{ "cells": [ { "cell_type": "markdown", "id": "493a22a9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

GEOG 172: INTERMEDIATE GEOGRAPHICAL ANALYSIS

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Evgeny Noi

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Lecture 06: Point Pattern Analysis

" ] }, { "cell_type": "markdown", "id": "1a792356", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Point Pattern Locations \n", "\n", "* Fixed objects in space (intersection and traffic volume). Location is secondary to the value of observed traffic \n", "* Sample of continuous geographic process (both the location and value matter!) \n", "\n", "> Point pattern - manifestation of a geographic process " ] }, { "cell_type": "markdown", "id": "580dc2f9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "##### Consider a series of point locations $(s_1, s_2, ..., s_n)$ in a study region $\\mathcal{R}$. For a two-dimensional space where each point $s_j$ can be defined with a pair of coordinates, such that $s_j = (x_j, y_j)$ for each location $j$. \n", "\n", "##### A point process is a stochastic mechanism that generates a countable set of events\n", "\n", "##### Examples: trees on a plot, meteor strikes, crime, animals in the field" ] }, { "cell_type": "markdown", "id": "e12af8b3", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Point Pattern Analysis (PPA) \n", "\n", "* Point pattern analysis (PPA) focuses on the analysis, modeling, visualization, and interpretation of spatial distribution of point data. \n", "* Applications: crime analysis, in epidemiology, and in facility location planning and management." ] }, { "cell_type": "markdown", "id": "b753ceb5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# PPA \n", "\n", "* The pattern is judged against the hypothesis of complete spatial randomness (CSR) \n", "* Departures from CSR can be due to two types of effects: \n", " * First-order effects (intensity of the process across space). Think about intensity of a desease. Violating the constant probability of event (due to underlying covariate). \n", " * Second-order effects (dependence and interaction between events). Think about how presence of infected individual influences the probability of infection in vicinity to that individual. \n", "* Once we have established the departure from CSR, further investigation may be required to pinpoint the location of such departure" ] }, { "cell_type": "markdown", "id": "d50574fc", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# PPA \n", "\n", "* Density-based methods - deal with first-order properties of data (variation across area of interest) \n", "* Distance-based methods - deal with second-order properties of data (influence on one another)" ] }, { "cell_type": "markdown", "id": "8c77a635", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "\n", "Source: [Intro to GIS Spatial Analysis](https://mgimond.github.io/Spatial/index.html)" ] }, { "cell_type": "markdown", "id": "533fe78d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Methods of PPA \n", "\n", "* Kernel Density Estimation \n", "* Quadrat Analysis \n", "* Nearest Neighbor Analysis \n", "* Ripley's K " ] }, { "cell_type": "markdown", "id": "7a710d84", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The first case of PPA \n", "\n", "|from **THIS**|to **THIS**|\n", "|:-:|:-:|\n", "|||" ] }, { "cell_type": "markdown", "id": "a8de6951", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# John Snow and Epidemiology \n", "\n", "* Cholera was one of the deadliest diseases to affect Britain in the nineteenth century\n", "* It was believed that the disease was transmitted and spread by a ‘bad air’ or ‘bad smells’ from rotting organic matter\n", "* 1854 that the physician John Snow (1813-1858) made a major contribution to fighting cholera when he was able to demonstrate a link between cholera and the contaminated drinking water through his pioneering studies.\n", "* Case Study: Soho District and Broad Street Pump\n", "\n", "Read full story [here](http://www.ph.ucla.edu/epi/snow/snowcricketarticle.html)" ] }, { "cell_type": "markdown", "id": "f9fce425", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Cholera and John Snow \n", "\n", "> In the middle 1800s, people didn’t have running water or modern toilets in their homes. They used town wells and communal pumps to get the water they used for drinking, cooking and washing. Septic systems were primitive and most homes and businesses dumped untreated sewage and animal waste directly into the Thames River or into open pits called “cesspools”. Water companies often bottled water from the Thames and delivered it to pubs, breweries and other businesses. \n", "\n", "> 500 fatal attacks in 10 days" ] }, { "cell_type": "markdown", "id": "ca7f04ed", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "> John Snow found several important examples. A workhouse, or prison, near Soho had 535 inmates but almost no cases of cholera. Snow discovered the workhouse had its own well and bought water from the Grand Junction Water Works.\n", "\n", "> The proprietor of the brewery, Mr. Huggins, told Snow that the men drank the liquor they made or water from the brewery’s own well and not water from the Broad Street pump." ] }, { "cell_type": "markdown", "id": "5d337924", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Geographic Analysis on Cholera deaths \n", "\n", "* Does the data look random / uniform / dispersed? Or can we pinpoint the high concentration pockets? \n", "* Can we relate high concentration areas to probable causes (e.g. water pumps, cesspools)? \n", "* Two types of health geography questions? \n", " * How does the desease spread? (Pump) \n", " * How does the desease get to spreading environment? (Cesspools) " ] }, { "cell_type": "code", "execution_count": 2, "id": "e1e5cfe3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import pandas as pd\n", "import geopandas as gpd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "#import geoplot as gplt" ] }, { "cell_type": "code", "execution_count": 3, "id": "2f1a41e9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "'wget' is not recognized as an internal or external command,\n", "operable program or batch file.\n" ] } ], "source": [ "!wget https://github.com/barguzin/geo_data/raw/main/snow_data.zip -O snow_data.zip -nc " ] }, { "cell_type": "code", "execution_count": 4, "id": "3c40d825", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "'unzip' is not recognized as an internal or external command,\n", "operable program or batch file.\n" ] } ], "source": [ "! mkdir snow_data | unzip -o snow_data.zip -d snow_data/" ] }, { "cell_type": "code", "execution_count": 5, "id": "1f449d4d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# data documentation here \n", "# https://geodacenter.github.io/data-and-lab/data/snow_documentation.pdf\n", "death_by_build = gpd.read_file('snow_data/deaths_by_bldg.geojson')\n", "death_by_block = gpd.read_file('snow_data/deaths_by_block.geojson')\n", "pumps = gpd.read_file('snow_data/pumps.geojson')\n", "sewer = gpd.read_file('snow_data/sewergrates_ventilators.geojson')" ] }, { "cell_type": "code", "execution_count": 6, "id": "3bdbb9d8", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# sewer.plot(ax=ax, marker='.') # add sewers\n", "# sewer.loc[sewer.ventilator==1].plot(ax=ax)\n", "# sewer.loc[sewer.pestfield==1].plot(ax=ax)" ] }, { "cell_type": "code", "execution_count": 7, "id": "76578a97", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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C751CoWDL6DXv2LEj6TX39/cDiL1mQgjWrVs3bNDIaK5nqHehsbEx5l246qqr8Pvf/x4vvvgi3n33XaxatQpnnHEGli9fnvTdGIrf/va3uPfee4cM/U52bSN5h2UyGaqqqhLuN9Q7lS70dzBz5syE63Nzc1FWVoaWlhY0NTVh+vTpcDgc7NmfeuqpKZ9rNPcwXTLxLUjnfRsKevzp06cn7STU1dVh+/btKX2X0mXfvn3s3zS4Z8WKFbjjjjuSXuNISHYsjUaT0vpk9zPZ+z5lyhRIpVL4fD60trZi9uzZKCkpwUUXXYR//OMfqK6uxvLly7Fs2TKcccYZOPXUUyESpWXGAKQZ1VlSUgIAOHz4cNoniiaZx0h7KSQqGojeOI1Gk/QFKywsBBDr5SSD5rjZ7XZ88cUXCf98/fXXAI6GHafa/lAohIsvvhi9vb1YvXo1PvnkE5hMJgSDQRBCWKRVIBAYtp0jhfaIotNI6DV3dXUlvWYaWRh9za+88gqefvppZGdn4+mnn0ZzczPcbjdIZIgcl1566aivJ513obi4GNu3b8ePf/xj2Gw2vPTSS/j5z3+OqVOnYtGiRcwbSIVPP/0Ud999NziOw29/+1vs378fTqcT4XAYhBDcc889Q17bSN5htVqdtD30Hc4E9HxDpRIN/s3Y7Xa2LtWk8dHew3TJxLcgneeWSlvSuceZ5OOPP2a/Q6/Xi+bmZvzxj3/MqNEDIl50Iuj9H259svuZ7L5xHMeMZvR9e/nll/HAAw9Aq9Xigw8+wN13340zzjgDxcXF+MMf/pB23mJaho+mJnz55ZcZG2oajpycHACA0WhMehOpt0I90lSOt3jxYvbiJPuTrnberl270NLSgoqKCvzrX//CkiVLoFKpIBQKAWDEaRepEg6H2cf/5JNPZsvpNd9zzz3DXnN0+Phf/vIXAMDGjRtx/fXXo7q6Oib3aKyvJxEzZszAP//5TwwMDODjjz/Ghg0bMH36dOzYsQPnnHNOys+MXtv69etx1113sdB9+oPN5LXR+28ymZJuYzAYMn6+oY45+DcT/dtJVQBhPO8hkPlvQSbaks49ngiGM0ATJStpNBoTLieEsHXR900mk2HDhg3o7u7GwYMH8cwzz+AHP/gBzGYz1q9fj0cffTSt86dl+FavXo2cnBwYDAb885//TOtEI6W6uhoCgQA+ny/peDHNF6qtrR32eHT45+DBgxlXN6Af3fnz50MqlcatH+uk0n//+9/Q6/UQi8U455xz2HJ6zdHDI6lArydRLmYgEMDBgwcT7pfO/NBIkUqlWLZsGR544AHs27cPixcvhtPpxGuvvZbS/kNdG5DZZ0XfYa/Xm9QwJ7uXI4H+DpLptzocDmaU6LYKhYLNWe7YsSOl84z0Ho70/cj0t2A00OMfPHgwqVEZr7YMBfVwkxmascohHY5k7/vhw4fh8/kgEAiSeq/Tp0/Htddei//85z9sGubZZ59N6/xpGb68vDw2qXzrrbcO27v+4osv2KT+SMnJyWE/rCeffDJuvcfjwXPPPQcAWLly5bDHq6mpwaxZs2CxWPDyyy+Pqm2Dod4Q7elFEwgE8Pjjj2f0fNF0dHRg3bp1ACLBN3RYGgC+973vQSKRYPPmzXEJyEMx1PW88MILSX9MdL9kQ8WZRigUsqCSoeZWoxnq2j744IOMGr6cnBwsWrQIAPCnP/0pbn1/fz/+9a9/Zex89Hfwj3/8I6EwwTPPPAOfz4eKigpMmzaNLadBDBs3bkzpPCO9hyN9PzL9LRgNp59+OrKystDV1cWCgqLZvXs3tm/fDo7jcPbZZ49pW4aCzoXu2bMnbpQuHA7jhRdemIhm4Y033kj43lBDtnjx4pSCKOl8dKq/e0raoT8bNmzAokWL0N/fj0WLFuGVV15hwSCUpqYm3HjjjVi2bFlGhnB+9atfAYjclL/+9a9sucPhwNq1a2E0GlFZWYlLLrkkpeP97ne/A8dxuPHGG/Hcc8/FvRBtbW14+OGH0/4Y0YnWL774Isao2mw2XHrppQkf9GgxmUx44oknsGDBAvT19WHmzJlxbn9xcTFuvfVWBAIBpgofDSEEu3btwvXXXx/Tk6aBMPfee2+MkXvvvfewfv36pGry9MeW6SHxe+65B88//zwGBgZilu/btw9///vfAQDz5s1L6Vj02v77v/87Zs76q6++ws9+9rOUlPLT4Y477gAAbNq0KUac2WQy4dJLL83o6MOZZ56JhQsXwufzYc2aNTG/wQ8++IAp69x1110x3tf69euhVCqxZcsWXH311bBarWxdOBzG5s2b8fbbb7NlI72H9P346quv4tRNhiPT34KRolAoWITuunXrYtSeWltbccUVVwAALr744ozPu6XDnDlzUFxcjL6+PjzwwAPMO/V6vbj11lsnrKpLKBTCpZdeGjP8/+abb7IOzfr169nyDz/8EOvXr49rq9PpxO9//3sAqf/uGSPJgXA4HCxRGkdymmbNmkUWLlxISkpK2PLS0lLS0NDA9hsuv2uonJNotYaysjKyYMECloibn59Pdu3aFbfPUPkyTz31FEs2zs3NJfPnzycLFiwghYWF7Dx//OMfY/ahy4fijjvuYNuVl5eT+fPnE7lcTsRiMfnjH/+YMO9qOGgOUk1NDVN6WLBgQYxKAgBy0UUXxSV2UwKBAMurAkB0Oh05+eSTyZw5c0hubi5bHp143dHRQQoKCtgzjlYoWb58OUv8HZxrZbPZSH5+PgEiijCLFy8mS5cuJb/97W/jrokq3gwm0bP70Y9+RAAQgUBAqqurycknn0yqq6tZ25cvX56yopDNZmNKJhKJhNTX15Np06YRAGTmzJksn2jwuzqad/jaa69lba2qqiLz588nMplszJRbSktLWc7UvHnzYu7V5ZdfnjBXb8uWLex9EIvFZM6cOaS+vp791qKve6T3MBQKMfUWlUpFFi1aRJYuXRqTm5eqckuq34KRvG/D4Xa7yfLly1lbZs6cSebMmcO+K3PmzIlRbhnNuSj0XOns+8orr7D9NBoNWbBgAVEoFCQnJ4eJQgyl3JKI4fIDk/1O6HP99a9/TZRKJZHJZGT+/Pkx37IbbrghZp8333wzrv3RqlNKpTJGQCAVRpTskZOTg3/+85/49NNPcfXVV6OsrAzt7e347rvvQAjB9773PTz//PNoamrCrFmzRnKKOH7729/i//7v/3D22WfD6XRi7969UKvV+MUvfoHvvvuODXWlyo033og9e/bg5z//OTQaDfbv34/m5mao1WqsWbMG//jHP4bN10vEI488gscffxzTp0+HXq9HR0cHVqxYgc8++wyrVq1K+3jRNDc3syjMQ4cOIRgMYsWKFbjnnntw4MAB/P3vf0dBQUHCfUUiEV555RW88847bEjr22+/RV9fH2pra7Fu3Tps27YtZj6ivLwc27dvxwUXXACJRIJDhw5BJpPhwQcfxHvvvZc0jFihUOCDDz7AueeeC5/Ph+3bt+OTTz5hqvQj5d5778Vdd92FhQsXwul0Ys+ePfB4PFi6dClefvllfPDBBymHNisUCnz++edYu3YtFAoFGhsb4ff7cdttt2H79u1jEpDwpz/9Cc888wxmz56N3t5edHZ24oc//CG++uor1NTUZPRc1dXV+Pbbb3HHHXegvLwc+/fvh8FgwJIlS/DKK68wnczBrFixAvv27cO6detQUVGBQ4cOoaurC1OnTsX69etx+eWXs21Heg8FAgHeeecdXHjhhRAKhdi1axc++eQT7NmzJ6Vry/S3YKTI5XK8//772LRpExYsWICOjg40NTVh5syZ+M1vfoMvv/wSKpVqXNoyFJdddhn+/ve/Y/78+XA4HGhra8NZZ52FnTt3Yv78+RPSptraWuzatQs/+MEP0NnZib6+PsyZMwd//vOf8dRTT8Vse8YZZ+CJJ57AD37wA+Tk5ODAgQNob29HdXU17rzzThw6dChtj48jJMX4XR4eHh4enlFw5ZVX4qWXXsILL7yQEWHukZKZ9H4eHh4eHp5jBN7w8fDw8PCcUPCGj4eHh4fnhII3fDw8PDw8JxR8cAsPDw8PzwkF7/Hx8PDw8JxQ8IaPh4eHh+eEgjd8PDw8PDwnFLzhG2eWLVsGjuPi9DKPB463a5ts11NZWQmO49Iul8WTOhzHjUt1EZ6JhTd8JwB/+9vfcO6556KwsBASiQQqlQozZ87ERRddhP/5n/9BX1/fRDcx41AjQf8IBAIoFAqUlZXh7LPPxr333jtuAr2PP/44NmzYECeuPVHs2bMHGzZsiBHLzhQbNmwAx3FYtmxZxo/Nw5Mp0q/ZzjMqysvLMW3atKSVizNJIBDAxRdfzD5wSqUSM2bMgFAoRFtbGw4ePIh//vOfIISwkkbHGzU1Nazas9frhclkwtatW7F161Y8/PDD+PGPf4xnnnkmoaZipp7V448/jo6ODlx55ZXIy8sb8XGmTp0KmUwGsVg8qvbs2bMHDz74IK644gqm28rDcyLBG75xJtM1AIfiD3/4A/79739DLpfjueeew09+8hNWDZ4Qgq+//hqvvPIKFArFuLVpvLn77rvjNAFNJhP+8pe/4De/+Q3eeOMN7N+/Hzt27IBSqYzZbjyfVSp8+OGHE90EHp7jAn6o8zjmpZdeAhCpY/fTn/6UGT0gMpexYMECbNq0aURVKI5l1Go1brnlFuzevRtFRUU4dOgQbr311oluFg8PzzjBG75xJlnAxJVXXgmO4/Diiy+it7cXP/vZz1BUVASZTIa6ujr8z//8T9rnokVl586dO6K2fvnll7jgggvY3GBpaSnWrl2LgwcPDrvvoUOHcNFFF0GtVkMul2P+/PmsWGwiAoEAnnzySZx88slQKBTIzs7GnDlz8PDDD6ddrDRVKioqWMXnV199FV1dXTHrkz2rYDCITZs24eSTT0Zubi6kUimKi4tx2mmn4YEHHmBzeS+++CI4jkNHRwcAoKqqKmbekR5327ZtbF4sGAzikUceQX19PbKyslBZWcnOO1xwy5YtW3DBBReguLiYtWn58uX4n//5H/h8PnaMq666CgBYaSL6Z6Lm5dJ99u3t7eA4jt2bV199FQsWLEBWVhYKCgpw0UUXxRRUHszevXvxox/9CPn5+cjJycEpp5yC119/fdh2ms1m3HnnnZg2bRrkcjny8/OxbNky/OUvf0EiHRD6/K+88kr4fD5s2LAB1dXVkMlkKCsrw2233QaXy5X6jeLJHGlV7+MZNcmKUNICjRs2bCA6nY7IZDIyb948UlxczIow/uY3v0nrXCqVigAg999/f9rtfPrppwnHcQQA0Wq1ZMGCBSQvL48AIDKZjLz99ttJr+0Pf/gDycnJYQV+NRoNu4ZXXnklbj+3203OPPNMts2MGTPI7NmziUAgIADI3LlzExb0HApaeDRRIdNoQqEQu8fPPfdcwusZ/KyiizBPnTqVLFy4kJSVlbECpN9++y0hhJDNmzeTxYsXE6lUSgCQBQsWsELCixcvJt988w0h5GjRzyVLlpDvfe977Ljz588ndXV1cdeUqJjqjTfeyNqkUqnIggULSEVFBbuHdJ8LL7yQFYHVarUx7Vm3bl1a9zgRtABpsgKmgxnJs48uwEuL0lZUVJA5c+awe11UVESMRmPc+T755BMil8sJAKJQKMiCBQuITqcjAMgjjzyStNh0c3MzKSsrY0V3582bx4rwAiBr166NK+xLi7X+9Kc/JUuWLCEcx5G6ujoybdo0dn1nn3126jeXJ2Pwhm+cGc7wicVicuGFFxKr1crWPf3008zgRC8fDlohXSwWk7vuuos0NDQkrLo9mG+//ZaIRCL2MQiFQoQQQrxeL7nhhhtY1ePe3t6E1yYWi8m6deuIx+MhhBASDofJr371KwKAFBcXk2AwGLPf7bffztZFV1Jubm4m06dPJwDIxRdfnPJ1E5K64SPkqCG77rrrEl5P9LPavXs3q/x94MCBmO1tNht59tlnSWdnZ8K2JKv+TQ2fUCgkWq2WfPnll2wdvYdDHefxxx8nAEhWVhZ55ZVX2PMihBCz2Uw2btxIDAYDWzZc9ezRkK7hG8mzp4ZPJBIRhUJBNm/ezNb19fWR2bNnEwDkV7/6Vcx+TqeTVaVfu3YtcblchJBI52fjxo1ELBYnNHzhcJgsWLCAXZder2fr3n33XVb9/emnn47Zj95nsVhMZs6cSRobG9m67du3E4VCQQCQd999N6V7xZM5eMM3zgxn+HQ6HXE6nXH7zZs3jwAg//rXv1I+V3d3N6mqqmI/ZmqwzjzzTLJhwwZy6NChhPtRg/mjH/0obl04HCZ1dXUEALnvvvsSXtucOXNiPr6EEOL3+1nPmno6hESMRVZWFgFA3nzzzbjz7dq1iwAgHMeRlpaWlK89HcN36623EgDk/PPPT3g90c/qtddeIwDIL3/5y7TbMpzhA0DeeOONtI7jdruZZ//yyy+n1J7JYvhG+uyp4QNANm7cGLfff/7zHwKAzJ49O2b5c889RwCQkpIS4vf74/b74Q9/mNDwbdmyhQAgUqmU9PX1xe1HPcWKioqYjiW9zxzHka+++ipuv9tuu40AIDfffHP8zeEZU/g5vknGmjVrkJ2dHbd84cKFADDk3MVgSkpK8O233+KBBx5g8yE2mw0fffQRNmzYgBkzZuCaa65h8z+UDz74AABw0003xR2T4zjcfPPNMdsN5mc/+xkEgthXSywWY86cOXHX8Pnnn8PtdqO8vBw/+tGP4o61cOFCLFq0CIQQbNmyJcUrTw96vx0Ox7DblpWVAYhEWFosloy2Q6lUJrwHQ/HFF1/AbDajuLgYl156aUbbM9Zk4tlfffXVCfcD4n8r77//PtsnUUrIDTfckPAc9D2/6KKLoNPp4tb/4he/gFQqRUdHBxobG+PWz507FwsWLEi5nTxjD2/4JhlTp05NuJzmojmdzrSOp1QqsWHDBhw+fBhtbW14/fXXcd1110Gn04EQgueeew7XX389235gYABGoxEAMHPmzITHrKurAwA0NTWN+hroMaZPn55UMWO4840W2p5U0joWLVqEU045BXv37kVZWRnOO+88PProo/j6668TBjikQ01NTUzkbSrQQKOTTz45rrMx2Rnts1er1XEpKEDy3wo9xowZMxKeK9lyul+y30Nubi7rECVqZ6Z/0zyj59j6pZwAJPL2ALCP2mg+rlVVVfjJT36CP/3pT2htbcWaNWsARKLPaERj9I+Q/jAHU1hYCCC5h5TONdDzJTtXKucbLZ2dncO2gSIQCPDuu+/illtugVwux1tvvYXbb78dCxYsQFVVFV588cURtyPZfRsKu90OAKNKjJ8oRvvsh3vPkp1Po9EMea7xbudoO0w86cMbvhOUrKwsPPPMMxAIBCCEYPfu3QCAnJwcto3BYEi4b39/P4BIT3e00PMlO1emzzeYcDiM7du3A4h4TamQn5+Pxx9/HEajEd9++y02bdqE5cuXo6OjA1dddRX++c9/ZrydyaD3ZLLIoaXDeD97ej46ojGYZO2Y6HeUJ/Pwhu8EJjc3l/V+/X4/gIjnQJcl07Lcv38/AKC2tnbUbaDHOHjwYNKebybPN5h///vf0Ov1EIvFOOecc9Lal+M4zJ07FzfffDM++ugj3HXXXQCAZ599Nm67sYIOBX711VcIh8Mp7TNZRJjH+9nTYxw6dCjh+mT5qXS/ZL8Hh8PBRkzG4h3lyTy84TuOGaqHCgAtLS1sm5qaGrZ85cqVAIAnn3wybh9CCFtOtxsNp59+OrKystDV1YW33norbv3u3buxfft2cByHs88+e9Tni6ajo4NplK5duxYlJSWjOt6pp54KAOjt7Y1ZLpfLAQAej2dUx0/E4sWLoVar0dPTg9deey2lfcayPekw3s+edmyef/55BAKBuPVUzGAw9D3/xz/+Ab1eH7f+mWeegc/nQ0VFBaZNmzbqdvKMPbzhO46ZM2cOrr/+euzcuTPOG/j0009x/vnngxCCOXPm4KSTTmLrbr/9dohEIrz11lvYuHEj29fv9+OWW27Bvn37oFQqY4JiRopCoWDHWbduHb799lu2rrW1FVdccQUA4OKLL04aJJAuJpMJTzzxBBYsWIC+vj7MnDkTjz76aEr7/uUvf8FDDz0Up55iNpvxxBNPAADmzZsXs27KlCkAgE8++WT0jR+ETCbDfffdBwC47rrr8Nprr8V4T1arFY899ljM8B5tz1dffZVUFYeqo4xlGaTxfvZr1qxBSUkJuru7cd111zHDTwjBpk2bsHnz5oT7nXnmmVi4cCF8Ph/WrFkT06H84IMP8OCDDwIA7rrrrox505WVlaisrMSOHTsycjyeQUxEDsWJzHB5fMnyzmh+1AMPPJDyuajSCgCSm5tLZs+eTebNmxejpFJaWkoOHjwYt2+0ckthYSFZuHAhO55UKh1SuWXwtQ13jW63myxfvpy1aebMmWTOnDlMCWXOnDkjVm6pqalhyiQLFiwglZWVMXmNF110ETGbzQmPkeh6HnvsMbZvSUkJWbhwIZk1axaRSCRsWUdHR8xxXn75ZbbPrFmzyNKlS8nSpUuZwgvN4xsu9y1ZPmA4HCbXX389O4darSYLFy4klZWV7B5G7xMKhZh6i0qlIosWLSJLly4lt9xyC9smOlcuWf5hIuh7KhKJiEqlSvrnnnvuIYSM7NlHK7ckgx5vMB999BFTd1EoFGThwoUpK7fQ5HepVErmzZtHqqur2faXX355UuWWZPmSQz13etxkvyWe0cFXZziOaWhowObNm/H++++jsbERnZ2dcDqdUCqVOOOMM/CDH/wAv/jFLxJOyF9//fWYPXs2/vCHP+CLL77Anj17oNFo8P3vfx+//vWvk4Z2jwS5XI73338ff/zjH/HKK6/g4MGDCIfDmDlzJn7yk5/gl7/85YhLAzU3N6O5uRlAJEghLy8PK1aswCmnnIJLL700aQh7Mn784x/D7/dj69ataGxsRENDA7KzszFr1ixccMEFuPHGG+MiLC+//HJYrVY8//zzaG5uxr59+wBkLiCF4zg8/fTT+P73v48//vGP2LlzJ7777jtoNBosXboUF154IYqLi9n2AoEA77zzDu6++258+umn2LVrF0KhUMwx6ZCeVqtFUVFR2m0KBoMwm81J19NIybF89olYvnw5duzYgfvvvx+ffvopDhw4gJkzZ+Kxxx7DJZdcgjvvvDPhftXV1fj222/xu9/9Dm+99Rb2798PqVSKJUuW4JprrsGll146aeZOeYaHI4SPpeXh4Ynl0Ucfxe23344HH3wQ999//0Q3h4cno/BzfDw8PHF88cUXkMvlSdVMeHiOZXjDx8PDE8f27dtx+eWXQ61WT3RTeHgyDj/UycPDw8NzQsF7fDw8PDw8JxS84ePh4eHhOaHgDR8PDw8PzwkFb/h4eHh4eE4oeMPHw8PDw3NCwRs+Hh4eHp4TCt7w8fDw8PCcUPCGj4eHh4fnhII3fDw8PDw8JxR8dQYeHp4TilAolLAQLc/YIpFIIBBMDl+LN3w8PDwnBIQQ6PX6jJWD4kkPgUCAqqoqSCSSiW4Kr9XJw8NzYtDX14eBgQFotVpkZWXx9fPGkXA4jN7eXojFYpSXl0/4vec9Ph4enuOeUCjEjJ5KpZro5pyQaDQa9Pb2IhgMQiwWT2hbJseAKw8PD88YQuf0MlnNnSc96BBnKBSa4Jbwho+Hh+cEYqKH2E5kJtO95w0fDw8PD88JBW/4eHh4eI4xli1bhltvvXVMz7Ft2zZwHHdcRsHyho+Hh4fnBGc8DOlkgjd8PDw8PDwnFLzh4+HhmRSEQiE4nU4YjUZ0dXWhqakJLS0tcLlcE920GJqamvDuu++iubl5XM7ncrmwdu1a5OTkoKioCBs3boxZ7/f7ceedd6KkpATZ2dk45ZRTsG3bNrbebDZjzZo1KC0tRVZWFurr6/Haa6+x9VdeeSU++eQTbNq0CRzHgeM4tLe3s/Vff/01FixYgKysLJx22mlobGxk67777jssX74cubm5UCgUmD9/Pnbv3j1m9yJT8IaPh4dnXAmHwwgGg+z/fr8fe/fuxZ49e9DY2IjOzk4YDAY4HA7YbDYYDIYJbO1RLBYLvrdqFaZNm4bVq1ejtrYW31u1ClardUzPu379enz88cd488038cEHH2Dbtm34+uuv2fqrrroKX3zxBV5//XXs3bsXF110EVatWsUMs9frxfz58/H2229j3759uPbaa3H55Zdj586dAIBNmzZh0aJFuOaaa9DX14e+vj6UlZWx499zzz3YuHEjdu/eDZFIhJ/97Gds3aWXXorS0lJ89dVX+Prrr3HXXXdNeI5eShAeHh6eMSAcDhO3203MZjPp7u4mLS0tpKGhgezevZscPnw4Zruvv/6a7N69m+zdu5c0NzeTrq4uYjKZSHt7O+nt7SWHDh0iTqdzxG3xeDzkwIEDxOPxjPgYq1euJAVCIXkVIJ0AeRUgBUIhWb1y5YiPORwOh4NIJBLy+uuvs2Vms5nI5XJyyy23kJaWFsJxHOnp6YnZ76yzziK//vWvk1/L6tXk9ttvZ/9funQpueWWW2K2+fjjjwkAsnXrVrbsnXfeIQDYfczNzSUvvvhiSteSiWeQKXjlFh4enlFBCIHP50M4HGYJ4oQQfPvttyBJFBGjRaI5jsP06dMhlUohFApjtlOpVDh8+DCcTiesViuys7PH7kKGoKmpCZvffx+vArj0yLJLAZBQCJe//z6am5tRU1OT8fO2trbC7/dj0aJFbFlBQQGmTZsGAPjmm29ACEFtbW3Mfj6fjynUhEIh/Pd//zf+9re/oaenBz6fDz6fL+V7OXv2bPbvoqIiAIDBYEB5eTluu+02/PznP8crr7yCFStW4KKLLsLUqVNHdc3jAW/4eHh4Usbv98Pj8bA/Xq8XHo8HhBDk5OSwDzLHcZBIJAgGg5DL5ZDL5ZDJZOzfIlHsp2coRZW8vDxYLBYMDAygtLR0TK8vGa2trQCAJYOWLz3yd0tLy5gYvmQdB0o4HIZQKMTXX38d12nIyckBAGzcuBGPPfYYHn/8cdTX1yM7Oxu33nor/H5/Sm2IHrqkSejhcBgAsGHDBvz0pz/FO++8g3fffRcPPPAAXn/9dZx//vkpX+NEwBs+Hh6eOAKBADweD0KhEPLz89nyxsbGhB9MgUAQV3JmxowZcR/jkaBUKiEQCODz+eB2uydEdox6MZ/iqMcHAJ8c+bu6unpMzltdXQ2xWIwdO3agvLwcAGC1WtHU1ISlS5fipJNOQigUgsFgwBlnnJHwGJ999hl+9KMf4bLLLgMQMVrNzc2YMWMG20YikYxYSqy2tha1tbX45S9/iTVr1uCFF17gDR8PD8/kxuVywe12x3hxNPhELBbHGL6srCwIhcI4L04qlcYdNxNGD4gYVYVCgYGBAQwMDCQ0fE1NTWhtbUV1dfWYeF61tbVYvXIlbt66FSQUwlJEjN4tQiFWr1gxJucEIl7b1VdfjfXr10OlUqGwsBD33HMP62TU1tbi0ksvxdq1a7Fx40acdNJJMJlM+Oijj1BfX4/Vq1ejuroab7zxBr788kvk5+fj0UcfhV6vjzF8lZWV2LlzJ9rb25GTk4OCgoJh2+bxeLB+/XpceOGFqKqqQnd3N7766iv8+Mc/HpN7kUl4w8fDc4Lg8/ngcDgQCATYXA0A9PT0wOFwxG1PjRohhA1xTdT8TX5+PgYGBmC1WlFcXMyWWywWXP7Tn2Lz+++zZatXrsSrr70WY7AzwauvvYbL1qzB5dHnWrECr0alBowFv//97+F0OvHDH/4Qubm5uP3222Gz2dj6F154Ab/5zW9w++23o6enByqVCosWLcLq1asBAPfddx8OHz6MlStXIisrC9deey3OO++8mGPccccduOKKKzBz5kx4PB4cPnx42HYJhUKYzWasXbsW/f39UKvVuOCCC/Dggw9m/iZkGL4eHw/PCUAwGMS+ffvYcNbcuXOZR9bX1weXyxXjxclksklTLRuIBGh89913IISgrq4OMpkMAPC9VauwY+tWPBEKYQkiQ5E3C4U4dcUKvPPee2x/r9eLw4cPo6qqiu07Upqbm9HS0jJm3uXxSiafwWjhPT4enmOIUCgEgUCQttK9wWBAKBSCRCJBXl5eTNBEtPc3WREKhVAqlSCEsLZPVKRlTU0Nb/COcXjDx8MzCQkEAixi0uv1sj+BQAA1NTVQKBQsjUAkEsVFSQ7GbDYDAEpKSlKav5mMDB5mnahIS55jH97w8fBMEIQQlh6QlZXFCnWazeYYyajB+Hw+AJEPv81mQ1lZGXJycuDz+ZCbm5vQCNJhzVRD2I8FJirSkufYhzd8PDzjQDAYhN1uj/HevF4vG7YrLy+HRqMBADb/IZVKY+bc6B9qxORyOWw2G7q6uth5cnNz45KZAaCwsBDt7e0wGAzQarWTav4uXXw+H0Kh0IRFWvIc+/CGj4cnQwSDwRijplAooFAoAByd2B+MQCCICyTJysrCvHnzhp3Hy83NhV6vBwCIRCKEQiE4HA44nU6WvEwpKChAb28vBAIB/H7/hAcXjBSLxYLDhw+zZPmJirTkObbhDR8PTwqEw2EEAoGE+WoulwttbW0JhxGp4ZPJZMjJyYnx3ORyORvejCbVwBWFQoFZs2ZBIBBALBajo6MDbrc74bYcx2HatGkJz3csQQ260+lEIBBAfn4+3nnvPT7SkicteMPHwxNFdM6ax+NBd3c3vF4vM2olJSXQ6XQx+7hcLrZeIpEww0aNHhDxyKicVyaJNsRlZWVDDmEe60YPiFxDdnY2XC4XBgYG2PAwH2nJkw684eM54aDRkIPn27xeL3Q6HTNsHMfBbrfH7KvX66HRaGJUSQoKCtDd3Q1CCCoqKmIM3niS6rxdOByG1WplIsbHGvn5+XGGL9M0NzcnTOpPldzcXN4QT2J4w8dz3BIKheD1eiEUCtmcltfrxYEDB5KK/3q9XvZvqVSKiooK5sE1NTXB4/HAYDDE5L6JRCJotVoEg8GEQ6HjTSgUgtFoREFBQZyXRwjBgQMHWBqEUqmcoFaOnLy8PHR3d8PhcCAYDA6bypEuzc3NCQOE0qWpqYk3fpMU3vDxHPMQQuBwOOK8N1r6Rq1Wo6KiAkBkqIwQwoJKBv+JNlwcx0GtVrP/63Q6HD58GP39/dBqtTFe31hUDbDZbCyPr6ysLGXty8OHD8NmsyEYDMa1i+M45OXlob+/H3q9/pg0fDTa1ePxwGazZdxzZZ7eBQDUQ26aGBOAf2FUHiPP2MIbPp5jgsHDk2KxmH3wqNp8IsRiccwQoEAgwOzZs0dUJZrqRRYUFGRMgDkZwWAQLS0t7P9qtTouUjMZWq0WNpsNRqMROp0uziMqLCyEwWCA0+lMGAF6LJCfnw+Px4OBgYGxG7JVAygediueYxDe8PFMSggh6O3tZYbO5/PFDE/m5uayD55QKEROTg5EIlHSnLdoRmL0gIi3NGXKlCG38Xq96Ovrg0ajGZVBaWtrY/8uLi5GOByG2+2GRCIZdmhPoVAwj8hoNMZJktFOg8lkgl6vPyYTvQsKCiCTyY5Jj5Vn4jl2s1h5jmtcLhf0ej0GBgZYordAIEBWVhZUKlWc8v60adMwdepUlJSUQKVSITs7e8y9skT09/fDYrGgr69vVMeRy+UAIvOHer0ezc3NOHjwIPbu3ZvS/jRAx2AwsKKhidbT4dRjDalUivz8/GM6ET9Vli1bhnXr1mHdunXIy8uDSqXCvffeyzqCHMfh3//+d8w+eXl5ePHFFwEA7e3t4DgOf//733HGGWdALpdj4cKFaGpqwldffYUFCxYgJycHq1atgtFoZMe48sorcd555+HBBx+EVquFQqHAddddF5O2889//hP19fWQy+VQqVRYsWIFXC7XmN+T0cJ7fDwTQjgcHvKjRX+AGo0GeXl5kMvlI/bUMk04HIbBYIDFYsH06dNjrkOn08FsNsNut4+qaGp2djYAsLp4HMdBJpOlrLOZn5+Pnp4e+P1+mM3muOhHajisViv0ej2qqqpG1E6e8eGll17C1VdfjZ07d2L37t249tprUVFRgWuuuSblYzzwwAN4/PHHUV5ejp/97GdYs2YNFAoFNm3ahKysLFx88cW4//778cc//pHt8+GHH0Imk+Hjjz9Ge3s7rrrqKqjVajz88MPo6+vDmjVr8Mgjj+D888+Hw+HAZ599NmzV+MkAb/h4xhyqR0mLnbrdbvh8vpjSOIOpqqqa1B9jvV6PUCgEk8kErVbLlkulUhQUFMBsNqOvr2/E9euoR0uDcKRSaVoVGTiOg06nQ2dnJ/R6PdRqddz+Op0OVqs1oUd4LBAOh9Hf3w+bzYba2trj2vsrKyvDY489xoQIGhoa8Nhjj6Vl+O644w6sXLkSAHDLLbdgzZo1+PDDD7F48WIAwNVXX828RIpEIsH//u//IisrC3V1dfiv//ovrF+/Hg899BD6+voQDAZxwQUXsOCx+vr6zFzwGMMbPp6MET30AoBFDlKvZTAejwcymQx6vR5er3fSzzWFw2EYjUb09/ezunZdXV1Qq9UJvb6BgQF4PB42bJkOHMeNuoqCSqVCX18fcnJyEAqF4uYGs7KyUF9ff8wmtgsEAphMJvj9ftjtduTl5U10k8aMU089NabjsmjRImzcuJG9h6kwe/Zs9u/CwkIAsYaKBj1FM2fOnJhRi0WLFsHpdKKrqwtz5szBWWedhfr6eqxcuRLnnHMOLrzwwowXAB4LeMPHMyJCoVCMB+fxeODxeDB9+nT2QxEIBAgGg2yYTi6XIysrC1lZWZDL5Uxf0mAwsKjNwXlwXq8XHMdNeH6cXq9Hf39/QiNuNBrZhwSIyJPRYcS+vr5hA2LGCoFAwCTNknGsGj0AMYo6NpvtuDZ8Q8FxXNzwIk3liSZ6qoAa0cHLUvX+OY6DUCjEli1b8OWXX+KDDz7Ak08+iXvuuQc7d+6c1KM1AG/4eFIgWsZrYGAAXV1dScvbRM9r5eXlITs7e8hq3jQi0+FwwGazxQwbdnd3s5y5srKyDF9Vevj9/jijl5WVBbfbzdRcoq+xqKgIVqsVVqsVXq93wkShUx3+o8PRkz1KkqrOmEwmOJ1OtjzTSeyTjR07dsT9v6amBkKhEBqNJiaYqrm5Oalma7p89913MaMWO3bsQE5ODssP5TgOixcvxuLFi3H//fejoqICb775Jm677baMnH+sOL7fFp60CIfD8Hq9cZ5ceXk5G3aj6v5AxFuI9uCia8oBkd5kKgEpSqUSDocDdrs9xvDRAI/BsmETgU6nY0nyBQUF0Ol0kMlkaGlpQUFBQdz8mVwuh1qthlQqnRRBOV6vFwMDA3E6o0Cks3Lo0CEIBALU19dPSDRsqhBC0NnZiXA4DI7joFAooFarJ73BHi1dXV247bbbcN111+Gbb77Bk08+iY0bNwIAzjzzTDz11FM49dRTEQ6H8atf/Spj75zf78fVV1+Ne++9Fx0dHXjggQewbt06CAQC7Ny5Ex9++CHOOeccaLVa7Ny5E0ajETNmzMjIuccS3vCdoER7cW63G4cPH47LlaNEh7tnZ2dj2rRpkMvlGftAUm1Lh8MRE+0ZXdLH7/eP67Cc3W6HUChkxlcikWDatGkIhUIxw65DSVLRCf+JJhgMMpm23Nxcdk2UrKwsSKVSeL1emEymmGHbiSQUCsFiscDpdLKhM6FQiMLCQggEAqhUqknRqRgP1q5dC4/Hg5NPPhlCoRA33XQTrr32WgDAxo0bcdVVV2HJkiUoLi7Gpk2b8PXXX2fkvGeddRZqamqwZMkS+Hw+XHLJJdiwYQOAyO/z008/xeOPPw673Y6Kigps3LgR5557bkbOPZZw5FiIPeUZMXTubHBUpUajYYnNfr8fDQ0NACJDRtEeHC2Emk5E4UjYu3cvAoEAampqYkSeGxsb4XQ6UVFRESMfNlbQHDw6tzhz5sxjtnZdNO3t7TCbzcjLy0sYaUqrvovF4mHnBccah8MBk8mEgYEBNuc0Y8aMEaeGAEfrIVZVVQ37PL/55hvMnz8fuBYjU27pBfBn4Ouvv8a8efNG0twYli1bhrlz5+Lxxx8f9bHS4corr8TAwEBcjuBISecZjDW8x3ecEggE0NraCo/Hk3DCOnoOQCKRoLq6GllZWRPWg1YqlTCZTLDZbDGGT6FQwOl0wmazjbnhs9lsMcViCSHQ6/WorKwccj9CCEwmEywWC2pra+M6CQMDA+jv70dVVdWEBZNER5ommnOkhWr9fj8sFsu4dDKiCQaDMJlMMJlM8Pl8bHn0kHEyfD4fhELhcT/Px5M5+DflGCUQCMR4cG63Gzk5OewjLRKJ4Ha7meJJtAdH/45moudIlEolbDZb3PCpQqFAb28vHA5HzPDsWECPLRKJUFVVhZ6enpRCs6m8WjAYhMViidOONBqNcDqd0Ov1KC8vH5O2DweV97LZbOjv748bhuU4DoWFhejq6oJer4dKpRrTe01HIqgBdrlc6OnpARCZRy4oKIBarY4blo3e32KxwGAwwO12o7Ky8pgts8Qz/vCG7xiDRmwlCquPHp7iOA7V1dWQSCRpJz9PBEqlMibPiJKVlQWRSIRgMAiXyzWmgsq0MxAMBpGTk5PyJL1AIEBhYSF6enqg1+vjgl10Oh3sdjtMJhOKioomzKvW6XSw2Wwwm80oLi6Oa4darUZfXx98Ph8GBgbGJB+LEAKz2cwEAOrr6yEQCKBQKJCXlwelUomCgoKkQ61+vx8mkwlGozHmNzAmNRBN47xfErZt25bZA6bI4GT24wne8E0iQqFQ3FycUCiMqQ1Gw+oH58bRv6OZqIKoIyGZYeY4DqWlpWzucSyh4s20dFE6aDQa9Pf3w+v1wmq1xiSf5+bmIicnh3l9E5WakZOTw9rR398fV7JIIBBAq9UOKTowUqjKTX9/P8sxE4lE8Hg8yM7OBsdxQ6rcBINBdHZ2YmBggD0biUQCjUYDtVrNhjnD4TAIIaMKvMrNzY38418jPkTscXgmHbzhmwR0dnbCZrMlzI0b3PMtLy9nhVWPV4mmwYns4zmENXg+jxZ1DYfDKC5OHukgFAqh1WrR29vLvL5oioqK0NzczLy+iZqP0ul0LIglEVqtNq7W4GgIBoMwGAwwGAxMZUQikaCwsDBO8WYohEIhnE4ni0zVarVQKpUxHaa+vj7o9XoUFRUlTNtIlZqaGjQ1NfEV2I9jeMM3CfD7/XG5ccnm4o7nXqTf78fBgwcRDocxZ86cSWHY3W43enp6wHEcNBrNkMOUWq0W/f39rE5ctJKIQqFAdnY2XC4X+vv7UVJSMg6tj0epVLLhxURkOocvEAiw5GqZTAadTpcw7zEan88Ho9EIh8OB6dOng+M4cByHiooKSCSSpBJwYrEY4XA4ab4igJSVSXijlXkmUwIBb/gmmEAgAJ1Oh8LCQibjdaIikUiYbJLT6YwZqnW73bBYLMjJyUlZmmpgYABms5kNl6YaUUk7Ijk5OSzvjRqsoSqtUxUNvV6Pvr6+uHYWFRWhpaUFBoMBhYWFE/asU+1QOBwOiESitLRGvV4vnE4niwqVy+XQ6XTIzs6O89AGY7fbYTAYYLPZYpbRwKvhArDoepfLFZf3KZFIIBAI0NvbC41Gw941nvGBEAKj0QiO4yZF7uWJ+5WdBHR1dcFoNKKqquqYEHYdDxQKBSvrE234aDSi1+tNyfCFw2G0tray/1ut1pQqr3u9Xuzfvx8CgQAnnXQSgKMGK1lF82gKCwvh8/kSJoErlUqoVCoolcpJ0cGhBiaRQenr60Nvb2/SvL/BRNdPpIoq1PAM5d2GQiGYzWYYjUZ4vV62XKFQsBpwqSIWi9kcps1miynFJBAIUFVVxa6LZ/yhHdDJoAw08b++ExihUAhCCAwGA2/4jqBUKmE2m2Gz2WK8q7y8PPT29sJutw9byw+IfOhoNCjF4XAMW/GARsCGw2E216hUKpku53DDlCKRaEhR6uFyAscLmrAulUqhUCjivJ/8/Hz09vYmzfuj2O126PX6mPkwpVKZ8rCW1+tFV1cXgMjvQaVSQaPRjDjBOS8vD06nEwMDA3E1CCUSCcrLyxEMBtOqasCTGcRi8aQwegBv+CYUOizmdDpHVbT0eCKZTJlcLodUKoXP54PNZkupo6BQKGCxWNj/7Xb7sIaP4zjI5XKWG0mDbIqKitDa2sq8vsnyAx4p+fn56OrqSpq6IJPJkJeXh4GBgYRJ/FSFgwoh0DJKVMM0EYQQ2O12+P1+ZpSys7NRUFCAnJwcFBQUDHtf6RyeWCxOON+dl5eH7u5uOBwOhEKhuOPRobbJMNzGM3FMfPTACYxYLGYfnMF1sE5UaLUGADFzPQDYEOfAwEBKxxo8TJZqlB7tgERrlObl5UEikbAySsMRCATQ1dWFlpaWuHWEEPT392P//v0T5nnQ1AUgUnIpETRAhCaKR98PsVgMr9fLjjNr1ixUVlYmNHqhUIhdb0tLC7q7u2Ouu6qqChqNZkijFwwG0dPTg4aGBhw+fBjNzc0JS+9IpVLI5XIQQuLeHx4eCm/4Jhj68bFYLBnPnTpWoQZrcFUGavhsNltKQ2mDPQK/3x8zj5QMGsxhMpli5oPoEGeqai5GoxE2my2mfA6FzmmZTBnOdk4DrVYLgUAAt9udsFOQnZ0NhUIBQgi6urrQ3t7O1gmFQkydOhX19fUoKytLGDjk8XjQ0dGBvXv3oru7m0mLaTSatCL8TCYTGhoaYuohFhcXJzWUhYWFKC0tHVOxA55jG36oc4LJzs5mUYMmk2lU+UfHC3l5eQiHw3FBLNnZ2WzezuFwDBv4IJFIIJPJmPYjHWobbv6IymQFAgHY7XaWv1dQUBAjszXcuVUqFUwmE/R6fUx1eY7jUFRUhPb29oS1/MYLkUgEtVoNg8EAvV6fcOhwypQpLLXA6XTC6XQygzLU/TeZTOjo6GD/l8vl0Gq1Q6qyJKOnpwfhcBgSiQRlZWXDRofy0mU8w8EbvkmARqOBy+WC2WzmDR8iH8lEASQcxyEvLw82my1l73jq1KmQSCQwGAwwmUxwOBwxNf8SkZ2djfLycoRCobh5V1rRIhWoMLTNZoubw40WhTaZTMO2aawoLCyE0WiE3W5POM8sFAqh0+mGfS+DwSCCwSDrFCgUCggEAiiVSmi12pS9L7vdDqvVGqPTmZeXB5PJBLlcfsJWWefJLHxZokkAHRYrKCiYFGHuk5lQKASBQJB2DlY4HIbFYoHX6x0yFy/TDFUOyGg0orOzE2KxGPX19ROWV3b48GFWcDjd4UG32w2DwQCLxRKnVpIouCQRhBAWREODZaRSKerq6sBxHHw+H/bt2wfgaHkiKggOIGGnIRQKYWBgAKFQaMI6FTyTF/4rOwngOI7/cQ4iHA7D4XDA7XbHeFkjjaakhUuTGRdCCMLhcMajNaPLAXk8nphkcCoKHQgEYDKZ4sLvxwsqg5cqhBBYrVYYDAa4XC62PBQKxaSapHLMcDiMgwcPsrlXum90tKlUKkVBQQEsFgv0ej2mTJkCl8uFrq4uiEQiaDSauOfqdrvR3t6edD3PiQ0f3DIJ4Z3wyAexpaWFDQcmItnyZCT7+IXDYRw6dAgNDQ0xteAygUwmY8Ewg6MnOY5jQ4h6vX7CnnsgEEBHRweMRuOw29JAk8OHD8PlcrE0hunTp2P69Olpz9/RklkikQhFRUWor69nyf/RUaT0PlmtVvh8PigUCjbfOzgICogIctP1iYKLeE5seI9vEuF0OtHd3Q25XB5XL+1EQyQSsaAfu90eUxjV5XKhtbUVQqEQdXV1oz6XQCBAOBxmqQqZrp5QVFTEhJkHo1ar4fF4oNVqx90riVZbASIBOWq1ekiv2GKxIBAIQCwWs8oIo82JKysrg1AoZEZTq9VCpVLFCJXL5XIolUrY7XY4nU6oVCoUFBTAYDDAbDbHqc9wHMfEEAYGBsZF4zYUCsHv96cl8cYzMfCGb5Lhcrng8XhQUlIy5vN9dN7LZDJBIBCgurp6UghDU5RKJVwuV1z1dZlMhmAwiEAgMKSqSDqUlZWx6glDhcqPBLlcnnReUSAQjHsnJ5HaSl5eHnQ63ZDGl0bTApHcu1SMCY2MjY60pIaTIhaLY8QKRCJRwne/tLQUAoGAbadSqWAwGNhc3uBnlpeXxwzfWJaC8ng8bJ4zHA6jqqpqWKEEnoll8nzleJCTk4OsrCyEw+Exze+iMlF79+5FR0cHXC4XHA5Hyonh4wUNl6fV1ylCoZB9dEfTZqvVyhKpFQoFZDLZmN97YOih7LEe7uzu7kZzczMcDgc4joNKpUJdXR2mTp2atNo5RSwWsw5If39/Suc7ePAg2tvb4fV6EQ6H0djYiIaGhpjk87a2NjQ0NLDAlmh8Ph8bfpbJZDH5grR6CfVEB0MjS/1+f8JjZwK73Y4DBw7AZDKxyg+8GMXkhzd8kwwa5GI0GjP+EfT7/WhqasL+/ftZfTSpVIrc3FxMmTJl0vVSad5eKBSKCaIA0ldxGYzH40FbWxsaGxuZ8aNDkQaDYUwMkNvtRnNzMzo7O+PWBYNBdHR04ODBgxk9Zzgcjkn9yM/PZxXjh1JbSQada7PZbDFzcMNhsVjYaAKtwk6hXubgOVCDwYB9+/YlFJX2eDwIBoPMk0xk+Ghld2B0HaRo/H5/zJxhbm4uJBIJ8vPzMXXqVHAcB5fLNWaGlicz8IZvkpGfnw+RSAS/358RyaXo+mNUZgqIGI6amhrMmjULtbW1k1Ykm364ksmXuVyuhNJVw0E/hNHCuTSdJFP3fjDhcBh2ux1mszkuMIfjOFitVng8Hlit1lGfKxQKQa/Xo6GhIcZwZGdnY/bs2QnLNDkcDhiNxiHvp1QqTUtmjxomagjo/6MN3+DAFSBiHGmHhM4rUnp6enDgwAEYDAaWEC8SiRJ2Vuh7MpJ3JBqHw4HW1lbs27cPhw8fZufiOA51dXWYMmUK8vLy2PlSCRTimTj4Ob5JhkAggFqthl6vh8FgGHHCrt1uh9FohMfjYflQHMehqqoKUqk0aW26VCofjCdKpRIWiyXOuxCLxSz4JZES/3DQSMDo+xt972nuXSah9f0cDgf6+/tj5p1oBXdaRXykHZFAIID+/n5WNR44OlRMPavBc2Eulws9PT1s/k4mkw0ZsFJUVITc3FyYzWa8++67qK6uTlq4VaVSQa/Xw2azoa+vj3U4vF4vq34hl8uhUChgt9vR19eHrKws9Pf3s87B4Pk+mmRvMBig0+kwe/bspHOy+fn5UCgUIwrASVYySSqVIhgMsmNG/16oDFz0nDTP5IM3fJMQjUaD/v5+OByOuNyvoQgGg+yHGh2W73K5WGLyUAEJvb29MBgMqK6unjQ6h0qlEnV1dQmH4/Ly8kZk+KKHTgfLbmm1WshksjEb9tXpdHA4HEyeLvqDTCu4u91u2Gy2YQuvRuP1etHf3w+z2cy8EVoENj8/P2HQitfrRU9PDzNGHMchKytr2Gfv8Xhw5eWXY/P777Nlq1euxKuvvZawygPtoFDPk6ZARHe+CgsLmTdMvUGRSAStVguNRhNj/PLy8lilDqPRCI1GkzRZXiAQjKgjZzab0dnZyToPNA9Uo9EM+XvMycmZNL8dnuTwhm8SIpFIUFRUBLlcntL8i9frhV6vh8ViYR+9dGubEULgcrmYkv5k+fEKhcIhe/PBYDBt7ygYDDIPaLA3IRaLx1TrUaFQJK3oTj/0tIJ7OobPbDazoJycnBzodLqk+4dCIXR3d8cE8ahUKhQXF6dUpf7yn/4UO7ZuxasAlgDYBuDWrVtx2Zo1eOe99+K2Ly8vZwovKpUKKpUq7r4rFAoUFRXBarWCEILCwkKoVKqERovmP3Z0dECv10Ov10OlUg2ryDOUksxgAQMa6CSTyZjG6LFeiornKLxk2XGAy+XCoUOHAESGgTQaTcpiwMFgECaTCSaTiXmJWVlZmDFjxpi2eaLZt28ffD7fkKHnhBAQQjI+9Guz2dDS0gKBQID6+voYIxAMBtHQ0IBwOIyampqkQtB2ux1CoTBGULuzsxOFhYXDdloIITh48CA8Hg/y8vJQUlIS1zmyWCzo7e1FVVUVenp60NraiurqahBCMG3aNLwK4AcAugDkAfgYwOUAmpqakg57pkKqknSEkJjo0KHeWUIImpub4XQ6UV9fH+NlU61Uk8mEvLw8lJeXs3Uul2vYSNdkuN1u5o3ydTYnH7zHd4zh9XphNBrBcRzr4WZnZ6OoqAhKpTKtH6rFYkF7e3ucl5go0XoioRGPbrcbs2bNykiid35+PkveHmz4CCFoaWmB2+2GRqNh1RkyRXRF98EVOaIrJvT398cYvsGalrm5uaitrQUQ8VQHa4FSwuEw+whTo1JeXg6O45K+L3a7HQaDAeuuvx6ffP45W75w3jwAEU8vDMALwAjg9CPrW1paRmX4EnlVPp8PBoMBwWAQVVVVACJeX2VlJUwmE/Lz84ecj+U4DqFQiNXoU6vVzOMeGBhg77/dbo+ZCx2p0QPAEusBnPBiFJMR3vBNYqiSiN1uh1arZeVhgMicQ1FREftQpPJxpqHtdDgrOzsbhBBkZWVBq9WyUPfJhlAoZBW1o+crKXa7nSUpp2oU1Wo1UwOhhEIhmEwm9Pf3M08i04Vi6Ye1pKQEfr8/4bAqrfBOU1vC4TDMZjP6+/uZV06lvqI/1InOZTKZmB4oIYQZ2eG8wqKiIly2Zg0adu3C8wDOBvApgJu/+w6CI/++FIAMEeP39pH9ossvjRan08mME0Wr1UIkEkEqlUKhUAxbmoqSl5cHt9vNOjqNjY3M4OXk5ECr1SIvLy/uXkbP8aWDWq2G2WyGxWJBaWkpP0w6yeAN3ySG4zjW043OHcrLyxu2YnU01Es0m81QKBSYMmUKgKMK+JlQPhlLOI6DQqGA1WqF3W6P+2i3t7cjEAhAoVCkHIkplUpjJLEMBgN6e3uZoROLxdDpdBmLzqNei8ViwcyZM4f8YIvFYtaRMZvN6OnpYYY4WcDHYOhQJTWUUqk0refc0dGBL3bswEMAlgIoQ8TQkVAIlwO4USAACYcxG8BmAH8QCHDuihWj8vaAowLYNMiHolAoIJFI0NTUhJycnLTPk5+fj97eXtjtdoTDYYhEIgQCAZSWliYc4XA6nTAajbBarRCJRKirq0vLeOXk5EAul8Pj8cBsNvMi9JMM3vBNYgQCAbRaLXp7e5lqhlqtTikAgQ6LRXuJQCQiL9pLmOxGj6JUKmG1WmGz2eK8WxoyP9L0j1AohK6uLgAR77K0tHTISg7pkMhrsVgsaQ0nBwIBpvWpVquH9D7sdju6u7tZ+odYLEZRUdGQGpyJaG1tBQCcBGAAgAeAHBEjCAA1c+fi8m++YdsvPvlkbHrqqZSPn4xDhw4xlReBQICCggIUFhaygsImkwl2uz1tqTqZTMYiQR0OB6uMER39TIeETSZTTPpCIBAYkfFSq9Xo6uqa0HqLPInhDd8kp6ioCHl5eZDJZCl/uIxGIxveolAvMdWhockGbbfb7Y7Tehxp+gchhBklen+nTJky6s7AUF5LYWFhWs+goKAAHMclTUkYDM3dpAVkaV5ZutD5wiYAOgB9AKYA+OTI+r++/jqAyJxefn4+xGIxfD7fkEOvqUA7BD6fL86rlUqlyMvLw8DAAAwGQ0wgSipEz+uWlpYiLy8vJvCEjrD4/X4IBALk5+fDbrcjEAjAarWmbbxUKhV6enrg8XhiKtfzTDy84TsGSOVDHv3BIYQw45COlziZEYvFLCBksOixRCJBXl4eqxGXajABx3Ewm83wer2oqKjI2LBmKBRCR0dHQq8lXWjOWzI8Hg9EIhHrCJSUlEAqlUKn0yUdCk2lQGxtbS1Wr1yJh7ZswS/DYcxDxOjdIRRiddSQZk1NDcLhMCvpZLfb00rDGMxw+ZNarRYDAwMwm80oKSlJa/gxLy+PJdNXVlbGJbVzHIeioiJ4vV5WyJbKvY0kQEUoFKKgoIBFjfKGb/LAG75jmOiE9aKiImYMVCoVxGJxwsn6YxmlUpnQ8AGRD6LVaoXFYkmrskV+fj76+vriKkCkg9frxcDAAAscEYlEKCwsBMdxw87FjRS/34/e3l6YzWao1Wr2YZbJZEnz2cLhMNrb2+FyuVBXVzesJ/jqa6/hsjVrcH90ovqKFXj1tddithMIBCgrK4NIJMrYiAKVLBt873Jzc9ncmclkSmvIODs7GwUFBcjNzY3pKIZCIXAcxwTKo3VhaedxpM9QrVbDZrMdM1MKJwq84TsGcblcMBqNMQnrZrOZGQOhUDhptTdHA63HlijMfHAwQaofxGjDFwqFEAqFYLPZUlKCoSH/VNczNzeXtS3TKRCUYDDI5jPps0818tThcDAdUKvVyobzkpGfn4933nsPzc3NaGlpGVKaLJNKNw6HAx0dHZDJZAmjRDUaDTo7O2EwGNKuY0jTISi9vb1MSMBmszGjp1Qq2dTAaDqP2dnZqK+vP646oMcDvOE7hggGg2hpaYnpkUYnrI/muGazGWKxeNJVaIgmOzsb06dPB3C0lz5YJ1Gv16fVO6fqOF6vF2azGd3d3SCEIDs7O2HiMa1haDAYYvRD8/LyxjQVJBwOo7+/H/39/czQ5ebmoqSkJOV8s9zcXIjFYgQCAbS3tzOJsujo1kTU1NQwg5eKluto9V7pfKHP50sYxKJSqdDV1RWjwDMUNC3IbDZjxowZMcOjtAgx9ZxzcnLi5NRGC2/0Jh+84TuG0Ov1cLlcbN5Ho9GMKsmW0tTUxD7icrl80leQDgQCaGhogEQiwcyZM9lHVqVSjWi4knp9drudzRUajca4eR2v14vGxkY270PFiLVa7bDGY7T09/czrcusrCyUlJSkPawoEAig0+lYBCshhKmzpEJPTw+MRiNmzJiR9Hr7+vrQ398/Kr1XmUzGglj0ej2ysrJgNptRW1vLKrXX1NQMq8Pp9/thMBhiBLsHR2eqVCr09vbC5XKhoqJizN59mjwvkUh4JZdJwOTLVuZJilKpRF5eHqZOnYrKysoRGT3au40uVxQdIn8slFMRi8UghMDn88WU8Blpz5oO90XPHVosFgSDwZhhRKlUyiqAl5aWYvbs2SgrKxtzowdEvNns7GxUVVVhxowZI55L02g0Md5MosoXyfB4PAiFQujr60u6jd/vZyWRRgMdqjabzejq6oLb7Y4pZRQ9rDwYr9eL9vZ27Nu3D/39/QiHw5DL5aiqqoobwqZz4cDYvvtU9i3VAr48Ywtv+I4hcnNzMXXq1BFFzfl8PnR3d6OhoQHt7e0xBkOj0bC5FLPZnHG1krGAzqEl+pDQQqfRuVhDIZfLkZ2djby8PMjlcmRlZSEcDuPQoUM4cOBATO01WsOwsLBwTNQ4QqFQTOFYilAoxPTp00c9FE0jF6NJVOg1EXQ/i8USk/8WzUgL1Q4musqBTCZDeXl5St58MBjEgQMHWJWK3Nxc1NTUYObMmSw1ZDDUGFoslpgOYSahz81qtSZ8vjzjCz/UOYjm5uaYhO90oT+0ycLgAAwgEv4f/QHgOC4mWu5YUJqg83kejwcOhyOm3FJHRwfMZjM0Gk3KuV507pAeu729HT6fj1XUjv4IjxUDAwPo6OgAIQR5eXmorKyM28Zut0MsFo9qSI4m/FPjNTAwALfbPewQXHZ2Nqubp9frE4b400K1VqsVer0+5WHURFRXV8Pn8w3brui2i0QiFBQUIBQKQafTpTQqkpuby5LbLRbLmNTSy8rKYlU5Buuz8ow/vOGLorm5mYn+jobRKtQPBS3vUlJSMmRxzYGBAbS1tcVUpVYoFNBoNFAqlUl7vp2dnTAajZPe8FFBbaPRiP7+/hjDp1KpWF23VHO9qKcllUpRUFAAt9sNgUAQNzQ4ltACpwBYIdxoJRq9Xo+enh4oFIpRvV8cx6G6uhpSqRTt7e1M3iwVnc2ioiJWN6+oqCjhvdHpdLBarbBarSguLh7xULBQKExq9KhIAO38REvvVVRUDDvsTYf8rVYr8vPzodFoWKmmsSoiK5VK4XK5YLFYeMM3wfCGLwrm6V0AYCTvvgnAvzAqj3E4Ojs74XK5IJVK44asoreh8xWp1uULhULIzs6GUCgEIQR+v3/SJ71T4W6bzcaqeQPp5Xp5vV4W8Zebm4vq6mpwHBdTHX0soDljgUAAJSUlACJDrtOmTYPNZoNer0dvb2+M4YvWmxytEgh9F+iQcbTCzFBEV5HX6/UJPeqsrCzmGfb396etsDIU9L5FV2gXCATweDzsmoYyejTgxWQysSF9l8uFmTNnIhwOZ9zoJYoC5qs1TDy84UuEGsDYpGGNGq1Wi8OHD8NoNEKn0yX8kefl5THDV1dXN6Rn6PF4mIB1VlYWpk+ffswk28pkMiiVSthsNgwMDMQYOK1Wi46ODua9Dr5PDocD/f39MUPAfr9/1KH4wzG4YgLHcVCr1cxo03xEKj1GPRIg4jGo1WoYjUb09PRg2rRpo26PVCpFWVlZWvO6RUVFcDgcQ3rUOp2OeYbpKqwkgqZzUNF24Khgt1arTen4fX19MfOZUqkU4XAYgUAALpcraUdyJPj9fqb7GR0FTMUleCYW3vAdY+Tn56O7u5vpByYKdlAoFGzOYmBgIC6SjQpYGwyGmKoPoVDomPtRlpSUoLi4OG5IrKCgAN3d3XEyWgMDA+jt7Y0JvFAqlSgsLIwZLh0pTU1NrGhr9HAkDbjp6+tjnopEIkk4XCgUClFYWIje3l7m9VHDrdPpYDKZ4HQ6YbfbM6KUIhKJ0sp9zM3NRWlpKfLz85MaHJpjONQ26UKNnkQigU6nS1qhnTK4pBCdF1UoFNBqtUwQIbqgbyZwOBxobm5m0wwSiQRarRZqtZovTzRJ4A3fMQaVwaKKE8mi/OicBS1AShlc5objOCZgnYkP/3iTLMiD5tj19/ejs7OTFbANBoPweDwZz8GzWCy4/Kc/xeZoea+VK/Hqa69BKpWira2NBZOkUjFBq9XCYDDA6/XCYrGwNAuJRAKNRsPKKE2U6HgqyjijmceiggJ0GFggEKCkpISpzQw1nBkIBGA0Gpm3Tz05pVIZV4Zr8P2jQ7j0N5EKdGqAvkd0ykAulzMDyyexTy54w3cMotFo0NfXB7fbnXSuhybmDo565DguRsBao9Ecc15eMoLBIIRCIfvIaLVaVoOQLqMRf5nufV/+059ix9ateBWR6uSfArh561ZctmYN/vPOOwgGgzE1/oYbTqVeX09PD3p7e2NC8YuKipim5MDAwIhKMY0W6sFKJJKUjG+qQ8iDyzjl5OQwb324+TeXywWDwQCr1cq8LZvNxgwfx3FDDuOHw2F4PB5WkWE4wxcIBGAymWA0GiEUClFXVwcgYqTr6urGRKOVJzPwT+YYRCQSQaVSwWQywWAwJDR8IpEI+fn5TIZrxowZAMB6y8ebgHVPTw8MBgOqqqqYIZBIJKirq4uJbBUIBGkJG6dCU1MTNr//Pl5FpFirFcBiAJtCIVz+/vtoa2tDdXU1srKy0po/1Gq1cDgccXOUdG5rYGBgTOcjE0GjKWmRW7lcjpkzZybdPhgMorOzE06nE7NmzUraXhrQM7jgcioBVrQEVLSUX3RV9VSuqbOzE1arFdOnT2fBMsk6lTSyOlorF0BMgNVQRo9ONZjNZuTk5PARnhMAb/iOUbRaLWw225A5ToWFhXE/Tlrb7XgjFAohHA7DZrPFfOzGo9dNi7bOBnAAkaKtADDvyN8tLS0jSj+g0lyJKCoqQnFx8bh2XgbPj9IO2FB6mUKhEC6XixVzHexFBQIBNDc3s2NyHAeVSpVWGSe73R4j5afVatOSBeM4jqnS0Hlz6slFGz6n04menp4Y45ydnQ2tVptSvcRgMMiGYOlUg81my7g2KM/w8IbvGEUulw+r+k63GW+vYDyJrjQPYMx0EJMFrQBHlT/eAnAuACGAQgBbjqxPlB9Hh9VoUAUhBEajES6XCyUlJcN+CMfzmTqdTnR3dzOPig7DFhYWDtsOjuNQWFiIrq4u9Pf3x81risVicBwHoVAIu90Om82G3NzcpEbP4/Ggv78/xrhptVpIJBKo1eqkw/ZOpxNdXV1seH8wGo2GJZdXVVXBZDLBarWycktA5Bk5nU7WeaQycqnQ39+Pnp4e1gkVi8UQCATw+XwpVwPhyRy84TuGSaW3f7zM3w2G9p5NJhOLkiwqKsp4dYmhglZycnLQ0tICjuOw+NRT8ftdu6AMh/EDAB8C+OWgoq0Ur9eLpqYmhEIh1NfXsw9rT08Pi0SMVjwJh8Mx1QWijQ3NaxOLxWPmyQeDQbhcLjZMnK5cm1qtRl9fH3w+Hw4fPgy32x1TJUGhUOCan/0M737wAduH3uP8/Hwm8GwwGGJyZKmyTSrC6iKRCG63G93d3SgoKIhrP42W9vv9CAaDrOjxgQMHMHv2bACRSNWysjJWcX4oCCEghLBnJZPJWNUP6iF6PB5wHDfpReGPR45fV+AEgc65ROejHc+4XC60t7dj79696O3thd/vh0gkQlFRETQaTcbDxaODVjoBvApgx5GgFZFIxII2nnnuOZx21lm4GUAVgMsBnDqoaKvD4WA6kmKxmBk04Gi0LhCZs6LGnK4zmUws2b6pqQnvvvsumpubYTKZ0NXVFeNNjBa32x2j5ZqXl4fS0lLU19ejuLg47XssEAiYEpDVamXSYJRrr74aOz/8MO4eX3rJJejv78e+ffvQ2toKh8PBvK10PSTqQYbD4YRi1DTHDkBMJHQ4HI7R79RqtUMavUAggL6+PjQ0NMQIdSuVSkyfPp3prdKSULzRmxh4j+8Yx2QyobOzkyVzH8/Y7XY0Nzez/6czvzISBgetOAAsAvBYKIQr3n8fLS0tqKqqgkQigUgkwrsffDBk0dZQKASPxwOfz4eysjJ0dHTAYDCgsLAQoVCIDbc5nU4YDAZWSZ0KS3/33Xe49aab8Pn27eyY555zDu6+7z4AkXdhNENmHo8Hvb29GBgYYNXUqZFLNSAoWUAIDcahQ590HnbwPcaRv0kohMs/+ABffvklysvLIRKJ2DDlSObDHA4H0xCl93zwO6PRaNDf3w+73Y7y8nJUVlZCIpGkNKycKKJ0YGAgpiDxUMOioVCIz/EbR3jDd4xTUFCAnp4eeL3ejCU0TwSJ5tD8fj98Ph9LxaBiwjk5ORmrRZgI+hGiQStLABwGQH2U+iN/JwpaiS7aOhha/cHj8cDv97N/Hzx4MK7aQXSEIhB5zhvuvx97d+7EkwB+hCMpEx9+iA1+P373hz+gr69v2KTuRPh8PvT29sZ4YUqlEuFweMiPcTAYhM1mYwEuhw4dYsOYg+dahUIhiyyOJvoe2wHkAuAALD2y3mAw4IwzzkBBQcGI5zWtViva2togFoshEokQCARiciMpUqmUSa0ZjUbW8Rju2IMjSqM7ZKlARdVnzJjBe4DjBG/4jnGoFqfBYIDBYDjmDF+iObRzzjoLv33kERBCIBaLWRAPx3Goq6sbs0hGt9sNo9EIi8WCmpoaTJ06FQDwdwDLjmyjBPD5kX+nIuo8mKKiIrS1tcXUtAsGg6wSOBAxOoM/us3Nzfjsiy/wEIDTARQhyjPatg19fX0svy9VgfFAIIDe3l5WwgeIzHUVFxcPGVEZDAaZfFg4HIZMJkN2djbkcjncbnfKgtfA0Xm6vwJYAWAKgHwAnxxZf+aZZ45aP1OpVDKDJ5fLWfsHGz4g4tlmZ2en7Dk7HI5RF4cOhUIsuCmTuqY8yeEN33EAVfmw2Wzwer3HjNYmcHQO7WVEPKn3Afy/jz/GzTfeiE1PPQWZTMaSv4GRF5tNRjgcZhXXo3vtAwMDqK2txdLTT8d/ffkl3OEw5iEStPK7JEErqZCfn888PeBorbmcnBxYrVZkZWUlfH7UM1oEIASgH0AJjnpGNMS+r68vpQR5IPLBNZlMACLGIZH0WzSBQAD9/f0xFc3lcjkzmjqdDmazGTabbdgyR+FwmOUCLj71VPy/XbsQDIfxPQDvALhlFPd4MDQop6enh3UyaKL64I6iQqFI2nmkw5nR0Zx0zm+oiNLh0Gg0sFqtGdM15Rke3vAlwjTO+40SqVTKxJqNRuOYVxZIl2SpAHR+50+IGL0QIr3+QDiM+3bsgEQiyUiZqESEw2H09fXFiAhHB07QeaoXX3kFl61Zg/t37GD7nrNsWUzQSrpMnz4dPp8PHo8nZn5yqIhU6n22ApgPwIiI10c9o3nz5rGhYYPBkDApOhQKwW63syE4mUyG0tJS9Pb2Mm3JRIYmFAqht7cXJpOJGbysrCwUFRXF5EzKZDIUFBSkVOZIr9ezIsKPbNyI+++5B/du24Z7j6xfPSgwaLRoNBro9XoEAgHk5OSgoKAgpeoWNHjMYDDEdIxo1K1MJhu1uDVN36DydHxqw9jDG74omFblvzJ0nHGksLAQNpsNJpNpRJF3Y0GyVIBX/vpXKJVK5sUsRyRwRApAC+AyAPcB6O7uRn19ffyBM4BAIGDVsKn+pVqtjkt4r6iowB///Ge0tLSgp6cHJSUlqKurG1XqgEAgSCkEP5ra2lqsXrkSv966FQ+EQjgXkeFB6hnV1tbCYrHAYrHEBTmFQiEYDAb09/cjHA5DLpdDJpPBYrHgZ1dckTBVI/r6BAIBBgYGEA6HkZ2djaKioqSBVEVFRbBYLMN6fVSSrLi4GEVFRdj68cdDBgaNFqFQyIwfIWRY42Kz2dDS0hKzLDpBPtNoNBp0dXXFaevyjA0cyVQM9HHCsVyB/cCBAxAIBKisrJwUw53fW7UKO7ZuxROhEJYA+BjALQIB6k89Fa/89a/w+XyYNm0aXkUkWIP2v19FJB1gLAv6Akc/vsOJCNMCsGKxGMFgEHK5HLW1tePeubBarbhszZphDRWFhu7r9Xrm1crlclRUVCA7Ozvu+XwK4GahECefeSaee+GFGGUYKo+Wyhzy4cOHYbFYkJeXxzzVwTQ2NsLn82HKlCmjqiuYDsFgEA0NDQiHw6itrR2yg0qvAYjkwmo0Gmg0mjFTAgqFQti7dy/C4TCmTZs2bvfkRIU3fMcRkykkuqmpiRm1CwAYEImKfBvA/QD+85//4Pvf/z6+f+652LF1KzaFQliKyNDdLUIhTl2xAu+8996o2zGUnNa+ffvQ1dU1rIcRCATQ0NAAQggqKysTBkWMJ9GeUVVVVcKP8eAqHFKpFMXFxWw4Nfr50DQCH4A/AvglgH/9619YsmTJiK7V6/Vi//79yMrKwrRp0xLON/r9fqbaMp50dXXBbrejrKyMFaWtrq6OS5Gg+Xi5ubnjpmvb0dEBk8mEgoKCGAEDnszDD3UeR0wWowccDcYoQUS/knLakb8FAgE4jsOrr72Gy9asweXRXkwG5ndsNhsOHz4MsVgcp3ZisVjw4/POw7bPPjt6ziE8J6qKMlj3dKKoqalBdXU1Ojo60NDQgLq6upgPdyAQgMPhQCAQYDX/VCpVzMc7Oo3AC0CPSMeEmn+z2TziUQOZTJYwpSGaidKmLCkpQWlpKTiOQ1NTEzweT0zOJEUsFo97hCUtkTXRHasTAV655TgkFArF5GRNBHSI63NE8rLyAUwDQIP4adBKfn4+3nnvvUigy+bNaGpqwjvvvTeiObToKuIymQyhUIgFDERz+U9/im+PpAZ8hlg1lmTQhOdoFY+JhOM4VjE+OjUCiBi+QCCAsrIyzJo1K2HdP/p8/glgPwAzAALg4JH1S5cuHVWeZKqaqTR4ZLw6FLTDBRytF2g0GtOqQD9WyOVy6HS641ZmcDLBD3UeZ4TDYezduxehUGjYXncmoaHe+fn5LNLv3HPOwY4PP8Rj4TDOQuaHMYGjIflGoxFyuTxmTqm1tRUDAwPIyspiydN0iO9/EammwAGYhUiu3nDzioFAAAKBYNJ41lTJhuY3pltQ93urVuGLLVtweziMZQAaAfxqDJ5PdCTpYBobG+F0Osd9CDkcDsNsNqOrqwuEEJSUlIx5eSAqcD1Wwgs8qcN7fMcZ0QEIVAdyrKAfj4MHD+LQoUOwWCwx5/zr3/6G084+G1cBKEdi/cqR4vF40NHRgb1796K7uxs+nw9OpzOm515RUQGO4+B2u+F2uwEcHeJbgUgwDUEkC4Xmww2O5ItGLBZPCqNH0wva2toARLwmOpc3FG63G4cPH2aBLq++9hpOPfNM3I/IkOc1SPx8AoEA7Hb7iNq5b98+tLW1sfs/GBodSlMbxouuri50dnYyT9NgMIyJ10kL9h44cACNjY1obGyE1+sdch+bzYampqYTRn93IuDn+I5DCgsLYbVaYbFYUFpamvFINL/fzyojROfADQ71psOYmQxTt9vt6Ovri6mJJpfLodFo4uS6aDFei8UCo9GIiooK5hF+CmA1ACciOXHfHdlnJGos401TUxMzJHK5HMXFxUNGAbrdbvT19bEoVhrokp+fj/e2bIl5PiUlJejt7YXX60VRURE8Hg8OHToEjuMwa9astN4loVAIhUIBi8WCvr6+hBGeNMXA4/HAZrONWm+WjgA4nU6UlpYm9YI1Gg1L3geQVMZsNNjtdrS3t8d0SgghMBgMQ84fOhwOOBwOCASC415/d6LgDd9xSHZ2NrKzs+FyuWA0GkedYDuYtrY2lsw7VA4cZSj9ynTxer1syCgvLw8ajWbIsHSNRsPy20pLS1k+3M1btyIcCkEHYAeARwUCrD777AlLRRmKYDAIoVDI5qa0Wi36+/tRVFQ07FyoxWLB4cOH2f8LCgri9qmpqWGJ7AcPRmb5XC4XKwYrlUrh8Xig1+tT0q+Mhub1DQwMwOPxxOUuCoVCqNVq9Pf3Q6/Xj+pD39fXh/7+fub1E0KSdmSysrKYLiclmYzZSJFKpQgEAhCLxdBqtZDJZGhtbWW5tsl+L1Qs22azxVR158kcvOE7TtFqtTh8+DCMRiN0Ot2Iw7FpoEx0DTOtVss0IYfLgRsNTqcTRqMRCoWCfZBUKhWCwSDUanVKkYE5OTmQy+UIhULw+XzIyspikaRroyJJl5x2WkaVQtIlkbpNMBhkGqwlJSUssbmgoCDlDzQ1AhzHJRVBDoVCOHjwYMxQ3/Tp01nFdZVKxaIfNRpNWh/iwWouiby+wsJCGAwGOJ3OpNUdUoFWUacMJ+Gn0+mY4cvJyYmppJAJpFIpamtrkZWVBYvFgp6eHnauwSke0c+/qqoKUqkUPp8PJpMJJSUlGW0XD2/4jltoYc1AIACr1Zp2gVav1wuj0Qiz2YxQKIRwOMxK0xQUFGS84CslHA6zoUk6nOf1etmHXigUpv2Bqq6ujskZix6CbWxshFqtxsKFCydk/i6Rus2qs8/Gxscfh9/vZx/y6Crd6XQ0VCoVent7WTHZRIaPBuzQYWu1Wg2pVAq9Xg+fzweHw8G8o97e3rRzzIbz+sRiMVQqFUwmE/R6fUrDzQ6Hg3m9NFgk0Txkf38/KioqEh4jNzeXjYzk5OSMieKSUCjEvn37EAwG0dHRgd7eXixcuJAZvkTPf/GiRXjo4YePOcH5Ywk+qvM4pq+vj6n2pzLcSStdG43GmI8I1SMcK2MHRErj0HlD+rEXCARM8X68olPHkkReXbR6ymmICDTfIxCg/uSTsempp9gcXrQm5uDjUIUWjuOQm5sbZ1gMBgO6urqGTIx2OBxMJ5Lea7/fj3379oEQgtLSUnR3dwPAiKKF29raYLVak6q50KT3nJwc1NTUJBXZdrvd6OzsZEPtSqWSGUqj0Qij0cgEwClz5sxJOqxIpcmEQiHq6+sz3vkJh8P4/PPPcc+vf43Pv/ySLV+9ciU2PPQQbvzFL9D63XdMPed1AL8RCDB30SK8+Z//jFmtyRMd3vAdx1BPLZW8IEII9u/fH1MXjs6hjUfPs6WlhUWxSSQSaLVaqFSqjAbmEEJY736obTL9oUmmWbrhoYdw8sknM/WUVgADADYjom6ze/duzJ8/nxk6tVqNDffdF3Ocs5YvxwMPPhhjiGbOnBlj/MLhMJxO54ieY1dXFwwGA6saYbFYkJubm7Z4OK07mJ+fj8rKyoT3OJXKItFSYkBkuJIOBdJnF/0uqdXqpB4fxWg0orOzEzqdDoQQhMPhUSevR3dObrrhBuz66CM8GQ5jCSLP9xZElHIA4CUAa4/82wngNQDXYuwl+05k+KHO4xihUDhkDzZ64pzjOGRlZSEUCo2q0nUqhEIhmM1m5OfnM6Os0WhACIFWq4VCoci48QkGgzhw4ACCwSDq6+vjOgM2mw29vb3Iy8vLeDAQLb30KnBUE3PrVtxwJPVjyZHtdAD8AM5HxPC1trbi/nvuYYZOAEDBcTHHWffJJ/j1nXfiT88+yzotfX19mDJlCjt/qhqbiaA1/txuN1QqFWw2G7KystLuIMjl8oT3PZpUlGJycnKY4aM1Gin030VFRXA4HJBIJHHBMh6PhwXATJ06FXa7HVarFUBEk5UeR6fTpf3+NzU1Yc+ePXj6qafwSZQqEADWuSEA3kBEkP1iAK8AmBl9fTj6Prz//vvweDwoLy+P8fh5Rg/v8Z0geL1eCIVCiEQiVn/O6XSirq6OfXACgQCEQuGIK10Ph8fjYfOG4XAYRUVFGQ8oGIpDhw7B5XKxigDR0OjH6MK3mSCRJmYQwNOI9PoBxKyj/78cwNLTT0fD9u14IhRCKSLFcB9HpHoFDW15BRFvobGxEWVlZThwICIQN9jrowSDQXi93rQCSHp7e9HX1weZTIbp06eP+VxoMBiE2+1OaKzD4TA6OzshEomg1WqTGqfBhtlms8FgMMQM4YtEIjavOZjCwsKUI1ijPXoBIlXk/wcRA/YkgN8DaAeQjUgE8Q8APISIcML5AF4AcCUiknH9iKjp3I+IXmp5eTkEAgFmz549KXJIjxf4BPYTgJ6eHuzfvx9tbW1oaGjA4cOHWUpAdI0xsViccaNHJamamppw4MABVsSUlsYZT2hwyO7du7F582Y0NzezddT7pMFAmSJaEzMIoAdAAwA6y1U3cyZuFgrxKoAuRIzeOkR+mJ98/jmeCIVwAYC2I9tXIyL7Rnury6LOI5fLWarCYBkzINLx2LdvH1pbW9OS6CosLIRQKITX6415X0aK1+tNKq7g8/nQ0NCA1tbWhEaJVh8pLS0d0iMbrEva0tLCjB69R7QorVarjQuoSUXGrKmpCe+++y4uOO887Ni6Fb8HEEbE6F0KoAzAz49s+xqADhx9jisBfB+RXNLbEXnuhxAxen8QCLBsyRKsWLECUqkU4XCY5WDyZAZ+qPMEgEa90aRvWmZlNFWjU4EQggMHDjClilRz78ayPbfedBM+376dLYsWp1ar1ejr68OuXbtYDtho51hoIMe/AZyOyIcRAPYd+fvFl17CA/feGyPSfSaAOkS8hXJERL7pgN0hRFRm6GedFqKlH+6ioiJYrVZYrda4CEqZTAaRSMSK1aY6pCsUClFeXg6xWMyem8vlQn9/PyorK9PqLAUCARw4cACEkISBOFKpFDKZDG63e0Q5qC6XCwMDAywyFQB7/7KzszFlyhRIJBLY7XY4nU5otVo2jzxr1ixIpVIcOHCAjU4kkjFLNGf7KgAa+kU7OSIAtYg8z/+HSGdlxpFtvkXkmT6LiGLO5VHHX3XWWfjr3/6G3NxcVFRUQCAQ8DJnGYb3+E4AlEolCgoKkJubiylTpqC+vh5FRUVjYvSipalolKFIJEJRURFmzZqFKVOmTIjRA4ArLrsM+3buxEOIzI8NFqcWCoW45aabcO6552L16tWora3F91atGpUHWFtbi+VLl+JegQBvA7AB2A3gEaEQq1euxIIFC/DYE08AANYDaALwIYCLjuxPDdtcRLyEhxExotQ7vOXIcaiBjvb6ent7Y9rCcRwbWt61axfefvvtGK93KOj7A0Q6EDRKM11ZPLFYzOarEnmlwFHxaIPBkLIouMPhQFNTEw4dOgS9Xo+Ojg62Tq1WA4ikL1AvUaFQxCWRU0NJt4lWdgGiPLwf/YjN2b50ZN0SHPXi3wCwFwCNLb0YkaCVuxEZ2uQQ8fL+hogXuAaAUiDAgnnzIuf44AP2DGnKBU+GITw8oyQUChGj0UgOHDhAdu/eTZxOJ1sXCARIOByewNZFaGxsJADICwDZfeSPFyCvRDripKmpiaxeuZIoBQLyEEC+AMirACkQCsnqlSvTOlcgECBer5f9v7+/nyw5/XSCI+cCQFavXEksFgshhJDNmzcTAKQdIOTIHwdAFgIkFyD/C5BOgPwJINKoYww+DsXj8ZDdu3eTffv2kVAoFLPOZDKRMxYvHvYYw12fwWAgu3fvJt9++y0JBAJp3R+32012795Ndu/eTdxud9z6cDhMGhoayO7du0l/f/+Qx7JareTgwYPsePSPz+dj24RCIdLT00PMZnNK7WtpaSG7d+8mLS0thBBCzGYzWb1yZcw9mwsQC0Aaj/z/OYA0A2QxQBQA+S+AfHXk/coXCMiyM84gb775Jtm0aRN5+eWXyemLFqX9DCbD7+h4gQ9u4RkxNPfObDaz+RiBQICysjLWy54svPvuu1i9ejU6Eak/Z0dkGNF75O8///nPuPbaa/EcIt4Vh0j1hteRejX4YDCI/v5+GAwGlo8WTSLNUkIIdu7ciUWLFmETgJujtn8awE04OjwKRIZmH/zNb2A0GoccinU6ncjOzo4L0vneqlX48khFhvmI6JT+Mo2KDAaDAT09PdDpdGw4VavVoqysbNh9o6EeY35+PoLBYFx+I00xkEgkmDVrVsJgo+i0BYFAALVajcLCwlFHI3s8HgQCARZck6hS/Y2I1C78E4DrESnndCciQ5sP4mh5JwCYP28efv+HP0ChUCAnJwcajQb5+floaWlJScOWEIKuri5YLBbMnDlzwmoZHk/wc3w8aRMMBtHe3h6jHj9WuXeZIlqc+nwApQDkiAwXAkeDIc458n8FIj+O6KoNyT5O0QaPDs0Fg0GEQqGYSLxozdJwOAyTyYT+/n6IxWIsPvVU3LdrF/KPlAj6BMB9QiFWrViBx598Mm2R70RRm01NTdj8/vt4FcA8AG4A9QA2hUK4/P330dzcHHf8cDiMQCDAhgFFIhHC4TBTRGlra4PRaGRFVFOlqKgI7e3tuGXdOnyxYwdbTudcqeKM3+/Hrl27YLFY4q5fqVTC6XRCo9GgsLAw4XtHRpCXKZfL2dxj9D27FJHIy7/i6JD1AkSMnQuRSEzKEgA/QcRA/vK22zB16lRoNJqYOc1UNWw5joPX60UoFILRaOQlzDLA5PtC8UxKoj8gQqGQqWMoFIoxy73LJNHi1CQUwlIcrQ+4esUKLFkSyZ76FLGpBYODR6JJZPCysrJQXFycVGw5FAox/U3qJYvFYjz/4ov45c03Y+0HH7BtaSX6/Pz8EQfZhMNhOBwOKJXKmAhTBSIJ8wSJjTtVg9Hr9ZBIJKyeYUFBAaumQFMORiJlJpfL8dCGDWjYtQuPArgQR/MbL1uzBu+89x4kEgluvP56fJEkGEmlUqGgoAAcx6GzsxMqlYrNQ3o8HvT09EAsFg+bwD4U0fcshMh83TcAy6V8GxFPjxz5uwSRaM4zAfzfkWOcfPLJo06I12g0cDgcTOB6Mv/WjgV4w8czJDS6zW63o66ujiUNV1RUQCKRjHtKwmig4tTREZTnnnUW+5AOZRgTGR6r1cqSnoczeBRaQQCIBFPodDoUFBRAIBBg8xGvK1MlnMLhMPbv3w+/348ZM2bEeL2XIpJHJsFRrzfauFssFiZRJhQKWZUBACguLkZraysMBgOmTJkCu90Oi8WCoqKilN+HpqYmbPvsMzwM4BIARUfaRKK8z9tvvRUHdu6MS/ynhpFGk5pMJpjNZpjNZuTm5kKn08FoNMJms7GAnpEGckVH5ZYjEnj0zJG2+hDJybMAuA/AnzgO6wmBFpEAl/VDvDvpkpeXF5NuM5bygScCvOHjiYMQgoGBARiNRjgcDrbcbrezD/uxKKA7uD6gTCaDUqlkH+tEhnFZVNWGYDAIv9/P5MHUajXsdjvUanVSg+fz+UAIYefQarVwOBwoLCxMqMOYyRJOAoEAubm5MJvN6O3tHdbrjT6v2WwGEPHwKisr4XQ64XK5WGUMKu5MxbPlcnlaQ53Uk7oUEaNHod7ntm3b8O4HH8Qk9w82jLS9OTk5kEgk8Pv9rJYdhRypfzfS4cGysjIsXrQI9+7ciR8e8eoXIzI3vP/INnMR8fimzJqF+xoa2L6rM1R0GYgMd2o0GvT29sJgMPCGb5TwwS08jGAwyIR+afHMic69G0taW1sxMDAQF5zR3NyMgwcPIhwOo6ysDLW1tbDb7TAYDBCLxczzHQpav85qtUKhUExYgVufz4f9+/eDEILp06fD7/fjsjVrYnLQVq5YgdvvvBPBYJB5mtEanUKhkBkTKgpN0wc4jkNdXV3aNeMSKdoAR1Vrnn32WVxzzTXoRGTo0INIwJEREc9r8+bNOPfcc9l+drudpWZIpVJIJBLk5+ejs7MzZQHqRCLiLpcLu3btwn13383mImmbDwIQA/gIwHVH9geQMY99MIFAAA0NDSCEjEgonOcovOHjYbjdblaIVCQSsST34zWKjH4shUIhZs+eHZeITSMPo8nKysLUqVOT3hOXywW9Xh+jtEEN30TNy7S3t8NsNsNisTDjBkQ+0Lm5ubhr/fq4AJMXXn4ZPT09bO6S4zio1eqY/M/m5mY4HA5UVlaOyAOh0ZKbQiGcBOBjAA8ciTB97IknmGE8G5G8xTwA25E8ytbv98fo05IoAYWysjJotdqE7UiUkL70jDPw5ltvIT8/nyW0d3d34zcPPoi2vXuxKSrC85Y0omJHC30nUxHf5hmC8c+g4JkMhEIhYjKZSF9fX8zyjo4OYjabT5icIZovZjQa49Y5HA6WF3bgwAEyMDCQ9DgOh4M0NjbG5JK1trYSl8s1ls1Pid7eXrI4Sd7YULmLfX195JtvviEdHR0xeXEUj8cTs9xoNJL9+/cTv9+fUrvo+aPbtXLFCpbPtnrlSlIgFJLnAfL2kdy4fIEgrbzK/v5+snv3brJ37964d7qxsZFs3ryZLD3jDFIgFJJXj+RLvgoQJUAKVSpisVjIwMAA+frrr8mhQ4dIb29vXJvTzYMcDU6nk3R3dyd8Hjypw3t8JxiDc+84jsPs2bMnZQrCeNDf34/u7m5kZWWxyMVoaIDEcHOaNO+M4zgUFBRAp9ONKPAn0XDbaPneqlX4YssW3HGkLE4XgJuFQsxatAiffv45y10EIlJp/0TquYvRNDY2wul0piXwDEQ8x88++wz5+fmYO3cuiw61Wq1xw7LLlizBv/79b6ZsMhRkkGRefX09JBJJUsmxZELh2wZVWqBtzvSQpsfjgclkSjsnkid9eMN3gkDnqAbn3mk0Gmg0mlEpv/v9fthsNigUirTneiaaYDCIvXv3sjmwVOShCCGwWCwQCoVMfiscDqOvr2/E5ZyS1eyjEacjhc6lvYBIQr4CwBREctGoPmQnIhGKNkT0JkVIPI82FG63Gw6HA93d3RAIBKivr0+rMxU9zB5dMQSIGJl9+yLqphUVFZg1a1bK99jn88HpdIIQwkQVaBJ/ZTiMPUe2o3OJlC5E7gEwfnXxaFHc2tpa5OTkYGBgAAKBYNhIYZ704bU6TwAMBgOam5uZ0VMoFJg6dSpmzZoFnU43YqPncrnQ2tqKhoYGdHZ2ski9YwmRSMTmp4xG45DbhsNhGAwG7Nu3D+3t7ejp6QHtNwoEApSUlIyohttg/cdOxOuIjhT6TM5CJH2hGpEfffRH/lMAtDiUBcCWI/9ONSDHaDTi4MGDrFYfvU/pkJWVlVTDs6amBueffz7q6upACGHpIKkglUqhUqmY0aMJ6ZXhMDoRKRkERO5BNJ9E/bulpSWtaxkpVFt1YGAAXV1daGtri9Nbpdjt9piKEzzpcWKObx3neDweEEJY1FdBQQH6+vpQUFAAjUaTsdw7n88XE8Th8XjgdDrTqvU2GdBqtZDJZEll1qhiRn9/f0zSuUqlSrh9KiTy8OYiUqYmH8lD99NlcO6eBRFPb3PUNlcjIqJch0iAyUaBAKvPPjvlcyqVSnAcB4fDAY1GA7fbDYPBwMoZpUpRUREGBgaS5gTqdDqWxF1UVDSsR5lo2Jh2BPbg6PDm24gorNBk/k8QqZU498h24xWRq9Fo0NHREdNpSFYayWazpTwMzxMP7/EdJ5BBde9o8jEQ8Wpmz56NsrKyjCac5+fnQ6fToa6ujhmN4bymVHC73WhubsaBAwdYWsVYkpWVBZ1Ol/RD2traip6eHgSDQUgkEpSXlzNveaSRmtFV2amH14lIkVlKtKLKSGG5e0dq/l0E4EtEasbR88o5DjcAOAMR2a0FS5aklX9Gh8yByLOTyWRMoSYdhvL6gMhIBU2voPN2ibBYLPjeqlWYNm1aTJUNi8US07mZd+TvNwHIEOkQlEf93S4QxFS+GGsKCgrYOygSiaDT6TBt2rSE29L7PTAwAL/fPy7tO57gDd8xTiAQQF9fH/bt24e2tjY4HA5wHAeRSITo6duxCKUPh8PMW6I/RKvVmrSq9XB4vV60tbXh4MGDsNvt8Hg8SYd6xgtCCMth8/l86OrqYnMvI4UOtz0RCrGCpZcC2ISIJ0YLBQ0ll5YOr772Gk5dsQKXI5Jzth7AKTjqWT5JCMKI5M41NjZi68cfpz2vqNPpIBAI4HK5mB5lOmWFKEVFRZDL5cwADmbKlCmYNWvWkKMKgzsVrwD4cssWnPfDH0IgEOCkuXMBAP85sn0+Ijl50aFNewCcdvbZGUtATwWBQIBp06ahuroas2fPRklJSVLFGZlMxvJqM9HZPNHghzqPYfr6+tDX18cM3Hjm3lksFnR2dkKpVKKqqgpZWVnIycmBSCRCKBRKK7AhHA6jq6sLZrOZXYtQKEQoFILdbh+R0HAyaNXtRIZrYGAA/f39rMgqHSKTyWS47ZZb8MGHH7JtRxN4Eq3/GA318LYD2Imh5dLSgSrWPPfcc7jmmmtw5pHlvYgILNPzlpSUoLa2dkTnEIvF0Gq1TMdTpVJBpVKl3UHIysrCzJkzk64fLngqWlR6DQAzgDkAbguHcf8XX6C5uRl/fvZZrFyxAr+x2ZAP4FxEOhn9QiGWLlqEX91995gkoKeCTCZLeVSG/sbNZjMvXJ0mvOE7hqC9Z/oxkUqlIIQgOzsbWq02oQTWWEGHs6xWK0pLSyEWi1FbWzui8wsEAni9XhBCIJFIQAhhQ5wqlSoj1+R0OmEymWC1WpOWTers7MQN110Xl8wdCATw9SefJNWMTJfB824U6uFdQc+dQckrAEyIuxGRqgyOI38SeZYDAwOw2+1piStTjUyv1wudTjemSj+EENhsNja/SInuVLQgcn0AcPKRv81mM6ZNm4aPPvkEP7vySly3Zw/bN1oUfLJz+PBhWCwWABjV6MOJCm/4jgH8fj+MRiNMJhN0Oh0KCwsBRHryMplsQqSLqIfndDqZFuJoDJRWq4Xf72fzFVQphA6hjhSj0QiDwRAzJ+R0OhMavjtvvx0Nu3bhIQA/RcTzunHLFtjC4ZQ0I1NlKM3Mpaedhl/9+tdj4nHQ8962dSvuC4VQg8jQ538P8iz9fj/a2tpACEF+fn7KBkwoFEKn08FgMIy6s0KrQwQCgYQ5gU1NTXA6naiqqmJRuaFQCFOmTAEQ6VSsBNCPSN08qqtZVlaGcDgMlUqFZ59/nlVqnzVr1oR4eKnidrshkUjYSEpeXh5sNhvUanVSRRqe5PB5fJMYu90Oo9EYEzmZm5s74uGoTDMwMIDW1tY4yS+fzweHw5FWMVqDwYCuri4AkUn+4uLiUecEUj1JINIrLigoYALLg6H5bo8gUlKmGBHx5PUA/oBICR8RIjXspuNonlc6uW7RJErOzkTeXjKCwSBEIlHC855z1ll4/R//iDlvZ2cn020lhKRsiKNHJUKhEPR6PWw2G2bMmJGWMRyc10fTZWg79Ho9enp6IJfLUV1dDZPJxDpgV1x2GbZv3Yr14TDmAOhApLbhqStW4OW//AXt7e0Qi8XIyclhlQ7SKak0XoTDYVitVhiNRrhcLhQXF6OoKCLpTQgBIYT39kYI7/FNQhJ5KQqFAhqNZlIlsyqVSkilUvh8PpjNZmg0GgQCAZZsrFAoIBAIWMmYrKwsVFZWJjyWRqNh1byji3WOBplMBo7jQAhBbW1tjMFzu92w2+3Q6XQAjg6RrQLgB2ACoAPwfUQM3xeI5MGFEanePtrAk8GVIsZqTsntdqO3t5d5BxUVFey827dvR25uLuRyOXbs2BHTBqlUiltuuilpLbxkRH+IOY6D2WxGIBCA2WxOqyOUlZUFpVKJzs5OnLtyJbZ9ejTTbvXKlXjp1VdZXciGIxURwuEw2tracM/99+NXdjvuiR6yPjKMmZeXh56eHgQCAUgkEnAcN+mMR/QIDw0U4zguJrWBlgfjGRm8xzcJoUK0QqEQKpUqo7l3mYZ6ajKZDHV1dQAiSht2ux1yuZzN3SkUClbDb7wghOCbb75h9QNp3l20WsvMmTMhl8uZx/cKIvNfQQBTEcnxugJAnlCI+0MhVAM4BOD/jaMw8Ujwer3o7e2NE9mm1wtE5NouPP98fJ7AuF22Zg2+3LIFt4fDWIxIIMzNaV6zxWJhwS5SqTSlqhbRuN1unHPWWWjYtQubwmGchSPzq0fa8drf/46Ojg74/X40Njaip6cH1dXVKC8vh1gshtvthtlsRm1tbUyngnqLWVlZqKmpmVRyfYOF0WmqiFqtnlTtPNbhDd8EQifoDQYDysvLmXFzu91wuVwoKCgYlZTYeBAKhdDQ0IBQKMRKpdAhUEpWVhY0Gg0ruDoWhMNhtLa2oq+vD/PmzUNOTg6++uortLW1YcGCBSygBIgozrS1tcHv98foStJqAQ+EQpiKSIj7b4VCzF+6FGKxOK6Uz2t///ukDYQYPHQcDAZht9uRl5fH7sX3Vq3C9i1b8OQRDU9qVOoXLcInn3+OlxDpBIRxtBOQqoYnfQeooSOExMzHpQLtjDyESH5j5ZHlVEezqakJBQUFuPjCC/HRtm1sv7OWL8ff/vGPpAIDwWAQDQ0NCIfDmDZt2oQKLoRCoZjfOK2kET3CM1RnIZMRzycSfBdiAqB170wmEwvmMBqNTJw2KyvrmKm1JRQKUVVVBblczrw5pVLJhj1lMhkLVBiL4plerxeHDh1CS0sLvF4vq7hNywAFAgE0NjaisrISFosFJpMJbreb7R/di6aezi3R825RkX7RYsrz58+ftEYPiB06lkql6OzsBBD50BJC0NzczML+44J2Pv8cALAckURfPSIeX3RC/XCGT6lUQi6Xw+PxsGV6vT6td4B2nk5CRHGmCIB0UDue2rQJX3/6KR46srwDwC2ffoq1l16a1DMViURQqVQwGo2w2+3IycmBx+NBMBgct5qTbrcbRqMRFosF06ZNY7/3oqKilATO/X4/TCYTTCYTpk6diuzsbBBC4HQ6j7u6mWMBb/jGEZfLBYPBAKvVmjD37liFzjuGQiFWAdvpdMZ89IDI9WfqRzkwMICDBw+ivb2dzX3IZDJMmzaNheDX1dWhqakJFosFBw8ehM/nAxCZH8nPz4dGo0FOTg4IIbDb7TCbzfj7G2+gt7cXjY2NKCwsxKxZs9jQYE1NDXQ6HZqammA2m1FcXDxph584jkN5eTmMRiOam5tZekhubi44josJ+yeIGBY3jhoVIOIB/gSAC0AhgP87sjzRvGYwGER/fz/y8/MhEokgkUhQXFwc4/l7PB4MDAwkTU4fDPVMDyEy39qHiNdH51eFQiE2v/8+fo+IkS5BRH0GKUTc6nQ6VjmeeqdSqRSzZs1KqW0jgaorGQwGuFwutnxgYIAZvuECuhwOBwt4o98QOn++f/9++Hw+vkhtCkzOX+1xCCEELS0tbLJ6InLvxhqTyRQjlQYAcrkcubm5yMnJydiP0Ww2Y+vWrexjnpeXhxkzZqCqqipmKFUul2PKlCloaWlBV1cXpkyZgvz8fCYNFQgEcPjwYTgcDnYsoVCImpoaaDQatLa2oqmpCbNnz2bPKDc3F1lZWXC73di5cyfsdvuEJTsPBw2ICAQCkEqlKCoqYh4XNSrvADgVAA2boGH/S08/HTdv387SLf4PwDqBAAuOqJ5QQqEQ+vr6YDQaEQ6HodfrIZfLMXPmTOTl5SE7OzvmI6/X61M2fDT94uEtW4BwGD9EZJiTJvbTDs8PAGgRUWABUvNMo+eaFQoFhEIh055NtX2pQit3DA5Wie58DQUhhEWtRge85ebmQqPRIC8vDxzHISsrCz6fDyaTKa38yxMR3vCNExzHQavVwufzQavVHpc9stzcXCalRP9kwiMKh8MwmUzQaDRMlJcmts+YMQPFxcVJ9501axZaW1thNpsxb948aLXahL1mIGL06LGo8G8wGGQh7xSpVIp111+Pjz45quE/lqkII8VqteLbb7+F3W7HvHnz2JwXLdFzxmmn4Vc7duCOcBinIJKyce8Ro0KHfS8/MuwrQOQ57P7mG2aQXn3tNXg8HlYtgUb4Rnt2JSUlLKUEAMuzSxXajjvefx93HFlG20elunYjsRBAqjmgoVAIBQUFLJo604aPRrcGg0GIxWI2wpNMjiwRer0efr8fAoGABbwNjn7WaDSwWq1MyWWyxwdMJHxwC8+oCYfDYxK04vf70dTUhMbGRggEAixZsoR9vAOBQMofjs8//xzt7e0oKirCWWedhX379rFhz2jEYjHq6+uZd9fX14fe3l7k5OTEiAXTIJgnQqGYoJDJFOWZrL7fs//7v7BarfB6vbDb7bj/nnsSRnVSA97c3IxLL7kELXv24KFwGDMB9CDidZ16xAC1tbVBIBBg9uzZ0Ov10Ov1MYV9W1paYLPZkJubi5qamhGNcCRL+/jeqlX48oMP8CQhWIpIdYlbAHgAnLVy5bDPg8r+aTQalrM4mqHCUCgEs9mMgYGBmGu1WCystt5wwSo2mw0WiwVVVVVsW5PJxBLvhzJo+/fvh9frRXl5+ajFH45neMM3xnR3d8Pj8aCwsPC4Kx9C53WMRiNmzJiRsSK0TqcT+/fvR1tbW8z83ZIlS0akUmGz2fD2228jJycHZ599Nstri0YoFKKoqAgajYYZ8UAggIaGhoRpD8kqdo9X0dLhSGacTz7zTPz2kUcAHJ3namtrizMqtKSPUCjEypUr8TIihWyDACoAvIej1+v3++H1elFSUgK1Wo3W1lY2jA9EOkZ0uHU0+P1+9PX1sflLAPjqq69w6sknI1oKewkiyju/wPDPw2QyoaOjAxKJBNnZ2SNOaPf5fNDr9bBYLCyJf+rUqSl7j4FAgAWr0IA3OjSfDjSalw438ySGH+ocY5xOJ1wu13HX+woGg9i/fz+bs6DBHqPB5/Nh+/btMfOECoUC06dPx5QpU0Y8bKpUKnHKKacgPz8fVqs1xujRCNREwgBisRh5eXlMPaO8vDwmKMSOiCRWEdKLeBwroo0Vjdj8PiKV1VnE5pYt+H+EYPbs2cxzqKmpYW3u7+/HpZdcgg+j0gMEiNSm0wLoRiTIhApst7S04JRTTsHhw4fh8XggEoniSukIBIKMdIqoceA4DoWFhZBKpRFPCJHhzQFEAnVKESkzRNs31PMoKChAT08P/H4/G862Wq1pFxWmHQAgMres0WhSCuRKFvCWTGFoOFQqFXp6eo7Z2pjjBW/4xhg6pJYpb2gyQb2x0tJSph9qtVpZsEC6dHR0MKNXWFiIGTNmJNRpHAk0EtHr9cJoNDId0OGeC503sVgsKC0tjRGYPh0R4ydEpMZd9HnGi6amJuzZswdPP/UUPvnss5h1xYgINQNAHo4aZ71ej5NOOilm22AwCL1ej0suvhgNO3fit4h4TZ8hUqR1LYCvETH0fkRy+oDI9ebn50Ov12f+4gaRnZ0NpVIJm82Gvr4+VFZWsufRhYhx70Ek/WKoCNRoBAIBNBoN+vr64HA4kJubC4/HA6/Xm5bhk0gk8Pv9UKlUSdWJBkNTcaKvT6PRID8/f8RTB0KhEAUFBTCZTCxVgyce3vCNIaFQiHlEx5vhE4lEyM/Ph8Viwb59+/DNN99AIpEgLy8vRlPw/7P33vFxXWX6+DN3inqbkTSjatmyJMuSU4mxY8dOsSPH2YWFXRbS4AcLLJC61C8lQAidsBASYDdelhKHEJYlS4kTl8QpdhwcuaqPepveNb3c8/vjzDm6d4o0kuWAEz+fjz+2pZk7d+7cOe953/d5n2cp0Gg0nKyynOfngvz8fFx66aU595mYpFdeXh76+/sxPT2N7ddcg3tefRXfSySgB/XQ+8ESXcvPFdIengCgBLTcegWAnwP4HqjM2s2gmVoh5v3nMgUDURTx+uuv4+ixY3gQwM7kc24DzaLuAPDvAHaAvt+HBAE3SYSt29ralu3DmCui0aisZ9bY2Jgm+L0VtAz7XUHA5quu4ia+C30uVVVVsFgsCAQCWLNmDcrKypYceKqrq+H3++H1erP2vCORCILBIC9fMiKYRqNZUcIbK2G/GQl0KwZyEecNgUCAdHd3kzNnzvy1T+W8YHp6mmzZtImAro0EANmyaRN56aWXSDwe/2ufXhpEUSQWi4UcOXKEhEKhnJ/ncDjI7q4u2fvU63Sy/1+3fTtxuVzn8ezl2N3VRbRKJfle8vV/AZAhgHQn/7QCpAQgPwfIFEAeB4hWqSS7u7oIIYREo1Fit9tlx3ziiScIAHIieYyzABGTz0fKny2bNpHBwcE37P3OzMyQEydOkO7ubtLd3U1GR0eJKIqEEEJcLlfa56MtK5P9f3dX14Kfz/j4OD/uciCKIunp6SGjo6MkGo3KfufxeMjw8DDp7u4mJ0+eJLFYbMnHdrvdxGg0koGBgSU//yLScTHjO49gMzdvtmyP4V8//GH0Jm18doKW1e48fhxf+Nzn8Nv//d9z6vlFo9EV1/VUKBQ4efIkH/hNLfdlw/tvu407enOiiMeD7Vu34q577+XqNW8UeUlqtsqGLK4D9Z5TgJZf7wJlN35Q8rzdO3bg57/6FaanpzmDsaioiNPi3/a2twGgs3yXgpY07ZgfDzhw4ADi8Tifg4xEIucsmcX6kovNQjKx8ZKSEtTW1spKeKmC39/+xjdwJpm5XgdgAov7J+r1erjdbpkTitfrRWlpaU7vT6FQYP369TzTi8fjcDqdsNvtMgZxcXFxzkbNTOGJ2TMx2O32nCsiqZJoF0FxkdV5HsHo8Eup+18oYOzGPaA2PgbQ0th/grLp/u///g8333zzsggpQ0NDGBoawhVXXLFiPT6G8fFxHD16FBqNBu9617sWHYmQsjj/CVTFRAs5i5OxGhsaGs6LN1pqcHj22Wexe/duHE2eS3vyfLYB+ChoqY9h49vehk995jPo7OxESUkJD3gAXYQbGhpkJTHGBn0wKcjNZvukoxqEEMzMzJyTeHq2cYu9Tz6JkpISWK1WlJaWcoJIIpFAMBhclDDCPq//ApU604HaRz2BdNZtPB6HQqHggSEUCsHr9cJgMGBwcBCBQGBJzEwGr9eLsbExzu5UKpU595SlkIqpq1QqFBcXw+PxpI3dZMPMzAzsdjuam5vfdIzyc8Xflh/HmxAqlepv1lnhXMDYjV0A1oAGPQDYnfx7cnKSDzYvFT6fDz6fD319fYs/eIloampCUVERotEohoeHF308e58bAfSCZg9xyFmcLNjZbDas5D7S5XLh5l270NbWht27d6O1tRW7du7klYQXQAPfbgD3AHgHgOOgQXAq+ffwyZP4jx//GOFwmJ9fcXExWltbZRqRDHuffBKbduzAnaCf7ScAPq/HoFAo0NDQcE739R233sqzaHauxw4exD+9+93o7e2FxWKByWTij1cqlTmxJNnndSOADtDRCwXknxchBDabDb29vZidneXPLSgogMFgACGEb4iWcw8XFhaCEIKCggKsWrUKl1xyCerr63MOeqIoQhRFqFQq1NbWYvXq1bjkkks4szkej8v0ZrOBEMJ1ci9CjoulzvOImpoa1NTUrOhi+LcCKbsxk2pGQ0MDbDYb9Hr9krO+9vZ2GI1GrqSxklkUU3vp7u7GwMAA1q1btyCRgb3P46DEkSAAJ+R+fDqdDm63O6sbwHIhDQ4bQZmUX33hBfj9flx+2WX41pkzUBGCbwP4ZwCngTTR6YQo4gMvv4zJyUmsX78etbW1CwaQbD6BRqMxzbOPYanlNGmp9jZQ94cbAHxKFPGlF1/E+Pg42traOFM4EwghiMViUCqVstde7L7U6/Xo7+/nm4dAIMDLtYFAAE6nE263mxN1pCXGXKFWq7F+/fpFNwaiKMLn86GoqIgHWrvdDpPJhOrqatTU1KC6uhpOpxM+nw9lZWVYs2YN8vPzcxJvqKyshM1mg9frXZLgw1sBFwPfG4A3ixanFKlsuk2gC/MDSXbjunXrANCFY6mBr7i4GKtWrcLExAR6e3tx/fXXr+i5t7S0oKenB6FQCOPj4zLLolRI3+fXEwk0AjgA4KGktBcLAq2trSt6jiw4PA7galAR6W0APiGK+M5rr4FtpT4P4IsAH+DeBDpnxzpA1yX/ZhY8uYLN9rlcLtx4ww04+MIL/HesJMmMYj0eDzo7O3P+nKWzkE7Q2cA46KwgQO+ZxYavjUYj/H4/H2ZnIu+p9+V2AIcA/JsgYNvmzSCEIBwOQ6VSoa6ujkvfRaNR2WiBWq3m0mDLwUJBL9VoVqpyIwgC4vE4HA4HYrEYXC4XEokEH+VYish7QUEBiouL4ff74XA4zhtT+kLExVLnRaQhEonwYdxsIITgP//rv/D2G27AHQBaAPwbgA2bNuHxX/8aLS0taG9vX7abOlPJN5lMMsLBSkCpVPJAlUs5lZX/PgE6EP4FAOuuugof+NCHciqXLgcsOGwHFZCeBHAGtLxZCnk5s0wQ8LYkUedJUAshZmXKMp1LLrlkWefxvve8B3958UV8A8BY8vVeSxJFBEFAKBRCIpFYUklQmpUpQINeHugsHoCMpCNCiKxyItUdTXU7YJ/XHaD9vQ8B6Ny4EV998EEoFApUVVWhtrYWsViMb0o1Gg3Kysqg1WrR0tKCDRs2LHmIPRfMzs7yUi7LKoPBIObm5gCAu1uw4JhIJJCfn79sDVgWuKW93Yu4SG5ZEMPDw/yGXCrC4TDcbjfWr1+/ZPmjvwYCgQA8Hg88Hg/C4TAEQUBHR0fGL77b7cb09DRisRiqqqoQiURgNBqRSCRQV1e3LKmlTHjhhRdgMpnQ1NSErVu3nvPxpIhEIjh48CAaGhrQ0dGRU7YyPDyMgwcP4md79uDk6dP859IMiO3U6+rqlnVe0WgUFosFc3Nz6OzsxF2gAU86mn4ZaACsAGVe/gR003HFZZdh5OxZfCnpZPA65jU1l6Mhyogi3wEtRRpArX+kxJ7q6mqMjIxAEAR0dnYuWE4jSZcBpVLJy7g/TCRwGWiZ9r4M50oIgcvlgtlsRk1NjSzgEUIwODiIUCiEsrKytPlEabm2rq4OLpcLoVAIgUAAiUQCCoUCGzZsOK8lQLa8sgDLJMVKSkpQXV0Nr9cLh8OBiooKLuBttVphMpm4qtC5WHkRQnD27FnE4/FlEXXerLhY6syC4eHhFSlfPfvss3/TgU8URfT19aVleMxiJpO9iSAIvPfhcDjQ2dmJlpYWzmK1WCw88CUSCdhstiWr0QM06zOZTJiZmUE4HF5RklBeXh527dq1pDJsS0sL7v7EJzBy9iweBFU2OYZ5qvz//P73mJ6e5k4cS3m/sViMW9d4PB58/YEHAACPJn9/GYBfATgLSmS5DcBPQUuFrON2xwc+gGf//Gd89vnn8dnkz3anEFOWApZ13gwgDMAGOgyfKs/GrIcsFgs3U5aCBS+TyYRoNAq1Wo1fPfEE3n/bbXh/BtNf9hy32w2TycTHAex2Ow98CoUCCoUCzc3N6O3thdfrRSgUklUYpFJswDxpCqAZHitzni8wE+Tq6mrep9bpdDKLrry8PK74wqDX6xfsby4FCoUClZWVsFgscDgcFwNfEhcDXxbwTO/dAJbjETsDYB/Ou5rFUiCKIrxeL8LhMK/3C4IAjUaDeDyOsrIylJeXQxAEjI6Owuv1YmhoCGNjYzJSA2uy22w2+P1+2Gw21NfXcwWMYDAIn8+H0tJSjI+Pw+v1Ih6PZ1wUgfksh8mCsX5NdXU1Ojo6oNfrz8uuXKVSIRQKIT8/P6cF0Gg0Yv+hQ/gu6NxiJSQamPv3Y3Z2lvdUbDZbzlnf3NwcRkZGOP39ga98BT2vviqfGwTw/0D985iSygCAKgD9yePcfPPNuO+++7I6GSwVrCR5GsCVoKMcFsiJPQBQW1uL4eFh2O126PV6XiXIFLzUajUMBgO0Wm1GEg1A9W0nJyc5AUWlUnE1klTk5eVxDVar1brg2BALNqyacT4cRaSIx+OIRCKYnp5GeXk5NBoNlEqljElbUFBw3tV+KisrIQjCBW12vdK4GPgWQyWo6OFSkYybf20mVTwe5yXMubk5vrhWVVXxbGf16tVQqVSyhaC8vBx3f+ITePbAAf4zVtIrLS2FWq1GTU0NX/AMBgMX17XZbHwOi5Vz2GOk1yORSMBkMsn6DzMzM6ioqOBMvVyHzJcK5gAxMTGBSy+9FGVlZYs2/1kG9C7QEQ52taQZ0ObNm2VkglwW13A4DFEUefB9+ciRNHZmFLRXNSh5vWnQ/dW3U4g2qZnOciElinw7kUAtgGcB/HuKPFtpaSkP+KxKkBq8Zmdn4ff7ceWVV8pYupnOlWX4AFBXV4fq6uoFryMbPne5XKirq8v6nWPyYNFoFF6vN2M5nn0/ViIoMhPmubk5mM1mrFq16pyPuRwwE+KLmMdFcsv5QtLSeqWb47nC4/FgaGgIZ86cweTkJNcQzMvLg16vlzW6NRpN2hf9njvvxF+ef15Gonjt0CHc8s//jJ6eHoyOjvKSjXRWSK/XQ6FQwOfzIRgM8kWREAKz2Sx7DUEQ4PV6uSJHfn7+gkSJxQg3ucDn8+Ho0aP4wx/+gOHhYcRiMVgsFpnRbDawDOgvkH9xpBlQWVkZ8vLyuHJHLtBqtVAqlSCEcG1J5n4QASW2sMLXCcnrfRTAR5A+Z7eSYESRj4ISe+4HcNnWrWmvx1R6PB4PD+LhcBh+vx+f+/Sn8c53vhO33XYb1q1bh5t37YLbTek3zMFdem8wVRatVguDwbBoECoqKuL3mM1my/o4hULBS4rd3d149tlnOTlpbm4OExMTOHPmDHp7e7kA+7mCZf1Op1Pmnp6KWCwGk8nEr8tFnF9czPjOF97gwBcKhaBWq3kWF4/H4ff7AdAST3l5OcrLyzOyLAOBgMwCJXXOKgxJSe/QIdw9OwuDwcCzuLGxMR6UNBoNKisroVQq+Xuvra2F0WiEw+HgpS7Wo2loaIAgCCgpKYHb7cbY2Bif3WPvJRqN4uTJk7DZbNi9e/ey1GA8Hg96e3sxOTnJg35VVRU2bNiQs7RaJqr8AQCfTcm4qqurMT09DZvNlhMdXqlUorq6GmazmS/MLwPYBRr0CGjAQ/L/31cqsf3qq/G5z3/+nMuZi0E619fT04PCwkJcffXVaUogJSUlaGpq4qXyoqIirF69GrffcgtOvfKKvGx76BBue9/78N+//CUsFgsPMgUFBSgvL0d1dTXKy8uX5Cyg1+vh9/v5PZltrlChUOD/feYzOHT4MP/ZNVdfjQe+/nX+nkRRhNvtXpHSoNRRwmQyZXWgdzqdMJvNKCwslPXHFQrFipVkfT4frFYrdDpdThu9NzMuBr7zARF8sOp8lToJITImZiQSkUlmlZeXQxRF3ltIRTAYhMvlgtvtRjQaRVlZGSorK1FeXs5LeptAdRtjADZgvsQ2NzcHg8EAq9WKzs5OdHR0yIgnqYSYkpISXvIxmUxQq9V8UZH64FVUVKCkpASlpaWyL7tKpYLZbEYgEMDQ0BA6OjqWfL3Onj2LqakpAHSR3LBhAwwGw5KPs/fJJ3H7LbfgDgkpo+v662UZkE6ng8lkQjgcxokTJ2Cz2RYNUNXV1SgoKEBFRQUPrvcnEmgBZXU+BJplfhHzJJCVYM7milzKp6kD/A6HA88eOJBWthUTCbz/wAEcO3YMjY2NUCqVSCQSsFgs/H5d6oaxvLwc+fn5vF+dLfB9+IMfxMmXX8ZeAG2g8m7fe+01fPmLX8TeJ5+EWq2G1WpdUSJVXV0dvF4v3G53GgGHobKyEmazGcFgEH6/H4WFhejv70dVVdWy7tNMCAQC8Pl8EEXxYuD7a5/AmxIigGS8W655aiYQQuDz+XiwkxJn2OArg0qlyqp4IooiHz9gYOoO5eXlvKT3GiibMAG5WPEVV1zBZ/2cTmdOWU1dXR2MRiPy8vIWXNQyMWkFQcC6detw4sQJDA4Oor29fdFdsN1uR15eHt/Fr1u3DoQQdHR0nNNOXpoBvfzyy9BqtdDpdDJVE6Ymct8998g88liPNFPAYjZPwHxw/TdJcL1myxbcdc89uPzyy/8mHN5zgXRQXYprk39bLBZs374dJSUl6OnpQSAQ4J54DEvJetatW7eggoy0knEjaAn/JgAQRdx/7Bii0ShWrVoFvV6/osLOBQUF0Gq1cLlcWQk4KpWK++jZbDY0NTUhHo9jdnYWRUVFyMvL42MbywULrn6/P2sAfqvgYuA7H1CBOn+uAKTq96IoYnR0lJfqlEolL2GmZkkM0WgULpcLwWCQl1kEQUBFRQUSiQS0Wi2KiorQ29vL2ZiZ1EqeA/D9JKmhtbUVdrsdU1NTsFgsqKyshEKhQCQSQTweR1FREe/pBYNBro952WWXLcqenJubQzAYTKNz56q2YrFY0NPTA6vVilWrVmHr1q18vGAlpc9aWlqgVqtx+y234Ohrr/Gfs+D2/z7zmXRm5iIOAQxlZWV4+o9/xOTkJF555RVUVFTg6quvXjGK+7mCjaiwQJEN7DN6FsAWAE0AijC/gbrhhht45sH6ztJMy2azwWQyoaamJqf3vliwkgZi1lFUgZaU78f8eMb5cDOoqanhRrPZUFVVxcdZEokEdDod7HY7JiYmEI1GoVQqcckllyy79KlWq1FWVgaPxwOHw5GVZf1WwMXA9zcKp9PJ5YqY/JdSqYROp4MgCLwHkimQxGIxuN1uuN1u3ucDaHmTUalTF6yqqipYrVZYLBaUlpbyrOMTkqzjhm3beElPp9PBbDbzrE+lUmF0dBT5+fn8WKzvFwqFUFJSsmDQ83q9sFgsXIaqvLxcJuqrUqmwbt06nD17Fn19fWmBz2Qyoaenh5NsFAoFNBoNRFFc0kImiiIcDgf8fj/q6uoWFBb+xL/+K3qStkzvANADGtz+4R3vyMjMZGMPw8PDWbO2ubk5jI+PIz8/H62trWhoaIAoim+oqehCVkGJRIKPqKhUqgUDn16vxzVbtuAzx47h06KIa0F7lPcme6LS7J6RQKSvzTZnrOeb68wdu/9TNzosYLwMGoidoPtTlpMv5tZ+LsjPz1+0fFpYWMjZsXa7HVVVVbDb7dyAN5FIwOVynVPFoqqqCh6PB06nE3V1ded9pONvFRcD398YCCGYnJyUMQKlArMLLTR+vx9ms5kP6TKUlJRAq9UuuIhXV1fDZrNhbm4OgUBAVtI7ceIE8vLyZMoPgiBAr9djdnYW0WiUjyCEw2FMT1PxKZVKBb1en1V5ghACj8fDZ/+A+YHbTF/IdevWYWBgAD6fD1NTU2hsbITJZMLp06fhcrn485uamrBhw4YlWbEkEgkuis2G8wkhWTNLo9GIZw8cwCMANgPQQBLcjhwBQDOLCGiZ2ID0we9MYIzQubk5+P3+JRE8zhULWQWVlpbyMRVWIs/WYwwGg5iamkIgEMADDz6IL3/xi/jysWPzx8zAQs302jfdeCM+/6UvAaAbo1yGr5kgQyKR4OMEqW71d4I61NdCXsl4o0rIhBDE4/GM/X/m5M4891hvnIGJQSwXpaWlyMvLQyQSOecgeiHjYuBbCggoxVGNha+cE1RVeImIRqMYHx/nWZpGo+EltaynlFIKZUGvqKgIFRUV0Gq1ORFsNBoNtFotnE4nLBYLX/BbWlqwdu1a9PT0IBaLwel08i9LVVUVKioqeM9Or9fDZDLxkQmWnWZCKBTC2NgYp3gLgoCqqqoFh9U1Gg3WrFmDoaEhDA8Po7GxEVarFS6XC0qlEmvWrEFHR8eygsXw8DDXe2SzXky+LdNOnZXNdgPwgA53BzEf3ACaWbDBbyXSB7+zvUedTgeHwwGLxSJ7LNv5rzRhimVZ3/nmN9Fz7JisPHt30iro+z/4AQ94+fn5qKmpyRr4xsfHuexda2srDr/8MsbHxxccqmcSZntASSejAD71/PP4aiSC737/+7BarTkFPkEQoNVqYbfbYbVaUVJSInO5uATA+0FHQRh2bN9+3sZBUhEMBjE+Pg6lUskrOVIwkk5JSQkSiQSqq6tlgS8UCqX1QZeKqqoq7tV3MfBdxMIQQQNaDJReV43sU5Bx8HGGXOFyuTA1NcUtXhobGxdkXs3NzXFFCEbHLykpQV1dHSoqKnh2txQpVoPBAKfTmbbgKxQK6PV6zMzMwOfz8S8LU31hYIthXl7eomUpjUbDbWVY/y0XIlBHRwcUCgUPCC0tLVAoFGhtbT2ncmBlZSUSiQRXFRkbG4PH44Hdbs/YC2Ebg2OgGZ87+YcFt+3XXIN7Xn0V30gk0ABgP4CHcswsDAYDHA4HvF4vL0/b7XZMT09Dp9Ot2CB0pizrMtBgXoFkBiuKuCNpFdTa2so/44U+3+LiYoTDYWi1Wl7CXIgVKiWdbAR1kL8ewMOJBO546SVMT0+joaFBVqpfCHq9Hna7HV6vF2fPnpWN5gDAKVCW7GcAPProo7j55pvfMIasWq1GNBqFKIrweDxpwZw5ubPrW1ZWxjdiDA6H45wCn06ng8fjWXEbrQsJb80C73IggG7bARoEs2lXi1hy0ANomTKRSKC4uBjr169HRUUFZmZmYLPZMDs7Kwtg8XgcIyMjCIVCcDqdMiFcg8GAvLw82O12nDlzBkajMedzYCrwmUqNVVVVaGlpyTqHxMR/M8l/iaIIq9XKsySA9ivXrl3L5+hyZb8WFhbibW97G18wiouLcdlll2FmZkY2kLxU6HQ6rF+/nus3GgwGNDQ0ZJUd4wQgpRIvAigAcBjJ/lVXF57+wx+waccOfBx08PuLAK7MMbPIy8vjmx6LxcLfNyEETqfznAb5jUYjv06ZzGAnAbwH87cwy2CZVZBWq110U1NbW4umpqacA7SUdMKI+07QPhwAXsZeaDhdiry8PH5/nDx5kh9bivemnGsmhMPhFRtkZ1Cr1ZyoYzKZMm5MpddX+p1mOFemuEqlQltb21s22wMuZnyLQ5T8uwxAPuZrWwWgzR0p2Pdkidq39fX1nBjCvMGkLstKpZLP8zAVFo1Gg/b2dtkXJRQKYXJykpft/H4/vF5vzjTobIFNEISMPbNgMIiBgQEANOOUEhbi8Tjvm7FRC2mZZiX6Vwv1pcrLy+HxeFBWVrZoE59dw2g0Co1Gg6KiItlQfyYwAtC/ZBBalvZIjx8/jsLCQrS1teWcWdTU1PA5y1AohKKiIpSWlsLn82UVD18Ima6TACp0LTODBfAl0Ex2K+Yz2MsvvzxncgnzsssVqeaxhaBl4z8nf3/llVciHo/D7XajoaEhJ7KSwWDgn7302AzsfXV2dsoINU1NTXC5XHA6nZzyv5g34FKh1+ths9kQCoXgdruzVnYCgQCCwSCqqqpQWVmJqakpaLXac8r2LoLiYuDLAFEU53eXfskvlKDfygiAEAAvqJanIuUxCgALVBgJIZzByMo/giBwt+WpqSmIogiVSsUVTUwmE6//sx7P8PAwBgYG+GxXIBCQmWmywLLSzK1EIgGPxwO32w2v18t/zgJjLBaDzWaDzWbj2od5eXkwGAwrEuykC9V9d9/Ne0NrARwB8P2DB3H7Lbfg4UcfhdfrRX19/aJ0+FgshtHRUYTD4YyUcWkvlSGTW3lzc7PsuSxLPnv27JL6Myz7drvd8Pl8KCgogF6vh8/ng8PhgMFgWNKQtzS7Y/27OwH8BsA7QcWnpWawPQAmMM/AXC7xQxRFHrizIVUR51IA+0BLwzft2IFLL70UVqtVpuG6GJiMWWNjI67fvh33HDnC1XZeSr6vHdu24b6775ZtBrZs2oQHv/lNPh4UiUQQiUQWJIYtFWwTOzs7C5PJlLF0HAqFMDg4yBnOarV6xbU+E4kEZ2S/1QbaL/rxpcDv93PNvttvvx3oAnWzlN6XImhDRwQdTEptO4RA1YMPA8ePH8dVV13Ff5VKYGFMyUQigampKV7WKSkpwerVq6FWqzE8PAyfz4eioiK0tbXB7XbjPe9+N1546SV+3N1dXfiPPXu44HNFRQVWr169bNuVYDAIq9WKhoYGWWnF5/OllRN1Oh0MBgPy8/MRDAYxNDTEA15BQQFqampQXl5+zhYwmbIWAPguaE8IoB/TMQB3AfjLX/4CpVIJtVqNzs7OBTcAhBD09fUhEonIAqXX68Xs7Cx0Ot2iwZMJbjc3N6cF+KmpKdjt9oy+cdkQDodBCEFBQQFcLhdmZmY447SlpWVB1qp0c0AIQVtbm6zPBQA/Br1Ovwe9xfNAqf2fkDxmoaH7xRCJRPi9sJhDu9vtxu233JIWhH72i18syTleCo/Hg/HxcWg0Gnz2U5+SHfttV1yBPI0GA6+/jq8kEmgG7f19TxBw2ebN+N3TT0Or1WJubg5lZWUrbl8kiiJ6enoQj8fR2NiYcb5vcHAQgUAAtbW150Vkms3i5ufnL0sN6ULGxYwvCVEUMTs7yzM9vqjsX+BJOUDaj3G73ZicnEQikYAgCGhsbOTSYgMDA4hEIlAoFKipqeF6lgAdYejv70cgEIDdbscH3/9+nHrlFTwEYB3o7vy7Bw/iYx/5CP74zDOIRCLnPPc1OTmJYDCI/Px8zM3N8UWUOTmwrI9R7hkRpqCggNuv1NTUnJPSRCqkWcsVAL4P4GcA1oMGvCpQMecq0AWdDelGo1E4HI4FB9hZL2VychJWq5XPjcViMYRCoZxmyWKxGC/vpga+6upquFyuJallpLJJY7EYNBoNDAZD1qCXaXNw1RVXAEjvczHfiz8A+CTowv+lFdQB1Wg03PrJbDYvODCdmj1rtVruRJ6abWfKvjOhrKwMGzZsgEqlwjPPPYfXX38dd37sY3j95El0J3t/ewG8HbR4cxMomefLR4/C4/GgqqrqvPnXCYKAmpoaTE9Pw+/3Zwx81dXVGB8f5/qjKx18tVotd8I4V6bohYaLGR9oWWFkZIQHqcrKStTX12NsbGxBB/Z4PJ51FxsIBKBSqbBp0yaIoojp6Wk+m8cEfKXlk+npaXg8HqxevTpjOZDtzqanp/Gud70Le0Eb9KOgC/0+zLtipy5W8XgcDocDWq025/KYy+XC6dOn8ZUvfQlHpDNYXV34wY9+hHvvugvPHTzIf37TjTfiid/8BhUVFQtel+WCuYGzrGUg+ecfATwM4OPgKnEyh/CKigpMTk7mnPWxsY2mpibodLqMP8sG1u9UKBS45JJL0q5Brgt2tnNzu92LMipv3rULrx06hB8lEvOKMUol3IkEHgW1NmLh9OfJ/0txLhleJrAKgUKhQEdHR84lQ1EUMTw8zO2GWlpa0NjYiOnpacTj8YyjAItBem0SAD4ASuqpADCUfEwRgHYA+/btw0033ZTxOOfyOaYex+/3Lzjnyu69NWvWnBfmKatESB3g3xIgF0Hi8Tg5e/YsOXv2LPF6vSt+/OHhYdLd3U26u7vJ7OwsEUWRRKNREolE+GNEUSTxeHzB4wwNDZGHH36YACBTACGSP1O0q0jedsUVxOVyEUIICQaDZHh4mPT395Pu7m4yMzOT8zmLokiuufpqUioI5MfJ4+8FiFapJHqdjpQLAnkQIH8GyIMAKRcEsrura3kXKAfs27dP9r49yX9fC5AygDye/P/jyXNk5yKKIjl79izp7u4mNptt0dexWCyku7ub9Pb28p+ZzWbS3d1N+vr6Fn0+u9Zms3n5b3YZGBoaIo899hhB8nNi90UCII8m741ihYJ8P8N1MhqNZN++fcRoNC779ROJBLFYLOTMmTNkfHxc9jt2/4+MjOR8PKfTSXZ3dREkzx0A2bVzJzl8+DDp7u4mfr9/Sed36tQp2bUZSh6T/b8XIN0A+Uny55muhd/vJxMTE+T06dPE4/HIvr/nC7Ozs6S7u5sMDg6el+MHg0HS3d1NTpw4QaLR6Hl5jb9FvGXHGaRSXoxa39HRsSS1DwaPx4OBgYGs1Ofa2lrk5eWhra0NtbW1mJubw8DAAMbHx2WjCIs17letWoVLL70UAPAUqAYi67axbt/w6dO4/ZZbAID78LFM1m63897bYhgeHsYrr76Kz4girgFQD5ppPZxIwOp04pOiiJtA6ef/BuARUcS+pBzX+YCU+ZcAzVoaALwPdLLkDtA+1R2Q+9OxEiZARwPIIgUOZqkUDofh8XgA0FEOpVKJUCgkI/NkAitZORyOrI+Zm5vjxz4XGI1G/Pa3v8W111yDtrY2fPSjdCz7v0HHAWwAekE1MgGgcd06fArp16mlpQU33XTTssuaLpcLfX19vAfpdDpl6kFsJISVxnNBplGL4y+8gAe+8hUAuY82APSzePnllwHMl3tbQecV70keOwxaNfm8IGB3V5fsWoRCIfT19WFwcBAOh4OPEy30GS8V8Xg8TXEJoPeTQqGA3++XsbxXCgUFBVxbN1f/yDcD3nKBLx6PY3x8HENDQ7Ibt6CgYFnsR0IIZmdnEQwGMTs7m/ExhYWFUKvVePnll/HKK69wA9REIoF4PI5wOCxTMcmGvLw8bNiwAXqdDp8B/eK2gvZq7gSln39HEoBYT4WNEiQSiZy/rGy26ipQ929mj8nmuhoxP8khVSxhRqorDcb8u0sQ8G1Q54i9AL6gVGJXVxcdgt63D0ajEc8895ysLKTT6aBWq/nQ/EJQKpU8eDFTUKVSyWeespnkMjBT2UgkknEhc7vdMBqNmJ6eXpK4gBQulws379qFtrY2vPe978VLR47gMgBnQa/JCQD/AOrQHkv+HACe/r//W/A6LRXxeJxv4KLRKNRqNd84SgNTQUEBv34zMzOLHpcNtP8okcAtoFNDW0A3XS++/DKmpqbgdrsX/SwZysvL+fiHtGW/F/ObgLcB+DKAzo0b8V8//7ns+UzQgRnZsvtjpQJFOBxGb28vxsbGZA4rAB0NYepIub7fpYK9H0aMeyvgLUVucbvdmJqa4jfXStxICoUCjY2NMBqNsNvt0Ol0Mup2JrLBlk2b8NPHHsO6desgCAIEQUAsFsPY2Bja29sBgJtSsua6KIoQBAF33HorYh4P9oJSz0+DBj0NgK+BUtIB4KWXXsKHP/xhVFZWyoIdM0ddrEfBMqwR0IkNCwAt5jNLByiRZDr5u9PJn59Pod+9Tz6JW9/7XnxJ0luUzs1ly1gEQUB7e3vOUl/V1dXcQFT6M6ZlupCCiCAI0Ol0sNlssNvtaRWEsrIyTtrweDzLCjyZRhPuAfD/ADwDukm5GzTghUCZisxVA8CKaVKqVCpeqTAYDKiuruYi36lEotraWrhcLmg0Gq5OlA3SgfYEaMZHQIMTQDO4xsZG2O32nEyEVSoVrrjiCmzZtAmfPn4c+aLIxxqmlEps37wZn/vCF7gebSq1v6ysDCaTCQDQ0NDA3/NKjQAwH8FQKASr1ZommsBmF1ea3MLAxDIKCwuRSCRWvD//t4i3BLklFothamqKl5cKCgqwatWqRQeUl4ITJ6hHdk1NjezLyBrqn00k0AlqKvo9QcDVO3dye5p4PI6enh6IogidTodQKIRgMAiVSoXOzk7u0RWLxXDllVfKmGhNoCXPOwD8CZSZ9+Xka+/u6sIvHn8cs7OzsjKsVGxaikQigVAoxMk1N+/ahWMHD+KzoogbQU1p7wYQVauRl0jgYVGEHsBxAP+e8p7OJ1566SWcOXMGbW1t6OrqWvCxsVgMFosFxcXF50wOsFqtKCgoWLQcHg6H4XA4UFlZmVHn02w2w2QyoaioaMkkjVSSDwHdhPwfqP6kEXQT1CR5zkoRVti1rK2t5YErHA5DpVLltFhKxdYXQup7nAR9jy8C+DSA119/HQqFAiqVChs2bMipUhOJRPDqq6/i/i98QWYjtX3rVnzi7rtlPoeZ3Cn6+/sRCoWyjh6cK7xeL0ZGRiAIAjo7O8+bgXU2sI31WwVv+sDn8XgwMTHBDS0NBgNqampWbPcUj8d56aWgoABNTU08G5B+ga8C7UWVgZbpUhmYLpcL4+Pj/LgqlYrrE7Ly2uDgIG6//XZMgTIYZ0Hn5UsBNINS+H8JOuJwJ4BPKpXYtGMHfvH449x9HKCD7dLZKDZwbrfbkUgkePB2u91ob2mBVVLSuQzAhCAgr6JC9nMpq/N8wu/3w2QyYW5uDpOTk1CpVGhvb0/LYmKxGMxmMxwOB/d5k2og5gpRFLmYwEohFouhp6cHhBCsW7duSRuwZ599Frt378YkaAnQAlqK9oIqr+wD7e/dAWDPnj3Yvn37OWd4iUQCVqsVVqsVoiimbe6ygRCCcDi8LMNTtmF8OJHA20EH7R8SBGy+/no8e+AAent7EY1GF2XaSjE6OgqPx4O5uTnYbDb85JFH8FLSSQMAdl5Pp0EPvvAC/xnbNESjUVitVtTU1JyXwAcAQ0NDfLQhkzIPSbqZrMRM7Fsdb/qcVq1WI5FIoLCwEE1NTSvqOsy802KxGBQKBbRarawEJi3ZVIHuXOuQ2Z5G2hMpKyuDwWDA9PQ0b2hXV1fzTOxlALeCLnoJ0EwPAB5NvtZXQXsXDyf939xuN4qKiriMWV5eHl+UmLuBdP9js9m40K/V6cRDoLNyawG0ANgrirjD6cSBAwcQj8fPed4rV9hsNkxPT8Pr9eLLX/oSjqaMWUizmpGREX7tiouLl7XZ8Xq9mJyc5GICUpBzoLSr1WruhGG1WtNo5Av54bHH/hrATnY80NEOgGbl30qqrXz4wx9e1vkxEEJgt9thNpt5e6C4uDin2cxYLIbh4WFEIpG0DCYajeLo0aMIBAJoa2vLeO8wObg7pC2CjRvxnYcegkKhQG1tLURRXNJGS6/Xw+PxoLS0NKMTxV2HDyNECP4L1FWjD/PmwX/aty9tjjMQCMBms6G0tHRFBJ9ra2thNBrhcDig1+vTRj8GBgYQCoWyVmxWAkypZjkkvwsJb8rAJ+3BFBUVobW1Natp63IwNDSE48ePc0mk/Px87jIuRaoGIcuxWJ9sdnaWm5JWVVXJbHGGh4d5ptHU1MQXm91dXbj74EG4RRGrAZwE8H2FAgIhOAyaWQ6AyolekXyd0dFRbN++HX6/HzqdDkqlkhMTWMArLi6GXq+Hy+VCRUUFBEHggfufQVmdHlBBGha44/F41lmnlUIikeAD/+Xl5ZidncXXH3gA/X/5y4Lu5myhLS8vz+qptxjUajVisRhcLhdn5pKks7zD4Vi0b+j3+2Gz2aDVatMWKr1eD6fTCbfbzfVBF9IdraiogMfjQTQaxZZNm/Ct48chJpm1p0FFsAVQx4FMfndLhcfjwczMDCKRCADah6qrq8t5wVWr1RAEAePj4zh79iyuvvpqtLS0wOVy4V3vfCdelmRamUqxqQPtdXV1nBAWjUaXFWiKi4tRVFSE4eFhPHfwYLpRMCG4A7SXnQC975l58OjoaFqA9vv9cLlcyz6fVJSUlHA9VrPZnCaeXVZWxsUUzkfgm5ubg9FohFqtxoYNG97cWeUbOjxxnhEOh8nQ0BA5ceIECYVCK358p9NJunbskM0WXbdtG3E4HLLH+f1+MjQ0RGKxGNnd1UW0SqVszqxcoSAKyTF2d3URl8tFRkdH+bxfd3c3GRoaSputcTgcZNvWrbJz0JWVyWaSppIzST9aYCaJEELGx8fJ6Oho1pmooaEhftxw8pjdAPlZhuO63W7S19dHPB7POV7l+eOdOHGCX4uenh6SSCRIf39/2qwaSV5X6Tn5fL4VmU8yGo2ku7ubTE5O8p8NDAzwmcyFwGawhoaGMv5+aGiI9Pb2krm5OUII4ffK3pS5STaT6Ha7SXd3N3nllVfIDddeK7sHtl9zDXnqqafOaRZPCjaPePr0aWKz2Ygoikt6vtPpJDfecIPsHHd3dZGd119PKpIzoM8A5L9T3uNCGBoaIt3d3WRqamq5b4tEIhHyzDPPLDgL+1jyPjdLfrZv3z5CCJ0LdblcxGaz8fugu7ubxGKxZZ+TFH6/n5w4cUJ2v0nPnX0ngsHgoscZHx8nPT09Oc8mi6JIzpw5Q7q7u/ks8JsVb4oeHyEENpsNJpOJN2mbmppWvN/EyB6fEkW8DbR0+XmlEm+/4Qb8cu9eXvtnjXC200/VINSA7szfC8q8uyfZi/vjM8/AZDIhEomgqKgoq0wR0xINh8N45Ic/RO/x46gVRVgA/Ah0rOEQgM8lj5tKOCGEIBgM5tRbkvZamkCtd74vCNiSQmSZmZmB1WpN6x8uFW63GzMzMxmtdxoaGnDixAns3r0bU6BzfAzToOVdqeIG65lItTcJIXA4HHA4HCgrK1u0V8V2wVLSgcfjwejoKJRKZUZBa4ZoNIqenh4A1EcwlegiVbjJRFpxAvgfUO1M1g92Op08I5eKY69kqTkcDqOvrw8AsH79+nPq0X0xkUAbgEEADwoCvKIoI2eVg2qrZlMdksLn88Fms8nEzh0OB9dHzVWVKPVaMzDFn7+A9s7zQLNp6bmx77YUWq0WTU1NK5YhLUQCGhsbg9vtRmVlZZpotSiKcLvdsNlsspm/wsJCzhZfDCaTCWazOc1p5c2GC57GEwqFMDQ0hJmZGYiiiJKSEu5nt1IYHBzEnj17sG//fjwiirgLVBT5owC+nUjg2QMHcOTIET73xW5IJjj9zHPPwWg04rHHHgNANSbfBapx/V7QXty+/fsxNjaGhoYGrF27VtaTYvN+DA0NDbjxxhthMBhw9LXX8GlRxI8BdIB+SVcD+AiADVdfnVbyikaj6Ovrg9FozDrOwfzzjEYjHv/1r7Fpxw7cAeAaJGed3v52/OwXv5A9R6/X80HbhWTessHtdqOvrw9jY2OyoFdSUiIbQGe9tpdTns/Kx9/55jf551BXV4e1a9dCr9dzx43e3l5MTU0hGAzCbDYvOjtZUlKCoqIimWNHWVkZ8vPzF52L1Gg0vESd6XFSwgwrK18DGvD6QDdWrPvH5iOlrvbnOnhOCJHdA5FIBB6PhzuAA/N+gEuBdA7vEwBqAFwL4ANJ8YRtoKVzBWj5/Mrk8xabAS0tLcXatWtlkn4ulwvBYDDrQDsTnTebzTwYtLa24qYbb8RdgoDHQTdNewHcrVAgDzRI2wA8nfzZ9muu4deYrSus9HvJJZeckxh8JixUPmeba5fLlSaYMTc3h4mJCQSDQc45AGjrh7VRFgObt5ybm1v0u3Eh44IOfFarFQMDAwgEAlAqlVi1ahVaW1tXzELE5XLhxhtuQHt7u0wVQwTdEU4DYPmCxWLhO86ioiKups7mBltaWlBfXw8AeAcoIy+ePMZCw99+vx/9/f2YmJjgP1MqlYjFYjhz5gyQfH4FgB+Cquv/Mvm4z33+8ygsLJQtCkw4WBTFBYeJzWYz5ubmoFAoeODet28fDhw4gIcfeSQtI1Or1fxLs9TF0u/3Y2xsjDuy19TUoLm5GR0dHWhtbUVtbS00Gg0IIWhoaOAGsHsxv2jdC8o47Tl2jCvXSIkYw8PDmJ6e5oPWLIsxm82Lnh8LvIz1yhzpAXoPLlQ0kSq5ZFPNEUWRL+a/BrUDioA24NkdsZLzkSzr7e3t5fdVMBhEX18fJiYmEI/H+b3KDJJzhdFoxG9+8xsANMDlg86BAvMB7uWUn/8x+fdy3iP7HDJd36mpKQwNDcHpdMJkMmFwcJBvIL/8wAPo2LgR78f8EPtV112Hbddfjw+AikN8GYCXELz0yiu4edcuuN1u1NTU4JJLLkFHRwcMBsN5HTtg4t5SlJSUoKCggM9LSlFaWoqSkhLU1dWlEaZytXNabLP2ZsEFTW4hhIAQgrKyMjQ2Ni7Jn2wxiKKIf3rXu3DiyBE8CBpcpkDn2G4B8O+gw8Enk4+//vrrZaXDmpoaeDwebgzb3NzMSRavgCprDAJwgSptAPIvPkmSKNiNz5wC2BettLQUl112GZA8r90AxkBFdtnXn7k6iKKIwsJCvrg2NjZiYGAALpcLlZWVaSK5zBvQbDbDYrHw4fCWlhZe+nM6nWnO6QaDAQ6HAz6fD4FAIGeavkajgSAIKCoqwpo1a9K+pAqFAs3NzcjLy4NSqcTeJ5/Eu97xDtwhJUiABsBnkmQERhpi0Ol0iEajMBgM0Ol0CIfDMBqNOW2SmA9iOBzm9lAs8Eej0QXNREtLS6HRaPjjMpEghoeHUVhYyEkriSRp5QyAL5+jH54UhBC4XC6YzWZOWmFZX2FhIfLz82VD1M3NzdyXbjFkIuYwUlctaOl2EjTLu0epBEkksAXAcwC+KwjYsYSxi1gsBqvVivz8fOh0OuTl5SESicDpdMpGDdh7LCwsRCQSkf2usbERDz/6KFcrYfZNo6Oj8Hi96D95Eh8hBDeCzhDeJyFPvREzdlLyWUlJiSzLra6uxuTkJGd/MigUCrS2tmJsbEymIlVRUZFxnjQbqqqq4PV64XA4UFtb+6ac77ug35Fer0dzczPWrl27okEvEAhg3759OPzyy/iMKOKDoH2z2wB8HVT26Cjol/bfk9p+qX0thULBSyAej4eXPd92xRW4UxDwNChzbB+AzwgCbrrxRv7FZz5mLOjpdDo0NTXx0QmGbdu28eznGVDpsFcBfDJ5TuvXr+cLslQiq7CwkC8CU1NTGTOW6upqCIKAYDAoK11mKv0xaDQaaLVaTE5O4qmnnspZt1Oj0aCjowOrVq3KujMtLCzkv6uoqMDnvvAFADS7NYIqllQge/as0+nQ2dmJqqoqCIKAwsJCXHLJJTnNowF0oWQldMa6Y1hIxkyhUMgkoTKBmdX++D/+A1dt24YvgWZHH4Bcd3S5YAGPVQ4ikQhUKhXq6+tlowbsWthsNsTjcZSXl+e86KVqa14C6pixF4AZdLP374KAHddfz0vna0Dd3t92zTV48re/zfn9eDweWK1W/hkwlZjU+5Hd+/F4HJdeeinq6ur4Ro3d31VVVejo6MB9d9+NtrY27N69G6+fOIEWQjib+R8x3444X1q0qVCpVLyCkiqFqNVqoVAoEA6HM2qflpSUQBAEVFZWor29HatXr16SzifbrAFI62e+WXBBZXwkOVdUVFSEoqIi7k68kse3WCwwm80YGxsDQG96qYAQW1g/mvx7986dWRemgoIC1NbWor+/H//4D/+AF195hf/uA5jPzLZs3Ihvf+97ACBzYFcqlWhsbEQsFoPRaAQhBDMzM7KZskzzTtJzqqurg9vtRjAYhMPh4Isw+3k4HOZze1KwL57NZoPFYpFlhQaDgRNZpHC5XPjYRz6C/YcOzZ9LjqohS9m4eL1efg2UoLOFDKzXl1o2y9SDWcpOVvr+mdURw2LBs7Kyko+JZIIgCKioqEBFRQUOHT684qQVt9vNxRFUKhX0ej1f+KUoLy9HYWEhgsEgLBYLL3cC4IPTmcB6eswqywxqFfWvoCVEht07d+Jnv/gFdDodJiYmlv0edTodTCaTLIuenZ3lGTmbQauoqODl7YGBAaxfv54fQ6VSQafTwW634/233ZY203cPgAdAVZEUyDx7e75RU1MDp9MJv98Pr9fLS5CCIPA5UKfTmfY91Ol00Gq1vAc9PDyMeDyes6GtQqHA2rVrkZeX96bM9oALLPAFg0FMT09DpVJxl4KVhMfj4Zp8zJH4JKgqCluWTyX/zlUVQ6/X445bb8XZV1+Vf7GUSjRfeike+9nPQAiBwWCAKIowm82851NbWwuTycR3dWVlZbLFCEifd2ILCcviVCoVamtrMT09DZPJhIqKCqhUKiiVStTX12NiYoL/PDX4sCF2n88nm40sLy/PuAjeceuteP3wYTwC4DpQRlzqfN25grHaeK/v0CGQRIJrL967jNIga+TnqsjBNiRTU1MoKSmRXbdMw+cqlUq26C4GVlY+F7DZQIDeI1arFRUVFdxpIhtqa2sxMjICu90OvV4PtVrN2bGJRAJOp1P23qQ9vVZQU2QRQAmAPaAB45Of/CT+9V//lQeiSCSS9T3mIp0lCAL0ej1mZ2dhsVig1Wr5Jo0NlLPHMd3UTIa21dXV6O7uxktHjuC/kTLTBxq0R0A3Vtk2VOcTarUaVVVVsFqtMJlMMuEA9tm63W40NjbK3pcgCJienpaJTrNqTK5YSaGPv0VcUIGPNdkJIbIv9kqhoqICWq0WZWVl0Gq12LVzJ+58/nlMiCLeB0q7vneJqhjDw8M4dPhw+rBsIoE7Tp5M62utXr0ac3NzEAQBIyMjfCFoaGjgpY9MkC4kXq8X09PTqK+vR3l5OaqqquBwOBAKhXDkyBGEQiG+eDkcjqwLjUajQUVFBVwuFwYGBhYcBpfu+tn77GDvM0PPbbkoLS2F2+2GxWLBr554Au+/7TZ5trvE0mAgEIDRaOTVg1z7N1VVVaisrMTw8DBefPFFVFZW4qv33582fP6rJ55APB6HQqFY0AE+Vyyk6gLQ0hQjqHR2dkKhUEChUORMZy8rK+MqPxaLBQ0NDRBFEffedZdM4zKTvNd+UBfzQlC7ql8lf75161ZotVrk5+dzYk11dbVscQ0Gg5iamkJhYWFGua5UVFVVwWw2c6uo6upqRCKRtGtcV1cnqxBJkZ+fz/V7UxVTWYZ3DFRi8B5BwE0r1GtdCljfPBgMciNiAJylmem7yyQIAVqpYE7yy2WeRiKRFSMM/q3ggspjWX8pkUhgbGzsnC00mM6mlLW2evVqaLVa+Hw+fPHLX0bnxo34EqhcV6rXWy5IVZqfBmXsSUsn0h14UVERlEolpqenZeMZCwW9VLhcLkQiEc7KUigUKCoqwr133YXrrrsOu3fvRmtrK27etQs6nQ4tLS1ZNxEGg4HvoD0ej8xqJx6Pw2w2w+Vyyd6nFOz/K2VXpNPpuEVLPB6XMU6XY7VTVFSE4uJiEEIWtRySwuVy4e9uuon3hTZu3Ijn9+/Hf4L2uH4F4NWDB/EPf//3mJmZgclkWhI7MtPrMSsi6efHRjcYLBYLgsEg4vH4svszdXV1UCqVfBPwqfvuQ8/x43gQtAKyF8Drhw/j5RdewC9A+9StAL4DKlgeBPATAF8WBGzZtAmdnZ38OrPPJpVRnEgkEAgE4HA4cqLRS+2jRkZGkJeXh7Vr16ZJbbGyYLaF+/LLLwdAe+NSsAzvAwDeD6Bj40b88JFHFj2vlYZKpeLBXNprZ5rDmfRnpTyA1atXo7y8HB6PJ+eRBulx+vr60N/ff0737t8iLrgB9mg0yj+I6upq7jm3VPh8PkxMTCAWi3HyCEBLLbOzs3zHxOa1Zmdnl9WPkA7LXg3K4iwG8DqyD+2KoojBwUHodLq03ttir3Xy5Enk5+fzDJHNFN68axeOHjyIr4si/h7AEcwPzudShpyenkZJSYmsxGm1WjEzM4P8/HyoVCqsW7dONoBtAfBzUDmtxYaTlwKHw4HJyUmo1Wp0dnaecx/C5/NheHgYgiBgw4YNCwpSs4yLaT3+KJHg5eu7AWwCHXmxgtL0vwzgz3/+MzZt2sRJCUvBQq+X6fNzu90YGxuDUqnEhg0bcqaxp4JZB7H796egcngqUFLKH5C8f0GF132gTOU+yTGu2bIFjz/xhGzQOhKJoK+vD4QQtLS0yAIVE5EuKyuDKIoLZraAXOx7uYP2ALBr5068fvgwHk4pmW+4+mp87vOfh1arhUqlWrH7balIJBLo7e1FZWVlmmVRNrDydElJCcLhMGKxGMrKypZcqu3r60M4HD5vrhR/NZxnZZjzAibd1N3dTdxu95KeK4oimZ6e5s/v7e0lgUCAEEJIIBAgvb29/HeTk5MkkUic8/kyKar/Bsg+gHwNIOWCsKBM01IkopxOJ+nauVMmD7Vt61YyPT1NPB6PTHosm8xXLBYjExMTxGw289c3m83EYrHw1xkaGiL79u3jsljxeJycOnWKSxylyrN9FyClgkAu6excMSktdm5nz54l3d3dsvNb7rEcDgeXgrJarRkf53Q6ye6uLtk1vgwgLsn1/I/kz3+flLw6mPz/M888s+TzWuz12PUFQAYHB2Xvh93DJpNp2deFYd++fQQAmQRIr0S2rp9JeUne/+Hkzz7xiU+Q48ePZz0m+/4988wz5JlnnuH3RigUIi+88ALZsmlTmtRZNgktl8tFpqenSTgcXvZ7ZPdutteU3m+p8oRvFCKRCF+ncoHL5ZLJH545c2ZJ94MoisTtdvN7SXqPvRlwQQY+Qua/PP39/Tk/JxgMkr6+vqyBjR3zzJkzOevb5YJMX6wtmzdnvRGtVisZHR1NCzSpYL/fsmkTKU3qH+4DyKPJwLpl82bS3d1N9u7dm6ZNKAJkQqJD6HQ6SXd3Nzl58iRxOp38hj958iQxm80ZF4axsTFy+vRp0t3dTcbGxjK+z0yapCsBu93OP6tz2ZxMTEzw++H06dOyxYVd3wMHDpAtmzfza/wMQB4ESClAtgDkRPLP08n3+XmAvJDc4AAgBw4cyPl82Gtu37o1XbcTILuTn58ZIH9OHv+Xv/yl7Bhs0Tt16hSJx+PLvjaEEHLixAm+afIkg95JgPyEbZok99SeDIE4E6xWK9m6eXPGQHPdtm2kVBDId5BZr/R8or+/n/z+97/P+H0zm82ku7ubDAwMnPfzWAmIokhGRkbI4OAgcTqdS9pIW61WHuiZ3u1KbKL+lnDBBj6WueUqDuvxePiu/vTp0xkzxUQisaRjLhVGo5EvpOxLlHpDhsPhRXe9mbKBNoD8BVRMOg6Qr7Ps4/e/J08//bQs4/Mnd+wPSzI+QuZFgKWBwOFwpIkn/zdAygSBbNm0iQtISwOG0Wgkb7viClImCOS7yQX6Ryu8gLFdeF9f35IFyaXX3O/3k1OnThGz2cwDaKbre65/Fst4F8rwQgAZw3xGaQRIAvMi5E8//TSJRCKy47EN3mJC2gshGAyS7u5usmXTJlIhCOTx5Gv/HFRoPQ+Qia/n+vnu7uoi5YJAvp4Moiy4bU+Kr38jGWAdyCxAfj4wNzdHTp48SXp6ejIGiVgsxtePpWReFyLYZvD06dNkZmYm7d56M+CCDXxLRSwWI2fOnCHDw8MZ1fpFUSQ+n+8NOZdoNMpLhJl2Ujdcey0pFQTyDYCMJBeGMkEgb7viCmI0GvnCIc0GyiXZAAHI2eRisWfPHtLd3c0ziMdBS1ZfAy1Ddu3YwV83GAzyL/fhw4fJn/70J7J///60MqlTks0cOXIkLeOSllalWcIvV3gBW+wLmZoxz83NkcHBQTI9PS17XOr5SwP9MywQvRsEHwXBh0FwW/L/70r++Zfk7zL9eTd9/okTJxY810zODBUAuRbz5cVDyXP5pSTQbNu6Nc09ghCa9Z05c+acS3PDw8PkhRdeINdec40sKO+8/nqy8/rr0zZnNpuNzMzMZN08snvjcYBEkV52h+T9DkPumsAcEs4HEokEr15kq0qMjY2R7u5uMjExcd7O442EKIrE4/EQo9EoC+ahUIjY7fYVafP8reKCGmdYCIwNJp1zk8pmMfJFKnsxkUjAbrfD6/XC7/ejtbU1TcJrpaFWq9HY2Ijx8XE+L8Ua5kajEc+/+CK+CyqE7QLVb/SKIrpPnuSK6Q8C6AKgA7ADwKcA3A9gGHTu6EzytTZv3oxIJIKvfO1r+NbXv447JPTzLRs34uvf+hb/f0FBAQwGAz70gQ/IhtAFAFIyvBbALlDihs/nS2v2SxmeZaC6pIOggsTAyg0BZ2OiZpLP6tqxA5/7whdQWlqKUCgkk2KSnv/+/fuxb/9+PARK0mGSdNCC6sEFk38XgTI9SpJv8ByQOgpCQMWqPwn6mU4B2AA6FwlQpiFARzd++thjsNvtcDgcMBgMstm9srKycyZi1NbWwuv14qEf/AAajQYzMzMywknq/CgjVRBC0mZOgfl7YzuogS7Ddsm/+wHcDKrEA8gFyDdt2rTirisAuIqL2WzmM4+pqKqq4v57FzLYPKbNZuOybmq1mhP88vPzZRJnhBDuHanValfEe/CvjTdF4GN6mAB1F9fpdJienobD4eDjCQBdKJkqP5MTGxwclNGnx8fH3xDmllarRSwWg1arlb0WWxj+AYAfVHy5D5RCvh5UiPpXoJJWflAV+RCAy5PPPwZqq8LmDTs6OmA2m0EIwSM/+QmfD2xsbEQkEgEhRKbK8ZEPfQivJ+cOtwF4HpSteGvyPBhHcCj5dyaml9SA9yYA9wE4KPn9d771rRVdwJhgb2VlJQRBkMlnccblCy/gfr8fDz/6KNasWZP2+aYGy08DeAHUPoo+APPDP2pQau4KzfhKNwoEdJMQxPxn6gCdJfusUontSaahNPiEw2HMzc3BYrHIZuBW4h4uLCxERUUF3G43CgsL04yHUwfRa2pqMDw8DJvNhurq6rTNSao5MwDMgbJEAWD71q2479gxKKQMS8gFyFdKDCEV1dXVsFgsCAQC8Pv9aYooxcXFGe2lLhQwlSan08kFvZVKJSorKzPOmLKkwGaz8RGJQCDAbbEuZFzYZ59EQUEBp/lOTU3h9OnTfIZNKsZrsVgwODgIj8cDs9kMhUKRNh8Xj8ffsJkVpowhBVsYjgMIg2qCfgpU+1AE8M7k4/pA7WtCoLuXqeTPP4D5ecOf/Od/wu/3w2AwoL6+ni9SN910Ezo6OvioBLN0ktrJ3AIa5C4B8FnQQPdNzLsh3APqV/aVL30p7X21trZyDdEbAHSDSlgZk8/tefVV7qCwEjAajZiensbU1BROnTrF38NtoJ59twH4kSji6GuvYWpqKqPqfKrW5F7QYCN7d2rQzK8KKxb0AHkwUCT/APOjAR/F/Gf69B/+kGZFxMTCMy3IJKnTmU0nNBcwmSuPx7Oo5iNzCCCEpGlMAvJ7Yy9oheKHAL4oCOjasQNP//GP2LB5M+7AvGvClaCbkPOtl8lkzIDsDiMXatAjhMBoNMJut0MURRQUFGDVqlW45JJLUF9fn7ZBmZubw9mzZzE7O8vF8dVqNRKJBNcdvpDxpgh8ALjqPkA/ZI1Gg9bWVtTU1CASicBoNGJ2dhaEEFRUVPBFX6/X89KmRqNBS0vLG6K+ngq3241AICBbGH6f/N3lAKKgH9YG0HmqB0AHh6OgJbAvKZXYfs012LdvH3p6evCDH/0IDocDQ0NDCIfDsnIqQ01NDdRqNSKRCKxWK888LgMtN5lBMxBWhvoy5hejzaDBbN/+/TAajXC73ejt7cWzzz6L4eFh7H3ySXRu3ozTAB4BDZQtyXP/0AovYCzrdDqdeCWph1onOX9I3sP09DTcbrdsuFsa8N+TfM7bku/vKHtQBWjAW+F1L5FIoKSkBLt27uTBQAB17PiO5DNdaDi/uLgYGzZsyLhr9/l8GB8fx8zMjMzTcSkoKCjgVRMm6bcQWImTeeWlYu+TT3Kh6lbQ+2pDsuwuFSD/OYA/AfgW6GVnn+FKiSFkAlsXvF7vgoP08Xj8b7rkybI1khzTZspB5eXlaG1t5aIY0jVBautUWFgIhUKBgoICNDU1YcOGDaipqZGtlxcy3hSlToampiZUVlYiGo2irKwMSqUSTqcT09PTfCC3oaEhrUbd3NzMRWCXO/B7LrDb7ZiamkJ+fj7a29u58PRDybKbFTTg6UED3Q7QLOrLyT/AvFRXRUUFjEajTOVhamqKu0ewDICVWOvr6zE+Po65uTnu4fU0aIlSA6pO/4zkXN8G4KfJv6eTP/vjH/+I//vf/5VJWu3u6sKdd9+Nl48cwTbQSuEdoMGa4bb3vQ/7Dx0655In+zw9Hg/vUxwBbb8lku+B9YmYBqvZbObvlwX8ZgC9mA+Wb5O+yArfFolEAjabDVarFYlEAg/94Af47Kc+lVF+LZfrk630VFZWxoWnmd3QclBTU4NgMJiT3mNhYSG0Wi1cLhdmZmbSnLxT9WWlZXefz8czYDVoed8NYBY0Awdy08ucm5uD2+3mQTjX0lx+fj7Ky8vh9XoRCAQyZnhOpxOTk5MoLy9P8737ayMSicBms3F/QrVazdsYzFcyFT6fDxaLBYlEgkvbKZVKtLe3yxRv3kwD7G+qwAdAVpe3WCyYnZ3F5OQknE4nrr766oyNWaVSuSQB15WGVqvlbuCvvPIKgsEgfvjII/ghaHD4zJkzMlWJ/xAE7NqxAw8/+mhGhfuGhgaYTCbo9XoMDw/D7/fzHtjIyAh8Ph/i8Tj0ej20Wi2USiUXwL122zZ878gRlIoi3gka9O4BJdp8KPnvryR/fiD5ek8+8QRGzp7Fg6C+eAOg4tRMIullUILOMVAfww2gqi73njmzYj0bnU4HnU6H5uZmdO3cie8//zzykio1ezHf87z66qsxNDTEVT4ikQhf3A6BBvwSUNfwP2R+qXMCs3OyWq08A2Nu3pnExpcKt9uNSCQiW+RqamowOjrKXTgWUqbJhvz8fL5pyAXM/WNubk7mmCCFtD84MzPDlYDa29u5APlDiQT0oBumHwgCrkp6UGaDw+GA1Wrl2ZrdbseaNWuWtLmqr69HY2Nj1spPYWEh741LPTL/mvD5fLDZbPB6vfxnC5Vl2QbYarXy6gezOmLPe7Ppc0pxwUmWLQVjY2N4/223pWUiue6i30hMTEzg9ltuSTvXR3/6U9z18Y+niR+nvodYLAa73Y6amhqZLBZbTFQqFTo6OuDxeDA5OQlBENDR0ZFW27fb7bjj1lvl1kKgwaMi+fcdAL4H4FtKJZovvxyvd3fjxwDeDpoYbQDwZPJx27duxelXX4VXFPErAJcCiAFoArV8ySbbdi5wu924/ZZbsl4zJvwdDAYxODgIQgjuvesu9B4/jodEEV2Yl61q37gRR48do422xaz7GCFfmlyYADwGnDhxAvX19TCbzbKAV1NTg4qKimULCEsRDAYxMDAAhUKBjo4O2cI1MDCAYDAIg8Gw7KxvqZidneV2OIsFh0QigZ6eHiQSCe7LmPoZKjCfjWf6DgQCAQwODgIA1xqtq6tbUesyBsZezdXq53whFotheHhYVrovKytDdXV1xs0GsyqyWq2csMK8+/R6fU7C/3Nzc7Db7WhoaPibCPrLwZumx5cJd3384+g/flxOWEja5Pyt4c6PfQy9SSHgA6DMzdcOHcJdH/84nnnuOZw+fRoPP/wwnn76afzu6adlX3hCCDeuTSUxMBX8goICiKKIyspKFBcXQxRFTE9PIxVVVVV47uBB7NmzBwANAMzk1Q2qug9QtuOmHTvw6c9Q3uPfgfI9EqDZHOvHfOLuu9GS3KVfC1quBWj2xyhEK92zYaW0bOLVrOzFXMdLS0vx5G9/iy07d+IjmO9jbtqxA1//5jdze9EIKMXWAcCb+SHhcBjxeBx5eXloamriRsErEfQA+n5KS0tBCMHRo0d5vxWYJ6gwk9nlghACm83G/SoXQl1dHVatWpXT4qhUKrmvIbPgYZ/hlZdfjmKFAl8D7Wdn+x7n5+fzz3bNmjXo6Og456AXDAZlvS8GqbnwXzN3UKlUEAQBSqUS1dXV6OzszCjWzTA3N4eZmRmeqdbV1eGSSy5BQ0NDzm43JpMJbrf7nAhTf2286UqdDEajEc8eOMBno4IAbgFW3CZnJcDIFb8CJZZEQZv+D0vO9dJLL0VxcTE8Hg+mp6dlfROFQgG9Xo+pqSnurQfQ3V1+fj5aW1tl5a3GxkYMDAzA4/FkNRjdto36KkyDMkenQWnnx5K/P3DgAHbu3Amj0QiAOmz/HegGowDzvbzLL78cTzz5JNra2vAygBtBxxuOSF5rpccbGNiXeaEydltbG+/rZio1Pv3007m9mID5SB4HpbymVJoMBgOKiopWNNilIj8/Hx98//szVjlWotcXi8UwMzPD+3HZFtjloKqqCl6vFzqdjgcwQghOnDrFKwoKZP8es5aFw+GA0+mUnVsuPn+pmJychMPhyCjQzLwFY7EYvF7veckqsyEajfKAp1Ao+HhOagnbaDSiv78fjY2NuOKKKwDMe2mWlZVBp9Mt6z6srq7m7ZPUCtOFgjdtxiedjXKBzkZN4o1hhi0V7FyvBS0BAjRxeHvy3+xcGxoaIAgC5ubm0ijFlZWVKCwsRCKRwOjoKPr6+jAxMQGj0YiDBw/KGJQFBQX8i5pt19ba2kr9CAUBD4HSzp8F8O+CgJtuvBE7d+7kj2Ms1D8BKAUNevcqldjd1YWWlhbZY24EJZA8CNpTOx/jDQxut5uXdbIhlczExj10Oh1u3rUL7373u9OfREB3Uj7Jz9ioQ2Hy//70p2k0mmUvNpmQKdP42Ec+wisHRyHPjmpra1FcXHxOwUqj0fAgkAvDE6CZ7sjISNYRAQaFQoGWlhbZRoV9N/4OdC9RDLq/yPY9ZufmdrsRj8dBCMHExATOnDkjs+vJBcx42Wq1pl1r6SjUG5n5OJ1O9Pf3y669RqORBT2Xy4WuHTvQ1taGd73rXbjyyiuxu6uLW1g1NzejsrJy0fswHo/D5/OlvXfmWxmLxdJssS4UvGkDn3Q2iiXwLlCrGOCNdVJeDNJzLQFtJa0FHUQH5s9Vo9Fw0sLMzIxs3lChUHD7l0AgAJfLhX/98IfT/NtcLhcsFgu/YbOpMDgcDnzh/vvRuXEjvgy68NwP4OqdO/FE0nGbQUpPb0Jm30LpeMPDoMoc5cnjno/5rFAoxOf1lkNcYnN9D6YdGIAdVIbGD5rdMeSDfoAATdsj8qd6PB4MDAzIPA1zRTgc5mShRCKByclJ9Pb2yhYlVjn4vijiJtBA8U+Yv742mw1tbW3nTEc3GAwQBAGBQEBGpsiGYDAIr9cLi8WypDIrIYR/N14BVQ9aA7rHkKq5SBffwsJC1NbWoq2tDSqVCgqFApFIhIscLAU6nQ4qlQqRSIQb1krBguzc3Nw5lY8XgtFoxLPPPouBgQGMjY1hYmKCexemBiRGWHnXO96B1w4fxoMA/gxKKFtKiycSiWBqago9PT0YHh5O2+AoFApZqfdCxJs28EmzjP9L/mwfgC8IAm684Ya/mTInkD7UGwedX5JmTQwGgwF5eXmIxWJpNyT70ufl5eGbX/86eo4dk/U3jx08iH94xzv4YDEz9gXmv2As+ITDYRQWFuKxn/0MJ0+eXHCWLLWnNjQ0hF898YRspKKiogL/LzmfdR0ANnFmw8pm4aFQCGNjY+jv7+clIcZYXQjS9y+d69vNHsB6eG7QD0gBGuRSv0FKzGd9c/Jfzc3NceWgXOH3+zEyMoK+vj4MDg6ip6cHLpcLPp8P0WgUTqeTP5ZlRzeCSsUBdJaRXd9Tp07l/LoLQa1WLynr02q1vBqR63t3OBzo6elBQ0MD/248iXkBhVQ1Fylqamr4fQ1AlpktpR/HZMwAZKwaaDQarFmzZlEPx+Ug1Xh4/fr1eP9tt2Fubg61tbVobW2VZWw+nw+9vb148cUX8fLRo/isKOL9oKNP/wYq4LDY5jIYDGJ0dBS9vb180B2gfeFUUQ+WMfr9/kVFDf4W8aYNfIA8E7kS84Oy93/1q0sue5xvSM9VSq7471/+En7/fN1MoVBwWSq73Z42RFtTUwONRoPnDx/GI6KI20AzyGsA/Jso4pWjRzE7O4umpia0trYiEAhkdPbOz89HY2Mj2tvbcfnll6ephWQCKxM2NjZiYmICdrtddu7SzLYadMg8DuBHyd+faxZuMpnQ39/PM4CKigpZDy8TMjmb35ZcSLdBkrT5IA94emQOfACtxwE065PcZgaDgS8W0k1BJng8HgwNDWFoaEiWVUWjUczOzvLF3GKx8MVcen1rQeNvBeazo58kHcQTiQRMJtOSArAUfr+f7/RDoVBOwYT1FO12O1dTWgg+n4/3E/c++WSamssloKSrhaoFLHNhJK5YLLbk731VVRUUCgWXMUtFRUXFeWE23nHrrTh28CAeBs3aHgTQc/w4vv2Nb2Tsq6nVakSjUf6Z3gp6rRivN5fN5fDwMM9s8/Ly+FgDISQt8KnVar4BvhCzvjctuQVIH5Rds2YN4vE4wuEwxsbG0nZNf02knuvatWtRV1cHo9HI6elsV1laWgq9Xo+ysrKMTCxpfxMARkCrclck/y8IAi9x3n7LLTh26BC+AeoQPws6g/eB229f9nxdfn4+Kisr4XA4MDs7C4VCwd202XzWXCKB/wGVomK47+67s46aMCfyhebb2C6/oqICNTU1Czpyc2fzb30LPa++KtP1vPP0aSD5b04h8oJGkgLQTG7huEV/HwYQmP+RWq1GZWUl7HY7ZSteeWXa0zweD//8ALrR0Wq1cDqd0Ol08Pv9fNhbWoarqKhAa2srtm/dijuPHOGKO38CzY6aAbx05AiGh4dRXV0Ns9nMaexLXbgLCwuhVCqRn5+P+vr6nL5DpaWlKC0thc/nw+zs7KKD33V1dfB4PPD5fNDr9fjcF76Al3bvxi9BBQnKQC+tdEGX3hfRaBQmk4n3wvPz82Ui3rlCrVZDp9PxXnGqfqcUyyHQZAKrOPwCdPwnAeD9ABpFER84dAgDAwO8/8jaGwUFBVi7di3/DrwKYLXkmGzzs9Dmkm2a8/PzMT4+zjM5nU6X8bpVV1cjEAjwc7mgcF69H/4GEQqFuCWQ3W7/a5/OghBFkfuqjYyM5Pw8Zv3ymaR/mjdpRfRYii0QMxl9MGkDMwCQPoB8egXsg6LRKDl8+HCaryCzsxEAUpa035kCyK+y+Lll8qnb3dVFZmZmyMjICHeMZ1jMmy/T8aSWSx6A/AAgQvJ8vid53Ln8YdcyEolw6yfpuQcCATI1NSXzQ5yZmeEWWswjjhkGnz59OqMZ81NPPUWElNeW/v+qK64gLpeLDAwMkO7u7jSLpkyf4/T0NOnv75f51C3Ho435+3V3dxO/37/o49n76+vrI4ODg/yzCoMa/3ZL7uk9e/bI7tdoNEoGBwfJyMjIOZtKh0Ihbnqcydg3FAqRoaGhFTOpZa73U6B+jJ4Ue6Yf//jH3CA2k8Uas7jK5JUYjUbJ7OwsicfjxO12E5fLJfOiZHA6nWR4ePgNs2p7o/GmHmDPBo/Hg1Ao9FcdPM0VoVAIAwMDIITInCakiMVifJbH6XTivf/0T3j+xRf5768H8B4AX1QqsWnHDvz+D3/AzMwMnnnmGdx77714DjQjuBdySbGrrrjinCTFbrj2WnS/8gq+IIq4BZSgcI9SiQ2bN+OlI0ewF8C7QNm2alBJqtSB9pt37cJrhw7hR4kEtoG6PHxSENC5cSMefvRRqFQqXHLJJTln7tLjJUBFvadAMwgTaBZhASXdXHXFFXj9JDcmwpbNm/GxT3wCbrcbDQ0NaGxs5OoX1dXVGYlCTDVo+/bt/D2Nj4/D5XIhFotBqVRmzBKqq6tRV1eX9jtCCPr6+rg6i81mgyiKaGlpQWlpKYxGI9ra2vAQgN+ACoN/E7TUP5q8/pt27MCTv/0thoeHIQgCOjs707K+WCwGq9Uq6/WsXbs2p34pkD1Dn5iYgNPphFarxerVqxc4QvpQ+wduvx2vHTqEhxMJtALYDyqk4MfCg+0rAZ/Ph5KSkoz3WTwex9mzZ0EIQXt7+7IzoGg0iomJCfj9flx55ZX4HoAOUKJbM6jm7X0Afv/736O1tRWrVq3KmIFmEnDo2rED33noISQSibTSdFFREdra2nL+DiUSCczOziIvL49rm15oeEsGvr9lEELSbkCz2QyTyQSlUon169fLyg5OpxNTU1Ncsmt3VxdOHzuGzyaDzTEAd4JW3nZ1deGxn/2M07Onpqbw7ne/G78CXSRfA+23sZIfWySXU/JkC/A3QH0DVwGoxLzyC0ADThXmXQhKQUuL+/btw0033cSPwQKkCbTiuA+0X/v888/j6quvzlkxX3q820CDQhvAvQ8B2rJ7BXQTwGYUpXN9LpcLgiDwcRCHw4HJyUmoVCp0dnbyfmImT0C2KJeXl6O/vx+nTp1CVVUV79dVVFSgsrKSL7DRaBR2ux1utxuNjY0oKCiAWq2Gy+VCKBSCXq+HxWKB1WpFaWmpbLNw9OBBeEURPwMtlwF0Ef0d5jcXjB2o1+u5pmWmgFdUVITa2tqcxiAWet8VFRWIRqNwu92oqqrKqSxos9kwPT3Nh63ff9ttsmOrAXwbdGN3rvfsuYBtZiorK3n5cSGkbgykmsLhcBjvfsc7YJOMLLUBmFUocOnb344nf/vbjJuiVAwPD+Ps2bMoKyvLuhEwGAyora3NOegx/VW22T4fxJ43Am9qcksuEEURs7Ozb5gVUTYQQjA9PY3+/n6Mjo7KSCts8JnR2KXQaDQQRRF2ux379+/Hy0eP4nOiiH8FpX7fBuBRUEujHz7yCGpra1FQUICSkhLcdNNN2N3VhbsFAftAg57UyudcxgxYn2pX8v8myJ0eALpQ5WPecDR11IQdox1U/5NRPFiQkupsMqSyUzOd0zZQngoBsAXA10FnFBOgBr4PSNi0jLCj1+sxMDCA8fFxTE9P812zTqdDfn4+4vG4jPnHxiEeTx7zYcxTyhUKBWpqalBdXQ2Xy4WSkhJceumlWLNmDQ8uk5OT6OnpgcViQSQS4R53AGVJ1tXVQaVSobq6GjU1NbLsae+TT3K1nJ2gYyOToHqpzK1vZGSEK6XY7XbEYjFEIhH09vbCarVCFEUUFRWhpaUF69aty3n2L6O9k4RKr9FoMjqFZENVVRVnMQuCwNnDjz32GAC6AdoBSuY513s2FxBCMro2MPany+VacC3JRKa6bts2nD17FolEAkVFRXjwgQcQ93qxF8AEgG+A9t41paV44je/4fO8i51nIpFAU1NTxqCXl5eHtrY21NXV5RT02D04Pj6OWCyG/Px8rF279oIMesDFwIexsTFYLJa0gPJGgC2ekUgEg4ODsNlsCIfD8Hg8GBsbk1mKNDU1QRAE+Hw+2fB6SUkJL3/OzMwAoMoWzGUwBBoAAbrYsSHh1tZW5OfnyxbJbZiHETRYsuctFYxh2A8a2NaADsEzBuf2rVv5+EYCNIv7miBg6+bNUCqVMpX+M6BkSi1o1jKePIa0UZ9pQbl51y7ZjJeU9agEDX5fByVL3A8qGPBBpM8gjoyMYHh4GMFgkBt3Sj8bxlhk+ofScYh/AiV2bgHwPcmiXFFRwWnp5eXlsgWEEMJnzpjSC0Czy9QCjUaj4X58DBUVFXgief77QDP+fwTwL6AbDwF0oS4tLUVRURFEUYTFYkFeXh4KCgqWFfAAub1TLhuobEFECjafum7dOr6At7S08Ax1E+j1tSUffz4FKiKRCPr6+jA0NJQmY1ZcXMxlAaUjJqmQbgz6QMvQJ48exf1f/CLPvPYfPMiv4SoA/wrgqwBcXm8aizsajWJmZiaNXatQKJCXl8dHMqTBr7KyEu3t7QsSdRgIITCbzejr64PP54NCoUBtbS3Wr19/QdsTveUDH6MGu93uBRU+VhrRaBRDQ0OYnJxEf38/gsEg38EDdAhdumgzBX+9Xp8mj9TY2AiDwYCtW7cCoIyuBOjM0wCoizowHyiyLZIvgw753wxaWvlA8jHf+da3lqzQwGYT71UqcQDUQLcNwEPJ32s0Gly5fbvMk+2STZvwtW98A263Gy6Xix/j00olzoJSkH+HzPONi2Uafr8fKpUKN914I+5RKvEEaJlsAoBFqcT2rVszzirG43E+TqDX69HZ2Ymamhq+404kEnyhE0URfr9flllKM9q25N9sA8L6I6nKIIIg8IBTXFyMpqYmqNVqxONx2efg9/thNBp5JgjMb6b49Qc1Nf53zA8zlyoU3EC4trZW5sC9nIDHkMomZsgUjCKRCPr7+2E0GjNqYUohnTdlYJuYMVD9WDYXyqQVFspEYrEYzGbzkgfaWYshHo9nDG6LDXVLNwbvAt2U3gjg86KIo8eOwe/3cw3UyyXP0wH45+S/pdfQ6/Wiv78fVqsVRqMRZ8+elW0k6urqsGHDBjQ2NmLVqlUoKirC2rVruQh4LgiHwzCbzSCEoLS0FB0dHResTJkUb/nAV1RUhIaGBgA0Y1psvupcQJIu8JFIBE6nE4FAgPtmlZSUYP369fwLq1Kp0r7s1dXVqK+vTytzKJVK1NXV4YorrsDuri7cJQj4NoCzoLNO3xcE7Nq5M+sYQKpj+muALIAsV1KMzSbeCWqsyko3ewGceOklqNVqmZD0K0ePYuPGjTAYDIhEIojH4/wYH4R8vpFlZEajEXv27Fkw0zh48CCGhobgdrvxw0ce4fOSbZjP8J7+4x8zzipKd9harTZtQVUqlXwurbKyEmVlZbLMEqAWR8D86AbbgOh0Oj5/lSpBJzXXJYSkLaqxWAzj4+Mwm82wWCwIBAIwGo2yysVXH3wQEVBSxMdAA8Q2AN8nhGdgpaWlWLVqFXdyOBc/ytT3zZCJSq/RaEAI4T3FXBGJRBCJRPg9+3mlEodBKwuXA/hs8nE33nhjWsYfDocxMTGBnp4emEwmeDyeJQ20MzNXILOMGfO4DIfDGdcR6cagELSCUQVaoQGo4wMLrn+AXBRIeg1J0t1+ZGSEl1Xj8bgsIIfDYdhsNn6/KpVKrFu3LmdyEkNBQQHq6+vR1NSElpaWN49V0RvAHL0gMD4+zmniy6Fq5wJRFMmZM2fImTNnyNjYGBkdHSUnTpwgJpOJU8VFUZTR2FOfPzU1tSBlf3h4OG2EYHdXF3G5XAuem8vlItu2bk2j95MkHRrLHG9goxWPA2QGIKcAElnGMY1GI9m3bx8xGo1kaGiIPPXUU2T7NdfI3ueU5JwDAHk5+fOHH36YnDhxgkxMTPDPVnq8xTA2Nka6u7vJ8PAwicViZHZ2ltO/RVEkk5OTxOl0yp6TSil/CCClgkCu3bZN9jiz2Uy6u7tJb2+v7OeiKJKzZ8+S7u5u4vV6ydzcHOnu7iavvfYamZycJCdPniSvv/46+c1vfkOOHTvGH3vixAl+L0lp8QQgo8kRgFeS12Xfvn05XfulYCEqfSrYaMbJkydJLBZb9NhOp5OcOHGCf2Yul4uPprDxmF8lX3dvhtc9c+YMH6fo7e3NOJqwGBKJBDl9+jTp7u4mbrc77fdWq5U4nU7Z6Ach9PN89dVXZd8vMeX79ac//Yl0d3eTLZs3k3JB4O8l9RrGYjH+eU9NTRGfz0fGxsaIy+UioigSq9VKTp48uayRrXg8TiYmJkgwGFzytbmQcGF2Js8DGhsbEQqFEAwGMTY2tiR6b65QKBRYvXo1hoeH4XK50NDQgOrqar57VCgUsp6RFLFYDKOjowgEAvD5fFi/fn3G86usrMTDjz6KqakpPvieizwbkxR7effuBUtVS5V6Y7vc7aCjAglQoktD8vcvvfRSTsdsaWmBTqfjjEEBVDhlL2iP7lrQTONW0PKXB8CLyedu2LAhzZ9OaoK6GGpra+F2u+H1etHT08MHlQ0GAx9XiEQi0Gq18Hq9MJlMeOxnP8NH/+VfZI7qWzZuxFceeACRSISfS1VVFSwWC8LhMPx+P++7sN4WGygWRRGxWAw+n4/v4tlwu9vt5uMITGkEkGdgt4FmngoAh5Pns5J6tbFYDOFwGI//+te449ZbMzrJp0Kr1cJqtSIYDMJkMnFFomxgFRCfzwev18tFHw4cOICuri58EbRPyzL+VAcHRpIpKytb9ntnPTOWaae2HVhGKEU0GsX4+Dg0Gg3tbR87BpI0ln4RwD2CgC0bN6KmpgZ5eXn4zW9/i3/98Ifx/izXUKVSYc2aNYhGo7wkX1JSgmg0iuHhYZ5tMtGAXBEIBDA+Po5IJIJAIID169cv6dpcSLgY+JIQBAFr1qzBwMAAIpEIwuHwgsofDKIoYmZmBnV1dTmViUpKSlBXV4eZmRlORiHJEihj2aWC1f7Z3NdCahnMcqS9vR1NTU05U/2B9IWSIRfVh1yO+Q+gwtv3gjoHAMBHPvIRPP273y04e5WqsvI9UD/AH0vOczeAu0G3zqtAF5TvCwK6brgB11133ZLPW4q8vDyuuCKKIgoLC/msFutPMZFit9uNYDAItVqdpsQD0EXbYrFwyrtSqcSqVauQn5+fdr9JFy2Xy8VVRKQoLy+HVquFWq2GXq+XBffW1lbcdOONuOvQIQRFEbtAr/tnlEps27yZ94tWQrfWZrPBYrFAEAT87umnMTMzk5OTfH19PYxGIxwOB6qrqxe8X/Py8vhGcWZmBqWlpVAoFLzc1wE6tuMFnctkG7Zb3/c+HDh0CPX19RgcHITX60UgEEBRUVFWA+eFwDYrTMZsIZKIdExBEAT8189/jnvvuittQ/TgN7+JyspKztiU3jvNzc0oKSmR9UKLiopkrZDU16mvr0+zUsoGQgisVitMJhMIIdBoNItuQi50XJzjS4Hf74dGo8lZ2sjtdvOG9GWXXQalUplxFi8V4+PjOHXqFGZmZtDR0YHt27dn9NM6ceIECgoK0NDQgIKCAjQ3N6fV2VOlktjNv5yMlQ14P5zckTIn8nOZjZIe8yegtkRfxeKzV5lm9oeukwAAaY5JREFUwvaC9kZ2g/YgK0GFmItAsz2pBNpKDjMzgeXCwkKZiIDU9bujowMKhQJ9fX0ghGDdunWyxcnv98NkMqGmpmbJjDgiGVxnUCgU0Ol0fLQh9XxtNhuGh4fxhc99TubPV1lRAYek97Wc60QIQTwe55lmIpHA6aTUm3SmMBeMjIzwDG4xKbNEIoHe3l7E43GsWrUKlZWVfD7zR6Cye/kA1gN4ArQnXCYI2LJzJ5557jk+QF9ZWYnGxkb09vYiGo3yY2V6PbvdnrbpYF59mRztRVHkgYShqKgIq1ev5t9dFtTy8vKg0+mwatWqjJ5+8Xgc4+Pj8Pl8EAQBHR0daWvTzMwM75MWFRUtacPLhuZZllhRUbEk8suFiouBL0dkU6JIJBLcCaCsrAyFhYXw+/1oaWnJGnhcLhduv+UWPHvgAP+ZdPHJ9Ptrr7kGv3v66bQdv8vlwvT0NJqbm3OiJy+GTKoP5xpAUo/5IOhAekfy92yoXarYAmRXWQmBElP+HfMMwkrQwfM7AOzZs0emlHK+wRZurVaLpqYmGI1G+P3+nEpqqfcVc8bOBKfTiYmJCQDg4xCpC5woirDZbLBarTwLzc/PRygUgt1ux9e/9jX0Hj+Oz4gibgYlhSx16NvtdmN2dhZqtRptbW3854zuTwjhSjK5IBQKob+/HyUlJVi7du2iM2rSofaOjg4olUrcvGsXjh08iE+JIi4DnVu8H3Tc4RbM319NTU3c7FahUPDsUa1Wo7OzU2aA63A4YDKZ+HWUbmQikQhisVjG7xwhBGfPnuXPq62t5QLlsVgMCoWCb1QSiQREUcz4mUsrPYIgoLGxMaM6ECM2GQwG/jq5IBwOY2hoCPF4fMHjvynxV+grXjBwu93k1VdfJTfdeOOCZJFAIMD1F9mfhTQQGQFgb5ZG/O6uLlIhCOS7AHkGID9O+b3P5yMjIyNEFEUyMTFBuru7SU9PT5reXiKR4JqWS8VSyB+5Ys+ePQQA+TNAxiVEFKZBKCVbMFIMIwIMJR/z3wAZA8gWgJQC5GtJssbPFiBRnG8EAgHZZ8/+LHTdM2mGXrdtGzl8+HBWHUtGpAkEAlmPyYgXjMDhdDo5GYpdU6bNehog/chdm3Vubo5rfGYjgjF9zd7e3jSCx0JYCplCFEXS09NDuru7yezsLCGEEl2uuuIK2fW8CVTrMtP9JT0WI4pItVOlmqqMKLIULU63201GRkZkn6Xb7SanT5/O6ftosVj46/f29squTzweT9MfzUSGWwyiKJKhoSHS399PwuHwkp9/IeNixpcFJFlaYo7WPxbFBaW87HY7pqamZMdYs2ZNWpaUKpvFwLKe/fv3o6urC3tBZ3fCmCdx3AHg2LFjnApeV1eHqqoqnnFWV1fz0QyA7uj6+/sX1Pl8I8He+4OgQ7msA5Ep43v22Wexe/duTGGeCHM96FjEp0Fn/x4AnVNkOF86jblgbGyMU+fVajUMBgMqKyszZi/xeBxdO3bg5Cuv4FHJfXVnUoP0l3v38t7oUuByuTA+Po68vDzU1NRApVLBZDIhFouhs7MT+/fvx+7duzEJYAaU+n9U8vxs2qzhcBizs7PcskYQBOj1euj1+rSSmLQU2djYmHOfaanweDwYHx9HTU0NN2dm99cHAfw9gI2g1lep9xezO6qurkYikcDU1BQikQgKCgpkhA7WsywvL0dfXx9EUcz4nWY9xmzlQVEUMT09zecGCwsL0dramvXxo6Oj/FprtVqsWrWK30d+v5+rp6xfv35JPXyAZtdssB2g96JSqbzg5/KWirf8HF82sKb50ddew6dFEddjYSWKqqqqtDLBxMREmjLFYkO++5PlwG2gA9asE3RN8u/jx4+DEAKtVovq6mpOjgBoCUg6P5Sfn8+FuKenp8+bS3SuaG1txY033IDvCwL+DImpaIaB9EwzYY+AzqJ9GcD7QIPe9q1b8dRTT2U1yV0K7Hb7sqXrVq1ahcsuuwz19fXo7OxEdXU1IpEIpqen02a6zp49ixdeegmfFkW8F/P31b+LIo6+9lraIHImEEJgt9tlg9QVFRVYvXo1mpqa4HQ6MTIygmAwCFEUEQwGZW7mXwXQA6pcMwr6OYyeOZM2r+n3+9Hf388X4srKSnR2dqK2tjbjwq1UKvk9ZzKZlnw9E4mEzGMwG8rLy7FhwwYe9ID5edSnBQG9oOpD0vurubkZZrMZvb29cLlcGBwcxPDwMCKRCFQqFWpraxEMBjnpzGAwoLq6GhqNhr8OM3FmsNlsOHv2bNZZxGAwiP7+fh70DAYD1q1bt2APraCggPturl69GoIgcBLd0NAQotEo1Gr1kq+t1WrFwMAAf38AuEv9Ww0XWZ0LgDWnLwel4BdCzhZLpfc3NjYiGAwiFAoBoDu90dFRtLe3Y2RkBKOjo/yGlzInEwB+m/w3a+5Lfx8F8FTy3w0NDaivr5epopeWlqKqqgp2ux0TExPo6OjgOzqDwQC3241QKITp6elFFfHPJwgh+M3//A9uv+UWfCgDVVva7+JD9YcOcep3NwC7IGD71Vfjc1/4wqKMwaUiGo1iampqWdeIfa56vZ4bgrLFzuVyyQSs2SJ5GQAraFYCUF1NgG5SLBYLmpqa0l6HEAKn0wmz2cwXwIqKCj447Xa7eZBiA9cGgwEqlYpf0zuTAtZMnFuJzPR/gJIlmClpXV1dThkGuxfD4TB8Pt+SNiODg4MIh8NQKpWLZouZ1Fn2Pvkkbr/lFnw55f569Kc/RV9fHxckKC4uRm1tLSYmJlBeXs4Z1WfPnoUoiiguLuZkk3g8Dr1ezx0xpFCr1Vwr12AwpGX4ExMTiEQi0Gg0aGpqyonUVFNTA61Wy691MBjExMQEX1cqKytRX1+fMwElFothYmICPp+P/5/kQMB7M+Ni4FsAbIc8ApppjIMKJmej9wuCgObmZiQSCajVagwMDMBqteKuj38cL77yCn+cXqfDPR4PSCKBtwP4X1AhWm1ZGbq6umQL/lWgMl3fFQRsffvbccMNN2QkDdTV1cGb1PKbmZnhdGQ2DzY4OAiXywWdTrcsOapzRSQSwcTEBLRabRrNX6fTZSTUPPrTn+Kuj39cPhO2c+eKlDNZcNLpdCguLuZqG4FAAAaDIadRlkxwuVyYnJzk1HNBELiANVtc2X11ClRcWQ/6RWT3VUNDA1wuF1+YR0dH0dzcDJ1OB7PZzJmdarWa0/Cj0Si3rwLo4siMRaXY++STuHHHDnSfPIl3gFr6RCEXEJdu6BQKxaIZSirYPScIwpIteqqqqjA9Pc0/m1zErOfm5uDxeNDQ0JBm6FxXV4e8vDyZMo607C/dJAJ042I2mzEzMwNBEDA7OwuVSoWWlpaMG5HS0lL+GTN3BgZCCA9Wa9euzemeSiXNWCwWPmagVquxatWqJamveL1eTExMcALLUsYc3sy4GPgWANshP3DwIP6fKKID1APsO4KA3RIJMEZ1r62tlY0arFmzBp/42MfQ95e/yBy+73K7EVEqcYekVNEGwOLz4d677uK7VumCf83mzfjt736XNWgplUrOKEzdyRUVFUGv18NqtWJychLr169/Q+nKdrsdMzMzEEURkUgEOp1ONkDO2JvSa3TPoUO46+MfxzPPPYezZ8/ixRdfRGNjI2666aZzkk2KxWKwWCyw2+1cJLmtrQ35+fmcWWc2mxel1WdDUVERCCEoLi5GfX09otEoxsbGYLVaeU+M3VcPHTwIIoqIAxhCsiS3Ywc6OjowMzODXTt34vDL88XeLZs24cFvfhNarZZnBSzr0Wg0PEPJxPZkYNqsbW1t6AZl17LQlG1DFwwGIQhCmoTeQlguw7iqqgo2mw2RSARWq3VRz8x4PI7h4WGuJcmCAru/mG2UFNLvR2pg1ev1cDgc3I0AoN+taDSatolwOp2YnZ3NqjWqUChQWFgIjUaT0/eNidPn5eVxgQpCCAghqKioQGNjY85uCMx1hum4FhQUYM2aNUvuCb5ZcZHcsggy0ftvuvFGPPGb3/CsY2pqCna7HUqlEpdddhlEUUQikcD4+HhGIsv3QIkF9wFYDRr0rgctZ0qb8GzXWltbiw0bNuS0+5WqgkghiiL6+/sRi8XQ0tKyIqMPiyF1RqikpARNTU18AWHkmyuvvDIr2Yddi4MHD2JgYACdnZ24/vrrU19qUcTjcR7w2ELFxASKiopkmVpJSQlaW1uXdHwpTT0cDiMvLw+EEAiCgOnpaWi1WszOzvJSbmVlJd77T/+Egy/MTx4yco4y2ZPqSZKqNoKWwr8nCLhq2zY8e+AA7HY77HY72tvb+fXMVr5yu90IBALc0QDIfV6TjQ4UFxfLRheWgkgkAlEUc86i2WxsNpPcVLA5tvz8/DRFI4/Hw/vqgiCgpqYGer1+wTIfC5YKhQJVVVWcKCQFm+MD6GB9fX19xjm81BnbhSAlBjU1NUGn04EQAp/Pt2SNzWg0iv7+fiQSiaymxm9lXMz4FoG0dDI0NIS2tra0vhLbRSUSCXg8HpjNZgDgg+2pRBbWndsB4BJQyS0F5ktNL774IgwGw5JktRiyZUOCIGD16tVQq9U5D+efCxwOB2ZmZvgwfV1dHZdzkvYsjh6lvMJsZJ9Tp07hvrvvTnOTfvK3v8253Gm322Wei0VFRairq0NJSQk35GXizyUlJUvu8TkcDkxPT0On06GxsRGRSARjY2MoLi5GY2MjioqK8M//+I9ppdynfvc7vPbaaxgeHsaVV16JLVu2AKDB/uhrr+GXAG5PPv5OAPWiiA+++CKeffZZPjTtcDh4CTV1Mff5fJidnUUwGARA72WWtWWqKtxwzTVp0mIVFRWYnZ2F3++Hz+dbcpnc7XZjfHwchYWFWLduXU7PYecZCARgNpsXVRGpqamB0+lEOBzmw+kMUgJIe3t7ThlPZWUlNBoN8vLysn6fKisr4Xa7YTAYFgykSwk2SqUSBoMBMzMzMJvNvBy7HEd3jUbD7+OlBs23Ai4GvhyRGoQIIYhGo1xGiekHst2lSqXiowUvA7gKtFfYAkpoAKiHWIPkNdgSVFlZicnJSa4Ekg2MBJBpRxyJRDA5OQmDwQCLxZJx+P58IRwO8/ISs9VhC4jdbudGrgqFgpfVssmk/eTRR9Hz6qvYi3kpsodeeAG333JLzgPXgiAgkUigsLAQtbW1soUgEAjwoFdTU8N7ZrFYDA6HAwUFBRl38lLk5eVBFEU4HA6EQiH4/X4AtFd29uxZPPSd76Dn2LG0Uu7tt9yCvU8+iY6ODhlpgt1DTGiNgBKgGAlmYmICzc3NqK2tzRj8GTORZdpM01OacUk3dMPDw0gkEhkl89RqNaqqqmC1WjE7O7vkwFdcXAyFQoFAIACXy5XzSE19fT2GhoZykjJjTNLp6WnMzs6ioqKClxa1Wi3XQnU4HLKsdyFI3yfzK2QGwgDdPG3YsIG/jsPhwNzcHOrr6zN+H6PRKJclXKhcya4164n7/X7k5+cv+r2Nx+OYmJhAVVUVv78vBrzsuBj4loF4PI6xsTFEIhG0t7dDpVJh9erVXOezsLAQzc3N0Gg02HHddfiXw4cRkTw/D0C1VotPe71QJ0tNfwLw+aRYbVtbG5qbmxcMej6fD2NjY3xhLisrky0OrK/2Lx/8II68+ir/ubScFolEzkujOz8/H7W1tRAEAdXV1VAoFBBFEVNTU5x+X15ejlWrVnErpXsOHUI4kUAbqMj0vyX1JF965RVeBg0BKABARBFfTmEfMjCav0ql4ousVquFUqnMGMBYL66goIAvdsFgkJuNKhQKdHZ2Lpgll5SUoKysDF6vl2dGDz7wAA6/9BJ/zGWgMmsVkDMobTZbWgkxVTN1EEAQ1C4KADcCzXR/SHtarPTKPAOLioqgVCoRCAT4poxt6MxmM0wmE44ePQpBEGQbPYPBALvdjmAwCI/Hs+hGQAom9cWy7lwDH2NVqlSqnPpjqb1BaRZcX1+PkZEROJ1Ofl/mCtbHY+oplZWVPLAplUq+yWObHUEQ+HiRFGNjYwgEAtxCLBuY+Pn09DQn5ESjUczNzWVlhPp8PkxMTCAWiyEYDGLDhg1vacZmLrhY9F0GWEbAiAuEECiVSrS1tWH16tVoa2uTLZR5oDJdfwbwMIAChQLrOzq4L1wjaClrw8aNeOQnP8G6desWJXBMTU0hkUjA7/dzQWBpWae2thZfvf9+nH3tNfwQcnPW973nPRgeHsb09DRnnZ0LmJ6g9FipvRS28AB0N9/c3Mx3vnuffBJvv+EGfBh0XvEDoB55d959N4D5MmgBqE7nFcn/S005SVJiqre3l+/8WftaoVDwxZoQApPJJNO81Ov1sh1+NBrlfcDKysqcCAX19fUoLCyE1+vFpz/5SZxMBmx23acwX7YkmJ/P/NOf/pR2LKk/4l5Q5uVzoL1hBYD3vOc9+LubbspoDix9X52dndDpdPy9TE1NYXx8HDabjZc/GdRqNe675x78/d//PW6++WaZg73UIFmqP7kYWMmXZdSMqJErmpubsWrVqkV7fMB8gAPouEgsFuO/KysrQ0NDQxqDcyEwDVYWUNg4Quq5TE1Nwe/38+M6nU7ZazOwTNFmsy06T1tVVZVRjzMVhBDMzMxgeHgYsViMZ4YXg97iuEhuWSZCoRAGBwchimJGoVoA6OvrQ2dnJx4EcBOoLUwN5sVz2RdraGgIDQ0N2Lx5c9qcUDaYTCbeS2SQakNKVVJuAi2xlmKeNHLw4EHeSzkXCyaPx4PJyUnE43EUFRVl7eN4vV5MTk5i9erVWXeur7/+Oo4dO4ZVq1Zh9+7dGclBEQA/BPD/ME98cblcsmDGaP6VlZWy9xWLxTA2Nga/3897TpneNyEE/f39CIfDWT/bVGQS1N4Ner0rMH/dXwDwFdAhcoZUshS7Fnd+7GN4/eRJ/rNOAL8GNRjOpq/J3AYYgzSRSMDhcMBms8lMdcvLy2XqMDfv2oVXk1qXV4GW4e+TvEY8Hkdvby8SiURG9RIp2DwmIYTPm1ZWVqK2tjanIHYuGB8fR1lZ2bJVipiqC8u2GCGmuro6Y9AMh8N8fGh8fBx+vz/rPTMwMIBgMJjTPcV65MyNIlU1JhwOY3x8nG9gqqqqMppUX0RmXCx1LhMFBQVoamrC2NgYLBYLioqKZCWgQCCAl5KlrrcBaAbAfsuIG2NjY1i3bh30ej1Wr169pJp8TU0N9+Zj8Hq9MJvNqKmp4X0iNhQ9ASoKzV47GAyisrKS97gY+y3XPiCTemILREFBgYyEQAhBJBLh5deysjKZCHAmXHXVVSgpKUEgEMDs7GzGIfaXAHw3SfuvqalBf38/zzRVKhUPeKmv4/P5MD4+ziWaFhLzlZbHrFZrxh04IBeYvu/uu9NHMkCzvGdAfeIAKtVmAZ3b3A3qVHHv88/znmWmAApQBvD/BzpHugGZh80BGvSlvTqlUgm9Xg9BEGSSeh6PB8FgEIWFhTAajdi3fz8eBxVrCIMG2YdTXqO6uhoulyvrZ+hwOPD+226Tiatv37oVv37qqayWW7mABRedTrcooSkXYpLP50NJSUnWTQ8TAGDOFyxYi6IIk8kk88zMz8/nm029Xg+/389tjlKvU21tLUZGRmCz2aDX6xesJLD3ysq8ZrMZs7OzKC8vRywWw8DAAERRhEqlyurscBHZcXF7cA6oqKjgO1qpPNnc3ByGhoZ49mbGfNAD5g1S165di1WrVqG9vX3JjWhmaptaEjWZTPB6vXw3bwQttcZAJcJY16m9vZ0Pvb/7H/4BbW1t2L17t6zElQ1erxd9fX086BkMBrS3t3P2WSwW4yxYaZaRy26U9Z6cTieCwSD2PvmkrCR8B2gZdO+TT0KhUCAUCvG+yYYNG9J25oQQmM1mDA8PIx6Po7CwEO3t7YsuoGVlZZz1OTg4iIGBAb7JcLlcuHnXLtk1e27/fnwrkcBtkEjbAdgH4DjmlXeGQWXCPgfa97sdcgm8O269Fa8ePIifg5ZHP5N83t8BiIN+hoB82DwVzBZHWh7T6XRp2RarGEjNglkeYgOwOeU1DAYDOjo6Mt6rLpcL73rnO3EsGfxZibfn2DF85EMfynCFc4fL5YLX65WVr3NBpvm68fFxDA8P81EEALw/B4B70TE/S3bN5ubm0N/fD6vVCovFIispM5SXl3NJskz3ellZGYqKijhZZiEoFAqZGpBKpUIkEoHD4YBGo4FWq0VJSQnWr19/MegtAxcD3zmirq4OxcXFSCQS3DKmqKgI+fn5uPTSS3HTjTfi08lezRRome5uQeDalIIgLHsgmzkxC4IAQRD4bN74+DgtF3Z14T6lEq+BZhlPgbo9s9euqqrCA1/5Cnr+8hc8BHkfMFWzkcHr9WJkZIT3FNatW4e6ujq+e/b7/RgYGMDc3BxEUVxUczIVRUVFvEw1PT3N2YdGoxH79u2TaXIy7zGm2Zi62CQSCYyMjPC+VGVlJdra2nK+3vX19SgpKUFeXh6CwSDXabzj1lt5dseuWQnmgxsDC06/AZ3BY5nZu0BlwlIf9+KLL2Lf/v34nCjiclBfuQ8nfzeR/NsFwIfMw+aM2NPb28tn29gCzUgTCoWCB32Px4NQKCQj05Qn34sOwJGU18jk8Tg3N4eBgQG8+OKLOPLqq/i8KMqDfwZdW4ZYLIapqSmMjY1lHQIH0hf+XOB0OtHb2wuv1yv7ORvnMJlM8Pl8GBwcxNDQkCz46XQ6volLJBKYnJyE0WhEJBKBWq3G2rVrs95Di8m6sV6f3W7PWTvX7/fzAMxKmw0NDWhtbT3vpeM3Ky6WOs8RCoUCa9aswfj4OC/1CYKA1tZWqFQqPPGb36TNS23ZuBE/feyxFXn9wsJCnvnl5+djcHAQwWAQfr+fz2p9JIPkF0BLdS8fOYIHAVwLuuhl02xkKC0t5e7PqUOxjPJOCMlJKUIURU4MkqKurg4ejwd+vx9erxdlZWVZZxoX8g9jUlLL9RpjKvqsvxUMBnH8+HHs279f1ne8DZSwcgdoRlcFIID54PQDALtuuAFf+8Y3sHHjRtnoRgzA/yT/zYLK1aDZ3Qxoefp6AJ8CdaNYC+AAaCCVqgcBNINjWZxGo0FtbS1CoRDUajVnJJaXl0Oj0XAHALPZnFZSZqXaTyZLypmYs7OzszJhZra5eG/KNcwkg8YCtFTEuqysLOvno1QqUVtbi6mpKZhMJs7SXQjhcJj365hTOyDXEWXBWBAERCKRNFEHj8eDqakpTlapqqpCXV1dzqpHmQQFWCWhqKgop7763NwcRkZGoFAo0NzczLO7i728c8PFwLcCUKvVaUofrH5fUVGB3/7v/+KFF17gmdi11167ojM20lJHe3s7nE4nFy5O1cWULmKsxPV3oDNyjHIiXayam5u53Bbb8aeSYdiumJVHU61UUkEIgc1m44t0e3u7bAfNFm1BEBacG8tmDswWHLYpWYpqSCaoVCoEAgGcOHGCl3ezDdx/G8C7AZwE8ANBwFWXXYYnfvMbfn7SAHMJ6BjLdwUB12zejG3b6FGnQfvCflBD1X8GLY/fJ3m961KGzQkhPLuprq5GWVkZTCYTV2xhnx/rVbISNMv+Mg20M/HwVDgcDh70mLoJU9M5AnovMaRmpn6/H1NTUzIGcF1d3aKbksrKSthsNoTDYdm4QjYYDAY4HA4+v8fGdhQKBRoaGnjQS+3jMbC5uEQigby8PKxatSongWmAXtvZ2VmEw2G0t7en/X4pqkAlJSUoLCzkm9mLZc2VwUVW53mG0+nE5OQkCCHIz89Hc3PzX1UvjxACi8WCgoICPkOWTS7s1KlTvMSk1+uzDv8yhilbVBaaDfT5fNz/jCGVYZgJ0iCn0+nSGZRdXfjl3r3wer0oKCg4JzKFFC6XC7ffcouMsKEA8B8APpr8fwzAowA+mfLcTGxNt9uNW977Xuw/eJD/bNuWLfj1U0+hrq6OS4l9L5FADagjxfcBXAlKhvmKQoG2Sy/Fnp/9DBs2bJAt2MwJXqVS8TIaYyWmsoWZu3dzc7NMg1O6Saqvr8fMzAwMBgNf9I1GI4aHh5Gfn481a9agpqaG38+LyaBJZb5YXzaVebsQGAErVykzJremUqlk7hjs/SuVygU3REyzMxNRZSHE43H09PRAFMUlOdFnA2sv5Pq+L2JxXAx85xFsKBigi3tTU9MbKg6dCWwxUKvVWL9+Pd75d38nW6xeAPBvgoDLrrkG3/v+9wHQjLapqSnrF1gURYyPj8NgMCwqZHz27FleOqqtrYXZbAYhBK2trRl31JkCj16nQ8zjwY8kZbm7BQGdmzbhBz/60YouEDfv2oVjBw/i06KIS0EdFb4LOlaxB8B6JGfsBAEbNm7E177xDfj9frS3t2csEVqtVphMJkxOTmJ2dhZXXnklNm3axBf/TNqwW0EdOvSY35ScPXsWGzZskB0/FAqhv78fwHwmZjAYsl6HxaxpmJRbYWEh9Hp9xs2G1Ckj07lLH8OOV1lZibq6ujRWYywWQywWW1Cii/XjFtqISd9fb28votEoampqFtwMRSIRTE1Npc10LhfT09Ow2WwoLS3NypKem5vj9lOL3auDg4MIBAJpZtMXsUysgIv7RWSB3+8nJ0+eJCaT6a99KhyJRIL09vaS7u5uMjY2RlwuF9nd1UVA21QEANmyaRN54YUXSHd3NxkfHyfxeFx2DFEUidVqJaIoLvn1x8fHSX9/PwkGg4QQQqanp8ns7CxJJBIZH7/zhhtIqSCQHwJkCiDfS57jXoCQ5B8bQB5M/vzPf/4zCQQCS78whJChoSGyb98+YjQa+f/Za5kB0p388zXJtWJ/tm3ZQqanpxc8vtvtJt3d3aS7u5sYjUYSDoezPnbPnj0EAPlV8jWHk+91Kvl6+/bty/g8m81GpqamFjx2rojFYuTkyZOku7ub7LjuOqJVKsne5DnsBYhWqSS7u7rSnmc0Gsm+ffvIqVOnSCgU4j+Px+PE7/dnfK25uTly6tQp0tPTs+B95ff7icViyXq/SGG32/n1npiYyPgYdi+z99nb27vocXNBJBIhJ06cIN3d3Vnvx4GBAdLd3b3ofUMIIT6fj3R3d5MTJ06QSCSyIuf4VsbFHt95RFFR0XkpTRBCMDw8jIqKiiVLjgmCgKamJgwNDcHlcsk0G41GIwBw49JM80FMrSYQCCAejy+5pLhq1SpZlrHQrt1oNOLg88/jQdCsRwdK9gBoj00E7YGdAtWyBOi1Waqob8bh864ufCBJw98GoBqAHdS7bkvyMXv27EFpaSmfwezp6UEoFMq6wy8vL4dWq81pwJr1++KgpdVE8g/rmc3OzmJ4eJgbkrLe3UpK0KlUKhgMBhw7dgyHDh/G40gh9GQhQbEMxul0Ympqive0lEpl1opAQUEBJ5lYrdasQg6MWJULKioqOBkmk71RKBTC5OQkAoEAANpPyyQ3thxoNBpUVFTA5XLBarVmnC+sra3F8PAwFxxYaJ0oKSlBSUkJ5ubmYDabV+w836q4SA06z1AoFFyqayVRXFyMqakp2QB7rmD+fAC46kpLSwtuvvlm7NixA/X19ejo6EgLej6fDwMDA1xzcCn+bAyL9XOIpPLOyDfXJv8/AyoEAFCyx2ugZb9/BPDV5M8f+u53F5xBzIRM4wmvHTqEnzzyCABaSo0DYCPsf0n+vX37duzYsQNfvf/+nOYgjUYjBgcHc7ofGNPy00olToF65j0J4G6FAgKAj3zkI2htbcXOG27A2bNnl/R+lwK9Xs9nzjpSfpc6S0iSpKW+vj7+HpmA92JQKpV8E8Tc5RcDIUQmD8bUgaTH7OzszOhWnnovr1q1Cq2trefk9ZgK9h1zu90Z3w9jSOcy1wfMj0pcFJ8+d1wMfOcRiUQCAwMDmJiYWPJinIpIJMJ3pkwrFKAze7ksEqmora1FQUEB4vG4TNEjLy8vo6pE6hD4+vXrz+kLyLz62ALJtBGlMmyM8DIKmvXMgWZelwG4C3TGrQ/Af0EyMP3qq1lnEFNhNBqxZ88e7Nu/Hz9KHT5PJPDSkSPYvnUr7lEq8UNQd419oCxMNguZLWhKz8Fut2N3V9eSRAIA8OH9D2N+eD9ECH6afK2fA+j5y19w3913n5fNFUArBFdcQdVRn8V8Zg3IGZtsfnN6epo7Yaxbt25Bdm8qtFotiouLIYpiRm1KKVg/c3R0FJFIBCMjIxgZGYHD4eDKK+z8pWCC3cFgkPc4169fL7MyWikUFhaitLSUbwgygVVMHA5HRo1PKYqKijJuSC9i6bgY+M4jlEolb/xPTk4ueZibIRQKoa+vD6Ojo5yt19DQgMLCQu4UQZbIUVIoFGhqaoJCoYDX682oRAFQhpp0CLyqqipNhHs5cLvdcDqdMJlMEEURsVgMgUAAVquVB3KW9XxSqcQR0CH8nwIYVyigLi/HACib8l9AA9ZVAD60wMA0g1R55aMfpdzMbOMJn7j7bmzasQOfAx37+DKAq5OzkEzqK1PQlJ7DLf/8zzh66BAeRm4iAQzS4f3HknOf3wXwT8nX+v8AfEMUcfS113D06NGcB6KXire//e24ZssWfEcQ8FPQcYu9SDrGd3XBYDBgaGgIoVAIKpUKjY2NWLdu3bIqAoy44Xa7ua1SJqhUKkSjUQQCAT6orlAoYDAYFiSnKBQKmEwm+P1+aDSaRaXDzhU1NTWor6/P6iRfWlrKg322rM/pdPIxmotYGVwMfOcZzPA0kUhgdHQ0p7JPKpRKJS/rsAAnCAJ3OAgEApienl7kKOkoLCzk8kzZSjzRaBQ+n4/3BhsbG1dkeJbpX0ajUdhsNpSXl6OkpASiKHKFFGA+67kXNPB8AcDbtm/HT/7zPwHQgOUCFeJuA/BQ8nm3ve99WTMqaZb2YvJnL0t+7wcVgwaAyy+/PKtyDCvFbgPNhGyg5dhrks8dGRmB0WjE8y++iM+IIv4ZuSmapKKlpYWXAZtBAw8Lce9I/j0xMZHTPSB18MgVCoUCjz/xBK7atg13I106DqA9qKqqKnR0dKCqqmrZoueFhYW8T8l8GzNBrVbL+oClpaVYv359RqfxcDjMjxOLxZBIJOD1erF27drz7kxeXFzMBcOzQarmkpr1Wa1WTExMYGJiIs1R4yKWj4vklvMMpqk5MDCAcDiMiYkJrFmzZknHkGaKPp+PD/syl2XWIC8qKlqyOsliJR6mDJOfn39OQ+CpEAQBtbW1mJiYgMViQWVlJerr6zEwMACXy4Xq6moUFRXJyDfPPfcc6uvr0djYyGfHXgTw36AD4/8N6mr/MoB7zpyRmdWyOUClUpmmvLIbwN2g83hrARwG8JAgYOumTXzwOpNyDCvF/h9osEuAkm3YhN7atWt5YLsc1B2DIZOiyUJgr9UHwACaOa7BfMD+5c9/jg0bNkCn02XMeKLRKEwmE9xuNyorK1FZWbmkz3PVqlU4dPhwVjGEXIe7c0FtbS00Gg1MJhPi8XhW0geTYMvPz89Y/mOi0larFY2NjaiqqkJeXh5KSkrg8XhgsVhyErU+3ygtLYVOp0NJSQnPPkVRxOTkJM/0qqqqluXEfhGZcXGO7w2C3++H0WgEIQQNDQ3c3yxXsCFxQRDQ1tYm+xKwecGFbIFyAWNqZurdkUVmvpYL5q7A5pNY34+9FyZrJlWGAehicd/dd+PowYPwiiIeBPAe0KwPmJ93O378OL56//1pbgdToNkXADgBvBPAUcnvr9u2Db/5n/9Z9HPacd11eP3ll/EJUcQLoILUDLu7uvD5L30J11xzDR4E8HnMa3Sy82PWSrmAzRR+MqnlOQOaATcCGBcEdG7ciP/Yswfr16+XZTFs8ZdWG6QWVksFIQSJRCJriVAUxSVnUZFIBH6/X7ZxY+4Ry0EgEJAJx1dWVnImZDAYxMDAAACgo6MDsVgMDoeDl/7PB+x2O9xuN9asWbNoaTUSiWB0dBShUIg7QTCizEWsDC6WOt8gMKdvgH4JlrrfqK2tRVlZGURRxNjYmKxkVVNTw0Vrlwsm2MuMN6Ww2+3o6+s7Lz0k6TWJRCK89MTskgYGBtDf3w+32817OEqlEsXFxXj8179Gy2WXAaDKJn7QciMg6dF97GMy8sn3kj9nmdIcgFkAXcn/P/jggzhz5gxeeOmljEEvEAjIBI2f+t3vcPnVV+M7oE7p3wY1HH4EtI/3zQcfxDVXX43vCQJ+jPT+WK5BD6Bl30uuvhr3g5Z9PwZgI6jowI+SvT6/3y9bvBn9XRRFFBcXy/q6C/XQsiEQCKCvr48LskuRSCQwPT2N/v7+nEv6LCvr7+9P64MvJ+ixUvng4CDC4TAXlZbS/wsLC3mGaDKZMD4+DpfLlbMA9nLgcDgwNzcnI95kQiAQwMDAANdYbW1tvRj0zgMuBr43ECyryWaAuhiampqg0WgQiUQwPj6eduxz6VUwTcBUlidJCgpHIpFl9REXQ2lpKWe+WSwWqNVqvij5fD5upqrRaNDW1oa6ujp0dnaipqYGWq0WTyR7TBPJ482CqqowxmH3yZMy8smnQVmhd4IGICuAP4KWNndefz2+9KUv4ZJLLkk7T5/Px8cRpNdHp9PhsZ/9DATAT0BlzGpAHRgeTiTw7IEDeODrX8eGjRtxL+T9sa8++CCeffbZnPp8ACW7fO4LXwAAfBPA75OvWQHguuRj2AaBoaCggPeXKisrodPpeHlb2kvNFYxUkilwKhQKeDweRCKRnOj5Ho8HfX19ssDMwALYYkxHKVgmx15bp9NltVFifTW3283vN3Ye5wNSdZuFwNimxcXFaG9vTxPOvoiVwcXA9wajurp62bJlKpUKzc3NfMeebXExm805LTxSSFmeHo+H9xYUCgXfLbtcrkV3rMtBXV0dDAYD6uvr4XK5+GtXVFRwzcj29nbOEpSWitauXYubbrwRX1Iq8QIAE2i2da9SiauSNHwpY5OAMkPnQANQC4D7AWzZsQNP/e53svMihMDlcqG/vx/Dw8OYm5uDQqFAYWGhbIGUklwqQE1c6zCfdYbDYfzi8cfx+9//Hk888QSOH6cF0Y0bNy5pvAGY7/VVgwZRL2hvMlUMmpWImTkvAM6gZeXEQCCQZtuzGPLy8v7/9t48PNKzPPP91VeltVTa1a3SvqsluQF7sNumoU3bbdpun3PIwXBhYkiAOZOZSbCdCWRyDWAmiZNxCAOJGZickGUmscFgjjvAEBu722YJtnuwvHZrK6m1lHaV1pJUi6q++s4fn963q1QldS2S3W69v+vypXbt6/fU877Pfd9y+GSr5EDTNDmVmSizzuVy8dRTT3HhwgUGBwe5ePEiGxsbZGdn09TUFLPMOTIywszMzGVlDdEYm+HH4nuyk0Vgfn6+LIgWi4Xs7Gy55LkXiMK3urq648qJYRg4nU4VObTHqOGWtxDRSV3OczAaMYnp8XgShql6vV4pPRA6omTJy8vD6XQyNTWF2+3G4XCQlZWF3W6nsrKSmZkZ3G43BQUFuzoCnp+fL5e1hEyisLBQbvZvN4ATCAQYHh7mTx56iAc+/3n+Y9Q+3oljx/gvX/5yTAyQn0vDJxHgmWeeIRwOJ0ydX15eZnx8XEorNE2joqKCAwcOxEk5ovPs7uGS0D26GNXW1nLw4EEcDoc0c45Ja9+UN4hhnO0QEo//ePYsf6rrfAAzB/D+zQghwzB44oknyM3N5d3vfjcHDx6koqKCubk5WRisVqvsCtP5EeZ0OqUWbnFxMcaFpri4mMLCQrxeL+Pj47S0tCR0xjl64438yUMP0dbWRmFhIZOTk6ytrbGwsMD6+jq5ubkcOHCApaWlHffewuGw/Cza7XYaGxtjhkR2QqRCFBcXk5ubi9vtloNWuz3pmZOTQ15eHn6/n+Xl5W0/06nu/SvSQw23vEVEb7A3NjZe1sJqKzsNmwgXfJvNRkdHR0qaO2Mzcdzn88UMQEQiETmZWlpauqfTcOvr60lpwHw+H/39/XJgaGVlhZdeegmHw8GxY8coKiqSAyF/HInQBLyMuax55P3v55lnn932toUjvs1mk8VjpyKRKJngPk3jX918M2eee05ezuVy7ZiIkcywSyIz6Ns2Y4Gi7+voTTfx/50+jdfrpbe3l46ODtrbzfEfj8eDw+FIOylEDFTl5OTQ1dUV81kMBoP09PRgGAbNzc3cc/fdnDt7VpqK/y/g85rGkePH+Zu//3s8Hg8rKyt86Qtf4Plz52Ie///4h39I+HqIpfGZmRkOHTqU8cSxEWVoLWKcdhvxmu1kXK14k9hbK1DFTkxMTBjd3d3GK6+8Ik2b02F1dTXG2FfXdaO3t9fo7u42+vr6UjaT9vl80mB3ZWVFnr62tiZNf5eXl9N+vMmg67oxOTlpeDyeHS83OzsrzXvX19eNSCQSY6o9OTlpHDt6NMZQ+vbbbjMWFxcv+xgWFhaSMkM2DGNbs++f/exnRigUkpd78sknDcB4I8pkOxnz6UQIM2iXy2XcdsstRommSRPpr4BRqGlGWXFxzGM6dfJkUs/9cui6brz++utGd3e3MTs7G3e++Gw/8cQTBmB8a8vz/dvNx/PFL37ROH36tHHs6FGjUNOMB8H4MRhfA6NE0xKaYPt8Pvn57u7uNiYnJ7d9nIFAIKn3UNd1Y3p62uju7jZee+21OGP2rUxNTRmvv/56Sobo0d+f6M+E4s1HdXxvIYZhMDQ0hNfrJScnh46OjpSXnmZnZ5mYmKCiokImwIOp2+rr6yMcDsedlwxzc3MytTuaiYkJ5ubm9nTE2ufzMTIyIif8opOnEyHSxLe+hqurq1y8eBFd15mYmCAQCHDddddt+2tbaP2qqqooKytLaQlaEK1zC4fD+Hw+Kisrqa6uBuDChQscPnyYB4HfB4RtQDryBsGvfvUrjhw5wkObt2kFAphi/geAP8Z0efkFcF9UPl6mzM/PMzY2RklJSZw2NRKJ0NPTw09/+lPuv/9+nuPSAM4ipnzkl1GX14D/zCVXGgeJX5OlpSVGRkbk/mVtbe22qyUej4eJiQnKy8t3jPIRHp8Oh4NwOExpaSmlpaXbrqh4PB454HQ5aZIQyy8uLuL1ejEMg5KSEhoaGlSK+luI2uN7C4kWtweDQUZHRy8byLoVscSzVcCenZ1NQ0MDQ0NDeDwe6YOYLNt9mauqqigtLY0ZNd8uCT0dZmdnmZyclEu5xqaGz263b7vZ39DQQG9vr8xUE8uwYn+uqKiId7zjHXHXn5ubY3Z2ltzcXH733nvj9qC+873vpfyDIVroLoJT5+bmpDXWNddcw83vfS9feeEF8jbdXERg66kTJ9J6/TweDwCHMbV99UAucDtm4SvFnDTdKVEhHcrKyqQgfCuaptHU1CQHOdyAC9N39cvABeBPMVM3RoH7MI0DHsD0ZYV4kb/L5eL555+nuLiYpqYmOjs7E34mhA+smDr1+/3y85RIY2iz2QiFQiwtLdHV1bWjUbUIUgbzu7BT0RPpFNGDUHl5eZSVlami9xajXv23GJvNRlNTk5ymTHUas7CwUBrdut3uGFujoqIiiouL0TQto2EUXdeldk3TNCYmJnjqqad46aWXpOdlqtOJ292PGMIoLi6WQavhcHhHr0Kr1So7juhf1qFQiPr6elpaWmIOkMFgkIGBAcbHx8nLy+P+z3wmRuv3MHD+V7/iE/fck/D+kqW4uFhOgM7OzsrTH3v8cQ4fOcLnSGz/lSqigL0KzGNOrAL0bf6twiyIEJ+okAkWi2VHxxa73c61117LiePH+beY5gKnMAt9A6bH6jHgNzA9V3+GaQQuED9DysvL5efs05/+NB/60If4nX/37xJqCefn5+np6WF1dVVOmba1tUlP24GBgTgNrd1uj5HU7ISYgrVarZcdRFleXiYSiZCdnY3T6aSzszNjc3fF7qCWOq8QxLKRGO1PlaGhIVZWVsjJyaG9vV0e6I3NSb50hxiCwSAulwtd16msrORff/KTMZ1RNmahuJPdWUpbW1vD7/dTXl7OzMyMnFDt6OjYUdAslnwBrrvuuoTLVMamS74Y6xf5bzfddFPMsEkIsyt5AHjllVe49tpr03oucGlIRtM0Dh8+LH+ATE5O8qtf/YqZmRluueUWOXSSLnfefjvPnznDZyMRbgSmMbuoOswUhyJMn89vk/6S6k6Ew2G8Xm/CZccP3HorL/30p3zDMC5NsQI3Av+8eZnxzcf6OeDfYmor/0jTeMeRIzgcDs6dPctnIxHeBZwHHkowoBSd9iHE+qJ7C4VC9PT0oOt6wuVJkQ4i0hpWV1fxeDy0tbXF/Gjc2Nigv7+fUCiEw+Ggurp620Esl8vF6uqqtEtTXDmoju8Koby8nM7OzrSKHsSK29944w35q1Z4GaZLdnY2WVlZ6LrO3R/5SExn9GeYe1SPk575ciIKCgooKirC5XIxNTXF2NgY58+fjxGNR7OxsYHL5ZJFT7jbbCUQCMjLRSIRHA4HXV1dsjt9H5eMn7OA2zb/3d3dndbzEBQVFcnMtRdeeEEK1p1OJ83Nzdxwww0pSU6249HHHuM9J07wJeADwG8CuWVljGsar2G+T98mPceYyxEOh7lw4QIjIyP4/f6Y81wuF2eee45vGEZsggVmxJP4lAjpx3/F1FZ+Fjh8ww187g/+gKeeeYb/FonwW5g+pSeBr0YinHnuuZjPmYjtKiwsjMvWy8rKkvusU1NTccL46K5vdnYWj8eD3++P6dTB/D60trZitVpZXV2lv79fLjVvpaGhAZvNltH3T7E3qMJ3BRE9ki0EyMkiRLti7yDZgNpQKLRjXJIQto+Pj/PzX/6SP41yQfkdzGGKn2Ius8El/8uf//znCW4tOfx+P5OTk/zuvfdy11138alPfYqOjo64ZdSlpSV6e3vlspZY1tw6IGRsJtavra3Jy7W1tZGdnS33VB8DhqOuI5YJy8vL07L2iiY3N5ffve8+br75Zrkk/H+eOiX3XGdmZmIyFYXQO5UfDyUlJTz59NO88sorPPzww5w+fZpXz5/nPbfdFpPnl8mS6nbYbDZZvLcKzqPF/dGIJdcXgX8E7tU03nvTTZw+fZqHH36YZ555hjPPPSelOMeACsyhlwimmTiYKx3ih45IGmltbU3Y8ZeXl2O32+Ww01bElsHCwoIc6pqbm4sTnOfl5cV4bo6Pj7O+vo5hGDGGANnZ2XR1de2qgbdil3hTZ0gVSREIBIyenh5jbGws5ev6/f6kR6xXV1flSPrQ0NCOl/32t79tAMZTYASjxtLPbY6lfwWMO6LG5slgdH54eNi4+b3vjRnPfxSMUqvVOHXypKHrujE8PCxHw/v6+gy/37/jbS4uLhoul8sIBoNx591+221GoaYZfwxGDxiPbN7X8WPHjO7ubqO/vz/l5xDNqZMnt30uLpfLmJiYMHRdNxYWFuIkEem8hpOTkzFyEyF76O3tNUZGRlIawU+WQCAgJTBer1eePjAwYLD5nKPlDI9s+awcvfFG47nnnjN6e3tjJDRbrx8A4xUw/njzei+99FJKsoL19XX5uYl+nAKXy2V0d3cbc3NzUjLhdru3vb2hoSGju7vbeOONN4z+/v43ReqjyBxV+K5AlpeX5Zdzfn5+T+5jbm5OHqiS0eb19/cbgPEgGK6oA9g/bB6ArgGjaPMAtfXgngoDAwPGt771rR0PlgMDA0ZfX5/UcG3VKUYiEWNmZibpgrG4uGgcv/nmuIIzOztrXLhw4bJawss9n63PZQCMz23ej8vlkpc9dfKkUWq1Zvwabsfo6KjR3d1t9Pb2pqztTAa32y1vPxrxvB7ZfF6PbGr0bn7f+6QOcWJiYtvP+tbrf3NTo3j0pptkcbpw4UKMXs/n8217e+JxXrhwIe518Pl8soiurKxIjeh2OttwOGy88sor8jv06quv7opOUrG3qOGWKxTh8pAohigTIpEIbrdbDgEIknGruP2223jxuef4XCTC/4U5ZHCvxcKKYWAADwL3Yy5HuYC/wdyzSWaQIpGtVXR0kIE5AFEPPPnkk9xyyy2Ew+G4wQKRebi+vo7NZqOrqyupiVZd1/nxj3/M2NgYR44c4ciRI5e9TjI89dRTnDp1CjeQD9wNnI06//rrruPps2fxeDy0t7fzCPDxqPMz0feBuZQdDofJy8u77IBHpoi9Pl3XY9yIEjnNHL3xRr793e/GpCZsR6LrH3vve/mjBx+ko6OD2dlZQqGQNIH3+/3SFamjoyPO1UXXdXp6erBYLLS2tu64Byc0og6HIy79RNd1RkdHpX+tw+Ggvr5+RzmE4spA7fFdoTidzm1jiNJlY2ODgYGBmKIntITJiNEfe/xxrj92jC9hJhx8AnjPBz7AX/zlXwJmEOuzmBOeyaahC3ZKRQ9gRv78YPP/W1payMnJiSl6xuZQQm9vL+vr61itVqqrq7ctetF7amCOp994440cPXqUvLy8XXPpj/bx/HXMvL4HMfVsjwIXNwNze3p6AOjYcv1M9kzX1tbo6elheHiYSCRCVlaWFOVPTk7GvQaZIuzdxO2L39QlJSWc/uEPOXv2rNx/fPgb32B+fj6pfWwRRuxyuXjyySfNgZlnn+WGG27g4MGDNDQ0AOZ+nNfrJS8vj6KiIqkB3XofVquVlpYWurq6dix6Ho+H8vJyLBYLq6urcngGLsUHiaJXXV0dN1CjuHJRHd8VTDgcpr+/n2AwmFFwqGB4eDimAGmaRnNzc8pThdHuJGVlZXzogx/k57+85MORA3wduIPkJA6J/CvvxBx8eBAzabwb02Pz6IkTcaGy0V0emFN99fX1CT1KxWDDwsKC7AbE8EpBQYH0a6yqqpKpBsZmSoPX603Lo1RIDVYiEf4cuAUzXaGWSx3d97//fT7ykY/wJ5gDQ2ubpz8ZdTunTp7k0cceS2hOngjR2YRCoRj3mIGBAdbW1nblM7UV4dhSVFREdXU1hmEwPT29bQZluvKdrYyPjzM3N0dWVhadnZ0YhiG723S8N8WKS35+PuXl5eTn52O326XWb3p6GsMwyM7OprGxUcUHvc1QHd8VjBC3a5q2YwxRstTV1cmJR5vNJp3xU6W1tZU77riD1tZWfv3uuzn/4otS4vAo5pLeD0le4pBo8u9/YHaNn8EUPX8JeM+tt/Lt73435rrCmk10eQ0NDbS2tiYsesKsWXQaq6urzM/P43K5cLvdMu0aiDECCIfDjI2Nsbi4mNaE56OPPSYDc/+PzdM8wAaXphvtdjvH3vte/lzT+AZmmvyLEPO6nttMcEgWq9UqnWdmZmbkD4P6+noZbbWTMUA6aJpGV1cXdXV1WCwWent7pSlBUVERnZ2dMqkCzAKTaefp9/vRdZ2cnBxCoRButzumu52amoqLSIpmfn4+Lp6pvLwcm82Gz+djY2MDu91OOBxmYGCAqakpDMOgtLSUzs5OVfTehqjCd4UjYoii7cjSIRwOo2ka73rXu2hubqa9vT2pBITtiEQiPPvsszx95gxfjZI43AP8JWanMrB52a1uIVvH9aOXAwFeAr4PiF22r33ta+Z1nnkmrtvJzs6mtLRUHlQTvUZiX3NwcJCNjQ1ycnJoa2vjwIEDlJSUYLVaCQQCLC8vU1paSltbW4x1XFZWlhQgC0F9KpSUlMjA3FeAAsw9yxlio4se+973OHzDDXwWM1X9v0Gs9i0NjWRxcbHcaxPLfrm5ubKb3enHlK7rKUlqBEJSo2kaZWVl5Ofn09bWRktLC3l5eRw4cICamhocDod8b9IlEongcrlYWFjAbrdjsViw2WwYhkF5eTmFhYVEIpGELi+BQICXX36ZsbGxOGuxrKwsuf84MzPD2tqajHOyWq00NjbS2NiYdram4q1FFb63AWVlZTFuLKkiIpDGxsYAZP5YJvtYmqYxPGwq37Yu/olxhf+9+Vcc3KOtp6ItzioqKjh18iSf0TTeBdyA2ek9DBwoLeWTn/zkjoMdgUCAwcFB+fyiWV9fp6enR4qMKyoq6OzslNoqq9Uqi9r09DRAQt1VZWUlFouFtbW1tLo+kaN3n9XKLzCL3j8Cv2Ox8O7NwNyqqioee/xxvvjFLwKmqF7gwtSvQep2Y7W1tdhsNvx+v3yOlZWVOJ3OhI4xxqbDzfnz5xkaGspopaGqqoqOjo6Er6noRldWVtK2udM0TXbpy8vLNDc3y24TzO5W0zTW1tZkdyuWK3t7e+XtbGxsxP2oKS4ulj+kRkZGADNCrLOzM+UYMcWVhSp8bxOiBblerzeloqXrOqFQiMXFRTweD5FIhJGREVm40uWmm24C4F+AuajTRacXBP6WS24hf/jAAzHOL9HLd48+9hg5JSWMAv8v5hDII0B4ZSXh8p7L5eLxxx/n6E03cejQoW29Qt1uN7quY7VaaWtro66uLs4g+ODBg2iahs/nixH+h8NhOQiUadcH5pLnjSdO8FuYS55fAryGQfcrr8jHnpeXx/XXXw/AjzGTDMSw0G9u3s6XH3oopUJhs9liljx9Ph8Wi4WqqqqEHcvs7Czj4+Poui6DjXdaKtyJ7RIOgBiXl0xGDaI7O7H3JsjOzqa2tpaamhpKSkrkUIoYvokefpqdnY15TIFAQHrUhsNhdF0nOzs7pXxLxZWJKnxvM6anpxkcHExpeUh4CoI5BLCwsMDS0hIrKyuyA0iHa665hluPH+crmsa3MA2GHwX+wGLBAvwW8G+AI7feyh8++CBPPv00X9+6LLq5fPezn/2M2YUFvonp1Xg95li/WN5zuVxyyER0jXd/9KO8ce4cf4bp8J9oH6y6uprOzk4OHz68rYNGdMq76G7EYMjo6Kg8+GXa9UVPJ173zndSuPm6Rf8I+M2Pf5yjR49y9MYb+bymcStwjti9vvMvvJDSXp+475KSEioqKhJOMi4tLckfU2JlwWKxkJ+fj2EYaRf7nXA4HLLw7uQelAz19fVYrVbW19eZm5uTVnazs7OUl5dz8OBBLBYL6+vr+P1+bDYbjY2NcXKX6O+VKHDCpiwTo3fFlYUqfG8zxEb6wsIC8/PzSV/v4MGDlJSUyCk7Yc/04osv8sQTT6Ttrfn9J57gXe95Dw9geiwKicOL587xzW9+k9OnT/Otv/s7+VijB1gCQPXmv8+cORN3PkDn5t+f/OQnDA4OStnDVzD3yT4PnMD8IF8PfHrLPlhhYSHZ2dmX3YsRB8bV1VW5nyMyAIW91W50fWB2N6+8/jrfjET4N8Tv4S0uLvLId77DO266idcwJ2Qz3esDaGpqora2Nq7jHR0dZXh4WP4IKi0tJS8vL6YjWlxcjBnn3w1sNlvMPtpWn89UyM7OjpFqzM3Nsbq6yuTkZMztVlRU4HQ66erqorS0FJvNxqFDhzh8+LBcEhWfVU3TaGlpUQMsVyGq8L3NiO7e3G53Sgej+vp6cnNz5eTb7//e73HXXXfx4Q9/OO1IoZKSEs48+yw/+MEPePjhh3nxxRf555/8hCNHjnDPPfdQV1fH7OysHKYQAyweTD/M5zf//9Zbb405P4RpYCzc+2tra7lw4YLsGrs2T/8gsAJ8jJ21g6Lgz81FL8peQtM0uUQmOp+qqio0TWN9fV3eVmVlZUwUVDpczr9yaGiIxsZG/tMXvnDZy2WC8KAUBV4s9UVPt66urspOeXJyMqP7S0RJSQnFxcUYhkFvby+Dg4NpL3uKJU/DMIhEIlLLJ4JrAbnEG9295eTkyCEpiJ3ozc3NVQMsVyGq8L0NqayslAeL4eHhOBPd7bBarTQ3N2O1Wvm9++/n1V/+kj/H3Ev6MvDimTMpL6GB+Wv76NGjHD9+nM7OTnl6UVGRPJjk5uZy6uRJ7tU0voq5h/dj4Kuaxu233cZdd90lhz8exRSsfxdTu3fr8eO8733vk53X9ZgRO2CaY/8Jm1E1wAixwnDBysoKU1NTTExMJOwsxB6WWN4Ds8PbKsjOysqitbU1I+Ph6ClWHZjCdKWJnvCMvtz/wuxuBVsvlyrCyEAUmeLiYvl5EpOfRUVFOByOmIIhXGB2m+iwX6/Xu23aQTLU19dTU1NDbW0t9fX1cqhnpw49HA5z8eJFFhcXpYm14ipnb5zQFHtNOBw2zp8/b3R3dxsulysl78WXXnrJYNNnMwjGa2B0g/EXCfwjU31MWwmFQsbw8LARDAaN2dlZ47033bStCfPi4mKcSfPJEyfk+WfOnDEA48/A0ME4tekPChgPbT6H0S2+ntHPRRgKC1/Hra/Z3NxcnCdjOBw2XnvtNaO7u9uYnZ1N63VJhPCf/BswfrzpgVqiaXG+nMeOHjUKNc34RpTPZZGmGe++7rq036eNjQ3j1VdfNbq7u43p6em408TzXF9fN/r6+gyv12usra3tib+nwOPxxPjGJjITT4elpSV5m6urq3Hnr6ysSKP2l19+Wfls7hOUc8vbGL/fT39/P5FIhJaWlqSTnaP9I2sBL+ZwSBbmntqTTz7JHXfckdFjE0GvWxkZGZFuNF1dXVKm4Pf7mZiYoLGxkZGREekMEy1jCIfDHL/5Zt44d44/ikS4Ffg1zDihXkAsUHVhLqXWbXku4XCY3t5eQqEQxcXFBAIBmpubL5uX5vF4cLvd2Gw2rrnmGqxWK+FwWC4NptN5JfKffP+xY5z+wQ9itIpDQ0N88hOf4Plz5wBziSZ6njdVNxfBwsICo6OjMng1NzdXPk8hQn+zpxeFLyaYy6/RWsp0iEQieDwefD4fi4uLZGdn09nZidVqJRKJyL1AMFckmpqa4nw9FVcnqvC9zRF7T6kc+LZahC1iGkt/j91J556fn2dycpL29va4oqLrOpqmxYy5ezweGRBbVlYmvRcT4Xa7+fWPflQWAsGjwK2Y4vACtjd39nq9MUMhJSUlNDU17fh8DMOgr6+PgoICuT8UCoU4f/48hmHQ1taW9tLn4OAgFy5cAMxluq6urji/x/7+fvr6+vjDBx5gor+fr+v6pSTzDBLvh4aGWFlZwW63097ejsViSWhn5nK5uHjxYtwPkb1AGEwbhkFzc7Pcf0yH/v5+1tfXqaysZHFxUQ6r6LrOyMiInCQ9cOAA1dXVCX+oKa5OVOHbp9x5++2cO3uW/6zrNGPuqf2XzYPoEz/4ATabLe3x7cHBQbxeb8wBNRHhcJjR0VFpF1VYWEhDQ8NlhfqTk5O8/PLLbGxs8M53vpPfvfdezp09y8O6zs2Ye2D371AQJicnmZmZoby8POGUYyIMw4h7HsIfsqCgIKEQPBVEEUpU+NfX13n66ae56667+FvgX0edl2x6g9/vZ2FhgZKSEjmwsbGxQW9vb4yfZSAQYHh4mLq6OjY2NuISM9LtMFNBvD/CaWgnLeBORHe1jY2NFBUVoWkaExMTzM7OkpWVRUNDQ1q2fYq3N+onzlVEKBRibGwsKXG7EFPfjymm/hxw7fvex3//67+mr68vZhIuVcRBcX19XWrgtiJ8M1dWVrBYLNTW1tLa2hpT9ILBIC6Xi4GBgZiBg6qqKu644w4+/OEP09raKp/LJ7iUNH79LbfwV9/6VsL7rq6u5tprr5WuHsmQ6OCbqa4vmuj0762aNrvdLoX1DcQOulxuwjMSiTA1NUVfXx+zs7P09/fL6cxoCYAQqefm5tLZ2cnU1BQnb7uN58+cycgvdCvJpMuLQmSxWDIStpeVlcnJzpmZGfkeVlVVcfDgQTo7O1XR26eoju8qoq+vD5/PR2lpadIpAoODg7z88svk5ORQV1dHbW0tk5OTRCIRnE5nSmP7hmEwMTEh902ER+PWcfClpSXpGrPd3sr8/Dzj4+OyiO+0BCr2E0VqhNPpxDAMuVe1m8Jjv9/P5OQk1dXV5OXl7UnXl+j96+3tpauriwcxjQFEkt7lOj5xm2BO9YofEO3t7VKbNjg4SCgUorGxEb/fH9/lbd5PSRL3tx2J8ha36x5DoRBzc3NST5gJoVCIN954A4CGhoaM/G53YnBwMKMfPw6HY8+XkRWXUIXvKmJtbU06nKQaNDo6OsrCwoLMVBNdQbJDM6FQiKGhIamBEkbEiTolXdfp6+ujsLCQmpqauK5LLEWB2e0IrWL0wVqwvLyM2+2mpaVFyhDEnpzf709qDy8VRkZGWFxcpLCwkNbW1l3b6wNTPzY3N4fT6UyY63billvo/vnP+cvNwZ7LLelC7LLzoUOHGBsbY35+XnZ2FouFcDgsDZjFEvjXdZ0O4Cngq8BNmJrKceKHhpIh+nZ3Y39SsNP+49ag2Ohw3N1kcHAwLqQ2HTLdW1ckj/LguYooKCigurqaiYkJJiYmyM/PT9pxoq6uDr/fj8/nY3l5mfLycubn5xkZGaGrq+uy+242m0064zc0NMQVS6/XK5eVrFYrHR0d2wqDo5f62traePXVVwESpkksLi4SCoUYHh6ms7NTDs40NDTQ39/P0tISi4uLu3bAq6qqYmlpCa/XK59TRUUFc3NzTE9PZ1T48vPzdxzs+f4TT/Dxj32MT0V3TSdO8Ohm8kMiampqZGzT8vIy1dXV+Hw+/H4/S0tL0r0EzAPvk08/zSOYQ09u4HbAAnwB01BAGI+nMskqbjc6b/EewNB1PrHpQJPqAT+ZDtJisRAMBqUgf6+MpWWn9yGgPI0bmAdOk/FyuSJ51B7fVUa0Ndnw8DChUCip64lQWpvNxvr6urRt0nV927y0SCQSI3Buamqio6Mjpujpus7w8DCDg4MxwuSd3DDEQeqd73wnmqbR1NQkn9NW6urqyM7OJhgMMj4+Lk/Pz8+XbjFutzvp1+Fy5OTkSNuyiYkJDMOgsrKSioqKHYtWOmx9vluTyPv7+/nnn/xkx0GTvLw8KcIXmYPt7e3U1NTE/SgSjjJOTMlEDZAHvHPz/D/jkuF4KoUqGaeaVBHWdVv3H++5+275uonPzqFDh1IOok2LcqAqjf/SKZaKjFCF7yqkoaFBWpOlMqQi0qSbmpqkv2VDQ0PCTisQCMQMSojrR2u/VldX6e3tZWlpKaVBhby8PBobG2UnIpYrEw2iiA4TzH3BaJuyyspK8vPz0XU9YWRRujidTqxWK36/n8XFRbKysmQB3g2CwSDDw8MJM+TAXLLr6OiI+eFxuccrfghYrVY0TePAgQNxj1f4Zr6IqevUMB1yXts8/++BrOJivvFXf5XS89matyhI14FGdJBbDc+/ous89cwzvPDCC/Kyubm5cglcoRCowncVIro3q9Wass1UYWEhJSUlNDc3bxvsurCwIPfQFhcX4yyejE03f5fLJYNfDx06lNKeYyo4HA4qKysBM2xVdKhiyVOkjaeb+bYVm80m729qaipuijaTnENxfbFEm8hezTAMlpeX8fl8SRmVa5pGR0eH7FS3o7Ozkw/ceitf0TS+jRma+31M/9N3Aw8CwaUlPvPv/31Kzyc6i/BRzH3CR0mve4TEHeQ8ZqcK8NprrynbMcWOqMJ3lZKbm0traysdHR1pBdjm5+fHdQRC+Ds6OkokEsHhcMTt1QWDQQYGBqTTf3l5OZ2dnXv+q7uqqkp2d6Ojo7ITysvLo7q6GqfTmZEYeiuiY9rY2JDFJxgMcvHixbSTLgR5eXly+TJRbFRWVpactp2amtpV/8zvfv/7XH/zzXwJ+Fdspm1gFqo7gM9GImklQySSnNx4mf3J7YjuIMOYzj1jQPfm+cePH1fG0oodUYXvKsZut8csD2YywOvz+ejv75cp1lVVVXG6OzBF6T6fD6vVSlNTU0pauUwQe4yapsW5xRw8eJCqqio5YRqJRFhcXNx27zIZNE2jpqaGmpoa2UlpmsbKysqu6PrE/uTS0lLCrq+iooK8vDzC4fCuZuWVlJRw9rnneOihhwD4O+CfMJMvyjCLH6S+L7d1f9Llcl12f3JmZga32x3XQYsO8l5N488xUz6eAr6maZw6eTLGKF2hSIQqfPuE2dlZ+vr60loCikQiDA4OEggEyM7Opr29HafTmVCqYLfbaWhooLOzc0/dPRKRk5NDV1cXdXV127p9+P1+Xn31VUZGRnC5XBktS5aUlMgcP9i9vD6I7foS3ZbFYpGpBsKPcjf5tV/7NfO+gYuYovkGzCID6SdDtLa2cscddyS1vBkKhfB4PAnjkP7nI4/QeeQIX8A0YHgAeM9tt6XVQSr2H6rw7QN0XZeGyukMeWiaRm1tLUVFRXR0dMRMA66vr9PT0xPTlZSWlr7pBseCrfcbXdjC4TAjIyPy/4PBoIw6yhTDMNB1fU/cXMR+3lYKCgrkiH50cngy7iiX49ChQ9x+2218RdP4GTBB7L5cc3NzRvFBiTAMI2b6VshfRKhsNBUVFfzTD3/IT3/6U3784x8n1UEqFAJV+PYBIofPYrGwtLQkxeE7sdVurLS0lJaWlhgXlNnZWQYGBggEAnsSUpoJoVAIl8sVI3Gw2WwUFRVx4MABKWr3eDwZF6j19XV6e3sZGxvb1a4vNzc3YWGLRhgAbGxsMD09zZ233057ezunTp1KO1xY8J3vfY+jJ07w28Tuyz3yne8wMDCA2+1O6rOUDD6fj76+PoaGhuSSfFFREeXl5qz/6OgoHo8n5jNZUVHB+9//fu68804l/FakhCp8+wS73U5tbS1gmgDvdLAXBW0nHaBhGDKctbCwMGmLtDeLQCDA6upqnMShurqa2tpaSkpK5EE1WX/T7dA0jUAgwNLSkkwD2K2uz+l0kpWVxfr6OgsLC3HnZ2Vl0dLSQldXF//Ppz6VUNuWrrdmSUkJTz79tNyX6+3t5funT1NaWiqnfScmJqSPKKTebYoJ4P7+fvx+PxsbGzIUGMzCLoaI3G43IyMjamJTkTGq8O0jKioqKCsr21bcHg6HGRoaksLsgoKCbQdTLBaLPPgJd4wrie0kDtGIg2pBQUFGgz95eXkxhSC66xO+pemSm5srZSDj4+MxRUHgcDi4ePFinLbteuDTup7WFGY0ra2tHD9+XH4+QqEQBw4ckM95ZGQkrW5TdHnT09MYhkFJSQldXV0xw0lCSwrmZ66iokLFBykyRn2C9hl1dXVyGvDixYvygC/E5iItoa6ujqamph3HwkXhSGav7K2whBUGx7quJzwAW61WOjs7aWhoyHj8vaqqCk3TWFtbY3l5mcrKSmpra3elEz548CAFBQVxUo1ohLbtHcAkcCfmJOZ/3Tz/nrvvzkjHKAwNQqGQ/NzU1dVht9sJh8N89CMf4cUkkxwMw2B6elp2eTabjaamJpqamhIaigvZTGdnp+ymFYpMUIVvnxFtTVZaWorFYmF6ehqXy0UoFCI3NzcpsTPE/hrfbq/MMAzGx8d59dVXE2rS9oJIJMLo6KgcZLHb7du68m8teOkW6OzsbNmZTU5OYrPZOHDgwK50JyJPzmq1sra2xszMTNxlhLbth8CvA+cgpghdfP31jOKEok0R1tfXGR8fl5Zgk5OT/Mvzz/NAJBLjpPLwDt3mysoKhmFQXFyc1ARwfn5+nExFoUgXVfj2ITk5OVxzzTXyQC1MocvKyujo6EgpCmZ6epqenh58Pl9Ca7OFhQXm5ubkXs6bZcQrEh2cTift7e2XjSYS6RKZTHlWVlZis9kIBAIxjipbpxXTITs7W8oXpqen5fODSwkF7zt6lC9bLPwC+FNIugglS05OjuxgPR4P8/PzZGdnSwF9JxC9oBztxWkYRoyva0NDA42NjTQ3N6dlsKBQZIJKZ9inRHc6dXV1FBcXpzQKnmy+mt1up7S0lPX1dYLBICMjI3R2du5qRh7EJqRrmkZjYyORSCTpdAq/3y9z64qLi9NKWbBarVRVVeF2u1ldXaWiogKfz8fIyAg2my3jvL7S0lJWVlZYXFxkZGQEp9PJb9xzT8x7UGi3w/o6TYAOiHc5ughlMgFZVFREVVUVU1NTuN1u8vLyuOaaawCYAaLFJMKLs6amhv7+fhwOhwy+zc3Nvfo6uMu7x+3u9RRpowqfAqvVmrL+KdodX+arbbrj/9OPfiTz5PLy8mhoaMAwDC5cuEAoFGJqakp2L7uBKKhCUA6kbJFWWFgoo5jGxsZkxFGqlJeXk5OTIzVoWVlZBINBOWWaSWwRmD9SAoEATqeTe+6+O+49+O1Nvd+vMDuwms3riSI0OTmZVgxQNE6nU8ZXTU5OSieV3zt7Fquuc/Pm/d2nadx67BihUIiNjQ02NjakUfbVhHxPT+/S7Sj2HBVEq0gZl8tFe3t7TL4awP8EPgX86Ec/4tSpU2iaxtTUFD6fj5qaGnp7ewHT51JIKzJlYWGB8fFxdF3HZrNx+PDhtPfVdF2nt7eXjY2NXX2Mu5nSLtjuPXgU+A3AoWn8fiTCR4Fngd8FoudBt0s/TxZd12USvdVqZWlpiY9/7GMx3eexo0f5wwcfpLCwkKKiIurr66/aZU2VwP72QnV8ipTZLl/t+ObfkZERRkZG2NjYkI4uGxsb0i9zN7LRRNSQmFQsKCigsbExo2ESq9VKfX09g4ODzM3Npb3kKQiHw6yurlJZWSnF19GBvJkg3oObgBAgysnNmPZi9R0dPNDTwwOYG/mFFgt/Zxgx3fnHP/axtNPPrVZrTNcuvDgHBgZ49tlncTqd1NXVYbVaqa2t3Xa46GpBFa23F6rwKVIm2h0/utv4l82/tbW1cr8MoKmpiaKiorhU9nRZXV1ldHSUjY0NLBYLVVVVMZ6ZmbBbS57hcJgLFy6g67qckp2bm2NsbIyOjo6M9zjFe/Bd4COAOOyKJc3Hvvc9xsfHGRwc5L777uMbhrFr6eeJ8Hg8WK1WGXJ78eJF7HY7dXV1V22Xp3j7oqY6FSlzuXy1G2+8UV42KytrV+OAxPSlyPlrb2/fdW2X0CcCaSc4CHs0MDvgyspKcnJy2NjY2JVQ3La2Nk6eOMGXNY3vYmbnRb8HXV1d3H777dJMejfTz7eytLSE2+1mbGwMv9+P3W7nHe94h5rYVFyxqMKnSIud8tWcTqec2MvNzd3VoiSy6ETOXyIJRaZYrVZaW1vp7OzMaPKwtraWrKwsAoEAU1NTNDU1xUQjZcpjjz8el523NeNOdIY/23LddNPPE1FcXExhYSGRSISLFy/uaj6gQrEXqOEWRUYMDg4yNDRES0tLzJLZ+vo6/f39gHlwzWSZ0+PxYLfb9zzMdi9YXV3F5XIBZhHKyclJSSeZDGfPnqW3t5fW1lZOnjwZtzR76/HjdP/iF/xFJMJtmEXvfquVG0+cSHuPbyvhcJj+/n6CwSALCwuEw2FaW1vV3pfiikQVPsWeMTExwezsLFlZWXR1daU8xh4OhxkbG2N5eVk6yrzZPo2GYTA3N0c4HKa6ujqt25icnGRmZgabzUZnZ2fM8l+0/jBdwuEwPT09hMPhhNOoL7/8Mvd/5jM8f+6cPC3Tqc5ETE5O8tGPfITnX3xxT+9HocgUVfgUe0YkEqGvr49AIEBZWZm0N4tGuI5s7Ri9Xi+jo6OEQiEsFgvV1dW7Mg2aKmtrawwMDADQ3t6etCA+GsMw6O/vx+fzyddB13XcbjeGYciIpJ1YXV0lEols2zmvrKzI/bq2traYadRgMEhPTw9jY2OEQiGuvfbaPenE7rz9dl44c4bPRiJci+kZ+p92ubNUKHYDVfgUe4pY8rTZbHR1dclpxu2cX/7x29/G5/PJVIPc3Fyampp2fXkwFcbGxpifnycnJyftKc9AIMDs7Cw1NTXS73JgYADDMKivr5cRSVsRXqcLCwvU1dXtKAsYHx/HMAyZ0RfN1NQU09PTZGdn09XVteudc7Su8H3AMpAH/G/MvUeXy6WWPRVXDGq4RbGn2O12GhsbY4oexDq/CCPlF8+c4f/+4Adl0Ttw4EDK3qF7QXQKRbqBu7m5udTX18vlXrvdLhPWx8fHYxLsBRsbG/T39+PxeLDZbJcdtKmtraWuri5hUausrJS5dnthFh6t7azDTIloYXenRxWK3UIVPsWeU1paGlP0XC5XXHbcPcDXIxH+5fnnmZycpKWlhdra2isie00I28HM14tOAU+XhYUFDhw4IKchh4eHYyY9fT4fvb29+Hw+bDabjAACU9KRTBhrdDHVNE3u/c3OzibM9cuEaG2nwMLuTo8qFLvFW39UUewrlpaWOH/+PGB2ByFAHO5Fd2CxWHZN7L5bCGE7wOjoaEZyhLGxMUZHR5mYmKCxsVFKHtxut7zM0tISuq5jsVhob2+Xr4fP56O/v5+RkZFtI5R0XcflcskpS4GQHQAx6Q67gdB23qtp/BXx2k61zKm4klCFT/GmsbCwwPDwsJxqfAroxTxIwqXu4NChQ2/Bo7s8YslzY2Mjo65PTDh6PB7W19dl1M/CwgKLi4uAucxrs9nkVGk04XCYlZWVbZcsRZcciUTiCmRdXR1dXV2Ulpam/fi347//9V/TdeQIv028tlOhuJJQwy2KN43oKc//cN99vH7uHJ+LRDgKTAD/4W0wAbi2tobVas1431FIPYTEYX5+Ho/HQ2Njo5zI9Hq9DA0NUVlZKfcDARlLBOYSYyJnnI2NDXp7e9F1HafTGXP9vcDj8cjhmvn5eUKhEO3t7arTU1yRqMKneFMR8gCv18sDn//8nmvLrlQMw6Cvrw+/309hYSEtLS0yYSKaYDAoI56iEYkPVquVQ4cOJRx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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# calculate marker size for plotting\n", "death_by_build['plotted_size'] = death_by_build.deaths * 10\n", "\n", "death_by_block.boundary.plot(color='k', alpha=.2, linestyle='dashed',ax=ax); # plot city blocks\n", "#death_by_build.plot(markersize = 'plotted_size', ax=ax, color='r', label='deaths', marker='o'); # plot deaths by buildings \n", "death_by_build.plot(ax=ax, color='r', label='deaths', marker='o', markersize=20, ec='k')\n", "pumps.plot(marker='s', color='g', ec='k', markersize=120, ax=ax, label='pumps'); # plot pumps\n", "\n", "ax.set_title('Cholera Deaths and location of Pumps\\n in Soho District, London.', fontsize=16);\n", "_ = ax.axis('off')\n", "ax.legend();" ] }, { "cell_type": "code", "execution_count": 8, "id": "bc073829", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# fig, ax = plt.subplots(figsize=(10,10))\n", "\n", "# # calculate marker size for plotting\n", "# death_by_block.boundary.plot(color='k', alpha=.2, linestyle='dashed',ax=ax); # plot city blocks\n", "# pumps.plot(marker='s', color='g', ec='k', markersize=120, ax=ax, label='pumps') # plot pumps\n", "\n", "# # have to import another library for a pretty legend \n", "# gplt.pointplot(\n", "# death_by_build,\n", "# scale='deaths',\n", "# limits=(0, 20),\n", "# #hue='deaths',\n", "# #cmap='Reds',\n", "# color='red',\n", "# #scheme='Quantiles',\n", "# legend=True,\n", "# legend_var='scale',\n", "# ax=ax\n", "# )" ] }, { "cell_type": "code", "execution_count": 9, "id": "ec3df05f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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250 rows × 10 columns

\n", "
