{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to use this notebook\n", "\n", "This Jupyter notebook and the other files in this directory present the code related to the Medium blog post titled \"What is Giotto and Why James Bond Should Use It to Extract Secret Messages\". The idea is to use topological data analysis (TDA) to predict the regime change from a chaotic regime to a non-chaotic regime in time series with different levels of noise. For further information please refer to the blog post.\n", "\n", "\n", "As the feature creation takes a long time (around 45 minutes on a MacBook Pro with 16 cores), a precomputed dataset is loaded. In the 'Plot Features' section the features are directly calculated for a smaller time series for presentation purposes. In case you are interested in creating the features for all the time series yourself, run the bash script 'create_features.sh'." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Library Imports and Some Utility Functions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Imports from Scikit-learn and XGBoost respectively\n", "from sklearn.ensemble import RandomForestClassifier\n", "from sklearn.ensemble import GradientBoostingClassifier\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn.metrics import balanced_accuracy_score, make_scorer\n", "from sklearn.linear_model import SGDClassifier\n", "from xgboost import XGBClassifier\n", "\n", "# For bootstrap confidence intervals\n", "from numpy.random import seed\n", "from numpy.random import rand\n", "from numpy.random import randint\n", "\n", "# Others\n", "import pandas as pd\n", "import numpy as np\n", "from datetime import datetime\n", "from itertools import product\n", "import os\n", "from pandarallel import pandarallel\n", "from joblib import Parallel, delayed\n", "from functools import reduce\n", "from scipy.fftpack import rfft\n", "import openml\n", "from openml.datasets.functions import get_dataset\n", "\n", "# Giotto\n", "import giotto as gt\n", "import giotto.diagrams as diag\n", "import giotto.homology as hl\n", "\n", "# Plotting functions\n", "from plotting import plot_diagram, plot_landscapes\n", "from plotting import plot_betti_surfaces, plot_betti_curves\n", "from plotting import plot_point_cloud\n", "import matplotlib.pyplot as plt\n", "import plotly.express as px\n", "\n", "# Our own feature creation and plotting functions\n", "from chaos_detection import *" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Make balanced accuracy scorer\n", "bal_acc_score = make_scorer(balanced_accuracy_score)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Features\n", "Here we create the features for a small time series in order to present the TDA features." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New pandarallel memory created - Size: 2000 MB\n", "Pandarallel will run on 16 workers\n", "Optimal embedding time delay based on mutual information: 5\n", "Optimal embedding dimension based on false nearest neighbors: 14\n" ] }, { "data": { "text/html": [ "
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Ger4+TduzA0C+dfFw/q8a2IsJw3t2Smq86N2f377wGQEnQGGJcOZBoxg1oNzz9RmjXfb8HE43GqDo6ccSpZS3oscWq2f3imwjeq74x39/njB9R32In56wr+fr02ui3NEARTc0OMUdZOPTBbTRlGACFr5fuPX0bZzs5InDOHa/ExL6Vk+47kXfCmdGjN6Z8HN0g+jxqadv42T7Dq2kV3GAv7+zKjatqSVCkSX898xxnq/PTk/t2Z9BtMueH91qcp0RF12L1qBQqrDpuWJqx40fwpJfJp4rHnjDy76dK2pWee5ogKIAWIKvNRJ6+ncxIP6lvusdt/aVFiUOnyUivqUy6wm+fVFlDL7U/dCuTKkdve9gPv3lCQnTxlzzvK/Hm56eQRHtMhaOGIIed6sxOT6et3bxUEoVsti5Yp7b0RW1OVfEv3O6iHaTzBlNFioAvl64oRcV0Ys1P7IotF+he34H4np66mS0L6cfWRTalck9S8S3C06D3oEL+Lmf6/FcKeUDzUJ0z9/C9vobmis9/JS8MPh54RbRDAp/L9yMXri5JYhvUXGDpr5bcXeWvRZdpP6wuyD4WsSxp38EgVjA2ftl5zojrnWYUc2hUKqQafAzA+Jf4WBjdMS3XNEuHgVAxMcLN+2bT8C5tX7o/7xCNMEuYMENXz6A48cP6dSyjV64uSbi34m4pr63BuIO/+2rRPdzS+BXX96fWZ0c1izXqe/dmSU+djnS9NSE/Tx63LUEfnnaBE7Yf1inlh3Ru5xKKR9oFqJ7ll4TFQQNUBQAu7+Vj3fcfFly93HyAcPYsLMhoV/4Q/NXs3Ddzk4HKDSDwj0R//paa9oenHTAMNbtSLGfr93Z6QCF3v1xzz658jMQ17M/g1kThrJmWz2huP384XdXs2Dtzk4HKHLdZU9rUCjVM2iRTPf8vpmlH0FuaICiAPjfZ9mnhXcTowaU88vT9k+Y9si7qz05AGoGhXuWj8Ng6o8O7NG/7X7+j/fWeNLdQANx7gk+1lpBi6zt0b+cXyTt549/sNaTba77uVLKD1pQ3T1fa1CgN1pyRWtQFAARH4fB9GEotkJgHwD1wi2XBB8zKNALt1S8Cn62nlzpVk7Hq2NLKjqcbmqWR32W8xVw1hIUShU2Lajunn2u6O/Ie8p/GqAoAL5mUBi9eE7Fqz5u+qPjnp8XbkZT31MSjwo2tu7nnV5UwRMfa1AYYzQSl4JXBXhzHXAW7eOhVI+gN7PcEx8zKDD0+BHfckU3cwGwU4L9rEGhR8Rk4tHIKZq2lwEfL9wiEf0MUvHqYjl6N0ODQOmJjzUotMBXapZHWYgacFZK+UFHwnLPzyC/XhPljmc1KERkHPBo3KS9gGuBvsBFwBZn+jXGmOe9Wq/y+46bXril4lURntiPjh7w0vKzeKBBMyhS8aruR3RIR93G6Vl+FoNFix6n4nVXppwVyXT+9yudWSnVNehIWO5ZPhbJNGgWS654FqAwxiwFJgOISABYBzwFfBv4ozHmZq/WpRL5ecdN+yyn5lV3g+jnpilj6fk5iodv6YDdnPc1KDxYWIETP2tQRPR4npJHXZla73J2elGu6EepVM+g2VnuedVlL5WIjviWM35dFh0LrDDGrPJp+SqOn3fcQEc3SMWrKsHRReiPTnr+1qDQzyAVr2pQ6DCj7lkedR9LxejxPCWvagrlKxCndduUKmxag8I9y6PzllSMjviWM34NM/oN4OG4x5eLyDnA+8CPjDHb42cWkYuBiwFGjRrlU5MKl5933PTCLTXvLtz0R8ctwd/igbqbt+XVNtf0VPfEo4vlVPTuT2pendCavHXx6Nq+2FrHX15dRku4taWWwIVH7MX+I/rksWVKdQ8a5HdPfB44QD+B3PA8g0JEioHZwGPOpNuBvbG7f2wAfp/8GmPMncaYacaYaYMGDfK6SQXP8rsgjH4b2/Dujlv0L93I6fhZmVnHtk7NsrwaTtdZnm7jtOygkJ8BZ18W3a15fTzX/TzRK0s28eSH6/h4zQ4WrtvJwnU7efrj9fxrwfp8N02pbkGHt3TPqxuIqWi9stzxI4PiROBDY8wmgOj/ACJyF/CsD+vs4fy9cNM7bm15VYTHaAaFa/Zu6ONoNfoZtOF16rvu5+n5PZyu7udtddeMuOhvs18BLa9Em/fcFYdTWVoEwPhrX0zIqFBKtU9rULjn6ygeOuJbzvhRg+JM4rp3iMiwuOe+AizyYZ09muXrhZve20/Fq7v5+qPjnj0UoD/LNpr6npJXqe+tffN1G6fjZ0acZgql5vXxPFf7eXf5KFMNM1wUsGgJ+3RAV6rAaEF193TEt8LgaQaFiJQDxwOXxE2+SUQmY58bVSc9pzwgvl64Gb3rmYLXF256wEtPEN+G07PHtlZteR2I6/yyCp2fXZl0P0/Nq4y4fGUKdfU8hFSjmxQFhJAOn6TyLBIxzL71LVZtrU+YPmXPfvzt/Ol5alVb2n3MPcG/QtN6yModTwMUxph6YEDStLO9XIdqy+/RDfSuZ1teXUTkeli67szP0Q2iy1eJvL9w042cjj2crh7Pc8mrYelynREXK5LZxU+aY5klceGxoKUZFCr/mloiLFq3i2l79mPiyL4AzP+iho9WbU/zytyKZSHmuR3dgVfDo6eiAwfkjl+jeKgcEvy7g2KnM/m08G7M6ws3Pd6l5+/oBkYv3FLwqgaFdmVyz9f+s1qDIiXNiPNXqt+5YEC0BkUBiUQMK7fWJZwXBQMWVQPKPfltXbu9nobmcMK0PQf0ojjYuT4P0WDwsfsN4dKj9gbg188tZuWWuk4t12vaTTIDOsxoQdAARQHwc5jRSCTxroeyeZW1kuth6boz8SgoBLBkwy52N7bEHu9sCFFWFPBk2YXE+xoUnV5UwfMyI+6zjbvY1ZC4nxcFtBNzsmwz4jbvbqQ6LjV8xZZaZ3letSyNaJHMLt/Jw5bYxcPSLh4F5P/eWMlvX/yszfQ/nDGJ/5o6slPL/mj1dr5y29ttpn992h789msTO7XsqPh9M2BZhLtoWpLeMEzPstMQPbF04252NoRij7fXN+v5eo5ogKIAiEcpFMYY5q2oYXdT6wnttrpm+pYXdX7hBSbbPm4rt9SybHNt7PGidbsADVC44dVvzvLNtZz45zfbTD9qnA5xnCzbC7cvttbx+abdsccL1+0E7GFLVce8ylpZuaWWE/7Udj8/ch/dz5NlG/y88P73WbB2Z5tllRfnJtjZXb5NqQLxQUu0i0cBqaltoiRo8fszJgHQ0BzmJ48vYFtdswfLtpfx0xPGMap/OQD/8/xnbKvv/LJbux+1Clh2Rkg+raqp47ONrb+hn6xxfkP1XDEt+/y885/fmm31zPrTG22mH7JX/04vW6WnAYoC4NUdt8827uabf53fZvrM8UM6vexCk23Wynce+IDPN9UmTAtaQnmJ3r1Px6vKzLsb7Wj4T2aNY/IefWPTxw2t7PSyC022F26XPvBBwskVQMASKor1Jycdr06uohlCP565D1NG9YtN1/28rWz7LO9qCHHoXgO4/JgxsWn9exUzoKLEu8a50TVv9sZEUlwEFgUsVtXU8+h7q2PT+pQVMWvCUE1j74ZaIobSogCnTBwOQG1TCz95fIEnx7IWpwr8UfsMZvzw3gDc9toKb7ofOv8nZ1C05DlA8b2HP2oT/LQEKkr1NzQdr4L8tc7N2h8cN5aDqlqDEmOHVHR+4Sot3dMLgOXRneX6ZvvL+Ksv78/UUa0XbqMH9vJg6YXFsshqo9c1hTl238H898x9YtP69yqmd6lmqaTjVWXm6DL2H9GHGWMGdn6BBSzbC7f65jBHjxvEj2eNi03rV15MH83GSsurGhTRC4MJup+nlW1XpoiBIb1L8rZ9oxdVXTw+kbIGzbA+pbzy2WaufGJhwryv/uhL7DVILwC6m5ZIhGBchlzA+ay9SJKJBguCgdbl24v3rpttfFfmaNsjEZO3rL+6phaOGDuQq07cNzatb3kxA3Md/OyGxOOuqeOH9dbf0DzQAEUB8HpEidEDejFheJ/OL7CAZZu1EjGGfr2KdftmwavKzK3pxh4srMBlf+Gm+3m27P3ci5Or1uWpjllZ/oZGjNHt60KqGjS3f+tAttY2xR7PXbqFa55aSFOLdvvojlrCJiGAYDmlbjzJoHCKqcYHQMSjUb1SZVBE30dLxFCcpxOFiLEDEvobmjnx7FzR/l+P8fmhAYoC4FXxwGifO71wS68zJ7QBPdhlx7OouP2//uikl23wU4fiyp6IXZy4szQQl4Esjy35HrY1ete3i9bzi2m9CGzdVsVBi+F9y2KP+/cqtuft4u+lO3tx0QZe+2xLwrQ+5UX8ZNa4ThfPDYUNQat1Ga0ZFJ3/QENOGkZ8G+2hgb3IoGg7Lfrb5VfxeTfsc8W8rb5bEzweHl3rSueFBigKgP1l7PxyYv1E9cIirWxTyCJGD3bZ8qoys44o4V72+7kG4rKlGRS5l+2xJWIM+RwUpbt8tG6G5mvtrqIRCr/cPncFSzbupn+5HQxqbAmzoz7EaZOHd/pOfTgSScigCFjeBSjC7XTx8GRPSbGQ6Hc6n3UoNDsre5al10SFQAMUBcCrE1q94+ZetkGhSMTowS5LXhUPjEXF9XNIK9vCpBFjNBDXCd502dNAnFud6crUFY4jXf2i3pj0I45En9cMCv+EwoYjxw7ir+dOA2Du0s2cd+97nnSrCUVMUhcM8Sy7NzocbSBp+d4UyYweJ+ODK/aPlxfBlWxFInphnC3Bm4ED9Fwxv/QUsgB4lRIcu+OmEYq0OlODQu8sZ8eryszar9A9K8uCjWE9ucqaV6PV6MmVe9me0OZ7P+8un6ybQE50O2qAwj8tkQhFcVkIxUH7EqAp1PkTyJZwpE03EUuEsCc1KJwuHlZ8Fw9vblikHGbUeZDPoUbznZ3VnXk1cIDetM0vzaAoAJYIr362mWk3/Ds2rX+vIp787gwqStx/xBH9MrqWfYBCt2+2vK7MrJ9Detnu58YY3b5ZCljCG59vTTie9y0v4olLD6NPmftRUDQQ5162Bfe6yn7e1S/qDekzeWIZFF08G6Q7awmbhCyEEidA0ezBUBvhSOKywa5D4cUoHu118fBCymFGnciAdvHopjweOEA/h/zQAEUBuOLYsby1fGvscfXWOt5eUcOmXY1UZDBcV2tKsH4Z0wlYwkufbmLMNc/HpvXrVcy/f/ilDodS1C4e2QtYwpzFidu8b3kxr/x3x9s8mfYrzExzS4TdjaHY4+KgRUkw0OFr9OQqe5cdPYY3lrUWsltdU89by7eycWdjRgEKDcS5l212Vr738+40zGi6423svXT1N9ONhSKJWQ7FAfs43hQKd/i6yx76kJcWbexwnpaIYUrc8PRg1wLIJsD99f+bxwertsceR7MwEotkerOvtA4z2iqa5bqrMURpkb1OEcnohl/U1U8u4LH31yZM61NWxIs/OJJBle0PGZrv7KzuLGgJb3y+JeFcsXdZES+l2ebJohk0+jHkhwYoCsBJBwzjpAOGxR4/88l63l5Rk3GasN5xc+/qk/blnZU1scfLNtUyZ/EmttQ2dRygMG3vMih3rjqxvW3emGGAQi/c3CoJWry2dAsHXD8nNq28OMCbPz2aAR2Mxx7RUTyydsL+Qzlh/6Gxxy8s3MBby7dmfKIfjmjA2S0RqG9uYc22+ti0XiXB2MgS7cl3Rpx0k04expj0NSi6SbClOwuHE+tElDgX3xt2Nibs+4MqSygtag1Cf7x6B2MGV3DsfoM7XP6MMQMTHtsZFJl/oos37GLC8N4cPrZ1eaP6lye0ybPaa87/8cfJaGbJsb9/PWHeq07cl+98ae+Mlr94w26G9S1l9qThAHyxtY7nF25k067GDi+Wu0p2Vnf045njeGt5a5C/ems9zy3ckHabJ9MMivzSAEUBikZ/M/1d0As3944YO4gjxg6KPX5uwQbmLN6U9iIi3ye03VnyNn9+ob3NM00hbe1XqB9EOtfPnpBwJ2vxhl08+eE6auqa0wQo0lftV+5YWVbDbw04e92iwlNaFODtFTUccdNrsWkBS/jPlccwtE9pu6+z9/P8b2Avapb4yZD+eNs6ZGrXfi/dWShiErpJRDMCrnvmU6575l8szDgAACAASURBVNPY9IOq+vHYdw6LPa5vbuHY/Qbzk1n7ZrQ+y8ouQGEMTKvq3+H6vKq9Fr+8qJkThvDL5gk0xxUP/cPLnycEcVwzhr0GVsTey78Xb+L5hRtdnCvqzaxsHbr3AA7de0Ds8aufbeK5hRuy+A3Vc8V88jRAISLVwG4gDLQYY6aJSH/gUaAKqAbOMMZsb28ZqvOix7RMv4waLcxedJun+9EJa+q7Z9xu82TRkxr9HNKbMqofU0b1iz1+YeEGnvxwXdpjizFoMViPRPfTTK/bot8LPclN77dfPYCP1+yMPV64dgf3z1vF9vrmDgMUJt+ZQt3ko7W7NqaZyecMijXb6lm5tS5h2qCKEsYP7+3TGruelnCEYFyhyeF9y7j3vIOoqWuOTXv6o3V8snYHr3/eege6tqmF8uLMLxc6NQpU2polXo1eF11eq8rSIs45tCphvjteX5nV2pLrr0Q3f7rT83BEzxW9IrGbttleE3ndIuWGHxkURxtjtsY9vgp4xRhzo4hc5Ty+0of1Kkf2X0btb5Wt2DZPE9E3xugoKR7R/Tz33N7Nj+h+7pmsA3EacHZtzOBKxgyujD2uLA1y/7xVrvbzrlBpv6snHbjLoHDm9em9nHvvu6zckhigCFjCJ9fNzKq2QHfUEk7MoAA4et/Ebhs76pt5a/lWzr3n3YTpgzNIjY8KWNmN4uEq8JflCFNt1hUNO7iokZJNsCV5iF235y123ZaMV6dSsDqZVd4VsuR6olwclU8DjnL+vh+YiwYofBU9oc30WKrpTNlzexGhXTy8E3AZFEqmF27Zc3s3P+zmjqlyxdJAXM4FXG5zX+5yfvEmbF7sataxq7dzbmA9FZ+shPKO62Xk07RNGwiyA+ZXtzvPyM21nBtYxaDFS2FjL8/bcFLdUoYPL4vVNViyYRdvr6iB+V9AAQYoGkJhFq3bmRBkOz2ykYO3DID5b7X7um8HDScc1ZBwMWcJDAusgfmZ7etnmqWM21wJ89/O6HXfZDEHbuoP84e2O8+JdV/YoYX5CzJadoJhk6HvJCB9MlK2Q24bEruBtZ63uAh+6sHbE9kH+bXbez55fVQ2wBwRMcD/GWPuBIYYYzYAGGM2iEibKjsicjFwMcCoUaM8blLPE03p1TtuueN2m4cj+qPjldZUySz7FXaBO5/dTfRucbq7YnlPfS8gVpbHcw04Zy/gMlPIzegUGXviQqjteMSEqCnAlCLg9XRz5teJwIkCvND+PGOAXxQB8/1pw48BtrUufxQwqwh41Z/15VsZcFDStEMCwGrnXzsCwEiP2vATgPXOvwz8PACscv6149vRPzrYp9IaMAZz7n8AN8PgZjvkdmLww+3d/LBmIXrGbVAomQ4ckF9eByhmGGPWO0GIl0XkMzcvcgIZdwJMmzatiycrdn2dTWfSY2Lm3Gxzo+linup8v0L9HDIV3Wauunjo5vVE692fzF6n+3n23AaFfNnPw00w5Vtw/K/SzvrMJ+u59p+LePbywxnZv7zd+R59bzVfJNVf2HtwBacfuEenm+vGjS8s4fmFG3njp0e3O887K2v4zgMfcM95BzE1ru6NV4763WvMnDCUa07aD4DHP1jLDc8tZs4Pj2RwZft1Rrqre9/+gj//exkvfP8IypzRLywRemcwVHFnXfrAB8yLG3kr6rUfH0W/DjJ+pt3wMuceVsX3jhnb7jwX/+19msMR7vv29Owa99x/w7oP4mpQuOnikflqkrtqZJJtq4dub0inr4n0g8gHTwMUxpj1zv+bReQpYDqwSUSGOdkTw4DNXq5TtRX9LmVbJFMvoDPnZpvrBYO33KZhJ9NAXPaid5bT9cWNaDFYz1hZ3v3R/Tx7gVggruP5fNnPjYFgGZT3TztrqLieHVQSKesP5akDFMYYrnpxHsUBi7Ji+0K1oTmMMbs4/YhJnja9PfXBPuyy6jp8T+HSCDuoJFTc19V7z9R2KmmOW3a4tJYdVNJS0g/Kyzxfn59eXLSR5xduSJhWURrk/528X6yYZZ1Vww4qGTBoGMXB/KQL3n7x8QmPH353NVc/uZCmor5Q3n5QaJupSPisUqkL9qbRRLLfV4KlYFprUKT7GtvDmmbOLpLZunC3wU+jv6Ge6WwdJ/0Y8sOzAIWI9AIsY8xu5++ZwC+BZ4BzgRud///p1TpVaq39xLNNCfa8SQXPzYVbNHjRFYqqFQItfJR77jModPt6RWInV5m9TgPO2ctvTSED4u5HIvrRdjSaQShsMAauOHYslx09BoA/zFnKX15b3umWuuWmy1esSGaaZf31zZUJI0wADKwo4aavTaSogx/X5JFEss3A6wrue/sLPlq9g+F97cBKQ3OYjbsaOW3ScA7eyx5eMRS231dRoOt8/4POlyWUJvJnSF8TQshuhJD4JYBJOYpHe7Lr4mFSd/FIE/zU7sDeyb7bu9ZxyicvMyiGAE85B/0g8JAx5kUReQ/4h4hcgN3z7XQP16lSaP0yZvY6TWfKnpuLZb0w9lbsIkL7FeZMLEDRwQ999KRRT668EdCAc87F7nJ2cGzxrcuefcs1s5d0sGs0OxeD8ReqAcvCGPv95aKfeyTpIi0ll8W9H3p3Ndvqmhk90C6kub2umTeXbeX7x46lamD7xTWTiw5mO3xvV9DcEuGgqv48cOHBALxXvY3T75gX+6zBDgIELelS5xvRAFJHAQpjjKvaLiKdHJLW6bNh4h52xLLIeoXZdvHQY7c3su3ioXWc8suzAIUxZiXQJl/QGFMDHOvVelR64vIAmCwa0dUvY+bcdPHQC2NvxYa81C4eORMLfnZw90fHDvdWtvt59Fikx5vMBVxs8+h+HvB8R3dz/9jm5qMNtdhf1uK47ILoUJMtEUNxDr6oyWnuqURrAHSUDQL27+iRYwdxy5lTAHh+4Qa+++CHNLaEO3xdctHBbNO+u4JQ2CR02yhx/m4KtR6YWyJthxTNt/j9rj1uz5NEJOMLzqQlYGdQOIHGdDUosiySaQfnMuviofXKvJXtzSztlp1fhTe2ktJh6fIg1V3OZxes5+onF8Z+cKPPBfXKzRPZ3gHTH53sBVyMnBK7MNb93BNaJDP32uvK1BKOxC6fW8I+BTqTq+q5eUkHz8UyKOIuaN2OUuIVY9IPOxx7Pk2TkguTlhbZ76sx1HHOfCSS+F1w212tK2puiSRkxESDFckZFEVdbKiqoJU+g8LtDQSBzqW/iP16t4vINmOjbZHMtufnLy/exI/+8XHsmK3nit7qbBcP/RjyQwMUBchtH7dksci1fhszluou56J1u6hrauHbM0bHpgUt4eSJw3LevkIU3U0zLwargbhsRe/oJN9Zrqltik1rdu7Y6vb1htu+8s0tEXY0NMce72wIOa/3r22FKtUJ7VMfreW///FJmwuaoOdFhTLIoHAxX3OqDAoreic7gj2wpL+Mi3R1tzUowkndUkqCdvubQh1nUESMSaj/1HonO80Ku6BQOEJxsPVzi26D6GcNdgCtq2VQRIMq0eBeKm4LE3a6i4eTQZHwsAOWSHajeNBOF4+48/NP1+9kV2ML588YHZs3YAlfnjIi8xWqNrINRmodp/zSAEUBcnOXMxWNFmYv1V3OUDhCWVGAn58yPj+NKnBuq2HvbgyxcWdj7HH0b72znLlU44k/OH8VP3tqUZt5i7UarCfc1qA4++75zP9iW5vpJXmq4N+dpRrFY/nmWgT40cx9WuezLP5rqscXERlkUMSKZMbtG6FwhOq4IUXXbm8ASOgSkOsMiuQ091TEZUZccsHNaAbFyq119O/VOnTlyH7lsVFLwOnikZBBEV1exyvcWR9i8+7GhGn9exUzoKIk9jh5m9vtCrBHB0O/dkZTOxkUa7bVs2zTbgC21TX7EDzrnGgNipYO7p61jqrR8f6SbcAgRqyEnS3dN07oTJHMtpk7kaTvbNASrj1VzxX94LbQdF1TC+t3NMQeb3D+1mui/NAARQFye8dt065GVtXUxx6vdH5g3dyVUYlSbfOWcCQhrVZ5y20Xj2/9dT6frN3ZZnppkf93DgtNqgub1TX1FAWE606dEJsWtIQT99dMIS9YKS6WU1mxpY7po/sze9Lw2LSBFSUM7t3+cH4qtVR1nBpDdsD58mPG+rz2zgUNfv3cEu57u7rN9MrS1tO91gyKXHXxcDOMozNvmvcfjiR28ehdWgTA1U8uTJjv6HGDuPfb0531mzaBDbejQJ3yv2+yZltDwrSKkiAfX3t8LADQ3jZ/6MKDOWzMwI5XkEY4YliwdkdsVA6A+uaWhMBjRXEQEfj9y5/z+5c/j00f3UHR0HyIZnQsXLsz4Xg2bkglfcrtz9F1DQo6WT9EojUoog/TBdCy7OIBCdGPVPtdV8x2KSRuRzb89r3v8W512yB/fKBT5Y4GKAqQ2wu3c+5+l6VOtL31tfplzEaqO8vNYRPrc6m857aLx8ZdjcwYM4Azp4+KTRtYUZJwt025k+rkqiEUpqIkyLcO2TNPrSpsqS6W65pamLeiJqGrzc6GZqaOGqmfgwdai8G2bt+mlnBugpqdrEGxra6ZQZUlXBd3N7Y0GOCIsYNijwPO75JfGRQfrNrO1tqm2OO12xtcFD20/0933mJ31Whd1pjBFfzt/OnsagzFpt3x+gq2xK0/VT0Wt78f2+tCHD1uEF89cCQAr362mSc/XEd9KExvJ0CxaVcjw/qU8rOT9wPsLL0bnlvCtvrmdpfr1guLNnD5Qx+1md67rCj2d5/yIh69+NA2mR77DKns9Pq91Mdp8/X/Wpwwfeb4Idx5zjQggxoU0tkRWMQZxSNaJDPd+rIc1tQkLttKkeHcHI50OESu6hw3RY/BPlecXtWfcw5r/Q3t36uYYX3KfG2fSk0DFAXIbXXqzbsbOW6/IXx7RlVs2sCKktiPiHIv1YVbKByhWKPivnFbDLa+OczYwZWcMnF4h/Op9FKdXNU3hynTbBTfpLr7c9/b1fzupaVt5h3RT0+kvJDqhLYxFMlRdxn3NShir4g7BEaMobI02OHxzssMihVbank/7q7jhp2N/Onfy9rMt9+w3mmW5OznaeaKmMS73SLCkfsMSpjn2U828EVcl4toECL+GtBtpmnEGMYMrohtz+31IZ78cB2NoXAse6OpJcKAiuLYPMs313LDc0s8qW+xvd4OvNx21tTYuZkAk0f1TZhv+uj+nV+Zz8YP680/L5tBbVNLbNqvnl0cq5cDmRT3FQ+GGY3EZVCkW1t2ARG7BkXrwgMp9jv7XFEDFH5xW2i6IRRm78G99Fyxi9AARQFym7pY12R/GWd0MgVRpb7LGdIuHr5yu583hsKUa1aQJ6InVy99upHV2+zuYZ+u30Wpbl/ftAaFWqdtq2umrCjA45ceGpsWtCzGDq7IcesKU/TYMufTTbEaDovX7+pyGRSp0tKTuzKkEgvAdFCs0K3rn/mUN5dtbTP9j1+flHAHf2TfjusxuB0ePXkUj1SKglbCiBaxu/IJw4y6yzS1u5TE1bxIMaRnYyhMaVzRylQZONmKFr6csffAWDeI7kpEmLRHYmBlQEVxwrZ0W8TakvQp+2laQ3yHovTry26YUbsGRdxaU93MatEuHn6SFEH+VBqaw5QV6WVxV6GfRAFKVbG2emsdj76/pvUAa+y0sopi3QW8kOqEpCVsNG3PR6nu5q+qqeOR9xL381DY6B1+jwysKKGiJMg/P17PPz9eH5s+a8KQPLaqsAVSHM/rmlqoLA0yYXiffDWroA2sKKayJMgzn6znmU9a9/Pjx+diP89kFI/419jcXMBHL4Zum7s84aJ39qThCfvUA++sYs32+oTXThjeJ6HOya6GEIfs1Z8/nDE5Nq2sKEC/DLvQxZrspotHmqvJ4oCVMKJFa7eBuDvZLouJm6SMjRLnt6SppXXUkKaWSKxYp70ed8t2IzokZ3GB3uwIWBYtkdZtmVFNiE7FJ5wuHtGASNoirp3JoGh93DqKR9zNrIh28fBTqt/QtdvreWj+6oQsufrmFsqKLUKhEGvXrqWxsbHNslT2SktLGTlyJEVF7gKtenVagKIXbn+bV81rn20G4NH31wCJFd17FQeYMCJd2qVyI3ri87d5q5i7dAsAH6/ZkdBPVHkr+qPz93mreN3Z5u3t5+OH637uhX69ivno2uPbDBOnI0X4J3qi/uD8Vbzl3Kl+54saKkr059svfcuL+TBf+3kWNSjiRZJGq0hl9MBe9C4N8tRH62LTmloibN3dzO/PmATYJ+v/7+lFBC2JBeBbIobyokBCgKIhFGZ43zKG9+1c96LYXc40EYpIxKS9eC0OSuzCHlrvVscHNtobMrnN+pICPtEMipteXEq/cjsIs3JLLVNH9YvNk+2whqlEAy1FBXqHPWhJwqgeJhZM6vh1gqTdV9ItIZMMCpHsupSYpBoU0e/SQ++uZt6KGgDer96uXTx8FP0+PvLeGuavtLujPfHhWloihuKgFft8SosCTBjeh7Vr11JZWUlVVZUOMeoRYww1NTWsXbuW0aNHu3qNnuEUoOF9y9h3aCUrt9SxcovdD3No71JO2H8o18+ekObVKhvD+pay79BKvthal9D3dcbeA/LYqsI2tE/bbT60dymzJgzhF6ftn+fWFa6igIUmpOTO0D6l7DesN9Vb66ne2no3+4T9h+axVYUvf/t5BhkUKQpLurkmnjiyLwuun5Uw7Zjfz6UxLiug0Um7//kp4zn3sCoA/vTvz/nTv5fREo7ERrBoCHlTgyb6jtMXyUzfhaU4kNjFIxooSLyT7S7tOzngs8+QSvYa2IsFcSNDlQQDHBr3Wx/tSuJBAgWhcARL6HJDhnolYElCINBtDQrvMihczk52XUoMifvP4MpSJgzvzeqaelbHjaL3pZxkZ/VMgypL2H9E4jYfWFHCUeMGceNXJ7aZf8mSJRqc8JiIMGDAALZs2eL6NRqgKEC9S4t48QdH5rsZPYpu89yr1G2ueoCKkiAvfP+IfDdD5UonR/EwLjIoUikJBhJqAUS7MMR3LejrZASe8X/zYiNUbdzZ6EkNmsxG8eh4nqKAxa6GEGfcMQ+wU+iBhNE/3BbOswMirY+rBvbi1R8f1eFrYiOEeBChKPQRHooCkpBp4r4GRSeLZDoZFNFvT7qLUcvKsotHUryxrDjAc1fo8TyXyooDPPu9zLa5Bie8l+k21QCFUkoppVSXkEkNirbzRUxrN89MFCcVlox2LYjv1nL42EEcuc8gQnH1HQ6q6s8JEzqfzSOuR/FIH4A5bvwQlmzcRbTnQMAKcMTYgYlZDimGBk8Wq0+Q4Yl1qpEa3IhEDBf//X1Wxd1Z31LbVNDp/wHLaidAkX5YjU4VyRQBE1fzIt3sZFskM319C6VUWxqgUEoppZTqCjIaxaP1Ja0vzzaDwqI5rotHNEARn0ExZnAFfzt/esbLdqP1vaSrQZH+4vWQvQZwyF4dd690MwqU+yEvE4mL4EcqDaEw/16ymX2HVrLXoF4AjB1SwcSRfdO8svsKWhLLcAFiEar0NSjSZzR8tnEXF97/fqy7UtT3jx3D2RnXoEgfPOvotUplIhAIcMABB8QeP/3001RVVWW0jB07dvDQQw/x3e9+1+PW5YYGKJRSSimlugT3GRSpREx26cklQbtbxO7GEADb6+3/c3X3PhagSDOfmy4ebkRHMjnrr+8kBCDOO6yK/3fK+Ni6IP3FcrLYqF4ZXtG2OC/42oEjufCIvTJ7cTcVsCRhuFv3NSjSd/FYunE3a7c3cOqk4VSW2pc7//p4PR+s2s7ZfRNrUKQfxUOy6uIRSRpmVCk3ysrK+Pjjjzu1jB07dnDbbbdlHKAIh8MEAvkvNOZJgEJE9gD+BgwFIsCdxpg/i8j1wEVAtCrGNcaY571Yp1JKKaVUwXGbQeH8bzIcZjSV8uIAby7bygHXz0manpv7WLEuHi5qUGSTIZJs4sg+XHnCvtQ2hWLTnvxwHUs27kpYF7QWvXQrVoMiwwhFNOMimM0H2E0VBYSmlghrttndWjbvtod2TN/lIn22TZOTBXTlCeMY2a8cgHdW1GDHQ6I1KJzlucjYyLqLR8/5OJWPwuEwV111FXPnzqWpqYnLLruMSy65hNraWk477TS2b99OKBTihhtu4LTTTuOqq65ixYoVTJ48meOPP56TTz6Zm2++mWeffRaAyy+/nGnTpnHeeedRVVXF+eefz5w5c7j88ss56KCDuOyyy9iyZQvl5eXcdddd7Lvvvjl9v1798rQAPzLGfCgilcAHIvKy89wfjTE3e7QepZRSSqnCE7sAyrBIpkn8O5sL+B/PHMdBVf0TppUVB5g+un87r/BWa5M7rgnhZhQPN0qCAS49au+Eae9Xb08YUSJ2dz3D1VmxDIrMLmijGRSBHhSgKCsKUlPXzBE3vZYwvTTNyDCWiy4XTSm6KQUsIWz3E7IzKKJFMtMsK9uPxGC0BkU39ot/fcri9bvSz5iB8cN7c92pHY+o2NDQwOTJkwEYPXo0Tz31FHfffTd9+vThvffeo6mpiRkzZjBz5kz22GMPnnrqKXr37s3WrVs55JBDmD17NjfeeCOLFi2KZWLMnTu3w3WWlpby1ltvAXDsscdyxx13MHbsWObPn893v/tdXn311c6/+Qx4EqAwxmwANjh/7xaRJcAIL5atlFJKKVXwMrwiTjVbthkUY4dUMnZIZeYv9Ej0vXSUdGBcpv9nKxiQhJFMWrt4ZJpB0TZAEY4Y3qveFrtojpq8R1/6OKOjhGMBisItipns0qP2ZsLw3gnBhuKgxcw0w26KCHVNYV7/vHXYwpKgxUFV/WMBnlih17h0dTtAEV1bBsOMSieKZGp8QmUoVRePOXPmsGDBAh5//HEAdu7cybJlyxg5ciTXXHMNb7zxBpZlsW7dOjZt2pTxOr/+9a8DUFtby9tvv83pp58ee66pqakT7yY7nufuiUgVMAWYD8wALheRc4D3sbMstqd4zcXAxQCjRo3yuklKKaWUUl1cphkUbbtFRIzplkPkperisasxxOtLt8QuDKMXln4lGFgiCUODRq9jAxluz9ZRPFqnzV26mQvuf7/NvGcdPIpff8Uuhhddd0/q4jGosoSvHjgy49f1Lg2ytbaJc+95N2H6nWcfyExnVJnoULklRckZFKY1g8JlTNBNUc5UjItlq64rXaZDLhlj+Mtf/sKsWbMSpt93331s2bKFDz74gKKiIqqqqmhsbGzz+mAwSCSuIG3yPL162YV5I5EIffv27XQNjM7yNEAhIhXAE8APjDG7ROR24FfY39FfAb8Hzk9+nTHmTuBOgGnTpnV+4GillFJKqe4k2z4FcewuEB61J4dai2S2ngI++M5qfvviZ23mHVBR4ksbggl31+OHvMxsOa3ZIK3L2lbXDMDtZ01lcO9SAK54+CN2NbbE5okWi8y05kVPdNWJ+zF7cmuidn1zC2ff/S5Pf7yO9TsaAHjvi21AYqHX1gyK6Cge7oKCVpZFMk2s3oVSnTNr1ixuv/12jjnmGIqKivj8888ZMWIEO3fuZPDgwRQVFfHaa6+xatUqACorK9m9e3fs9XvuuSeLFy+mqamJxsZGXnnlFQ4//PA26+nduzejR4/mscce4/TTT8cYw4IFC5g0aVLO3it4GKAQkSLs4MSDxpgnAYwxm+Kevwt41qv1KaWUUkoVjswyKFJd1BtjsLphF4FYwc+4i8DdjSEClvDyD4+MTQtaFnv0L/OlDQHLSqxB4dxszLSLR2wUj7hgR7Rrx4F79osFKCpLgwlDu7Y4dzd7UgZFtsqKAxy4Z7/YY2MMI/qW8fzCjTy/cGNs+oi+ZQkBH0vErvWRYQYFkl2RTDCaQaE8ceGFF1JdXc3UqVMxxjBo0CCefvppzjrrLE499VSmTZvG5MmTY8UsBwwYwIwZM9h///058cQT+d3vfscZZ5zBxIkTGTt2LFOmTGl3XQ8++CCXXnopN9xwA6FQiG984xvdM0Ahdj7h3cASY8wf4qYPc+pTAHwFWOTF+pRSSimlCkrrmIdZ86qIZK6lGma0uSVCSdBir0EVOWlDwEq8CM12mFErRRePxlC0u0FrPYSigEUonGJ9GqDImIjw6o+/RH1TOGF6eUlisc2gFa0lkTSKR5rlW5L5sLHg1KDI/GWqh6utrW0zzbIsfvOb3/Cb3/ymzXPz5s1LuZyHHnoo4fFNN93ETTfd1Ga+6urqhMejR4/mxRdfzKDF3vMqg2IGcDawUESinVauAc4UkcnYR4Fq4BKP1qeUUkopVUAyzKCIvqpNDQpPG5Uj0RoUiVkHJcHcZYMELSs2kgZ4O8xoNIMi/v0UBSRWyBFaR/HQDIrslAQDlATTjP7Rbg2Kjre5IBgT6XCeVLQGhVLZ8WoUj7dI/Yv6vBfLV0oppZQqaBmP4tF2vmyHGc23VE1ubokkDBHpt0CbGhT2/5kWHRURROCpj9bx4Wq7LvzqbfVAYoCiOGjRHI4LUIR73jCjuRa0hFA4QnINirQ9PAQ+27ibs++e3+F8h+w1gMuOHhN7bIzplt9HpfLN81E8lFJKKaVUpjIdxSPFErIcZjTfohdx8dkgzeFI2jviXgpYEqsDYbcl+1FDvj5tD5Zu2k1tk10Es3+vYg7be0BCsKMoYLE7rkhmNGMj01FDlHsBS2gMZV6D4uSJw2gIhWOfZyqra+r5fNPuxAAF2sVDqWxogEIppZRSKt8yzaBIehl03xoU0SDAL59dzM1zlgJQU9vMiH7+FMRMJWAJcfGJWAZFNtvzxq9OTDtPSdDinfU7Ofy3rwLEunsEAt3v8+su2o7iYUv3EZ918J6cdfCeHc7zs6cW8uKijQnTjMk8A0cppQEKpZRSSqkuoPMZFN21BsXIfuVcdMRoapzhOKMOHzMwZ22Ipv+HnG4X0YCBXxkp5xxaRe+yooRp5cUBpo7q184rVGcFnFE8wgYsYwg7ESnxIM8haElCDRNIrKmiQN+feAAAIABJREFUlHJPAxRKKaWUUvmWcQ0K52Uk1k3ojndsA5bws5PH57UNxUGLzbubGPuzFxKmB30atvXIfQZx5D6DfFm2Sq04aPHp+l387+YVfD9o+Ort9ugHXtT9CAYsWsKJhTSN0SKZSmVDAxRKKaWUUvkWGyUgswDFqpp6Sp3hKxtD4W5Zg6IrOH/GaIb0Lk24610ctDhu/JA8tkp56YpjxzJheG+mVw+E1fDjmftQVhxk+uj+nV52MCCEkjMo8CY7Q/UsgUCAAw44gJaWFkaPHs3f//53+vbt2+FrbrnlFm6//XamTp3Kgw8+mKOW+kcDFEoppZRSeRfNoHB3x77UKSD5vYc/Spg+aWQfT1vVU1QN7JVQ4FAVnv2G9Wa/Yb3htQGwGi4/eoxnKQ7BpFFgwO7ioRkUKlNlZWV8/PHHAJx77rnceuut/OxnP+vwNbfddhsvvPACo0ePdrWOlpYWgsGuGwbI3fhNSimllFIqtQy7eEwf3Z97zzuIW785NeHfNSft52MjlSoAsf5R3tWICFoW4YhJyMDRUTxUZx166KGsW7cu9vh3v/sdBx10EBMnTuS6664D4Dvf+Q4rV65k9uzZ/PGPf6Suro7zzz+fgw46iClTpvDPf/4TgPvuu4/TTz+dU089lZkzZ7a7vOrqavbbbz8uuugiJkyYwMyZM2loaABg+fLlHHfccUyaNImpU6eyYsWKdpfTGV03dKKUUkop1WNkViQzGLA4et/B/jVHqYIVGwPHsyUGnb5VobChONg6bK5mUHRjL1wFGxd6u8yhB8CJN7qaNRwO88orr3DBBRcAMGfOHJYtW8a7776LMYbZs2fzxhtvcMcdd/Diiy/y2muvMXDgQK655hqOOeYY7rnnHnbs2MH06dM57rjjAJg3bx4LFiygf//+7S5v1KhRLFu2jIcffpi77rqLM844gyeeeIJvfetbnHXWWVx11VV85StfobGxkUgk0u5yjjzyyKw3kwYolFJKKaXyLcMMCqVUlvzIoAjYSenx3TwMplsWrVX51dDQwOTJk6murubAAw/k+OOPB+wAxZw5c5gyZQoAtbW1LFu2rE0gYM6cOTzzzDPcfPPNADQ2NrJ69WoAjj/+ePr379/h8kaNGsXo0aOZPHkyAAceeCDV1dXs3r2bdevW8ZWvfAWA0tLSjNqVCQ1QKKWUUkp1GXpBo5S/vM+gKArYy7zppc8oDtrBilDY6Le5O3OZ6eC1aA2KnTt3csopp3DrrbdyxRVXYIzh6quv5pJLLunw9cYYnnjiCcaNG5cwff78+fTq1SthvlTLq66upqSkJPY4EAjQ0NDQ7rC5btuVCa1BoZRSSimVb5pBoVRuxOIT3gUo9hlSSUVJkIfmr+a+/1Rz33+qKQ5YjBta6dk6VM/Sp08fbrnlFm6++WZCoRCzZs3innvuoba2FoB169axefPmNq+bNWsWf/nLX2IBhY8++qjNPNH53Cwvqnfv3owcOZKnn34agKamJurr6zNejhuaQaGUUkoplXeZ1aBQSmXL+wyKI/cZxKJfzPJseUoBTJkyhUmTJvHII49w9tlns2TJEg499FAAKioqeOCBBxg8OLEW0c9//nN+8IMfMHHiRIwxVFVV8eyzz7ZZ9syZM1MuLxAItNuev//971xyySVce+21FBUV8dhjj7W7nOR2ZULaS9fIl2nTppn3338/381QSimllMqd2i1w8xg46WaYflG+W6NU4Xrz9/DKL+Fnm6CoNN+tUV3IkiVL2G8/HQnJD6m2rYh8YIyZljyvdvFQSimllMq7rnXDSKnCFS2SGclvM5RSKeUkQCEiJ4jIUhFZLiJX5WKdSimllFLdhtagUCo3xPsuHkop7/geoBCRAHArcCIwHjhTRMb7vV6llFJKqe5Da1AolRveDzOqCkdXK39QCDLdprkokjkdWG6MWQkgIo8ApwGLc7Du3NmxBkw4361QSimlVHdUt9X+XzMolPJX9Du2YzUUl+e3LapLKQ1EqNm8kQH9+yH5OhaLBYGi/KzbB8YYampqKC11X+8lFwGKEcCauMdrgYNzsN7cuucE2LU2361QSimlVHcW1KJ9SvkqWGb/f/uh+W2H6nJGFvdl7dQr2dJnL/KWzVbcC8oH5GfdPiktLWXkyJGu589FgCLVp5uQ5yEiFwMXA4waNSoHTfLBrF9DqD7frVBKKaVUdxUohnEn5bsVShW2yWdCWV+ItOS7JaqLKQJGA7Atf43o1xv27NkjieQiQLEW2CPu8UhgffwMxpg7gTvBHmY0B23y3oQv57sFSimllFJKqY6UVMLEM/LdCqVUO3Ixisd7wFgRGS0ixcA3gGdysF6llFJKKaWUUkp1E75nUBhjWkTkcuAlIADcY4z51O/1KqWUUkoppZRSqvuQrjaUiohsAVblux1ZGghszXcjlPKZ7ueqJ9D9XPUEup+rnkD3c9UTdMf9fE9jzKDkiV0uQNGdicj7xphp+W6HUn7S/Vz1BLqfq55A93PVE+h+rnqCQtrPc1GDQimllFJKKaWUUqpDGqBQSimllFJKKaVU3mmAwlt35rsBSuWA7ueqJ9D9XPUEup+rnkD3c9UTFMx+rjUolFJKKaWUUkoplXeaQaGUUkoppZRSSqm80wCFUkoppZRSSiml8k4DFB4QkRNEZKmILBeRq/LdHqUyISJ7iMhrIrJERD4Vke870/uLyMsissz5v58zXUTkFmd/XyAiU+OWda4z/zIROTdf70mp9ohIQEQ+EpFnncejRWS+s88+KiLFzvQS5/Fy5/mquGVc7UxfKiKz8vNOlEpNRPqKyOMi8plzXD9Uj+eq0IjID51zlkUi8rCIlOrxXHV3InKPiGwWkUVx0zw7fovIgSKy0HnNLSIiuX2H7miAopNEJADcCpwIjAfOFJHx+W2VUhlpAX5kjNkPOAS4zNmHrwJeMcaMBV5xHoO9r491/l0M3A72ARS4DjgYmA5cFz2IKtWFfB9YEvf4t8Afnf18O3CBM/0CYLsxZgzwR2c+nO/GN4AJwAnAbc7vgFJdxZ+BF40x+wKTsPd3PZ6rgiEiI4ArgGnGmP2BAPZxWY/nqru7D3tfjOfl8ft2Z97o65LX1SVogKLzpgPLjTErjTHNwCPAaXluk1KuGWM2GGM+dP7ejX0yOwJ7P77fme1+4MvO36cBfzO2d4C+IjIMmAW8bIzZZozZDrxMFz3wqZ5JREYCJwN/dR4LcAzwuDNL8n4e3f8fB4515j8NeMQY02SM+QJYjv07oFTeiUhv4EjgbgBjTLMxZgd6PFeFJwiUiUgQKAc2oMdz1c0ZY94AtiVN9uT47TzX2xgzz9ijZPwtblldigYoOm8EsCbu8VpnmlLdjpP2OAWYDwwxxmwAO4gBDHZma2+f1++C6ur+BPwUiDiPBwA7jDEtzuP4fTa2PzvP73Tm1/1cdWV7AVuAe52uTH8VkV7o8VwVEGPMOuBmYDV2YGIn8AF6PFeFyavj9wjn7+TpXY4GKDovVd8dHbtVdTsiUgE8AfzAGLOro1lTTDMdTFcq70TkFGCzMeaD+MkpZjVpntP9XHVlQWAqcLsxZgpQR2s6cCq6n6tux0lXPw0YDQwHemGnuyfT47kqZJnu191mf9cAReetBfaIezwSWJ+ntiiVFREpwg5OPGiMedKZvMlJB8P5f7Mzvb19Xr8LqiubAcwWkWrsrnjHYGdU9HVShCFxn43tz87zfbDTLnU/V13ZWmCtMWa+8/hx7ICFHs9VITkO+MIYs8UYEwKeBA5Dj+eqMHl1/F7r/J08vcvRAEXnvQeMdSoHF2MX23kmz21SyjWnH+bdwBJjzB/innoGiFb+PRf4Z9z0c5zqwYcAO52Us5eAmSLSz7m7MdOZplTeGWOuNsaMNMZUYR+nXzXGnAW8BnzNmS15P4/u/19z5jfO9G84VeFHYxeZejdHb0OpDhljNgJrRGScM+lYYDF6PFeFZTVwiIiUO+cw0f1cj+eqEHly/Hae2y0ihzjfm3PiltWlBNPPojpijGkRkcuxd4YAcI8x5tM8N0upTMwAzgYWisjHzrRrgBuBf4jIBdgnA6c7zz0PnIRdTKoe+DaAMWabiPwKO2gH8EtjTHKhH6W6miuBR0TkBuAjnOKCzv9/F5Hl2HfavgFgjPlURP6BfTLcAlxmjAnnvtlKtet7wIPOTZOV2MdoCz2eqwJhjJkvIo8DH2Ifhz8C7gSeQ4/nqhsTkYeBo4CBIrIWezQOL8/HL8UeKaQMeMH51+WIHUBUSimllFJKKaWUyh/t4qGUUkqpLkdE5orIhc7fZ4nInLjnZojIMhGpFZGMh0kTkTtE5OdetlcppZRSnacZFEoppVQBEJG5wCRgqDGmKc/N6TTn/TxgjPlriudeAZ4xxvzZxXLOAy40xhzueSOVUkop5SnNoFBKKaW6ORGpAo7AHjJstk/r6Ep1q/YEtN6TUkopVWA0QKGUUkp1f+cA72AXv4pW+8ap1r1RRAJx074iIgucvy0RuUpEVohIjYj8Q0T6O89ViYgRkQtEZDXwqjP9MWeZO0XkDRGZELfsASLyLxHZJSLvicgNIvJW3PP7isjLIrJNRJaKyBlu3pyInBddjoisAPYC/uV08SgRkT4icreIbBCRdc56AyKyH3AHcKgz7w5nGfc5hfQQkaNEZK2I/FRENjvL+LKInCQinzttvSauLe1uM6WUUkp1jgYolFJKqe7vHOBB598sERkCYIx5B6gDjomb95vAQ87fVwBfBr4EDAe2A7cmLftLwH7ALOfxC9jD8Q3GrqL/YNy8tzrrG4odKIkPlvQCXnbWPRg4E7gtPsDhhjFmb+xK5qcaYyqc7iz3Y1fhHwNMwR5W7UJjzBLgO8A8Z96+7Sx2KFAKjACuBf4/e/cdJ1dZ9n/8c81sTe+QygYIhAAhgdAEUUAICBILD6KoYAMU7I8/0UcBFXxQeQRFBFFQRAQEVCKgFGnSSSAQQkvAlE0gPZu2Zcr1++OcmZ3ZbJnJzuzM7n7fr1demXOfds/smdk51173df8G+ARwEEFmyoVmtnu4bS6vmYiIiOwEBShERER6MTM7kmDIw5/dfT7wJkEQIuUWgmAAZjaYYFqyW8J15wD/4+714Y3+xcCpbYZzXOzu29y9EcDdb3D3LRnbHxBmMESBjwAXuft2d3+FIHCQcjKw1N1/5+5xd38euBM4tZvPfxfgROCrYT/XAFcQTiWYoxhwqbvHgFuBUcDPw+e5iGA4yfRw21xeMxEREdkJ+mUqIiLSu50J3O/u68LlP4VtV2QsP2lmXwA+DDzv7svCdbsBfzWzZMbxEsAuGcsrUg/CIMSlBPOwjwZS+40imFe9InP7No93Aw5NDbMIVQA35f5U27UbUAm8bWaptkibc3dlvbsnwseN4f+rM9Y3AoMyztfRa7Yyj3OKiIhIGwpQiIiI9FJmVgucBkTN7J2wuRoYZmYHuPuL7v6KmS0jyDLIHN4BwU38Z9z9iXaOXRc+zJzu6+PAHOB9wFJgKMEQBwPWEgyzmAC8EW4/sc25HnX343bqyXZsBdAMjHL3eDvrCz1dWYevmYiIiHSPhniIiIj0Xh8k+Ov9NGBG+G8f4N8EdSlS/kRQO+Eo4PaM9muBS81sNwAzG21mczo532CCYMB6YADwo9SKMAPhL8DFZjbAzKa26cPdwF5m9kkzqwz/HRwWstxp7v42cD/wf2Y2JCxiuYeZvSfcZDUwwcyqunOeDPm+ZiIiIpIjBShERER6rzOB37n7cnd/J/UP+CVwRkZdhFuA9wIPZQwFAfg5MBe438y2EMwEcmgn5/sDsIxgKMMr4faZzifIqniHYOjGLQQBDdx9C0HxytOBVeE2PybI+OiuTwFVYZ82AncAY8N1DxHUkHjHzNa1v3te8n3NREREJEfmXujMRxEREREwsx8Du7r7mV1uLCIiIv2eMihERESkIMxsqplNt8AhwGeBv5a6XyIiItI7qEimiIiIFMpggmEd44A1wP8Bd5W0RyIiItJraIiHiIiIiIiIiJSchniIiIiIiIiISMmV3RCPUaNGeV1dXam7ISIiIiIiIiJFMH/+/HXuPrpte5cBCjO7ATgZWOPu+7Wz3gim3Ho/sB04y92fD9edCXw33PQSd7+xq/PV1dUxb968rjYTERERERERkV7IzJa1157LEI/fAyd0sv5EYEr472zgmvCEI4CLCOYGPwS4yMyG595lEREREREREekvusygcPfHzKyuk03mAH/woNrm02Y2zMzGAu8FHnD3DQBm9gBBoOOW7nZaREREpM9JxKB5S6l7IdL3VQ+BaNmNdBcRClODYjywImO5PmzrqF1ERERE2vrtsfD2i6XuhUjft9uR8Ol7St0LEWlHIQIU1k6bd9K+4wHMziYYHsKkSZMK0CURERGRXmbTCph0OEz7YKl7ItJ3vXQrNKzoejsRKYlCBCjqgYkZyxOAVWH7e9u0P9LeAdz9OuA6gFmzZrUbxBARERHp2xx22Q8OO7fUHRHpu1a9AMufLHUvRKQDuRTJ7Mpc4FMWOAxocPe3gfuA481seFgc8/iwTUREREREREQkSy7TjN5CkAkxyszqCWbmqARw92uBewmmGF1CMM3op8N1G8zsh8Bz4aF+kCqYKSIiIiJtuIO1N0JWRArGrINB5yJSDnKZxeNjXax34LwO1t0A3LBzXRMRERERERGR/qIQQzxEREREpNs6qjEuIoVjKIVCpHxpAmARERERESmabc1xLr33VbY2xbPa37//WE7Yb9cS9UpEypECFCIiIiLlwFENCumTFq5s4E/PLGfXITXUVkUBWLWpkXVbm3s+QGEW1HsRkbKkAIWIiIiIiBRNYywBwDWfOJCZk4YDcNqvnyKRVKBARLKpBoWIiIhIWVANCumbmlqCAEVNZTTdFjUrUYBCNShEypkCFCIiIiIiUjSpDIrazABFxEhoqIWItKEhHiIiIiLlwF01KKTsJZO+Q/5BxMAyrt2bnlrKc0s3ppeXbdgOtMmgiBjJUmRQGKpBIVLGFKAQEREREenD/u/+1/n7i6uy2obWVvKHzx7K0NrKnI+zZksTx17+KFuas2fj+OCMcVx5+sz08hUPLiaWSDJqUHW67fDdRzJyUFV6WRkUItIeBShEREREyoJqUEhxPPDKalriSQ6ePAKANZubeeqt9by1dmu6aGUu6jc2sqU5zodnjqdu1EAA7lv0Dk++uZ6HXlsNBMkJm7a3cP7Re/L14/fu8FgRMxLJbjypnaYaFCLlTAEKERERESl7C+sbeHlVA0Zwc2sW/B+JpJYNAw6YMIxJIweUurt5cXcuvefV9FCIlBkTh3He0Xt2+/hbmuIcvsco/u+0AwCYt3QDp177FFvbZEJ0JVXs8rSDJ3LY7iPT7T974A0+8/t5WdtOGN75zyAaoTRDPESkrClAISIiIlIOVIOiU1//8wIWr9na5XaHTh7Bbecc3gM9KpxtLQl++/h/2GVINSMGBsMiVm9u4uk31+cdoFi2fhtXP7yEeKL15n/tlmYG17R+7R8UPv7DU8v49+J16fZD6kbwvmm7dHjs9opdfuG9e3D03mNIZgzXqIgaU3cd0mk/oxEjnixBCoWZalCIlDEFKERERESk7G3cHuODM8bxrROnkvSwWKOD48GyO9/968tsboqVuqt5awpv/M87ek8+dXgdAD+691X+8NTSvI/1wCur+fO8esYPqyUSztc3dlgNh+/RmvEwflgt44fV8vjidTweBihaEkkefGV1VoBiwYpNvFS/Kb28aOVmAGqrWgMUldEI+08Ymnc/o5EISqAQkbYUoBAREREpC7pbS3F36jc2ksi4g93SFGPMkBrGDq3tcL9hAypZt7W5J7pYUM3xIJOguiKSbquMWlYWRK5Sr9kDXz+KAVXtf9UfXFPJExcck9X2vb+9zN0vZRfS/PptC3hr3bastprKCGMGV9NdUSPr59tz8qtBEUskeXtTU1bbgOpoVgFQESkcBShEREREpKz88ZnlfO9vL+/QPmJgVTtbt6qqiNBSmsqL3dIcZlBkTsNZEYkQTzrunjWFZ1fi4U1/NJLfcKFhAyrZuD3Ge376cLpt+YbtnPWuOr50TOswk9qqaIeBj3xEIlaiAEV+vv7nF3eYAQXgwa8fxZ5jBpegRyJ9mwIUIiIiIuWgD9ageGXVZi7752skMmoNRMw47+g9s4ostrW6oQkz+FlY1DG13zFTx3R6vqpohJZ4LwxQtJNBURU+jiWcqorcr4vUTX9FJNLFltk+cMA4Vm5qzCpcedBuw/n4oZMYWYRsgahZVt2KHpNnDYrVDU3sOWYQX3jPHgAsXrOVax99kw3bet9QIpHeIKcAhZmdAPwciAK/dffL2qy/Ajg6XBwAjHH3YeG6BLAwXLfc3U8pRMdFRERE+p6+FaB4+PU1PPbGWg7abXj6mS1c2cCazYs4qK51esuhtZV847i9qIgGN9UtiSTVFRE+NHNCXuerqogQ6wUZFFf9azHXPfZWejkR3jBnZ1AEr1gskUwHK3KRyqDIM4GCvXYZzM9Om5HfTt0QLVkGRX4vTEsiybhhtXzkoOBafPLNdVz76JulCa6I9ANdBijMLApcDRwH1APPmdlcd38ltY27fy1j+y8BMzMO0ejuPfdpJyIiItIr9b0bns1NMaqiEe78wrvSbRfPXcTdL73N/YtWA9AST7C5Kc7J08ey77ihYVuSqmh+GQAQBCi2Nse5fd6KdFtlNMJx03ZhYHX5JA4vWLGJ6soIpxwwPt02oCrKwXUj0suV0VQGRX4Bl0QySTRieQ0LKYVIxNi4vYUzfvt0uq0yGuHCk6ex++hBRT577u+14FpsfS0j4euqAIVIceTySX0IsMTd3wIws1uBOcArHWz/MeCiwnRPREREpB8p85vKziSTzg/veYXVm1sLCi5atZkhtdlfNy8+ZV8uPmXf9PK/F6/lk9c/y/aWRLqtJZGkqiJKvsYNraUpluSbd7yU1X7ph/bjjEN3y/t4xRJLOhOGD+DCD0zrcJvK8KZ4W0uC2qrW16a6i9clkcy//kQpHLfPLixevYXmWBCAiSWSvFjfwAn7bihugCLP91hLmwyWVIBC8QmR4sglQDEeWJGxXA8c2t6GZrYbMBl4KKO5xszmAXHgMnf/Wzv7nQ2cDTBp0qTcei4iIiLSl/TyO553NjfxuyeWssuQaobUVAJBTYijp4/rdL/acFhDVoAinsyqx5Crz717Mu+fPjZdR6ExluD4Kx5je3Oiiz17VjyRTAcgOlIdvi5HXPZQVvt3T9qHz7179w73SyST6eEh5ezoqWM4OqOmyNotzRx86YPEemLYRx7vtVgiO5sn9dL28rerSNnKJUDR3idcR2/J04E73D3zt8Akd19lZrsDD5nZQnd/M+tg7tcB1wHMmjVLb3cRERHpp8r/xrIj25rjAHz3pGl84IDOgxKZaquCG/GXVzYwqDp4vHpzU151F1LMjPHDWqchbY4HX0nLbWaPeMK7zHKYve+uNGyPZfX9Vw8v4c212zrZK6hB0RsyKNpKBWziRf9Zdf7aNLYkiGcUdW2OJdPDbYD00BkN8RApjlwCFPXAxIzlCcCOc+0ETgfOy2xw91Xh/2+Z2SME9Sne3HFXERERkf6sd9/wbA0DFIPyrPUwcmAwQ8RP73s9q33GxGHd7lNlZOfqOBRbLJlkUGXnr9PQ2ko+f1R2psSfnlne5XNJJL1XZFC0lSqQGk90/33QsD3Gb/79Fk2x7MyZOTPGsz/Q0Xvt34vX8qkbnt0hO2JAVeuwmtQIEQUoRIojl98gzwFTzGwysJIgCPHxthuZ2d7AcOCpjLbhwHZ3bzazUcARwE8K0XERERGRPqcX1aD44d2v8Menl6WXUzdsg2ryC1DsOrSGu790JBu2tWS1T9ml+3UIIhEjGrGyC1DEEzsXRKiMWpfTqAYZFPlnn5RaetaSZPd/Vo8vWccvH15CbWU0PSRjeyzBuq3NXDm449d9+YbtuMNXjp3C4IzrePa+u6YfqwaFSHF1+RvE3eNmdj5wH8E0oze4+yIz+wEwz93nhpt+DLjVPevtug/wazNLAhGCGhQdFdcUERER6b+KcMdz6jVP8vrqLVlt08YO4bZzDu/2sV+q38SoQdWcfMDYdNvg6goOmJB/5sN+44d2uz8dqYxaQf4qX0ixRDKdMZCP9qZRnb9sI2u3NKeXl6/f3iszKCoLmEGRypy476tHMWnkAABOuPKx1jonHbzXUsGfs95Vx/CBVe1uE1EGhUhR5RTidvd7gXvbtF3YZvnidvZ7EsJMKhERERHphFPIGhTuzrxlG5kxcRgzJwVBg+eXb+LZpRtw925PQ9kcTzJll0F8+8R9CtHdoqmMRsqvBkXSuyyS2Z7KaHaAYuO2Fk699skd7ren7jq4u13sccHUqNk1KOKJJP96bQ2NLdlDNXYfPZDhA1oDCNWVEcYMrkkvp37emXVMaquiNMYSBO+xzgMUndU/UQaFSHGVz4TQIiIiIlIwiXA2hGOnjuFLx04B4Kp/LebFFZt2+gY5087OtNHTKqMRmmLJdMFMgIpIpMcKSbo7r2dMpwmwvTlOxU4Mw6iqiNCcMcRj/bZm3OGCE6dy1JTR6fbMQqG9SWUkkjWLx5Nvruecm+bntO+fPn8o79pjFADNYQZFVoCiMrpDoKOtWDuBjbZUg0KkuBSgEBERESkH7gWtQZEIb6AiGTfileGNV0s8e2aCndEST1JVEe16wxKrqYhwy7PLueXZ5em2UYOqefxbR1NTWfz+P/rGWs763XM7tA/Os1YHBMGWN1Zv4Xt/exkIAhQA+4wdwrRxQ7rX0TJQETXWbG7mjXBY0kv1mwC45fOHsevQIENi0/YWlqzZmt6noTHGJfe8Sv2GRtgjaGs3g6IyyvPLNzJ309sc3RLjoz//N7VVUX7xsZnpgE4qg6KzITJGahbGaGkzAAAgAElEQVSPQjxjEWlLAQoRERGRPiiVQZF5s1UVLdysFs3xZPp45eyyj0xn4cqG9PKCFZt44JXVbGmK90iAIlUf4ienTmfUoNZhCQdNGpH3sQ6dPIIla7Zyz8K3020TR9SyVwEKipaDgdUV3Pl8PXc+X59uq4gYMyYOS09HCwOZOWl4en3D9iBAsSWcRQYyhmpkXJ+nHTwRM2Pg+goiMWP4wEqeWLKe+cs2pgMUzYkkVRWRToc/pRJfXBkUIkWhAIWIiIhIWShsDYpUgCJzKENVRgZFPtZvbeamp5dl1z/Y3kJ1ZfkHKI7aazRH7dU6/OGWZ5fzwCur069PsaUKNh4zdQyjBlV361jfOH5vvnH83oXoVlm68dOH8J9127Laxg6ryQhO7GhgdbDuhsf/w71h4GbVpkaArGFMs/fdNZiN495d4KUIV3/8QGb84AG+85eF/ODvQQ3/rc0xqrsIuqVqUCiDQqQ4FKAQERER6YM6C1A0dzVVZSKZVVjyL8+v5MoHFweFDMM2s2BoQW+Tej16aurRxjBAUdsD2Rq93bRx+Q9VqYhG+MwRk9PDQgD2GD2IE/cb22kmxLABVVxw4lSWb9ie1b7fuM5nlEm9nbyDQpsi0j0KUIiIiIiUg0LXoGgnQJEa0nD8FY+ROcz+a8ftxefevTsQZFcc+eOHWJMxdSXAwKooL39/drdn/yi11JCXncmgWLO5iaZYdmBj3LCarClDH3l9DUszsgCefmsDQI8MJ+mvLvzAtNw3NktP4nHue/bI+1ymDAqRolKAQkRERKQPai9A8Z4poznv6D2yZpT424JVPL5kHR87ZBIAbzc0smZLMydNH8v08a1/Td5718G9PjgBpIMJ8TzvMOcv28BHrnlqh/aPzprIj0+dHhwzkeRzN87b4dgThtf22KwhUlyt04wqQiFSDApQiIiIiJSFAtegCG+gohlBhaEDKvnm7KlZ2725disPv76WfS+6L6v91IMmcPTeYwrWn3KRyqCIJzsf4vGJ3z7DC8s3ppdT019e+qH9qAlnL/nNv9/i8SXruPLBNwBobEkQTzrfPWkfPnLghPS+A6qVPVE+DLoxPCP1btI0oyLFoQCFiIiISB8UT+yYQdGeC07ch8P3GJnVVltVwbvatPUVqdcj9fp05LmlG5i662AOrmudbWPSyAGccehu6eX6jY1c8eAbXPng4nRbVUWEWXUjGD6wCul70kUye6aEiUi/owCFiIiISLko4BCK1F94uwpQ7L3rYPbedXDBzlvuUjM7dFaDIpl0muNJjp46hq++b68Ot/vK+6bw5WP33KG9LwyF6bPMgnov3dgdupODISKdUYBCREREpA+Kt1ODQiAaSdWg6PhP4E3x3GfeUDCif4lEUkUyFaIQKQYFKERERERKLX2zs/M3uys3NfLvN9aml1OzcChAkS1Vg6J+YyPDB2zFCQoeJj246XSHTdtjANRWqXZE39O9GhTpaUYVoBApCgUoRERERPqAKx94g9vn1+/QvsuQmhL0pnwNCIMOX7l1QZfbDq2tLHZ3pJcxNM2oSDEpQCEiIiJSaqm/xnZjuEBzPMmE4bXcfu7h6bbqiigjVKwxywEThvHrTx7E9pZ4uuBhxIyIGWapv5Ab1ZURjthjVEn7KkXQzRoUqQwKDfEQKY6cAhRmdgLwcyAK/NbdL2uz/izgp8DKsOmX7v7bcN2ZwHfD9kvc/cYC9FtEREREMiTdqYpGGDu0ttRdKWuRiDF7311L3Q3ppVI1R5RBIVIcXQYozCwKXA0cB9QDz5nZXHd/pc2mt7n7+W32HQFcBMwiGOw1P9x3IyIiIiIS6n4NCu/e7iL9yM5HF1I1XX7yj9f45UOt08sesecofnbajG73TKS/yyWD4hBgibu/BWBmtwJzgLYBivbMBh5w9w3hvg8AJwC37Fx3RURERKRdTnrIgogUx/ABlXz1fVN4p6Ep3fbsfzbw5JL1JeyVSN+RS4BiPLAiY7keOLSd7T5iZkcBbwBfc/cVHew7vu2OZnY2cDbApEmTcuu5iIiISF9RgBoUSXclUIh0pZs1KMyMr75vr6y2b93xEo+8saa7PRMRIJLDNu39rmv7rv47UOfu04EHgVSdiVz2xd2vc/dZ7j5r9OjROXRJRERERDK5dyu+ISI7qZsxDxHJkEuAoh6YmLE8AViVuYG7r3f35nDxN8BBue4rIiIiIoWoQeEa4iHSJaM7NSjaPaJZgY8o0n/lEqB4DphiZpPNrAo4HZibuYGZjc1YPAV4NXx8H3C8mQ03s+HA8WGbiIiIiBSQZhUQKQ1lUIgUTpc1KNw9bmbnEwQWosAN7r7IzH4AzHP3ucCXzewUIA5sAM4K991gZj8kCHIA/CBVMFNEREREQukaFN07hCmDQqRzRYgmGOCKUIgURC5FMnH3e4F727RdmPH428C3O9j3BuCGbvRRRERERLrkRBSfEOlxZoUeNCLSf+UyxENEREREiqr7NSiSKpIpkoMi1KDAlEEhUiAKUIiIiIj0Ae6OaaJRkR6nDAqRwlGAQkRERKTU0jUoujOLBxriIdKVItSgiJipSKZIgShAISIiItIHJB2N8RApEQ3xECkMBShERERESq77NSiCIR4i0rki1KDQNKMiBaMAhYiIiEgfoQQKkZ5nmGpQiBSIAhQiIiIipVaIGhQejIUXkU4UId0hOKRCFCKFUFHqDoiIiIhI9yU1xEOkJCKaxaNPiMVi1NfX09TUVOqu9Ck1NTVMmDCBysrKnLZXgEJERESk5ApRg0JDPES6VowaFJrFoy+or69n8ODB1NXVYfowLQh3Z/369dTX1zN58uSc9tEQDxEREZE+wHF9qRYpASPIYJLerampiZEjR+pztIDMjJEjR+aVlaIAhYiIiEipFaAGRdK7k38h0k8UY8oNDfHoMxScKLx8X1MFKERERETKRje+HGuIh0gOCv8mMUUoRApGAQoRERGRkuv+3Y3jmsVDJCdFmMVDEQopgGg0yowZM9L/li5dmvcxNm3axK9+9avCd66HqEimiIiISLno7hAPxSdEOleEN0mkCKNGpH+qra1lwYIF3TpGKkDxxS9+Ma/9EokE0Wi0W+cuhJwCFGZ2AvBzIAr81t0va7P+68DngDiwFviMuy8L1yWAheGmy939lAL1XURERKRvKMDdjbsHqeYi0qMMU5HMPub7f1/EK6s2F/SY08YN4aIP7Jv3folEggsuuIBHHnmE5uZmzjvvPM455xy2bt3KnDlz2LhxI7FYjEsuuYQ5c+ZwwQUX8OabbzJjxgyOO+44TjrpJC6//HLuvvtuAM4//3xmzZrFWWedRV1dHZ/5zGe4//77Of/88zn44IM577zzWLt2LQMGDOA3v/kNU6dOLejr0JUuAxRmFgWuBo4D6oHnzGyuu7+SsdkLwCx3325mXwB+Anw0XNfo7jMK3G8RERGRPqgb04yiDAqRrhWhBoVKUEiBNDY2MmNGcOs8efJk/vrXv3L99dczdOhQnnvuOZqbmzniiCM4/vjjmThxIn/9618ZMmQI69at47DDDuOUU07hsssu4+WXX05nYjzyyCOdnrOmpobHH38cgGOPPZZrr72WKVOm8Mwzz/DFL36Rhx56qKjPua1cMigOAZa4+1sAZnYrMAdIByjc/eGM7Z8GPlHIToqIiIj0bd2/vQmGeChCIZITL9yYKENDPPqancl0KIT2hnjcf//9vPTSS9xxxx0ANDQ0sHjxYiZMmMB3vvMdHnvsMSKRCCtXrmT16tV5n/OjHw3yCrZu3cqTTz7Jf/3Xf6XXNTc3d+PZ7JxcAhTjgRUZy/XAoZ1s/1ngHxnLNWY2j2D4x2Xu/re2O5jZ2cDZAJMmTcqhSyIiIiJ9UHdumNw1wEOkK8UI4ikwKEXk7lx11VXMnj07q/33v/89a9euZf78+VRWVlJXV0dTU9MO+1dUVJBMJtPLbbcZOHAgAMlkkmHDhnW7BkZ35TKLR3vvuHZjhGb2CWAW8NOM5knuPgv4OHClme2xw8Hcr3P3We4+a/To0Tl0SURERKQPKUQNCoJifSKSgwKmPKTed640CimC2bNnc8011xCLxQB444032LZtGw0NDYwZM4bKykoefvhhli1bBsDgwYPZsmVLev/ddtuNV155hebmZhoaGvjXv/7V7nmGDBnC5MmTuf3224Hgen7xxReL/Ox2lEuAoh6YmLE8AVjVdiMzex/wP8Ap7p7OBXH3VeH/bwGPADO70V8RERGRPih1Y9OdWTxcQzxEupR6jxQumJAqTqv4hBTD5z73OaZNm8aBBx7IfvvtxznnnEM8HueMM85g3rx5zJo1i5tvvjldzHLkyJEcccQR7Lfffnzzm99k4sSJnHbaaUyfPp0zzjiDmTM7vh2/+eabuf766znggAPYd999ueuuu3rqaablMsTjOWCKmU0GVgKnE2RDpJnZTODXwAnuviajfTiw3d2bzWwUcARBAU0RERERKSD3YpT/E5GupOKCSXciehdKN2zdunWHtkgkwo9+9CN+9KMf7bDuqaeeavc4f/rTn7KWf/KTn/CTn+x4G7506dKs5cmTJ/PPf/4zjx4XXpcBCnePm9n5wH0E04ze4O6LzOwHwDx3n0swpGMQcHsYuU9NJ7oP8GszSxJka1zWZvYPEREREUn96bUbGRCuIpkiXbP0eIzCHTL8XwkUIt2XSwYF7n4vcG+btgszHr+vg/2eBPbvTgdFREREpGvBEI9S90Kk/ylCzEOk38qlBoWIiIiI9IjuRRgUnxDpShFqUIQRClcOhUi35ZRBISIiIiLlpSmWIJ5svSFKJJ2IUihEepwyKEQKRwEKERERkVLLswbFolUNzPnlE1kBCoC9dx1c6J6J9C3pBArN4iFSjhSgEBEREellVm1qIp50PnPEZMYOrUm3Hz11dAl7JdI/pTMoNMRDpNsUoBAREREpudSNTW4ZFIkwc+LUgyYwbdyQIvVJpC8qQg2K1BEVn5Buikaj7L///sTjcSZPnsxNN93EsGHDOt3nF7/4Bddccw0HHnggN998cw/1tHhUJFNERESkl0mGd0LRiGpOiJRaawaFSPfU1tayYMECXn75ZUaMGMHVV1/d5T6/+tWvuPfee3MOTsTj8e52s6iUQSEiIiJSannWoEjVnlCAQiRPRahomSpO60qh6Dv+cQG8s7Cwx9x1fzjxspw3P/zww3nppZfSyz/96U/585//THNzMx/60If4/ve/z7nnnstbb73FKaecwmc+8xnOPvtsvvSlL7Fw4ULi8TgXX3wxc+bM4fe//z333HMPTU1NbNu2jYceeqjd4y1dupQTTzyRI488kieffJLx48dz1113UVtby5IlSzj33HNZu3Yt0WiU22+/nT322KPd43SHMihEREREepmkAhQiZUfhCSmURCLBv/71L0455RQA7r//fhYvXsyzzz7LggULmD9/Po899hjXXnst48aN4+GHH+ZrX/sal156KccccwzPPfccDz/8MN/85jfZtm0bAE899RQ33ngjDz30UIfHA1i8eDHnnXceixYtYtiwYdx5550AnHHGGZx33nm8+OKLPPnkk4wdO7bT4+wsZVCIiIiIlFx+tzbpDApNKyqSpyLUoAjfh/OXbmRgdXB7FTHYf8JQqiuiBTuP9KA8Mh0KqbGxkRkzZrB06VIOOuggjjvuOCAIUNx///3MnDkTgK1bt7J48WKOOuqorP3vv/9+5s6dy+WXXw5AU1MTy5cvB+C4445jxIgRnR5v0qRJTJ48mRkzZgBw0EEHsXTpUrZs2cLKlSv50Ic+BEBNTU1e/cqHAhQiIiIivUw6gyKqAIVIqQ0OgxKf/v1zWe3fOG4vvnTslFJ0SXqpVA2KhoYGTj75ZK6++mq+/OUv4+58+9vf5pxzzul0f3fnzjvvZO+9985qf+aZZxg4cGDWdu0db+nSpVRXV6eXo9EojY2NHQ5fyrVf+dAQDxEREZFSy7MGRcKVQSGyU4pQg+JDB47ntrMP4+bPHZr+V1sZZcP2loKdQ/qXoUOH8otf/ILLL7+cWCzG7NmzueGGG9i6dSsAK1euZM2aNTvsN3v2bK666qp0QOGFF15o9/i5Hi9lyJAhTJgwgb/97W8ANDc3s3379ryPkwtlUIiIiIj0MiqSKVI+KqMRDt19ZFZbbVWUWCJZoh5JXzBz5kwOOOAAbr31Vj75yU/y6quvcvjhhwMwaNAg/vjHPzJmzJisfb73ve/x1a9+lenTp+Pu1NXVcffdd+9w7OOPP77d40WjHQ9JuummmzjnnHO48MILqays5Pbbb+/wOG37lQ8rt2qzs2bN8nnz5pW6GyIiIiI9Z8s78H97w0k/g4M/2+XmNz65lIvmLuL57x3HiIFVPdBBkT7i8SvhwYvgO6ugamDX2++kw370L47aaxQ/OfWAop1DCuvVV19ln332KXU3+qT2Xlszm+/us9puqyEeIiIiIr2MMihEyltVRYRYorz+ECzSG+QUoDCzE8zsdTNbYmYXtLO+2sxuC9c/Y2Z1Geu+Hba/bmazC9d1ERERkT4izxoUmmZUZCcVoQZFeyqjRktcQzxE8tVlDQoziwJXA8cB9cBzZjbX3V/J2OyzwEZ339PMTgd+DHzUzKYBpwP7AuOAB81sL3dPFPqJ9DaPvrGWJ5esCxYMLJzyKPWZmfq6YZ2sw4I1FRFjyi6DGFJbmT7+mMHV7DlmcN79Wr25iS1NsfRyY0uSlZu2d/C9qXVhh77ROuVS2+fTdp9g/Y4HaO9Y2W077m8d7E8e26bP1eF6iJixx5hBVEZaY3wVUaMy2nnMz93Tf/VKWbOlmcaWBODp19nT24OHS+l17bRlrc9Y13ocTx+3dZ8OzpexbdvzZf4XTzqbG2Mk3Ukkg3/BY0h68DiWcNZtbU5/ke7oWm993Lou8zoHqAyv86G1ranMowdXs+eYQeSrt1/nHfWlnK/ztVua2d5Lr/OGxhjJjGs8dZ0n3PECX+cVEWOvHa7zqp36PF+zuYnNus67WN96nVdlXNfRyM5f542xnfuKE922jbrwGJvXbu1y+7Vbm4P9VCRTpCxVVURpjCVoyvhM6M5ny/aWeNbvs3Z/H7bT1nrcdrbPOGfquK3btvm9nPm4gL9D4wlnbQF/h04ZM4jhGcPeRg6sYsouuf8OdXfMjFgiSSLj5xB8r022PunWk2ft3+EnsnWyrt39rMPfo22lprYtV/mWlMjl2RwCLHH3twDM7FZgDpAZoJgDXBw+vgP4pQXfCuYAt7p7M/AfM1sSHu+pvHrZGzzza2jenPPmlW+up+Y/GyDjw6FVOx8qZHwItFkXBxa2c45oxKjImH5sYFWUmsrWwidNsQRNsdbIbiLpNCvSm7MH2yxHDAbVdP6Wao4l+91rHDWoiliH13rbzyzP/JexLkGBrnN3mmP962fQHbrOc6PrvHcrh+t8sDVybgX87MHF3HLfozntUxnNvi5EJBfhe+aJn0NF8eq3fLJlOSsXN3HVxa1tOX22xJP97vO7kL9DX27v+BGjMuOzckCb36HN8SSNLQmmHXYiVVFn4MAB3Xk63dLkVWwmv/NPnzCsSL3pPndn/fr11NTU5LxPLgGK8cCKjOV64NCOtnH3uJk1ACPD9qfb7Du+7QnM7GzgbIBJkybl2vfy8sQvYHN9zpu/C3hXT1cAaQn/dcSAyk7WS9fiXazXa1x8XV3noJ9Bd+k6Lz1d58VXgus8aRV84D2Hc9iYGTltP35YbZd/jRWRNkbsDhaBx35S1NN8HNr/jOjqs6Wj/aRwOvgdGpv/D+r9W2wcujud5ywUT6JiIMnqHQMOneUgvLrl7eJ1qABqamqYMGFCztvnEqBo76fT9jXqaJtc9sXdrwOug2AWjxz6VH6+sqDUPRAREZFeLILxrmh5p+qK9Hr7nAzfXUvnt3zSH1UCk0vdCQz6+e+BXJ59PTAxY3kCsKqDberNrAIYCmzIcd++IapQp4iIiIhI2evnN4Ai5SyXvMDngClmNtnMqgiKXs5ts81c4Mzw8anAQx5Uw5gLnB7O8jEZmAI8W5iui4iIiIiIiEhf0WX4MKwpcT5wHxAFbnD3RWb2A2Ceu88FrgduCotgbiAIYhBu92eCgppx4DzN4CEiIiIiIiIibVm+034Um5mtBZaVuh87aRSwrtSdECkyXefSH+g6l/5A17n0B7rOpT/ojdf5bu4+um1j2QUoejMzm+fus0rdD5Fi0nUu/YGuc+kPdJ1Lf6DrXPqDvnSda24qERERERERESk5BShEREREREREpOQUoCis60rdAZEeoOtc+gNd59If6DqX/kDXufQHfeY6Vw0KERERERERESk5ZVCIiIiIiIiISMkpQCEiIiIiIiIiJacARQGY2Qlm9rqZLTGzC0rdH5F8mNlEM3vYzF41s0Vm9pWwfYSZPWBmi8P/h4ftZma/CK/3l8zswIxjnRluv9jMzizVcxLpiJlFzewFM7s7XJ5sZs+E1+xtZlYVtleHy0vC9XUZx/h22P66mc0uzTMRaZ+ZDTOzO8zstfBz/XB9nktfY2ZfC7+zvGxmt5hZjT7PpbczsxvMbI2ZvZzRVrDPbzM7yMwWhvv8wsysZ59hbhSg6CYziwJXAycC04CPmdm00vZKJC9x4Bvuvg9wGHBeeA1fAPzL3acA/wqXIbjWp4T/zgaugeADFLgIOBQ4BLgo9SEqUka+Aryasfxj4IrwOt8IfDZs/yyw0d33BK4ItyN8b5wO7AucAPwq/D0gUi5+DvzT3acCBxBc7/o8lz7DzMYDXwZmuft+QJTgc1mf59Lb/Z7gWsxUyM/va8JtU/u1PVdZUICi+w4Blrj7W+7eAtwKzClxn0Ry5u5vu/vz4eMtBF9mxxNcxzeGm90IfDB8PAf4gweeBoaZ2VhgNvCAu29w943AA5TpB5/0T2Y2ATgJ+G24bMAxwB3hJm2v89T1fwdwbLj9HOBWd2929/8ASwh+D4iUnJkNAY4Crgdw9xZ334Q+z6XvqQBqzawCGAC8jT7PpZdz98eADW2aC/L5Ha4b4u5PeTBLxh8yjlVWFKDovvHAiozl+rBNpNcJ0x5nAs8Au7j72xAEMYAx4WYdXfN6L0i5uxL4f0AyXB4JbHL3eLicec2mr+dwfUO4va5zKWe7A2uB34VDmX5rZgPR57n0Ie6+ErgcWE4QmGgA5qPPc+mbCvX5PT583La97ChA0X3tjd3R3K3S65jZIOBO4KvuvrmzTdtp807aRUrOzE4G1rj7/Mzmdjb1LtbpOpdyVgEcCFzj7jOBbbSmA7dH17n0OmG6+hxgMjAOGEiQ7t6WPs+lL8v3uu4117sCFN1XD0zMWJ4ArCpRX0R2iplVEgQnbnb3v4TNq8N0MML/14TtHV3zei9IOTsCOMXMlhIMxTuGIKNiWJgiDNnXbPp6DtcPJUi71HUu5aweqHf3Z8LlOwgCFvo8l77kfcB/3H2tu8eAvwDvQp/n0jcV6vO7Pnzctr3sKEDRfc8BU8LKwVUExXbmlrhPIjkLx2FeD7zq7j/LWDUXSFX+PRO4K6P9U2H14MOAhjDl7D7geDMbHv514/iwTaTk3P3b7j7B3esIPqcfcvczgIeBU8PN2l7nqev/1HB7D9tPD6vCTyYoMvVsDz0NkU65+zvACjPbO2w6FngFfZ5L37IcOMzMBoTfYVLXuT7PpS8qyOd3uG6LmR0Wvm8+lXGsslLR9SbSGXePm9n5BBdDFLjB3ReVuFsi+TgC+CSw0MwWhG3fAS4D/mxmnyX4MvBf4bp7gfcTFJPaDnwawN03mNkPCYJ2AD9w97aFfkTKzbeAW83sEuAFwuKC4f83mdkSgr+0nQ7g7ovM7M8EX4bjwHnunuj5bot06EvAzeEfTd4i+IyOoM9z6SPc/RkzuwN4nuBz+AXgOuAe9HkuvZiZ3QK8FxhlZvUEs3EU8vv4FwhmCqkF/hH+KzsWBBBFRESkPzOzfxBUtL+xnXUG3EBQ8Xuxu/fqSvdmdjGwp7t/wswmEdygDNXNiYiISGlpiIeIiEiZM7OlZtZoZlvNbKOZ3WNmE7veE8zsveFfYjLbLjazP2a2ufuJ7QUnQkcCxwETuhucMLOzzOzx7hyjkNx9ubsPKlRwwsxmmNl8M9se/j+jEMcVERHpDxSgEBER6R0+4O6DgLHAauCqHjz3bsBSd9/Wg+dsV0YRvLITDqu4C/gjMJxgzvq7wnYRERHpggIUIiIivYi7NxHMzjAt1RYWebvczJab2Wozu9bMas1sIMEY03Fh9sVWM/s4QZ2Zj4bLL4bHeMTMPtf2fOG4198Ch4fbfz9sP9nMFpjZJjN70symZ+xzgZm9aWZbzOwVM/tQ2L4PcG3GsTa1d+62WRZm5mZ2npktBhaHbVPN7AEz22Bmr5vZaR29ZmEh60fD/jwAjMpYVxcevyKjL5eEz2mrmf3dzEaa2c1mttnMnjOzug5O9V6C+l5Xunuzu/+CYGq3Yzrqm4iIiLRSgEJERKQXMbMBwEeBpzOafwzsBcwA9gTGAxeGGQ8nAqvCYQyD3P1PwI+A28LlAzo7n7tfD5wLPBVuf5GZHUhQk+IcYCTwa2CumVWHu70JvJtgOr/vA380s7Hu/mqbYw3L46l/EDgUmBYGXh4A/gSMAT4G/MrM9u1g3z8B8wkCEz+ktSJ6R04nKB48HtgDeAr4HTACeJWgcFl79gVe8uwCXy+F7SIiItIFBShERER6h7+FGQebCepB/BTSBSw/D3zN3Te4+xaCAMTpRezL54Ffu/sz7p4Ia1c0A4cBuPvt7r7K3ZPufhtB1kN3C2v+b/j8GoGTCYac/M7d4+7+PHAnrVMMpoVFMA8GvhdmNTwG/L2Lc/3O3d909waCDJQ33f1Bd48DtwMzO9hvENDQpq0BGJzrkxQREenPynYcp4iIiGT5oLs/aGZRYA7wqJlNA5LAAGB+EKsAgmEF0Yr6/xEAACAASURBVCL2ZTfgTDP7UkZbFTAOwMw+BXwdqAvXDSJjWMVOWtHm/IemhoiEKoCb2tlvHLCxTf2MZUBnRUZXZzxubGd5UAf7bQWGtGkbAmzp5FwiIiISUgaFiIhILxJmLPwFSBDMrrGO4KZ5X3cfFv4bGhbUBGhvPvHuzjG+Arg043zD3H2Au99iZrsBvwHOB0aGwzheJgiadHTubQRBlpRdu+jzCuDRNucf5O5faGe/t4Hh4bCQlEm5Pc28LQKmW0akCJgetouIiEgXFKAQERHpRSwwh2CWiFfdPUkQELjCzMaE24w3s9nhLquBkWY2NOMwq4E6M9vZ7wG/Ac41s0PD/gw0s5PMbDAwkCCYsDbsy6eB/dqce0KbmS0WAB82swFmtifw2S7Ofzewl5l90swqw38Hh0U4s7j7MmAe8H0zqzKzI4EP7OTz7sojBIGjL4eFS88P2x8q0vlERET6FAUoREREeoe/m9lWghoUlwJnunvqL/PfApYAT5vZZuBBYG8Ad38NuAV4K5xxYxxBHQWA9Wb2fL4dcfd5BHUofglsDM99VrjuFeD/CApLrgb2B57I2P0hgoyCd8xsXdh2BdASbn8jcHMX598CHE9QZ2MV8A5BodDqDnb5OEGBzQ0EBS7/kOtzzYe7txAU8/wUsAn4DMHQnJZinE9ERKSvsexC0yIiIiIiIiIiPU8ZFCIiIiIiIiJScgpQiIiIiIiIiEjJKUAhIiIiIiIiIiWnAIWIiIiIiIiIlJwCFCIiIiIiIiJSchWl7kBbo0aN8rq6ulJ3Q0RERERERESKYP78+evcfXTb9rILUNTV1TFv3rxSd0NEREREREREisDMlrXXriEeIiIiIiIiIlJyZZdBISIiItIvLX0cVr9S6l6I9H3jZsDEQ0rdCxFphwIUIiIiIuXgjs/C1ndK3QuRvm/knvCl+aXuhYi0QwEKERERkXKQaIGZn4D3/aDUPREpqKZ4guv//R+2tcSz2t+z12gOnTyyZztzz9dh1Qs9e04RyZkCFCIiIiJlwaGiFgb28A2bSJEtXLqBnz6+joFVUSqiQQm8rc1xFqyP8qf99urZzlTUAN6z5xSRnClAISIiIiIiRRNLJAG4/qyDOWz3IAD38d88TUs8WcpuiUgZ0iweIiIiIuXAHcxK3QuRgosngoyFikjr9V0ZjaQDFz3KTAkUImVMGRQiIiIiZUMBCoBH31jLxXMXkUi23klGI8YP5+zHkVNGlbBnsjNSP8doRoCiqiJCc0kyKLr3HmuJJ/nE9c/wTkNTVvsRe47kfz88vVvHFhFlUIiIiIiUCf1ZN+WZt9azbP02DtptOAftNpwDJw3jP+u28fzyjaXumuyEeBigqIy23npUlSqDAujOe2315iae/c8GRg+uTl+fAA+/trZQnRPp15RBISIiIlIuNMQDgG3NcQZVV3DFR2cA4O7c9eIq4iW7oZXuSP3c2mZQxBIlCMrl+R5LJp0N21vSyys2bAfg7KN2Z/a+uwLw/+54kcfeWFe4Por0YwpQiIiIiJSDfpxAsWZLE5sbY+nldzY3Mai69WuqmVEZiRBL9o0XqSWeZPmGbVltNZVRJgwfUKIeFVcqgyK7BoWxvSXBkjVbMtoiTBoxACt2oM5zv46+ecdL3Pl8/Q7tIwdWpR8bhvfnN7BIASlAISIiIlI2+l8GxfqtzRz+vw9l1ZsA2HfckKzliqgR6yOzPvzPXxdy+/wdb3q/OXtvDpk8Ir08YXgtY4fW9mTXiiL1s63IGOIxuKaSdVubed/PHsva9rpPHsTxYWZCceT3Hlu1qZFJIwbw+XdPTrcNrK5g5qThrUe0vGIeItIJBShEREREykL/vMNpaIyRSDpnHr4bs+pab86ntQ1QRCz9l/jebt3WZiaNGMA3Z+8NwOamGP/z15f56X2vZ203flgtT1xwTCm6WFCpWhOZGRTnH70nMycNS9/Yb9rewvfuWsTGjOEUxZP7dZR0Z9ehNXzy8LoOt9HEICKFowCFiIiISLnohzUokuEd6kF1I/jAAeM63K5k01IWQSzhjB5cnfV8D6kbwerNzenlm59Zxr8X9426Bq0ZFK3X9/CBVZw8vfX5r97cxPfuWkTRY1B5vsXcIdLltAKmDAqRAlGAQkRERKQc9NM7nNQNabSL4ExF1IhnFFVMJp3b5q3Iql0BcMjkEVnp9+WoJZGkMpr9fKfsMpgpuwxOL/978dpeG5B5csk6Fq5sSC+/sHwTkF0ks63Ujz/ZE++DPM6RcKeyiwhF0Pf++f4VKTQFKERERETKRv/LoEj9db2Te1cgzKBItt6wv7yqgW//ZeEO202fMJS55x9Z0D4WWjyRZGB151/DK6K9d0jLN+94iZWbGrPaRgysYkhNZYf7RMIIRfGfcp6zeLin+9aZfhpfFCk4BShEREREykL/vMNJByi6iFBURiPMX7aRC+58CYBVDU0A3HHu4el6FRfetYh/LHw7vQ0EN/rnvmePspohI5ZwKqOd/1W+IhIhkXTcvfizWhRYczzBabMmcPEp+6bbKqORTp9zKgjgPXKnn08NCrp8/S2vI4pIZxSgEBERESkH7v2yBoXnOMTjiD1H8sArq3n49TXptmljh7DP2CEMqAq+0h699xieWLIuvU3SYe2WZvYYPYhPHzG53eOWQqydIR5tpQpKxpPe5bY9pSmW4MK7XqahzbCa46btyqkHTUgvx5NOTWU0/XPJRSo+lSx2CkWeU24kk05XL39wSIUoRAqhoAEKM4sC84CV7n6ymU0GbgVGAM8Dn3T3nijNKyIiIiK9QMJTGRSdb3fJB/fnkg/u3+k2J00fy0nTx6aXtzTF2P/i+3eYwrTUWhLJrCk325NaH084ldGe6FXXFq/eyp/n1TN+WC2Da4LbiBUbtvN2Q1N2gCLhVHRdWTKLFXCIx4oN2/mfv71MUyyR1f7pd9VxYp7HymWIh2HKoBApkEJnUHwFeBVIzQv1Y+AKd7/VzK4FPgtcU+BzioiIiPQB/fMWJ1UUMZdx/vlKFWUsZYDizbVb+eqtC2iOt94sr9iwnenjh3a6XyprIp5MAuURoWhJBM/hRx/en/fsNRqAs/8wj+UbtmdtF08ms2bsyEWkgEUyX1ixicfeWMsBE4dRWxkESl5c0cDdC9/mxEH5DcjIaYhHfkkZItKJggUozGwCcBJwKfB1C97JxwAfDze5EbgYBShEREREJJRMFj9AUcpiky+vbGDhygbePWUUg8LCmHuMHsSpB03sdL/0EI9E9/t+8dxF3P3S2+kRRO4wtLaC2845nFGDqnM+TnMsKFJalZH9UVmx4/SvQQZFvgGKVA2KvHZrV0s86M9Vp89k0sig9sgpv3ycbc1xGJTfsZJJp4tkl6AGhSIUIgVRyAyKK4H/B6TmRxoJbHL3eLhcD4xvb0czOxs4G2DSpEkF7JKIiIhIL9FPa1CkpxnN84Y2F6lhBqXMoEid+5IP7sduIwfmvF80vCtuaIxRWRE8Nuhy9o+HX1/DF//4fJh5EYiFQY6PHRJ8z168egvzlm1k1iUPZtW3mL3vrvzy4wd2eOzmMBBRXdl6x14djdCSEaBwd+JJ73IIS1uts3h0/2eVCphUVbT2YUBVlM2NMWJJiLqzvTlORcSo6WL8TE5DPExDPEQKpSABCjM7GVjj7vPN7L2p5nY2bfe96+7XAdcBzJo1S+9vERERkTIXSyR5J5xJozOjB1d3ehOYKGIGRSrmUcoARSp7I98ATE14c/3eyx/Jav/O+6dy9lF7dLjf4tVbaIwl+Py7J6dnzYiY8ZGDJjB5VBAgSSadG574Dxu2tZaGe+i1NSxYsanTPqUyE7IyKKIRYvHW1zf1WuebQWHpIR557dauVIAiM/gytLaS+xat5vZVKzgu2szBF91HZdS467wj07PAtCfXaUYVoRApjEJlUBwBnGJm7wdqCGpQXAkMM7OKMItiArCqQOcTERER6WOc9v++U56+etsC7nnp7S63mz5hKHPPP7LD9a01KArWtTQzIxqxssigyDdAccJ+u7K9JZEOCgBc+eAbLFu/vZO9WrMl/nv23lRXtB8YikSMz71796y2zU0x7l34Tlbbxm0t1G9sTC8vWbMVgOqKzCEelpVBkQrI5FuDwgpYgyL1mlVm9PO/j9+bWbuNYOZrwxm4NsqnZ9XxuyeW8s7mxi4CFF1PgWum+IRIoRQkQOHu3wa+DRBmUPy3u59hZrcDpxLM5HEmcFchziciIiIipbV03TamjR3Cp4+o63CbO5+v58212zo9TuqGtBhDPFLHLWUNip0NUAyuqeTMd9Vltf328be6DLakswfynEVjYHUFW5viPPbG2nTb2TfNoymW3GHbIbWV6cdV0SiNLYn0fo3hzBn5nr+1BkXnz6+hMcaLbTI9qioiHFw3Iv0apwImmZkeU3YZzJRdBkPDEGiI8uGZE/jdE0tJ7vj0sgQZFJ1vY5hqUIgUSKFn8WjrW8CtZnYJ8AJwfZHPJyIiItI7lXENiqZYgodfW5P1l/LVm5t595RR/Nesjos9Llq1mUWrNnd67NQNd1czJeysqFlB/iq/s1qHPOR3w96eikiky2BLLJGkImJd/tW/rTGDa2hJJPnUDc9mtR+55yjOygiUDB9YxS5DatLLIwZW0hhL7LDf0IwgRi4iOU4z+pN/vsbNzyzfof2k/cdy/L67AEFhUsgOUKSFU26kLrdEF9dGbjUoOu+ziOSu4AEKd38EeCR8/BZwSKHPISIiIiI9596Fb/P1P7+4Q/vE4bWd7ldTGaU53vmfqFP3h8XKoKiIWEFmwthZO1uDoj25DFeJJTzv4RUAnzp8Nw6cNCwrmBMxY99xQ7OKTbZ19lF78K49R2VlEFREIuzXxTSqbeU6zeiWpjjjhtZw1cdnAsGMIR+97mnuWfg29yxsHXI0alBVp0Ga1M8j2cXrmUx2XR8lv4lLRaQzxc6gEBEREZGclG8Niq3NwaRsd37hcIYNqAKCnnY1K0V1RYSWeJJk0ju8WWwtklm4/maKRo1EV3n8RZQ6d75FI9tTkcNwlVgimS6OmY/KaISZk4bnvV9VRYQDd2K/tizHDIpE0hlYXcFBu41Ity248DjWZxT8BBg1sKPpU4NwQq4ZGzkN8bDCTI8qIgpQiIiIiEgXUkUH9xwzOK/U/dTsHRfOfTk9xMEMzjh0EnuOCWamT6SLZBZviEcpa1AUPoOi82BLLJFsf2hDLxCxrmtQxBLJHV7LYQOq0oGzXKVeosIM8TBcORQiBaEAhYiIiEg56GYNiiffXMdtz63IaquuiPDfs/dmzOCaDvbKTeomO98b3/3GD2HUoCr+/mJr6n1DY4zfPbGUOTPGAfD2pmCq0mIWyXx8yTq+cusL6bZdh9ZwwQlTi1b3IlMisXPTbrYn2ma4irtz2T9fy5rudcGKTTuVQVEOIjnUC0kkd24IS1qY7pBrUc5EModZPFAGhUihKEAhIiIi0gfc9twK7nnpbSaEdSG2NMVZv62Fvzy/knftOSq93dRdB/Od9++T17FjYQZFvjeG754ymnnfPS6r7bJ/vMY/X347ayaGAyYMZXwX9Sx21rH77MJTb65Lny/1unz2yMl5BW7Wbmnmu39bSGObWS1OP3gi799/bIf7FTKDoiKaXYNizZZmfv3oW4wcWMXgmuBrvQHH7DOm2+cqhSBA0fk2saQXpOBoKkCR+XouXbeNS+55NasYbENjS9fDjzTNqEjBKEAhIiIiUha6V4MikXQmjRzAQ994b3A0d75x+4u8tXYbmxtjALzT0MRjb6zlghOm5jXLQ2rqykJkAVxw4lQuOHFqt4+Tq//98P5Zy3fMr+e/b3+Rppb86lIsWLGJ+xatZu9dBlNbFQxdef2dLVRFLStA8d+3v8gbq7ekl99paCJihZmlJNpmFo/GlmBKz++evA8fmjmh28cvNbOui2QmksluXodBDYpUwCgzQPH0W+t58NXV7DtuSDoLZb/xQzl67xwCPopQiBSEAhQiIiIifUDbsfJmxs9Om5G1za8ffZP//cdrbI8lGFSd+9fAWNKpikZ6ZEhEsQ0IgwuNsURe+zXHg+2v+v/s3Xl8lOW9///XZyYbhD0IAgESdxYhrGKxmwioVaw91dpSa1vXY1vbc87PU/R3WtueU2utra0e17pgW6qtWovtsRaLWGulKAhuoLI0QNjXQCAJycz1/WPuGSYh2z2ZNXk/H488yH3Ndd/3NeGeG+5PPtfn+twEThkcqZ9x0T1/b7JKSSjseGpFFeUDiykr6QlASXEBpx7fJxlDJ6/ZKh7R99DDq/WR6wJm7U6VaAy5pGSjRC/l+PM1eD/b+V+aynG9Wyuy2cKxUA0KkWRRgEJEREQkG3SyBkU4HCkI2ZZiLyhxoLbB10PtkcZw5+b9Z5Ho+66pb2zysN9elkOdN7WjKO/ozy26SklU9PvPTBnOdR89Manjhsg0kYZQODbuQ97qKkVdJkDR/rKfjWFHUX4npnh4NShiGRRxEYpQgplCWsVDJHkUoBARERHpAkLOtRvf6OOtwPGh2170ffz+PTu+ekc2iwZp/uW+V5u0n3/68XzvorGx7fxAgL5x7zmaQRH/cFyYF4gtwQpQ52U0FOalpkhlYV6Av63dzYk3P9ek3U82TDYLmHHoSIjdNfWxtl6FeU0CMI1hRzCJNSjip5REp8/4DcZFJo2ISDJ0jbuZiIiISM7rXA0K59pPfT/7tEHcdN5pTaYldNSoIcmZppBpE0b041sXjI5lHwDc+9I6nnt7O8+9vb1J32+eexozR0fqD2zZVwtAYVwGRUEwQH1c0cy6WBAjNRkN/zHrVKaUDWjS1qswj/HD+6XkfOlWmB/g8dc28fhrm2JtZvCHr54VCwwdrm9kYLG/JUWbioQTYgGKuIyNhtiKK/4CINaB5VFFpGMUoBARERHpAsKOJjUoWtKrMI9rUzD1IJfkBwNceVZ5k7ZPTypl8Xs7Y3n6jWHHd/+wmh8+/x4/fP69uH2NooK4DIr8ANW1DbxeuRcgttxnqjIoKob3o6KLBCNa8r+fm8jauAKjf/1gF39Zs5ML7n6lSb/TkhAsi8by4qf5hMKJrVYTqUEhIsmgAIWIiIhINuhkDYpQ2PlamUOOGtqvB5dPG9mkbUrZAP65+9Ax/eIzKPr1LGDL/louuX9pk379e3bmN/zd17QTSph2Qkls+3NnjGTJezuPKWjaPIvEF4usCRrNNooveXE0g0I1KEQyRQEKERERkS4gsopHpkfRdYwd1pexw/q22Wfeeadx/tghTdqK8gNMGNE/lUPrNoIB45zRg1NybGuxBkWYYMB8r1ajj51I8ihAISIiIpIVOleDIuxcu6t4SHL1KcrnrJMHZnoY4kukBsXRDIqmRTL9Zk9EDhnZxznXJZbiFckkBShEREREuoBwuP0aFCISEY1DLF6zk72HGgD4x/o95Af91w+Jfuo6OUtLRFCAQkRERCR7dKYGRQeWGRXp9ryCEYV5QU4Z3IuVm/ezcvP+2MuTEpieo8+dSPIoQCEiIiLSBTjnyEvgt78i3VEwYCz6t48m5Vjm5VCoTqZI5+lfMREREZFMi82D7+QqHvpVrkg7IjUoknpE72PntJSHSKcpQCEiIiLSBYQdWmZUJANiNSgyOgqRrkEBChEREZFMi/7mtRMZEFpmVKQDvBoUyT4kJP2wIt2SAhQiIiIiXYCWGRXJLKccCpFOU4BCREREJOOSUYMCTAEKkQ5IdgaFVyRT8QmRTtMqHiIiIiI5xjnH+l2HqD0SirXVHmlEi3iIiEguU4BCREREJNN81qBYsXEfn75/6THtE0f0T+aoRLoe1aAQyWoKUIiIiIhkjY4FKKprGwD4r0+MoqykONY+YUS/lIxKpOtI/jQo846pGhQinacAhYiIiEjG+Xuwif6mdmr5AMaVKigh4o8yKESylWYqioiIiGSLDv5y92hJTRXFFPElBYVko0dUfEKk8xSgEBEREck0n796dV5/LdohkoCU1aBQiEKksxSgEBEREckaHYs46DFIJFGprEEhIp2VtACFmQ03syVmtsbM3jWzr3vtA8zsBTNb6/2p8tIiIiIiTSRWgyKgFAqRBKgGhUi2SmYGRSPwH865UcA04CtmNhqYByx2zp0MLPa2RURERKS5DgccNMVDJCGp/NAoQCHSaUkLUDjntjnn3vC+PwisAYYBFwGPed0eAz6ZrHOKiIiIdAm+a1BE/lSAQiQBSa9BoQ+iSLKkZJlRMysDJgDLgMHOuW0QCWKY2aAW+l8DXAMwYsSIVAxJREREJIsdXZfDX289GIn4YyQ71SHofQw/dNvi2LQrM/jvT47loophST2XSFeX9ACFmfUCnga+4Zw70JGIonPuQeBBgMmTJys5SkRERKQNyqAQyR7njh3Ctuo6GkJHH2MeW1rJ6q0HFKAQ8SmpAQozyycSnFjgnPud17zDzIZ42RNDgJ3JPKeIiIhIzvMZcQhHlxlN1XhEuiqzpE/xOL5vETedP6pJ269f26iSFCIJSOYqHgY8DKxxzv0k7qVngSu8768AFibrnCIiIiLdUWyKhyIUIlkpYIbTsh4iviUzg2I6cDnwtpmt8tpuBm4DfmtmVwKbgEuSeE4RERGRLsBnDQrnr7+IRCW/BkVrZwkrPpFTGhoaqKqqoq6uLtND6VKKioooLS0lPz+/Q/2TFqBwzr1C6/9KzkjWeUREREQkQhkUItnJzJI9k0RSrKqqit69e1NWVqaVWZLEOceePXuoqqqivLy8Q/skbYqHiIiIiCTIZw2KWPcUDUeky0pBDYpWT6MqFDmlrq6OkpISBSeSyMwoKSnxlZWiAIWIiIhIjok++Og/0iLZyUhLHESSTPfU5PP7M1WAQkRERCTj/Nag8NNbRI5KUw0KFcmUBASDQSoqKmJflZWVvo+xf/9+7r333uQPLk2SusyoiIiIiKSezxkhIpJmAUtHGES6mh49erBq1ar2O7YhGqC4/vrrfe0XCoUIBoOdOncyKINCREREJNP81qDw/jTlUIj4k6aonpkRVgaFJEEoFOLGG29kypQpjBs3jgceeACAmpoaZsyYwcSJEzn99NNZuHAhAPPmzWP9+vVUVFRw44038tJLL3HBBRfEjvfVr36V+fPnA1BWVsb3vvc9zjrrLJ588knWr1/Pueeey6RJk/jwhz/Me++9l/b3qwwKERERkRwTTR1XBoVIdlINitz23T+8y+qtB5J6zNFD+3DLhWPa7FNbW0tFRQUA5eXlPPPMMzz88MP07duX119/nfr6eqZPn86sWbMYPnw4zzzzDH369GH37t1MmzaNOXPmcNttt/HOO+/EMjFeeumlNs9ZVFTEK6+8AsCMGTO4//77Ofnkk1m2bBnXX389L774YuffvA8KUIiIiIhknM8aFKkbiEgX533GnEtphM/M9DkV31qa4rFo0SLeeustnnrqKQCqq6tZu3YtpaWl3Hzzzbz88ssEAgG2bNnCjh07fJ/zM5/5DBDJyHj11Ve55JJLYq/V19d34t0kRgEKERERkVyjGhQiWS2ymqlCFLmqvUyHdHLOcffddzN79uwm7fPnz2fXrl2sWLGC/Px8ysrKWlzOMy8vj3A4HNtu3qe4uBiAcDhMv379Ol0Do7NUg0JEREQk03zXoNAyoyIJsbgMilSeJvWnkG5i9uzZ3HfffTQ0NADwwQcfcOjQIaqrqxk0aBD5+fksWbKEjRs3AtC7d28OHjwY23/kyJGsXr2a+vp6qqurWbx4cYvn6dOnD+Xl5Tz55JNAJDDy5ptvpvjdHUsBChEREZEco2VGRbJbwEwBCkmKq666itGjRzNx4kTGjh3LtddeS2NjI3PnzmX58uVMnjyZBQsWcNpppwFQUlLC9OnTGTt2LDfeeCPDhw/n0ksvZdy4ccydO5cJEya0eq4FCxbw8MMPM378eMaMGRMrvJlOmuIhIiIiknGJ1aAIKINCxKfoZybFGRSGVvEQ32pqao5pCwQC3Hrrrdx6663HvLZ06dIWj/PrX/+6yfbtt9/O7bfffky/ysrKJtvl5eU8//zzPkacfMqgEBEREckxPmeEiEiaGSpmK5IIBShEREREMi3RGhSpGo9IV5WuGhSa4iGSEAUoRERERHKM8zcjRETSTKt4iCRGAQoRERGRrOGvBoUpQiHiU/pqUCg8IeKfAhQiIiIiOSb6m1nVoBDJTpFVPBSiEPFLAQoRERGRTPNbg0LLjIokJpZAkeIMCiCs+ISIbwpQiIiIiOSYoxkUClGIZCMz0xQP8S0YDFJRUcHYsWO58MIL2b9/f7v73HXXXYwaNYq5c+emYYSppwCFiIiISMb5q3qpGpkiiUpjDQpN8RCfevTowapVq3jnnXcYMGAA99xzT7v73HvvvTz33HMsWLCgQ+dobGzs7DBTSgEKERERkRzjc0aIiKSZkfJZJNLFnXnmmWzZsiW2/aMf/YgpU6Ywbtw4brnlFgCuu+46NmzYwJw5c7jzzjs5dOgQX/7yl5kyZQoTJkxg4cKFAMyfP59LLrmECy+8kFmzZrV6vMrKSkaNGsXVV1/NmDFjmDVrFrW1tQCsW7eOc845h/HjxzNx4kTWr1/f6nE6I6/TRxARERGRzvFbg8L7U6t4iPgU/YylugaFGU6TPHLXn+bB9reTe8zjT4fzbutQ11AoxOLFi7nyyisBWLRoEWvXruW1117DOcecOXN4+eWXuf/++3n++edZsmQJAwcO5Oabb+bss8/mkUceYf/+/UydOpVzzjkHgKVLl/LWW28xYMCAVo83YsQI1q5dy+OPP87Pf/5zLr30Up5++mk+//nPM3fuXObNm8fFF19MXV0d4XC41eN85CMfSfjHpACFiIiISI5xqpIpktUCpgwK8a+2tpaKigoqKyuZNGkSM2fOBCIBikWLFjFhwgQAampqWLt27TGBgEWLFvHss89yxx13OpAUfwAAIABJREFUAFBXV8emTZsAmDlzJgMGDGjzeCNGjKC8vJyKigoAJk2aRGVlJQcPHmTLli1cfPHFABQVFfkalx8KUIiIiIhkXGJPMpriIeJXmmpQYIQVochdHcx0SLZoDYrq6mouuOAC7rnnHm644Qacc9x0001ce+21be7vnOPpp5/m1FNPbdK+bNkyiouLm/Rr6XiVlZUUFhbGtoPBILW1ta3WU+nouPxQDQoRERGRHKMECpHsZsqgkE7o27cvd911F3fccQcNDQ3Mnj2bRx55hJqaGgC2bNnCzp07j9lv9uzZ3H333bGAwsqVK1s8fkePF9WnTx9KS0v5/e9/D0B9fT2HDx/2fZyOUAaFiIiISKb5rkGhZUZFEpLWGhQiiZswYQLjx4/niSee4PLLL2fNmjWceeaZAPTq1Ytf/epXDBo0qMk+3/rWt/jGN77BuHHjcM5RVlbGH//4x2OOPWvWrBaPFwwGWx3PL3/5S6699lq+/e1vk5+fz5NPPtnqcZqPyw/LtuVvJk+e7JYvX57pYYiIiIikz8Ed8ONT4BM/hilXtdv9gb+u5wd/eo93vzub4kL9vkmkw165E/7yHbh5GxT0TNlpzv/Z3xjar4iHrpiSsnNIcq1Zs4ZRo0ZlehhdUks/WzNb4Zyb3LyvpniIiIiIZNzRdTl89VYChYhPaapBoSkeIglRgEJEREQkxxytQaEIhUg2CmiKh0hC0hKgMLNzzex9M1tnZvPScU4RERGRnJFwDYpUDUiki0pbDQq0iodIAlIeoDCzIHAPcB4wGvismY1O9XlFREREck8HAxT+4hkiEpOeD42hKR65KNvqM3YFfn+m6aiqNBVY55zbAGBmTwAXAavTcO70eWwO1HR8SZV9h49QXduQwgGJiIhIrggSYjjw08Uf8Nzf/tpu/72HjgCa4iGSsJ9/HKz1FQs66659hzmyK0Tl9zSjPleEz/h3tgdr6V9ckLEVkmqsmD2BEl/7nDK4d4pG03nOOfbs2UNRUVGH90lHgGIYsDluuwo4I76DmV0DXAMwYsSINAwpBQacAEV9O9y9trqOvdSlcEAiIiKSS7bbqewumc6J+b3a7XvicVA+sJiCPD38iPhyymzYuhLCjSk9TV5eLXsO1Kf0HJJcbs2f2RHsyc5eg0lXpk1zDYED1Fl1x3cwCO0tSN2AkqCoqIjS0tIO90/5MqNmdgkw2zl3lbd9OTDVOfe1lvprmVERERERERGRriuTy4xWAcPjtkuBrWk4r4iIiIiIiIjkiHQEKF4HTjazcjMrAC4Dnk3DeUVEREREREQkR6S8BoVzrtHMvgr8GQgCjzjn3k31eUVEREREREQkd6S8BoVfZrYL2JjpcSRoILA704MQSTFd59Id6DqX7kDXuXQHus6lO8jF63ykc+645o1ZF6DIZWa2vKVCHyJdia5z6Q50nUt3oOtcugNd59IddKXrXGtTiYiIiIiIiEjGKUAhIiIiIiIiIhmnAEVyPZjpAYikga5z6Q50nUt3oOtcugNd59IddJnrXDUoRERERERERCTjlEEhIiIiIiIiIhmnAEUSmNm5Zva+ma0zs3mZHo+IH2Y23MyWmNkaM3vXzL7utQ8wsxfMbK33Z3+v3czsLu96f8vMJsYd6wqv/1ozuyJT70mkNWYWNLOVZvZHb7vczJZ51+xvzKzAay/0ttd5r5fFHeMmr/19M5udmXci0jIz62dmT5nZe959/Uzdz6WrMbN/8/7P8o6ZPW5mRbqfS64zs0fMbKeZvRPXlrT7t5lNMrO3vX3uMjNL7zvsGAUoOsnMgsA9wHnAaOCzZjY6s6MS8aUR+A/n3ChgGvAV7xqeByx2zp0MLPa2IXKtn+x9XQPcB5EbKHALcAYwFbglehMVySJfB9bEbf8QuNO7zvcBV3rtVwL7nHMnAXd6/fA+G5cBY4BzgXu9fwdEssXPgOedc6cB44lc77qfS5dhZsOAG4DJzrmxQJDIfVn3c8l184lci/GSef++z+sb3a/5ubKCAhSdNxVY55zb4Jw7AjwBXJThMYl0mHNum3PuDe/7g0T+MzuMyHX8mNftMeCT3vcXAb9wEf8A+pnZEGA28IJzbq9zbh/wAll645PuycxKgU8AD3nbBpwNPOV1aX6dR6//p4AZXv+LgCecc/XOuX8C64j8OyCScWbWB/gI8DCAc+6Ic24/up9L15MH9DCzPKAnsA3dzyXHOedeBvY2a07K/dt7rY9zbqmLFKH8RdyxsooCFJ03DNgct13ltYnkHC/tcQKwDBjsnNsGkSAGMMjr1to1r8+CZLufAv8JhL3tEmC/c67R246/ZmPXs/d6tddf17lksxOAXcCj3lSmh8ysGN3PpQtxzm0B7gA2EQlMVAMr0P1cuqZk3b+Hed83b886ClB0Xktzd7Q0iuQcM+sFPA18wzl3oK2uLbS5NtpFMs7MLgB2OudWxDe30NW185quc8lmecBE4D7n3ATgEEfTgVui61xyjpeufhFQDgwFiomkuzen+7l0ZX6v65y53hWg6LwqYHjcdimwNUNjEUmImeUTCU4scM79zmve4aWD4f2502tv7ZrXZ0Gy2XRgjplVEpmKdzaRjIp+XoowNL1mY9ez93pfImmXus4lm1UBVc65Zd72U0QCFrqfS1dyDvBP59wu51wD8DvgQ+h+Ll1Tsu7fVd73zduzjgIUnfc6cLJXObiASLGdZzM8JpEO8+ZhPgyscc79JO6lZ4Fo5d8rgIVx7V/wqgdPA6q9lLM/A7PMrL/3241ZXptIxjnnbnLOlTrnyojcp190zs0FlgCf9ro1v86j1/+nvf7Oa7/MqwpfTqTI1GtpehsibXLObQc2m9mpXtMMYDW6n0vXsgmYZmY9vf/DRK9z3c+lK0rK/dt77aCZTfM+N1+IO1ZWyWu/i7TFOddoZl8lcjEEgUecc+9meFgifkwHLgfeNrNVXtvNwG3Ab83sSiL/GbjEe+054HwixaQOA18CcM7tNbP/JhK0A/iec655oR+RbPNN4Akz+x9gJV5xQe/PX5rZOiK/absMwDn3rpn9lsh/hhuBrzjnQukftkirvgYs8H5psoHIPTqA7ufSRTjnlpnZU8AbRO7DK4EHgf9D93PJYWb2OPAxYKCZVRFZjSOZ/x//VyIrhfQA/uR9ZR2LBBBFRERERERERDJHUzxEREQEM/uTmV3RymtmZo+a2T4zy/kUaDP7jpn9yvt+hJnVmFkw0+MSERHp7hSgEBERyXJmVmlmtd6D9D4z+z8zG97+nmBmH/NSRePbYg/oUc6585xzj9Gys4CZQKlzbmpCb+Loub9oZq905hjJ5Jzb5JzrlazUbjN70MzeN7OwmX0xGccUERHpLhSgEBERyQ0XOud6AUOAHcDdaTz3SKDSOXcojedsUVyV/mz1JnA9kfnxIiIi4oMCFCIiIjnEOVdHZPnI0dE2rwr9HWa2ycx2mNn9ZtbDzIqJFMEa6mVf1JjZ54gUwv2Mt/2md4yXzOyq5ufzCnM9BJzp9f+u136Bma0ys/1m9qqZjYvbZ56ZrTezg2a22swu9tpHAffHHWt/S+dunmVhZs7MvmJma4G1XttpZvaCme31MhYube1n5q209VdvPC8AA+NeK/OOnxc3lv/x3lONmf3BzErMbIGZHTCz182srI2/n3ucc4uButb6iIiISMsUoBAREckhZtYT+Azwj7jmHwKnABXAScAw4NtexsN5wFZvGkMv59yvgVuB33jb49s6n3PuYeA6YKnX/xYzmwg8AlwLlAAPAM+aWaG323rgw0Bf4LvAr8xsiHNuTbNj9fPx1j8JnAGM9gIvLwC/BgYBnwXuNbMxrez7a2AFkcDEf3N0ybbWXEZkdaNhwInAUuBRYACwhkhldREREUkyBShERERyw++9jIMDROpB/AgiBSyBq4F/c87tdc4dJBKAuCyFY7kaeMA5t8w5F/JqV9QD0wCcc08657Y658LOud8QyXroVO0K4Afe+6sFLiAy5eRR51yjc+4N4Gng0813MrMRwBTgW865eufcy8Af2jnXo8659c65aiIZKOudc39xzjUCTwITOvleREREpAXZPo9TREREIj7pnPuLt9rERcBfzWw0EAZ6AisisQoADEjlqhQjgSvM7GtxbQXAUAAz+wLw70CZ91ov4qZVJGhzs/OfEZ0i4skDftnCfkOBfc3qZ2wE2ioyuiPu+9oWtnt1aMQiIiLiiwIUIiIiOcRbbeJ3ZvYAkdU1fkfkoXmMc25LS7t0sM2PzcD3nXPfb/6CmY0Efg7MIDKVI2Rmq4gETVo79yEiQZao41voE7/fZuCvzrmZHRjrNqC/mRXHBSlGtDIOERERySBN8RAREckhFnER0B9Y45wLEwkI3Glmg7w+w8xstrfLDqDEzPrGHWYHUGZmif4/4OfAdWZ2hjeeYjP7hJn1BoqJPPzv8sbyJWBss3OXmllBXNsq4FNm1tPMTgKubOf8fwROMbPLzSzf+5riFeFswjm3EVgOfNfMCszsLODCBN93u7xzFBEJyOSbWVEnfs4iIiLdiv7BFBERyQ1/MLMaIjUovg9c4Zx713vtm8A64B9mdgD4C3AqgHPuPeBxYIO34sZQInUUAPaYme/lMJ1zy4nUofhfYJ937i96r60GfkyksOQO4HTg73G7vwi8C2w3s91e253AEa//Y8CCds5/EJhFpM7GVmA7kUKhha3s8jkiBTb3Eilw+YuOvtcELCKS0fIh4EHv+4+k8HwiIiJdhjmnDEcRERERERERySxlUIiIiIiIiIhIxilAISIiIiIiIiIZpwCFiIiIiIiIiGScAhQiIiIiIiIiknF5mR5AcwMHDnRlZWWZHoaIiIiIiIiIpMCKFSt2O+eOa96edQGKsrIyli9fnulhiIiIiIiIiEgKmNnGlto1xUNEREREREREMk4BChERERERERHJuKyb4iEiIiIi0tzdi9fy0ge7mrSVFBdw9+cmUJgXzNCoREQkmZRBISIiIiJZ75mVW9i45zA98oP0yA9yqL6RRat3ULWvNtNDExGRJFEGhYiIiIhkvZBznHVSCT+9bAIAf1m9g6t+sZxD9Y0ZHpk09++/WcUr63a32++zU0fwbzNPScOIRCRXKEAhIiIiIlkvFHYEAhbb7lkYmdZxqD6UqSFJK15Zt5veRXlMLR/Qap+/rNnJsn/uSeOoRCQXKEAhIiIiIlkvFHYE7WiAok9RPgBzH/oHgbj2SyYP5wefOj3t4+sOdh2s55yf/JXq2oYm7ZdMKuVHl4yPbTeEwnzoxIH89yfHtnqsTQ/9g7qGcMrGKiK5SQEKEREREcl6obAjL3g0EDFqSB9uOu80DtQdfVj+w5vbWL3tQCaG1y1U7TtMdW0DF1UMZWRJMQB/eHMra7Y3/Zk3hpr+XbUkLxCgMaTpOSLSlAIUIiIiIpL1QmHXJFMiGDCu/eiJTfqs3nqA3TVH0j20rOeco76xabZCXsDIC/qrl197JDKd5rNTRzDthBIAPth+kA27a5r0awiHyW/n2PlBoyHkfJ1fRLo+BShEREREJOuFnCMYaPu38sGAEQrrobe5G55YxR/e3NqkrbggyJIbP8ag3kUdPk5tQyRA0SP/6LKuBXkBjjQLfjSGHPntZFDkBwM0hjXFQ0SaUoBCRERERLJeKNx+gCJgRtjlZoBi4aotxyyZOmpIb84+bXCnj71m2wFOO743cyqGArB+5yGefqOK7dV1bQYoXv5gF8sr98a21+6MZEr0LGg9QOGcozHsyAu0nUGRFwwog0JEjqEAhYiIiIhkveZFMluSFzQaczCDovpwA19/YtUx7f175rPy27N8Hy8Udri4QM2B2gY+fuogrv/YSUAk8PD0G1XHZD40970/rmbdzhrif+wDexUwuO/RoEZ+MMCRuEBDNOjQbgZFwGgIKYNCRJpSgEJEREREsl6HMyhyIEBxz5J1PPjyhth2dMx3f3YCs8ZEMiZ+8Nx7PLl8s+9j/2X1Dq755XKa/xj69cyPfV+YF8luaC9AUXskxL9MLOXHl45vtU9hXoAjjUeXeo1O22ivvkVe0GhUBoWINKMAhYiIiIhkvbBzBDpSgyIHpngsr9xLftC4YNzQWFtRfpCPnzaIwrzI9InC/EBC2SD/3H2IsIOvnX0SBV6QIBAwPjlhWKxPgRegaF44s7n6xhCF+W0HGgrzAxyoa2T0t58HIPrjL2gnQFGYF2T7gTpOuvm5WFt+MMD8L03hDK8Ap4h0PwpQiIiIiEjWi9Q1aCdAYblRJLO+MUz5wGK+M2dMq33yEiz4GQ1qfOXjJ1EUV8wyXocDFA3hWLZFaz4zeTg4mtT+yAsG+MS4IW3ud8WHyujbIx9HZL+aukYeW7qRf+4+pACFSDemAIWIiIiIZLVw2OEcTZYZbUkgkBtTPOobw01WwmhJMBDJoHDOYe2873ghb4pFW9NhokGHl97fyd5DR5dlPX1YX04v7dtknK0FOaJOOK4XN50/qsPjizppUC/+v9mnxrZ3HKjjsaUbcyIDRkRSJ6kBCjPrBzwEjAUc8GXgfeA3QBlQCVzqnNuXzPOKiIiISNexp6ae/3t7WyyDIBpzaHeZUcuNKR51DSH69chvs080WyQUduS1U3AyXjSDoq1sk5LiQgryAjzx+maeeL1pnYupZQNi3x8JtZ9BkSzR4FMuBJhEJHWSnUHxM+B559ynzawA6AncDCx2zt1mZvOAecA3k3xeEREREekinnh9Mz/68/vHtJf279HmfsGgkY0LQzSGwsQ/dtc1tF/bIRqMaQw78tpOYmh2rkgx0bayLvoXF7Div87h8JGjxS1XbNzHgmUbCcf9/M46aSAfO3VQx0/eCcG4gEw2+d0bVfx+1dYmbb0Kg/zgU+Po206QSUT8S1qAwsz6AB8BvgjgnDsCHDGzi4CPed0eA15CAQoRERGRbmn/4SNs2nu4SVvfHvmMLCmObdc1RB6cV317ZqwtEDD6FLX9QBg0a1ILIRus3LSPSx9YGlt+M6pieP8294su0+n3gb2xA6udAPQuyqd33M/z/NOHcP7pbdeNSKXoErLZtrDHb5dv5p0tBzhpUC8AauobWbezhs9PG8mHThyY4dGJdD3JzKA4AdgFPGpm44EVwNeBwc65bQDOuW1mdkwY1syuAa4BGDFiRBKHJCIiIiKZsnV/LfNfraQhLq3h0b9Xttj3lW9+nNL+PYHIQ3Z+0OjXs8DX+YIJFpZMpU17D9MQcnx5ejkDio8GBM4de3yb+wUDkQwLvyt5hMLhdouJZiPv7WbdFI+GkGP88L4suGoaAKs27+eT9/w9FkQTkeRKZoAiD5gIfM05t8zMfkZkOke7nHMPAg8CTJ48ObvuSiIiIiKSkOfe3saDL2+gd2EeeM/MfXvkM3P0YM7zHtBXbd7P3S+uY//hBkq9pIJQ2JEX8F/7IGDZVySz0UsJ+OKHyhhR0rPD++UlOOWhoxkU2Sb6951tNUSONIbpXXT0kSla3LT2SBbOJRLpApIZoKgCqpxzy7ztp4gEKHaY2RAve2IIsDOJ5xQRERGRLBWd1vD6f53T6moQAe9hOj7LojHU/pKiLQkG4HBDiBseXxlrywsaX59xcpMpJOnUGF1Vw0ehSzhak+FIY7hJ0CXQzs8lFHbkB9NT2DKZovGobMuAaQiFKYj7ecYCFMqgEEmJpAUonHPbzWyzmZ3qnHsfmAGs9r6uAG7z/lyYrHOKiIiISPbqyJKX+d6TaXyNhsZw2PcDPcDU8hIWv7eTt7dUAxB2jo17DjNmaF+uPKvc9/GSoSOrarSkwFs9Y9oPFjdpv+XC0XxpeuvvpSGUmxkUsRoUWRagOBIKkx+3kkmPgkiA4tsL3+HW59bE2qefNJC7Pzsh7eMT6WqSvYrH14AF3goeG4AvAQHgt2Z2JbAJuCTJ5xQRERGRLBQNOrT1cB4tBtkYn0ERTiyDYubowcwcPTi2XdcQ4rRvPc+Rxsyl44cSDFDMHn08e8490mTsP//bBt7ffjC23RgKc8MTK9leXRdr27jncCy4kUuSuYrHgboG5v+98pg6EReMG8rooX18HetIY5jCuAyKgb0KuHH2qU1+5ks37OH1f+7t3KBFBEhygMI5twqY3MJLM5J5HhERERHJfo1ewca2lrzM8x7+jsQFKEKhxGpQNBed6pDJAEVjLEjj7/307ZnPv37sxCZtv1tZ1WRqwc6D9Tz39nZOHtSL4/sWATB6aB+mnVDSyVGnn5lhRlJWYXll7W5+8sIH3rUXaWsIObZV13HnZypa3a8hFGZ55b4m1+Kh+sYmU2bMjK98/KQm+930u7f5y5odnR63iCQ/g0JEREREssTXn1jJBztqmrSdOrgXP70sPanoHSnYeDSDIn6KR3KmKQQDRjBgHAllrl5AojUoWlKUF2ySFXD4SCMAX5txMnPGD+308TMtaMlZhSVaz+SFf/8o5QMjtUdm3/kytUfavg6ef2c7X4urXxLVv7jt1WQCBi7LinuK5CoFKERERES6oFDYsXDVVk48rpgTjusFwOa9h/n9qq0c17uwSbHFOeOHMmZo36SPoTHUfsHG6OtNimSGw+Ql4YEeoCAYyGwGRYJTPFpSlB+griH+t/uRB+7igpYLkOaaQMCSsopHS1OLCvMD1De2HaCorm0A4KEvTI4FJcxg9JC2p4UEkhRYEREFKERERES6pOhD+SWTh3PdRyNTBVZu2scVj7zGL5ZujPWrbwyz++ARfnzp+KSPIeQjg2Lphj3Ue2PeuOdwUh7oIVJsMqM1KDpQh6OjivKDvLp+N1O//xfg6LSY4sKu8V/6YLNlYp1zvLFpP/XNakmMHtqHfj1bz2poqThrYV7T4E5LonVQJo3s327WRJNxBwzFJ0SSo2vczURERESkiehUgMK4gokTRvTnre/MbtLv7Dteavc3y4lqCIVjAYjW9O9ZQF7A+MXSjU0CJ2eUD0jKGAryAix8cyuvVe6LtQ3pW8SDl0+K1b9IpWgGRTKmrFz3sRNZ9O72Jm3FBXlUDO/X6WNng2DAeHfrAX71j8h1sHT9Hv7v7W3H9Js5ejA//Jdxse38oNG7KD+2HcugiLv2ivKDHKpvbPP80f3yfRYZNaNJYEVEEqcAhYiIiEgXFM1GKMxrO/0/PxhoMr2iM/65+xB7aupj2zsO1LX7YF7Sq5BlN8/gQF3Th8fj+xQlZUzXfPgEXqs8usJC1b5aXnxvJ3sPH2FQ79bP8dvXN/Pu1uombSNKittdrvQTd/2tyUobIefID7ZdKLSjPn7qID5+6qBOHydbDe1XxKvr9/Dq+j1N2ud/aQo98iPX8f8uWccLq3fwwuoXYq+bwW+vPZMpZZGg1tGVU44GGgrzAizbcICP3/FSrK0oP8iDl09i+ICewNGMFL/ZLkGzpBT3FBEFKERERESyQ6gBjtS036+DGmoO04caeoUPQu2+Vvv1Cxwi/0hjm306orqukU/9ZMkxc/FPPK5Xu8cuCUJJcbPG0BGo7dSQALh6Sn+untI/tv3Myi3c8uxWGg/tg7zWAxR3/mEZDWEXezCubwxR1xDmsrG9KS5sOejTGHJs3rqVj4zsT8WIo1kNJw5s/2cg8OyVYzlY39CkrVdBPj0KjgYahp47nFdO6hHb3nf4CPf/dT3bt2+DwZHAgtXtpw81BI9UQyDyuPPFif0oCUYuqPpAD/bXO156fxertx2IBSiihVrbq5vSXEBTPESSRgEKERERkWzw0AzY9mbSDjcceKsI+LP31YrfAOwDfti58/UFVrY0bf9g54+dTBcDFxcB97fdb2kACADRB8+g9/XT1vfJw/uZ7/C+4v0pgcF2M0XeV1uGA59t1nZ9EfC89wV8AfhCEfCzo33O8r4AKPswlRf+ho+9/1JsJRSITEmKrvziR8CSU9xTRBSgEBEREckO+zfD8Gkw5pMJ7f70G1Ws3VnD+GFHV+PICwY466SB9GhjlYf5r1YC8MUPlbXap74xzLtbq4/Jjjh1cG/69IjM/d9+oI4H/rqeSycPZ1Q7qx5k0rtbD/DUis1c99ETGdzKNJL6xjC3/WkN54wazPSTBgLwzpZqnn6jig+ffFyTDIoTj+vFwF6FANTUN/LjRe9z/ulDYtMNJLUOH2nkR39+n3PHHs8Z5SUA/G3tLl58byf//ydGNZnmAcBbv4H9m+jp/R1GV0KBjtVMaYmWGRVJHgUoRERERLKCg+NPh2n/mtDeSza8weraA8y7+mO+9lv87jIO1TfyxWnTW+3z9LJN3PzG28e0X1QxlG+ccwoA726t5tHQSj4+ZiqjTjnO1xjSaevqHTz62nI+NfosBpdGgjnvbKnmN69vxnnpEnUNYZ4KlXHCSWOZPm1kZMct1fxixd959L2mD6LnjBrEQ1dMAWDf3sM8+qcljDppHFMmD0/fm+rG7EiIR597nkFDTuOMaZHVat6oWcuj737Af007PxI9iLd1FWx6lV7eyiffefZd/uf/VgORIpmJLNmqZUZFkkcBChEREZFs4Fyk2l8ndg8msH9+MMCabQeZ87+vNGkb1q9H7Nnuve0HCQaMpfPOjhV7/NdfrWDhqq0sXLW1yfH69cwnm0V/Q34krjDo/Fcr+d0bVfSPW7pySN8ixg49mgkydlhf3rplVpMlS//9t6t4+YPdnPXDF4GjNQyK8v0/5EpioqvU/H7lllhR0/e3H8SslZVTzMBBz4I8vn/xWDbtOdzk5dFD/Wf/qAaFSPIoQCEiIiKSFTr3hBMKOwIJBCg+Pan0mPT0HQfqebNqf5O2C8cNYVDclIgfXzqelZua9ulVmMfpcVNMslGB90D7wz+9R//iSDDljU37Ob20Hwu/0noWCUBxYR7FhUe3r/nIifQvblp4oyg/yPQTS5I7aGlVIGCcf/rxvLf9IKu3HYi1nzf2+Db2ilzvc88YmZwxeB+7cNgRSMJysiLdmQIUIiIiIlkj8Yefi7d+AAAgAElEQVSbsHMJJWCcf/oQzj99iO/9RpYUM/KYpTey3ymDezNpZH8O1DVwoC6yYkRJcQEXjvP/MzjzxBLOVDAi4+6dO8lH7+QHEKKZS2HnCKTg+CLdiQIUIiIiItnA0akpHmFHQhkU3c3AXoU8/a8fyvQwJFPMIvOhkiiaNRFyTg9XIp3kb5FfEREREUkRR2d+u+uco/mCBSLSnNHZ6VTNRQODWshDpPP0z5iIiIhINujk003YuYSKZIp0O8nOoIjWoFCEQqTTFKAQERERyRadCDCEHLEVNkSkFSn4iERXC9FSoyKdl9RpUmYWBJYDW5xzF5hZOfAEMAB4A7jcOXckmecUERER6RqSMMVD8QmRdiR/ikc0MPjl+a/HghUBM26YcTLTTlARVRE/kp1B8XVgTdz2D4E7nXMnA/uAK5N8PhEREZGuwblOFslMbJlRkW4lBUUyzzyhhOknlWBmhF2kYO3SDXtY8v7OpJ5HpDtIWgaFmZUCnwC+D/y7RUKJZwOf87o8BnwHuC9Z5xQRERHpOjpZgyKsVTxEOia5AYrRQ/uw4KppTdpO+9afkn0akW4hmRkUPwX+Ewh72yXAfudco7ddBQxraUczu8bMlpvZ8l27diVxSCIiIiLdQ1ireIh0QHqCeIYpPiGSgKT8M2ZmFwA7nXMr4ptb6Nri59Q596BzbrJzbvJxxx2XjCGJiIiI5BZN8RBJvRRM8WiN06oeIr4la4rHdGCOmZ0PFAF9iGRU9DOzPC+LohTYmqTziYiIiHQxnSuSGXaa4iHSvuQXyWzxLOmLg4h0KUnJoHDO3eScK3XOlQGXAS865+YCS4BPe92uABYm43wiIiIiXU4nn2bCznUmAUOk+0hD5CA9YRCRrifVMxW/SaRg5joiNSkeTvH5RERERHJXp6Z4KINCpF1p+oyYmTIoRBKQtFU8opxzLwEved9vAKYm+xwiIiIiXU/npng45wgoPiHSjjRN8QCccihEfFOtZxEREZFskIQimUFFKETalq7iEKpBIZIQBShEREREskLnnmZC4UhauYi0Jz0ZFCLiX9KneIiIiIhIojr+WLN572EOHwnFtusaQpriIdKu9NWgEBH/FKAQERERyQY+pnis2LiPf7nv1WPaK4b3S/aoRLqWNE3xiJxGczxE/FKAQkRERCQrdLxI5v7DRwD4z3NPpaykONY+uax/KgYm0oWks0imiPilAIWIiIhINvDx29Zo17NOGsi4UmVNiPiSpsiBEihE/FORTBEREZFs0cEpHtHnnoDmuYv4k6bPjJlpmVGRBChAISIiIpIVOj7FQ3PbRRKVxike+piK+KYAhYiIiEi26OBvd8POV3cRiUpnkcyUn0Wk61GAQkRERCTTfD8wRfpbmpZMFOla0hE6MGVQiCRAAQoRERGRrNHRKR5eb8UnRHxKVw2KtJxGpMtRgEJEREQk03xGHKK/mNVDkIhP6ZriAWiSh4h/WmZUREREJONiIYeO9Y7GMzTFQyQBaapBofhETmloaKCqqoq6urpMD6VLKSoqorS0lPz8/A71V4BCREREJNN8PslEly8MKD4h4l9aMihUgyLXVFVV0bt3b8rKyjClpyWFc449e/ZQVVVFeXl5h/bRFA8RERGRbNHRKR6qQSGSmDR+aJymeOSUuro6SkpKFJxIIjOjpKTEV1aKAhQiIiIiGedvikfY+esvIlGGpnhIaxScSD6/P1MFKEREREQyLcEnGf1fWiQBaSqSqfiEiH9JC1CY2XAzW2Jma8zsXTP7utc+wMxeMLO13p/9k3VOERERka4hVvWyY739dReRKEtXBoVqUIh/wWCQioqK2FdlZaXvY+zfv5977703+YNLk2RmUDQC/+GcGwVMA75iZqOBecBi59zJwGJvW0RERESO0dFlRiNPPkpHFvFLNSgke/Xo0YNVq1bFvsrKynwfI9EARSgU8r1PKiQtQOGc2+ace8P7/iCwBhgGXAQ85nV7DPhkss4pIiIi0iX4rHqpDAqRBKWpOIRih5IsoVCIG2+8kSlTpjBu3DgeeOABAGpqapgxYwYTJ07k9NNPZ+HChQDMmzeP9evXU1FRwY033shLL73EBRdcEDveV7/6VebPnw9AWVkZ3/ve9zjrrLN48sknWb9+Peeeey6TJk3iwx/+MO+9917a329Klhk1szJgArAMGOyc2waRIIaZDWqh/zXANQAjRoxIxZBEREREspjPZUa1iodIJ6QpQKEEipz13T+8y+qtB5J6zNFD+3DLhWPa7FNbW0tFRQUA5eXlPPPMMzz88MP07duX119/nfr6eqZPn86sWbMYPnw4zzzzDH369GH37t1MmzaNOXPmcNttt/HOO++watUqAF566aU2z1lUVMQrr7wCwIwZM7j//vs5+eSTWbZsGddffz0vvvhi59+8D0kPUJhZL+Bp4BvOuQMdST10zj0IPAgwefJkfZRFRESke/G5Kke0d0ARChGf0pRBgSk+Ib5Fp3jEW7RoEW+99RZPPfUUANXV1axdu5bS0lJuvvlmXn75ZQKBAFu2bGHHjh2+z/mZz3wGiGRkvPrqq1xyySWx1+rr6zvxbhKT1ACFmeUTCU4scM79zmveYWZDvOyJIcDOZJ5TREREpMvo8BQPPfqIJCRNQb3ITBJ9TnNVe5kO6eSc4+6772b27NlN2ufPn8+uXbtYsWIF+fn5lJWVUVdXd8z+eXl5hMPh2HbzPsXFxQCEw2H69et3TIAk3ZK5iocBDwNrnHM/iXvpWeAK7/srgIXJOqeIiIhI1+Azg0JTPEQSlL65FwpPSDLMnj2b++67j4aGBgA++OADDh06RHV1NYMGDSI/P58lS5awceNGAHr37s3Bgwdj+48cOZLVq1dTX19PdXU1ixcvbvE8ffr0oby8nCeffBKIBEbefPPNFL+7YyVzFY/pwOXA2Wa2yvs6H7gNmGlma4GZ3raIiIiIRPn8TatW8RDphLRM8UjLaaQbuOqqqxg9ejQTJ05k7NixXHvttTQ2NjJ37lyWL1/O5MmTWbBgAaeddhoAJSUlTJ8+nbFjx3LjjTcyfPhwLr30UsaNG8fcuXOZMGFCq+dasGABDz/8MOPHj2fMmDGxwpvplLQpHs65V2g97D8jWecRERER6bK0iodIaqVtiodqUIh/NTU1x7QFAgFuvfVWbr311mNeW7p0aYvH+fWvf91k+/bbb+f2228/pl9lZWWT7fLycp5//nkfI06+ZGZQiIiIiEhCEiuSqQQKEb/SM8UjkkGhEIWIXwpQiIiIiGSaz6ISRzMoFKEQ8SVdUT1TDQqRRChAISIiIpJxidWgCCg+IZKYFGc36KMpkhgFKERERESyhr8MCj0FifiVvhoUSqEQ8U8BChEREZFM8z3Fw1vFQxEKEX+in7E0ZFA4RShEfFOAQkRERCTjVCRTJD2iH5oUByhMy4yKJEIBChEREZFM8/kko2VGRTopDdEDBSjEr2AwSEVFBWPHjuXCCy9k//797e5z1113MWrUKObOnZuGEaaeAhQiIiIi2cLvFA+lUIj4k6bPjGGa4iG+9ejRg1WrVvHOO+8wYMAA7rnnnnb3uffee3nuuedYsGBBh87R2NjY2WGmlAIUIiIiIlnD5xSP1A1EpIvSFA/JDWeeeSZbtmyJbf/oRz9iypQpjBs3jltuuQWA6667jg0bNjBnzhzuvPNODh06xJe//GWmTJnChAkTWLhwIQDz58/nkksu4cILL2TWrFmtHq+yspJRo0Zx9dVXM2bMGGbNmkVtbS0A69at45xzzmH8+PFMnDiR9evXt3qczsjr9BFEREREpHN8F8mM/BlQBoWIP7H4RBqmeKT8DJIyf5oH299O7jGPPx3Ou61DXUOhEIsXL+bKK68EYNGiRaxdu5bXXnsN5xxz5szh5Zdf5v777+f5559nyZIlDBw4kJtvvpmzzz6bRx55hP379zN16lTOOeccAJYuXcpbb73FgAEDWj3eiBEjWLt2LY8//jg///nPufTSS3n66af5/Oc/z9y5c5k3bx4XX3wxdXV1hMPhVo/zkY98JOEfkwIUIiIiIhnnswZF9BvFJ0QSlOoMClMGhfhWW1tLRUUFlZWVTJo0iZkzZwKRAMWiRYuYMGECADU1Naxdu/aYQMCiRYt49tlnueOOOwCoq6tj06ZNAMycOZMBAwa0ebwRI0ZQXl5ORUUFAJMmTaKyspKDBw+yZcsWLr74YgCKiop8jcsPBShEREREsobfGhSpHItIV5SuGhSS0zqY6ZBs0RoU1dXVXHDBBdxzzz3ccMMNOOe46aabuPbaa9vc3znH008/zamnntqkfdmyZRQXFzfp19LxKisrKSwsjG0Hg0Fqa2tj/+a0dL6OjMsP1aAQERERybQEp3joIUjEp+hnLMXpDZHTKIVCEtO3b1/uuusu7rjjDhoaGpg9ezaPPPIINTU1AGzZsoWdO3ces9/s2bO5++67YwGFlStXtnj8jh4vqk+fPpSWlvL73/8egPr6eg4fPuz7OB2hDAoRERGRjPM7xUOreIgkRkUyJTdMmDCB8ePH88QTT3D55ZezZs0azjzzTAB69erFr371KwYNGtRkn29961t84xvfYNy4cTjnKCsr449//OMxx541a1aLxwsGg62O55e//CXXXnst3/72t8nPz+fJJ59s9TjNx+WHtZaukSmTJ092y5cvz/QwRERERNLn4A748Slw/h0w9ep2uz/w1/X84E/v8e53Z1NcqN83iXTY334Ci78LN2+Dgp4pO82Fd7/Ccb0LeeSLU1J2DkmuNWvWMGrUqEwPo0tq6WdrZiucc5Ob99UUDxEREZFs0dEpHv66i0hUGj802faLYJFckJYAhZmda2bvm9k6M5uXjnOKiIiI5I5YyKFjvbXMqEiC0jjFI6VnEOmaUh6gMLMgcA9wHjAa+KyZjU71eUVERERyht8imXr0EUlMuopkpv4UkgLKekk+vz/TdExanAqsc85tADCzJ4CLgNVpOHf67HofQg0d7r7ncD3VhxtTOCARERHJFcHa3YwEtlXXsX/bgXb77zxQD2iKh0jCdq6G/NTVoBgZqiSvxtjwjh54c0U4nM/2bVvo369vxgoQOwviAgW+9ulR0Hphy0xzzrFnzx6Kioo6vE86AhTDgM1x21XAGWk4b3r98lNwoKrD3Uu8LxEREZGoHy7ezO9f+FuH+hYEAwQVoRDxJxqUeHhmSk9zV/Sbp1J6GkmihoJ+VE38Jv/sewKZWsT5MEXsdb073N+AYf17pG5ASVBUVERpaWmH+6cjQNHS326TUKKZXQNcAzBixIg0DCkFLvwpNNR2uPvW6lp2HKhL4YBEREQkl4Qtn/MGT+fcYMd+eza0Xw/ygqp3LuJLxVzoMwzCqc1k3l1Tz+Z9h1N6DkmRAzsydur6HkMIDTjF1z6jRg1J0WgyIx0BiipgeNx2KbA1voNz7kHgQYgsM5qGMSXfyf6isEO9LxERERERSZOCnnDa+Sk/zUDvS0T8SUfY/XXgZDMrN7MC4DLg2TScV0RERERERERyRMozKJxzjWb2VeDPQBB4xDn3bqrPKyIiIiIiIiK5w7JtKRUz2wVszPQ4EjQQ2J3pQYikmK5z6Q50nUt3oOtcugNd59Id5OJ1PtI5d1zzxqwLUOQyM1vunJuc6XGIpJKuc+kOdJ1Ld6DrXLoDXefSHXSl61yln0VEREREREQk4xSgEBEREREREZGMU4AiuR7M9ABE0kDXuXQHus6lO9B1Lt2BrnPpDrrMda4aFCIiIiIiIiKSccqgEBEREREREZGMU4BCRERERERERDJOAYokMLNzzex9M1tnZvMyPR4RP8xsuJktMbM1ZvaumX3dax9gZi+Y2Vrvz/5eu5nZXd71/paZTYw71hVe/7VmdkWm3pNIa8wsaGYrzeyP3na5mS3zrtnfmFmB117oba/zXi+LO8ZNXvv7ZjY7M+9EpGVm1s/MnjKz97z7+pm6n0tXY2b/5v2f5R0ze9zMinQ/l1xnZo+Y2U4zeyeuLWn3bzObZGZve/vcZWaW3nfYMQpQdJKZBYF7gPOA0cBnzWx0Zkcl4ksj8B/OuVHANOAr3jU8D1jsnDsZWOxtQ+RaP9n7uga4DyI3UOAW4AxgKnBL9CYqkkW+DqyJ2/4hcKd3ne8DrvTarwT2OedOAu70+uF9Ni4DxgDnAvd6/w6IZIufAc87504DxhO53nU/ly7DzIYBNwCTnXNjgSCR+7Lu55Lr5hO5FuMl8/59n9c3ul/zc2UFBSg6byqwzjm3wTl3BHgCuCjDYxLpMOfcNufcG973B4n8Z3YYkev4Ma/bY8Anve8vAn7hIv4B9DOzIcBs4AXn3F7n3D7gBbL0xifdk5mVAp8AHvK2DTgbeMrr0vw6j17/TwEzvP4XAU845+qdc/8E1hH5d0Ak48ysD/AR4GEA59wR59x+dD+XricP6GFmeUBPYBu6n0uOc869DOxt1pyU+7f3Wh/n3FIXWSXjF3HHyioKUHTeMGBz3HaV1yaSc7y0xwnAMmCwc24bRIIYwCCvW2vXvD4Lku1+CvwnEPa2S4D9zrlGbzv+mo1dz97r1V5/XeeSzU4AdgGPelOZHjKzYnQ/ly7EObcFuAPYRCQwUQ2sQPdz6ZqSdf8e5n3fvD3rKEDReS3N3dHarZJzzKwX8DTwDefcgba6ttDm2mgXyTgzuwDY6ZxbEd/cQlfXzmu6ziWb5QETgfuccxOAQxxNB26JrnPJOV66+kVAOTAUKCaS7t6c7ufSlfm9rnPmeleAovOqgOFx26XA1gyNRSQhZpZPJDixwDn3O695h5cOhvfnTq+9tWtenwXJZtOBOWZWSWQq3tlEMir6eSnC0PSajV3P3ut9iaRd6jqXbFYFVDnnlnnbTxEJWOh+Ll3JOcA/nXO7nPt/7N13nJxluf/xzzVbstn0BqSygYQaIIEAoYogIIIE/AGiHAQFAQVEPJboOYoeQVHxYDn0JlKkK00UpEoLJBAgECC9kd432T7X74/nmcnM7uzOzuzM7Ozu9/168co+9zzlnmdmh72vue7r9gbgEeBQ9Hku3VOuPr+XhT83by86ClB03JvA+LBycDlBsZ3HOrlPIu0WzsO8DZjj7v+b8NBjQKzy7znAowntXwmrB08BNoUpZ/8EjjOzQeG3G8eFbSKdzt1/6O6j3L2K4HP6OXc/C3geOC3crfn7PPb+Py3c38P2M8Oq8GMJiky9UaCnIdImd18JLDWz3cOmY4AP0Oe5dC9LgClmVhn+DRN7n+vzXLqjnHx+h49tMbMp4e/NVxLOVVRK0+8ibXH3RjO7hODNUALc7u7vd3K3RDJxGHA28J6ZzQrbfgRcDTxgZucR/DFwevjY34HPERST2gZ8FcDd15vZzwmCdgD/4+7NC/2IFJsfAPeZ2ZXA24TFBcN/7zKzeQTftJ0J4O7vm9kDBH8MNwIXu3tT4bst0qpLgXvCL00WEHxGR9DnuXQT7j7dzB4C3iL4HH4buBl4En2eSxdmZn8BjgKGmtkygtU4cvn3+DcIVgrpDTwV/ld0LAggioiIiIiIiIh0Hk3xEBEREczsKTM7p5XHzMzuMLMNZtblU6DN7Kdmdnf48xgzqzazks7ul4iISE+nAIWIiEiRM7NFZlYTDqQ3mNmTZjY6/ZFgZkeFqaKJbfEBeoy7n+Dud5La4cCxwCh3PyirJ7H92uea2csdOUcuufsSd++bi9RuM9vNzB41szVmtt7M/plQD0JERETSUIBCRESka/i8u/cFhgOrgD8W8No7A4vcfWsBr5lSQpX+YjSQoHDZ7sCOBAX3irIImYiISDFSgEJERKQLcfdaguUj94q1hVXorzGzJWa2ysxuNLPeZtaHoAjWiDD7otrMvkxQCPeL4fY74TleMLPzm18vLMx1K3BIuP/PwvaTzGyWmW00s1fNbN+EY6aZ2Xwz22JmH5jZqWH7nsCNCefamOrazbMszMzN7GIzmwvMDdv2MLNnwkyFj8zsjNbumQUrbb0Y9ucZYGjCY1Xh+UsT+nJl+JyqzexxMxtiZveY2WYze9PMqlp5bd5w99vcfX24/OG1wO5mNqS1vomIiMh2ClCIiIh0IWZWCXwReD2h+VfAbsBEYBwwEvhJmPFwAvBJOI2hr7vfC/wCuD/c3q+t67n7bcBFwGvh/leY2f7A7cCFwBDgJuAxM+sVHjYfOAIYAPwMuNvMhrv7nGbnGpjBUz8FOBjYKwy8PAPcC+wAfAm43sz2buXYe4GZBIGJn7N9ybbWnEmwutFIYFfgNeAOYDAwh6CyenscCax093Xt3F9ERKRHU4BCRESka/hbmHGwmaAexG8gKGAJfB24PPzmfgtBAOLMPPbl68BN7j7d3ZvC2hV1wBQAd3/Q3T9x96i730+Q9dCh2hXAL8PnVwOcRDDl5A53b3T3t4CHgdOaH2RmY4ADgR+7e527vwQ8nuZad7j7fHffRJCBMt/d/+XujcCDwKR0nTWzUcB1wHcyeZIiIiI9WTHP4xQREZHtTnH3f4WrTUwFXjSzvYAoUAnMDGIVABiQz1UpdgbOMbNLE9rKgREAZvYVgoF5VfhYXxKmVWRpabPrHxybIhIqBe5KcdwIYEOz+hmLgbaKjK5K+LkmxXbftjpqZsOAp4Hr3f0vbe0rIiIi2ylAISIi0oWEq008YmY3Eayu8QjBoHlvd1+e6pB2tmViKXCVu1/V/AEz2xm4BTiGYCpHk5nNIgiatHbtrQRBlpidUuyTeNxS4EV3P7YdfV0BDDKzPglBijGt9KPDzGwQQXDisVT3R0RERFqnKR4iIiJdiAWmAoOAOe4eJQgIXGtmO4T7jDSz48NDVgFDzGxAwmlWAVVmlu3fAbcAF5nZwWF/+pjZiWbWD+hDMPhfE/blq8CEZtceZWblCW2zgC+YWaWZjQPOS3P9J4DdzOxsMysL/zswLMKZxN0XAzOAn5lZuZkdDnw+y+fdJjPrD/wTeMXdp+XjGiIiIt2ZAhQiIiJdw+NmVk1Qg+Iq4Bx3fz987AfAPOB1M9sM/ItgqUvc/UPgL8CCcMWNEQR1FADWmdlbmXbE3WcQ1KH4P2BDeO1zw8c+AH5LUFhyFbAP8ErC4c8B7wMrzWxt2HYtUB/ufydwT5rrbwGOI6iz8QmwkqBQaK9WDvkyQYHN9QQFLv/c3ueaoVMJ6l18NWHVlOqwDoaIiIikYe55yXAUEREREREREWk3ZVCIiIiIiIiISKdTgEJEREREREREOp0CFCIiIiIiIiLS6RSgEBEREREREZFOV9rZHWhu6NChXlVV1dndEBEREREREZE8mDlz5lp3H9a8vegCFFVVVcyYMaOzuyEiIiIiIiIieWBmi1O1a4qHiIiIiIiIiHS6osugEBERERGR7mX91nq21Tcmte3Yv4KyEn1fKiLbKUAhIiIiIiJ5M2/1Fo699iXck9unThzB78+c1DmdEpGipACFiIiIiIjkzdINNbjDpUePY/TgSgCuf34ea6vrOrlnIlJsFKAQEREREZG8qa4NpnacvN8Ixu/YD4AH3lzaIqNCREQBChERERHpctZW13HC7//N5pqGpPbTJ4/iylP26aReCcDPn/iAV+evi29v2lYPQN8KDT1EpG05/ZQws8uB8wEH3gO+CgwH7gMGA28BZ7t7fS6vKyIiIiI9y7INNazZUsfn9tkpPm3gyXdXMHv55k7umTzx7ieURiLsNaI/AKMG9eYze+3Ijv0q4vuYoQwKEWkhZwEKMxsJfAvYy91rzOwB4Ezgc8C17n6fmd0InAfckKvrioiIiEjPU9fQBMCXD9qZw8cPBeDDFVvYuE3fg3W2pigcvccwfvkFZbKISGZyva5PKdDbzEqBSmAFcDTwUPj4ncApOb6miIiIiPQw9U1RAHqVbf9ztiRiRPWtfKdrikYpjVib+xiGoxdLRJLlLEDh7suBa4AlBIGJTcBMYKO7xxY9XgaMbH6smV1gZjPMbMaaNWty1SURERER6abqG4MARXnJ9j9nIwZRzRvodI1RpyRNgEJEJJWcBSjMbBAwFRgLjAD6ACek2LXF/zXc/WZ3n+zuk4cNG5arLomIiIhINxULUCRmUJgpg6IYRNsToFANChFJIZdFMj8DLHT3NQBm9ghwKDDQzErDLIpRwCc5vKaIiIiI9ACvzlvLzMUb4tsfrtwCtMygcI16O11j1NNO8RARSSWXAYolwBQzqwRqgGOAGcDzwGkEK3mcAzyaw2uKiIiISA/w08ff5+NV1UltgyrLGNqvV3w7YqYpHkWgKepE0tagSJFWLSI9Xs4CFO4+3cweIlhKtBF4G7gZeBK4z8yuDNtuy9U1RURERKRnaGhyTtp3OL/74sR4W8QsaSAc0RSPotDkyqAQkezkMoMCd78CuKJZ8wLgoFxeR0RERER6lmg46C0tab2EmllQ/0A6TzTquJO2BoUZeLRAnRKRLiOnAQoRERERkXxoijoRa3vQ25WneCxdv4011XVJbaMG9maH/hWd1KPsNIX3vyTNayUikooCFCIiIiJS9NxJW9cgWGa0QB3KodqGJo699kVqG5JTCkYO7M0r047upF5lpyl8AUpK0tWgMBylUIhIMgUoRERERKToRd1JV9YgEumaGRQbtzVQ2xDl3EOrOGr3YQDcM30Jr89f18k9y1xjGKBQDQoRyYYCFCIiIiJS9JqinrauQcSMrhCfmLtqCy98tCa+vXZrMLVjctUgjtp9BwD+PXctr85b2yn9y8RbSzZw04vz45krjU1BVkS66ThmdInXSkQKSwEKERERESl6UQdLW4OCLpFBce2/Pubv761MaisrMXYZ2je+XRKxeD2HYvbkuyt45oNV7L5T/3jbvqMGMLlqcCf2SkS6KgUoRERERKTotWuKRxcpklnf6OyxUz8e+sah8bbSiFFRVhLfjpgR7QIlGrbVNzG4Ty+euuyIjI4zg+J/pUSk0Ey9XY4AACAASURBVBSgEBEREZGiF3VPuzKEmXWZIpkRM/r2av1P8ZJI52eDvL5gHTMXb0hqG9KnnC8eODqezVJT30jv8taXfm2NoRoVItKSAhQiIiIiUvSaot6uKR7eBTIowEm3CmfEOn+Kx08enc3Hq6pbtDe5s2O/YPnTJeu3UVmW3ZCia7xWIlJIClCIiIiISNFzp11FMrtKBkU6sYKf7ukDM/myrb6Jk/cbwW9O3xeARWu3cfzvXuK//jo7ab8jxg/N+Nyd9JREpMgpQCEiIiIiRa99NSjST4tYv7WeS+59i611jUnte+zUn6mTRsS3e5VGmDh6UNqgSDbc0w/QY9eNOpR0sAuL123lveWbktoG9C7j8HFD2wx+NDRF6V1WQq/SoDbG7jv144XvHsWW2uR7t/PQyqz61U1iSSKSQwpQiIiIiEjRa4o6kTTBAjMjmiaF4uNVW3h1/jr2Gz2QQZVlALw8dy3vLNvE/TOWJu17/Vn787l9hnes4yk46WswxJ5qe5ZXTec7D7zTopYEwNOXH8luO/Zr9bj6xijlpcn1JaqG9ulQX0RE2qIAhYiIiIgUPfdg2kNbSiLBtIi2xDIspn12Dw7ZdQgAW+samb18U/wb/TVb6rj0L29T3SxToJAi8QyKjucZrNlSxzF77MC0E/YA4P1PNvPt+2cxZ8Vm+lVsHw4M7lMez5aA1AGKXFIJChFpTgEKEREREcmLuau28NunP6YxYb1MM+PCI3dhctXgjM7VlKMpHrGHE8/Vp1cpB+8yJL69bMO2jPqWqaCuRNv7xFYsacqwqMYnG2u4/eWFNCYct3pLLUftPozxYbZELAhx2X2zko49aOxgHrjwkPh2fVP+AhSdVVdDRIpbTgMUZjYQuBWYQJC99jXgI+B+oApYBJzh7i1zzERERESkW3n+o9X84/2V7Dm8fzwg8P4nm3nmg1VJ0xYG9C7jmcuPZEjfXq2eqz3LjEYixtb6Jg74+TPxttIS43dfnBTPlogN+NuaNhEbPHueqiS056wlWWZQPDV7Jbe+vJD+FaXx59G7rCQpIDRmSCU3n30A67fWx9uefG8FMxdv4NpnPo63NTQ55SV5zKDI25lzZ/qCdTz34er4tgPzV1dT3ayGycG7DOE7x+5W4N6JdD+5zqD4PfAPdz/NzMqBSuBHwLPufrWZTQOmAT/I8XVFREREerTH3vmE215emNRWURrhN6ftx5gh2RUx7KiGpmAI+ujFh8W/iX957lpeX7Auvs/CdVt58t0VrNhU22qAwt3DwpJtByj+3/6jqKlvig/q6xujPDBjGXNWbI4HKGKPtecb/HxOQUh39Vj/EpJP2qW+MTjgjf/6DBVlJa3ud9zeOyVt9y4v4ZV5a/n9s3PjbRGD8Tv2zawD7WTQJeZ4/OG5ubw6fx29EjJJKspK2HVYX0rDINKCtVtZtG6rAhQiOZCzAIWZ9QeOBM4FcPd6oN7MpgJHhbvdCbyAAhQiIiIiOfX0+yv5eOUWDhobfFNeU9/E9IXreXvphk4LUMQGy2UJy1AcPn4ohycsS/nSx2t48t0V1DU2tXqe2GyFdMUid9uxH/8zdUJ8e3NtAw/MWJaUhZBqikdz+Z584E7aZTxit6wpw0F8Q1Nwz0szLKw5deJIpk4cmdExubZiUw3LN9Qkte3Qr6LT3r8AdQ1RDtllCPd+fUqr+/zwkfd45oNVBeyVSPeVywyKXYA1wB1mth8wE7gM2NHdVwC4+woz26H5gWZ2AXABwJgxY3LYJREREZGeob4xys5DKrnzawcBwWDvkF8+x7b61gf++dbQFKWsxNrMVoh9M13XsD1V4NX5a7nqyTkt6i9kuphFrKhmYoAi9nPbUzyCfzvz+/1sp3g0NkUxSx/M6WxmLe/vaTe8xvKNyQGKirIIs35yXJvZIPnU0BSlT6+2h0wlkdwUMxWR3AYoSoH9gUvdfbqZ/Z5gOkda7n4zcDPA5MmT9dstIiIikqGGZgUNK8uCP/M6P0DRdg2DWJ/rGrcHKF6eu5Y5KzbzmT13jLftMqwPxyRst8f2QpPb26LxDIrOm+IRLDPatu1TPDLrRH2TU1YS6ZJFKDfXNnDcXjty9iE7A0F2zS3/XsjS9dvYaUBFfL++vUoL9vzq2rGSSWkkQmNThnNxRCSlXAYolgHL3H16uP0QQYBilZkND7MnhgOrWz2DiIiIiGSlvlkwoHd58I3z/W8uYcai9fH23Xfqx7c/U5i58u1ZpjK2okRigGJzbQODKsu5+SuTO3T9SHjpxG+3Y1kZbY1vLc+TPNq1ikeYAXHDi/PpF/sG34xTJo5gl2Gt14VobIpSVuTZExAEaFIFgEYO6s0R44cB0Njk3PLvhRx77UtJ+3ztsLH85PN7FaCXYeAvTZAtYkaGcSQRaUXOAhTuvtLMlprZ7u7+EXAM8EH43znA1eG/j+bqmiIiIiISaGhMXnGhvDTCifsOZ+6qLcxfUw3Auup6/vH+Sr519HgieRjE1jU2UZswVWNrfVPaDIpeZcHjP3/ig3iBxk821jCosqzD/Um1VKeHo+K2Mii2T/HovFHn2KF96FUa4U+vLoq3ucOGrfX8/JQJrR7X0BSlLE9Lg+adJweHDh03hKtOnUBNQhbQbS8vZPG6rQXrUnuWWi0tsaSldEUke7lexeNS4J5wBY8FwFeBCPCAmZ0HLAFOz/E1RURERHq8uqYoA8qTB/XXfXn/pO2bXpzPL5/6kJqGprTz6jO1rb6RQ375HJtqGpLaxwxuu8DhmMGVnHngaNYlLHk5alBvjtxtWIf7FMtCSAxQtLfgJiR/w7+tvpHb/r2QbQ3JU2Y+u/dO7Dd6YMZ9S3f1KbsM4aMrT0hqO/xXz7G12fKWm2oa2JxwzzfWNKQNChUDM2sRAGpeO7RXaQlnHbxz0j5PvLuC+jxNp2iKOu8u2xgv7gqwta4pqchrKhGzjFdbEZHUcvp/JnefBaTKxTsml9cRERER6clqG5p4cOYyauq3D1ZXbqphWCvLdMZUhkGJrfWNOQ9QbK5pZFNNAyfuO5z9xwyKt08Y0b/N48pKIlz9//bNaV9izAyz1EUyM13F481FG/jtMx9TGrF49kV9U5SFa7Zy49kHZNSvbGtb9C4roSYhQLKltoEpv3g2qQ2gqhNXvegIb8eNKS+JxFcqybWnZq/gknvfbtE+sLK8zeNKI8qgEMmVXGdQiIiIiEievbFwPT/+2+wW7VMn9mnzuFgtg2P/96WkDILLPzOesw+p6lCfYoPGT+02jDMmj+7QuXIpqA/QMkDRZpHFFKt4NIUD0Ie/cWg8Y+Jzv/83jVkWH8imyGNleQnVdY3xb/iXrN9GTUMTXzlkZ/YZOSC+357D2w4KFYPWalCkuytlpZa04ksubQizeG78j/3pX1EW79B+o9rOkIlEghoUQW2R4q//IVLMFKAQERER6WJiwYD7LpiSNDCtLG97KcYjdxvG+YePTSpI+be3lzNz8YYOByhi0yhKi6xAY4lZs1U8PN7emngdBE+sXdFyv0iWy0s6nlUZzj69Svn33LXs9t9PJbV/bp/hTNllSBZnLC7Np3ikUlYSobq2se2dshT7vThs3FD6VbS/BkppwlSi0jTTQUSkbQpQiIiIiHQxsTFxZXlJRlM1Bvcp579PSl794JX5a2nIwRIEsRT30iKrf9A8iBDLxG/PMqOJYqdIPCwIfhSukOa0E/bg33PXJrX1KS/hgJ0HtXJE8TJrGfRxT59ZUlYSob4pP/c8FqCIrSzTXvFaJ+4aXIl0kH6HRERERIpBzUbYsrJdu1ZuWsc4W0bFhrlQ3q9Dlx3HMobVVMDqjtUtiKytZpwtY2B1f1i9uUPnyqXdbDmDtkZhdTCI7LN5JeNsGWXrP4Km3imPKd1WzzhbRv/qClhdGxyX4p6PiS6lsr4EVmc2pWJE/eIgoLN6cEbH7VsO++7dvLUR1n2c0XmKwfD6xZQ01cHqD+Ntu7CUoTXbX6tURjcuJlq/DVZ3oIhq/xFQ0fI1q2towoy0RTGbS1WMVUSyY+0pRlNIkydP9hkzZnR2N0REREQK648HwLp5nd0Lke5vxCS44AVeX7COFZtq4s2Pv7OCV+ev5cOfn9D6sSnc8tICrvr7HF747lHxjKaIwZA0RWtFejIzm+nuLRbYUAaFiIiISDHYtg52PRomnZ1213eWbeTmlxbyg8/unnYZz3R+8/RHVJSVcOmnx3XoPIvWbeM3//yIbxy1CxNGDEh/QIF8/+F3mbzzoHjhzpfnr+Uv05dy1SkTGFiZus7AltpGpj3yHqdPHsVR4XKnqe75tc/MxSLw7WPGZ9Sn3z87l2gULj82s+O6kxtfXMD6bfX86IQ94m3fvn8Wn9p9GKdOHNnqcTMWb+DZOavj21F3lm2oabFfr9II15y+X3y1llfmr+Xlues4sfZxhq38hLP+90Xmra5ucdzOWayAUlEWTGs66poXktqv+PxefPWwsRmfT6QnU4BCREREpBi4w+BdYcIX0u660lbyZHQm3xx3OHQwGPDmy68RicClEw7p0HnWLV7Pk9FBnFF1EOzWgfT7HPvXX/tRPnAnzpiwDwCLty7myehsrtjjGOhfkfKYhq31PBntw4E77gUTggFm7J5/Y9fDISxM+vorr+HAtxPu3Xfun8VHq7YknW+Pnfrz2zP2i2+/9uprRB0u7+A978pmvjWDpQ3b+NGEI+Ntf7+vNzsNGQsT9mj1uMkTYPKJyW3LN9awenNtfPvJd1dw68sLuWLX4xgQBqH+79XX+XDbZo7oPYOdatcyZnAlVUMqufBTuyYtzzu0X+ZZD1MnjaSsJJJUy+Vnj73Pyk21bRwlIqkoQCEiIiJSFDz9EgaxPXM4QzdXyzY2hIULy4psFY9Ii1U8gn/bKsYYeyTxNqcskhmx+JKfwT7OI28vZ5ehfdhlWLDk67zV1Tw6a3lSgKLIZlgXjyzvy8iBvRk5cHs9kcXrtgFwyNXPxouhbq1v5IQJO3Fo5TBYVM7t5x7Y4e7G9K8o48yDxiS1XfXkB9k+HZEeTQEKERERkaLR3sG9h3t3PBhQGomwrLqGJ979JN5WWV7Cp3bbIV78L5VlG7Yxa+nG+PbHK4OsgbaO6QylEeOxWcv599w1AFTXBUtUZtvNxHteErGkFUJiRRJPnTSSS8NpH7/554fc+OKCFOfp2Vp7/hkurpLSp3ffgYs/vSu1zQJvUyeOgDcLc+cNo9hq/Yl0BQpQiIiIiBQDJ+PRWS4Gc8P69eLFj9dwyb1vJ7Xfd8EUpuwypNXj/uuvs3nx4zUt2of0Le94p3LoW8eMZ8bi9UltIwb0ZnCf1vsZu6/J40tPeiz42Uhc8bIxDFAkLrWaaqDqZB8g6c4cz0ngZkBlGd87vpVpIjNSrG+aB7n43RTpiRSgEBERESkKTnu/V0813SBbV506gQuP3CW+PW91Nd+45y221Da2edzm2gYm7zyIX35hn3hbn16ljBiYeunOzvLlg8fw5YPHpN8xQSxLIu0UD4NoQt2BhnAuSWlC9MEs65kL3ZqliBMUJuHAKMQrYmgqj0g2FKAQERERKQaeQQ2K8N9cTPHoVVrC+B37tTh3Ym2FVGoboowa1Dvp2O4mMfMh1Viz+RSPxqZYBkVCgIIUA1VvuwZGT5VFElHmChQ5MDMFpkSyEEm/S/uZWYmZvW1mT4TbY81supnNNbP7zay4cv5EREREikb7hzO5zKBorjycnlDX2NTmfnUNTfQqzemfksUjxX2N33MSsyMsXncCUk/xSPUiOd7jpwAYhqd4z+ci6JaeMihEilWu/69yGTAnYftXwLXuPh7YAJyX4+uJiIiIdA+ewRSPPA6wepUFfx6my6Coa4xSUVaSt350praCB8lTPJplUESDe5ZqJRMVTEzPvRCBm8LUoID8/p6KdFc5m+JhZqOAE4GrgO9YkLd2NPDlcJc7gZ8CN+TqmiIiIiLdR+bLjOZjLBfLoKhPWJvz7SUb+M8H3qEhur1txaYaKsq6aQZFKHEc6/GVU7YLpnhs394+xSOxSOb2cyUW3+zxGRSpalAU6sKFuFLh4iAi3Uoua1D8Dvg+EJuIOATY6O6xCkvLgJGpDjSzC4ALAMaMyayIkYiIiEi3kMVoJh+D3F5hVsSv//ER//fcPAC21TdR29DEyfuNiO93YBWcdsDo3HegCKS6ramm1Vg7i2RCs4KbOepnd+NeiOVXC7SKR96vINI95SRAYWYnAavdfaaZHRVrTrFryk8Dd78ZuBlg8uTJ+swWERGRHijzIpn5GAb17VXK9z+7O0vXb0tq33vEAP5jys45v14xihWwTEzRb61I5tIN2zju2heB7dNikotkhudqNoWnMLUWilerq5vkO7WkQBkUZi2XlxWR9HKVQXEYcLKZfQ6oAPoTZFQMNLPSMItiFPBJjq4nIiIi0g21d4pHON0gT2O5bx41Lj8n7mKSpnjEN7bf9NMOGNWiVsekMYM4qGpwfDtlBkVBai10TQXJoCgALS8rkp2cBCjc/YfADwHCDIrvuvtZZvYgcBpwH3AO8GguriciIiLS7agwQdFo61VIfImOGD+MI8YPa9e59GV6MiM5w6Bg2Qapil/k4zLoNRfJRr4rG/2AoGDmPIKaFLfl+XoiIiIiXVQGq3jksUimpM56iD+W9bnani7S0+Vz6dxkBZzioVdaJGO5LJIJgLu/ALwQ/rwAOCjX1xARERHpdjLIoIivKKGMi7xKnuIR/JvpPY/Xs2h2rh7/2rUyBSLvtTkKmEEhIpnr3mtDiYiIiHQZWazikYdeSOpBsr4Nz694hY+CvKkLkUGhKR4i2VCAQkRERKQYeBZTPBShyIuU0zKynFaT6jVq/yvdfRkkxQkKt+JFoSIHppCWSBYUoBAREREpChlM8YgPlnv6MDe/Uo1jMw0KbV9mNM2Je7iWa6TkScGWGdXLLJINBShEREREikEmGRT57YmkkG1QKFU2RmJ7TxUUkUzVnvcrF/AXSL+pIpnKeZFMEREREclGJhkUsSKZ+exPz9XatIzWHmvzXLHjE6czoCkezWVbhDRjhcqgQBkUXU1DQwPLli2jtra2s7vSrVRUVDBq1CjKysratb8CFCIiIiJFQ8PWYrB9WkZiDYrsRpttLVnakwUD+MSlVwtYg6IQV9EUjy5n2bJl9OvXj6qqKq2ykyPuzrp161i2bBljx45t1zGa4iEiIiJSLNq9zGhGu0sOdHSsmRzs0DKjnfb0C7bMqGnlly6mtraWIUOG9PjfzVwyM4YMGZJRVooCFCIiIiKdzTMsEViodPgeKp71kFTYMvmxdp8rlo2RdCpXrgzN7knBVqZRkUxpnT5Tcy/Te6oAhYiIiEhny3B0pm9m8yteNyLVYxn+sZ0y2CGtBmjyvjJNwTIoNK1HJBsKUIiIiIh0usyGMttXlJBCiQWFsr7niUUy218PtVtzT/1zAa6c9yvom3jJRklJCRMnToz/t2jRoozPsXHjRq6//vrcd65AVCRTREREpLNlOMVDNSjyKza4TDWAzniKR+xcJNeg6OlaG8AX5D1doBdAr7Nkqnfv3syaNatD54gFKL75zW9mdFxTUxMlJSUdunYuKEAhIiIi0umyG/3mPR2+h9o+xSNxlYkOnqvFCfTaJd/fDmaotFehlhk1TcXqyn72+Pt88MnmnJ5zrxH9ueLze2d8XFNTE9OmTeOFF16grq6Oiy++mAsvvJDq6mqmTp3Khg0baGho4Morr2Tq1KlMmzaN+fPnM3HiRI499lhOPPFErrnmGp544gkALrnkEiZPnsy5555LVVUVX/va13j66ae55JJLOPDAA7n44otZs2YNlZWV3HLLLeyxxx45vQ/pKEAhIiIi0tkyzaAoWEHBni1lBkWGQ+hUy4w6eu2aP/2CFsksRA0KFaGQLNTU1DBx4kQAxo4dy1//+lduu+02BgwYwJtvvkldXR2HHXYYxx13HKNHj+avf/0r/fv3Z+3atUyZMoWTTz6Zq6++mtmzZ8czMV544YU2r1lRUcHLL78MwDHHHMONN97I+PHjmT59Ot/85jd57rnn8vqcm8tZgMLMRgN/BnYCosDN7v57MxsM3A9UAYuAM9x9Q66uKyIiItL1ZVZUomDfNvdQbQ2SM1/FI+DK928hKQBUqIsWKoMCU3yiC8sm0yEXUk3xePrpp3n33Xd56KGHANi0aRNz585l1KhR/OhHP+Kll14iEomwfPlyVq1alfE1v/jFLwJQXV3Nq6++yumnnx5/rK6urgPPJju5zKBoBP7T3d8ys37ATDN7BjgXeNbdrzazacA04Ac5vK6IiIhIN5FZBoXkx/a6EdtlGxRKeS7XMqOtJTLkf9pS4e68glKSC+7OH//4R44//vik9j/96U+sWbOGmTNnUlZWRlVVFbW1tS2OLy0tJRqNxreb79OnTx8AotEoAwcO7HANjI7K2Soe7r7C3d8Kf94CzAFGAlOBO8Pd7gROydU1RURERLqFjJcZDfX4UW6eJQwwM5yFE9faS9rTp3g0FxvM5/2+FGqZUdMMD8mN448/nhtuuIGGhgYAPv74Y7Zu3cqmTZvYYYcdKCsr4/nnn2fx4sUA9OvXjy1btsSP33nnnfnggw+oq6tj06ZNPPvssymv079/f8aOHcuDDz4IBL+T77zzTp6fXUt5WWbUzKqAScB0YEd3XwFBEAPYIcX+F5jZDDObsWbNmnx0SURERKSIZTf6VZHMwsl9kcyerfl7t3C3p1BTPPSaS26cf/757LXXXuy///5MmDCBCy+8kMbGRs466yxmzJjB5MmTueeee+LFLIcMGcJhhx3GhAkT+N73vsfo0aM544wz2HfffTnrrLOYNGlSq9e65557uO2229hvv/3Ye++9efTRRwv1NONyXiTTzPoCDwPfdvfN7VkD2N1vBm4GmDx5sn6VRUREpGfJtEJgob5t7sFafAMeu+dZplA0X2ZUwaVkBRvMFyyDQjUoJHPV1dUt2iKRCL/4xS/4xS9+0eKx1157LeV57r333qTtX//61/z6179usd+iRYuStseOHcs//vGPDHqceznNoDCzMoLgxD3u/kjYvMrMhoePDwdW5/KaIiIiIl1fZkOZLGcbSIZS1kjIskhm4kus5SdjcYKW96E9X252XKEyKPQ6i2QqZwEKCz5NbgPmuPv/Jjz0GHBO+PM5QOHzRERERESKWdbLjCpEkS8tlsFspT3teVIsM5rYLqHMFrLpgMJkUKAaFCJZyeUUj8OAs4H3zCxW+vNHwNXAA2Z2HrAEOL2V40VERER6qAyLZOqb2bwLUvRbFsnMNiiUtKSmK0DRvBJEfJWUQhTJLFAGhYhkLmcBCnd/mdZ/F4/J1XVEREREup1MMygy2luylRxUyG5QG6s1oWkdbStczK0wvzWmZTxEspKXVTxEREREJBMZFskkq90lAzmf4pFUg0JFMlurVZn3u5LqBcnHZVBQSiQbClCIiIiIFI0Ma1D08EFuPrX2BXi2RTKTpjMEy3hIgngAKP9zPPJ8/vAqBSp1IdLdKEAhIiIi0tkyXGY0Pu7RIDevmteNgMyDQtu/sNdoNZHRvMZHIWtQUIAMClOAQjJWUlLCxIkTmTBhAp///OfZuHFj2mP+8Ic/sOeee3LWWWcVoIf5pwCFiIiISKfLdBUPjXzyrXkgItugULwGRYspHpKocO/oVDkt+aEpHpKp3r17M2vWLGbPns3gwYO57rrr0h5z/fXX8/e//5177rmnXddobGzsaDfzKpereIiIiIhINjLMoIhRDYo8MlJ+w5/NeVrQuLX716DQFI+u7alpsPK93J5zp33ghKvbvfshhxzCu+++G9/+zW9+wwMPPEBdXR2nnnoqP/vZz7joootYsGABJ598Ml/72te44IILuPTSS3nvvfdobGzkpz/9KVOnTuVPf/oTTz75JLW1tWzdupXnnnsu5fkWLVrECSecwOGHH86rr77KyJEjefTRR+nduzfz5s3joosuYs2aNZSUlPDggw+y6667pjxPRyiDQkRERKSL2T7dQPLFIGUgIesaFM3Olf9aC13L9oVsCnVfCpFBIZKdpqYmnn32WU4++WQAnn76aebOncsbb7zBrFmzmDlzJi+99BI33ngjI0aM4Pnnn+fyyy/nqquu4uijj+bNN9/k+eef53vf+x5bt24F4LXXXuPOO+/kueeea/V8AHPnzuXiiy/m/fffZ+DAgTz88MMAnHXWWVx88cW88847vPrqqwwfPrzN82RLGRQiIiIinS3DZUZjNMgtvMxX8Wi5zKimeLQsQhq7P/m/L4XKoFANii4tg0yHXKqpqWHixIksWrSIAw44gGOPPRYIAhRPP/00kyZNAqC6upq5c+dy5JFHJh3/9NNP89hjj3HNNdcAUFtby5IlSwA49thjGTx4cJvnGzNmDGPHjmXixIkAHHDAASxatIgtW7awfPlyTj31VAAqKioy6lcmFKAQERER6XSZFsks1GCu52oxgI6/RBkGkXLXpe6tUIP5+AuS/2VGlUMhmYrVoNi0aRMnnXQS1113Hd/61rdwd374wx9y4YUXtnm8u/Pwww+z++67J7VPnz6dPn36JO2X6nyLFi2iV69e8e2SkhJqampaneLW3n5lQlM8RERERDpbhhkUWZaskAwEqzAkZj1kFxRKVfLA3fXatbLKRf7vi2pQSPEbMGAAf/jDH7jmmmtoaGjg+OOP5/bbb6e6uhqA5cuXs3r16hbHHX/88fzxj3+Mf3a9/fbbKc/f3vPF9O/fn1GjRvG3v/0NgLq6OrZt25bxedpDGRQiIiIinS7LZUalYLKukRkbDyeeC2VWNLc9RJfnOxP/Hct/gEKkIyZNmsR+++3Hfffdx9lnn82cOXM45JBDAOjbty933303O+ywQ9IxP/7xj/n2t7/Nvvvui7tTVVXFE0880eLcxx13XMrzlZSUtNqfu+66iwsv4S/FQAAAIABJREFUvJCf/OQnlJWV8eCDD7Z6nub9yoQCFCIiIiJdzPYimRoF5Uvzb8CzreG4fZlRhZUSWbMqpIXLCirM74xhCiRKxmKZCDGPP/54/OfLLruMyy67rMUxixYtiv/cu3dvbrrpphb7nHvuuZx77rlJba2db/bs2fGfv/vd78Z/Hj9+PM8991yL/Vs7T7Y0xUNERESks2mZ0aJjtFKDIuNCpuHxzc6lAqfJvFDD+YIuM6oQhUimChKgMLPPmtlHZjbPzKYV4poiIiIiXUeGNSj03WynyTaukJyNodfPSB0jKNgqHgUokqlXWSRzeQ9QmFkJcB1wArAX8CUz2yvf1xURERHpMjLMoFCRzPxrvkxkx4MKycfrpUtWsPd0gTIoCnQJyTFlveRepve0EDUoDgLmufsCADO7D5gKfFCAaxfOv38LtZvbvfuSDdtYvqE2jx0SERGRrqK8aSsHAP+YvZJZaz5Mu/9bSzbkv1M9nAFvLlrP1U8Fr0fsnmdcgyI84JaXFjKoTzkAG7c29PgIhRlsrW+M39/quoagvVA35vlfQElZ3k7/la3LqdnYyGs33ZW3a0hu9dr9WJaXw4B+lZ02BashUkFtab+Mjhk+oHeeetNx7s66deuoqKho9zGFCFCMBJYmbC8DDk7cwcwuAC4AGDNmTAG6lAdv3w2blrd79xFRZ8eoInQiIiISqKY3d88v5415C9u1/+479qMsonJi+bL3yP68tWQjH63aEm/bbce+Gd/zsUP60L+ilL/OSv47cc+d+uekn13VHjv1xx1uf2X7+71fr1KqhvbJ74WH7QFlfeDNW/N6mZOjTjTq8EleLyM51Lj276w84Hss7T+209LTttGLjWQWoNg4sHgDFAAVFRWMGjWq3ftbvtNYzOx04Hh3Pz/cPhs4yN0vTbX/5MmTfcaMGXntk4iIiIiIiIh0DjOb6e6Tm7cXIuy+DBidsD0KxRJFREREREREJEEhAhRvAuPNbKyZlQNnAo8V4LoiIiIiIiIi0kXkvQaFuzea2SXAP4ES4HZ3fz/f1xURERERERGRriPvNSgyZWZrgMWd3Y8sDQXWdnYnRPJM73PpCfQ+l55A73PpCfQ+l56gK77Pd3b3Yc0biy5A0ZWZ2YxUhT5EuhO9z6Un0PtcegK9z6Un0PtceoLu9D7X2lQiIiIiIiIi0ukUoBARERERERGRTqcARW7d3NkdECkAvc+lJ9D7XHoCvc+lJ9D7XHqCbvM+Vw0KEREREREREel0yqAQERERERERkU6nAIWIiIiIiIiIdDoFKHLAzD5rZh+Z2Twzm9bZ/RHJhJmNNrPnzWyOmb1vZpeF7YPN7Bkzmxv+OyhsNzP7Q/h+f9fM9k841znh/nPN7JzOek4irTGzEjN728yeCLfHmtn08D17v5mVh+29wu154eNVCef4Ydj+kZkd3znPRCQ1MxtoZg+Z2Yfh5/oh+jyX7sbMLg//ZpltZn8xswp9nktXZ2a3m9lqM5ud0Jazz28zO8DM3guP+YOZWWGfYfsoQNFBZlYCXAecAOwFfMnM9urcXolkpBH4T3ffE5gCXBy+h6cBz7r7eODZcBuC9/r48L8LgBsg+AAFrgAOBg4Croh9iIoUkcuAOQnbvwKuDd/nG4DzwvbzgA3uPg64NtyP8HfjTGBv4LPA9eH/B0SKxe+Bf7j7HsB+BO93fZ5Lt2FmI4FvAZPdfQJQQvC5rM9z6er+RPBeTJTLz+8bwn1jxzW/VlFQgKLjDgLmufsCd68H7gOmdnKfRNrN3Ve4+1vhz1sI/pgdSfA+vjPc7U7glPDnqcCfPfA6MNDMhgPHA8+4+3p33wA8Q5F+8EnPZGajgBOBW8NtA44GHgp3af4+j73/HwKOCfefCtzn7nXuvhCYR/D/AZFOZ2b9gSOB2wDcvd7dN6LPc+l+SoHeZlYKVAIr0Oe5dHHu/hKwvllzTj6/w8f6u/trHqyS8eeEcxUVBSg6biSwNGF7Wdgm0uWEaY+TgOnAju6+AoIgBrBDuFtr73n9Lkix+x3wfSAabg8BNrp7Y7id+J6Nv5/DxzeF++t9LsVsF2ANcEc4lelWM+uDPs+lG3H35cA1wBKCwMQmYCb6PJfuKVef3yPDn5u3Fx0FKDou1dwdrd0qXY6Z9QUeBr7t7pvb2jVFm7fRLtLpzOwkYLW7z0xsTrGrp3lM73MpZqXA/sAN7j4J2Mr2dOBU9D6XLidMV58KjAVGAH0I0t2b0+e5dGeZvq+7zPtdAYqOWwaMTtgeBXzSSX0RyYqZlREEJ+5x90fC5lVhOhjhv6vD9tbe8/pdkGJ2GHCymS0imIp3NEFGxcAwRRiS37Px93P4+ACCtEu9z6WYLQOWufv0cPshgoCFPs+lO/kMsNDd17h7A/AIcCj6PJfuKVef38vCn5u3Fx0FKDruTWB8WDm4nKDYzmOd3CeRdgvnYd4GzHH3/0146DEgVvn3HODRhPavhNWDpwCbwpSzfwLHmdmg8NuN48I2kU7n7j9091HuXkXwOf2cu58FPA+cFu7W/H0ee/+fFu7vYfuZYVX4sQRFpt4o0NMQaZO7rwSWmtnuYdMxwAfo81y6lyXAFDOrDP+Gib3P9Xku3VFOPr/Dx7aY2ZTw9+YrCecqKqXpd5G2uHujmV1C8GYoAW539/c7uVsimTgMOBt4z8xmhW0/Aq4GHjCz8wj+GDg9fOzvwOcIikltA74K4O7rzeznBEE7gP9x9+aFfkSKzQ+A+8zsSuBtwuKC4b93mdk8gm/azgRw9/fN7AGCP4YbgYvdvanw3RZp1aXAPeGXJgsIPqMj6PNcugl3n25mDwFvEXwOvw3cDDyJPs+lCzOzvwBHAUPNbBnBahy5/Hv8GwQrhfQGngr/KzoWBBBFRESkWJnZUwTV5u9M8ZgBtxNU457r7qpCXwTCosMLgbLwy4xWX0MREREJaIqHiIhIB5jZIjOrMbNqM9tgZk+a2ej0R4KZHRV+S5LY9lMzuzuxzd1PaGNgezhwLDCqo8EJMzvXzF7uyDkktTSvYUbM7Awze9XMtpnZC7k4p4iISDFQgEJERKTjPu/ufYHhwCrgjwW89s7AInffWsBrppRQoK5Lnr8LWU9Q5PXqzu6IiIhILilAISIikiPuXkuwcsJesbawANs1ZrbEzFaZ2Y1m1tvM+hDM/xwRZl9Um9mXCWrAfDHcfic8xwtmdn7z64VzUm8FDgn3/1nYfpKZzTKzjeE37fsmHDPNzOab2RYz+8DMTg3b9wRuTDjXxlTXbp5lYWZuZheb2Vxgbti2h5k9Y2brzewjMzujtXtmZl81szlhfxaY2YUJjx1lZsvM7AdmthK4I2z/vpmtMLNPzOz8sA/jwsf+ZGbXm9lT4fN4xcx2MrPfhRkuH5rZpHT3I3zshnCue2z7V2b2bDitpvnzKAlf57VmtgA4sdnj8fsY3sNXzOza8DVaYGaHhu1LzWy1mZ3T/Box7v4vd3+AIq3ALiIiki0FKERERHLEzCqBLwKvJzT/CtgNmAiMA0YCPwkzHk4APnH3vuF/9wK/AO4Pt/dr63rufhtwEfBauP8VZrY/QU2KC4EhwE3AY2bWKzxsPnAEwVJ7PwPuNrPh7j6n2bkGZvDUTwEOBvYKAy/PAPcCOwBfAq43s71bOXY1cBLQn6DI17Xhc4jZCRhMkClygZl9FvgOwVKD44BPpTjnGcB/A0OBOuA1goJ6QwkCSIkrFqW8H+Fj/wnsGwYOjgDOA87x1AW8vh4+j0nAZLavJtCag4F3CV6jewmWvz0wfE7/AfyfmfVNcw4REZFuRQEKERGRjvtbmHGwmaAexG8gXsDy68Dl7r7e3bcQBCDOzGNfvg7c5O7T3b0prHtQB0wBcPcH3f0Td4+6+/0EWQ8dLaz5y/D51RAM0he5+x3u3ujubwEP08qA3d2fdPf5HngReJogYBATBa5w97rw/GcAd7j7++6+jSCo0Nxf3X1mmNHyV6DW3f8cVui/nyCIELt+q/cjPP9/EAQ07gYudfdlzS8WOgP4nbsvDSum/zLNPVsY3qNYn0YTVFuvc/engXqCYIWIiEiPobmcIiIiHXeKu//LzEqAqcCLZrYXweC6EpiZMCvACJalzpedgXPM7NKEtnJgBICZfYUgA6EqfKwvQWZBRyxtdv2DY1NEQqXAXakONLMTCJZS243gi5NK4L2EXdaEgYaYEcCMVq4dsyrh55oU2/HMhHT3w93fCKds7AA8kOo5JPQrsS+L29g3VR9x91b7KSIi0hMog0JERCRHwoyFR4AmgtU11hIMNPd294HhfwPCgpoAqaYKdHT976XAVQnXG+jule7+FzPbGbgFuAQYEk7jmE0QNGnt2lsJggYxO6Xp81LgxWbX7+vu32h+UDjt5GHgGmDHsD9/T+hPqj6tAEYlbLdrxZRU2nE/MLOLgV4E9R6+38bpVjTry5hs+yUiItJTKUAhIiKSIxaYCgwC5rh7lGAAfK2Z7RDuM9LMjg8PWQUMMbMBCadZBVSZWbb/j74FuMjMDg7708fMTjSzfkAfggH/mrAvXwUmNLv2KDMrT2ibBXzBzCrDQpTnpbn+E8BuZna2mZWF/x0YFuFsrpxg8L8GaAyzKY5Lc/4HgK+a2Z5hzY+fpNm/LW3eDzPbDbiSYJrH2cD3zWxiG/36lpmNMrNBwLQO9KtNYUHOCoLMlIiZVZhZWb6uJyIiUigKUIiIiHTc42ZWTVCD4iqCQorvh4/9AJgHvG5mm4F/AbsDuPuHwF+ABeFqDiOAB8Pj1pnZW5l2xN1nENSh+D9gQ3jtc8PHPgB+S1A0chWwD/BKwuHPAe8DK81sbdh2LUE9hFXAncA9aa6/hSDIcCZB1sFKgkKhvVrZ91sEg/sNwJeBx9Kc/yngD8Dz4XN7LXyorq3jWjlXq/fDgiVN7wZ+5e7vuPtcghVW7kooOJroFuCfwDsEBTkfybQ/GTibIDPnBoJ6HTXh9UVERLo0S12IWkRERKT4hZkZs4Fe7t7Y2f0RERGR7CmDQkRERLoUMzvVzMrDqRS/Ah5XcEJERKTrU4BCREREupoLCepGzCcoSNqiAKeIiIh0PTmd4mFmlwPnExSceg/4KjAcuA8YTDAn82x3r8/ZRUVERERERESky8tZBoWZjSQodDXZ3ScQrPF+JkHq5bXuPp6gAFa66t8iIiIiIiIi0sPkeopHKdA7rHxdSbAm+NHAQ+HjdwKn5PiaIiIiIiIiItLFlebqRO6+3MyuAZYQLHf1NDAT2JhQuGoZMLKt8wwdOtSrqqpy1S0RERERERERKSIzZ85c6+7DmrfnLEARVtKeCowFNhKs435Cil1bFL0wswuACwDGjBnDjBkzctUtERERERERESkiZrY4VXsup3h8Bljo7mvcvQF4BDgUGBhO+QAYBXzS/EB3v9ndJ7v75GHDWgRRRERERERERKSby1kGBcHUjilmVkkwxeMYYAbwPHAawUoe5wCP5vCaIiIiIiJSxBqaovzljSVU1zUmtR8xbhj7jBrQSb0SkWKUyxoU083sIYKlRBuBt4GbgSeB+8zsyrDttlxdU0REREREits7Szfyk0ffb9H+2vh13HXewZ3QIxEpVrnMoMDdrwCuaNa8ADgol9cREREREZGuIZY5cd8FU5g4eiAAZ906ncamFqXpRKSHy2mAQkREREREJFFtQxMAA3qXUVFWAkBJxPCWtfNFpIfLZZFMERERERGRJDVhgKJ3GJwAMCCq+ISINKMMChERERERyZk/vbKQNxdviG8vXb8NIJ49ARAxozEaLXjfRKS4KUAhIiIiIiI584fn5tEUdYb2LY+3HT5uKEMStiMR8KbO6J2IFDMFKEREREREJCu1DU3MWrqRqIfzNRw2bqvnkk+P4zvH7d7qcYZtP0ZEJKQAhYiIiIiIZOWWlxbw22c+btE+fGDvNo8zUw0KEWlJAQoREREREcnKlrpGyksj/PlrB8XbykqMfUcNbPO4iJnW8BCRFhSgEBEREZGid+UTH/Dsh6uT2ob0Kefu8w9OKr4ohRWNOmURY8ouQzI6zgxcUzxEpBktMyoiIiIiRe+5D1dT3xhln5ED2GfkAAZVljFj8QZWbqrt7K71aFEPsiEyFTFD8QkRaU4ZFCIiIiJS9JrcObBqEL87cxIAf39vBd+85y3qGrVUZWeKupNFfAILjxURSaQMChEREREpek1RJxLZPhLuVRr8GVvXqLUqO5N78uvSXmamIpki0oIyKERERESk6EWjToklBiiCuhNdMYPC3altSN/v8tIIJVkM/gsp+ykeqkEhIi0pQCEiIiIiRa/JPWmw3qsszKBox0C/2PzPEx9wxyuL0u63z8gBPH7p4fnvUAdE3ckmhhIUycx9f0Ska1OAQkREREQK5tpnPuaJdz9JahtYWc6fvnog/SrKWj2uKUrKKR7fe+gdKsu3r+Jx8n4juewz43Pc69z64JPN7Dykki8dNKbVfZ6ds4oPV2wpYK+y05EimapBISLNKUAhIiIiIgXzzAerqK5rZHLVYABWbqpl5uINLNtQw57DWw9QRD15isduO/bjSweNYXNtQ7ztzYXrefbDVUUVoFizpY7fPv1R0lSUD1duYcoug7noU7u2etz6rfW8t3xTIbrYIe6e/SoeafbZtK2BX/3zQ2rqk+uMnDJpJJ/abVjG1xSR4qcAhYiIiIgUTF1jE5OrBnPdl/cH4J/vr+TCu2am/Ta9KZo8xaOirIRffmGfpH0uumsmC9duzX2nO+D1Beu4782lDB9QQVlJkPUxoHcZn959hzaPK4kYTV2gimS2Uzyw9Kt4vLVkA/dOX8KO/XvFa46s2FRDdV2jAhQi3VROAxRmNhC4FZgAOPA14CPgfqAKWASc4e4bcnldEREREeka6hqj8ekZsH16QLps/6Zo+m/qe5VFim5Vj9gg/J7zD2aXYX3bfVxZxGjMUYBiw9Z65q+pTrtf1dA+DO3bK6NzRz1YkSNTEbO0r3ns+d92zoFMGDkAgBP/8G+iXSBwIyLZyXUGxe+Bf7j7aWZWDlQCPwKedferzWwaMA34QY6vKyIiItLjNR+cR8zi39oXi5YBiuDf9mVQtH3uXqWRvK7q0dgUpalZP2Pf7LcmlgWR6TSIkkgE95aZI9m45C9v8cq8dWn322/0QB69+LCMzh2NOpEs3mLtWcUj1b0riah2hUh3lrMAhZn1B44EzgVw93qg3symAkeFu90JvIACFCIiIiI5de0zH/P7Z+cmtZWVGA9edCgTRw/spF61VNfQlDSojw0+030p3uSeVCQzlV6lJXkLUHzwyWZOue4V6puSz3/hp3bhhyfs2epxsUF2pkGG0pJg/8ZolJJI20GQdNZV13PAzoP4dhu1OW5+aQHzV6fPsmgummUNCqMdr3m4Q+xeQJCt0aT4hEi3lcsMil2ANcAdZrYfMBO4DNjR3VcAuPsKM2sx4c7MLgAuABgzpvVqxiIiIiKS2sK1WxlYWcbXj9gFCNL6b315IYvXbe20AMXMxRv48d9mJ9VS2FLXSHliBkUkFqBoe9QZjSYXyUylV2mEDdvqOf7al+JtpSXGVafu0+F7MHf1Fuqbonz9iLEMrCwH4I5XFrFwTds1L2JPK11wpbnScP9c1KGob4oybkAFR4xvvW7Ds3NW887SjRmfuyOreHiaMpmN0Wh835gSQ1M8RLqxXAYoSoH9gUvdfbqZ/Z5gOkda7n4zcDPA5MmT9YkjIiIikiEHBlWWc/GnxwGwbMM2bn15YV6nPKTzxsL1fLBiM8fttWN8kLnrDn04ad/h8X1i4/a06f6efqrDSfuN4JNNNYTjWhqjUf41ZzUzFq3POEBxxysLmb18c3x7wdogu+AbR41jcJ8gQPHEuyvalfkBZFxIsjScz9KQg3SBuoZo2qkofXqVsKWukf984J14W0kELjhyV8bt0HrtjKg7WcQngiKZad6asaBVaURTPER6ilwGKJYBy9x9erj9EEGAYpWZDQ+zJ4YDq3N4TREREREhGOAnjhNjA9LODFDUNAQ1MW46+4BWCym2Z4qHu+Pt+KZ+4uiBXH/WAfHt2oYm9vjxPzIe5Ls7v3zqQ3qVROjfe/vSp4fuOoSBCdvtqaMQG0yny/5oLpcZFHWNUXqVtV0o4sCqwYwetILXF/x/9u47Pq7qzP/455mRZLkX2cbdEmDAxh0bTA2LwaaT7AbIhrCEECBLCikLAfaXkB5ISEhgKSGBQEIvIRBC6DiEEgcbjDEY44KNe7cs26oz5/fHvTOakUaadjVq3/fr5Zd1z9x7z9GdYt9nnvOcxloV63dVM3JAr1aXbc3keUnFK5KZJoMi0nx6jFnnWN1ERHITWIDCObfJzNaa2cHOuWXAbOB9/88FwHX+308E1aeIiIiIeByQGKGI3ZDW1rffqhY19RFKi0OtrvIQeygxbb8hEuW9Dbvj2QfRHOs4xAqE1qUJ0tTUR1i6cXd8wkFtfZS6hijfOukgLv3EAS0e501TaF1s7NmudBGru7Bo7c74lBIDxg/vR2lxy9kQkajj/Q27qU9IT6iua0gqTJrK8QcP5ZUrk2diH3jN02lXRcl1mdGQkf7auebPe1gBCpEuLehVPL4K3Oev4LEKuBAIAQ+b2UXAx8DZAfcpIiIiIk2+yS7xb86r6yI0JBR2DIcsp2UhMxGNuqT0+721DfRs5WYaGsecuDrGH95Yww+eer/Zvn16ZPdf13DICIeMukjrN9k3vvAhv/n7qmbtw/qXtnpcyDJbfSQ2lmz0LfUyNb5w94Kk9suOP4ArTz6kxeMeW7iOKx9b3Kx9QM+SrPqHzFZFyb1IZvqpGrFlRhOneIRCUKcqmSJdVqABCufcImBGiodmB9mPiIiIiCRzNJ3iESIcMn7x/If84vkP4+0H79eXZ79xXOD919RHOOb6l9m2pzapfeSAnq0eF7u5TbxX3VVdD8DdF86Mt4VDxszyQVmPqyQcSjvFY1tVHYP7lHDD2VMajysKpe/PLG0Nitjj2U7xOGXiMO6/+Iik7I/LH1zEzn31rR631b/+v/uvGfEsjJAZM8oHZtU/QI/icAYZFNlnh4AXaMh0FY/EAqMhZVCIdGlBZ1CIiIiISDtwjqRihWbGTZ+ZxqqtjUtHvrZyG/M/2uHVqwg4i6Kyup5te2o5cfx+TBnVP94+OU1xyti9Z+K36ZFolKKQcfzBzRZ/y1px2DKa4jGgV0nW/WVTg8Jan2HRTHE4xFEHDE5q61USTsqGSaWmPkLIYPb4oXk/xz2KQmmvnXOOcJa/G3ivz3S1LiMpMijCofS1K0Sk81KAQkRERKQLiDqHkXxDelrCahkx/1y1g4aoozgcbIAidiN+4vihfObwzJeNtxRFMiPR7JflbElJUZh/LN/Ktx9tnPawX/9SvnHiuHjf1fWRtFNRUglZ+mkKuRbJTKUobPFpDy2prvN+lyACUD2KQsz/aEfStRvUp4T/mXNwfMpKrsuMGrC7pj7p3MVFxpf/7UCG9/eyblJNjwmZJU0Hamsvf7CFZ5ZsSrvfYWMHcs7M0QUYkUjXpgCFiIiISBfQNIMilZKi2NKV0XgByaDE0/GzvFltLYMiCMcdNJjXV2zn7x9uBaCmIcKuffX0KGpcoWP19r0M7t0j63N7GRSt7xNLeMjlJr6p4lCI+iYZFM+/v5lNu2vi24vXV9KzJPtgSyrHjhvC8+9vjl+72oYIO/fVUxwyhvTz6nOs3bGPXlnWBgGYUT6Qlz7YEj+3w7F5dy279tVzxP5lALy5egeQIkBRwIVp7nhlFQvX7IwvLZvKruo6Xlm+VQEKkQAoQCEiIiLSBWTynXLiqha9sq+Z2KrYohHZZj401qBIWMUj6gLJOAD45TlTk7Y/3FzFyb96hZ8/uyypfWqaqSipWBYZFKEA4kFFYYsvvQmwc28dF/9hQbP9cvldUvnhJyfyw09OjG+v3bGPE34xj5teWpG038mHDsv63J+aNopPTRuV1HbCDfN4avFGnlq8Md5W1rskXvAVIBxKP60mSLUNEQ6vGMS9XzyixX2uemwxL32wpWBjEunKFKAQERER6QjyvOlyUb9IZivnKQkb4Kirj+TdX1PRaBRwhM1ldW7v1tMRjTQeF41EvboGbXAjetDQPiz67knU1id/DV/WuyTr/sw5b2pKK8dFI/51ofX9MlFkRkOk8bnbU1MPOK49fQKnTx4R369/z+I2uXajB/bk7e+cRHVdcuHMgb2C6e9vlx/D7uqGpLa+pUVeNk0s0ANEItH8+8swAFbbEGVgr9ajS5ZBsVQRyYx1tCIzM2bMcAsWNI8Ei4iIiHRpd50CH7/e3qMQ6frGzYHzHslo1xN/+XcO2q8Pt553WIv7/O/j7/K3JZt46zsnBTVCkS7PzBY655qtAKoMChEREZGOYOsHMGI6HDQ3p8OfWLSeqtoGPnfE2Bb3WbpxN88s2URZn5Kkef2HjR3EIcP65tRvzPa9tfzh9TWcOmk4B2dxrq1Vtdz7zzWcPmUE44b2AeCFpZtZtXUvlxy3f15jamuPvbWOhojj3FZqD7y+cjvzV23nGycdlHd/D765luKw8R/TvakRmypreOBfH3PWtBHsP7hP3ufvDJ5+dyObq2q58Kjy3E6w9C+wdVn6/Xy1DRF6FLVe0yMcSj/VR0QyowCFiIiISIfgYORhcPxVOR39xOo32VJVw+eOP7bFfQZUVrMiupQl9Y0p+q+t3MYpNpwbj5/a4nGZ2Lapil//4xUOmjCdg1OsHtKSHZuq+PVrr3DI+OmMm+Qd9+zWd3h11zYuOX52XmNqa39eOZ+9tQ2ce/zR8ba7Xv2I5Vsal3ZdvHcXS6O7+cbxp+Xd3+PL3uCjbXtZsGM/ALZW1fBCZAtHTDuC/ZssSdpVPbfpbV7YtoUPdzROaelRFOJrs8e1WsgybsdHLWYqbd5dw60vr6Auoc7Htqo6ehS1PsUjZEZxn052AAAgAElEQVRUczxEAqEAhYiIiEhHkMkyHK0e7tKuFDG8f09uOW96UtsJN8xrtjJELhqXhMzuuMZVPJLPFQ5oFY+21vS+9Ed/fZ/S4jC9E1a2OPrAYIIHs/YvY9W2vbywdHO8bf/BvTlgSPfIngCYUT6I11Zuj1+DSNSxY28dh40dyBlTRqQ5Gu891kIs4aUPtnDPG2so610SL/bat7SIGeWD0p5S8QmRYChAISIiItIh5FkkE8jllr7pyhC5iq9WkWWQxfz9k5YZdZ0jQBEyS1pRIhr1imZeetwBXH7iuMD7+8ZJBwUyVaQz+9yssXxuVuM0prU79nHsz16mtqExyOacY8WWPUltAAcO7YO3OGrq13us+OeL3/oEA7JY5iacwWouIpIZBShEREREOgIHuYUY/MMdOWVgFIVCNETzz6DINUDRmEHRZJnRThGgSP7mvMHfKAp3/LF3FbHpF7UNjdOW/rF8G/9117+a7Xv+rLH8EGtxBZBqf+pTz5LWa040FVINCpHAKEAhIiIi0lHkMcUj6lzOGRT1gWRQeH9nG1go9ueEXP7gIr7+0CLAu3/Mt2hnIYTMcAnfxjdOc1GAolBiBSwTl43dVFkDwPX/MYlBvXsA8JOnl7Ju5z4Y2PJzU1MfIWRQkuU8JTMIIMYnIihAISIiItJB5DpJo1Eu8Y2ikAWSQRG7Oc92DKMG9uR7Z0xgx966pPaZFa3P++8IzCzpxjR2HYsUoCiYHsWxDIrGJ2JPbQMAcw8dFp+q8cd/ruFfH+3ghU1bmFpfw0X/92qzc22orKG0OByfdpQpTfEQCY4CFCIiIiIdQd5FMnOtQREKtAZFttkDZsbnj67Iu//24BVHVAZFe4plOzyzZCPrd+0DYMn63QBJhUr/c+ZoLztiW5hQAwxMseLHwN4lTB41IOsxhBSgEAmMAhQiIiIiHUK+RTJd1t/8AhSHjZr6AGpQxG7O8wiydDahJuUM4jUoFKAomFDIOOqAMpZtqmLdzup4+5H7l8WnDwGcMmk4p0waDk8MhhXF3H3h4cGNwa9F4lxu70ERaRRogMLMwsACYL1z7nQzqwAeBAYBbwHnO+fqWjuHiIiISLfk8pvikXMGRShEVU0tSzfujrf1Kgkztqx3VueJuNgUj+5zg9b0m/PGDIos11qVvNx/8aws9m65SGauYkuS5pkEJSIEn0FxObAU6OdvXw/c6Jx70MxuBy4Cbgu4TxEREZGuId8pHjkc3qe0iA8/3MMpv/5HUvvjlx3FtDEDs+ofutf0Bq9IZiNlUHQCbRBBCCUslRvKs46MSHcXWIDCzEYBpwE/Br5pXvj8BOCz/i73AN9DAQoRERGRFAKY4pHDzdG1p0/gjMnD49vrd9Xww6fej6+E0JLvPfke9/5zTXw7lknQnZbYbFaDIqIaFB2fke97ranY0x1xTvPnRfIU5HvoV8CVQGxNqDJgl3Ouwd9eB4xMdaCZXQJcAjBmzJgAhyQiIiLSSQRRJDOHw4f2K+XkiY0BirU79vHDp96Pr4TQkgVrdjB6UC9OnTQs3tanRzETR/TPfhCdlJk1qUHhr+LRjYI0nY617RQPEclPIAEKMzsd2OKcW2hmx8eaU+ya8m3rnLsDuANgxowZemuLiIhIN5RvBkXjN7n5iK188OjCdSxZX9nifmu27+OkCftxxdxD8u+0kwoZbKuq5donlgCwq7oeUAZFxxd0BkXjFA8RyU9QGRRHA2ea2alAKV4Nil8BA8ysyM+iGAVsCKg/ERERka4l7yKZDrP8izP271nM5FH9Wba5imWbq1rcryhkzKooy7u/zmzq6AH8/cOtPPFO439xh/Ur5YAhfdpxVNK6NsigiE3xiCpAIZKvQAIUzrmrgasB/AyK/3HOnWdmjwCfxlvJ4wLgiSD6ExEREemS2mGKR1PhkPHkV47J/0TdwIVHV3Dh0RXtPQzJRhsWyfxw8x76lhb5bVAxuI+yaUSy1NZ1XL4NPGhmPwLeBu5s4/5EREREOqk8MyjQEoci6QVfJLNXiXdL9R+3vZ7U/u2TD+G/jz8g0L5EurrAAxTOuXnAPP/nVcDhQfchIiIi0uXkXSQzt1U8RLqVNiiS+e/TR1LWp4SGSON5v/7Q2+zaVxdoPyLdgVbCEREREekQ8i+SqQwKkUwEG6AoLQ4z99BhSW3femRRwL2IdA/5V1ISERERkfzlXSQzuKGIdF3BZ1Ck7sVwelOKZE0BChEREZGOIp8pHoAphUKkdQV6j4QKEwcR6XIUoBARERHpEPLLoMA5tGCASDrBF8lM2YuZpniI5EABChEREZGOIN8imeQV3hDpHswKEZ/wwiCKUIhkTQEKERERkQ4hzyKZTlM8RDJTmAhFVBEKkawpQCEiIiLSYeQeYIg6pwwKkbQK8y7Re1EkNwpQiIiIiHQU+UzxyG+GiEj3YAVaxcO0iodILhSgEBEREWlv8RuZ/GpQ6HtbkXQKVSSzIBNJRLqcovYegIiIiEi3F8A3rc45ZVCIZKIQGRSF6UYCVF9fz7p166ipqWnvoXQppaWljBo1iuLi4oz2V4BCREREpN35dzJ5RhgUnxBJwwq5zKgiFJ3JunXr6Nu3L+Xl5So4HBDnHNu3b2fdunVUVFRkdIymeIiIiIh0GKpBIdIVKIOi86mpqaGsrEzBiQCZGWVlZVllpSiDQkRERKS9uewyKLbsruGax99lX10k3vbxjn1UDO7dFqMT6ToKWSSzzXuRoCk4Ebxsr6kyKERERETaXXZFMpdsqOSFpVvYua+e+kiU+kiUiSP7ccqkYW03RJEuoYBFMhWhkCyFw2GmTp0a/7N69eqsz7Fr1y5uvfXW4AdXIMqgEBEREWlvWd7JRKPe3z//9GQmjuzfBgMS6cIKViRTEQrJTs+ePVm0aFFe54gFKC677LKsjotEIoTD4bz6DkJgGRRmNtrMXjazpWb2npld7rcPMrPnzWy5//fAoPoUERER6RpiUzwy2zuqGx+R3BSsSKYyKCQYkUiEK664gpkzZzJ58mR+85vfALBnzx5mz57N9OnTmTRpEk888QQAV111FStXrmTq1KlcccUVzJs3j9NPPz1+vq985SvcfffdAJSXl/ODH/yAY445hkceeYSVK1dy8sknc9hhh3HsscfywQcfFPz3DTKDogH4lnPuLTPrCyw0s+eBzwMvOueuM7OrgKuAbwfYr4iIiEgXkVmEIurf+IQ0X1okS4V5zxhaxaMz+/5f3uP9DbsDPeeEEf249oxDW92nurqaqVOnAlBRUcHjjz/OnXfeSf/+/XnzzTepra3l6KOPZs6cOYwePZrHH3+cfv36sW3bNmbNmsWZZ57Jddddx5IlS+KZGPPmzWu1z9LSUl599VUAZs+eze233864ceOYP38+l112GS+99FL+v3wWAgtQOOc2Ahv9n6vMbCkwEjgLON7f7R5gHgpQiIiIiDTKskhm7BtgxSdEslSwIpnKoJDspZri8dxzz7F48WIeffRRACorK1m+fDmjRo3immuu4ZVXXiEUCrF+/Xo2b96cdZ/nnnsu4GVkvP7665x99tnxx2pra/P4bXLTJjUozKwcmAbMB/bzgxc45zaa2dAU+18CXAIwZsyYthiSiIiISAeWXZFMZVCI5KpAUzwK0ou0lXSZDoXknOPmm29m7ty5Se133303W7duZeHChRQXF1NeXp5yOc+ioiKiscJF0Gyf3r291Z+i0SgDBgzIuwZGvgJfxcPM+gCPAV93zmWUF+Ocu8M5N8M5N2PIkCFBD0lERESkY8u2SKa/f0jxCZHsFWqZUUUoJABz587ltttuo76+HoAPP/yQvXv3UllZydChQykuLubll19mzZo1APTt25eqqqr48WPHjuX999+ntraWyspKXnzxxZT99OvXj4qKCh555BHAC4y88847bfzbNRdogMLMivGCE/c55/7kN282s+H+48OBLUH2KSIiItL5ZTfFI+sZISLiKVCRTEA1KCQQX/ziF5kwYQLTp09n4sSJXHrppTQ0NHDeeeexYMECZsyYwX333cchhxwCQFlZGUcffTQTJ07kiiuuYPTo0ZxzzjlMnjyZ8847j2nTprXY13333cedd97JlClTOPTQQ+OFNwspsCkeZmbAncBS59wvEx56ErgAuM7/u/C/pYiIiEinkOkUj1gNCkUoRLJTmPdMKITmeEjW9uzZ06wtFArxk5/8hJ/85CfNHnvjjTdSnuf+++9P2v7Zz37Gz372s2b7rV69Omm7oqKCZ555JosRBy/IGhRHA+cD75pZbOLKNXiBiYfN7CLgY+DsFo4XERER6Z6yTIlwqkEhkptCFcnEFJ8QyUGQq3i8SsshydlB9SMiIiLS9WRXJDOWOq7whEi2ClQk07w5/CKSncCLZIqIiIhIlrItkukXZFcGhUjHZDSutiMimVOAQkRERKTdZTfFo7EGRVuNR6SLir1p2ji7wUxTPERyoQCFiIiISIeR6RQPf28FKESyVJg3jaEpHiK5UIBCREREpL1lXSTT219TPESyVKAMCkyLeIjkQgEKERERkXaXXZHMaHbxDBGJi71p2niKR9t3IV1QOBxm6tSpTJw4kTPOOINdu3alPeamm25i/PjxnHfeeQUYYdtTgEJERESkvWX5ba6WGRXJU0FqUChCIdnp2bMnixYtYsmSJQwaNIhbbrkl7TG33norTz/9NPfdd19GfTQ0NOQ7zDalAIWIiIhIR6EimSJtq0BvGq8GRUG6ki7qyCOPZP369fHtn//858ycOZPJkydz7bXXAvClL32JVatWceaZZ3LjjTeyd+9evvCFLzBz5kymTZvGE088AcDdd9/N2WefzRlnnMGcOXNaPN/q1asZP348F198MYceeihz5syhuroagBUrVnDiiScyZcoUpk+fzsqVK1s8Tz6K8j6DiIiIiAQkuxoUVqCCfyJdR2GmeITMFKDozP52FWx6N9hzDpsEp1yX0a6RSIQXX3yRiy66CIDnnnuO5cuX869//QvnHGeeeSavvPIKt99+O8888wwvv/wygwcP5pprruGEE07grrvuYteuXRx++OGceOKJALzxxhssXryYQYMGtXi+MWPGsHz5ch544AF++9vfcs455/DYY4/xuc99jvPOO4+rrrqKT33qU9TU1BCNRls8z3HHHZfzZVKAQkRERKS9ZVsk0/87pPiESHbi8Ym2nuKBpnhI1qqrq5k6dSqrV6/msMMO46STTgK8AMVzzz3HtGnTANizZw/Lly9vFgh47rnnePLJJ7nhhhsAqKmp4eOPPwbgpJNOYtCgQa2eb8yYMVRUVDB16lQADjvsMFavXk1VVRXr16/nU5/6FAClpaVZjSsbClCIiIiItLvsbmSiUa3iIZKftg8eRBWf6LwyzHQIWqwGRWVlJaeffjq33HILX/va13DOcfXVV3PppZe2erxzjscee4yDDz44qX3+/Pn07t07ab9U51u9ejU9evSIb4fDYaqrq1tcMjfTcWVDNShERERE2pvTKh4ihVGYZUZNUzwkD/379+emm27ihhtuoL6+nrlz53LXXXexZ88eANavX8+WLVuaHTd37lxuvvnmeEDh7bffTnn+TM8X069fP0aNGsWf//xnAGpra9m3b1/W58mEMihEREREOoosp3iYIhQi2SlgkUytMyr5mDZtGlOmTOHBBx/k/PPPZ+nSpRx55JEA9OnTh3vvvZehQ4cmHfOd73yHr3/960yePBnnHOXl5Tz11FPNzj1nzpyU5wuHwy2O549//COXXnop3/3udykuLuaRRx5p8TxNx5UNayldo73MmDHDLViwoL2HISIiIlI4e7bADePg1Bvg8IvT7v67f6ziR39dyrvfm0Pf0uICDFCki/jHL+HF78P/boLinm3WzWk3/YNh/Uq58/Mz26wPCdbSpUsZP358ew+jS0p1bc1soXNuRtN9NcVDREREpL1lWSSzcZlRZVCIZMUKNcVD+RMiuVCAQkRERKTdZXcrE7u30ioeIrlq4wAF1mJhQRFpWUECFGZ2spktM7MVZnZVIfoUERER6TRyLZKZ4f4iEqMMCpGOrM0DFGYWBm4BTgEmAP9pZhPaul8RERGRTifrKR5tORiRLqhQRTK1ikenpKyX4GV7TQuxisfhwArn3CoAM3sQOAt4vwB9F87vToSqTRnvXlVTz97aSBsOSERERDqLMBGGANc/8yFPvvBS2v1319QDEFKEQiQ75n8/e8vhjT+3gd9W1VAfcWz6nt6jnYXNuprN4X0M6l3cbvV9dtObrTY4q2MOGd6vjUaTP+cc27dvp7S0NONjChGgGAmsTdheBxyRuIOZXQJcAjBmzJgCDKkNjD4CqndmvHvlzn1srKxpwwGJiIhIZ7LCiqgbcgJHFpdltH/F4N6UFKmcmEhWDjkNtn0I0bb9orBO/9fvfFa+RnVxfzb1GUKm0+2C1mB7qQtVZXXM0l0lbTSaYJSWljJq1KiM92/zZUbN7GxgrnPui/72+cDhzrmvptpfy4yKiIiIiIiIdF3tuczoOmB0wvYoYEMB+hURERERERGRTqIQAYo3gXFmVmFmJcBngCcL0K+IiIiIiIiIdBJtXoPCOddgZl8BngXCwF3Ouffaul8RERERERER6TzavAZFtsxsK7CmvceRo8HAtvYehEgb0+tcugO9zqU70OtcugO9zqU76Iyv87HOuSFNGztcgKIzM7MFqQp9iHQlep1Ld6DXuXQHep1Ld6DXuXQHXel1rrWpRERERERERKTdKUAhIiIiIiIiIu1OAYpg3dHeAxApAL3OpTvQ61y6A73OpTvQ61y6gy7zOlcNChERERERERFpd8qgEBEREREREZF2pwBFAMzsZDNbZmYrzOyq9h6PSDbMbLSZvWxmS83sPTO73G8fZGbPm9ly/++BfruZ2U3+632xmU1PONcF/v7LzeyC9vqdRFpiZmEze9vMnvK3K8xsvv+afcjMSvz2Hv72Cv/x8oRzXO23LzOzue3zm4ikZmYDzOxRM/vA/1w/Up/n0tWY2Tf8/7MsMbMHzKxUn+fS2ZnZXWa2xcyWJLQF9vltZoeZ2bv+MTeZmRX2N8yMAhR5MrMwcAtwCjAB+E8zm9C+oxLJSgPwLefceGAW8GX/NXwV8KJzbhzwor8N3mt9nP/nEuA28D5AgWuBI4DDgWtjH6IiHcjlwNKE7euBG/3X+U7gIr/9ImCnc+5A4EZ/P/z3xmeAQ4GTgVv9fwdEOopfA8845w4BpuC93vV5Ll2GmY0EvgbMcM5NBMJ4n8v6PJfO7m6812KiID+/b/P3jR3XtK8OQQGK/B0OrHDOrXLO1QEPAme185hEMuac2+ice8v/uQrvP7Mj8V7H9/i73QN80v/5LOAPzvNPYICZDQfmAs8753Y453YCz9NBP/ikezKzUcBpwO/8bQNOAB71d2n6Oo+9/h8FZvv7nwU86Jyrdc59BKzA+3dApN2ZWT/gOOBOAOdcnXNuF/o8l66nCOhpZkVAL2Aj+jyXTs459wqwo0lzIJ/f/mP9nHNvOK8I5R8SztWhKECRv5HA2oTtdX6bSKfjpz1OA+YD+znnNoIXxACG+ru19JrXe0E6ul8BVwJRf7sM2OWca/C3E1+z8dez/3ilv79e59KR7Q9sBX7vT2X6nZn1Rp/n0oU459YDNwAf4wUmKoGF6PNcuqagPr9H+j83be9wFKDIX6q5O1oaRTodM+sDPAZ83Tm3u7VdU7S5VtpF2p2ZnQ5scc4tTGxOsatL85he59KRFQHTgducc9OAvTSmA6ei17l0On66+llABTAC6I2X7t6UPs+lK8v2dd1pXu8KUORvHTA6YXsUsKGdxiKSEzMrxgtO3Oec+5PfvNlPB8P/e4vf3tJrXu8F6ciOBs40s9V4U/FOwMuoGOCnCEPyazb+evYf74+XdqnXuXRk64B1zrn5/vajeAELfZ5LV3Ii8JFzbqtzrh74E3AU+jyXrimoz+91/s9N2zscBSjy9yYwzq8cXIJXbOfJdh6TSMb8eZh3Akudc79MeOhJIFb59wLgiYT2//KrB88CKv2Us2eBOWY20P92Y47fJtLunHNXO+dGOefK8T6nX3LOnQe8DHza363p6zz2+v+0v7/z2z/jV4WvwCsy9a8C/RoirXLObQLWmtnBftNs4H30eS5dy8fALDPr5f8fJvY61+e5dEWBfH77j1WZ2Sz/ffNfCefqUIrS7yKtcc41mNlX8F4MYeAu59x77TwskWwcDZwPvGtmi/y2a4DrgIfN7CK8/wyc7T/2NHAqXjGpfcCFAM65HWb2Q7ygHcAPnHNNC/2IdDTfBh40sx8Bb+MXF/T//qOZrcD7pu0zAM6598zsYbz/DDcAX3bORQo/bJEWfRW4z//SZBXeZ3QIfZ5LF+Gcm29mjwJv4X0Ovw3cAfwVfZ5LJ2ZmDwDHA4PNbB3eahxB/n/8v/FWCukJ/M3/0+GYF0AUEREREREREWk/muIhIiLSwZnZ38zsghYeMzP7vZntNDOlJ3cQZlZuZi42J76151BEREQ8ClCIiIjkwcxWm1m1me3xgwR/NbPR6Y8EMzveT+NMbPuemd2b2OacO8U5dw+pHQOcBIxyzh2e0y/R2PfnzezVfM4hqaV5DrNiZjeY2XIzqzKzD8zsv4I4r4iISHtTgEJERCR/Zzjn+gDDgc3AzQXseyyw2jm3t4B9ppRQQb9Tnr8T2QucgbcawQXAr83sqPYdkoiISP4UoBAREQmIc64Gb2nHCbE2v0L8DWb2sZltNrPbzaynmfXGK1A1ws++2GNmn8UrUnuuv/2Of455ZvbFpv35RbN+Bxzp7/99v/10M1tkZrvM7HUzm5xwzFVmttL/9v19M/uU3z4euD3hXLtS9d00y8KfxvBlM1sOLPfbDjGz581sh5ktM7NzWrpmZnahmS31x7PKzC5NeOx4M1tnZt82s03A7/32K81so5ltMLMv+mM40H/sbjO71Z9SscfMXjOzYWb2Kz/D5QMzm5bueviP3eYX44ttX29mL5pZs/XkzSzsP8/bzGwVcFqTx+PX0b+Gr5nZjf5ztMrMjvLb15rZltamgzjnrnXOfeCci/pLiv4DOLKl/UVERDoLBShEREQCYma9gHOBfyY0Xw8cBEwFDgRGAt/1Mx5OATY45/r4f+4HfgI85G9Paa0/59ydwJeAN/z9rzWz6cBdwKVAGfAb4Ekz6+EfthI4Fu/b9+8D95rZcOfc0ibnGpDFr/5J4Ahggh94eR64HxgK/Cdwq5kd2sKxW4DTgX54Vchv9H+HmGHAILxMkUvM7GTgm8CJeNfzEynOeQ7w/4DBQC3wBl7F/8F4AaTEJZVTXg//sW8Bk/3AwbHARcAFLnWF8Yv932MaMIPG5Q5bcgSwGO85uh94EJjp/06fA/7PzPqkOQdm1tM/TiuIiYhIp6cAhYiISP7+7Gcc7MarB/Fz8ApY4t24fsM5t8M5V4UXgPhMG47lYuA3zrn5zrmIX/egFpgF4Jx7xDm3wf/2/SG8rIe8alcAP/V/v2q8m/TVzrnfO+canHNvAY/Rwg27c+6vzrmVzvN34Dm8gEFMFLjWOVfrn/8c4PfOufecc/vwggpNPe6cW+hntDwO1Djn/uAvIfgQXhAh1n+L18M//+fwAhr3Al91zq1r2pnvHOBXzrm1/pJuP01zzT7yr1FsTKPxloOrdc49B9ThBSvSuR14B2+5cxERkU5NczlFRETy90nn3AtmFgbOAv5uZhPwbq57AQsTZgUYEG7DsYwFLjCzrya0lQAjAPyCit8Eyv3H+uBlFuRjbZP+j4hNEfEVAX9MdaCZnYK31vtBeF+c9ALeTdhlqx9oiBkBLGih75jNCT9Xp9iOZyakux7OuX/5UzaGAg+n+h0SxpU4ljWt7JtqjDjnWhxnKmb2c2Ai8G8tZHWIiIh0KsqgEBERCYifsfAnIIK3usY2vBvNQ51zA/w//f2CmgCpbirzvdFcC/w4ob8BzrlezrkHzGws8FvgK0CZP41jCV7QpKW+9+IFDWKGpRnzWuDvTfrv45z776YH+dNOHgNuAPbzx/N0wnhSjWkjMCphO6MVU1LJ4HpgZl8GegAbgCtbOd3GJmMZk+u4MuHXGzkFmOOc292WfYmIiBSKAhQiIiIBMc9ZwEBgqXMuincDfKOZDfX3GWlmc/1DNgNlZtY/4TSbgXIzy/Xf6N8CXzKzI/zx9Daz08ysL9Ab74Z/qz+WC/G+gU/se5SZlSS0LQL+3cx6+YUoL0rT/1PAQWZ2vpkV+39m+kU4myrBu/nfCjT42RRz0pz/YeBCMxvv1/z4bpr9W9Pq9TCzg4Af4U3zOB+40symtjKur5nZKDMbCFyVx7haZWZXA58FTnLObW+rfkRERApNAQoREZH8/cXM9uDVoPgxXiHFWNHCbwMrgH+a2W7gBeBgAOfcB8ADwCp/NYcRwCP+cdvN7K1sB+KcW4BXh+L/gJ1+35/3H3sf+AVe0cjNwCTgtYTDX8IrtrjJzLb5bTfi1UPYDNwD3Jem/yq8IMNn8LIONuEVCu3Rwr5fw7u534l30/1kmvP/DbgJeNn/3d7wH6pt7bgWztXi9TBvSdN7geudc+8455bjrbDyx4SCo4l+i1cH4h28gpx/ynY8WfgJXobGcmtcAeaaNuxPRESkIExTFkVERKSz8jMzlgA9nHMN7T0eERERyZ0yKERERKRTMbNPmVmJP5XieuAvCk6IiIh0fgpQiIiISGdzKV7diJV4BUmbFeAUERGRzkdTPERERERERESk3SmDQkRERERERETaXVF7D6CpwYMHu/Ly8vYehoiIiIiIiIi0gYULF25zzg1p2t7hAhTl5eUsWLCgvYchIiIiIiIiIm3AzNakatcUDxERERERERFpdwpQiIiIiIiIiEi763BTPEREREREpPP6/l/e442V25PahvUv5Xf/NYOisL4fFZGW6RNCRKzKV2gAACAASURBVEREREQC87d3N1FV08DYsl6MLetFyIx5y7ayY29dew9NRDo4ZVCIiIiIiEhgHI5jDhzC9Z+eDMDDC9Zy5aOLqYtE23lkItLRKYNCREREREQC4xyEEu4ySvxpHXUNClCISOuUQSEiIiIinU51XYSr/7SYyur6pPaTJw7j3Jlj2mlUAhB1ABbfLinyAxTKoBCRNBSgEBEREZFOZ+XWPfx50QbGlvWif89iAFZt3cvOffUKULQ7hzXGJ+IZFPUNrp3GIyKdhQIUIiIiItLpNHhf03PtGRM44ZD9ALjgrn+xq0lGhRSecxBKCFAUxzMoIu00IhHpLBSgEBEREZFOJ+IHKEIJX9WHDJzTt/TtLeocljjFw8+guPmlFQzp0yPefsqkYfHgkogIBBygMLNvAF8EHPAucCEwHHgQGAS8BZzvnNMaQyIiIiKSs6gfiAiHEgMUFm+X9uMgaYrHAUN6c9B+ffhwUxUfUgXAtj11bKisVoBCRJIEFqAws5HA14AJzrlqM3sY+AxwKnCjc+5BM7sduAi4Lah+RURERKT7aYg0D1CYGVHVYWx33hSPxudlaL9SnvvGJ5L2+fRtr6NYkog0FfQyo0VATzMrAnoBG4ETgEf9x+8BPhlwnyIiIiLSzcQzKJpM8VAGRfvTcyAiuQosQOGcWw/cAHyMF5ioBBYCu5xzDf5u64CRTY81s0vMbIGZLdi6dWtQQxIRERGRLipWg6LpFA/dG3cALnmKRypm6LkSkWYCC1CY2UDgLKACGAH0Bk5JsWuzjyLn3B3OuRnOuRlDhgwJakgiIiIi0kVFUtWgCOnb+47AkTzFQ0QkU0FO8TgR+Mg5t9U5Vw/8CTgKGOBP+QAYBWwIsE8RERER6YYiLdWgUICi3XmreLTOMFzz7y1FpJsLMkDxMTDLzHqZmQGzgfeBl4FP+/tcADwRYJ8iIiIi0g3FMiiSlxnVFI+OwGUwxUNEJJUga1DMxyuG+RbeEqMh4A7g28A3zWwFUAbcGVSfIiIiItI9Rf0aFEXh5CKZEUUo2p3DpZ/ioRoUIpJCYMuMAjjnrgWubdK8Cjg8yH5EREREpHtriKZaxUNTPDqCqIO0czxERFIIeplREREREZE2F01RJNMMotH2GpHEOa/GRGuMFJXzRaTbCzSDQkRERESkLXy8fR8fbq6Kby9eVwkkByjCZjhlULQ7b4pH6/uYgVMwSUSaUIBCRERERDq8y+5fyJL1u5PaQgZ9S4sTto1oJ4hP7Nxbx7vrK5PaepaEmTF2INYFqktGVSRTRHKkAIWIiIiIdHh7ayMcO24wV849JN42oFcxg3qXxLdDITpFDYrv/+U9/rxoQ7P2a8+YwPjh/eLbowf1YuSAnoUcWiCccxlM8TAcSqEQkWQKUIiIiIhIhxeJOsp6lzBpVP8W97FOkkGxty5CeVkvfnHOFABqG6J8/q43+f5f3k/ab+SAnrx21QntMcS8OEg7xUNEJBUFKERERESkw4u69EtXhoxOUYPCOehVUsRhYwfF256+/Fi2VNXEt//w+hpeW7mtPYaXN+dIO8fDtMyoiKSgAIWIiIiIFEx1XYT1u/YltfUtLWa/fqWtHheNOkJpvpbvPMuMumb37wcO7cOBQ/vEt19cuqVNb+C3VNWwu7o+qW14/5707pHf7UEsQKQEChHJhQIUIiIiIlIwl/xxAf9YnpwZYAavffsERrRSbyHiHOG0GRSdY4pHJkLWdvU0tu+p5cifvkSkycWaWT6QR750VF7njp0yXbaLmZYZFZHmFKAQERERkYJZv7Oaw8YO5PNHlQPw7vpK7nhlFTv21rUeoIiSNoPCMrypr6yup6Y+0uo+xeFQUgHOILkMVrloy2yQbXvqiEQdXzi6gmljBgBw9+ur2banLu9zxzMolEIhIjlQgEJERERE2kxVTX3SN/W7a+o5Yv8yzpgyAoA+PYq445VVNKRJfXDOpS28GDJLOy1ixZY9zLnx7xllWtx94UyOP3hofHtvbQP1keSVJ/r3LM56aVAH6Ve5aMNskFhw5ugDy5g9fj8AXv5gC5t317R2WEZiQ073XBnWKeqFiEhhKUAhIiIiIm3i6Xc3ctl9bzVrH9irOP5z2L+TjURbX3Iy4lx835aEzFvtY19dQ0KbUVocjm9v21NL1MEXjq5IqvmQaOe+On7+7DK2VNXG297bUMmZ//das2kRnz+qnO+deWir48pFWxb8jAUoEq9LUdhoiOTfXzSeQaEpHiKSPQUoRERERKRNrN3hFcO85tRDKA6HAC9gcMqkYfF9isLejWx9mpvjSDT9Kh7F4RDV9REmfPfZeJsZ3HH+DE6a4GUKxO75Txw/lKMOHJzyPOt27uPnzy5LuoPesruWSNTxxWMqGDnQm4py+99XsmFXdatjSsW55kUymwqynoZzLimwsq8uFqAIxduKwiEa0gSJMusr71OISDcWaIDCzAYAvwMm4n2kfwFYBjwElAOrgXOcczuD7FdEREREOp7YtI0LjiqnR1E45T5FIe8muWlmQlPRaPoMivOPHMvAXiXxb/Gr6yP86oXlrNvZuGqII/03/LHHXEKEIvbzGVNGMGW0V7fh4QXrcgoieFM8WhdkkcxvPvwOj7+9vll7r5LGW4HikKUNEmUjXTAJFMwQkeaCzqD4NfCMc+7TZlYC9AKuAV50zl1nZlcBVwHfDrhfEREREelgYlMGikOhFvdpzKBo/dv7qEtf12B4/55cfNz+8e1d++r41QvLk26EYz9nUjYi3XFtOQ3D/HoaXrZFfhUnl6yv5OD9+nL65OHxtv69ijl4v77x7aJwiIY0z0EmonkUyTznN2+wcE3y95hjB/Xi+W9+Im1wSkS6hsACFGbWDzgO+DyAc64OqDOzs4Dj/d3uAeahAIWIiIhIlxeJRjFrffWNWPAiXf2DiHNpV/FoqjETolE80NDacSnaUsUhcl1pwznS3sHHMhAyWfEjnd019XzioCF8dfa4FvcpCgeTQZHJ9QU/ANOk7YONu5k4oh/HjhsCwKK1u3h1xTaq6yP06aGZ6SLdQZDv9P2BrcDvzWwKsBC4HNjPObcRwDm30cyGNj3QzC4BLgEYM2ZMgEMSERER6b7Ovv11Pty8J6ltwvB+PHDJrIL0Xx91rWZPQGORzHSreESjjnCWd+qx3ROzHDKb4hHbN8VjCbfeoRwLPWY6xQO8jIRQ2r0bvbp8G19/6O2kYENldT39SotbOcoLFNUHUYPC/zuTKR6pjp0+diD/M/dgAP7wxmpeXbGN2nYMUNzw7DL++M81SW19ehTxyJeObHVZXBHJTZDv9CJgOvBV59x8M/s13nSOtJxzdwB3AMyYMUOz0URERETyVB+J8ubqnUwbM4Apo7yaCW9/vJP5H20v2BgaItH4FI6WFIdjAYp0UzzS16BoKrZ3qqkamZwq6bjYOROOa8ulQGPZItmef8mGSrbtqeNzs8bE63uYwWcOb/1LwOJwCOdg5o9fiF+3cMj44VkTOdEvMJqJTKd4GDRPS3HJAaAeRd74axvyD5zkauGanZQWhzhlojc9ZsfeOp58ZwNLN+5WgEKkDQQZoFgHrHPOzfe3H8ULUGw2s+F+9sRwYEuAfYqIiIhICrGlJE+dODxel+GmF5fzzrpKP3DQemZDEBoyKGwZG8d3n3iP6/72Qbz9xPH7xZfvdM4RdemXrmwqlLLYpae1U1mKjIVUtSZyrUGRySoelpBBkY1qf4WOH5w5MaspMWdMGc6Wqpqk/v7yzka+8dAi+icsC1vWu4QHLpmVVGAzUT4lOZoeWtIBAhQN0Sj7D+4Tfy2u31XNk+9s4IpHF9OrpLHw69EHDOb6T09ur2GKdBmBBSicc5vMbK2ZHeycWwbMBt73/1wAXOf//URQfYqIiIhIajX13k1d4lKSsRu+ukIFKCIuvrxoS8YM6sXFx1awfW9dvO3tj3fx7Hub4jeFsSyCXKd4JGYhNN6AZzLFo3lgI3m/3GpQZCKxBkU2ahoilBSFsq7Xsf+QPvz4U5OS2qaPGcgbqxozbjZV1vD6yu2s2rqXiSP7A/Dce5v4+bPL4tchdq3TBZOshekxiYfFVn6pa9cAhaO0uHFQI/qXctnxB7Bpd0287e2Pd/HyMn0HKxKEoCdzfRW4z1/BYxVwIRACHjazi4CPgbMD7lNEREREmohlUPQobvyWt8QPFtQ3OChp+zE0RKNpMyjCIeN/T5uQ1PbTvy3ljldWccqv/wE0ZilkG1OJZUIk3eRnsIpHqqkh8cearOKRa9mGbGpQZKO2PkppUTDBp7NnjObsGaPj2wtW7+D1lW/w5fvfimdQbKqspiHqOO6gIfH9pozqzwmHNCs7l8RIMcPDuaTrEpvi8aV7F1Ka8Do+f9ZYPntEYerWRaKOooTXsJlx5cmHJO3znT8v4anFGwoyHpGuLtAAhXNuETAjxUOzg+xHREREpDvbWFnNNx96h31+ECKVWv+xxBu74ljKfCQCtF40MVsNkShfvv8tNu2ujbet3bEvp5vlMyaPYM22fUQS7mArBvdm9vjMayFAS5kQfo2EDI5PvfpH8s1qrqt4pMswiGVQtHb+VNd83Y59Sc95kCaO7M9/TB/F7pr6eNuogT05cfxQzp2Zf8Cg6eIm08YM5KypI9hX1/g6n79qO8+9v6lgAYqGiCOcptBrcTgUyAooIhJ8BoWIiIiItLGlG3fzxqrtTB8zgL4trc7Qs5ixZb2YWT4w3tTDT0Foi5T57XvrePa9zYwb2idePHDAyP7M2r8s63NNHNmf288/LO8xNa7i0djWWCQzgxSKJKlrUOSSQeEyWPvD4gGKlvfZuqeWZ9/bzMH79WVY/1LAu+ZH7D8o+0FloLQ4zC/OmRLIubxlRpN/uaaxmEG9S/j1Z6YltZ37mzeSAhZtrWkGRSrFRUZ9pP2moYh0JQpQiIiIiHQysRu57515KJP9FToyEatB8fUHF9EzocDf548qzzo7oamIfyd90TEVaVeMKJTGKR4JGRQZTfFIEdmIPZY0xcOIkNuNaaZTPForwrm31rtRv+zfDuCsqSNzGkdH4nBpM0t69yhiS1VNq/sEqSEaJZxmJZqScEgBCpGAKEAhIiIi0smkmm6QiWljBnDk/mXUNkTYW9sAwJL1uxnSp0dgAYpsizO2pVQZFPFlMDO4dimneDQJUOSyzKg3xaP1fUIZZFDsq/Oew94trKjRkaWqQRFrb03PkjAfbd3LRXe/GW/rURziu6cfGs8iCVJDBhkURaEQUee9B7JdCldEknW+TzMRERGRrui1m2D9gox2nbS7lluKdzDmxXuhZ+a1JMYCDzRJuJi3fSv91xXDw5lnYqQyqDbCLcVbmLJwAKzqmde5glLk4JbijRy0tC9s7wPA5N013FK8s9Vr168hyi3Fmzl0UX9Y2wuAqZXecSOfuw9Kvf9Cf237DhqiDh7ObhrL5dt3eIGSVo47fvs+bimupPcTD4Cf+bKhsoZNldXxfeoaotxSXMfUf5bBkgJUPQ3Qf2/Z6RVyffi38bZf2SbGrugND/dt8bhr9lTzn6V7wa9JGY06qmobiOwdAAMyfN2VHwuHX5zRrl4NivRTPADqI1HCobap/yHSXShAISIiItIRvHojuCj0HZZ21961DYyzanrs3Al78rshKnd76VEbgq35BRWKG6KMs73027MdGoItwJmPcVbFoH0lsLUHkHDtdrV87cJRxzjbw4A92yDq3fj3qfGOK9m5Kx4wGNFQTTTqYOu2rMY0smGfl53RynH9q+sZZzWEt1fG53tEduyjX0OUooQpByNKjAF7K6G6c31zP7y+moaIg62Ny5geYHsYUF0cf65SGQn4K5wCUB9xfLRtD713b4f6DF53uzfAhkUZBygiUUdxmiKZsdVxvvXIOxT7z1XIjC8cUxFfjlVEMqMAhYiIiEiH4GDS2XDaDWn3fO29TVz6x4U8dfYxed8AXXrjK1QM7p13Uco1m6uYc+Mr3HziNM6YMiKvcwXGOeZc/TSXTxvHN046CIDXlmzkS/e+xdNnH8uEEf1SHrZ7bx1zfvg83ztqAp8/ugKAVxZv5Mv3v8VznzmOg/bzvuH/f7//Fzv21vHkl4/Jalj/c8cbRB08fOmRLe7z9PyPuebxd5l/wWz26+dNXfjija9QPrgXvzk/1aJ5ncu197zJhl01PP3lY+Ntp/3v3/jC5AquOuWQVo5MVl1Tz5zvPcf/O2I8Xzx2//QH/OlS+Pj1lA9trKzm/15akVRPYue+urQ1KKaOHsABQ3qzZH1lvG3N9n0M6ddDAQqRLClAISIiItIRZFKYIGFXyHj3VoVD5k1TyFNsSdCONAc/VnAxXS2JliQdl2J50lCOy4xmInYZr3/mg3iNifW7qpk0qqvc8FrKtUyyfU338pdU/cvijazZvi/t/v++dhfle+v45Z+XNHts2eYq/vXRDoYn1LIo613CjLEDm+2baEb5IF781vFJbYd852+pFn4RkTQUoBARERHpEBzpSwQmy7ZIZirhkBHJZa3MJhoifpHMIKImATJLXgkjmkGAItVDqeIQIUvdno5z6Z/pg4b1ZVi/UuYt2xpv61EU4vCKtllCtNCaPi/gr+KR5XmKwiGO3L+MZZurWLsjfYBiZrSGYa6Bv767MeXjxx88hLsvPDzLUTRnLQRgRKR1ClCIiIiIdARZ3c343+Z3oAyKWCZBuhUPCq3pahGxTIjWAimpVv9o+pj3c46reNCYIdGS6WMG8s9rZmd/8k4s12SUBy6ZlfnOj/8JPlrBW988KbfOMpQqACMi6SlAISIiItIhtM8Uj6KQxZcIzUfsHB1pigd4gQiXEP1pXKI1PZfy58YjQyluQv/yzgZWbt2T1Hbg0D6cPrmD1OXoIFJmqRDMa7r1jo1Czb1QfEIkewpQiIiIiHQELvMpHkHe94QDDlCEOliAwqxpBkVje4vHpHgeYoGIpAwKkmtQOOf4+kOLml3PkqJQcoDCNdbHkGRBTFtK10MhIgeFC4OIdC2tr5mTJTMLm9nbZvaUv11hZvPNbLmZPWRmnWuBZhEREZGCySGDIrAaFMEFKDreFI/kaRiNGQ/pi1CkS9EPhUg6d21DlEjUccXcg/nop6fy0U9P5cv/dkCz6+twbZ8p0ME1DRyBd73bPoMCChE6MDNlUIjkINAABXA5sDRh+3rgRufcOGAncFHA/YmIiIh0DVllUHS8GhSxVTw6WpFMjNRTPFqLT2RYQNOarOJRUx8BoGdxGDPz/mCqRZCh7MvE5qKQGRR63kWyFdgUDzMbBZwG/Bj4pnl5aycAn/V3uQf4HnBbUH2KiIiIdB25ZFDkryhkbK2q5eE317a63wFD+3BYwnKLK7fuYeHqnfHt5VuqgI5Yg4KkL8wzKZIZ39c1/zlxakbILOncNfXeaiil/tKX3v7Nv6/PYkXZLstb5aJJZkkh7ucLVYOiMHEQkS4nyBoUvwKuBPr622XALudcg7+9DhiZ6kAzuwS4BGDMmDEBDklERESk6wriJndY/1JeXraVKx9b3Op+fXoU8eNPTYxv3/rySpZtrmo2nsF9OtaM3uZ1ImLtrR3TXDxrJaEtZLC7pp4nFq0HYGtVLQA9SxqTlJuuIuKdqxC1FjqpQszxKFAGhYhkL5AAhZmdDmxxzi00s+NjzSl2Tflp4Jy7A7gDYMaMGYo1ioiISPeTxdfqqVaUyNWPPjmJr5wwrtV95i3bwv8+voTLH1yU1P75o8q5+Lj949u9isMM7N3BAhRNi2RmNMXDezDV1JBEZb17sG1PXbPrsl+/0uQBSDOpalBAAW7sC5RB4dWg0G2NSLaCyqA4GjjTzE4FSoF+eBkVA8ysyM+iGAVsCKg/ERERkS4mixoUKVaUyFU4ZIwc0LPVfT57+BiOGzeE+kg03mZmjBnUq8NN6WjKW2a0UWOJzOymeMQkXvNrTj2Ez81Kzv4tLQ4zIuF6xnb3CkBaws8ZDL4Lazr1JcjXdJqe27oDr5cUU3tEJL1AAhTOuauBqwH8DIr/cc6dZ2aPAJ8GHgQuAJ4Ioj8RERGRLqcDFyYwM0YP6tXew8iJQdIUj2gGN8Ip04BTrJxSFA6x/5A+rfcfXxEk4ed0g+6GCpZs0FLqRtDdoBoUIrkIehWPpr6NVzBzBV5NijvbuD8RERGRTiqbDArv744Zzuhgmt6PZrGKR6rMi+y7904W1d1qkpZWN2n72hwFnOKhUJRI1oIskgmAc24eMM//eRVweNB9iIiIiHQ5WdWgiGUBKESRTtMrlMm1i90kp5vikVH/qYIdTs9dU/GpN20en1AGhUhH1tYZFCIiIiKSEWVQtIVQKPmb+lyvXa4FDxtrUCScK6czdTEt1aAoRMcFyaDQ8yySCwUoRERERDqCHG6A9SV8el4NisbtTL6pb8x6SAhsZHBcpueKjUsaFfRmviCpDXqGRXIR+BQPEREREclFFlM8UhRslNSa1gKI1YIIZXCtU9WuyKX/5ufSKh4GKa9pQaZ4FCqDQikUnUp9fT3r1q2jpqamvYfSpZSWljJq1CiKi4sz2l8BChEREZGOwGUxxcP/u7vf5GYi1ORGMd/pMaod0Tbiz0vbRygKkq7hh6XaviMJzLp16+jbty/l5eV6nwfEOcf27dtZt24dFRUVGR2jKR4iIiIiHUXGGRS68cmcpZzi0VqEItXTEC+umW3vCcuMJo6hu9/+eJktjQq24oUyKKQFNTU1lJWVKTgRIDOjrKwsq6wUBShEREREOoTsMygkPWs6lyBejDGTVTyaF9fMuv/4d+nJ5+ruN0HeKhf5X9+cei7IKh6mAEUn1N3fl20h22uqKR4iIiIiHUWm/5GLp8O33VC6ipBBNApRP40ilk0RyqRIZpDLjOpmNSNdqgaFQokiWVOAQkRERKS9xe9eM82g8LMAFKFIqygU4qEFa3lowdpm7dlofIayu+bxZUaTzuU0xaOFUhBtX/i1UBkUCkpJ9sLhMJMmTYpv//nPf6a8vDyrc+zatYv777+fyy67LODRFYYCFCIiIiLtzeWWEtHdb3Iz8aNPTmTxusqktuEDSunfq+WK8imDCjlmrTRmUDSd4pHdebq6XK9v1gqUQUHBepGupGfPnixatCivc+zatYtbb7016wBFJBIhHA7n1XcQVINCREREpN1lmUGhKR4Z+7dDhnL5ieOS/pwzY3Srx6RaGjTXdP3Ycqa6WU3WNMOgoNMhCpFBYapBIcGIRCJcccUVzJw5k8mTJ/Ob3/wGgD179jB79mymT5/OpEmTeOKJJwC46qqrWLlyJVOnTuWKK65g3rx5nH766fHzfeUrX+Huu+8GoLy8nB/84Accc8wxPPLII6xcuZKTTz6Zww47jGOPPZYPPvig4L+vMihERERE2luWEYdcpxtIdlLdNOd6xZsvdarnLpU2vyoFjOqpBkXn9f2/vMf7G3YHes4JI/px7RmHtrpPdXU1U6dOBaCiooLHH3+cO++8k/79+/Pmm29SW1vL0UcfzZw5cxg9ejSPP/44/fr1Y9u2bcyaNYszzzyT6667jiVLlsQzMebNm9dqn6Wlpbz66qsAzJ49m9tvv51x48Yxf/58LrvsMl566aX8f/ksKEAhIiIi0u5yy6CQtpHqWciyTEjjueJzPBLOhbJfvGVGm6/i0fbXpXBFMhWfkGylmuLx3HPPsXjxYh599FEAKisrWb58OaNGjeKaa67hlVdeIRQKsX79ejZv3px1n+eeey7gZWS8/vrrnH322fHHamtr8/htchNYgMLMRgN/AIYBUeAO59yvzWwQ8BBQDqwGznHO7QyqXxEREZFOL353luHu8SKZbTSebi7Vyhv5F8nU3WprCpYVZAUqktlCEVDpHNJlOhSSc46bb76ZuXPnJrXffffdbN26lYULF1JcXEx5eTk1NTXNji8qKiIajca3m+7Tu3dvAKLRKAMGDMi7Bka+gqxB0QB8yzk3HpgFfNnMJgBXAS8658YBL/rbIiIiIhKXYw2KthmM+JJuMHO8qU0Z7HBaxaNZDYqCpQUVKIMCK+DvJF3Z3Llzue2226ivrwfgww8/ZO/evVRWVjJ06FCKi4t5+eWXWbNmDQB9+/alqqoqfvzYsWN5//33qa2tpbKykhdffDFlP/369aOiooJHHnkE8N6T77zzThv/ds0FFqBwzm10zr3l/1wFLAVGAmcB9/i73QN88v+3d+dxUlVn/sc/T1XvLM3uQgONirLJ2qKExDgqoFEhZuKSMC6jjiTBLZMxQScmccY4GePExIzL6GhMFDUucYkxBgUdf24oiAuLCmKzySrQ0A3ddHWd3x/3VnVV79VdW3d/3y+x6546de+p6lO36z51znOSdUwRERGRLqGdOSi6/VVuirS0fGvCq3j4Pxteqnb70S/WzAiVdKzioREU0olcdtlljB49mkmTJjF27Fjmzp1LKBRizpw5LF26lLKyMhYsWMDIkSMB6N+/P9OmTWPs2LFce+21DBkyhHPPPZdx48YxZ84cJk6c2OyxFixYwH333cf48eMZM2ZMNPFmOqUkB4WZlQITgSXAIc65LeAFMcxsUBP1LwcuBxg6dGgqmiQiIiLS5ShJZorFLg3q/0z0Fa9fEUSXq9kjHSMolCtGEldZWdmoLBAIcPPNN3PzzTc3uu/NN99scj8PP/xw3PYtt9zCLbfc0qheeXl53Pbw4cN54YUXEmhx8iV9mVEz6wk8CVzjnGtT6lPn3D3OuTLnXNnAgQOT3SQRERGRLJfg5a9TDopUa/gNeHsvNpvIkYlzCi41fP71g4hSPoQifcuMpvwoIl1PUgMUZpaLF5xY4Jz7k1+8zcwO8+8/DNiezGOKiIiIdHrtXmZUUqmp69hEL6CjUzzipjPo0rWRtKWgSFcOCo2aEWmPpAUozDtb3wesds79KuauZ4GL/NsXAemfyCIiIiKS1bTMaLZp+JuIXGwmHBSKTPFohXZ0XAAAIABJREFUcFHc3Ue/eKkgYqfQtPP1TfzI6XkDKQeFSLskMwfFNOAC4EMzi6xNcj3wC+AxM7sU2ACc08zjRURERLqnREdQRKd4dPOr3BTyhug3kYOinUkyY69WnVOAojlpSZKZphEUilCIJC5pAQrn3Gs0H/Q8JVnHEREREel6EhxBkVBtaS/nmr6diCZzULS7RV1HwzBB+pbOTc+7RsFDkfZJepJMEREREUlQwiMoEqou7dDcS5tocstI/YYBju6eJLOhtAVtohGj1B7RC8AoFCWSKAUoRERERDKufWMidJGbOo1W8Yjekfh+vMfHTBfxlvHo1swajlBJ17SlNAUo0pTqQrqWYDDIhAkTGDt2LGeddRZ79uxp9TG33347o0aNYs6cOWloYeopQCEiIiKSae1cxaO7X+SmkmFNXkAnvp/I4zvepq7EsCZHGKQnBwWkesxGw/4j0haFhYW89957rFixgn79+nHHHXe0+pg777yT559/ngULFrTpGKFQqKPNTCkFKEREREQyLtFVPCLfNqeoOQI0PUQ/4SSZzeSg0K8uXvryqqQrB4WmeEjHTJ06lc2bN0e3f/nLX3Lccccxbtw4fvrTnwLwne98h3Xr1jFr1ixuu+02qqqquOSSSzjuuOOYOHEizzzjLaD5wAMPcM4553DWWWcxY8aMZvdXXl7OqFGj+Kd/+ifGjBnDjBkzOHDgAABr167l1FNPZfz48UyaNIlPP/202f10RDJX8RARERGR9lBSiezTzK8i0d9QfQ6K2OEYSqLYeIpHzB2pPnDcAVNHIyg6sb/Oh60fJnefhx4Lp/+iTVXr6upYtGgRl156KQALFy5kzZo1vP322zjnmDVrFq+++ip33303L7zwAi+//DIDBgzg+uuv5+STT+b+++9nz549TJkyhVNPPRWAN998kw8++IB+/fo1u7+hQ4eyZs0aHnnkEe69917OPfdcnnzySf7hH/6BOXPmMH/+fM4++2yqq6sJh8PN7ufEE09s98ukAIWIiIhI1kgwSWYKW9LdNVwmsj6GlGCekPRdD3dq6RttkJ4pHuk5gnQ1Bw4cYMKECZSXlzN58mSmT58OeAGKhQsXMnHiRAAqKytZs2ZNo0DAwoULefbZZ7n11lsBqK6uZsOGDQBMnz6dfv36tbi/oUOHMnz4cCZMmADA5MmTKS8vZ9++fWzevJmzzz4bgIKCgoTalQgFKERERESyRZtzUKQroWD3Fj8to505KJr4HWmKR+MkpNHylB/Y/5nyJJnKQdGptXGkQ7JFclBUVFRw5plncscdd3DVVVfhnOO6665j7ty5LT7eOceTTz7JMcccE1e+ZMkSevToEVevqf2Vl5eTn58f3Q4Ggxw4cKDZHDxtbVcilINCREREJNNcojkoEqkt7dFc7CfxKR6ecMwHfOecZvM0lLZZTulKkpn6Y0jXVVxczO23386tt95KbW0tM2fO5P7776eyshKAzZs3s3379kaPmzlzJr/97W+jAYXly5c3uf+27i+id+/elJSU8PTTTwNQU1PD/v37E95PW2gEhYiIiEjGtffb+SQ3Q6K8VRhigwp+eXuTZOpatYEGq6RES9PUqbXMqGS5iRMnMn78eB599FEuuOACVq9ezdSpUwHo2bMnDz30EIMGDYp7zA033MA111zDuHHjcM5RWlrKc88912jfM2bMaHJ/wWCw2fY8+OCDzJ07l5/85Cfk5uby+OOPN7ufhu1KhAIUIiIiIpnWzmVG03Yx1w01SuIYKU/wNdcqHm2Ttov5dC0z2swUFpGWREYiRPz5z3+O3r766qu5+uqrGz2mvLw8eruwsJD/+Z//aVTn4osv5uKLL44ra25/K1asiN7+l3/5l+jtESNGsHjx4kb1m9tPe2mKh4iIiEjGJXYpo0U/0iMuqNDOq82mVvFwWsXD77sdX8a1HUf2fqR6BEWDETgi0jZpCVCY2Wlm9rGZrTWz+ek4poiIiEinkfAICl34pFpzv4l2T/HoUGu6HqPhCBUXLU/tgTWCQiSbpTxAYWZB4A7gdGA08C0zG53q44qIiIh0Hu1Lkimp03AVho4GhRruq3uPn2gsfaOC0jWCQu/TzkijXpIv0dc0HTkopgBrnXPrAMzsUWA2sCoNx06fzcugrrbN1bfvq2ZX5cEUNkhEREQ6i5yaXRwFlO86wM7yXa3W37T7AKApHqm2bW81S/3fR+Q1T1RkKseKzRXs2e999qupDXf7JBRmcLAuHH19d1bWpO/AAJvehtyilB1mZGgV7IWPluxJ2TEkuUK5fdiyeSN9intnbAqWC+TggvmtV4zRIz9700o65/jiiy8oKCho82PS8WwGAxtjtjcBx6fhuOn1xwth76Y2Vx/k/xMRERGJ+NX/fc6zL7/Zprr5OQGCilCkTI/8IH/5cAt/+XBLtCw/J0BOILHXvGe+lxX/mj++F7//vOy9qEiHHnk57KsO8c274/t7yi+28np6Px88O6WH+c/Ijb+m9DCSRLV5fdg06UesLz6CTEUQ91PALterzfUNGNy3MHUNSoKCggJKSkraXN9SPYzFzM4BZjrnLvO3LwCmOOeujKlzOXA5wNChQyevX78+pW1KifVvQKi6zdW3VlSzI12RYhEREcl6LpBLxcDJEGjbBdphxQUcNajtH2QlMeu/qGLDrv1xZYf2LmDEIYm95nVhx7sbdlNdWxdXPn5IH3oX5Ha4nZ1VVU2I5Rv2xE2dyQsGmDysLznBFM5CDx2EjW9BOJS6YwC799eyaff+1iuKxDhYOIj9fY5O6DFfGTEwRa1JLTNb5pwra1SehgDFVOBnzrmZ/vZ1AM65/2iqfllZmVu6dGlK2yQiIiIiIiIimdFcgCIdq3i8A4wws+FmlgecDzybhuOKiIiIiIiISCeR8slvzrmQmV0B/A0IAvc751am+rgiIiIiIiIi0nmkfIpHosxsB9AJk1AAMADYmelGiKSY+rl0B+rn0h2on0t3oH4u3UFn7OfDnHONEmhkXYCiMzOzpU3NoxHpStTPpTtQP5fuQP1cugP1c+kOulI/T0cOChERERERERGRFilAISIiIiIiIiIZpwBFct2T6QaIpIH6uXQH6ufSHaifS3egfi7dQZfp58pBISIiIiIiIiIZpxEUIiIiIiIiIpJxClCIiIiIiIiISMYpQJEEZnaamX1sZmvNbH6m2yOSCDMbYmYvm9lqM1tpZlf75f3M7EUzW+P/7OuXm5nd7vf3D8xsUsy+LvLrrzGzizL1nESaY2ZBM1tuZs/528PNbInfZ/9oZnl+eb6/vda/vzRmH9f55R+b2czMPBORpplZHzN7wsw+8s/rU3U+l67GzL7vf2ZZYWaPmFmBzufS2ZnZ/Wa23cxWxJQl7fxtZpPN7EP/MbebmaX3GbaNAhQdZGZB4A7gdGA08C0zG53ZVokkJAT8wDk3CjgBmOf34fnAIufcCGCRvw1eXx/h/7scuAu8EyjwU+B4YArw08hJVCSLXA2sjtn+T+A2v5/vBi71yy8FdjvnjgJu8+vhvzfOB8YApwF3+n8HRLLFb4AXnHMjgfF4/V3nc+kyzGwwcBVQ5pwbCwTxzss6n0tn9wBeX4yVzPP3XX7dyOMaHisrKEDRcVOAtc65dc65g8CjwOwMt0mkzZxzW5xz7/q39+F9mB2M149/71f7PfB1//Zs4A/O8xbQx8wOA2YCLzrndjnndgMvkqUnPumezKwEOAP4X3/bgJOBJ/wqDft5pP8/AZzi158NPOqcq3HOfQasxfs7IJJxZtYbOBG4D8A5d9A5twedz6XryQEKzSwHKAK2oPO5dHLOuVeBXQ2Kk3L+9u/r7Zx703mrZPwhZl9ZRQGKjhsMbIzZ3uSXiXQ6/rDHicAS4BDn3BbwghjAIL9ac31e7wXJdr8GfgiE/e3+wB7nXMjfju2z0f7s31/h11c/l2x2BLAD+J0/lel/zawHOp9LF+Kc2wzcCmzAC0xUAMvQ+Vy6pmSdvwf7txuWZx0FKDquqbk7WrtVOh0z6wk8CVzjnNvbUtUmylwL5SIZZ2ZnAtudc8tii5uo6lq5T/1cslkOMAm4yzk3EaiifjhwU9TPpdPxh6vPBoYDhwM98Ia7N6TzuXRlifbrTtPfFaDouE3AkJjtEuDzDLVFpF3MLBcvOLHAOfcnv3ibPxwM/+d2v7y5Pq/3gmSzacAsMyvHm4p3Mt6Iij7+EGGI77PR/uzfX4w37FL9XLLZJmCTc26Jv/0EXsBC53PpSk4FPnPO7XDO1QJ/Ar6EzufSNSXr/L3Jv92wPOsoQNFx7wAj/MzBeXjJdp7NcJtE2syfh3kfsNo596uYu54FIpl/LwKeiSm/0M8efAJQ4Q85+xsww8z6+t9uzPDLRDLOOXedc67EOVeKd55e7JybA7wMfNOv1rCfR/r/N/36zi8/388KPxwvydTbaXoaIi1yzm0FNprZMX7RKcAqdD6XrmUDcIKZFfmfYSL9XOdz6YqScv7279tnZif475sLY/aVVXJaryItcc6FzOwKvM4QBO53zq3McLNEEjENuAD40Mze88uuB34BPGZml+J9GDjHv+954Gt4yaT2A/8I4JzbZWb/jhe0A/g351zDRD8i2eZHwKNmdhOwHD+5oP/zQTNbi/dN2/kAzrmVZvYY3ofhEDDPOVeX/maLNOtKYIH/pck6vHN0AJ3PpYtwzi0xsyeAd/HOw8uBe4C/oPO5dGJm9ghwEjDAzDbhrcaRzM/j38VbKaQQ+Kv/L+uYF0AUEREREREREckcTfEQERGRRszsJP8bnMj2SjM7KYn7LzezU9v52O+a2TYzqzSz/slqk4iIiGSWAhQiIiKdjJm9Yma7zSw/Xcd0zo1xzr3iH/9nZvZQuo4dy0/q+ytghnOup3Puiw7sq9TMXExiPREREckgBShEREQ6ETMrBb6CtzzYrIw2JjMOAQqAjOd78pOT6bOUiIhIkuiPqoiISOdyIfAWXqKri2LvMLMHzOxOM/urP/3hdTM71Mx+7Y+4+MjMJsbULzez68xslX//78ysoKmDRqZkmNlpeIl0z/OP8X7s/TH140ZZmNkFZrbezL4ws39tsO+Amc03s0/9+x8zs35NtOFo4GN/c4+ZLfbLR5rZi2a2y8w+NrNzYx5zhpktN7O9ZrbRzH4Ws8tXY/ZVaWZTm2h33CgLf/TKz83sdbzEZEeYWbGZ3WdmW8xss5ndZGbBpl5HERERaZ4CFCIiIp3LhcAC/99MMzukwf3nAj8GBgA1wJt42e4HAE/gTY+INQeYCRwJHO0/tlnOuReAm4E/+lMsxrfWYDMbDdyFt2LQ4UB/4tdjvwr4OvBV//7dwB1NHPsTYIy/2cc5d7KZ9QBeBB4GBgHfAu40s0i9KrzXrA9wBvBdM/u6f9+JMfvq6Zx7s7Xn4rsAuBzoBawHfo+3CsBRwES8Zd0ua+O+RERExKcAhYiISCdhZl8GhgGPOeeWAZ8C325Q7Snn3DLnXDXwFFDtnPuDv3zeH/EuoGP9t3Nuo78M2c/xLvCT7ZvAc865V51zNcANQDjm/rnAvzrnNvn3/wz4ZhtzQ5wJlDvnfuecCznn3gWe9I+Jc+4V59yHzrmwc+4D4BG8QEhHPOCcW+mcCwH9gNOBa5xzVc657cBt+EsZioiISNspKZSIiEjncRGw0Dm3099+2C+7LabOtpjbB5rY7tlgnxtjbq/HG8GQbIfHHsc5V2VmsckthwFPmVls0KIOL9/E5lb2PQw43sz2xJTlAA8CmNnxeOvIjwXygHzg8XY+j4jY12wYkAtsMbNIWaBBHREREWkDBShEREQ6ATMrxJu+ETSzrX5xPtDHzMY7595v566HxNweCnzehse4JsqqgKKY7UNjbm8BRkU2zKwIb5pHxEbgEufc6204dkMbgf9zzk1v5v6Hgf8GTnfOVZvZr/Gmu0DizyMi9nEb8abSDPBHVIiIiEg7aYqHiIhI5/B1vFEFo4EJ/r9RwP/Dy7HQXvPMrMRPSnk93jSQ1mwDShusYPEecL6Z5ZpZGf4UC98TwJlm9mUzywP+jfjPIHcDPzezYQBmNtDMZrex/c8BR/tJOHP9f8eZWSQg0gvY5QcnphA/JWYH3lSTIxo8jxPNbKiZFQPXtXRw59wWYCHwX2bW20/4eaSZdXQaiYiISLejAIWIiEjncBHwO+fcBufc1sg/vNEBc9qYr6EpD+NdYK/z/93UhsdEpkh8YWbv+rdvwEu0uRu40d8vAM65lcA8v2yLX2dTzP5+AzwLLDSzfXirlBzflsY75/bhJaU8H2/0x1bgP/FGlwB8D/g3f78/AR6Leex+vLwbr5vZHjM7wTn3Il6Q5gNgGV4ApDUX4k0fWeU/tyeAw9rSfhEREalnzjU1ulFERES6OjMrBy5zzr2U6baIiIiIaASFiIiIiIiIiGScAhQiIiIiIiIiknGa4iEiIiIiIiIiGacRFCIiIiIiIiKSce3N+J0yAwYMcKWlpZluhoiIiIiIiIikwLJly3Y65wY2LM+6AEVpaSlLly7NdDNEREREREREJAXMbH1T5ZriISIiIiIiIiIZl3UjKEREREREpGvZtHs/VTV1cWXD+hdRkBvMUItEJBspQCEiIiIiIinzybZ9zLjt1UblZxx7GHfMmZSBFolItlKAQkREREREUmb73hoAfjD9aI4c1BOAX734CV9U1WSyWSKShRSgEBERERGRlKmu9aZ2fPWYgYwr6QPAH94sJxzOYKNEJCspSaaIiIiIiKRMTciLRMTmmwgGjDrnMtUkEclSClCIiIiIiEjKREZQFOTUBygCZoTCClCISDxN8RARERERkaS54+W1vP3Zruj2looDAOTn1n83mhMwwgpQiEgDClCIiIiIiEirnHM8tXwzFQdq48qPK+3H2MHF0e37X/sMMxjctwiAwrwcThtzKP175EXrBANGnQIUItJAWgIUZtYH+F9gLOCAS5xzb6bj2CIiIiIi3dnPnl3J0+9tjisrLszlqe9No19M0KA1H2/bxz8/9n6j8vElxTxzxZej2/uqQ1zy5eHMP31ks/sKmBFWDgoRaSBdIyh+A7zgnPummeUBRWk6roiIiIh0Ab95aQ2vfLI9rqx/jzz++9uT4pIvdlbPvv85G3ftjysbdVgvTh55SIf3/da6LyguzOWkowcCsHnPAV5avZ31X1QlFKCorA4BcOecSXzpyP4A3PjnVby0ehu/eWkNAGHnOFgXpldBy5cZOUHloBCRxlIeoDCz3sCJwMUAzrmDwMFUH1dEREREuo4n3t3IwVCYow/pBcBHW/exfMMeRt7wQtxF9jcmDubHZ47OVDPb5cDBOq56ZHmj8r5FuSz/yYwO739fdYgTjujPjbPHArBk3Re8tHo7+w/WJbSf6lpvNY7+PfLoU+S95lOG9+Op5Zu57aVPovWCAWPkob1a3FfAlINCRBpLxwiKI4AdwO/MbDywDLjaOVcVqWBmlwOXAwwdOjQNTRIRERGRzqSqpo6vHXsoN339WAAOhsL8+qVP2Od/qw+w+KPtLIlJzthZ7D/oPYcfnzGKC6YOA+AXf/2IP76zMeF97a46yFPLNxMKh6Nlu6oO0jO/fpRJj3zvEmDzngNs21sdLe9blEdeTvOL/EVX44gZsfKtKUM5r2xIo7qBgLXYTi0zKiJNSUeAIgeYBFzpnFtiZr8B5gM3RCo45+4B7gEoKyvTmUpERESkGwuHHet2VsXlKKisDkUvrAHycgL88LT4HAfbH1xK+c74aRKdQU3ICyb0zM8h31+KMz8nSKgu8Y/Fz77/Of/23KpG5UcdUj+iobgwF4AfPvFBXJ0vHdmfh//phOj21opq1u2ojG5/sLkCgMK8+Ck1rQUjmhI0a9fzE5GuLR0Bik3AJufcEn/7CbwAhYiIiIhIIw++tZ6fPruyUXn/VvIl5OUEqa0Lt1gnGzU1MiE3aNSGE38uNSFvX2//6yn0yPM+6ptBUV79x/4h/Yq4+x8ms6uqftb1U8s38dnOqrh9XfaHd1ixeW9cmRn0KcpNuF0NBQOdI0nm/a99xmNL40ey9MzP4X8umEz/nvkZapVI15XyAIVzbquZbTSzY5xzHwOnAI3DuiIiIiIiwI59NQQMfvutSdGyYAC+MmJgi4/LCwaioxE6k0ibC3Lrp1fkBAI4B3VhRzCBEQqRxJO9C3JbTB562thD47bX7ajkg00VvLRqW7SsfOd+vnbsoVw0tTRa1q9HHoN6FbS5Pc3pLMuMLly1lW17qzmutB/gTZdZun43a7dXKkAhkgLpWsXjSmCBv4LHOuAf03RcEREREcmgyppQ3IVowKBXQcvfwB+sC5OXE+CMcYcldKy8nAAHO8EIiv9a+DF3vfJpdDvy6sQGFHKCXlCiti5MMND2VUoiiScTCWoADO5bSE0ozGV/WBpXXjasH8cf0T+hfbVFIGDsOVDLNY/WJwfNDQb4/vSjObxPYdKP116hOsfow3tzz4VlALz56Rd86963lD9DJEXSEqBwzr0HlKXjWCIiIiKSHf7ywRbmPfxuo/IvHzWAb04uiW4XF+Zy0jEDMfMuqg+GwuQFm0/W2Jz8nADVtXVs31ef+DEnEEhoKc10WPX5Xvr2yOPcsvrXoCgvh+OH1wcCcv0ARaJLcUbqBy2xAMWFU0uZMrwfsbNKAgEYeWjvhPbTVicc0Z831u5k+cY9gBcI2LznAGWlfTnvuOxJml9bF47LfRIJ/LRj9o2ItEG6RlCIiIiISDfz8bZ9mMG/fm1UNPjwny98xGtrd/La2p1xdV/65xM5apCXyLEmFCYvp+2jBiJ65AfZVx1iys8XxZXfOWcSXzs2sdEYqRQKOwb3KeTamSObrZMT8AI0oQRHhNSFHQFLPHFlMGCMObw4ocd0xKzxhzNr/OHR7e17q5ly86KEAzKpVlvnyI0JlkVuagSFSGooQCEiIiIiSfHY0o1sj1m28rU1O+hdkMtlXzkiWvbtKUPZGlPn3fW7+cHj77Oz8iBHDfLKDobC5Lew3GVzLv7ScAb3KYomX6wJhfn351bx+Z4D7XxGqREKh8lpJYCQG53ikdiFcKI5K7JFpM3ZtrJHbV04+rsACFhkBEV2tVOkq1CAQkREREQ6bGtFdaNlK8FbujJWYV6Q4QN6RLcrq0MA/N8nO9jtryqxYVcVee0IUAzslc+3j6+fHlBdW8e/P7cq4Yv8VAvVtR5EiHxrP+O2/4upa8w/fWTc9JiGOmuAIjpiJMsu/ENhR07cCArvte0MCT5FOiMFKEREREQkYQdDYbZU1I9MWLOtEvCmU0wffUi0vLWRAocU5xMw4pJGAhxX2rfDbYxc5Gfb0qOhsKOwhRU2AE4eOYh/nFbKwZhVSZ58dxPLN+xuMUARCrvoxX5nEkkKWpdlyR0OhpoeQaEpHiKpoQCFiIiIiCTs+4+9x18+2NKo/LDigrg5+60Z1KuA1+efTMWB2rjywUlYySEYMMyyM0DR2iiHQb0L+OlZY+LKFn+0vdXnEslB0dlEp3gkYWTCis0VfPvet6husOTsD6YfzdyvHtns45xzrNleGRcUqq6tIzegERQi6aIAhYiIiIgkbFtFNSMG9eS7J9Vf8PXIz2F8SZ+E93VYcSGHFadmacncYCALp3i0noOiKW15LnUNpiR0FpHXoy4Jv6tPd1SytzrEt6YMobjQW8Hl0Xc28OHmihYf97eVW/nOQ41XnelV0HgVDwUoRFJDAQoRERGRbBCug9rkJnPcWVXDzsqDcWUDe+bRv0d+h/cdDFVxRHEe3xjTICBRW9XhfSdTcaAGDlZCTWWmmxKVW7efHkbCbeoZqMZqq1p8XKC2ip5WnVXPty2COIpo/fm1RbimkiKqmfelwyjp6wW+lny8AVfj7zu3EAKNp9hE3iu3njOe4sJcAAw4bni/aJ1okkxN8RBJCXNZ9uYqKytzS5cuzXQzRERERNLrnr+Dzxt/eysiSTb8q3DRs42Kf/f6Z9z451W895Pp9CnKa/Kh5TurOOnWV/jVueP5xqTmc4GISMvMbJlzrqxhuUZQiIiIiGSD3eVQMgVGnZWU3YUd/MdfVzP68N6MOrQXAKu27GP1lr1c/7VRdDRNwd2vfsqgXgV8Y+Lgjjc2hX69aA1FeUGG9SuKlvUqyGHqkQM6/Bq0VXWojtjcjw+8Uc7hfQr4+oTEXrv7X/+MHvk5nFc2BICqgyF+/dKaRvWG9C3kwqmlHWlyRvzihY84bng/TjnGW292X02I5z/cEs0J4XD4/3n//O9ZcwLGGcceRr8eXlBh6frd/G3lVq45dQQ98rzLnYeWrMc5uKDnO957rQmR/B4t5VDRFA+R1FKAQkRERCQrODhsPEy7Kil7O1hbx73PvcCPxozkbD9PxEuL13Dvpk/44QmnJ5TIsikPv/4ykwf25RvTJiSjuSmzdv27vL52J2z1tqtrwxyorePdv58evaBNpbc/28V597xJ/KDlozn3mBK+Pm18Qvv68/uv0zM/h/OmHQ/Alu37uPdvr/If3ziW08YcGq3XsyAHOmEeigf/9gL7+g5mwvijAVi4ahvXbfmQ8UP6UJgbwPCSngbM+wlQEwrz9me76DlwPGdP9EY0vBdex70frObKqTOgwJuq8dInb7NmWyXTbCuDanbw9FvrKcwNMmvC4TGrvXi/pJbeG4GApniIpJICFCIiIiLZwDmiV11JcDD6bXD9PiMXXt7SiR27gG24/GK2+u9vT4rbXrBkPf/61ApCaVrZY9Pu/TgHV58yIi4gcvLIQQnvKzcYYOOu/dz32mcAfL7Hy1lyWHEBfdMQbEm1gtwgC5ZsYMGSDdEyM3jo0in08gMNDW3fV82Uny+iqqYuWhYJNOTF9PEhfYt45eMdLK+q4PjAQX789AoABvTK56tHDwSIjtRoqV8HI8uMZtfCMCJdhgIUIiIiIl1QrX+xlZdTf5EWuZ3ospuf7qjk5r/KEA5bAAAdUUlEQVSsjgY9AL6oqonbd2eRk8TlLNuixv89fGvKUA4tLujQvob1K+Ltz3bx78+tipblBo1h/Xt0aL/Z4r+/PYk12/fFlZX0LWw2OAFEp3BU1YSiZU1N1bhx1hiuPOUoev31afI2lfPk33+Jv7/rDXZV1cQ9LjdoWAuBwsiKo6u2VLBo9bZo+REDezJ8QNf4PYhkkgIUIiIiIlnBQRKzIjQ1XD06giLBAMUrH+9g0UfbGV9SHB3ifuzgYk4ZeUiSWps+Qf8KM105BGpqvW/285MQzLnlm+P48Zmj48rycwIU5DZekaIzmnpkf6Ye2T+hxxTmBgkY3LrwY25f5OXjOFgXJhiwaL4I8KZmDOpVALk5YFDa38tJ8vyHW9lSUQ3A0vLdcaMumtIjL4fcoPHQWxt46K36kR5HDOzB4h+clFDbRaQxBShEREREsoEjqVM8It8i58RcpOXFTPFothnOcdtLa9i4a3+0bPWWveQEjKfnTWvx2+XOoCMjKCprQtGRKRF9inJbfE0iIyjyczseoDCz6PKX4gkEjP/4xrGs2Ra/NOmIQ3o2/QAzcI7iwlwOLy7gxVXbeHFV/UiIcSXFLR6vR34OL//LSeyqql++9/ZFa1ixeW/7n4SIRClAISIiItJFxAYe9h/0vrlvaorHlY8spzDmW/eLv1TKDD/JYsWBWm5ftIa+RblxQ+vPGHdYpw9OQP0qDInmoPhwUwWz73iNhnGNi6YO48bZY6PblTUhdsdcvO7Y500haO2beWm/844bmvBjcoIB/t+PTm403aktv6eSvkWU9K1fFaZfjzxvhRER6TAFKERERESyQsemePz6pU+aXHIyP6c+EDFpaF++fNQAakJ10QuzlZ/v5U/vbo4GKPbsrwXghjNH841JJe1uT7Zq6wgK51zcNJCPtu4l7OCaU0fQxx/FcP/r5azdURn3mJN++Qo7K2vi9lWQGyBHAYosYeAHE7xpIB2fHmMYWtRDJDkUoBARERHJBh1cxWPdjir6FOXyT185IlqWnxPgxKMHRLeH9i/iocuOj3vcBfct4W+rtjLqhheA+uUT+xR1zakEkUBBazkovn7H67y/qaJR+WVfOYKe+d5H6FfX7OSznVW88vF2wBu1srOyhm9MHByXS6FUyROzh0GyowlmaPyESJIoQCEiIiKSFTp2ieOAfkV5zPu7oxJ63DWnHs2ow3rHlRXmBjnhiMSSFXYWbR1B8dHWfUwp7cdXRsQHeCLBCfCW91z80XYu/t07cY89a/zh/F07lhGVdElBgEIRCpGkSFuAwsyCwFJgs3PuzHQdV0RERKTzaP8IirBz7Xr45GF9mTysb7uP29lEclDUhZvPQREOO2pCYaYe2Z8rTxnRbL0fnzGav58cPw0mPyfA6AYBH8kmqcijUj9tREQ6Jp0jKK4GVgM6Y4uIiIg01MEpHrQvPtHtREZQfLqjiqK8+o/Cw/oXRbcjK2+0tnxnYV6QSUO7T3CnS0jBcAeNoBBJnrQEKMysBDgD+Dnwz+k4poiIiEjn0tEpHo5AF1hlI9V6+FM0fvjEB3HlM0Yfwj0XlgFQXeutgFKQhKVBJRslOUCR9D2KdF/pGkHxa+CHQK80HU9ERESkWwmHOzYAo7sYV1LMg5dOoaomFC37/RvrWfTRdspuehGoT6BZ2MoICumMkv8m8UZQKEQhkgwpD1CY2ZnAdufcMjM7qZk6lwOXAwwdmvg6xiIiIiKdXgeneDgcpkkerTIzvjJiYFzZ4X0KeWzpxrhh+nk5AU4epUSXXU4qpnhgGkEhkiTpGEExDZhlZl8DCoDeZvaQc+4fIhWcc/cA9wCUlZXp/S0iIiLdUAeneHQwhUV3Nq6kD+NK+mS6GZI2ykEhkq1SPrHOOXedc67EOVcKnA8sjg1OiIiIiEhER1bx8EYHiEhLUjDFA03xEEkWZf4RERERyQYdHgLhNMFDpDUpWcVDUzxEkiWdy4zinHsFeCWdxxQRERHpHBwd+XbXOQjoqyeRVqRozQ1FKESSQn/GRERERLqAsFOSTJFMMFN8QiRZFKAQERERyQYdXsVDSTJFWpWqVTyUg0IkKRSgEBEREckKHZ/ioSSZIq1J/hQPjaAQSR4FKERERES6AG+Kh4ikW0DLjIokjQIUIiIiItmgw6t4aIqHSKtStoqHIhQiyaAAhYiIiEhWSMIqHopQiLQiBVM80AgKkWRRgEJERESkC9AUD5EMUQ4KkaRRgEJEREQkG3R0FY+OzxAR6fpSkNHSFKEQSRoFKERERESyQgeneOC0iodIq1K1iociFCLJoACFiIiISBcQdh0Jb4h0I8lOkpn8XYp0WwpQiIiIiGSLjoyA0BQPkdal4E2SglkjIt2WAhQiIiIimRb9+rVjUzy0iodIa1KxiofhNIRCJCkUoBARERHJtCRc3IQ1gkKkbZI9xUMjKESSRgEKERERkWzRoVU8nLeagIg0LxVTPFAOCpFkUYBCREREJOOSMcVDIyhE2ibZ64zqjSeSLApQiIiIiGRa0qZ46EJJpFUpWMXD262GUYh0lAIUIiIiItmiQ6t4OE3wEGlNilbxAE3zEEmGnEw3QERERESSM8UjoAiFSCtSs4oHSd+rpFttbS2bNm2iuro6003pUgoKCigpKSE3N7dN9RWgEBEREcm0pEzxcJriIdIWKVjFw9utoyNBRsmsTZs20atXL0pLS3UuTRLnHF988QWbNm1i+PDhbXpMyqd4mNkQM3vZzFab2UozuzrVxxQRERHplDo2w0OXRiKtSdEqHqARFJ1ddXU1/fv3V3AiicyM/v37JzQqJR0jKELAD5xz75pZL2CZmb3onFuVhmOLiIiIdAJJmOKhJJkibZCCKR7KQdFl6ByafIm+pikfQeGc2+Kce9e/vQ9YDQxO9XFFREREOo3IlU0HPhx7UzyS1B6RrsosBVM8IjkoFKEQ6ai0ruJhZqXARGBJg/LLzWypmS3dsWNHOpskIiIi0mUoPiGSORpBIR0VDAaZMGFC9F95eXnC+9izZw933nln8huXJmlLkmlmPYEngWucc3tj73PO3QPcA1BWVqa3toiIiHQziU/x2PDFfg7U1kW3q2vrCGgIhUgrUjfFQ6SjCgsLee+99zq0j0iA4nvf+15Cj6urqyMYDHbo2MmQlgCFmeXiBScWOOf+lI5jioiIiHQaCU7xWLZ+N39/1xuNyicO7ZvMVol0PamY4uEHFsMaQtFl3Pjnlaz6fG/rFRMw+vDe/PSsMQk/rq6ujvnz5/PKK69QU1PDvHnzmDt3LpWVlcyePZvdu3dTW1vLTTfdxOzZs5k/fz6ffvopEyZMYPr06ZxxxhnceuutPPfccwBcccUVlJWVcfHFF1NaWsoll1zCwoULueKKKzjuuOOYN28eO3bsoKioiHvvvZeRI0cm9XVoTcoDFOZNyroPWO2c+1WqjyciIiLS1e3ZfxCAH502kmH9i6LlZaUKUIikm5JkSrIcOHCACRMmADB8+HCeeuop7rvvPoqLi3nnnXeoqalh2rRpzJgxgyFDhvDUU0/Ru3dvdu7cyQknnMCsWbP4xS9+wYoVK6IjMV555ZUWj1lQUMBrr70GwCmnnMLdd9/NiBEjWLJkCd/73vdYvHhxSp9zQ+kYQTENuAD40Mwi41Wud849n4Zji4iIiHQCiU3xCPvVvzJiAGMHF6emSSJdUgqmePg/FZ/oOtoz0iEZmprisXDhQj744AOeeOIJACoqKlizZg0lJSVcf/31vPrqqwQCATZv3sy2bdsSPuZ5550HQGVlJW+88QbnnHNO9L6ampoOPJv2SXmAwjn3GsrZJCIiItK8BKd4RIaSK+eESIJSsoqH99NpCIWkgHOO3/72t8ycOTOu/IEHHmDHjh0sW7aM3NxcSktLqa6ubvT4nJwcwuFwdLthnR49egAQDofp06dPh3NgdFRaV/EQERERkaYkdmETuRBSfEKkPVKTg0LhCUmFmTNnctddd1FbWwvAJ598QlVVFRUVFQwaNIjc3Fxefvll1q9fD0CvXr3Yt29f9PHDhg1j1apV1NTUUFFRwaJFi5o8Tu/evRk+fDiPP/444P2def/991P87BpTgEJEREQkayQ2xUMjKEQSlfz3jHJQSCpddtlljB49mkmTJjF27Fjmzp1LKBRizpw5LF26lLKyMhYsWBBNZtm/f3+mTZvG2LFjufbaaxkyZAjnnnsu48aNY86cOUycOLHZYy1YsID77ruP8ePHM2bMGJ555pl0Pc2otC0zKiIiIiLNaPcUj1Q1SKSLSmVQTwEK6aDKyspGZYFAgJtvvpmbb7650X1vvvlmk/t5+OGH47ZvueUWbrnllkb1ysvL47aHDx/OCy+8kECLk08BChEREZGMS+zKJhyNZyhCIdIuziUtWBF5H27bV82B2jrACx4O7JWv96hIghSgEBEREckabbuYcRpBIdJOyX/T5Od4s+Zn3PZqXPkNZ47m0i8PT/rxRLoyBShEREREMk2reIikR2zCiCS9f2ZPOJz8nAChcP1IqJ88s4JtexuvqCAiLVOAQkRERCTjEpzi4a8YpwCFSHslL2FEr4JczikbEld203OrqAsrKYVIorSKh4iIiEjWSGwEheITIolKz5smEDAFKETaQQEKERERkUxLcIpHpHpASShEEpOmNUGDAYsGEkWk7RSgEBEREelktMyoSEelOEBhGkEhiQsGg0yYMIGxY8dy1llnsWfPnlYfc/vttzNq1CjmzJmThhamngIUIiIiIlmjrVM8vJ/KQSGSqPRN8dAICklUYWEh7733HitWrKBfv37ccccdrT7mzjvv5Pnnn2fBggVtOkYoFOpoM1NKSTJFREREMq2dq3goPCGSoMibJsXBg4DVJ7OVTuiv82Hrh8nd56HHwum/aHP1qVOn8sEHH0S3f/nLX/LYY49RU1PD2WefzY033sh3vvMd1q1bx6xZs7jkkku4/PLLufLKK/nwww8JhUL87Gc/Y/bs2TzwwAP85S9/obq6mqqqKhYvXtzk/srLyzn99NP58pe/zBtvvMHgwYN55plnKCwsZO3atXznO99hx44dBINBHn/8cY488sgm99MRGkEhIiIiknGRi6W25qCIJMlUiEIkMdEIRUqPEjSjTiMopJ3q6upYtGgRs2bNAmDhwoWsWbOGt99+m/fee49ly5bx6quvcvfdd3P44Yfz8ssv8/3vf5+f//znnHzyybzzzju8/PLLXHvttVRVVQHw5ptv8vvf/57Fixc3uz+ANWvWMG/ePFauXEmfPn148sknAZgzZw7z5s3j/fff54033uCwww5rcT/tpREUIiIiIp1M5LJHOShEslMgYISVg6LzSmCkQzIdOHCACRMmUF5ezuTJk5k+fTrgBSgWLlzIxIkTAaisrGTNmjWceOKJcY9fuHAhzz77LLfeeisA1dXVbNiwAYDp06fTr1+/Fvc3dOhQhg8fzoQJEwCYPHky5eXl7Nu3j82bN3P22WcDUFBQkFC7EqEAhYiIiEimJTrFIxxJkqkIhUhC0riKh0ZQSKIiOSgqKio488wzueOOO7jqqqtwznHdddcxd+7cFh/vnOPJJ5/kmGOOiStfsmQJPXr0iKvX1P7Ky8vJz8+PbgeDQQ4cOBAdtdfU8drSrkRoioeIiIhIxiV2IaMkmSLtlcYpHhpBIe1UXFzM7bffzq233kptbS0zZ87k/vvvp7KyEoDNmzezffv2Ro+bOXMmv/3tb6MBheXLlze5/7buL6J3796UlJTw9NNPA1BTU8P+/fsT3k9baASFiIiISCcTTZKpr5pEspJW8ZCOmjhxIuPHj+fRRx/lggsuYPXq1UydOhWAnj178tBDDzFo0KC4x9xwww1cc801jBs3DuccpaWlPPfcc432PWPGjCb3FwwGm23Pgw8+yNy5c/nJT35Cbm4ujz/+eLP7adiuRFhzwzUypayszC1dujTTzRARERFJn33b4L+OhjP+C467rNXq9766jp8/v5oVN86kZ76+bxJps9dug5d+BtdvgbyilB1mxm3/xxEDenL3BZNTdgxJrtWrVzNq1KhMN6NLauq1NbNlzrmyhnUVdxcRERHJuMRW8Yh8M6skmSKJSs8Uj4BW8RBpl7QEKMzsNDP72MzWmtn8dBxTREREpNNI8EJGOShEOigNSTK1iodI4lI+JtDMgsAdwHRgE/COmT3rnFuV6mNnsz+9u4k/v/85UL+GeeQjRv1nDYvbtrjb9fcFA8bRh/SiuDA3uv/iwlyOP6JftB5A/5555AbrY1KhujCVNaHotnOw8vO9VB2sLztwsI7Ne7zMrdF2WvzxLaYs9nOSmcXcF1MW2TaLe86Rxzd6nuYlGnL43xg5cDjCzmuzw3k/ncP5zyPsHAdDYaprw3Gvu2sQLW/qb1NTf0r6FObSq6D+7RIMGEP7FVGYVz9Pq7gwl8OLC1vcV2VNiB37quOOv3VvNTV+O2PrR6ZfxZc1vfdIeXN1XRN1Y+s3n5m3/vb+g3XU1oUJO++1D4dd/W3ncM6xe38tldUh6pwjHHbUOUedXy9U5/2sCYWpOFDb5PFiFTd4zQPm9fM+RfH9/LjSfnEf0Nvaz2PLqmu7Vj+Hxn097r5m7mrqNR/WP76f9y7IZXCf7t3P9+yvZX9tXdxz2LGvJpoMzRr8zv1bcefyyH2xfQzqz+ex/bx3QS5Thsf383498sjLie/n+6pj+jmwqo393G9dRvu515/T08/7FOXSq6D+9Q0YDO1XRFFefd/vXZjT4fN5S5qKKeQd2MFXgI+2VrJ59bZWF/NYu72y2X2JSAvS9KYJBoyKA7Ws+nxvtKxXQQ4lfb1zS1N/pwCqDobYvrfxuaW6Nhw9N8Y/3jX6+xj53BBbzzunNv4c3Kiei/+7GXOYyNHafLy6ujB7DtRGPxOGwv7nw7B3bq8Le2U79lUn7W/oiEG96Nej/hzfq8C7Jor9G9q3qOm/oWHnqA3VYWZU19ZRF/s78v8WxbHmNhv3MWu6uPkxc9bwvvjrxVh9e+Q1t5eskGhKiXRMWpwCrHXOrQMws0eB2UDXClAsvgkO7Glz9THb9pG/vTLu5FL//3oNTwrx93mFlTV1hFbFv2EqgIUN6gfMyM+tfzMerA23aehZz1ZrJMaR6kF13tCgAv9fsuxvsL0yifvuTAI0P/SqtxkFuQECkYsTMwLRixSvLGBGXk6gxWHJYQcH9tbFndAqD3r9PLbv7AFebPBY89sQoX6eGPVzT8v9HApy4pNI5eUEyA0G/HN6E0GXRjdi76v/NNdUP69A/TzZ/byqwXY29PMiaiAHfv/Weh55vW25uIryguQENFtXJDH+B5C/XQ/B1F3Yzdu/la17q3nnzpQdIusZ0DdyO/qZMPIZ0bs/8rkwGX9Dqw7WUbsqTOxVUVPXRM39DR0+7Tw2BsP06lEQDeTHSsXZtuFTOuDy2Z3gX+tsDlA45/jiiy8oKGj7X/F0BCgGAxtjtjcBx8dWMLPLgcsBhg4dmoYmpcDHf4W9n7e5+jHAMUZbp5q2yBU17tyhunCjyGyjpY7yvAzDsU0wvOhjrIZ1mm1H25vcYmXXwla9ZtrUbCSzea3V8b7pi29L5Fu9WHWRr/ta0dTr2e4huq08LLnfEVijLx2a2n+bjlnXehUaJBF2OernMcUtbbZJw8ckvZ9b4/7SLfp5Bxujfh5X3NJmm3Sqfg7UBgdx6cmn861Dj2vT6POBvfIb/Y5FpBWHjoUeg2D1n1N6mFOdo64oTeeWRL6Z75CWxgg084hGIwHatPt2afQ31EEoHKbhn8zm/obWrfiEbcEr2dFrWDMjbdr2N9Q/dLu43EICBX3jy2L32MSOV+/b0s6jpUdBQQElJSVtrp+OAEVTv8f4vuPcPcA94K3ikYY2Jd93X8/YoZuKc2QijtZVPyIZja6VJQPUz1NL/Tw7qJ+nVmfo50dlugEiXd2RJ8O1a1J+mCDZf77papLxNzTZIw0lcekYF7gJGBKzXQK0faiBiIiIiIiIiHR56QhQvAOMMLPhZpYHnA88m4bjioiIiIiIiEgnkfIpHs65kJldAfwNb6TT/c65bMhHJSIiIiIiIiJZwhJd9iPVzGwHsD7T7WinAcDOTDdCJMXUz6U7UD+X7kD9XLoD9XPpDjpjPx/mnBvYsDDrAhSdmZktdc6VZbodIqmkfi7dgfq5dAfq59IdqJ9Ld9CV+rkWzxYRERERERGRjFOAQkREREREREQyTgGK5Lon0w0QSQP1c+kO1M+lO1A/l+5A/Vy6gy7Tz5WDQkREREREREQyTiMoRERERERERCTjFKAQERERERERkYxTgCIJzOw0M/vYzNaa2fxMt0ckEWY2xMxeNrPVZrbSzK72y/uZ2Ytmtsb/2dcvNzO73e/vH5jZpJh9XeTXX2NmF2XqOYk0x8yCZrbczJ7zt4eb2RK/z/7RzPL88nx/e61/f2nMPq7zyz82s5mZeSYiTTOzPmb2hJl95J/Xp+p8Ll2NmX3f/8yywsweMbMCnc+lszOz+81su5mtiClL2vnbzCab2Yf+Y243M0vvM2wbBSg6yMyCwB3A6cB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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(8, figsize=(15, 15))\n", "fig.tight_layout()\n", "\n", "window_stride = 50\n", "\n", "ax[0].plot(df_res['num_holes'], label='Feature')\n", "ax[0].plot(list(map(lambda x: x * 50, df_res['y'].tolist())), label='Reference')\n", "ax[0].title.set_text('Number of relevant holes')\n", "ax[0].legend(loc='lower right')\n", "\n", "ax[1].plot(df_res['avg_lifetime'], label='Feature')\n", "ax[1].plot(list(map(lambda x: x, df_res['y'].tolist())), label='Reference')\n", "ax[1].title.set_text('Average lifetime')\n", "ax[1].legend(loc='lower right')\n", "\n", "ax[2].plot(df_res['betti_0'], label='Feature')\n", "ax[2].plot(list(map(lambda x: x * 50, df_res['y'].tolist())), label='Reference')\n", "ax[2].title.set_text('Betti feature dim 0')\n", "ax[2].legend(loc='lower right')\n", "\n", "ax[3].plot(df_res['betti_1'], label='Feature')\n", "ax[3].plot(list(map(lambda x: x * 50, df_res['y'].tolist())), label='Reference')\n", "ax[3].title.set_text('Betti feature dim 1')\n", "ax[3].legend(loc='lower right')\n", "\n", "ax[4].plot(df_res['betti_2'], label='Feature')\n", "ax[4].plot(list(map(lambda x: x * 50, df_res['y'].tolist())), label='Reference')\n", "ax[4].title.set_text('Betti feature dim 2')\n", "ax[4].legend(loc='lower right')\n", "\n", "ax[5].plot(df_res['betti_argmax_1'], label='Feature')\n", "ax[5].plot(list(map(lambda x: x * 50, df_res['y'].tolist())), label='Reference')\n", "ax[5].title.set_text('Betti feature argmax dim 1')\n", "ax[5].legend(loc='lower right')\n", "\n", "ax[6].plot(df_res['betti_argmax_2'], label='Feature')\n", "ax[6].plot(list(map(lambda x: x * 50, df_res['y'].tolist())), label='Reference')\n", "ax[6].title.set_text('Betti feature argmax dim 2')\n", "ax[6].legend(loc='lower right')\n", "\n", "\n", "ax[7].plot(df_res['amplitude'], label='Feature')\n", "ax[7].plot(list(map(lambda x: x * 5, df_res['y'].tolist())), label='Reference')\n", "ax[7].title.set_text('Amplitude feature')\n", "ax[7].legend(loc='lower right')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dataset Import" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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indextimeyxcoord_1max_10max_20max_50mean_10mean_20...num_holesavg_lifetimebetti_0betti_1betti_2betti_argmax_1betti_argmax_2amplitudenoise_leveltest_set
124660015015.0015000.9946171.5240230.9957290.9957290.9957290.9766360.953035...1000.0121370.00.00.0000.0859960.01
124660115115.1015101.0054551.5290921.0054551.0054551.0054550.9820450.957831...1000.0121370.00.00.0000.0859960.01
124660215215.2015201.0107501.5284631.0107501.0107501.0107500.9869040.962936...1000.0121370.00.00.0000.0859960.01
124660315315.3015301.0087701.5235541.0107501.0107501.0107500.9910850.967422...1000.0121370.00.00.0000.0859960.01
124660415415.4015401.0198391.5295161.0198391.0198391.0198390.9964780.972188...1000.0121370.00.00.0000.0859960.01
\n", "

5 rows × 26 columns

\n", "
" ], "text/plain": [ " index time y x coord_1 max_10 max_20 max_50 \\\n", "1246600 150 15.00150 0 0.994617 1.524023 0.995729 0.995729 0.995729 \n", "1246601 151 15.10151 0 1.005455 1.529092 1.005455 1.005455 1.005455 \n", "1246602 152 15.20152 0 1.010750 1.528463 1.010750 1.010750 1.010750 \n", "1246603 153 15.30153 0 1.008770 1.523554 1.010750 1.010750 1.010750 \n", "1246604 154 15.40154 0 1.019839 1.529516 1.019839 1.019839 1.019839 \n", "\n", " mean_10 mean_20 ... num_holes avg_lifetime betti_0 betti_1 \\\n", "1246600 0.976636 0.953035 ... 100 0.012137 0.0 0.0 \n", "1246601 0.982045 0.957831 ... 100 0.012137 0.0 0.0 \n", "1246602 0.986904 0.962936 ... 100 0.012137 0.0 0.0 \n", "1246603 0.991085 0.967422 ... 100 0.012137 0.0 0.0 \n", "1246604 0.996478 0.972188 ... 100 0.012137 0.0 0.0 \n", "\n", " betti_2 betti_argmax_1 betti_argmax_2 amplitude noise_level \\\n", "1246600 0.0 0 0 0.085996 0.0 \n", "1246601 0.0 0 0 0.085996 0.0 \n", "1246602 0.0 0 0 0.085996 0.0 \n", "1246603 0.0 0 0 0.085996 0.0 \n", "1246604 0.0 0 0 0.085996 0.0 \n", "\n", " test_set \n", "1246600 1 \n", "1246601 1 \n", "1246602 1 \n", "1246603 1 \n", "1246604 1 \n", "\n", "[5 rows x 26 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Note: the first step might take a while the first time you run it \n", "# because the data has to be downloaded from OpenML\n", "dataset = get_dataset(42202)\n", "dataset = dataset.get_data()[0]\n", "\n", "train = dataset[dataset['test_set']==0]\n", "test = dataset[dataset['test_set']==1]\n", "\n", "test.head()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "noise_level = [round(0.1*x, 2) for x in range(9)]\n", "time_series = [[train[train['noise_level']==n].drop(['test_set', 'noise_level', 'index'], axis='columns'), \n", " test[test['noise_level']==n].drop(['test_set', 'noise_level', 'index'], axis='columns')] \n", " for n in noise_level]\n", " \n", "# Different feature choices\n", "col_to_keep_all = list(time_series[0][0].columns.difference(['time', 'y']))\n", "\n", "col_to_keep_tda = list(time_series[0][0].columns.difference(['time', 'y', 'fourier_w_1', 'fourier_w_2', \n", " 'max_10', 'max_20', 'max_50', 'mean_10', 'mean_20',\n", " 'mean_50', 'min_10', 'min_20', 'min_50']))\n", "\n", "col_to_keep_nor = list(time_series[0][0].columns.difference(['time', 'y', 'num_holes', 'avg_lifetime', 'betti_0', \n", " 'betti_1','betti_2', 'betti_argmax_1', 'betti_argmax_2', \n", " 'amplitude']))\n", "\n", "col_to_keep_no_features = list(time_series[0][0].columns.difference(['time', 'y', 'max_10', 'max_20', 'max_50', 'mean_10',\n", " 'mean_20', 'mean_50', 'min_10', 'min_20', 'min_50', \n", " 'fourier_w_1', 'fourier_w_2', 'num_holes', \n", " 'avg_lifetime', 'betti_0', 'betti_1', 'betti_2', \n", " 'betti_argmax_1', 'betti_argmax_2', 'amplitude']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fit the Model and Make Predictions\n", "We can now use these features to make predictions about when the systems changes from the chaotic regime to the non-chaotic regime and vice versa.\n", "\n", "A particular focus is on the comparison of TDA- and non-TDA features. Below you can find a plot which clearly shows that especially in the high noise region TDA-features can help improve the score as the blue curve is always on top and outperforms the model without TDA features." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def fit_and_predict(f):\n", " result_temp = []\n", " for features in [col_to_keep_all, col_to_keep_tda, col_to_keep_nor, col_to_keep_no_features]:\n", " x_train = f[0][features].values\n", " y_train = f[0][['y']].values.flatten()\n", " x_test = f[1][features].values\n", " y_test = f[1][['y']].values.flatten()\n", "\n", " rf = GradientBoostingClassifier()\n", " rf.fit(x_train, y_train)\n", " pred = rf.predict(x_test)\n", " pred_df = create_pred_df(pred, y_test)\n", " result_temp.append(balanced_accuracy_score(pred_df['ref'], pred_df['pred']))\n", " return result_temp" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Train and evaluate the datasets in parallel\n", "results = Parallel(n_jobs=-1)(delayed(fit_and_predict)(f) for f in time_series)\n", "results = np.array(results)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Feature Overview:**\n", " \n", "* TDA features: \n", " * Number of relevant holes: find the number of holes with a lifetime above a certain threshold for all time windows (only for H0, the others are very unstable to noise)\n", " * Average lifetime: average lifetime of a hole for all time windows (only for H0, the others are very unstable to noise)\n", " * Betti surface feature: mean and argmax of the nonzero entries in the Betti surface for each time window\n", " * Amplitude feature: value of the diagram amplitude for each time window (using the Wasserstein metric)\n", "\n", "* Non-TDA features:\n", " * Rolling mean\n", " * Rolling max\n", " * Rolling min\n", " * Fourier coefficients\n", " * Moving average distance \n", "* Intrinsic features: $x$ and $\\dot{x}$ from the dynamic system\n", "* All features: TDA-, non-TDA features and intrinsic features" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the results for different levels of noise and different features\n", "np.seterr(divide='ignore') #Note: the signal to noise ratio of the non-noisy signal is inf. No warning needed here.\n", "SNR = convert_to_SNR(time_series, np.array(noise_level)) \n", "np.seterr(divide='warn') #Reactivate the warning\n", "figure = plot_results(results, noise_level, x_tick_labels=SNR, return_figure=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to make predictions, it a rolling mean was applied to the predictions to make them more smooth. Then, using a threshold the rolling mean values were converted to 0 or 1." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Balanced accuracy: 96.08 %\n" ] }, { "data": { "image/png": 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bf/c1fxcA8KXnvoQvPfcl/NzdH8JXnv8K/urZMf7ZW/8Zfumrv4Tbr7od777h3cCpU8B/eBIAcPL9t2Pd/Dp85HUfwW9+4zexZm4NfvTmD+tuKxq6MHN9AcDHVqqE3QngNOecQsE8hYODCc5bMyyzvC/zbNLlvPy5COPMa7F638lH8BdP/wXuPXgvHj7ycPH3S0uXip85lz/BmGehHCM2AlsJc5sbzeHo+cwgMXzg27AwNt1nFpcXi79xcGXbyuCcY8SmxY94jsnP8bV+/mzMMKRS/J7tsalQlW3urpvh6tr5dYp+sPI7A8vGoUJK5/2F82ysiv2nOKfXEn4YijbhzJv2Yaz8rqt9j3P1Zytn6PsWk2HMx9K5TAYDy8ISCACZ7BT7Z2xyqCqjARSbFA8feRjnLp/D7GiyF5/SnF7MVxJ9ppBvkvYjzKnO875h8l4ZY9L5rKTPVOSFeF6xf+V9roq47s37XirUegIxxn4fwNsAbGOMHQLwvwCYAwDO+a8DuBfAewE8hWyr/hN93SzRPTOjbEGfG0E4dEKDlWK3feIKlvH/HvkKMMpcsv/2xb/F63a+DgCwNJ7kS1AN7twIlitza+fW4sr4inBcmsieO1daFpcEI5BEEBdCe0X4in8DJm1dMvwIn+d9EtzfSawp+gWa5jjdZJhsL80IVXbZIr5v8ZlFpUj8neiGYQyM8j7NwApjHjB51zI5q+sHcYyIYbExAhFl9DI7fHIdRnzGPRuylALfOvItAJl3ek5sRrAq4obJiI0w5uPSBiyEz0u6jkUfmcyPxBgq2TS8Mdr26rq5bmpTS6ET5wal6XvhpfPabGiHTq0RiHP+IzWfcwCf0X2H8AeOskDNBcTyuN4TCAorqg+Y3NX8zLxycOeGotzLZXY0i++c+k7RLqkj9oncCHTvQX14jTjhVxeooteG2KfE91MYgSKgOqKsPYE0yiHtkk1QtkWPhsQmimon1xWMAMB0H6m2RUlpqnhNkeKsRjBbD2JIlPVplSdQ1dtLec78e5EYRofEyggU4YZGW+SeQHEgk8Vzo0l+rpt23ISbd95c/D6ZQ2JpATmMMaWHR46td3lxbtKHCqqedpMP/GgjE52p6uFcneuAaS9w0VtaPE7nCSTek6/r3D7oIicQERCqcLCXz72MHWt3aHdmsuP8HBy6QZsP8BEbKb+XG4FyZW7Mx1iYXcCJC0drzx8zsgXu7vW78eZ9b8bi0iKeOvEUTi+etp6wxXAw1XGTNvdjwuqCLvqR0oAUTzM1or7/9TOGBwsHqxhz8v4g230Wf6dwMDtEJdJ166iuZ+IJpPM2jG2xPSR2nkBpLTDqmJbZcckh2Vy9anYV7rnuHpy8eBK37rq19P3JWI3j+auIRmetJ1CNgcjoWpG2oQ0+eymahu+rvHeK88j0GdFbWgwH03kCYTKHkicQkQyr51YDAP7o8T/C2vm1+s7PmbcLTZMhO2Ij5fNdWb5SfAfIDB2nF09PQp48fe6+kbXW3Mwc3nX9uwCgSEQqm7DrwsFkLpviz7kXVow7O7bKTdWTSjyWwsEy6gzYsbSOzpgDCEYghSeQ6neihgF2T5XhYBaeQDGH2/jAmI9pLDWk6pkeG6p5/i1Xv0X6/VTmctErQ5oTSPOZydmBWM1odqh1omGN0TbXVvUFrWdzxROomjdReh0hrD728Sfip4mQ6I2qUNi3YR8+/JosC/ri0mKNddb/wXHn3jtxYEu53G1+z/nOg4wHX36w+A6QGTpOXUqzIpgMGyVXlqStOhFxyD2BxJ+LXE6euK62oZrMt004mO9jcEiGytsCuFvMKD2BoPcEypH1oeKc4Q+1zhHNrr4sLRgYxnxslhNI6wnkx/OEjK0nUCy5ybog9rDUpvN8PC2gJtfHRf08pwtPIAIYKwqw+IKNzqTb8FCdyzgnEE/XE8jf3kE4gTFWlI+tX8z4owRXyd1MNy1swt4Ne7O/VRbcsnCwNXNrAACnLp3CrnW7sH7VegDA/k37S7HbqSrLdc9dTc5WPlZyPuGdSHMCiZ5APN58TK3cnJULv7Sp66mxLL5UnkBTSlHV86fGg4ioYyBPIJkRp6ZiSn6sGpIZXeFzyEUIxCyHZAYOHbF7ApW8w1dkmMxztY0nEBm4J6g39Yddy9lcuWq4USWGrh4DSHQkhSOD6ByRmicQhYMlhixR2NSAUSi7DMNnlK8jrzoAZMrZDJspTcRVYbF3w16cXTyLT93xqdLf79h9B+7YfQdePn0Sv4RfdnPzHqMMs5GUaTQNB6vLCTRJyh2+kjjZ32s2frThYBG0TxfoDRv9tZE3OYEqnkCmxwHi+PZbvg/BRK6NBpn/lNXBNIukunCwmBferjlx8QS2r9lu9N2YwlK7QO2RGEcr2ZY4T8UTqDYcrIUnEOlDE8ZQeAJ54vJrlBOo0k+Kv1fWHrJwMKCS70fjCVS6HnkCEbEiixGdGjAqBdETwVGHaAQC9J5A5y+fN9qlSUcklOlrgSv2s5InkCB8J55AYfQ7G/oIB0tp90JGfaLBftrHeThYjSdQXTiY4qzZObu7zWgoh4M5vrbihSg9gSRyQjcmUpcZXbBufh0uLl00+zL315t6CKY3JeOa65vODbGOS/GpakvEi5K3wdwaZwvaodsYG3I5ZzMuqusE2eZnXYl4I08g0VCUUO8hTyBiKpO6LieQr6JVHOxTRiDBE6ha8n2ZL0+SP0tI3bW0i3AwMSeQ+B1pTiDhesW7CsT4qGMqJ1CDHa6cqXCwyPIo9EEIXoym1HkCqfoWhYO1gw2VGFoiI5TJMmUegwpPIqI7Ni1sGvoWgkS76RgB1p5AkXtkysLBZPNV8Zll+60cXbpWyoyhClUdOjG05fc1nq1Sz2awqePyY1VePiVDUUKeQGQESgxZOFjxWe5Wp6ywoy6x7hO50Ms9SXSeQHOjOcyvmnd7gwFiEw6WowsHK5WIV3gCPfDSAx3dvb8YewJpwsGIjKEWFM7DwcS8LxaeQEbVNAKQ767hwhv2ZXFm5AmkUWRJdnSHfuOsCkMsucn6IDY5ZOuVGdvz6ygSQ6+Mn2p1MMC9l21s6NZ7PmATDlY9RrepVXJsqGyUST2BeLqeQBQORhgrjlmJeD8Hh7gQy12zq14/spxAYz7G/IzaCJR61Zy+3rYomFV9rnATXlrX0124Y7K/NzGC2R2vDgcrJlJPx6Yr6r0Y46A6bpTVwRSeQKrfiTqGMTDa5ATS5WiTnz9tmdEF1IbN8X2R2hZbj9/4PYEyxJxAYz6Wzk0l+WbRR6hQxgR10vphNzRsZGZ1w6P4u8bzueoJVEr6LMsJJGwgkicQETXSnECaBFtl/LeQMsawfn596W9iOFj1/usqe9BCKUOXLBxoGQ4megKt/Pyp2z+Fq9Zfhc9/+/Ng/FQnz+ATfYSDERqPtR4XGoPlBMp3uSrXrS0Rz6fHKoUUqpnIsYESQ0v6bp0nEKDPO0bvuzvsQispMbTI1A5+ZAv4Nrn/YiZP25CXiJfp4LKFv+m5iSwp9CtXTmOHpA2HCG2WYZQTqLrppdnwqCKbH8kTqAx5AiWGbOelupAfosJOW2RJ5GSJoauVc1QTkOwKKVK3wDURxGI4WHFeMRxMzAkkKX8eg0CeyglkqxwahIOF30rtqO8n/bSQ83Cw6i6XxD1adj8UDtaMok0GSOqrlKl1nkBQy4n8rwCiyZM1JPqNszJs4B14H6nmggHikUM2fQOI34BR1dOXxks4cu6IdK6Sybem10qRJWRrnYXZBennwyaGzjAdG6IHvCr0WRoOVlmX6DyBiu8k5glERqBE0PXpusVD8T0PF+T5c1XdTLO/8dK/qnAwnSAq7UwlJBg4b+/3JbW4C+9EWh1M6iGTv+Tw2j9vRxV2iwd9ONiY8yDbqC2iDKj1Yuywferebd9U+0I1HKyKSWLo1OScjmozMIdveyJ/5e+proSy6S4656D3bUl13FOSdTvy7sZ0O/iBdsm2fWMyjnlUsriqTzIwrJtfh8vLl3HwxEGsmy+H/LcpEQ9RZ0+QapfZunqr5Fsrhg7H/Uuc10ypGm5kHvC6Ta1SOJjOE0gMGUuo91A4WGJIw8HAtJ+L3wwh70jVqKVLDF0XDkZk2ISDTQw9k+/oPFlkVveSoA+gz5lSNUw2OkeL3bHYGSYx9EDhYJJ4d6BZifiY83K0RZRYvjST0hNIIo911cHikazDYeXtweOpUtgFHNX+GVe/bOoJlEIf+Z6rvwev2/E6AMCauTWlz7rwBEod13pJE0zDwWTpJnK0iaErKU601cEED6OUPIHICJQQ2bjQ5QcohxdMfc9DT6ACxoGVspMqTyDZ4K4zAo1Gcbkn21L33CbhYIB8p7quOlh+HGOZGA8VJqwd+wgHy/towE3UCXX9rw/35yH0K1VYly5Rou44YJjnCA3XyjRjau82ZU4gw8TQI0Yyow1iV7Dx9sjeKTV6jkwOxaRpNfUEijZzFJvoPYwxbF69Wf61Fp5AmWzzeK3iEkkqhpUPhm0dCxFYjRiQhoMpPIGq5yitYaueRIl6ApELRGLodibqXcj9V14YmDTXDECeQG2wUWQm4TnThg6x/aXJACWLmpgEsswwaULVW2/6xP6Pzb7RybZ+E0P3fw2Rpp5ApiVViTLFWOXT84cLZLI3n8tEL1dg2hCoOt7n3eHQsPP2YIjLzNEeeWLoONqIwzTnZEYqnkB146WdJxDJNkAvZXzx/DXOCcSn+8JUGhOFPlMNJZPmBOLlzbSUPIFo9ZsY0+630y7kunAwzuziOV0h3pEqMfTMaGa6glXNTk3RNn7ITOfULXCbhoOVcgLVJIaOAV3omw06xcjHcekSzuuUxX7ax3k4WI0nkLJEvOZ3Cg9SUwoHc9xCqjGdK6rVvlc19DU9P2GObXUwYkK1/8Uy3+foPOtliDmBYsT0qabywDToF6nq7Dm1esmAhkYbnUkVgSJbe0x9Vg0HU5yrummS0rxIRiBCGT859T2PpaooVLThYJaeQBMhlY5QEOkqHGzqvIpwsOK8pfCGeNq+6JMdhINVvhFRK/UBG1Tp6ZK6BM91fSs3HhG2uJ//VPNxrqhWDX4yj0FVOED2HaIttnlfqNUnqMIdPVY1rRjzsV04WOT6puniv/AEarDBErshrRP4sIYOmyubhj6Xw0rljg1aTyAxZCwhTyDKCZQYMoXFxhMo+57f+1naxNArPz/w0gN44KUHcP7KeQoHM8AqHKz4V22YAyAvES+bHiJZvAMVT6hGO4T2oWSpYL8Y6+q6bsNrphL5V5QipSeQ1ngUVxhGl5TGmydDrupZOOUJpPEYFI8nusF4/PN+cpOFiugRnBHXAr7pnJS6HDatWEyocR2m3gSTe1POdaIepKp2Wuk/ury2saagqINWv4SFwPV3oSAKvKqHSf6vmBPo0WOP4tj5Y7hu83V4zfbXKM+bephE3XPrXDLF78hCl2SGIbmgD7/1J6rtxDDZxHCgXNwNvLPjA9MLCpF42ke5y4WyEWjqOHGsDmQwC5oBVu+qEMf8b8t8Ofu98i5NQyliGRNDYhvyQ6RDmxLxMZKLUKOcQJJwVxNS19mryNtuWM9x23mnFK5Vnesk+kxV1yn+rvIEAnkCEYkgWyhN7SwrBC5bERw+D4+S14nEEyhfII35GDvW7sBHb/7oMDcaGMoQQUk4WDUnkIj4TqQ5gaQunz73ODuaxrmbhIMRmn7aY/u4Nqgo491rEkNrz1kkJO3yTuNA8F0cxGgiDQeD/F2rlN+p4xktlLpCb3wuE8umRldUDWix9Utrj99EEvSbjBfdxmLN2RscEx/6PuRHGxnlBKqEg1WP1SaGrhbPUGwGlhJDkycQETOqGOzsM67f1eIeT1CsbO0FhMTQgicQkA34Z04+g6XxUv1pE5mUVTTZiZnKxVQXDiZp29KiJoJwMFWeKtvjxWOnd0TSxigRbg87PM7DwaolUyUGAPH3qeNk1cEi34FuQ16pZ4gFvNJ1XRH6J0sMrQsHi70KkQvsPIH8WHz5QlV2xuRR9fCZgzh89jB5ApUwey5VHhi7K8XahmbUhoMNmhh65RYM3muRH0oRDiYLf1cWz9B4ApWul5AnEBmBCIvkvv7u0ohCRWZwAFAYfZ44/gQA4FsLAlcAACAASURBVKVzL9Wed6Isd3SjgdFFOBgwvRDh4PKcQNUs/5GVMpZ5QlkdL5kMsw/iMJa1oS4cLP9O6JQ8gbi5JxCFg7VlgHAw6I04Jp5A9J77xcYTKP8+MUGaGDrwNlrGGP/lpb/C4bOHsW3NNuPjYt90NF38qxb+JsTmTdYLPJxwsKlNr+qGh2YTufq71hNITB6dUO8hI1Bi6MLBqjkmpgljglIlht6zYQ8AYHFpcZgbCxTdBCwPB0PxrypXhbh4LeUEqgp6hdAOjbwVRO+0bsPBCGCYBa/zcDBWXuib7IyJx8l+pzwKasQ9Ql82A0w8garfLR1P77szrD2BPOlDPjAV4hFJvxyv6NJvv/bt+PFbftz4uPg9gczowhModZp48bvG9N5k85lqI0T8TPSIzb+jy12a/5uSnk1GIEJbaq/0PY8naFHgqRJDz7CZ4jumxF6ys44mBhix3VWhKoCiOph05yeetq8mqWt6jukxSiXiQ/VibEpVwRH/Dqj7l+o4Qg8bIjG0Yj7O/3Zm8Uz2u6Jiipq057UuiWGTYihsvahCY8RGDfXNODE1TLTyBApks9oV8vWc+9BmEZsrV/tC8XdNNdSpjbKaTeXSWoU8gYiYkXlnGHsC+ZwTaAUxHKzwulgRHjOjmeI7hDm69jINB6siCl2pO6e4sx1BmJMqWbn18aox6ouLwoCoKikB/S7gnecEUoR16ZQi3XHisT7L9qGYtMkIQyjOsr41PzMPAHjw5Qcxw2YKg3pV+QXk8jv2xaZLrEJ7qYpjiWl9NA45ZJPzRCQVA0ZtOJgiBMj07ETNTOWJvmiUE6jGK0yaGLriCVQy8Cg2zlL1BKLqYAmiCwsAdANzZZHh4QQl3lH+PH/+9J/jnde9c8oTyCoeNUIPAhvqFrjScLDc0AF9mEK+cBFLWsvdw+Np/ZKXlIWyYhIOFrviWIdJm/bVRoOEg0kqXwCaEvFGiaGJKk0XdN1cW95fb9l1Czas2oBlvoyNqzYWsrQ4riYx9OT8RFtsZDmNs2lkVX1Cp2koTuye56ZPpQv16fpasVLXBwfVF5n9+LBJDF0cI1lPqDyBiu8k5glERqDE0HldFOFgioG5PHMBgK9GoImAyJ/n8NnD+NJzX8JNO24CIDc61JH6Dnnb51aFg3HO5UagqqBncRiBCtWuZWJogMLBmtGfMde1bDD2BCLFuWPceyXKPHcBYHY0iwNbD0z9va5CnOp7RHPsZTm1eY6q/6XaQrGPS+NwsBqvVu2xkbdhNwyb365JOJj4O6DXd1QpTrSeQGLy6IQ8gSgcLBGyPs2VSmX+qS7J4ezyuuoJB4fz6eWvKAxEt/g8HMzGCDQ5T1qIr9c2HCw/VDcJi4K5lBOosnhhKwuv0Ns/f54/eOQPiip1TRWbNgakKBFdhR22S95tnYeDifJN4gmkMgBQOJgd+dxStAlfUQ4dzH1NL2Fa6TN1D9c2VN+NnVfnirbiif40BOKjT8khUYYF2EbinAA0CAeL1BPI9lVWdcNGGxq8wYUjQFzrAZo+OEDTVF+HaTgYML1u0xn7VPoyA8MrF16RX0e4l8XldIoHkRGIMC8Rz/1VHEWBJ7rGiwaGPBxsebxsfN7U3bfr3rW8OphZOBhWPpcZ5cqeQOGSP+5WrC7+dv7yeevFdm04GI/DY6opdQpPTLuDU56bhp5AunAwop7BKs81TIpq8o7DHw3DQ2OpHTG2HW8Q7gJUjWCd39bgmBrHuvEEIgB5H1SFRbmiWUoOWZRATWLoio50ceki1s0LzgwQNsVWjrm0dKk4NgXICJQQ2TJRrrCIGdiVyVUDmKsZY1g1s6r4XfRQyT2Bjp4/anE+AAMo/77AGMCYpZgQOwrL/ym3Yd7PqvG3MiNRNImhV9rlyvhKp+Fg+Wl44v00+1fRBj2NY8ZymepuKlUZe+pi5HW/Z1GXI1/yRXoJY6MBpoKmngR6D5XRKB6j6BAUzbwyf9nkBOIRzGddkMnOMqN88Ra4HMqmm+YPwRiPdz5f0fu0X6nOZVYV1prfWlTUyZkBG6pWX5NQ1Wt0fUQlj7eu3oplLncCyI/ZtLAJQDpzIxmBEkRVLaSuRHyukPo4OMR72r52Oz51+6ewb8O+kodK7gl0cemi8XlTD5Oo24mWhoMVYWHTfamaGLnqCSQPZYmr7Y+dP2YZQmCywz9sjPfQ1I3PvncHXXuJiOPGpFpG6XMxxKlyVmKaUjjYANduJCdMvL04o1feAXYGfWpwken0BJG0j2Lzq/awyPVN2+dqkrrB53WKS/ReV8N6jtuES9Z5wRf6jswTqKIvz4xmpiJBqmeN0TNRBxmBEkMlGE08gXymKlSuWn8VFmYXSsaJJs+Vumtp63CwiuvmlKdPJVFbrImhxXF3/OJxALa7W/qJMPnSw7VKd3+K4RCtLnrQqdyjZccAdQaChPtQDSGEg4nHEW6wNdTRGJug7t9ht1HTHHWTfhT286twGg4W3jLGGWzgTcNewsEknkBVx4bZ0WyRk7N6L1O5FSkcjIgRzhUxooLltH4hFQbVXZU8TCyVwd0VXS9+REPPiI1w3+H7lNeMJRwMABZmF4qf2/RB+0VHOgxhwG66UG+DzBPINBxMlhg6+4AqzMmYKMv+h/KociEovk3GopbYbzDRGKsiTwwdB+QJ1AzVwp8wJ4S2M7k3lUGwqu/Ijqm2wexoFheXLuKXv/rLOLKSFqRqmExtDJIRiACwYhmuUWh8Tq4qE3j5M+XPlSeMzmNCP/yaD9eetxAIniv/fWEeZiOEgwnHVgW2eD4GhvcdeB/u3Htn8Xv1etWcQaFSdXtvEw4GyMZo2ouLocPBXMMYm84JpFB8xGN0vxN1DGFgbLgLbuLVS0a/ziCjfDNi7X9NnyvvR+fZS93djEeYGiZaeQJFWmGtKdK2G9hzvMmV5VECqhQSk2PEDdfbr7odt+66FeevnMeJxZOl71b7ZCrOArND3wDhFt3is1AcI1JoxPwXuREon1h2rN0x2H2FhDYnUE1lOVk4mPi9W3bdAgC4cOUCnj357LSgj6QvcvCi/zWpzlQN5SHK2MSY93HtIa6rKplapzir+1AcBteuqSqZ2RzpJ7aeQEQ7bHfbY/Js7YLqPBjLLnxTL4zcW/jQ6K9xA67v/L58oTYcrDqX0YaFNSGMIKOcQAqPH5PE0FWv561rtuKuvXfhwZcfLL5bnd99dnboA/IEShBVOFjQJeJXHqmaHExc7FSNQMYTS8LBxU0WuGJOIOnnEo+zIidVVSBHkhMIMNu5MEEVyhNLOzWhXunud2IfIhzsqRNPFT+L96AsEW8QDkZMM8lt5n+ooW0YRSqKbl9Yy3IaYyWm5VBc7WM7x69ftR637bpt5bf4xqZp92/jCRRa2oq+0M8Bw+qLNkbSOr25tkS8YsO1GrkgOzYFyAiUGKpuHXpiaEiEivhMgMQIZDyxpLtD3iwcbPJvNd5fmZi8YrAr9cEIdk5FY1qtsVWCUThYiMPWFT0asIeQDTduvxEjNsKOtTuwd8NeAPWeQFXlRqoY9XbH8eDyfVuHg4kl4uuUWAoHa02TohOp6hI2hN5Cbe5/8+rN2TminM8Nw8EU3h8mpObJ0YxhZb9N31Z5/Oj0mSl9WWYgQnm9MpUYOpH+Q+FgicHBMZIolaGXiJdR9W5q7AmUOG3CwaTflQnmisFO/Hv4KmFGdYHWJBwsP5aoIPEEdMUQ4WAfvPGDU38zMfIAOvntf+LjISjmRI89YXNUVVFU3ybaYR+GSm0uMvGyy4hlAdYmKW8sIfBtyHX1+w/fjxEbka7egCFD5E2xubdqKXjdpldJX4ZsTSGct/L31DyByAhEADD1BPJXCZYJPJUn0PJ4eeq7+pOnu2PaKIGb8K8s2ZrUcq8wEMWUI6DICaQKxzE5j2pxl3iJ+DqlO5bFhQnKEvEoKzc+K4dEhm04mHiciaE5hfHQJ20W+4QitDki2j1bfGPT1DBx4/YbcXHpIpbHy9i2ZpvVNWIrAtELnA3sYW9+7WpoYN3fgcpmSE04WPV8KemKABmBkkO2MAfKi+1YJuWqAYE8gZqh6w9dhYMBcgNRLAK5Gg5mC5VMNWMYTyA/QmhNw8GU8i/O+IPW5HNmCLJoyhtMNx7ofbfGvi+Qt10VuSdQ2LS5/6I9Iu4ndfPlmrk1eMvVb3F0N3ESgq5olBNIofvqdGJx7Te1DlGFg1U2nlOBcgIliEwxTKlEfL4Iyn+vJ13FrW6BaxMOJp4TkHttib+L54+Fprm36sPB0vVWA0yU7n4XFz4YzmtLxFeVpql7Hv4ZfCVrqwEMjJbVOqvJv+u+neq81hW2XnU+yAmfmArViGS+7yIcLMaR6Wbt4O86xSV6r6uBcwIVd2FgBFIkCTdJHn7u8rnSd8XvKRNDt9isDREyAiWG1hMjX5wGqKiohIq44GlccSDhHdNG4WCCcK1a51XJn1XV6ULsizJyY1pbjztdOFicaqMhbDgDti+tXucJlKNLtpm64iyj2iYuW0jluavCpCoK0R2F3mHVzjTGclT51EKXQ23yscQ8Zl3kqYnZiNYZA6cPaHJtlZOCzLN5hs0U/9YZc6Y8jCJJQWEKGYESQ+XZEXqJeBmlZNeCO/8yXy4+J+qxDQdTHatK/lw6j0LQx7Rj3WSBRuFgZiQdDlZXIr4ucXTCuc90TAwx/iuHVU+gunAwf58kDPKxlucZrIfaXGRadq703+HF6fBEpPMQ7glBV7QJB5vKCVRdMwhz3dzMXPFzfTgYpo4Xzxs7ZAQiAGQD4LFXHsOYjw0SQ/s3OJThYILRobEnENJNumtc8UswIE4SQ8uPVYWj6OJ3wzE9ysl3POvyIqmgcDA9Q4eD+UA+bo6eP1r6vfq5vfwjhqKpx+D5y+cB1CnZ6c5rXVHNK0HYE6UcqvFM1R7qsZ7dFheGidQ8OZrBBjUy2ly5rmiMbNOrujmtCwerXifm8SeDEkMnQt7fVe63l5Yu4cr4CgBg46qNDu+sHTpjbbXs/dQiyHYiSsQyDGSPyhpO2KIxSBcOJiJ+JhfYCLb9xXas9klbao8NtI3awLmZcimPAG933fzKPixk1s6vxQybwaEzhzA7msWauTXS7+mUmzF4kn1IxqQZhPmDuzEkivLXBtGlnY9rjufZ89D7tkM2Fy3MLhgePOziyweKphPyNeaEno8jH7edhIMNP6V0RlN5RtgjrvUAdR8cQqeu9gOjnECKdZvKQ0j8jsxLaCrKQGFcClUG2UJGoASRLZSWxksAgPfc8B68Yc8bVEeuLLj8QybwRIVCzMdiXyLez2d2Qd0Cty4cTPpdhbFHdo78O89tPghgr+3tD85kQi5PNJ2Hg/G0k7zWK9397u744HK9YdUG/KO3/CMsjZcwO5rF/Mx86XOTcDBCzmCJoRuEGs6N5jDDZnAZl2vnuHQlRjc0qQ5GTJjaKKL2iWLjS4WLnEApeP2aoNsYG3qcNfEIqxp0VB5C1Z/rIhKqn6bmCUThYAnBmFow5h1+1ewq7fHeInG/ZYzh0tIlXFq61NgTKPtK2gtsHfJwsMm/qpAvYNo6L/NyuX7z9QADjq19qdfn6JN83NVXZ9KdQx0OlvdRQs2oJ+HF4JeyMD8zjzVza6YMQIA+HMxr2T4wHMi854vfHb3vwiHA7uWM2EjqBl86dT6vedR3QyJvVttFrU4HSw4my9eRfRB6G7UOe2LZWaKjRZicKSMWfv/pn3DWNNWwr+LvBus5bTiY8B3x+NQ8gcgIlBh1YSh5VnUZIVpIF5cX8Y2XvoHZ0WyLnEDp0mQnmgv/GoeDKTxkdq7biVVnvgvLTF3RKCSMErBr0IWDhTMqe8BQueyjjXwJB6ujroQ8GQXkTMab+x3mJtcqhdbq+iVnZP3rCPM5Mq0Fhi2x5HPpIhwslEW6r4Teh9rixuuqGTb3VucFL9/UKm9O68PBytcJcZ3bBgoHI0qMmMYu6HF1MJlQyRWt12x/Dd68783Fs1nnBEo4TKLuXduEgxXnVFUAU3jIMD6LceBGILFCXd0uvYzaiWngkp9DU6tU8LQmdh26EvGEXzQxwtspsTQe2kDGnHb4UlnRJ3xctHcFhYP5QdMCJV1hc23V5n3+9yPnjpR+F7+j88ir3kPVEygVyBMoMareGVVmRmpPoNDIB/nu9buxd8PeQjAUJeIjnmy7RJsTyCIcrDrxqMLBpuAzwRuBcsSdzqb9z9aARPRLKAsZXUnV7ANyo5cxmTPDMSSaGZrpfbfFNrSXkTG6xLQXZRwL+BDKcxNxE0IfbJITKGd2NItNC5tw5PwRzI5mSwWNtOkTKnrQVGLoxLw1yRMoQZqGg/msBNskQcstylqvp8oZfHxmF7Rd4MrCwWRtqfOQYXwWF+fON74HHyjlBFIl5tWgc29d+UYXtxks9QpPv4uLEAzKupKqK99wfEfhIOaUc0mTUEPjCoSJew92iW04GDEhxsTQXYSDxVhFzkmJ+Hyuj7D9bND2waGjG/IubhEOVtVbRmyEn33Tz2LMx2CMSddzunAwZWLoSEJSTSEjUGKoOvb3v+r7cejMIezdEF4FJmAi02ThYKKbHwNrFA6WhjiwRxYONrGwy5FWB9N4yIxnLmI0DttDTRYOZoNJOFjS1CgVfS4uQpMNOuUmFcXHhmqbuG6hJuFgIewCx0Dj3G4d30eo1FXuCZ0m46+auDYmXISDxWJI7JdwNgC0VcAYkzouVNclunGomivJE4iIEpVnxx2778Adu++oOTrMyUkWdlT9OyGnbidaFg6WHSexwNdMPCoPmZnLm6N5V8a79BpUk1ook3qf1CeG7r6NogoH8/8xnDNkOFiTa5lXN6H33Rb7RW1au8x1yHQEIPw9jTbvN4S5JARSH2E+bwTY3FsTD/rqHCiVMcW9lP+eWmJoyglEGOPz4NAJFdFNsNnCO5xyil3T5bvWWvQbesiEQtWYZp0Y2iAcLHTFuQ31/TRMA3aX1IeDEb7BeTNjMYWDuYXGUjM4j7PtOvF4iVDndGOYyM8dX/t1Bxs0MrXJm7EpaFHStStXqxqI7sfh0t+pRDwRNU1yDISKbMIpBjpYlMpHH+jaSVUdjEOehJxzbh0OFpLrah2lUA2LceizAdYH3FQdUV87BEkyVTFDMs5IcZ6mkEkeV8cUMa9AGEKv9ZvmYb1Eji5fR+i0CQejXkK0YUidyBSjnECazeM6ZPOgePwyxvgbHAIAbFm9pfR5LDKoDjICJUhj40cASrBMQIh/y72CrNogYRcLV+FgYvK3qXfDWfC7YkVOIF0VNNNzyRZ3ie/qmyeG7qeNQjIoK3fUEpZzdQyaGNo2J5BFyHO6EqMbrBcmNMZKyKuBht9GXYSDRdAMU8hyd3bNxGiQNlqdaGB9sUk4mI0Hc73nfHYP45X7uOe6e7B7/e6pY1OAcgIlRqwLRW11MOFv91x3D14+9zJ2rN1hcfa0F9hdUZfgDWge/uA7uTFNjG+m6mDu6DcxdBiyYSpOXppXiqhSbRPX79u6OpipwTNxw3GX2BrqqN0zQsmnZksbY0eM+s+E/sPB4m6/rghP9tvkctXNgXVGntQ8gcgIlBjtwsHCGhwyofHGPW8c6naCpE5JaxIOVhwrOa/cSyGu6mwyL6k6UpuYrDFUuvtovVBCbKd21CIOu+ySiQx0PwabV5+icDAX2L8f8lIQkcvOeORQO2NHHG0wFLH0oab4HA5mc2/VXIYmiONOFw4mu48YjdI6KByMsMBfBUYnVMTE0E1gCZeIr023qwgHKz6XhIPJLPCikaMqhH2cxGyphoMBzScbCgebZuhwsJCgNgiHJp4SXVQgJMygSqOEnC7CweKT024ME/6uU7yBs0H3AGx0kKlchhbzYV04WHENiZEolXAwMgIlRqzutzJ8LpEYEk1aL/d2UX2WnXfa+j7m41qBHTJNq6CZxDgTwxCKTK0NB0vY2K1j4q0QxuKilHxe1y8TNxx3ifn4J2O0iFR2RiCH2hg7aG4nuiCE9Y9Nfh+1B7PkGI3hqHbjOrLk9HWQESgRMr2/XacuDSxPrKSc587DmpxArSfV9JTl/PW2DgerGHpU4WDaXDmcBb8rVuQE0lZBU1P/XQZzZ9nI4LxW6c6qO3W7gPdEBBpjEg5GTMjnFiCTVUV7OXjxE/nbICeQcWLLhGVGC8RmbdITePUkiVFtP2X/DrCNRL0JaLYA93nR3pQu2sWUyTznzzrFJZM1UYZ8fA2zphHntewu7Lx6ADvDkViNuPhMXLNo7oM8gYgoCSV/hS26wdx6wolgZ6ov6qzqpe8auFmqcgLVHRcC1YmpSb9U5vqIsZSIBbmRsC4crJdrIwyZOpWYXZoYOuwx1gfVNnGeGLqJnCCPQSfYVgej3G7TkBxSEPjGlwwX4WAk8+phCGdNU928sjkGMNtwlW5IB9NC7SAjUEIwtAtdmAyOMOgiXp8xgCc6qWT9BWC2OZVY7pvFwUblthPDxEzDwULeGON8pQ+tPEMpVMPGE6gaylNqu/yH9vcbKpMmUHkC5d5p3UqvTD5w+zEyIDJlijEAfJS6LVEOW/Hiczz/5X3W/rhJyKlqrs/ed3oerl0xkbls5R9bIxCR66OlvxX9MnCE+d7+0Owo8tJrRj4Ug+9DbandGBsQlinGVl49DfRm2TxoHA4W+KazKeForoQH+GshNS0R34x0lWWT55bluTEJB6ueI7+eyssl5HeQ70aISVttqO5syL4Rcvu0pnaI0+Kr6olHO6b+08Sbp5R8XntsUzMTkZO0zO2AULwobekkHCy+ZnESDubzOsUfhjW02mw2TYWxW4aDiecQf1aFg5EnEBE1bV3EQ/SKiVHJcImJK2WTcDCZdV6VGDoWtLmPDDAr/ZweQyZB5ANd15apBItT90xGARmZYRrIFWfflUNjJZbcvlpjb1BNa4FRh9wzPe0NjZj1H8IdLkLv2tIkJ5DNeWUFaup0NfIEIggl/u6mywReZ4oEZ8nqy00XuEU4WOVYZTgYdILX335nitiORdt0FA6WfRCBC30HaBNDgxZfgKYNUhVyBojhYC5pGr5taiym0dANIRiBfcXnRWpTulmAxzc6neQEynWl+LqVFbXFcgbNOWWf5NmmOljpSop5sLQWkeQESgUyAiVGlqMkvk7evydAfBNyV+jKnpuGg+WM+VjhoRD+Al4MBwPs+qpJOFjKmAQt9nftMBLwmoSDhT3C+qHaJq7bqGk4WH2/TNvjogvs2y/8DY0ukebkiGDTrYtwsNArospwWR2M0BBQPjhduXflMZW8P6oNZ2k4GJWIJ2KmzYIl1N30GI1erjDNrF8NB8tzAknPqQkHC2VBbYvo/aQymJmeR7ezkSr11cFWvtfHtQ2u6wMm4WAp9yEVE5nkfv5rkxgaqOmXoa+0PcDesyFMHaov5JuS8cihpomhiS6Iow81xedwMJt7q/WCVx1nOg9KjhOvFztkBCIs8HcXS6y+lHN28WxnJ/fxmV3Q9Lll4WCsotzJrPNSTyDub78zJTcUNDV2mYSDeTjXO4fCwdRM7ahRh/Gaprvm+fdfufCKwTWILgjBCOwj8W76EDLcGCbC1xf7Z9gx10QPsykRD6hz+1TTMoh/q36eAmQESoxQdq27YJkvAwBmR7MD30nY1CZSM/Ru0SWQ1iVji01J5Nw+uXMvua6ITghtIaNUphI2duuYzJnhLC4451g/vx7nLp/TfItFGXLiEtvdYhbBhkbvROCh1k11MOolRHOGLJZhilFoV4NwsBxVWDQDU4aDicemABmBCHO8LtWtFhBr59a2PHc87sm2tA0H0wlX2bvSVQcL+R0UJeJFF9UGhgN1OFi6fRQwURBo8TXlTabIvUVMM0Ri6KZyojDKg2Pr6q2aC5DRry3kVdeOponPQ6FNOFiM87nLnEAxtp8Neq+rYTcAmoSD2SaGFjenq/2NMbW+nFr/ISNQYoS2a22KNMFXV88Zwc6Ua0zCwUTyd3X28tloE0MDem+ouuOAmnCwhKlXKvprn1C8K8WQS/F3EfIMmaY6Vl3LoSbhYE28DYnmmLdzPHNZF8g3isLf0GgzHacwZnutDhbh+qZzAtIXpwpaGI6PUhGWmo1lWTjYleUrzW44MMgIlBhtFiwTC2lYdKFQBCQzO8Wkv9iEg2XnnBbMG1ZtAACcunSq+DkmipxAwoTWdByq+nNo47IP6hNDd99KoRnWqUS8HYUMDCSUR9zJrKsO5v/T+E3j6mCJhBroUC7qIvBQ68TjJUJx7HKKCb0PtaWuDw5paG0yPqxzAmkM7nk4WPW74nVsrxcqlCyFsMDfXSye7yn1souSrrJs8q514WCjiiaT71Dnx+Uc2HoAn33LZ7E8XsbqudWVmwhj8aVDXJAVXlIWWl7pWM7BRvHtnraixoMlVAN2l9RXByN8oqh41zBsFKh5xxEstofG5wo8xPBQOFgZN3lq4m2/7hg6MbQ5us3j+uvow8Fk9zE3mgMAzIxmLO4yXMgIlBih7VoTw9Omv1TD83QT88LsgvIsQByTem4wu7x82S4xdMMymakw5GIstHAwdR9K3JCoYMgS8U0ohYPVegIRXWAcokDG6AL1oi5tOTRJDD3sfRBhE4KB2ignUDWM3TIcTJUYGtCHg6XirUnhYIQF/iowMoF3ZZzFdLZ260t4x7RpOJhYfnH6nOkZMsRwsMXlRZxZPIOl8VLDc0naNeE+KlKfGDrdVpraUZOEYRByxFBOdzTbNRcTQ9dfId3x0AWpLBT6oNDZAjCg29KqOlgCelGvOYGYv+sUl+j74LCGDpvx0XQDtFSERXIdce7rJZdsIJARKDFircYgG+wjlnXv9oIuvvbqEm11sIqFvRSHa51MM3wYY7hw5QIA4Kp1V9kdC3W1g9T7aN1its+JPTTvSp1RPIYx1jXVNnHdRtbVwQSlmcLB+sV6Q8PrCqvDICtyEEvrtJsXYmmFaVxUByPUsAA3fE5dOmX1w45gZQAAIABJREFU/byPXVq6JP1MLBEvOy4VGU1GoETI197yagymJ/FvcOjsO/Mz891dB1x/scjgPHfK7m6Ba5pAevpm2IpVKdD2r7ikXl6+DADYukZTvllC1Yg2dRmWVh8VyXWaur7a5c7XZIyEsZttEg42TkzO6ZjMme7DwbJrN7+Oyg2+DEtuXuuCfNyL2G5opEwxrpTG6HCNQOKc0JRiERpRpUZRn3R2zWB7UTvEtR6g1okyldpt8uOiHxjqa0BWNGZ+Zh6nF09j88LmYnPf7HpZK5y/fL70d2042MBeUq6hnEAJ0XadMvLZzZIBqLjs5wm+2izQGEO2M5Wg7saY2bvWhYNJy1Bb7p7mry/UST1vxzyk5MziGQCT/mlLtV2LPtrBvYYLz8a/Yqz3lYsjANtPgS4xdEjPMQhsgDYatQwH03gC0ftuR9M5aXIckU9hMjkU6lyf0zocLNbxyfrfMMnOn7o+tIJS/g+9ljO/8oZVG/DZt3wWnHOM2Mgq/1qu68g2XFV3kJonEBmBEiOUXesu+MFX/yDuO3wf9m3YN/StBE1tTqCG4WAWd5CdM0DLfPWWxfbYt9GuX5os7gj3hBYORiXi7Zh4zw6tOJshylltv0x0c6NL7BP1p7XAMEEWDhY6bZLyTsI5Ma1AEIQhbiqxtcP03kZsZG0YzSuAAdPjsFodTJYTKMT1RhPICERY4K8CIxN461etx9uvfXsHZ2fwX/Xvh67DwQBBcbasqBIyeTvmz/LWa96KNXNrrM6hN6Kl20cBE6XbX9nliqkqG5JwMEIOA3O+OG26kBQTQ+tlbNpVmLrE54WWr1DfqyGicLAcFxsm1VCf1JG298CpPdoYSU0RPYGmSsSjvHFdlzg6ZignUGKEtmttS8zP5is24WBi1Rq7dxWXe2+bfiodwxHsnrahbter38TQYSwCp6psJKz42FBtE9dt1KRvFR6Dtf3e/37rM/Y9IQxvMheoZXb4xskuqoOF3gYqXBmBUqeuVEYKqDe81FCJeCJq2i1Y/FVger2nhPOtmPQXMRysmrStk3AwDxOS21LkBFppj6bKoS4cLNzW6Y7axNA9XDMUw/pUMsQpQyL1IRliPq/8dzfXbXYlWXiu/ALhL7aHxjq/XeLGehGlN0AEbdRFOFgAU4o1LqVNBN2oFSaGyOE8gfoPVSuFRVc9gUzCwRKZG8kIRJjj8WK8X6GSrrJsnfhSWCipjrQNB4uF3AU1/9n6+LrQjgjdx02pV/j8lV2u0ZWIJzyCNZMV5rnD0t3c6BrbuYzkELJKhApSbp0QNhSaUh+i2p7UEvs2Y9gNfRfXLYWDVXMCCSHTwPRmNUCeQESkhLJrTfhDXX+RLTpk4WCsYkyzT6YZLlWFpKkiZFb6OUWGMyzGEw6WrrFbxxAl4tsgegLVJYYm2mHfF8Kfy7piCcsAgMvLlyufhC+HutmUDLsNiGFxkXenLb3mBBITQ0s8geruKXQZZAoZgQhjXLvD29CrwEu4ikrbcDDV9+wIXyhPVUpr4gmk2+FPOGRRpD4xdNrodseSFXIG5GWHXVLMaS0MxnXHhixTfaCNZyeRsW5+3dC30Dm5KG1VHSxCz95JpcW+L0TjMUc6BwyeGNrNpp0uJxDn8nUjeQIRUePCHXNIYn62EKiGg0lz1yQaDibSKCdQTWhHytRN1/0mhg7HM0u3OwaQ7iyj2rdcK4dNw8Hqj6WX3RXm8jz8DY2uUBo5I9rQaJMYOlbcqH1xt6EJehkTf/uIG16yz0pRCZIN2lRkNBmBEqOdJd7fwdHvrglDqj4EJgvcpuFg5jfhb78zJW+LZpXRhPNowjxCbp+2mO4s9dFGoYSD5ahzAqUr53Tk4829J2z7xNDafkmJoVtj79MajpxwxXSbxNBGzcdVSHOJLS7lTeqyzSQ6YihvFxehanWJobP7mH5+8gQiCCX+hlT0KVRYRDtTtpg8t004WHZOW0NIfEpR59XBUnfhqHW/91d2uaRtcnLCHUVIiaWsEOUE0S9NjfqpL1ABfRuE3j6d6KMUDtbqQvG1XofwYfUhF6GO2tB35BuqmPo8Nb2IjEAJ4SoOk4gLm/5SFw7GOW8cDhbypN5JTiAat14SWjjYpaVLxc8lEjZ265iM3bA8Euv7Zbq57rrGWDYPvPjyCXU4WDx7Gm3CwaiPEG0IYb3nLCdQ1RNIFw6WWHU5IyMQY+z7GGNPMMaeYox9VvL51YyxLzLGvskYe4gx9t7ub5UYGr9jJfsUeOm6zZs8t85DpYtwML/7nRlFOFjLfEjqcLB0+yhQr/DE0Ie6YGF2AacXTxc/E2YMY+Rr5mVSeGbWJYamcLDWUPsRMtr0i2LMRukJ5GrDhGRbjqy9U9CHSvkPK22gK1JTtE0inrSzdV9gjM0A+FUA7wRwCMB9jLEvcM4fFb72TwH8Ief81xhjrwFwL4D9Pdwv0YK2+UhCIOZnG4ranECCQJ1hMwAmOYFkpNAP62hTHQzwe3dnCIYshxpSTqCfuuOncGbxDBZmF7Bl9ZbKp6Q4yyjaJBAvjsIob+AJRLTDPrQy/sWXKWo9IPzcZEPOR74TylwZOiGMoF5zAonhYIo+p60OFkQLtqfWCATgjQCe4pw/AwCMsc8D+AAA0QjEAWxY+XkjgMNd3iTRLY2FsMdKcK/3RCXijb+vCwcTE7UBFuf1uN+ZImsLW7QJ6ziLsqSsLep27a8PhRQOtm5+nbokM4WDScnzWLjePW1q8DX2BELYMtUnbKuDERNizm/XLhwsvtHp6olSzuOZo58/Bs4JlM+qPRsEVUZ6XVQCeQJNswfAC8LvhwC8qfKdfwHgzxlj/xOAtQDu6eTuiM7I+nPbTi1MTp4MEM7z/euew8E8eV5X5I/bNhxM9T072IpRKZ530H11MObLkHQP5/UGsB4qzCXb3omQzy3Vv7lQnXmmIwNoEA5mmuSSwsEaIY77Ju3HeToLDBkmugUXvxgQNnqTikk4WAc35AlFuzB34WBj7s86xSWyeWv6S8MYGifjo38YU3sCVcPBKCeQHtmIrbbOjwD4bc75XgDvBfC7jE2XCWKMfZIxdj9j7P5jx47Z3y3RinyhFMquNeEHNuFg4i5WXSnzlPrhVIn4FtXBmh6fAhQO1gbyJpMxKbWe7xAOez8mFPJX2y9j6LPDYhv2E7OXhy3qtgvfONkmHCwlvYjojxBCEl2Fg6muq2ujVAz1JkagQwD2Cb/vxXS4108A+EMA4Jx/DcACgG3VE3HOf4Nzfgfn/I7t27c3u2OiMW2H28RC6h99CTzGAJ6oayljK+1qscDNS8QX4WCjiYiphoMZ30fginPejm2rg+VU25AxJB2yCEy6qGrRO2IMvH5/rM0d9HZmF2R9NOxn6AvGVsLBnDdP+3Aw9Xda3VjyFO1XI3emD+zldqIhmn7JOMCah7uEnxVJjosNE9KHMnQ60eDeLi5KxGsSQwPqZw99vWGLiRHoPgAHGGPXMsbmAfw9AF+ofOd5AO8AAMbYjciMQOTq4x0deBGkMS4IgVpPIItwMECI07XMoxCiYV51z01zAqnDwdJmyAm73uMiEFLXmhUIWcxWfvdbEBknhqZwsNbYzkksgvx2XaH0ak100y1n8AV6z5Du4oYQ+s9gJeLZZI6sfq7NvRkhtUYgzvkSgJ8B8P8BeAxZFbBHGGP/ijH2Aytf+wUAP8kY+xaA3wfwcZ5KCwZEW28Zny2kvecESjRMwmSBaxMOVhK8CSkDeXLZnO6rg6WtONfLtv5kV/XdhgsZBWTkMrDqQu7iukCDnECCElsXDkZvux327ygGOdEtsqStodNFOFicsthZauhI288cbR8c2BjtIlSNYRJ5oJIxsvuIe/xNY5IYGpzze5GVfRf/9s+Fnx8F8N3d3hrhHTxP0OsfvS7EEt4ht07hLLG4iz83sw3HI5TtvaDU5yj/MW2lp84I7HoBT0SKS48v21AjAfIYdIvtO0pZVpsQevu0yv0Xg1epAmf58xLW2c0YVqd2cV3GGJbHy8XPU/egWIuQJxARMZRUlrDHJhysmhNIRtNwsJCpelQ12iGkcDAviSUcjMrqyplsMIRhjDZOIM/T9XDtCvu+QMboHAoHqyH8KYUYkBCKiPR5b6V5sOoJpAkHqx4bO2QEIizwVwnOFmJ9nT0dgVDFqES8YThYVbDaGjJCfwOltui8OhhLW2nMvSYGCAcj4mcIPbpNOFiRC0F7LC2226IKNyDSppvqYPGNTncbWOnq7FXk7T2st4urqypzAqEclSA1EpEnEBEbsZeIj/W5hsbGYKFNDC0Yi6yuz8NfwFfvvMvqYMSwu16UEyhuijYJJKlvKRdCzXg4P1p0cUvRYyp3Uss3oUNt5AzfQ63QtVuEg8Ua0RTHXOk/IYygXnMCMXWJ+BxVG6XUR8kIlBDF7kTjhZK/SnCv95Swe7LJAlcXDiYtzdhBXpzQyEOG2uYKUIaDJZ8TKKPeE6iPa8cRDkZldeXkcmyoBXyTvlWn/AIA5s9h9XiuwR0ROdY9gQZYgVIfTbyNYl6AOpOc3M91iku0uubgiaH7XwNoE0PXhYOxdPRpMgIRxvi8i8VZn26m4e9MNaV1OFglD06zcDB/jY9N6ac6WEwtZMexhdMAgJnRjPRzn2UXQcho6rlbMjbrjr20sfG9ERlNQ/ZIDukJvXW6qX4UeitM427DJG19qI6h9SEXdt5SWLRtOBgoHIyIkrjDwYh+6DIcDGiTTDNcoVz1iuq8OljirFrxaFiYXXB+7ZjCwWJceLRlYtwOwxjNoFZ+iX6wLXJAIlyXTykGOdRBdbBENx6JbujGENkvfd+bKjfeZC0ihzyBCEKKv0pwr6UnE3ZPNnnXYjiYWIpbtjjmnCcZDgZgyiuqyfH6cLC0WZhZpfnUX9lF+M8wsqqZnKTE0O5IZaFANKNNYugYe1amE7q4EMm2HPn84Uc4WJ/UVcmsrQ6WiKWejEAJ0SZZXQj4bPEOmdqcQIJxIs8JJH4mnqeR8I8iMXR2720MYNS/9QzVOlHlBBr6HjxEdBrPfve/lYzkTMKbG11hXx0snD7UN7qcQKG3Tpv7j2Iu0UB6jBtCkDG95gTSbIbUGXnIE4iImsZC2OvFeJ/3lI5AqGK7wBVDvqptVg0Hs1WcQ2YqHKzhMxUeV9IS8Wn2UaC+9GyfMfAxhYOlKud05H3L9Q59U3f+UjhYzbH0vrvBtjoYoa8OFjqdJL6NcD53JW8abzhGhHb+8GQt12t1MMHQI0v8DOjbiDyBCKKCz26qvS7EItiZ6pOS22WP4WAxvYM+qoMROqh9iDBpEw5W800SGy1puoiKaS7rg6EXp13RJhwsxl7Sa9qG0oVIsOnxwwjUN7rNkNpwsMjbJoeMQAnhoiwfERcmxjVx0VENByt9r6FgHbqSQRfIKqXZUr+rny6mymUfbUThYHEz6Vtu5VDTipR1uRCI7rD31gp/LusKZR/l4c9lXYSDkR2jHaH3obb4PAc4KRGv2QypW4vkG64pQEagROimP/unwOTPlXlH9MVKifhEhAKQPSqThHSpv18W6rIS8cV3rcPBhJsKEHFp3Xby04WDcZ5WH80xemTOVhYX3bVRPkaiI8E+JENshkJWOWoasW+18XDVHsvTlRltkI17HxdavmLS3ULtkVW9ifpFhtgubkIi0/HkqCKdt6ZgyES/2zaa9IP+0W2GTLzqJ99VHRs7ZARKCMbaKZVez2cMYBovlMan9fmZHVGnyJiGg1Wt67Z5FEIWyXlb5CXMu6wORn0085rQ9ae+2oixOHICZe2TjuJjAwcHmPucQE27VMnjUNHx8/dNNCNvVttFVDZXRmk6bsC0Ppq16ygKOdRYzwZbGZrht0EVxvo3jOVzcupwQCnifZD8/feDmtx4TG0k4uA4fuF4r/fnC7ND3wDhjty9tPngC38x3oiE/XL7CAez333wzwPNltwr6l3XvwsPHXkIezfstT5H7a5+ut0UgL59+lzAUzhY3OQy0HVYalNvApsE9CHLVB9IschBV6jDwcJvo27CweIbm86eiPShGq+rYXVqdx5hGbYl4C9cuYD1q9b3fVteQEYgwhifc7NkC7G+zk475HU4CQeLgN3rd2P3+t2Nj9dWByM0UPsQYWJdHczAEwgAGf06xL7IAbV8zLTRR2PWi1yGgxE64t/Q122G5CXgVeFgW1ZvoZxARHykvPgmmmHi5SALBxM/K35ummyNhzthTXJWtR932upgxVXSxFS5pBLxOsjYLWMiA12Hg7W/Uhz90l9sx0sMoc1doU6qHb4c6mxOSGQh2geh96G2+KyXuLg33WaIzCiUKmQEIuzwdPewV6GSsGupybuWhYPlOYFK38sVYOsS8eXjUqU2HMzdrXiJNicQLb6IFgyhTBeL5BbhYHXfTHVe6wraWGtPygswGUV7RBoO5mKsMBJsADT+UHxYndqFga4uLDrfUFUdm4oRkYxASRF3xQJSxPrByMPCMBws/7vpeWOhq7wx6nCwtBlyuo4qJ1AEj9E1Qir7ld/9Vg7twsH8fpZQsN7QoHZXt0EEGxqcNQ978jntQhdEMVcGgO/9Z8huUBcOlhJkBEqQtiVnfRQu/d4TQ6o+BG3DwUrfaxoOFoFS1H84mJ/j0hX1Sne/fSgOJSKGZ+iePL+H+3fczFhukxiaaIf1dEZW1gJdOFjocDQ3duTHXVp3usM78gN3ya7T1ocAfR8c2tDIHcynbcLBmq9VwoOMQAnRjf7h5y5Nm0m3/uR+PrMvlEoxFp5AasNH03AwQgMtLmror33ikg1xPU0fuG4h23ltYXZB+rPkzA3viMhp6tWa+gK1jpTbJ+9Lp7e/iCW+PPDddEumE7q4EMk2PfGHx7cNB0sFqg6WFHGHgxHdY+rBkht2JjmBpsPBql5k9opzmDQt9Vyl5HElq7qW+LA2SwzdPVGFgw19Dx4ykYFud0+z3VJ77tp3F67bfB1GbIQda3d0fl/ENKbjn3KTTdCViA+/fVqEgzGGvfwunMLDWMaYFmkNCb8PtcN1GXYbBi8RbxAOloohmuQLYQf3c3D0K1TSdS01eW7bcDDriirc7eLLV0oeVwoXes65p9N+/+jWYUO7PxNhM0xiaL5ierK79oiNcNX6qwwuwByGZ8QJyZP2+LpQbUPb8O9VfENxnphwWSKexqaGBHTq6gZ06bOa/kHhYESUxJ6QN9bnGpranEC9h4OFTnfjLpWJyZYhlRmfS7HaQYqzjKJNolOch60QEwPFXGY8/mPrQ81RtwHJoZj7STp637D4rpf0nhNIDAdT9LmuvPRDhoxACdKmwzOPcwL1d/J0q+bYhoNVPS504WDmxOFC32s4WHQLVDvqEw3204eiUiJSFXI15PnmBksMHUPfIlagd5lThGJMzWXOb6Vzci++pvi8eA+CKEIK26HvgwMnhnYQQq/1BGIMnKuT0/taAKkPyAhEWOLn4MgruPQDQxSaSU+IAnOSE0jyPVYxECWye9rVfZuEgxFySKk2I8wR5hbniaH76ruJG467QGnIMDyOkBO6Pbp9oZI4Nr6q+JynJi3i7F8ia+fWAsjmz9Vzq0ufpWTkqYNyAiVEHv9PQpgwxahEvDQcTN7XOOfphYOx/J/+w8HSndjMlMvu2ycmmUo5YmRMFi7uE0MTfmO9qCXDW4F6MyiOBRqFfw9LDH2oDb1WTG6Jiypx7znwHty5906sml2FdfPrSp9NrVMSLhFPRiDCCuapm2V9OEi7k/v4zC4wfe7pcLBpGlvfSXEGYBoOlib1Ck/a7UO0Yxhlum9jOcnVLvB1oRUKMbZf2zEVayEDZ3lqEtbZjRhYp3Zx3REbYeuarep74OrqYHFs6plB4WCJkK3Ry94aHZxwcDhHkaWoz4Hrx9O6Q3y9de0qDwfTlDJvEA4Wcvt3ViJeGw6WMIayqHMfIA6A9b1Qdwi5npTI55ZJv8nkkIsdQifT68pCKWTZOgTiu7GudEnJuIv2U7ZALocCbCPx2drN0XFtWpT0SUdzJa9eOBEm85Z/oXc264o+MdmQjs0Aq4KMQIQlfrrq9nlPLNGcQKbGC1k42Fhi6Km6WKaWR6Ff9/C0Fxd1Ck+sO6vd4pfC6At533KttKp2KQl/4Ny/hVYoRF+ttmUBFiC++crd86Sps4voDZHDGhmHDlWjcLAJZARKkKaTLluRq74Ojb6ECucjb5+5T9gkDUYtpXAwJnjuSKqD2QrX0BUi1lGeFVU4WDYu41SkTakb+qyvcNGVMRL6QoYxrHiFhDnG+iTvW/m/LpcxYKyXeS07ZdqG406wfD/VxUfKZPpFdfEF+LrRaEXLOZ+xsL2fVbhY/JM+lKFrZrai3A8l+8X5ZyhKG9KB629tICNQQkRVzphwgNlOncw40WU4WOgCmncUMiTuTqjaJHjluSGm7vedt05k4WBp9h49k4WL68TQPV+HFkqtse8LcYX5tKHwdJPktwu9fdobO6iftCX1tuu3YnI79OXr+6fYkK75PAXICERY4evg6Dv+1cdn7h3DRYgYDlYtEa8LB7MlwTcwRd7O06S9w8xZfRW7bHGRZvsQ7RjGEO0mXIbGRHMoHKw50YeDdRH+HdnYdJWnxtd1ii+wwRNDD0u+FiHHCDICpUUHJeKHHryEe0wEZNVDZSzpKdWkmOaCN1wDR5eJ8LTVwYiBiGkhQ4qzjKJNoqvAF65c9Qk7WUxtXk/4coiqgxFD0z45eb/4pMNOVQejnEAEocJPV91eBR5nSXrOmyYmtQkH44ITps8TlI9ow8GiW6DaU9+b/JRd3pCikDMgn1sGSwztkbJMlCF50pyYNzSoOpgcZwmBIwgpbIve62roxNDDelCahIOlAhmBEqILpZJ5GlLRb4wpVRrQIfanajhY9XvNrOth74p1qezWhYOlTK2xsofu01W+J18gO1A9ruVQn5sbAM1sbbBdzDBq83oiWMC3zccSqyeQu8U/TWR64uxfpmSJ1/XhYKm0DRmBkoI8MAgLGixwq8qLrK9Zh4PlinOoMrmDMMz8+DqDUiourFVMJ+y+JvY4ZCpVi5KRLejcJ4buxWpZvkDP508DCgdrhsrTmIH1nxTde2hstiX1MeZzOBgfuKJq7YYhhYMRhAo/d2l6dTONYGeqGYaJoSvJn4FJTqBSKXPRiOHp5OQzZuFg6fbU+vGf6jgm2jKEvHIVDpaqzOgCarvmRB0O1nKRO9lMiwtni/9kdXZDBk8MPfzbyRJDZ6S8HiEjUELkrv4xTrpEf9QJyPmZ+amfVeFg2WdNy+oOP3E0w0U4GDEMES1kEjckqpi0RmQLs8LDMponco59dTAaY7VEsIDvKuyJ+gnRFJ9LxAMY9N7qwsFSqi43O/QNEGHh6+DoN9bYz2fuHcNwsLv33439m/ZjZjSDXet2AagPB2sSYpY6+nCwtBcXnBmMf0/zmfkDjTMZeTiYezlEXpMhEIUBeABoF15HnAbaSWht39Bcrw8HG35DY8hxf+rSKZxePDPY9X2CjEAJ0Ukojqe7NBzAqMcEmpQwVc2auTW4cfuNAIALVy4AkIcytE126GO/M6ErZVcbp0wdtD7Ouwf5wDvK9+QTqSvPdThPDN3bomn4hUDo2PaFYg6kRtcQRyGOVgVYIh2bmWHC0YUINYl7/T536jkAmrxklBOIiJOIQheI3mljvBhLJpciXxAf250zkgmry3AwVfuF3UL90337RCRTKTxIymRH1e3CrHd5R4bj1lgnX41kLusCZYEITzcabWjvmU79pC2pt9zQZdh1+HJvunCwVCAjEGGNjxNTv26miS6OGlToMK0OFsWi2ZSOKp1QOJga0/GfavsQ7RhCXhU5/HpWSGlMtCOpuaxDYi8S0UVi6PhwVyKeKsypGdrTbOg3c83Ga2q/k8q8SEaghKAYbKIJTZRcaWLoxoaKsF2ju1R2kzNE+o6jhbobwh5nfSDKqrbhrP4R2/O4x14e0xirJ/x8Ll3dfditQAyJzyXigWHvbd/GfZhhMxQOBjICJUNX/TnzRvCH/Lmy0pN9XST3BEqnMhPnAIM+9EhGtQKYzIDUqKIKD7f9uxoxeUWD7JxyF3o+DrON2sC5Ya6BPMygI2GYjRGfpGFLeDbOKGFJBueYJMfPe5ejEKqS/O3T04TetzXiuG8U1pB4cxc6m05HcHlDHZL3jTPsUtsMgNn5gm2JMnm7cDjynIsgpLAp4vhSN/WKvuhYp570A7+iAXy6F9eQESglDKs9afG0wo6LGFMfn9s38ncwlhgrSjmBEhS6bZ+ZgU1yAinCwVLFtDpY59eNKSfQCiTn9Lhund7mNcoB1Ql2Yz+uxX0XTG9ohGsEylnL53Fm6Xzj4+PzOsxwlwsmnvm4FxLPTcZQLhGv+jwFyAiUEowDLUrd+rzOYUBvN+izS2WvjJovcLsMBxs6frktefP1FQ4mvp5Q26gTNP00/6jziX00bewMkax90lYM5UxkIGNwugnS51XK75uwpak8GbF0PRSqSHUEBvBIliWb5tY3PnbiUR0ZDqbJiWyLrvWsyLyj5WNp6LWcsypxNVCKFDICEdb4qcT0Gv9KO6bG9BYOFjBdLRrrwsG6vFaI1PcpP2UXQUjpwnOX6JWmegfJIQAaHSH1Fop1UeosT03C4WBm5GuaYa4+tJ4q6tL571OfJ7LeIyNQQhRWT1IqCQuscgJVdpdl4WBN44GHnjga09FiTtaWxNBEtFAnY/c0lbEb1f4yGY47gcLBOiaCBXx7Ywf1E6IdvuXdqeKDoZPGFxmBCEt8jZV0UiK+p7N7SwvjxVjSWkW+IMtkdLHGx3dL2m1kMv4ZT7d9zBheKfOPYRJDT67sh7JMyCGDaXPytqP+rSa23uXSMJH6XK8PuRpWX+Rs2I0zhszTR1kdzNN1bh+QESgpOph0PU3a12t1sPwaXj65X/QSDuZw4dU1XDA8tFV2xbZUhYOlitn47yMxdH7meNqfpJwe1/M9uto8AAAgAElEQVRA/5sb9MabYp3otvC+InJkRQ5C75NtjR15Fd5QK6LqcBUORmhIXA7VbhhSOBgRI5xyDDQj2QmlufFCnvSxzaIjfBfxtpiEg6UycTWl89aJSaZSeNAUueifvF93cqj395Btx9LbbonN2I/JWNwWZb+LQN9qvymZ9iK9C1JvO3eV2OwZ+t6mqhjHoL81hIxAhB1JlohPc3GUGw1tqIZulQwXQjhYinkU+p1oUlcazUrEh96HiIRgzY3whBuayhOSQ3oP2dRbJ9YQ+MxDysWVaK7XE2f/MiXXxcfg0tmVwsGIqCGlkrDBaqeT1VvY7auDhQ3vaDGnDQcjBtrNiWmhnrZiKKf8fuNSDikReFuaVrqMpw91TwxjrP2mZAzzCTEkziqxNcQHT6DQ5UwXkBGIsMRP93GOHheBiVfNGT4cLHUvlwxtOFjioTxmT+2n7PKGCMIwOqdqwHXYgaiap//0qndEDvVvNSxSAy2ViHeHLi/V0EYQdx5hcsqeQNM3QjmBiCjRJes1xd9dmv69S3x8at/QhYPlcG6ZNDF4A4eLuOO0FWmTndcG0Y31140pJ9AKqSg/TXHdOr3Na8HL1RChDY0qsiIHobdPV8bB0NuhirtcMPHMx72QemJoiEagtCEjUFLEFLrgkkTbq8UCV7bLV8oJlGqbtsAkHIwWdHr6ap84+nPaiqGcqgx0uQnS93XICNQW20VtHHKiG9T9LoY26iYcjMZmc1JvO32J+GHxJVRNLYF8dXboHjICEXb4WiIetGPaPQ0SQ1dyAsk+s23HoV1X29JZiXijcLA0yaqx1LVv+DvMRDpMVyYjfKNpKfBQ57Iu0XmmNylKERMsUoO8q/BJFoE3Wb8MHw42JOJahMLBiGQgpZJogq3xQrSidxIO5sGOQSto3DlhkPaNKRwsWWO3hkpOoKgWF4kbjoeCkTFaTwS5ydpvSpIsJtoxdBn2OnxIDE3hYGQEIqzx002u30RjaU7IbfKdSBNDt2zHRAzzSvThYHEmkjTH5Ln9lF3+kLo6NM10WKvLNuo7fJved1tSq3TZJcXYirT92ubejBGXOYFS9ybTe10NuwEwdDiYLmIBoHAwIlK6CEvxdRfLhVBJd4FtB4Pc1bsQvLY5gQL3UHASDpY4QykVXb1bnwh1nLkitvaJ7Xlc0igcjKezwNChDQcLvH3a33/YOo+KoRf/RJnY+pcpYrhl6v2RjECJwHn+v44WkJ4YRDh3kOmDs+R85sXX2yQcbKxZHNuHgyXX/FJmR7PSnwEUfTTJSd1UFnUcysM54gwH80S2Dw3nAGNjAEI4GNy0D+f6RXI3F1mRGfS+rWjbXKyLkwRM7aPn4WABtlF+y10l5Q2vBeQ4f5WcldY8KZGvibReVwOFXE7GR7Ncal1RLhEv/zyVeXG2/isEIeDpLla/bqZx7srU0sKdtttwsNBzV3SzmLtr313YtmYb5mbmcM3GayqfJtpHVzAKB03VSEYESZHDL/GdSp9pupNMUkgfDpZ6+4ReDEOFu8W/n+sUfxh2w2fotF9iTqDUISNQSozahS7EsNndjDQfPHvfzHrSZmxlAmYKV2/LPApNq4p5BWOtF3Pr5tfhtqtuk5268kOC1FQHy/tyD5dFduWw254xgK84Bgc8ynpgIscYg9NNkD57lDge6H3bk4ta22pHebsHPZd1hKzZSv2SB5y0lXEw1jzQIutTfqZe8J2U1aASTD2HDN1GDMN6T9dWB0tIRlM4GGGJnxNTv6Un01SWm+Y7EfNGyfLYjPk4jvAZU1wkKKRKPwb4Kbu8YejtOR9hVRnosI36DjWk900MSO/hjgPTNvcmEPjGl4R+9fTyheJquWao+iAbeE0zdOWyuudPKRyMjEBJ0X7SFZP++sTQQoUoI3OzbKrYDD1htWW6whDRNZwNM/5jXMj4KN99IrbWoffdnCZ6B+s4N1moKMPBAi8EAXQhI+KZT6qQnu6GkMdP39TlBEoJMgIlROwlOXsj1YSpDXeiRUNhF+Fg1XMSMhLtozb0kRNoylMkZMJffHVPLsey35jDvFL9z9f0vtsydILTOAm/PY1y1GmI1hPIWdn2dMJ5VGi9rgY2tA5dlUvMCUThYARhg6e7WP0KlTgn5D6RJoaOIbePJZlNxoGhIILd07bULcbEMEWC8J/4vMyIjJTldE6dFyW1UXzFrdyFgzGKdtUysBHImTFQToprERVkBEqILkIXyHkuPay9dtjEil7KCZRb35vkBPK0Kp0NtJjrj+HCQSNaqKfq8aihWqGLYxS4FBKg992aZl6tZIzWEkG/bL8pSYtUoh2+p8gYUmUqewJJPqecQAShwNPFOGft3G9rTp794+Fz90rjcDBW5ATqLhzM38msDjf9JtE+aoOnsssfwh1j/VE2ZrtsId57qCG977ZQOFhzmhaeCIG2C/DQ8yCqcGeYoLke0En4oRNDDxwOVsoJFJ/8sYGMQCnRgVLp63AZWqgQZfoIBwt2Sq94ExDdM9T4r3qKxECw48wRsS0u4nqaACBjNABdwQTa0Ii5DWKaK30mvp7THbXVwRIyIpIRKCG6qlKUxtAQiXNXpo7mJeL1x3LebPc0FaHcCCoRb0AfYRgRhoNRL5pQ9YZ0mBOv96qC9L5b08z4HIGs6JMIkrm0zX1DhpKWRNCH2qL1uhpc9vvhgcMpHIyMQIQtflpIe3UzjSBGvRENk7eJOQ9ERaiUE8iDCcAVbsqIDz2pD0sWDlqTGNphZSeCaE+84TKx0HxDg6gLpaM2iq8N3IVP+rlO8Yfhw8GGhMLBJpARKClIqSTsaTJpjyVivk04GCXTJOoYRKpRifjIqeYEimlxQe97CMgYPUEuN8PfdGu/KUljk2iHs0psDfGlRLzq81TGHhmBCDs8LREP9Cnw0p6Qm1U/6TYcjAWdR8FhifiAFef+8Vd2eQG50E8jCQdzBW+YmN/iAtk//Zw9CXyvwOMzMfe7tjnq8mOPj893dEd+kLVL/zCP1ykuUfVBNvCaZuiE+pMNaQrOJSNQQnQRluKzwuPzvaWGNDF0osa03hdzxGCLsd7ztgwAGRL1UOsQOc0WM7RABdT5OIbPVzI8c1gDAFhgswPfSfeQnu6GlMdPHeUS8dP9kXICEXHSUSUbH4VLr/eUqFLS1GjImPzYIg63YU6g1NrfDtrVr++nfXiTxRgORuQURj7h/bqWQ32XiE9F2fWFOGRFf8TQPlmOujZniFMWu5OdIXuOd4PWG21gz/GhPXDEnECpQ0agROhurPu1i5U/V78lotNTljlv/qYZWCFcuwwH86rjWcBcGAry9kmoj+Zwbtg1xnlITzdt1GaM+AoHkuxDMqTN4Khpsmv370HIhf8TZojjvokHIk88J1Chs3F123GE2UZi3+giHCwW8nZxlqcm4dBms+mbDTLGfNGZxKgEeVaydIyIZARKCDdViohoaJH0to9wsFSEchtSbSPOzBZjnbdOTKF+iXo8apl6vz6osB1BecRaw3kDT1nQGMuRyuwI+mVXd079pDmpt5wy3NIDhs6lVucJROFgRJS0XaewTHvxcmIyKRHdlMJ4kYhQqGKv5DKtwVG3Ayi/fnbWYFu/Z0NB3j6An2PTGZr2LfL6dtw+Mdh+gHIfIkTysTty3ka9zmklmUHY0vS1ZKHSNM4AuSxm4Tr8lmi7yBUT10aF4WZNq0usjLGkdaEVGJMv8Yde0wxduYyBAYz1HEESBmQESghdxSZTfB4wUezGR8CKrXDlZ0VOoATflc9jJwaGaN0uZKpvkPKsh9qHyGmy2GecUcQldHlBaEMjZlLU/YaARo8a0ROIwsGI5GgrhNMYGtOkIhRyeItwMJmbZZtwsKBd6JmD+6Zyzwb9tAdvsjzZfgyKbQRhGJ1TkYHMNP9UJ/S8a07hf60ZutRxlESSz6WLKryxjU1nT0Ml4ldkk+rTYfXFwcPBIh1fTSAjEGGJnxbSXoUKKctWdB0Olh3kZ78zofCK6nWxEIfi3BSTvsEiWVwQ6UA9Nk5Cncu6pM6AFnoLtdZHPU290AZ3i3+SnHrSXtOUPYGm+wrlBCKipI1nB5EizXPZSBNDs7QnHhekMnFVMY0xpxLxOsibbBpZYmg3LdT/VUget+Xy+EqDsU9eCjnytgvfI5HG1PCk/g58znfD2bD3ll9bFQ6WEmQEIuzw1M2yX4GX6OKoodGw5Akk5gTKBW+DnEAMYeZRKJV6ptCOgfFTdnkDeUpNk4f7FeFgjhNDu5AZIQpWD/g6DuH45dOYGc0MfStBEvNc1YU+ysAwHsfVRs4ME5zRdAZ1W7OB1zRDVy6rS7xOOYGIKIm9RHycTxUejE1yAnUWDhaBUI513PlA7wtm1XUjlKmhj7O+odYhAOAELgIAvnf/91odxwIObe4SZWJo2tDI8HTDtSkxzpU+k/z40VD2BJKHg6UCGYESpO1iyUfh0us9Jb5jSuFg7XDzvGm2rUitXOsjx0LFUyRsqA9VmV64uF3A99uvEvVw7YhlcKydXY3ta7cPfSuREb4sHdrTIXVS8uRQUed1NbQxetAS8TXVwYB01ntkBCKsYJ7uTpjmBGkGLY5sUIWD5XDeoKKKp/3OCBe5uMj3uZY4DDVESvTaY0lmtGIZY8w0VKGDncs6pC5JcMj6Vlf6aMhtMEWhBzmAZJsBZChTPX9KRkQyAiUEuWMSNjRNJM6E3CtiXxPLMtqfkzAhjWlrGtNSzd23T0QyNXGPRykSGeiqddwloKb33YRlcMww+3xAKS0wdCg9FUgOARjeU4MIG1OdaAh8KRF/BePkNwfJCERY4ufERCXi+6D5844lx7adkEJtf5cl4kNtIyeQUk00ZBBduvc8VyQz2jAGx8jTRRYxLEMvcv3EZSVNmusB/eYpw5CJoYdldjRb/HwRV6Y+pxLxRJx0Epbi78RGk24/2FfyErzOVNUJrJXngMPBiN4ZquRoU285P6EcMdOUW4N254mcE7jYyBMo6NDmDlHnzSE5lBFnP/HVOyU2fO87Q+pMu9btwqu3vAoAcBFLg92HDxgZgRhj38cYe4Ix9hRj7LOK7/wQY+xRxtgjjLHPdXubRBd0JRR8FC793lOiO6Ytkt5KE0NHsVBugsMS8YnsXkzDDbw1+lCqI2rvZD0eNUwZ+dwtzLK8In1egBbbbRiB4dzShaFvg/CQTkqh91HIYEiYw2fhJNfqvNGG3NAYOlSNMYbXbrtR/XlCnmSzdV9gjM0A+FUA7wRwCMB9jLEvcM4fFb5zAMA/BvDdnPOTjLEdfd0w0Z42g8/XndBehUqxwO7n9LEhTjylnECS/EDG5/S035lQeIs4CAcjNPTYfWh3k+gDF+FgRDMYgF2rtjY6LtS5rEuUyZMjMEYPvcj1E7fhYMBKERIHVwuVkMdYW7QGsoTGrokn0BsBPMU5f4ZzfhnA5wF8oPKdnwTwq5zzkwDAOT/a7W0S3RBT6ALRN00TiZeMQJ2Fg6U9YZmSahuZ7rxSiXgd4S+++qJ4v06N0Y4SQ9PuRiOaV4AKd0OjS9SeCql7tWYwMNp4JBrTiTdaT2T3Nix1sjsV+WNiBNoD4AXh90MrfxN5FYBXMca+yhj7G8bY93V1g0Q3ZP25m07NJyccHM4nKlV/Ai8LAUhJceMcnbvv+joh9Y+bcDAOV8tGz+Bm7StWrevwskSkiHNmSWF08OI5d5DnKgKPiyEQX3/jUOmEm9x8+ITXSPmzdTJ2A/Z+riLqk068LHJ9iI/7v5Zn5GsiQN/WjLs3Mhbjw4N+rfUESshQXxsOBrnBrto6swAOAHgbgL0AvsIYu4lzfqp0IsY+CeCTAHD11Vdb3yzRjm6qFPm7kPf3zsLGOnSLiT93Ew4Wa5JEohuGjG0HInEfTj6vlISqIZxyTRArNK0AFXJoc5eoEkOzSORQBDNCL6S7GegW32UM9QM/MPEEOgRgn/D7XgCHJd/5E875Fc75swCeQGYUKsE5/w3O+R2c8zu2b9/e9J6JprT07MjXOT4KF95r0rlsmPj43H3CGu7csEKssE7CwRibKIZBkocM9WQoyE6b+K4+q9n1YgDno87bh7lMdtkjWdPlco6YkC1UGVgmh1zuELL+8oqQzGgHY83Cwf5/9t49+LKrqvf9zl93p7uTbhISAiQESIs8Ak0SISRQoDy0qMjxoEA4ImCZUxdSgASUyxXKq5SFZXnqSHERDhzU4oBF8TgCCkhFrNKDCkqQQEIqIEEgAdrwSDoJIaSTdPee94/1W/u39v6tx3yMNeaYc45PFSSd3nuttceac8wxxxyPEnzFVJjO/y//WzHysVE/pp2fZc3Nzd8y80te0W2ZOxJDaeqODTsik48vAxiTtjn5uL1Yz/hxeQufB/BwY8wBY8wJAF4A4ONrn/kogKcDgDHmfmjSw75J+aAKHTEeWCO0vWl4fv40pvIFhYpYz3++BhFfdzBlmHlL7Kr8FXpUZ8glNBKo+a4ybLPl75yk6Q5W1vxsfw7LrypMdvMgcy/HhSlAz1Aw6QSy1h4D8EoAfwvg3wD8hbX2y8aYNxpjnr35sb8FcNgY8xUAnwLw/1hrD8/10EooBaUuKLOztWjTpIOtfCa0loIySo2OSuvhZKOWDk/nNya0Rsx2tr1fTsOZqTA0y13KI/TgSdPBGobSwbb0kKIyiKPmeRbjpJ6bpnte2mcYjQSqyEHkUhMI1torAFyx9t/e0Pl3C+A1m/9TikaqATOjwqvWKKFOnemvD+T03WWAa35wtojPU0I0TM9/qbpLkU4KY3r+Dir1GLpzoHJThqBqEV/WGOPsTqy6DXAoDJ2slmJ6tEV8Q9qkPIUVmpQpuZNDqtc7d6haxNebDqbMS/pxUYbuUcN5EqvyURrCnXR1p2G0TKVM5R7VGrsmZF0HcYSaNtgpkT57crCZctdBLqgTqCJIiicL7Y4y7zNVujkyYSc3K44fsnSwPKM4YtsJu9+o0jEK9KTsDDBHPbNCCkMD0O5gPaxH8RnGDbw1M4fz6/uOQnK6RS6UKj+qGbUoaWpyrpWq2yb1k0Harqqp576mgzWoE6gy4ieezM04Vfht/8XrUQhzUvsJEEc6mDLGfDKqfWzXA+97ntdQ1hTSGIJrAgm1obgZlEEB9lbjwI2ltHHClw6W2sGQB3VHJOoYaVAnUGXosFfcCW0R3/33gdQw32sKjUBzgdOQK8todKU1Ll0+SSsfn6LU8lGnwHa2v98655iyTvBpdsZrGSXD6XT5O4FIqPznU1CzCOevKReONeltJpeaQDVEkqkTSPFDcov42ZRKPQqhS+ivnS0dLFf5B6bVeVHA6WkwjvLN2ZGopCVFpNdg9ySyG1SsMwiY1+ZQcoam/mZhc5Ozk6bqNgATjo6E9e0kvJeloyfxc6RGnUAVQZGHKdHo2TqNV+aA6p1ryoxSHtoivmi21bGQeQiipCG8MLSOokF7tJB6LhS2dt4S6EfiHqJEpOsYyTaT1gRSCoVmQNcwMVaotUV84MmNS0ewkGvmK3/GFvH5CikCV/nOsPmSa8cEUI/h485qlBlrW925C0Pr+45i1jqElVCu/GiasJQF/w/K3ZEYw3Q0WlqbOvXM1xbxDeoEqgyKoS1Orc4eZqrGMgUx7eJLaMLEkQ6mjDCjjPR0U5mDWW3RQiIuUhGaDqaFoRuGZZC/vUWVKpizDLbBkRbfovbQJLXrIZf9Yg1rozqBKkJCMS4lJwJbxJvuv4cXg97+NHkqZM6nzlVGUXgYl9TSWaailnBypE6B7Zj2H2b5H9haxDPdRwkjpjC0MlK4Vjfwm+Qc/SyDKu2hTSS0YR9CwrONRgIV4Ih2RZ1Aih+c4fDOzHzCUGmtDBsYfjNHOljeBhFjOljGUgrHsTB05SdfSjjpCkNri3ipNOkW4d9VxslZRpoq2AfngUnN9pA7qQ589K3IQZ1AlWBtmYWhuzps9mer6ITc2q1TOqpFO+r92OX/ZQjjc1c0Rltcf/Lyc0QyshYwZgFAnl4MwzTtqyscQ320a+bqf+TZWFhOfafv2wtrm/8LHQesdaUE0g43a4fs0Xz1UGM3WZJ0sJLGyYo9mfRJymc5vyDPLmnnB5A+enrs/toiXlFGEDctZi8YU49CWCUwHawbCTSQDhZyzVwNIhsoR7+b1Huqbz1qgtUoH2c0DWM766mGzDLi0Rk6K0KQuMnKDZXfOCXNzNDI8sCbNf+ozmbfojn0Hyalk1FSOljt6586gSrCmLgQVWMgNx3MAGZjHqXSikzar56b0KFiVv49Ph1sKf9MX8DcBx7N9dWYHj/ZaYweatohmfpUK5bu48vT7wIwhn0dMJhvVnd1hr5vf4wJ28i0cleJo/fwzhjA2mZbkuu43Dr0CSfz5WSATTt9ZlulmZt1b22X42dgIG3poTznGAVj+8WaHER1z5TKGCzEp4xT6wk5cde11J7/VHA6CmpYtGKgbxHP2PFkduoxfNxZ1YGcEYmsJ+eKN8GRQLXaE2sMRyqofAAIPXDNi5rlJzlSUcKzpb6/FNQJpHgi8BRr9o1YnZuj4JoHA+lgQ59xvWa+8mdMB8s1XCoG5/kvUHcpWZDCYJzdUK44hZSCmOK/+a5lfGQrI6LDs7xtnh6IDxXHb6W6bQqDdNH10se11gRSioSmMLRc1LM7D1RyjWoXr6enikhkFDkkQQ3n7axH49iSHIkFjNmEhEdWlzSGwhl0cmZ/oFFSdCg9KhcepHeoS/1o2iK+QZ1AijfyJsbMz1NrAc1NHem7kAy1iI9d/HOVvk/h4nBq3sA7ylfD6yeQazCmJo0xzVM8U+dEGBKKm+aMtbI3qcmxpa3nnL8md0diPFNO6qSFoRlqQ02huqdBnUA1YcarxTsh8SSUKcy05gXFB5eIH/90MN2sjKKRUk7pYNSwdH5jRvXcOJx6aNZRlX3ERXpCbA5dy6bI/ECDrDxBYYcWjOlgag+5UdDo8mY0EkjTwZQSoagxUP6U6KPWBYV2gxu3+Of5Dpo1hM9RUJTR6IpHAV1y6QRGy4mk1ojHEZZRfJt/NoypPLqPkY0Who5jKFJhji6OKSBZE1QVR1HrWib5cErKsy0dPT1/99CTH4r//Ij/jD079/A+VAJ2pn4AJS9ShhAOM7NSqbRWRmh3GrPy7wOpYd4GksAINE940sFyl1IIbvPf2Frlo8SSxmCdO13GoAS9moqYdDCV+TT56mqa55Zpa8fAv/kvS360JCs8nkHXy9NPOh2nn3R66sdgQZQT6OjRozh06BDuvvvu1I9SDHv27MFZZ50FYBdoagzI8yy3pPYsl0pUTSCidDDoBl4RiYxTLRpqdiQO0VcYuhD5FBJxkQqLsOKmxXV9CsTCYqM/Fmj591myFj2oKPzIt0tSP1vq+0tBlBPo0KFD2L9/P84+++wywusTY63F4cOHcejQIQAH6K5LdiUiZvcsZ26UBCMpHSxfLFmNgNGbNP+obozCo9aARj2Mok6B7XDWsVijiTSZP2O/Sp1BgMotDoryBKVT1BjjsINaaq935rJuJTvQkNFRNfX9pSCqJtDdd9+N0047TV8OEcYYnHbaacvIKktRGFpk1f1Wqcx9F0m/WS4uHcFCootU/ko/6U5eeTq/8aKzbJxy5FOx45iAGCeGynyETdHIsjF9IHJ2SGzCQkBJa2XulDi+XFEHdIMoJxCgCoKarjz15CWQWk/IiYvexrWLz9kgYmwRn6+Q5mfGk68y9KpEB39qVjd0nHU6mja6ilRCawKVUvg4lkZ+fZQhn9j1vow1JRW1O7inD8aSjS7OiDBlEnFOoJTcfvvteMc73uH9vfe85z246aabln8+++yzccstt1A+mhjazCtRyrV1VsymVOrcHIW+45XC0A7t4mtB08FmwtmoyNmRqKQkje6iqOE3dvk6Gx5QERcJpEyR7VpGWJ4gWxn0wJIWv3Wz5h8FyY+etOlgqal9P9KiTqAOQ06g48ePj35v3QkkF0uQMiV34qhneR585bri+KFKB8u4MHSeT604UVI6mBrO29n2WktyJBYwZhOxbHMcNO81tRnYjATqk1/2zkmqdLCcZaAkJYNom9RP1sqmdl0sqjB0al7/+tfjG9/4Bs4//3zs2rUL+/btwxlnnIFrrrkGV1xxBX7hF34B1113HQDgTW96E+68804cPHgQV111FV70ohdh7969+OxnPwsAeNvb3oa//uu/xtGjR/GhD30Ij3rUo1L+NHIkRcXMPomzN0pCod3gxi1IqZeMCFgcBfUuaK4bMoM65eNOxnNsNtaNac72xjxGvKS1PB+0A1QsWp5gitJkwzlnak+Pn7aJTKoDDSEHZ6nvLwWNBOrw3/7bf8PDHvYwXHPNNfijP/oj/Ou//iv+4A/+AF/5ylcGv3PJJZfgggsuwPve9z5cc8012Lt3LwDgfve7H774xS/i5S9/Od70pjdx/YRBrA3PYV+9UKtcFwRPFY+1gDHNs8w6qTOORAkhZvEcahHvEiE09jz1SF/xw+3Ui9ogtB2dUNJmpiY9N0YzXtZbxPM4TVg2L5uFZ/V9+xE9762p2vE2/dM3bcyFDBvTB2tBGoVRyjhZkQvX5tuCSZHKwlq3eFWbYE8j6XWUZLPFIDYS6Dd+A7jmGtprnn8+8Ja3uH/+wgsvxIEDYa3Vn/vc5wIAHv/4x+Mv//Ivg65BjolzAlXrODWV+ko3ABgTnA42egrhMZiMybw7mLFBcnS+vMHmhq6kVBVPJkTbyGiDXD6mfbeZK8dWPoA6W1cwFjCNvmpkxGg4m4F0GYpL5z1ck9PKz3jaBu0YUvoPJdu1LG82dcZGpK2drIX3zMysfLpjqEj5OWA2xh2RzStINc+agvC+ulOZB30LI5x00knLf9+5cycWnZOJtu36ELt37wYA7NixA8eOHZvnAROwzKOU5NKd+zS+2gWF9veq531OJM5LJrwKQ1coHyWaJLrLDHVPIrsBgBrXNQriohpU4tPUPmfFI4cAACAASURBVC7Ls5c4o2ZVt01hmKJae28sgNwP7qgQGwnkE7FDxf79+/GjH/2o9+8e8IAH4Ac/+AEOHz6Mffv24ROf+AQuvvjiye9JI37Y68SpDe8izm07ZYfPuF8z3wU9roioIpn20LoMg71iR+Ig67IoK9rOaJptIOH1TbKOaiXEYmhNzHwDT7gmZCoBJTny09RTP5lk2XAi1gmUgtNOOw1PfvKTcfDgQezduxcPeMADln+3a9cuvOENb8BFF12EAwcOrBR6vvTSS/Gyl71spTB06YhaoGevhF/n5oi6pWdUu3ib9+aL6+xL1Lxkw9HJphvecbJPw5iBZdpP69gurzC04g9ru+tCsZg70i1zSksHS9EivjKbfYmZdlInKwwtxEGV+v5SUCfQGu9///sH/+5Vr3oVXvWqV23778973vPwvOc9b/nnG2+8cfnvF1xwAf7hH/6B8hGDoSgM3UbyyVKu7SZw7rtI+s1y2eqjs5bvr0pXmYOkG7LyorxUz41Tknw0KiWUpjTAXcfHywL0k/eBxuxkvoEvsVkADeWtlbmjul8PBrUmUFXoyUsQ1Z6Qhy3a86SD5dtRhaQrnwO6oZtiDvmUpFMzT8OYhbUNHevpPI/eUPxpx8BJO/eGfFnBWKRb5mOesAuWDpUwTPVrmcsYTDTPtEW8KNQJpHgiULlypYPNdHWxEIszVulWJ39P6q3v4RYJmC78WcmdFM4Ya+aPbjXIN+IiLY3MdgSa0KLsp4SMzavaJWSKSwdr/8GRDtb+oyD5EWMStIhvkPFO9IClQZ1AFWFN/MC31UbF1EtI1E7f97p/rsULby0YuvwoQKqNekHRGrZSZ/cItqeTSUnyUcdoIBGn2SrzlgEpZN+NlfBQMlcRKGnJoGZZ6merZQ8yhTqBFD+MxHxtbRE/B6G/16z9s/8zAelg2cqfy1GQs4wicG05mnmtiflRo2g7a5t9y2cycaWRKv5o3Zd4Si8MHT82ynIW8nZJbdd6hluJxEU/JRpfQhxUqe8vBXUCVQSJUSnRIcKUY1rr5pFKrhtmA3t27gEAnLjrRL8vawSaMkhao6K0kVmrnnNF1NoXTaWO42iawtBhOkdlPo5AG9MH10OJKZKl68yEQ8cqhZeixpcShHYHq4qyT17mo1KpBaYxDbVTNsbgVRe9CkeOHsGpe0/1vm6uy1VTAHN+ci6ezQnpCXSR6WA6hpb0nFrySaegsVUYMVENVD6C3LEYkF/2Bz483WqVEWpfyxxbxKdBC0NLQiOBZmbfvn0AgJtuugmXXHLJ6Gff8pa34K677lr++VnPehZuv/32WZ8vFFnKVdPBcuHEXSfitBNPC+g4pvKfotolzTUSMPvNhZKKVAbj3HdVvRpIZFSDyrxhtDB05QcaeafA98EZsatrvQsljS5f9IClQZ1AARw/ftz7O2eeeSY+/OEPj35m3Ql0xRVX4JRTTvG+1xDDLTnd0YlTE2En0S4t4quCMVpEF/VpKDcXZdW1UGf3FJwbM467FNeBiIm4mkBl1XoJZXjcZa6HqGqeWB0nsdTrSJQRbdOLkLRAkbJJgDqB1rjxxhvxqEc9Cr/2a7+Gc889F5dccgnuuusunH322XjjG9+IpzzlKfjQhz6Eb3zjG7j44ovx+Mc/Hj/90z+Nr371qwCAG264AU960pPwhCc8Ab/7u7+7ct2DBw8CaJxIr33ta/HYxz4W5557Lt72trfhrW99K2666SY8/elPx9Of/nQAwNlnn41bbrkFAPDmN78ZBw8exMGDB/GWt7xlec1zzjkHL33pS/GYxzwGz3zmM3HkyBEWOYlSrtoifjbCTNz2n5TvI+/NCocTqNYNnesvNrlvLuZGI6W2s762cMqopFTD4hC8ycoErjTpVOjcXYOpdicAjd532BOlsxe1MLQk1AnUw/XXX4/LLrsM1157Le5zn/vgHe94BwBgz549+MxnPoMXvOAFuOyyy/C2t70NX/jCF/CmN70Jr3jFKwAAr371q/Hyl78cn//85/HABz6w9/p/+qd/ihtuuAFXX301rr32WrzoRS/Cq171Kpx55pn41Kc+hU996lMrn//CF76Ad7/73fjc5z6HK6+8En/2Z3+Gq6++GgDw7//+7/j1X/91fPnLX8Ypp5yCj3zkI8M/zNj4PGXBynXutUWU46syTManYhLnSlGk7DZR4EZdR+s4JcnHoOYOOjGE65xanfXO2NwP3WgjTctBxuZf2aKs8aWEILcw9Cc/CXzve7TXfOADgYsvnvzYgx/8YDz5yU8GALz4xS/GW9/6VgDAL//yLwMA7rzzTvzLv/wLnv/85y+/c8899wAA/vmf/3npiPnVX/1VvO51r9t2/b/7u7/Dy172Muzc2Yj/1FPHi+R+5jOfwXOe8xycdNJJAIDnPve5+PSnP41nP/vZOHDgAM4//3wAwOMf/3jceOONvdewtsyWsywG7PL0tx6FaS0As4hKByNfYLLdrfClDFm7YLqTHFxHhV1sjssFjYya4VhWOphFnWOoj3bNBLqn1zwbeN71Ole9moZ23gPARlSsbJ20y7i1Q+M74wMfCxiz2Tku8lTSFBSZaS33W5V7WD03Xf001SKeWzzN/JARRZn6/lKQ6wRKyPrgaP/cOmEWiwVOOeUUXHPNNU7fX8da6zUAxyJQdu/evfz3HTt2MKSDmcln4sZypYMJ+s2SeeTuB+EHOAUPBl09K0C3KlOU5uB1x82oqFU6Sjyp5tb8haG1o2AQkRsZFfm0k1PHZWE2D2fEbkEOtLmovSlAvfbyKnKdQA4RO3Px7W9/G5/97GfxpCc9CR/4wAfwlKc8ZZl+BQD3uc99cODAAXzoQx/C85//fFhrce211+K8887Dk5/8ZHzwgx/Ei1/8Yrzvfe/rvf4zn/lMvPOd78TTnvY07Ny5E7feeitOPfVU7N+/Hz/60Y9wv/vdb+XzP/MzP4NLL70Ur3/962GtxV/91V/hve99r/8PM3ED30R+f04MMFs+WL0O47Aoh4ftfiAehvMBs4PkKSSPOydmThnqjs8ql3SHDdmqjOikZApJB2vlY6xuvlZo+3kb08jI8raIn4vqdUYsgRvaRu6aDgag18PZzLHcozjinR2ljhOWvmBmy3KtdS0zG+M2Udo9jYy0QLOh1XAArQnUyznnnIM///M/x7nnnotbb70VL3/5y7d95n3vex/e9a534bzzzsNjHvMYfOxjHwMA/PEf/zHe/va34wlPeAJ++MMf9l7/JS95CR7ykIfg3HPPxXnnnYf3v//9AIDLLrsMP//zP78sDN3yuMc9DpdeeikuvPBCXHTRRXjJS16Cn/qpnyL+1X7IWpy4WsRXhjDni6wx5weL8WPzltH81G0YuiBpvstgezoY252NhqzLRcZGJmfK6qy4nfjuYDTPIQ0enVapzb7G6MFYojqb82duKD7IjQRKyMbGBt75zneu/Lf1WjsHDhzAJz/5yW3fPXDgAD772c8u//z6178eQNPp67rrrgMA7Ny5E29+85vx5je/eeW7l19+OS6//PLee77mNa/Ba17zmpXPd68JAK997WsnfhnBqXUnn1sMTEpFN9gJ0cLQyiDpjApryksz09E6TknzmbPlfUlYRNR9yXgt4yHzSCBD99zZyqAH3fxz4jZuShpfvug4bNBIoIqwIOgOViW1Cq3skzpOeBYcre8xyixpBmWkg7XUXidgG22a3Oa/8J6ezj+2yhm53LQbWn9U5g0WA060Quq5xNraJuMC2akx2acURiLa4RauOylpdU9Ycf9y0EigNdaja5R1JCpXnmrzsn5zXejmdJpqlzLnIq3VSkjJFJ7eYKpXvYncZKnMtTD0JIU4w7aQ0RVKadAoUODn8BP4SYx35y4ddQJVhCWo8VJS20pXZHrT58eKKnqb74LFWfsgTwnF4rcho91cSJojFOQ7z+ahvyaQb4fP8DvPi0YbhGE9dc4qKvNx8q7nQpn2pLo4jnodiYIjgYS0iAeAp+AhqR8hOZoOpgQhSrma+cMLDYT9ZibSq2nFFT3ZGact1aAyGoawnEURWGNXZMKqD0U54ZVV5GxkcsWiVPuC0glUEAx2+pLa08E2GZW1NUizpRHsoKoQdQJVBUVhaInKlaswtJKKVJ0MYrEWupmbm4T57020XFnU6Oz2Rdb6F46x+r7DiNA5Vp31o4i0Mfkx1iDRLn0mdPPPhuNpTu1zTFEnUFXodI+hwoVLlPMiX8OZ68Sz9hbxrjWBdNM7jKYHrbOmAy3fGJqqmUKCRrIE0erZDZVfMCzjOwWE6S6qi0Op3ZE4PQaTzTzRRavrQ51AgZx99tm45ZZbAAD79u0DANx000245JJLUj7WJPHTTmC+NkOOae0bbCUHal1UHeflTPXM1Jgpm5RvVwtDCyViI9M0OVCaw5E++amzviHfg69eOGvBVFi71B898FHUCTSKtRaLxcL582eeeSY+/OEPz/hEscSfvKhqrQlJJ3U5L1h8cizKaHTFrPxjElIZFZYOpl341tgWVs93wsxXGFrfty9RhaE1HWyc7NPBNNJBCtU6EkVH22g9NUmoE2iNG2+8Eeeccw5e8YpX4HGPexze+9734rGPfSwOHjyI173udZPfPXjwIADgPe95D5773Ofi4osvxsMf/nD81m/91vJz73rXu/CIRzwCT3va0/DSl74Ur3zlK2f9TXMgS7nOr/BqNJYl1TvRgrXTNMXLUz+FZPSEeQqZRmNaujJh7Y4pKh1XWUU3MrFYK8e+IIVqA15c9DmnYyJ3RyINY7I2qZzRnAXClUm0RXwP119/Pd797nfjd37nd/DEJz4RX/jCF3Df+94Xz3zmM/HRj34Uv/RLv+R0nWuuuQZXX301du/ejUc+8pG4/PLLsWPHDvz+7/8+vvjFL2L//v14xjOegfPOO2/mX9RAsqmXeEoj2uutUCFqzHkgyZlWInHtmuPvXZreyXWecVKKI1FrQIVh0USIhzWIr+9AyQ+BNmYCSp2b6jjloMSRo8yBWCfQJ7/+SXzvzu+RXvOB+x6Ii3/y4snPPfShD8UTn/hEfOxjH8PTnvY0nH766QCAF73oRfinf/onZyfQz/7sz+Lkk08GADz60Y/Gt771Ldxyyy146lOfilNPPRUA8PznPx9f+9rXAn+RH6oW4ijF8PdBzgY3b4OIQ461by6mjEsziwO7PHnXPIa2MeDA5UoHm32/VFy0AQ+3nngNAGBDg+mDaca3FPuCkjZKLPFjSINTHsu1vlKM2xhMo/v10F4SuoL1cNJJJwGI3/Tv3r17+e87duzAsWPHkjsS4ieexJQKjsLQeTshlJTwjJxqU+YS/3A1ZcompbGqhrJMFuYYAOABu08N+LbaEg0DUZQSo80DiE8HK+1Qhz8dTBmm1EgzxQ+xkUAuETtzc9FFF+HVr341brnlFtz3vvfFBz7wAVx++eVR17zwwgvxm7/5m7jtttuwf/9+fOQjH8FjH/tYoicepvHZLGAi/X7LmghCnEDWqrqfA2shq+ht5gYRT5ef/A3nEMwyNcNNylQO7GaOlLVRN9ZIUe3JadfM1f9oAGtnPwRpLj//izAwwg505GMtYM0CD8Z9sHMjwISuPPpqerhtOoEW+cmotZvIrkd2pbSkUDEWgLXujX1KobtujdkmSd5JZ36UGQWYH2KdQBI444wz8Id/+Id4+tOfDmstnvWsZ+EXf/EXo675oAc9CL/927+Niy66CGeeeSYe/ehHL1PGpNOds5KMGDt3oTFTxsmUN8aGKer2O0RKvr1MtvI3mDU2fCnuik92pqRrDGBt4wAnH0cF2DJbw7OAH0OJATY66oy3MPR8hrLa35GYBTaaF+T3NVPOxj4W22NflDEu7eaSH37g2oyTIoSxZGmnR8jFBWOwFU1WqYO7axMO/32qg1W7ubZpIpIE1Am0xtlnn43rrrtu+ecXvvCFeOELX7jtczfeeOPy3++8885t37300ktx6aWXLj/ziU98YuWal112GY4dO4bnPOc5eOYzn0n8KwYwFCa+ROWqOaaKZEoz54SRsDC8Foauk1JkZKBOiRAsNp1AQV/W6KuWktPBYknWvWlmNAKEgWprAyi+qCsuAb/3e7+H888/HwcPHsSBAwecC03HUuKCwkWpC/I4cja4uddk0sLQc+IWXmzmcGAXZmw1ToGyflMc/TqQYxPP4WCsc12jIMIJpAAo2PlIeChRlow4f03tjsTpMZgsclxbxItCI4ES8KY3vSnZvamMSlHKlSHH1EBa9FNt5Ltk8M2VfGXEwkyvQaVeNinfrxQnvLKKNeFOoK4zuuaoCDsYIVvGBr7md9sL4+afNW03VyqvTaY0aCRQVdjonGtVrvVgSdIH6cjWCccox2xlFIPnySu14VPSRr3eaLJ+7LZIL74N6vZ706ORX2HEpYO1/1C595J9OhjRc2uUXjRV2kOA8OLLWr5DEuKcQNVO2pmYS56yFqf5lUqdRXcFpYNt/lP1wzC6oZtCYj0zWciY7ZJY1YHchyD6PmQS5QRSADRWmxT7ghSz8o+Iy5RWO4p/81+S9EIYk3Sy8SXaQVUfopxAe/bsweHDhwtTfOmw1uLw4cPYs2dP82dQKGC5G6kiDQqlIeMItBKLB0skhVFhTXlFvwWqdnFIXP/C0GiDIIwlSQernf51sZUP77MoPOjmnwOdPIobomoCnXXWWTh06BBuvvnm1I9SDHv27MFZZ50FgCe8PAlMv6s6Y1ngBlcdKsPkXjw7FOtYa8DMkmZQlsS1UPAa23QgYzoYR2Fo6GY7hHt33K6zJJJS9Yylinixha0unPuP7FMKI3FKkU9lL2o6mCREOYF27dqFAwcOpH6MoolfmCQqV4bC0Lo5SsrK6WlGa0ezweJxpmUklkTMIyE1Zsom5fvVsSWTnYt9uAfHAr8t0YbixwL9NSpF2pgekKW7lDn3eXRambKjxGhhaAXC0sGU+YlVjTbjtBzFHymbkGM77gUA/OjeHyV+En+alCEeOda5qHsWhiYMfRjucJMvdY4hR2zHGT03DANLC4GHsw8nhH1RxT2KFJtDAjo346g95VLkXFrWzBL4bBWiTiAlCFHK1bM7UNAtIOw3MyCp3sm+u08BABxfHE/8JJIprZCkH64nr2pYD6OG2RoD6WAcWIJunspcxDv2a9bVwHS6Y756msYeLS69m7MgcO7RZESMyTpdsxstDC0JdQJVBE2NAbnKVVVKuRjB484FHZszkrLWmSnPcZLrHOOkFBlpR8FQwg9Icl/LKBnSncaqk6xUSlsvRVJq/VeFHHUCVUWpioHjd9UYNq9FmHOi2dDViOPJ6yypPGVJXAsFr7Lt4IQxHYynMHRh0QZKNhRrTxFGppckI97fUruj1aVZRqI9jWMjD4UHdQJVRnwckMD2pgxhpqa0Tg25wVmLgxiujmZG63WNMtc7UKmXTcr3q054mcTp9HzXMkrGejzkXauKyB4tNR2MQ6epLTSJFoZWAHUCVYWlSF1Q5VoPgmoCZb0Z0sLQ8+JpXFLKiLPoNwd5b75mYC2svn3TLDLiGFa6EQgkIh1MbahJVEKZ2zxCqNbRyulw88RC7rPViDqBKoFaF0oxHLu/a97C0AbWLma7vjS2WpvLUtRSxp1UajN6Vub/xMmrXbQn8DTzeOwkO1eMheaDbdKnA7m6Y9rNmihz383A6Pv2JFZc7fdrXcvaeTVmX1jkGXltLWBMs75oOtgWzVq5KReWgsBtOlh9uNtE/I1EVuaHFoYWgTqBKoK0MLRAw1Gaw0KhR+K4m0ZORFWZpBwT5b3bHGcYN3nqoX7K+SV8UNhSJY0hbyYiFYzNv9Nl9LpQaHFstdM5KG/cKPOgTqCaMHFH12Idt+3vmukBjam06K6QdDCx404IrXyalrLVjdJOTbDh5ayR0QwO7EK6cGzNsUrH0BCbuh/GNDLibD08Y6rh8n3XqjMiMQgzpYwBrC5ogxhTgls9fj4VOUQi9x/OtzGAtY0tUKtuMxM2kTECWsSnnudFTjJ/1AlUGbETj7UmgiPLHNOZJ3WJpzK5kHNbXa7C0Mo4c/lr9N2WTcr3q2NLKBHKxHA6EsXS2mz9f9scumUqH7JGJXKj7mPg0WiqNyfRenAK1AlUFRZaGDqcCn83RSFxKjLuDgbwjZ6aF3VXGZPKSEi0HBVZb75mYb0wdN56aB2Dcn4LJ+rYnxeVrToLKahWt0luwy64aHWNqBNICULUwsSg8Opsp1jb750LHjnW3tlp+uS1rA28Mj82oZOP495qiKejaj3ksBHMfS3TubUGWYSUy63UgQaMj8F09mLd70Qa6gSqCgqjst1IRV+IHF106ZEiUYlpiM5IiqgqkYR1eUiiKwVhEnQMyZEs9dAA5fwSTiJaxGec2kzHRGFo5C8fqnWhNH1c0nopF/ljRkeBDNQJVBG5L6rDzP+7aoyykBXyrlEcUzSpHamfgh87saHY+uAcm6+yBN5EPCpbrOlAxrRUCzv7qXkJm+00SFobFVFQHUoUFs2S4neUIjtfrGPUVRLpMEaEKdOoE6gyogtDS1yYmJSKqN+sZIMtoN+JMoy+27LR96uQknl9OxKmWsTDZHugwdWoJDt08y8O3dMo6gSqCGsoDNo6FXiVv1pQ0VuRzkcPOE6Nq28RPynjeVrElxURUOkYGmLtVJ8rlcc5ui2SGiNcKYhx7JelL5S5KK0IPSvVO1qn1490ekgLQ0tCnUCKF61OlaVcOZRKvidTSjqaMcM3cOrc0LmdMLb7+TplpISSxlgV3N1FIXH+1q2Hpsd3tvKh6n60mZqbrRy2wbn5z/vQkIpRWVuTNB1MkYE6gaqCrsaAROWqnmV6pMjUZnwqRhOBp0ikKQxdDlojZoLiTpg1EigV5YyhAFzSwTIflyWtC5RIsSmLJgNHi44DGagTqCLkq4VAGBRejS3iU7ZHXkc7qkzTGM4VkjgdrCRK2HyRsqYD2boUUkUTTN0GdRaTj0XrvCnDUE2owhzOnGvlsnxArUxH2qU78NHaUJJwcgIZYy42xlxvjPm6Meb1I5+7xBhjjTEX0D2iQglZYWhRC5MWhlYkU1rdGKWLvtuy0fer9BE8LjKvb0fDuM1mrDQb0wOiAsi510Hcjm7+pZHtHFPImHQCGWN2AHg7gJ8H8GgAv2KMeXTP5/YDeBWAz1E/pEIESWRHnQq8zo2AIOeFyFpUsqg3isPVuKQ3qkuLCNDIkFW2jRW2QxAtDC2bcJmJWVMFMCQJlZESh8TDakYcHJHJ5piZjlJS+HCJBLoQwNettd+01t4L4IMAfrHnc78P4L8DuJvw+RShiDIcmULnRf1mDgRp6ZzTwbgcBc0GPj/5RONqVIiMYlREkywllsdQVidQKPHjomo95JAalO+4pLVHixknpv0Hg0YtLooqjKnC0EBB40sJwsUJ9CAA3+n8+dDmf1tijPkpAA+21n6C8NkUQqxt/i9eAbeKYxH9TBRYu2Uoz7q0VKYn23VBih8o73VKUESVI3feeye+f+f3Uz/GJN357/JZ6nvn+G5HseoUaOkbW5Zpc8Gl7/RN+xP9birvUtjtmDlcGDrPzam1IOwOVs66kuRV2lQ3Tkuzbk3vz5K8ks5Ni7KbMsbFCdT3ppav0hizAeD/A/B/T17ImMuMMVcZY666+eab3Z9SIaFco4OhMHSFLeKtqA2unlpMQtjy839f97/xP6/6n0RXmxs3o3uWor5SpgcR2h1snVUdaLj0EGdh6FnvUCay1kalZMrRx5w1gSqPBHJYP0wqZzRRzSyFBhcn0CEAD+78+SwAN3X+vB/AQQD/YIy5EcATAXy8rzi0tfZPrbUXWGsvOP3008OfWgkjslW1MTILQ9u5lYqpeEEJkWn7HaL30Yw7kkulwcy74M1x6e/c8Z3pD0liQsbGUCRwDF07f2Nm6yfk/1vmgv01m/luWsCQTUubJugpSKk2FDub8lvXnUvTIes0xSaE0GyEN19u5FDWOLHGNnbczMpHddv0Kt61h1KMrxDdqcyDi5b6PICHG2MOGGNOAPACAB9v/9Ja+0Nr7f2stWdba88GcCWAZ1trr5rliZUo9PRKcUZQi/iWfA1DDnI2nMOxrh7COTZfpqyIgLw3XzOwrgOZTk/b62tNoBIpR1/EMpYOljuaDpaQ2lvEO9RJTGe38ES5Km5MOoGstccAvBLA3wL4NwB/Ya39sjHmjcaYZ8/9gIpMZBmO8ysVU2WtDEm/N99TMcvkTKs3lcd1/lcc0acEksrJxxMyn3Ur7kRYInujbj3kUBg613FJHLZczjjh1KX52ovccI8v50M7hYWdLh+y1l4B4Iq1//aGgc8+Lf6xlDmwJKfWcpWrepbpkSJTKc8RSu7PrwwhL1ouFoGqXRBy1z+Fi8gorTaarOYxNFmzJP9Dt3hLuzxdU9paKRf5dXfUJpZBeNKqkiHlLCYrMHiWq4yyiKwhNQd5vgOeZ642tcOxiO4ctThKO9WqdgwNsaYDDVfrYabC0M1mW1EUcZQ2MTnXytpbxDsVhk7lZORJdVbcUCdQZUSfTohUrjxe74IOZDIk31MxCz314CDVqZe+W0WpiEgH3TLCQ5QNxc34RtDYjH0gxI1KyhknZdXPK4VyxpcSgjqBKoJmM1qnEq9x8dI2uHnR1PdI/RQp8PvR1EZPSTOk2XxVOYh6GdKB8zujuQpD6/sOJfzdlKQx4hhylJRgd5RcekE66mh1cVQnmmPaIl4U6gRSghC1MHGEzuvmKCltJHGW74Cty1qli6rr/NduK4oviTskzr0Z1vS/EGjkJcqG4sYhNShf+eT63DPDrEt1tR+nlU++80yhQJ1AFWFhEe18FZkO1qBKnxhRLeLzPhXjOtmUOC+lQSujsqLl1CkwBdf6p+9ALpHpYIJtKD7GZZhzhJolOpQscZxwr5W52ovRiI620RbxklAnkOKFTJXKURi6xs1RWRvcFFjGCLKcHmPGhQAAIABJREFUDec4XA2evB2JSgpWdaDhiiZjKgxdr85QlAywul6FUqfN3mCXjpaxDyVyMrI1PVBcUCdQTRC0iBeZa8vk9Rb1mytD5LhzRlJEVYEY3sYjXayoaDkadM8xjDVlORLVEA/AOGywHChlDAUxIcO8N/CSozASUuBaWQJV6yFFnUC1YMlC8OpU4zX+6qaQuBB0nZrEaLvnUbbC64mvK2eWRJP35msGtm1ceJzRTie5VPfS1+1FtC2ltcngkg6WO9HrQoHpYNxUKzuXFvHJZpk6SSWhTiAlCImG47xKzYj8zbWR46kFW4v4ajcXrhGOtcpHiSGlk4/DUK52o5QYlfs42cqHKCx1Gf2coc3TB3e32ZIOZ+ZgWRg613mmkKBOoGogOlkUfDqhSp8YgvRBKvJOB+OjFINxTihlVFo6mNaIGWfZpZCpRbwikThbqrTNfRCTkQo5H7rxRfEp4+Q7hmIRXHdHawKJQp1ASv4wFAQxVbaIl7TBlfMk3jA5CqrdwLvKt93A1ygjR9gKH2fCdidfYYWhrab/eaObGIWD0tYr7hbxVdrsm7jUSbWpnNHqJJWEOoEqgaomkLRTrOYxmApDC/nNHIj8qdZm+g7kRFSVxlb3tWn5LkcO0RiyFjCFvVuLuvTcGL1iYNqYWctT7NwAGnTkSTPv474P1LtBXbXZ+j+T6wbeWsCYBQAKe1SWrR1DM2cWRa2VUvEdLpzzrLWZFDmoE6gaqLyvdSrxKhcvSelglRvOLhgYcoOxBAN0yQwnX8Wlg2W6+ZqPNR3IdnrKWBha37cnkelgGm03GU0lxe6IoYTfkDPa5GBcRyUbnUzdnBU31AlUGxETr/tVScq13YgZM89wNqbOVBspKjr3tcLOnFbXyidzMYVjbGNXjAyUZg5XK6FJcp9jc2FaJ58x/DKaccwudYamg4UR+G6M2UqyLsrBTsSKfCoel8Z0u1kWIgfDY6O0Y6jmJW25Vg0sWs1/rlwPqdEDQJ1AFUGUx85WGFNJjawoh8oXLEeoDcZcDFAfvUb7m8oyN/X0dBy+jir6DuQS+24K29wHMW2PZrvWE9eMylYOAqhWdhnULZP8bDWhTiClADjCC+vcHElR1Fl3B2NLq6tzjDpvypIVQlRyxW6bu4UVhtYKDf4s342iKO7wt4iv0x4CXPZEySLNMnBQ1YQ6gWqByHARuRlniljRzaMSglvZYplkMeaTRqxJipajIYdXnpos5oUikmU0Wc1jaKomUNZpikSHksWlg5W3VpZA1XpIUSdQPRBN9EqLGnJ0ahGHpEVb0xAnaYr60lKMAdqB8jeVpg7rPj3tZ+UVs23MtDC0XPQkO55yo6ksWaRDidLho8Y6nltI1lFaGFoS6gSqjDLzlOcPM9Ww+bTIXMxc4QmDzltGMTjGWs3ksalX7hWQuEMiy7omai2Xj411YJQW4TEDzQZeAaTZ2uHYBOlgyjAiszoUdtQJVAvEpxPSFIeqe3q4F20XpI07aZAXhs7EAPWJ1KP9TYKi5Qio+/R0mqXhPPO80HdQLlxjSDQOLeLzlQ9NpEO7pqkuCCfbIRSL5Lo7WlNNFOoEUvKHKVerusVYUjpYxobz3C3iWwzo5ZPFmHcUrp58TWNKy2+LZm3ucg0dQ7ORnLwNNOLCG8kbrMwoNSWExiQtTDYJ7Ml613oXR0sam3orkrKw8Z0p6gSqhoILQzOV3pX1m5Wc0AVvTtJFrG3vHpU/quWmKWUt0BpQIcTaUhJtKG7Gf3vWEYnEh5I5Hnz1U95aWQLZzjOFBHUCVQLVRLcLkstkR60n5FIW7VxDo60FY1Vx+rpV5Rig0FocDswRTZYzQy3i55eRhswrBVN0SgiRs8O2rjDVxyFU7eB2iCRN1uyGKcpVcUOdQJVRZGFohjBT3RylplFVOb4DrhbxcyzqWRhRidMW1ZQpm7Rja/6VLYs5LorIdAbtdDlJ1Rv4TYpbV5jX6So7+nqRb4kFhQ51AtXC0vsafSEAmWwOlSisqJpAigs1zkvr6WajLwxd0izRzdcYhrlFvCKX0FkvM6Wem2lHWrbyIbabdJMeTr2yk1x3R/Kz1Yc6gZQi0BbxcyBpg5uz4czXIr7W7mBOaDrYJFJmuxgG0sE47tvcjWNd0/nghYYYkCHHvqCFLh2srPWKu0V8SbLzwTqsH8mc0VpYXxTqBKoGmoknsr2psSx2Wa0LigSWNYEkjTsPck1/zmLMM83/PkqMlsvinScmVz20TpPmnPopciM2HUygDcXNhMJuWsQzPQs5VA9e2MpS4FpZAlXrIUWdQLVAZtgvCyTLUByN/mLxAFWF3cywkbJo57xOWS4Pha1umMJa93LY1A5sNt3DSJ0Rj/0073exogPbdz63o6wdo7PrX33Z3pCoj5wXtEi6enN8fOcno7YRhKaDrZLqJ5QgO18am6jp4DNafDlBk5+VuZ/ryWhhqBOoMugKQ5NchgiOdJt6Q0tlkHdoNE/oK/098jCiHOf/TB3+NKy5YEza96vrmkAiO1ttHaOp3IcwNpe1Zz5y7Yg6DFeLjAZdl6fI26ZWaFAnUDU0pxMxarFx3FaoOGr1WBsLYwJURCsvIrmZxBsxGuZ7/qWYjSE3nLOY5w4Ra8a0GpD4N5kyTrS2fgL9GMqZlWpAplMYem4ZtTvAmcZWAUM2GXZpSxlvQa7YUDXPs2WjklX7Ymk6ZO6cNMZ/bKx+f2u9Ko6ZlU/38jmPoRjMxvjoSTq+2kg5XYREoE4gJX84WsRXeTIlzwzJ8h0w5cIbW6/R44ZuvqaQNt+Ts23u8kioncfzxwGpzlDSUYIDfRtkNerKWq+46+fVabNvMXVwuoxIZJeRpIYzijqBqqHgwtBMSkXSL66O4kKj80DWPB8ioVGxrXtU/ugcm6YUGWkNqBAiHXQFdn3yZ6owtNpbprhxUt5aKRf3MVPO+FJCUCdQLRAWp61Rjde4eFldtEngkuMsLeILMhDmqLFQknyA/NMwqNk2d9k6O2nxTLFoi+N4IusqyUbtJgnUvZa5RF0lTgdTRKBOoMogKwwtSblypINB2G+uDJkRaK4wpYMx3EMkzvN/rsLQSrEkNljn3kzqusZPujSMfDBam2xJMXIgS5NzvB3frbKErb6dIhp1AlUD3cmLLtCVIKhFfJUFyQOglk4O89x6dh2h/U2FnfpaTcMYg62zE9NuyczUMa9saNLB6mY8miprCVE5jotLB+OnWtmJTlOX/Gz1oU4gpQAYlIqtMbRUlTUFlq27maaDjaJG9SQ639dZ14Fc8uFLl8nB0SuR2LlStR5ySKnLVT6aRj8Mp1yaw2q224ljsmPq5j/Z55mow2VFnUC1QJjHLi6EnEmpqLGcjmU9F30HyjrMYear9y7PoBGl24VSmh4q7ffMS5ys8k5t5qLGQ7d1ChsnWguGEY/C0KWMLyUIdQJVA2Vh6PpUeX2/mL+l5zhynsQfvppA1At6LgaCm06iN6pL26jMMYayZt3JxxZNpsWHxVJ0UWMuCpYhkd00RyODmhB3WM2IdUoHSzX7NFJOEuoEqgyqqSdrozC/UtFWujLIdVFn6Q42Q62JPOTt9oxzRQupQVM2Kd8vx7oG5DLPS0FlPoWxectH14Q+eDf/+g7GMZoer0CdQNXQTvTYlrPW1u1hrws5HvtcQ+htAmM2NxlF43nySvo+REXLxVN3W93trMuCTQ9xFYZmuUtpREZp6fTaiqYasEel2B1hUL1g0xTqr209J6TetUywXVKYzZQ76gRSvBA5fZmUSnULiqR6J5mKful8ZbgXVaG/O+65Y/nvZRmgtBv46vRBjaytLZapsxOn3gBKm+fzQvVu6pa5Q2HoXMVD3B3suD1OcbX0JNj81zzHXB2p/DLy6+aqzIs6gWqBtDC0tNNinogVWb+5TvQdzIu1Fm//17dv/TkbeZebssNNLm88JfnMi3E0HYwflfk0Gm0ObBzfCQC4/pbrEz8JDdo1jRGPSNLa51ntqBOoGigLQ9fHHPVWpCNp0c41HWx54hmZhukGjYzuOX4PxcOw4mTzkOfA5zYWpzFWmoM/Nf0t4ufXQ5x6Q/GC8ECtWoourk1jN+0+sr/5587d0deqEXmH1ZxMR10l01+aDiYKdQJVRomFobm6WEn6zUpe8LiA4u/SGk33P+n+zZ9zGPPOp17zvAU1aMom5ftlKwydwzwXQ6QDw6rMp8h9A081a/eaE4iuJADmzT9TWbV8UT2kQJ1A1bCVx15WOhiX/qpto2ctRHns2yeRMu7c4ZNhOxdiZNQaBLmkLDSP63byupQPkdJY2PIiAowWIl1i+0oXLHjmRROFqe9BIq3OCb8A1ZPkyZb8RvR2pjKyFjDE3ocS9HHbUIb9vrkOpAjadcvJLmEeW83tFkXZTLmjTiClAOYvNCbJ8cUBpdOQgmxPrBlTB5aFoQlkVGIaSrZjiBEp810O/elgHPflvZvOCWeIdHrVMneQYb56mi6Nviy7k79FfLZDiIDpdLAG9vFlrEZpCUKdQNUQX2Og/aqBsAXa2GYgz7RxbS8r6jdXRPb+iJmfn1I+rUGwYZqlIYsx30asjQhinjHU3Df34QmsyqecTQcBrVyMWZVRDvNihOVv0ZSAMAI7ZxoDbForKvMeGvmYwpwf/nRt7WIwlsWWa8dQzSyj0QYEXtJaFkz2Gwsa1AlUC+p6VbyQV7gxz44hjJFABIWPc0sHA9pndJMv7RiSLxtfxDn4k9O/nZh9XmjxYcHo/IhHnn1BBXWNStXHYeRpL1LhEnWVavbJaTijqBOoOkqrCdTA1SJeSUnOC0duT15iOthc5DwulWlKfr/JUgKyJs5BR+GsL4WhdabZwOeMpoOtI6nbrLJFKeNLCUOdQNVAWRi6vtOJ2lrES6sJ1JLbuEuxwMbIKNt0MMfHbOoE0PwmqXMkDi1HvMLawDJs6VM8Y0vrZKWgJH0RyKTCzllGdHMpZymkpiQHmjcO0WjJkkMENZxR1AmklACDUqkvtFReuHaWizprYeg608F8qG8e+yFpvkvAbksHK7MwtOKBoXk3dTveCi4Mrelg/TAXBK7xsLqLazoYv4w0IkwS6gSqBjqjUt5mXJVKDegb5iOvdLBE859oMygNWbpdJqXISNPBQtDuYHOjzvoGebZ2HGqnc1HOmFHmZWfqB1CY0MLQkZS1GE8hNdUlv5MdPkeBb4v4Y4tjuOLfr8CRo0fwyPs9Euc/8Pxt7z0LeXucvFKmg5VoaHXTnfJyBM6EWdOBXOlgWhhaKZlCHegNlC3iS4J3vSzNgeaFSzpYqmjvwM6KyjyoE6gyyGoCSVKuTEoliw1xwVS9qM/A4bsO44vf/SIA4If3/LBxAtnVmkDKNLpRL5uS325Wzl4h2EjHPl9dKfkM6U5jM17ridOeihknuvkXSTHjSwlCLf1qIE4Hq0xv1BdIpSfRNMhtET/2uTYKJB9DnL9FfOxmUCKaHrTOWmHo5X+dVz7LscUUjaXv24PoKK2SNEYo4+NNJdSgB19x1Co7p05syUSj5TskoU4gpQDmVyqmuq458ja4WRb6SxD27iqj7ufaf88yHQzuTlradLASkTTjBWDW1ha2LpHy9K9CS60bVABOjrR85UOZDlaSBuDd/Nd4WN1FbjqYdgeThDqBasHQnCxaKzAdDGos10COp2K5GSFZpoMlC9MrN1pOHWXjlCIfTU0KITYdbPMqKvNBat/AL7G2qHFS3koplPpSF5RAMrL0lRhy2zx7waDwJDq+5kReYWgpz+EHpxx9T3a6z7b+nbzSwdxPGGnncQ6y8UPTwVYZahE/u3zYCkPnqVclIGdtzBHedEdWCGvf5HjwNQizY8LYmtexaZsoXbS3ha47clAnUGXQFIaWllLBp1Rk/e66yDIdTDCtLI0x2aeDpUTNmTKR5winR51+AURvZnNysM/L0MzK+9BNu4P1o7VgJJLvPFMoUCdQNVAWhq5RcdS2eMmrSZHnqaHcFvEt3dSvXNPBUrSIL9FJoOlB4/A5R3nGljp7Q4jV6eXoi2AmHWkqoxadm2EUFUXli4tNlEo0WhNIFBlZ+koMtvP/NBeUoVytBWAW8yuVNo+/kkVlYWVtcG3m8pfcHSzndLBmXLhFAlLXMxOiApWZsLYxVtdHFkdWA1fnOR3C/sTO++VaVqkC2dLZE4WhM5RPY4/SbXJLcWRYC9gEm39rF8x3TE9j57h0B+M/AGjnvmFrsKBMoU6gaqDb1EtcmKQ4K5T5yDIdTHCBvnLSwVIXhi4PafpdGqXIR9PBQoizpXyd9TWSe7S52qP9qFy4yHfuKLyoE6gabPRuRW42zrwKz2yYCtMkNk/BQ156+x2iASN33LnAVwDTBjpu8k8Hm17IjGkrEhA6sFsHX94DFEBnym5Ksh49N8y6Q3RLRhw18Vq9Mc887P4WxRPTiRDznPsFqAoaWhmuje8y5LNpa0f8mK31qiRdzLNeLnWbrbjD3ETUVTO+Ntd6ZoeRNRYbkfNDoSMjS1+hgKwmkCTtavgCLnI+ncodiRFoOVNCOpgEdCNdNjW8XVHreSXULfPxKEpj813rKdOeirJ5tBaMSOrWQ4o6gWqBsOVsUQuTI7UtXlw1KXyQ15XOBb7aSt4t4gtKB/NqEU9eGLocND2oS78MeFJVuCII1dnrD006mDKMSkiJJfeUwiiMS4v4VGiXOEmoE0gpAA6lktOmmA5V1jRwdgfzpS/1K690MPc5qeN5CpVPy1D3N84xpG9DHtbQOH+r3aACToeS+dpatC3i85XDdnh1Z93ac7o7WLoDgLrfjCwysvSVOCgjgeQtTKpUiBFY0DjLk50EcnSdm33pYN3ooO5nSoLuN8nqoEeJNP0ujdnlw6Q3lpFf+r4ZqfNAyYfco83ppm/ecliHvTtYQbLzQ/DvFri3qBl1AtVCyROP4be1t6hnUZG3wc0xHWwommAOqk4Hc0yxoHVg5yAbP+rTc2P0R3xwOKO59IamJoUgb23MD76GCeyUbGvHwCwXiYfVbHikg/HLyILfHagMoU6gyqApDC3tdIIvx7TaRUUpluzTwRKj5kzZ1LDZl7We54Gmg0UwkVLXOFpzhTAdzOR38DWM1oKRSNV6SFEnUD0Qp4NVpjhqW7wkFr3Nc9wxyrGN4qgsHcynGwulA5szyouLvCLA5mVonLC2iJ87Eqi9m75vD+JkpdFX05SkU2PI0+aRgbzDal6mZ1CiOaZd4kShTiAlfxiUSq1dcyQZY5KeRSK+8ikqHczxt+sIGkfl02U4HYwLfR8CIeq0modunYuCC0PrJrefBOlgNTOZDmbT2XjqCJeDOoGqod3wxV+pOQmNvw4l6iCgRtgL3iQ7w5Bow+CDr6OytnQw6ppAJWqe2pzdvswuH7YNUz4Rf+WgMnchZ/nQdQcrKR2M304vR3KeiK5LJfnZ6qNcS19ZRbRSiIPHWMgpMiIeTQejgk+OvtE7paSD+baIp04HK4u69NwYYy3iS0sHU3yQtzZmR4LDkRzJ0+bph/93lOVA82M6Gi1ZdoNGyolCnUCVUWRNIEalIup3K+KRbIOUkw6WNrxYNzJlU8PbzWWeyyDOgZGbbp2HicLQNuN6LrrJ7UflIpK69ZCiTqBqIMpjhykuRNWFggOpBpB3UpfnuNN0sPnxiQQiNHomOtzkiLaI77JdBm31qfnlw9NCe+mQ0PfNSkk6Yw5UPg152jwyMLZmveZSJ1EPzhR1AilFMH/rST29S4+4CDRh+EbDlJMO5m7OqPGhuCKh+5uOVoEQOX+z0K1zYaadnPnKh7BFPHKWw3Y4dWnta/2kC8hmZOMps6FOoFogPLWWuDDVre7noLwohyQkiBZxrglUUDqYD3S6K72TgJqS3zsVLKfzTKGn2iI+hPh5rxEeDUMylNh8xBlNexqEO6Je2j6FDcmpCzo/RKFOoEoo1eCwFnwKz9pqFpWFteCIsHLFWuJUHkYMkxwNEDRG+1K/5k5DoaIZDm7ypR5D7Rwpjor03BhLJ+nKf+M5BLG2MZRnj3C1Rt+3JxkuQaJodfb0Z/LD5bf5UIqz0FrAmAXrPXO1F2PxsYmaz/PJqLnVQsy+QlEnUFUYACai1ke7L5S4MBmYrQekvnbnstJ+95xI8QN0x11ucG2uQt7VWDpY6xjKanM4IoS5xrLxSEWTjJS5Lg6ztbaUJKOSfgs7pnXQBXzVcNaVEsxAhGwZ8ok/9FmxtbOVwyoWFhsMiqcdQ1XT/vwBea/saQoZX97oIghAnUD1UHg62Nyk7D6UBpnpYPmNOz45ereILyUdzLdFPNlv0nSwkhnSNZzpYLOPLavvO5TYdDBlmNzlk/fTl0FJDjR/XFrEJxqlmg4mCnUCKfnDoFSWtROqXVTSIzECrQRyTgdrsM5O2px+lZKa9I5wHa/yoLIB6l7L3JycWcqIsDxBUSlNzJv/2nXnpJNHDwAUqBOoGig7nUj0sOd+ciQNCZ1x1pHzJB5wneh3cJ2bxaWDOUJfGLo8SnzvVLDUBOJKI2W+XxnEz3uJNlQKhgtDN+QqI7ruYGWNE257shzJeSK5MLSgWqOKOoEqQrJSiGX+31ZfmoTMDW6uBhFLYWjPk51S0sGsxwkjZTRZrmNxDN8xVDJDjnCeiEQe53FO81wpCNGbVKUE6o4cd0kHaz/JLCNNBxOFOoEqgyYSSJjRyKhUStz45UKei7r85y0iHSyhWaGnWmWjb1dZgSC6U5wNxc7WAUQfWTsnCe3RosaJbv5FUsz4UoJQJ1AtkOYplxWiqvSQII2pTDgLQ7d31HSwIUhTeQo8zc49DYOWocLQDPIx45tkstts/lPftw8yo2QVSWg6mASqlZ1xORhLpcFswnsr66gTqDLKnHrzRwJomkR6auxK54PvHCglHcy3Oxj57cmvKI8vfe9L+D83/J/Uj8FMekd4DWOrRqrf3Bvr1KE5Txnl+Mwc8Ebs6gHmOMs9jY7XqlEnUDXQnSxKDFFVdU+LFXjamWM6mE1RGNpTRvmng/mhLeKHGXL+/dVX/wr/9K1/SvFI4uCsCTQ3WTl7xaDpYBSMyS/rQzdNBxuEe6Ws18EhOPVO0wJFoU6gWigwdWEJw2+rL2y+vA1uSjilWGM6mE+LeLIWz5nIJoSSf5srQ45wnohEXv2r79sDI++AJD90vLlQlP3FvAcxtiwHmhdO6WANKWRU1LjOHHUCVUaJLeItY5hptYuKAPJMB5P7vCWlg6U0KQoOmlKgBqtCjzQbip2JTWreh2609mieMuhDW4NLpJzxpYSgTqBqoCwMncnmkJDaFi+p6WD5wXeiHxpCX1M6GG0qT3k6MCvn3+wMFYZmSAdjSiPV9x2CRskq41AFveSYAi+Fuh2tLi3iE+kvY4tOTMkNJyeQMeZiY8z1xpivG2Ne3/P3rzHGfMUYc60x5u+NMQ+lf1SFgthpL3I94ogEsO0/JAqgHnIziDgf17swdDHpYO4njHPoCd0MlokER/jc91ZjPJyYd1PjQdoq4zZb1s5JykmV4+8fwHKng7HeLUNyrrulkDHpBDLG7ADwdgA/D+DRAH7FGPPotY9dDeACa+25AD4M4L9TP6gSC93plUQPu27EqJF32pllOliC+hHONYFKSQfzhG4MyZsjsRh1dk/CWROIC33fHhBsZiXaUKwUnA5GXZ4gRxkMwb1WliM5TzxqAvEj+dnqwyUS6EIAX7fWftNaey+ADwL4xe4HrLWfstbetfnHKwGcRfuYSjRFH/lxFIYud1Pcx9IZIEVXG6MLhyPVpYN5RAJSbr5KMs5batNz4/Q7+ThSNLi6Cpo24k/ftzPrjnJFmQtNBwunbtm5pIO1n2SWkXYHE4WLE+hBAL7T+fOhzf82xP8F4G9iHkqhp9WFFJNPUiiztYBhUCq2thNyYT9zKX8h484dxg2Dp2hKSAdrHtcuQ5tZ7735z6IMGtmvmxVrAbNmTG+pn5kFxfQeslOnEoiUWTOuclzLaGh19mQ6mLXZychaELeIL2N1oZaL8z0rXNBcp0wKmzqz6VwFOx0+0zdve1+lMebFAC4A8NSBv78MwGUA8JCHPMTxERUSCCOBagxlLmMpdkfiaWee444zHWwziiMgHaz9c+npYLSbr7JkA0yfDlpr84oSi2BIBjwb+NW5ORc5p92kwmqLeGUUTQeTQJblA6hwSgdLpcE0HUwSLpFAhwA8uPPnswDctP4hY8zPAfh/ATzbWntP34WstX9qrb3AWnvB6aefHvK8SiQxk0+u7T+vUjFmdaNcFwFybQcK0YCRO+48mHszZ8LvUUI62MbE4xrTagn631WCQdO+bjvx3usyqlcdotxTwsx4063L5j92+WlCeQyM9/tZLo2obS6t0W5S1+S3Ls5cZRSzHrffb63acmxO23Qw5bCFUMa6HMqk+8cAsOmivWPnh0KHixPo8wAebow5YIw5AcALAHy8+wFjzE8B+BM0DqAf0D+mEg9lYWh5C5OqE2rknXZKHHeTMNX26OIqo21RP7DZpYO1+MiXvDB0UcbMuLM7u/k3AxwRidyddPS98lJ3vRJgMh0s585Fhs5uKs2Rwf1rchw+JEiuu1N0fdr8mHQCWWuPAXglgL8F8G8A/sJa+2VjzBuNMc/e/NgfAdgH4EPGmGuMMR8fuJySjHInHovBbLc2yjWg6WD5YTzHaDnpYO7PSOlILHEsTnUHK/E3DzHUIp4rHYxD92o6WAjyDkiUcilmbiZoEV+M7Dzx6VDHb+NpOpgkXGoCwVp7BYAr1v7bGzr//nPEz6XMBE1haGmbcQsukyyPTbEihaGNpATaZ+uL+skqusXYpD7umgyaGvVfTe9XcYAgurPmDSqAyZoleTsn6Ta5WUY/D6Kbf4nkOccUKlzSwZQSIC0MXdLC5EZ9S5c850XO4471VN9TRt1nyzUdzBVaB3ZZsgGmI8BKGw/jDBWG5jgE4TnYyCviT1EyQLuDiUDeYTUjDmMw1djrLlL3AAAgAElEQVSyxmpGmCDUCVQZRS4qDPmv3bopShryHLuc48VPPtscPhmng7mOjTlGUI6jMpQ8xgMNqaP4OAzlNoVU8cFGy01rAjm0iEdd+maIUmxOK7lOTcXoHKsbdQJVA10RU4ke9jwdBIIxdOOFEmnjbpIE7YSdawKt6YRs08HgJ1/qFvEl6Z6pNIyFXfA9jFBYIhK5C0PnpleTE+sEqhzHdLA8oYviyzn6WQL1ym76YCyd3aJpgZJQJ5CiuNAWTK1kUZFZGLoe+YdAmQ6WU+SbT2F4iQ5sSUzN97pk168DeXQiVzrY5t1Ur3qgheW5yFVGmg62yrpdwUHda71b1FWS2mQaESYKdQLVAmFEgrjNOGOOab2LihKGPGday1g6WPvf8iDNyVLqdKE50RbxW/S9X10HKmYiisXpEpoOVm46GLExWoKuKXmtzJ0s55hCRk6WvhIB5UJSo4dd4iZ+XuQt2sbkO+445OjdIt4hHaw0A4HUgV1wdUNtET/8W/laxHOQT8SfUhbl2lSU3cFqdxaG0zQNrVR2jo7qNHNQ08EkoU6gyihz8s2vVDRsPj3iItCckP+8uaeD+Uz9OfREmTq1n/zmXwQErcDjbq/pYDKJl5W2iPc7qKiVclaWNOlgyjg1Hugrq6gTqBqI08GEKQ5V97RIrAmUIzZBgW3XDV1R6WAeG2bqFvElzZBlNJm2iB+ExXAuOMosdxqdHp8OVjcThaEz7lpH3QJbdW449fq2Bdfd0ZpAosjJ0lcEIFKpMhjMWUVGkCBvg5vlqQXj4/qOUU0HU9aZmu91ya5fB/KUheaRc33rmhzqmkth5CojTQdbJUVNIImH1Ww4p4OlmWPqBJeDOoFqgTC0vVmYoi9DCF+OaQkLcq7kaBDlEFGVfzpYmpOlHN5tKFoTaIu+95ubHlIooSgMXedcWjKhs5dpilnKiLL+ZhmUvFbmTp5zTKFiZ+oHULigamtq6jRgqvu5umjnhm99j3LSwdyhjSYrTylMdeU5tjhGer+FXcBaC2PMtjFnrcXCLgAAOzZ2kN7Xhb5x0qx/HBGJPAcbWhMoBAtknK4khWJtC+JDiepsbSK6axlnOr4PoWtcu24Of8e1RXwCuWg6mCjUCVQJrY1X2sJrLViUSiu/ahZkYT/TWsB0nBT50IxNzu5groylgy0/I3xzuFi4Oyut3XwPRD9pS6cWxIRs/se//g8851HPwXkPPC/6VvccuwdvufItOHLsCE7adRJ+44m/gV07di3//sNf+TC+fPOXsWE28CsHfwUPP+3h0ff0YSsqLg0s9/XsKKg0UyTm3TR6KL+oViqan20xqmwmapNJZbnGEFHKOLGWzw5qyWFd/uhXP4ovff9LMDD4L4/5Lzjn9HMmv3Pbkdvwjs+/A0cXR/GMA8/Azzz0Z1b+3me4cKeDNfMj//FcEmUe9yrb2XSUxHjE269KXJg2jNl6QGKMKc95NoVldF5M0R132WEaq3D27nWdy/tu6HrTwQxXxEMcK883Mv9j5DN292aOZDgu11gX3bqMTtx14vLfbz1yK8k97zp6F44cO4KTd5+MHx/9Me4+dvfK3x8+chgn7z4ZC7vAbXffRnJPX5ZyMaajh3haxM+J0IPxTAh3AxmjDZIBAMZio0cKZciHIF0wbwEMwvG72jHUItmGadc4C+u8xt1xzx04ujjafP+uw/0famsCDQg85fiyUmZ4qZPME3UCKQXAURh6807CnF/zITMdrB75B+B5etqXDtZiYMSGUMcg0YEtiaH5fsKOE3DeA86bxTF4yp5TAGw31q21W3+X4J0NpcRy6ETr2fEu+n46J7ygGAOSN6dSyFJGhJHppZReSFFeYCq1WQIha1x3PIyNDbd0sATjS9PBRKHpYNVAWRha1sJkGZWKpN9dGzlEpmxHXpe1lr50sL6N+BC33307/ubf/wbHFsfwkJMfgqee/VS3+1qLj1//cdxxzx3Yu2svfulRv4SdG2FL0TJyKUGNDmvkvttY1t97W1fBGDon2rbxt35P2NFURS763m9+ekihI/7dqzN6qjC0/A08B+WMkxJ+Az0ha5zTePDomFzG+FJC0UigWiBso17OwuROik1mSlK09FTiCO2oEpoOduiOQ7j+8PU4dMchXHXTVc73u/vY3bj6e1fj0B2HcN0PriNJL3Idp7QO7PJ0oBmoEdOGcFOe5K5HovWRtkB5//tlSQcjXK9Hb4P0TrbsYHo3pSMtypgOIekuCgD5us13jVuJBBpch1xbxKfpq6o7CzmoE6gySkzx4Fx0a3N+SYK7iB0NMtPqgFWHT/fPgFs6WPv5M/af4WVotZ89Y/8Z2+7riwQDT+K7nQPqqJz1FIG+KLSUEQE1dEjUiIs0SIumZmfCkRZ6oFEapYyTGnRpCCFrXPdzFGOjhPGlhKPpYNVAGQkkT3Ho0kKMkbdo55kO1sDSHczXmFiL7vBNBwttJ7/VdYmgrobntWijGMuLlhuqfdZ1GFI7DPpqUgHN+Fr+nce8v+OeO/BvN/8bLCx+8tSfxP1OvB/dw4JLD2k0gVziT7L13U6l8OcrH8ryBDVG3VNhMugwF7LGOUUCOY5BbRGvqBNIyR+OjgPVhc2Xt8FNQoLUgZgx6pMO1nXA+Bha684jzjkl0YEti/4Z33UYkkUCrUei9UUCDdQLGuPKQ1fiX77zLwCAc+53Dn754C+HPmHzfGv/lUUnGsuiOjTiIoTWQRcnM8mbUynkKSN14G6H357MQbeFrHELu9j6/shvc0sHSzHHeJseKOOoE6gWDN3CJC8igy/HNE+jpAxyTAeTHAbdLfbb/rnFpzvYhtkI0gchG/x1Uuohye82liGHDGU6sUskWUhNoOOL49i9YzdO2XMKjtvjwc/X0vd+c9NDQ5Q4dnNAng3FzIQ92jpAq5YRyhknKRs4SCc0knriU+7XK2B8KeFoTaBqIE4HK8QIdqW2pUviBlfSs0jEN/yZKh3MN0VoW2t6At3kalzSGtXl6cChdLAuZN3B1lL5eruDBURgtiH2sUWlh+7JlQ7GuerUtp5HYSygm9lILIosTwkAhm7m1mhrU5FDvbOQNS7/dLD69lOSUSdQRRTrhdcW8dWQn/zzSqsLSQcL7W5BWRMoJbm82xjmSAdrGXIGWmsH6wWNQdfOPq+5G0N+ejUl8VHVurkfJ4cN/Bh6YLWKdpvtJyQdjLwwdKZzTKFBnUDVQBkJVEaIqhelOtAGkbdo52w4cxiFvjnwselgXWeOV6TGeiQQQTqYV4t48sLQkmZJHKOdukgcK51rdiLJ2nus/31MR7K51ikePaTFM0umJJ0RxFQ6GOOj0KO2tgSyqAkUcLjSTaOObhGfZKJpzSxJqBNIyRrKTkNjuKRJlISmgxHBWBiauztYy7gxMgx1y3Gne6pRPcrYcO2OFQpcdHfI/ZbjOtJhNaQDWfQQYQ2/8dvkHXGRAmtoUvVUD02TpYxIu4OVMjf57clcosl8a+11D9HGC0M73DuFPaTdwUShTqBaIC0MLUexLg11psfJ0igpiPzkLy+iaoyg7mDGMxKoc5LVvU4IXE7g3nsbeY5SKvqicvr+Peoe6+OAOB2Mir4r5aeH+ilv5HKh6WBxjG8Ec9nAK25oOlg/K6ldHod3wFQavn9ktlIn6gSqBqpinnWeppe40RtH3qJtTH4LVorH5U4HC+1uQVITyFMPzZEOVhZ86WDLOxKng9HVLxoqDD2/HrLgLT5c23oeh8oqGqZIN27IDyWszs1Qik0H60YCDaxD1ri2iE8xB8uc+7miTqCKKHPi8Z7G5+aEUFIjN1okujtYx+D1itSYiADJDXlvlp45CkO7dImLiRajKwxd7hvWiIsQKApD13eQ5kMOG/gx6NLBSpmf5evSUHwPV0JrMU5dT6kTdQJVQnOySHMtSaHMzWMwPIuMn8tGyjSbPizxBpQbFikS1PfwSQdrmcpNH8K3K0Yfi4UFYJ06H1JHMUqbI5T0vRPf2gWT95jYGITKdxm1FPmu+4blcgzZRfB1He/OMqq0OkMaapZ6a7ONz+s8JbQQYhdLI4lYrAGsFbNX6cNa+kigZo1aTM6g5nO8WAutCSQMdQIpWcOVazzUNadUpBaGlryg98JaGLqBKh1s8vvYchj51mwB0kQCSXJgS2TKIbP+7zFMdYmznY1iSDpY9PMNrC1MMadsd2rupnPCFUv0blQPTZOfjNrnpau/2Vw1NzmskqImUA6yC3m2xeYBxHRhaLd0MP45pulgklAnUDXEe1/bQ2BJERkczgpjtqSXn1ESgUHYqr0cKESGUNbrResomVfVNjLyjJiYSAe79/i9uOqmq/D33/z7/u+vbeJ97ts8Ld1GfWPiUt05TEdzlEYZHZOKrZ8wUBNohnSwrXvT1iGirl/UjtPua+ZYBcz6TSmv3VnLFV86mxjP97Mld9mb09lpowHW5LeUz6ZocpVR7Nxt16tS0sFW1vyZ18ucluOQtcqpRfzE4ePKnibFHDPI60UVjDqBaoEwIqHG0/T61JXESKB8jUIeVg1Gay2++6Pv4obbbsAPfvwDpyt008GOLo4CAD797U/3fzYwN30qAsQHX4cSaTpYgWNxuflaj8qZoTC0S5e4GMfTfIWh5z89tcyJWrWt50pqyowG0C5YksjDgRaTDjZ8Ubf1I8k41XQwUexM/QAKHyUuumBedEvc+OVCjuM3ZVrd4SOH8Sdf+JPl/X/ryb+Fvbv2bj1bZDpYy+iJ1AghnZ8kkuO4DIH6d07V/AkdF8uoJWNgFxQOxnKpLc2ZBILOVlmmNjOSewQMla7MIaXJjfJ1aQghKfUrkUAE4yLXOabQoJFA1UB38iIpHYyLWjZ6S4y8SCBAF6wx1jd09xy7BwDw0JMfCgu7jOxpcekONkY3asi3ZgtAFAnUftfxEqRRjKY8w3bIKUDdkaR7zaHaULHpYHPBEpFoeGsCKT7Ev5vq3+xENECu8iFPlc3cGZaSHFIKQ9Yqlxbxrvu9ZC3iHRp5KDyoE0jJGrZIi4E0idKRpKqzTAdjdBSsZ3y2stp3wr7mzw5jt+vYmfxsoDNnjq5aPulgij9zpIO1DHWJC61DRFe/qH+cco0hjpryQ+l/yvxkt5YR49N8IB/KOxigIEVEdA5rfcha5RoJ5JoOlmKOyX8z9aDpYLVgLFk1S1k1gTQdbA4k/s4cFvXt8Bs/3ZpAgFvh3e7nAUcDPbSF90QESMi15v7O0JWAXMflOFQOGZd7jI2DGMcTXWHo7cy//vHoX00HC0DTwQgY/+0aAdOg6WAEd04whqy1eOdV78StR27Frh278F/P/684/aTTez/rXRjaJRLI4wSBWz6WsWOuMo1GAlUC5SKi6WA1IHODW7tROMb6hm7d2bJObDpYS6gzZygCxIctR5TjPSPvt3LvAnVgn1Ngrjk3dTo8dt8jR4/gq7d8FV+95au44547tn3PmHiH1dB3udLBpOlepUN5U5+XQovDUke8qDMsnJQOtOP2OL7/4+/jPrvvg7uO3oVbj9za+7nuQVpIJNDY30tMB5sjClyJQyOBKqLEiccdZqqLcTqyTAcTcALmY0iGpIOtOHMcfqhLBEhOlKdV+5krHWwonXAs+ugfv/WPuPLQlQCAR5z2CLzwsS/c/r3YukBC66LNga5rPtBEl+Wu9+Yk3wgYTQfrI2WDjBS0+vSM/Wfg8JHDw5+Dv7M/tBbj2DMo9aJOoGqgO3mRlQ7GQx1L1xY1dMYplfW56VJ4t+97rvcZbVXa9z1Cg/D7P/6e17VooxjLM2yXm6/OWOi+rznSwVzSFdfH5tHjR3HirhNx8u6TcfT40d7vrf8OKnhSeSxU+0ol/t2UpDPCmNr81i6fBk3XDCdlFNW6jTP0/kJq7d1w+w0AGrvr+OJ4792be0/DHgmk+wpxaDqYkjW+6SChtNXsa1uMJRmrWdZRYIwmWL/HVOHmsXQwn6KdvobqtkigiHf63TtvAgCcdu8+p8/LGc0yGeva0XUYUuA61vr+3sJih9mBE3ac0F9LiMBhNWSwco0hlsLQuslMRnZrGTEu8yg3GVGnu5SyXnHZ6V1Sys7HxvFdq1rHz9Da173uFKkO9CXtK2pHnUC1QNhyVlaesqaDzYO835lzCD3nkresCTQRadH73Z50sB1mx+h3Qp05Ps81eh27gVOPujmBKO7XvRJQjqHeZawmEFlNpQlDuRsq7xMl1E1TpCkM3e+EmhcePdcX+aVMQFIYOt+1jIQJD2cO7b3HoF4T8p+f6aJmU46hqZT30LXqwfd58GBhaN/fyymfXOdzyagTqBroJl+++dqKKxq2SQXfHFlv9zxZQNAxHWzs+4C/Mye0tfzYtVyhjCYrWf9xpIO1hKSDjdUL6haGjqP/d7JEJBIe2ii0WE3VI6DMwuf0a4JG6oUiIh1swrbqpi57X3tw/shNByv54CxX1AlUEWOh/rnC7azQxTgdOaaDpSyIOFUYeigdbP1Zh4yU0N9GGTJvrQUS67USNzNdus4+ysLQPumKIQ6i7j1CnxAo22DVdLA05LiWcSIr2twHTQfro7ZDRdfmF2Nr3Ni1l2sfgd7Ob44plGhh6FogLDCwskBXotVL3+htJ53zYgg5TyKV/g2dTxeuvpOpqRbevkV4t23+IwwZ31P5Jg2DCFOeYTvmFOg6DF35zLc/gxtuuwH33Xtf/KeH/6eVseXqDOxzQk4Zz3N1MgN4Unma36fIhCYdrGomUuqql88aulH3J2XGglebds+1auWQYyQdzO3eTrcko7YucTmgkUCVUOoaQl2Ib+Jm1SzGjX9PzkbEWgA2vxPrZsFmlGNPGs9gpIVjOthYuPJ6JJEPFB2cfCKBmjFtyJRhO0eKY6DGztCfx7jqpqvwjdu+gatuugr3Hr+39zpT3evaf19nqFB1d02I0ReLnrVlOYbmxjIVhramqnWNhjh93oo6t7WMivb3j+nOXGW02DRUqDREKZF6dimXOkpDuxaGDlmruunOfd/Zml/TGGabuo0bkLKvUNQJVA8ExQyBVTUuYWHSdLCZ4NiBeJKqkwEFnMbPsibQVAtu13SwoUgghLWYdw2VngttET/NSk2giHSwhV30/nuXofEzlQ7W9+8r35vhmLPd3vHUBOKBKq1AcUfTwcZ/e77pYA2aDtZPit+Tcgy5poP50q5v/b/N7/fyyifP+Vwy6gSqhk3zNcIwbr8qdoGeKbbRGCSvO8KPnA0ud8gqLTxzxJjtp4ZThaH76E0HG6oJZFedSM73IBxbKzpoLGJpqbso9ZYw/RfBUj52u8MwpjB0V9brTqAxZ+CU48mlXtD6/f2xW6eWxqyOodnf/byn5nnr1LTYiAM1YyjjRDJmQIb5y4dGL6zPT3G2tiecTuZ2DKXsMOdaGLr9jG86GDAcPbRiXw0o+vW9HBesmRtT6CIIQJ1ASuZw55jmvhjnzBydiWYnYd2YycLQrulgI5FAY3+eei6y7mDJC0PXwVD61Rh9zqT1P0/WBOr5+7HC0O13YvVFLfULNColhPiaQNmtZYxIijb3gToyvZR0MEmHihw4F4a2w4cZY9cOWYsHr5f92FJiUCdQNdBN9FwX6BjqWLq2kNjNYTnudMPSy5CzZ7Dmims62GiEjX862Pp1ozbq1u9UntKRWLL+G0238kwHa8ffZCTQQFv67p+7fz8YCdQ5hZ2nMPT8TpMm2oQHSTo+D8qd92wQlScoHZVQOCkzFlyjsEPWqqnC0PCw3dkjgVR3ikOdQBVR5qLL46wo50TGjzLHDCe8J2Ar3Zc8QpKX3+mk0jzr4c8CAOzc6G8iuZ4O5nySheHNvy++kUBzvIWS5khv1E1kOlg7fiZrAnmkg3X/ru+ebeHMOPrXFr63zVhHrLJ1LQ6L+Eig2qOvxp2cYksOTLA1j2jnbm5yWCfFoWLKVXkqCrv7Od+1aqowdItTd7CRZ5uTkmym3FEnUC0QnrxIXKBVqVAj5922UESO1MCyJtBESPJUOtiFD7oQ5z/w/NH7BKUIkeeFh90/nlUnW0n4OmTGrrPD7ADQEwnk4AyMKQy9/jso4agJxIU6JPjRdLAJEtZzoUDTwfpJYaenrAnk0vwi5B1TFobmRfKz1Yk6gaqhzHQwtmdojZJKjGVNB6OC11HQ3dBNhSS7pIONbRBD04R8DKTJa3m0iAeI60oJ7KAXy9Qc8zXiF3aBHRs7eq855gzsvqPeaJ+RdLD2O/HpYP3Px+M0scsi3YowNJUpnmJlSKsXSpFRir2ChMPqqSjs7kGaVzrYWIt4z3Qw1hbx7bOVZzplizqBaqLIicfrrJDg+FIyIqGx6xqSvP6d9U331ClW6GklRQen5POxgo36VH2e0e9aj0iggeij7p+7fz/YOawz7mkKQ5dNlgX3k+LneO5Do6/GkbCBD2GuYvK5yWE7dejSFpfC0N136lsYGqA7WMx/bCkxqBOoFghdr7ku0DGUciLjDm8tGxdKC42eg740g9B0MGC8YOF6OpjzSZZj5wyna8GvPgdlDnyJ47BvjkWng230O4GW9+wZP1N1iKYKQ7fh8nPAksrDWRhajopXqiHvRvBcSIq6z42UsnMpDL2yxnkoYffC0G41gTippeNmTvRX/FSKpMSJR19fpJ/QVKSjx4/ilrtuAQCcduJpOGHHCcRPVg85jl9fJ0UsXRlNFYZ2TgcbMKLWC0O7QmkINOlg7p/vGk8UToIcx+QoPbKMKQy9sIvhSCAHZ2BwYegNioOK4XQwHhgLQxd8oHP4rsO49/i9hOtvfHRn9TWBJiJkc3V+UKe7lLK+pNj8p5SdTxR2yCGaW2HoaYxJEwVaxqguA3UCVQPdZlTiAi1VqXzia5/Al77/JQDAwfsfxCWPviTxE7nCW8vGh5I3LBQsawIFRNysO0emIoHG/jz1fGTdwZLNfj8HVE4M1gQKKALedgf71g+/hTP2n7H1dyMbg/VQ+bG/9ykoTQVHTSAuSk4H+487/gN/9sU/AwA85vTH4PmPeX78RU28ztF0sHGyjTaf6VAyOzkMkGKlltAifiwdLGStGisMLVuXS362OlEnUDWUmQ7GpfBCU5GOHDuCU/eeCgODI0ePzPFos+DbepsDic7HaSxrEbyuMTFZGNolHWzqtKnz/XuO3YNP3fApHF0cxb4T9uFJZz1p1GlA1u0toEX8esRT4I0jvy+PqXSw7p+nsLaJLHvQfR6E79753W3jcMwZOFWHaCodrH1einpT66OEJ4pD02UoOHKsWXMNzPLfFQno+HYhT5unj3TPn1J2Y2vmevMDqsLQvulgnPs4rswNxR11AlVEmdOOV6n4KkxrLfbu3IsNs1HAQq6EIbMwtFM62Fgk0Fo62A2334B//NY/YsNsYGEXeMzpj8HJe07e/r31U7KYjbpN22WmBmNmPR1sgf7aPkPfayOBpqKLfOoQTRWGbo3kOOowWEuOSmlTEHdu7MTxxXGiq2o62Nzk6vygLiZfiu6prRaMT2Fo37VqaXdRFYbObI4ptKgTqBZIC0M3VKU8An9qSAtIGchr4SopAs0Z5l6YxmyXT1Q62MgYWC8M3W64nnDmE/C5//jc4P0oT4O8O5J1x1Dk7UvUf2O1z5Z6bBGY9jcQsTPlDAwtDN13zyGOHD2C/3X1/8Ldx+7GCTtOwK+d/2uDn2Vxmhi+SExZWp6W9j3t3Ng5WJg8jJKlxkCxLeLnISubRwjGprMXfQ66fNeqrkNtLMLIqSYQ8xyspeNmTmh3sIoocdHlUiqh6WBU7YqTIOxx83Q+8hq7XoWhXbuDTThzWtpN1pTh45Iv70pTGNo/HYyOsnTqVP0dH9rxMFUYuveeDifHQ4Whu3/n+uy33307br7rZuzdtReHjxzGrUduHU0H44BzZOWlU93pRgKROYEIHPslR1+5MZ4OluWBDwDq6ME8bZ7tbOl6PlKuzC4HXcHpYJ2DuvHC0C7pYGn0UIl70VxRJ1A1WJJNfXOALm+BlqpUuu2KJclrityNDimkeOXLmkAOkRhT6WDd6/TR/f42J9DEGPKtMdNHaGFomvHNF63BzUpq1lo6mO+J5ZBTcJuT0jMdrO/fV74b8KwPu+/Deq859Pn54FMcJTskuimJxy1NOhhFMXpNB5vAtv/IS0bkh5J5/fxJUtjpKcaQV2Foh05f69ce3VMwR5/7IfnZ6kSdQJVAqQglnU40+bHz0+rVkJpANPUpeEnbdWk7Up2PkxjGwtB2dUMXkofflw42GAmE/nSwyUiggK5lo8/r+PVmRNONIQn6j5q+EPoph8wQ7ed2bDSRQEPyGhsvUylfo3/nUTOhb0w21111itrlHKNMLep5HqYIwvJG8CrLaLSNHXSRQJFCszb+GjmzsAtg763T4zundX6TuR45K5unhyTPnzAdrMXloCukvs+Y46jdE01dsc2I57RjFgkiwpRx1AlUEaIdxIFw55iGKMyl175myy8Wk5sbrUvawtCDkRiu6WCOhaFdnTv0RSJTFoauB99IoGOLYwCAu4/dDWA8Ygfojz4C+segS2HovnsO0R+1VIPB6vdOc2OWmkDGLp2lwZdA/hv7UI7gNgBuqSz5yYg6HSysDIE0aqsF41QYej0S1icdjDC7IL85plCiTqBaMBaxxeTb7+e7QIdhDGADp8pKO8es5LV5Eh0yaJYDhcgQWrtMXgbR5nELkSyGaMZo/4YuJh1sKhKoS3AkUGR3MGBavFvy2fwewRhaXmPmd8tB+xOs2e6wDpVV+71T9pzSe511x8vK39lVA7nv2mNOKV+HVcv6s3Rvv7X+cax9m5GYM42t9d+V19rkTrcu1S133UJ01U60pPcJPtEjZIzFAjDAIzfuv00gpchnI3LNb9erImGwhYC0GQsuhaG7/y0kdXnI0Wg3bc7xenpb9iInK46vUiZ75qgTqCrKm3RcrSeXC0pIOlimkUDSYm/ydD7Gnxr70L1T6EnTSjrYxGnTSlDRAIQAACAASURBVCTRuuEzMd5dihtOYWHhVxia9l1ImyMUDNWE8k0HW3cKDkVi9I1PlzpEQ4Whu+PeN3VtezrYdnlwvfPyRhY/7Ts8tjiGvTv3Jn6aLUqOvppmOipEUskBH6ifN9TulAePnd4l5drsUxjaN6rHvTD0NKlqk+naJgd1AlUDXY0BiQu0VKXSRgIBeS3kkt5ti9R3LI1lTaCpwtA96WDrY3Q0EmgtHSy4O1h0JJD/yKCZi2H3zgFfh8zYNcbSEVf+fsTR41sY2rcOm++YnF0/MuZul+yQaHXSaSeeRlcYmqQ7WL24HNzl6lynPpQsJR2sJcVbFdEifsxZE7BWjTuOJI8Vyc9WJ+oEqga6yScrIoPnGUIX4+5GOa+F3IrV11nJ0fA6CroRZy5hw5PpYCMhu5OFoUecR2PP5YP1HKe0DuyMxqEHQ6eDYy3Z+5hyHo2Nz/VQ+b5rTxWG7t5j8ll7HVL9EQtc6WCcEYSl0r6nXRu7cHxB4wSiOlCTYT+lYDoSaPnJamVUFimjTZKkg62lM4+lg4XsLUYLQ3s4IrnLVCx/s65tYlAnUEWUXRiaR6l4p4NhuICp4ocs56M7qZa70No727qDTdT2aWmdQFORb75pY9MkNCjyGopBjEXhuHzPGIMNszEdCTQQfdT9c/e7Y3rVu5NZTyQQ99qSivzq1bnT6qRdO3bhuD0u5nfmdyhEh1sk0Opn88HdweWCpoPljUthaMA/dZm0MHR2c0yhRJ1AtUDoAcp3gQ4ndPHKOhKosgV7Drjfed+GLiYdrP3ekLGxEknk2B1s+V2CNElrLUJqApEYTyV61bF9DAWng3UcK8aY6ZpAnetO1SEajQTqnLDGRQL1w+GM5hxb+a1N7qw799qOdbFX9dE5yjq0jhKJaDpYelIeGvoUhh6L6hm6drueHrfHcduR27Z9AnCtCZSoMDTrXZUx1AlUFSVOPT6lElLcWSOB6MjTIGJOB1u583hI8uzpYK7dwSLep+93qd9E6Sebdx29C187/DUA4YWhp9LBxsbLmKNn0kEUkLq2rUV8ws1+6WOLgyNHjwDYGltUdYFi3w1PSqFMfGoC5SajvGwTPmrb/E+lM3fxXqs2r33/k+4PALjjnjsGrztFzXpIadiZ+gEULugaTspcoGUuL7lGAlnIq0lRTmj0vCxrAgU6W9bTwdrvrhsVk4WhB+5HmWbT91yu34unzIiArrP7s9/5LD797U8DAE7adZKXrCejeUZqQ62Hyvc+Z2fsrV/XN8psWw2H0UigrWecz1HDGQlUrk49ujgKADhlzykAiH4nSWHo8vSGOw4OgUyHI7WzozSbJ8W4T1ITaM3GGa3d47tWba47rU7bHmEreazUmRYoGXUC1UKh6WCczxBSOyHfSKCcnlUwhrtF/NY4mywM7dIdrGugrF0mJLKj+9/JuoPNlA523Q+uw9XfvRoAcM7p5+CCMy9Yv7vzfXOiO4aOLo7ihB0n4PILL8f+3ftx5aErvcLW2+ttmI3p8dL5+6nCmiuf7XmemNS19n52IIpvZQzNNrXpDm1qZofZAQA4YccJAPo2TCHQRHdKsJ9S4HMIUKuMWvKMft5OksLQNmE62MQBSPczgH9Kbrej2HDDBYfrMB9O1xYRlgPqBKqK8qbe1mky0/08FWZIfQqln1IMIi4mW3TDIR1sQuZj6WBTuERdTDG0Uafg2u9fi2//8NvYsbEDR44d6XEClahRV7HWYsNsYP/u/QD8C1gCmzWB4FATaKQO0QKr351KB1u/7lS4/VB3MGnRkHNBUytHHhbN+G3fK40TKJ6So6+mmbbZZEabO7B83jr0hjt1bv7HDiNW1rjAwtDtn2PIbo4ppGhNoGqgjATKdIGOJDTtxDfnVwLWyEt1kfU0rvDOkT6Dw9fZspIONtHilCIdLFqPeEUCrT7D6GWtxf1Puj8ecvJDBp6xTP1n0Ekp3NxEb/2duzO72y1uLB1saryEFIbunpS64BrFBjBFwjLq3wUsvnzzl1nuxc3CLpaFyds/R2PmczzXQA1d98ouvZAHKTMWugcRUw6ekLVqLBLIJ+WKewbWMPdzQ51AFVHmqeamUmH4bSGnd90NiS7kNOQlxznrhmynrzD0YCSQSzqYQ05793pj91v/HIVj1HcshBpbw4ZkiTp1i9bR1xJSbHmqMPRQXZ/2fmN1f8YcROv3GX3WHodU6ohDrpH1gJ0nM92Jn4VdLNMR2z/HE6/T644Mnt4ISio54AP18+Yqh3VSbP5TOhpcUr3Wa+I5py5PpEr7ENLsRikLdQJVgjWUhaE3rylIeUjdinUjgSTJaxpe54ULmg7mxrIm0ESkRXR3sDUnUkgkUOxmKPS7LoZTdwPZGwkFedFyFKzXlVofAyHFlvtkOOY0dCmsOVQYur2nj5HsFwnEcTrPp+MetOu05o5ZOdfdaCOBKDoRUlKe1nDHpS6INNvDHb5DScWNlC3ix7IA1psf+BaGpqgJxI/kZ6sTdQJVQ5npYKyFoQMdOXlGAllx2S5ZLhzMqQPdMRp6+tbXHeyD130Qdx29a/tnO8ZItyU44KYfYgum+xeG3vyeY3TIMtqk9/PCJggRXcdc6wjr+7sp1h0rtx65tf9+PemKk53Fup8diEjzcRoP1QTqG1s8hyB8eqNk5/q6E4giEmhxwu0gKQydlT1Aifu6VK+MGiTZ2nHwP3/SdDCHaJ31aFefSKDxQw6/dDDOsTXWEVRJgzqBasECNIZL9CVIYVMqFkBPuszk12yekUCzNr4JoBH7aoRLDlgLGM7n7UZTTBWGdkgH+4n7/gTOus9Z+OZt38TNP7559fsIjAQKNH6GrzXPSO2euPVtHnnde0x05hmwNUZafJx2XafgnffeuSwuvXUrt+ib0bo/Y/WCAlLXVrqD2XTRkBY8esNiywjMSa+6sqwJtOaojsEc3YejGz+Ku0bF6WBL/T823mz7j7xktLBNxD211shNDutsyaW4FXMUl2jnkJqh3RTX7Wuj2zXapZ63O9jW/ysyUCdQLRTaIp6T4MLQuUYCCVuw8zyxZo4E6hlnQ4WhXdLBHrDvAfi5n/g5ANs3UEPRGZM1gQIjlAavNVOL+LYz1rDjI6dx6M62dLC1SCBXus6+U/eeOjh+emv+TITTuxSGXr+Py7O6pA1xpYNxbZgoHSTSaOcwdXew3cfLraM0N2UXhy35t+VFyigql8LQfV0sXa+9Uhh63Q4z7ilX7IWhrfuzKTxoi/iK2IABIoqxGtOYppLY2ngi6reN0b2srwOie5qcl/NiNnF6I+U5QtlgmDN9MvKpc7J6rdWLDW2g1p1IQZFAkelgQMfgHhkoIWPIpTB0Kcb+kHz62qv7poMtIyE9CjhPhdP3RbGtpzF6pYP1RQJ1HbjGiFz/Qum+0lzXJxcWdrGsSQUAR48fjb+oWcAEnp8aA7QJlnkdClEyHC3TzrFy0qDCaOdnOXLY1K8MdwrR01+/9eu46Uc3wcDg3Aeci5P3xDl5fQpDj31m6Nrdw5E+x/by1w8s7Ct7muzHViC5byyIUCdQNVBGAslbmDg2YyHdjLopM5LkNUUTYZH6KVaROO4mIYzAc7pdx5iYqo3ikg4GjDt1+nLTfZxONOlg7njXBBpwYLRXKdGMWBlD65FAPgUsO+Nhw2w4j5/1ZxkaI11Hz8p9A05Y/SKBMPmZaAxnJFBDVnrVkTYd7Lg9DgC45/g90ddcnxMhlOI8DsEpEijToUhdlLe0qHvOce8ju7++/q/xw3t+CAA4ujiKZxx4RtS9XQpDbz2n3/5gummCezQavx7SSDlpaDpYLRSbDsb3DCEpXcuNZORmlx+J6WANOcmR+1m7xsRUbRSXdDBgJBLIBkYCTUSI+DBnOlg3iqD3JC+jceiDMVvyadNpln/noceWNYFMf12lMSflVOeUoY4o7XWHWssPsW5Yf+Jrn8DNO77Uu2zypYPxIK1zFiW33X0bDAz2nbAPANXmg2ZtLFHebrg7SnKVkW5yV0nxHn309L3H78UTznwCdm3swvHF8eh7OxWG7hxW+KZZuxWGnoZ7XyK7c1mdaCRQRXAvTNZa3HzXzTi+OI4Td50YHWLZew9mpfL/t3evMXKd933Hv8/M7MzeuCSXFEVKvC1JXcwGgSgTjmwVjW0VtuQalhM4qIsAUZu0AVIUaB3UrV2hTlq0aJy0cSzXqV3YqeMgoRMplq2LLYWwbPkSSjatC8mVRHF53Rv3ft/Zy+w8fTHnLM8O53ZmzszOmfl9gMHOnPvMPuc5z3nO/3ke383BQhoJJOFXTt8o4K85mNdNlUD5+gTKKiBVYjM7hs4s1NjFGTf/cvn5n3k7hvbmf5PJSZZTy4wvjue9JmV3Hp5r/k0FYeM5Zs865YwOBtCVPsDSQBcwUnT9MHN/qbD2CWStZXxxnFQ6RVtLG9tat63P62jpYGR+pMBT8zKYdMVDgHujr4LIB8MkO1Ivl1BG/RJ8ZUdYfwfXWnqNscUxZtLDQP3e/CdTSeLROMYUuNaXodAD4HJGsczert/1cglr2pJgqBKoadS+OdiZkTM8+daTQKZw/cn3fJK2lrbAjqPWyrmAhTUSyGIrLugGLZwFotqOMGTIiqIoUFjw2xwsZyRQOaODeSOBKjwv/DZb9N0crGAFbpjSYem8/5PsIeKh9PPv8vRlAOLROBETIW3TjC6M8qc/+9ON+8vxRLNYyHuuKLbsbfpqDsbNlUBHUr/CyuBp4OTGbWetUx21i8QMZ756w9sTb3Pi3In1z5+47xPrD5xS6RQ72ncE2zG0qb8o2XBp5CYhag7m9aNrP+IHV37AlQC64vLNun8K/3Zuvrdm19avU5Xv2vMQo0jH0O5ypTZb9j5Y9h7/TfsuIRXWvjGYe6yNeO6Hk5qDNZFan3aLq4sAHNt9jLRNB9IeP1utR5rw3RxMkUCBCe1lY5Mq00opLFTSHAxyVzL5ufkO5ryoXiSQO7x0o3cMnU+uDpdLvSFpibQAsKtj1/p67jXh3j33blg2b78/+YaBLxASX84T1lyRQI3+v3UFGiWzCbLT1FJqaX3eml0jaqK+R+ApLIA+gfKM2NgMSoneDnvlh2TMr8yTiCbWP9djnur2F+Z9WFEpP50+Fxt8Iuc6QUYC6RxraqoEahLW+Os7o5BSL9BuZnrblts2fK6GWlxayrmAZfebEho17tDYj1BdtDajY2hPfy7uNCj/dys4OlhWJFAphZPspj6VRwJVp0+goh1DN2hEwIY0lHXD66fSzu2U11uR46ahPZ17Nu4za7ulFKLz5avF+sLKJVckUL4RoGoSOWNszbKOSKAVJLWXnaa8+VQqnSIWiQUcCVT+6GDrm6j8KEKs+IO70JWXHEE/lAx7lN5aeo1EzFsJVDul/nZunpCIJvL2/+dXKR1De8tnpV6rsiOMvNvxLpXZbnG1P8/UJ1C9UXOwplH75mBuhhWLxEpavjy1uziWc8PqzbRDVXnh8+a6FsJZIKrtCFLeNFq0Y+g8zcGyl3d/97nluZzru9yOlIs9dQ+yoFzV0cHcSq485324zufSbUhDOSKBSuVGUgHrT1jdArd7Tci33WKF6FI6hvZ+LnqsOSOB8lUC5T6GYNVydLBwR6VkpylvRc/Ywhi3bbkt4O8YXOWvty+rZuGnH8dwXetvCK45WKaBd1i5kXibodR8OnsUyyAjgUrtGDrfMvm2C4WbSnvnF2JK3G8xJ86eYGhuCGMM7zv4Po7tOZZzufVjq7N7i2amSKAmUutaXzczjUaiGz4Hqe6bg3lGqglrgaZe6LLhT7Gb4VKbg7nnr/eJXq71y4oECmJ0sCqlDPf7REwk7zHWccBcIHKlBz+jg7mVKm7FUvY1Id92ixWii42QUm64vLcSqFlyHPdbhrVj6ELljPaWdpZSS4FFAllrscZibKWRQOGueKtMKZFA7pJh+32qc7zh+x0y5pbnNlT412OEV7FRLMtRSr+H2RU6q+lVrkxfIbmaLGm7xQbg8Huslbg4dZH2lnaSq0n6Z/sr3p7UjiqBmkaQkUDuFksLs8z1hC6MyhnFwxuNEaYLea6bv3oRpt8xyKfGpch+shNE23H3SV7OPoGybsT9dshbcXMw668Dc9/NwZzvkzvvClM6LJ03Dd00RLzP5mDu7+2u5657UyRQnu3mK0QX6hi6rCes5IoEyp2uahGRaGtYuxjOCMsbCpUz0jbNjvYdgfUJpI5NK+cnEihsgm8O5mw3pOfmRHKClbWVTdm33+ZgQUYCrR9DCQ+6DIZELMHi6iJfe+1rfPv8t0veLuQql9W+OVjaprlzx520t7QX/P1uNIGTeqHmYE2k1iee90m6+zl4tc1UfDcHUyRQYMJ+s1JrxW6GS20OVnB0sAKRQEWPi+IFpGKqGQnkrWjIf943dnHGbeLn8lNp540EipgIq+nVgs3BclXkQO4KomIdQ+cbWj6fXM3BmkXYo1Juanbu+R5uGgwyEggqv3kK+819ZUqJBNK1PqO05mCvXX+N/plMBMYv7PoFerb3VPm4ShOPxulKdAEzQH1eLatRCVRKn3be8tn7e97P3Tvv5rm+5wpHAnn7EQoo3664Ytzp6y8aiRKNRFlLr1W0PaktVQI1iwA7MS25TyDnKXJ1K4E2HlM1lbuHMEYC1TqCpWEZf5EqFe/O3NyfS6G247mag0WyAkTzNefMuT3vjXkJzcEC4SsSyFmlhHPRzb8KDhHfgG3bN6ShCiICCzYHK9JPRClpJF+FY/Yxl9r/E5RWCVSzPoFqlLYapWPoXBGLaZvOjA4W1A1TQJEe9RplWwulRgIFdn2ooWpFOhRLty9cfoHkapI1u8b8ynzdVAKtpdfojHeuf65lDuO3xYJ7rxJEPuinY2jIVJYd3HaQznhnac3BSuoYuoQ+gQJIqP4q0WrbfYcUV1IlkDHmQeDzQBT4irX2D7LmJ4CvA+8EJoB/aq29EuyhSmWCz36TqfyZFdx4irzedrUKx1DLgms50TwbOpcNUSE7M+rSZh/FRuHsJ6C2x+pNZ+WMkpSLe/5mP+HJjsa4qU8gazlx9gSXpy8DcP+++/nlg7+84SY9iOZgfvhqDuY9dws8yWs0G9JQdsfQPiK3vE3JskcHK9YcrFifCsU++22W6CcSqDZRCrXrUN4byRdGhZqDrdm1QB9E3Vg/oI6hGzQPKaz0G8Gw/j61bg6WSqe4Z/c9DM0NrQ95Xg/cSthW0wWM1fT/WfLD6qz0OJmcrHjfvjqG9qSVqIkW/P/56xi6uErLX+CvEqiRm4KGVdESjzEmCnwReAg4CvwzY8zRrMV+C5iy1h4BPgd8NugDlcoF1c1A1HMDV0jQodi51DpTKas5WCgjgeqPQsT9KdoxdIXNwWBjNMZNo4NhuTZzjR1tO4hH4wzODd68fiDNwapjw7mbr2Poqu29PmRH1VTSHCxt0+vrZncMXWi75TQHc7fpfodi/EQCNZpwVq7fUKhjaDcNBtYnkJu2KozSauZrWcmRQCF7cJYR7PGWWpm0ll4jGokSi8RIpVOBHkMl3EpYd6TFdB3mMd5KjOW1ZTriHRVvs5SOoV3e8lY0Er1pFNa82w04TytXNftUkuorpcTzLqDPWnvJWrsCfAN4OGuZh4E/d94/ATxgwhjL2cgC7GiynRaAohebWlQC1VI5T3fcaAIIW4GvfjuGDhNravs7ZnoQ2Pi0qFhzMHe5fKOD5YsUuKn5V44b9VQ6xaHth+hu62Z1bXV9urtOpb+Ntf6aZPm54fVGMubMuxp0aDBvGqokEsjbn1B2c7CikUDeEeTyRALlS9vlRMD5aaJYk0qTAJtvF91VyCsk3AjEfM3BqhMJ1HyVhcFp3CYh1XooWSyvSaVTxCKxuuuTxa2cupFP1045zcG85ZRAjqFAx9C5+hdLpVMspZZK227ehxw+moMFkFLdyKWoiRaPZGrgcz+sSmkOdjvgHfNtAPilfMtYa1PGmBlgBzAexEHWs0cegaUlaF/5Y9IMbPbh5HUkPUzrSkvF25mchGe+FeHlvgu88bXHaFvNX2s+m5giFVll4fp3+OntvZxP/hHxtUTe5csxupjkIMMY7gh0u9n6+uDlp0d48blv8eTSD0teb6RzgMGpFQyGi9vf4JHP/24VjzI4ywvjdK8lgQralqeDq/QbGIBnv7nCqbMXeTv5B7QEnI6qZU9ynC1tS8Dhqu/r7Fl4++kJJr73PCeTrzjnX4rIJ5/g1OFezq0M8NWVb60vP9YxxFtzY/SNLXHqcC9nVq6xHFti61I348OtG7b98qE3OZPq52vLT69Pm2gfYdvSTi6OJzm1v5eIjRC1MdL93+bUgV7eWB5mJjHJ4NQKM4lJZhNTvJB8nbnEDMnYPJ/79OO8eOA1XuR1vrn0YlnfebRtmKPsAHaWtPxzz8FLF89z4cv/nVi6cH441jHEm3OjxNdac567kbkxutMrwMGyjr0evfYa/LRjjIXnn+bppb9nsm2ULStbmRrK5PNvd5/h8vbzPPInxfOxmdYJjI1grz3Oq7t/ykTbCC+svspMYpLo7z3Lqf29AHzuPz3Oj3vO8vLaeb6xfBKAlegSk21jpAefZXDLZYa3XOP1P7yxz5HOQa5NL9K+2knvLb38zmOPErGZSoDrnf2MTUJbqoOzu3rp+8JniKYLF3UW4nPMxaf5wqNPcupQ5rju/t7j/IP0xiLMYhJOnoRTF9+k74u/RzRduG+jcu1fGKAl1l6VbXv9/U9gdWCYUz0XufCF/1b0nKhHc4kZFlvm4fef4dS+Xt5c+jytqTYgc/3tn0ry6swopw720rs8RPvqibL3ZU2aA/ODHE4D+8vbxvQ0fP/v1jh1vpd/9dinatpnXD0YnFvgHUxilu7Ku8xLL8HPW67z2tN/xdeXn63h0VXGLY/CkUC2993Hk5w6f4E3l67TmsqfH1zv7Gd4KsVsYprp1nF+uNgbyP4rNdI5yKXpWSbXhtjLBJa7a7bvn/wETq8O8MbffrngfUoqssp4+3WS17sY7LrCdOsEP1g8W9G+ky0LzCQm+eJ/fpLTt71KKpLimaVTG5ZZiS4z2TZKaug77EjuAuD8jje4vC3/9dWaNCMdg0yPx/nR7GVOHerl3MogX155Yn2ZwaklDsdHKJZB9V+Dhe8ucuaVV3jjf5V/X5I2a4x2DDEzlmBoyzUWW+Y5mXwl57ITySUOM0xdlZkS4biXqJZSKoFyXaGyqx5LWQZjzG8Dvw2wf3+ZV9A6c+4cLC5Cz47rRFr7i6+wSfbH4NjuA3Ck/IvTAw/AWz/ezaWRA7RtHWKxZZJFCrSfnYOt890wkKTVxpiLjpa973yiwNHWDm7tOQg7S7sR9OujH4XLzx6l5doQ813jTLBQ8rqxWUNiIPNgN77PMGHqN414bQfu2b4b7i7jon3wIFy6BAGd4w8+CC9e7GF08DytbcPMViEdVcueFnhn9x64K3+BNwi/+qtw5Ud3Ya5eIb1jiAn6M+ffXDcLV0fZGulksXWGJWeUDoDIrKF1OMr85Ahb2cJC+ywA7WNx5kdGNmx/K1uYb59hgtkbE+egY7SFtfF52k2c1dgKXfMdrFydpsO0stgySdwaWq8ZUm0JZnYt3ziuxS7mL42wJdXOlM9zyis6B0ejndxyz+3Q3Z13ufvvhxfvvJ3rwz3E2yeYiVwvum3392lJ5T53dwLHuveUd47UmUQCPvxhuPDqO4hdHSC1bZQJFmEO2scTzF/PpIfEhCG2l9LysTnontnFfP8I7XMtTN66yiKTdKy2svb2PFvS7SRWWpm/OkJXuoPZzikmmF9fvXUihr2wSFtXjMie9IZ9xmYNiUFDbGWN+GqEKTO0Pi8+a4hfg2gqRWI1ynRkuKTfYMtyO8mL42xjC7G1FnamR9j/i8Cdd0IsxnvfC73P7mN8qIdEYobpyFCxTZZtP4Zf3LcPDh2qyvZvuQXe9z44f+EudvYvkYhHSzon6tIcbFvsIn1lnjbiLMTG13OTzPXXsDwzRadpIxmfIslURbvrIcL9t0Rhzy7YvdvXug88ACd+fICpwYPEW84yaer3wWG1tAK/tKWV9u5bM2UFj3374Ph7Ely4fJi2q/3Mt89uvObUObc8uudQT0Xl0Xe9C35wpIfrY1do77/KQmyCBSbyLh+fNSSuGTpb40zfupK5ztaB2KyhdTDCPakeRu5Y5dYjd8C2bVXd5x13wN3Ht9A/eIT44GDx+xQgMRXFXFqhoyvO9K5gfr+O1VZW+mboTLYxsW0kcz3N0joRg74k86uZ62v7WIz4/sL3CfGZCLErayQXxumKdJBMTLPE9Pr8thgc7IqzY9cB2LMn5zYeeghO9x+m/dpeYmtvV3xfEp+JELucpnNrgoUd4wV/v7sTrew/0gO33lrRPgPxjnfAsWObfRSbyhQLATbGvBv4fWvtB53Pnwaw1v4PzzLPO8ucMsbEgOvALbbAxo8fP25Pnz4dwFcQEREREREREREAY8zPrbXHc80rpWHzz4A7jDE9xpg48HHgqaxlngIecd5/DHihUAWQiIiIiIiIiIjUVtHmYE4fP/8GeJ5MtOOfWWt7jTH/FThtrX0K+CrwF8aYPmCSTEWRiIiIiIiIiIjUiVL6BMJa+x3gO1nTPuN5vwT8WrCHJiIiIiIiIiIiQdE4lyIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIiIiIiIiIiTUCVQCIijxSKIQAABwtJREFUIiIiIiIiTcBYazdnx8aMAVc3ZefB2wmMb/ZBSOgpHUlQlJYkCEpHEgSlIwmK0pIEQelIglLvaemAtfaWXDM2rRKokRhjTltrj2/2cUi4KR1JUJSWJAhKRxIEpSMJitKSBEHpSIIS5rSk5mAiIiIiIiIiIk1AlUAiIiIiIiIiIk1AlUDB+L+bfQDSEJSOJChKSxIEpSMJgtKRBEVpSYKgdCRBCW1aUp9AIiIiIiIiIiJNQJFAIiIiIiIiIiJNQJVAFTDGPGiMOW+M6TPGfGqzj0c2nzFmnzHm+8aYN40xvcaYf+tM7zbGnDTGXHD+bnemG2PMY04aOmOMudezrUec5S8YYx7xTH+nMeass85jxhhT+28qtWCMiRpjXjXGPON87jHGvOykib82xsSd6Qnnc58z/6BnG592pp83xnzQM135V5MwxmwzxjxhjHnLyZverTxJ/DLGfMK5rp0zxpwwxrQqT5JSGGP+zBgzaow555lW9Two3z4knPKkoz9yrm1njDFPGmO2eeb5ymvKyc8knHKlJc+8f2+MscaYnc7nxsyTrLV6lfECosBF4BAQB14Hjm72cem16eliD3Cv834L8DZwFPhD4FPO9E8Bn3Xefwj4LmCA+4CXnendwCXn73bn/XZn3k+BdzvrfBd4aLO/t15VS0+/C/wV8Izz+W+AjzvvvwT8jvP+XwNfct5/HPhr5/1RJ29KAD1OnhVV/tVcL+DPgX/pvI8D25Qn6eUzDd0OXAbanM9/A/xz5Ul6lZh+/hFwL3DOM63qeVC+fegVzleedPQBIOa8/6wnHfnOa/zmZ3qF95UrLTnT9wHPA1eBnc60hsyTFAlUvncBfdbaS9baFeAbwMObfEyyyay1w9baV5z3c8CbZArPD5O5EcP5+1Hn/cPA123GS8A2Y8we4IPASWvtpLV2CjgJPOjM67LWnrKZHOTrnm1JAzHG7AX+CfAV57MB3g884SySnY7c9PUE8ICz/MPAN6y1y9bay0AfmbxL+VeTMMZ0kSnsfBXAWrtirZ1GeZL4FwPajDExoB0YRnmSlMBa+0NgMmtyLfKgfPuQEMqVjqy1f2etTTkfXwL2Ou995TVllrEkpPLkSQCfA/4D4O00uSHzJFUCle92oN/zecCZJgKAEy56DHgZuNVaOwyZiiJgl7NYvnRUaPpAjunSeP6EzIUo7XzeAUx7Cjve//16enHmzzjL+01f0ngOAWPA/zOZpoVfMcZ0oDxJfLDWDgL/E7hGpvJnBvg5ypOkfLXIg/LtQxrTb5KJugD/6aicMpY0EGPMR4BBa+3rWbMaMk9SJVD5ctUAa6g1AcAY0wn8LfDvrLWzhRbNMc2WMV0aiDHmw8Cotfbn3sk5FrVF5ikdSYxMyPP/sdYeAxbIhCDno7QkN3H6LXiYTLOK24AO4KEciypPkkop7YhvxphHgRTwl+6kHIuVm46UxhqcMaYdeBT4TK7ZOaaFPk9SJVD5Bsi0G3TtBYY26VikjhhjWshUAP2ltfabzuQRJzwQ5++oMz1fOio0fW+O6dJY7gc+Yoy5QiZU+f1kIoO2OU0xYOP/fj29OPO3kglz9Zu+pPEMAAPW2pedz0+QqRRSniR+/GPgsrV2zFq7CnwTeA/Kk6R8tciD8u1DGojTIe+HgV93mt+A/3Q0jv/8TBrHYTIPOV53yt57gVeMMbtp0DxJlUDl+xlwh9OTfJxMR2FPbfIxySZz2gh/FXjTWvvHnllPAW6v8Y8A3/ZM/w2n5/n7gBknPPB54APGmO3OE9gPAM878+aMMfc5+/oNz7akQVhrP22t3WutPUgmb3nBWvvrwPeBjzmLZacjN319zFneOtM/7oxs0QPcQaazOuVfTcJaex3oN8bc5Ux6AHgD5UnizzXgPmNMu/N/dtOR8iQpVy3yoHz7kAZhjHkQ+I/AR6y1i55ZvvIaJ3/ym59Jg7DWnrXW7rLWHnTK3gNkBvq5TqPmScV6jtarYM/iHyIz+tNF4NHNPh69Nv8F/EMyIX9ngNec14fItB3+HnDB+dvtLG+ALzpp6Cxw3LOt3yTTkV0f8C88048D55x1/jdgNvt761XVNPVebowOdohMIaYPeBxIONNbnc99zvxDnvUfddLKeTyjNin/ap4XcA9w2smXvkVmFAvlSXr5TUf/BXjL+V//BZlRd5Qn6VVK2jlBpi+pVTI3V79Vizwo3z70CucrTzrqI9Mvi1vm/pJneV95TTn5mV7hfOVKS1nzr3BjdLCGzJPcAxIRERERERERkQam5mAiIiIiIiIiIk1AlUAiIiIiIiIiIk1AlUAiIiIiIiIiIk1AlUAiIiIiIiIiIk1AlUAiIiIiIiIiIk1AlUAiIiIiIiIiIk1AlUAiIiIiIiIiIk1AlUAiIiIiIiIiIk3g/wOoX1eqKojSIAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f = time_series[-3]\n", "x_train = f[0][col_to_keep_all].values\n", "y_train = f[0][['y']].values.flatten()\n", "x_test = f[1][col_to_keep_all].values\n", "y_test = f[1][['y']].values.flatten()\n", "\n", "gb = GradientBoostingClassifier()\n", "gb.fit(x_train, y_train)\n", "pred = gb.predict(x_test)\n", "\n", "plot_predictions(pred, y_test)\n", "\n", "pred_df = create_pred_df(pred, y_test)\n", "\n", "print('Balanced accuracy: ', round(balanced_accuracy_score(pred_df['ref'], pred_df['indicator']), 4) * 100, '%')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Feature Importance\n", "In this section we are interested in the importance of different features in an XGBClassifier trained on data with and without noise. It turns out that the TDA features tend to become increasingly important if we have noisy data.\n", "\n", "(Note: The feature importance score reported here is is a measure of how many times a certain feature is used in the XGBoost trees.)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# feature importance for no noise\n", "f = time_series[0]\n", "x_train = f[0][col_to_keep_all]\n", "y_train = f[0][['y']].values.flatten()\n", "x_test = f[1][col_to_keep_all]\n", "y_test = f[1][['y']].values.flatten()\n", "\n", "\n", "xgb_classifier = XGBClassifier()\n", "xgb_classifier.fit(x_train, y_train)\n", "pred = xgb_classifier.predict(x_test)\n", "\n", "pred_df = create_pred_df(pred, y_test)\n", "df_without_noise = pd.DataFrame(xgb_classifier.get_booster().get_score(importance_type='weight').items()).sort_values(by=1, ascending=False)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# feature importance with high noise\n", "f = time_series[-1]\n", "x_train = f[0][col_to_keep_all]\n", "y_train = f[0][['y']].values.flatten()\n", "x_test = f[1][col_to_keep_all]\n", "y_test = f[1][['y']].values.flatten()\n", "\n", "xgb_classifier = XGBClassifier()\n", "xgb_classifier.fit(x_train, y_train)\n", "pred = xgb_classifier.predict(x_test)\n", "\n", "pred_df = create_pred_df(pred, y_test)\n", "df_with_noise = pd.DataFrame(xgb_classifier.get_booster().get_score(importance_type='weight').items()).sort_values(by=1, ascending=False)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "num = 8\n", "y = list(range(num))\n", "labels = df_with_noise.head(num)[0]\n", "ax.barh(y=y, \n", " width=df_with_noise.head(num)[1][::-1],\n", " tick_label=labels[::-1])\n", "ax.set_xlabel('F-score')\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "num = 8\n", "y = list(range(num))\n", "labels = df_without_noise.head(num)[0]\n", "ax.barh(y=y, \n", " width=df_without_noise.head(num)[1][::-1],\n", " tick_label=labels[::-1])\n", "ax.set_xlabel('F-score')\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }