPlVd955Z83uSD0NDw/T09PT6DKeIZ/o\nYzS9hkX5J0nGp9e1mkutETiePpdAiUXjO2pU6ck14+M6nVapE6y1XhZ6rS996Uu/H2Nsi6kb7Gmt\n83xulTrBWuvFWmuvVeqE+tXaLj3NfubzuV6stT5apdZWqROstV36GdjTwOdzvbRKra1SJ1hrvSz0\nWmfb0zrmeqIQQgL4M+BtM+0bY/xL4C8BLrjggnj99dfP9fTz4u6776bZan1szwiP7BrmJS96AR3J\ncGL7XGt9Yu8ID+8c5qqfeBG9nXN+epxSMz6u02mVOsFa68VaFw57WvNolTrBWuvFWmuvVeqE1qq1\nGdnPmou11oe11l6r1AnWupDY05qLtdZeq9QJ1lov1jo7s5mXbg9w9qTra6vbJvQClwJ3hxC2A9cC\nX3DhxfrKF8p0JMMzQqxaOHtZlgDsODhW0+NKUpOwp0mS2oH9TJLULuxpkqQZzSbIuh/YGEI4J4SQ\nBm4GvjDxzRjjYIxxWYxxQ4xxA/Ad4MbphviqdnLjpZqujzUhm06ycnGGnYdzlGeYdlKSWpA9TZLU\nDuxnkqR2YU+TJM1oxiQkxlgE3gP8K/AocGeM8cchhD8IIdxY7wI1vVyhTLYOQRbA+uVZ8oUyBwbG\n63J8SWoUe5okqR3YzyRJ7cKeJkmajVktghRj/BLwpSnb3n+Sfa+fe1maSb5Qpq+rPmtYrerPkEkl\n2HlojNWLM3U5hyQ1ij1NktQO7GeSpHZhT5MkzaQ+Q3pUd7lCmWy6Pj++RCJw9rIs+47lyRfKdTmH\nJEmSJEmSJEnSTAyyWlCxFCmWIplUsm7nWL+8kxhh1+Gxup1DkiRJkiRJkiTpVAyyWlCuUAKo2xpZ\nAIu6Oljc3cGOQzlijHU7jyRJkiRJkiRJ0skYZLWgien+6jW14IT1Kzo5PlpkYKRY1/NIkiRJkiRJ\nkiRNxyCrBeXGq0FWHUdkAZy1NEsiwI5DTi8oSZIkSZIkSZLmn0FWC8pVR2Rl6hxkpTsSrFqcYf+x\nfF3PI0mSJEmSJEmSNB2DrBaUL5QJ1D/IAujt7GBsvEy57DpZkiRJkiRJkiRpfhlktaDceIlMKkEI\noe7n6s4kARgdL9X9XJIkSZLs2jxiAAAgAElEQVQkSZIkSZMZZLWgXKE8L6OxALomgqy8QZYkSZIk\nSZIkSZpfBlktKF8ok00bZEmSJEmSJEmSpPZmkNWCcuNlsvM0IqszkyAAo/nyvJxPkiRJkiRJkiRp\ngkFWi4kxki+UyaSS83K+RAh0ZhKM5ByRJUmSJEmSJEmS5pdBVovJF8pEmLepBaEyvaBTC0qSJEmS\nJEmSpPlmkNVi8oXKFH/zNbUgGGRJkiRJkiRJkqTGMMhqMbmJIGseR2R1Z5LkCmVK5Thv55QkSZIk\nSZIkSTLIajG58UqQlZnnEVmAo7IkSZIkSZIkSdK8MshqMSdGZKWS83ZOgyxJkiRJkiRJktQIBlkt\nJl8o0ZEMdCTDvJ2z2yBLkiRJkiRJkiQ1gEFWi8mNl+d1WkGorMcVAowYZEmSJEmSJEmSpHnU0egC\ndHpyhTLZeQ6yQgh0ZZKM5gyypGZ1ZGicrftGySWXkC/Mf+AtSZIkSZIkSfVgkNVicoUy/V3z/2Pr\nziSdWlBqQoVimR/vGmbbgTE6koFiaiVf+cEh1izJsGFFF8sWpQhh/qYilSRJkiRJkqRaMshqMflC\nmWx6/kdadGWS7B0pzPt5JZ3c3qM5Htw2RK5Q5jmrurj47G7+/Z7vsHz9pew8lGP3kTw92SQbVnay\nblmno7QkSZIkSZIktRyDrBZSLEWKpUgmlZz3c3dlkowXI8VSmY6kb4ZLjTQ2XuLBbUPsO5ZnUVcH\n117Qz+KeFADJOM7lGxZx8dm97DmaY/uBMR7eMcwjO4dZsyTLOSs7WdrrKC1JkiRJkiRJrcEgq4Xk\nCpWp/eZ7jSyArkzlnKP5Mou6DLKkRogxsu3AGD/eNUy5HLnk7B7OW91FIvHsUKojGVi/vJP1yzsZ\nHC2w/cAYuw7n2H0kR29nkg0rOlm3vJN0h7/PkiRJkiRJkpqXQVYLyRfKAA2ZWrA7UxkFNpIvsagB\na3RJC93x0SI/fOo4R4cLLO9Ls+mcXnqys/td7OtKccU5KS5Z18ueIzm2HRzjoR3D/HjnMGctzbJh\nhaO0JEmSJEmSJDUnE4kWkhuvBlkNGZFVCbJG86V5P7e0kJXKkcf2jPD43hFSycBVz1nE2cuyZxQ6\ndSQD61d0sn5FJ4MjBbYdrIzS2nV4YpRWF+uWZx2lJUmSJEmSJKlpGGS1kFx1RFamAUFWJpUgmTDI\nkubT4ePj/PCp4wznSpy9LMtl63tr9vvf151i0zkpLl3Xy+4jObYfGOWhHUP8eOcQZy2trKW1pMdR\nWpIkSZIkSZIayyCrheTGywQaE2SFEOjKJA2ypHkwXizz8I4hdhzK0ZVJ8oIL+1nZn6nLuTqSgQ0r\nOtmwopOBkepaWkcqo7QWdXawYWVnXc4rSZIkSZIkSbNhkNVC8oUSmVSiYSMkujJJRnIGWVK9xBjZ\ncyTPj3YMMV4os3F1Fxeu7aEjOT+/8/3dKTadm+LS9T3sPpJj24ExfrR9aF7OLUmSJEmSJEnTMchq\nIblCmWy6cWvXdGWSHB0qNOz8UjsbzZfYvO04BwbG6e/u4AUX9tPfnWpILR3JBBtWdLFhRRcDI/7O\nS5IkSZIkSWocg6wWkhtvfJBVKEUKxTKpjsbVIbWTGCNb94/yyK4RAC5b38NzVnU1zdpUjQrTJEmS\nJEmSJAkMslpKvlCmv7txP7LuTBKojBzpM8iS5mxgpMAPnzrOwEiRlf1pNp2ziK7q75kkSZIkSZIk\nySCrZcQYyRfKZNONe5N74g32kXyJPkdpSGdk4nf5yX2jPLlvlHQqwfPO6+OspZmmGYUlSZIkSZIk\nSc3CIKtF5AtlIpBJNXZqQaiMyJJ0auVyZDhfYnisyNBYiaGxIsO5yvVCKQKwfkUnl67rIe0IR0mS\nJEmSJEmalkFWi8gXygBkGxhkpTsCHYlgkCVNMl4sV0Kqalg1VA2rRnIl4qT9sukEvdkOzl6Wpaez\ng6W9KdefkiRJkiRJkqQZGGS1iNxEkJVuXJAVQqArm2QkX25YDVIjRGAkNzGq6pkjrCZCZoBEgO5s\nkkVdHZy1NEtPNklvZwc9nUlSSUddSZIkSZIkSdLpmlWQFUK4AfhzIAn8VYzxw1O+/8vAu4ESMAy8\nI8b4SI1rXdBy45U3yxs5tSBAVybhiCwtGIVime89MchA5gK+uvnwie2pjkBvZwer+tPVoKqD3s4k\nXZkkCde5anr2NElSO7CfSZLahT1NkjSTGYOsEEIS+BjwSmA3cH8I4QtTGsbfxxg/Xt3/RuDPgBvq\nUO+CdWJEVirZ0Dq6M0kODxaIMRJ8w15trFyOfPeJQQ4fHydTGuDi89fTk+2gt7Oj4YGyzpw9TZLU\nDuxnkqR2YU+TJM3GbN6NvQZ4Msb4VIxxHPg08DOTd4gxHp90tRuesTSMaiBfKNGRDHQkGxsedWWS\nFMuR8aI/YrWvGCM/3HacQ4PjXHnOIrqKB9iwootli9KGWK3PniZJagf2M0lSu7CnSZJmFGI89d/+\nEMJNwA0xxl+qXn8L8BMxxvdM2e/dwK8DaeBlMcYnpjnWO4B3ACxfvvyqO++8syZ3ot6Gh4fp6elp\nbA2psyiFDH3jT516vzrXOp7oYSR9Nr35bXTE3JyO1QyP62y0Sp1grbUyllxGLrWcbPEQncXDTV3r\nVPWo9aUvfen3Y4xX1/SgDWJPa+7fvclapU6w1nqx1tprlTqhfrW2S0+zn/l8rhdrrY9WqbVV6gRr\nbZd+BvY08PlcL61Sa6vUCdZaLwu91ln3tBjjKS/ATVTmp524/hbgo6fY/xeAv5npuOeff35sFXfd\ndVejS4j//vCR+O8PH5lxv3rXemx4PH7uvv1x9+GxOR+rGR7X2WiVOmO01lrYcXA0fu6+/fH+JwZi\nuVyOMTZvrdOpR63AA3GGv+mtcrGntc7zuVXqjNFa68Vaa69V6oyxfrW2S0+zn/l8rhdrrY9WqbVV\n6ozRWtuln0V7WozR53O9tEqtrVJnjNZaLwu91tn2tNnMkbUHOHvS9bXVbSfzaeC1sziuTkOuUCbb\nBFOadWUqa3SN5EsNrkSqvUOD4/zgqeMsW5Tiuecuch249mRPkyS1A/uZJKld2NMkSTOaTTJyP7Ax\nhHBOCCEN3Ax8YfIOIYSNk67+B+BZw3s1N/lCmWw62egySHckSCUDowZZajPHR4t89/EBerJJfuL8\nfhIJQ6w2ZU+TJLUD+5kkqV3Y0yRJM+qYaYcYYzGE8B7gX4EkcHuM8cchhD+gMuzrC8B7QgivAArA\nMeCt9Sx6oSmWIsVSJNMEI7KgMirLIKv5bDswylDqbPYezbF6ccbRRKchN17ivi3HSCQCL7hwMemO\n5vhdU+3Z0yRJ7cB+JklqF/Y0SdJszBhkAcQYvwR8acq290/6+j/XuC5NkitUQqNsujneXO/OJhka\nKza6DE0ykivxo+1DlBPdfPfxQbqzSc5b1cW65Z10JA20TqVYitz32AD5YpnrLl5yYvpMtS97miSp\nHdjPJEntwp4mSZpJcyQjOqXceBmgKdbIgqdHZFXWYlMz+NGOIUIILBrfyjUb+0h3JHhw+xBf+cEh\nfrxziLFxR9BNJ8bI/U8OMDBS5Hkb+1nck2p0SZIkSZIkSZKkSWY1IkuNlS80X5BVKjfPul0L3f5j\nefYfy3PJ2T3sfaLAWUuznLU0y5GhcZ7cN8rje0d5Yt8oa5dmOW91F/3dhjVQCbF+tH2I/cfGuWJD\nL6sXZxpdkiRJkiRJkiRpCoOsFpCbCLKaJDSamHptNF9qmpoWqlK5Esb0ZJOct7qLvZOWO13am2Zp\nb5qRXImt+0fZcWiMXYdzLOtNcd7qLlYt8HW0ntw/ylMHxjhvdRfnrupqdDmSJEmSJEmSpGkYZLWA\n3HiZAKQ7miN06D4RZJVZ0tvgYha4J/aOMJIv8cIL+0kkpn9+dGeTXL6hl4vWdrP90Bhb943ynQW+\njtaeIzke3jHMmiUZLl3X0+hyJEmSJEmSJEknYZDVAvKFEplUomlGz3RlKlMcjuRdd6mRRvMlHt87\nwpolGVb0zzwtXqojwcbV3TxnVRd7j+Z5cu8ID24f4pFdw5yzspNzV3XRuQBG2B0ZGueBJwdZ0pPi\n6vP6mub3SpIkSZIkSZL0bAZZLSBXKJNNN8f6WAAdyQTpjsCoQVZD/Wj7EACXrT+9YXGJEFi7NMtZ\nSzIcHS4sqHW0hnNFvvPYAJ3pJNde0E/yJKPYJEmSJEmSJEnNwSCrBeTGmyvIgsr0ggZZjXNgIM++\nY3kuPrvnxJplpyuEMGkdrSJb94+x42B1Ha1FKc5b3c2q/nTbjFjKF8rcu2UAgBdc2E8m1Vy/U5Ik\nSZIkSZKkZzPIagH5Qpn+7ub6UXVlkgyMFhtdxoJUKkce3D5UWeNqdVdNjtmd7eDyDb1cuLabHQfH\n2Lp/lO88NnBiHa3VSzItPe1gqRz5zuMDjOVLvOjixfR0NtfvkyRJkiRJkiRper6b2+RijNWpBZsr\nROjKJNl3LE+MsW1G7LSKJ/eNMpIr8YILaz81XrojwcY1k9bR2ldZR+vB7UP0ZJMs70uzfFGaZYvS\nLTOiKcbI958c5OhQgWs29rG0N93okiRJkiRJkiRJs2SQ1eTyhTIA2SYLDbqzScqxMu1h5xlObafT\nN5ov8dieYVYvzrCyP1O38yQSgbXLspy1NMPgaJFDg+McOj7OzkM5th0YA6Cvq4Nli9Is70uzrDdF\nqqO5nqMTfrxzmD1H81yyroezlmYbXY4kSZIkSZIk6TQYZDW5XDXIarbRLxPrMo3kSwZZ8+ihHUMA\nXL6hd17OF0KgvztFf3eKjWu6KZcjx0YKHD4+zqHBAtsOjLJ1/ygB6O9JsXxRiuV9aZb0pOlINn6k\n3rYDozyxb5RzVnaysUbTMEqSJEmSJEmS5o9BVpM7MSIr3ZxB1mi+1OBKFo6DA3n2Hs1z0druE4//\nfEskAkt70yztTXPBWZW1p44OFTh0vDJi64l9ozy+d5REgMU9qRNTES7pSZGo8TSIM9l/LM/mbUOs\n7E9z+YZep8CUJEmSJEmSpBZkkNXkcuPNObWgQdb8KpcjD24fojuTZOOa7kaXc0IyESphVV9l3ali\nqcyRocKJqQi37B5hCyMkE7C0txJqLe9L09dd3z89AyMFvvfEIP3dHVyzsY+EIZYkSZIkSZIktSSD\nrCb39NSCzTV9XzIRyKYSjBhkzYsn940ynCvx/Av6Sc7zyKbT0ZFMsLL/6fW7xotlDh8fPzEV4Y93\nDcMuKtMOptfxwJODdGWSdGUSdKWTdGaSdGWSc7qPo/kS924ZIN0ReP4F/XQkmysEliRJkiRJkiTN\nnkFWk8sXSnQkQ1OsNzRVVybpiKx5MJovsWXPCKsWZ1i1ONPock5LuiPBmiVZ1izJApAbL3H4eGUq\nwt37Rzh8fJyx6qjDyTKpBF3pxIlgqxJyJaqhV5JUMkw7VeB4scy9W45RKkdedMkSsunmCoAlSZIk\nSZIkSafHIGsG+UKZSONCpNx4uemmFZzQlUlydHi80WW0vYd3DBFj5PL1vY0uZc6y6SRrlyVZuyzL\n4M4fcP0LrqdcjoyNlxkbLzGar17Gy4zlSxwfLbL/WJ5yfOZxOhLhGcFWZ7oyqmvHwRzDuRIvuLCf\nRV3+eZPmRWGs8m+qs7F1SJIkSZIkqS35Tu8MvvXIUfIdqxp2/lyhTKaJg6w9R8qUY3QNojo5OJhn\nz9E8F63tpjvbnqOLEolAdzZ50vsXY2S8GCeFXCXG8uUT148OFygUn066nvucRazoa62Ra1JLe+gO\nCEm48u2NrkSSJEmSJEltyCDrFMaLZYbGSiQSjfuUea5Qpr+7OX9M3dkEERjLl9s2ZGmkcjny4LYh\nujNJNq7pbnQ5DRNCIJMKZFIJFvekpt2nWCozmi8TAvR2Nufvi9SWYhkGdkIiCTGCH2qQJEmSJElS\njTXnUJ8mMThSBKAc0hRLcYa96yM/Xiabas6QqCtTqct1surjyf2jDOdKXLahl2TCN4dPpSOZYFFX\nhyGWNN9GD0O5AMUcjB1rdDWSJEmSJElqQwZZpzAwWqh8EQLHJ76eR8VSmWI5NvXUgmCQVQ9j4yW2\n7B5hVX+a1YudJk9Skxra9/TXw3sbV4ckSZIkSZLaVnMmJE1icKRIsvoIDVRHZ82nXKEMQDbdnD+m\nrrRBVr08vGOIGCOXb+htdCmSdHJDeyvrY4VE5WtJkiRJkiSpxpozIWkSAyMFli9KE2KJwdHaBVl3\nPXaQX/jEd8gXTx0A5carQVaTjshKJAKd6QQjBlk1dWhwnN1H8py/ppvurFPlSWpiQ3uhZyV0LTfI\nkiRJkiRJUl00Z0LSBErlyPBYib7uFMlyjoGR2k0t+L//7XHu3XqE+7edej2RfKG5gyyoTC/oiKza\nKZcjD24/TlcmwflndTe6HEk6uRgrUwv2rqlcJk8zKEmSJEmSJNVI8yYkDTY4WiQC/d0dJGOO46NF\nyuU45+Nu3jXAg7sHAfj6lgOn3PfpqQWTcz5vvRhk1dbW/aMMjZW4fH0vyURodDmSdHL541AYgd7V\nlSArfxzGhxtdlSRJkiRJktqMQdZJDFZHYPV1VUZklSMM5+Ye2Hzq3u10p5Ncs2EJ39hykBhPHo7l\nxssEIN3RvIFGdybJ2HiZUg1CvoVubLzElt0jrOxPs2pxptHlSNKpTUwl2LumEmZN3iZJkiRJkiTV\niEHWSQyOFEklA12ZBB0xBzDn6QWPDOf55x/t46ar1vKaK1az48goTx0eOen++UKJTCpBCM0bZHVl\nKqPFxsYdlTVXD+8Yphwjl2/obeqfuSQB1dAqQE91RBY4vaAkSZIkSZJqziDrJAZGi/R1dxBCIBHH\nSQQYGCnO6Zifvn8X46Uyb3n+el564QoAvvHowZPunyuUyaab+0fUna0EWaM1GK22kB0+Ps7uIzk2\nrummJ9vR6HIkaWZD+6BrCXRkINUJ2cWOyJIkSZIkSVLNNXdK0iAxRo6PFujrSgEQgL6uDgZHz3xE\nVrFU5o7v7OCF5y3lvBW9rF3cxQUre/nGllMEWeNlMqnm/hFNjMgacZ2sM1YuRx7cNkRXOsH5a7ob\nXY4kzc7Q3qdHYkHla4MsSZIkSZIk1VhzpyQNMjRWolSG/u6nR8b0dacYHCmeck2rU/naowfZO5jj\nludvOLHtZRet4P7tRxkcmz4gyxXKZJs8yMqmE4QAowZZZ+ypA6McHyty2YZeOpJOKSipBRTGIHds\nSpC1GkaPQDHfuLokPVOpACOH4MjjsPt7rCs/BYcehfGTT20tSZIkSVKzcQ6zaUyMvOqbFGT1d3ew\n/WBkNF8+MZ3e6fjUfds5q7+Tl1enFAR4+YUr+H/v3sq3njjEqy9f84z9Y4zkC2Wy6dM/13xKhEBn\nOslovjzr24yOF/nrb2/nyJ4Ci3cNsHFlD13phflUzI2XeHT3CCv60qxenGl0OZI0OxNrYfWsfnpb\n7xogwvB+6F/fkLKkBaeYg9wAjB2r/Js7BmPVf3MDMD78jN3PBXjwicqVzqXQtw7618GiddCzEhLN\n/f9OSZIkSdLCtDDTgxkMjBRJBOidtFbRxDSDg6OF0w6ynjgwxL1bj/C+Gy6gI/n0CKsr1y2mvyvF\nN7YcfFaQlS9UgqFmH5EF0J1JntbUgn/wxUf49P27ALj94W8TApy9uIvzV/Zy4apezl/VywUrezl3\neTepZPPf/7l4eOcwpXLk8g29hOBoLEktYmIKwalTC058zyBLmrsYoTA6fUA1EVwVx555m0QHZPsq\na9Ytuwiy/dC5+MS/37rvAa7b9BwY3Fm5HH0C9v+wcttkGhatrYRbfWdX/k33zP/9liRJkiRpCoOs\naQyOFFnU1UEi8XSwsKir8lANjBRZs+T0jvep+3aQ7kjwhqvPfsb2ZCJw/fnLufuxQ5TKkeSk8+Wq\nQVazr5EF0JVJsH9gfFb7fvXH+/n0/bt450vO5dzyPvrWX8zjB4Z47MAQj+8f4q7HDlIqV6ZvTCUD\n5y7rqQZbPVywahEXrOxl7eLOZ/xsWtXh4+PsOpzj/DXd9Hb6qyiphQzthXQvZHqf3pZZBKlu18mS\nzlQxBwPb4dg2GNgGwwegNOX/V8l0JaTK9ldGUmUXVy6d/ZV/090QTv5/x1LogMXnVC5QCctyx54O\ntgZ3wo5vQqyOtO9cUg22qpeeVY7akiRJkiTNO989nyLGyMBogbOWZJ+xvSMZ6O1MMjgy/XpWJzOU\nK/C5H+zmNZevYWnPs6eOe9lFK/n85r1s3jXAVesXn9h+YkRWuhWCrCT5QvlZYdxUB4dy3Pq5h7hk\nzSJ+45UXcO89B7j+0lXccOmqE/vkiyWeOjTC4weG2LK/Em79cOcxvvjg02+MdqWTbFxZCbfOX9nL\nBasql+U9mZYZ1VSOkQe3D9GZTnDBWd2NLkeSTs/Q3meOxgIIobJOlkGWNDvjI5XgamBbJbwa2gdE\nCMnKyKg1V1dDqmpwle2HVFfld61WQqiEVZ1LYNWmyrbSeOX3eGBi1NZW2L+58r1EatKorerIrcmB\ndjMbOwpbv9boKiRJkiRJZ8Aga4qx8TKFYqSv69kPTX93isPHZzfyaMLnfrCHkfESb33B9NMsvWTj\ncpKJwF1bDj4jyMqNt87Ugl2ZyidzR/Olk44sijHy25/9ESP5In9+8ybSHdPfr0xHkotWL+Ki1Yv4\nmUnbh/NFHq+O2nrswBCP7R/iG1sOcucDu0/ss7grxTte/Bx+5frn1Oy+1cu2/WMcHy1yzcY+OpKt\nEb5JEgClAoweguUXP/t7vWtg57ehXHLUhjRVfujp0OrYNhg5UNme6KiEQue8rDJSqu/sysirRkmm\noX9D5QLVUVsDzxy1tfMeiNVppTsXw4rLYN2LmjPUyg/B9rtg9/dqGwJKkiRJkuaNQdYUEyOu+rqf\n/dD0dXWw63COfKE8qyn/Yoz8zX3bueLsfi5f2z/tPn1dKa5av5ivbznIb/7UBSe2Pz21YPO/ETix\nZthI7uRB1h3f3cldjx3i92+8hPNWnP6bHD2ZDp67bjHPXbf4GdsPD+crUxNWg63bvrKFS9Ys4sXn\nLz/9O1Jn5XLkwOA4uw6Nse9YnhV9adYsefYoPUlqaiMHKtOO9a5+9vd6V1fe3B45OP33pYUkN/D0\nNIHHtlcCYKgERX3rYdUVleBq0dpKmNWsQqiEVZ2LKzVDJdAe2gODuyr3cce3YNd9cNY1sOHFlalG\nG62Yq9S18x4oFysj3M55GfDBRlcmSZIkSTpNTfyquTEGRotAJWCaaiLcGhwpsKJ/5gDi208e4alD\nI/zZz19xyv1efuEK/ujLW9g7MMaa/k4A8oUSHcnQEqN1Jo/Ims7WQ8N88F8e4cXnL+eW508/Mu1M\nLevJsKwnwwues4w3XrOOGz96D79+54N85b9cx7JppnKcbzFGjg0X2XV4jN1HcowXI+mOwIYVnVxw\nVnfLTIUoSSdMTB04dWrByduG9hpkaWGJEUaPPD3iamAbjB2rfK8jWxndtObqSnDVu6b1RywmU0+P\n2lp/HYwehm13w+77YM93K/d1w0sq0yHOt1IBdn8Htt8NhVFYeRmc+0robr4POUmSJEmSZmdWQVYI\n4Qbgz4Ek8Fcxxg9P+f6vA78EFIFDwC/GGHfUuNZ5MThSpCebnDZA6u+uhFsDo8VZBVl/c992lnan\n+enLTv1m3suqQdY3thzkzddWgp7ceLklphWEyvSHiTB9kFUolfm1z2wmm0ryJzddXtfgJptK8pE3\nXsmNH/02v/kPD3L7W59H4hRrdtXTSK7IrsM5dh7OMZIrkQiwenGGs5d3srIv3bC6JC2snlYXQ3sh\nmamMzpiqa1llDZ2hvcBV816aNO9K4/DYP/P80o/g3q9WtqW6KwHP2S+sBFc9qyC0xv/pzljXMrjk\npsqIpx13w57vwZ77Yc1VsOH66f9e1Fq5BPt+CE99DfKDsGQjnPdTsOis+p+7QexnkqR2YU+TJM1k\nxiArhJAEPga8EtgN3B9C+EKM8ZFJu/0QuDrGOBpC+BXgj4E31KPgehsYKbC0d/p1CdIdCTrTiRPT\nD57KrqOjfP3RA/zK9c8hO8P0gOet6OHsJZ3cNTnIKrROkBVCoCuTnDbI+sjXn+BHuwf5+Jufy8pF\n2brXcuGqRfy3/3AR/+2ffsxf37ud//iic+p+zgnjxTJ7jlTCq6NDlefIskUpzl/TzVlLMqROsi6Y\npP+fvfMOb/K81//n1bQky/LeBtssAwbM3psQIIskZK+madO0TZN0N+1pzml6etrT/E572p60aZum\n2WkWIxsIew+D2dtgg/cekrXf3x+PbZYBD8my8fO5rvfSesdXsqxXeu7nvr/dR187pwWFhmLhKGlr\nYF7RCCdWQ0n31yWRdDeqHw78CyqPUqckED9kIkRmgCW+7/ZiMkfD0DsgfTYUbICi3VC8G5LGCEHL\nHBP4Y6oqVByCk6tEfGNEKgy/C6J7fs/UriDPZxKJRCK5XpDnNIlEIpG0h/Y4siYAJ1VVzQdQFOVf\nwG1A6wlFVdV1F6y/HXjwWjv1K5dH94Ual8dPk9vfZn+sFmwWPbV27zX39daOQgAemHjtKD1FUZib\nlcA7OwtpcvswGbQ4PX4ir1JHT8Ns1GK/RMjKLajmxXUnWTI2lQXZ3Rcx9eCk/mw8Ucl/f36UiRnR\nZKfYgnYsn1+ltNbF2QonpbUuVBWsJi3D0sJJiw1rjV2USCQ9hqCc0/oMqh8aSiFl/JXXsSZBSZ5Y\n93p3oUj6LqoKxz6ByiMw5FYOn3IRnzop1FX1HExRkLX4AkFrF5TsET220mcHLuav+hSc/ALqz4E5\nDkY+CHHD+oqQKM9nEolEEkBKnUXsqduGBg0mrQWz1oJJa8bUfCluWzAoBtkiIPDIc5pEIpFIromi\nqurVV1CUJcACVVW/1nz7IWCiqqpPXmH9/wNKVVW9rJOyoiiPA48DZA4ZMfbll/5ITzr9ezRmGg39\nCXcXovfbW+9vbGwkPKZyLcEAACAASURBVDwcgCZdLE5tLJGuYyi0/dq5fSrfW+9gSLSW74xunwvp\nQIWX/8l18cwYIznxOmqMgzH66jB7yzr0HC6stTux6xLxaK1Euk4A0ORVeW5LEwDPTzVh0l3+lw5m\nrQ1ulZ9vaSJMB7+YbMLYxvHby6V1qoBXMeHW2vBoI1AVLYrqxeCrw+CrQ6u6Qva+DtXfvzPIWoND\nMGqdPXt2rqqq4wK60xARrHNaXFzc2Pfeey94hQeQrrxHzGojE3xbOKrJplTTdlxXkv8sQ/yH2a6d\njlMxh6TO7kbWGhx6cq2p/jMM9B/jrJLOKe2QHl3rhYSqToPqIs1/mmT1LBr8lCuJFGgG4FCuXMvV\nag1X68j0nyBarcJJGGc0AyhTklHbIZ5fL+c0eT7r2Z8RlyJrDQ6y1sDTW+qEwNXqx09VZBHVtlK0\nPj06vw6v1oNP46WtH/aKqoj1fPrmS13r7Yvu8+vR+LUoKPI32jWQ57S++b/XHfSWWntLnSBrDRZ9\nvdb2ntMCavlRFOVBYBwws63HVVX9G/A3gIFDR6k546YSFd5znFkniu0cLGxkxuSxGC+I9Vu/fj2z\nZs0CoLjayY7jdYwcO/mKEYQf5J6j0bOP7986jikDYtt17EkeH385sJpKQwLTpg/n410VDMzox+CU\noR16DhfW2p0cK7Jz+Gwj06bPQKfV8KMP9lHlPMd735jMuPToNrcJdq0xAyp54OUdrKuL4Td3juz0\nflrqbGgSfa/OVjbhcPnRaiA1Ooy02DDibAY0Suh7MITq798ZZK3BoTfV2tPpyDltyJAham953bv0\nHinNg4OQNX4OWdYrOG3rz8HOw0wa1g8SskNTZzcjaw0OPbbW8kOwfxXEZ5M24j7SFE3PrfUSQl6n\nuxEKNpNwbhsJvjKIHy76arXxedJmrfYKyF8NZQdAb4b0RYSlTiJLqyere55Br0Sez0KPrDU49OVa\n3X4Xbr8Li9YaUHdQX3tNK11lrKv8jGpPJVnhI5gcPRuDRvRD96t+nP4mmnx2mnwOHM2XTT77Rdeb\n/A7qfVWobUx01qLFpLWgqwljQfYCdJrek7rTU5HntNAjaw08vaVOkLUGC1lr+2jPWbQISLvgdmrz\nfRehKMo84GfATFVVXe05eGWDu0cJWXUOLyaD5iIR61IiLaLeOru3TSFLVVVe23qGQfHhTM5sfx+A\nML2WaQNjWXuknB/fKH6KGw29J5LJ0hyhZ3f52JZfznu7z/Ht2QOuKGIFg8YmL/VN52Mf06PC+cG8\nLL44WMrHe0sY279zjcad2ijWHahqjZSMtxkYmhpGcrQRnbb3/I0kEgkQxHNan6ChBBSt6AF0JSwJ\nIlKwobhLQpZE0iOpK4SD74ItFYbfLeMzO4ohHAYtgP7ToXALnN0K5QdFHGDGHIi4wqQgZx2cXiv6\nbWl0Yt3+00EX/P6rPRh5PpNI+ij59uNsqPoCt9+FTtFj00Vi00cT2bzY9FFE6qNbBRnJ5fhVP3l1\nO8it3UqY1sSC+Dvob764t6JG0WBujhhsz/5c/iYcLeJWq+DloMFbR37EMVaUvs38+MVYdRHBelq9\nGXlOk/QO7I0ipqmXOGckkuuN9ghZu4BBiqJkIE4k9wL3X7iCoiijgb8irMDl7TqyqlJV72FQ97VO\nuia1dg8289VfEpNBg16nUOtou09W3tlaDhTV8cvbhnd4ZtScrHhWHS7jeGkjAGFXEdR6Gi29oEpq\nnDy7dD8jUmw8PXdwt9aw9VgtdufFfbqSLeF8deJAvC7YcbyuczvWJ2JQYUT/cFJjwggzyL5XEkkv\nJjjntL5CQzGEJ4DmKp+DWr3oVdNQ3H11SSTdgaMa8l4HoxVGPSze65LOYbDAwPlCjDq7RYhaFYch\nNkuIVLbmsSyPA85sEIKXqkLqRNFjy2gNbf09A3k+k0j6GF6/h2016zjcsI84QyJDwrOp89ZQ66mm\n0l3Gacfxi1xBZq0Fm+68sNWyWHU2NAGciOHxu2nyOZrdS47m6w6afE04fQ5cfifJYWkMtY5Cr2k7\n1aY7qXFXsb7yc8rdJQwwZzEtZh5hWlOX9qlRNM29tCzA5X0gP9mxnIrEApYWv868uFtIMV27l3of\nQ57TJL2DL1eDwwH33Aea3jNmK5FcL1xTyFJV1asoypPASkALvKKq6iFFUZ4Hdquq+hHwAhAOvN8s\n3hSqqnrr1far4KeqwY2qqj2iUabXp9LQ5CM5+uozOxVFIdKsp87uafPx17cVEG7UcfuY1A7XMDtL\nzHDPK6wj2mjqVUKWJUwMar676xxNHh+/vycHg6776ne4fNidPoakWEiJvnjmWUmdkyff3kNGrIXf\n3DkSnaZj77fdu3cyZ9LUQJYrkUhCRLDOaX0CVRWOrLh2RN5ak6H6ZPBrkly/HF9JXPluaBgK1oRQ\nVyMElbxXQfVDzleEs0jSdfQmyJwH/abB2W1QuAl2/RliBpHu88GWDeB1QWIODJgHpu5z+vd05PlM\nIulbVLsr+bLiY2o8lYyKGM/4qOlolYsnFvlUL/WeWmo91dR6aqjzVlPrqeaM4wROf1Preho0RLS6\nuKKaXVziuoraKkw1+R04fU0XCFPNty+47vQ78KptT/LVKjpMGjM6RUdB0yn21u1klG0cw62jQyJo\nqarKgfpcdtZuQqfomBt3CwMt3RNMG94UybTkGawqX86nZe8zMWomIyPG9YixsJ6APKdJegVuN5SV\nid/FJ47DEBlsLZF0N+0K6FVV9TPgs0vue+6C6/M6emAFP26vSoPTR4Qp9DnBLZF0kZZr12Kz6Mgv\ndeD3q2guEEUqGlx8ur+E+yf2I9zY8eeUEBHGiBQbp8obiU4z9Srnj0GnoKoq1Y1ufrZoKAPju3eA\np7LeDUBKtBGb5eIZ0jaLnifnDuSZd/MYtv0M372hY04xrdq2aCmRSHonwTin9Qlc9eCxt9nL5jKs\nyVC6F1wN0jkh6TgFW+HtexiOCod/C9GZ0G8K9J8M/SaL29058OP3wr43oakaxjwGlstnWku6iC4M\nMmZD2hQ4tx0KNpGu2iFyqHBuhSeGusIeiTyfSSTXP6qqcqRxH1ur12FQDCxKWEKaKaPNdbWKjihD\nLFGGy/t0O31N1HqqqfPUUNsscNV5ajjbdBo/F6Sa9Fc4Xrj7ivs3acyEaU2YtGai9bGt18M0ZnGp\nNWFqvq5T9K1CTanzHLm129hRs5F9dbsYGTGO4RGjuy3+sMFTx7rKzylxnaWfKZMZMTdi0XXvmEWk\nPprFSQ+yofJzttesp8JdysyYG3uES60nIM9pkh5PWakQsQwG2LMHBg2WriyJpJsJmYKkqH4Aqurd\nPULIanFY2czXjomJtOjwq9Dg9F60/ru7CnH7/Dw4qfM28TlZ8ZwocQBCHOotnKpopLzRyZCEiC49\n/85SWe9Gr1OIuEI05OLRKWw8XsGf1p5g6sBYJmTIGb0SiUTSIVqiAq3J1163ZZ3GEilkSTqGsx6W\nfgOi0tnb/+uMjvNB4TY49inkvSnWCU9sFrWaxa34YVePu+wKqgqHP4Da05B9D0S1PXgoCRA6I6TP\nhLTJbN/4JZNyFoW6IolEIgkZLp+TjVUryXccJzWsP7NjF2HupPgSpjWRqE0hMeziXoR+1U+jt14I\nW94ajp4+zKD0wdcUpjpKYlgqNyXeRZmrmD2129hZu4l99bsYETGWbOsYjNrg9DxUVZWjjQfYVr0W\nUJgZs4Ah4dkhc0IZNAbmxd3Kvvqd7KzZRI27kvnxi7HpO9fPWyKRdCPFxUK4mjYd1q6Bkydg8JBQ\nVyWR9ClCpiBVO/34VT/7CuuodjpJtJlIsBrRaUOjZtfavei1CmbjtY/fIl7V2c8LWV6fn7d2FDJ9\nUGyX3EhzsuIpqy4CekbkYntwe/08824eM9ITyUmLDEndlfUeYq2Gqx77+cXZ7Cms4Zl/7eXzp2e0\nS7SUSCQSSTMNxYAC4e1xZCWd3yame/slSno5X/wE6s/BV1dSd8oBU2fB1KfA74fKY8KtVbgNCrbB\noWViG6MN+k0Ubq3+UyB5tBBEAkH+aijdBwPmi3g7SfegNeBUzKGuQiKRSEJGqbOINRWf4PA1MjFq\nBqMiJgTld7ZG0RChjyRCHwlAVU0DOaMmBvw4LSQYk1mYcCcVrlJya7exu3YL++t2kx0xhhERY7vc\nq+pC7N5GNlatpLApn+SwNGbFLMSqtwVs/51FURRybBOJMcSzpuITlpa8wdzYm+lnzgx1aRKJ5GqU\nFENcHAwcBPvyYE+uuC5dWRJJtxEyIavBrbK/uJZ+URae+XAPABoF4q1hJNrCSI4MI8lmIsnWfBkZ\nRrLNRJzViLaDPY7aQ53dg82ia9eXQ6tJi1YjxK9+zekyXx4po6TOyfO3ZXepjhEpNlZZKql39Z44\nuz+sOc7BonoenzIIt0e99gYBpsnlw+7ykZl49S+94UYdf7h3NHf+ZSvPLtvPi/eP6TVioUQikYSc\nhhIwx7RPINCbICzqvItLImkPhz+CvLdgxg8hbQKcWn/+MY0G4oeKZfxj4r7aQiFoFW4VlydWift1\nYZAy7nwUYdqEzjkDi3bD6XWQPA7SZ3X12UkkEolEck38qp+8uh3srt1CuC6CW5PuI8HYDjd8LyPO\nmMiChNupdJWxp24be+q2caA+l+yIMYyMGNdlQetk4xE2V3+JV/UyJXoO2dae99s/zZTBHUkPsapi\nBZ+Xf8j4yGmMtk3qcXVKJBLA44GKChg5SkScjxkHq1fCqZMiYlAikXQLIROy+kdouHtCKseLHPzj\nkXGUN7goqW2iuM5JaZ2To6UNrDtaQZPHd9F2Wo1CgtVIUqRJCF7NQldyZBgZseEMSez4QIVfValz\neMlIaN/MT0VRiDDpqHOcF5te21pASqSJOVnxHT7+hWg0CkkRYZyrdeDx+dGHyKHWXnadqeYv609x\n97hUhiZZOVjYiNvrx6DrvrorG0R/rNiIa2dLj0qL5Ac3DuE3nx/l3V1nuXdCv2CXJ5FIJNcHDcVg\nS23/+tZkKWRJ2k9DGXz8NCTlwMwft2+byH5iGXWPuG2vPO/WKtwKm34Hqg8ULSSOEG6tzNkwcN61\nZ05WnYCjyyB6EGQt7t6eXBKJRCLpk9i9jayt/JRiZyEDLFlMj5mPsZt6SIWKWGMC8+MXU+UuZ0/t\ndvbWbReClnU0I23jMWk75s5t8jnYXPUl+Y5jxBuSmB23iEh9z20rEKGP5LbE+9lUtYpdtZupcJUy\nO25Rt/UOk0gk7aSsVCREJDdPLMjIgOho4coaMFC6siSSbiKkzalSosM4XuRgcFwEc4dePuNGVVXq\nmjyU1DkpqWuiuFZcltQ5Kal1cqioji8Pl+Hy+lu3eXZhFt+YOaBDdTQ2+fCrovdVe7FZ9BRVOVFV\nlRPljWzLr+InC7MC4hazGHXUONzkFtQwKTOmy/sLFg1OD999N4/UKDPP3TKcukYvAA6Xr3uFrHoP\neq2C7Qr9sS7l8emZbD5RyS8+Psy49OguRUFKJBJJn8DTBM4aSJ3Q/m2sSVBxGLyuwMW8Sa5PVBU+\nehI8Drjjb6DtZPSvJRaG3iIWAFcjnNvZLGxtg92vwPY/Q1wWTPseZN8J2ja+OzSWwv63wBIPI+8P\nXv8tiUQikUiaKXCcYn3l53hVb8j7OIWCGEM8N8TfSrW7kr1128mr38nBhr0Ms45ilG0CZq3lmvs4\n4zjJxsqVuPxOxkdOJ8c2AY3S8weX9Ro9s2MXEWdMZFv1OpYVv8n8+MVEGXruWJBE0ucoLhYT2xIS\nxW1FgbHjYPUqyD8lIgYlEknQCamQZTPr0GkVquo9pMVeLmQpikKk2UCk2cDQpIg296GqKjUOD8W1\nTfxlwyl+/flRIs167hnffqdNi7Mq0tL+gZNIi44z5SoOl5/Xt53BoNNw97i0dm9/JVRVBVWh0e1l\n7dHyHi1k/eLjwxTXNvH+E1MIN+rwNMcKOly+Dr2WXaWi3k1MRPsbz2o0Cr+7exQL/rCJp97Zy7Jv\nT8Gok4NUEolEckVanFXWDkTbWJMBFRpLIDI9GFVJrhdy/yliARf+FuIC2DDZGA4D5ogFwOuGIx8J\np9ayx2Hdr2DaMzDqftA3N5l31cPeV4X4mvOIiCmUSCQSiSRI+FQv26s3crAhl2h9HPPibunTAka0\nIZa5cTczxja51Z11qCFPCFoRE7DoLp+E6vK72Fa9lmONB4nWx3FT4l3EGLqWlNPdKIrCiIixxBji\n+bL8I5aVvMHs2EVkWGRkmUTSI2jpj2W4IAkqI1O4snJzIXOAdGVJJN1ASIUsRVGICde3RsN1dh/R\nFgPRFgO/vzuHRqeXZ5cewGbSsyC7HQ3pEb2uNAqEm9ovZtiahZqSWidL9xRx66hkoi3Xjra7Fi6P\ncJfFWg2sOVLGTxcN7fI+g8HnB0r4IPcc35kzkLH9owCwhInXz+7yXW3TgNLk9mF3+shI6FiGdnxE\nGC8sGcljr+3mvz8/xnO3DAtShYHF6fFR6/BQ43BTY3dTc8n1kwUuPqvch6qCiojN5ILrLferrdfF\nZduPietajYbpg2K5aWQSseHSVSGR9Ek6LWQ1byuFLMmVqDoFK38mIv/Gfz24x9IZYMQSGH4HHP8C\nNv0/+OS7sP6/Ycp3YPQDsP9N8DbBuG9AWGRw65FIJBJJn6bWU82aio+pdJeTbR3DxKiZ6DQhHaLp\nMUQZYpgTdxNjI6ewp247B+v3cLg+jyzrSHJsEwnXiZYSRU0FrK/8AruvgRzbRMZFTkGr9N7XMDks\njTuSH2Z1+QpWVaxgtHsS4yKn9gpnmURy3eLxQHk5jBh58f2KAmPGwper4XS+iBiUSCRBJeRn+JgI\nA2VnG3F5/Bj1XTs5G3QaXnpwLA/+YwdPvZPHK1/RM21Q7DW3q7N7iTDr0HTAut8SY7crvwaH28cj\nk9M7W/ZFOJuFrIHx4by24zQFVXb6x1zbRt+dlNU7eXbZAUam2nhq7nn7rF6roNMqOLpRyKqsb+6P\nZe24iDh3aAJfmZLOK1tOM31QLLO72N+sI6iqit3to8buptbhodrhprZZkKp2eMR1h6dZoGpex+6+\nrGfchVgMWvSKn+P1lSgKre9nRaH1toIQfxWF1usaBRSa72tdp3l9BRqcXr48Usbznxxm+qBYFuek\ncMOwBCzGkH98SCSS7qKhBIwRYOhAFKsxAvQWsa1E0hY+Lyx9HLQGWPzn7pvFqNFA1iIYshBOb4CN\n/w9W/RuU7AJbMgxb0jHRViKRSCSSDqCqKsfth9hc9SVaRcuN8beTbpYDoG1h00cxO3YhY22T2Vu3\ngyMN+zjSsJ8sazZl0SUcK9uFTRfFbYn3kxB2fZy7w3VWbk26l81Va9hbt50KVylz424mTNuxybsS\niSRAlJVd3B/rQjIyITIKcncLV1YfioSVSEJByEeiY6zC2VTd4CYpuuvxLSaDllceGc89f9vG42/s\n5u2vTyIn7cozalVVpdbuISWmY8fWahSsJi2nixoY3S+SEam2rpYOgNMthKwx/UXNa4+W8+jUjIDs\nOxD4/So/eH8fTo+P39+Tg157ftBJURTMRi0OZ3cKWR50WqVD/c0u5CcLs9ieX8UP3t/H509PJz4i\nuBFCVY0uXt9WwJvbC6iyX9mJaDPpiTLriTQbSIgIY0iilSizcB5GmvVEN0duRlnEdZtZj1GnZf36\n9cyaNSvgdR8rbWB5XhEf5RXzzLt5mPRa5g9PYHFOCtMGxV70PpBcX6w/Vh7qEiQ9gYZiCG+fy7kV\nRRF9slrcXBLJpWz6HyjaDUv+CREhGHxSFMicBRkzYfffoe40nFwPO9+A8Y/B5G9DeO+KJpJIJBJJ\nz8btd7GpajUn7UdIMqYyJ+7mVneR5MpE6COZGXsjYyInkVe3g6MNB/BH+Mm2jmFC1Az0mu5rbdAd\naBUdM2NvJN6YyOaqNSwreYP58Yt7XWSiRHJdUNLcHyuxjd/DGg2MHQtrvhSurMwB3V+fRNKHCLmQ\nFRWuR6NAZYMnIEIWgM2s5/WvTmDJS9v4yj938v43JjMooe0vh01uPx6f2uqw6ggun48okzFgbiw4\nHy2YHmtmQJylxwlZr287w6YTlfzn4mwGxF0+M99i1GLvViHLTYy1/f2xLiVMr+VP943mlv/bzPff\n38drj05Aown8DIrTlXZe3pTPB7nncHn9zM2KZ3xGdLMgpSfKYiDKbCDKrMdm0qPrYcLQkEQrP16Q\nxQ/nD2F3QQ3L84r4dH8JK/KKibYYuHlkErflpDCmX2Sfakp8vfPp/hKeeXdvqMuQhBqfBxwVENeJ\nCFZrMhRuAb8XZFSO5EKKcmHDf8OIuyH7jtDWUrhJiFj9Z0D2/aKH1pY/wI6XYMwjInYwsut9UK+K\nzwOlB+DsTji7Q1wqGhh+G2QvgaRRcoanRCKR9HIqXKV8WfExDd46xkVOZbRtkoyM6yBWnY3pMfMZ\nY5vM5h2bmTp1bqhLCipDraOI1sexqmIFy0veYmbMAgaG98z2ExLJdUtxMcTGXtwf60IyBwhHVu5u\n4dCS39klkqAR8lElrUYhKlxPVYMnoPuNjwjjzccmsuSlrTz0j5188M3JpEaZL1uv1i6O2xlHT965\nWobFRzInK7rL9bbQEi1o1GuZkxXPa1sLaHR5Ce8BMW4nyhr49edHmZMVzwMT+7W5jtmopbzOjaqq\nQRc0nG4fjU4f/eO7ZrEflGDluZuH89NlB3h5cz6PzwjcDIrcghr+vjGflYdL0Ws03D46ha/PyGBg\nfO+cdafRKEzIiGZCRjT/cctwNhyvYHleEe/uOsvr2wroF23mtpxkbstJYWB8ByLIJD2O93ad5SdL\n9zOmXxQnQ12MJLQ0loLq71zUmjUZVB/YK4Q7SyIBcDtEpKA1ERa9ENpayg7Aic8hfgQMvFGIR3f9\nE2b/DDb/Hnb/Qyyj7oVp34OYAH1HaKqBs7uaRasdQtjzOMRjtjToNxFcjbD9L7D1TxAzELLvFEvc\nkMDUIJFIJJJuQVVVqiNKWV6Si1lr4ZbEe0kKSw11Wb0ai86K0dM3ovYSwpK5M+khVld8zJrKTyh3\nlzApalaoy5JI+gZeL5SXQfaIK6+j0YheWWvXwOnTkJnZffVJJH2M0KsjiHjBEyUOvD4VnTZw4ke/\nGDOvPzaBu1/axkP/2Ml735hMnNV40Tp1di8AEeaOWdHPVjtYf6KMYfGRNLn8RAToO5TT40PX3Gtq\nTlYCf990ms0nKlmQnRiYA3QSt9fP0//Kw2LU8Zs7R1xRpDIbtfj8Km6vilEfXCGrsln8jIvoeH+s\nS7lvQhobj1fwwspjTM6M7VJUpN+vsvpIGX/fmM/ughpsJj3fmjWAR6akE28NbnRhd2LQabhhWAI3\nDEugwelh5aEyVuQV8eK6k/xp7UmyUyK4bVQKt+YkkxDkyEZJYHl5Uz7/+ekRZgyO468PjuXDb4W6\nIklIaelx1VkhC0S8oBSyJC2sfg6qTsLDH4HpyvHPQae2AA69B7b+MPwuIWK1EDsQFr8Is34CW/8I\ne16HvLdh2GKY/n1IzG7/cVQVqk41i1bbhduq4qh4TNFC0kgY8zCkTRSLLeX8to5qOPIxHPwANvxW\nuNgSsptFrTsgKj0gL4VEIpFIgkOTz866ys+piD5LunkgM2MWyF5Hkg5j1oVzc+LdbK9ez4H6XKrc\nMv5dIukWyq/SH+tCBgwUjqw9uyEjQ7qyJFfG7wefD7weIZQ2Lzpf96Wb9WZ6iJBl4Hixg5pGD3G2\nrosSF5KVGME/H53Agy/v4JFXdvKvb0wiIuy8aFXr8BIepu2wgPbmjgJK6psAqHN4SYg0XmOL9uFy\n+wnTi4GUcelRWMN0rD1aFnIh6/dfHudwST1/e2jsVcUYs1HU7nD5MOqDG5NQWe9Gp1WwdbI/1oUo\nisJv7hzBwj/U8tS/9vLJd6Zh6aALzunxsXRPES9vyie/0k5qlIl/v2UYd49L6/C+ehvWMD1Lxqay\nZGwq5fVOPt5fwoq8In712RH+6/MjTM6MYXFOCgtGJF70/yfpWaiqyu+/PMEf15xgYXYi/3tvDkad\nNtRlSUJNYzFojWCK6vi25hjQ6Jv7ZI0NeGmSXsiJL2HX32HStyFzZujqcFTCvjfAaINRD4H2Cuem\nyDThGpvxQ9j2Iuz6BxxaCoMXwPQfQNr4y7fxOKF473m31dkd4KgSj4XZhFg1YgmkTYKUMWCwXLlO\nczSMfUQsDaVwaDkc/BDW/EIsqeOFqDX8duFwk0gkEkmPodh5ljUVH+PyOYmv6s/8/otlDLuk02gV\nLVNj5hJnTGRj1apQlyOR9A2Kr9If60JaXFnr1sKZM0LMkvRO/H4hLnk8Fy/eC697r7Jc4/ErCFZT\nARoboH9/6J8OkZE9SxBVVaiuhrJSouyN4HZfOW4ziPSI0fUYqxg8qGxwB1zIAhjbP4qXHhrL117b\nxdde3c3rj00gTC8GZ+vsHmKsHTum0+Pj3V1nmT4oFpNBQ509cLGITs95IUuv1TBjcBzrjlXg96tB\n6d3UHnbkV/HShlPcOz6N+cOvPkhiMYrX1e7yERUeXMGipT+WJkD/2JFmA/97Tw73/X07//7RIf7f\nXaPatV2N3c0b2wt4besZquxuRqTY+NN9o1mYndjjel11B/ERYTw2LYPHpmVwqqKRFXnFrMgr4kcf\n7uffVhxkblY8t+Wk4HD6Ka5tQm3eTlVVVPX8flquq4j7L1rvonXOb6coou+Z2aDDbNBi1Gnkj8V2\n4verPP/JYV7deoa7xqby6ztG9Mn3r6QNGoqFs6oz/0uKRjixGooDX5ek9+GohhXfhrgsmPtc6Opw\n2yHvVUCF0V+5upDUQng83PALmPYM7Pw7bP8z/GMeZMyAKU8RW7EbVq4WolVxHvibvxtGDxCiV9oE\nIVzFDhY/dDuDNREmPSGWmgIhqB38EL74CXzxLKRPE6LWsNuEACaRSCQ9hO6Ine9J+FU/eXU72F27\nhQhdJAuT7uTgjPPtZAAAIABJREFUmSN96jWQBI/B4cOJ0sfydb4X6lIkkuufkmKIiQFjO8wLAwdB\nbq5wZaWn9ywRoi9SVUVSbQ3s33cFQcp78X1u93mxqSPodG0vej2YTBfcp7/yulotBbt3ke7xwI7t\nYomIgH7NolZSEmhDMMm8oQGKzjUvRdAkDD2jAF59BWLjRG1JyeKyPf8nXaRHCFl6nQabWUdVfWD7\nZF3IzMFx/O7uHJ76116+/dYeXnpoLH4/NLn9HXb0fLSvmFqHh4cnp6N4tdTaO/gmvwpOj/+ifl1z\ns+L5dH8JB4vrGJna/fE79U4P33tvH/2izfz85mHXXN/cLGQ5XMG1RLo8fhqafPSLDWwsw8TMGJ6c\nPZA/rj3J9EGx3JaTcsV1C6scvLw5n/d2n8Xp8TN7SByPzxjApMxo+SOlmQFx4XzvhsF8d94g8s7W\nsiKvmE/2F/P5wVKxwvq1QT2+ooBJr8Vs0DYLXFpMBh0mvQazQYfJoMWs12IyaJuv6zAZNJgMuovu\nP1TpQ3eiEkUBBUABBaX1tqJceL316Bc/3vxYy3YJEWGXRZ2GCq/Pz0+WHuCD3HN8dWoG/3bT0JAJ\n55IehuoXLpCUNlwn7cWaDCV7xb5kQ/O+i6rCJ88IZ9ID74E+RJGzPo9wYjnrYMxjYI7t2PamKJj5\nI5j0Lcj9p+hf9dYSskE4F5NHw+RvnY8JtHRw/+0lqj9M+65YKo4LQevgB+I1/uwHMGCOELWybgJj\n7+zLKZFIrg/y7cfZVr2WhQlLiDYE6TOxB+Hw2Vlb8SlFzgIGWoYyPWY+Bo0BOBLq0iTXEXHGhFCX\nIJFc/3i9UFYGw9sZKa7RwJgxsH4dFJyB9BC7sspKwWQWgkhforYWdu+CUycZAuJ1ACEE6fVCUNI3\nC00tYpO++T6d/vz9Fy4t9xv0lwtSARr/PXOmgPRZs6CxEQoLxHvoyGE4eEA4n1LThFsrrZ+oORg0\nNQkXYot4VV8v7jeZICVVLEmJ7Nu8mVFxcVBSIurbv0+sFxNzXtRKSg5KnT1CyAKIidBTUN4UVOfR\nLaOSqXd6+Nmyg/zog/38ZP5QgIuEo2uhqiqvbT3D4IRwJmVGc7TITkmNC6/PHxD3gsvtJyzyvMo6\na0g8igJrjpSHRMj65ceHKa138v4Tk9sVj6fXadDrFBzO4ApZlfVuAGID0B/rUp6aO4gtp6r4t2UH\nGdPv8iitvLO1/G3jKb44WIpWo7A4J4Wvz8hkcIIcKLoSiqIwul8Uo/tF8W83DWXrqSrW7chjyJAh\nrZ/5Ci0q0Xnx5/z1lv00r8fF54oWocivqjg9PhxuH00eH03uS697afL4aXJ7Kat3XraO2+u/8pPY\nvSOgr4lBp+HpuYN4fEYm+hA6n1xeH0+/k8cXh0r57rzBPDV3oBRiJedxVApnSWf6Y7VgTYZz26Gp\nRkQNSvom+9+Dwytg7r9DUvsczwFH9cPhD6CuAEbcB5Hpnd+XMRymfAfGfx1OrGLPiWLG3PQo6EIw\nQSFuMMx+VvTzKt3fLGothWXfAF0YDJovogwHze/+2iQSSZ/nSMM+Gn0NrCxfyu1JD13X/aGKmgpZ\nW/kJLr+LGTHzyQofKb9XSyQSSW+lvFzEwCV1oNfzoMGwJ1c4s/qnh86VVVgAX3wuxLWRo2D0GCHE\nXM80Noo+ZceOCtFq9Bi219YxaebMVtdTryA8HIYNF4vHIwSlggLxN80/JdZJSGyOIOwPUdGdf595\nPFBaAufOQXERVFaK+/V60Rcue4QQr6KiLjpGjSUcJkwUN7xe8b9SUiyWo0eEuAUQGQXJLY6tZLC0\nIwnlGvQYISvWaiC/tIlah5foIEbSPTCxP7UODy+sPMbA6AiSrRZs5vYfb09hLYeK6/nPxdkoikKk\nWbyEdQ5vhyMKL8Xr8+P1q63RggDRFgOj0yJZd6yc794wuEv77yibT1Tyfu45vjlrQJuCzpWwGLVB\nd2RV1rvRapQOiZDtRafV8L/35LDoj5uEgy9Lxe9XWXu0nL9tymfn6WqsYToenzGAR6emkxARolnl\nvRRdc2Smv1jPrAn9Ql3ORXh9fiFuXSJw7c7dQ07O6NZYQxF1KPIOL7yttt5ujj+88P5LHvsor5gX\nVh7jk/0lvLBkJNkptm5/vg63l2+8kcumE5U8d/MwvjpN5jhLLqElErBLQlbS+X1JIatvUlsoXEL9\nJsPUp0NXx5kNULYfBi6AhJGB2ac+DIbdSn35+tCIWBeiKEIkTBoFc/8Dzu0SotahZXDkIzCEMzRy\nDEQUCrdYzKDOxxxKJBJJO3D7XRQ7C0kNS6fEeZbVFStYlHAXWqWXDCa1E7/qZ2/ddnJrtxKhi2RR\n0hJiDPGhLksikUgkXaGk+bdwUgd+C2s0QjTasB4KC4XQ0N1UVcGXq4U7JjIK9u6B48dg0hQYMOD6\nizxsahLP8fAhMfA2PFv8DcxmnOvXd0vcXdDQ64WzLz1DPLfKSuHUKiiAnTvEYrWejyBMTr66YOf3\nC9GpJSqwrFTcp9EIcWz8BEhOgfj49v9O1OnEcZOb/098PqioaBa2SuDECTh8WDwWEXHesZWcDOHW\nDr8fe4yQ1dInq6reHVQhC+BbswZQY3dTUusk3mLCqG//j/g3tp3BatRx+2gROWeziFrr7F0Xspwe\n4QYxGi6uZ+7QBF5YeYzyeifx3SSaNLl9/HTZATJiLTw9d1CHtjUbtdQ7Ahe32BaV9R7RHytI7r20\naDP/dfsIvvPOXl5yaflN3kZOljeSEmni5zcP457xaYS3w6Em6V3otBqsWg3WsIs/g+rztUzICGy/\nkRuHJ3LLwVJ+vuIgt724ha9Nz+C78wa39u8LNnVNHr766i72Ftbw2yUjuXtcWrccV9LLaCgBRQuW\nLgzGWBJEpGBDMSSMCFxtkt6B3w/LvincULe/BJoQDV42lED+GiFg9Z8Rmhq6E40G+k0Uy43/BQWb\n4eCHRB1YDh9tFOuYoiB1QnP/romQMqZ9/cIkEomknRQ2ncaPn7GRk6n3DmNd5WdsrV7L9JgbQl1a\nwBBRgp9Q5CxkkGUY02NuQK/p/ubnEolEIgkwxcUQE9txIaTVlbUb+vXrXuHI4YAvPgO9ARYsBEuz\nu2fLZlizGo4cginThMjV23G7RaTd/n3CFTRoMIwbL4SdIKGqKn67HW14eNCOcUUUBeLixDJuPNgb\nhVhacEa40A4dFMJXaqoQtfr1gzAT1FQL0ercOSEueZrbOsXGwoiRkJICiUmBc+xptZCYKJbRiPGA\nqkohahUXw5nTol4Q7rMWYaud9JiR+DCDFkuYlqoGDx2TTTqOoij87KahvL25mKNl9by21cUjU9Kv\nuV1Fg4tPD5Tw4KT+rTF7JoOI0qsNgHDjdAshK+wSYW1OVjwvrDzGumPl3DO+exws//vlcQqrHbzz\n9UkdHlg3G7WU1riC1tTX5fFT3+QlNTa4Hxy3jEpm04kK3tt9jmFJGv5wbw6LRiSFNAZOcn2xIDuR\nyZkx/NdnR/jrhnxWHSrj13eMYFJmcL9UVDa6ePgfOzlR3sCL949h4YgOWOUlfYuGYghP6Jr4oNUL\nIazF3SXpW2x/UYgot70IUemhqcHvhUPvg94EQ269/mYhXgutDjJnQeYstlrvYNaIVDi7QyyFO+DE\nSrGeooWkkc39vSZA2iSwXblXqERyPeL2udFr9DIOLkAUOE4SpjETb0wmMSyVancl++p3Eq2PZXjE\n6FCX12WKmgpYW/kpLr+LmTELGBKeLd87Eomkx+B3udD0ZjdKKPH5hFtl6LCOb9sca8fGDXC2ULhl\nugOvF1Z+Dk4n3LpYiFggRII77hSRbzt3wIfvC9fSuPG9063k9Qr31d494rlmZAonUVT7k8Q6gt/h\nwL59O43r1tO4cSPesjKi7r+P+O9/H00AovI6jSVcvD+HDhOvSVERFJ4Rbq3Tp8U6RiO4XOJ6hA0G\nDhJCV3IKhHVTuphGA3HxYhk5SjjLqqvPRxGeOwsnjrd7dz1GyALhygqmAHIhPj+Y9TqMBoV//+gQ\nkWY9t+Vc/cf6v3YW4vGpPDTp/IeQiBfUU2f3dLkml6dtISsr0UqSLYy1R7tHyDpYVMfLm09z7/g0\nJg/o+IC6xajFr4rnE2YI/MzryoaW/ljBz3f91e0jGGGs4sGbp8kfJZKgYDPr+e8lI7k1J5lnlx7g\n3r9t5/6J/fjJwiwiwgL/Hi+qbeKhl3dQXNfEy4+MZ+bguIAfQ3KdoKpCfIrrxJf3S7EmQdXJru9H\n0rsoOwRrnoesmyHngdDVcXodNJbAyIek40hRIHaQWEY/KO5zVMO53XB2O5zdCbmvwY6XxGMRqecd\nW/0mQkK2EKclkuuQWmcti5Yu4ofjf8jtg24PdTm9Hp/qo9CRT4ZlMBpF/L6dEDWdGk8VW6rXEKmP\nJsUUgsilAOBX/eyp3UZu3VYi9dEsSriLGIP8Ti2RSHoO9atWUfzDH9H/9dcwjQpRf9reTEt/rORO\nTuoaPOS8KyutG1xZqgrr1oq65y8Qrp0L0WiEMytzAOzaKdw7J0+IPkdDsnpH3LjfL5w8ubvBbheC\nzISJQiAJMO6zZ2lcv4HGDRtw7NyJ6najsViwTJmCNtJGzTv/onHjJpJ+9SssEycE/PgdRqc73zNr\nmiriJQvOQH29EDJTUoPqVOsQiiIcgTExogeXqkJtLTzxrXZt3qOErFirgcIKJw1NPiLMwS2tJfru\nngmp7C2q5vvv7SMiTM/srLb/ATw+P2/tKGTG4Dgy4y52AtksOvJLHfj9apei7lqiBS8VfxRFYU5W\nPMv2FuHy+jDqghfL4/X5+fGH+4kyG3h24dBO7cNsFPXZXb6gCFlV9W60GoiyBH8gRa/VkGbVSBFL\nEnSmDoxl5TMz+N3qY/xj82nWHinnPxdnM29YQsCOkV/RyIMv76DB5eXNxyYyLj2wcYmS6wxXHXgc\nXeuP1YI1GUr2gqsBjD3kC5QkuHhdsPRxCLPBLX8InQuqvgjOrIfE0RAfAFH2esQcDYPniwXA54HS\nA0LUOrtDXB5aKh7TmyFl7HnHVuo4sb1Ech2wpnANDZ4Glp9cLoWsAFDiPItbdZFuHth6n0bRMDfu\nJpaXvM3qio+4PelBbPrgzKAOFg5vI2sqP6VYRglKJJIeTN2y5aguF0Xf/wEZy5ai7SmD2L2F1v5Y\nnUyvaXFlbdooHCdpQTYl7N4F+adg4iTIuErv87AwmD5DuHi2bBKuscOHYdo00SOpJ6KqcOoU7N4J\ndXWif9PsuSISL1CH8Hhw5O6hcYMQr9z5+QAY0tOJuu8+wmfNxDx2LIpBnO9tixdT/OxPKXzkEaIe\nfJD4730XjdkcsHq6hKKI2MDY2FBX0j4UpUNuuh4lucY0O2yqmh03waTOIRxUsVYjf3t4LEOTInji\nzVx2naluc/3Vh8sorXfy8KTLZ41FWnT4VWho6lq8oNPtQwEMussHe+YOjcfh9rEjv+36AsUrW05z\nqLie528bjs3cOaGoRchyuHyBLK2VinoP0VZD0PpjSSShwmTQ8rObhrHsW1OJNOv52uu7+c47e6ls\ndHV534eL67n7r9twef386/FJUsSSXJuGEnEZCCErvHkfMl6w77DuV1B2EG79P7CE6Et0a6SgBYbc\nEpoaeiNaveiXNekJuOuf8L1D8N1DsOQVGPMwuBth8//C23fBbzPg/ybA3rdCXbVE0mVWFawCYG/5\nXsrsZSGupvdzxnESnaInNezi388GjZEF8UIo/KJ8GS5/17/ndhfnms7wQfFrlLuKmRmzgNmxi6SI\nJZFIehy+hgbsmzdjnjQJT0kJpb94HlVVQ11W76K4GKJjuha/NiRL9ADK3S3EmGBx/Jhwf2Vlwaic\n9m0TGyviB+fMFX21li8Tji6HI3h1dhRVhcIC+PAD0d9Lq4UbF8DiOwIiYnmrqqhdtpxzTz/D8clT\nKPzKV6h58030iYkk/PRZBqz8ggFffE7Csz/BMnlyq4gFYB47lszly4h66CFq3nyT/MW349i9u8s1\nSa5Nj3JkWYxajHoNVQ0eMgJnQmiTWrsXvVbBbNSgKFpefXQ8d/11G199dRfvPj6ZYckRF63/2tYz\npEaZ2nRs2ZqdQXUOb+v1zuD0+DHq23b/TM6MxajTsPZoOTOCFAVWWOXgd6uPc8OwBBZmd16JPy9k\n+QNVWitur596h5dhaX08GkhyXTMqLZKPnpzGSxtO8ae1J9h8ooLnbhnG4pyUTrkDcwuqefSfuwg3\n6njjaxMZEBeCxpSS3kdDMaBAeABmZlmbZ7I1lEDskK7vT9KzObMFtvwRxn4FhiwIXR35a8BeBjmP\niP5Yks5jSxVL9p3ittsORXuEY+vop7DiW2I2Xc79oa1TIukkNc4adpTsYE7aHNaeXcuXhV/ywNAQ\nRqL2clRVpcBxklRTf3Say38fR+gjuSHuNj4re581FR+zIP6O1vjBnohf9ZNbu5U9dduI1Mdwc9w9\nRBt6yUxniUTS52hcuxbV4yH+madp3LqVyj/+Ccu0qUQuXhzq0noHLf2xsjqXUtWKVgs5o2HzJig6\nB6lpganvQkpKYMN6SE6GaTM6loKhKDBoMKRnCCFs/z44nQ9jx4nIN+3FCVvOI0eofv0NonN3U7px\nE+YJEzBPGI8uOgiTpEtKYOd2KC0VkXiz58LAgV2KQFT9fpyHj9C4YT2NGzbiPHAAVBVdXBwRCxcQ\nPnMmlsmT2933SmM2k/izn2KdN4+Sn/2MgoceJvrhh4l75mk0JvnbM1j0KCFLURRirXoq67vBkWX3\nYLPoWgeFY8KNvPnYRJb8ZSsPv7KTD56YTHqsePOebfCz43Q1zy7MQtuGC8gapkWrEeJYvy5oTKKn\nVNv/lCaDlqkDY1lztIx/v2VYwKPuVFXlp8sOoNNo+OVtXWtSq9MqGPUa7EFwZLW8N2Kscuab5PrG\noNPw1NxBLMxO5Mcf7ue77+5jRV4xv7p9BCmR7T8pbjpRweOv55JoC+PNr03s0LaSPk5DMZhjQBeA\nBrB6E5iipCOrL+Csh2VPQFQ6zP9V6OqoOwtnNkDSWIjNCl0d1ysGC2RMF8vkJ+Gde2DFt8X/+nAZ\nySbpfawtXItP9fHEqCc423iWVWdWSSGrC1S6y2n0NTDONO2K66SY+jE1ei6bqlezo2Yjk6NndV+B\nHcDubWRt5ScUO88yODybadFzpQtLIpH0aOq/WIkuKYmwUaMIGzECx9ZtlD3/S8yjR2Po3zt7E3Yr\nFRXg9UJSAJJJsobC3j3ClZWSGti49bo6WPWFEHrmL7hMeGo3er2IJMzKgq1bYPs2OHoEpk5DTUqm\nccMGql99DcfOnSgmE2pqKrXLl1Pz9tsAGAcNxDx+ghC2xo9DFxPT+edUWQm7dkBhIZjNMG26eA07\n+dwUp5P6VatEZODGjfgqKkFRCBs5gtjvPEn4zJmEDevaGLtl4gQyVyyn/H/+h+rXXqNx/XqSfv1r\nzGNGd3qfkivTo4QsgJgIA0XVLhwuX6uzJ9D4VZU6h5fMxIvzK5MjTbzxtYnc9dI2HvzHDj54YgqJ\ntjDWFnow6jTcPa5t9VxRFCLMeursni7V5XRfWcgCmJMVz9qj5ZyqaGRgfGDzbT/cU8Tmk5X8cnE2\nibYuWGebMRs0QYkWrKz3iP5Y4bLRuKRvMCjByvtPTOH1bWd4YeUx5v9uAz9emMWDE/tfM17zi4Ol\nPPXOXjLjLLzx2ETirAEQJCR9h4ZisAUwyzs8GRqlkHXd8/mPof4cfHUlGEPk/vR54PAHYIyAwTeF\npoa+hD4M7n0b3rgDPvya6KM1+MZQVyWRdIhVBatIs6aRFZ3F/P7z+XPenymzl5FgCXJMyHXKGccJ\nFBT6mTOvut6wiByqPZXsr99FtCGWIeHZ3VRh+zjXdIa1FZ/iUT3Mil3Y4+qTSCSSS2mJFYx64AEx\nOK/VkvzCb8lffDtF3/8B6W+/dVFEmqQNutof60K0WsgZI/pRFRcJMSsQuFzwxWcifm/hTWAMwFiP\nLVLsq+AM6ubNKJ9+gr2omLIvVqFaLMT/8AdELlnCpr17mTl1Ks7Dh7Hv3Ilj566LhC3DwAFYJrQI\nW+OvLWypKtTWQG4unDopnsvESTA8W4hs7UB1u3GfPYsrPx93/mnc+fm4Tp8m7tAhinw+NFYrlmlT\nCZ85k/AZMwLuItNYLCQ+9xzW+fMp+enPKHjgAaIffZS4p76DpivxlJLL6HlClvV8nyyzMTjOgcYm\nH34VbObLn/6AuHBee3QC9/19Ow+/soOXHx7PlmIvi0enEmW58od9pFnHuSonqqp2Wsl1evxEXkWg\naYk1XHu0PKBCVmWji//89DDj+kfxwITADFqaw7TUNnatZ1hbVNa7iQ43tOmMk0iuV7QahUenZjBv\naAI/XXaA51Yc4qO8Yn5z50gGxrc9UPxB7jl+9ME+ctIi+edXJnS6552kj+JxgLMWUicFbp/WZKg4\nBF5XYFxekp7H4RWw722Y8UNImxC6OvK/BHs5jH5URgp2FwYLPPAevH4bvPsQPPA+ZM4MdVUSSbto\niRX8yvCvoCgK89Pn82LeizJesAuccZwk0ZiCSXvtxueTo2dT46liY+UqbLooEsMC17y9s/hVP7tr\nt7C3bjtR+lhuibuFKBklKJFIegEtsYIRC85PKtInJZH0y+cpeuppKv74R+J/8IMQVtgLKC6GqCgI\nVDxcVtbFrqyu4vPB6pVQXw833QI2W9f32YynqIjqf71H3dKlRA4eROzkiQz42qOQMxpl9JhWYUnR\n6zGNGoVp1Cj4+tdRPZ6LhK265SuoefsdUBRMw4dhHTsG0+AhGFOS0aoq2O1gb4RGOzjs4PeDTgej\nx4g+X1cQ5rw1NbhPnxeqWkQr97lz4nVpRpeQgCEjA8ecOQx96EHMo0ejtFMU6wqWSZPI+Ogjyl94\ngepXXqFx/XqSf/1f4nWSBIQeJ2TZzDp0WoXKeg9pscEZfKhtdk5FXqGf1YhUG39/eByP/HMnN/1p\nE24fPDw5/ar7tFl0nC5Xcbh8WMI6/rKqqiqiBfVXdmSlRJrISrSy5kg5j88Y0OFjXInnPz6Mw+Xj\n13eMuKbDo72YjVqKq11dEvYuxe31U+fwMjRV9seS9E3Sos28/tUJLN1TxPOfHGbRHzbx9LxBPD4j\nE732/GfHq1tO8x8fH2bawFj++tBYLMYe91Ev6ek0lIhLawBmobXQsq/GEohMD9x+JT2DhlL4+BlI\nyoGZPw5dHbUFULAJUsZDzODQ1dEXCbPBg0vh1ZvgnfvgoWXQb2Koq5JIrklLrOCN6WLQL9OWyaCo\nQTJesJPUe2qp9lQwOWpWu9bXKlpuiLuVZSVvsqp8ObcnP4RVF3HtDYOE3dvImoqPKXGdY0j4CKZG\nz0XfRp8viUQi6YlcGCt4IRHz52O/+26qXv4HlilTsEyZEqIK20BVxdKF/kcBw+eD0hIYEsBocp0O\ncnJEbF9xESR3YcKGqsKWzVBUBLNmi95YXURVVZr25lH92ms0rF4NikLEjfOxPvwwmoEDYcc2IcSd\nOA6Tp4gaQMQv2u1gt6PYGzGpfkzDhkK/NNQF80X0ocdN64hwZTlUluP3+vCjgiUcTUK8OEZ4OGRk\ngtmM6vXiKShodVe5TufjPn0Gd34+vpqa1roVvR5DejrGrCysCxdgzMzEkJGJISMdbbiY8H16/Xos\nE7p3gqU23ELSL/4D6w03UPLzn3PmvvuJeeyrxD75JJpAOOf6OD1udFNRFGKseqoagtcnq87hRaNA\nuOnK0YWTB8Twf/eN5ptv7WFgpIbslKsr3C2iWK3D2ykhy+XxA1xVyAKYOzSelzbkU+fwBMRhse5o\nOR/tK+aZeYMYlBA4l5fFqEVVocntD1hEZFWDECBjI6QNWtJ3URSFO8emMmNwHP/x8SFeWHmMT/aX\n8Ns7R5KdEsFHp9wsPXGYG4cn8Mf7RmPUBSeiVXKd09LLyhqAXPAWWvZVXyyFrOsNVYUVTwon3x1/\nB22IBvxaIgXDbDBoUWhq6OuYo+Gh5fDPhfDWEnjkY0jOCXVVEslVWXlmZWusYAvz+wtXlowX7Dhn\nHCcB6G8e2O5twrQmFsTfwfKSN1lZvozbEu/r9j5UqqpS0HSSDZWr8KoeZscuYnD48G6tQSKRSLrC\nZbGCl5Dw7E9w5OZS9OMfk7liRcDj1TpN7m44fgzuua/zfZ4CRWVl4PpjXcjQYZC3VzzXrghZB/bD\nkcOQM7rLYpvq8VC/chXVr72G88ABNBERxHz1UaIeeAD9hbGKc2+AocOFgLZ6FRP1eig8A07n5Ts1\nGMBiQbGEQ0wMWCwQHo4aFoartAzHwYM07ttL0+5c/A6H2GTAAEyjc/DX1eM6nY+noBDVc751jzY6\nGkNmBtZ58zBkCqHKmJmJPiUFJdTvl6sQPm0qmR+toPy3v6Xq7y/TsG4dyb/+DaYRMqa4K/Q4IQsg\nxmqgrLYRl8eP8RrCTmeotXuwmXVoruEUmj88kQ+/OYVTB/dcc58RZh0KUGf3ktKJc4GzWcgyXqVH\nFog+WS+uO8XGExXcMqprH6x2l5d/W36QQfHhfHNW4BxeQKt4FcheZ5X1bjSK7I8lkQDEWY28eP8Y\nbh1Vys+XH+S2FzczKTOGrac83DEmhd/eORKdtgfMaJL0ThqKRX8hQwB7HBkjQG85L5JJrh92vwIn\nV8PCFyAuhC6oU6vAUQmjHwOdzCIPGdYEeOQjeGUhvHE7PPoZxA8NdVUSSZvUOGvYWbqTR7MfvWjQ\nT8YLdp6CppNE62Ox6aM6tF2UIYa5cbfwefmHrKv8nBvibg1Ysse1qHFXsbV6LeecZ4jWxzIv7lai\nDF1oVi+RSCQhoK1YwQvRmEyk/M//48xdd1Py7E9Jfekv3fY5e0V8Pvj/7N13eBT11sDx72zPbpJN\nJQVIgUBAUBQEKQoBkSYqdhR778q9YkevDXu7Yrl6FcWC8noRFZEuqICCCColQCChpZG+2c1m27x/\nTDYChmQaw+opAAAgAElEQVQ32ZLA7/M8PAnZKWeTTWZnzpxztm6BujrYuxcyM8Mbj3c+VmoAO5OA\nUpXV72RYu0ZpXdiaSqqCfGX9zG4wqPVdD9xVVVTO/T8qP/kEV0kJuowMkh6dTsykSaiMR2kJnJoK\nF14E27ZSu2kjEWlpYIpUElWNH01KIqsJEmDI7IZhyBDibrwR2eXCvnUrtnXrsK5bR+3SZahjY9F1\n60ZUTo5SWdUtE31mJuqYmFY/13BTR0WR8uSTDdVZj1IweTLxN95Awm23oRKz6lqlnSay/pqTlRoX\n2AsRsiwryaZ437Z7ctcYqna1fDFYrZKIjFA3ti30l93hW0XWyV1jiTVqWZFb2uZE1otLtlNYXccX\ntwwJeNXGoYmsQCmrcRAXpRXzsQThEGP7JDO4WzzPfreNOev2MTpNw4sX9QtYm1DhOGUpCmxbQQBJ\nUqqyaosCu10hvEpzYckj0H0UDLwhfHFUFcDe1dDlNIj3vQpACBJzF7j6KyWZNfs8uPY7iA/sTVOC\nEAjetoJj0scc9nXRXrB17O46iuz7OdncugtsacZuDI7N4efKlWyoWsOpscMCHOHh6t12fq1awxbL\nb2glHUNiR9In+hTUUvu9w1sQBOFoahYtRpP697aChzL06kWnadMomTGDyo8/Ie7KK0IYYRP27VWS\nWJIE23PDn8gqLISYWIhoecaj307oc0hV1rn+rVtWBsuXQWIijBylfL/8VL97NxWzZ1M9/ytkux3j\nkMEkP/4vIocPR/KlraNKBX36suVgGTlntG0WrqTREHHSSUScdBLxN4TxHDJEIocPp9s3X1PyzLOU\nv/0fald8T8ozM4joIyq//dUub9ePjdSikv5qJRdIdQ4PTreM2Rj4HF6MSUu11dWqdf9qLdj8m2a1\nSmJkdidWbi/F7ZFbtS+AjXsr+WBNAVcOTmdAeuDLib2JLGuAEllOl4cqq4uEKJGxFoQjmSO0PHPB\nSWycfhZXnKAXSSyhbdxOsB0MbFtBr6gUqC0BT+uOlUI7U1OktI/TRcJ5b4Svr73bAVu+AEMMZI0P\nTwzC38V1g6u+Un7fZ58HVfvCHZEg/E1TbQW9xqSP4bfS3yixloQhso5pb90uZGQy/GgreKSTok+l\nZ2RfNlSvYZd1ewCj+4tH9rDV8jufHfgvmy0b6BV5IpO73MBJ5lNFEksQhA7J21YweszYFqusYq+8\ngsgRIyh94QXs24Pzd9Zn23PBaIQTT4K9e6Ch3VxYeDzKfKwAzJ1qkkajtAQsPABFftzcabXCooWg\n18PY8aD1vUuVLMvUrl7N3ptuYveEs6me9yXRZ08g86uvSJ81i6icHN+SWEKbqaOjSX1mBl3efgt3\nZSUFl07m4OszkR3BG610LGqXr1a1SiI2Ukt5TeB/mN6KqRhT4BNZZpMGu9PTmJTyR2NrQR9aKY7s\n1YlKm5NN+ypbXLYpDpeHB+f9SVKUgWljs1u1jZaoVRIGrSpgFVliPpYgtCzWJH4/hACoLQbZE6RE\nVirIbrCWBn7bQmjZa+CTi8FWAVPmQnSQTvh8kbcY6srhhItAIwbotiudesGVXyqvl9nngqU43BEJ\nQiNvW8GxGU1f9BuToVRpLdu7LNShdVgFtjxM6kgSdcmt3oYkSQyPP4skfSoryxZysD6wicRC+z7m\nFX3Ej+VLiNHGc2HKVQxPGEuEOgh33wuCIIRIS20FDyVJEinPzEBljubAP/6Jp64uBBE2wWaDPXug\nR0/o3VuZu7sjjIm1sjJwOgM/H+tQvU+AiAilKssXTics/g7q62H8BKV9nw9kWaZq/nzyzz2Xfdff\ngH3rNhLuvIOs71eQ+vTTGLLD2A7+OBeVk0O3Bd9gPnsCZW+8Qf6lk7Hn5oY7rA6jXSayQJmTVWVz\n4XK3vuqoKd6KqWhj4OcsxTRsszXtBe1ONxq1hEbdciXF8J6JqFUSy7e17kLgOz/sIrfYwpOT+hJl\nCN68KaNBjc0emETWwYb5WHFRYj6WIAhCUFka7g4LViILxJysjs7lgM+vgIPb4JLZkHpK+GKp3A37\n1kDXIUoFkND+pPSDK74ASwnMngTW8nBHJAgALN+7vMm2gl6HthcUWubyuNhXV0C6MavNM1fUkoYx\nnSZhUEWwuPRLbK7aNsdncdWwtPRrvin+jHp3HaMTz+Hc5Mkk6JPavG1BEIRwq/luUYttBQ+liYsj\n9dlncezaRcmzzwU5uqPYuUNJXmX3Utr5JSXD9u3K18Kh8IDyMVgVWaBUU53UDw7sh+IWbvCSZfh+\nORw8CGeeBfEJPu3CsXcve6+5lqIHHgS1hpRnniFrxXISb78dTbyY/9geqM1mUp97ji5vzMR18CD5\nF11M5Ny5OPbvD3do7V67TWQlRGuRZaioDWxVVpXNSVSE2qeEkb/MDVVerWkvWO/wtDgfq3E/EVoG\nZsSyItf/RNaug7X8e0UeZ5+YwlknBPdNu0mvDlxFVo2D2EgxH0sQBCHoLIWgMYDBvyHtPjHGg1on\nElkdmccDX90O+avgnH9Dj9Hhi8VVD1u/gIg4yBoXvjiElnUdBJd/BpX58PH5YK8Od0SCwJKCJUdt\nK+gl2gv67oB9Dy7Z2aa2gocyqk2M7XQ+9R47iw/Ox9XKtsROj5Nfq1Yz98B77KnbxQDzUC7pfD3d\nTb3anHA7Vjg9TnZX7WZJwRJWW1ZTahOV84LQkbgtFqyrV/vUVvBQkcOGEXf9dVR9/jk1S0J804Ys\nK20Fk5IgtuG8s1cvqKqE0jAdc4uKICZGaXUYTH36gsHQclXWul8gPx+GDIWMjBY3K7vdlM/6gN3n\nnod9yxaSn3iczC/nEXP+JFQ60b2nPYo680y6ffM15nPPxbhyFbvGjGXfHXdgXbcOOVwJ3XYu8P31\nAiQuUqm8Ka9x0skcuDYx1VYX8UGas6TTqDDqVFTZWlOR5XsiC2BUr07MWJjLgao6OsdE+LSOxyPz\n4Lw/MWhUPHbuCX7H6C+jXs0+hwePR27TzB7vfKyenX0roRUEQRDawFIIkSmtGiDbIkmlbNviR09w\noX1Z/jj8ORdGPQKnTAlvLHmLoK4KBtyoJEiF9i1zOFzyEXx2udKW8sovQSfe2wnh4W0reG3fa5u9\n6DcmYwxvbHqDZXuXMaV3mP/mtXMFtjy0ko5UQ9eAbTNBn8TIhPEsPfg1P5YvISdhvM8XaWVZZrdt\nOz9XrKLWXUM3YzaD43KI0kQHLL6OxiN7OGA5wM6qneRV5TX+K6guwOn56xrG5//3OYNSBjGx20RG\np40mUhcZxqibVmItYXvddkzFJrQqLWpJjUalQa1SPmokjfL/hq97/zUuJ6lFIlM4ZvjTVvBIne6+\nG9sv6yia/igRJ56INiUlCBE24WApVFbC8BF/fa1bd1j9k1KVldT6FrWt4p2P1T0wN2M0S6uFfifD\nLz9DSYmSzDtSbi5s2qi0IjzxpBY3Wb9zJ4WPPIL99z+IHDmS5H89hrap7QrtjiY2ltQZT5M3cCC9\nCgqo+vxz9i5bjr5XL+Kuuorosyeg0ov2+V7tNpGl1agwGzWNs5ECod7poc7haaycCgazSduqiiy7\n00OsH3GN6pXEjIW5rMgt5crB6T6t89n6fazLr+D5C0+iU5TB7xj9ZdQrg3LrHB5MhtYPzS23OJFR\nqvQEQRCEIJI9yoyszoOCt4+oFCjaqOxLareF4UJTfnkHVr8KA66FM+4NbywVebD/Z0gbBrGZ4Y1F\n8F3PMXDRe/B/18Ccy+DyuaAN/ntSQThSS20FvbztBRcXLBaJrGbIssweWx5pEd1QS4E91+5mymaA\ncygbqtYQp0ugn7nl9yhl9SWsqVhBUf1+4rWJjEyc3KoEmyzLyMjIsowHD8jgwYNH9vztMVk+4nPv\nY7IyC7vOU4dH9qAKwXsfWZYpthazs2onu6p2NSasdlftxu62Ny6XakolKzaL0zufTo+YHnSP6c7v\nG36nslMlC3YvYPrq6Tz181PkdM1hYreJDEsdhlYdnnNyWZbZVrGNlftWsnLfSrZVbFMeWNz6bR6a\n1PImuvRqPaelnMaEzAkMSh6EWtX66xiCECr+thU8lKTT0fnFF9h9wYUU3nc/aR/MQlKH4HWfmwsa\nzeGJI51OSWbl7VSqkLQh/HtTXg4OR3DbCh6qT1/4fZNSlTXh7MMfKyyEH1dBly4w7PRmbzCVHQ7K\n3n2Xsrf/gzoyktSXXiR6wgSRqO+APLExdDr/HhJuvYXqb76hcvZsih56iNIXXyR28mRiL5uMJjEx\n3GGGnU/vMiVJGge8BqiB/8qy/OwRjw8HXgVOAibLsvxFIIJLiNZSUFrX5ooer+qGSqmYICayYkwa\niirrcbk9aNS+v0m1OzzoY3w/WHRPNJEeb2TFthKfElklNXae+W4bQ7rFc/GpXXzeT1uYGhJZtnp3\nmxJZZRYHkgRxkeJua0EQ2i5cx7QOwVYGHmdw5mN5RaUqCYi6CjD61udbaAe2fg3f3QfZE2DCi8Gp\n2POVyw5b/6e8fro3fxFaaIdOOA8mvQVf3gz/dzVc+jGE6cJoRyeOZ623pGAJaVFpzbYV9BqbPpaZ\nm2ZSYi0hySTubm5KSX0hdR5bwNoKHmmAeSiVjnJ+rlxFjDaedGP3Jperc9tYX/kTubV/oFcZOCN+\nDL0iT/QpeWR1WnlszWMs37P8sGRUIN0/+34idZFEaaOI0kUpn+uiDv9/M49F66LRHVKBLMsyZXVl\njYmqXVW7GpNXVqe1cblOEZ3oHtOdi7MvbkxYdY/pjkn796rYUl0pl518Gbf2u5U/yv7g293fsih/\nEYsLFmPWmxmXMY6J3SbSL7Ff0C+U1rvr+aXoF1btW8XK/SsptZUiIdEvsR93978bzwEP/fr1w+Vx\n4ZbdOD1O3B43btmNy+NS/sku3B534zLerzd+Ljf8v2GZakc1S/csZX7efOIN8YzNGMv4zPEheb7H\nO3FMax13TQ3W1auJnTKl1a9RXUYGydOnU/Tgg5S/8w4Jt94a4CiP4HTCrjzI7KYkrw6V3Qt2bIf8\n3dAzO7hxHKqoofV9SogSWd5ZWet+ObyVYnUVLFkE0dEwegw0k1Ss+3MzRQ8/TP2OHUSffTZJDz+E\nJi4uBMELwaQyGIi9+GJiLroI288/U/HhbMrefJOyd9/FPGE8sVddRUSfPuEOM2xazOhIkqQG3gDO\nAvYD6yVJ+lqW5a2HLLYXuAYI6O258VE6dhXXUWV1ERfV9hPcqoZKKbMxeCfLZpOy7Wqb7y0MXW4P\nbo/sV2tBSZIYmd2JOev2UudwE6FrPlH02FdbcLg8zLjgxJC9ATPqledjrXfTlpxxWY2T2EhtUOaa\nCYJwfAnnMa1D8M6uig5yIguU9oIikdUx7FkL/7sBupwKF74H6jAX9O/8TpmxdOrNoqVgR9VvMjis\n8O0/YN6NyutK3PXuF3E8az1f2wp6jckYw8xNM0V7wWYU2PJQoaJrRHAqZCVJIidhPDXFlSw/uIDz\nU6YQq/vrPYRbdrPVsolfq1bj8jjpG92fAeah6NW+VXzuq9nHXd/fRX51Phf1vIhoXTQqSYUkSahQ\nPkpIjV9r/BypxcdUkgoZmT9y/yCpaxIWh4VaZy01jhpqHbUU1Rax07mTGkcNVqe1sYLraHQqnZLg\n0kVRWV9Jdf1fMwdj9bFkxWZxbvdzyYrJIismi+4x3THrza36nvdL7Ee/xH5MGziNtYVrWbB7AV/l\nfcXn2z+nS2QXJnSbwNndzqabuZvf2z+a8rpyftj/Ayv3rWRt0VrqXHVEaCIYmjqUnK45nNH5DOIj\n4gFYWb6S01JOC9i+vewuOz8e+JHv8r/jix1f8Gnup3SO7My4jHGMzxxPz9ieIqkVYOKY1noWb1vB\n8W2bF2uedB7Wn37i4Mw3MA4ejPGUUwIUYRMK8pXqp15N3EySkqIkcbbnhjaRVXgAzGYwhbDtdWNV\n1gaIMILdDt8tVG4YHDcBjtJOzmO3c/D116mY9QGaxES6vPkmUaNGhi5uISQkScI0ZAimIUNwFBRQ\n8fEnVM2bR/VXXxNx6gDirryKqDNHIWlCe27usdmUGXdh4suzHQTkybK8G0CSpM+A84DGA4osywUN\njzX/rstP8Q3Jq3KLIyCJrGqriwidCr0fCSN/mY2axn35msiyO5Vvm0HnX1xn9u7EB2sKWLOrjDN7\nH/3uwEWbi1m0pZj7xmWTmRC6P8re5Jqt3t3qbbjcHqpqnWI+liAIgRK2Y1qHYCkElQaMQSxZj0xS\nWgpaCiHpxODtRwiMg9thzmQwd4HLPgddkIcft6R8BxxYB+nDIca31spCOzXwenDWwZKHQWuEc2eC\nSrQb9YM4nrWSr20FvTLNmaK9YAv22PJINXT1OXHUGlqVlrGdzmde4UcsKp3H+SlXArCvLp81Fd9T\n5SyniyGDoXGjiNXF+7zdNYVrmLZqGgBvjX6LIalDghJ/YmEiOafkNLuMLMvYXDYsDkvjv0OTXod+\nbnFYiNRFNiassmKyGhM8gaZVaRneZTjDuwzH6rSyfO9yFuxawH///C/v/PEOfeL7MLHbRMZljiMh\nwr+blGRZZlfVLlbuV1oG/nHwD2RkkoxJnNv9XHK65jAweSB6dejmgxg0Bs5KP4uz0s+i1lHLin0r\nWJi/kA+2fMB7m9+ju7k74zPHMz5zPGnRaSGL6xgnjmmtZFm0WGkreFLLc5SaI0kSyf96jLpNmyi8\ndxqZ879EHRUVoCiPkJurJKuaqn6SJKUqa/06qKlRlgs2jweKipS2hqGk0ylVWevXEZ2WDksXg8UC\nE89VkmpNsK1fT9Ej03Hs2UPMxRfT6b5pwfs5Ce2GLiOD5EceJvGuO6n63zwqP/6YA3ffjTY1ldgp\nU4i5+CLUAf5dcddacezKoz4vj/odO6nfuZP6vDxcpaUkxMZSmJODaehQTEMGo0kI3Q3KktxCFk2S\npIuAcbIs39Dw/yuB02RZvqOJZT8AFhytxFeSpJuAmwASExMHzJ07t8UAq3XdUMsOIp37W1w2WNuq\nra0lMtK3AacyUK3vgdZdi8nl2zB7pxRBrT6DSMdetB5ryyt41/PI3LncxuBUDdf00TcZq80p89BP\ndUTpJB4bYkATgBaN/qjWZ6Hx2DA5C//2mC/fV6fKRK0uze/vTSD58/MPNxFrcBzvsY4cOXKDLMun\nBnSjYRLuY1p70NxrpJ97PRrZxQZNcC7ieJ3qWk29ZOBP9YCjLnO8/94Fiz+x6uor6P/b/ag89fzW\n/3nsEaEdunxkrBrZyanuNbhRs0E9BI/Ufip4OsproD3GmV7wGZkFcziQOoGdPW5qbFsZrFiPlWOa\nOJ61/jXyRskblLvKmZ463eeqikVVi/i2+lue7PwkMZoYv/fZHn/3jlTvqeebqm8wuU2MSxjn8/em\nXltHQefNdCpPI9YS/NaLdfpa9iXnYqiPRHbI2KNr0Tr1dKpIw1RnRsK3uGVZ5nvL98yvnE+yNpkb\nE28kURu8G3k6wmsA/Iuz2lXNBtsGfrX+yj7HPiQkehl6MdA0kJOMJ6FXNZ18cstu8ux5/Fn3J5vr\nNlPuKgegq64rJ0acSF9jX7pou7T4Ggz199TitrDJtokN1g3sqt8FQJoujQGmAQwwDsCsOXrlmzhH\na544prXuNSLZbCTedz+2nBHUXnRRQOLQ7t5N7IsvUd+/P9XXX9dkO/G2vJ4NTgeDd+8iPz6BPQlN\n/83VO50M3p3HnvgECo6yjK98iTXSbufUPflsTUmlNNr/Cta2ULvdDN6dhyTLaGSZbcmplDSRxJLq\n6oj8cj7GH37AlZBAzRVTcDZV0RYCHeV4BsdwrB4P+t//wLhiBbqdO/Ho9dgHn4Zt5EjcyX6eszsc\naIpL0BQWoikqVD4eKERdUdG4iKzV4kpJxpWaijsxEfbsxZiXh8pmA8DZuTOO3r1w9OqFo0ePo1YT\nNsfXY1pI689kWX4HeAcgOztbzsnJaXGd33ZVU1hZz4ihI9pUvu1yy3yzvpSenePo3dW/3t0rV67E\nl1i9ftpWidNlIOdE38pgD5TbWbezmkGnnux328MRB37lj/3VjBihfH+OjPXhL/+kxrGX2TcO5aQu\n/p90tdWPWyrwYGREn55/e8yX7+uWvRZ2FtkYOezUsLUW9PfnH04i1uAQsQpNac0xrT046mtEluGH\nHyCxLzknNPF4IG0pJbI8j5zhR99PR3otH5Ox2mvggwngscK13zI4NYjtRY7ib7Fu+QKK6mHgrQw3\ndw15PM3pKK+BdhmnPAKWJtJ5zb/pnNkDRj8OTbynFYLnmDueNaPSXsnOuTu5tu+1jOzvexue9Op0\nvp3/LdbOVib1nuRnpO30d+8QBdUFTF05lTxLHgA6nY5HhzyKVtXyuemm6l8oqISz+o0nUhOCO+eB\nHbUZfF/2HZJOxWmxwzkxegBqyfdLG/Xuep5Y+wRfV37N6LTRPH360xi1wa04bu+vAS9/4zyP8wDY\nXbWbBbsX8O3ub5ldPpuI6ghGdh3JxG4TGZI6BKvTyo8HfmTVvlX8VPgTtc5a9Go9p6WcxoguIxjR\nZYTfM+jC8T09h3MAKLYWsyh/EQvzF/JlxZfMr5zPqcmnMj5zPGelnUWM4fBrLx3l538sOJ6OaVXz\n51PkctHnxhuJ6NcvMIHk5FDmcHDw1dfIvOACYi44PyCxNvp1PQCZY8eR2Vwl0bf1ZFRVkjFiRJtm\n8/oU6x+/w558Thh1JieEI+kRY1a+L/0H0HvgIHof8XDtDz9Q9PwLuEpKiLvmGhLvuhOVMXxdMjrS\n37NjOtZRo2DqPdi3baNi9kfULFiAcdUPmEYMJ+7KqzANG3pYHkV2OHDs2UP9zp3Yd+7E0VBp5di3\nT6lKBNBq0Wdmoh88GH3PHuh79ECflYW2SxekQ+a1rVy5klPPOAP71m1Y167FunYNdT/8iLxsOWi1\nGPv1wzRsKKYhQzD07RvQ9oe+bOkAcOjVgi4NXwuJ+Cgdew7asdS5iTa2/onX2JwAmE3Bz93FGDXs\nKrbh8ciofKiAsjsaWgtq/b+z+MxeSSzeUsK2IgsnpB5+4rAuv4JPftnLDadnhiWJBWDUqymtcbR6\n/bIaJ7EmMR9LEISACesxrV2rr1bafEWlBH9fUalQtBHqLaAXrRDaHZcD5l4JJVvh8rkQhiTW35Tl\nQtEGyMiBdpbEEtpIkuCsJ8Bpg9WvgS4KRkwLd1QdgTietYK3reDYjLF+rZdpzqRnbM9jsr3gsj3L\neGT1I2hVWt4e/Tbz189nft58iqxFvJzzMtG65pNTBbY8EnRJIUtiAfSM7EukOpqtv+Zycjf/ZiSV\nWEu45/t72Fy+mdtPvp2bTroJlSTamrZVt5hu3NX/Lu445Q42lW5iwe4FLC5YzML8hUTrorE6rbhl\nN3GGOMZkjGFElxEMThkc9ARisCSbkrmm7zVc0/ca8qvzG5NaT6x9ghk/z2Bo56GMzxzPqK6jOuxz\nDDFxTGuFQLUVPFL8jTdiXbOW4qeeIuKUk9FnBmj+oSzD9u3QpQu01A4vuxcsXwoHDijLB1NRodLC\nMFyVO6f0Z1NJCSefOvCwL7sqKyl99lmqv/oaXVZ3MuZ8GriEpXDMMPTuTeozM+j0z39Q+dnnVH72\nGftuuAFdVneiRo7CsX+fkrTKLwCXS1lJrUaXloY+O5voiRPR98hC36MHurQ0JK1vBTaSWk3EiX2J\nOLEvCTfdiMdux7ZhA7a1a7GuWcvBf7/Owdf+jSoqCuNpgxrmfQ1Fl5nRpkIlX7I664EekiRlohxI\nJgOXt3qPfoqP/mtOVlsSWVVW5YcVY2r7rK2WmE0aPDJY6lyYfdif3elGkkCn8f8HmdNLKbNdkVty\nWCLL7nTz4Lw/6BIbwT/G/L0aKlSMBjX2Mg9uj4zaz7aGLrdMpdVJjxTxxk8QhIAJ6zGtXbM0tICN\naqJXeaB592EpBH0Ih/gKLZNl+PoO2L0SznsTeowOd0RKgnXrPDAlQbczwx2NEAySBONfAIcNvn+q\nYRZbn3BH1d6J41krLC5YTFpUGtmx/h97xqSPYeammZRYS/yuHGmPXB4X//7t38zaMou+8X15Oedl\nUiJTcO50MqzvMB5f8zhXf3c1b5z5BqmRTb83sLmtlNQXcmrMsBBHD6kRaexw7/ZrnU2lm5i6cio2\np41XR77KmWnimBJoKklF/6T+9E/qzwODHuCnAz+xfO9ykoxJ5HTNoW9C32MucZhpzuTWk2/lln63\nkFuRy3f53/FdwXf8sP8HDGoDI7qOIMWaQt+6vn7PEDuOiGOan9w1NdSuXk3clCltuijcFEmtJvX5\n58g/bxKF904jY86nSDpd2zd84ADUWuA0H25AyMhQ2pNt3xbcRJYsK/OxMgKUrGsNlYoqo6mx8kyW\nZSyLF1P85FO4q6tJuO1W4m+5BVUgfgbCMUuTkEDiHbcTf9ON1CxcSMXs2ZS/+y7arl3RZ2UROXKU\nUmHVIwtdZiaqVrT/a47KYCBy2DAihynvCV2Vldh+/hnrmrVY16yhdtlyJc6UlIak1pBWzddqMTMk\ny7JLkqQ7gMWAGnhfluUtkiQ9Afwqy/LXkiQNBL4EYoFzJEl6XJblgJx9mvRqDFoVZTVOMttwvlBt\nc6FVS0Togv+myZu8qrL5msjyoNeqWnXw6RRl4KQuZlbklnLHqB6NX3/z+zx2HbTy4XWDMOpC2kHy\nMEa9UmVmq3cTFeFfHBW1DmQZEqLFH2tBEAIj3Me0ds1SCEgQGYI5SIcmshJEIqtdWf44/PE5jHwE\nTmknVQfbvwGnFU6+GlThe08jBJlKBee+rlRmLX6I1B63KG0HA3xx5lghjmf+q7RXsr54Pdf2vbZV\n511jMpRE1tI9S7nihCuCEGHolNWVMW3VNH4t+ZVLsy/lvoH3oVP/dc41KWsSyaZk/vH9P5iycAoz\nR82kT8LfXzp7bMqcoAyjf637w2Heznk89fNTJJuSefesd8mKbf8xd3Q6tY5RaaMYlTYq3KGEhCRJ\n9PTZa1QAACAASURBVI7vTe/43twz4B42lW5iYf5Clu5ZSoW9gg/mfkB3c3cGpQxiUPIgTk069W8t\nCI9X4pjmP8uKFeB0Ej1+XFC2r01OJuXpp9h/x52UvvoaSfcFoFp+ey7odL4ljTQayOoBudugvr5V\nM3d8UlGhbD81BDdz+sBZWkrJk09iWboMQ58+pL3/HoZscb4s+E6l0xEzaRLm884DpzMwSehW0MTG\nEj1+PNHjxwPg2LtXSWqtXYtl+XKq580DQJ+djWmI7zPafboaIMvyQmDhEV979JDP16OU/gacJEnE\nR2kpt7S+PR1AtdVJjEkb8DsVmhJlUKNWQbXVBT7MJax3eDBoW59gG9WrE68t30l5bT0A24stvLVq\nF+ef0pkRPYM3sNYXpjYksspqnEhAXFTwq+gEQTh+hPOY1q5ZisCYAJognSQcSmOAiDhln0L7se5d\n+OkVGHANDL833NEoSrdC8UbIHAXRncMdjRBsag1c8C446+i5822Y9QeMfAgyzwh3ZO2SOJ75p7Vt\nBb287QWX7FnSoRNZG0s38s+V/8TisDDj9Bmc0/2cJpcbnDKY2eNnc9vy27h28bU8P/x5crrmHLZM\ngW0nURozcdrwnnM2x+lx8sL6F5iTO4chKUN4YcQLmPXmcIclHOOOrEz7ZOknuFJdrC9ez/y8+czJ\nnYOERHZcNgOTBzIoeRADkgYQpTt+W26LY5p/gtVW8FBRo0cTM/lSKt5/H9PQoUSe3obq2/p6yN+t\ntAz0dV5Odi/YshnydkKfvq3fd3MKGzpYpoQ5kSXLVP1vHiXPPYdcX0+nafcSd/XVAZ0tJBxfJElS\nEsfthC4tDV1aGrGTL0V2uw+br1X56ac+b6dD1HTHR+uoc3iw1btbtb5Hlqm2uUIyHwuUF0u0UUuV\n1enT8nZn2xJZZ/ZKQpZh5faDeGSZB+b9QZRBy/SJJ7R6m4FyaEWWv8pqHMREatGqO8TLVBAEoWOz\nFIZmPpZXZMpf7QyFw1lK4N1R8PVdsP9XpeVFsG37BhZOg57jYcJL7aIKRiM7IPdLpUowc2S4wxFC\nRaODSz9mR4+boTIfPpwIH0yEPWvDHZnQwbWlraDXmPQxbCzdSIm1JICRhYYsy3y09SOuW3QdEZoI\nPp7w8VGTWF5ZsVl8evandDN34+7v7+aTbZ80Pub0ODhQt4cMY1ZIbhZtjUp7JTcvvZk5uXO4+oSr\neXP0myKJJYScRqUhXZ/O9Sdez9tnvc3qyauZPX42t598O2admc9zP+fOFXdy+menc9mCy3hlwyus\nPrAam9MW7tCFdsrbVjB67Lig//1Nuv9+dFndKXzgAVzl5a3f0K48cLuhV2/f10lIgPh4pZIrWIoK\nlXldLc3sCiJnaSkxr79O0cMPo+/Zg8z5XxJ//fUiiSUcs7zztRJuupH0WbPo+cvPPq/bITIECQ0V\nOWU1ravKqq1z45HB3IYZW/6KMWmotrmQfbj4ZHd60OvUrd5Xn9RoEqP0rNheyoq9LjbureLRiScQ\nZwp/5jVCp0KS/E9kudwyFbXOxp+9IAiCEEROG9irQjMfyysqFerKwWUP3T47iu+fgqLf4c//g/+e\nCW8OgbVvgLUNJ4/N2fsz/O8G6DwALnpfqYppB3p4timvzT4Xi5aCxxuNjsLOE+CuTTDuOTi4HWaN\ng9mTYN+6cEcndEAV9grWF69nbMbYNl30G5MxBoCle5YGKrSQsDqtTPthGs+vf54zupzBnIlzyI7z\nLaGXEJHA+2PfZ3iX4Ty77lmeW/ccbo+bfXUFuHGTEdE+W/Rtr9jO5AWT+b30d2acPoN7B96LRhxL\nhHZAq9ZySqdTuLnfzfx37H9Zc/ka3h/7PjeddBM6tY7ZW2dzy7JbGDZnGFd9dxWvb3ydX4p+wS7e\nMwsNGtsKjmtdhbE/VBERdH7pZTw1NRQ+9JBP1zibtD0X4uKU5JSvJEmpyjp4ENqSRDsa73ysMFZj\n2XfsoODSyWh37Sb5sUdJnz0bfWYY53UJQhioIiJ8XzaIcQRMtFGDVi1RbvGtwulI3sqoGB/mVQWK\n2ajB5ZZbTODIskx9GyuyVCqJUdmdWLX9IF/scDC8ZyLnndw++rtKkoRRp8bqZyKrstYp5mMJgiCE\nirfFXygTWdHeOVmiveBhiv+E3z6CQTfDP7fDOa+BzgSLH4KXsmHuVbBzGXhaV6X+Nwd3wKeXKm37\nLv8cdMbAbLetSjaTJBcrLQVD+boU2hetAQbfAnf/DmOeVn4/3jsLPr4IDmwId3RCB+JtK+hNRLXW\noe0FO4rdVbu5/NvLWbpnKff0v4dXR75KtC7ar20YtUZezXmVK3pfwcfbPmbqyqnsqs1FrzKQbGh/\nnb4WFyzmyu+uxCW7+HD8hy1WnglCOOnVegYmD+T2k2/nw/Efsnryav4z+j9c3edq3B437/35Hjcs\nuYFhc4Zx3eLreOv3t/it5Ldwhy2EkeW7RUFvK3goQ3ZPOt13H9ZVP1D50Uf+b6CiAkpLlaSUvzeT\nZPVQ5qgGoyqrsgLs9rDNx7KuXcuey6eAy0XlP/9J7GWXIak6xGV6QQibDnFLkiRJxLVhTlaV1YVK\ngsiI1lc9+cubNKuyujAZjv5trnd6ANqUyAIY1bsTn/+6D50anp7Ut121dzDq1djqPX6t462+ixcV\nWYIgCMHnbfEXytaC3uSEpRBij7jrzF5DYumP4DkDVKE7doedLMPihyEiBkZMA0O0Mq9qwDVQshU2\nfgx/fAZbv4LoLnDy5XDKFIjNaN3+LMXw8YWg1sIV/wOTH3dIBlq9RWkjV7Vb+WgtxUIUURk54YtJ\naD90Rhh6B5x6rTLLbfVrSvvNnuNh5IOQ0i/cEQrt3JKCJW1uK+g1Jn0MMzfNpNhaTLIpOQDRBc+i\ngkU8tvoxDBoD7571LoNSBrV6W2qVmvsH3U+XqC48v+55eqal0D0yG5XUfi66eWQPMzfO5N0/3+Xk\nxJN5ZeQrJESE8dgmCK1g1BoZ2nkoQzsPBaDWUctvpb+xrmgd64rX8damt3iTN8McpRAu7poaates\nIe6KK0J63S92yuVYV6+m9IUX0dw3zb+Vt+cqyagePf3fcUQEZGTAzh1w2mBQB/DcsLDhHDgMiayq\nL+dTNH06+sxMuv7nbQ7s2BHyGAShI2o/7zpbEB+lw1Lnbkz8+KPa5sRs1KAK4R/5aKMGCai2uZpd\nzt7wfPS6tv0oTs9KINVsYHK2jq5x7eRu6gZGg9rv1oIHaxzEmDRoNR3mJSoIgtBxWQpBHw26yNDt\nUxcFWlPTFVkLp9Fn64uw/r3QxdMe7FgM+asg50GIiD38saQTYNwM+EcuXPwhdOoFP7wAr/WDD8+F\nP78Apx8tZ+w18MlFYCuHy+dCXIhbWNiroGgjbJsHa16CH2fA5jnK1wwxkDWWP9UDjq9EptAynQlO\nvwfu+QNGTYe9a+E/w+GzKVC8OdzRCe1UoNoKenmrupbtWdbmbQWL0+PkuXXPMW3VNHrE9mDuxLlt\nSmIdakrvKczIeQKtRsPczfPYVbUrINttK4vDwl0r7uLdP9/lwh4X8t7Y90QSSzgmROoiGd5lOPcO\nvJe558zlx8k/8urIV8MdlhAmoWwreChJkkiZ8TSqGDPRH32E7Gr+Wmcjtxt2bIf0dCUp1RrZvZTK\nqb17Wrf+0RQVQmQkRPlXpdwWsixzcOYbFD34IKZBA0n/9BO0YaoIE4SOqMNkCRKilcocf6uyZFmm\n2urCHMK2ggBqlURUhKaxreHR2B2Bqcgy6TWsefBMRqW1vwomk15FvdODy+1bL123R6ay1inaCgqC\nIISKpSj07dskSdmntxrMK/8H+OMzXOoIWP4E1BwnrQfdTljyCMRnwanXHX05jQ76TFIqqKZuhpEP\nKxVM/7teaT24cBoU/dH8vlwOmHulUuV1yYfQuX9gn8uRZBnqKqBwA2z5AlY/Dz89B1vmQsmfYEyA\nHuNh4G0w4lE45VrIyMEh6YMbl9Bx6aNg+L1KQivnQeXvxtvDYO7VULot3NEJ7Uyg2gp6tff2gqW2\nUq5ffD0fb/uYKb2nMGvsLJJMSQHdR2xUFBIq9lUWceXCK/ml6JeAbt9fBdUFTFk4hdUHVvPwaQ/z\n2JDH0KnFuaRwbDLrzZyZdma4wxDCJNRtBQ+liY0l+aGH0O7dR+Wnc3xbae9eJQmV3bv1O+7SFYwm\nyPW9vaCrooJ9d9yB4Zd1Tc/1kmWlIiuE87Fkh4OiBx+ibOZMzOefT9e330YdFRWy/QvCsaDDJLJi\nTFpUEn7PybLVe3C6ZWJMoe+iaDZpqLY2f5fCX60Fj907jo165bn5WpVVYXHiEfOxBEEQQsPtBNvB\n8MwhikoFayl4Go6VrnpYMBViM9h4yrPgdsDiB0MfVzj8OgvKd8KYp5RWf74wd4ER98Fdv8NVX0HW\naNjwIfznDKVKZd27UFd1+DqyDF/fCbtXwrn/hh5nBfypIMtgK4MD62Hz50rSavULsPULKNsKkSnQ\n82wYdCeMmA4nXw3pw8HcVVRgCf4xmCHnASWhNXwa5C2DN4fAF9dD2c5wRye0E4FsK+g1Jn0MG0s3\nUmwtDtg2A2F98Xou+eYScityeX748zww6AG0vh5TfCTLMgW2PLpGZDB7/EckmZK4ZektfJX3VUD3\n46ufDvzE5d9eTpW9infGvMPkXpPbVZt9QRCEQPG2FYweOy5sf+eixo2jvs8JHHztNZwlJS2vsD0X\njEbo2rX1O1WpoGdP2LcXrFafVil56mlqly3HPGsW+265BWfRETdHVlWGdD6Wu6aGvTfdTPX8+STc\ndScpM55G0olrnoLgrw6TyFKrJGIjtZTX+FeRVW1TEl9mY+grlWJMGuxOT7PtEL2tBQ1tbC3Ynvmb\nyCqziPlYgiAIIVNbDLInfIks2Q21pcr/f3oVyvNgwktYIzOUiostX8LO9tu+KSDqKmHlDMgcAT3H\n+b++SgXdcuCi9+CfuTD+BeVnuvBepUrrfzcqFSseD5n5DXO2Rj4Mp1wRmPhlGWpLYP/P8Occ+PEZ\npV3gtnlQkQfmNMg+FwbfDcMfgX5XQtrpEJ0K7Wi2itCBRcTCqEfg7j+U1oPbF8Ibg2DezVDePtqe\nCeFRYa9gXfG6gLUV9Gpv7QVlWWbW5lncuORGonRRfDrhU8Znjg/KviqcB7G4qskw9iA1MpUPx3/I\ngOQBPLL6Ed7Y9EbTd74HgSzLLKtexm3LbqNzVGc+m/gZA5MHhmTfgiAI4WBZHp62goeSJAnL5MnI\nLhclM55pfmGbTWkH2DNbOV9pi+xeyjnHzpZnSVlWrKBm4UISbr+dmosvxrZuPbsnnkPlnDnInobr\ns975WCGoyHIeOMCeKVOwbdhA6nPPknjbbeKGC0FopQ519SAhWkeVzeVzizqAqoaKqGhjGCqyGpJn\nzbUXtDvdaNUSatWx+0fM5G8iq2E+lk7MxxIEQQg+b2u/qJTQ79u7T0uhcrH5x5egz/nQY7Ty9WF3\nQ3wP+PYf4KwLfXyh8sOLSuXU2KeVlottYYyD026CW36Cm1Ypyaodi+HDc+CVPqTv/QIGXKNUrwRC\n1R4lcfXzq5D7FVQVQGw36DUJhkyFMx6Cky6HrkMgMlkkroTgMsXD6H8pCa0ht8PWr2DmQPjqdqgs\nCHNwQjgs37scj+wJWFtBr/bUXtDisDB15VRe3vAyo9JGMefsOWTFZgVtfwW2PADSjd0BiNZF89aZ\nbzEpaxJv//42D//0MA63fzef+srtcbOzcifz8+Zz1/d38VXVV4zJGMOH4z4kNVLMGBEE4dhmWRS+\ntoKHcicmknDrrVgWL6Z21aqjL7hzh5J8yg5ARXRMDCQnKxVezdww4a6pofhfj6Pv2ZOEm2+i7sxR\ndPvmayL6nUTx40+w56qrqM/PVxJZJhNEB3c+Vt2WLeRPnoyzuIS0d9/BfN55Qd2fIBzrQp/daYP4\nKC2yDBW1DjqZfZubUG1zEhWhRqMOfaLI3NDOsMrqIimm6XjtDg/6Ns7Hau/0WhUqCaw+JLLcHpkK\ni5PMJGMIIhMEQRCwFILGAIbY0O/bGA9qnRLD8idBo4exh9zZp9HDxFfgw4nwwwtw5qOhjzHYynfB\nL/9REk7JJwZ226knK//GPAXbvoGNH1Ns7EnyhJfanjADJbm4+TNQa6D3BRCbCRHxgdm2ILRFZKLy\nuh9yJ/z0Cvz6Pvz+WeCqEIUOY0nBEtKj0wPaVtBrbMZYXt/4OsXWYpJNyQHfvi92Vu5k6sqp7Lfs\n595T7+WqE64K+l3eBbY8kvSpGNWmxq9p1VqeGPoEXSK7MHPTTIqsRbw68lXMenOr9+ORPeyt2cuW\n8i1sLtvM1vKtbKvYRp1LubHFpDVxTsw5PD38aXFnuyAIxzxvW8G4K65oF3/z4q+7lupvvqH4iSfp\ntmAQqoiIwxeQZWWmVVIyxAToPDO7F6xaCSUlSlKrCaUvvICrrIwub7zR2LpP16ULXd97j+p5X1Ly\n3HPkTzqfnrfdjNQ9K6jfS8vKlRz4xz9Rx5hJf/999D16BG1fgnC86FAZlLhIpcKpvMb3OVnVVldY\n2goC6DQqjHoV1c1UZNU7Pcd0W0FQSo+NerVPFVmVtcp8rMRo0VZQEAQhJCxFSou/cJwQSSplXlLJ\nn8rMplHTIfqIyrDMM6DfZbD631Dq+4DfDmPpo0oyb9T04O1DGwEnXQJXf01u76lK4qmtZBly50N9\nDfS9DDoPBGOCSGIJ7UtUEox/Fu7eBAOuhU2fhjsiIYS8bQXHpI8JyoWqMenhbS+4YPcCpiycgtVp\n5b2x73F1n6uDfnGz1lVDmaOEDOPfK74kSeLmfjfzzBnP8PvB37nyuyvZb9nv03ZlWWa/ZT+LCxbz\n8oaXuWHxDZw+53TOmX8OD/z4AF/s+AKP7OHCHhcy4/QZfD3pa9ZctoYx5uD8bAVBENqb9tBW8FCS\nTkfKvx7DeeAAZW++9fcFSkuUOVS9egVup926g0ajVGU1wbp2LVX/9wXx111LxIl9D49Xkoi58AK6\nLfiGmNFnogLKvvoae25wzi8r58xh/223o8/MJPPzz0USSxACpENVZGk1KmJMGsotviWy6p0e6hwe\nYkzhe5pmo5Zqm+uoj9udHmLDGF+o+JrIKmuYgRYfLYYeCoIgBJ3sUWZkdRkUvhgi4pU5SqmnwMDr\nm15mzFOw/TulxeA13x47yZKCnyB3gTLbJyop3NH4p+g3KPkDuo8BcxuGNwtCKESnwtkvKu1KH00L\ndzRCiASrraBXhjmDnrE9WVywmCtOCG213/y8+UxfPZ3+nfrz4ogXSTQmhmS/3raCGcajX5Cb2G0i\nScYk7vn+HqYsnMLro17npMTD22CVWEsOq7TaUr6FqvoqALQqLdmx2UzoNoE+8X3ok9CHbuZuaFTH\n/jmzIAjC0bSXtoKHMg4ciPmCCyifNYvocyZi6Nnzrwe3b1eSTt26B26HOp2yvV15MHQYaP+6Ad5j\ns1E0/VF06ekk3HHHUTeh7dSJ5Ouvgx9/oDZvF2UXXUz8DdeTcOutqPS+df5qjuzxUPriS1S8/z6R\nOTl0fulFVCZTyysKguCTDvduMD5KR0GpDY9HRtXCXClvJZQ5jImiGJOGosp6XG4PGvXfK6/sDg/6\nGHUYIgstk15NZTOVaV5lNU7MRjEfSxAEISSsB8HjVCqywmXfL8pJyFlPguoox0NTApz1BHxzF2z6\n5NhoD+bxwOKHILoLDDn6yVa7ZCuD7V9DTCZkjAh3NILguxiRdD2eLC5YHLS2gl7haC+4pXwLT659\nktNSTuOt0W+hVYWuk0WBLY8YTRwx2rhmlxuYPJCPJ3zMbctu47rF13FP/3uwOC1sLVOSVgfrDgKg\nltRkxWQxKm1UY9KqR0wPdGpxU6MgCIJXe2sreKhO0+6ldsUKih9/gvSPZiOpVOB0Qt5OJemkC/Df\n8169YMd2yN8NPf86vh987TWc+/eT/tFsVAZD89soKgSjibRPP6Hkuecpf/s/WJYsJeWppzD2P6XV\noXnq6ym8/wEsixYRe/llJD30EJKmw112F4R2rcNlC+KjtLg9ytypllQ1VEKFq7UggNmk7LupqiyX\n24PbIx/zrQVBqchyumScLs9Rl/F4ZCpqHSSIaixBEITQsBQqH8OVyNr/K2yer3xubGGOxilXQtfB\nsGQ6WMuDH1uw/fEZFP0Oo/+ltP7rKDxu2Py50hay7yXKR0EQhHamwl7B+uL1QWsr6BXq9oKV9kqm\nfj+VuIg4nh/+fEiTWPVuO0X2faQ30VawKZnmTD45+xOy47J5bv1zvLXpLfZa9jI4ZTAPDHqAj8Z/\nxNrL1/LFuV/w+NDHuST7EvrE9xFJLEEQhCO0t7aCh9LExtJp2jTqNmyget485Yv5+UoyKzuAbQW9\nklMg2nxYe0Hbxo1UzP6I2MsvwzhwYPPryzIUFkJqCurYWFKffYau776LbLezZ8oUip96Go/V6ndY\nrspK9l5zLZZFi+h0330kTZ8ukliCEAQd7rcqPqphTpbFQVxU82/cq60uInQq9NrwXWSJMSrf4iqr\ni/iow9+U2x1KUscQxvhCxWhQ7rK31bsxH6XaqtLqxO2BBDEfSxAEITQsRaDSQIhaEh3G7YJv7gG1\nXkmGWIogqZlWGSoVTHwF/nOGMldq0huhizXQHFZY/gR0HgB9Lwx3NP7ZvRxq9sOJl4MhJtzRCIIg\nNMnbVnBsRnAv+mWYM8iOzQ5Je0G3x819P9xHeV05s8fPJs7QfFVUoO2ry8eDp8n5WEcTZ4hj1thZ\n5FXlkR6djkkr2isJgiD4qz22FTyU+YLzqfpyHqUvvEjkqFFotm+D6GhISWl5ZX9JEmRnw/p1UF2N\nJyKCokemo0lOJvEf/2x5/ZpqsNkg5a8bOSPPOJ1u33xN6auvUfnxx9SuWEHyE08Qefown0Jy7NnD\nvptuxllUROdXX22XCUdBOFZ0uAyKQacm0qCmzIc5WVVWZ2NFVLgYdCp0GqmxzeGh7E4lkRXORFuo\nGPVKIsvazJysxvlYUeIuPEEQhJCoLYTIpKO39AumX96Gkj9h3AwwdfqrOqw5SScobfg2fQwFq4Mf\nY7Cs/reSuBv7jJKg6ygq86FgJaQMgKQTwx2NIAjCUXnbCvaM7dnywm00JmMMmw5uothaHNT9zNw0\nk5+LfubhwQ/TJ6FPUPfVlAJbHhEqI0l6/6q4dWodJ8SfIJJYgiAIreBtKxg9dly7ayvoJUkSKf/6\nF26bjfKXX1YqnrJ7BW+ucc9sZds7tlP21ls4du0i5YnHUUf6cJwpbDjnTD38WKYymUh++CHSP/kY\nyWBg3w03UPjgQ7irqprdnO23jRRcOhl3TQ1pH3wgkliCEGQd6OrJX+KjtJRbHMiyfNRlXG6ZWru7\nsSIqXCRJIsakbbK1YH1DIut4aC1o0nsrso7eWrCsxkm0UXNcJPYEQRDCTpaV5FE42gpW7YPvZ0CP\nsdD7XCUGXxJZACPuh5g0WDAVXI7gxhkMNYWw+jXocz6knRbuaHznrFNaCkbEQfY54Y5GEAThqELV\nVtArFO0Fl+9Zzn///C8X9riQC3pcELT9HI1bdrG3bjfpxqx2eyFVEAThWNTYVnD8uHCH0ix9Vhbx\n112H6sB+ZDhsflXARUZCly7IWzZT/t/3MJ93HpFnnOHbuoWFEBEB5qY7Sxj79yfzy3nE33Iz1d98\nw66J51CzeEmTy9YsWszea65BZY4m47M5bZqvJQiCbzpkxiA+WofTJWOpO3p1T7VNqYAym8LfPdFs\n1FBjc+HxHJ54+6u1YBjuhA8xnUZCrVJaCzbF45EptzhEW0FBEIRQqa9WkhORQWj50JJFD4DsgQkv\nKHfTRaWCoxbqa1peV2eECS9C2XZY+3rwYw205U+C7FZmY3UUsgy5X4LDAn0vBY0+3BEJgiAc1bI9\ny0LSVtDr0PaCwbC7ejcPr36YvvF9eei0h4Kyj5YU2vfhlB1+tRUUBEEQ2q5m0XdoU1MxnNj+uyEk\n3HwTMSeeSF1JKR5dcDstyT16ItXXE5Xdk6QHH/BxJRmKCiG1c7PVYiq9nk733EPm/81F26kTB+6+\nm/133oWztLRhMzLl78/iwNSpGPr0IeOzz9ClpwfiaQmC0IIOmchKOGRO1tFUW5UKqJgwtxYEJZnm\nkcFSd3hVlt3pRpKUJM+xTpIkjHr1URNZjfOxRFtBQRCE0KhpqIAKdUVW7kLIXQA590Nswxv+qIZk\nmq9VWT0bKrlWPQ8V+cGJMxgKN8Lvn8Lg2yA2I9zR+K7oN6UNZLezwNw13NEIgiA0a8meJSFrK+gV\nrPaCVqeVqd9PRa/W88rIV9Cpw3OuVGDLQyNp6WxIC8v+BUEQjkfumhqsa9YSNXZsh6iGVVVUoDUZ\nqfh1AxXvvRfUfZV/vxJXXR1J552LOsbHub01NWC1+jy7y9C7NxlzP6fTvf+k9ocf2D3xHKr+N4+S\nJ5+k9PnniRo7lrRZ76OJjW3DMxEEwR8dMpFl1KsxaFWU1Rx9Tla1zYVWLRHRDtr2eZNpVdYjE1ke\n9FpVhzggBYJRrz7qjCzvzzIhWiSyBEEQQqK2EJD+SiKFQn0tLJwGib2VWVde3mSapcj3bY17FlQa\nWHivcnddeyfLsPhhMCbAGf8IdzS+s5XB9q8hJhMyhoc7GkEQhGaFuq2gl7e94NI9SwO2TVmWmb56\nOgU1BTw//HmSTckB27a/cRTY8ugakYFGFf6bRAVBEI4XHaWtYKPt20Cvh+5ZlL31No49e4Kym/rd\n+ZTNfIM6Wx3aejvU1/u2YpF3PlZnn/claTTE33ADmfO/xNCzJ0UPP0zlp3OIu/46Or/8EiqDoRXP\nQBCE1gp/lqcVJEkiPlrbbEVWldVJjEnbLpJEkQY1ahV/m5NV7/BgOI7mQZkaKrKamm1WVuMgKkIt\n5mMJgiCEiqVISaqE8u7uVc9CzX4451VQH3IxTGNQZi/5WpEFYO4Mox6BvGWwdX7gYw203AWw1lFs\nqwAAIABJREFUZzWMfAgM5nBH4xuPW5mLJamg7yXKR0EQhHYs1G0FvbztBZcUND1HozU+3PIhS/cs\n5Z7+93BaSvhmKh50FGNz14q2goIgCCHWkdoKUl8P+fmQ1YOkBx5A0ukofuLJJq//tYXs8VA0fTqS\nwUDExZeA2w15O31b2Tsfy9cKrkPoMzNJm/0hKU8/TeoLz5M0bRqSSpwbCUKoddjfuoQoHXUOT5Ot\n6jwemRqbq13MxwIl8WY2aqmyHl5BZnceX4kso0GNyy3jdB9+IPN4ZCosThJFNZYgCELoWApD21aw\neDOsfRP6XwVpg//+eFSqf4ksgIE3Qko/+O4BsFcHJs5gcNXDkulKJVr/q8Mdje92L1cSj70vAIP/\nJ3yCIAihFo62gl6BbC/4S9EvvPLbK5yVfhbX9Lmm7cG1QYEtDwmJtIjuYY1DEATheNLR2gqSt1NJ\nKmX3QpvUicR77sG6ejU1CxcGdDeVc+ZQt2EDSQ88gKZHD4hPgNzcllf0zsdKSW12PlZzJJWKmAsv\nwHzOOa1aXxCEtuuwWZT4hjlZZTV/r8qy2F14ZIhpJ4ksUOZkVdtch92NYHd60OvUYYwqtIx65bke\nmXyssrpweWTRVlAQBCFUHFawV4WuraDHAwvugYgYGP1408tEpUJdBbjsvm9XrYGJr0BtCax4OjCx\nBsO6d6EyH8Y+pcTcEVTmQ8FKSBkASR3gLlBBEI574Wor6BWo9oLF1mKmrZpGRnQGTw57MuwXMAts\neaQYumBQR4Q1DkEQhONJx2srmAvx8ZCQAEDsZZMx9O1LybPP4q6pCcgunAcOcPCllzGdfjrm8ycp\nX+zVC8oOQnl58ytbLFBbqySyBEHosDpsIivaqEGrlii3/H1OVnXDLCqzsf308DYbNbjccuOMKFmW\nqT/OKrJMDYksq/3wRFZZQ4tIkcgSBEEIkdqGWVShqsj67UPYvx7GPA3GuKaX8SbV/JmTBdB5AAy6\nEda9Awd+a1ucwWAth1XPQ9Zo5V9H4KxTWgpGxEG2uONQEISOIVxtBb0C0V6w3l3P1O+n4vA4eHXk\n/7N35/GRV3W+/18nlVQqa3fTzdLQSAOyCOjAgIg4MO34A9FRgSuOOswgLpdxAZ1xHH/oKDKKCrg7\n6vXOwjAqc11ww4VBUFqEAS+NNIusDUNDQ7N0091ZK6lKnfvHt9Kk00mnknwrVZW8no9HHiRV3zr1\nTnVSH775fM85X6SjpSPFhNO3rbCFLYVN7NfmsoKSNJcaalnBzZvhmWfgkEO3z3YKmQx7XXghI5uf\n5ZkvfnHWTxFjZOMFHyMCy//hwucu8nj+QdDUlDTSdmX7/lhzuD+0pNQ1bBclhMBuXRPvk7W1v0hT\ngM62+pnttLgjaaqNNtmGCiWABdXImmxGlvtjSdIc653DRlbf03Ddx2DlCfAHb5r8uNEs011eEJK9\nsjr3TGZ9jRSnPn4u/fpiGO5LmniNIEa474cw3AtHvBGaW2udSJIqUstlBUfNdnnBT//209y9+W4+\n+bJPsv+i/VNON33rB9YBuD+WJM2hkW3bkmUFTzml5rNyK3L/fUkz6fkH7XBz2xGHs+TMM9nyf77N\n4J13zuoptv3ox/TfdBN7vP/9tOyzz3N35HKwcn948IFkacPJPPFEcuySSS6qlNQQGrpzsKwrS+/g\nyPam0KhtAwUWtTfTVEdv+N3tzQRg20DyB7Z8OXNrtqH/CaYl29xESybs0Mgqxcjm3gLLupyNJUlz\npvcJaF0E2Tm40vsXH4HhAfjTz+96PfJsF2Q7pz8jCyC3CE75NGy8A279l5lnTdszD8Ct/wpHnw17\nHFrrNJXZ+Dt46i444CRYtG+t00hSRTYPbq7psoKjZrO84A8e/AHff/D7vP2It/OK/V6RdrQZeWRg\nHbu17E53i/skStJc2b6s4Cm1mWE8LSMjSRNp5Upo23kJ2t3f916ad9+djR+7kFic2QWHxWee4amL\nL6bt6KNZ8udv3vmAQw6FfB7Wr598kI1PwPLlM94fS1J9aOguytLuZJbT2FlZMUa29RdZ1FE/ywoC\nZJoCXe3NbO1PlkLMDy+8GVmQzMrqH9PI2tZfpDji/liSNKd6n5ib2VgPr4Y7vwN/9Dew+xRXyIeQ\nLC84kxlZAIefnizd96uLoGeGY6Tt2o8mzcKXf7jWSSozsAnuvwoW7w8rT6x1Gkmq2C8f/WVNlxUc\nNdPlBX+/6fd88pZPctzy4zjvqPOqlG56BkcGeHLocWdjSdIc67nmPxtnWcFH1ydNpEMmvmgv09nJ\nnh/+MEP33suz3/rWjJ7iyY9/gjg4yPJPfILQNMHfUFesgI6OyZcX7O1NPvbeZ+L7JTWMhu6iLOlo\noSmwwz5ZA0MlCiORxR31t5n6ovbm7UsL5rcvLVg/yx/OhfbWzA4zsjb1jO6PVV+NR0mar5riCPQ/\n89yeVNVSyMNP3w9L9ocT3l/ZY7r2hv6noDSDq/VCgFd/FkoF+M/zp//4tD10PTzwn3DiB6BjWa3T\nTK00kuyLFTJwxJ9BaOj/RZS0wPxi/S9Y2b2ypssKjnrlyldOa3nBZ/PP8ter/5qlbUu59MRLyTTV\nx/nhowMPE4k2siRpDjXksoLtHbBi8pUcul55Mh1/fCLPfPkfKWyc3uobPf95Db3XXsuy886l9YBJ\nltxtaoKDD4HHHoX+/p3vH90fa/kc7Q8tqWoa+q8UTU2B3Tpb2Nzz3IysrQNJU2tRe/01RhZ3NJMv\nlMgPP7ccYm4BLS0IzzWyYoxA0sjqzGXIZevjhE2S5rsOeoFY/RlZN30Rnn0I/vRz0LLzMhMT6twb\nYinZV2smdtsfTvw7uOfH8MD0roZPVWkErvl7WLwfvOSdtcsxHQ9fBz0b4AWnQ84lpCQ1jtFlBU/a\n76S6+KPfySsrX16wWCrywRs+yLODz/KFl3+BJbkl1Y5XsUcGH6Qj08Wy7J61jiJJC0ZDLSvY3w+P\nPgoHH5w0kyYRQmCvj34USiWe+tSnKh5+ZOtWnvzEJ8gddhhL3/rWXR98yCHJXr8PPrDzfU88Aa2t\nsJv7Y0mNruG7KEu7s2ztL1IcSRpDozOeutvrcUZW0lzbNlAkPzxCSyaQaar9ydZc6mjNMFKC4WIk\nApt6Cy4rKElzqDP2Jp9Us5G1aR385nNwxOvh+dPY52N0lthMlxcEOP69sOwQ+PnfJntz1cLt34Kn\nfw8nfRyaW2uTYTq2PAyP/Br2Pgb2bIAlTCRpjHpZVnDUft37Vby84D/e/o/8duNv+chxH+HwpYfP\nQbrKFEoFNgw+wsr259dFc1CSFoqGWlbwwQeS5tEkywqOlV2xgmXvfje9115H76+ur2j4pz59MSPb\ntrH8U58kNE/xN95Fi2Gv5XDfvUmmsTY+kczGsp5JDa/xG1ldLUTg2b5kJta2/gJdbRmaM/X3BrWo\nvNzh1v4i+UKJ1gW2PxZAe2vyPffnRxgJufL+WPU3e06S5quu2APNbdWbdRMj/Oz9yXO88tPTe2z7\nUshkZ9fIas7Ca74AWx+FGy6d+TgzNdSb7NO173Fw2Klz//zTVRiEu78L7bvBwa+pdRpJmrZfPFI/\nywqOqmR5wWvXX8tld1/GGw5+A6cfdPocppva4/n1FGPRZQUlaQ411LKCMSbLCu61Fyyu7Lxy6VvP\npvWg5/PkRZ+gNLDrCw77briBbT/+MUv/5zvIHTp1owyAQw+Fbdvgqae239RaKEBPDyyv8rL6kuZE\nw3dSdutKmiCbe5JG1taBIos76rMxkm1uor01w7b+AkOF0oJbVhCgPZcsITgwNEKxqR3AGVmSNIc6\nY28y86laJ0d3fQ/++9fwio9C1zSXIwpN0Ll8do0sgJUvgyPPhP/6R3jqntmNNV03fgH6n4ZTPlX/\nV/3FCPf+EIZ74fA3NsbsMUkaY/PgZm59qn6WFRw11fKCD299mI/c+BFetOxFnH9sHezrOM4jA+vI\nhizLc5PveSJJSldDLSv41FOwdWtFs7FGhZYW9rrwQopPbGTT17426XEjff1s/NiFZA88kGXvelfl\nmQ44EJqb4f57t9+0eLRhtvc+lY8jqW41fCelJdPE4o5mNvUOM1QokR8usagOlxUctai9ma0DRfLD\nJXILckZW0sjqLzeyOnIZ2twfS5LmRmkk2SOrq0pXpA1ugWs+DPscDce8bWZjdO0NfRt3XhJiuk76\nBLR2J7PDSqXZjVWprY/Cf30FXvTG5DWodxtvg6fvggNPgkX+sVJS46m3ZQVH7de9H4fudijXPHLN\nTvf1F/r569V/Ta45x+dWfY5spr4u6otE1g88xPPaDyQTPE+TpLnSUMsK3n9f0jQ64MBpPaz96KNZ\ndMbr2Xz5v5O/f4L9rIBnPv85ik8+yfKLPkFTdho1sqUFDnw+PPQQFJLJDosGByCbdX8saZ6YF52U\npV1ZtvQV2FJeXnB0Cb96tLijmf78CIPDI7S2LLwTg5ZME9nmsH1GlrOxJGkODWwiQ6l6+2Nd9w8w\nsBle80VommGN61oOI8O0Mcv9rTqWwsmfgEdvhrXfmt1YlbruH5JZWK+4YG6ebzYGNsH9P4ElB8B+\nJ9Y6jSTNSD0uKzjq5P1O5o5n7thhecEYIx+96aOs71nPZ078DHt17FXDhBMbbO0jXxpgP5cVlKQ5\nE/r7G2ZZwaZSCR5alzSxptNoKtvjb/+WTFcXT37sY8RxFxwO3HorW/7j/7DbWX9J+1FHTT/cIYcm\nTayHHwJg8UB/sj9W07z487e04M2L3+Sl3S2MlOCRpwcB6nZpQYBF5WylyIJcWhCSWVlPbhkihgzL\nuur330qS5p3RJfuq0ch67P/Cbf8GL3kXLH/RzMcpZ+uMvbPPdOSZ8Lzj4doLoH/T7Mfblcduhbuv\nhOPPg0Urqvtcs1Uagbu/AyEDh/9ZsqSjJDWY3pHeulxWcNREywv+2+//jWvXX8v7j34/xy4/tlbR\ndqmvfStNNPG8tv1rHUWSFozWO+5smGUFd+/tSZpFle5dNU7zkiXs8cEPMrh2LVuvvHL77aV8no0f\n+SgtK1aw+/veN7Nwe+0FixYlM8b6+2kvFGDvKl3EKWnOzYu/XCzrSq4A2LhliLZsE9nm+v22Fo+Z\nLbYQlxaEpJGVLyRXXTgjS5LmUO9GRmiC9t3THXekAD/9G+jeB17+odmN1bknhCY6Y8/sc4UAr/kC\nDPXCLz46+/EmE2OypGLnnvCyv67e86Tl4eugZwO84H9AblGt00jSjNwxcEddLis4avzygrdsvIUv\n/e5LvHLlKznrsLNqnG5iMUb62rewd+55ZJvcN1GS5kruttsaZlnBvbZtg+5FsNfMl6tfdNqptL/4\nxTz9uc9T3LwZgE1f+QrD69ez/BMfp6m9fWYDh5DMytq4Ee4r75W13EaWNF9U1EkJIZwSQrg/hLAu\nhLDTbrQhhNYQwnfK9/82hLAy7aC70trSRGcuWcKonmdjQdK8yjaH7Z8vRKP7ZDWVhrd/Lklzpd5r\nWlX1PkE/nTNf9m8yt/wveOpueNUl0No1u7GamqFjT7pIoZEFsMehcPx74Y7/gP/+TTpjjrP7MzfC\nhv8Lf/JRaO2synOkZXHpWXjk17D3MbDnEbWOI2kWFnQ9A24fuL1ulxUcNbq84MP5h/ngrz/I/t37\n8/HjP16XM8gAthY2U2gZYqXLCkqaYwu5po1s20b2vvsaYllBenpYMjgAhxySNI1mKITAXv9wIaWB\nAZ6+9FIG77qbzZf9G4vfcAYdL33p7DIeXM52++8oNjXB0qWzG09S3ZiykxJCyABfBV4FHAa8OYRw\n2LjD3g5siTE+H/gCcEnaQaeytDyzZ1F7/e6PBcmb9WizrXWBLi3YUW5eNZdmuf+JJE1To9S0qogR\nep+gL3SnO+7Wx2D1p+HgV8Ghr0lnzK7lydKCMaYz3ol/B4v3S2aNFYfSGXNUIc+BD30D9nohHPnn\n6Y6dtsIAh5bugvbd4OCU/q0k1cSCrmfA5sHNPJh/sG6XFRw1urzgV57+CsOlYb7w8i/Q3jLDq8zn\nwCMD6wBsZEmaUwu9pvX+8leEkZGGWFaQ++8jQtIsmqXWAw5g6TvezrYfX8WG886jedky9vi7v5v1\nuHR0wL77wsgIW9va3R9Lmkcq6focC6yLMT4MEEL4NnAqcM+YY04FLix/fiXwlRBCiDGtv0BNbVlX\nC+ufHmRRR303siBptj29bZhcy8KcjdRuI0tS7VSlpnWVtsJ/vr86idPU3Mqe//19WPPZ9MYs5pP/\nvvrSWV2Vt4Ouvclu/B3c8AkgpTFfdBoM9cC156eXEyBGckf+KbR2w28+ld641VAqkqUAR7wdml0y\nSmpwValng9k+vvTgRdVJnLK3Hf8GOrKRf3/0K7WOskvnvOzNjMQROlo6uGHbz7hhW60TTW64NExu\nqJ2O5lnOrpak6alKTescHGDkS1+oTuIUdcbIQe86h8zvboPbb6t1nF0bHubZjg6WdqazCsWyv/or\nen72cwqPPsqKr32VTHdKF10ecig8+ijb2ttZls6IkupAJV2ffYDHxny9AXjJZMfEGIshhG3AUmCH\nndVDCOcA5wDsvvvurF69emapJxAJtGV24/477+MB0u2f9fX1pZq1RDPtmU5uvune1MYclXbWahj9\ntxru2cjq1XV8JlfWCK/pKLNWh1nnlarUtBfttxt9/SnP9KmCGPNsGVlGZsmeqY67adlL2LL2YeDh\nVMZriUPsVdybXEj3go/2YoGW4ZSWLBwj39TBUHYvKKY+dOoeH+5k4HfrgHW1jjKlRno/a5SsjZIT\nGitrjVSlnu150B70ban/egbQElvoaFtESOuChyopjEB/oZ/uXP0vbZQDmje1sXrj6lpHqUgjvU80\nStZGyQlmnWeqUtOO2HNPNvf0VStzqoYWL6Kpra3WMaYUc208lM0SU/x5zrzlLFrWr+eppiZIadwQ\nIyuW7cG6TDOPNcDvXiO9R5i1OsxamTmdvhRj/CfgnwAOOeSQuGrVqrl8+hlbvXo1Zk3f6tWbGyJr\nY72mZq0Gs2oi42ta5+u/WuNElbmtCj8j+6Q6WmL16taG+Vle00C/dw82UNZGej9rlKyNkhMaK2uj\nG1/P/v7YT9Q4UWVWr17NqpesqnWMiqxevZpVx66qdYyKNNLvnlnT1yg5waya2PiatsdHP1rjRJVp\npJ+RdQ2U9bEGydpI//5mrQ6zVqaShUIfB/Yd8/WK8m0THhNCaAYWAZvTCChJUoqsaZKk+cB6Jkma\nL6xpkqQpVdLIuhU4KISwfwghC7wJuGrcMVcBbyl/fgbwq7ncH0uSpApZ0yRJ84H1TJI0X1jTJElT\nmnJpwfLas+cC1wAZ4LIY4+9DCB8H1sQYrwL+FfhmCGEd8CxJ0ZEkqa5Y0yRJ84H1TJI0X1jTJEmV\nqGiPrBjjz4Gfj7vtgjGf54E3pBtNkqT0WdMkSfOB9UySNF9Y0yRJU6lkaUFJkiRJkiRJkiRpztnI\nkiRJkiRJkiRJUl2ykSVJkiRJkiRJkqS6ZCNLkiRJkiRJkiRJdclGliRJkiRJkiRJkuqSjSxJkiRJ\nkiRJkiTVJRtZkiRJkiRJkiRJqks2siRJkiRJkiRJklSXbGRJkiRJkiRJkiSpLtnIkiRJkiRJkiRJ\nUl2ykSVJkiRJkiRJkqS6ZCNLkiRJkiRJkiRJdclGliRJkiRJkiRJkuqSjSxJkiRJkiRJkiTVJRtZ\nkiRJkiRJkiRJqks2siRJkiRJkiRJklSXQoyxNk8cQi9wf02efPqWAZtqHaJCZk1fo+QEs1bLQs+6\nX4xx95THnFesaVXRKDnBrNVi1vQ1Sk6oXlZr2i5Yz6rGrNVh1vQ1Sk4wq/VsCta0qjFr+holJ5i1\nWhZ61opqWnPKTzod98cYj6nh81cshLDGrOlrlKyNkhPMWi1mVQWsaSlrlJxg1moxa/oaJSc0VtZ5\nxnpWBWatDrOmr1FygllVEWtaFZg1fY2SE8xaLWatjEsLSpIkSZIkSZIkqS7ZyJIkSZIkSZIkSVJd\nqmUj659q+NzTZdbqaJSsjZITzFotZtVUGul1b5SsjZITzFotZk1fo+SExso6nzTS627W6jBrdTRK\n1kbJCWbV1BrpdTdrdTRK1kbJCWatFrNWIMQYa/XckiRJkiRJkiRJ0qRcWlCSJEmSJEmSJEl1yUaW\nJEmSJEmSJEmS6lJqjawQwr4hhOtDCPeEEH4fQnhf+fbdQgjXhhAeLP93Sfn2EEL4cghhXQjhzhDC\nH44Z6y3l4x8MIbwlrYxpZw0hHBlCuLk8xp0hhDfWa9Yx43WHEDaEEL5Sz1lDCM8LIfwihHBvebyV\ndZz10vIY95aPCTXMeWj5Z3IohPCBcWOdEkK4v/w9nJ9WxrSzTjZOPWYdM14mhHB7COGn9Zw1hLA4\nhHBlCOG+8s/rS9POO1+k/B5hTUs565jxqlLTUv73t57NPKs1bQ6zjhmvKjUt5X9/69k0pPw+UbWa\nllbOYD2rWtZgTZtN1prUtLRyTjZOPWYdM57naPNMyu8RnqOlnHXMeNa09LP6d8cUs042Tj1mHTOe\nNQ0gxpjKB7Ac+MPy513AA8BhwKXA+eXbzwcuKX/+auBqIADHAb8t374b8HD5v0vKny9JK2fKWQ8G\nDip/vjewEVhcj1nHjPcl4D+Ar6SZM+2swGrgpPLnnUB7PWYFjgduAjLlj5uBVTXMuQfwYuCTwAfG\njJMBHgIOALLAHcBhNX5NJ8s64Tj1mHXMeO8v/179tA5+rybNCvw78I7y51lSfr+aTx8pvkdY06qQ\ndcx4ValpaebEejabrNa0Ocw6Zryq1LQ0c2I9q/ZrX5OalmJO61mVsmJNm03WmtS0FHNaz6qUFWta\nNV93z9HmMOuY8axp6f4M+HfH9LNa06qUlSrXtFS/8XHBfwycBNwPLB/zwtxf/vx/A28ec/z95fvf\nDPzvMbfvcFw9ZZ1gnDsoF5h6zAocDXwbOJsqFJQUfwYOA26sdr6Usr4UuA1oA9qBNcALapVzzHEX\nsuOb9EuBa8Z8/SHgQ7V8TSfLOtk49ZoVWAH8EvgTqlBQUvwZWAT8NxCqnXE+fsziPcKaVqWszGFN\nm8W/v/VsFlnHHDf+/cyaVqWszGFNm8W/v/Wsyq/9Lt4n5rSmzTTnBONYz9L597emzSLrmOPGv6fN\naU2bac7JxqnH17R8m+doC+BjFu8RnqNVKSvWtGpk9e+OKWedbJx6zYo1bftHVfbIKk/HPAr4LbBn\njHFj+a4ngT3Ln+8DPDbmYRvKt012e1XMMuvYcY4l6TQ+VI9ZQwhNwOeAnaYn1ltWkitOtoYQflCe\nNvmZEEKmHrPGGG8Grie5KmYjyZv2vTXMOZl6/L2a7jhVkULWLwIfBErVyDfWLLPuDzwD/Fv59+pf\nQggd1co6n1jT6i/rXNY061lNs06mHn+vpjtOVTRKTbOe1U6j1DTrWf1lxZo226yTqbffq+mOUxWN\nUs/AmlYrjVLPUsg6dhxrWkpZsabNJudk6vH3arrjVIU1LT2pN7JCCJ3A94G/jjH2jL0vJu25mPZz\nzlRaWUMIy4FvAm+NMVblhyqFrO8Gfh5j3FCNfGOlkLUZOIGk+L2YZFrq2eknnX3WEMLzgReQdMf3\nAf4khHBCveWcSyn+Xk06TlpS+Pd/DfB0jPG2auQb91xp/F79IfC/YoxHAf0kU4O1Cwv0d8+aVmY9\nS7+epZF1LlnT0mc9q51G+d2znlWHNW1h1zTrWXVY02qjUX7vwJpWLdY0/+6INS11jVDTUm1khRBa\nSL7hK2KMPyjf/FT5DXf0jffp8u2PA/uOefiK8m2T3Z6qlLISQugGfgb8fYzxlrRzppj1pcC5IYRH\ngM8CZ4UQLq7TrBuAtTHGh2OMReBHJL8I9Zj1dOCWGGNfjLGPZD3bl9Yw52Tq8fdquuPUY9aXAa8r\n/159m+R/KL5Vp1k3ABtijKNXmVxJFX6v5hNr2sKuadaz9OvZDLJOph5/r6Y7Tj1mrXpNs57VTqPU\nNOuZ52jWtJr/Xk13nFQ1Sj1LMas1bZoapZ6lmNWaVp2s1rSZ55xMPf5eTXecesxqTRsjtUZWCCEA\n/wrcG2P8/Ji7rgLeUv78LSTrLI7eflZIHAdsi8l0tWuAk0MIS0IIS4CTy7elJq2sIYQs8EPgGzHG\nK9PMmHbWGOOZMcbnxRhXklxx8I0YY6pd0RR/Bm4FFocQdi8f9yfAPXWa9VHgj0MIzeVf+j8GUpvi\nO4Ock7kVOCiEsH/55/ZN5TFSk1bWXYxTd1ljjB+KMa4o/169CfhVjPEv6jTrk8BjIYRDyje9gpR/\nr+YTa9rCrmnWs/Tr2QyzTsaaVoWs1a5p1rPaaZSaZj3zHM2aln5Ns555jjafNEo9SzOrNa06WbGm\nzSbnZDxHq0JWa9rOT5LWRmB/RDLF7E5gbfnj1cBSkg3JHgSuA3YrHx+Ar5Ks7XoXcMyYsd4GrCt/\nvDWtjGlnBf4CKIwZYy1wZD1mHTfm2VRh08WUfwZOKo9zF3A5kK3HrECGZEPGe0l+OT9f45x7kXTA\ne4Ct5c+7y/e9Gnig/D38fR38+0+YdbJx6jHruDFXUYVNF1P+GTiSZGPQO0muOFqSdt758pHWe0T5\nPmtaFV7XMWOeTco1LeV/f+vZzLNa0+b4dR0z5ipSrmkp//tbz6r72tekpqWVE+tZNf/9rWkzz1qT\nmpZWzsnGqces48Zchedo8+YjrfeI8n2eo1XhdR0z5tlY0xqips0gp+doc/y6jhlzFQu8poXyk0iS\nJEmSJEmSJEl1JdU9siRJkiRJkiRJkqS02MiSJEmSJEmSJElSXbKRJUmSJEmSJEmSpLpkI0uSJEmS\nJEmSJEl1yUaWJEmSJEmSJEmS6pKNLEmSJEmSJEmSJNUlG1mSJEmSJEmSJEmqSzayJEmSJEmSJEmS\nVJdsZEmSJEmSJEmSJKku2ciSJEmSJEmSJElSXbKRJUmSJEmSJEmSpLpkI0uSJEmSJEmtnVIPAAAg\nAElEQVSSJEl1yUaWJEmSJEmSJEmS6pKNLEmSJEmSJEmSJNUlG1mSJEmSJEmSJEmqSzayJEmSJEmS\nJEmSVJdsZEmSJEmSJEmSJKku2ciSJEmSJEmSJElSXbKRJUmSJEmSJEmSpLpkI0sCQgiPhBAGQwh9\nIYSnQgiXhxA6x9x/eQihGEJYPu5xF4YQCuXHbQ0h/FcI4aXl+84OIYyU7xv7sfcEz/nk+OeUJGk6\nQggfCiFcPe62Bye57U0h8XflrwdDCI+GED4dQmgdd/zxIYRfhRB6QwjbQgg/CSEcNub+VSGE0pg6\ntyGE8N0Qwour+x1LkhrRrs6Dyp8Pjzt/umPMY98eQrivXJOeCiH8PITQNeaxF5U/XxlCiGPGeCqE\n8NMQwknjssQQwvPH3XZhCOFb5c/H17jRj9FzvsNDCL8IITxbPh+8LYTw6uq+gpKkRhZC+PMQwppy\nPdkYQrg6hPBH5fsOCyFcVT7v6g0hXB9COH7MY8fXt0dCCOePG/+REMLTIYSOMbe9I4Swes6+SakK\nbGRJz3ltjLET+EPgGOAjAOU3/tcD24C/mOBx3yk/bnfgRuAHIYRQvu/mGGPnuI8nJnjOI4GjgA9V\n5TuTJC0ENwDHhxAyAOWLL1qAo8bd9vzysV8GzgHOArqAVwGvAL47OmD5D3W/AH4M7A3sD9wB3BRC\nOGDMcz9RrmddwHHAfcBvQgivqNp3K0lqZLs6D7p03PnTHwCEEP4Y+BTw5hhjF/AC4DtTPM/i8vP8\nAXAt8MMQwtnTzPrEBOd0N5fv+0l53L2APYD3Aj3THF+StECEEN4PfJGknu0JPA/4GnBqCOFA4Cbg\nLpLzrr2BHwK/GL2AYozR+nYG8NHxF2oAGeB9VftGpBqwkSWNE2N8HLgaOKJ80+uBrcDHgbfs4nEF\n4N9JTmKWTvM5nwSuITmRkyRpJm4laVyN1pITgOuB+8fd9hDQAbwbODPGeHOMsRhj/D1JzTslhPAn\n5eMvBb4RY/xSjLE3xvhsjPEjwC3AheMDxMSGGOMFwL8Al1TjG5UkzQ/TPA96McmFgreXH/tsjPHf\nY4y9lTxPjPFLJLXrkhDCrP8WEkJYRvKHxn+OMQ6XP26KMd4427ElSfNPCGERyd8W3xNj/EGMsT/G\nWIgx/iTG+HckNermGOPfl2tcb4zxy8A3meS8Ksa4Bvg9O9fRzwAfCCEsrto3JM0xG1nSOCGEfYFX\nA7eXb3oL8H+AbwOHhhCOnuRxrcDZwGMxxk3TfM4VJFfCr5thbEnSAhdjHAZ+C5xYvulE4Dcks4XH\n3nYDycyrDTHG/ztujMdImlQnhRDageOB703wdN8Fxl/1N94PgD8cu6SFJEljTfM86LfAK0MI/xBC\neNn4pXAr9AOSmVOHzOCx420myf2tEMJpIYQ9UxhTkjR/vRTIkcyymshJTH7u9bIQQtv4O0IIx5Fc\niD++jq4BVgMfmGlYqd7YyJKe86MQwlaSP/j9GvhUCOF5wMuB/4gxPgX8kmQJprH+rPy4x4CjgdPH\n3Hdcea300Y+HJnjO3vJjnwY+lv63JUlaQH7Nc02rE0gaWb8Zd9uvgWXAxknG2Fi+fzeS/1ec6LjR\nY3blCSAAXgUoSRpvV+dBHxh3DvXvADHG3wD/g2Qp+J8Bm0MInx9dPrdCo8u87zaNx+w9Ls/WEEJH\njDGSnCs+AnwO2BhCuCGEcNA0xpYkLRxLgU0xxuIk9092jraR5LxsbO3aFEIYBG4mWZrwRxM87gLg\nvBDC7jOPLNUPG1nSc06LMS6OMe4XY3x3jHEQ+Evg3hjj2vIxVwB/HkJoGfO475Yft0eM8U9ijLeN\nue+W8n2jHwdO8JxdwCrgUKb+o6AkSbtyA/BHIYTdgN1jjA8C/0Wyd9ZuJFfr3QBsApZPMsby8v1b\ngNIkx40esyv7AJFkeV5Jksba1XnQZ8edQ21f3j3GeHWM8bUkf8w7lWRFjHdM43n3Kf/32fJ/R0iW\n5R2rBSiM+fqJcXkWxxj7y3k2xBjPLZ/n7Qf0A9+YRh5J0sKxGVgWQmie5P7JztGWk5yXbRlz2zKg\nE/hbklo6vpYRY7wb+Clw/swjS/XDRpa0a2cBB4QQngwhPAl8nqRYvDrNJ4kx/hq4HPhsmuNKkhac\nm4FFwP8k2SiYGGMPyRXo/5Pkj3H/DfwK2DeEcOzYB5eX1z0O+GX5j3Q3A2+Y4Hn+jGSW8q6cDvxu\n9I99kiSNN9PzoBhjKcb4S5J6dsRUx49xOskMsPvLXz8KrBx3zP7A+unkKWd6DPjqNPNIkhaOm4Eh\n4LRJ7r+Oyc+9bo4xDoy9McY4EmP8PJAn2f94Ih8jOQ/cZ5L7pYZhI0uaRAjhpcCBwLEkmyYeSXJS\n8h/svLxgGr5IsifJH1RhbEnSAlCeTbwGeD/JkoKjbizfdkP5uAeArwNXhBCOCyFkQgiHA98Hrosx\nXld+3PnAW0II7w0hdIUQloQQLiJZ3/0fxj9/SOwTQvgYyRXyH67OdypJmkcqOg8KIZwaQnhTuRaF\n8sUYf0yyt+MuhRD2DCGcS/IHvQ/FGEvlu74DfCSEsCKE0BRC+P+A1wJXVjDmkvJ+Xc8vP3YZ8LZK\n8kiSFp4Y4zaS5f6+Wt5bsT2E0BJCeFUI4VKS86vjQwifDCHsVj7/Oo/kb5D//y6Gvhj4YAghN8Fz\nriOpde9N/zuS5paNLGlybwF+HGO8K8b45OgH8CXgNeUlmqby0hBC37iPF090YIzxGZJlKC5I71uQ\nJC1AvybZyP7GMbf9pnzbDWNuOxf4F+BbQB/wnyQbAr9+9IAY443AK0n2JNlIcoX6UcAflZctHLV3\nCKGvPM6twAuBVTHGX6T5jUmS5p8JzoM+OO78aXQp2y0kV5U/CPSQ1K/PxBiv2MXwW0MI/cBdJKtq\nvCHGeNmY+z9OsgTvjeXxLwXOLC/HNGrvCc7pXg8Mk8zmuq6c526SK+3PntELIUma92KMnyO5wPAj\nwDMke0WeC/yofH71R8AfkOy/uJHk3OyVMcabdjHsz3iuRk7k40BHGvmlWgrJ/qSSJEmSJEmSJElS\nfXFGliRJkiRJkiRJkupSRY2sEMIpIYT7QwjrQgjnT3D/2SGEZ0IIa8sf70g/qiRJs2dNkyTNB9Yz\nSdJ8YU2TJE2leaoDQggZ4KvAScAG4NYQwlUxxnvGHfqdGOO5VcgoSVIqrGmSpPnAeiZJmi+saZKk\nSlQyI+tYYF2M8eEY4zDwbeDU6saSJKkqrGmSpPnAeiZJmi+saZKkKU05IwvYB3hszNcbgJdMcNzr\nQwgnAg8AfxNjfGz8ASGEc4BzAHK53NHPe97zpp+4BkqlEk1NjbGdWNpZQykDMRAzxdTGHNUor2uj\n5ASzVstCz/rAAw9sijHunuqgtWNNa5Cf50bJCWatFrOmr1FyQvWyzqOaZj1rkJ/nXMyQiYH+pvTP\np6qhUV5XMGs1NEpOMOs8qmdgTVvwP8/V0ihZGyUnmLVaFnrWimtajHGXH8AZwL+M+fovga+MO2Yp\n0Fr+/K+AX0017sEHHxwbxfXXX1/rCBVLO+vtv1oXb/rR7+Ng/1Cq48bYOK9ro+SM0azVstCzAmvi\nFO/pjfJhTWucn+dGyRmjWavFrOlrlJwxVi/rfKlp1rPG+XnO33B/HPz5nXFk60Cto1SkUV7XGM1a\nDY2SM0azzpd6Fq1pMUZ/nqulUbI2Ss4YzVotCz1rpTWtkvbZ48C+Y75eUb5tbDNsc4xxqPzlvwBH\nVzCuGsBwPrlyMN8/XOMkkpQKa5okaT6wnjWIOJScT5V6BmucRJLqljVNkjSlShpZtwIHhRD2DyFk\ngTcBV409IISwfMyXrwPuTS+iaqVUihSHRwDI99nIkjQvWNMkSfOB9awBxJESFJLzqWgjS5ImY02T\nJE1pyj2yYozFEMK5wDVABrgsxvj7EMLHSaZ9XQW8N4TwOqAIPAucXcXMmiPFoefWcXdGlqT5wJom\nSZoPrGcNYvi586lSb76GQSSpflnTJEmVmLKRBRBj/Dnw83G3XTDm8w8BH0o3mmpteEwja9BGluZI\noVBgw4YN5PP1c7K/aNEi7r23MS74mk3WXC7HihUraGlpSTlVfbGmSZoL1rPZmW3WhVDTrGf1b3RZ\nwXwYIdeTJ8ZICKHGqaTps6bNjudoU7OmSZor1rTZqWVNq6iRpYVpdH+sbK7ZpQU1ZzZs2EBXVxcr\nV66smxP93t5eurq6ah2jIjPNGmNk8+bNbNiwgf33378KySRpYbGezc5sslrTVC9GG1lbm4bZayRD\nHBgmdLTWOJU0fda02fEcTZLqhzVtdmpZ0yrZI0sLVKF84tW1tJ38QIEYY40TaSHI5/MsXbq0borJ\nQhFCYOnSpXV1RYokNTLrWe1Y01Qv4lABgK2Z5L/uk6VGZU2rDeuZJKXPmlYbadQ0G1ma1OiMrO7d\n2omlyNBgocaJtFBYTGrD112S0uX7au342qsejM7I6mkqQAiUevxjtBqX76u14esuSenzvbU2Zvu6\n28jSpApDRZpbmmjvSpa/yLtPliRJkiRVZqgI2WZKAUJnqzOyJEmSpBmykaVJDeeLtORayHVmAdwn\nSwtGJpPhyCOP5IgjjuANb3gDAwMDuzz+U5/61Kye70c/+hH33HPPrMaQJGk865lUW3GoQGhNtqVu\n6m6j1JN3uXZphqxpkqT5wpo2MzayNKnCUJFsa4ZsrpmmTGDQGVlaINra2li7di1333032WyWyy67\nbJfHW1AkSfXIeibVVhwqbm9khe4cDBeTWVqSps2aJkmaL6xpM9Nc6wCqX8P5Il27tRNCINeedWlB\nzbnffPcBNj3Wl+qYy/bt5IQ/O7ji40844QTWrFkDwGmnncZjjz1GPp/nfe97H+eccw7nn38+g4OD\nHHnkkRx++OFcccUVfOtb3+LLX/4yw8PDvOQlL+FrX/samUyGzs5O3ve+9/HTn/6UtrY2fvzjH/PQ\nQw9x1VVX8etf/5qLLrqI73//+/zsZz/j61//Os3NzRx22GF8+9vfTvU1kCTNresv/yeeXv9wqmPu\nsd8BvPzscyo+3nomzb04VCR0tkJ/MiMLoNQzSCbXUuNk0sxt/clDDD/Rn+qY2b07WPzaAys+3pom\nSUrD1VdfzZNPPpnqmHvttRevetWrKj7emlY5Z2RpQjHG7TOyAHKdWZcW1IJTLBa5+uqrOfzwwwG4\n7LLLuO2221izZg1f/vKX2bx5MxdffPH2KymuuOIK7r33Xr7zne9w0003sXbtWjKZDFdccQUA/f39\nHHfccdxxxx2ceOKJ/PM//zPHH388r3vd6/jMZz7D2rVrOfDAA7n44ou5/fbbufPOO/n6179ey5dA\nkjQPWM+kuRdjhKEioTVpWoWuXHJ7T76WsaSGZ02TJM0X1rTpcUaWJjRSLFEaibTkkh+RXEeWLU/1\nEWMkhFDjdFoopjNzKk2jVzpAcmXEWWedBcCXv/xlfvjDHwLw2GOP8eCDD7J06dIdHvvLX/6S2267\njRe/+MXbx9pjjz0AyGazvOY1rwHg6KOP5tprr53w+V/0ohdx5plnctppp3Haaael/w1KkubUdGZO\npcl6JtVQYQRifG5pwZYMoT1LqWewxsGk2ZnOzKk0WdMkSWmbzsypNFnTZsZGliZUyCdrt2fLVxC2\ndWSJpcjQYIFce7aW0aSqG73SYVRvby+rV6/muuuu4+abb6a9vZ1Vq1aRz+98RW2Mkbe85S18+tOf\n3um+lpaW7Y3gTCZDsTjxHgk/+9nPuOGGG/jJT37CJz/5Se666y6am327liRNj/VMqp1Y3gtrtJEF\nELrbiNtsZEkzYU2TJM0X1rSZcWlBTWi4fOLVkntuaUHA5QW1YG3bto0lS5bQ3t7Offfdxy233LL9\nvpaWFgqFAgCveMUruPLKK3n66acBePbZZ1m/fv0ux+7q6qK3txeAUqnEY489xstf/nIuueQStm3b\nRl9fuvuESZIWLuuZNDe2N7Kyz/1RoKk7RxwcJhZGahVLmlesaZKk+cKaNjUbWZrQ+BlZuY5yI6vf\nRpYWplNOOYViscgLXvACzj//fI477rjt951zzjnbp+UedthhXHTRRZx88sm86EUv4qSTTmLjxo27\nHPtNb3oTn/nMZzjqqKN48MEH+Yu/+Ate+MIXctRRR/He976XxYsXV/vbkyQtENYzaY4MJX9sINey\n/abQ3QZAdHlBKRXWNEnSfGFNm1r9zxlTTTw3Iyv5EcnmmmnKBAZtZGkBmOhKhNbWVq6++uoJj7/k\nkku45JJLtn/9xje+kTe+8Y27HPeMM87gjDPOAOBlL3sZ99xzz/b7brzxxhlnlyRplPVMqp3JZmQB\nlHryNC3trEkuqVFZ0yRJ84U1bWackaUJFfJFQlOguSX5EQkhkGvPOiNLkiRJkqYQh4uQCdD83Cl3\naG2B1mZKvc7IkiRJkqbDRpYmNDxUpKW1efsGcZDsk+UeWZIkSZK0azFfIGRbdjifgvI+WT07b9wt\nSZIkaXI2sjShQr5ItjWzw225jiz5gQIxxhqlkiRJkqQGMFyE1p1X8g9dbcS+PHGkVINQkiRJUmOy\nkaUJDQ8VyY7ZmBigrSNLLEWGBgs1SiVJkiRJ9S/mi4QJGllN3W0QIfYN1SCVJEmS1JhsZGlCw/ki\nLbkdT7xynVkAlxeUJEmSpF2IwxM3skJ3DoBSj/tkSZIkSZWykaWdlEqR4vAILRMsLQiQ77eRJUmS\nJEkTiSMlKIwQWlt2ui+0ZyHTRLSRJUmSJFXMRpZ2UhgqAuy0tGA210xTJjBoI0vzXCaT4cgjj+SI\nI47gDW94AwMDA7s8ftWqVaxZs2an2y+//HLOPfdcAL7+9a/zjW98Y9pZtm7dyte+9rXtXz/xxBOc\nccYZ0x5HkrTwWM+kGhlOzqcm3CMrBEJ3jlJPfo5DSY3NmiZJmi+saTNjI0s72d7IGnfiFUIg15F1\nRpbmvba2NtauXcvdd99NNpvlsssum/WY73znOznrrLOm/bjxBWXvvffmyiuvnHUeSdL8Zz2TaiOW\nz6cmWloQkn2yYm+eGONcxpIamjVNkjRfWNNmZuL/s9aCNpxPTrzG75EFyfKCg71uTKy58d93PUn/\ntnSvVu1YlGP/F+5V8fEnnHACa9as4ZFHHuE1r3kNd999NwCf/exn6evr48ILLwTgm9/8Ju94xzso\nFotcdtllHHvssTuMc+GFF9LZ2ckHPvAB1q1bxzvf+U6eeeYZMpkM3/ve99hzzz059dRT2bJlC4VC\ngYsuuohTTz2V888/n4ceeogjjzySk046ife85z3bc+Tzed71rnexZs0ampub+fznP88xxxzD5Zdf\nzlVXXcXAwAAPPfQQp59+OpdeeikjIyO8/e1vZ82aNYQQeNvb3sbf/M3fpPbaSpIm9vAtv6F/86ZU\nx+xYuowDjjuh4uOtZ9LciUMFgAmXFoTyPlkjJWL/MKGzdS6jSbNWuOcJSr3pnqM1deVoOWzvio+3\npkmS0vDII4/Q39+f6pgdHR2sXLmy4uOtaZWzkaWdTDYjC5JG1pan+ogxEkKY62jSnCoWi1x99dWs\nWrVqymMHBgZYu3YtN9xwA29729u2F56JnHnmmZx//vmcfvrp5PN5SqUS2WyWH/7wh3R3d7Np0yaO\nO+44Xve613HxxRdz9913s3btWiApsqO++tWvEkLgrrvu4r777uPkk0/mtttuA2Dt2rXcfvvttLa2\ncsghh3Deeefx9NNP8/jjj2/PtnXr1pm/OJKkhmE9k+ZWJTOyAGLvINjIkqbFmiZJmi+sadNjI0s7\n2T4jqzWz031tHVliKTI0WCDXnp3raFpgpjNzKk2Dg4MceeSRQHJlxFlnnUVvb+8uH/PmN78ZgBNP\nPJGenp5J36x7e3t5/PHHOf300wHI5XIAFAoFPvzhD3PDDTfQ1NTE448/zlNPPbXL57zxxhs577zz\nADj00EPZb7/9WLduHQCveMUrWLRoEQCHHXYY69ev5/DDD+fhhx/mvPPO40//9E85+eSTK3k5JEmz\nNJ2ZU2mynkm1MdrIIjvx6XbobIUQKPXkySyfw2BSCqYzcypN1jRJUtqmM3MqTda0mbGRpZ0U8kWa\nWzI0ZXbeQi3XmTSv8n3DNrI0b42uVTuqt7eX5uZmSqXS9tvy+R2X0xg/Q3G6MxavuOIKnnnmGW67\n7TZaWlpYuXLlTs8xHa2tz13dm8lkKBaLLFmyhDvuuINrrrmGr3/963z3u99NZR1eSVJ9sp5JNTJU\nhGwzoWni35/Q1EToaiX2DM5xMKlxWdMkSfOFNW1mdu5UaMEbHipOuD8WJEsLAuT7h+cyklRze+65\nJ08//TSbN29maGiIn/70pzvc/53vfAdIrlZYtGjR9qsSxuvq6mLFihX86Ec/AmBoaIiBgQG2bdvG\nHnvsQUtLC9dffz3r16/ffvxkV2WccMIJXHHFFQA88MADPProoxx00EGTfg+bNm2iVCrx+te/nosu\nuojf/e5303sRJEkNz3omVV8cKky6rOCopq42Sj2DxBjnKJU0/1jTJEnzhTVtas7I0k4K+eKE+2MB\nZHPNNGUCgzaytMC0tLRwwQUXcOyxx7LPPvtw6KGH7nB/LpfjqKOOolAoTHm1wTe/+U3+6q/+igsu\nuICWlha+973vceaZZ/La176WF77whRxzzDHbx1+6dCkve9nLOOKII3jVq17Fe97znu3jvPvd7+Zd\n73oXL3zhC2lububyyy/f4YqI8R5//HHe+ta3br/C49Of/vRMXw5JUoOynknVF4eKUzayQncOHt+S\nzN7KtcxRMml+saZJkuYLa1oFYow1+Tj44INjo7j++utrHaFiaWRd84sH4v1rNkx6/+2/WhfvuWX9\nrJ+nUV7XRskZ4/zIes8998xtkAr09PTUOkLFZpt1otcfWBNrVCsa5cOalr5GyRmjWaul0bNaz2Yn\njazWNOtZrQz+6t44dMej27+eKOvI5r44+PM7Y/GpbXOYbGr1/LqOZ9b0eY5WHZ6jWdOm0ijvETGa\ntRoaJWeM8yOrNW12alnTXFpQO4gxUhgqkm3NTHpMriNLvs8ZWZIkSZI0VowRhoqE1l3Psgrdycbb\nsWfmexNIkiRJC4WNLO1gpFiiNBJp2cXyFrmOLPmBQnKSJkmSJElKFEYgxqmXFmzOENqzlHoG5yiY\nJEmS1LhsZGkHhXwRYNI9sgDaOrPEUmRosDBXsbTA2CStDV93SUqX76u142uvWolDyfnUVI0sgNDd\nRrSRpQbh+2pt+LpLUvp8b62N2b7uNrK0g+HyiVc2N/mJV64jC+DygqqKXC7H5s2bLSpzLMbI5s2b\nyeVytY4iSfOC9ax2rGmqpecaWbteWhCgqTtHHCwQCyPVjiXNijWtNqxnkpQ+a1ptpFHTpr5MTAvK\n6Iysll1cQbi9kdVvI0vpW7FiBRs2bOCZZ56pdZTt8vl8w5w8zCZrLpdjxYoVKSeSpIXJejY7s81q\nTVPNDJVXrahwRhZA7BkkLO2sZippVqxps+M5miTVD2va7NSyptnI0g5GZ2S17GJGVjbXTFMmMGgj\nS1XQ0tLC/vvvX+sYO1i9ejVHHXVUrWNUpJGyStJ8Zj2bnUbKKo01naUFm7qTPwKUevI02chSHbOm\nzU4jZZWk+c6aNju1zOrSgtrBcL5IaAo0t0z+oxFCINeRdUaWJEmSJI0Rh4qQCZCZ+lQ7tLZAazOl\nXvfJkiRJknbFRpZ2UBgq0tLaTAhhl8flOrLukSVJkiRJY8ShAiHbMuX51Kim7hyxJ1/lVJIkSVJj\nq6iRFUI4JYRwfwhhXQjh/F0c9/oQQgwhHJNeRM2l4XyR7C6WFRyV68iSHyi4MZ6khmNNkyTNB9az\nOjVUhArOp0aF7jZiX544UqpiKEmqb9Y0SdJUpmxkhRAywFeBVwGHAW8OIRw2wXFdwPuA36YdUnOn\nMFQkW8F67m2dWWIpMjRYmINUkpSO6tU0m/qSpLnjOVr9ikNFQrbyRlZTVxtEiH1DVUwlSfXLmiZJ\nqkQlM7KOBdbFGB+OMQ4D3wZOneC4TwCXAK6L0MCG80VaKpyRBbi8oKRGU5WaFkZG0ksoSdLUPEer\nU3G4SMi1VHx86M4BUOpxnyxJC5Y1TZI0pTDV0nAhhDOAU2KM7yh//ZfAS2KM54455g+Bv48xvj6E\nsBr4QIxxzQRjnQOcA7D77rsf/d3vfje1b6Sa+vr66OzsrHWMiswqa4Rszx4UW/so5QZ2fWypiWzv\nMoq5XkqtMzvpapTXtVFyglmrZaFnffnLX35bjHFeLN1QrZq2/z57H33Zt66Yi29h1hrl57lRcoJZ\nq8Ws6WuUnFC9rPOlpnmOVp8/zyHCS/JLebR5gCdanjtH2mXWCMfkl7ApM8wj2f45Sjq5enxdJ2PW\n9DVKTjDrfKlnYE0Df56rpVGyNkpOMGu1LPSslda0ytc8mEQIoQn4PHD2VMfGGP8J+CeAQw45JK5a\ntWq2Tz8nVq9ezULIOjRY4LZfPMjBhx7EXiuX7PLYGCO//dl97LvPfux/xF4zer5GeV0bJSeYtVrM\nunDMtKYdesBKa1rKGiUnmLVazJq+RskJjZW1HnmOVhtxcJih1fdzwKEHcfC+u22/faqsQ7c8xPII\nK1/64jlIuWv1+LpOxqzpa5ScYNaFxJpWX8yavkbJCWatFrNWppKlBR8H9h3z9YrybaO6gCOA1SGE\nR4DjgKvceLHxFPJFgIr2yAohkOvIku93aUFJDaU6NW2K2c2SJKXMc7Q6FMvnU6GC86mxmrrbiL2D\nTLVaiiTNU9Y0SdKUKmlk3QocFELYP4SQBd4EXDV6Z4xxW4xxWYxxZYxxJXAL8LqJpviqvg0PJSde\nleyRBck+We6RJanBVKemRYilUhVjS5K0A8/R6lAcLgAQWivfIwsgdLfBSCR6kaCkhcmaJkma0pSN\nrBhjETgXuAa4F/hujPH3IYSPhxBeV+2AmjuFocpnZEG5kTVQ8MpBSQ2jejUtMhXq37wAACAASURB\nVDw4xd6CkiSlxHO0+hSHZjojK5c8vmdmew9LUiOzpkmSKlHR/2HHGH8O/HzcbRdMcuyq2cdSLQyX\nl8Joac1UdHxbZ5ZYigwNFsi1Z6sZTZJSU62aNtTXR2tHY2zOKUlqfJ6j1Z/RRhbZ6TWyQmcrhECp\nZ5DM3ourkEyS6ps1TZI0lUqWFtQCUcgXaW7J0JSp7Mci15E0r1xeUJJgqK+31hEkSVItDRUh20xo\nCtN6WGhqInS1EnvyVQomSZIkNTYbWdpueKhY8f5YMKaR5VruksRQv40sSZIWsjhUmPaygqOautso\n9Q66bLskSZI0ARtZ2q6QL1a8PxZANtdMUyYwaCNL0oIXnJElSdICF4eKM25khe4cDI8ks7okSZIk\n7cBGlrab7oysEAK5jqwzsiQpBIb6+mqdQpIk1VAcKsIsZmQBlHoG04wkSZIkzQs2sgRAjDGZkTWN\nRhYkywu6R5akBS84I0uSpIUsxghDRUJry4weH7pyyTg2siRJkqSd2MgSACPFEqVSpGWaVxDmOrLk\nBwqu5T5Ng33DlEZKtY4hKS0huEeWJEkLWWEEYpz50oLNGUJ7llJPPuVgkiRJUuOzkSUAhvPJWuzT\n2SMLoK0zSyxFhgYL1Yg1LxULI9xx/UM8sW5zraNISksIjAwPUxweqnUSSZJUA7G8t9VMG1kAobvN\nGVmSJEnSBGxkCYBC+cRrJksLAi4vOA29zw5QKkV6Ng/UOoqklMQQANwnS5KkBeq5RtbMlhYEaOrO\nEQcLxMJIWrEkSZKkecFGlgAolGdkzWRpQYB8v42sSo02sHq3DrokozRfbG9kubygJEkL0lB5hYpZ\nzsgCKDkrS5IkSdqBjSwBMDzDGVnZXDNNmcCgjayKjTayRgolG4DSvGEjS5KkhSyNpQWbunPJWO6T\nJUmSJO3ARpaAZI+s0BTItEzvRyKEQK4ja0OmQiMjJfq2DLJ4j04Aerd4taU0L4RAaGpiqN+lBSVJ\nWojiUBEyATIzP8UOrS3Q2uyMLEmSJGkcG1kCkqUFW1qbCeXlsaYj15F1j6wK9W0ZJEbYa+USmjJN\n9NnIkuaN1o5OZ2RJkrRAxaECobVlRudTYzV1txF7nZElSZIkjWUjS0CytOB0lxUc1daRJT9QcL+n\nCowuK9i9tJ3OJTlnZEnzSGtnl40sSZIWqqHirPbHGhW6c8S+PHGklEIoSZIkaX6wkSUACkNFsjM8\n8cp1ZomlyNBgIeVU80/P5gHau1tpzmboXNzGwLY8JU9SpXnBRpYkSQtXHCoSsrNvZDV1tUGE2Oes\nLEmSJGmUjSwByR5ZLTOckZXryAK4vOAUSqVI77MDdC9tB6BrSRsxQv82T1Kl+aC1s5PhgX5KpZFa\nR5EkSXMsDhUIuZZZjxO6cwCUejxHkCRJkkbZyBKlUqQ4PDLzGVmjjax+G1m70r8tT2kkbm9kdS5p\nA3B5QWmeaO3sAmC4v7/GSSRJ0lyKIyUollKZkRXas9DcROzxHEGSJEkaZSNLFIaKAP+PvXuNkWQ9\n78P+f6uq69JV3TM93bN7ds/OzvJ2KJG6mCYpCbIdhYocyzBg5YOQ2EGEfDGEABEQwJ8MBHAAI5+c\nIEAAGUgCwYEBwxHoJFYYh5FEGlR0MSVTpChSh+fKc/Z29jbTPT3dXffLmw/V1buzl7l1VfXt/wMO\nzk5vT/W7vb1T/fa/nue5dEWWbmpQVAGfQdapnp2PBQCG1YBuapgwyCJaC4adB1lsL0hERLRZ5HQ/\nVcqMLCEgWhYrsoiIiIiInsEgixAH+cbrshVZQgiYts7WgmcY9V2Ytg79mZYjTsfCZMggi2gdFBVZ\nDLKIiIg2zDTIEiUEWQCgtE3IsQ8pZSnHIyIiIiJadQyyCNGcFVlA3l6QrQVfTUqJcd+fVWMVnI6F\nwI1nVXFEtLoM2wEAhJPJgldCREREdZJRDAAQxvwzsgBAtC0glZBuWMrxiIiIiIhWHYMselqRNUeQ\nZdk6Ai/mVYOv4I1DJHH6QpDVms7JYlUW0epTNA0Ny2JFFhER0YaRQfkVWQAg2V6QiIiIiAgAgyzC\nMxVZunrpY5iODplJhH5c1rLWyvi5+VgFZzsPssack0W0Fgy7hdBlkEVERLRJZDTtrqCXE2QJxwSE\nQDbiHoGIiIiICGCQRQCiIIHWUKGol385mLYOAJyT9Qqjvgfd1GA0T7YbUTUFzZaBCYMsorVgOC1W\nZBEREW2aMAZ0DUIRpRxOKAKiZbAii4iIiIhoikEWIQ6TueZjAXlrQQDwOSfrBVJKjPoe2t0mhHhx\nc+t0LEyOArZlJFoDhuMgnEz475mIiGiDyDApra1gQWlbyEY+31MQEREREYFBFiGfkaXPufFqmBoU\nVSBgkPWC0IsRBQlaz7UVLLQ6FpI45XNHtAYMp4UsTZAEvIKaiIhoU1QRZIm2CcQpMJ2/RURERES0\nyRhkEaIwgT5nRZYQAqats7XgS4xeMR+r4HTyOVlsL0i0+gy7BQCck0VERLRB8iCrcfYdL0Bp53sE\nzskiIiIiImKQtfGklIiD+VsLAvmcLFYVvWjU96A18llYL9NsG1BUgfERKziIVp3hTIMszskiIiLa\nCFJKIEyAsiuyWmZ+/DGDLCIiIiIiBlkbLk0yZJlEo4SNl2XrCLyYfdyfM+p7aL1iPhaQV7M52xYm\nR17NKyOisj0NsiYLXgkRERHVIk4BKctvLaipELaObMSL3YiIiIiIGGRtuGjac33e1oIAYDo6ZCYR\nevHcx1oXUZAgcKNXthUsOB0L7ihElmY1rYyIqqAZBhRNQ8CKLCIioo0gw3w/VXaQBQCiZUGytSAR\nEREREYOsTRdPN156CRsv09YBgO0FnzGbj7VzepDV6liQmYR7zCsuiVaZEAKG00LEGVlEREQb4WmQ\nVe6MLABQ2iakH0PGaenHJiIiIiJaJQyyNlxRkVXGjCxrGmT5DLJmRn0Xiipgb1un3s/p5L8/GTLI\nIlp1htNiRRYREdGmCKfdKKqoyGrne4SMVVlEREREtOEYZG24MiuyGqYGRRWsyHrGqO+h1WlCUV4+\nH6ugmxoahobxETepRKvOsB1EnJFFRES0EapsLahMgyzJOVlEREREtOEYZG24KEggFAG1Mf9LQQgB\n09YRTBhkAUASp/BGIdq909sKAvlz1+pYmDDIIlp5htNCHPhIE84LJCIiWncyjAFVAGr5W2thaICh\nsSKLiIiIiDYeg6wNFwcJdEODEKdXDJ2XaeusyJo673ysgtOxELgR4iipcllEVDHDaQEAQlZlERER\nrT0ZJhBGo7T91POUtgXJIIuIiIiINhyDrA0XhUkp87EK1jTIklKWdsxVNep7EOLp/KuztIo5WUds\nHUK0yp4GWZyTRUREtPbCpJL5WAXRNiHdEDLNKnsMIiIiIqJlxyBrwxUVWWUxHR1SAqHHllrjvgdn\n24Kqne+fmb1tAgDbCxKtOMN2AAChy4osIiKidZdXZFUXZCltC5CAHPNiNyIiIiLaXAyyNlzZFVmm\nrQPAxrcXTJMMk6GPdvd8bQUBQGuosFoGxgyyiFaaYTuAEKzIIiIi2gAyjCGMRmXHF+28a0PGIIuI\niIiINti5giwhxC8KId4RQrwvhPgHL/n9/0II8X0hxHeFEH8ohPhM+UulsmWZRBKlpVZkWdMgy9/w\nIGty5ENKoHWBIAvI2wtOhj5bMxJVqOpzmlAU6E2bQRYREVWKe7TFk2kGJBmEXmFrQasBaArnZBHR\nWuM5jYiIznJmkCWEUAH8EwB/E8BnAPzdl5ww/oWU8sellH8JwD8G8D+UvlIqXRwmAFBqRVbD1KCo\nAsFks4OsUd8DgAtVZAH5PK0kStmakagidZ3TTKfFIIuIiCrDPdpykNP9VKUzsoSAaFnIGGQR0Zri\nOY2IiM7jPBVZPwXgfSnlB1LKCMBvAvilZ+8gpRw986UNgOUkKyAO8o1XmRVZQgiYtr7xrQVHfQ/N\ntgGtoV7o+1qdvHUI2wsSVaaWc5ruOJyRRUREVeIebRlMg6wqZ2QBgNI2IccBuzYQ0briOY2IiM4k\nznozLIT4ZQC/KKX8e9OvfwXAT0spf+25+/2XAP4+AB3Az0sp33vJsX4VwK8CwO7u7ue//OUvl/KH\nqNpkMoHjOItexrlcZK0i1tHwthHbA0gtKW0NmtuGyDTErcGp91uV5/XC65RAY7SLTPeRWhf8IHue\n78XqPKcA11qVKtb6pS996dtSyi+UetAFqeucpvQfQxkeIvn4ZwAhKvvzXMaqvJ5XZZ0A11oVrrV8\nq7JOoLq1rss5jXu05Xg9d1Idn45a+J4xhKekr7zfvGvtJQY+GTv4rjFEcMrjlGEZntfz4lrLtyrr\nBLjWdTmfATynAXw9V2VV1roq6wS41qps+lrPfU6TUp76H4BfBvAbz3z9KwB+/ZT7/6cA/tlZx33j\njTfkqvjGN76x6CWc20XW+ujDgfyj33pTBl5U6hpu/8Uj+W//rzdllmWn3m9VnteLrnPUd+Uf/dab\n8uD+8aUe7/t/8KH88//vg0t976o8p1JyrVWpYq0A/lSe8TN9Vf6r65z24Affl3/4G78ug8n4Us95\nlVbl9bwq65SSa60K11q+VVmnlNWtdV3OadyjLcfrOb59KP2vfk9m/un7qXnXmh570v/q92Ty0dFc\nxzmPZXhez4trLd+qrFNKrnVdzmeS5zQpJV/PVVmVta7KOqXkWquy6Ws97zntPK0FPwKw98zXN6a3\nvcpvAviPznFcWrComJFVcisM09EhJTZ2ztNl52MVnI4F9zhAlmZlLouIcrWc00ynBQCck0VERFXh\nHm0JzGZk6dW2FhSOCQjBOVlEtK54TiMiojOdJ8j6FoBPCSE+JoTQAfwdAF959g5CiE898+XfAvBC\neS8tnyhIoOkqFKXctlemrQPAxs7JGg08mLYO3bzchtbZtiAzCXcUlrwyIkJN5zRjWmYdTjgni4iI\nKsE92jKIYkDXIEreTz1PKAKiZUCOgkofh4hoQXhOIyKiM535SbuUMhFC/BqA3wGgAvinUso3hRD/\nCHnZ11cA/JoQ4hcAxACOAPznVS6ayhGHSenVWABgTYMs342wXfrRl5uUEuO+h51r7Usfo9WxAACT\nI3/2ayIqR13nNN1mRRYREVWHe7TlIMMEooL91MsobQvp4xGklBBLNn+TiGgePKcREdF5nOtdt5Ty\nqwC++txt//CZX/9XJa+LahAFCfQKNl4NU4OiCgSTzavI8sYhkji7dFtBANAtDQ1Dw+SIrUOIqlDH\nOU3TdWi6gdBlkEVERNXgHm3x6gyyRNsC7h8BQQxYei2PSURUF57TiIjoLOdpLUhrKg6TS7e/O40Q\nAqatb2RrwdHhfPOxgPz5a3UsjBlkEa00w2mxIouIiGiN5UFWo5bHUtomACBje0EiIiIi2kAMsjaU\nlBJRkKBRQZAFYHODrIEH3dRgNOfb0DodE4EbIY7SklZGRHUzHIczsoiIiNaUlBIIY6CuiqxWHmTJ\nES92IyIiIqLNwyBrQ6VJBpnJSloLAvmcrMCNIDNZyfGXkZQSo0MP7W5z7r71TjEna8iNKtGqYkUW\nERHRGotTQKK+1oKaCmHryMasyCIiIiKizcMga0NFQQIA1VVkOTqkBEI/ruT4yyj0YsRhMldbwYKz\nPQ2y2F6QaGUZTgtpHCGJwkUvhYiIiEomw3w/VVeQBeRzsjJWZBERERHRBmKQtaHiaZBVVUWWaecD\niDepveBxCfOxClpDhdUyOCeLaIUZTgsAWJVFRES0hmSYX7BX14wsAFBaFuDHkDHbjxMRERHRZmGQ\ntaGisNqKLGsaZPkbFGSNB94sgCqDs21icuTn/feJaKnFnvvCbYbtAADnZBEREa2j6X6qrhlZACDa\n+ZwsVmURERER0aZhkLWhqq7IapgaFFUgmGxOkDXqu6XMxyq0OhaSKEXobU57RqJVlSXJC7exIouI\niGh9LaK1oNLO249LBllEREREtGEYZG2oKEwgFAG1Uc1LQAgB09Y3prVg5McI3BitEtoKFpxOvlFl\ne0Gi5ZelLwZZDasJoSgMsoiIiNaQDGNAVSA0tbbHFIYGGBqyUVDbYxIRERERLQMGWRsqDhLohlZa\n9dDLbFKQNRqUNx+r0GybUFSBCYMsoqUnkwRpcrJ6UggBw2kxyCIiIlpDMkxqrcYqKG2LFVlERERE\ntHEYZG2oKEwqm49VsJw8yJLZ+s94GvU9KKqAs2WWdkxFEbC3TAZZRCti8OCjF24zbAehyxlZRERE\naydMap2PVRBtE9INIdOs9scmIiIiIloUBlkbqqjIqpJp65ASCP31n/E06nto7TQhlHIr3JyOhclx\ngGwDwkCiVXd4784Lt7Eii4iIaD0tsiILEpBjthckIiIios3BIGtD1VGRZdo6AKx9e8E4SuGNwlLb\nChZaHQsyk/COuVElWnaHd2+/cJvhtBB5LrI0rX9BREREVBkZxhBGo/bHFe18ji7nZBERERHRJmGQ\ntYGyTCKJUuhVtxacBln+ZL2DrHEF87EKTiffqI7ZXpBoqQlNe2WQBQAR2wsSERGtDZlmQJItpCJL\nWA1AUzgni4iIiIg2CoOsDRSHCQCgUfHGq2FqUFSx9hVZo74HIZ6GTmUyrAYahorJkBtVomWmqNor\nWgs6AMA5WURERGtETvdT0BcQZAkB0baQMcgiIiIiog3CIGsDRUG+8ap6RpYQAqatb0SQ5XQsqGr5\n/5yEEPmcLFZkES01RdMwOniC0PNO3F5UZHFOFhER0RoJ8xnAwqy/tSAAKG0TchxASs7RJSIiIqLN\nwCBrAdzjAB9+/9HCNh6ziqyKWwsCWPsgK00yuEO/kraChda2BX8SIYk4Y4doWSla/vO0f/9kVZbR\nnFZkLUGQlSYJ3v+DbwBJvOilnCkYj6A+eYAsSRa9FCIiWkLZsY+bcXNh+6miIkssoCILAJS2BWQS\n0g0X8viLJqVE/IMHsDN10UshIqI5jUYj3Lt3b9HLIKIVwCBrAZ7cHeLhB4OFBTyziqwagizLyYMs\nma3n1YLjIw9SVjMfq1C0LGR7QaLlpaj5z9PDuyeDLEXT0LCaCJYgyBo9eoDH7/4AymS06KWc6fDD\n96GMjzA+eLzopRAR0RJK7w9wPbEg/cVcnDELshYwIwsARMvM1zEKFvL4i5YNXKR3+riamIteChER\nzenRo0f46KOPkPAiRiI6A4OsBXCPgxP/r1tdM7KAvCJLSiBc0CazaqN+3kastVN9kDVme0GipSVU\nFQ3TeuWcrGiy+BlZbv8QACDC5f9ZUqx10j9Y8EqIiGgZZdMARy5oTtRsRtaigizHBBSxsXOysodD\nAMBW1mB7RSKiFedN2/N7z7XpJyJ6HoOsmkkpnwZZw8UEWVGQQNNVKIqo/LFMWweAtW0vOOp7sLdM\naI3q2lpoDRWWo3NOFtGS6+3dxOHd2y/cbjgtBO7iK7LcaSgkouW/ertYaxFoERERFaSUkOP8XLaw\nICeKAV2DENXvp15GKALCMRcW5C2STDOkD48BVYEhVUhvPfeZRESbIEkSBMH0M1LXXfBqiGjZMciq\nWejFSJMMAOAuqBVEHCS1VGMBeWtBAPAn67fByDKJyVG187EKTsfC+MjnFYdES6x38xYO7t154d+p\nYbcQTcYL//frDqahUBQu9eypNI7hH+dXWjPIIiKi50kvAtJ8P7Wo1noySBbWVrCgtE1ko2Dh7y/q\nlh1OgCSD9qmr+dd9fvBJRLSqnq3CYkUWEZ2FQVbNimos3dTgHi9m4xGFSS3zsYC8faGiirWsyHKH\nPrJU1hJktToWkihF6K1ni0aiddDb20cwHsEdHp243XBayNIUcbC4q6bTOIJ/PESz04UA4A0HC1vL\nWdxBHwAgdQPecLDUoRsREdWvqEJyRbKwiiwZLT7IEm0LiFMg2Kz9QfpgCOgq1P0uImTIBotv30xE\nRJdThFfNZpMVWUR0JgZZNSuCrA+/O0AcpoiD+j+gi4MEek0bLyEETFtfyyCrjvlYhWJO1mS4ee1D\niFZFb+8WALwwJ8twHABAuMA5WUU4dPWNHwUATJa40qloK5i1OoCUcI+WN3QjIqL6ZaMAEAJ9NQTC\n5Om8qhrJIIYwGrU/7rOUtgng6bywTSDjFNmTEdRr2xCKwLEaI+tPNq4qjYhoXbiuC03TsL29Dd/3\nkWXZopdEREuMQVbNJscB0ljCHcazr+skpUQUJmjUVJEFYK2DLMvRa6lua7ZNKIrAmHOyiJZW7+Y+\nALwwJ8twWgCAcLK4OVlFi77urY9DCmUWFi0jt38IzTCQ2a3p18u7ViIiqp8c+RCOgYmSB1h1V2VJ\nKYEoARZdkdXKg6xNmpOVPR4BmYR6bQsAMFJiIEohJ+GCV0ZERJfhui5s24Zt25BSwvc355xGRBfH\nIKtm7jDA5CiCP8o3Xm7NQVaaZJCZrK0iC8jnZAVuBJmtz5VyUkqM+h5aNbQVBABFEbC3TUwYZBEt\nrWZ7C/Z2B4d3n6/ImgZZ7uKCrEn/AJppQrcdSMNc6tlTk8EB7O4uoDWgNvSlXisREdVLSols5ENp\nW3CVNL+t7iAnTgGJxbcW1FQI29ioiqz0wRDCakBs53uwYyW/ODQ7ZHtBIqJVk2UZfN+HbdtoNvOf\n62wvSESnYZBVoyhIEIcJxv0QWSqRJrL2ICuatjKsuyJLSiD016d/uzcKkSZZLfOxCk7HgjsMkK1R\nIEi0brp7+zi8d/vEbZpuQGk0FluRNTiEvdODECIPsgaHkEvYtiHLUnhHA9g7PUAI2N0e3AGDLCIi\nmgoTIEoh2iZSISGsBrJxzR0upq0MFx1kAYBom8jGm3GhmwzzNoLK9W0IIQAAkZJBNHXOySIiWkG+\n70NKiWazCdM0oSgKgywiOhWDrBq506vl/FGCVteEdxzXHmQVM7nqrMgybR0A1qq9YDEfq84gq7Vt\nIcskvA266pJo1eze3Ef//j1kWTq7TQgBw3YWNiMry1J4gz6c7i4AQOomsiSBPzpeyHpO4w+HkGkK\nu9sDgFmQtYyhGxER1a9oI6i08/mxom3VXpElw/zivEXPyAKmz4MfQ0b1zwmrW/owf9+iXt8+cbvS\ndZAN3LXq/kFEtAmK0Mq2bQghYNs2PM9b8KqIaJkxyKqRO5wGWeMYP/qz1zA+DBF6MZI4PeM7yxOF\n9VdkWU4eZPmT9QqydEuDYdW3gXU6+Yad7QWJlldv7xaSKMTx40cnbjed1sIqsvzhEWSWzcIhaeQz\nNZaxZV8xD6sI3Zzu7tKGbkREVD85vaCrmA+ltE1IN4JM6ttPYbqfWvSMLODp81B3VdoipA+GEG0T\nimOeuF3p2kCSbdSsMCKideB5HhRFgWnmP9ebzSZc181nURIRvQSDrBq5xwHSRKLdtXD9U9vwRvHs\n9rrMKrJqDLIahgZFFWtTkVXMx2p3m7O2FnUwmg1ouooxgyyipdXb2weAF+Zk6U5rYTOyisDKnoZD\n0A0IRZmFRstk0j+EomqwtvKrrYvwbRnXSkRE9ctGPkRTh2ioAPKKLACQNQY5y9RasKhMW/cQJ3ND\nyGMf6rXtF35P2XHy+/TZXpCIaJW4rotm8+nnarZtI8syBMH6X5xBRJfDIKtG7nEA7zjG7n4Lu3st\n+KNkdntdojCBUARUrb6/eiEETFtfmyArcCPEYYJ21671cYUQaHUsVmQRLbHu3k1ACBzeOxlkmU4L\nSRAgjeufFTjpH0DRNFjtrfwGoaDZ2VnOiqzBIZo7XQglP0dZ251p6LZ8ayUiovrJUTALrwBAaeW/\nzmoMcmQYA6oCoam1PearCEMDDA3Zmrcezx4MAbzYVhDInwPRMhlkERGtECklPM+DbT/9XK34NdsL\nEtGrMMiqSZpkCNwIk0GIKzfb0C0NTsdElsraK7J0Q6u1kgjI52StS2vB2XysnfrmYxWcjgV/EtXa\njpKIzq9hmNi++hoO794+cbtu51cLh279H7K4/UPYnafhEADYO9PZU0vUtkFKma91WoUFAIqiotnp\nMsgiIiLIOIX0IyjtZ1rLmRrQUGctB2tZR5gsRTVWQVnAnLA6SSmRPhhC2bEhzJe3dVe6NrIjDzLl\nTE0iolUQhiHSND0RZFmWBSHEbHYWEdHzGGTVpAirvFGC3f0WAGD3Zl6VVXdFVp3zsQqWoyP0orUY\nwjvqe9B0FVZLr/2xW5yTRbT0enu3cPCSiiwAtc/JklLCHRw+bSs4ZXd3EQc+Im95NgnhZIw0CuE8\nE2QBeXvByeBgqUI3IiKqXxHWPFuRJYSA0rZqrchCmCzFfKyCaFuQbri2IY4c+ZBeBOUl1VgFpesA\nmUQ25FX8RESroAirms2nF4grigLLshhkEdErMciqSRFW+aMYvRv5lflX9lsY90N44xBZTRuPoiKr\nbqatQ0og9Otvq1W2Ud9De6fe+VgFh0EW0dLr3dzH8OEDxFE4u81YUJAVjkdIo+hElROAWVi0TJVO\nxRys50M3p7uLJAiWKnQjIqL6Fe3zTlRkARBtE3Ic1nbB3PJVZJmArHdOWJ3SB0NACKivbb3yPkrH\nBgTnZBERrQrXdSGEOBFkAXl7Qc/zeBEjEb0Ug6yauMcBslTC2TahTyuidm+24I9jQALeODzjCOVY\nVEWWaefVS6s+Jyv0Y4RejHav/raCAKA1VFiOjvGQQRbRsurt3YKUGQYf3Z/dpjdtQIjag6zJNKh6\nPhxq7hRB1kGt6znNpH8ICIFmp3vidru7fGslIqL6ZWMfMDQI42R7OaVtAVJCTuoJcmQYv7CGRSoq\n1GqtSquJlBLpw2MoV1oQjVfPJBMNFWLLYpBFRLQiXNeFZVlQlJMfSzebTcRxjHgBs6WJaPkxyKqJ\nexzAHyW4st+e3ba714I3Tma/X7Usk0iidBak1cly8iBr1edkjRc4H6vgbFuYHPm8QoVoSfVu7gPA\niTlZQlFgNO3aZ2S5/QNACNidnRO3a7oOs701C7qWgds/RHOrA1U7eY6yzUCGrgAAIABJREFUd/Jg\na5nWSkRE9ZOj4IVqLCCvyCp+v/I1pBmQZEtVkSWsBqAptc4Jq0vWd4EwgXrt1W0FC0rXgTz2ITlL\nmIho6Xme90I1FoDZzCy2FySil2GQVYMsk/BGASZHIXZvtma365aGpmNAZrKWICsO89CssYCNV8PQ\noKhi5SuyjvseFFWBvfXiJrouTsdCHKZr0aaRaB11XrsOtdHA4XNzsgynVXtFljs4RHO7A0V78ee+\n3e3BHSxPOOT2D15ogQgAakOHubW9VG0QiYioXjLNICcBRMt64feEbQCqqKUiSU73U9CXKMhaxJyw\nmmQPhoCmQLnSOvO+StcBJJAd8cNPIqJlFkUR4jiehVbPKsItz+PMQyJ60bmCLCHELwoh3hFCvC+E\n+Acv+f2/L4T4gRDie0KIfyOE2C9/qavLH4eQEvBHCXb3T74J373ZQjBJagmyoiDfeC2iIksIAdPW\nVz7IGvc9tHcsCKX++ViFFudkEc2l6nOaoqrYeX3vREUWsKAgq3/4QlvBgtPdRTgeIQnraW17mtj3\nEXnuS4MsAHB2emwtSET0nE3ao8lJCMhpG8HnCCEgWtZshlalwvxCMmEuT2tBoJgTFqxVxwaZZkgf\nHUO9ugWhnv2xhbLdBBTB9oJEK2qTzmmbrqi2elmQpWkaDMNgRRYRvdSZ7wiFECqAfwLgbwL4DIC/\nK4T4zHN3+zMAX5BS/gSA/x3APy57oausCKm8cYzeDefE713Zb2E8iOAeV7/xWGRFFpC3F1zl1oJx\nlMAbh2h3F9dWEACaWyaEIjBmkEV0YXWd03b39l9akRW5LmSWXWrtFxX53qnh0Gz21BJUZU2mIdWr\nQje7u4twMkYSrl/bJCKiy9i0PVpRbSRe0loQAJS2CTmuvvV2UZEllqgiC5gGfJnMA781kT0ZA2kG\n5frZbQUBQKgKlE4zb0dIRCtl085pm66otnpZa0EgD7gYZBHRy5ynIuunALwvpfxAShkB+E0Av/Ts\nHaSU35BSFnWffwzgxplHlYuraKmbexxAZhLNlvlCNdTuzRb8UYIslQgqDnkWWZEFAKatI/QiyGw1\nrxQc9/MNdGvBQZaiCNhbJiuyiC6nmnPac3o3b2Ey6COYPL0q2HAcSJkh8utpk1C04nNOCYeApyHS\nIhVrPSt045wsIqKZWs5ny0KOfEBVIJr6S39ftC0gySC9avdTsyBrQfupVxHTSjW5Ru0F04dDwNCg\ndF+8Yv9VlK6TV6YVLSCJaFVs1Dlt07muC8MwoL2k/T2QB1lhGCJJ+LOciE4SZ121JoT4ZQC/KKX8\ne9OvfwXAT0spf+0V9/91AI+klP/tS37vVwH8KgB86mOf/vz/8k//pzmXX4/JZALHcc6+4ytok234\nA+DxgwFu/MzJ7DCNJe78roof+as9JNYxMn2+q+hOW6sSNKGFDqL2E2ABOaISmdD8NqLWIaBkcz+v\ndSnWqfoOlMhC3D5YyPP3rFetZVWeU4BrrUoVa/3Sl770bSnlF0o96IJUdU7b3d39/Je//OXZ7x3f\n+QDvf/X/xBu/9J+gdX0vv783hvbwLpLrH4O0qg/ElaMDqIMniG/9CKCqs9uffY1ot9+BtGykVxe7\nD1Qf34MIfCT7b8xuO/FaThI07ryDtHsV2fbLw65F2vSfEVXhWsu3KusEqlvrupzT6jqfLYvPhm1I\nAD8wRrPbnn2N2JmKHw+38a4+xkCtLsy6EVt4PbHwJ+bgQvuBqv/tCQl8MdjBIy3A3cZ8F8wsw88J\nVQp8PujgsRrgjv7qP8/za3UyDT8WbuHdxhgDbbk6gSzD83oeq7JOgGtdl/MZsHnntJfZpNezruuQ\nUiKOXz73XVEU6LqOMAznrrReled1VdYJcK1V2fS1nvucJqU89T8AvwzgN575+lcA/Por7vufIb8y\nwjjruJ/+xGdl6MdyFXzjG9+49PdmWSa/+X+/JX/rf/yW/O7X7770Pv/8v/mm/MN/9Rfy9l88uvTj\nFE5b6/vffSD/5Ktvz/0YlzU8mMg/+q035eDxWEo53/Nap2Kdf/57P5Tf+/0PFruYqSf3hvKPfutN\nOT7yTty+Ks+plFxrVapYK4A/lWf8TF+V/6o6p73xxhsnnrPR4YH87//jvyX/7Lf/9ew2d9CXf/gb\nvy6fvP/OBf8GLuftf/Pb8lu/+c9euP3Z18ibv/0V+Z3/43+rZT2n+fa//OfyB7/7/5y47fnX8r/7\nF/+rfOf3vlbjqs5v039GVIVrLd+qrFPK6ta6Lue0us5nyyDLMun/zl/I6M2PTtz+7GskS1Lp/7/f\nk9E7DytdS/S9e9L/+g8u/H11/NsL/ug9Gf7JD+c+zjL8nIjv9qX/1e/JdOieer/n15ql09fK9+9X\nuLrLWYbn9TxWZZ1Scq3rcj6TG3ZOe5VNeT3HcSy/+c1vynv37r3yPmEYym9+85vywYMHl36cwqo8\nr6uyTim51qps+lrPe047T2vBjwDsPfP1jeltJwghfgHAfw3gb0spz1VWNB7U015pkUIvRpZm8Ecx\ndvdbL73P7l4LoZfOZmlVJQ4S6AuajwXkM7IAVN5CsQppkmFyHCx8Plah1cnbh7C9INGFVXZOe5az\n04Vh2zi8d3t2mzG9YiWcjC96uEuZDA5fOXOqYHd34Q0HyBbYtiGNI/jHw1e2FSzY3R7cJWiDSES0\nJGo5ny0D6UZAmr1yPhaQz0cSjgk5qnY/JcMEYoH7qdMoLRPZqPq5y3XIHgwhmvqsZeJ5CUVA2bGR\n9Sdn35mIlsnGnNM2XTEfy7Zf3TZW13U0Gg3OySKiF5wnyPoWgE8JIT4mhNAB/B0AX3n2DkKIzwH4\nn5GfTJ6c76ElRv31D7Im03DKG8fo3Xh52d2V/RbcQYTJsNqNRxQmaCywn3vD0KCoAoG7ekHWeOAB\nEmhfoEd7lYxmA5quYjKsdrNOtIYqOqedJIRAb+8WDu7emd2mNnRohoFwUv2HK2kcITgewjlHOAQp\n4R4NKl/Tq7iD/nQt5wndjpCyVzoREVDT+WwZFHOflDNCDdE2kVU8I0pGyxtkibYFxCkQvLxV06qQ\nQYxs4EK9vg0hLt7PXek6kF4E6a/enpNog23MOW3TFeHUaUEWADSbzVnoRURUODPIklImAH4NwO8A\neAvAl6WUbwoh/pEQ4m9P7/bfAXAA/EshxHeFEF95xeGeEpsRZLnTcMqyDeivCJGu7LfgjRMkcYoo\nqO4DukVXZAkhYNr6SgZZxWu1tXOxqwKrIoSA07EwZkUW0YVUdk57id7ePvr37py4QMFwWrVUZD0N\nh84KsvLwaJGVTm7/EADODt128tDNO+rXsSwioqVW5/ls0bKRDwgB4Rin3k9pWUCYQIbVBTkyiCGM\nRmXHn4cyrVjLKq5Kq1r6cAgAUK5vX+r7lV5+8Wja55X8RKtik85pm87zPDQaDTQap59LbduG7/vI\nsqymlRHRKjhXqiGl/CqArz532z985te/cOFHFhLucYAkTqE11LPvv6LcUYDIS7G79/K2ggDQ22vB\nH+UbLvc4gGGVvzmSUi68IgvI2wu6x6tXAT4aeLC3zKV6rbY6FoaPJ2v/b4iobJWc016id/MWwq99\nFeP+Idq9PDAy7BaC8XEZhz9VEQ6dVeVkttpQG43Z/RfB7R9CMwzo9unDQougy+0forV7tY6lEREt\ntbrOZ4smxwGEY0Aop1+DKZ4JctTdavZTiBJgWSuyWvkFd3LkA1fbC17N5aUPhhBbFhT79ODyVYRj\nALqatxe80Sl5dURUlU05p20613XRbDbPrLi1bRtSSvi+f2b1FhFtjvO0FqyERH6F+rpXlEyOfLjD\nGLs3Xx1k6aYG3WxASlnZnKw0ziAzudCKLAAwbR2hF0FmK9S7XQKTgb8087EKTjEna7je/4aIVlXv\n5j4APDcnK6/Iqnp+xaR/AM00oTdPf9MvhIC904M7WFyQNRkcwO7unrmZMVptqLq+0NCNiIjqJaVE\nNvLPbCsIPG09KKtqLxilgMTythbUFAjbWOmKrGwSQI4CqJesxgLy9zZK10HWn6zFvDAionWRZdm5\ng6lmM//8jXOyiOhZCwuyICQggPEatxeMggRJlMIbxdjdf3WQBQC9Gy3EQVZZkBWFecvCRVdkmbYO\nKYHQX53e7SLVkGVy+YKs7WmQdbS6m1WiddbbmwZZz8zJMhwHaRwjjaptser2D+HsnB0OAXnVljs4\nhFxA24YsS+EN+me2QASeCd0W2AaRiIhqFiZAlM6qrU4jGiqE1agsyJFRvp9a1taCQD1zwqqUPsjb\nCqrXtuY6jrLj5G0m3dXrBEJEtK5834eUchZSncY0TaiqyiCLiE5YXJAFwNky13pOVhFKBeMEvRun\nt0y6st+CO4wwqahCLZ7O3lp0RZbl6AAAf4XmZIkkX3NryYKshq7CtPXKXjNENB/TduB0ezi8e3t2\nm+HkFzVUOScry1J4R+cLh4B8jlaWJPBH1bc8fJ4/PILMMjhntEAs2N1duEf9hYRuRERUvyKUOU9F\nFgCItlVZRVYxe2tZK7KA6fMUxLPQbZVIKZE9OIbSdeYOC5VufrV/xjlZRERLowilzlORJYRAs9lk\nkEVEJyw0yGp1mxgf+cjS9fxAqgiydKsB/YxKqCv7LfijJK/iitPS17JMFVkAEExWJ8hS0gYsR194\nCPgyrY6F8ZHPthlES2p3bx+H956tyJoGWW51QZZ/lIdD5w2yihBpEZVOT2d5nXetReg2rHJZRES0\nJOS0uuo8FVkAoLRNSC+CTMrfT2G6n1rWGVnAyTlhq0YOPUg/mqutYEE0dcBs5HOyiIhoKXieB0VR\nYJrnO6c3m014nsfPu4hoZqFBVrvbhMwkJsPVe6N9Hu6xjyhI0Xv99LaCANDba8Ebx9PvK//5mFVk\nLTjIahgaFFUgWJGKLCklRNJYuraCBadjIQ4TRP7qXXVJtAl6N29h8NE9pEn+b7SOiqxi3pV9zion\na7sDoSgLmT016R9CUTVY7fN9aFUEXpyTRUS0GbKRD9HUITT1XPcXxZyscfn7KRkWrQWXN8iazQkb\nr17HhvThMaAIKFfbcx9LCAG16yAbuPwAlIhoSbiui2azea7290BeuZVlGYJgPT8zJqKLW2yQtZOH\nA+vaXnB8FMAbxti9eXaQpZsaGnreQqGKICsKEwhFQNUW+lcOIQRMW1+Z1oLeKISAstRBFgCMh6u3\nWSXaBL29faRJguGjBwCAhmlBqCrCSXVXCE/6B1A0DVb7fPMlFFVFs7OzkHDI7R+gudOFUM53brK2\nOxCqyiCLiGhDyJE/C6fOowhyqpgTJcMYUJVzh2qLIHQtr0RasYosmUmkD4dQrrQhGuU8v0rXBuJ0\nVtVHRESLI6WE67rnaitYKO7L9oJEVFhoqtEwNFiOjtFg/YKsNE4R+TG8UYwr+2cHWQDQve4gibLK\nKrJ0Uzv3lQ9Vshx96VsLhn6Me+8c4K0/vgsJiXb3/CfbOtltA0IRnJNFtKR6N28BAA6mc7KEEDBs\nB0GVFVn9Q9g7vXOHQ0BevTUZHNR61bKUEu7gEM452woCgKLkodtkAW0QiYioXjJOIf0YyjnbCgLI\n2/7paiXhhQyTpa7GKigts7I5YVXJ+hMgSktpK1hQus7TYxMR0UIFQYAsyy4UZFmWBSEEPG/9PjMm\nostZbHkO8vaC4/769Tx1RyEAIBgn6O2dL8i6st+CO4wwHpS/8YjCBI0l2XiZto7Qi4Al+yuXUuLo\n8QRv/8k9fPtr7+He2wdotgwkzWMYzfkGDldFURXYWyaDLKIltfP6HoSioP/cnKyooiBLSpkHWRcI\nh4B89lQSBIi8+q52C8cjpFF07haIBWdnF27/cO3eNxAR0UlFVdVFKrKEEFDaViUVWQiTpZ6PVRBt\nC3ISQq7QHOr0wRDQFCg9p7RjCrMBYRsMsoiIlkARRl0kyFIUBZZlsSKLiGaWIshKkwzeNPhZF0VV\nVcNsoGGcrz3Clf0W/FGCwI2QlbzxiIIE+pJsvExbh5SAyJajLUcUJLj/7gG+8/X38dYf38Vo4OH1\nT3Txl3/hk/jMz+5DNpa7eqzVsTAZ+pAZP9QlWjZao4HOtddxcPdkkBW41QRZwXiENI5g71wsyCrC\nJLfGSqens7wuutYekjBA5PKDKSKidVZUVV2oIguAaJmQ4xAyK3c/lVdkLefFbc8qnq8q5oRVQSYZ\nsscjqNe2INRyP55QujayI6/01wIREV2M67oQQsCyzn9xCpAHX563fsUPRHQ5Cw+yWt31nJM1OfaR\nxBm6185/VVlvrwV/HAMAvHG5wV4cJmiYyxFkNaebK22yg+/9/oe4+9YTHB+6yGoMYqSUGD6Z4J1v\n3cO3f/dd3H3rAEazgTe+8Dq+8DfewP5nr8K09drWMw+nYyFLZemvGSIqR29vH4f3bs++NmwHsech\nS9PSH6uYHXXRKqdmpwsAmNQ4e2rSPwSEmD32eRXBV51rJSKi+mVjHzC0C4dHStsCpISclPveWIbx\nSrQWFBXOCatC9mQEpBmUa+W1FSwoXQdIM0jOEyYiWijXdWFZFpQLtL8HgGaziTiOEcdxRSsjolWy\n8HfiZlOHbmkY9T1c+/jOopdTmvHAh3cc49rHzn+luW5q0Br5X4l7HMDZvtiVCq+SZRJJlEJfkiCr\n1bHw43/tFr77796EEE3cf+8Q9989hKIKtHs2tnfz/6yWUfpMrzhM8OTuEI/vDBG4EbSGitc+voPX\n9juwWkapj1WX4nUyZntBoqXUu7mPd//4DxEHARqmCcPJ282G7gRWe6vUx3L7B4AQsDsXO59qug6z\nvTULwurg9g/Q3OpA1S52brJ38uDLHRyiu/+xKpZGRERLQI6CC1djAc8GOUEeapWxljQDkmw1giyr\nAWhKJXPCqpA+GAJmA8pO+TOJi2Nm/UklxyciovPxPA9bWxff+xatCF3Xha6vxsXmRFSdpXgn3u42\ncXyQl4qWHVwsQpZJBJMI/ijGlZvnm49V6LzmIE0k3GEA7JeznjhMAGBpWgsCQGunidR08eN/7YtI\n4hSjQw/DgwmGT1zcfpy3i2oYGrZ3bWxdyYMt3bxcKw8pJUZ9D49vH6H/cAyZSbR2LOx9+nV0r7eg\nlNzCom6m3YCmq5yTRbSkejdvAQAO79/BtU9++mmQNRlXEGQdorm9A+WC4RCQV3FNDh6Xup7TuP1D\nbF17/cLfpzZ0WFvbtbZBJCKiesk0g5wEUK5crMIYAIStA6oCOfIBdMpZz3Q/tRIzsqqcE1YyGSXI\nDsdQb/Uq+RxA6BpE20Tad6F9qvTDExHROURRhDiOLzQfq9Bs5l28XNdFp1POOZ2IVtdSvBNv7zRx\neH+E0ItXpp3bafxpizd/lKC3d7Eg68p+C4/vDTAalLfxiIJ847UsrQWfpzVU7FxrYefa9MNdL85D\nrQMXR08mOLh/DABotoxZqNXu2lC10wOoOEpxcG+Ix7eP4E8iqJqC1251cHV/e9becB0IIeBsW3lF\n1mpnckRrqbeXX5VwePfFIKtsk8EBtq/vXep7nW4P/Q/fRxIG0Ixqf0ZGvofIcy/cArFgd3cxfvKo\n5FUREdGykJMAkIDSunhFlRAComWWG+SEeUujVZiRBQCibSK7O4DMJISyvBeKpo+OAQmo18tvK1hQ\nug7S233IJIM4Y/9IRETlc10XAC4VZGmaBtM04XnrNY6GiC5nKZKN9jNzstYhyHKP8zYOmqGhYagX\n+t4r+y3cfvMx/HFYWoVaXARZK3AFIQAYzQau7ndwdb8DKSXc4wDHBy6GBy4efXiEhz8cQIi8qiuv\n2HLgbJsQQkBKifHAx+PbRzh8MILMJJyOhU9+7jq619tnhl+rqtWxMHwyAdrLu1El2lTbV16DZhg4\nvHsbQD4jC8hbC5Yp8j3EnjebIXVRRag06R9i+/qNMpf2gqezvC651p0eDj94D3EYoFFx6EZERPXL\npm3xxCUvPlPaJtKPhqXtp4qKLKGvxn5KaVtIMwnphhCt5T1Ppg+GEI5R6RqVroP0w0NkRy7U3Ytd\nZEpERPMrQqiiuuqims3mLAwjos22FO/ErZYBraFi1Pdw5WZ1V2PVZTL0kaUSO1edC39vb68Ff5xA\nyrw9YRlzm6KiteCSVmSdpqg2crYtvP6pHtI0w7jvYXjg4vjAxd23D4C3D6A2FGz1bASTCN44hKop\nuHJzG6/d6sDeWt7NW1mcTv5nFOnq/R0TrTuhKOjduInDe3cAAIqqotFsll6RVYRDzqWrnPJQyR2s\nQJBVrLWG0I2IiOonRz6gKhDNy13kKNoWcHcA6UUQ9vz7qVmQtSL7qWJOmBz5wJIGWdKPII88aG9c\nrXS8gNKxASGQ9ScMsoiIFsB1XRiGAe0S7e+BvJJrMBggSZJLH4OI1sNS/AQQQqDVtTDqr0ep6Ljv\nwxvFuLrfvfD36qYGTcuruNzjoJQga9Uqsk6jqgq2rzjYvpKHhFGY4Hgaah0futB0FZ/4yWvo3dha\n2+qrl3E6+WZVJKvR7oRo0/Ru3sIH3/nW7GvDblUQZOUzo+ydy4VDutVEo9mchUxVcvsHMJzWpaup\nirCOQRYR0XrKRgFE27x0wKHMgpwAKCXIylsLYkUqsoRtAIpANg5wsf4g9UkfDAEAyrVqL2QVmgKx\nbSEb8Gp+IqJFcF33Um0FC0Ull+d5aLfbZS2LiFbQ0nzS3+42EbjRbJ7TqpJSwhuH8Ecxrty83BVf\n21dsZJnEZNqicF5RmEDTVShL3B/9snRDw+6NLXzyc9fx+b/+Kfzkz30cV291NirEAoCGrsG0dSgp\ngyyiZdTb24d3PIR3nH9oYzjlB1mT/iGMVhuacfkP7Jyd3VkgVqXJ4PDS1VgA0LAs6E27lrUSEVG9\npJSQY38WRl2GcAxAANm4pDlZYQIYWqWVQ2USSj4nTJY5J6xk6cNjiO0mlEtW3V2E0nUgj33IOK38\nsYiI6KkkSRCG4VxBVvG9bC9IREvzaX97Zzona7DaVVmBG0NKCX+coLd3uSBr92YLwTgprUItDhLo\na1CNRadrd5sQiY4f/vlDhH686OUQ0TN6e7cAAAfFnCzHQehOIKUs7THc/sGlq7EKdrcHb3iENKnu\nopI0jhAcD2czuS7L7vZqqR4jIqJ6STcEUjlrj3cZQlUgnPKCHBkmKzMfq6C0TWSjoNT3GmXJxgHk\nOIB6vZ6xAmo37+aRDcqdT0pERKebdz4WAOi6jkajwSCLiJYnyLK3LSiqwHjF2wu608HEWkNDw7hc\nI4cr+y34oxjecTkbjyhM0FiRfu50efufuYJM9/HkzhG+8/X38eH3H618hSPRuujd3AcA9Kdzskyn\nBZmmiINyPmBLogjB6BjOHFVOAPJwSUp4R/1S1vUy7iA/dhlr9Y6rDd2IiKh+crqfUtrzzXYS0yCn\nDDJMIFbswkDRsoA4BYLlu8AtfTAEBKC+tlXL44ltC1AFsj4/BCUiqlMRPs1TkQXkQVgRihHR5lqa\nIEtRBFqd1Z+T5Q59SCmxfeXyP6R7ey144wRZJksJIliRtRkahobUmuBzv/BJ7N7YwsMPB/jO19/D\nnTcfI474QS/RItnbHVjtLRzczYMs3c4rdstqL1gET2VUOQGotNKpOPa81WNOt1d56EZERPXLRj4g\nRN4ecA5KywLC5Ol8qznIMIYwVquFd9GasawwryxSSqQPhlB6rdrCQaEoUDo2sj4rsoiI6uR5HhqN\nBhqN+c6htm3D931kWVbSyohoFS1NkAUArW4T7nGAZIV7V48OfQTjBLuXnI8FALqpQdPyai53zjlZ\nUkpWZG0Ys6njk5+7js/9/Cewc62Fj97v4ztfex93336y0v+2qH5ZJnH4YLToZayN3t4+Du/dBpBX\nZAHlBVnFrKh55k4BgNlqQ23olQZZk/4BNMOEbjtzHacI7dhekIhovchRANEyIJT5tqpFRde8QY6U\nEojyGVmrRLSKP/9yzcmSRx4QxFCv1VONVVC6DuQkhFzCCjUionXlui6azebcMyZt24aUklVZRBtu\nqYKsdjfvmToeLNeb7YtwRwG8UYIrcwRZQP5cSCnnDrLSOIPMJHQGWRvHcgy88fkb+MkvfRxbuzbu\nv3OI73ztPdx/9xBpwqtY6NUiP8bdt5/g27/7Ht791v1FL2dt9G7uo3/vLmSWwXDyECeclHNl8KR/\niIZpQW/O17JBCDGdPXVQyrpexu0fwu725t7MGE4Lqq5XulYiIqqXlBLZyJ9VE82jmLE195ysKAUk\nVq+1oKZA2EZpc8LKkj4YAqqAcrVd6+MqszlZbC9IRFSHLMvg+/7cbQWBp60JGWQRbbalCrJanSaE\nwMq2F4yCBFmaIRjH6O3NF2Tt3mwh9FKMDud7LqIwbynXWLGNF5XHbpv4kZ/aw0/83MfQ2mni7ltP\n8J2vv4cHP+wjSxloUU5KieMDF+986x7+9Gvv4f47h7C3TPzIT+8temlro7d3C3EY4PjgCVTdgNpo\nlFqRZe/MHw4BeVWXe9SHrKBtQ5al8I76cOZsgQhMQ7edHiasyCIiWh9BAsQpxJzzsQBANFQIqzF/\nRda0RfeqtRYEyp0TVgaZZUgfHUO50obQLjdP+rJE2wQ0he0FiYhq4vv56JUygizDMKCq6mzmFhFt\npqVKN1RNgb1lYjxYzSCrqJ5SGxoaxnxvzK/st/DR+weYDOe7gi6eztjijCxyti386M/cxHjg4e5b\nB7j9F4/x4P0+brzRw5X9DhRl/g/AafUkcYqDe8d49OEA/iSC1lBx/RNdvHarA9PWF728tdLb2wcA\nHN69je2rr8GwWwjd+YOsLE3hHQ1w/bM/OfexAMDp7uJhksAfDdHc3inlmAV/eASZZXO3QCzY3V08\nfvtNyCybuwXVOsvSFP07H+DxOz+AOhojS1Moar0fIBIRnUc2zvc+ZVRkAXlV1rwVSUUrulWryALy\n5zF7eAwZJRD64tefHUyAOIV6fbv2xxZCQOk6DLKIiGpShE7NZnP/6TZuAAAgAElEQVTuYwkh0Gw2\nGWQRbbjFv5t9TrvbxMMPj5ClGRR1tT6Uco/zTVK7N/8P6d5eC/4oQZpkSOIUWuNyHzjNKrLYWpCm\nWjtNfPav7OP4wMXdt5/gg+89wkfv97H36V3s3tiCqCjQSpMM/iSEP4ngj0MoQROHHx3DcgyYjg51\nxf69rzr3OMCj20c4uDdElko4HQuf/Nx1dF9v8++iIr29mwDyIOuTX/wZGE6rlIqsp+HQ/FVOAGDv\n5CGT2z8sPcgq5lmVFWQ53R4epgn84yGanXLXug6C0TEevfMDPHn3LcSBD71pQ/FcvPON38Wnf/4/\nhKIwzCKi5VKETsV8p3kpbQvJ4xFkkl6+AmhakbVqM7KAp+0Vs1EAtTffbMoypA+HQEOF0puve8ll\nKV0byeMRMi+C0uQFW0REVXJdF4qiwDTLOafbto0nT55ASllKJxIiWj1L92683bXx4IcDTIbBbGbW\nqjg+8BB6CXb3OnMfSze1WZDnHgfY6l2uFDcqKrIYZNFztnZt/FjvFoZPXNx96wne/7MHuP/uIfZ+\nZBe919uXfmMQhwn8SQhvnAdW/iSEP44Q+icHK6uw8e6ffjT72mg2YDk6LMeA1TLyX7cMNHSVb1JK\nkqUZ+g/HePThAOOBD0UR6N3Ywmsf68DZLufKZ3o13Wpi68pVHN67AwAwHAfjg8dzH3cynRFVVjhk\ndToQigK3f4jdT7xRyjELk/4BFE2D1S7nSuwivHMHhwyyprIsxdHd23j09psYfnQPEAI7e7fw2o9+\nFtvX9/AHX/lXGNz5AO/+3tfx6X//r7OSjYiWSjYKIJp6aW3nihaFchRA7FxuPyWDorXg6u2nlNmf\n3wcWHGTJJEX2eAT1RqeyC+fOMpuT1Z9AafJ9AxFRlTzPg23bpX2e02w2kWUZgiCAZfHzC6JNtHTv\nxlvd/IfRqO+tXJA1GQbwRwmufLGcK8xaO/mff54gKw4TKIqAqvGDKnqREAKdqw62r9gYPBrj3lsH\neO/bH+GjaaC1c6310jcdUkqEfpwHVeMI3iSchlYRkiid3U9RBSzHQKtr4YqzDatloOnoMG0dv//7\nv48vfv5nZt9X/H/UP0KWytkxtIZyMtxyDFgtHWZTX9gmeNUEXoTHt4/w+M4QSZTCtHXc+rGruLK3\nDU1nRUadejdvPRNktZCEAdI4htq4/NwNt384DYe2SlmjoqhodrqzgKxMbv8QdqdbWnhibW9DqCom\n/YPSQ7dVE4xHePzuW3j87g8Qex5028He576Iq5/+DAz76YeX2XYXH//4x3DnW9/Ee4qCT/17/wHD\nLCJaGnLkQ2yVtwdUZhVJPpTLBllRDKhK7TOdyiB0DTAbyOZsr1iG7PEIyORC2goWhG0Ahpa3F9xj\nkEVEVBUpJVzXxe5uOV1DAMxmbbmuyyCLaEMtXZDV0DVYLQOj/mrNyUrjFGmSwh/F6O2VE2Tt7rVw\n3D/G8YGL65/oXuoYcZCgYWqsaKFTCSHQvdbGzmst9D8a4e7bB3jnW/dhb5m48UYPUmJaWTUNnSbh\nybBJV9FsGehea00DpzxsMqzGq197ArDbJuznhnlLKRH5yezxvOnjHT2e4Mnd5Jk1A6atnwi4mm0D\n9pbJ1zvy53F44OLRhwMcPcpnAey81sJrH+tga7e8q6LoYnp7+/jgO99CEscwnPxcEbrjuVr4uf0D\n2Du9UsMIu9vD4M6HpbZtkFKWXuWVh247s5aFm0ZmGY7u38Gjt97E0f08IO3c2Mdrf+Wz6NzYf+Vr\n4sZP/GXINMPd7/wJhKrik3/1S/yZQEQLJ+MU0o+h7pXTgghA3g5QVyFHweXXFSYrWY1VUNrmXH/+\nsqQPhhBWA2J7cRerzuZkHU7YmoqIqEJBECDLsln4VAbLsiCEgOet1ufFRFSepXxH3u42cXj/eKXe\nXLqjEACgaioaRjlX613Zb+Hhh4cYH13+CrooSNBY4Y0X1UuIvNVc93obB/ePce+dPNAqFO3/2r0O\nms9USZX5GhNCwGg2YDQb2L5ysgVKEqfPVG/l1WD+OMTRozHkNFdrGBp2XnPQea2F7V175WbtzS0T\n+Oj9Ph7fHiBwYzQMFTfe6OHqrQ4M6/JVP1SO3t4+ZJZh8NE9mEWQNbl8kCWlhDs4xO4nP13mMuF0\nd/Hk3bcQuZNZ4DavcDxCGkeltUAsODu76N/54Uq9Z5hX6E7w+J0f4PH076hhNXHjL30BV9/4UZit\n9rmOsfe5LyDLUtz/7p9CURR8/Gd/bmOePyJaTkXVUDHXqQxCCChtC9n48vspGSYrOR+rINoWsidj\nyDSDWND7YhkmyPoTqB/bXfi5RtmxkT0YQk7C0maxERHRSUXYVGaQpSgKLMuC67qlHZOIVstSviNv\n7zTx+PYRvFEIe2s13lxOhvnmqGgHWIbeXgv+OEESpcjS7FIfyEdhAsvhIFu6GKEIXLm5jd6NLYwO\nXWi6CssxFt6iUmuoaHUstDonP+DIMonQjTAZ+hg8muDg/giP7wyhqALbVxzsvNbC/8/emwdJkt33\nfZ+XWffddfV999yzMzs7e1+YBQgSBEERlACJYlAOhuygHTIVDoVky7IukxYpikHTlC2ZNnWEJUsW\nBQJYnLtcglgMsAvsAjOzOztnz/Q53dNnHV1d95GZz39UV8/MztVHXT2Tn4iKyurOyvxVVla+fO/7\nvr9fR6fnkRV1K2Wd9XiOteUM1kyYG5dX8IVcDByMEuzxoZgpGNuG8MAQAIn5G4yceBqAUja74+0V\nM2n0SmWzVlS9qIlNuWS8bkJWdsM1VW8hyx0Ks3L9Sl1Ft3ZEGgaphXmWxy+TnJ8FKQn09jPy/Mt0\nDAyhKNufRDPw1LNIXWfh4ocIRWX4+ZdbPsBoYmLy+FJzDSm++vb/hM+JMRNHGsbO3MslbU8LHorP\ngQ7ITLFlbih9OQWSlqYVrKGGPWhs1Mnaw9+riYmJSTuTy+UQQtQ9BaDb7WZtbe2xmsRoYmJyi7Yc\n1a3Vxkon8ntGyFqP5amUdEJ99alRAmBzWFBEtbOVT5fwdGy/AagUtT1Xa8ykfVAUcZcrqh1RFFF1\nh3ntRPoDGLrBeiJPcinD2nKG5FIGqF5bOrq8BLu8e1rgNXSDTLJAKpYlFcuRS1UHflSLgmEr8NRL\nR+9K2WjSHnR096KoFmLzNzj40idACErZzI63l9uoY+WptzgUrKazzSbiBAeG67LNXCIGQuDu2Fmq\n3PtRE/GyifqJbu1EOZ+r1r66doVSNoPV4aT3iRN0Hji867poQggGn3kBwzBYuvwRQlUYeuZFs1No\nYmLSEox0AewWhL2+DnLF50CXsurA2YHbS5YqKOH2vx++H8J7W52wVglZiymE19EWwpFw2hAuW7VO\n1lB9759MTExMTKrU6lgpda7F63a7icViVCoVbLa9O6ZjYmKyM9pSyLK7rNicVtKJPN0je6MIayZZ\noJDW2P/U1lL6bJWaeJVbL25byDJ0A62iY3O05ddsYtIwFFWhI+qhI+pBHusilyqSXM6QXM5w4/IK\nNy6v4PTaCXZV3VqeDmdbD9xKKcmnS6zHcqRiWdKJfLVGmQBvh5P+AxH8ETeeDic/+MH3TRGrjVEt\nFoK9fcTnZhGKgt3t2aWQFQchdlVj616oVhsOf2BTKKsHuWQcV6ADxVLfNskdrH72XCJGaLA+ols7\nsL68yNLlCxu1ygz83b0MPvMCocERFLU+KYyhKmYNP/cS0tBZvHgeRVEZfPr5um3fxMTEZKvIdAGl\njmkFa9wh5Gxz+1I3QDP2dI0s4bSCdXd1wnaDkSshUwUsB7pasv97oYTc6EvrSEMizMwFJiYmJnVF\nSkk+nycQqL8L1+WqTsjI5XKmkGVi8hjStnfkvpCL9VhuT9hFDUOiVTQKmQrh/vrOBg/1esiuZ0jF\ncnQOdWzrvZWyDoBtD3e8TEx2ixACT4cTT4eTgUNRirly1aW1nGFhMsHCROKOulr+iBu1DepqlQqV\nDeEqx3osS6VU/T07PTaiAwECEQ++sAuLtX4D2ibNIdw/yMK1KwDYPV5KuZ2nFswlYrgCwbqLQwCe\nYJhMbKVu28sl4vh7+uq2vRqq1YbTH6iKeo8I2XiMS99+HYvdTveRY3QdPILT37h0TEIIRl54Fakb\n3PzoHIqq0n/imYbtz8TExOTjSN1A5koonfWdFAgg3DZQlR0JObKkVRf2cH9KCIHidWzWIGs2+mIK\nALW7fplLdosS8qDPryHThZalWzQxMTF5VKlUKlQqlU3RqZ7cLmR1dGxvjNTExGTv07Z35L6Qi/jN\ndYq5StunACtkSgAoqorVXt9B5c4hH6vvrpFO5Lf93nKx2vGymo4sE5NNHG4b3aMhukdDaGWdtZUs\nyeUM8YXW1tXSNYP1eG5TvKpdVyw2lUDEjT/iIRB1Y3fWN92OSfMJDwwx/sPvU8rnsLs9pFeWdryt\nbCJOoLe/jtHdwh2KEJ+ZpFIqYrXvzuVXLuQp53N1r49Vwx2KkNnFcWw3lq5eRLFYeOqLv7LrY79V\nhBCMvnwKKQ3mPvgJQlHpO/5UU/ZtYmJiIrNFkDTGkSUEYqdCTqlS3Uad0x02G+FzYswlmu5AkoZE\nn0+iRLwIZ/v06ZVgNVWkkci2LN2iiYmJyaNKLpcDqmkA643FYsHhcJDPb3+M1MTEZO/TtgqHL3ir\nTla7C1nZVLVT5AnUv+MV7vdSSFeoBLVtu9MqG0KW6cgyMbk3FptKpN9PpN//wLpaat7L9IUlFFVB\nUQWqqmwu3/m32utby7W/f/y3Kw1JNlXYcFzlyCTzSFmt9+ULuYgO+AlEPLh89rZ3pZpsj3D/IADx\nuRtVR9b0xI4K0JfzOSqFPJ6NGlH1piY65RJxArt0UtXcUu5go4SsMPHpCSrFIlbH3k6tqZVKxKcm\niIztb5qIVUMIwdjLr2HoOjfOvodQFXqPPtnUGExMTB5PjA23lGhQDSXF50BfSG27P1VzZO3l1IKw\n8fkNicyVGnaM74WxkoaShjrQXuUChN1SFTcTORhtdTQmJiYmjxY1kakRjqzadmtimYmJyeNF296R\nO702LDaVTDJP52Dj0unUg9RqDl0zCPXWPxWGzWFBiOrgZiFbxuW1b/m95ZLpyDIx2Sp31dVar9bV\nWlvOomg24jfTGIZRrU21A4QiUJQNccsiqJR0dM0AwO130DMawh914wu6UNogtaFJ44gMDAEQn5+l\ns38QpKScz2H3bC81bS65IQ41zOVUTyGrWmvL06BYa2JeLrn7WFvN6sQ4hq7RdfBoS/YvFIX9n/gp\npGEw++Mfoigq3YefaEksJiYmjw8yXQCLgnA1ZgKj8DlhLonMlxHurfenHhUhS2w43WS6AE0UsvT5\nBDitKJH6pt+vB0rQjT6fROoGwrz3NjExMakbuVwOu92OpQHp76Hq9Eomk2ia1rB9mOxdpJSUSiVy\nuRyKouyJkkUmW2dLv3ghxGeAfw6owL+WUv7Ox/7/KvAHwDHgl6SUX95tYEIIfEHXjlLqNZt0Ik8h\nozH2ZGPyfnv81c5Gbr24LSGr5shqVmo0E5NHBSEEnoATT8DJwMEop0+f5qVTp4Bqo2joclPUMjQD\nw5DourG5bOgGulZbZ2O9jWd941m1KPjDLvxht/kbbTKtaNNuxxuOYHO6iM/fYOBQVawo5bLbF7Ia\n7HKyOV3YXO5NEWo35BJx7B4vlgY5jGrHIJeI7WkhS0rJ8vglvJFOPOHGOO22glAU9r/2aa59V2f6\nvR8gFIWug0daFo+Jicm9aXV7Vk+MdAHhdTZsoEHZFHKKsC0hq5paENvevlcTbjsoAiNdRO1tzj6N\nbBEjkcOyv7MtB5CUkAf9RgIjlUcNeVodjonJY8+j1KY97uRyuYakFaxRc3rl83l8vvobCkz2DlJK\nKpUK2WyWXC63+axpGxnKbDYuXrxIb28vwWCwLe9HTLbHQ+/IhRAq8C+BTwM3gTNCiG9IKa/cttoc\n8KvA36lncN6Qi+RyhnJRw9amriIpJZWSRiFdIdzfmBvgYI+HXDZLajVHpG/rYlm5pGGxqShNzINu\nYvKoI4RAtQhUzJmbe5FWtmm3xUC4f3AjtWC13ShlM9DZva3tZBMx7F4fFvvWB+S2izsU3hTMdkM2\nGcfdoBSIAFanc0N0232srWR9aYHCeop9r/5Uq0NBUVQOfPIzjP/5G0z98DSKqhLdd7DVYZmYmGzQ\nDu1ZvZBSIjNF1L7GpZ8THjsIMDIF1O5tTD4saWC37PmBD6FU64TJndQJ2yH6XBKEaOj3uhuUYHWQ\n1UhkTSHLxKTFPEpt2uOOpmmUSiWi0WjD9lETyXK5nClkPWbcLlrVhKtKpbL5f5fLRUdHBx6PB7fb\nzYcffohhGExMTOB0Ount7SUUCu35+7rHma2oQ88Ck1LKaQAhxB8DvwBsNihSytmN/xn1DM4XulUn\nK9yAtH31oJir/mAURcVqUxuyj84hP1feS5GOby8HbKWomfWxTExMTO6kZW3a7YT7B7n+/rvYXLcJ\nWdskl4g3LFVfDXcowtrNOXRNQ91h2ga9Uqa4niI6ur/O0d2JOxQhWwf3WCtZvnoJi91BeLg9CnYo\nqsrBT/0sV77zbSbeeRuhKEQa/D2amJhsmbZoz+qBzJVAl5uuqUYgVAXh2b6QI0saYo+7sWooPif6\n0vbrhO0EqRnoC2soXb62TcsorCrC76zWyTIxMWk1j0yb9rjT6PpYUHXZWK1Ws07WI46maXe4rLLZ\nLOVyefP/TqcTv9+/KVq53W6Uj9Ud13Wd48ePk0gkWFhYYHJykvn5eXp7ewmHw3etb9L+CCkfXO9F\nCPEF4DNSyv9q4/VfA56TUv76Pdb9f4Bv3c/iK4T4NeDXACKRyMkvfelLD45OgjUdwbAV0J3Zh3+a\nBpHNZvF47j1LS5RtWAsBbs7EiT7ZmPZUr0hy17x09DjQO+LwgH7H7bFash0gJJo71ZC4dsuDjms7\nsVfiBDPWRvG4x/raa6+dk1I+XdeNtoiWtmm3sXrxA+bffZsn/tp/jSu2gOHxYUR6tv5BDB3rzDh6\nMIrRsT2n03bOEZFNY1mZR+sdQTp2NsAoCnksizNoXQNI99bTJ273XFaSqyhrMbThQ9DkG9K6/O60\nCpYb1zECIYxQV30Cuwc7itUwUJduIIp59M4+pKcxqZQ/zuN+7W0EeyVOaFysj0qb1i7tWT0IaTb2\nVbxcsKfIK/qW37fdc2S07Mav2/jAubbl9xwt+qkIg2v27U84uZ12+O1FNTsjFQ8f2NcoK/fvt9Yj\n1ohmZ7Ti4ZJtnayq7WpbD2K3sfZXnPRoTs44khgNnpzdDufAVtgrcYIZ66PSnsGj1abtlEflfFZV\nFavVSrFYbGgMVqsVIcQdwsa92CvHda/ECY2LVQiBoigoirK5XMMwjGqZD8PYXN5JrIqiYLFYNmtn\naZqGrm/93rORPO7nwFbbtKZOj5JS/hHwRwAHDhyQpzZqzjyIyz+8gVZxcvxU69rn06dPc79YJz5Y\nZPXGGgeODXH81EDDYvjmtXOoqsKzz7+E3Wm973q3x3r2zybwh1zsO/lkw+LaDQ86ru3EXokTzFgb\nhRmryb3YSZtWYz4aYv7dt9nf10NKK2Bzuji8jfenlxe5ODPO0ZPPEBwY2lbc2zlHiul1zv3Jf+DA\n0MCOayQtXbnA9OIMz596Dbt76zc72z2XE7PTjH/3TU4+cQRvpHMHke6cevzu5j74CfM34JlP/yxO\nX+OEop3GqlfKXH7rW2RXFznwxBOEBkfqH9zH2EvXs70S616JE/ZWrHud3bRn9aAyvoQ+m+CZUy8j\ntpESfbvniDYbR7u6xCdeeAlhv3d/Sk+XUFxWhKU6eFJ8+ypq2Ev3sZNb3k89Ym0Exlqe8vtTPHfk\nOGrn/duZ3cYqpaT8w0lwwMmXjjbU/bXbWPV4lsqZGV468hRqtLEZYNrhHNgKeyVOMGM1uTetbtN2\nyl46Rx4U6+TkJOvr6zz//PMNjWFubo6lpSVeffXVB7pq2v24SilZW1vjypUr9PT0IITYfNQEne08\nPv4el8tVd9dRPY+plJLV1VVu3LiBYVQn2dhstjtcVh6PB8sOs8PcK1YpJevr6ywsLJDJZHC5XHR3\nd9PZ2YmqNibT2lZo93P1dloZ61bOhAWg/7bXfRt/awq+kIv5azG0io7F2roT6n6sx3IUsxojxxo7\nO9nlcwCQWy8+UMiqUavdZW3T2mImJiYmLaKlbVqNcP8gALH5G3g8Horr69t6f3ajFpS7wakF7V4f\nqs1Gbhcp+7KJOBaHA5urcQV/4daxyCViTReydoth6Kxcu0JH30BDRazdoFptHP7pz3H5T7/Btbff\n4tBPfZaOjfN4t0gpKeeyZBNxcsk4+WScXDKBqhmkFm/i7+4185ibmNxNW7Rn9UCmiwivfVsi1k5Q\nvNX+lJEuokbu7k9V4gVW/rdzKA4V15NRXE93QlmDR6Q/JXy3ff4HCFm7RaYKyEwRy5Getr92Kx0u\nUARGItdwIcvExOSBPDJt2uNOPp9vaFrBGm63Gykl+Xx+z7hYbqdUKhGLxVhdXaVcLqOqKmtra5tu\no9pjtzgcDkZHR/F6t54ZpVlomsb09DTJZBK/309XVxdutxubzdbQ/QohCAQCBAIB0uk0CwsLzM3N\nsbCwQHd3N11dXTsWzkwaz1a+mTPAPiHEMNWG5JeAX25oVLfhDVVTGWWSeTo62++HVy5WKGQ0wv2N\nvXAGuz3kc1lSK1mCXQ8/DnrFQBoS2yPS8TIxMTGpEy1t02o4vT7cHUHic7OETj5DavHmtmpW5BIx\nrA5nw8UhIQTuYHhTONsJuUQcTzDS8MEsu8eLarPvKtZWkbwxSzmfY/SlU60O5YFYbDaO/MzPc+nN\nr3P1u29y+NM/R6C3/+FvvA1D18mnkuSTiVvCVSKOVi5truPw+XEFghRuznH5za/jDoboPnKcyMg+\nFLNTYWJSoy3as90ipcRIF1A7Gy8iiI0aXDJdgMjd/anM23MIRWAf9pN9f4ncT5YIveinvJhHHdBQ\n9ni/SqgKwm3fdp2w7aLNJ0BVUHsCDd1PPRCqghJwYSRaV8bAxMQEeETatMcdwzAoFAoEAo2//rvd\n1X7wXhKypJSkUilWV1dZW6umOfb7/QwNDXHhwgVeeOGFe77nYY+Pi1+1h6ZpzM3NcfnyZXp7e+nt\n7W2bmlCZTIbJyUnK5TIDAwN0d3e3ZPKLz+fD5/ORzWZZWFjg5s2bLC0t0dnZSXd3N1brw40kJs3l\noXfjUkpNCPHrwFuACvxbKeVlIcRvAmellN8QQjwDvA50AD8vhPgNKeXOchB9DG+HCyEgnWg/Iatc\nrOX7FlhtjXWLdQ75Gf/JOqnV/JbWr8VmbdPiuiYmJiatoNVt2u2E+weJz93g2KufxKhU0MslLHbH\nlt6bS8Zxh8JNudlzhyKsjF9GGgZimze+hqGTX0vQc+R4g6K7hRACdyi8K/dYq1i+ehG7x0tHX+NS\nFNcLi93Okc/8BS69+TWufucNDv/M5/B3995z3UqpSG7TZZUgl4iRT60hN9JGKKoFVzBEaHgUdyiC\nOxjGHQyiWquz8E6//TaHertYvPwRk++8zY0z79F16ChdB480XMQ1MWl32qk92xVFDSr6psjUSIRV\nRThtGOm763ZU4gXyH67iebmXwM+NoOcq5M8uQj5N7uwqa3++hOuJMK6nO7EP+xvuHmsUwufAWNta\nf3InyLKGsbSO2teBsLRfNpV7oYQ8aBMryLKGsJl9ZxOTVvDItGmPOYVCASnlpsjUSOx2O6qqksvl\nGr6v3VIul4nFYqysrFAul7FarfT09BCNRnE4Htz/r6UI3CmBQIDZ2VkWFhZIpVKMjY3hdDb+nut+\nSClZWlpifn4em83G4cOH28It5vF4OHDgALlcjoWFBRYXF1leXiYajdLT09Nwl5jJ1tnSnZqU8g3g\njY/97R/dtnyGqvW37qgWBbffQTrRuBvunZJNVWezuX1bG3jcDeF+D4XvVnB4HlzIsEalVBWyTEeW\niYmJyZ20sk27nfDAEOff+ha2jRv9Uja7JSHL0HXya0l6jjan/qEnFGZJ1yikU7gCwW29t7BWFS0a\nnQKxhicYZnn80o5Et1aRT62xvrTA4NPP75mYrQ4HRz/zC1x843Wu/Nm3OPIzP4/V5SafjN/hsirl\nbs1wt7pcuINhevoGcYfCuINhnD7/gz+zotB54DDR/YdYX7rJ4qULzH94hpsfnSMyup/uw8fwhCNN\n+MQmJu1Ju7Rnu8HYcAcpTehPQVXIuZcjKfP2HMKi4H21erhUtxXX4SCVs2n8Pz9K/kqK/PkY+Q9X\nUYMO3Cc7cT3dicVvb0rc9ULxOTGW1hsm2ug318CQqAOhum+7USghN0xQTS/Y3Z7pfU1MHgcehTbt\ncacmKjUjtWCt/lO7Clm1Okw195WUEp/Px+DgIB0dHU1zRlksFsbGxujo6GBmZoYLFy4wODhIZ2dn\n0x1Q5XKZqakp1tfXCQaDjIyMtF0KP7fbzf79+ykUCiwsLLC8vMzKygqRSISenp6HCo8mjae9zpj7\n4Au5WJpZw9ANFLV9BnlSK9UBmmBP422sNocFaQhAopV1LA9xgJmOLBMTE5P2Jtw/iF6pUC5WZ4YX\ns5ktCT75VLKp4tCt2lPxbQtZ2Q13lDvUHLHBHYpg6DqF9RSuju3F2iqWxy8hFIXo/kOtDmVbWJ1O\njv7sL3Dxja9x8duv3/qHEDj9Abxd3XQFq4KVOxTG5tx5h1YIQaCnn0BPP4X1FEtXLrBy/SqrE+P4\nunroOXKc4MDQnhECTUxMblETlYS3OQMDis+JtpJGVnTERv3l291Yqve2GbcbEwOtfT46DkTw/9wI\nhcsJ8meWSX/nBuk/v4F9XwfuZzpxHgohLO1/Dao534x0ETVc3z6slBJ9LonocG/WI9sLCL8LVAUj\nkTWFLBMTE5NdkMvlUFW1aYP9breb1dXVbaXobzSVSmXTfUVA0XkAACAASURBVFUqlbBYLHR1dRGN\nRlvqhAqFQni9Xqanp5mdnWVtbY3R0dGmOY1SqRRTU1Nomsbw8DDRaLRtvrN74XQ6GRsbo6+vj8XF\nxc16ZuFwmN7e3pZ+l487e0Ll8IXcLE4lyaYK+ELtk0omtZqnlNcYPtqcG16XtzrjL7dexB958HEo\nm44sExMTk7YmMjAEQCZZrelUzmW29L7cRg0od7A5QpYz0IFQVbKJGJHR/dt6by4ZR7FYcPqa007W\nRLdsIrYnhCy9UmF1YpzQ0OiuhJ5WYXO5Ofqzn2fl2mVsbg/uYBhXRxC1gTPrnP4AIy+8ysBTz7Fy\n/QpLVy4y/t03sXt99Bw+RnT/ISxm6gcTkz2DkSki3LampaETG84vmSkigtX+1MfdWDXkRn9KbEwM\nVGwq7hNR3CeiaIkCuXMr5M+tkPyP4yguC64TUdzPdGHtap/+6sepOd9kugB1FrKMeBZZKGM90FnX\n7TYaoQiUoNusk2ViYmKyS/L5PC6Xq2kChcvlwjAMisViy9PlpdNpVldXSSaTSCnxer309/cTDAbb\npi6VzWbjwIEDrK6ucuPGDT766COGh4cJhxs3rmAYBjdv3mRxcRGn08mhQ4ea4tirFw6Hg5GRkU1B\na3V1lXg8jsPh2Kyv5fP5zNSDTWRPqBzeUPWClE7k20rIKubLFNIa4f7mFBYMdnnI53OsrWQfKmRV\nShqKIlD3wMxAExMTk8eRYF8/QigkFhdQVJVidqtCVqwqDvmbU0RdUVRcHcFNAW075BJx3MFw05wy\nzkAAoarVWMcONGWfuyE2PYFeLtN96GirQ9kxdrebgaeebfp+LXY7vU+coOfIcRI3Zli6/BEzP36X\nuQ9+THT/IboPH2uogGroOqVchmI6TTmXhXLpoe+RUlIpFigV8pTzBUr5HOVCnlI+v/F852u7y0Xf\noSfoO3QUxx4pYm1isl1kuoAING9AQ9l0JBVQgm4qsfy93ViALFdAVe4psllCTvw/PYTvpwYpTabI\nnVkm+/4S2R8uYu3z4H66C9fxCIqzvbrbwmYBh3UzpWM90ecSYLOgdPrqvu1Go4Q8aLEMslBGOOsz\nGCUNAyOZx1hNY6QLRDR7W7kGTExMTOqJlJJcLkc0Gm3aPmu1uHK5XEuErEqlQjweZ2VlhWKxiKqq\ndHZ2Eo1G21asEULQ2dmJz+djamqKyclJ1tbWGB4ernuav2KxyOTkJNlslmg0yuDgIKq6N+pnfhyb\nzcbQ0BC9vb3EYjHS6TSJRILV1VWg6uC6XdiyWq0tjvjRpb3urO+D1WbB6bW3VZ0sraIDEikF1oek\n+asX0SE/1z9Is7aSY+ghY17loobVYTFvlE1MTEzaFKvNTqCrm8T8HL2Dg5SyW5sJvCkONfH67glG\nSNyY2tYAjJSSXCJOZGx7Lq7doCgq7o4QuY2Uhu2MlJLlqxdxdYTwdna3Opw9i1AUwsOjhIdHycRW\nWbr8EctXLrF0+QLBgWF6jh7H19Wzo9+LVipSzKQppterz7ctl3JZkHJzXSvw7r+doqwb5PN5yvkc\npUJh4zlPOZ+nXCggpfHQ/dqcTmxOF4VMmnPf/joIQXRwhP4jT9B/pCps2V2Nm9glpUQvl6iUSmil\nElqpePdz+dbrSqmIEAqqzYbFakW12VGt1o3XNlSbDdVqw2K7tXz7a0U171cfV2RFRxYqqP1NHHyy\nW8BmQaaraX0zb8/f040FVUeWeEiadqEIHPs7cOzvQM9VyJ9fJX9mhdTXJkl9axrX0RCuZ7pAPnAz\nTUXxOTY/f72QhTLGagZ1NLIn07wqG5NljUQOtW/nQpYsaxixDHosgxHLgGaAIhAOK6MVD+X3p7Ee\n6dkUVNsNI5Wnp+LAyJVQ3Hur/puJiUlrKRaLGIbRVAHH6XQihCCXyzXUVXQ7UkoymQyrq6skEgmk\nlHg8HkZHRwmFQm3jvnoYTqeTI0eOsLCwwM2bN8lkMoyOjuL312ciYCKRYHp6GoB9+/YRCu2d2pkP\nwmq10tPTQ09PD1JKstks6XSadDq9mVISqm7B24WtZtYCMwyDcrlMqVTCMAw8Hs8jJaztCSELqnWy\n4jfX22YWU269evPv8jTvBi/c7+Gj0xVsjofP+q0UNWxmfSwTExOTtibcP0h8fpaRw0cobcGRJaUk\nl4wTGTvYhOhu4Q6FWbl+hXIui93j3dJ7ipk0eqW8oxSI0x+e4dL/968Z6wzTt023kjsUJjGzPdGt\nFWRjK+QScUZe/ERbx7mX8EaieE99msFnXmR5/BLL45dIvjGDOxii+8hxIiP7UG7rREjDoJTL3i1W\nZdYppdNoH3NZWR1OHF4fnnAUYXewMjPFwvWrlIslOiJRon19ON0erC4neamjKgounw+7y43N6cLu\ncm08u7E5nXf+3VX9u9XhQFGqE6S0cpnlyevMXb7A/JULnH/rW5z79tcQQiE6PEL/kWP0H36C3oNH\nsG9h0KCYSSMyKRYvfUTlPqJU7flBKBYLFrsDq92Oxe7AFejYEL/KVIpFCpk0ermEXq5g6NrDvzgh\nbglet4tfqTTJ+VkCPf0oe3T2psmDqbmCaun+moEQAsXnwEgXqm6s86t4XrnbjQUbqQW30Z9S3Va8\nL/XiebGHykKW3NmVqrB1PkZPUEF+QiKU1l/vhc+JsZpBakbd6npp80kALP3tn9b3XgivA6wqeiKL\n2texrfcauRLGahp9NYNcy1VFS5sFtcuPEvWhhDygCq58931GcyrlH02iDoawjHVu1mlrNUauhHZ9\nBWN5nQHclH9wHSXqRR0KowTd5n2KiYnJQ8nlcsAtl1QzUBQFp9NJPt8c04OUksnJSRKJBKqqEo1G\niUajTf3M9UQIQV9fH4FAgMnJSa5evUpXVxcDAwM7FuQMw2B2dpbV1VXcbjf79u1rWs20ZiOEwOv1\n4vV66e3txTAMcrncprC1urrK8vIycEvY8vv9eL3eXQlbtwtV93qUy+W73vMoOcb2jNLhC7pYmV0j\nt17EE2j9DKa15erM+Y7u5l2wbA4L0hBIaaDrBqp6/wtLuaTh9Jg5Ok1MTEzamfDAIBNn3sPmdJFK\n3Xzo+sXMOnqlslkLqlncqj0V37KQtVnLKxTZ1r7KhTzf+aN/QWk9xVf+6T/mF/+Hf8zA0WNbjzUY\nZuXa9kS3VrB09RKK1brtumMmD8fudjN48jn6jp8kPnWdxcsfMfnO29w48x4d/YOU8/mqWJXNII1b\nDikhFOxeLw6vH+9IJw6fD4fXj8Pnw+Zyc3P8ClffPc3kT96jUiriDUc49MonOfjyKS5OTPHaJz9J\nNr7K6vWrxKYn8JTL2D1eovsOEN13CId3e+m2LDYbfYeP0nf4KPDLVMollieuMXf5IjevXOTDN7/B\n2W9+FSEUOkdGbxO2DmNzujA0jfXlRVI351i7OUdhfQ0LMLO6sLF9O5YNMcpid+Dw+jeWq3+3bi7f\n9myzb0tUMgwdvVxBr5TRy2W0crm6XNlYvs/rcj6PyK1z9c++jcVmJzg0Qnh4DH9P76bQZ7L3kRtC\nVrPdKcLnxJiJ37c21ialCsK7/diEENj6vNj6vAR+bpjsj5bgzRly7y/hebFnl9HvHsXnQGejTljH\nnSK4vl5CqWxve1I30OfXUKK+uqXlazZCCJSQByORfehEGGlIZCqPvpquCoK5qvgvvA7UkQhq1Ifw\nO+/aRsxS4vCL+9Gur6DPJtCX1rEe7Ebp9rdMKJIlDW1qFX0uCQqoY1HOzV/jZP8B9LkExk9mqp9r\nMITaE0A8YPzB5G5ksYKxlsdYz9NbcWJkiyieR3NA18Qkn88jhGh6ij+3283a2lpTJjEmk0kSiQTd\n3d309fXt2TR5H8fj8fDEE08wPz/P8vIy6+vrjI2NbVugy+fzTExMUCgU6O7upr+/f8841OqBoih3\nCVu3O7ZWVlY2hS23232HsHT7ubQTocput2O32/H7/ZvLdnvVeJPJZO5yjNWELa/Xu+dqfO0dIStU\nvcnOJPJtImTlqJR0okeaU8C+hsNtQwhBPl3C23H/41ApapvHzMSkXUjHC0yfjzHzUZy1pIGydI3I\noJfIgI9gtwvF7BztiLXlHNfPrLB4PYX0SYxXJUobzPg1eTjhgSGQEl3XqeTzGLr+wEHimjjkabaQ\nFQxt7D9GaHB4S+/JJWIgBO6O7c3O/tGf/Eeya0lGP/N5Upc+4PV/9hv8wn//Dxg6dmJrsW4IZ9lE\nrG2FrEqxQHxmks79h7Dc56ZR1zQUVTVnQe8C1WKh88BhovsPsb50k8VLH5Gcn8Xu8eIORQgNjeLw\n+nD4/Di8Puxuzx0psaSUrExN8NE3vsK1H71Dfj2F3e3m0MunOPTyKXoPHt5cX5merc7Ki3TijXQy\n9NzLJG/MsDpxlfkPzzL/4Vl83b107jtIaGgUdQez4Kw2e1WsOlIVdiulIksT15i/fIH5Kxc59+2v\nc/HP3yQQiRLtH8TpciEAoaj4u3voPHiYiYVlXj51CtVmb8q5pSgqikPFuoOZmKe/9zbHRkeIz0yS\nmJlk9fpVLHYHoaERwiNj+Lt692QKM5NbGOki2C0PTd9XbxSfA11KShNJ3C90o95n8p8saSjh3cUm\nrCqeV3tZ+sk04q1ZnEdDqL7Wpmy7o07YbUKWnimz8s8/oE8oGK9oKI6tfXZjJQ1lDXVgb7qxaigh\nN8byOjJXRnws64qs6BjxbFW8imWgooMQKEE36kCw6rxyPXwQSNgsWI/2ovZ1ULm8SOWjeZSbSSyH\ne5oqcEjdQJ+No03HQDNQ+4NYxqIIh5XiwlWs+zqxjETQl1Loswm0Swto15ZRB4JYBkIIx96dyd0o\npGEg08WqcJWqPihuqMKKoM9wUn5noioMdvtRugNbOmdMTPYKtTpVzRYu3G43sViMSqXS0MF4TdOY\nnZ3F5XIxMDDwyPXRVFVlaGiIQCDA1NQUly5doq+vj56eh6dol1ISi8WYnZ1FVVUOHjxIINCcet7t\njKIom0IVVAWqmqiUTqdZXl5maWkJqIqJNpuNDz744J5Clc1mw2634/P57hCqao8HfUc+n+8ux1gm\nk9ms7wbgcDjuENbaWdjaM0KW3WXF5rSSTubpHm19bs1CrkQhrREZaO4gWUenh0I+x9py9r5ClqEb\naBUd2xY7HyYmjSS5lGP6wxjT52PE5qqp00K9HoQC4+8vc/H71ZnhqlUh3OchOuA1xa0tkF0rMnF2\nlYkzK9XjKsAfdrI+IfmT1TO8+lf20z1m3jy0O+H+QQAKG6kYSrksTt/9J0jkEjGEUHB1NLcdVK02\nnP7AppC2FXKJOK5A8I5Ubg9jZWaKD974Jsc+9TNYh8f46b/0Rb78v/x9vva7v8kv/O2/z/CJpx+6\njVuiW5zQ4MiW991MVq5fReo6XQfvTpsYn7/B2W++ztV3TyMEuPwduPwB3IHAxnP19e3Lbn8HdreZ\n+ud+CCEI9PQT6Onf0vqp5SWuvnuaq+9+j7WlRVSLhZGTz3Lo5VMMn3gGyxZEKNViITK6j8joPkrZ\nDKuT11idGGfiB99l6r0fEB4eo3PfQbyd3Tv+3qx2B70HDuPx+enqH2Tt8OxmitJKpcLK/A1SsVWy\n6+tEhkcZOHKMdMXAkBLLXjhXhEJwYIjgwBCGprG2MEd8ZpLY9AQr165gdTg3RK19+Dq7TVFrDyLT\nhZbUChIb+7T6Lfd1Y0ndAM2oi8gmhCB22MD1nkHqW9OEfvnQrre5KxxWsKrITOGOP6e+MYVR0rEa\nkPzja4T+i8NbSoWozSUQLhtK2NOoiJuCEqrGbySyKB47slCuClcrGYxkrloX0aqiRLyoUR9K2LPj\n1IBKwIXtxVH0uSTa9WXK706iDoexjEbrlu7xXkgp0RfW0K6vQElDiXqxHOi6p4gmVAVLXxC1twMj\nmau6yKZi6NNxlG4/lqEQiv/xnTgri5VNwcpYy1cdpsZGMTyHFaXDhRKoPoTPwY++/w7PDR9BX1qv\nHv/rKwi/E7Xbj9oVQDhNcdBk7yKlJJ/Pt0S8qNXkyuVyDR18v3nzJpVKhQMHDjzSfa5AIMDx48eZ\nmZlhfn6etbU1xsbG7pseUNM0pqenSSaT+P1+RkdH21oEaSWKouD3+zfrkOm6fodjC7inUGWz2eoi\nEN/uGIONshW3pUJMJBKsrq4Ct4StmmOr5u5qB/aU0uELuViPPdzu32gMQyKlgTTAamuulTQ66GPq\nQobkUpaBQ/dO11Qp6QBmjSyTliClJDaX2RSv1par+Yq7Rny8+BfHGDkRxh9xcfr0aT7x6qukVvOs\n3sgQm6s+7iVuRQa8RE1xi2KuwtQHq1z/yQqLkymQEB308vIX9zF2MorLb+Mb/+9pUlcrfPX3PuDA\n81288IujuP3t0+iY3EmgqxuL1UYmmcAClLKZhwhZcZwdHS2pF+MORcisLG15/WwytmXhAKopyP78\nX/0LnD4fr/zVX+X9s2dx+fx88R/9Nl/+rX/I13/vn/C5v/X3GHv6uQduR7Vacfo7qo6wNkRKycr4\nZXxdPZuim5SS+csXOPvNrzJz/hwWu52jr/0UdreHfGqN3HqKbDLJyswU+fXUHenwaqgWy8dEr457\nil+GtoWaRY8h+fQ61957h6vvfI+liWsA9B9+gmf+whfY99yLONw7H6C1e7z0P/k0fcdPkl5ZYvX6\nVeLTE6xev4rD5ye67yDRfQexb2EfUkoKqSRrG+kC08uLSMNAsVjwd/fR+8QJAn0DOH1+ysUCi9eu\nMn/lIvOXL/CTr38ZaRhMvvFVokMj9B44TO/Bw/QcOIxnm87JZqNYLIQGRwgNjqBrGqmbN4hPT7I6\neY3l8ctYnU5CQ2OER8aqotYjPMDwqCB1A5kroXRuL+VmPdByGoYmcYx6H+jGArZVI+tBVNzge22A\n9HduUDyZxHGgdb+5W3XCipt/K1yKU7gYx/czg0zOzxC9kiT95zfw//TQA7dlZIrItTyWg117/ncn\nXDZwWNFvJNDnk8hM9fgItw11KFRNGRhw1a3OmRACy2AItctP5doS+nQMfTGF9XB3NU1jHY+nlBIj\nnkUbX0JmSwi/E+uTAyjBh6eNEkKghjyoIQ9GrlQ9PjfXKC+mEB0uLINhlE5fU+u/yVIFY71ARLOj\nr6SrgqJVRdg2nus8sWHTbXWbcLXpthKiKkgNhKrCVYfrno61ipBYhsJYhsJVkXRpHX0phTa+jDa+\njOhwoXYHULt8CLspapnsLSqVCpVKpSW1omr7zOVydHRsr8bhVsnlciwvL9PZ2YnHs7cnbWwFi8XC\nvn376OjoYGZmhgsXLjA4OEg0Gr2jbcpkMkxOTlIqlejv79+Se8vkFqqq3iFsnT59mrGxsabtXwiB\nx+PB4/HQ09OzKUjfS9iqucFq4lYr2VNKhy/kIn5znWKujNPTuoHZfLpYzf3qbn4MkQEvl36oYbEW\n77tOeaPjZTUdWSZNwjAky1PrTH8YY+r8KtlkCaEIevcHeOJUH8PHI3g67v69CEXQ0eWmo8vNgee6\ngGre+Y+LW9feX+bSPcStqsD1aItblZLO7IU418+sMHc5gaFLAp0unv3cMPue7iTQeedMSP+A4LN/\n5XnO/eksH35njunzMZ793DBPvNb3wLp6Jq1BUVSCff0klxeJRiKbbor7kU3E6egbaFJ0d+IOholP\nT1ApFbHaH5z+plzIU8nnt1XL68J3/pTlqQk+++t/G8dtHQSn18cX/8Fv8ZXf/od88/d/m8/9d3+X\nfc+9+OBYQ2HS2xDdmklqYY5iJs3AyefRNY3r77/L2W++zursFC5/gJf+8q9w/Kc/i/M+9ZSkYVDI\nZjYFrvx6ilxqjfxty5lk4r6il7BYSJ19l+ETTzP85NMEOrua8bHbkkqpyOTZHzP+7mlmP/oAQ9cJ\nDwzxyi//Kgdf+gS+8Pbquz0MIQT+rh78XT2MvPAK8ZkpVifGmTv3Y+Y++AmBnn6i+w8SGhi+w8mo\nlUusL97cFK/KuWqdVlcgSPfhY3T0D+Dr7LlL4LY5nAwdf4qh408B1d/lm3/ynwk7rCyMX+HCd9/i\ngze/AYC/s2tT2Oo9cIRgb1/bdkRVi4XQ0CihoVH0SoW1mqh1/SrLVy9ic7kJDY0SHhnDG937g+uP\nKjJTBNn8+lgA2e/dxIqOre8BbpJSdZC6ngPK3k/0kT+/ytrXp+j6W/4du3nqgfA6MeYS1XpPRY21\nr09i7XbjfbWP9A+mGXJ1knl7HluPB+fR+7fl+lwCFIHa25jBw2YihECNetHnkogOd9WpFPWhNHjc\nQdgt2I71Y/QFqVxeoPLBHErEW003WIfUc8Z6Ae3aEkYih3DZqgJW186EMsVtRzncg2VfJ/rCGvps\ngsr5OXBYq6Jcf7Cu57WUEooVjHQBY72ITBcw0gXYGO8YxUPlgxt3v1FVqoLWprhlqcZlUzdEr+rr\nu/62IcbJUuWOFIFy/WNuq8Cdbqvt1g4TThuWkQiWkQhGroRRE7WuLKJdWUQJuVG6A6idPoTNHNMx\naX9yG9lFau6oZqKqKg6Hg3w+35DtSymZnp7GarXS37/1SZqPAuFwGK/Xy9TUFDMzM6ytrTEyUs14\nsri4yPz8PFarlSNHjrRc3DDZPUII3G43breb7u7uu4SttbU1YrHqZGG73c7ly5dxuVybD6fTiWUb\n2Xh2yp5qFX3B6kUxnci3VMhKLlUHGgOdzZ9tYHNYkJqszgq6jzOtUqze2JmOLJNGomsGC9fWmDof\nY+Z8jEKmgmpR6D8c5NnPjTB8LIzDs/3O/4PErdhcZlPguvbje4tb4T4P4X4voR43liY7JuuFrhvM\nX0kycWaF6Y/iaCUdd8DOsU/2s/+ZTsL9ngd2Pq12led/YZSDL3Tz7pcm+OGXJ7ny7iKv/NJ++g+2\n96z7x5HIwBA3Lp5/qJBVzueoFPK4gzurj6VrGuM//D56aWeOnJoolUvECfTcOxVTjVu1vLYmBGTX\nkrzzn/4dA0ePc/DlU3f93+Hx8IV/8E/4yj/9x3zzD36Hz/7Nv8PBF199YKzx6QkqxeKOavM0kqWr\nl7A4HNy4eonXf/+3ycRjBHv6+PSv/U0Ov/LafWtm1RCKgsvnx+Xz87Az4Q7RK5Uit77Gue9/j7Wl\nBWY+PAtAR08fIydOMvTk0/QdOrqltHl7GUPXmbv0EVff+R4TZ96nUizgCYU5+XOf59DLp4hssQbc\nblGtNjr3H6Jz/yEK6XVWJ8aJTYxz/Xt/hsVmJzy6D5vLTermHOnVZZAS1Woj0NtH4Mmn6egb2HYN\nOJvThX9gmJdOnQKq14TV2SkWxq+wMH6FmfPnuPKDtwFweH30Hji0KW5Fh8fa8txQrVbCw2OEh8fQ\nK2WSczeIz0yyfO0yS1cuYHN7CG+IWp5IpylqtRE1N5BospBVieXJn18l8EoYmSvdtz9Vc2TVs36X\nsCgEPj9G/F9dJP32PP6fGarbtreL4nOgGxKZK5H60zmMXIXwrx6tDsgL6Pj8GNpqnuSXrhENO7F2\n3d3vlRUdfSGF0u1/ZAbbLYd6sBzoQlia34dQgm5sL+1DvxFHm1il/M51LKMR1OHItoUSACNfRptY\nwVhMgVXFcqgbdSBYF7eSsKpYhsKogyGM1Uy13ta1ZbTJFdTeDtTB0LZrfkkpkfnyhlhVRK5viFYV\n/dZ+PXaUkAfF50TxO/nx+XM8d/IZZEWDio4s69Xnioas6FDWq8/FIsbGOsgHBKEq1Ud5415ZCITf\nUa2DFnBXhas6pwBU3HaUsSiWsShGpoi+tI6xlKrWJbu8gBL2VmtqRX0tFb9N6oNhGBSLRfL5/B2P\nQqHA8vIy+Xy+JWLQbmmlkFXbby2GerOyskIul2NsbKwpg/Ttht1u59ChQywvLzM3N8eFCxew2WzM\nzc0RDAYZGRl5LI/L48C9hK1CoUA6nWZychIpJfF4HF2/1U7bbLY7xC2Xy4XD4ahr7bw9dbY5vTYs\nNpV0Ik/nYOtmfSWXcuiaQXTo/umfGondZUMogkK2jMt7t6BnOrJMGkWlrDN/OcnU+VVmLyQoFzSs\ndpXBJ0KMPBlh8GioIbXZbhe39j97D3FrLkPsRk3cql5EhYBAl3tD2PIQ6fMS7vfg9LZnvl5pSJam\n1rl+ZoWpc6sUcxXsLgv7n+1k/zOd9IwFtp2yIxB18blfP87shTjvfOk63/iD84w+FeWlL4zhDbbX\n4P7jTKh/kMvf/y5Wp5PShtPiXtTEoe24nG7nnf/07zj3rdfxDQzzyU9/etsDGTVRKpeIbUHIqs7U\n2arodvrf/2v0SplP/Zd/474DzXaXmy/8T7/JV3/nN3jjf/89DF3n8CuvPTjWbaY3bDSJmzdIzs2y\nMjfH7Phl+g4d5VN//b9h5MQzDanvc4fotWHkW9UFp06dqopZ588x8+FZzv/ZG5z79tex2h0MPHGc\n4SefZvjESXzhaN1j2i66pqGVS1RKJbRSqbpcri5vPpdKaOXyrfVue75jvXKJ5MJN8usp7C43B198\nhUMvn6Lv0NGW1ldy+vwMnnyOgaeeZX3xJisTV1m9fhVD13GHwvQdO0GgbxBvtBNFqd8glmqx0D12\ngO6xAzz9uV9ESsna0iIL1y6zMH6FxWtXmDr7YwAsVhtdY/s3UhEeomf/oV2lW2wEqtW2WZdMK5dJ\nzs2QmJlk6epFFi9/hN3jJTQ82uowTTaQmQJYlKbXhcm8PY+wKNj3h9AnVpD5MuIeWTYaIWQBOEYD\nuJ6KkvnBTVxPRrC2YGIk3BIQy9fj5M+t4D3Vj6331m9aWBRCv3KIlf/jPPF/f4XOX38SxXXnd6Uv\npkA3sAy0vn51vRCKgDpeZ3eyf8twBLU7QOXqEtrEKvpCCsvhHtTI1iYvyLKGNh1Dn02AAHXD+dMI\nEUQIgdrpQ+30YaQL1Tpa82voc0mUsAd1KFytJfaxezspJTJb2nRYGemq2wrNqG0Y4bVXHUkbopXw\n3u18KikGin/rYriUEjSjKm5VdGR5QwCr6FATvzSjQPbL9wAAIABJREFUKpgFXAifc0ci4k5RvA4U\nrwO5L4pMF9GXUujL6xgXMqCIan22bj9KxNfQWmomW6MmShUKhbuEqXsJVbV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PveyXQfbaV9w1ly//yW6z54H9rbSORsB1kPV2LIGroFuuSyojV1oce1QVsDap3d6J3dGKZP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\np54al5ODMuMVe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OWdd6Z8u+kwkZ4jxFpTb6KsEybWWie6vvuz6VOrdMOSipQ/hmu5gjvF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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"feedstockList = ['waste', 'algae', 'cellulose', 'sugar', 'paper', 'wood', 'residues', 'corn']\n",
"\n",
"\n",
"palette = plt.get_cmap('tab20')\n",
"plotCounter = 1\n",
"colorCounter = 0\n",
"plt.subplots(1,1,figsize=(30, 10))\n",
"\n",
"for term in feedstockList:\n",
" termPat = getDocuments('Feedstock', term, 'PATENT', 2000, 2017)\n",
" termPub = getDocuments('Feedstock', term, 'PUBLICATION', 2000, 2017)\n",
" plt.subplot(2,4, plotCounter)\n",
" plt.plot(termPat['Years'], termPat['NormQuantity'], label = 'Patents', color = palette(colorCounter))\n",
" plt.plot(termPub['Years'], termPub['NormQuantity'], label = 'Publications', color = palette(colorCounter + 1))\n",
" plt.grid()\n",
" plt.xlim(2000,2017)\n",
" plt.ylim(-0.05,0.5)\n",
" plt.title(term.upper())\n",
" plt.legend()\n",
" plotCounter += 1\n",
" colorCounter += 2\n",
" \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Comparing the patenting and publication rates of individual terms "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.1. Function design "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We create a function that given a certain process type (e.g. Output, ProcTech or Feedstock), returns the total assets in terms of patents and publications. "
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"def get_asset_distribution(processType):\n",
" \"\"\"\n",
" This function takes a process type, say Feedstocks and returns the total assets in terms of Patents\n",
" and Publications for that same asset. \n",
" \"\"\"\n",
" q = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(fs:{})\n",
" WHERE a.type=\"PATENT\" OR a.type=\"PUBLICATION\"\n",
" RETURN fs.term,a.type, count(a)\n",
" ORDER BY fs.term\"\"\".format(processType)\n",
" \n",
" q_total = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(fs:{})\n",
" WHERE a.type=\"PATENT\" OR a.type=\"PUBLICATION\"\n",
" RETURN a.type, count(a)\"\"\".format(processType)\n",
" \n",
" data = DataFrame(connection_to_graph.data(q)).as_matrix()\n",
" patent_total = DataFrame(connection_to_graph.data(q_total)).as_matrix()[0, 1]\n",
" publication_total = DataFrame(connection_to_graph.data(q_total)).as_matrix()[1, 1]\n",
"\n",
" terms = list(set(data[:, 2]))\n",
" patents = []\n",
" publications = []\n",
" \n",
" \n",
" for term in terms: \n",
" publications.append(0)\n",
" patents.append(0)\n",
" for data_row in data: \n",
" if data_row[2] == term and data_row[0] == \"PUBLICATION\":\n",
" publications = publications[:-1] + [data_row[1]]\n",
" if data_row[2] == term and data_row[0] == \"PATENT\":\n",
" patents = patents[:-1] + [data_row[1]]\n",
" \n",
" distribution = {}\n",
" distribution['terms'] = terms\n",
" distribution['publications'] = publications\n",
" distribution['patents'] = patents\n",
" distribution['publications_norm'] = [e / float(publication_total) for e in distribution['publications']]\n",
" distribution['patents_norm'] = [e / float(patent_total) for e in distribution['patents']]\n",
"\n",
" return distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.2. Feedstock \n",
"\n",
"We start by analysing Feedstock terms."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EuGeffZYPPviAV155ha5du3odp9CpzIiIiES4YcOG0bx5cxo0aOB1FE9oArCIiEgE2r59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\nWdr/A5m4KyNzwYmsAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"processType = 'Feedstock'\n",
"distribution = get_asset_distribution(processType)\n",
"\n",
"def get_closest_in_line(i):\n",
" x0 = distribution['publications_norm'][i]\n",
" y0 = distribution['patents_norm'][i]\n",
" m = 1\n",
" k = 0\n",
" x = (x0 + m * y0 - m * k)/((m ** 2) + 1)\n",
" y = m * ((x0 + m * y0 - m*k)/((m**2) + 1)) + k\n",
" return [x, y]\n",
"\n",
"\n",
"fig, ax1 = plt.subplots(figsize=(9,9))\n",
"plt.scatter(np.asarray(distribution['publications_norm']), np.asarray(distribution['patents_norm']), marker=\".\", color='purple')\n",
"plt.plot([-0.1, 0.11], [-0.1, 0.11], ls='--', color='black')\n",
"for index, term in enumerate(distribution['terms']):\n",
" other_ = get_closest_in_line(index)\n",
" if distribution['publications_norm'][index] < distribution['patents_norm'][index]:\n",
" color = 'red'\n",
" else: \n",
" color = 'blue'\n",
" \n",
" plt.plot([distribution['publications_norm'][index], other_[0]], [distribution['patents_norm'][index], other_[1]], color=color, lw=0.7)\n",
"\n",
"\n",
"plt.title('{} asset distribution.'.format(processType))\n",
"plt.xlabel('{} Publications'.format(processType))\n",
"plt.ylabel('{} Patents'.format(processType))\n",
"plt.xlim([-0.01, 0.11])\n",
"plt.ylim([-0.01, 0.11])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There appears to be a high positive correlation, the more patented a term is, the more researched it is. \n",
"\n",
"Every term has been normalized. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Outlier Detection**\n",
"\n",
"We create a function that returns the outliers of a given list."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Name | \n",
" Patent Percentage | \n",
" Publications Percentage | \n",
" Distance to Mean | \n",
" Bias | \n",
"
\n",
" \n",
" \n",
" \n",
" starch | \n",
" 0.030417 | \n",
" 0.008816 | \n",
" 0.015274 | \n",
" Patents | \n",
"
\n",
" \n",
" grain | \n",
" 0.029412 | \n",
" 0.008946 | \n",
" 0.014472 | \n",
" Patents | \n",
"
\n",
" \n",
" agriculture | \n",
" 0.008798 | \n",
" 0.024893 | \n",
" 0.011381 | \n",
" Publications | \n",
"
\n",
" \n",
" sugar | \n",
" 0.064605 | \n",
" 0.050823 | \n",
" 0.009745 | \n",
" Patents | \n",
"
\n",
" \n",
" waste water | \n",
" 0.006662 | \n",
" 0.020420 | \n",
" 0.009729 | \n",
" Publications | \n",
"
\n",
" \n",
" algae | \n",
" 0.077049 | \n",
" 0.063788 | \n",
" 0.009376 | \n",
" Patents | \n",
"
\n",
" \n",
" paper | \n",
" 0.031674 | \n",
" 0.044470 | \n",
" 0.009048 | \n",
" Publications | \n",
"
\n",
" \n",
" blend | \n",
" 0.023504 | \n",
" 0.010956 | \n",
" 0.008873 | \n",
" Patents | \n",
"
\n",
" \n",
" energy crops | \n",
" 0.004022 | \n",
" 0.016271 | \n",
" 0.008661 | \n",
" Publications | \n",
"
\n",
" \n",
" sewage | \n",
" 0.010935 | \n",
" 0.022689 | \n",
" 0.008311 | \n",
" Publications | \n",
"
\n",
" \n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"In 170 terms, 80 appear more in patents and 90 appear more in publications.\n"
]
}
],
"source": [
"def distance_to_mean(i):\n",
" x1 = distribution['publications_norm'][i]\n",
" y1 = distribution['patents_norm'][i]\n",
" x2 = get_closest_in_line(i)[0]\n",
" y2 = get_closest_in_line(i)[1]\n",
" \n",
" distance = math.sqrt(((x1 - x2)**2) + ((y1 - y2)**2))\n",
" return distance\n",
"\n",
"def winner(i):\n",
" x1 = distribution['publications_norm'][i]\n",
" y1 = distribution['patents_norm'][i]\n",
" if x1 > y1:\n",
" return 'Publications'\n",
" else:\n",
" return 'Patents'\n",
" \n",
"# create dataframe\n",
"term_Dataframe = pd.DataFrame(\n",
" {'Name': distribution['terms'],\n",
" 'Patent Percentage': distribution['patents_norm'],\n",
" 'Publications Percentage': distribution['publications_norm'],\n",
" 'Distance to Mean': [distance_to_mean(i) for i in range(len(distribution['terms']))],\n",
" 'Bias': [winner(i) for i in range(len(distribution['terms']))]\n",
" })\n",
"\n",
"# prepare dataframe\n",
"term_Dataframe = term_Dataframe[['Name', 'Patent Percentage','Publications Percentage', 'Distance to Mean', 'Bias']]\n",
"term_Dataframe = term_Dataframe.sort_values('Distance to Mean', ascending=False).head(n=10)\n",
"display(HTML(term_Dataframe.to_html(index=False)))\n",
"\n",
"counter=collections.Counter([winner(i) for i in range(len(distribution['terms']))])\n",
"\n",
"print 'In {} terms, {} appear more in patents and {} appear more in publications.'.format(len(distribution['terms']), counter['Patents'], counter['Publications'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then plot the above lists's boxplot. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.3. Processing Technologies "
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CQMWMRJ/rr/eKmXbt4MABv9OIiE9WrlxJamoq5cqV49VXX6V8+fJ+R5IQUTEj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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"processType = 'ProcessingTech'\n",
"distribution = get_asset_distribution(processType)\n",
"\n",
"fig, ax1 = plt.subplots(figsize=(9,9))\n",
"plt.scatter(np.asarray(distribution['publications_norm']), np.asarray(distribution['patents_norm']), marker=\".\", color='green')\n",
"plt.plot([-0.1, 0.15], [-0.1, 0.15], ls='--', color='black')\n",
"for index, term in enumerate(distribution['terms']):\n",
" other_ = get_closest_in_line(index)\n",
" if distribution['publications_norm'][index] < distribution['patents_norm'][index]:\n",
" color = 'red'\n",
" else: \n",
" color = 'blue'\n",
" \n",
" plt.plot([distribution['publications_norm'][index], other_[0]], [distribution['patents_norm'][index], other_[1]], color=color, lw=0.7)\n",
"\n",
"\n",
"plt.title('{} asset distribution.'.format(processType))\n",
"plt.xlabel('{} Publications'.format(processType))\n",
"plt.ylabel('{} Patents'.format(processType))\n",
"plt.xlim([-0.01, 0.15])\n",
"plt.ylim([-0.01, 0.15])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On average, processing technologies are more researched than patented. Which makes sense because they concern technologies and not processes."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Outliers**"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Name | \n",
" Patent Percentage | \n",
" Publications Percentage | \n",
" Distance to Mean | \n",
" Bias | \n",
"
\n",
" \n",
" \n",
" \n",
" pressing | \n",
" 0.134257 | \n",
" 0.012747 | \n",
" 0.085921 | \n",
" Patents | \n",
"
\n",
" \n",
" anaerobic digestion | \n",
" 0.014385 | \n",
" 0.130609 | \n",
" 0.082183 | \n",
" Publications | \n",
"
\n",
" \n",
" fermentation | \n",
" 0.274907 | \n",
" 0.188580 | \n",
" 0.061042 | \n",
" Patents | \n",
"
\n",
" \n",
" catalysis | \n",
" 0.015450 | \n",
" 0.077353 | \n",
" 0.043772 | \n",
" Publications | \n",
"
\n",
" \n",
" hydrolysis | \n",
" 0.116676 | \n",
" 0.142483 | \n",
" 0.018249 | \n",
" Publications | \n",
"
\n",
" \n",
" fast pyrolysis | \n",
" 0.004795 | \n",
" 0.029335 | \n",
" 0.017352 | \n",
" Publications | \n",
"
\n",
" \n",
" pyrolysis | \n",
" 0.072456 | \n",
" 0.095512 | \n",
" 0.016303 | \n",
" Publications | \n",
"
\n",
" \n",
" enzymatic hydrolysis | \n",
" 0.027704 | \n",
" 0.049939 | \n",
" 0.015723 | \n",
" Publications | \n",
"
\n",
" \n",
" gasification | \n",
" 0.052211 | \n",
" 0.033525 | \n",
" 0.013213 | \n",
" Patents | \n",
"
\n",
" \n",
" pyrolysis oil | \n",
" 0.022909 | \n",
" 0.009080 | \n",
" 0.009779 | \n",
" Patents | \n",
"
\n",
" \n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"In 48 terms, 25 appear more in patents and 23 appear more in publications.\n"
]
}
],
"source": [
"# create dataframe\n",
"term_Dataframe = pd.DataFrame(\n",
" {'Name': distribution['terms'],\n",
" 'Patent Percentage': distribution['patents_norm'],\n",
" 'Publications Percentage': distribution['publications_norm'],\n",
" 'Distance to Mean': [distance_to_mean(i) for i in range(len(distribution['terms']))],\n",
" 'Bias': [winner(i) for i in range(len(distribution['terms']))]\n",
" })\n",
"\n",
"# prepare dataframe\n",
"term_Dataframe = term_Dataframe[['Name', 'Patent Percentage','Publications Percentage', 'Distance to Mean', 'Bias']]\n",
"term_Dataframe = term_Dataframe.sort_values('Distance to Mean', ascending=False).head(n=10)\n",
"display(HTML(term_Dataframe.to_html(index=False)))\n",
"\n",
"counter=collections.Counter([winner(i) for i in range(len(distribution['terms']))])\n",
"\n",
"print 'In {} terms, {} appear more in patents and {} appear more in publications.'.format(len(distribution['terms']), counter['Patents'], counter['Publications'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.4. Output \n",
"\n",
"We take a look at the outputs. "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
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JifE6ksgZaQKwiIj8QVJSEjt27CA5OVmnlyTkaWRGREQAcM7x/vvv45yjRo0a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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"processType = 'Output'\n",
"distribution = get_asset_distribution(processType)\n",
"\n",
"fig, ax1 = plt.subplots(figsize=(9,9))\n",
"plt.scatter(np.asarray(distribution['publications_norm']), np.asarray(distribution['patents_norm']), marker=\".\", color='brown')\n",
"plt.plot([-0.1, 0.32], [-0.1, 0.32], ls='--', color='black')\n",
"for index, term in enumerate(distribution['terms']):\n",
" other_ = get_closest_in_line(index)\n",
" if distribution['publications_norm'][index] < distribution['patents_norm'][index]:\n",
" color = 'red'\n",
" label = 'Patent Bias'\n",
" else: \n",
" color = 'blue'\n",
" label = 'Publication Bias'\n",
" \n",
" plt.plot([distribution['publications_norm'][index], other_[0]], [distribution['patents_norm'][index], other_[1]], color=color, lw=0.7, label=label)\n",
"\n",
"\n",
"plt.title('{} asset distribution.'.format(processType))\n",
"plt.xlabel('{} Publications'.format(processType))\n",
"plt.ylabel('{} Patents'.format(processType))\n",
"plt.xlim([-0.01, 0.31])\n",
"plt.ylim([-0.01, 0.31])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Outputs appear to have the same behaviour as processing technologies, a higher tendency to be published rather than patented. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Outliers**"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Name | \n",
" Patent Percentage | \n",
" Publications Percentage | \n",
" Distance to Mean | \n",
" Bias | \n",
"
\n",
" \n",
" \n",
" \n",
" biogas | \n",
" 0.053657 | \n",
" 0.140277 | \n",
" 0.061249 | \n",
" Publications | \n",
"
\n",
" \n",
" bio-oil | \n",
" 0.019483 | \n",
" 0.087388 | \n",
" 0.048016 | \n",
" Publications | \n",
"
\n",
" \n",
" butanol | \n",
" 0.091025 | \n",
" 0.032547 | \n",
" 0.041351 | \n",
" Patents | \n",
"
\n",
" \n",
" ethanol | \n",
" 0.303417 | \n",
" 0.245403 | \n",
" 0.041023 | \n",
" Patents | \n",
"
\n",
" \n",
" gasoline | \n",
" 0.088790 | \n",
" 0.037266 | \n",
" 0.036433 | \n",
" Patents | \n",
"
\n",
" \n",
" bioethanol | \n",
" 0.045992 | \n",
" 0.077787 | \n",
" 0.022483 | \n",
" Publications | \n",
"
\n",
" \n",
" biodiesel | \n",
" 0.157458 | \n",
" 0.179333 | \n",
" 0.015468 | \n",
" Publications | \n",
"
\n",
" \n",
" cellulosic ethanol | \n",
" 0.007027 | \n",
" 0.023108 | \n",
" 0.011371 | \n",
" Publications | \n",
"
\n",
" \n",
" cellulosic biofuel | \n",
" 0.003833 | \n",
" 0.019528 | \n",
" 0.011098 | \n",
" Publications | \n",
"
\n",
" \n",
" pellets | \n",
" 0.022996 | \n",
" 0.009927 | \n",
" 0.009241 | \n",
" Patents | \n",
"
\n",
" \n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"In 45 terms, 25 appear more in patents and 20 appear more in publications.\n"
]
}
],
"source": [
"# create dataframe\n",
"term_Dataframe = pd.DataFrame(\n",
" {'Name': distribution['terms'],\n",
" 'Patent Percentage': distribution['patents_norm'],\n",
" 'Publications Percentage': distribution['publications_norm'],\n",
" 'Distance to Mean': [distance_to_mean(i) for i in range(len(distribution['terms']))],\n",
" 'Bias': [winner(i) for i in range(len(distribution['terms']))]\n",
" })\n",
"\n",
"# prepare dataframe\n",
"term_Dataframe = term_Dataframe[['Name', 'Patent Percentage','Publications Percentage', 'Distance to Mean', 'Bias']]\n",
"term_Dataframe = term_Dataframe.sort_values('Distance to Mean', ascending=False).head(n=10)\n",
"display(HTML(term_Dataframe.to_html(index=False)))\n",
"\n",
"counter=collections.Counter([winner(i) for i in range(len(distribution['terms']))])\n",
"\n",
"print 'In {} terms, {} appear more in patents and {} appear more in publications.'.format(len(distribution['terms']), counter['Patents'], counter['Publications'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.5. Comparison "
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
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AY4AuQGPgFmNM4z887VsgylrbFJgBvFS6KUVE5Ezmzp3Lddddx/79+6lcuTK1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\nSVJJsNRIkqSSYKmRJEklwVIjSZJKwv8HOfRLRubDnJoAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"processTypes = ['Feedstock', 'Output', 'ProcessingTech']\n",
"colors = ['purple', 'green', 'red']\n",
"\n",
"\n",
"fig, ax1 = plt.subplots(figsize=(9,9))\n",
"for master_idx, process in enumerate(processTypes):\n",
" distribution = get_asset_distribution(process)\n",
" \n",
" plt.scatter(distribution['publications_norm'], distribution['patents_norm'], color=colors[master_idx], lw=0.7, marker='.', label=process)\n",
"\n",
" \n",
"plt.plot([-0.1, 0.32], [-0.1, 0.32], ls='--', color='black')\n",
"plt.legend()\n",
"plt.xlabel('Publications')\n",
"plt.ylabel('Patents')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}