" ], "text/plain": [ " ID x y deaths pumpID distpump \\\n", "0 1 529308.741420 181031.351546 3 1 88.048464 \n", "1 2 529312.163571 181025.172401 2 1 84.400413 \n", "2 3 529314.382429 181020.293688 1 1 82.319197 \n", "3 4 529317.379645 181014.258771 1 1 79.916876 \n", "4 5 529320.675449 181007.871628 4 1 77.809998 \n", ".. ... ... ... ... ... ... \n", "245 246 529362.664552 181156.058382 3 1 135.342515 \n", "246 247 529365.151891 181176.128560 2 1 154.335243 \n", "247 248 529274.165044 180907.312598 1 8 114.615825 \n", "248 249 529299.361335 180873.184663 1 8 78.425370 \n", "249 250 529324.815196 180857.948736 1 8 69.344090 \n", "\n", " distBSpump BSpump geometry plotted_size \n", "0 88.048 1 POINT (-0.13793 51.51342) 30 \n", "1 84.400 1 POINT (-0.13788 51.51336) 20 \n", "2 82.319 1 POINT (-0.13785 51.51332) 10 \n", "3 79.917 1 POINT (-0.13781 51.51326) 10 \n", "4 77.810 1 POINT (-0.13777 51.51320) 40 \n", ".. ... ... ... ... \n", "245 135.343 1 POINT (-0.13711 51.51453) 30 \n", "246 154.336 1 POINT (-0.13706 51.51471) 20 \n", "247 169.873 0 POINT (-0.13847 51.51231) 10 \n", "248 180.358 0 POINT (-0.13812 51.51200) 10 \n", "249 181.907 0 POINT (-0.13776 51.51186) 10 \n", "\n", "[250 rows x 10 columns]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "death_by_build" ] }, { "cell_type": "code", "execution_count": 10, "id": "ae74c865", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate scatter plot\n", "sns.jointplot(x=\"x\", y=\"y\", data=death_by_build, s=20, ec='k', fc='r');" ] }, { "cell_type": "code", "execution_count": 11, "id": "76afc095", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate scatter plot\n", "f, ax = plt.subplots()\n", "\n", "sns.histplot(x=\"x\", y=\"y\", data=death_by_build, bins=9, cbar=True, cmap=\"Reds\");\n", "ax.scatter(death_by_build.x, death_by_build.y, color='r', s=20, ec='k');" ] }, { "cell_type": "code", "execution_count": 12, "id": "3c68cd08", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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BbdvNN99MRUUFd999d1DHksZZIpH4ZOWab7Jj2w7WA8uBrcCabTuoWP1NXl73uziPTiKJQIewIF/b09NDdXX18L9ra2vZt28feXl5zJgxg/z8fLf9TSYTkydPZs6cOUGdRxpniUTilcoTJ9m45T3WA3c5tt0FCLudii3vUVV7itKimXEcoUQSe/bs2cO11147/O/7778fgFWrVvGHP/whYueRxlkikQxTeeIkNafqKJk1g5pTdYDuMbtyteNv9cnT0jhL4k6s65yvueYahBAB73/y5Mkgz6ATW+MsND2GEMQbk8QG5xVJlNxNuAhhB8bH+xEASnS1m95yy1cvuRjQQ9l3uey7xfG3ZNaM0E4Wpoo1kRAAmj1sZW5CIURSXSMVBTWMX3o4r40msTHOQoBtEKyD+r9VA2j2mJw6KjhvlJp95L+FFr/xhIF+c9Ggsxk0OyJ7EhhNCfp19Y8ARMc5aKmDzDyYOANFTc6iBAFgsyIaa2CoH3IKdCMQhd+O19zy3v0U5OawpqsbYbdzNbphvs9gYMWyy4P3mg0mSEkDu01/P+Y0RqaFyYUAGOhD278FOs6hLPgISmFR0v5uQNHvZZodBrrBlKJfryQy0uON6BpnIcBuBeuAu7fsvLkknZF2fIGFy5idRjnJjLRw/l93CwwNjDzR0QQGIyJ7IqiGpLnZCED0dkLjCYZv+N1tiO42RO5klPzCpHkvAELTEE0nobdjZGP7WYRqQMmdDJotYhGoMXPL7R1cveRiKnbvHd5/xbLLeXbtTwM/gWqAlHQQAsXpldmsYOsEkwXMKUkVTRM2K9rhHdBYM7LtwBbE0R0oF12Lkjc5qb5rw/dh531NCH3ypAyCORUMiZ39jHVYO1ZE71O3W/Wb/ljGSrMDCqhq4htpzy+wJ8NG2uD478S92QiAng4Y6PG+g90GbY1gtCCyJ4ASTol/dBGAGOiDhirf36H2s4j2s4hJM1Gy8hP2vYB+XxSt9fokyRuaXX/eZEHJngi2obDP6S+3/M2vfYUnZ82g+uRpSmbNCNxjVhRIyRj5/njzwqyOiJolFQxmEvp3o2loNfug5oD3HayDiF2vItKyUC++HjKyE/q7NnxP8/W7ERoM9oJq1CdQqiG24wuQWKu1Y0XkjbPdpnvKARtbkdjhYX9fYE9E4kYFBAr0d7t7Y2NhG4TWerCkITLzEupGIwCsQ4iGav37FgjNpxDnTiOmFKOkZSXc+xkOxweCdRDRcgZS0lEy8vRrFSLFM6cDY+eWS4tmBhfGTslwRF4CNLaD/UD/8OsSyUgLAaK+CnHoPf87A/R1oW37O+RNRl10NVhSE+q7FvQ9TbPpE3mDSQ93J1iaSHrO/tDs+gzYbg3t9YkWHg72C+xJAoXuBQoM9UFXa2gHGOyDwT5EWjakZQV+w40CAsBuRzTVQl+Xv929HEBAQzXCYILCkrjfOL2G44NhoBcx0Avp2SipmSF50mWzZ7Hi6qtYs21H+LllSxoYTI7vSCjvpwdQIDUj7i6NAMS5esS+d0K7r7WdRdv8PBSWoM67HMUY5/Cwourf/1DvR3ar/jCa9XRElEWK5zuKCEYT7g2h6UY5AuE1N+IVHlZV0EK8sYx53NgbaaegiM7myOb0MvPBkhZzIy2EQJyrg66WyB3UkoYypTjmIrjhcHxjTegTWm9kTUAxWYI+ZntnJxWrw+gEZrKAKSWy3wlF1Y10jBEAXa1oe9+Ggd7IHbj4ItTiBbEXKEbL4TGl6IY6TpOorq4usrOzeTl/CulhfKa9msZHWxvp7Ox0660db0I3zp4K7GgRK6MWE4/dkRyJclTAWd5B5zk9zRAVFMiZCEZz1I2aAER7kx5ijxbpOSgFs6J+4xwOxzdWuwvxIooCuaEpu6tqTwWXWzaawBzliZrBOCwoiyYCoL8X7cPNkZ0AuqGgLLgKZWpJ9CeDigJ4CFijcY44KbudxnnjhPCN84qW8WCchdC9ZOsgMfVqo2WkY/EFHnXO6EwEdAW2gM6WsHKQQaEaIHsSGCKv7BaA6GmHs7URPvIY5BSg5E+Nyn1GhBOODwVFhbzJKJoW+QmhqwI7Vjdlk1lXD0fBSAvrENqh96ApRgt7GEy6sntClKoIYh2pU1RdNGYwxeyU4904B5cEsTnLouKQD454DtdVJR7jnLCrshstIjcbAdDdpueHY4lmh/ZGMJr18qsIKLsFIPp7obE69vn6jiZERxNi4gyU7AkRuXFGJRwf0Ik1aG1AGM0oOZMik3pSVIcCG98K7GhhHdIf5lTdUEfid6NpaJUfwMnDERhgENitiD2vI1IzdGV3Zm5kjHS4WplQEZp+71ENDk86dvn18SoIC9xzHuiJu7BphDDDwwkg0nJDNeiNQEKIRAgU3RPr64z8uELBkgYhKrv1kO+gQ4EdI89/TBSYMhslPbSSGD0c3wytZyI9sNCwpKFk5oVupFMyQE2gfkop6XqZTyi/GyHQTh+DozsjP65QyJmIuvgaXX0fyusT7Z5mMOn3giji9JxfjYDnfEtSe86JdOERjhZzQYaH4zWr9EcIUQGBotcgdrdFcWAhMKzszoK07IBykboC24ZorNW7EyUMAhprEAaTXn6VkhbQjTMu4fhAGOxDDPbpivu0rMCNtJsCO4EY6CVYZbcARNNpxP4tiXUf6DiH9s7/weRZqBdehWIKMDzsFLAm0nuByIocz1MSu/WLPwJt/OF8PtG+wJ4EYKSdgiI6zxGKxxAz+rqgrwuRkefwBryPVQgN0Xw68SYZrtitcOYYwpwCU0rA5F0EF9dwfDD0dSH6uiAzH8Wc4vtGak4BoyX0sqiYIPTafT/KbgG6AfzwbUdNdYJy9iTa2ZNQtAC19CLfAsXhFsIJ1hciDiiO/4Xz+kQkuY2zE1+NP4Y96wS+UXpjuHOaMvzjc9b3OntgJw09bdDTpuejXUptBCDaGvVOZMnC0ADi1CFIy4KCIhSD3jEp8cLxAdLdqo89pwBFNejNJkAvj7Gk6q02E9YoeyA0fUKoOpTdLt8z+rp1BXYiTwA9qT2IVnsQZd4VKNPnjAQGFJce2BJAdghLDpxfWMUAikjyWaXQw1WKinCWRUW6ljyWdJ4DxYCWPUH3dJpOxntEodPXhajdj8iagJI3GXH2VIKF44OkownhVHZb0kFoDsOchGg2XX9hNCMA7eA2OJcgOf8QEEe2I47tQll8LerkmWO3EJaMK8ZnixehJblhdkFo0NuZ3IbZibBDR3NyG2ZXuloQzXXJbZidCA06W1CIYWlUNLENIWoPJbVhHkazI/a+Kb1lH6gReCQi48tzlkgkEsl5xXgtpZLGWSKRSCTJi6KEF+1J0EhRonr0EolEIpGct0jPWSKRSCRJiwxrSyTnIZUn66g500DJ9KmUzpwW7+FIJBIPpHGWSM4j2jq7WPmtH7Lp/d3D28qvXMKzj36X3KzMOI5MIpGcD8ics0TihZXf+iE7d37AeuA0sB7YufMDKh78QZxHJpFIXFEcgrBwHomI9JwlEg8qT9ax6f3drAfucmy7CxB2jYr3d1N16owMcUskCYLqaKYYzusTEek5SyQe1JxpAGC5x/arHX+r6+pjOp7xTmXNCTa9uZmqmgRbKEQiiSPSc5ZIPCieVgjAVkY8Z4Atjr8l06fGekjjkrb2DiruWc3GzVuGt6249mrWP7mW3Jyc+A1MklQoqoIShvubqAtfSM9Zct5RebKOTdt2UnXKe2vHslnTKb9yCWsMKuuBOvSc830GlfIrl8iQdoSouGc1O7Zuc8vr79i6jc9/dXWcRyZJJpwLX4TzSESk5yw5bwhGgf3so9+l4sEfUOG679JLePbR70Z9nOdD+VZlzQk2bt7iJa9vp2LzFqpqaiktLorjCCWS+CKNs+S8wVWBvRw9bL3GocB++TePuu2bm5XJy795lKpTZ6iuq4+JoTyfyrdqak8BY+T1a09K4ywJiPG6ZKQMa0vOC5wK7CfsGncB09E9tcftGpscCmxvlM6cRvmypTHxYM+n8q3iopmAPkFyZTivXzQrlsORJDHjtZRKGmfJeUGiK7BDnTwkK2XFs1lx7dWsMRg88voGVlx7tfSaJQEzXnPO0jhLzgtcFdiuJIoCO9EnD9Fg/ZNruXz5MiqAGUAFcPnyZax/cm2cRyaRxB9pnCUhU3niJJs2v0uVI3+YyCS6AjvRJw/RIDcnh1f+8iyVO7aw8c/PULljC6/85VlZRiUJiliHtbdu3cptt91GYWEhiqKwYcOG4eesVisPPvggCxYsID09ncLCQlauXElDQ0PQ70saZ0nQtHV08tGV9zD32o9y6xf+hTnX3MpHV95De2dnvIc2Js8++l2WLr3EzVNbGiMFtj9iMXnwV0IWL0qLiyi/4VoZypaERKzD2r29vSxatIhf/epXo57r6+tj7969PPTQQ+zdu5e//e1vVFZW8rGPfSz49yWEEAHt2ZfYN153FCCwt5UMiJ4OGOiJ9zCG+ejKe9ixbQdP2O0jqmeDgcuXXc7L63435msFCnQ0xWScvoioAjstO2K/jfaubioe/EHE1doBq8CNZtRJM0I+T6Kh1VUiag/FexgRw3DLF+I9hOBIy47q4bu6usjOzmbnrJlkqKH7mT2axtKTp+js7CQrKyuo1yqKwt///nc+/vGP+9xn9+7dXHbZZZw6dYoZMwL/fclSKklQVJ44ycYt73mvT93yHlW1pyh1KHETldKZ0+IexvZGtMq3gikhk0iSDVVRUMNQdYXz2kDo7OxEURRygkzXSOMsGUXliZPUnKqjZNaMUYa25lQdMIZw6eTphDfOiU4kJw9yEQ/JeCdSdc5dXV1u2y0WCxaLJYyRwcDAAN/61rf43Oc+F7RXLnPOkmECySUXz5wOjCFcmjV+wqLjgfNRBS6RhML06dPJzs4efvz4xz8O63hWq5U777wTTdP47//+76BfLz1nyTAr13yTHdt2uIc/t+2gYvU3h3PJZbNnseLqq1izbQfCbudqdMN8n8HAimWXx9xrPh9aXYaDXMRDMt5RCK+RiHPhi7q6OjfvNhyv2Wq1cscdd1BbW8vbb78dtNcM0jhLHASTS3527U+pWP1NKra8N/z6Fcsu59m1P43ZeM+nVpfhMKwC3/kBwq65TKZUypdeIic0kqRHUfVHyK93aIezsrJCMqKeOA1zVVUVmzdvJj8/P6TjSOMsAYLLJedmZ/Pyut9RVXuK6pOnveamo40UOQVOPBfxkEjGGz09PVRXVw//u7a2ln379pGXl0dhYSGf+tSn2Lt3Ly+//DJ2u52zZ88CkJeXh9lsDvg80jhLAPdcstfwp5dccmnRzLiIv6TIKTjisYiHRBIzwu2PHeRr9+zZw7XXXjv87/vvvx+AVatW8cgjj/CPf/wDgMWLF7u9bvPmzVxzzTUBn2ecGufxVeeM0RT1U8Qsl2wwgcEIdlvIhwhE5BQL4yOEQLS0oqYlx8/Inwpc9PYhBvpQUtJiOKroYWvpwBDvQUSIypZuajduorSsjNKS4ngPJ6GI9apU11xzDWO1Bwm0dYg/kuOuEgyqATQ7oOiJCGGP94hCR1VBgJKSjkhJh65WGOqP2umimktWDZCWjaLZYPJsxNAAnKsjlElUIoic7HWNWDe+jFZbjeHiyzDdcCNqXvj5qnggrDa0QwfR3nsLTGYMN/0ThqXLUGIwKYwGQ8eO0/O/T2E7dADTwsWkLb8UY0bimunKhmZqzrZQMnkipYUT3Z5r6xti1a+fY9OOvcPbVlx/Heuf+V9yc3NiPNLERDfOYQjCEnThi/HTIWzYKHvgVAoILbbjCQcfYxYAmgad58BujdrpI5pLVhRIzwGhoXh81YSiIvq7oa0x6MN+9F8eZOfOD3jcQ+S0dOklUc05ay3tDL3+OtqBve5PqAaMH7kW49XLUNNSo3b+SCI0Da2qGm3La9DjXuNJ/iSMt96BuuDihF1SzxNbfT09zzzD0LYt7k8oCparlpG6ZC4GS+JUj7Z197LqsWfZtO/Y8LbyxXNZ9/WVnOvuo2bIwM//8BcOHjrOE5o2oq1QVZZ+5ApeeeXlxL42MeoQtm/ObDINoU++uu12Fh8/EVKHsGiS/MZZNegGy58HlhRGOjBvXwDYbLqRTuTIQFq2ng/y85kLxYDoboWuloAPHa1Wl77QunuxvrMF+/tbYayfjMWC6YZyjJddimLRPc9EK/cSQiDq6rC/8zq0jN1KVZk+WzfSJXNiNLrgsbe30/vnPzOw6WWwj/F7MJlIuf56UufPRE2AmOFt3/8tOw9UuhneexUFS2YGTV3dw/u5aiuc/64Ajv7f75hz1fUo2RNiOu6AiZFx3j83fOO86Jg0zpFDMQDa2DdKbwRqzGONL89/DASAdVA30olEaiYYjCjBvh9FRbSfhb4u/zs7iLbISQwOYX1/J7a3XwfrUOAvzMym+yPX8aU//Y1N2/cMb453uZfW3IK25Q1E3YmgXqdcsBhj+SdRC+M/uXCi9fXRt2EDfX/9CwwEnu5R0jNIveVGUoonoqix9TydIWyDqrLi+78dZXgvAmqBXwN2YBVwGn19byd16Au3vPSTBylfuhiy8lGnz0VJTxzDAsTMOB+8oDhs47zgaE0SG2fNDkMDoIUu5IkIkfKAQzCGUSEC4xAo+sIYPe0RGlSImNPAnKLnlUNE/zIqiNZ6GOyL1MiCH4fNju3DA1hffRl6Q1t05JO7j7OntZsnhHBZIMR/6D0anrbo7Mb+/hbE0f2hH0RRUC/9CMabbkfJzYvIuEJBWK30v/EmveufQXSE/p1XJ0wk7ZbrMU/Nilp42GmMJ2Rm8F/PbXQLYYO74a0E5jDiKXv+28mw5/zsLymdNmXkifxC1Kml8Rf0GUxgStE1M1FkvBvnwIM7qgFS0nWVrXUgDoZNAVVxeL0RwDn+eBlppwcfgXMrCEhJR6Rk6BGOIDzPiGC0QGo6it0W9uRNv0UKyJ8KQkM0nwpL2R0sQtOwH6vG+so/EK2BRSSqegeo7RtgdloKJekpw9teb+nyW+7laojzc7Ii3lhF9Pej7d6F9sH74U9ohUDbvZWhD7djWH4LhmtuQUmLnSEQQjD4/nZ6/vA/aPXhL3uptZyjZ/1zGGbOIu3GqzFPSInAKHU888kqkAXDdfnPAw/gLmqscfx1ViGUASuANeiT1mFthapSfsl8d8MM0NqA1taIMmkmypRilCBqaiOCwegwyrEV38VarR0rAvecXRFCFyRZB2OTw426AVX0WV4sjLSq6p9fhOT23hAAXW0wFGXP06HARrMRre+3UBSEdQjOnY7qZwZgP1XP0CsvIU7XBrR/25CNr+yv4fWWkcnQTROyeGpxMbs7evjkniqfIck///Qh1m141c0QF+RkYe3qcRf/hChyE1Yr2v79aO+/DbYoiQdT0zHceDuGK65BMUVX2T106LCuwD52JGrnMF24gNRrLsOUGXpC2ukp//xvb3Lw+Eme0DSmAdcw2gN2hrB/hW54nwO+6bFfO3AdsM/ldeVLFrLuodXkZmb4HohqRJlajDJpBoohygl21aAb5WifxwOn53z4wpKwPecLD1cnnOccmnF2IgTYhnQjHY0cbqy9WucULFLeuduxYytIE85zdbbo1yiSKCqkZ4Om6V57DBCKihjogdaGiB/b3tyK9dVX0Y4cCOp1eti6iyeES5cyBS7Nz+In82Zy8daDPkOSy2ZM5ciZxmFD7PSkfO1/7B/rAgpxC7uGVnkcbcvr0BejNcBzJ2As/xTq4iUoEQ5l2k6dpucPTzO08/2IHncszFdcQdrS+RhSAn8v3pTXzmu5Cd0D9pyoHQQWA653hIKsDKw9fTyuaW6e8vwLS3ngro9TMrVgtMc8FiYLyrQylPzCiF8bFFU3ynEquRvvxjm8qY6igMkCRrNuoG2DkRmV0yjHOtzs9GgjakjjU2+tACgqImeSrmDtbI7M55meDShBi73CRREaiiUNMW0OorstIiI4rbMH69ubse/cFvRrfYatBVS0dPEouhe9prULIUZCkmuAS7PS2Ha63u21Fzr+htpYRQiBOHUa++bXoD3GAsH2Fmx/+i3KO5sw3HoHhjnzwj6kvbWV3j/+kYHXN0VnsjwGQ9u3M7RrNynXXUvqwiJUk/e4kGt98v3/8wI7D1SynhEhl/NaOluGeNbl70c3zJt+9m1sdo2SqQVMyM5k5ffXUrF7ZKJYfsl8/56yL6yDiNqDiMZa1BlzUXIm+n+NX1zu+wkQEx6vYe3IxCEUBcwpDiM9EHoNrlOBHW+hltMoKwbHf4foHTonGXEsd1IADAZE3hRdbdx5jpDej5sCO35Kd0Wzo6RnIzJyER3N0NsR9DFE/wDW93Zge+cNvSQtBGr7BgDfxvRE3wBPLS7my/tqqHAJe6vAnq6+Ua/1dQMPpLGKdrYJbcubiPqTQb2HSCMaTmH7/c+wl83HuOLTqNOCXz5U6+ml728v0Pf3v8JghCb7oWC3MfDGGwy+l0bKTTeQWjZ5WNntzUtWgd8wIuSCkWvpzB2vxnvu+MZLF7qd+qWffpuqM41U1zcF7yn7YqAHrXIPZObqyu6MnNCOY7LoGpMEsmjSOAeCqoIlTTdI1oHAhTzDnmoCqKddESGKxuLl+Y+BAmAyIyZMg8Fe6G4L7IWWNDA5FNgJ9H6qqquprj1FyewiSrLNASm7hc2Gbc8+rK+9Av3h5eOL0nTxkC9jOjsthVyTkReWzOGWHUfY397LI8AdeBcDlaGHOL+Gxw18jNWjtPZOtPc2IyoPh/VeIo2oPIS18hDqxVdiuPmfUPP91+EK6xD9m16j90/rEB6L3scT0ddH/4Z/MJCXR9otN2KZnsOqx54d9pKd6YyvAU+jh61L0I3xvYxcy48Bb6GnKJw4PWJvlE6bEhmj7El3O9qR7ZA3GXVqGUpqemCvM5p1wxzO8k+SoAgv5+wPv8pux5QnoRuDuODPSCdqDbUXBIqu6vZVv25MgdQ0XYGdQLS1d1Bxz2o2bh7pArXi2qt59ndrybF2ec2vC7uG7Uglto0vItoDnJQEgDPn/LhL2Po+R875hSV6046q3gGvuWdPMdAWdM/KbDLQbB35jnlTa4u+PrSd29H27fQrkqvq7ONEdx/FWWmUZMWhxMZgQL3qRozX3YqSMTosKzSNgXe30fvM/6KdDb5TXKypzc7j8jfdl1ZtA67HXbR1BbAT93zyCmAp8DB6KNvTY449ii4YK5yNYvahVDeYdKMcYwV2IDhzzscWlYadc567v2qc5Zz9YTCCIUNXi1oH3I3wcMg38Q3ZMM6e3Z7K7kQJxweBgoC0TERapu5FOz1PgwnSMsFuSzjDDFBxz2p2bN3mvlTk1m1U3LOal/9vPcJmheY6EHYqT9ZRuXs/M48fojgKNeDewtY35etqbSe+wt/r0D1lV0/KqfRuHbJxom+AkoWLuOCzn8HgMMxicAht/4do29/xG5VqG7Tyxa2HeLVhZDJyS2EeTy+fT64lhgIeux1t66sM7dqC4bqPYbjqOhSLXuIzuG8/+x97jJrKSopSzMxOiXHpTwicOHUacL+eFehiL9fv5D+jG+YtQC+6N12KrtZ/GLDZE8EhEYjmU4iWMyhTZqMUzBzppx4nBXYoyLB2WGdxrERkG9Lz0QkW8g0OoY9dUdAzTSLxwvFBoAAiMw8ycmGwHzR7QhplgMqaE2zcvMVL7bCdis1bqK4+QWlxEa2peVSs/BKbtu8afq3T8OWaIveVd4atq3sHOOFR5+zEV/jbKQbasKQMuxBur801GfX/bjzF4C9/imHpMoxlxWhbXws4HP/FrYfY1djmPolpbOPurYfYcONFYb7zEBjox77xeezbXke5/nbObHiFe/72Em929Q7vckNWOr8unkqO0d0LqhkY5OSANSEM+KwU3Xg5r2clsBFGfScb0Mui6vChIZhaEIPRBohmR9RXIZpOocych1pYrE/SkwRVUVDDsLDhvDaaxG5a5FR2WwdidsqoIoRum2OsJI0GurLbmV5I3EhGTe0pYAxFc+1JSouLWPnVe9m5c4+7YWrt4sv7aobDzZGkJH20UXZSmp7iVbV9n6J72ddP8N/i0L5zG2rPuYANc1VnH682tHlXkje0Ud3VF58QN0BXO9Z3N3PP315ib1ev+zXq6uVrNfX8cY4uJGu32bm3pj4gAx4rilMs3JCVzpquXgQjYWvP7+SdwLeA1YqCEMJ/A5FEwDaEaDkD0+fGeyQSdPMikSQFxY4VsrZ6bB/2RopmDXvXT2gad6ELdO4CHhfweksX1b2xnxw+tbiYS/OzqEBvQFKBnpd2DX9HkhPdo9XgMDKJqemKX1tUgKq2Tt7s6uUJcL9GwJtdvZwY0HUD99bUDxtwZ9h4r8OAx5NfF0/l4qx0KtBLpsD7d1IDFs4vc7vuS8cQgUlCwxnWDueRiCR+QkEicVBWPJsV117Nmq3bEHa7i6LZwIrlyygtLmLTm5uBsUucfHm50SKQ8HckmZ2pe8W+lOTF8fKaHdR26jl6X9eodmAIgeBNh2F28/6BCocBj1eIO8do4I9zZnBiYIjagSF+m5rBmkPHER6NQ8ovmR+dsiiJG4qihLmec2JaZ+k5S5KK9U+u5fLly9y8kcuXL2P9k2sB/9717LTYGmZXStJTuGliTtQnB6XZadxSmMcaRfc269D/3qfoorC4hbQdFGXrilhf16goxczJAb1XwlgGPNrUDAzyVkfPsCfvyewUM9fnZPDXH/8HSy+Z79NDLp02hfKli6VhlgSF9JwlSUVuTg6v/OVZqmpqqa49SUnRLEqLi4afH/aut7zr7sk4cryx9prjxdPL53P31kNUuKq1p+hq7XhTmpftlrcdvkboOeXZKWaEQ/vgy/sviqLX7C3XfWVGKk+XTvea687NzJAechxRCFOtHbGRRBZpnCVJSWlxkZtRdmX9k2u5644KKj4cWR7Rs8RpvJNrMbHhxouo7uqjpsu9zjnutc/oeduv1dRT4UXsBaOFV94MeKRxqsJ/1djCsZ5+9yYjPf0sO1DNtoUlPsVoUWscIhmT8RrWlsZZMu7Izcnhxf/6Nod/9sOY5HgTEVcDfPM0vUNXwtQ+Mzpv661Myp8BjxTePGWvuW67xt2Vdfx93qyInl8i8YY0zpJxy1glTuOVsQxwwtU+o+dtfXnBgRjwSHBvTT17unpZzEiXL1+57vd7++MqRpN4IVzFdWI6zlIQJpGMJ1wNsLP8aFdjG3e8vZ9XG9p4QjCqxOxVR+1zouIUXkUrlP1mVy+z0D+vnzm2+xKrQWzEaJLAcYa1w3kkItJzlkhiRFXvALVRDLOP2XykWe+hPlbtc7xV3PHAqQrfx0go+2W8LEACw551NMVoEokTaZwlkijTNmTjK/treN21B3cU2ol6az5SifviC4la+xxNxmr/6WzHCSOf29+BC3Dve74YOEn0xGiS0FHU8BbLStSFthJ0WBLJ+OEr+2vY09rlFmre42gnGklcm4+0AbcCcxjpYjXBbOReErP2ORq02+zcdfw0Vx48weeq6rjiYA13HT9Nh22kF35xioUr0lOBkVB2LnAU3UA72QdcGgUxmiR8ZFhbIpEEjDOEbVAUXm/p8h5qdrQTjVSIe7j5SGMbM8TolZLWWG1YLEYqBkcWNkmU2udo4Nr+01f/boA/lE1n2YFqvmbX3ELZTcCV6ancWzghIRbdkPhAVfRHOK9PQKRxlkgiiLcQtgp4rtwbrXaiTy+fzx1v7+fd5k7vE4JBG6/cuBibJuJa5xxtnEKvQNp/5hgNbFtYwt1VdVT09A8fI96LbEjOb6RxlkgiiGsIe7iBBbAS+NBlv2i1E821mPj3BbN49639PsVfNk0M1z6PVwJp/+nqCecYDfz9gllRL9uSRIFxuqCzNM6S85JoKKerege8h7DRxUU/Bz5D9NuJJvrCF7HAc91lJ/7af45Vdy1JTGSHMIlkHBBN5XRtn74cpS9v7QHHA6LbTtQ19+y5hvQtU8an+MuTeLT/lEgiiTTOknGNp4fsLey8xqGcfmHJnLDOVeQIUfvy1jYsKcMuREzaiSbywhexIlbtPyVxRgrCJJLkoa27h5W7j7t5yFflpvNeuxeRUISU06XpKdw0IYs1rV2jPNab8rO4fkJ2GO8oOMZa+CJZGate2Ruxav8piTPjNOcs65wl45K7f7Z2VG3x/nbdg/IVdj7hCEuHw1OLi7k0P8ttbd9L47giVolj4YtADXNVZx+vnWlJqHaegdQrj0U0239Kzj+2bt3KbbfdRmFhIYqisGHDBrfnhRA88sgjFBYWkpqayjXXXMPhw4eDPo/0nCXjjsqaE2z6cP8oD7kB+Ca+w86RUE7nmoy8sGQO1b0DCbkilq/lIhNpxSpPAq1XhuC9a0nyo6gKShih6WBf29vby6JFi7j77rv55Cc/Oer5n/70p/zyl7/kD3/4A2VlZfzgBz/gxhtv5Pjx42RmZgZ8HmmcJeOOmtpTwGgP+U7gW8BqPPomR0E5nWgrYvkzvom4YhUEXq/sbdlHWad8nhDjsHZ5eTnl5eVenxNC8Nhjj/Gd73yHT3ziEwA888wzFBQU8Kc//Yl77rkn4PPIsLZk3FFcNBPwvrKQBlyYm5EwYedY4Wu1qru3HhpeMCMRV6wKpF4Z3L1r5/vb6/CuJeMbRVGGveeQHg7j3NXV5fYYHBwMeiy1tbWcPXuWm266aXibxWLh6quv5v333w/qWNJzlow7yopnU37RItbs2+9VmJXIYedoMOZqVQ1t3N7UDiTmilWB1CsH0w1MIvHF9OnT3f798MMP88gjjwR1jLNnzwJQUFDgtr2goIBTp04FdSxpnCXjkj98czUVq++nwrWe2cVDTrSwczTxtloVjBhf4fibiE1LAqlXfqujBwi8G5hknBGhsHZdXR1ZWVnDmy0WSxiHdB+PECLoZifSOEvGJbkZGeedh+wLfx3Dlk/OTeimJf7qlf151/ky5zy+UQmzzln/k5WV5WacQ2Hy5MmA7kFPmTJleHtzc/Mob9of0jhLxjXnk4fsi0A6hvlqWvLdxbN57UxLXOuk/dUrO73rez286zWABfhZ/blRqm6JJBoUFRUxefJk3njjDS66SBdSDg0NsWXLFh599NGgjhVb4yw0PYQghP99kwBht4MCiVnCHhzOKzIe3gsAqamgqqBpQb0sGj23w8aSgmZJHVO96atEyom/jmGeTUsmpJj4/ocnWLZxz8j+ESqtUtPTwWAEu83/zi6M1ff636dNYMWRXipctq0APgb8czTzzmYzKONIV2uy6PfnBG3M4Y1Y99bu6emhurp6+N+1tbXs27ePvLw8ZsyYwb/927/xox/9iNLSUkpLS/nRj35EWloan/vc54IblxAxsJRCgG0QrA71m2oALbAGAomIEAKtoQbqq2DidNSZF6CoyRk6EwA9nWgfvg0DfSgLlqFk5aGQnBMogYJWfRAObEPDgq3qNPbDB/y+Lpo9t0NGNTAway5H3t1H37lW5n/yRiZq7dA7MsZg65MD7Rj28Tc+ZFejruAeLq1S4LIpeaGXVuVPwlBUDF3NaIY0+k61MbRnd2jH8uCtjh4+V1XHFqAXKAFKgTp0Vf6fSqdzfU5GRM4FgKJgufxyUqdmYtAG4aKrICN95B6XbJhTUabPQcmbjKKqYEoBgymhjXRXVxfZ2dk0rFhCVhi/0S6rjcKNu+ns7AworP3OO+9w7bXXjtq+atUq/vCHPyCE4Hvf+x6/+93vaG9vZ+nSpfz6179m/vzgWudG1zgLAXYrWAe8e8tJZqQFIFrqEScOgqfxmlaGOmV2wq5w4okAGOxHO7AVWhvdn0xJR12wDFLTk8aTFoqCqD+J2Pk6CPfvlF1YsB04ilZb4/P1n9x9nD2tXaOM0aUOdXessRXNpXL/CVqOuY/Zkp3Jgk9cR3bnGRgaiJgRdfW8hYAFG7a7qZ9BL0+qAA790xXBhbgzslDnXIjS14ri8Xu3qhn0HTmF7eiRwI/nhZqBQa48eMLnmLcvKI6Y52xauIi0skKM9h6PJyxw6UfAoAQdFYgbBhPK1FKUSdNGOxiKCuZUPcqRgMTLOMeK6H3qdisMDeihbF9odkBxhB8T10gLQHS2Iqo+8D3OM5VoZ6pQiheh5E9JaKMmbDa0ozt1z98bA71ou1+D7Imo8y4Hkylh349AQbQ3I95/BQa9t980KIOoC2ejzZuLdfdeRLP7ZMTnUo8R6rkdDNr0ImrrOql//g2vzw92drPn6RfJmFpA6uXzxiyRqg6gBMqb531pnt7FKOzSKrMFdd4iFGsXSk+z111MWg/Zc/MZmnsrfXsOYq877f+4XojFKlTG4hJSF5VhFt3gaZhB95q3vwkZ2XDRlWAfGvv+F08UFWVKEUpBEYrJR5pCaDDYC6oRzCm6M5WIjNPe2pE3znab7ikHbGyFvq8zb5NAX2YB0NeNVvUBDPYH9ApRsw9x8jBK6cWO8HDiIISGVnMQqj8M7AWd59C2vwQFM1FLLw6rRV6kEQC93WjbN0FXm7/dURQwmIZQr1yAvW8R1h07oKsD8L/U44m+GBjnSVOoHzBR84Jn65TR1NttNNaepqWmFgjPiHrtDNbejUoYpVWqijJvMapiRelv9ft+AMx0Ybp0FkOLL6Tv/d1orS0Bvc6VsVTd4bT1VAsmk3b5xZiVbhTR7f8FPZ3w7iaYOAUuvBQGvRjyOKJMnI4ytRjFnBrYCzQbDPToYW5Tiu5MJRCKGl7aP1ElA5EzzppdnznaraG93mmUE8BIC4ChAbTqfdDTHvwB7FbEsZ0ISxpq2SWQmhFXIy0AUV+DOLiNUeH4QGg6hdZ0CmZegDpzXlzz0fq1GULb/QY01QX9egWBMc2O4bql2Nqt2Ha873epx0j03PZJdi4tqRM5unELwuY9FFpvt9Fot5OlKPypv4fd1iG350M1omM2JwG+xug2p/5Kq5TSC1EzLCh9nWOe2+trEViMPZivns9An5n+d99D9Pb6f6EDb6ruXKOBr4XY1lPJyibtI5djsQwEZpQ9OdcI77wEM0qg+ALdwMWTnEmo08pQ0gLv7+yG3ao/jGY9hJ+oVm2cEL5xFppulG1D/vcN9HgAisHx37E1BMJuQ6s9BG2N/nf2x2Af2sF3ISMXteQiMFtiaqT1HHkDYt9msIU4aXLl1FG0U0dR5ixBmTwDJcaqe6FpaPu3QW14+UkABQ1TrgFj+bXMPdvFTUdPs6al02tHsah4zalpdE2axeFN72Lt8S5Y69Y0ftHTMWyMVSAT3LzcL+HNiCrcMiXXr9fsrzlJSV4GFW0jBmWs9aCV6bNRJ01A6WmFMFf3UoSd1NR+LDdfTn+bnYH33gNr4N9fV1X3XcdPB7xoxjCWFFI/chUpWRqq6Av/FnS6Wn/MWQxTpumh4liSnoM6fS5KVm5kjmcb0h+mFN1QxzssPE7D2qELwjwV2NEiRqIxIQTamUpoPBG9k+QXos6aj2KIbu5GAHS3o+19C/qjNFs3GFEuvBIld2LUjbQAtMr9cGh71M7R2mtn5do/8lrtmeFtUVFrG430z5jL4c276WsaO3T7SFcb1dYh1gLTgGtglODpd8C/ovcMd7LEbOF/Pv8JStOGULo7fB6/qrPPr/ALGFvdPXEK6sxZqN3ec8r+qGzpoKa1i5L8bEp9rHdtN6TSV9fJ0K5dQZVhBi0SMxh0BfaUVAz2KN3XFAUWXQlZWXr6L5pY0nUFdu6k6AlVFSVuym6nIOzsxy8PWxA2ecOOcSAIE0KfNVkHiYlX6zTMUTLSAhDNpxEng19vM2haG9BaG6CwBHVqScR/MAJgoA9t3zvQEdrNMmDsNsSBrXrofsEySIt86F6gIM7UIHa/EbXa+MqmVmrOdVAyMZdXvrWSY2d7qNxzgKLO1oh7zNbZF3BsdyXt72/yu2+93cZu69CwYXG+wtPLXYFumNekZ5GvGphiMDDVYKTuxc2czUhj4aduIKenAQZGayYCaU4CeDfKmTmoZReg9J5DCcEwt/UNsOr5t9lUNTIZKi+dxro7ryc31b1tosHeT2ahGdsnbqHv+Bmshw4GdI5AFs1wGmfzRReTOnsSRq0XomWYQf8e73sPjCa4ZDmYDKGnAn1hNKNMK0WZMDX6JZ5CwFA/KIO6aMwQh+VFx6nnHJxxtjnLouKQD46wkRaA6DiHqP4w9krxhmq0hmqUogUoE6dFxKgJmxXt8PvQWBvQ/pUNzdScbaFk8kRKCyeGfuLBPrQ9r0NmHuqFV4LZHPb7ESiI1kbE+5uiFplp6+1n1VMvsunISKSkfN5s1n35duZ+9ErsNgvWDz5ENIa/qpE2o5jqEy2cfe71gF/TaNe/k07D4lwzyzW/XAn83vHf801mpnqUvFh7+vjgD/8gffIEFtz2EdKbT4wq8fHXnGQUllTUeQtRBjt9KrADYdXzb7Ozut493Fxdz8rn3uKlu1d4fY1R6yGrNIehshX07T2G/eTYUa5AFs0wlpaRtrAEk9YNWgzDzTYr7HwL0jP1GmlhDbphzihUA8qU2SgFM1GMMTaSQoPBPv3+bEpJ2PKrZCLwsPZATwKVOzlmSiFMEnSVbxda5Z7EaBigGnRld/aEkIya0DS06g/hRGDeRFt3L6see5ZN+44NbytfPJd1X19JbkYE2jNOnIY651K9kUGQDDdEeX+jrniNIrc9/hw7j9XyhCZGjIOqsHRuES/dd6c+HgH2AQO2nbsQHf4V4Z6IydM40yWofWfHmPs5BV9Or9e57asdLW4h2VuB7cCPgP8D3nY5xhKTmW9k5JA5xueeW1bEhdcuwtJQPSoS4bc5icGAOm8xCoMoQ4FULvimsqWDeb/8i89w89H7P+MzxO1EAEP2DPp27EVrbvK5nzPn/Dju5VUXT8rnxX/7AhZCEHpFg7xJsOAyGOoj+IikgjJpBkrhbBRzgnS1M5jAEt12r8Nh7U9eGX5Y+4X3Ey6sHbhxDkF9GXWCUHYPN92o2gt9Xf52jz2mFNQ5l0JaZkBGWggQZ44jDgeXh73t+79l54FKntA0F6OksnRhGS899M+hjNw70+egFl0Y2HsBGBxA2/k6tDREbgw+qGxqZd5//s63cfivf6a0IM9lfCr2ThvW7e97DQ+PIjefZlMuxzZuGdMb8hR8gbuRdeacn0A3LBvRDYsVXRj2a0a8ztVAicnMI1l5o87jyZQlCylbPAOjnyjLcGOSRYuZM20CykBkDNmm46e57ZlXOY2+drQTZzevl1bdQnmAvbCFojIwYKH/3R2I7tG/6w6bfZRa++bimTz7uWvJS03AlaqmFkHZ/MCV3XmTUaeWoaSmR3dcoZA29gQrXJzGuelTV4VtnAv++l7CGefkjj0EqOwWNivaiYPQ4XuGHXesA2iHtkF6NmrpxWBO8WrY9Bz5GcT+LUHnqiobmtm079jo0hlNo2LfMaoazoUX4nal7jha3XEovRi1sMinaEzY7WgfboHTlZE5bwDUnOsAfOciq8+1uxlnBQ1jtoqh/BpsTT3Ydm0Hb2VPael05s/k8KYt2AJQLP+ip4NqR1552Mhah/hFTwePZOXx2dQMfqN1UeESil5gNHHQZuXXeFm72DpEvd02KrztSePuAzTuPsDsm65i5tQ01HPuE6JRjUne2u8zHxwKxfn6DdBXuLkkP/CbuiI0Ui39WG66lIEOQf+778HQyGRnuLwKhfrZxcyblkFZfoilRLGgvlZ/lC6AaTNhwEeoPTNXV2Bn5MR0eJLYkdzG2Ynwno8WmqYbiKaT8RlXKPR2ou3bDLmTUWcvQHHcaAVAZ6uuwB7sC+nQNWd1dbBPo3Q2gsbZSdVetOr9KBdegZJfMGykBaAd/QCORqa3cjAUT8wBxjAOE72XnCjChmlSCoaP3oztVBP2Dx2LQpjM9E0v5fAbO+lvPeb1tZ54Cr7A3ch+q7OVgy7lb2UGI/+SnkWXEBzsbvd5DRvtdr/G2cmJ19/jhKoy7xM3MNnSj9KpG+Mv7qxm19n2oPLBwVA2IYfy0mmsqa5HCOFWAlZeMtVvSNsbqmYlLQsst11Nf2Mvgzt26FELg5GUq67gkolmlmgRKveMBVUHoeoQLFwKuXm66AogJQN1xlyUnAj/TpMZVQlzycjxIAhLdByGWQDa2ZNw+mhchxMW7WfRPjgLk4tQ8wvR9m+BrsC6LfmiePIEYAyjNDlKP3hhRxzahjCnoMxfBm1NiD1vE+sadidlBfmUz5vNmmO1CM3FOKgK5XOL3Lxmb6gMYZ6Zizbjo/TUNnHkrd10vvdqUGPwFHw5uRq9nrnOZnX3qO02/tTfw1fSx/Y6pwRbpqdpHPnr61SmpbLgjptoT1N5tfYtL41JBBVVZ6hq6QzJeHqy7s7rWfncW1S4qrVLprLuzuvDOq5BGyCjwEDKJ25isN1KSo4Rg9YHyWSYhxFwYIcurrrkIyglC1DyC0PSc4xvwlRrJ1QfxxHGl3F20ted3IbZlbO1aM11YRtmgLLCSZQvnsuaA5UITXMxSirlC8si7zV7MjSAOPQeNJyK7nkCYN2Xb2flUy9S4arWnlvEui/fHvAxVGWQuqYeOmuD71TmNKJOI1sJ1ACb0UujfoV3j/or6Hnp1dahUWsXL/Gi2A4UW18/R1/ZRt9SPQvsM7rSGhnjnJtq4aW7V1DV0kl1a+eYdc6hYLT3YrywFOp89I9PJuw22LUZ9YryeI9EEkPGp3GW+GTd11ey8v+to8JVrb2wjHVfXxnHUcWe3PRUXrrvTqqa2qg+107JxFwEgh21DZRMzPXrPYfLVIORBUYTX7VZ+SHgOpVUgYUe+7uGrb+RkcMvejqo8CIkC5dI5oMDoXRCZI2y5Pwj1us5xwppnM8zcjPSeOmhf6aq4RzVZ8+FX+ec5JQW5JGfkeqz5jk3PcDFAYLAqdJ25pSPAouBdcAB9HacKwHX5Ulcw9aZqsojWXleS7DCJRr5YAisE5hEEhIy5ywZT5QWnt9G2ZVVT73IzmO17gKoY7WsfOrF4ZrnSOJNpb0G+BbwCo4QNvBz4DP4DltPNRgjZpRdiWQ+OJhOYPFETh4kiYY0zpLzmsqmVjYdOeGlvExQceQEVU1tEQ1xj6nSBqoYCWE/4HhA5MLWgRDJfHAoncBiSbJMHiS+kWFtiWQcEmzNc7iMpdIGqAac0r/vZ+aiQUTD1sEQbj64sqWDTVVnoq78DodEnzxIAmCchrWlJn8cUdnQzKa9R6hqOBfvoSQNrjXPrvireQ4VV5W2t/MdZiSEfbHZwqVmS1wMcySoadU7do2l/I4nzsnDE0JwF3q3sruAx4Vgk2PyIEkCnAtfhPNIQJLzVy9xI+r9sscx4dY8B8tUg9FrKdS96DPlB4htCDuaxFr5HSyBTB7i7dlLzl+k5zwOWPXYs+w8UMl64DR6j+idBypZ+f/WxXlkycG6L9/O0rlFVKD3dq4Alvqpea5samXToRpOdQXfp/0bGTmUmMxu55thNPHNjGyezJnAI1l5Yy5gkSwMK78VhfXovbPX41B+l06Lu+FznTy4kiiTB0lgKKoS9iMRkZ5zkhPTftnjFG81z748Zm9LTQayIpQr0SyFSjRCUX7HUjl9aeEE1jS2RrRsTBJj5HrOkkQkLv2yxymlBXluRrmyqZWacx1uxtpb2ZXrYhXBEK1SqEQiGOV3rJTTnudR0aMXw+eMQBtRiSRcxved4Twgbv2yxzHevOPyebN5+GPLvZddEfiKUIlKvd1GS083hVFSUAei/I6Vctrbeb4GlBbm8+ydN0iPOdlQCVOtHbGRRJTkvJNIhol7v+xxiK+mJPd266uBRWJFqETBbU3pDviPX56OS51vrMqufJ4HqGgIv3+9JPaM1zrnBJ0zSIJh3ddXsnRhmbug6Tzslx0JnE1JntA8yms0wZ66s4BvAVHQK0LFiXq7jT1Dg9TbbW7dyobFhA5vNZbEquwq0cu7JBInyTXNl3hF9suOHP6aklw6YzJrzjS5lV2FuyJUrHDzkh2owG+If5OQWJVdBXoe2c4ziRinTUgS+24iCQrZLzt8XJuSeLt5/+qucr734ha3pSaTpS7ZW0/vrwHPA1912S8edb7RWnAj2PPkp1m47emNsp1nMiHV2hLJ+MdfU5JLZ01xK7sS9YMYtuyI97B94izXUsFvT+9Sx/Z41flGcsGNUM+z8rm3ZDtPSUIgjbMkYfBWuhQP1n35dlY+9aKbd1zu0ZTEWXZ1uPsMZ7wdJM74CmH7Wif6SfTwfDzrfCO54Eaw5xEIXjh4IuF7gUu8ID1niSQ6+CpditZ6yv4IpilJouIrhO1rneifOx4Q/zrfcBfcCOY8+WmWUbXVsp1nshFuf2xpnCUSr8R6PeVA8WxKkqh4dhrztyylt3Wiv5KeRUtGGv90xxXnlQFyrXmeBlxD4vYCl/hAVfVHOK9PQKRxlsQFZwjboCgxXU95POEtdL3EZOZ6ix5t8OUBelsnOlNVKc7ITEjDHC3ltLea5xXAanBblES285S4YrPZeOSRR/jjH//I2bNnmTJlCl/4whf47ne/ixpBQy+NsySmtHX3surx59xC2BC79ZTHE95C16utQwwIAfj2AOO9TnSgRLudp7ea5/XAp5DtPJOKGOecH330UX7729/yzDPPcOGFF7Jnzx7uvvtusrOzue+++0IfhweJ+8scJ1TWNVLT0ETJ1AJKp02J93DizqqfPeUWwn4e3YvzGUqM8HrK44F6u42D1iHfoWublQVGE6ttVjcP0HWd6GQg2u08vdU85wJ3A28Dv/un5SwvmiI95kQnxsZ5+/bt3H777dx6660AzJo1iz//+c/s2bMn9DF4QRrnKNHW1cOqH6xl0+4Dw9vKlyxk3UOryc3MiNu4KhuaqTnbEpdGJZUNzWz68IibQfl34I/oYiW3UGKU1lNOZryFsf8XPRTrnMI4Iw4rUtJ4e7CfCo+QdzLUY0Ns2nn6q3n+0pK54b0Jybhk2bJl/Pa3v6WyspKysjL279/Ptm3beOyxxyJ6Hmmco8SqH6xl5weH3Gf9Hxxi5ffX8tJPvx3Vc3szwG3dvax67Fk27Ts2vF/54rms+/pKcjPSojoeJ75W0FoHLMYjlOhnPeXzBVex1+97u0aHsYHPA6849ndGHIqNJpZbUpN2WcpA2mxGwqP1VvO8fMYkVl4yR5ZOJQsR8py7PNZmt1gsWCyjo0wPPvggnZ2dzJ07F4PBgN1u54c//CGf/exnQx+DF5Ln15pEVNY1smn3Ae9rLO8+QNWZxqiEuMcywKsee5adByrdJwsHKln5/9bx0kP/HPGxeMPXClr7AQ3YdN+d2DSRlKVLkSbgVpvok5qt6L2xPVuJJuuylLFq5+la87yvoYXfbD/E1lNNbD3VBLjnuGVLzwQlQmrt6dOnu21++OGHeeSRR0bt/vzzz7N+/Xr+9Kc/ceGFF7Jv3z7+7d/+jcLCQlatWhX6ODxIvl9tElDToP+wfc7665uiYpx9GeBP/uQpth71pojWqNh3jKqG2Kz5XFY4ifKL5rFm/1Gv3bdunDc76mNIFoJtten8m0yh67GIVTtPJ6UTsrn/pfc4dLp5VI77s398A5NBlS09xzl1dXVkZWUN/9ub1wzwwAMP8K1vfYs779TLPBcsWMCpU6f48Y9/HFHjnJgFXmEi+vuIZ2F5cWEBAGvR2yI6cc76f/bHDbR39wR0LM0uaDrb7ne/yoZmNu07xhOa5rGaksbWo7oy2udk4ey5gMYSCX71zxUsmVvkvoJWkoawhQCj2Rzx4zrrlNeC27X8FbpQydt3ak16Fk/mTOCRrDwyQ/Qi0iZNQJhTwhh5ZFl35/UsLZnq/l0JQjkt7CLgczlz3E8Ij9XIhODNEw2878h/x23lrsxchEsUReKCM6wdzgPIyspye/gyzn19faNKpgwGA5qmRfRtjSvPWfT3Ig7tQFR+CKkZMG02CHtM7XRbVw/fWPsHAH7meFwH3AH8B3pu9dDhqoByzwcO1PGP3zxP47FKLr71em775JVMyvZuDHzlc692+W+fIcLJ0fea+wftvP/2UfY+/xK35GTzlS+txJwySGlBcoawOzvgzKad9B09ztRLL6GrtY3u2tqIHLvRbgd8X0vXVpvOMPbNKaHrBiy52Sz6fDk5A03Q0QEzSxGtDSiaPeRjRoJQ23mKjHy05hbE5tdQispQc7NQesee4PrLcX+VOLX0tKTCJR8BVaAd2IoytQRl4nSUJFmeNCbEWK1922238cMf/pAZM2Zw4YUX8uGHH/LLX/6SL37xi6GPwQvjwjgL6yDi2F7E4Z1gc8wu+7qgch/kTICC6SBsXl8b6VInb0KwrwHvALegz7pf8ZN7rj3Vyobf/Y3q7buHt+195S32v76VZZ+5jfJbFpCZ6n7pfOVznQZ4+QWzWXP8JELTXMLJKuULy6Ia0rbaBXt2nGTH+g0Mduo3wN7mcxxb/xJ5xUXM/vR1UTt3NOjrU6nbfIiunSNlE/379mMyGJh25RW0VtfQ39wc1jmc60L7upaurTbDCWMbUiwsuOtWJpp7Ubrr9I3WIcSxfZCdD5OnIc6dCfm+5y9HG2gON9B2niI1G613EPHBrpFttZXYTyoocxegmhWUAe8RK3857o967B/1lp6qChd/BNJSwToIjnmSOH0UcfYkyrQylPwpKAnaF3o8s3btWh566CH+9V//lebmZgoLC7nnnnv4z//8z4ieRxFCBBb76Uu8RciFZkfUHEIc2Ab9vWPvPHEq5E8CTTfS0Sh1qqxrZN7K+91yu6Ab5AqgEn3lnzr0MN3v/v0rfOnWEePUdK6HfzyzkX2vvDnmeVIyM7hh5T9x3UdKsZhGfpy3ff+37DxQyeMuBvheoBu4br6+5tCbh0aCotFUa2tCcOhgM++u20B3w9kx95160UKu+fiVTM9N3BvNoNVA/Y5aWt/cosezfaCmpGC5aBFN+w5g6+72uk8gCupHutqotg7xBO51yiWOVpthKbAVhbmfvoXpk40oXW1j7ztpKmTnorQ1Bnx4f81DIt1cRJjT0IQRcWQ/jBVaNJpQ5y1C0fpRrAOjnr7t6Y3srK7ncY8cd4cQrMP7b/ro/Z+JvHGevwQmTITB/rH3S8tEnT4XJXtCZM8fKdKiK5rr6uoiOzub1q9/kiyLKfTjDFrJ/38v0NnZ6ZZzjjdJa5y1uirEh1vA383FDQWmFkFGNrc98H12fnCIJzRtRPyhqiy9ZH7IpU6bdu7jtm89ymn0nJUTpzHeCJQz8sMGfULw66/fw/ubdvPen19Es3n38L2RNXkSK774Ca68qBCDqtDe08fK/7fOTa19HXof5W+rKksXlvHLL32S6rPnolrnXHWigy3rN9JyrMrvvi2anTahkaeoXHH9cq6+eRET0gLPFUYbm12h4eA5ml95EzEYeM7PkJODcU4ZTbt2o1mtgO92m872ma4Es28wzLppGcXzJ2MIwtgCMK0YzEaUzha/uzqN3BNCjPy2FIWlJVN56e4Vfp8PFGE0IUxZaEf2w9Bg4O8lJQ113kKUgXYU+8jvrb1/kJXPvTVq0mC1a+ytbRxltIMdr19mXwAzS8CHd++TrHzdSKcnjmEBYmecv/Hp8I3zL/4viY2zZoehgWHPM16I5jNoe7dAS33Ix6hs7mDeQ//t08M9+uwvQwpx+/OctzBS7nIR8EVgtaKQo5q4yR666nNSyWxu/9LHWFyWT2VDM/NW/4gHgK8wskbv8Htb+52oGeWGpn42P/cWdTs/8Ltvn9B4wdrLcZd0wxzFyKdTslh6+80su2o2meb4GWlNU2g60U3jhjewd3n3gAPBNGUKFE6hadduHulspdoh9HKtUy4xmXkky3vePVJ1ygVLFjDv6vmYWk6HfAwUBYrmgnUApa/L6y6VLR3M++VffP4GNt69ghVPb/T92wvAExWqAZGWj3b8MPR4H0dAZOdhKJ0D3edQGPmueea4vRntSwsn8KuPf4RLp0XgtzR5BlywKHij7El+IerUUpQw9AcRwWACU0rUF5QYNs7/fkf4xvnnf0k44xz4r101QEo62G1gHdCNdQwRHa1o+7bCGf/emD9qmluByJc6lU2fQvmShaz54JBbbnc1uix+uHsT+s0oF4ewxD5EJyayQxTPN1ef4PfffozZSy4i95JZ4Dinq/fuqsyOtHFu67Ky9cUdHNv0dsCvecHaS7OwuTfUEDb+b6CLlL+/yuFXU1ny6RVcvngSlhgqI4SA1kYr9RveZuhsU9jHszY2QmMjQzOmsXtvo/d2m9Yh6u02r8Y33Drl7OIZLPz4MlLbTkM4hhn0D+fEUTAYEbMvgJ42lCH38LA/YdXO037KDMfI4QoBZE3CXlsDrZUhv41hOtuw79mOUjAVZfp01G69asEzx+0Upu0508y9G95lT0MrexpauPy//x5eSVVOPiy6HIb6wzfMAK0NaG2NKJNmokwpRolCJcGYGIwOoyzFapEg+F+9wQhqOtitulBBRFY+7ono60Yc3I6o3j9mri8YiifmAGOol6cWhHzsdQ+tZuX311Lhkcu+celi7v/VOrbgfmNy3pQ60UI2zk5O7P6Qjt261xoLZXbvgJ33Xj/Ivr++ElQ4vkWzc9xhmEcZKmGjRbMzob+f7eteYN8reVx15wouKs3EEOXCv442wZlX3qe/qibix649MXY5W6PdHtFmIakT81j02ZvJ6muE1lMROy6gT9CrDkJKGswqRbSdHQ4P+xNWLZ1RMObzvpqLaBn5iLPNiMrtkXoXw4imev0xswQ1Pxel1z1V5hSu/eydDznR2BZ+r++UNF2BjR2G+iL4TgAhEE0ndSHf1GKUSTNQot2ERjXoRjlezW4UwlRrR2wkESW0T1NRwGjWwxe2Id1IE9kQpBgaRBzdjTiyW58IRJCygnzK581mzbHa0c0wLlmIEHr+OBQFd25mBi/99NtUnWmkul5XgednZXLrN34M6PlnV5w3pXANs5McVGZi4F7sHr2qI6fMHrIKdr1fw64/bmCox48QzwttjgmdL0NVq1mZ4Jh997e28eav17NnxnSWf+ZGLphmCW9ddS/09KqceXMf3R/si+yBXXAaXl9GaUqESmOMaaks/Pyt5KudKF1hesr+GOhDHNsPmTkwdRbHjx7iRGsXV8+czJrTTV6bh9xUOi2o5iIiPQets9dNgR0txKlq7KdAmbMANdVIe2vzKOHaYkZ6mQddUmUw6grsFPNIVUm00GyIuuMuyu5ClEiHmRVVN8rG0EPKkRlHbEupYkXgOeexEEI30LYgRBm+DmW3IaoPIA6851+t6IJzfeBAWz+29/az8qkX3ZYuvGHOTADePD7iaYSr4G4820X5vd/lTOs5ZqHnnB8Ht5B3NgZuIXJ5okEEm+nnFCOph5sWzuGP31gVljJb0wT79zeybd2L9DaFXi7Uotl5zNrlM+8Iev75U6Z0UhX3G8rkBfO45hMfYVZ++DeagUED9duraHt7W9jHCoRvtJ/j6NCgmwL7PkWhJCWNh9Mywzu4qjLvznKm5oPS3RH+YIOgrX+IL2zcxaaTI2mAgjQLTX0j9wPX8K8v4ZVreFhY0tFsBsTR/VGPznnFYOCf3qtiZ+VJd+EacDkjvcydYs+XVt1C+ZwZPg6mwMLLIDdfD2HHg5QM1BlzUXIiETlTwGTRHbQ4GrbhnPM3P0OWJfQQftfgEPk/fT7hcs6RMc5ONE3PR4fg6QohEKeOI/ZthZ6OgF/X1tvPKg8jWz5vNuu+fDu56al+X1/V1Eb1uXZKJuZy/3Ovs/NYLU9oImwFd0dnP688v5lXn9/An7Vu1qPPuD+Prtp2MhWVG0nDEoXYSifacLh86oSJlH/xEyy7dDpGQ/DnOlbVxtZ1L9NWE5lGG88OddMsbKNKhYaFcsAkxUiF2bvRmv2Ry7m6/CIKQpgzWe0KDfvOcm7j2whrZKMyY9GlaXyvs5X3XZTFV5ot/Ne0WeQvmM/Z3XvQBoOf4BZ/9GqKSvNR28PPkYfCx17Yxs5Tze5GTFWYP30SD1xzkc86Zm/NRYTRgjCm6wrsOHbEqursY8GG7X7LIv0K2Urmw7RZMBh8hCkqZObqyu5QW7yaLGC0JIS36TTObd/6bNjGOe8nfx7nxtmJZncY6cDykOLsabQP34HWsethvXHb4895MagKS+cW8dJ9dwZ8nMqmVub95+98q0jXP0ZpALno/n4rb7y8i7ef/gvW/n5OY2MT/W7lVVXAdmAVUE4qM2LYC2ZC0Qw+9sWPc/EFEwJqYFDX2Mc7f3qD+giHfPuFxl891NquQjnn5/5vpqzhELcniqpy4Yrr+cjVpWRb/H+N7ZpCU1UnjS++gRZCOD5S1NmsnLHbmGYwMt0lJGgqmIQyYwZnd+4au17XQeEVFzH3qjkYWzyTJbGjsq2bC59+3efv5sh3vkxZuv8oh1BURHo+2tFD0BcBcVSYvHamhdvf2u+zLPIZdJGnz5KqqUVQNj8yQq9okDcZdWoZSmp6YPsbzbphVqIs/AiCEeP8ObJSwjDOA0Pk/eRPCWeco2MVVANY/Cu7RXsz2odboeGE1+f9UdnUyqYj3hZ0EFQcOUFVU1vArSFrznUAY6hI9+yitOBWMBrwll+32TTe3XyQTb/7M72tI4KSLEcu2TXXWArsdPx3pHLNgdJSe5r/fegJ3rpoAbevvIU5M7x/GVs6htjyt/eoenNrVMaRqqhUmDPZYxtkg73Pp1CuTWhMwLtxFprGoZff4OgbW7nkU+VceUkhKcbR10Zo0NIwSP3f38J6zn+dbrSZbjS5GWUn1qZmaGpmSvFsrBmZtHz4odfX586dzYKPXk5K62mIkWGubOvmRGcvxTnplOZmDm/7y3E9NO3rd1Nz7DilN14PvR0og6PFTwIgcxL2mipoD78SI1LMztTTP740As7lDco9e33nTYIFl+lCr0Q1zABtZ9HamnTBWOFsFF891Q0m3ShLBXbMia7LZjCCIQNsVt1IO3JHorcLceA9RM0hghWSueaW/RrUc+0BG2e/Cu68LDhxWFdaTi8FRQACIQQf7D7BP37zZ1pPjhbg+BJorQZmYoi5cXZy6sODPPHhQeZdexUf/+w1TM3Xf5zdfTa2vbqfA3/fhLBHv1xulmoEu2+hXF4AM3X74CC7/riBA6/kcMWd5VwyNwej42XtLRpnXtrGQO3JSA47qgw6xjp10UJ6BgfpPHYcgPTCSSy84wYyu89AS4QV2D7wlk++Ybqet3yzbmTBFF+/m+LsVF3ZbU6BojmI9iYUR9pLy5yIqK9HHI+8AjtcSrPTuKUwjzWNbQjhqhGA5ROz+cZ1V1BaMpMyZ8Oc9Ey46CoQVhhKkBC2XwSi+RSi5QzKlNkoBTNRnJPGeCuwg2GcCsJi88kbTfpFtg2h7X4DcXR3wCFvJ95yy8tLpgFjGNSJuQEff0wF99yiESM/0AdVukK1XmTz7M/+QN2+Q2Me+1pS2Uw/FS4CrZkYuBb/OfFoc2Tzexzdsp3LPn4LRdMm8sof/kJzXx95iuoznBxJJqgG5ihGVgub2+RlDbooLJgxDHR0sPm3f+aDqVO4/rMr0HYfpmf/wYiN9bTNSr2XcHS06D98BAMwbellTFo8i3zaUDpiY5SdfGHjLnaecl9G8d66c/TD8LaPofePd6sOUBTKZ04a9rIZGkAc3w8ZWYhpxWj19Yg9O2L6XoLl6eXzuXvrISoaRiJht0zJ4+nl88m1WKGuGnvJPAxLr4BUc0QEsXFBsyPqqxBNp1BmzkMtLNY95mRBGucwUXSFXyiGGWDVUy+y81ite43hiXoK0lNZ0z8wtkENkHVfvp2VT71Ihau4zNdyht0dVB055dcwA1hQuIU0N4FWvDxmbwhNY8vfXuHnFo0jLqFHX4rpSPMpUzp/tfZS4dEt7FOmAPNhHnTVN3Jm1zGyDkTGMHdqGv/lRcj1cHY+WVHqguQ2EfhgL3lXTEXpiK3St7Ktm00nm7zXowOXoedj30ZvE1vh8trymZN45tbLRh+0pwvR1oqo9d9EpKqzjxPdfRRnpVGSFfuuV7kWExtuvIjqrj5quryPQ1QfgetuiHy9cjywDSFazsD0ufEeiYQkWZVqzNxybz/Li6dTUTMSGPVpUMc4vjNU/tJ9d7opuCO5nGGiGWVX3qGfrkH7qI5df7X2+lRMRwpn/tm1z3YsvPaxcDWOj3V3cHRo0P2zGRrke52t/CI3st3WfE0E/tY/SH5Ez+SfE516eNZn2ghdP5EL/ANdKPXwlfP4zNxpIx6zH7wZ4LZBK1/ceohXXT3WQqfHGnuPriROkwNJgKhqeK1Co9xmNFSSwjj7yy0/sOJKfjcxN2iDOlYZVjKuMRwqHWicwj52x64Yhbh9ib9ihTfjqAK/wctnMzRInc0adog7kInAF/7yBi/d7sUTjSKzs/XIhc+0kZdtgRrmsQzwF7ceYpdnJ67GNu7eeogNN14U8vuRjFNkWDt++BVrOQxysAbVa6j8WC0rn3oxqDKsaNGBRlcMwuBdjN2xayzF9HjBaSCf7e3ipNU6aj3u54Gvuuzv/GzO2G0hG+egJgLVdVS1XxCwRxoJyvIyKZ9VwJpTzW7dvFYDFvSKgxR85Jj94MsA3/H2ft5t7hw9URRQ0dBGdVef9GIl7kjjHD8CFmsFQSTLsCLNAIJ3PDp8OQVk0WhW4q3cC4JTTCcr3gzkYjxaNKLnU6sYWeXL+dlMC0PN+l+draO85LEmAjUdvTE1zgDP3HoZq17ZRYUXtXaFi1rbZ47ZC5Xn2nm1oc27AW7Wl6b1WZoljbPkPCEpjDMEKdYKgEiWYQWLP4/4HfrpxD3/ey92NtMfdJvPQLxvZ7nXao9yr1AU04mOp+Lam4Fcg97Jzdmi0fmdeNLxnPOzudJsCclrPm2z8uHQIO87zutNbOVtIlCcE5pALhxyU8z845PLqGrvpqbDvc7Z27ZAONHaAfj+7YHviaJRTUwvRxJHpOccX3LTUyMq1gokVB5pAvGIx8z/Yg949apgve9rSWWXRaPCRa09WzGwWLXELOccTbx5yBebzOy1Dvk1kM7vxM8dDxhRa4c7hv9lxEsH3xOBW0qmx9xrdqU0N3PU+b1tC4TZ+TmA79/eRyZls+Zcp1t98b3oIf9b39gXV3GYJAEZp4KwxBzVGJQW5FE+vzhsr3Y4VK4qrEdvgrEeR6h83uyoeM2uHvFpx/k6HR6xE3/5304CWwQgkHO5YkHhy5Om8W+mLD5jTKMIAyeEneftvTxm7eLZoW7647EAQYRw9ZCdn0etdQgV35/1dsd+Ti/5L/kF/DInn7/kF/CL3IlBl1F5G8OH6F66E9eJwAz0ScIFZgt/uOPGoM6VyJRNzNUbfCi4//YUXRT2l+sWcdmUPCoY+QyKgH2O/XY5xGESyXgmaTznaBBuqPxMewensY0ZMnaGlRUIyCP2l/8NxGsOx/ueoBrYNNRHB/Epq/JFOGVWp23WMUPIfwG+4bK/Z4tG15rmUMVf/sawFd1gOycC/5aZ49Z/OzfVAkna48IbYzf40OuL36xv5aNv7uPnjFyfBUhxmMQDGdYef4QaKvdWguUZMvYWVlaBhR7HcvWIs1HDavfpnAj0BuB9+zpOi2bnuLDFvazKSZ/QeMFjgYxgm6N86AgjT/fY7vw8HgEKcM+1X2wy8/n0zIh1A6t3NN7xdU2cfyMxEUgGAmnwYXesyXOHx2ulOEzihjTO45dgy7C8lWDdi53X6WMRFrJR2c7AKFHX14CV6KFMJ9484mDbffqaCGzCXfUbiPfdJrwbdqdhO6nZYmqcX7D20uyYLATrxXvmeK/GfeUr5+dRajJR4bJ0ZDS6f011qLp9RUS+nZnDRSEKzJKZsRp8+Ft8olgaZsk4RhrnIPFWglUOzAL2odHgktP1FcL8OfAZfHvEwbb79Kbu/hq6B5iGu/c91c+xnGVTzhtim2PMzjWoN9j7OKoNxaStZ7hevDcl9mrgU8DdjISQf5E70ecyjpFihtHElWYLq4cGRynirzRb+FhaCAtTj3PGWnzilil50muW6EhBmAS8l2BVMCLwOQ084Njus6MZI0KX7DE84mxUZmD0G8o+hZ1foRuu6Y6/v0JPUbqKarqAejRepY9BH6uBDS9E4Xg/n2ZEGOV8j80OzzXa+PLir/Z43htnent4f2iQtbh/Lk+g94J2Cq2ciuvpRhNXWFKj6rk+nJ3PBWaL2zW5IATV9/nE08vnjxKHXTgxm4qSKVR3jYN+1glG5akzbNq0iaqqxFm+0y8KI6HtkB7xfgPekZ5zkHiWYFWie5Wu3t2XgZ/hOxx3K6loRKbXtj91dx4Kgwi+h56781Yz7cxV51mHSGf0QhTxyj97evFOAmmO0tiv37h9fS7fzsyJubeapaox8dLHE6656X2t3fzuWB3vNnfyrqNZiSyrigxtXT2s+sFaNu0+MLxtxc03s/7PfyY3N/JlpRL/SM85SDxLsJyL3rkagTL0VXq+hnupiDOEPQ2jX484UFzV3a44DVgbgt+hq12d3uNadOV4M3ZepY/n6WUT/fz47EmeHeoGoMKcye2GVLf3Vomex57hPHaUS6s8vXjn5xhIc5QpqSP5Slecn8tFZovP1562Wdk+2E+dzepzn3CIhZc+3ijJSmN9dQOHz3W6RXFkWVVkWPWDtez84JDbZ7vjzTf5/Gc/G+eRBUBYXnOYYrIoIj3nEPBWguXp3d0BvIP7MnrRWMPZl7rb2bRBw3eji/cZYBDNp9iqSDWBvZ+N6KsObXQ5rwqkxSAeFOpyktPSM8bM8XozjPFYGjISVLZ1c6Iz+E5dyURVZ5/vlp+yrAqAyrpGahqaKJlaQOm0KUG9btPuA6M/W7uditdeo6qqitLS0jGOEGekWlvixFmCtf69Uzy/7m8cYJB70dyMwLeA6Ri4gpSor+HsTd29GFgHHED32F3bUTq9xyaHYR4rZD1HMXKfsJEGowRnm+39VBgSdznJh7Pz+V5nKxVejK0np21WvtfZRqPNfdGLaC0NGQna+of4wsZdbHLpe10+q4Bnbr2M3BRzHEcWeU50j52mePds+3lrnL2FpMuXLGTdQ6vJzfSfuqlp0L8/PlsZV1cnuHEOUxCWoGsHJOaokoRpuTnMwMiNpJGNwU204hR6BSLqChenunuFwyv/OXq51gJGRFAb0Y2NM7w+yTEef2Kra40pDMIoYdWvgOMOIx4LJqgGygymoHLczhzvWJ29OjWNb7Sf4zOtTRyxWb0KyN53LA2ZaHxh4y52nmp2C0XuPNXMqld2xXlkkce1rMoV50TzX7Yf4+NvfEj7YOJdp2jjLSS984NDrPz+2oBeX1xYAPj+bEtKSpDEHuk5h0BlUys15zpo7dQ/vmBLn6KFU3/tq2mD8+9MDFyMhb/T51ds1ec4aDIvJzndaBoVxnYugLG+t5ta6xAPoIv4fL3PcJaGjAaVbd1sOtnkJcwrqDjZRFV797gKcfsqq1qDru/4Iufnms8+Q9KaRsXuA1SdafQb4i6bPoXyJQtZ88EhhKaNlKwZDKy44YbE9ppBhrUjQWVlJZUHqyjJz47bcozh4K8zWLyMshN/rT+XY6HQxYv3lqv2FFt5U0xXAr93/HeyLSfpLa+8HljC2Ar7cJaGjAYnOvVSNp9LK8Zheclo463lp2tTmfMx/+w3JF3fFFD+ed1Dq1n5/bVUuKq1b7iB9X/+c4RGGkWkcQ6dtrY2Kj73OTa+9trwtvJ5s1n35dvJTY+sQCqa+OoMFspSjtHAX+vPC3DPQ3rLVXuKrYYV08JGN/B/6HXCTjbZ+mLSkCRSuDYmsaP3z16OHsZegT45CVRAFk9mZ+vXyNdk4mc7j7F0St64yj07y6qerqznX7YfYwvuRul8bOvpGpL2urre1IKAjpObmcFLP/02VZ0D1JoLKCkpSXyPeZwTkztqxec+x44333TPiRyrZeVTL8bi9BHB2RnsCU245SSdZUmBrhYVbfQ8t/f8tyfOcPydpFNOKt+ePIsKc+YoQ/spUzqTFCNfAz4gPg1JQsGzJMq5+IQzr3y5Yz9nrm29Y1syNAkpy8ukfFYBaxSPVdXQxYCHGtrGZe4ZYFmBXndQ57H9fGzrORySVlWP1fVUypcsDEq1DVA6Yxrl5eXJZZgVNfxHAhJ1z7myspKNr73mJSciqDhygqqmtqQIcXvrDAaBLSYRKM5mIOGEx0PJfzv3mWgy463nUqqiUm5M47i1i1+TGAtijEWf0Hho7052tZ4b3nal2cKKFN3bdF7DMkZ7y58FtgFTjUa+l52fcB6zK8/cehmf2vA+FfWtw9ucYd5XxmnuGfy39RQCXjvT4nUxjfHIuodW88nv/JyKg8eHt5VfMp91D62O46hiiKroj3BeHyT19fU8+OCDbNq0if7+fsrKyvif//kfLrnkktDH4UHUjXNNTQ0wRk7kXHtSGGfPzmBOglnK0RfeFq7wXOXKE3+GPNL570RbEGMsXrD20tzaNaokyrketes1XI8uKHKtR0+G2maA3BQzDyydy9a/vcczwBVAKbomwBnHGY+5Z/Cef76+IBerprFgw/bhbcneQcxf7bKzjGqri2G+esGcgMuoJMHT3t7OVVddxbXXXsumTZuYNGkSNTU15OTkRPQ8UTfOxcXFwBg5kYnJ0RpuuDPYsVqEJoJaytEf3hau8JXLDsWQR4JEWhDDG846aAXhe7EMq5WLTWZWW4fc8sqngItMJirSs5KupaYz92wA8oFbcW8WE8/cczSbo3hbcvLfdx5nV2O72+8oWRXcgdYuu5ZRDb/nw1Ws/P5aXvrpt2M+7rgQbmg6yNc++uijTJ8+naeffnp426xZs0I/vw+ifhctKytjxc03s8Zg8MiJKJTPm50UXrOTdV++naVziwLK5waKr4UrfOWyXQ25M+/b6TDk0SQSC2K0aHYq7daI1kb3CY1nh7p5zNrFOlsPz9jGVjF/IjXd6+ITP8mZGFJLzWi3+vSHa+75evR2sq7XJB6557b+IT72wjYufPp1bvvbe8z739f52AvbaB8Yivi5SrLSuHnaBISAVxvaeEK4/44ed2xPtkUyAqlddpZRPaFp7u9Z09jkKKM6L4hQ+86uri63x+DgoNfT/eMf/+DSSy/l05/+NJMmTeKiiy7i97//vdd9wyEmau31f/4zn//sZ6lwVWvPLWLdl2+PxekjhrMzWFVTG9Xn2mntNLJ93T/COqa/hStcc9lOQ+59KUp7RPLenrh25gp1QYw+ofGCtZfjXlpwhutle673/Dz6ql++IjVlJjPXp6aHvfhEIrX6dOaet9a3JkTds2tzlGFvztEc5R+fXBaVc/rrIJZMCu5Aa5cjVUYl0Zk+fbrbvx9++GEeeeSRUfudOHGC3/zmN9x///38x3/8B7t27WLNmjVYLBZWrlwZsfHExDjn5ubyyquvUnX8GMf/56eUZFqSymP2pLQgj9KCPPY0CHYoCkJ4X34xEPzVJrsaW1+G3PmVasBGNqGFL1OyMknLz6OvWRdRjWVQD9mHeNHeH3BjEk8D6tnDO1S8rff878Af0duLjlUS5a0xSTB4XSs6Sq0+1dRUNJPF57TLNffsukhJDSOLlMQq9xxQc5SZaWAwgD1yERTXDmLefkdRU3AbTWA0w1DkPPNAjW6kyqjcMFn0gvEErf31SoTWc66rqyMrK2t4s8XifXEcTdO49NJL+dGPfgTARRddxOHDh/nNb36TfMYZoUF/D6UTMii5/yHEyaOIo7vBGvkwV0zIngAmM5fSwMSf/CsbNuykcvuekA6Vg0ohKveg0Qh8Bt+5bE9D7pn33cogp7AFlX82ms0s+/wnKP/EMlIsRj7YfIDt//M8zzaf8WlQy41pYO8PaClHbwY0UipvXyK1dejlRN5EXpHAWZLl9T05Wn1GJG9tMGC55GJOHKuk6uf/xxWrbmN62gBKX/eoXZ25Z1+LlExIjU3O2W9zlNxplJoFhiuXobW0I44eIBL4UnDfC1ySFwVhlKKgLr0G40c/A7kTEK2NiDOVMBR+eilQo+uzs5eqUn7J/OC8ZnMqyvQ5KHmTYaAbTClgMCWHkY5QE5KsrCw34+yLKVOmMG/ePLdtF1xwAS+88ELoY/BCdI2zEDDYC31d4MgzKkYjSskCxPRSRNUBRNU+3XgnA+lZkJEDTaeHN83MUbnvC1dw6JZLefG5t2k4Whnw4ZzirgaHR/wA8CC60tbbClaeTUaeRu+hHUpTFEVRuOT2W7jt8zcxIX+k6cjSGxeTNiuPf//qgz4NajkMNyYZq7sY+DagkWj/6Wu95/3on+H3M3PR0H84pWYzA1XVIZ3Hk3q7Hk2IZqvPlMWLONN0jrYt24a3bfv9C6TmZrFs5a1MsLWguITUnbnn+042jVqk5F7gv947ErWQsiv+mqOUZJv1e6F9AENuKmL5dWin6xAnq8I+t6eCW0X/HnzQ1sP8v2+PmHJbufBijLd/HnXazJFtEwoReQWI5jOI+iqwh65BCMboeuvsFVQZlcGEMrUUZdI0FOfvVgh9kqEMgjkVEqw73ihiLAi76qqrOH78uNu2yspKZs6c6eMVoRG9T32oH3o7fX5JFUsKyvzLEEXzEMc+QJw6GrWhhI05FfILoKkOeru87jJ/sol5993MrtqP8PIfN9F+psHvYb2rtCEd1adx9ezqFUr+ec7yK7j9y7czc7r31MKZNv3mNpZBDXQpR18G1JuX7Ym/lagmqAYuMFlYbRtCCOE2SVhiMnOxc83mmhM0KAqTllyK2tTEUL3/azMWUx03q2i0+rTMncM5m53K7d5FXP3tXbzx+J/JmTGFZXfeQFbnmeGJ739eNY9NJ5v4H7x8J2KUdx4WqJ1qdrsm96kK5XOLRqWzFFsvhsI8tOnXolVWQlN9yOd2VXB/YcshTrR384SInHJbmVmC8eMVqHPme39eNaBMnonIL0ScrUWcrQ3Z8QjU6A539jrTSHV9EMtFKirKlCKUgiIUk4/JitB050o1gjkFEqRUMt58/etf58orr+RHP/oRd9xxB7t27eLJJ5/kySefjOh5FBFOwtQb1kHdKNu8K918ITrb0A7vhLOnIjqcsDAYYdI0aGnU31eAWDV451Abr/3xZfo7Or3u04HG8/S6GVfQjW0FcCfpY4q7jjLEVgY5zUjOuRJdrbsKKCeVGR5zr6nzL+D2f/0MF15QOOb4K+sambfy/lFj+xnwTWCVMZ1Sgx4mDWQpx2eHumkWNp7A3cuepBi95pwDEZCpJhOlV16GVnWcn585xW6XFMkSk5lvZOSQ6SUPpRiNTF56GfaqKmxt7WN+DmPxjfZzHB0aHPWeLjBbQso5m2dMpyc7h5O7gkuPTFk4h8tvXUJqy2lerT3LbX97z+07AXqFxAzgpU9cxS1Fk4MeW7C0D9lY9dYhNh2pGd4WSLtegQJKKvZD+6Gzzed+/qjq7GPBhu0+f1uH/umK4MRhEwp0T/niK1CCCJ+KwX5EQw3inGcvs8AJ2ugGgDJxOsrUYhRzkFUmBpMe7k6Q+v+uri6ys7Np+/W3yEpNCf04/QPkfe0ndHZ2BhTWBnj55Zf59re/TVVVFUVFRdx///185StfCXkM3oiccbZbdaMcZs5FnGtAO7gdOs753zlaKApMmgFdbdA/Or8XKL1WeG1XPVuefwWbhyz/NDY20e/zRurNuLriatzLcc89A0xF5UbSsKCQN30qH/3Xz7HkshLUALvh3PbNH7Pzg0M8rmksAlYC+1yeD0Zt3S80/hqEWttpzNfiku/GYcwtWRRdvoTc1nOIhhEPuN5uo9FuZ4rBMOzZjoUxI4OCixYxuO8AWn/w39kuTeN7EVBrGyfkY5s1i6rtuxA2m/8X+KDk2qVkFOey6JfP+jRKR754U/RFYUVzISMNZbB3uKqhZGJuUAJQoagImxFt/wcwELzQ6rUzLdz+1n6fv61L8jJ4+aaL/Ye3M7IwrLgDw7IbUMJIU4i+brQzldDRHPIxIkLOJNRpZShpYX4HjGZdOBbntpfDxvk3/xG+cf6XHwVlnGNB+MZZs+s55YGeCA0JhNAQ9ScRh3box44lE6fCYL9umCNEaz+8/PZxdr/0xrCyO1zPGeBV+ujEziz0WsgncA+P5xkt/Pe/38fV1y3CZAruh9Te3cPK7+tNEFQgE/g1XoxlEGprf152i2bnpGZjg73P5+fy+4UXUxhmWNqVlIkTmVBaQt8He0NSD4dakqWmp6POv5CqXXuw9kWuRv2pTAOHG5p43DWkrCgsnTkpujnnKTNhUgFKv/dIUSgI1Yjos6Md+ACCqCP35zlnA1cU5vkOb5stGK7/GIYbbkNJTfe+TwiIrja0umO6ExNL0nNQp89FyYpwwydTim6o4yQak8bZF0LTvcr+bl1AEAWE3Y44dRxxZBcMDUTlHMPkTNLDNW1no3aKui7Biy/t4ejWHcCIcV2L+wpS2RgCWuVqEMHr9NGA5vNGdPTZX4YVDnt9935WfPMnPo//rUnTyegMbWLmNNZpKGy297t51r68nu9l5nKp2XuJQzhkzJpJzsSJ9H24L+LHdkUxmTBdfBEnDh6mrzVyE0AnvULjyf5u9tlGwvzlswp45tbLONc3GPmOXXkFMH0WSn9HZI7nBWFIQWvtQhzdF/C95uNvfMiuxjYed+29jb6wyWfxEd5WVdQrb8B466dRsqNT6imEQLQ3IeqOw2CUG6NY0nUFdu6koMLxQaEocVN2Dxvn334nfOP8zz9MOOMcvHJFCBjohb7OqKusFYMBZfY8xLQSRPUBROWHw+KXiJGRDWlZ0Bx6XihQpmcp3HvXEo7ddBEbnt/CtQcPj1qy0ZtK2xcWFBZhoQHfNcfhNiKwa/rN0NfxL7v3M+S0DrHrmb9iCzA87JlTdnrm64FpwDX4FltNMURHlNJz8hQ9J0+Re+E8UhWFgWPH/b8oSFIuvojTdfV0vPNuxI/tJF1R+XpaNmftNtpSzNx6x02UWfpZteFdNp1sGt7PabBDbuuZkYVSPBfR3xVVwwyg2Acw5JgRH7kG7UwD4oT/a/P08vnc9vqHVLSNpKWci4I4p5KujUnURZdh+NhdqFOmRf4NuKAoCkreZETORMS5el3ZbYtwSanRjDKtFGXC1BEFdrRwU3Y7jHSsibFaO1YEZ5wH+3SjbA89NxYKitmMMu9SRNEFiGN7EbVH0DWoYWBJg9xJellUT2zDTHMnGnnwa9fzwemrKPzjJk6cOh3wClKe+GtiElIjAhd81Vw+5/ibmmpi+ccv4aLrLmLbX7dw4IWXEV7Cw64h7U22vuEaaqcxdl3tagV6BMGzTGuJyRxQPjkc2g8foR2YeOklGFrbGKoLf9JmmTeP5v5+Kt/bEf4AA2Sywchkq0btH1/lfns/J/p6I9Oxy5yCUjYfYeuD/s4odnMfjWLrwzA5B23adYiqakTjaZ/75lpMPL18Pgs2bOcB4Cvoi4IAvOL4W5yVhlI0B+MnVqIWz43y6N1RVANKwQxd2d10EtF4InzHQzWgTJmNUjAzrBx5SAhNtw+qweFJJ3j5VRIQeFi7oynyM7wQEV3taId3QWNt8C82mmDiNDhXnxDvx6bBu0c72PTHV+gNIcw546IFvDbYxqFjlTzuURO59JL5EWl+708c5tqQv6W5my3PbqLqjXcA78prGCkB24RujF3D2O3Ap4C3XfYfS4EdLRSjkcmXLcF+4gS2llb/L/DAXDSLrrR0du3cRZNmp0A1MDnGN62zdhsP9rb7VN5v/ORV3DgrAAW3aoCyBaBqKEFWYkQDAaCkYT9yENpbfO7nNbytwGWzCnl5/dMYFi+N0YjHRgwN6Mru5jqCdzwUlEkzUApno5hDD+9GFINJd4CiyHBY+8n/JCstjLB23wB5X/2vhAtrB26cW6If9g0W0dqkK7sDyRMrKhRMh84W6Pe9OEO86LcpvLGnkbefexlrAOHhCUUz+di/fpaLLymio6d3WLzlxNsKNqHiTxy2xstEoK62hXee+hs/2f6um/J6LbphcBrjSmAO+Mxpr07PYkEMPOaxMKSlMvniixk8eBCt13+e0FQwicFp09i/bTu/6+1gv0ut/yKDiXvSskiPUShtv3WQX/Z3DX/enl3lIIAQd/E8SLOgRDtHGgJCURF2E9qBvdA3WvvQPmjl7q2HeNVlacnySxax/m9/I29CZDrGRRLR36Mru9ub/O8MkDcZdWpZRIVrESMtO6qHHzbOv38kfOP8lUekcY40QghE4yld2d3T4X2nSdN0g9wdel1rrOgYhJffqWbni6+jeQkPZ0zIp/yfP8eyqy/EaHS/wUejJtIVf+IwT/GZt3ppb8b4VvQVrjxrhktMZh7JSpwe7Jb8PCbOnUv/3g8R1tHqYUNmJmLeBVTv3I2tf4Bf9nZw2m4dVRI2w2Di/vScmIzZ03O+Fb0W3lXZv8aXmntqEeRPQBmIccVECAjViOjX0Pbv8arsrh6wU1u8iLKP30HZhRfGYYTBIbrb0eqOQ4+Pe1Zmrq7AzsiJ6biCQhrnsEj6xICiKCiFsxAF0xGnqxBHduqlUAC5jnxr85mQjl3Z1ErNuY4x6zQD2ScYcizw+ZtLuO6qYv6xcR8H39LbN5rT0rj27k9z40eXkpri/bKVTpsS1VVo/InDPMVn3hr4lwHX4b4wxceAt3Dvhe0MYycSg61tnHnvfdKnTSN3aqFefgUoFjOmxYup3neQAYfY66zdxn671XsHN7uVs3ZbTELckw1GFhlMrLZbaUD3mP2uXDVhCkydoQu9ksAwAyiaDcUCyhVXoHX0Ig59qOdBDQbUZTcz75ZPcmF2TryHGTBKZi7qBUsRHecQdcd0ES5ASgbqjLkoOZFdXCWpiVBv7UQj6Y2zE8VgQCmai5g2G636ELTU63nlEGjr7WfVUy+y6ciJ4W2eHY4C2SccCjMU/vmOi6i6fiEHazu47tbLycmObz4p2FVwfO1/B/AOo43x51Iz6BIi4EYi8aL3zBl6z5whe+4cMiZP5uSR43R6KLCbHOIeXxOZJs0es/zzPWlZ/K6vi286wuu+xrS7N4Wya5Yi+jujrsCOFop9EEOmEfGR5QgsGK69DbUgOZdNVBQFJXcSInsColWv7VfyC1ESpENXwjBO1dqJOaoAqaw5waY3N1NVMyIMU0xm1KlFIRtmgFVPvcjOY7XuC50fq2XlUy8GtU8kKM038IkvfSzuhhlcGvKrKuvRa4/X42jIv2ThKK/d1/7fBi4xmXkyZwLfy8zlyZwJPJKVR5nJzKVmS0IbZlc6jx2nubePzvrR37UCRwnLVo/tWzyejwXpisr96Tn8e2rWmGPq2nEY+jtQwq2ESAAUWz/Gmz6etIbZFUVVUSdOQ504TRpmb6hK+I8EJDnugh60tXdQcc9qNm7eMrxtxbVXs/7JteTm5IR17MqmVjYdOeFloXNBxZETVDW1IRB+90nm9arHIthVcLzt76q8ThZDHCyu4WTPkrBFBtMor/ms3RZ1RfcCk4VFQ77HNMUcm2UlJRKJf5Lyzlhxz2p2bN3mXre5dRuf/+pqXvnLs2Edu+ZcBzBGXvXciEBjrH3Gq3H2twpOZV0jNQ0j2z33n5qZTeN/PhHHdxA7nOHkCi9qbSc9QuPJvq6YKboDGZNEklTInHNiUFlzgo2bt4z2Wu12KjZvoaqmlpKJOcEd00XUVex4rc+86sRchCPsN9Y+4x1P8VlbVw+rfuC7nMu5f19HH43xGHCM8PSA70/PGdMrfrKvi9MO4diwottu5Xd9XVFRdDtD3LHw1CWSmDBOc85J96usqdWXlPTptdaepGTi4oCO5UvUdcOcmaypOo3QRhYPuBc9QX//c6+z7su3Uz5vNmuO1brt42vN2vOBVT9Yy84PDrlHMz44xMrvr41II5REZywPeLLB6NUAxlPR7WtMEokkMUjMKcMYFBfNBHyLWkqKZgV8LF+iLoClc4uoQF9soQK4BPgNI6KvdV++fdQ+S+cWse7Lt4f4zpKXyrpGNu0+wBOaxl3ozS7uAh7XNDbtPkDVmRFfuar+LHuGBqmPcQvYaOPqATu/S6cdHrAvAlF0x5KGoUE2HaqhqinyC3JIJFFDCsISg7Li2ay49mrWbN2GsNtHvFaDgRXLl1FaXITo8t9sZEzh1/FTbFxzJ5uOnBjVlzfNIfpq6ennpfvuDHnN2vGEt3pmcK9/zs/KHBX2jkdLzkhSb7fRfK6JTutgSB6wq6LbW3okVnruYa+/6xys1aNIkSwLlEiiiqKEGdZOTOOclHfF9U+u5fLly9y81suXL2P9k2sDPoY/4dfOWr2ucDUjhtn1eacwrLQgj/L5xeetYQb3emZXXOufXcPeTs+y2jrEL3x1dUtgujWNR7ra+GpHC9/9YBc/6+9CBRZ67Of8ruywDnDWS6RgWNENbqVmzhTKz/q7+GVvB71RXv3Nm9cfjbJAiUQSOEnnOQPk5uTwyl+epaqmVs8xF82itLgoqGP4E34tLSoc8/nzQfQVKMP1zB8cQngsvlF+yXyEgE27D3j3LK1D1NttSVFSVW+30Wi389f+Hs7Y3EVcX0NfEORDx75t6J3PAP4+1M/fh/q9qrC9qacXA+uAA0RXHAZj5L3DLAuMdOc8icQnUq2deJQWFwVtlJ2UFeS7ibqmAy8Dv1eg/ILZ3HTh7LiJvpLxxjZW/fOOI9WA7yhFo92e0Ma5W9P4RU8Hu60jq5gtRl9NKxeXiQbwc+Az6Ia5FvyqsNMVlc+lZFA8NMDfrP38HPiG47kFRF8c5i/vHWxZYLQ750kko5Bq7fHHui/fzp2/+xurjp9iOHAowGq3097bz7ov387Kp16kwvVGE0XRl88b22MLyY3DGubBMFb9s7+2n1MMseuWFQq/6Omg2jrkrkQHPs/I2sBOY/aA4wFeeljjbmi9Kbzv8Dh3tNt9+st7BxshchVZDn9WjhD5S/fdGf6AJZLzhPPaOOemp2I2GMhRFJ4QYuRmUnV6+GYSS9GXzxvbf/6Ul378gJ9XJwbeFt/wFfZegy4KS0Sv2RnCVoHdDsM8ytACVeiaBKcxeyA1i2q7lb8P9fvtq+2a650GXINvIxmtdp++OpmFEiEKpLteskSCJElEuIprqdZOPAK9mTgfcRvLjr1UnWmM6opT0WasNp6JhLcQ9lhir+3ATkZaYM43WZigGvj7UP+YhtZbrncFugAxkHafkcRb3juUCFEg3fWkcZZEHBnWHn8k0s3E71g8lmOE0a0yExln2PvAkVpe+tbPEnblKW8hbE+xF4wY2lWOv64tMAPpq73fOgi4X+/1wKdwX60rFq01nV3DunKzmPWxS0OOEAXSXU8iiThSEDb+SKSbid+xuCzH6K9VZiJTUljApWZLvIfhlXq7bcwQtlPs5TS0C4wmPrPoIkzHqkZ5tv56WHvL9eYCdwNvO/49VzVGrce2N6aYzZTPLw759Z4iS9k5TyIJncT052PE8M1EVTyWQFQonzc7pjeTMcdy+cVunrG3muGdjlaZkuCpt9vYMzTIIUco21f04gFG6upLTGa+k5nLZRMLvIacnd7oo+m53J+apf9Nzxk2tL5qnNcA1zn+u0mzjdlhLB5UNrWO2UVMds6TxBxVDf+RgJzXnjMQc0V2SGP5r2+CY7ENZ6vM0blpjQpHq8xED3F7wynAimW421d+eRPwVZf9nNGL72fmokFQYxyrh7U373oFumHOJTY9tgMl0BKp3PRU2TlPEmPCDGsjw9oJSSLdTHyOJSsT+nUPKpBWmclknL0ZyFi19fSVX14DpMEoVfnFEQ7HO73rdwb7eHqwly24X9dol1EFQ7AlUrEQUUok45nz3jg7SaSbyVhj8Vcz7JqbTkScC184vU9vBnK1o63nI1nRux7+8suuoqxoq8rnGs0w2Eudx/Zol1EFiiyRkiQ0Uq0tSQT8tcpMVK/Zm4htgdHEQZuPBSOi3Naz0T52Z6zV6VlMUA0xCbOPpe6+QDUOd/GKl/ecSFUNEskoxqlaOzGnDJIxWffQapZeMt9ddONolZmoeBOx1dr0XOtYbT0jgVPw5bpMpbMrma/FOhaYzFxqtgwbZm/H8MVZu4391kGvi1344p60LGYYTG7XVKBwVLPxy/4uHuxtj8kiGN5wrSRwRZZISSTRQ3rOSchYrTITEV8itgbgm4wO0T/n+BvuzHGsfPZUg5ElJjOrrUOjvFXXrmXB5MS9teP0ttiFN5z557N2G02anY2DfTRpNr+9uWOBLJGSJDThKq4TVK2dmKOSBETptCmUL12c0IYZfIvY7kT/At6L7kkfBC5CN9gAD3W380hXG91aaN6iaz7b2zKV38jIocRkdvNWSzzyy/6O4Yq3pRdPOwxqoEw2GClQDRzTbKxFn7RMd/x9AtjvUG/HGlkiJUlYnGHtcB4JiPScJVFnLBGbBkw3mqiwWVGBTAhbHFZvt3HQOuRb8OWSz34kK89nGdeYojHHMWY5tvtcepHgy6H8rRR1zGaNef45kaoaJJJE4cc//jH/8R//wX333cdjjz0W0WNL4yyJOv4WvngkK4+9Q4M81N3OrxkxbkuALwE/D1Ac5i0EHcgylVMNRq/H9icaa7Tbh42zP4MaTDmUv5Winh7sYa9tMKbdw5wkUlWDRAI4vN9w1Nqhec67d+/mySefZOFCz877kUGGtSUxwZuIzTWE7AxcLwfagFuBOegtMwF+3t3hN7ztGoJ+x7HNl4gpkGUq/YnGXI/halC97RtMOVQg3cOCDZdLJOOWOIS1e3p6uOuuu/j9739Pbm50BJHSc5bEBH8LX7gawj8BO/AIb9ttY4a3vYWgfa3yFOgylb5EY18DSj1eH8hiF8GQTN3DJJK4Eoc656997Wvceuut3HDDDfzgBz8I/dxjMD5/1SnpYLKAY+WfpEZRwZwy3CEs2SkrmMQV+XlYu3vdtjsN4b9ah+iCgGqfXXPF3kLQ3lZ5CrahyDcycvhFTwcVjlC5iu7ld9ltfLWjhasO7uUuoZGuqH4XuwiGeHQPy5xeqH/XhgYicrx4I+y2BG3MKElEurrc77EWiwWLZXRXwOeee469e/eye/fuqI5nfBlnxQCpGShpAvWONYjaI4jtG0GIeI8sNMoWo0yaCrZBmDIb0dkCSRrKFEN2bAePIba8zRVLZ9OaPokjr2xB2EaUx9/IyOGhrja67LYx87xZijoqt7zAaAJ8r/K0Oj2LBQF6zK5kquqwaOzn3R2cs+sq6uEWlg0NvDh3Nt+cOoszuw64lUMVqIawDWcsuoelTsxn+X/8M/l5BjAYITUTTlVCHFThEWHmHJQZJdB5Fs3Wj5I/FcWcEu9RhY5qAIemwe2/JTqqoj/CeT0wffp0t80PP/wwjzzyiNu2uro67rvvPl5//XVSUqL7nVKECNBytXjeHhIIRdFvKF4QmoZ2eCfsfzfGgwqD6aUos8pGe/6KAuY0RGtD0ng3wq5hrzyF9e03oLfH/clJU2gYNFP9xrbhTfUOj9TVcwbdC64AnsyZwO97u6i2DrkZydWgfz5C8ATuYeUSh+gsHPyN6+g37qRgehnvPfMKbTWn3V4brrH+ZW8Hp+3WUe9rhsEUVs2zMTWFKx+8h2kl+Sie37WUdFBNcLoK56IrkaKyqZWacx1+Fd+B7jfMpGkoZYv0yawnWRNQ8iajGM1hjDzGqAbQNEZ//g4BlEhwI52WHdXDd3V1kZ2dTdumP5CVnhb6cXr7yCv/AnV1dWRljUS5vHnOGzZs4J/+6Z8wuOhN7HY7iqKgqiqDg4Nuz4VD8nvOKRn6l9jHDURRVQwLrkDMvRRtz5tQczC24wuGiVP1m4t9yHtIXggY7EXJygOjBdFcB1piejdCE2inm7C+9TqitcX7Ts2NFAKTP7Gc2vou6nfu89scBPBd3iQECxxlWU4i1Re7q3ASdLT4bmHZ0kFp/llu+ezltIqbeffJv9Lc3BpyUxJXIhkuB0BRuHT1KkqXlqIO9Xn/rg040g4zS2FoCBpPhnYuFwJd2SrQ/YbJykO58DIQNu+GGaCrBdHdisiZjJIzCSVCN9CooKr6b92nhyx0w+wUM4XYB0DiTlZWlptx9sb111/PwYPuNuTuu+9m7ty5PPjggxEzzJDMnrMlDYymoELWAqC/F+29l+HsqagNLWgyc1HmL3XMhIPwUgwmUFTEubqECt3bm9qxvr0ZUXcyqNfZiuZSeaCW2sOVPrtyHbdZebi7ndPozTmc1KGrwL+XmTucg45EX+zUgoks/tLtnG08wbyf/8m353z/ZyidMOIpiJQ0bvr139lXc2qUhx+qx+vLA/e23de+F9x5GwtvuxLjUM+o449J1gToaoeWxqDH7eS2x59j57FantDESFpAVVg6t8htZatA98OShrLoSjCoEExbU9WAklcIWfkoidQdyjlhC7ZFa6ivizax8pxffSZ8z/mWVXR2dvo1zt645pprWLx4cRzrnHMKoLcTrHEOp5pTdLGXEEEbJAUgNR31hs9AZxvalr9DV2tUhhkQlhSUhVeByRCaB+zwpJRJ0/XcbWtDhAcYHFpHH9at29COHQrp9cbaY8zLNlB81woK393PsVN1o4ysq6rbWw2wc99wjbIxI41FX/4k+amDKIPNZOVlUF46jTXV9Qjh0sJSUSgvmepmmAGqzjSwueZURJqSOPFcG9pbu9D5BhNCCA67fJ8WGUx8/6bruf6eT2Gx90CwhhmgyxH9KJkPTfXQ3R7Uy/2tbPX64RPYhcCgKv5XwCqchLLwCkhL1/PiwRolzY5oqYOOJsifChk5KHHtEhVmmNr5/hWD47/jPFE3mMAUwxz/eb8qldEM2RP1XGdfB7iEDmOC0QyW1JCMsicKQHYe6se+hGg+g9iyAQb7IjHKAAdg0G8uGRn6zSXcsJR1UH9PU4oQfd3Q6SOMHCW0viFsOz7Avmd7BA5mx1JzmItmpVN61Uc5/Op7DHZ2Dz8daE/skFFV5t/9CQoLU1D6OmHEeWfdndez8rm3qKg6M7ytvGQq6+68ftRhalp14V4kmpL4wrVd6PB61HYrA7iXoa0Rdn7TeJIV9hCMsicdzZBqgYL5UHci4N+Nr5WtFqEr4Fc88dzwNhXwbOvg/NxqUidQdsVNYBuisqaWmjMNlEyfSunMacG/F9sQoqkWOtJgwlQUH7qVqOIUeEUifyziLBozGHWjHOclTmPNO++8E5XjBn93MKeAqQCG+qG3I/pfAtWoi1MI3yh7ogDKpGmIT9+LOHUc8d7L0X8/cy9BmVAAtqHIq2EH+/RcWuFsRGerHumIImLIhm3fEWzvboYIrSA1zNAgGbWHWXrpDNqzCjmycQv2Qd1SepY3QWRyy8WfuInZi6aidrVC39Co53NTLbx09wqqWjqpbu2kJD97lMc8fKx8PTzmy8MPV2U9ZrtQ4DJGenILTaNi3zGqGs5RWjgxrPMC+mSyoxly8yCtyKHsHnuy7rqylevnsRK9ZeuvcZlgOLZ/6LLf8ApYc8poa21h5bd+yKb3R0pZyq9cwrOPfpfcrBAM7GAfor4KkZalK7stXvLakcZpQKNxv4m1sls16EY5TvX2iqKEFfmIb9TEN6F9moqi53zNqTDQo5f3RDrf4abAjm6YRgGUmXMQM8rQju2BDzZH/iQz56LMKNbFN7bRN/6IMtCLYkmBrHxEWyMM9kf08MKmYT92AuvmN6A/ssceRXcXud1dXHXdAhpFOlWvvetW3hSJ3HLh1Uu54PqFGDubAkpzlE7wbZSdlE3IGTMMfs/qL/L+H9/g3NHqkMbsr11oNVDque1shIyzE9sQdJ2DyVPBaNGV3T7uA64rWzVoggLgELAPHzXt6N3hPoPjczOolC+9hNKZ0/jovzzIzp0fuEcHdn5AxYM/4OXfPBr6++nrQvR1ITLzUfKmoJiioOx2KrBjYTQ1O6DoArNonE9RdaPsKGOMG+M0rB24IGwsNA36u/VHJAxpSkZcl/ESNhva3s1Q+aH/nf1RMB2ldKFvFWm0cTQxEc1n/Ho3/hBCYD/ZiO3N1xHtbREaYJBjmDqTU80DnH5vT8Cv8WXE8+bPYcGnryGlK3SR01i09w+y8rm32OQaBi+dxro7ryc31QIGI21qLlt//3d6z54L6thn7TYe7G33KVCrZMQ4D4vW1n4nssbZk7RsPRpUX+v16RPN7XzkJ3+gqXdkQqeiG+gFLvs5xX2uOD3jc20dXHD7Kp/v+9g/1oUW4h6FAjmTUHIKUIwR8AgVA6DFT7jp7D8dESOt6LofozmuKzo5BWHtb/wpbEFY7o2fC1kQFi0iE4dQVUjP1o1qXycM9vp/jTdS0vUwdpwFDYrRiOGyGxGLlqG9vwnqQ/BusvP18g7NGj/DDLonM9iHkjcJVKNefhVClMPe2Ir1rbcQDWf87xxFlPpTzAKm33E9VUfraT54zOe+vtZi/s85c1j2xY+TOdQCUTLMEEAY3G4jz36O2796I429Jrb99v+w9gaWw/XVLnQ1YAF2Aik4111WKV9YFl3DDPpvH6DoAujpgnP1bk/f9+fXsPYPuOfI8R3CfvW3P8Vmt7vllHccOAKMETGoq4+QcRbQ0YToakHkTUHJykcJJRUxrKSOc02ycJZfhansNln0KEkihYLHqecc2SSBwQCZeXo4uq9Tz0sHgqsCO95KQxcUSyrqtZ+A7g60d1+Etib/L0pJ18VeBlU3zImC3QZ2G8qkaWC3I1pGbpyVdY3UNDRRMrVg1NrQ9vYebO+8i1Z1NNYjHhPDyUrmpqvM/uzNHHn/EF2n6kft47oQxnD402blv4c6KR8I4FpGCH9hcGWon0JTP59+8NOcONPHzqdeQAQgEvzRR8t54nQNFR8eHt52w3zdX644VDW8rXxhGeu+vjKMdxAk3Y7UQPF8vfSqs9W3WhvfIewbr7h01KGLpxUCvnP5JdOnRva9aHZoOYMYVnbnBpijdHStSrQaZKdRVlXQgrjfGs36PToRDZkSZoewRJpouBCdDL7RpNdFWgd10ZivHGsEFdjRQgHIzEFdsQpaGvXyq34vqleDEWXhlZCappdFJVrNoRNHwwll8ixam86y6oGH2bT7wPDT5UsWsu6h1WSrJmzv78L+YXT7x4aFpmGuOcLiaSn0XV7OoTe2M9DWAYyxFrMQVFSepqql02/eOBQqWzqoae0aUyzmC6Wvi+I8mPX9L3J43xkO/t+rXvebtPhCrlzzOdKVPm7mOqoazlF99hwlkycOe8fetsWczmYwm6BkPjWV+nvx5fE+4HgAlC+9hGcf/a7XQ5bNmk75lUtYs/MDhH1k+VHXnHRUsFkRTSehvUlXdo/VAGZY7JWY9zRgZNLgTzRmMOlGOZEV2OPUc45Mztkfg326J+1UJxuMYHEosJMMAYi6GsS2fzhyuArKhUsgd0L0hV4RoPJk3XD5ydd/spadOz/gCbvm0uxBZUnxTP5aVpB8PXzTM+nIm8bhjVvZ2dk5ZrOSl1bdQvkcz8xm6LT1DbDq+bd955dDYCi7gL2v76Nm8w4AsmZOY9k3v0Ruupa4kz8fVJ5tY97/b+/co+Oo7jz/uf3S+9F+yG8LY8vGYBzAVuzwfmy8MY8BwmQgC5KZXbIw4ZgNHIaQQzh4QzIcA0sGmA2EzS7nyJwc2BkSWINNIDBgjLEjHBzMI5Ysvy2/ZMmSbCFL6r77R3VL3a1uqburqru69fuc0xhVVVfd7q663/v73d/vd+/+WcK54ngu7ER0dHVT9+OfWxetnQ5FZUZkd2HEXGcu172ObXuWI7CTYXDO+b1/pbzUxJzzyR78V37PcXPOmRFnMCzj3lPZn3uxCK01umW7UUAkB1a/au/sGpZ+4gKeA/5rxHHhzvLTS89lTol1hQSaT/Wyu6eXM4sLLT1vXMZNYKu7nMsbXkm6opdZrntxHVt2HuQZHVHVSimWzJnG2r+/esT3jmZt95RNodNTwuQpJSiTQX3Z5LpHn2fLZ008HYy2eJcsWZRWlHXz3gPs3H8w/TxnKyj1oyaficpBQ2M4KiTKPsNidjiD4vzv/2ZenK/4W8eJc+aGRUpBUelQ0EiOo5SCqmnoow4qAzoC9Q/+Ylj6yd3AK0SLc9jNuKun1xIRbe8b4Ad/aeHttqHVtJZNKOc3583G77Xp9mtvY+nlC1Kq6GWGprYTrG8+MMyF3qo1DzQf4J3mA3y7Zrh4JGttF3cfovj8pTm7IlmYhnvrqf9lA3XbhoL4RnJhj0ZN9fTsiXKYkx2GF8Oh85apEZqDzgFhjiIciW7m/Q7EuT4LwTKa9uxn/abGhME4zQyl3YTrNLktumF/8JcWPjneFR2UdbyLO7a18GrtPEuukYhUKnqZIbYaWDvG97oufM0X18UV3RWvvMeWnQejv5udB6l/+d1Rre1cxF9azNqH76I5UETLsfbsWryC4HBEnMcALQeMmtuJgnFewEhnqcfIOQW4obHJtIX7x2OdvN3WFScoC+rauth5yhrrPBGpVPQyQ2w1sDpgM4wouomsba01dc0HbAtYcwI1M6cxd17N6AcKQjKEV+cy834H4swwNcFSItNPIgmnnzwJnAfsxhCUfaF/PwlZuKnS3jfATY07uPGTJiDxoGBXT2YWUamZUMHyeTNtE7vBamBK8QSGxfwMhtiGS2g+rTXrQ6IL8WtvNwHhMK+dx/Nj+kcQbCccrW3m5UCc2SrBUgbTT9wuXsKIWH6JUPrJhbWsf241QYz6xmFBqQX+s4a3QxZuKoRd2U+E/k40KDizOIMr19hMwy1XsWTONB4I/Z2wSEZIdCOt7XbgGmAesCJ03JPvb6Pja+cHGgqCYA8izmOENat/ypIli6jDSCWqA5aEgnECoZzHS4kWiidD771jWwsd/ckt0tF8qpe327p4RsP9wNUYK0ZFDQqUERRme9R2Bgm70NeF3NaJBiRzxhvWe6S1fRVDbvCw12L7viPUv/xuRtouCDmNS5l/ORCZcx4j+MvLeOO51XHTT8Ju72eBPwHbiZkv7epJOoBrd8hVHbYcXwJuwxgMhFk23pjLzkeW1UxPOkq84ZaruKnhLTbsPTIm554FwRLytAiJM1sl2EZN9XSWX7xkUJjbO7u4b/W/APAEhpDMxLB4B+dLSd69PSvkqg5bjn7gzdC5AV6rncurtfPsS6NyAGEXd5SXIk6UuL+ogH+8/HxgdDe4IAhji/ztIYWkiJf/fA+Gtftm6JhEuc/xCovUlBSybEI59xzvolXDJOAo8JgyLOarxoAVmChKvKntBJv3HYmKGk+07nM4pc2TxdXZBCEnyNNobRHnMUyy+c+xAVyjFRZ58pxq/sOmL3mgf6gaXJXHzZPnVCfVroxWE7OR8IIX7T29XPfiurjFRmLXff4G0SltgznSc87F7+DyxoKQNcStLeQbo+U/f0z8AK7IwiLx0q7u/2IvAwOBqP0DAwHu/2LkamrhFKwLNmznpk+aOX/Ddm5q3JF0MJpTiSw2Ev4+toTyniHaDX4ew1Patuw8SP3qX2el7YLgeMKWs5mXAxFxHsOMlv+8AsOCXhwRwBUZjR2dx2vMS78bKjySaH+ieevmU718t3EHn7QlFv1cJFxs5BmtE+Y9R0Z6x6a0DR679XOaW49l74MIgpBRxK09hkm4/J6CiytLuXf2lGGu5dho7DBha7ux8+SI+2PnrWNd5NmqJmYX8YqNQHTAV3j+OTKlLe6xh49lb/lHQXAq4tYW8pF4+c+Lx5fz20U1LJtYOUwQY6Oxw4St7dqK0hH3xxYeCbvIw2v5xgpTeLnHje25uehDZMBXJLF5z0kdO1mEWRCG4XKZfzkQsZzHOJH5z18+9TSzgn0jWqiR0dhaE2VtLxtfzlUTK0bcHxvtHa69XYuRbhWOWo5dPGLl53tZe7jD3tWsbCA24GukvOcRj73gHLGaBWEM4cwhgzAqTXv2s37jFpr3Hhj94CSoqZ7OsqkTk3Id/+a82SweXz7M2g7PS4+2P0yki3wu0dXEvsdQQFquzz8nm/ec6NgFM6uoX3axzDkLQhyUUqZfTiR3TBABMIqG1D/4C9ZvahzctvzCWtas/in+8rKMtMHv9fBq7Tx2nuplV5yUp9H2h4l0kd/K8Gpi+TL/nMrqWJHHftp6jF9//CUf7D3MhseeB2D5eWfRcG89fhOLy6dDU+tRWg63MWfyRLHgBWeRp+s5i+WcY0QWDRlMtdmylbof/zzjbZlTUhh3XjrZ/YMucmV8jpPA94Gw7GR7NSurSWV1rJoJFazZ2sT2fUeif+vPmqj/ZYPdTR2kvfsU1z36PGev/Ceu+8ULzF/5C6579Hk6TvZkrA2CMBYRcc4hwkVDngkEo1NtAkHWb2q0zMWdSeK5wM/3lwBjYzWrRCRMwQoGWb/trxlzca/45zVs+azJlgGC1VMzwhglT/Ocxa2dQ4xWNGTn/oODNbNzhUQu8JsadyQVVJavjJqCZXNaVVPrUTZ80cL6bX8dPr0QDFIXGiCk04b2zm5W3PffbZ2aadqzn5YDrVELvAj5itk1mZ1po4o45xCRRUMi6zAPptrMmJbpJlnGnJLoeenfnDebO7a1UBdZIjSPV7OKJVHNbbvTqtq7T7Hin9ewfttfB7f9H4xgPX/ob7MDhBWPPMGWxm3R9dxDUzNvPLfaXPsdEJMhCFYg4pxDJCwa4naxfMmivLIQkg0qy1cSplW5XCxfONc2qznSjR0WzpVEL4RiZoDQ1HqU9Zv/PNwaDwSpC03NmLmP4y7kYpHwCw5FFr4QnMCa1T+l7sc/py7SMliyiDWrf5rFVtlHrEU9lmi45SrqX36XusgFMxbOpeHeeluu19R6NL4bGyMWYAPGvLOZAULL4TbAnqmZhAu5WCT8gkMxW0hEipAIVhBZNGTn/oMyp5bHRKVgVU5hjr/E1nnm0YQz/K+ZAcLsyRMAe6Zm8jEmQ0gCsZwFJ1FTPV06mjFCzYQKas5fCD32ljAdTTgBLpt/pqk867lTq1i+9ALuadxm+dRMPsdkCGMPZ9rzgiBknLlTq1h+3lnc43LxErAfI3XqHuDK0P9v37HHdBpVw88eGFbPfYkFUzODMRnu6Pb/N7eL5RfWymA2XwkvfGHmlQKPPfYYtbW1lJWVUVVVxQ033MCOHTss/1hiOQuCMEjDvfXU/7KBuoho7asxRM6P+TQqAH95qW1TM2MtJkMg427tDz74gLvvvpva2loGBgZ46KGHWLZsGV9++SUlJSXptyOGzIqzDhpfhNYZvaxteLzZboF1uNxQUQkdx7PdEktQJWXQ3ZUf95rXBx5fRi7lLy1m7cN38b//+DF3PvcKHxA9h2tJnrXbCyhbpmYyHpPh4CIWaaN1/n0mC3nrrbei/n7xxRepqqpi69atXHppbMRD+mRGnLWGgdPQf9r42+WGYCAjl7aFkBtEFZfDzPnotlbo6cxyo9JEKSgbBy4PRff/mP6PNtH//16FU93ZbllaqOnVFNx2B57FS9Fthwl+/Bbs+jLbzUoP5YI5C2D8BFDAlDPheCv02V++9JKzjXzy/THbTeVZF5ehZs6HkjLjs/WfhlMnzDQzIRmJyaiYiPJPQgEot2F8kKuDwVB96mAAervBW2gMonJCpFXoZeb90NUVHdNRUFBAQUHBqO/u7DT6/nHjxploQ5xWaW2jaaE1BPqhvze+BZNzIh26gfXwNuuek+jjB+B0DtUcLvWD14eK+W301730v/tH+v+wFvr7stS41FDjJuC7eQWey7+Ncruj9umDuwlufBMO78tS69Kgei5MmQ4q5rlRLvAWwLEDEBiwtQnXPfo8Wz5r4ulgMCrPesnCuax9+K7kT+QrRM08C8rHo1zRnahWLug9CV+ftLTttlJSiRo/FeWLk+KXc30aidusXOArArczZz+7urqoqKjgxBdbKC8rTf883SepPGfJsO2PPPIIq1atGvG9Wmuuv/56Ojo6+PDDD9NuQzzsE+dAvzHC18HRmmDkmTn9hk7iodNaw6lO9PGDQ14CJ1JUBoXFw0Q5luCJTvrXvcHAxvcgONrvmCWKivHd+H2819yAKkicD621Rrd8gf5oHZxoy2ADU2TSTKieDe5RjnN7jc7z2AHQQVtWjeo42UP9LxuiqoWltCqW2wMz5qHGTUKNkkuqlQtOdULf12abbR+Fpajx01BFScwr5oJIJ9tGlwd8hcbxDsJqcd6/fz/l5eWD25OxnO+++27efPNNNm7cyPTp1npqrBfnwIBhKad6Y4Yj5kYV8wyTxkOmg0Hobkcfb4WgvdZNShQUQ3E5KsXvOHj4CH2vv0rg08bRD84UHg/e/3g9vu9+H1Ux+ipPYXQggP6iEb3lbehxkLXmnwizzwZvapGj7T19rFj1FOsb/zK4zeplJZtbj7Hz8LHkhV8pmDobVTUdlYLVpbU2+oGTHTDgII+NtxA1YZrx7KTq5nWiSKfbJrfXcHc7pGjHoDh/+Sfz4nz2N+ns7IwS59FYuXIlr732Ghs2bGDWrFlpXz8R1olzMGBYi4F+ky1yiEhb8FDpQADdeQw6DmU3MMlbAKWVEAyaWlg80LKbvt+9QrDF+rSBpFEKz8VX4rvldlyTJqd9Gn26F71tI3rr+9l13ZeUQ825UGQESaXKdQ88xpatn/NMMDhUrjId17NVVM1ATZmF8vpo2rWHlr37mXPGTGpmVSd9Cg3G89Ldnl1hc3tQ46dBmR9lamGFUNBYtvs05Qr1Qyb7Io/P6FNMfSfmGRLnRgvEuTZpcdZas3LlSn7/+9/z/vvvU1NTk/a1R8K8OOugIcpWj3SzFWDhckHQghs4Aj3Qh+44Ap2ZWeZvELcHSscZfYNFp9RaE/hsO32/exl95JBFZ00O98IL8N32A9xnzrHsnPpUF/pP76G3b85s5+krhLnfgNKS4fPKSdK0/xBn198XVa4SjLSnOuCrZx+ytaJYFJVVqOk1qMIi2k90Un/PA6z74KPB3VdfdhFrnn0cfypeDpTheepuz+zgVrlg3BRU+YRh8QumzwuZF2m7rustNIQ6S0Fj2RLnH/7wh/z2t7/l9ddfZ968eYPbKyoqKCoqSrsdsaQvzrER2HaRKbdQBh4c3ddruLptilAdRCkoGw8uN8qmwY0eCDCwZTN9r/8bdJ2w5RphXGfMxnfrHXjOX2zbNXTHMYKb/gA7P7PtGoBxP9ecC36/6RHT+i3buO7B1ezDWO85zH6M4h5rV61k+bk2r+JVUoGaeZaRuhbi2vo72bxxM88EAkPWvNvN0ouX8kbDr1O+hFbK8G6c7LCu3YmorDIisN02pklmyvBQCogfwGrpNbIU2T0ozl99Yl6c5y9OWpwTeR9ffPFFbr/99rTbEUvqYXhaG1Zy/2kyYtWGhdkukc7EDRy+lK8QNeVM9NenjKCxXhvmPEvHgccbEmX7fh/lceO96CI8ixbT//579K9/HU5bO1BTEyfhu+V2PJdcOWpAkelr+SfivuY29KG9BDeug9bd1l9k1nyYNCVtSzmW2VMnAYnLVbaeOk3zQAE1hUEYMDndFEtBkZEWVV4Z5fJt2rWHdR98FGfxiQB1H3xE8+69Kbm4ASNw0eNF+ydBbw98bUOaX6kfNW4qyjd66oxptM19WtS5be7XtDaC+NRpwxtk56AmEdZkUiWNnQlOkaQmzgPhtKgszJ1YLtKRUeKZnddSRSUwrQZ6utBtB43v1CzF5UaHacWcUgqowgJ831mO56KL6V+/joH33zH/+5SU4bvpP+H9zt+gfJkpvhFGTanG/b1/QO/6kuBH66D9qPmTTj0DZswKFcu17reZO2MKy2sXcs/Wz9GhdKc3gR+F9t/5xAsALP/mN2hYdT/+3g7zz67Hi5oxD/xVcQdMLXuNzOiEi0/s2ZeyOIdRWkNBEbqwxKgzbkXaYlGZEYFdaE3wXErYYXiEz5XpuXodNH4PlztkSWcy/SrD6pwhkndr9550UNShyQALB0VQah2E7g7Dkk4nb7WwxOhgsh1sEiJ47Bh9r/+ewCcfp/5mrw/vNd/Fd/3focrKRj/eZnQwgP7qz+iP/wCn0lh0YvxkmHUWeO17+Du6T1L/6LOsbzTc8S6gHPgXiA4QW7SAtU+tMu77toOpX0i5YNoc1MRpI87DNu3aw1lXXJtwHnzH+2+mLc6RDEZ2nzqR3tSarwg1YZpRSMgpmOmXHNSnAYYFXWDvgGfQrf3Xrebd2mctSjla226SF2cnVsBKdZ7YaTdwBDoQQHe1Qfuh5D6PtxBKK0xHYNtFYO9e+l79vwSbkqjO5XLhuezb+P6uHtfEKvsblyK6vw+97SP0J+9BXxJCUFoJcxeAz2vroLxp/yFaWo8wZ5rh3v5g21fc9T/+V+IAsTVPUTN9ilFYorcHTiTpFZhUjZp8BsqbnMsyPOf8dCAQsepU+nPOI6HD/znZntzg1uM1IrBL/Y58bgyPnkq+roANAayWUZx88F86DIrzjj+bF+d5FzhOnJ1Z+iVZwiI2WoBFeL9DhRlAud0o/yR0+TgjsjtRxxmOwCbk5nNkBwPu6mqK7vtHBj7/gr7fvYJujS0EGTrugiX4bv0vuKutzxO0CuX1oWqvQJ/zTXTje+jPNsW/lwqKjAjskiJbRbm96yQrfj5kLQMsr11I/dWXA4ldyi+/t4lbrrzQEGiXMsqBdnckDrTyT0ZNnzNicZd4rHn2cepWPkBdZLT2xUtZ8+zjKZ0nGVToP7psvPGbdB9PUI3QBeOmosrHoxxWTCMabYjtaIZHeL9TiwNlEoXJhS8sa4ml5LblHEusZeyUnOk00H2n0e2tQx2ncoUisJWl91K6uaipoAMBBhob6X/tX9En2gFwzZ6H77Yf4Dn3G7Zc0050Zzv64z+gd3xqbHB7YO5CqKjIyIOeKLd5wTk1bNi+I8pybgeuArZFvH957UIaHl6Jv6zUGM8WlUD7Eeg9ZRxQ6kfNnIcqTt8aAWjevZede/bZem/FolFGbMzJ9tAWZURgV05CeXLQFlFuIDg04FARNbCdTqYs56Y/U25iGqyru5vKuc6znPNLnMMotxERmwejSt3bg+5uN0TZwihBq3JRU0Gf7qN/44e4pp+B58JLHepWTB599CDB7ZtN5Sqnymi5zZedO4/tXzQP1sP+G2A38D+JMwf9+E+GTqBcUFCMKq2Essrc/21C7VflE1HezAYV2kLY2s8FUQ6TMXH+1AJxPt9x4uyMOmxWo4N5IcwAqrAYVVRqqTAD1N/zAJs3buYlYB9G575542bqVj5g6XUiUQU+fN+5Bu9Fl+V85w+gqqah5pydMWEGaGk9AiR2Xd9143dYsmgBdRi5ztswhPlWjFzoW4Gng0HWN35G84GIIjI6CIF+VLlT52JTQ2mN8k/OD2GG7ERg5wrhZTvNvBxIfoqzMCLhXNRnAoHoTjsQYF0oF1VwJpG5zZGEc5vPq6lm7eM/4as1T/HI3/8tMEJa08EjdjVTEASTiDiPQZLJRRWcyWBus8vFSxjVwF7CWMpxee1CI9gLqJk+hZuvuBBILOThKG9ByG2UBS/nIeI8BpldbRR7TNhpnzEzo+0RUqPh4ZVRrus6YMmiBTQ8vDLquGSFXBBymjx1a+dg+KJglrlnnsHVl13EPRs3o2NyUa++eGnGImuF9PCXlbL28Z/QfOAQOw8aec6JhLbh4ZXUP/osdZFpV3GE3C4ykQ0gCPmIiPMYJZO5qII91EyfMqr1m4qQW0k2sgGEMYpZ61csZ8FJ+CsqeKPh11nJRRUyTzJCbiWR2QCDKVyhbACrq4QJY538rK0t4jzGqZlVLaIsWIodK1MJQiKUUqbS/5yaOigBYYIgWIpkAwiCeUScBUGwFMkGEDJKnkZrizgLltG0aw/r//1DKWIyxhnMBnC7o1O43G6uvuwicWkLFiN5zoIQl/YTnVxbfydnXXEt19z+D8y7/Bqurb+Tjs4cqscuWMqaZx9n6cVLo3Kxl0o2gCAkjQSECaaRyFwhFskGEDKHWde0My1nEWfBFBKZK4yEZAMItpOnec7i1hZMIZG5giAI1iPiLJhCInMFQcgu+RkQJm5twRRSp1sQhKwibm1BiI9E5gqCIFiLWM6CaSQyVxCErJGfpbVFnAXrkMhcQRAyT36qs4izIAiCkLvInLMgCIIgCJlALGdBEAQhd8lTy1nEWRAEQchh8nPOWdzagiAIguAwxHIWBEEQcheFSbe2ZS2xFLGcBUEQhNwlPOds5pUGv/rVr5g1axaFhYUsWrSIDz/80NKPlZ/irPLsY7nzyMHhyrPfxleY7RZYh7cgz54dh5pEaeHcGtBjkVdeeYUf/ehHPPTQQ3z66adccsklLF++nH37rFvoR2mtdVJH9nRadlH7UEYH4/GB1tDfC4H+bDcqfdwe8BaCy43u6YQTR2GgL9utSg+XG8onQpnf6GL6T+fuZwFweQxhdrnRbQcJ7vosR56ROLi9qJnzUdPnGn93tUF3O5Bc1+A4CoqhchKqoBgCA0Y/EAxku1Xp4ykw+jUIPTens9ueZCmusPX0XV1dVFRU0Nm6l/LycnPnmVpNZ2dn0udZsmQJF1xwAc8999zgtvnz53PDDTfw2GOPpd2WSPLHJPMWGDdx2EWhlPGQBgPQ1wvBgey2LxVcbkOUIyxmVVyBLiqHk+3QeSx3OhuloGw8lE9AudxD231FxiCqv9foQHMF5TJE2e0d2jRhGq7xU9CH96B3b4e+r7PYwBRQLtTUOajqc1C+gqHt/snosnHGYDCXBhyeAqisQhVHdLBuD7hKjEF6f68xaM8VPL7h3gxfYcRzk8OGh5VkOJWqr6+PrVu38uCDD0ZtX7ZsGZs2bUq/HTHkvjjHu4EjcbmhsCQ3RtDKZYiyxxt/d0jodEkldB2H7uOgg5ltYyqUVEJFFSrB58HlhoJc+W1UaMDkjfswK+VCTTkTXTUTfaAJve8rR3eeqmomatZCVFFp/P0eH0yYju4bDyeOQO+pDLcwBdweqJgIJX7jGYlFKaOfcHsNb03/aRztFYjwmMXF5RoyPHJtcGsDXd3dlry/q6srantBQQEFBQXDjm9rayMQCDBp0qSo7ZMmTeLw4cOm2hJJ8uJss4vCdtwecMfviHIN5XJDZZXxygfy6bdxe1DVZ0P12dluiiUoXxFUnZHtZliDCk17eYd3uDlJeHA7RvH5fEyePJkZc88xfa7S0lJmzJgRte2RRx5h1apVCd8TOxDUWscfHKZJ7lvOgiAIwpijsLCQ3bt309dnPnYlnrDGs5oBJkyYgNvtHmYlHz16dJg1bQYRZ0EQBCEnKSwspLAwsxkTPp+PRYsW8c4773DjjTcObn/nnXe4/vrrLbuOiLMgCIIgpMB9991HXV0dixcv5lvf+hYvvPAC+/bt46677rLsGiLOgiAIgpACN998M8ePH+dnP/sZhw4dYsGCBaxbt47qauvWs08+z1kQBEEQhIyQT+WABEEQBCEvEHEWBEEQBIch4iwIgiAIDkPEWRAEQRAchoizIAiCIDgMEWdBEARBcBgizoIgCILgMEScBUEQBMFhiDgLgiAIgsMQcRYEQRAEhyHiLAiCIAgOQ8RZEARBEBzG/wcACv0eJhUxQAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots()\n", "\n", "hb = ax.hexbin(\n", " death_by_build[\"x\"],\n", " death_by_build[\"y\"],\n", " gridsize=7,\n", " linewidths=0,\n", " #alpha=0.5,\n", " cmap=\"Reds\",\n", ")\n", "\n", "ax.scatter(death_by_build.x, death_by_build.y, color='r', s=20, ec='k')\n", "\n", "# Add colorbar\n", "plt.colorbar(hb)\n", "# Remove axes\n", "ax.set_axis_off()" ] }, { "cell_type": "code", "execution_count": 13, "id": "9b84f432", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate scatter plot\n", "sns.jointplot(x=\"x\", y=\"y\", data=death_by_build, kind='hex', color='red');" ] }, { "cell_type": "code", "execution_count": 14, "id": "7e6125f7", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots()\n", "\n", "sns.kdeplot(\n", " data=death_by_build,\n", " gridsize=50,\n", " levels=10,\n", " x = \"x\",\n", " y = \"y\",\n", " #bw_adjust=1.5,\n", " fill=True,\n", " alpha=0.75,\n", " cmap=\"Reds\",\n", " cbar=True, \n", " cbar_kws=dict(shrink=.5)\n", ")\n", "\n", "ax.scatter(death_by_build.x, death_by_build.y, color='r', s=20, ec='k')\n", "\n", "# Remove axes\n", "ax.set_axis_off()" ] }, { "cell_type": "code", "execution_count": 15, "id": "c8d47bcf", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.jointplot(data=death_by_build, x=\"x\", y=\"y\", color='red')\n", "g.plot_joint(sns.kdeplot, zorder=0, levels=6, fill=True, alpha=.75, cmap='Reds')\n", "g.plot_marginals(sns.rugplot, color=\"r\", height=-.15, clip_on=False)\n", "g.ax_joint.set_axis_off() # turn axis off " ] }, { "cell_type": "markdown", "id": "7cd9632d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Measures of Centrography\n", "\n", "* Central tendency\n", " * Mean Center \n", " * Manhattan Median \n", " * Euclidean Median\n", "* Dispersion \n", " * Ellipse \n", "* Shape (Extent)\n", " * Convext Hull\n", " * Bounding Box \n", " * etc. " ] }, { "cell_type": "markdown", "id": "7502ab7e", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Central Tendency" ] }, { "cell_type": "markdown", "id": "6e640401", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Mean Center \n", "\n", "$$\n", "x_{mc} = \\frac{ \\sum x_i }{n}\n", "$$\n", "$$\n", "y_{mc} = \\frac{ \\sum y_i }{n}\n", "$$" ] }, { "cell_type": "markdown", "id": "cbcede93", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Manhattan Median \n", "\n", "> The Manhattan median is the location which minimizes the absolute distance to all the event points. It is an extension of the median measure in one-dimensional space to two-dimensional space. Since in one-dimensional space, a median is the number separating the higher half of a dataset from the lower half, we define the Manhattan median as a tuple whose first element is the median of coordinates and second element is the median of coordinates.\n", "\n", "$$\n", "min f(x_{mm},y_{mm})= \\sum^n_{i=1}(|x_i-x_{mm}|+|y_i-y_{mm}|)\n", "$$" ] }, { "cell_type": "markdown", "id": "747137cf", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Euclidean Median \n", "\n", "> The Euclidean Median is the location from which the sum of the Euclidean distances to all points in a distribution is a minimum. It is an optimization problem and very important for more general location allocation problems. There is no closed form solution. We can use first iterative algorithm (Kuhn and Kuenne, 1962) to approximate Euclidean Median.\n", "\n", "$$\n", "min f(x_{em},y_{em})= \\sum^n_{i=1} \\sqrt{(x_i-x_{em})^2+(y_i-y_{em})^2}\n", "$$" ] }, { "cell_type": "code", "execution_count": 16, "id": "c81b82b1", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "#import centragraphy analysis functions \n", "from pointpats.centrography import hull, mbr, mean_center, weighted_mean_center, manhattan_median \n", "from pointpats.centrography import std_distance,euclidean_median,ellipse\n", "from pointpats import PointPattern" ] }, { "cell_type": "code", "execution_count": 17, "id": "1eb0cf70", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# extract coords from the dataframe and stack them in lng/lat format for using pointpats package\n", "points = np.stack((death_by_build.x.to_numpy(), death_by_build.y.to_numpy()), axis=1)\n", "\n", "pp = PointPattern(points) #create a point pattern \"pp\" from list " ] }, { "cell_type": "code", "execution_count": 18, "id": "7730a762", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Center coordinates \t \t: [529413.85369427 181033.78696473]\n", "Weighted MC coordinates \t \t: [529414.75675154 181031.89339795]\n", "Euclidean Median coordinates \t \t: [529410.20734233 181027.07075087]\n", "Manhattan Medi an coordinates \t \t: [529422.525932 181027.12929 ]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\barguzin\\anaconda3\\envs\\geo_env\\lib\\site-packages\\pointpats\\centrography.py:208: UserWarning: Manhattan Median is not unique for even point patterns.\n", " warnings.warn(s)\n" ] } ], "source": [ "weights = death_by_build.deaths # extract weights for weighted mean \n", "\n", "mc = mean_center(pp.points) # mean center\n", "wmc = weighted_mean_center(pp.points, weights) # weighted mean\n", "em = euclidean_median(pp.points) # euclidean median \n", "mm = manhattan_median(pp.points)\n", "\n", "print('Mean Center coordinates \\t \\t:', mc)\n", "print('Weighted MC coordinates \\t \\t:', wmc)\n", "print('Euclidean Median coordinates \\t \\t:', em)\n", "print('Manhattan Medi an coordinates \\t \\t:', mm)" ] }, { "cell_type": "code", "execution_count": 19, "id": "6cc4e2dc", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp.plot()\n", "plt.plot(mc[0], mc[1], 'b^', label='Mean Center')\n", "plt.plot(wmc[0], wmc[1], 'gd', label='Weighted Mean Center')\n", "plt.plot(mm[0], mm[1], 'rv', label='Manhattan Median')\n", "plt.plot(em[0], em[1], 'm+', label='Euclidean Median')\n", "plt.legend(numpoints=1)" ] }, { "cell_type": "markdown", "id": "6ec08f5d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Dispersion" ] }, { "cell_type": "markdown", "id": "cdf4895c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Standard Distance & Standard Distance Circle \n", "\n", "> The Standard distance is closely related to the usual definition of the standard deviation of a data set, and it provides a measure of how dispersed the events are around their mean center\n", "\n", "$$\n", "SD = \\displaystyle \\sqrt{\\frac{\\sum^n_{i=1}(x_i-x_{m})^2}{n} + \\frac{\\sum^n_{i=1}(y_i-y_{m})^2}{n}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 20, "id": "292ce1e9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stdd = std_distance(pp.points)\n", "\n", "circle1=plt.Circle((mc[0], mc[1]),stdd,color='blue', alpha=.3)\n", "ax = pp.plot(get_ax=True, title='Standard Distance Circle')\n", "ax.add_artist(circle1)\n", "plt.plot(mc[0], mc[1], 'b^', label='Mean Center')\n", "ax.set_aspect('equal')\n", "plt.legend(numpoints=1)" ] }, { "cell_type": "markdown", "id": "94d7636f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Standard Deviational Ellipse \n", "\n", "> Compared with standard distance circle which measures dispersion using a single parameter **SD**, standard deviational ellipse measures dispersion and trend in two dimensions through angle of rotation $\\theta$, dispersion along major axis $s_x$ and dispersion along minor axis $s_y$. \n", "\n", "$$\n", "s_x = \\displaystyle \\sqrt{\\frac{2(\\sum_{i=1}^n (x_i-\\bar{x})\\cos(\\theta) - \\sum_{i=1}^n (y_i-\\bar{y})\\sin(\\theta))^2}{n-2}} \n", "$$\n", "\n", "$$\n", "s_y = \\displaystyle \\sqrt{\\frac{2(\\sum_{i=1}^n (x_i-\\bar{x})\\sin(\\theta) - \\sum_{i=1}^n (y_i-\\bar{y})\\cos(\\theta))^2}{n-2}}\n", "$$\n", "\n", "$$\n", "\\theta = \\displaystyle \\arctan{\\{ (\\sum_i(x_i-\\bar{x})^2-\\sum_i(y_i-\\bar{y})^2) + \\frac{[(\\sum_i(x_i-\\bar{x})^2-\\sum_i(y_i-\\bar{y})^2)^2 + 4(\\sum_i(x-\\bar{x})(y_i-\\bar{y}))^2]^\\frac{1}{2}}{2\\sum_i(x-\\bar{x})(y_i-\\bar{y})}\\}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 21, "id": "898501fb", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sx, sy, theta = ellipse(pp.points)\n", "theta_degree = np.degrees(theta) #need degree of rotation to plot the ellipse\n", "\n", "from matplotlib.patches import Ellipse\n", "from pylab import figure,show,rand\n", "fig = figure()\n", "#ax = fig.add_subplot(111, aspect='equal')\n", "e = Ellipse(xy=mean_center(pp.points), width=sx*2, height=sy*2, angle=-theta_degree) #angle is rotation in degrees (anti-clockwise)\n", "ax = pp.plot(get_ax=True, title='Standard Deviational Ellipse')\n", "ax.add_artist(e)\n", "e.set_clip_box(ax.bbox)\n", "e.set_facecolor([0.8,0,0, .5])\n", "e.set_edgecolor([1,0,0])\n", "ax.set_aspect('equal')\n", "plt.plot(mc[0], mc[1], 'b^', label='Mean Center')\n", "plt.legend(numpoints=1)\n", "show()" ] }, { "cell_type": "markdown", "id": "4a1f5af5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Shape Analysis" ] }, { "cell_type": "markdown", "id": "109fa13d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Convex Hull \n", "\n", "> The convex hull of a point pattern pp is the smallest convex set that contains pp. " ] }, { "cell_type": "code", "execution_count": 22, "id": "5a521fc8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp.plot(title='Centers', hull=True ) #plot point pattern \"pp\" as well as its convex hull\n", "plt.plot(mc[0], mc[1], 'b^', label='Mean Center')\n", "plt.plot(wmc[0], wmc[1], 'gd', label='Weighted Mean Center')\n", "plt.plot(mm[0], mm[1], 'rv', label='Manhattan Median')\n", "plt.plot(em[0], em[1], 'm+', label='Euclidean Median')\n", "plt.legend(numpoints=1)" ] }, { "cell_type": "markdown", "id": "9230ff5e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Minimum Bounding Rectangle\n", "\n", "> Minimum Bounding Rectangle (Box) is the same as the minimum bounding Rectangle of its convex hull. Thus, it is almost always bigger than convex hull." ] }, { "cell_type": "code", "execution_count": 23, "id": "05a85784", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp.plot(title='Centers', hull=True , window=True )#plot point pattern \"pp\", convex hull, and Minimum Bounding Rectangle\n", "plt.plot(mc[0], mc[1], 'b^', label='Mean Center')\n", "plt.plot(wmc[0], wmc[1], 'gd', label='Weighted Mean Center')\n", "plt.plot(mm[0], mm[1], 'rv', label='Manhattan Median')\n", "plt.plot(em[0], em[1], 'm+', label='Euclidean Median')\n", "plt.legend(numpoints=1)" ] }, { "cell_type": "markdown", "id": "74f4ebe6", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Quadrat Statistic \n", "\n", "* CSR (Uniform and Independent) \n", "* Partition space into regularly spaced grid cells.\n", "* Since Process is uniform - expect same intensity everywhere" ] }, { "cell_type": "markdown", "id": "c4968f9f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Quadrat Statistic\n", "\n", "$$\n", "s^2 = \\frac{\\sum(x_i - \\bar{x})^2}{m-1}\n", "$$\n", "\n", "$$\n", "VMR = \\frac{s^2}{\\bar{x}}, \\quad z = \\Bigg( \\sqrt{\\frac{m-1}{2}} VMR - 1 \\Bigg)\n", "$$\n", "\n", "where $m$ is the number of quadrats, $\\bar{x}$ is the mean number of points per quadrat, $s^2$ is the variance of the number of points per quadrat, $(x-\\bar{x})^2$ is the cell deviate and $VMR$ is the variance-mean ratio. \n", "\n", "See more details [here](http://webspace.ship.edu/pgmarr/Geo441/Examples/Quadrat%20Analysis.pdf)" ] }, { "cell_type": "markdown", "id": "761c7d14", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Quadrat Statistic \n", "\n", "* H_0: The distribution of cholera deaths is not significantly different than random (Null Hypothesis)\n", "* H_a: The distribution of cholera deaths is significantly different than random (Alternative Hypothesis)\n", "\n", "$\\alpha=0.05$" ] }, { "cell_type": "code", "execution_count": 24, "id": "5341e265", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value: 5.956733903969489e-23\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pointpats import (\n", " distance_statistics, QStatistic,\n", " random, PointPattern, centrography\n", ")\n", "\n", "qstat = QStatistic(points)\n", "print(f'p-value: {qstat.chi2_pvalue}')\n", "qstat.plot()" ] }, { "cell_type": "code", "execution_count": 25, "id": "6a5d5592", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mean points per cell: 27.77777777777778\n", "variance: 380.5061728395062\n", "VMR: 13.698222222222222\n", "z-score 25.396444444444445\n" ] } ], "source": [ "list_counts = np.array([2,12,10,35,56,38,23,60,14])\n", "#mean_count = np.repeat(27.7, len(list_counts))\n", "m = 9\n", "points = 250\n", "\n", "xbar = points / m\n", "var = np.var(list_counts)\n", "var = np.sum((list_counts - xbar)**2) / m-1\n", "vmr = var / xbar\n", "#z = (np.sqrt((m-1)/2)*(vmr-1))\n", "z = np.sqrt((m-1)/2)*(vmr-1)\n", "\n", "print('mean points per cell:', xbar)\n", "print('variance:', var)\n", "print('VMR:', vmr)\n", "print('z-score', z)" ] }, { "cell_type": "markdown", "id": "ecfe0c1c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## If $z$ is not within $z_l \\leq z \\leq z_h$, where $z$ comes from the $z$-table and $z_l=-1.96$ and $z_h=1.96$, we cannot accept the null hypothesis. " ] }, { "cell_type": "code", "execution_count": 27, "id": "2a60f836", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value: 0.048347097224378154\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hull = centrography.ConvexHull(pp.points)\n", "random_poisson = random.poisson(hull, size=len(pp.points))\n", "\n", "ran_qstat = QStatistic(random_poisson)\n", "print(f'p-value: {ran_qstat.chi2_pvalue}')\n", "ran_qstat.plot()" ] }, { "cell_type": "markdown", "id": "8ca76c23", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Distance-based Measures of PPA\n", "\n", "* Nearest Neighbor Distance \n", "* Distance functions (GFK) " ] }, { "cell_type": "markdown", "id": "5c3d69bc", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Mean Nearest Neighbor Distance Statistics\n", "\n", "The nearest neighbor for a point $u$ must meet the following condition: \n", "\n", "$$\n", "d_{u,N(u)} \\leq d_{u,j} \\forall j \\in S - u\n", "$$\n", "\n", "It was demonstrated by Clark and Evans(1954) that mean nearest neighbor distance statistics distribution is a normal distribution under null hypothesis (underlying spatial process is CSR). We can utilize the test statistics to determine whether the point pattern is the outcome of CSR. If not, is it the outcome of cluster or regular spatial process?\n", "\n", "$$\n", "\\bar{d}_{min}=\\frac{1}{n} \\sum_{i=1}^n d_{min}(s_i)\n", "$$" ] }, { "cell_type": "code", "execution_count": 28, "id": "2c7264b0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "(array([188., 46., 8., 6., 1., 0., 0., 0., 0., 1.]),\n", " array([ 2.46704738, 11.18215934, 19.89727131, 28.61238327, 37.32749524,\n", " 46.0426072 , 54.75771917, 63.47283113, 72.1879431 , 80.90305506,\n", " 89.61816702]),\n", " )" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tt = pp.knn()\n", "# plot distances to nearest neighbor\n", "plt.hist(tt[1])" ] }, { "cell_type": "code", "execution_count": 29, "id": "3bf70b12", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# tt = pp.knn(3)\n", "# new_tt = tt[1].reshape(tt[1].shape[0]*tt[1].shape[1],)\n", "# plt.hist(new_tt)" ] }, { "cell_type": "code", "execution_count": 30, "id": "b68b095e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "(array([30., 43., 53., 45., 32., 19., 13., 10., 2., 3.]),\n", " array([ 1.41832384, 4.42328832, 7.42825279, 10.43321727, 13.43818175,\n", " 16.44314622, 19.4481107 , 22.45307518, 25.45803965, 28.46300413,\n", " 31.46796861]),\n", " )" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "random_point_pattern = PointPattern(random_poisson)\n", "\n", "tt = random_point_pattern.knn()\n", "# plot distances to nearest neighbor\n", "plt.hist(tt[1])" ] }, { "cell_type": "markdown", "id": "f1d33525", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Questions? \n", "\n", "## Data Report instructions are on GauchoSpace and on the [course website](https://barguzin.github.io/ucsb_geog172/project/data_report.html). " ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python (geo_env)", "language": "python", "name": "geo_env" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }