Skip to content

Instantly share code, notes, and snippets.

@junpenglao
Last active November 1, 2023 17:39
Show Gist options
  • Save junpenglao/70e9bc3d60b310646bfa189394db1a29 to your computer and use it in GitHub Desktop.
Save junpenglao/70e9bc3d60b310646bfa189394db1a29 to your computer and use it in GitHub Desktop.
Fastest EM estimation for GMM in python.ipynb
Display the source blob
Display the rendered blob
Raw
{
"nbformat": 4,
"nbformat_minor": 0,
"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": "3.7.6"
},
"colab": {
"name": "Fastest EM estimation for GMM in python.ipynb",
"provenance": [],
"collapsed_sections": [],
"toc_visible": true,
"machine_shape": "hm",
"include_colab_link": true
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/junpenglao/70e9bc3d60b310646bfa189394db1a29/fastest-em-estimation-for-gmm-in-python.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "k62G0ee5wPbb",
"outputId": "0bc171a1-4459-4eff-810b-3412a87ecc0c",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"!pip install -q --upgrade tf-nightly-gpu tfp-nightly jax jaxlib"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"\u001b[K |████████████████████████████████| 453.6MB 32kB/s \n",
"\u001b[K |████████████████████████████████| 5.5MB 70.2MB/s \n",
"\u001b[K |████████████████████████████████| 696kB 65.7MB/s \n",
"\u001b[K |████████████████████████████████| 46.5MB 75kB/s \n",
"\u001b[K |████████████████████████████████| 5.5MB 66.4MB/s \n",
"\u001b[K |████████████████████████████████| 12.8MB 29.7MB/s \n",
"\u001b[K |████████████████████████████████| 4.2MB 9.9MB/s \n",
"\u001b[K |████████████████████████████████| 1.3MB 61.9MB/s \n",
"\u001b[K |████████████████████████████████| 471kB 66.8MB/s \n",
"\u001b[?25h Building wheel for jax (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
"\u001b[31mERROR: tensorflow 2.5.0 has requirement grpcio~=1.34.0, but you'll have grpcio 1.38.1 which is incompatible.\u001b[0m\n",
"\u001b[31mERROR: tensorflow 2.5.0 has requirement keras-nightly~=2.5.0.dev, but you'll have keras-nightly 2.7.0.dev2021071200 which is incompatible.\u001b[0m\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cKJRIIRZ4PIV"
},
"source": [
"So, what is the fastest implementation of EM Algorithm for a GMM clustering [1]? \n",
"\n",
"Benchmarked using:\n",
"- My laptop, a ThinkPad X1 Carbon 5th Gen with CPU and Linux.\n",
"- Colab Pro GPU\n",
"\n",
"**Current winner: Jax**\n",
"\n",
"[1] https://www.ics.uci.edu/~smyth/courses/cs274/notes/EMnotes.pdf"
]
},
{
"cell_type": "code",
"metadata": {
"id": "J7cYzvEhHkql"
},
"source": [
"from functools import partial\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"plt.style.use('fivethirtyeight')\n",
"\n",
"%matplotlib inline\n",
"%config InlineBackend.figure_format='retina'"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "SqKJWN8wwOtB"
},
"source": [
"use_float64 = True #@param {type:\"boolean\"}\n",
"\n",
"if use_float64:\n",
" dtype = np.float64\n",
"else:\n",
" dtype = np.float32"
],
"execution_count": 3,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "P6pWUK8sgve-"
},
"source": [
"import time\n",
"\n",
"def benchmark_fn(fn, args, repeat=100):\n",
" run_time = np.zeros(repeat)\n",
" for i in range(repeat):\n",
" t0 = time.time()\n",
" out = fn(*args)\n",
" t1 = time.time()\n",
" run_time[i] = t1 - t0\n",
" return run_time, out\n",
"\n",
"def benchmark_fn_jax(fn, args, repeat=100):\n",
" run_time = np.zeros(repeat)\n",
" for i in range(repeat):\n",
" t0 = time.time()\n",
" out = fn(*args)\n",
" # https://twitter.com/SingularMattrix/status/1274389580985163776?s=20\n",
" # Account for async execution \n",
" # https://jax.readthedocs.io/en/latest/async_dispatch.html \n",
" out[0].block_until_ready()\n",
" t1 = time.time()\n",
" run_time[i] = t1 - t0\n",
" return run_time, out"
],
"execution_count": 4,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "FyzR1uyQwOtE"
},
"source": [
"X = np.asarray(\n",
" np.loadtxt(\n",
" 'https://gist.githubusercontent.com/junpenglao/70e9bc3d60b310646bfa189394db1a29/raw/a20170ec4ba8b5511e5ae895dd0b429dbb969361/sample.txt',\n",
" skiprows=1, usecols = (1,2)\n",
" )\n",
" ).astype(dtype)"
],
"execution_count": 5,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Fwh4PavxRhuS"
},
"source": [
"# A new array for testing\n",
"X_test = X[np.random.randint(0, X.shape[0], 1000), ...]\n",
"X_test += np.random.randn(*X_test.shape) * .1"
],
"execution_count": 6,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "I_B_Z_aNwOtH",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "8f692127-4d2b-4927-e87b-2cf138eaecc8"
},
"source": [
"_, ax = plt.subplots(1, 2, figsize=(10, 4))\n",
"ax[0].scatter(X[:, 0], X[:, 1], alpha=.25);\n",
"ax[1].scatter(X_test[:, 0], X_test[:, 1], alpha=.25);"
],
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABSYAAAHpCAYAAACfo+I5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdSYxdWXrY+f93zr33zTExSAbJ5JSVWVnJrCqXql1StzXAbhfktiyXIaDR8MK7btsNeGHANmSt3YANbQRZ8MIrwWjYCwsGpAYEt1xSa3BJVSoplTWSmUpmJYNzzMOb3733nNOL814wOAQZnIJB8vsBBJN8L17ciJtBfO873yAhBJRSSimllFJKKaWUUuogmRd9AUoppZRSSimllFJKqdePJiaVUkoppZRSSimllFIHThOTSimllFJKKaWUUkqpA6eJSaWUUkoppZRSSiml1IHTxKRSSimllFJKKaWUUurAaWJSKaWUUkoppZRSSil14DQxqZRSSimllFJKKaWUOnCamFRKKaWUUkoppZRSSh04TUwqpZRSSimllFJKKaUOnCYmlVJKKaWUUkoppZRSBy550RfwtLa3t8OLvgallFJKqYMyPT0tL/oa1P5prKqUUkqp183jxKtaMamUUkoppZRSSimllDpwmphUSimllFJKKaWUUkodOE1MKqWUUkoppZRSSimlDpwmJpVSSimllFJKKaWUUgdOE5NKKaWUUkoppZRSSqkD91omJi9fvszly5df9GWoXfSeHC56Pw4XvR+Hi96Pw0Xvh3pd6P/rh4fei8ND78XhoPfh8NB7cXjovdi/1zIxqZRSSimllFJKKaWUerE0MamUUkoppZRSSimllDpwmphUSimllFJKKaWUUkodOE1MKqWUUkoppZRSSimlDpwmJpVSSimllFJKKaWUUgdOE5NKKaWUUkoppZRSSqkDp4lJpZRSSimllFJKKaXUgdPEpFJKKaWUUkoppZRS6sBpYlIppZRSSimllFJKKXXgkhd9AUq9aO3cc61bcqXtKEIgFeH8lOVMM2Eq09y9UkoppZQ6HDRuVUop9arRxKR6bYUQuLRZcGmzJDEwnRkSEcoAl7dLPtoqeXcm4cJsioi86MtVSimllFKvKY1blVJKvao0MaleW5c2Cy5ulhyrGeyuAC4VmK9aXAhc3CwBeG8ue1GXqZRSSimlXnMatyqllHpVab2/ei21c8+HW/cHd7tZEY7VDB9ulbRzf8BXqJRSSimllMatSimlXm2HqmJSRP4O8E+BC8AR4DbwF8CvhBC+9SKvTb1arnVLrLBncDdhRTAC17vlI0+fdeaPUkoppZR61p5H3KqUUkodFocmWyIivwz8NvBl4HeAfwt8APw94E9E5B+8wMtTr5grbcf0PpOFM5nhSsft+XgIgYsbOf/t+pDL2yWNVJivGBqpcHm75Os3hlzcyAkhPKvLV0oppZRSr4lnGbcqpZRSh82hqJgUkQXgXwDLwBdDCCu7HvsbwO8D/wr4jy/mCtWrpgiBZJ+DwROB3O+dVNSZP0oppZRS6nl53Lh1e+T44UauXTxKKaVeCociMQmcJVZvfnt3UhIghPAHItIBjr6QK1OvpHS8xTDdR4xXBsjMg5/4uDN/TmtAqJRSSimlHuLe8UDfXSs42zK80UioJ3fiyH7pWR44lnqeMgSsQOE8mznUU3PX5u7vrxf87o0hFQPH65bMGE1WKqWUOhQOS2LyMpADPy4i8yGEtckDIvIzQAv4rRd1cerVc37Kcnm7ZL5qH/ncrdzzzvSDf1QOYuaPzq5USimllHr1hRC4tFlwabMkMewkFs+1LJe3C273PWeblrNNy9Wu42rHYQUaaTwgv9kr+cutkpMNQ6cIHKnE173Rc1ztlAiw5QPNVJhtxlj4o62Sd2cSLsymyD6rMpVSSqln6VAkJkMIGyLyL4FfAS6JyG8B68BngK8Bvwv848d5zcuXLz+T56iDdVD3pCjhxqZhkMAexZAA+ADrJZwfei6v3//4N9csNRMY7SM/WHj45pKQze9v7k8I8ElP+FFfsAItG9tzegH++y1wwGdqgbcagQfFkd0Sbg+FG0NDGeLHvlH1nKgGmvv8ydefkcNF78fhovfjcHkV78fbb7/9oi9BKXWA9hoPdKphudVztFJhseO42S0pgjBTMUyO2IcusDJ0zFUNZ5sJi+1y5+MX2yVzFcGI4IBrPc/xetCRQ0oppQ6FQ5GYBAgh/KqILAK/DvzDXQ99AvyHe1u8lXoazSQm9T7pG+bT8MDkpA+wVghv1f2eibxJwm8/EoHiMfbffNKTB15fKjBn4vV90jeA5+3mnRfendAsPIwcbJWQe/he2zCTwo9Neb449eCEplJKKaWUOlgPGw9UTwxnWjHZWE0C31sr+fLRlN19P+sjx7CA81OGemKo2sDlrQIBjtUMZvyaljg/a2XgONcyOnJIKaXUC3doEpMi8ovAvwZ+Dfh3wBLwOeDfAP9JRL4UQvjF/b7ew6oMJlUVWolweLyIe/LWuF3mw60SI3GLYSIx2biVe3yAv/mI1paP0gGNVEgfVnY5VvhAqwy8fbb2yOe2c8/3bgz54vG9Z1cCnAyBtaHn+BvVnUDy4kZOxxS06oHrXYcV4VQCVsAFaBeBb408aZrxtXP1B35t+jNyuOj9OFz0fhwuej+UUq+CR40HOteMacj3V3NyH1gfek7VBRdil8z1ruNMy7JQi88zInTyAAIL9btfs5kabvc951rxzyMXuNkr+Y8f91hoWEoXyCzkTkgsOkZIKaXUc3UoEpMi8teBXwZ+M4Twz3Y99IGI/ALwMfDPReTfhxA+fRHXqF49IsJ7cxmnmwnXuiWLHUfuA5kR3plOONNKaKUPD76e1azKez3p7MrJafvABa513E7bzkQiMFcRWpnwjaWchXrCTxyv7OualFJKKaXU83Gl7Zh+SNJPRDjfSrjaLqmahOWBp5kaUiO80bSMXMKxmmV35Dh0/oHdMVag9IFe4fjuWs6lLUcZPJkIn52xdHJAoGqFc62ENxr7n0eps9GVUko9rkORmAR+fvz7H9z7QAihLyJ/BvwC8GOAJibVMzWVGT4/l/H5ucf/2DPNhI+2SlwID00iuhDwAU7vc7jjo4LT3WYyw5WO4725mNDMXeBG9/6k5G6pCDOZ8K2lEe/OphooKqWUUvsgIn8H+KfABeAIcBv4C+BXQgjfepHXpl5uRQgk+5ixYw2caVpmKoafPlHd+fulnsPdM2IoBAjcP0eo9IGNoef/vTZkbeiZrxlsMNzoey5tOmqJsFAzzGXC1Y7bSYo+bB7lXot7yoAu2VFKKfVQhyUbMSnZOrrH45O/zw/gWpTat6nM8O5MwsrA48KDB0i6EFgZeN6d2f9JcQxO93cNiUDu4+e+0nYMXcDI3knJO9duWRt5rnfLhz5PKaWUUiAivwz8NvBl4HeAfwt8APw94E9E5B+8wMtTL7l0nMR7lESE3ENyzxihhYahV/i7/k6EB8aDVzol3dLTd4G5qtDOA5+0Y/dQv/QULnC961kZeuYqwrVOSb/0d82jbOd3f67J4p6jNcN81ZIaQSSOO5qvWuarhoubJZc2i8f/5iillHqlHZbE5DfGv/8jETm1+wER+dvATwJD4JsHfWFKPcqF2ZT3ZhPWhp7VoaPwgRAChQ+sDh1rQ897s/GEeL/2G5xCnImZjYPTIgRWB25fW7etQGbgSmd/W8KVUkqp15WILAD/AlgGLoQQ/o8Qwi+FEP5X4G8BAvyrF3mN6uV2fsqyfU+y70EWGpbVoeNE/e63ccdrFgfsjuqq1lCxdz+v7zyrA08rEbq550q75Eav4GY/UHrPxihws1+yOiz4eNuR+5jcXB7Ea9s9Rqide364kfMbn/T4vz/u8Wm74Fo3Jjfv9bCkplJKqdfbYWnl/i/A7wFfBT4Ukd8kLr95l9jmLcAvhRDWX9wlKvVgz2JW5b2edHZlKsLIsa/EpAtQsbJTbamUUkqpPZ0lHuh/O4SwsvuBEMIfiEiHvTt/lHqk/Y4Hmq8KpYf56t2xZT0xnG1aFjuOmYpBQqCVCQL4ELtpHHC14zheM9zolSz3PSXxjVbpPHNVIREonDBygXZecnkL3p3NWO47zrdigDmdCn90a8TRWmzb7pSe6VSoW+FG13GtU3KmlXCuae9q2753NvpedE6lUkq9Xg5FYjKE4EXk54B/Avx94jzJOrAB/Ffg10IIX3+Bl6jUIz3prMoHBV9Ha4ZuEZitPN7syvNTlm+vBFyQR7aCdwvPQt3sVFsqpZRSak+XiSOFflxE5kMIa5MHRORngBbwWy/q4tTLbzIe6OJmybGaeWD850KgW8BPLWR0Cqgld8eJ58bx4JVOSTsPXJhNsQKftktSA4hQMXCsZnh/1ROAqoHcQzUVMmPic2ycT9l3gUtbJW9Np+zuEr/Rc3zaKbkwl2JFuLxVklhhdeTZGHiK4PnLrZILc5Yvz1eoJ3eSibtno99rrzmV7cLz+zeHLPU9x+uG882EN6cTzuxzdrtSSqnD7dD8ax5CKIBfHf9S6pW0OwmZe89y3zN0gYW6YaGe7AwJv913rA8cqwPHj82nJOb+0+HJ7Mr3Zu+cHp9pJhypGtpFYK7ykIQm4InbFs+3Hl2VqZRSSr3OQggbIvIvgV8BLonIbwHrwGeArwG/C/zjx3nNy5cvP9G1POnHqWfvWd+LNECzJ/xgWbBAy8ZZ4mWAjovx22dqgc/UAz/q7/28egnHLJQbwiCAyYVBCMxngfWB4ZNN2O4bKlYogIYNGAc9J3fP+fKw5QIf3hpwJAvcdIGBg++2DRWBpZsbBODDVcPAxWrIqomlxUmAb1+Dm6uBc9XAqVpAiAnPzVK4nN8/Suh728IH25ZyfPBuBXwQBh6qFqoCV7ZhUAncSMP4+yG81Qj6c3FI6H04PPReHB6v+r14++23n/o1Dk1iUqlX2YNOgDe6geWBIzPwaSfgQjzpngwJn82ED9YKvrdecKaVMJOZnaBzK/f4wH2zK6cyw08ez/jPPxrQyoT0QaftwNbIc6ZpyKzZ96ZwpZRS6nUWQvhVEVkEfh34h7se+gT4D/e2eCv1uETg7WbgRDVweyjcHBqKAKnAuZrnZDXQGIdt+33eRLeE20PhSg+uDIWqhUw8U4lgDQSBwXiB4p0LivPIrw+EzzXj6J+1XOiWgSwVvrNtWMmFy13D0cwznd5ZYGAFGuPKy5uj+Jpv1ALl+Dp3CwG+3xZ+Z9UynQTqVnAePu0L14ZCIoHZJPBGDaYSWMmF45VAxcAnfQN43m7qaCKllHpZaUZCqQMw2VQ4ac3pl57rXcfRqtmZ+bM4XkJzrhUTjdYYvnw041q35FTdsDoM+5pd+ZVjFW73Hd9YypnJhKnMYiXOlOwWHg+caRqq1jzWpnCllFLqdSYivwj8a+DXgH9HnIf+OeDfAP9JRL4UQvjF/b7e41YYTCounkVlgno6B3EvfuwZP2/y3DMbOf/XX2zzdkW41ffUbNyeXfXxwLwy3qYNkLtAKwnkTvjC+SnqVvizxT7d1HF6JqWeCpvbJecrgfWRZ8vCXGaZq8TYsuUDeYA3Z1O2c8/s0YxeGfjydMLbu2ZMXtzIuToYcv6YZ7ZiWRo4bnUd29ZxelYwIdArYc0KRWqoJwYzm3J6KoXrN/jRQPip997UmPYF0n+fDg+9F4eH3ov908SkUs9ZO/d8uHX3vKDlgacMgeVhYGPgccT2lrWho5manaU3VoRmamimhp84vveQ8N1EhK+dq7NQT/jm0oiVcVVmxQoLdUPVCtk4Kfk4m8KVUkqp15WI/HXgl4HfDCH8s10PfSAivwB8DPxzEfn3IYRPX8Q1KrUfZ5oJIUBihNmKZWPoqCfxz63U0Mk9lfGUHx8CIQhTWUwGftrO+bTtuDAeI/TxdsHNnsMA2yPPdCasuHjQPlcxGAHnwBIrKZf6JY3U3tWtM4mTCxdoZTEpudR3QKCWxFgYERppYFBCVoF27vj+Orw5lWIkvv6jFuoopZQ6vDQxqdRzdq1bYoWdpGQIge+t5WzljtQYahYMggfWR54/vDnkrx7L4gBzkYcOCd+LiPATxyu8O5vetyn8fMs+0aZwpZRS6jX28+Pf/+DeB0IIfRH5M+Lyxh8DNDGpDq2pzPDOTMLl7ZKTdQtYNkcOEWikQsDQzh2DEqYzoZXCqabherfghxuTLh7Hd9cL1gaOmhWaqdBIYXMUSE2gV3pyZ+mXgZGPbd2tTFgbev73z1XuqmycxMkeKLxnaRAP6a91yriMZ0xEcMFza+AIPnCl45jJDNWBMJ2Ex46VlVJKHR6amFTqObvSdkzvCsAWu/Ek+FhVsLs2YlvgSMUydP6utu5EIPdPNjfnSTeFK6WUUuoulfHvR/d4fPL3+QFci1JP5efO1Pj1j7p0ykDFCqfqlu3cszxwbOdx7nkrNcxWhMLD2WZC3cKxquF7fcfNboxje0mcQdkvwQeoWOgXnu0CRmXgaNVyJIPce250oZLEA/oQwk67+KWNgk7p+WS7pJM7+g6O1WIbeWbvxMnt3LOdxx6jk3VDPQQGpaedw+2hYdAuCKG687pKKaVeHloypdRzVoRAMo6R+qXnWqdkOhPg/sDJCARgpmK42nX0S08ZIDMaZCmllFIv0DfGv/8jETm1+wER+dvATwJD4JsHfWFKPa735jLem804WjUcqQhbeWBtFKhYw7uzKX/teMZfmU/JjDBXNfzkQoWbPc/6yGMlMJUJxghWDCBkVqhYoV8GHMJcJrSLQN8FqqlloW75K/MZb0+nXNpyXNosCCFwcSPn/dWc5Z5joW7pO2gkwnbu2Mg927kHYlKyk3uqRkhEKL0wXzFsF4GmFeoWbvc8lzaLF/uNVUop9US0YlIpYsBzrVtype0oQiAV4fyU5Uzz6ZfDpCI7GwiXBx4jwpGqYXXgad6TcPQhtnxPZvGsDByN1PDOtP6owvO9T0oppdRD/Bfg94CvAh+KyG8Sl9+8S2zzFuCXQgjrL+4Sldqfqczw1TeqfP3GkCudggC8M5OQiOADDJynLD3zNcuX51M+3Cr5YD3neM1SSyxGPBtDT81CuwgEAoMy0Mk9IjCbCZkR3pqyfOFInPu4lXtONy3HaoYPt0p6hWex65mrGupWqCZxUaMhULWG6Qw2hh4f4sF+xQoBEAI+wFRqKGLekmGAL8xaPtwqOa0xoVJKvXQ026Fea9sjxx/eGvKnK7HzqpUYTjUNR6qWy9slH22VO0tinrQ15PxUfK35qmWp52gmULWW5YHHh4DZ9boD5zlWixPHm6nhZs/x1rS5a0j46yiEwKXNgkubJYmB6czEE/PAM7tPSiml1F5CCF5Efg74J8DfJ86TrAMbwH8Ffi2E8PUXeInqJfWkh65Pe1j73lxKrwwsdkuOVmHkAsPgERFqVmillrdmUs41LRc3c252HTe6jqoVEgEjgU4RWB96qhZKHzDEQ/atPFC3MRkZQsBLnKV+rGaxIuTO883lki/NZwxdwo2uYyYT5jJDp/A000AjEboW1ofxc4oII+dJBGarQmJiEjX4OJ9yoZ7QK4MuwVFKqZfQ653tUK+UxwnQJomur18fcqvvONWwpEZwAW71PNd7nrNNy+mG5eJmCfDEQc6ZZsJHWyUuBMoQsBKDqeM1w3Lf00zBjAM2D8yMr1UIrA09f/fsnet/XSsGL20WXNy8e7M5xCrU+arFhfDU90kppZR6mBBCAfzq+JdST+VJD12f1aG6iNBIhf/xWIUywHLfUfhAaoTjdcvxWqxkXOyWfGu5IDXCZu6YyywBYX3kGbiYRBw5IQ9gDFQFvAgnGpbNEdwaOKrWcK5lqScxVh24mNC0EuPha50SH+DN6YTLWyUD5xHiIf3qIC7HMaUn93B62jKXGXpl4EjNsD2EU5VAPTGkRpfgKKXUy0gTk+ql9ySB3aXNgvdX47Dts027U7WYSPx4BzsLaE43k6dqDZnKDO/OJFzcLDES21QSgYVxZeTywAMBFwIn65ZE4klz4T1vtuJ1H3TFYLeE20Pho8XBC0+AtnPPh1v3JyV3syI7rUHawqOUUkqpw+5xD12fx6H6lXac7Zga4Xzr/reFi52CxY6jamGhbrjeK7k99DgPncLTsCBiaKTC+jBgJeBDoF8ENnOP84HvrcHPvlHl3K7un7W+Jx2PM6onhjOthMV2yUwmTFeEzFh6ZaCTBypG6BSepGJ4cyrheC2h9IFuGTgqwqlK4FQtLol8moWRSimlXhxNTKqX3uMGdpNEVyCQiLmrlXrCcmcBzbGaxQhP1RpyYTYF4Gav5PbAcaKeYEU4Wksw4tgceTIj1Kxh5OGNpsWK5UtHYqLx4kZ+IBWDk6D3jzcMVuBzx+SFt0xf68aT8r2SkhNW5Knvk1JKKaXU8/Ykh67Xu+UzP1SPCxrv/vz9Mm7nvtou+Xi7pJkKN3sO7wOZNQyKQGLiLPSRF0KAkXMkIgy9MHKBio1DV080EhqJ4Uftkpmq5VzTxpZsH6ju2rh9rhkP6691SuqJoZ07ZlJhJjUMysDQCZ+dSRGgUzgGTvj8XMKX5ytsLN1JROrCSKWUejlpYlK91J4ksJskulb6noeNbty9gOZUI3mq1hAR4b25jJmK4Tc+6dMv4zDvxAhvTSfjYeJ3AsdO4fjLrZKLG/DdtZiU/OxMwsgJ9eQBidRnVDE4SfIeSeOG8Mlp9otsmb7Sdkzv8+uZyYy28CillFLqUHvcQ9f3V0Z8b6PgWrdkbRCYSj1zVWG2YncSfJND9Y+3SwZl4PJ2yQcrIxIbN2+fqFsuzKV3db/sXtBIiPMmr3YcVqDv4pzHfhFo557ceVqpQRBWhwFr4vWJBDZz8CFQS6BVtcxXDamJ44wsMPKBxXaMH8+3EkYuHsJPiMSKzeM1w1Lf8f11WB44EgMLdWHoLO/OpHTL+HnOtJKdJOduW7k/0IWRr+uIJaWUetY0Maleak9STTdJdE3mPT5MMzXc7nvONp9Na8ipRsLPnq4+sPoRYsXip52SH6wXnGtZ5muW692Cmo1tOj/aLqmlcWt3bAkXFhrjOUCJeaqKwd1J3qU9vi0vomX6Qaf5e9EWHqWUUkoddvs9dA0hsDXy/M61IUeqlkEROFKJ1YirA8/ywHO8ZnbGA60MHJ+2S651CozEasYvHrH0Cs+lrVgJuVC3XJhNuTCb3rWgcbFbsthx1JM4UuiH6wUe2B55mqkh94EQoJkZVoeO3AV63hMIFCWkFhqpxCQnMFuxZEbi8psgzFWEa52S+aowXzV3VUxO1BPDm1OGN6fSceWm5+L6iPVRoO8CbzSTnZj3Xi7Ebd0HsTDyQSOWche41Xd8e2VE4QNnm5afPlHlbEuTlEop9SiamFQvtSepppskuhKJc3lKH+fgbAw8joBFmKsZZjNDxQqlD8+0NWTS1v3hVpw5OZMZEontJz/YyLnedXzxSMKbrRREWO4HpjLD2tCx1Hf0SzjbspyqW1yAG13HtU7JmVbCqfqTVwwe1pbpu07zH0FbeJRSSil12O330HWx67jeLRmVcKKesDnKx1WKQtMIPgSW+37n+ct9jxFYHQTembEMXGyZrlqLA7ZGnqnM73S/TBY0dgvH1U7JyAWud31cNiPgfcAKDJyncIFuCPTLgBEQhEoq5B5KF+iXUPY89VSoWNgYwFbukADVRMh9fNv50WbJTy5UuN5zuIcUCdQTw5mmUE+qnGkYFrt+zw4pH2Bl4Hlv9mCSgLvHSBnifbraKeMBftWAxBnyf3hryIlGcuBjkJRS6mWjiUn1UnuSarpJomuhbvjOWk6vjEFX1cZ5kz7A2sCxPHDMVwwzmXmmrSGTtu5JW/lix5H7QOkhePjqqQqN9E57SxkC7aFnpR9baFoprA0989XYvjOTxYBssV0SgqX1GAHZ7haUP10e0UiFN5oB56Bm9/64g2yZ3n2a/ygH3cKjlFJKKfW49nPo2i891zol05lBjMTDYwRPbNsGMCI0U7jRi7MlG1ZYGUBmAxA/ZmLS6n295/kf5u1O98u7Mwm/c33I2sDRd1Cx0C1gY+Rp53GhTWKEegLdUhCgbkGMMCgD23mspBSJX0/dxorLLp7Zajx8L3zgg7WcmUy4MJvy48cymnvMiJ9wIewkGy/MpjTS4oGH+hsFOOB/Hj/vebt3jNSVTsliu2SuIjtzP4cuFjW8v1pwZuB4fznnf1pI+Runalo9qZRSD6Dv4NVL7Umq6c61YqJr6ALLg3j6uju5aQUaicEDVzuO5izPpTVkKjN8fi7j8+Pk3g83clLDXUlJAOdhqe+ZSu8EPEZgM/ecGGcPjQhzFVjslLw7++gqxge1oNQTaCTCja5jrWM4WQmcDOGBp7sH2TI9Oc1/2Kk6HGwLj1JKKaXUk9rPoevywGNE6JeB+YrBBZirGVYHd89ILwOs9B29IpBaoVcEWpnQzj2nmne//mR++trQ00gN17slF2ZT/tu1AUsDTwAGZayYbKbCxtBjxu3Y2zlMVyCEGH93ykDuoGaF1ASycUxeSw1HqoaRg42RIxXhM7WEioG1gec7ruC3rw451zKcbVqu99x9ycatPM5inyQl9zrUz4xwrhY4WQ0HNvt8d4fRJHk8SUoGYGngWO47jAiTHORCw/DN5Zx2AV+eT7V6Uiml7qHv4NVL7Umq6U43Ez5Yy1kaOM5PWVb7nmbKfdu589Izcp4/Ww0kxvBH5vkOtN6rLd3aQO4DRu48VrOwObyTmIR4/UMXqJhHJwwftMk8NQaRWIE5snBzKCx2Hedb9/8zcZAt01OZ4d2ZZN+n6noSrZRSSqnD7Ewz4ZtLIy5tjPhR2+8sTnl72vK52Yz5qmWp56gl0CvhszMJ60PPbGZY7juGLtAtArf7jnYe6BSeqg1QCrmLW6w3Rh5Imc6Emr0TG03mp//Vo5PFjhnWCEcyYWXkSYwhhFg5WbGO6QyKYPAEBmU8wK+kwkwFChcToS7EqsXMxlgydzCVChZLGWL1pgjM14R24REJfNJ2uABnGoZaYrjavZNsfGc64UwroZXeHdPde6gPcDkPdMt4wH8QS2h2x+uT5PHkPcTSwLHUc7TGxQQuCBujwIm6MJ29mDbLRgIAACAASURBVCWSSin1MtDEpHqpPUk13VRmmE6FTh4404izYZYHHkOgZgUhsDp0XO95pjLL2abheE1opMLl7ZKPtsrnMitmr7Z054TUgieecjP+PQZ6u54HVGyc9fMwe20yX2gYbnZjsGUEphK41ikfOGT8oFumHzaX895TdaWUUkqpw8p7zx/cHPDN5RGd3HOibsmMoQwxzvnhRskX5hIKHxOM56cSjtUsK8PYWWMFPt5yeAK58zRTYXsU2CohSKAi0MpiIuxmz9Mtct6ZTXcW5FiJ89V3d7/c7jt6Hk43U3ZHfCKBpZ6jGD9fRBg6x3YOZ5qW3AbaeaAEDIGKDVhgexRIxJJaGBUQCDQSS7fwzGUJG6PA+VaCC4HFrue9WcPPn6099vdye+T4/1YM3+1YZts9WonhVNNwpGqfW8y+O15f6rmd6tWhCyz37yQlIXY4uXG83kziwqKvHEsOdImkUkq9DDQxqV5qT1pNJwjvzqbc6jlqieWtKUM796wPPbf6jk4ReGcm4bMzGakRloeBN6eF+erzO+3cqy3dGjhZsywP4lZEQ0xS7k5iTgaav9my2EdUMu615OZ4zXKt63DjPxuJVZjLA8/51p3A6UW0TD+shWevU3WllFJKqcNiMtf7P3/S4wcbBceqwrGapVcGShNboo9W4vbrP10pyAz8L2eqnGsmIMLZpuXPV3JyB/M1w5V2SWaFgYsHtamB3EFpITXCTMUQQtxmfa0bo7uFWlycmBi5q/tFiKOD7o2k3qgndPKYcMuskBAIQRh6jw+W1Aifm7F8vFng5E47czWFEw3D7YFjJjN088BcFvDAyUas+jzfSuKymJp57ETdZCTR168P+bBtOJYFTjQSXIBbPc/1nuds03K6YZ95zL47Xi93FUZs5neqJ3Mf6BSBrZEj92ApmK0KVuTAl0gqpdTLQBOT6qX3JNV0JfDWVMKpRkz4Lfcd9dRQTQxpYjjTuFMlGIgnyxMPCqJ2L5F50haSvdrSExGOVi0iwtLAxcSkh2N1SxmgW3g8cG68qbvvHvjyO/ZqGa8ncdbPYscRm27i6e4keIQX3zL9oBYepZRSSqnDavdc73buuLztONu0GIlJRQiIwCiAd2CN8O5swo1OSQgSt8oAR6sGAYwBVwaOVA2lD9zqx7jNBZivGzKJ/70xjEmxkQv0C8+g9NRsTByebtq7ul88QmLAh3DXaKOKFU43Ld08zp0cefBB8B5mK4bpzGAFbvYdmYmJ1hg3w9DFRKcV6BWe672YzPtRu2DkhON1u9OVs1eibq/4ul94PtxydErPiQrjLeExXu+XnrVh4KPNgoWa4fNHMj5YK55ZheLueD0RiYlegY2Bp2ZheeC4PW63dz5Wr3bLQK/rCQKLnYJTdXtgSySVUuploIlJ9dJ7kmq6yWlnPTGcb5mdxNuVTokRRz3ZVY04PlnebXLaea1TIsJdS2SS8Ws/bgvJXm3pCw3Lja5joWaZyQzrI8eNbgwQhy5wumk5XrPUEsPq0D2yxfphm8zPjasgv7MZg8kZIHeBwgdtmVZKKaWUeky753pf3BjRLTybo0CvjIfemcTumNnMMFezEITECNMVw8XNAmsCK/3ArX7Jdh44Vjdsj1xsk3bQSoUjVUvVQCMVrnUdw9Ix8obpNC43LL3QKQIfrI442Uj40pGEvrvT/XKyYRiVhm4R7pu7PpcZTjYtt3ue1ASmMyiDMJUKIxerIN+oW1IrrAw86yOH97GqMpFxFaYIn50xHKsZCPHvbnQd1zolZ1oJp+rmrkTdg5Y0TuLr76/nfGetYLYiWIQgcSHP7X45Hs0Uq0+rVcNm4VnslPTLwFQKXztXf+qW7t3x+iRGn8li9eStjmOp78ks1AzkxFmb7cIzKANnm5Yr7ZIQAs3s0fPxlVLqdaGJSfXKeJxqur2qE3fPipnoFp7TzfuDh5nM8I3bQ47UkvvayFPhsdu+92pLP14zXOuU+ACpFarW8NU3Us617k4O7rfF+qGbzEU410opm571XOiVgYEL9MtwqFumn0XFqlJKKaXUs7Qz17sqXOuU/O6NEaUPVBOhZqHnYHnoycvAIo43mp6ZimV9VNIvPNs5GAm80UjIXWAqEzq5p1PAQt0gwVGzliM1AwjXuiUhxAN072OCMYTY/dNKhHYRcCHw0Zbjb52u7sRIJ2oJm0NHIxVWh3fmrhsBH2LMuz2K8yxHTqgboV3C6YZhrmJZHxq+s5azPvKMSpjKhCIXnIeuCzTSeMhtROi7wHRmGDjPWt/x4biy8cxUQjuvMJWZBy5phBi7doo4W/P3bzjmqkIlFzyBDMdsxdyVVE1F8AFO1i3fWi54a7p46vbp3fH6fFW41onx9+bIc6vnmMpiZevIBVqZIbOxpd6b+HcjD592HO/NanyqlFITmphUr4zHSU7tVZ1Y3vNnR5zneKx2f2Iyd57FruPduWzPxTuPOzvnQW3pNSucbFgubRZMZcL5VrJT2bhznY/RYr2fTeY1C2/UAtlsyjvTyaGdgfOwE/XnuahIKaWUUupRJnO9r/cc76/mjMrATEWwxtAtHO1R7EZJDeQB1oaxa6dXxoU2PnjmKrGSsVMEjmSMl9Z4frDhyMvAQsMQgqGaxErEWgLDMnbVjFxMMhYeBg4yEY7WLEbgjcadOPDCXMLSoGRrFPjstGE792yMAs7Fas5TDcuRquF613OuFTuVVgaemUzG88gdt/ueegLHWzEWvdktaeeezBqmM7jecbRzTxmE1EBmDPMVmEmFjdyTdB1fvzHkTCNu6D5Ws3fF1yEEFruOP7k9opII9TQwKgPiYSk3zFgPEis8JzFfzRrWh57jNUsz5Zktndkdr7cy4UbPsT2KsXsR4rW2MsNUNp7zWQbmqobZzLA6cDRTg56bK6XUHZqYVC+9J0lO7VWduHtWzGShzLmWvW8rNdyZp/OwbeDAYw253qst/WjV8NMLGe0i0EgNRYCE8ERbqfe7ydwHDnzJzeN62In681xUpJRSSin1KFfajtTAx9slAxeopTKeBxnYzv3OuCARwYTA0McN2WUACYEiCJc2C37uTJ2NoeNW37E1CjgvTKXQF2ikhu0icKPnEYTj44U6G0PPsPSsDwPWwsgJc9U4G/JI1XKj55iuxOTkmWbCibplKgvc6MbFkO9U43xIF6BbQmY9Xzxi2BjGysnEWK53SyDwSbtkpiIIwk5DjwRGAeZSKIJQes+nbc+JurBQTQgCnQK280Ag8Nlpy3zV8I2lnMzAQj3Gn/3SszxwfH+14PbAsTlyHKsnmHEb93YZ26bribAx9AAcGX9dk63YLkBm955l+bh2x+tXOwW/8aM+nUIoQ2DGQjMxGCMMy1hNOVc1uxKmgdwFRl4PzJVSauLwZhyU2qcnTU49qDrxeN1wveswEnYWytxbnTjx6bbjM4+Y5zgxk5nHGnK9V1v6pCr0abZS72eTuQ+wVgh/c+bwtkLvtEft8TXA41esKqWUUko9K0UIdEaObh7nLc7XDMt9T8CTe6iMk5KE2Oo8KiF4qCbx4Hs+g5s9x3+/PaJqY1xzYTYuP7zWLTHi6eaBozXDlo8Jzb6Lm73FBIKPsfDJhlAEqFrhz1dyprM4p3JyaD+VxQWI31jKcSGwNvT8KPe0UmG+ZjnTSjhaTekUgXOnDPU0bgXvFIY/vj2kYoU3Wwl9FxOihfcMS6gnMbHZK8LOIpxUBGNiPGaTuHBnfRRY6scD82K80bpXOFaHnqsdR+kDW4XnWM3QLz1bI0e3DASgkxuOVQIiQj2BzWGglQQyG9u4rcjOWKbHjccfZSozfOFIhcVOLBJYHzqudT2Fj2+ypytCKzU72899CJQephJ4QM2DUkq9tjQxqV5qT5OcelB1YuEC17oFzcTQygy3e55AyfHa3VWTLgSKEDhZ319UEdtuwqOf+AjPaiv1ozaZr5fwVt0f6iU3k/aoZ1mxqpRSSin1rKQi3OzGxSe1xHC8Cks9Tyf3WNjp5Bl5KFw8VHcBnA8YazhSs4QA64NyZzs3QGaE2Yph5KE9cgQsQaBqYLVfMvLQSCC1sZ04SwzOeRbqCYnAdu55f7Xg0mbBhdmUS5sFix1HFnfTcLQqnGmmDMsY726OHDUL782mO8nMz49jqts9TwhxmU/VwkLdYgUCgbwMLA8DMxl4DEY82wWcHH8dgdhyfqpuWB95+uW4tV3gu2s5RRBmKoaVfkkyjvlmKpbt3DGTCTe6jq6DpoN+3+GJ7efGjOdy+sB81eyMZXpW8fi9ihCYSg3HapajNXfXEh4j8X4OxouCTtYNqZGdZOWEzktXSr3ONDGpXmrPIjk1lRnem00RYFAGPj+XsT70zFcNAeFm13Gt6zjbjNWTDlgZeM41EzK7v0ChDNwXgLxIj9pk/ubQ00jY91zGFxFMXWk7pvf52s/6hFwppZRS6lHOT1m+uewJxLbiZmo40TAsDRyTs+1YRRcQiVV0wzImKhcaQi0xOO9ZHsZW582RY2MUmKvEWYoB6OeezZGn9DEBujQcb8JGmK1A1cKg9MxV7E4s2swMm0PPX6zldIsQZzrWLScayU7r9FI/zmysmLjE5mzrwTPHgwRON+xdS2cADLFS0VpP7j3bo0AqkPvYmTPy8fsyV7FMZ8LWyLM88CQi9Jzne+sFJ+oJN7uOmz3HbBUyK7RSYTOPcXXFQruEuoHZCqQIpY1z110oyQwcqcRq0HpiKMax7rOWijBfN6z0PSfqCbOVsHOvJnM6j9bioiArsDL0nG/FdnOdl66UUpqYVC+5Z5Wc2t0OfryWsdh1XOvEasJmIiDwyXbJ5shzspHw3myCn7F80nYPXSIzsZV73tln2/dB2qsC8/L6/j7+RQZTRQgk+3zN53VCrpRSSim1lzPNhNzB5tCxMnRAnB2ZGhh6SIgzESchig/xMLtu4h9u9UuCD2wXsYpwLjMYCXTLmHycSgxvT1m2y8C1DvRKwMdKRAKsDz3bhedMI2E2uxMzjVzgSNWw1HdsDDxfOnpnkWM9MZxvGc637nwdLgSudR2fm/H3HThXjCH3MQG621zNsNgtOZIJHsuwKCk8eGIidjaztFIhNUK3DJxoWJZ6JQ74YK2gXwbOm5jQtRJojwLtPDBbiUtkrncdQw8ziWcYYtIxNYIlfm9GJTgDrVR2xjI9r3j8/JSlUzgccUZ91Qon6gkn6vc/d2MUix8mM9x1XrpSSmliUr3knkVy6kHt4OdbCcdrhuWBZ7nvKHyglsRZNX/teMbJRkI79/zltnvkEplO4bjaKSld4C+3y8euJjzMrR0vMphKxwnQdB+3/7BVrCqllFLq1RZC4Hq3xPnArYHHe09mTKxCFKEwgdRCewQeyEyMVZsp1FNDYg0G6IcAIYyX1RiaqeFzUwmbI8eVdkm39HRzWKgLi52AG79OaoWqBQGW+x5rSs43E4IIHjjRsNzqOlrZ3uOQJh7WefTl+YRvr+Scbtz9tnI2M7hxhjQxhkZqGJaecw3Ludad5/oQ8CFwpGK53nU0M0PuAq1UsOPYLTHxvw2wOYyzLyEgwJFM2C4DjVTol7H7KSC8N2V5ayph4KHvAhX7/JY6ThZLnm4ErnU9MxXDg8oWYlu852ffqDGVGZ2XrpRSY5qYVC+1vZJTsQ3Fs9RzlOPk5XwtBnP32qsd/M6J8Z0fk9WhG1dNPnqJTAiBTzslP1gvONeyzI9n2+y3mnB75PjDW0P+dKUgEGfXnGpYjlTNoWjteNHB1Pkpy+Xt8qWuWFVKKaXUq+niRs7Xb4yopTCdGtZGgSAxaVixgV4eKxsrFlop5A56DmoWIG5zlvHMyfmqoWpga+gYucB7MwlDF1gdeXIXkPFG72YSN10nRqgmQsMKiOC951bPU0scjcSwULc0EsNmnjNXfbrOo68cq/AnS/nO4flE1QpzFUMn9zTTOH+yXQjHdsVtPsRFNwsNiwuwmXvemk6oJEIq8XEjsX17Ow9UE6GWwK2BRzC8PWUY9EbkQXA+tq4fr6eca8SFPQCdgeMvVoa0c+FE0/BHt0bP/IB/8p7ghxuBM0243oszJpup2dls3s4dW3ngZ05kfOVYBYgH/Ld6JZ9us/N+ZaFh7pttr/PSlVKvOj1yUS+181OW7dzv/DmEwJVOyZ+t5NzoOqoWptN4Ynx5u+BWt+TiRk4Idyonn6QdfOLCbMp7swlrQ8/qMFZWhvFmxe+s5/xwo+CLRxK+dCQjHW9eTI0wX7XMVw0XN0subRZ3fY4QAhc3cn79ox5/vJRzrGY4Xbc0E+Fmz/PdtYJOEThSkQd+/EF5kvmez9KZZhIHxIeHt2i7EJ7bCblSSiml1L3auef3bo7oFJ5T9YQvH005VbckEvAItdSSGshLGDooPQzG7dAzFUNihJWBY2NYUktgoWHJQ9zW3c49H6yN+PZKjgUa1uBCTEIaE+dO+hBo556eG8dIYjAErnZKZiuGhVpMBPogVOzTdR6daiT81ELG1U7s7NntzamEemrolX4cu0ItEVwIdMv4a6FhWahZbvU8sxVLEGEmNZxtJTvPqSeCDwHnPUNPTHYmcKxmmErhrVrgK8cz5ipxmeNc1RBC4Eav5OPtku+tOz47m/CluZRGKlzeLvn6jeF97wmexoXZlM/PpTRSy5sty/G6YVB61oeOlYGjmRj+t8/U+dq52N99cSPn/1kcsD3yVBNhOjNUkzjb/s9XcxY7Bey6tnvfgyil1KtE36mrl9qkdWLSTr3YdSy2S+YqctcQbhFopIZ3ZpP7Woufph18ryUypYfg4aunKjTSB1f07VVNeGmz4P3VnE7pOdNKdlpBEiFuNQyw2C6BhDNN+9jViM+qNfxFL595VMUqxKTkysDz3qy2viillFLqYHy4mXO773aWwizULMzBx9uG7dwzlYEEYWkYGI1gM4daEhNqNRvnJXofGDjhqBGmM0u3KBmWcZHNDzY8784m9IrYJWRECALWxBi19HGO5MbQE6qBijHMVmJr9SQc6haeRiocrT39Ise/e7YGwB8v5STjuY69InCz77jZizPb32wZplLDysAzlQlHa5bZzFC1Mem4kTsuzCZsjTwXZhMCwsmGsJl7NoeeSgLdHI7WhLxmsSbG4UMPc1ngeNUQQkIjjYUAn7RL1keecy1LaoS3p1MAhuMk6a1eybeXR5xvWX7mZPWpKygf9J5gthKX7ZxvxQrO1rhz6+JGzsXNknoizGWys3A9kTiv3QGL4yTkuVa685jOS1dKvao0MalearuTU80UrnXuT0o6YGscmDRTSy0JdyXznsWswnuXyPxwIyc17JmUnLi3NWPSHh2ICcMHfbQRYa4Sv9bjNbPv1o7HWVSzH4dh+czkWj/cikHvTGZ22uW3co8P8N7s/r8mpZRSSqmn9f5qQSs1O/GoiIy3NVuW+o4rnYKBF5oJJBIYlHC0Gtt+Sx9IreF4aphJhTwQt0kLLOWe1Ahz1ZisvNUvWR3PQi9D/FyV8VxJQbAChYPZTGglMHCwMQocq8fW4TMtS3WfFZO7x+I86JD7M9Mp78wk/O6NIX+ylOMCNFLhK/MJxhhmKxYInGpB4WMMnJhYPbk29FSMUHg417IcrRreXytIrXCiZjlRs4SQsDRwLA/idp/cBVwIlAEMga088NmZlHNNy/rIc71b0kgMq4MYD37aLshdYGngsSI0E6HetKwMPd9fz5/ZiKS9FktO7B6FtNgWXIhx8m6WWDl7tes4Nm7r1nnpSqlXmSYm1UtvknT6+o0hvdIzlSUIcZ5Lt/B4YpAz2ch3bzLwecwqfNJqwkl79Eo/0HjAPMwJM/4algeeNxp2X9WIj7OoZj/Taw7D8pm9KlYzI7wzndx1Oq2UUkopdRBu9R3HHjC7sWqFc62EioUjFUszNfRLz58ujWhlhoqJybpWJkylJm6sLjxHqnHO+MmR5wfrOb3Cs9guGRSe3EExTm7FsYRC7sERyCQubuzkHh9kXI0JG0NHKzX81ELGtZ6nWzhWh56lnn/grMPJWJw3GpaLG/meh9xXOyU+CP/nhSbWjL/+EFjsllztOggwKOFU3WCtcKUd47ZzzYRjVcO5qYSpLMbjZ5uexY7bWSRzJ7kblwFd6cRrnrKBMzX4wrGMmo3dU++vjtjKPUcyQz/A0ZrhO6sFK0PH+SnLyXp8r8D/z96bPEmWXWd+v3vve8/9+RBzRkTOmVWFqkIBRYAoQCTQzeYEtqamyaw3Mi20lFba6k/QRjv9BZLMpI1asjY1TW1GsimSahIkmygSQ40oVA6RU0TG7LO/9+49Wlx3T49IjzEzoyID92eGBbIi4z33yHh+7nfOdz58fTrc43kW6dfjq5CWq4aHLcvMhMsN08Wfdi236jrsSw8EAhea8HQLvPYMxamPt3KmEsVmTyicEGnF9ZphKTWk0d7icFwM3G8HP4iT7Co87TThUNAsjrgX8AvO1zqWWzVz5DTiSYNq3iz89z+M4wi6PoTI8vl2wWJF80f3eCWJ4kd1pwOBQCAQCATOjCNMIls9IR1MKiZGMZ9qfn2hxEbPopUiNX5ycr3neNq1fLELvz6foJUXNwsnRMbbsnsi1CO/K9IohYgghdC30M6FSqyYMbDVdyylsNOH92YifnitzHuzEU86Xf7dw4y5kqKeGIzyQt2jlmWlZble1ZSN5ptzMQ/b9sAmdyVSNHKHCDxoezENAKW4VY9ZTA1rXcvjtuWXTct3L5X4r94qjZrIH21lfLH7bB/5cKDgfsvuCZKJtKKWGK7X4LevlEgauyh8aOXdZsG9RkEncyhgpV3QLvx0ZcfCfAmedhxaWS77lCFqseZJx3Gr/uKBjcdZlzQ+vLCUalaaBU7Y4/YaMry367WwLz0QCFxswtMtcGGIjOJrlZi3p48WBMfFwFexq/C004RDQTNSk60d4xjFwLpz9DTicYNq+lZ41C74aCNisSR8FncPFBIPFXSH3fGmRSEkBt6ZjkiMOheJ4oFAIBAIBAKviitVzVbPMT+heduzwkbPUjgfhNOzjnqsSTTcrkfcbxX8dLOgkTti5QNeFsqGG1MRf7Pa41HbcnPK8EY9ZjWy7OR+gnBYiymlqMWKSDmUUkQauoWQWR/A+C/fqPCf30ypx5qPtzJ6Ft6fj3nYsrRyoRb5GrMaKRq58LPNgn92OeFa1fCnj/oH1sprXUekNPWS2mNBHlKJNLfrmtv1mPWe5Z3paM9k4mxJc69R8Pl2joPR1OY3ZmOauWO14yicoBXcqBr+8GaZ9Z6vg5XyzfD7zZy+Ex52HGUD1sFyReOcT//uW2+RXuvY0X7LoX0eTp9+fZJ1SePDC5VIc6MeDfbjPy9OGgWZdWFfeiAQuPAEYTJwYXgRa/HL3lV4Wnv48DUsVzWPWofbwa1ArNWxrB2fbOU0C8cXO8VEi864kCiDpMR3qjJKLpwkJB4m6N4b2KqnEsVuH25PRaN9m/tt46/SLhMIBAKBQCBw1nxwqcS/vtthBkb7wkWE1a7lYduy1rOIE0DRscKtmuHv1jOqkf/6WqxYTCNvfbaOzb5jvVvggEqs6OSKrb6jVwiXyorHHSF2Dj2wTyvw4TDAN2ZjEq2YK/udl//ZDS9KDt00SxU/JXm5YljrOtYGOytjrbhRj/jgkqZdCJ/t5Ic2uVfb1oua7LUgT2LcuTQu6hkN3UxYKGsEn1BtsdysGb6/mGBhJNK9NxvzyXbO/7vmr9lpWzZ7jmYmGHxY5EJqqMXwyZajlVn6TsgHuy+tE74xlxAN7POT7u24nGRd0v7zyq2a/xey0vRnkKEwbAV2M6Frw770QCBw8QnCZODC8CK7Il/2rsLT2sOHr2EpNay0LBYmBuAAtArfkT/M2jEs9n68njGTeOvLfovOzZpBxFtlZkoaLcIuvvsca3WokDhJ0M2s48tGQaQUzUy4NRWNiq4hByWSBwKBQCAQCLzuvDcb87erhq2eZa5sMMCTjuXzXR/AEivoD7Yc1mOFAM2+ZbvnJxUXhzsQFRinqcXCpzs5d3ZzykbTLhz3m44k0swlmv4g1CZGiJQXJN1gz6RSfsdirGG2rEc11343zbOJxudryq61/PWTjJmy3tfkNiylmkrk76mRC9s9IXPCl42C377Csyb4GOPOpXFRbylNuNeyYyKdfzG/3C3Y7juuVKORSKeU4notYjkRPmlqPrrfZaPvWE41lysGwQdgfrpdsNq1lBSUjCJB6OaOn27lNAu4UlF8ZyGZeG/H4aTrkq5XNY87bnReUUpxux6xlOrnhOGpkuI/XiyFJn4gELjwBGEycGF4GbsiX9auwtPaw4evoWQUN2tmz9LvcZwIhTgUhq/PHCzsDYu9ubKmYtTIGh4pbzOxwOc7Bc3M8dZMjMFPie4PaDxISJwk6H65W2AdvDETjYrVSZzWLhMIBAKBQCBwnplKND+8VuZPHvbY7ls6ufCPG32amd+BnovQLYTpWHGlEtMqHFdrhpWG5WlPqMaOSqRAhJ3M0ci95bgUaWYHQubTvuD6Fl01XK4Yysax2bf0nULh6DsfMnOjFhNruFL1addD7jYssYa7zYLVtp0oNgL+HvqWf7/a42YtomcFGdinH7cttRiqieZuM6dkNLXBvstmLnua4Ldqkf9L+FrTOuFv1/r8m3td0khxr/Hs2ktpskekSyMf4vODpYQr1QgRGYXwrGeKNyrCVmyYKfnpx56F1Y6lbx2Fg3Rg2fZWaUWiBQ30cscvd+G92Wc/u5MGNh53XdKw7gU/ILD/vLJfGB6mlb87G2rkQCBwMo6z7/a8EYTJwIXhVeyKfBEOsoc3cj9RuNbxXd2y8TvShw+K4Wu4XvVy5P6l37kTHrYt16qG716KD7R2jHdwezaamPpn8Nfe6jtyKxijaBVwaVI64CFC4rig+0f34P15v8foKE5jlwkEAoGvmtex4AsEAmfLN+ZiQPijlS6f7uSsdYV6DEoJVaPQKBzQLiwK/s4MFwAAIABJREFUhVGacuywg+Sc3ApPe4IC3pgyTCeaL3cLIiOIUyyWhdWOF++kYpgreVFwJ7PsZJobNZ/k/ea0bxS3C+GNKX/0ExHuNHMamcMoPbAPe8Hs4WBi8UbdO17uNXP+cT1jt+9op0LN+HrQDWzmjzqOTi5crSo0z75PYp41we81LQC36jGI8NFWhnV+ijQ1MJdMvvb49OZ6zw6mJvdOWdpBGdzKhWqkSIwm0o7dvqNTCJdS7y7qWWFYmhoNuQMUpNqH9dysOyrRydOvx8NsjmIm0az33Lk6rwQCgYvDSfbdnrechyBMBi4UL3tX5Iuwf5rwbqPgTrNgrWO5XDH8k+WEeqyfe1BcrWh+uSv8ycMMQUiUomSErZ7vfisUv7Wc8LtXy0wlB9vWxzu4h6X+7fQcZeN3VS6WNU6E+WSyheU4QuJpE8kDgUDgvPM6F3yBQOBsUUqhlOJKJWImyckrmlKkMCimEk2ihbWu49PtgkqsmIodndynSa92fTgLIsyXNQoQgblUs9F1LFU02z1htiw4J2z3CpQYlFLMlyO+eyminvgdkbfqEVZ8+MvQLfTJds6TlmO5qvdMB0YKZhIvOt5rFPQLx0dbOa0C5kqKRt+xLX7/oRkkhHdyhwPuNh1aOdIIcqe4UTP0rFA2ipmSHgXirHb8TvPfv1bio82C6ZJBqeevDewRJoc16PXaZOt0PfZBQomBVg6VGPoWulZQSnAySCxH0beCVn5dUWKglfn08+s1deL069PUvefpvBIIBF6cgxrWeeH3xp4VJ9l3e94ci0GYDFwoXvauyIM4ybTMcJpQAV0L35pPJj8onOOPH/RQwK2piB8sJ2z2HI/blt3cF1C/uRgfKUgOGe/gHpb6Z/EhN+tdS6QUt6Yikt3J3/M4QuKLhBAFAoHAeeZ1LvgCgcDZMnSu3KxHKDRvTxsi7cWxrcyx2vUi5HzZJy9bp9nJhcJBSQtvThnSSJEYxW4mbPct1ViwTphNNBUD25m/1uO2MFVSvDUVMVcyREaxmzkWU/Pc9N3wvt6dMzxpO5Lk+TpMK8VcCT7cyNjuOUTAKUW7EKYiRaK9gPi4XbDWszgHDpgtKXKrKUeQWfhsN2c5NSynBg3ca+R80bC8Px9Tjw2F5M9NDGqlqETCj5/2ud/wgTiRUixVNJFWB1qn58uG+02HE6GZOQrxIUKVSA8mJC2dQoiVkBjFUuqnTO1w8rNtKRl94inF09S9Z3VeCQQCr5ajGtYPtzVvpsJbIq+8YX3ifbfnzOUThMlzSrCJvRgva1fkfk47LXOcB8WDtqWZO5SCSuQLqenE8MaU75YOC8sHLcs35o4WJvd3cA9K/UOgnTu6Fr4/CKp5fIAweRwh8UVCiAKBQOC88roXfIFA4GzZI6Apn8ANsJU5tnuONPICVckYIuVDamYSTVY4ChRbXWF2kKRtIl+DNjOIDTRz//VvTccslTWP2pZHHUsaGVCw3bNcqxnahZ+UHJ++G97X5UrEw3Z2YNCiVorVjqVX+CnDr00bOgVs9S1lo2gVPmU8d76ejPB7I3MFRS60C8eMUXyylfG5hkhptjPHt+djllP/bIwGtu/hDvRhcvla19G1Qi1WXC0ZrMCDlhcWd/uOd2aerx1vTkVs9hyt3FGIA4FEQ98Jy2VDPVY0MsdmX0i0MFceTFAKtHNhq+/4w1NMKb5I3fuqziuBQOBsOKph3Y3glx3NJ9v5K29Yn3Tf7XnLeQiKwDkj2MTON6edljnqQdEpHPdbPrmxmXlrz+363gPtSQ+8+zu4B6X+VWNN4YQbdTMxiXGc4wiJk0KIOoVjrWtZbbvRcvXFikIPEhVfF0LDIBD41eV1L/gCgcDZMu5cmU8MjcKRAtv9Z6Ik+Gb0TuZo9WG+rHhqFVUDjcIx5RR6kEiolEIrR9loZkqax22/g9yiuFL1Nu5qDGtdx3JZc6lseGPq+em74X3F+vCgRYBW7tjuO96fTygbvxcdYKWd0+wL2SBYRoDMCu1C8c35mFQLd5oFjztQMRq08Gsz3iadGsWPN3Ju1hzLFcWjthu9T6tdy1rHUYsV1UjRyIRrVR/eqJXwzozh51sF1VjxxpSmUzgedBUbGZTJ2eoXpEbRzb3Dxxiwzjf3cwux1rw5JWQWylrTLnwez3xJ871Lp0u/fhnhm4FA4PXjOA1rrWAhljNpWJ903+15y3kIT8ZzRrCJnV9eZFpm/4Niv1C32bNYgYpR1CJY69iJIuFJDrwHdXD3p/51CsefPepxo3b4g+y4BdWeEKKy4kHbcr9pMQqqsX/vcid8vFVwtWp40CrOvdAeGgaBwPmmVcBHW9krbRq87gVfIBA4W8adK2/PRvzVkz659fbt8VqhEinWOn5yzyhNrBSVSJE76FhhelDGySAKuxr7HYm/c6VEKVKsdhy9whEbxQ+vlo+0AY/f161BTbc/aNGKFyXbua9N65Fms2dp5kLfCq0MBAf4+lApRawhMYr5kmazbylpn859sxaRiRAZTSmCuZLGKcW9pmUp9eE4Fh/2s9b1oqRWfpqxEL8+yOKt4suViCdtx91GTmaF1a6jkUFZKxbLmtxF3G9aKrFP5u4WXhiwDqZLilqk6Ft4Y0pzueJf+07mr/ne7OmOxectfDMQCJwNx21Ya8WZNKxf95yHIEyeI4JN7HzzItMyoweFCPdaxXNC3UqzwAGf7eQspprUHPxzPe6B97gd3JJRXKkYQB34tSctqIY2mD990ONRx3KlakiU/z67OTgR3p9PuF7Vr4XQHhoGgcD5RET4oqX4sqO4Vi5eadPgdS/4AoHA2TLuXLlVj/hkK+fz3YL9xpNIK7TWOGvpWmG27ANzHncKNrqOemwAoZ0LlUihtbcovzsTg1LcrvvE6nemo2PVIHscNUpxqx6zmBrfMO84CidEWnG9ZpgvKXZz4W6zIHPQzS2NTOgUQu51UqyDqQQKUUTaP/u2+45KrOlbaBaOmcTwuONYKD2zbs+UNE97jqWyZrXr6FmH5tkedMfA6g3s9B236oZKpLlSM/zVk5zNvvDOdIQbmyi9Wo0wWvGwWbDRF5RyvDllmCsZulboO1iqaJZTr/ZaoBBhpmReaJIxhNkEAr96fFUN64McfIWV5/bdTnItLlc1cyV97nIegjB5jgg2sfPNizx8hkXgo3Yx2TKjoB5pRITHbcts6eDvfdwD70k6uD+8WkIpNSqocuevkzs5VUGlBhbt+dQwU9asdx1dJ8Raca1mWEo1lci/l4vp2Yy3n5bQMAgEzi+fbOf8sqNZiGXPdPiraBqEYK9AIHASxp0rlUjzwaWYu82CngMjQmxA4wU4J1CNvSV6oaQHfwc+3ipo5g4rftLwzSnDbKLpObwqyMktwpMcNc/cNHu/NtLQyATEkjk/xdlz/t6LAsRB00HhhMTA5ar2+9LxtWBshGYmzCZC4YS3ZxI2esJM4vdaanyD/Fbd8KePckraT2tq5fc+VmIf4nOrbkbTnfVY08hgOnF7whzBb/G8nPr3KDZ9Plx3NHOhGguXUs1cyVAaCJkW2OpZ6rHmg4XkhWq3EGYTCPzqcdYN68McfD/bzPnpZsZu33K9HhGhEIRWAdVIjYahrMCjluXjrZwfLCXIGYTyHJcgTJ4jgk3s5fMydwK+yMPn9pThZ5sZ91uT9/gY/N4dM7DCFE7oFG4k3o1zkgPvSTq4QzFxpVXwN6uKXKBeyKkLqpVWQS1WLJQj3pw6+OvOu9AeGgaBwPlk2DRYiIWDHokvs2kQgr0CgeMR9jF79jtXbtdj3p7Oedq39Asht2pghoZYw616zI1aRKwVW31H30It9jXlYmqoGAXDBol+Jkqe1CJ8XEdNM7e0CyE10B1M4gBkzguAufP3bRR0HWjttdJmJpQG96fx4TO7mbCcGm7WI552M5z4ycha7Kclv79U4nbN39N2X8idn2783mzMzXpEOlYPN3NhuaJY7wr2gHuPjeJaNWahHOHEi7+J1oPmu7CbOdqFcDk1/PBa+aVNMoYwm0DgV4eTNqwL92JrhyY5+ESEh23L/WZBohXbGcznDkFzv1lQiRWXK4bpwdE0UlCPFbkodjLOJJTnuISq+RxxkWxiX3VRutu3/MXjHn/7NAP8NOLVmma+bI5Mzz7ovl9kWuZGLeJPH/RQIhOXi8+lmo2uHSwQV8yUzMQAHDjZgfekHdxhQVVa8KXe126mx7rOJC6K0H5RXkcgcNEYNg2O6tO8rKZBCDgIBA4n7GPeyyTnyq8tlLjTyLECWz1H7oRuAbdrmpmy4VLZIAAKdjPH12cT0kix0XNkTljrWO4UwtdnIp52CwTFrZrGCfzRve6xau7jOmp+spEzkxjqseaznYLMOrT21m0RP+XZLrz4iBo4bawXMaci/9+71lu+64ni1+YjKpHmRj3iXqNgruSfz8XgPFONfLjOUkWNrNu36s8Lhqtty41qRKwsu5mjaaGiQXi2G9MBt6cirlYMm33HjZrhw/Wcxx0LAlermv9kscTXZ+MwyRgIBE7FcRvWIvDzrQw3aOac5rPxIAffvZYdPE8VWmkcwi92CmqRYynVZA4+3c745a5iKjZoJWileH8+4WbdnCu3X6iazxEXwSZ2mqK0kTm+aCke9jQ/jzovJGIOr/8nD3o87liuVg2x9mPLj9uOB23HzZrhetXssfcd575jJez04VJ69K/NfvFwKtGUjO9MOJHnrCezieZJpyDL4UpFM19SEwNwTnvg/So6uBdFaL8oryMQuGgMmwZPj/G1L6NpEAIOAoHDCfuYn2e/c2WupLg/cLCkxk9M3qwZFsuav1/PcSKs9RxP2pY08k6WslEslIXtzLHRtYjAVk+IFFyuGu43LZF2JzrsHsdR0y0c78xEfLiekWhBgJ4diJIMAh0EjPYiZOG8DX0n9zsqYwVppHmnapgqaZYGYTO3av4Qv9IsEBGM9vX7Qqr5YjenGus91u39FOInKn9tIWExNfy8JWxk3vI93I25lBrSwYokoxW/sVTmN5bKr+RnHAgEfjU5bsP6YVexZi2/f7VELX4mYubWr5p43C74u7U+t+uGf3alPFEDmeTg6xSOleZQlPR/fiU1PGgWbPYsncKNAsC61lE2CqX8Ooyn3YI0UlSj8+P2C8LkOeIi2MROUpS+NxuPxMD1rqJuhIWSfqHO+ifbOT9ez2kWXoAc/pJGyouNFrjX9NOA12vRqEvwoFUced/3mwXbfcdc2ZxqWmapoqnGigcti1ZQixglH/as7xSLwKXUYPBWk/3f93U68F4EoR0uzusIBC4aX0XTIAQcBAKTuYj7mA9z0RyXSc6VqUTzpO34+qzhcuWZTflGXfjFTs5qpwC8/a482IdYNoqlsk/s/v5yxI2a4SfrGTsZ3KybEwvBx3HU/ON6xlTik8GN1pQQShr6xk95arx9u7CAQKuAvvhafi41VAxsZY7dzOFE+HA9GwUvLKWGehzzH572aXQc/88Dh0LRz4XlFJ60HQ9a/T1fP1xvpBX03MDeHmmupcK1VLh6+Xnh8bR12Vft/HoZDF/Dh09zPtvNuN+0VCPFfFnzm0sJ31sscbV6/s6SgcDrwnEa1u0CPu9ofms5GomSIsK9lrdfG6WoRYpKzfC05/jZZjZRA5nk4Fvr+j274wNPSikqsaFTCA4/oelQiPP7fL82HVM2CifCvUbBtZo5N26/8DQ6R7zuNrGTFqXt3HGv5VhMNXZwhlNKnbqzPry+IERKPzeVCH7R9kxJc79lWUwNWsGn2zkP2vbI+75Zj9ju+Q/2/UXgkMPEw0RrrtcUyxVv017rWPKxQJgPFmKe9iz3WxY3+HMReW0PvBdBaIeL8zoCgYvGsGlwHF5W0yAEHAQCk7lI+5iP46KptBRvVY/f7Bh3roiU+WQ759OdglYhRNpPP16taD7d9jsWb9Q0CyU/8dcuhMcdx1bfMpdoShp2epZ/3Ogzlxoetc1AwHsWLuiTWB2P2wUfrvf5YCHnvbn4OWHtUEeN8mnYyWCPpOATwUtGocTRGkziRAbEgih43HLMlsCKo2f9M/Pt6YgbNZ+WbQUeNgs+fJrhEFKj+U9vpkxFil82C370pOAvHlvemYm4VjU4FI9alpWWHTmeYq2oRmriHvb9nLQuuwjrCIav4aPNjJ9u5dxpWGINs4m3za92Lf92pctfPcn4rcsJf3gzRevwuRUInIZJDevMOh53HF82Cr7Y0EQICjXKj9hrv372HEkGz8iFsn5OA5nUjF9tWybJQZkVWrnjvdlk9P2t+Ab9sNmllWKu5IN5h4FgXzXhBH2OeN1tYicpSjPr+NFawbcXkpfWWR9e/2nHTfwlHX1ffJf3addytRrx4Xqfy9XoWPd9o24wCjZ67sTTMuMCl08+jAaFo2W1bXnYKoiU4lJZs9t31GLNRt8deeA9r13d111oH3JRXkcgcNEYPlOPw8tuGoSAg0BgLxdpH/Nx3D8/e+LztN8+xfc/rMFxvWr4zkJC18JquxgTJA3vz8akBh53HH+1ltPMfEDMm3Uf8PKwZbnfzIm0IrdCpDW1SGFjRatwJxbWrlQMf7vmn7GJ9pPnzQK6uSNzjHb8pkZhtYBANhAk13qK1MAfXEuoxc+evZHyeyebuQ95/Pa8YTox3GvmPGo7vrWQsNq13G1YegW8MWWYihXZIHV2s+v4reWE+y37Suqy13UdwfhZ4G4j53HX0cstDzuOaxVNNCY8VvF7OBMj/OUTv4v/v7hd/YruPBB4vRl/nt9v5vz7Jxn3WgUlrXhzytDegYqBO82CH2/k4ITNvv+8zJ1mtvRsMr4Wa550HLfqz2sgkxx8xQHPwHbh0HrvkJZW/pk4jlYKRLHbd/u/xVdCOEGfM15nm9hJitKuFTZ77qV21ofXP+iXdJzhL/7NGjxqO96dPWYxXfKj0b97uXTiaZk9Ahdwr1Vwv2kxCqqxL4CswEbXspMJv3OlxPcWSwcWjsft6l6rGh607ZkLl69CaP8qRNjXvWEQCFxUhs9Un+568NeFpkEg8Oq5KPuY97t/hpOHq21LMXiNy1VDVQtfdhWNzJ36c39Sg+N//8LRKYS1jp+42exZbtQM82V/eH3SKdjoORIFi6lip+93Ul5ODTMJPOoIX24VvDllWCj7n0c9MWz0hK9Nn0xY++6lmD950GGzZ9nNIVIKjSDi1xExqFtxPh17pqwxwBvTEbdqht0cmrmiEBmtL2oXwt2mpWzgzemYQmBj4BaaKfm/f7USMZtoVtqORi5o5VPIvzEXEynFu7MJ1fjZCqZJnKYu+yrWEbxoXbv/LBBr2M0dqYG/W8upRYrdXDNX8knqmfOi8G5mWWnB1VTzf9/r8u5szDsz50doDQReN6YSLwQupIb35uLRM+RjBY0csrZfJbfV8yvdSlqx3vWfL0upZjk1e8LA9msgkxx80eAZHO17XGWW54a0nEweHhMExfn4PA5V+jnjdbaJnaQo3eg44mPa6o7bWR9e/6Bf0nGMgsJ5m7RSh3/tOMNi+jTTMuMCV7ewrLTcqAgbohGsKL4xF3Gv5ajG+YGF41Fd3cI5/vhBDwXcmoq+EjvKaYT2SUXarbqmU8BKy75Ua81xC8LXuWEQCFxUhs/UP3uiWIgnF1WhaRAInA0XZR/z0H2jgbvNYmwHGKMG8sOWZaOlqUbCSjPnm/OlF77uyH67lVGNNImGdm6ZSxSbPcd6zzGbaLb6lnqsWe/7Q2k19kndFaPYzhwfbeXESvjJhqMQWEoNJbP3sHscYU1EAMVmT2jkYAQSA5nzwTd9p7wQhtAHqsaH+PQKYToxVGNDJVZcKitKkR6tL9rqORbKhhs1L7TuZI7PtzMMak89XIk0y6lfdTQeBLneszxoFXvqsq0c6oYXXn90lusIXpZlfP9Z4G4zJ1KKlVZOajS1WLHV84KIArb6XhRJtEaMo0DRyR3/82dt/uu3OdcW9UDgPHNQY2MnVzQLuFb3tu3NrqXvvLW6FmsfeNbxE4uX0oho7LNxXAOZ5OBbrhoetizjPQWLf1ZXjN4TuNu1jsV071oyi9dBzkt9HITJc8rraBM7SVHaH9txcBTH7awPrz/pl3Q/ViDSviC6UjEvrZg+Suh6bzamlQv/550+04lGnCCDAJxW4RO7b035TrODAwvH43R1H7QdzdyhFFQiNRKCz9KOchKh/bAi7c8f91lpWd6fi3ijHvun6Au8lpMWhK9zwyAQuMi8Nxtzv+L4sqso92xoGgQCXxEXZR/z0H3z6U7BzzcznAhOFEbBXFkNbHc+tPDLtmb9oxa/d9WSGGE3E3b6js2+MF9WXE4j3puLjjX9NhSYbtQMv9gpWOs4tnNH1SjqiaYawZ1mjgamE4NB0S+E2bKhkTl+suEtubGGamTo5ML9Zs525lgoaWbGrn8cYe2T7ZzPdgpu1jS7mfVipBWKgYVbROgUoMQH4BjgScfy7nRMrxCqsQYRdjLhN2ejkbj4N6t9yobR4bsWa366mfGt+efvoxbBWseylGruNQt+sV3wtFdQOMU/vZzwwaUS319K+Omu8Kh3vPVHx/nZH4cXXUfwMizjk84Cq21HNdY8bPspVaUUlQgetgoSo5hKNMOrlYyinTuuVDRPu/ZcWtQDgdeFg1KzLTJ45vo/dwq0QLNwzBsf1FuLh0E2lrem966+GGogkxx8S6lmpTl0Diksfi/w9aohMX4isx4DSuFgz+fA8GuvVg3TpaM/t8+C81kVBL5STmsrOElR2rdwrXa8X4LjdtaH19//SzqJVu64WtU4gQ8uxTzuuBcqpk8idFVjxa8vJBTCcwE4w6XlMNiFeUDheFRXt1M4VpoF8yVNIxeedi236nt/dmeZjnkcof2gIi23jkYmXK8ZVloOrQpu1feKDCd9LactCF/HhkEgcJFRSvG1mnC5LMTTUWgaBAJfERdlH3PmHE92LH/5JKMe+6kTrbwN7nHb8uF6TiOzZJnCOsW9rM/6wJrnBG5UDddrEe1M+LSfsdotuFwxvDcbHziN1sgcn2zndAvH47Zjo+foWsdU5Buju5llO4NO5kiNJrNCLVGsdYTCCZ1CiLRCA+mgXi5FUDhFLdLcb1qm5vZe9zBhbTxM8kY95mHb8bRnEQddO+oNowEUVAY27cIKHQsl49AISkG+b7Bg/7olMzh4T5pVMAoetQoetgo2+440UswlmnbhJy//9d0Ol1PD28Bvz1vevl05wU/6ec5qHcHLsoxPOgsM39/CCWbwK+aHH4Q5oxi/mgYsPngpd5zZmSAQuIhMTs22TEWwPpg014BBoY3QzIThsL3XK3xja3yqcb8GMsnBd71muNMoiDWgFLfqBqn5IS1TVax2LJ3ccbM+mJ4Xr4M44FbdUI0Ut+tBmAycM17UVnCSonShrI89MXnczvrw+iWjuFGPBmlXz4uTFv/BDYqvz0Rcr0U8aPdeqJg+idD1yVZO1zoetxybfUsjE6YSRa9wQMRSykicPKhwPKqr67suatCFUYNFus9/3XlJxzysSBu+llgpZkpqlKi+P43xuK/lq9ghFAgEXi21CL4WmgaBwFfGRdnHvNZxfLRdUIvVHkfHTu4bvps9S+EUkdNooFcIj9p2VKM87FhqieZyJcKJsNUXppLDp99WWgWrHb9ffLFiQMHfr2WUEm/DKxuNAGu5QxAahQMUaQSN3FGJFH07sPAN3lYNZAKIUIkVHcsoERYOF9ZWWgUG4aPNjO3McSnVtHIBI3S7Qua8OGkUlA2kkaZkoB5pphJFs+8DepZT/dzapv3rlqw8S6Ldv1bpUcdyr2WZL2sWy35/mxWhHCnmy4YZ/L62v9o9fRDROGe1juBlWcYnnQVG76/271UEdAoh0dAthOmxb+PwIkkhkBh1bs4EgcDryOTUbMdM5B2RrdwH29YTzXbf7mkSOPznY6zVnvPtfg1kkoOvFiuWUkNmhcWKZrkSkVnH3WZBScPliqFivB6ymzkirbheMyylfqpyo+fOTaPwfNxF4FzworaCkxSlP1gu8aBtaeWW9Z7j412NBVaiPstVzdJAeDpJZ338+terGohYafqOwnDpdjboeF+tGL57KRmJrC9STI8LXX0rrHULVttubEm6fz2LZcWfPuhxt1GglNAs/HtbixW9QriXW9Y6Fq19sTNXMhgN5UjRyEp7rntUV3e1bUdLb4f7NA/iPKRjHlak7XktPEtU3z8BCsd7LWe5QygQCAQCgV8VXuU+5rMIv2tkjr4V2rljrvTse671LA9bjidtSyZeqHR+bR9zqaKdC7MlhRPvCPpsNx8lrc6V/E7K71w6uNn5yVbOk45FKfj5RsFu37LWtTzuOIzy+yYTo+gWQie3iMAPLpdY73pxqqyeNdaHYWBeuoRmLixX/b2M106HCWt3G5btzLHSsqRG2O47GoWjnfnvHw9CVhxQOC94LaUaJ4rlVLOYwkqzIDERb0zt/VkvVw13GjlWYKvrv2+k4E4j50YtGg0t9Kxwp2mJtTAdq7E9aTCTKJ50LVtdRy7CetOQO/hWu+Bq9fRH25exjuA4/05flmV80llguap51LJcqyrut4QZMxQmFfm+4N2+899/OxPem4uPvF4gEDiYWCkauWOr70Y6wC92C2oZTMUQVQyrXYvGn8uHDZmu9dOLVyqG1IxZrQ/RQCY5+IbPHu8cgktlQ88K352NqMbPP9POY6MwCJMB4OVNke0vShMNmz3Lo5ajWTgUit9YjHln2rDaKfh3DzPmSoqSHnReI8WjlmWlZble1ZSN5ptz8bF/YcavX4sV316I2ew5HrctO7lPAf+nywm/e7XMVGIm/r2TFtPDzvKDA1K2h68nQtjsCTuFxaCYGaR3gRcoNzPHFw2fSliLFWmkmI0MG13Hnzzs7ZlWPaqrO26VGXZOD+I8pGMeVqTtt/0ME9UnTYAe57Wc5Q6hQCAQCAR+VXgV+5hfVkjIcVhpFSxVNG7j2bWfm8o+AAAgAElEQVTXepYvd30jveMgBoyGbuHrq3bhD4/TidAq4FJZ0cyEta7lZi0auFdgoyfUYsWn2znVWI2Eq9wK/9edNqsdhwJygYqB1MB2H/o4+koRWcHPBULXCn0r7PQtVoQ7LUc18nVlJlCJoZkJ1dgLgcupwQp7aqfD3Ei7meUn6xnNzPEwdzQzYSryidzN3Afg2MGuSaW9XXur76hEvnEsotjpWVZjxfeXngUDiQjdQvjFoEZPI0UqfnrnFzsF7SJnueLvd7Nv6QymNUe72UTY7lv6VlM2UDaaslI0jONBX/GvvuzwB9fKp/638CLrCCalYzf7jkdty1+vOfTg/PM7V8ovzTI+6SywlBpWWpar9ZgvGl12eo6tvv+3I/hhiIpRGO3vOTXCjoV3Z+IjrxcIBCYjIjhx/PWTjNmSHukAZQ0bOWzmirem4J3piJ3MN3syJ/QGgTSzicYo3yyA04mG+8XK4TPp052Cjn09drAHYTIAvLwpsmFReq1q+IvHPX60muMQpmPNuzMxC2VD5oT/5fMOVoRvzkU8ajs6Tki1wiBUI0UjF362WfDPLicn+oWZVBTXE837ZcPtujmwKB7+vZmS5u+f9vnLx316zlHWmu8sRPzmUokrB3Rhh53lR+3nU7Yj5YvojnX8w3rB5VSx24eldK/FfCtzbPccsyVNzwmLkWat54XUt2ciFsp6z7TqUV3dcatMK3dcP2Sf53lIxzysSNtv+zlsAvQ4r+WsdggFAoFAIPCryMvcx/wyQkKOy92GZbkSsZRqtvuCRVhtWxw+6CUGIqP8IRSItN/NF2k/yReJ0LNQ1poHrYKbA+GqFsFau6BINT9+mvG9xYSpWPGw7fj7p30+2y6ItGC0ZjpRtHKhlQtaQT3WWIE0UiBC10K/sPxkI6dnHUuppmQMU4liq+/3U84WMFeO+fZCPGrEjtdOR7mRPt/JedpzRBp2+kJ9MLEYOcds4u3rXesF2r7zQqVCqFT9/0+14BTcaViedCxv1P2uzHst7wy6XTesdp0PXqlGzJcMt6e8o+lJ2+JEWGk60lgxNajZnQgP235MdbbkbfRDUqPoW6FnX+zfwmnWEQynlP6/xz3uNi21GJ52LPebdpBcLswkmssVzZ8/dtxtWBKjmI4VyTFWWhXip1I/2sr2TGEupopm5vi7tZxKrPY4tG5UNT9ezzFKsdZzaPHe+0rkp3ubmf/ZXq1qtvrwrYV4dJ44D2eCQOB145PtnJ0MaokaPC/9n1+qGBpNRaq9AxAMS2VN6VLMYmp42nN+76RWtDLHctWw3rMvRTR8HYNbgzAZAF7+FNnDtv9A/ufXy899sHcKb90QgUta873FiJ+1YSMTdnO/X+FGPeKDS37BdTP3OxhPwkmL4r2dTsVvXymNugq7meNHaxlfn3ETu7CNzPKobZkpGQ6S/3Yz3ylfaVlirRAUTvzuoMwK2z2hMlhyrhDauS90twdLcPdPqx7V1R0mk9cT310fX6S7n/OQjnnYBOj+lPXDJkDHX8tBdprCypnsEAoEAqfjLCybgUDg/HPWO6GHjctfm0/4D0/7fNFwtAvIBlORRnlhChmGGDxDD4JemrljuWLYzZ41NY2Cxx1L1wpppFgoG+42C77YLeg5Ya6s2e5ZQGgXitxCNVK0Cz+RWYsUXestzduZr5/fSKDZ9hOMyxXNfMlwpQLrvYK7TcdsiT11/fjewUmTOMPn7idbOT9+mmERdvsOrYRhZIoMmsSVWIHyE6LD9yIxXqhc7zgKhNs1Q6yFj7ZydjPHm1MR95s5U4mmnStqkQKlKGsf1LJU1hROuN+yfLpdcKmsKDtF3zo2u8JOX+gWjvmyYbtnqcd6JOzpwb05efEAl+M6qL4+E/HxVsYn2wW5czztWmIl/Gg1Y7UjpAbmyt4B1bXCpztetLTOcbkS8fG28OsLpUPvRUT4+VaGc15U7lnhacfyqOMF3tRAKVK8n8aIeuY4MwgiwrWqH5Z43BG6uT+HOPEW016h2OoL/+RyzA8Wn4m45+FMEAi8Tgw/p27WDUqxJ+NiNvH7gQHqseJJu0Ak4u2ZmNv1iJuF82s7Bs7Ot+L4pYuGr1Nwa3jyBICXO0V2VCG51vVLwuuJYqVZsJQmXE+F6ylcvVwefV2ncDxqF/xvv2ixXI1e6eH0RTryO5kD4UBREvwenWqkeFAI04liKdWsdRy1GJq5QytGgmdJa3Yyy2xiiONnS3D3T6se1tVdSjX3mjlbPXhjKnouKGbIsGs+U9J7urEbG4ZrZcdS5s5ECDhsAnR/yvpBE6DD13KtakbF4iTb16OO39307fnkWbTkAYQCLRA4O87SshkIBM4/Z70TergjrGv9dJ4bCI3WCVZ8yRArRWzAWi+GKRilGmsFA31xD+1C2MocN+oRhfP17UrTp17HSmEAQREraGaORPsJxWoEnQL6ThCBDoK1MF2CRiY48dObs7HCOqFrhZJWfH3GsJsLT3uWuYFFcKfvXT0bPbdnEmf/c7dZOKZKiqddoV346zYLoWZ8yrYVoVv4yUgZ2A6d1ynpW7hW09RiTScX6rHm966W+Gy74Bc7BZ1CKBm4UY/43qLxgT5dx1rHkjthtmS4XY/Yzhz3dgtWe37CZ7pkmC9Dt1Akxjf7t/uW2bJP6XYMfjb6xQNcjjtl9PFWNqrBV1qORibcbRbsZsJiqlFAI/eJ6Vr5YYTdDDa6jmrk9zq+NW2pT9j9NuROs2ClWfD2dMSXjQIzqIG7ueNyquk6P2XaKTJ+41LCdKJpW+Ef13PemDLcnopZrlpKmxlPupbcKWKjmE4U16ua2cTwnYUErX2df5K9/oFAwDP+OXVrcD4dz7iYi4T1TGEKP1FfjZ99XSXS3Kj5gLM/nI1+5TMNwpPnV4yzmCI7qpBcbTuqsUYrX8StdR3jv4Yiwr2W5X6zQOG/5ptz+qUdTve/B4UVHnUs78xEp+zIqyPvwyJoFCJ+InJ5MMG41nU87TqqETDo9vadt8i8N2tI9/2Gjk+rHtbVbRfCVKx9gVGdXPRYEdY6lrKBH61me4SAthbudRWdfbstXxWHTYBWIj1KWZ8uTZ4AHZ8AeNi2h4rMJQN/9rDPVJLzxtTBHwChQAsEzpaztGwGAoHzz1nuhB7fEWYUbPct611HM/P/fTgxmWgG7hZfj6SRFwdzJ1SMd8H0nGNm7L4fdyxzsaZbwLWaYa3r0Eqx0xPKRhMZRckIBZrMusHqGi9OJsaLYhrY6AuJgWoc8a35mE4hfLZTsJ0Lfeub5GmsKCvNbCIoEfrOB8n0HPzGYon35uI9kzj7n7tf7BTMlgxbPYdCUzGOlhW2+tAXyC24oSDJcILS1+ol44VCpRR9LWSDhvLNqYjVtuUPrqXPpXTfrmtu1/fWWbnzduPewCY/FWvuNQtKxqAVmMj/vLZ6/kb6TihrWKr42jDR8JeP+9x5gan7w6aM9g9g3G8UbPYdjdxRMl6U7FihkzusKOZL/twUKaFZCH/zNON7CyU+3cr5YHHyEEczt/x8M2e+rFjrCnMlRebgXtMPDOiBQJ5OwZcNP2V6rR7TyizV2O8TjZQijTT/8s0qIsL91t6VUzuZsNZ13K7rcxmEEQi8Dox/TimluF3360CGTZeyEaYiv3JisaxHjavcybnd9fhVEU7cvyIcNYnyMqfIjiokx8NMahGsdSzXx/77vZYdjEF7wW83c4PAlxc7nB70HnzRyHnatbRz4UZduFUzE0W4g7qwMyXNVt+OrNmTMCgK8fuCSgPL9uVKxGzJW2UKJ+TWF71TieaSUUwliqcdy9+s9kcJ30sVNZpsPaqr+8OrJR607EC4nLz0tmx8d3+psk8I0DCneW635aviqL0+t2oGJ8LPN3Nu1o23w4s8Z62ZThT/6k6XvhV+uctg545hKdWjqdF6bHh/PubnWzmLqaH2miSVBQIXmbO2bAYCgfPPWe6E/mQ7Z6vneNzJWes6OgVMJ4rOYGrQAa0crBOqkb9O2fjpl1bmv0aASAt9q3h3UCc78cEw783G3rKcan66kVOLBk1rpUi0IjUKCzTxKdclI745j9C1fsqtFgtX0ojFSsTNeowTYaPvG9wiXpDrW6jFFq0Vd5qO37saUTaGb87Fz9Vxk567hfjGds8KVhzrmQ+6cRaM8QKtaC9O+iEEmIoVSvnpwK3MMTt4Ns8kmqddy9VqxD+sZ3xz7ngH78w6mrlwpeoP9078vs9k7N+CUopKBFs9R1wo5lJhsay42yy438zpFMK7s/ErmbrfP4Cx2Xf0Ckff+tCijvUhP4n2184cxMZPc6bG4ZzQsc5PUPbcRMv4/WbBckXTt16U1EqxndlBmNKzexcUFQMrbQtKcadRUI+hZHxA0HcuJaSRBhGUKrjf8qnAtVhTjeBRqxhYvIM4EgichkmfU5VIj5ouj3IBhNnllNVOwRc7lo2+O9e7Hr8qzp0wqZT6feC/A74PzAKbwM+B/0lE/u1XeW+vM0dNorzMKbKjCsnxMBMzCGd52FWsZ4pP6XK3WXC9ZsicIdLP7xM87eH0oPdgsytcrkRohHsNL8Lt794OmdSRn4o1V6sRD1t2tFPiub9XVtxrCNdqmsw++/Oy8buGEu0X34K30WjgZxs5l1JNOVKjhO+VpqXr4OOtbFRYHdbV/cacOVC4nC1pfrSWPSdKjnOWQsBRe31qsea/fDMljTT3W3tfy/Wa4UHL8n982WW9Z7mcmsEuKHjYsqw0C27Uo5Ho/EY9YjdzfL5dcGPqZCnsgUDg5XPWls1AIHD+OWz/9H6Gbp7T7KgdCnRPugXbfShrRT0CK4pIW1qFF+Ys0BzUcJdi0AOBLjGKbuGbpYnyje+lihmIksJs4sNZbk/FVCI9atAbvCBUMopaydDOhGqsyNzApj24v2TQKO4UwmzZ+ClN4GdbGasdx6Wypmf99KBR0MgGuzAV/HQj57evlLhWNc8FqFhxZFYwyjdoRYStruNp39J3UB4InUZBWwFjtbsYb2MvZLC/Es1MotjqeZH0ej1ivmx40nHcrHnb+3F/lo87jnqseXsmopFlNHJBDVxF+w1bPesF3Fup8LTn6/ipRFMyjKYzTzvYcNC/pU+2chbGnDuNzFs0DWpgdRfiwYomg9C3UB2Uk5GC3sDa3XPw/aWE7b57rkYvnA9AWu240bliq+sYXlbEi8DbfYfg35u5kiKv+alSKz4JPh0G7CjFrboP3FjrWlY7jtw6ugVBHAkEXoDhCpCtvmO17UbDRMMwqiGVSHO9FjNfjvgXN9Ov8I7PL+dKmFRK/Y/Afw88BP4NsAFcAj4AfgcIwuQpOM4kysucIjuqkFyuah61/FTlo44PjrnkFBXtr1EyvrBZ7zmqRvHrC88XDyc9nB72HgwLRIVirsRg76WeuJdxUkf+9pQhd45oKtqzU2IojLUKX6wslH1SV7Ngz3TlXFmx3nXUtMLh9wCVjSKNFddr0SiNOlJgtObt+smmGA8SLj/ays6VEHCS9LD35/f+3eGun8x6kXn8PZtJfME2LjorpXh/LmGj53h7OnotksoCgYvMWVo2A4HA68Fh+6f3s923RAr++EHvxDtqV1oFu33LR9uWt6Z8cM2jds5W3zeKIwGr/U7FAi9ORgJLJTCxYqfvUApyK8wlhltVTa8QmiLMlDTdQnO9Fo32ig0b9HOpZqNrqScK21fowYRmoWCm5O3bhfh9ju0CllJDyShmyz71+xc7lhs1xWIakQ32YTYzL0ga5QcJ3pmOuNuw7Gb+felZYb1r6Vv4dCdjvqT51rzw7kzMvZalLz64ZTk1fLEjJNp/n1R5ITKXZ/skh/b2rZ5Qib3dOzKaxZTRyqLCecH2alWzm7lj/Sy/bBS8OWW4VYsQET7cyHnahU7fMR0DCnrO30M90UxrYS4WVprebdXIZeIu8uM2249ymX24kfGN2Yjb9RiUdzg96QxSyq0/Iwz/jQ303BGFeEunFT8pu9N3E2v0z3cL1ruFDwkaMFwLBXhRsudIBy6sNpbtzNexft2AXyFwr1Vwq/6syf5skstbSTuFhCZfIHBKxleAzJY01ViPhomGYVTlruJq6p8CIbvgcM7NO6OU+m/wouT/Cvy3IpLt+++v3ejSeUkWPe4kysuaIjuqkFxKDSsty+OOtxTcqhuStv9vmz2hZhRGe+vzWteNPuT3c5LD6WHvwfgEpx6IcMOdK/uZtF9zuB/xRk3v2SmRO58wfqmsECKaOxkf71iuVjSf7xbcrBkqkWa25PcNFSLsZIJzQhxrliuGsnl2LSeCE+FyxRemLzrFeF6FgJOmh42Lzr/c9UXyfrR6XnSOlN9d9LoklQUCF5mztGwGAoHXg8P2T4/Tyi1/v5aROd/sTbQeTatUIn3ktNzdhq9JIwWx1jTyHKWgYiAbTEoifs1NhLfmNhz0ulC1FhRcrfgAg2/MJZRjTTVRXKnEvDcb0c4djzpuJFYtVw0PW5bZRPOwZcmssN51GPUsYCezDqUV1sKlig8qmS8rVjuOilH8w3ZOycBM4o9yiVbMlwzzg6DnVuFYKGs+2S2QgXXYinfg1CJFLYJa5K3Cf/64z+N2gdGKmzXDLxpCPfb7MzMH7dxPAOYyCP3BTy46GImnw8nRegSPOo7lrmWhpIm0YidzfHCpxIO2PfJnaUUonHClYkApbk8lLFUiPtvO+fPHPZrWX9OvADJcKmuerAubuUKXFKIUDnluF/mQ4zTbj3KZzZY0XzYsajCFOF8yiBSUNGz3fEL5EAGG30EGrrPUKHKBN6bMgbV1rJS35Y+d1A1+gME6Ybv/TJR0AhEK6+BS6ocd0kgznSjutyyLg9+D/QSRJBB4MT7ZztnJoJb44SMfgCZsZ46triMXYX1H81ZfmFmyIbvgCM7FO6OUKgH/A7DCBFESQETyM7+xU3LekkWPK0C9rCmyowrJSqRZLGv+/FFGJfaFVHMgTNqBTcOJ0M6F21MRaz3HjcJbVNa6djQmbYBypGhkpSPFucPeg/EJTni293KSnXvSh/j+/Yi36xG369FzIT71SPEfLUT0HDzpWD5cdyylmus1Q8X4PytpKBvN5aoZdZuBkR3o1ljC9otMMTYyx51mTq+QgSj7/C7Gcc6zEDAuOo+LzPvZLzofFeIUCATOjtNYNgOBwMXmqP3TiHCnmfPjpzld6yfPYr13WuVmzU/eHTYtl4twt2GZiTXtwvGk45grabYQChHq2ten8EyolMH/jIYbVcO1esQ7MzH/4mb6XH3fyBwr7d6oLl5KNfebOZt9oVM4djPh/2fvTWIsy878vt93zr33zTFnROQ8VGWRVWSxm2TPrW7aPdpquS3BEryx4IVkLyQLWmmrnSHAECTZC6+8MWAvbNmG0W0baknd7R7YlNkkq8gaWMXKqoqcI2OON9/hnM+Lc19MGREZOUeS7w8kApkRGe++++7w3f/5D61E6OWeioVmHJSTM7EQx8JUYjjXMIAwU4V27lkfei42Dckhq7G+/NOIDEudnJqFj7YcP3cm3hc3FNR1QiOGb6/mXGlZvjSdsFizfKfrWGgYOpmSeUc/L6+9ForSzl4x4f1PWajHodRBCXb25Z6jk3m+OhfjFd6cjmnGcvRnya4z63LTktjdz6ceGb52psJM1bDUcfsKXAqvWIG1DBaj4Dq60jqciBvhuMX2k7jMzjWCQ2pE+l2esNxoG+71HO7Az7oyz11VSZ0SGSFXZW1Q8JcPlM0s5dPtnLN1y1sz8Y545eqE5f9b0RAnUG7GTM2wOvCkziPsqjJTHwpxrGFH7NArHIv1CAOsDBxXDogtxgWPY4zxdBhdKy63LCLweTsn82GRyYhQs1BFyGL4UQ+Gt4b8xvkKrZMMuj+hOC1Xo98kWLb/BeBF5HeALwND4Nuq+q2XuXGPi9PWLPq4SpSnVZE9cpAEEqPUIkMzEoYuDDtlwg3tIqwuLpbk3FbmeGc1pVDBCjsy6dQpa0PPvz5Bc/Rx+2Ck4HSEbbAS7A0HcdxN/LB8xNvdgs/aBbEBRLg+FXOlGdF3yoOB4/N2wVKnIO/AGxMRlyfgh5sFCzXLmUoIqi5KK7jXQEpe2WNNeRIV417SfLXvmakamubhLMZY93cgnWYiYC/pfJBkPoi9pPOjVopPong+LaroMcZ41fE4ls2xymOMMX5ycFz+9PsbGTc7jpmqsJ0aPtkqcKW9eKYqTFQsS2Uo5JVWfKRaLi5nyqkEbndduUAOqFCLQhO1CqTlYu5ojb5hYb5qmKtF/PxClTcm7aHz/cG5uB4FJeGnGwVna6GEZG3o8AiJNUxGEIvjdtcxWzVcbloqBs43LZ3M8KfLGTMVYfaQOSOU9HgW65a+UyKBuz3HhaZ9KAN9J0ooNqjCSt/x2oSyWLNMxEInB9BQflMSbAIMy31Qj8PCdisOC0sVG7LWZqsRjTgUOA6KmJ85E2aiR2WJj5xZfiriRnv3ftAvPA8Gjvs9x8bQcWO7YLoinGtYCgfTMSwNoJl7rrQirjyCbDtusf0kLrOFmuFWB1BlZeBYqFkuNi39wrOehu2tRwbRkBUqEnImRaCbOToI55uWQkNxUC/3fLgV3uNi3fLWdMzFhmW2amjnofwGYDoxPOg72pmnUs7kOwS5hIzJqhXO1Ayftx0TcTie7vc9V1q72z8ueBxjjKfHDzcz7vYKPtsOvMFSp2Cl71moC5OxxRCum7mnLL0NnMeHm/k4PuEInJbJ/mfLr0PgHQIpuQMR+VPgb6rq6kl/4SeffPJMfuZx0S3gzzcNsxEsH8PjeIU/egDZtOd5L1atrVl6RjlJZF7uYeiFT4qDa36Ph1ih2RPeeyBYoGXZGT46Dt5rW96oeeatst4Vtn0gx4phGw+crUDUhbUu3BrArYFhPlFUAnk4GSsG5VINsjXlD+8LN+ue683dQaNbwP2hcGdo+H5bqBlYrCiziXLQ4VEdCJ+lwmQUtiPzyt09FnKvsJYLr9c9D5zy4JD3nACvla/5Qc/wXscwFSmt8jXjbbi7vfuzXwCuN2C9gL+ShONAty1uAHfb7AzXZxKYS5RkG+5t776eKmwWwifZyT+rT7rCjb5hLlamUmFpOygL2nlogxSFT0R5oym81lDu3rkDwEYegsU/yU6favL2qmU6UkSCxWi1a0jtrnVmL1Sh65TbmbJewNWh55P1h3/mRk/4tB+I8NGx21P403tBKXGtGl7vuJ95raa83tBHldw/Fp7HNWuMJ8f483h2yAu4s2kYRA+XG+yFV448d38cP4/r16+/7E0YY4yXiqPyp135543JiG8up0FpGJkdUnF14Hkw8JypGZY6umNnPWxR9+qExSsUHtYHnpqRUKoiULcGZ5WhU3IXCm+kzFmctEpkDW9MR9QiITKG+ZryvbWcTh6UM6NFyysty5Wm4VYvRBSlhee1iaBuy33IojxXN+Qe1gYeL4YvTQtVC1cmYhbqhsnE8nNnLJlT3tvI6RTQjNl5zwPn8cBiPSzsf7CRh0ZrhcQ8/BAwUtd5De6oXuHZyjyLNbtj1a7Z0H6d+aCW9BpKccK+CTPkVupDBFMSSExFWR166rFwtr5LSJ40S7ydeT7eLnDec7vnuNlxO8KE1ydLVWvP8f56Tmzhp2x4bvjaXMJE8ujFreMW20/iMqtHhkutiE+3c+72HFdaMV+YimlnSl4oK2mwvxcemrEykYTPbCMNM/R8zXCtFdEvlDM1w1TF4gj7cSLxO+T2Ly8k/C+fDmglQiyBdFyoW251HFOJogiDIrSgR0aYLn9PxQhfmY0YutBwXqiipdhhXPA4xhhH4ySCk5HI5/9cGtCIDBNxeBY0EhYterkydI5WZIisMB0rF6sQGctC3b6QQtlXFaeFmJwvv/4j4EPgV4B3gavAPwV+C/iXhAKcU437w0DEPUpcZkqC7f5Q9pFpzwMXqp6lgTBzguO/4+BKzT/1a4rA9aZytqrcHwp3h4a8tOldqXlS71lMyqEvUi6W5VQDp7zXMTu2hXtDuNELG16xIVfGA+uZ0PfCQiUEjs/FyqcD4WxVadiDxJJypQr3UljOhHuZcC5Rztd0h7wahdLey4J95kptt0GwU9p2Xq97Xm8c/1k1I8rP02ONMvOIe/7B46AZQc0oF+uP3scntT2O0C3g04EwF4f3nXq4OTA0rFKRQJZ6CcT0t7cE8FyrK0p4/2erp4+UhF3COxaoWTiXKHdLkvng7nGEB4/3O4aKUb61aYkknCNnq2H/3+jtkrd7z+NYYMaEofybWxZU+XLr6J+50Q9H6/M+v8cY48cBzSiQ+YedeyPsXSAau8/GGOMnCwfzp9/fyLjfdzwYeKoRtCKz45qxQigUVGW176lHsmNnPUwtd6kZcakZca/vKBSqsttGHX5fUFrWo5AYaA00UaYs9L2y3HMsdQrenIzxArc7jo82MxqRIdBHwucdYapi+MJkzL1ejlOhEQuXI0NkFOfDa8RGWDi/G62zOnR8YTLap7D5vOOox8KN7SKQtKVFfL5mmU4MlXLDHUonV6wJhTkHUbXBVv6gH2ZpK7A+DM8AuQ9W7anY0M4NtUiYSoTlgceKJ3Uhc7JqpdxPGghVoJp6fnEh4e3pBBV5yM30qCzxkcL0D24P6eSemaplL93YjAyvTQhTldDe/boP25ye8PHlONX9SV1mV5oWVeWDzZzVoeN83eLnYobOs5Yqs1VhIjY471kfKqupoxUFy/tMJSgftzIl97AxzHcUvrd7nq/PBfLiN89X+NWzjj+8mwJK5kOW59Apd/qhoftsPcQYzVUNQ6f0XYjBGjm07vYcN7Zz3lnL2EiVmapwthahQCdXJpLT6YYaY4wXiceJ4Rs5YxuRMF0JdVSrqSc2hmYiTKnSzZX5uuFsPWI1rDOUsRMvplD2VcVpGe1Hd8sC+F1VXSr//p6I/A3gY+AbIvKLJ7V1H6cyGKkqnocS4aOlAV+cF+IT2F7nyza06xhfXHcAACAASURBVM+5Mn4h8/TvDJmrHp2XAkHaHw09f+VC9Zmy+F897LWWBjTi3f00Uua9fvkCtlOw1C5IvefBMCeqeDIPm8aGYTOCqgjXmhZvDUXLcqUVUx06ksmIHOjagrcXdt/vfOFJVzKmkhCMvZV6ipZlvhZWi5d7jqKpTHolzpWzMwmVRGgZ4Wst+9gtzSc5DoI1xbPVLfiLTHFxhflFT7+A8yd46l4dOr42GXH9hBe29zcyLlSDNebzToEzBW/XPSuljWfvu7u7vsWPeobzZ+eoR4Zfm45O7QU0nc32WUDPq7LUDdk/BmjGBivhhvD+ZkYh8NpcwpemYyITbjrbmedThUsNQ884vrJgjzxX+oWnupICMDtfOTLH6JyGqIGFZ3A+Pc9r1hiPj/Hn8XzwejkYHmfz+/VDYjvGn8cYLxoi8uvAfwX8IjANrAPvAf+tqv4/L3PbflLw4UbBZuqZrRge9A0eOKiVMyI0Y2jnylInKNsOU8tNJIbfvljlv3u/i6jHq91XWgKQuWDLrdqQ+5d7+DwTjPVMVwoSa1jpF/yo7ejmnsjAaxNx+D0CtgeFKn9+LwVRrjRjLjTtTkHPUThK4dnJHbM1y2RiHnrfI1iEfgETcbABH4ZRnvlG6ug66OVBwTlXDa/rVZmIDYmB1aFnUIT3NpUISGiAHviwnx3CZCy8NhHzy4s1VJW1k7KFB3ChEVSbItDJwsKxleAm2sg8G6mSAILn99cNvzTlIVemK48u1zkuW/GkecciwsVmRC0yO7n8rYrlNy/UuD5R8MFmzlbq6XuhESsLjZi6heWB57N2TqbCxYZlKpF9Ct+6FVYHhmZiud11vDYR8cFmzmftgtQFkcZ8VegWgRDpZMpMKxAp5xrheKqVx1PdBlv/mWp4jnl7dveeupdsudCw3O65cSzRGD+xOGkMXy/33Op55muGpbbZ6TXYGPgdN+bovnOn58g83OuFRZyGFFxo5sxUXlyh7KuG00JMbpVf39lDSgKgqn0R+QPg7wA/B5zqvMnT2Cx6kszHF503clye2JWmZZg7fu9mzsrAI6LMVgyJKEOvLA+Fybi00expnJtKDB9shgfag+9zZLtYahfMVML/+85KxkQi1CIb1DcirA+VC01LIw62ksNyK08i8z7uONhbimNFaESCqtKIheW+8s5aCM+91oqOzMx8ktDqkT2lX3hudQpmKoKRCCOO5UEg8Wo22KASI3QL5YONnL91rXaq7R4PlS2VLYmBdHYs9z2FV9YGjsLDf3S5xpna7n7be9P5s+WMxMBi/ej9+mDgicQAemig+AjjVbExxng8nNTmN8YYLxMi8t8QHD53gN8D1gg56V8nOHvGxORj4knymu8PCmIRjMhOKchhI5ERIRJlfRBib45Sy/3756t8uJnxP3/i2MocSlBcCoEMcwpVowwcGJTCCQLM10OBzHbmudMt6Ocej5TqvZzzjYjMK5upogqNKCjfXpuIHyroOSz75eCzQjvz9HLP91Zzlvs5y/2QFTmZGBbrhumKpVoqJicqgZh6eybZ+beDSD1Q7sfce25sF8xWDQt1y9WWZeCgnToERVEM4DxEEXgfFH9n6paGNUxXQ97kdhYWceOyXOekaGeeDzdzvrua8oO1nM1cWagaZqtKWwMRt5EG4nS6YpmtBLXmphE+6Rlmqo7VgeOrczHRIdb1kzzrPG7e8ZfKhfu96k9V5feW+vzp/YzpiuFOt6Bq4YONnF6hJMYwkxhUlc1MmamYHYXvVqb8YL3gr16O+bP7Q2ZrEb+0WOXrZ5QHA8+DfiC+lzoF5xqWSIQ3piKutB6e0z/r5NzsOH79QoVWvPt+RnNv4T1/cHuIAFcmopde1jrGGC8DJym8GpWnffNBxkLNYMXu6zVwKIbd3NfNTLnf9/QLpW4E54LN+275/D8ZG1Sr4/PqAE4LMflx+XXriO9vll+fr7TwGeC0NoueNHD6RRFQxzV3iwjrmdKIDM3Yk/pwQXAIM1XDRKmAC6Ql1CLDysBxuRlxv19wqWxfPIhRccytTsHaIIRMN2NLMxa6ebCfvD4Z7A8OHgowfxyZ93HHwVLXlQRpGAQLhdgaYiNcbMbkXvn+eiihf23i4c/jSUnkEVl6p2wLG4WgL5ak7mbm2Rj6QHr6sML+1bmYRmxO9YXzKOK9HhmutgxXW9DNHX941/ONc9V9pOReWBFyH2xPo+Dyw7DccyWR/XCg+EE8SUHRGGP8pONRNr8xxnhZEJH/gkBK/o/Af6mq2YHvn95VvFOIx5mrDs4h60MNqj12S0G88lDBC4RZu1PosYu6IsLf+1ILI8L/8MMeeWkPrhghicDkSjcHpLR5aYj8mUgsuYfce1YHHkfIFWzGgZy81S0YFDBTNdQsbGRhhotMyrl6xFRV+HgrEI8jcmnkqFnuOYZOccD1iYxB4VnqhMXkoQs04Xxd2Rh6tjPPdmaYShxzNUvNQjeHt6YjpipHzDMDx3LfIYTr7pmqcKvrOVM1IDBXDU3gHxeeBz1PzQouDkUPmYNMFXEwlShYBRV6RSDaVgaORmwOJYEPEtER4FE+2szZSDW01gosVIXUKx9te2JxWPFkXpiMDR6lUCEyQstC5oWfnov53lrO99dzLrWiJ3rWOe75ZC+OO5Y6uZKr8OsXKqwNlRvtnMzDdgZnqkIjsURGUGAjczTjQOAaESaT8LlspY6lruPNmQQrQj2ScqYNr/d56S6brOwKNPbOrd3c8d5GwduzofTp807Oci/kTUYiLDYMaaF0cl/Gau26vF5WWesYY7wMnKTwCsL314aeyfK+s788V3ZU+xupZ2PomIjDIo4hlKfNVcOiUeqV+wM/LsE5BKeFmPxDAsH8logYVT2o+x+V4Xz+Yjfr8XFam0VPmxLlIJm0F/3C88PNnPm60CkMF6uGM4fsz2Yc1GuvT1ru9z3nG7CRKm8fEaYpIlxtRbRi4Y/vpUwmwt2eMllRLjb32x8sQXW5N6D2JDLv76zm3NjOudNz3O45ZhLLYsPSioVO7rnZdny8ndOKhFxDFtDQhdcf4Vo5mL6/kRMb4WzdPhMSeUSW3mwXDJznbldxKJagNqhbgaphY+DJgbQQBk5fiQvno4j3m+2CS03Ltdbx55svyeTjlJDFjjIz2MOPw4tSRY8xxhhjjPF8ISIV4L8GbnEIKQmgqvkL37BXGCe1z8HDxMhsJbQZV63dKQVZ7jla8cPkZOo9zcg8clHXGMPf+/IENSv875/3WRn4oI70QsUaPJ6qhczBsIB6BFtDTwF0svDo0rAwdCFGBoVeobQSYbVUbNZsyKJfG3iuNEPZjiv//1xFWE3ZcdQ0o0ACXmhY/t97Q5Y6jtmqkDv4wlTEyjAo6GqRIXMhPka9ZyNTXm9F/O03Gqj3/K+fDWklQYk6woiUrEdCL1cW6oaqEcCRewWFe33Hubrl7emYO50CRZhMhK3MEQlMWoMY4UzN4gkqoYHzvD0dVILXp5J9xN1RRPSNdsE376f0C8+1yZiZquVuzxMb6BZKP/dloYRyfdJSjQxrAxdarMuingKwxvC1Mwm3ugXn64bVoT72s86zcJnd6hZkTukXYTEbgkW+HkMtDkU1EKICBOjuad4GIRL4YDMjMXIkWbJXbLGZOv5yZUhsDKmD1CuFU+argkH5y5VspzzISigs+my74Eftgmstuy+DdS9GKrFxWccYP844SeHVCBUjrA481yeDAOZy07LUcUxVDetDT2KUzTRcVyGUhvVcKLEdqdYHRbh+j8+rh3EqiElVvSkivw/8LvAPgX8++p6I/Bbw2wQ15b96OVt4cjyLlbbnidOkRNlLJm3kodlYNQQ194twAl9uWvQIXsdIuOG2M0c9MmxlntlEdopzjkInVxZrlskkYjvz/OJC5dCfS51yt1fwP/2ox2TF8MFGzhtTltTJzgVnBFXlVtex1M3p58rXzyRspJ7YKO+spjwYeBaqhmoEzUh2hqrb3QLnA8F1u+t2VjEX6xGxERoR9IvHH6wOw5VWGGw/3s5DyU5kMRKsIze2wir1dEVYrFsMynQCD3qOH+UFb03Hp9rK0clDSY/3cHdQ8P1hGPLONSxvTccUDuZqj1Z+RiJEVo5VQkblUAfsDJdH4UWqoscYY4wxxniu+E2CZftfAF5EfoewcD4Evn3SDPRXBU9ir37c339S+9xhD3Bn65YPt3ypVtnNSnzQdxgJZXiGQFh1cqUZn2xRt515vn4m5rNOwr9bydgcehpRcJE8GAZFoAi0Epi04FXp58qggMgAxqDOMyyU3CtDD32nOwufE0koSNgulWrN2OA12HT/zZ0hU5Vox1HjAJXQtnyvn7NQF95dK7jaCjnYZ8uymwcDx+1ueN+bOXxxUpiqCOcblnP1hOWB58+WQ856UHh67vZC03W/CCUNiREuT8RUbIiq6eShxOXzjuOLUzHXpyKEsChrulA4JTaCJ5TbhE/Gc65m2UyV9bTgd6/U931mhxHR/cKz1C4QoyzULSvl52cF1lLPduppRIIrc/nXhspEElxVHljuO2wKI52HFaEZG5qx4ecXnmxR/WlcZqrKn95LWRk6EmNoRnChbvneWtjfd/ue2Qo7+6ViQgv5TKlqHTjPuYblw42C37x4tFFQRLjStKRFOE8/3iqYrhqMwkxFaGfKZgZ3ep7XJ6N98VKRhOfQZiSsDDxz1aMdQONYojF+3PE4MXwVG/iBEa6UPM4n2wXd3O8sNijCwDlyL1xIlDPlqeNV8aqcrVt6hY7PqwM4FcRkib9P6En5Z+Ww9w6hlfuvE8p0/66qbr/E7TsRTmOe42nFXhXnn28rd4eGtdRzs+u4WDecKy3ZH23leNVD7Tk1G3Ihm62gdlus20da6UdWXKdHEEuj8pSOQ1WJTGhOrEfC/Z7nTi9joRpaD5f7wRaxMfCkqlxuWmIRUqdcaUX85UoWhr6aoZeHwXOhXN0dlG15VSMMnTIbG9aHjh9uZeQ+WGiuT0b87Tdqz+Q4GVmAGrFQM6MWRdjOlIFTpirCoFC2Mo8izMQaSnHM6bVyHFx9n6sZFuvJTqHN6N5hjT6SsAZYbFjudIqH67wP/kzXAX6f0vUwvEhV9BhjvGp43sTHGGM8Y/xs+XVImFG/vPebIvKnwN9U1dWT/sJRcdPj4kn/30nQyeHbm4Z3O5bcB0LNAFWrIDAVw1cnPF+Z0MMiEU+MT7rCykAoTmD+2Mjhz7eV683dB8JmV/Btw2ebwmQUbtsRcMbDdgFreSCSUi8sJp5fSjzJ+jo31g9/DVW40RM+7Yf56A0LU034vweWlX4okYkl5ErOxCCiZAqSZ1RUWC2gJpDmQSHXLoJF2isMXNi+oYJ3BU0DrlDubWQ0bKmcc/DvNoRvzHhuKtwdCrcGQs0qf74k1K0yFSl4+GwgaF2pGFjNYD0TjCjzRkgB11eW+sp/v73BL095vlhX8lh4Z9twPxc2MljPwsKpQVmzwms1pcg9kgsrGTStsAg0FKo9ZboQ7gzgRj/EKXmF3EEtgnQQ3lvFQNuE7aoY+PCzLb75saHQ8Fk8SOFaTfF7xqLbA+HztrCWC71c6Pvws61IGThhvgJt4F4anDzdYUa7B/MVpWkDgXkvg6QG/8f799jKoZOHUp5fmPa83vCcreqh+aPHIQFeK+D+UPh0aMjLZ4vzVc+5qpKsc+ix9ElXeHc54mxFySVkkXkP/b6hJtB1wkoK/ThsP4Sczy0XFtj7HqYqymbHwGabu53Dt2/g4N1tw3e2QxGOB6h5zlWURGG1K2xlQjNWXFeZP6DBWOoFIYcR+KwNZxLlUn54UVHu4S+WhWTOnWjfPc/r0xiPh/Fn8WisrVl6RjmJ5sf3hJVUuKu7J38MXHUw8IZvbYbIjqGAFeVidZeUfLCyRruA81Vlc1kf+7w67XgWBZSn5olZVe+IyNeBf0xQTv4q4V70+8A/UdVvv8ztexyctjzH046JxHC9qVxvOq5frQN9OpnhXs/TSI635xiBTu5ITMSbUxEKj7TSj6y42/nhxNJSaXWfqhiMKtu58qDvmYgFa4R7fccf30tZrBmuTMTkHrZyjxXlR21lrmK434OvzMaUXSwMy+HtVtczlQjrg2D/OV828n3Szrnfd1SMMBWHbJ/tzPPuWsZCffjU4dPtLLSIvT0b852VjL7ztIwl88pGFmxAQnjwuN/zXImUxEC3gAvN6NRaOU5qA1sbeKYr9pHZrws1w+dtpXKMynGhZljqBLfefO3o4+xlqaLHGOO042ly5cYY4yVivvz6j4APgV8B3iUsov9T4LeAf0kowHnlMCLmvrlpWBkKVpSeC+o5BXpemI6DnfZfrUaspY5fO+OfmJy8MzS07MmiTloW7g4N15u7D3Bnq8qZitIsYDkPir26gcQE4rBqwQOLsacWKdcax7/WjZ5wo2+Yi5XRCOCN8PVpTyzC99vQKwxbRVBLVAVaMWxk4dqVe8iB2ITvjRY4VYOi0wJeoFeAWKUVKXOJsp4JIkqnEIYF/PGaoe2C5mYqBu+FdSd4FTIPixXPYgXaYb2YtUxKcjO8YNVCtxCu1EOT+I2+ATw/Nalcqzu+vWn4v1Yi6tZTt8p0HEhAh/J+1zAbK84L3oQZ2xXwb9qGtUzoFIAKdRveTy5KXkDNwHQcCMm6hS0H3Qz+aN3yi5Oe2MLNgbCewcAZzlWU89VAdH/UET7qCk4l7DsjDB2spdBxwloW9qlqeB0hNKJ3CtjOw3ZsF4JVTzUKNvm6hY5TPu0Lq7nhTKK8Xldebzwemd6M2Hk+OQm6BXw6ECajcM6MUDEwESu9QmgYpecDCVsz4VgLZ1mwfM7GSl+D9fMwokSBO33h3bbwYdeABneV90rqhY/7QjMN4ofEQOaEpQFMlp/PCA7KVvOAwTFvMZLQKjzGGD+OuFD1LA2EI5Lg9qFilcmYMs94999rFr425VnLw/ULFK/CTBz4n4EPfz9fLa99jM+rw3CqnpjLVeZ/UP55ZXHa8hxfBXTLVcmPlgZ8dyUjsrA59ERWjrTneKCde9ICfnmxwlvTMZ1cH2mlj0TIwqLzQ8RSvwiKzamKwRIuJrEJpShWhOWBY6XvmK8Zuk4pvLKVhqydZhwydlYHnkGhLDYsizVLxQqbmWezzCFaGXqsCG9MWSrWsJ46OllYOW3uOS5aiWErUxrRw0U8j4tRsO+1VkTq4E/uDVE8qVNEQX1oPFcCkR77cNH1qmX72OmzcjyODexut2C57x5JEtYjw1TF4DxHHkMVKzTLLNLKES2XY1X0GGMcjafJlRtjjJeI0cW8AH5XVZfKv78nIn+DUOT4DRH5xZPauh9XYTBSvzwLZcJBxfJyr2BLFZqe+UaYZc7Fu0V5ntDw3KhbLlUNN7qOr07W+fkj4nAehfeiPnOVk5XrqSprqS8Xr3eRbGR8sFnwdgyrQx9cLF6pGeF63XCmamjn7DQnH7cvvn9nyFcW9l+Tbi2nXLTBXbMd50Q2WIcrxtDvdljNhA4xkfHUbCCWRIJaxvhg7Y6iMCuICKqKcUpm4NpkzFvnawwKz412wY3VjB6enofFRlAZiggpobTHoqQePhtahkZImjGJMZxryr5FewV6hWdxOmY7V76yWGFt6Fm4UCXrFsxUCn6hmjFdsaQu5KFtDBWnYES5L0JrQljPPZ+3c252HamHyw1DNlAqNpCw22V25hsTlqEP5ZSzFcta6un1HG+0DD0nMFPlQivi9nLKWzNBobmRKvlEhKCsrvWxsWM6Dvuo5xSfK7l6KhIKfPLA04YiCQuFFwaFkDrP0MOkFGwWlp9ZaJWt4UpL4fpUxEaqTLQs3ciQP+I4eFq8v5FxoVowmfudtt4RvlIvuNEuGBSKLTzdXMkiQ9UKExEUkaECdBQqEVyetGzWLV+YiveV2ix1cj7tpyyTk4mjGhn6wHRdmK5arAnZq92+o5UI81XLZqa4esyZPTnrKzYnMWCNYDLPRGI4f2H/+TVC7pVWoVy/fHwH7bO8Po3xdBh/FifHQubp3xkyVz36eRLCs1009Pxyw5aFUw///JtRisdzt+epGqFVNWxvrLOYwNtXF/edyyc9r36ScKqIyR83nKY8x9OKkXLmzzeCNeSL84Gwu9UJWSzvrGZcnbCcK3N0dgg+1ZDhoPCfXKvtDMYTiTzSSj9fD3mRX5mNH2pefjBwOyvbMFIMBsVmr1Ae9B2tclA3BNvzxlCplQSVAeqxsJEpN9uOyUpQy56tWc7WLBOJ8MPNgrmSsMycsjlUJmNDJ1dmq7vb0s0VVeUP76RMVYR31zL+4yueN6eTxya7RsG+IsJb0zEG5QcbOfe7BcaEAXiqEhrPjcDqRlih/mor2tlHp61h+nFa1BbqoSHyXMM+8qZzrh6spLd77kjF829dqADCR9tjVfQYYzwOnjZXbowxXiK2yq/v7CElAVDVvoj8AfB3gJ8DTm3e5GGK5cwpK0PPZupZ7jtQOFc3+wgvQ1g8XR44phLDVCJ8aznlzen4ic7RUSHfo5wMcHRe816HUjM2/MyZaN+9uFuc7F581DxR7FmgnKkZVgehRKdbWl5jgVYEuTck1tMvVWdSEmipC7FBVaNQEpNOgqJytpSvbWUe56ERGdLCU4kMiARbdK50Mk+vCEpIY4QY5W5P6RcZX5xOmIj3P8p5ZafgJC7LU4zADzdzbvfCw/Tn28LdXsHa0GMIsUhGAvF3b1Dwg/Uw/2wMParBqrg2VNpZkPfUo2Ch7uXKj9rBUbQ29JxvONaHcLFlywxIz61OwULN7OxLQZipwI2tnNQHO2PVhizNvgtFN16D08gSvpe7khhX8AU0ImXGhs+5aoJqNPOwkTpmE8N27qnYMG/n6rnRzvmlhQrfW9Pnek8Zzdr1SPa09QbMVC0TQ89cNShv1wee7fI4apXN7gs1w2I9uJm+MBXz3dWMrcxztRVxpRnRKzx/cT/ls07B1tBTMYH8Vh9Urg8GjlZsaJYnVSdTphOlYpTbvYLLe4jJmWoo8aiX6t7GMSfiOJZojB9njGL4vrOaoygr/b3t9ZaFWohvGwlO3pqOacb5oc7YSgT3esrPzle40rSICHfd6Lq5/7ozPq8exnhvjPFSMVLOzMZBEh0bYbEecbvnuTYR0Ygdn7UdvUy5NhmzWLOcqVq6ebhoTESG//DS/pWGR1nprQjn65aLjYdtuMs9T6NULY4CahfK1vDvrWaBkCyH1JoNDVzugJw7dTCdCOupY6a6/yI0WzG0c88lY4DQ1G0krFhmbjfb5f6g4GY7tHqtDTxXWhFW4E/up9zu+ce2OR4M9v3CVEwlMmymnmYkO0Op15BF2XXCT1f9TusfnL6G6cdpUVusR2ynGSsDf4Ls15gvzSS8WapJjlM8X2qNVdFjvFy8ajmNj7OgcNpU2mP8xOPj8uvWEd/fLL+eavnDYYrlOz1PxQiFg0SU1RTqsTJ7QAxpyj9bmWeualkpS/ye5By9OmEfGb0zwlEPcM/KoXTUPDEqu4uEUDLTdzQToZPDSmawEpwmgmJNeCgVDZZtCAReJ4e+gQpKUZJwszWLKfPFHww89TiU6kQ2EGyJBlIw9aEFFhvUktaE3yEEG/N2rtTT3eIUCOUp8zW7s7AOYQ7+7mrK2UbIbvei3OoEknIv+bxdeFIH9Ui43XVULAyyoMIcurANqjDw4TioRaFNvB4Z+oXy3poSR4I1ivehPduI8GDg9+1LI0I792wOHJOJUGgocRnkukNKGgVrILJhe4s82I8FGHpoZ0otCvNzDPQdfH89p2YgV+FS07BYs7Qig6rno82CpCwx+t0r9ecSEzKateO9bb2lA6tqhYWa4UHfM50YppLQEv/2TESuwlQlENNLHUfFCje2Cwof3GLDIszed3oFd3qOuhVWCDmahYd6bKhFBlUt2+ENiRWcKptpKAbdzvbP79MVy3Lf0c6U+Xq08+xzEONYojF+3KGqqMLG0LE8cDQi2bkf3OoUvL/hOVe3/Mb5ys6z91H3nV+Yr/DJdsGFkpQ8CuPz6nCM98YYLw17lTPLe87d+p4b+kI9Yiox3Oo5tjOPlWCpOd8IK8o/M5cwWdk/1J5kUL3VKcrBfL9dd7Si6zVYTa5MBMXgQi2sxE4nu8FBRnbtvmGFepfMPNeI+Hiz2BnCRoiN0LDC3b5DvePB0BMJNLwpM3SUz7oFNzue2aownQipD7kw3cLzwUYYON/fCBmHJ30YOKhMEBGutiK+MBkzcJ7tTHEuDIEzFUut7rlQ030X1dPWMP04LWqRwHzd8sWp6MTZrydRPI9V0WO8LLyqOY2Ps6Bw2lTaY/zE4w8JHM1bImJU9WBTxKgM5/MXu1knx1GK5dGirKOgXwgTSSA0WrF56L4/WpRdqFkSwxOfo5ea0SOjd+BkD3BPey8+ap4Yld1NJSWxVLfc7zkUpRF5VlKhXoG+D3NjKwp27qhU8lkDFRdIs0pZrjBTs1xuRqFBOw0Sy36hGPFkHlClmwelZcWG5MjYQuqViJAjkAPOBXJwI3M0YyExgicoCyfiQHqOFtYjgbs9zxenDf3CM8ihGsPewMWRg6ceCVtpUCl2cqBUAVWsEBtlkAdiUgUGZVfgg75nuiIkkXCmahgUws2OY7EO3arjQS/EG+21Nw8LZT2Dy01DN3dsubDQn3kwJdErhOzEwrGjPozLHNFcIS4JSkeYb4e5pw9cahpUhbs9z3RVmIyEXJUr9YhvPch5fTJ/Lgtee2ftUVvvza7bURsv1CxO4VbX4RVmkmDnbMTCp1sFK0PHfM1yqWnDs0Fk+bwDSx3H3V7BIA/HVCAkQz5lPREapRJLRKhY6OSeRmTo5I7ICAMPaRH+j5VwbA1deN7yQC1SztYfvi+PY4nG+EnAh5s5H24VfPVMQuqUBwO3EwuSWOFLzQgkRE3snaePuu80YxmXID8hxsTkGC8NxylnDt7Qz1TCjfpiM9ohkUYP3UfhaPUCKgAAIABJREFUuEH1KFUl5Sq1CFyZiHYUg/XIMJOEZu1WEhrCR3aZmcquHaKTh+GrERlaSch5GQ1hCnzWcYhoCO/W0NRno5DxU7PC+5sZa0NlsRZWUz1hxd4aYSI2dArPrY7jUss+ls3xKGXC5QnL3S5caOz+jq1Mmake/A3PX3L+uMqvx7WBVawZZ7+O8WODVzWn8XEXFJ5Wpf2qKUrHOL1Q1Zsi8vuEgsZ/CPzz0fdE5LeA3yaoKf/Vy9nCR+NRlmVLUFklIghKJ/fMHlj8HS3KjoizJz1HR/a50/AAd9Q8sVAz3OoUZdFByDx3Hm52HAnKZCTUKpbUFwx9KEs5Vw9lgh4JD7bi2UjDHDJfNZyrW5xXbnc9N7YLYgNXWhF1K2ynnsQEggnZLSYxIlSskrlAzOVFUC52MsdszdLNlamK0M2DK6RfsLOwDpR5leGaeqNT0M6Vfq7c6ebUI2EyEXIXiC4RYSv1ZEDmoGIDKSvlPnISSMOoJLicBrfNdMXyYOiwIlSN0i1gsmJYHTgGhfKVuWSfvVlRnFeqVjhTM9zvB+eQErYhsYGQTF1QBUJ4zZoNpGhalAStD9tgDWQaPoPEGKpRsM5vDD1aEarWEhuhGfPcYkL2zdoiXGnFzNfsPqJjqmK50orYSh2dXOm5cJ9yKF+b2x8xFQu8MRlxoWH41oOUtaGnbg02Cs8tgj5kD5Xy3BWCCqwWhdgFJLR/516JjXChafnaXMTywPPBRo6V8L1xLNEYzxOnbSY7uFhXj4SrLcPV1v6fc6onvm4c5BhyXxbdeB2fV4/AmJgc46XhWOXMgRv6na7jk+2C2ap9JiTSUarKqUoYvA6GTQOcrVu2M89a6jGEBsPFmqUVB1VPocrZRhQGV4W5qsGxu8p7r1+w0ne8MRlKehIjDIucoQ+kZdUKy0PPZAxT5YNA6pSpch95wrA1UxHudB1XJ+TEFqrpimGpXfDxZr5Ddi42DK3Y4NgdFEeKz9lk/4PG85ScP6ny60ltYGOV4xivOl7lnMZnkSt3EryqitIxTj3+PvBV4J+JyO8A7xBauf864Xb/d1V1+yVu37F4lGV5pmZY6goVgoW4kz1s5x4tynZzz2L9YUXl4+BR0Tsv6gHuqHmiHhkutSKW2gUzlUAQNmPhjUnL7XUhlqCCnK1GnKkpmQvElyW0IvcLITWCwzFbtVxrGR4MQ7P5XMXQjIS5argubWaBiFSE3Hms7P+cEoFCwrxYsaAetlJlvgbL/QIxlomyTOVSK2K+KnzeyVnueTYzx9bQ8yf3B7y3XqClrdx5z3JfWR8IQw8zFSG2hl4R2rYjG9xAo2tkUXZNjxrIYbdNOnUeg+DR0uqt3OwUVKyw1HW8OR0zXzU8GHimKgYhLLoH5aBhumLo58FKXrWK84EY7Zcz8kg52kgM3ofiy2H5jZhwXDYiCQpBB5OE7a5HsDlUFhqBTE+seW4xIYepgOuReYjocKqsDS3eK/VYeHct53Kyv8RoL+qRYbZq2Eo955qWiUioxZ7P2gWq+tA9LDZC6oNKM3WezFu+ca760HnkVKlH8Leu1ajHZrxgP8Zzw2mdyZ5HvNBBjuFby0GM1Cp0fF49AmNicoyXhpMoZ0Y39CvNiLXU89eecXPVQZKqnXn+9Z3hoW3LZ5sRruuYq1nWU8ednsOUsu4vzcT0cmWhGlbKu7nfCZkOeTHK523H1QnLbNWyvZUTGTjbsCwPPK/VLaphJaVQ2bFbqCqt8gl+4OBMmQdkJJCWj7JQ7b0RWAODTJmrGhThbjdQkhHK5jAU9WyX9vVkz2PV81YsPKny61nawMYY41XCq5zT+Cxy5U6CV1VROsbphqreEZGvA/+YoJz8VaAN/D7wT1T12y9z+x6Foy3Lhrtdx3RiqEdKWoScQXfQrE7IMJyrBkdH1QpXW48+l4/Cs8qIfFocN0+MnDO3OgWgFGX2+KoNJSytmmWhbplKhPc3AlHUzYMFsBaFUpFYLLnC0AvnGoFEe2sq5pPtgkwD6fbGpOU7q55KpAwLAGXvni00EMgzNWFYKJMoQx+yH2MjXG3GXGpFLFQNK0PHd1bDfaIWBRWQrRr+7H7G+sAzUxFma5ZaFDFZxvmspQVpIXgfGPaaDduVE2bJzEM3C9tu2M17VIIS76PNkJm+PAhW42YUlLjz1bBvfriZM1sNsUVbqcOhTCXKwHlqUSiXaCVCU6FbCIV6vITXUgLZW7iykIdg+Qaox8HWrhos8VWj5HsylESCjduidHPPxaZ9bjEhj1IB9wvP5+2C765mWIGN1FOPoBEb6lHMcbdFIVi2c+cZiGGmYliOwucfBJq7r2UIzwhn6kJsg727GcuxikgRGS/Yj/HccFpnsucZLzTiGCpzIbLjqPbt06YifZkYP6mP8dLwopQzB/GoC8BRQ8VCzfDJVk4nV+72HLMVQyMyLNQt81VhZaj7Btcz1aAk2Ew9767lNGOYr1kiI8xVDTc7jsgqk2W75a2ux5owUPSKMDzMVG3IDSqVjNPlBaoZwdoghGofh703goVawlLXcasTlAnNKFg71gaeQqHTdVxoWs7XDStbYZ+vDt1zVSw8jfLrNNnAxhjjReJVzml8EQsKr7KidIzTD1VdBf5B+eeVwtGWZcutriO2wrWJmHfXMhLRh1R7nmCbBeFiw5BY80wW/V62k+G4eWKUyT1XDco255T7A+XmQDiTwKWKYToJSsULTctyz3GpuVsq0y08rciwknp+ai7mdlluMlK0FQqXmpbURXy4WVB4pWGDkrDYY16JTCCXmlZAheuToUTxXCMidYHMvdMt+MGaI/WhnK9mYCNVFuoR76xl4KEWw2bm6BbBim9K8nK2YvEa3ECxDWTfqFwldYEE9YAxoZimKP8+QgpYBXGhAGjLBdWooFxLzI4DaCNVFmpCJDH3+y40g4tysWlpZx5Bma4YPIbbXUdulF5pXS8AfIgTGJGjqQt27lhCPFIuoY26nXkmklAIExkl05DBOV+zzzUmZFSsuVcFbFFutAv+4kHKZqqcbxheb0V8uJlzs+fQvmd1qLwxGXG2bjnsriUSmrSzkjiOBC40Im53C4alDT8uczmdKrlXEMuXZhJ+7VyFZjJWRI7xcnCaZ7K9i3X9wvNg4FnuuYdaueuReeYlsKdVRfoyMSYmx3hpeFHKmRFOegF4cyq8zsGh4m7Pca9fsJkqX5i0XGhEOIU7XcetjnKpFfHVuZiPtgrqVui7MFT++vkqU7EhR1kfKr0i5E6+PSv08xDcvZWF7BnRMHBsZZ43JmNmKgavupNdCXB/4FjvO7bLbJo3JrNDV1UOuxFcbUWhFXDgedB35F6px2Gg/quXqmQ+KDw3CyEW+NpzHlyeVvl1WmxgY4zxIvGicxqfJV7EgsKrrCgdY4znieMsy6PSwQsNSzuL+OFmwXw1nI+GQAqtDYJa8vqkpWrDufzjQuofN09spo7b3ZAF/uZUQmyFtLPNwAvtzLOZeRZrlsVq2BcP+g4jwXLtNZSRVEwolPm5hQpXysbWfuH5y5WMxEDVGs43LJ92ClqREltDvbyGqSq5GmomzINnG4ZYhEZsWB06jMKw4qlY2Mw8Anx/LWO2YvjamYRh4elmjkYirLYVh+AJbdpGhF6uDF3IfRykSt1A2wUSWhQ6RXgfI2LaKxx2V9E9XwXoFTAoHL08xAYZSZiswI+2Hf/pazUaseEPbg/p5KEI8v2NHENwIllCbmQ7DUU3lkA+mvIzMTa0l/syizNXMB4aSbDTd7KgrIwlxBmlTrnctNQjQ16Sc0+Cvc8Sufdspp5PtwpWU0fqwnHz752r8qvnErYyZanj+LSd8/56Ts0Kby3E1MqoqPlGxO2eZyKBfu75eCtHBM7WHn4uqlqhZkLxp9PQyD5dMYjErA4KUh/KbbxCL1dmq8LXzyT8tcu1sSJyjJeK0zyTxRKUxHf7jpudAitCMwrbsvuMX3CpFXH+QHTJ0yodT6uK9GViTEyO8dR40hNzr3LmODwrK+7jXgD2Wos+befc73l+ZTEhV+HBwLOdK83YMJmEvJ0frGdcaFj+g4vVh1Y3Pt4umKsY3ph82Nax3He8v55zs1OgCIkJDwlTidArglJyoW5RhY+2coyEn4mMcrlpjlxVOepGsJt3s7s/V4eO3LOjWPgkK2XnJ7wQPukx8LTKr9NiAxtjjBeJl6U2f1Z43gsKr7KidIwxnieOtyzvlg6eqxucWowI60NPQVgMeXPKcm0yJilJyR+nRb/j5olIYLpquNyMdvbb9aby7S2hYsAYw3I/zE1na5bpxLCeem53HdNJsDd/42yF1yajffnlBzMsf+ZMHObCQVD5NSKQ0kZtUAbecLYhzCaGTAWHcLlleXsmoZN7frCWkXmYjA0LdUFKku9H247UK97DfN1wv68UXkk9NOyo6VrZSGEi1pAtmUM7C7mOrlRHjv4chqDfDCg0ZFNWDbRz6OQFqYbM+NiGba5HhremY1SVf3s35XtrGYKyMlQScWQK3Tz8Ulva3bVUkRalnbwSlQ3dgLo96skyu3J9GIj2yAhnErNzjD9tTMj7GzmDwvHOWsF66ncUpxAUsv/b531+sJHxn11v8CuLCZup52LLM5PsKmmHTsmcsp56Onk4v3oOltqyo8AdwREW9QqvTMSGcw3Dd1dzVofhtS81Ld08zPJpocxVhf/8jSa/c6XGRPLkUQtjjPEscJpnsqsTlj+6O2QrVWYq+3NeI4GpJCzELLULNlPhN85Xn4nS8TSrSF8mxsTkGE+Mpz0x9ypnQuPhw6/xrKy4T3oB+PJMwqWmZ+iUn5rd/b+Xmn5fy15khLdnIowIF5vRw0HURxAJ9chwbcJwbSLm+lTE99czPmsXeALZeaYWLEKbWZCWt+Jw0WznylRiOd8IQ+5hqyofbhR0C88nWwWFhiBxW9pzQqPirkT9SW8ET3sMPCvl18u2gY0xxovEi1abP2s87wWFV1lROsYYzxPHKpbL0sG5quHDzYKfno3K7Olgr52oGCYTy9WW/bFe9Dsqe/xy0+7bX9fqynau3BkqzTgQRMt9RzMWCh/s0b9+PqFqDcsDx5dnDp+D9mZYRtZwfTJiMvFspo6VgccaoWHhfMMwWbFUI8NkLNzpOSaTkc3cMle1LPc8l1qBSIVQaHirU3C7W5AWSiM2NCRCxLE+9PQyT1Q1GISpiqURe7ZSSIsQ45PYkB8pEh4Y8yMulUIgLHfuSBqs561EGDrlbl95YzJkbn5tLiEyoRDny7MJX5pJ6BXw7nrKdMWSFgVraSAeaxaGBPIxLcpcy5L0FA3lPFUrqIMBYTudV7pFyGefii1nygzQaxNxqTZ8+piQofN8b62gVyjzVbOPzJhKLM04FP/83s0+X5qO2Ugdkez+3M1uweft8P8Nno0hTFZAnXCzU9CMhbfLWd4BW6nn+mTEZuopPFxqxSzUI5Y6BT/aKlhPHcYIb03HzNYMv3Guys8tVB/7/Y0xxvPAaZ7JpishMuJC0x5ZPmVEmKwE9eRUxTwTpeNh4qFgJXcs9/weK3lYuP9JcfacrqeVMV4pPIsTc7Ta/kcPwkAzf0ww89PgVrcgc55bXf/QCb9Qszsr2IfJyA+7eBzWsgdhtfKwi8dJiITLrSgMoQIgXJ+KsYRV1Qf9XVKyKIPVf+ZMsm+7R6TqhYblTs/xnbWUqdjQiIX20HO/78g8VAQW65YzVbMjUb/YtDRPIr86gKc9Bl515dcYY7wMvKjip+cdyP28FhTG15UxxjgaJ1EsH+b8+EnD6Pr3J/eG3O45ZhK7L29MBL466bnerPDeZkE7daSqrPQK3ppNqFrZUZbWto++Jo0yLEcxO1upp53Dr84m3Onl3Ol6QCgw1CPhbMOyVJJXb07HOypACGUze+8Jo7LEzf+fvTd7jiRLr/x+917fYsO+5Y7syurq6r3ZbPaMSCNlppmRZEbNA/89vUlPGpMNtc1I5IjDEY1kz/TGbrKW7q6qXJCJTOxLbB7h7vdePXweQAAIZAJZyKrMSj9mZagEIhDugfDr3z3f+c7JLHWtsV5GhrNCxvNzrwi1ZjosyUUHvcKyl4oaMS7VlKmVsJnRiPZp2kAjxOT4KLdGBAdzsaabwzdmAozS1AJdhunIoz/az3nUtdybCpldNAwKx99vDjnIHJs9S1rIi9ZDeY2BLUe6PaQFDAtRgta0kHvNSLzfAaYjA2W9v1zTV2ITklnHp21Laj3T4eQk7UApWpHmWd+yO/A0Q8V86Qn/T3sZ99uWegCtUFMzAdY7upnDK0/NKB62C2ZjTTOUkKnVlnhXJkZxp2lY60nQ0LvTIe/PhCeu3a+akrnCm4/XuSbbHzpuNw0HmWcmVkzapVvEdu1W0/Cka3ncs5cSOk3CCRWp9zzsFjzqWIySMKzRKPl6V9Tuh0P3VtyTK2KywkvhqiTII+VMNut4NlD0C3/lo7jee/7m6YCt1BEbdeaCX+ta7jSNFHdKnVEPXoUE/SJEQj3Q3Gwa9oeWd6clhVwD3dyXqYSKdm7p5vDd+YD3Z04WHiNS9d+vDXjat2z3Lfva0cs9eZkiORuJZ+VW6sTHph7gPNxvFyxP8LR5HtqZ4xc7Gc57frpZTCR7X/QZeNOVXxUqfBl41T6Nb7ohd7WuVKhwPioLlOfj9Pp3OPRcq0kgybjfWOhFofeN2YjbrYDN1LHeLejlnqVacEJZ6uGFa9Ko4d0wnmd9y+8OLYnW3G4p+rkkSj/qwEbquV5X/Pe3a8zEJ9euoKxtx0KpaQbQy6DjCwZW4SmVhhqmIsBbHnRkTLoeKhIDUzF8fcbwuwOpOUHUi8PSd7I4dez21L9V+b1O5rGBJ9KaXlEGsnBMPozvJR62hTg9yD2LtYAbddAqw3XFakgD07FMDFkrZKkr1ZN1DVMhNBNNVI5AK2AnLVAKfrSc0CvEn/Pz2oSk1tMZOgycq7ACaASK/cwTKot1mqVEs9YtuN+2QoCUz42MZqkGBxl4L8R0YhTrfccfLgestgIio8r7eci35iK+UZLm1bVb4U3A61yTPWhbvjUbisdk16KRUDKjZK3r5u6oOXCjbvjF9pBrjeC5ogA4KXSaJM0aV5E+LK/lmVifIEYDJfV34T33O5aP9vOvvGqyqsYrvBSu2si2GYhfz7t3ald9qHy0n/OgY7nVNCek5KML3iKBLwCrrfCMjPwqJOgXJRJqRvGjxYhnfcfhwDGwjt8dFjQDSELDQqL50WLIezMyknIC3rPZK/ir9SE/WAhZaRi2+pZu7tAanvQss7F0r5shbKaO2diTGEWoIbPHKYYvgveev15P+WA3ZzbWzyV7n/cZ+KKUXxUqfNXwPNXTs75lK7XEGn6jPPfb9q0y5K7WlQoVXozKAmUyzqx/KifQCsVJv7H6QHGzJvXeiFRcbRp2ho4/PVXLXmZNWutaBpZySkajrSfWnrlEUTOKZiCk1d7AniEmVxqa9e5xM917z1Zq6RaOQeGZiUEj5GQ3l/qv8Ip6IA3wZqRpDx1zseLr0zHzseWD/SGbfSElRyE0p1WTozMaV0p6LyrLIgOlHD/dGrJZhic1Q8X35qMjBeLvDiwfHWQ86YpysBXBcj2gYTSLicd6RTsX5WgjgEJ7ogAiZNQ88h5TmlxOhZqVumF36EgLCZVsBlyZTchO3zFwUDPP3xdo5J6ZezjIHb3C86BTUAvO7p1aoQI07QymI08jVKw2NIGGbuFxpwjV6tqt8DpjpDb/aC/nWd/ytO/YGRTcbgTcnQ5OTCqO48uoyXLvCbRmtRWyVDNnbNpuNQ3LNXOk9F7vOb4xezmx0ntAt4AP9rKjCaRf7eTcaWnmYsOjriiot1LLXuqweAyKuVJQFCiYT94Or8mqGq/wUnidjWzHMerGzif6eAblFAwwE2sedS1LNUOo1QkZ+VVJ0EcFxS93cvaGll7u8WXHvRGK2fV0pBhaxXLdMB1rdlLL3tATas90pPn2bMg3JpGSSMflw/2cJFDMxoZa4PnssECXYTree/YGQsDOxxqNZ39oWaqLUnSpri/sYfHRfs5PtnKuNQyxfjHZe95n4ItI6K1Q4auISaqnoXVs9h1D61luaFZqwRFZ+TYZclfrSoUKFV4Gk9a/0ypErRRzMdzfV8xHJxvR59WAF12THnUKNlPxq7xWn+x55sqxv59t56w0whMb/OWaYa1rsUhtu5GKCijSEEWKwkl4olKq9GeEndQzHUEUaHYG8tz5Ml18PjH8/mLCr3eHfHLgMYh3pCoDaBwlAadlDLxASm2HELghciCxgkArtJIJpsgovtbU/GKn4OP9nJ2hY+g8/dzRK8TXfWfgJOjRaEID80bTL0B7z2Emr4mBwCimNQwKz8AqdoeegbNMh4p3pgPuNEVleBVNtFAphk5q9xdNmzrEG7OuFf0CnvYt3dyXJORJKKWYihQKj/NiAbCXeVTX8eOluFJCVngjMFKbf7iXs5mKj22kYbmmGRaajw9k/7tYM9xpBUeTivDl1WTje/zzbNpGKMo9e3ABPgDkcUPr+KSr+KyvuJkURxNIqy3DJ4c5vTynnTkirTAaEiNetM7DTmrZTC0No/jBQvSFJ5Z/GaiIybcIV+kX9job2Y5jpOy83gjEtPaca9kgxdVWammE+oSM/Kol6M77MX5U2FKNFC07A8UPFkICLX+Pd6dDQEZrlFZspI4kKMqujgTijIJttgeWXuFolUVqYhSBFj8ejxQ+9QD2h+JXWTOKnaEnMo7VlmGlHlyIQB4V7o1AEZ3zEThN9taMOvcz8KoTeitU+CpjXDnx4V6G9VdvyD0JF1XDf1mo1pUKFSpcFM/zkzytQoSRd6NnN1PcG/s9z6sBL7ImRVpqxPn4mJQcWGki7w08djS6bBSPy7Hyb8wer7/1QHOnaXjYsSSBYjOVRtVSEpB7x2EmCd+F90xFEgQTKk8nV4Aj1IpYe2bj43NtBJqVesB6L8da8Z70SGL3UUK3iBnRXn5WlF8N4B1YA0PrSzshRRLAnz8c8slhjlYS9miUYiZW9HIhMT2KXuEpMqlZZyIZiUcJuToVcTSpc5grelaxnHi+NRuSBDL+uDdwHGSWv3k64GbD8LhnP9ce6O6U4b9sCjkxGiM/D6mFudgQagi1KFcNHj1JIYGQOlrBQs3w/myE9553Z8LX8v5aocIkjNTmqXUcZJ75mjkaTX53OqARKh60LeDo5TlPOjkDK/vfdg43G5q1tuE/PR0wE2mmInOlvuaTcNk9/vW6uZRYabPvKPqahdCfeI0bDcPTnuXB4YDdIdxoGhaC458bJWtv4T2bqTRrbn6JQq8vChUx+RbgVfiFvc5GtuMYKTvrgSQTSvr35GNphpr1nuXetD4hI7+qscDRgn2nddabol84/svWkKH1PO457raOF+CVhjkiVacjxc+3MqYiRS0wNMuRkPW+5SBzPO5a3ptWeO+lAxtqYuPZzxwKiLUM8RxmnsR4egWsLkesNgM8FyOQR8RFrM96GY1jnOy90QjO/QxUflcVKnx+XJXS8U1Rw78I1bpSocLbjYs04y/iJ7lck83hSIU4Qk0rtrPjmulFNeBF1qT/6bc9piIhJb33bKSWzdSVCdXSDHJeGs4HQ8ffbQx4b+Zk7T4Kw/nZVkZaeNq551ZTs5mKh2E799S11O/7mWyADRAZxc1GwKftAn2qXlMe5mNpZmdOnjt6hAMyZHR7FIIzQuEhdGAVFA7udwoWYs3Qev7zpmMnlbHt2UgzFRsagWIu0ewOPaGGuoFDB+3cM7AW6xV3pwI0ltwdTx0NrDw2Npq+hdh4+rlndSpgIVb8bDtjYGF1Kvhce6DbzYD5RNPJLamF5jl1rfMe5+Uc5hPN7y0Y/reHKZlj4l7Ce1GLRoHiZkPeB1GbvX4ezhUqTMKoBm2F8LtDd8YvUSnFjUbATKz59W7OZurZHzpmIs21mqIZaDb7jo2+Yz5WLNY0N5qewrlX6mt+2T3+DxdDnvbdhYjMZ31LZj1LoT+jsK4HmuWa5q9SWExkPZ8K9Ylr3nlZx+5OGbYGjttNR+b4SqMiJt8CvAq/sFdtZHtV6s6RsjMMNLdbAQ/bBXPxZHJSIaMj/8Odk69xFWOBLyINNlNLqBStSB0VwqPxnOWaPiJVt1PLzsDRigwzkWJgPdtDxwe7OSjoZo5nPcd0ZI8I0JlI0Qo1ndzTKbvy+0PLt+dCbgXiqwFQlAXyizAiLsYJ0/PQDDXP+o5G+OLPQOWZU6HCy+OqlI5vihr+oqjWlQoV3i5cphl/ET/JZ31HZGTjOL7ZNkg4AlxuDPF5a9LTvmWpHKPeSC2bfUfzVPKzUTAbG243PZ+0Lfc7Be9MjSm/lWK1FXK/XVA4TzeXmrcZKhJjeGdakTlFJ3MMnSUxiiTQhHhio7jT1Fgnm+LR6zoljXGlJAW7nZUvxbFLkuEkKamQVG+NjH+HSkQK66kns5Z+KassHPQK5FgCRT3QTHnJ+B5aRaSFDM0dzCcyCZQYGXvezxzeSyL3fOBZiBTP+haF4UbTsFIzrHcLcgedwlEPFGFZ577MHmgq0vxXKzEPOgW5dyfeoxGcl5CdpbrBaJke+q+vJzzpWv7eDnnat0wHojzFw8B5hk4xHWrenQ5YqRls6c95t3W5UMoKFb4sjGrQ7YEEQ533yW2XNmbTkUIrw9empBG02Xcs1WTt6+SegVOs9xyFk6bJ//xJn+s1zd2p8EpVlJfd499qBjzuDS5EZG6lluW6RmeTHxMZmEkUw3J9O8gsi7HBeUitxwHLdc1KzXCYe7k/1L7a1N1X++wqvDK/sFcVLnDV6s5xZedqU5bJtY6M0YjasEzdKiB3jq+1Jo/2fd6xwBeRBhs9RyPUaCW+NZvpsWqyXpKqv93P2UotC4lmb+BQyrLZt1IUldXhjWbAwHp+tZsBntlEsTPwNAPFfKyYj2UUplc4mqHhZvP41nFRAnlEXIwKAqm+AAAgAElEQVQTpuepUI2CzLoqYKJChVeMq1I6vilq+AoVKry9eF7z+nG3uFAzvpc71nruQn6SB5lnuabZGrij1NZREvX2wF6dNURJdA6sjO+dJiXHMZdoOrnjw72cUIsn5Xhd2i88/2w54lnPUQs1hmMFZqxhpmHwZWhMbiG1olK61TTsDhyHuWc6lPfAoIgDQ807WiHk3mI91BV4BdYJkTZOTMaq9FgMFYnypOVjekPLXubJrDw+z8F5Sb6NC8WBEl91ITwVoTYMrSUx8P35iP3McYBn4BXLNUVoFMO0oGMhSx2BAqUMs5EoM9d6ljstCb/cSi2rrZP3yfE90Eys2R+654oi/mApYqNf8OcPUzZSx2KiCJTCMUoKF1IyVJ5mYPjhQsR0bPiTGwlJoPnZ1pDDzNLOpXCfjjTvNwKW64a4nA1vDy0Lsa7q5gpvDEY16CcHBY1zplEG1rPZt0xF8KjreHc6YCuVVWN8rWuFsNUvmI3Fl/Lr0wHLNc1h7lDKv/S053m4zB5fKXVhIjPWsFIP2DqY/Lqbfc/7MxGbqaUoHPtDUX4bDYs1CcYZrQnNUHG/bfnxUvy5zvV1R7XifcXxqvzCXlW4wFWrO8eVnUop7rZkcdtMHZt9GQUJteJm02CU4fvzkxe4zzsW+CLSoBgjeJsBbPYtd1vHl+dq0/CkVzDoglGe3YElcxKaM7TiO7SQGKYieNy1eAf32wVfmwrLkZJj8tB54TGdl0IbLkcgj4iL+gtUqFJYFzxsO1qR5v97OnzlXiEVKrytuCql46tWw1eoUKHCy+JFzetf7mTsDRzfmw9f2Iz/u82M5ZrGqOO17nw/SU0SaH60GByltm5ncC2+WmuI6w1pPGfOl+nW56/p/UJ8yH+wENIIoF/4E3Vp4UpPM1UcndO1esBsXHpWDj2BUXRzWIhhMdA0QyEmV1uen2/ndAqPwVMPFe3MoXEMrWYhViTGl0QcmAAKCz0rJKVWUI9gNlJoFPtDj/WeTw4KYiNj39bJGHbh4NBDpMBZTz3y7GVS94vK0pFbUUmO/DK/1gpo557tfkHPQhh4ZrRiqmEonGejbzGKMn8c5mNDoBXP+o7VCcEWBnjaK/g3nxYXGvf+16t1VmqaP3844H7bEmpPKxQlq1aKwnkWa4Z/cTM5Ij1Ggo5/thKz1rHMxZNJ59x7DjLPv7wZV7VyhTcGoxq0eI5gaT9zaKVIC1FNBkpxmBXMRieDvrRS7A8dj3sWDfzGie9uaOBpz/L+bPRS057n4bJ7/IsSmb9R/rlBOYX3zCeKnQFMJZpaqPju/OTmlkLW9696s+KrfXYVXqlf2FWHC3QL+OyK1Z2TlJ3HqVvHH3/rZYz7RRf8y44FjpMG/cJJYdtzFOX3dweWQEMz0BgF+SnSQClFgOI7cyFbqeOztmU2kYJuqWaYiTSHmSPWmtkYdtKCwiv2M8dsLIVuq+x89wpLYoRUrAf60gTyOHFxngp1vW9Z61pS6/nBfMj350Is6sq7XBUqVBBcldLxVanhK1SoUOGiaGeOj/czfr6d87QvCX7XG5rZyJB7uNMyGKXoF44nY/XUdlpwmEEjUCdCYU7DKMXOwDF9KsHvdKr1COMN47stze2mp9Z3/NGsu9Jwkh8uxvz5gz7tzFN7TrKKQ5q/785ErNQD+oXnT+/UTjzGI6Ta6XNKjOJaPeBaHQY24DcHOQrPQk3jkJqybhRKKX53WNAZOjIn3maxMQydYy4xfC3S3G8X1EMhbp/2LUXmyIBWJKSDc5DhyDxkJWnpyyEfh4TlRMEovbb8z8nod6Ehx5OXQTq5k1HGUDl+sBgyHyt+veu5VlPHEdlKRr0jL8qjX+1Zvj5tSIxQlMU5DbmH3YLdgaShjzflzhNFKKX48UqN9+diPt7P+MXY5/RGQ/PDpZj3Z8MTZMZI0PHBXs7tllghnZ7eaufiu/fH1yL+YKkKvanw5mBUg55WnY9jL3XUDGz1HTUjydP9QnG9dvxg7z2bA8vjriPQnhuNgNx5IqPo5Y6/28yoBYrVZnDpac8X4aJ7/IsSmffbluI5bkeBEmuJ5bpYTpynB3AlR7H6Fgh7qh3FVxyv0i/sqsMFng0UJrladeerUnZeFmHZQV3vFzzqSCe3EeqjREHr4Z92c+5OBSzE+sgDZxyF90yH0o36zlzAveljwndgPXuZjMLMxRrvDRt9R1p45mPxqHjWtwytkJm/fz3gRl2/1AjSaeLitAr1aa9gd+i41TSESvGjpRitNZqX9zStUKHC83FVSsfXZc2sUKHC24fDoeWv11P+/eMhuwNHPVTcrBtmYsWznuUvHw9ohbBUD3AO9jLHXKS53gyYDjVrHdDK89dPhzhk5O68BmisFdup493p4++Np1qf8JMcaxiP1r93ap5JfZnP45H+zdmQ/7xheNwdktQmr+WufI25WHOnFRAoOMwcH+xlJ15zqabo5I7ZOJh4TiAk5WJNc//QMp/AnaY58jdfbYUs1QzP+gW/2des1DyftgtWpwzWKSKjSELL0HoCLGnuUCUhGCiFUdAtPMOSkHROCMY0l3MYjcIrC0qL8jJDxr1rXk40NPJ4DcwE8E4rQGvFbw4s1jmaBvolmRkqITWs8+ROvr+UaLyTGjnQimBCbd0vHI+6lvlE080n74HOE0VMRZofLyf8eDl57t91/O8LIui4OyUK0J3UMrCy/1pINP/qZo0fLcVV477CG4VRDTpJdT6CLVPpBxaWapBaRyM47iuArOkbPUtiPKq8ZnPrJXTVwEHq+MsnQxbijGv1gDiAj/dzfrz8xY84v4jIHL0n52H0Xq3UDJ3M40u19GmrOec9c4nmj6999ffMFTH5huNFBdAX4Rf2vAvzMgXak4Hm3itQd161svN5OO98F2viK3OQ+TOFYaCE7OsVOU97lk7m+MHi2QU2UIrMw/7Q8625s5euAT4+yIm1FHGtSB15Ir0zFXC7qejlnut1zUI9ILW8FIE8ibgYqVCXa5qhkyTEw6F8HRW5R8f5Ep6mFSpUeD6uUun4edbMqwouq1ChwtuD0Yj2Xz4e8E97GR7F7YYGpdjPPDsDy8HQsTtwPO17Pt4XH7M7U4ZO7vj0MGe5pvF4piODUZYPdkVZMz4dM47YwND6M1MshfPsDywf7zuMUjRCzWykiI060cwNrZ94Dp/HI30q0vyLmwkf7ufsDC1ZAZnnKGEmUlALFVOh5oeLETWj+LRd8OlhTj1QJ17zs3bBR7s5f/t0yM2mpl2+jzORZj4x5M6xncp7p4CdAewODLOxZSrUFB56hSezihsNxXbqOcw8ewPLYs3QDEVZ2fOwM7B4YC5RDIpyrNzKPUMhX+3EM4ahF6XkKERHI/9jAW/l3L2CwyH8/VbGnZYBL6rKeqTxzhMZT8+qkuCD2w3N12dCPj0syLyE5NSM4lbTnPl77w7ELzNSZqIoYITLWl5NwiRBx0wsSbx3W+bKLAEqVPiiMapBFxM9UXUOYBBxjQJqgfj0tkItdhClOGp/6LBAoBUeUVVqYHfojq7Vaw1Fr/CgPO2h539/lNIM1Ws3iTd6T8RO7ezPR2r2wktT4ltzIZ3cn7GaW0w0vcJzu/X5eYrXHRUx+YbiogXQasvwafuL9wt7mQKtOEf6PYIUE9JJyZ2nbz2rrRdveK9a2fky57udOv5hJxPfownPT4xipW542i3YTD2tCUzyUl3z4V7OXKxojJF9G6k98tNZSmSku19AK/IcZo56oHlvJsCX6oFXaRT8pCeG8njN6lRwNOp9GldR4FWoUOEYV6l0fJk186qDy14WFTFaocKbh4/2c36+nbEztBitaAXH/nsN47nft3y4b5kOoRkpdvqeJPAcDjxae2YixUZPiLR6AHUjTdK1TsFyTZ9pkAIsJJqfbWX8bCvDlNPAa52cR13xeFTAfCyp0J+1xdN7PlEs1wJ+e1iws2u4mTiWM8dUpK/MI/2bswHfnQ/4D0+GjH6NKseZBx4o4BvTmtWW4WHX8tF+znfmguM633vWezKd0wyhk8POwLOYGIbWsZcWPOjk9HJpeH9/IeT3FyIKFJ+1C/5+M2Ml0dxpap72LL9rWxqBYjExvDPlyL1mK3V8sF8wFQqBPB8btgcFO0OPx+OcTOcERgJhnjeL5U/9v0USarUSZaUHYi0pvtY51rsSVjmfBLw3Y/ikbVkOYCb0TLUM3cLz7kxIbBRziWKj79hJLTcahrTwR3/v0dTSWqfAAf+4l/OtuRDv/bn3qMtaXp2Hl7WFqlDhdcV4DXqroVnrujNCnJlE8bDtudk0tDPPO9MB3nu2U0dTi8LbOfHPHRSOxCieOE/dwMBKmNZ8IqKrofJ0c89yotnLXs9JvNF78lfPFAvh2VWwHmhuNTS/3i347nzIQmJYSDhjNfc2TShVxOQbiosWQKtNXY4Kf7F+YS9ToI0UOac5Oe89D7uWR50CoxTNAGKjUOpyG95XWQicPl/xPRIStfCe7YHlsExI//ZsONHweinRHAw1KMfjblFu7I9VSkYpbtQNqXVH/h0jUrIZyqh0I4BWqNgeeCnivHReAgU/WorYGzr+r0eDz71hP4+4WOs43p0OudEwEzcC47iqAq9ChQqCq1aHX0YNv9ErSC28PxvQCl/s0XXV8B4+3Mu+dGK0QoUKl8N6r+AvnwxY6xbcPyywHoqaphWKkmxzYHnW9zSMx3nN0CqM0RReCYGF55NDR81YBg52BwWJMWTlOK/W8P5MSCd3J7y9N9OCbuFphrA7cPz2oGBv4Ai11MOFhwcdz1wMM7Hmej1gretohI579ZCe9jxMFf0nA241DL85yPDATzeLo9dYaWiWa1IPXXRa5OODgqko4LtzDq/goAyOMUoxn2imI0W/gN8cFGyklqlIsVI/rt0fjinxDJqZWBK+l+uaw0zRzj3d3PLd2YDrzZCDoeOXu0V5vIZ3pwO6OTzu5dzvyMRNWK6Z84lmO3XcaQYcZJaHbUsnk/cKL/cc7z25dwzdsRJyErQ8ZeLPLTLaHWtRRhoFtUDRK+Tf/YKjJvxspNjtwnKEEBV1TVL6c87Ghmd9y+HQcadp2EyFLMmt+JHuDTyPupbEKALl2UsdD7v2XJXtZS2vKlR4mzCqLT/a90xHokYOlagjB2XgTRKIOjAxisVEkzvYTB3Oe572LGnhGFoJ/2qEiszBYQaRsSTGcKsp62bNaHYHjoVYftfrOon3zdmQR3XHZ6kiKRXr43V5PdD8ybWIzMH2hJ9f5VTnm4CKmHwD0S4JrouExKz1HLcahkdd+4X5hV3m+EaLCMDNxHGYuTPqzoddWyY/H3fQDzLxMHwdPAvHz1cDDzrFCRJVOrLS0X9SJozdbAQ0Q3XGQ+JHSzGzETzuujMJi7dbAWudgv/n8YBOZqkFmo30mJQE+R2Zha9PG67VAw4yz/W64kHbcpgNaUXHoz7t3PEf1wds9KVgvdsM+Np0wO1LkNNniYs+C7G+0Ma/KvAqVPj8mKQQvNXQeCTcYXwNmY31525OTFJGZtazNXAESvHL7ZzbLc9q05xYB161hcOnPUXXfH61UoUKFb4YjNaSv3g8YHtgSXOPVopYew6Gjv2hoxkqNnqW2ID1GuegmzmSQNHPZQM7Eylq2tPOpQZqZ5KQ3AgULaP5+eaQD3ZzlhOZ5GhoTSd3POxYFhPFz7czGRUcFOROUXhFqMtE6NDzpGfZHnqmI8235iKe9h03Gp5Qw5yGhVjxb+/32Bk47k2HJ/zD17sSBHinaVhtBi+cFhnVk3daBqUiHrYL3p85m94cGfjHvYxAKX64GB01gkd+ieNKJa0UtUBSxe+0NIPC0QgVv+tY0Iq56Ph4n3Qtax1PM1T8p/WMP7wWHpGSIETf7w4tg6LAaMVyXfOkZ+nnohpNc8vBEAaFJG4/VyqJjG4z4WEOiBASMg6ExDRaas5uLsSxx7M7LFipGfY97BZwtwyv8UhtPbCe2Cisk3pzJtZs9Qs2U4cGakaRaE9mPXGkOcgsv9gaspQoGuHZiZ+XtbyqUOFtwGnRysf7YlG2n3lmY8W7MzGR9hzkHrw/UlUu1zS/PSg4HDqakSIsPKq8bkMNBi9j3Ti6uS/5AOEvugXcbJrXdhJPKcW7Tc+1xBNOB+dOII1q+Vcx1fkmoSIm30CsdQuMunhITCMQtv2L8Fh8meN73C2IgGuJ57NT6s5+4VjrnCQlLRwlB45+z5fZKRk/3wed4gyJCoCCmchgtLzfaDHrHveQGI0bee/JG+pMwiJI56Wbe/7X+3220hy8R3mP9ZBaj0OCblZqBue9EJVOsd63zCSahSQA73nYPQ7hWappDoaOndBhS2VRvau417g8afhFeJpWqFDh+aPTT/uiqh4pBEFU3X+3kX1uNeEkNfyTniPW0vRw3vOwLQTgadXJqyocuwV8liq+s3zxZtjr1FGvUOFtxGgtyaznWj1gfyiKQ6MVgVJ479noWQ4yz2yssQZS7xk60M4zcJ4prYiNplc4BlZCA0It9U8BrPcdfQu3W5peLh6LyzVJRL7VDLje0PzN0yGHw4LUKWZCUec5xNuxcJ5Ia5ZjeNCxzESW6VizlVpGFfPjnmW974i0TPOMLIkCJWutBR52xGFxtRU+d1pkvJ4cWeGsdYoz6c3dAjb7ju/NBayONZM3U4vhrLfbKFUcYHcgvprNQFSJo0CYQMFMJN/7yeaQgXN0ctlDjCB7BodHEWtJ7o6UwxohdHMPaQH5WB1omOwv6Z7z2dCUhISG3EI9EPXlXKzROAqj6Rae/aGnnRUEHm4lopZs5x6jJOzmVtNwp6nZHzoe9xx7A0s7d0yH4kX5NLXsDcUIMzGe3Cg2Uss/7Ob80cpZYvIqLa8qVPiq4li0crbOO65d8yNVpfKe3Hss0Mk8jUAzsJ56qOhkwglMRZpmqNjLbCnsUSikGbVck3rudZ7Eawbw7nOmNit7B0G1ur6BeNCenHY1CTOR5mHX8ad3aq/UY/HzHN+DjuU95KK91TD87caQvCTZdlOHxVMPAhIjxc3B0LHaOjkq/GV2SkbnO4lEHVjP/tCy3nUYJb41sXEs5oYfXosmjjs/j7BTSvHj5RiF53/8qIfWMtpiNCzWNHOxITYK5z17Q8+1umZz4LjeMGynjnemTo/5COZj8RK60ZDn/+MzDTi+fsn34qqSgStUqPB8XMYuA7gS77Pz1PAbPUejvIdopZiLOdfb7VUUjs8GSjbjl2iGvU4d9QoV3jaMryWfHgrhZhD7mcPMM7Dg8BwOHWk5bp0YTTdzZFZ+roAeniizpBYSI2RTM4RQa4yCR13LtbrBALVAyEWQIJvbTcPOwLJY0zzrK+ZjIdcy6yWB20vzxnrPfqZYSGSC54c1w7O+4zbin7jetdQDhUbqvWv1Uw0ZZBRcJpcMNaPOnRYZr5+VkuCe5ZpmM3VnAhH6eUhoFJyzFp84BiWN8Eftgr1MJncOM8d6L2O1GTBX08xGMhKplaKdySjlRl9GC/czx2bPstaz1IyQfp3cE2lw3qGVohXCTir16Ih1vIBo8gxGATgeIUsdI/UjZUiGRxuNsY6ZSKOUZ0rDXCjPVgpulQpVC+wMHEtas1SHv93ISLTnWerp5J5WoHhvNmQrtQRGcZh7hoXjr56k5IUnMOpoxH0hUVdqeVWhwtuISarKX+5k1IziXsvQs9AMJaz1IHP0C1nT+oWsJFqJZUOgHYnR3G4dh6x+3km8yqP8y0e1ur6ByEvvmotg/CL9otj4lzk+78tRPFUQall0wnLcGDwf7udMheKvs9o62SEe4cvqlIzO90kqxZkedfpTezQuMptIoRcZaOcy7l0PFX+4HJ9RKF2EsPvRUsxPtjLamcMofaKTfpCJUnJ1KsB7h0GSHFPnJ475AOVxi8/H3VbAQuj5LFW0S1P3i+Iqk4ErVKgwGZexy/jFToZClCOfV014nhq+OHW9n1xPTv6uV2Hh8GSgaZmL/c7XuaNeocLbgvG1JFAK6/wREVl4GcMOUSgUhfNs9R21EHJ/nOoaGknW7uQlkWiEHMwd3J0KKJznMHdCYFqp0xYSze2mYXvgCBTsDTzOerSC0ChixIMxCRSBktHe2Cj6Fg5zTycvaA8N9ZL8280UJpJpEaMoG8Jnz9cgZNtap0BrWOs4oH9m4zupfq4HmrstfUaB/qxXMDyVDH56LR7BlgrG3x5mbKWOeqiIjNCGkVHspJbN1LJSM6zUDIWT8ckPdjN+tZPRzb28716a4FORQWtRGjoU1ikirdDAfAypU3RzL+rT8hDPS+WehAJwDlQuYUehRgjpwlIAiXYsJhqFKCmnQ3mt2Ch2h5b/8CRnNtLUQs0/XwrpOk/hYaVmGFhFgeV649gGqXCwO7AUHjq5o51JmOP35iOsl7/br3ccf3wtmhhOWaFChcthXFWZGM2/vKnIneenm0MG1rOVWhIjimlVrvndTCYEDzPLjUbIjxbDEyGr5wl7XkQ4vi7hjRUqYvKNxOs+Lvsyx/dpT/FpX/PdZcO1RnCUwP1JuyDSspm1HpZrhtXW5JHzl9nwXkV3ZHS+Gz3LiGfbSC2bffFH0koRGU87kxZy3Uhn/uP9ghuN4Ez61nmE3elj3R14Vmoao8WbYtJY+E82hjRCjfXys/PGfOB41OduK0ArecxllUVXmQxcoUKFybiMXcb+UDbmq+eY+Y8/9kVqwvPU8EHpTxaMHc74ejKOV3FPKk699vNQedtWqPDlY3wtWWlofrWdkVpoRaLEUwBKxvVqAfQKyDNHrEX52M9FWRcZRb8kwHpWiLPVac1crHnQyZmPDdcahu+Wa1rhPAeZP1qzRmPRtUCxk4p3ZWz0kfdhyXfKmLZW7A8tv9zJuFYP2LOatb7iXuxpRoqDoee8ZSi1YnHx1+sFM7HmRsPQyQzziT6x8T0vBHISFmuGB+3ixPcmrcUg56iVZ73vmI0UoRHbDVMSqqFSpLnj51sZrVDxtF+wm3oGDqYjOX/n5L3YSB07A8dyTTMdGRKjmI0Nt5uaZ31LWkhYj/dlsvZLLrceUcBmVsgIoyRdPAkUymhCLb84zR0q8GwMFU/2M0DGwLdTyx/NBDgvEwP9wnGtftabHWRE/CCzbPUcoYapSPGk77g3I58ZFHx3PmBgZVqhUtxXqDAZL7OvbueOvaFnsy/7/scdy+2mZrkeEBrLZt9ivQIFgRJfyfdmDN+YPXkdnhb2XJRw9N7z0cHZLI7Ko/yLR0VMvoF43cdlL3t8N+qGn6aKhfC40zvqEG/MhCRGPHAssDlw3C7cpUegT+MquyOj8x11qg8zx+8OCgrn2R5I0deKFK1Qs5U6rjXktRLjTow7jhN2AB/sZTxoWzLn2OyLf9JKXbNSDwiU4k5L8+lhQSPw3G4FZ8Im5D0pjykXc+CNnp045gPHoz4jtAwnlEUXvdlcdTJwhQoVTuIydhm9zHPRBu+L1ITnqeFXGpr17sljOr2ejPAq7kmj9eUiqLxtK1T48jG+lrRCGVVerGmsM+wNcw6H4hOYO0/hRDVTCyHz4uE4G8sEs2dU58hkSGg0S2X4SS+Ha3XN+OU+WpduNgOedG05aeKpadgtPNOxOUEu6nJtqQeK1HpyKx6+35xVtIby872BZehEabeYnFyXR9Mzvz2UZOjYwEykuF43rPccj7uW262AWw3Nh/sFsfYTQyAnITaK+VifmFCZtBY77xkUkvA9F2sy6wiN+JxPh6Iw3B+IarQZwqNuzt7A03fl2uqElMxKctCU78nDjmM28eDh3WmN84pWqBhaaUxlzjPMj5O3Dcf/P75cnx73Ho1yj7wph4V8MzZCSjdDhfLydX8I1xoBvUyxlyuWahBpzWwixGMr0izUAr4+4/k/HqYMCidNuFPvZebEPupmU3OQgfKOQeHZ6lu+txCyXDPUyjq98imuUOEsXmZfPXrOB3sZjUCXDSC41dRsDTybg4K5SFE3iiRQZF7U9St1aVr1x/iAScKei1ge/Xw7Y3/o+P5CdKUe5eN75sfbhkDBcD6rxsJfgIqYfAPxuo/LXvb4wMuYy4SHrjTEpHwmOh6F2Uotq62zF/VlNryX8Wd7UXdkdL4Kz3rP8Uk7p5fDVKiOusUHQyHkdNnhbefi0aOB9Z5lJpb34pszBu/hLx4Pjhb2va5nM7VEGu53pHO82gy42Qh41ne0QnVu2ESgRBo/Mgd+0i3O/ZtYD+HYH+F4zP5yN5vT/iFve8JYhQpXjdGmXpTllo2eoyi/t9LQLNeOPXg9Hu8vb/0xCeep4ZdrhrWuxXKsxj69nsj3Xs096WbieJhe7Bwrb9sKFb58jK8lndyxWFOs9yxD62kYReEcmZUNYcd6rINOAZHxmDLURCtFp3AUThMqUffNxKISdwrmE00rVIzrGEfr0nJNs9YpmIkVDzsyjqwAvD/h2RhrGRV3XkaTa4F4h691LEGu2MkUsaX0V/S0c4fz/shnfCO1PO46hoVlKlJ0C8VKI6BZ1kDOU9ZvAbebhsddi8cxG59v0yHnIWnT/3wlLr0r5fGn1+KR33gtBLwElG2mDusc3gvBuD+QhNzUQie3bKae4Wju2ovHo1KAEwWjR/5uoYH20FMLFAeZwxgx/lRKERlYjBX7OPplGI5nsufk6N8j4lKXvz8KICtg6CFRQkqa8k+UBGBRLNUU354L+Oljxa3E8635+Oj3Fh6e9R2rLbhWNzRCCSF6Z8L638nFUzNQikbguVEPcR6W6yentCqf4goVJuNl9tWj57w3E/Cs5+jkriQBDTOxrKdbqSw6eQFLNYVBc6Np0Eof2QVNmsRb7xX85eMBQ+v59JCJ9bFRCo/nWd/yvvXUnzN6c9Frf9KeeTbw1Vj4BVGxA28gRuOyW6nD+smbyNFF+v7MF8/MX/b4tlJP65zm8HJNH6VLAzRDzbP+2Sy/y2x4L+PP9vFBcTSCfR5G57s/9DzsWqxTtCKF1gqUfE0CjdE2RUAAACAASURBVAdagSRmN0JFI9AU3rPWtbw3HfDf3kpQSvHRQcFiTbOQGHLnedy1LCaa2dgwHWkediwPuwX1QHOnaWhnnulYsdaRUZVxLNWl2B+ZA4/GfCahW0gRNsJIWTS6cYyOKSyTGEOtWEgMC4l0+j/az8+8L9+ei/jTOzX+7G6dP71T41tzUUVKVqjwOREo+LSd87OtjPWuJQlkw5kEivWu5WfbGQ87OXiPQk1s+kzCi9SEd6cMhxPWw9FadDB0Rz5ip9eTV3lPupZImuN595vxY6i8bStU+PIxvpZs9Bw1o0EmZmlFmjvNgJW6ITZgnXw/1hLUNxtrIgOtULEYa+oBtAvPVKiYiRVGw/vTIe9MBxzmntkxFeNoXaoHEpoAinogQTDziWZopRkLHH0NjWKQ26NgnnooHoh1DVOBZ3tgedwtiANoBYqt1HGQebq5BNY478icopPDalM8HEeQsDCp34bW0wgV06G6cP38B0sR35oN2Bk4tgeWUCtuNzQ7qWVvKMexOhWgvaIRalbqUgc+6Tk6Q8fH+5YnnYKdocM6T7/wWCvnpykJSS+EpEMEBEbJz3Mn/03HsJhoOpmnn3tqRkbXR+rGSMsoOJxVS4L8bUcWQxp5bKDFO5JyLH2qDLZJrahXrzcMc7HhvdmQoVM0jWcvVwzGClyjyjFs5B71/mxEN3d087PvaydzMs5elAnwXojtSar/0WRBhQoVBC+zrx5/zrX6KKjKUzPy/EgrFmLDN6YDbjYDvj0XEWoJDmuGikYA692C7YFlZ+COJvG893y4l/G/fNpna2Cph/rc+hhgq+9pBkJyvggXufYn75nFXuJ5e+YKgqo6f0Pxuo/LXub4fntYnOsPNioeH7YL5mJZ2IpThcJlPQsv48920c7ozYZhLlY86UphN63FC8N5GDqHRxakmUixO3Rcqxv+cCWmZhQ7Q8e35qKJC/vmWKAOnE13HIUAPepaeoVjvWe5N6WO3metFDcahluNYy+n02M+wBH5u1w7/n7HwnuJutTNphpvqVDh1cN7z8f7BbdbwQm/2EBJd9YiyhCARqTO9T07jRepCZ+nhh9fi/Ci7F5KAnLnX/k9qRnAOzW5D1TethUqvP4YX0t6hWN36LjVNEfhI51M1CvNQBFpx426JnXQKzyJUUKUeY/1ipW64VpdFIca8ZqMjWImUtx3MB3JenC6zhmFJuwMCj46KLheV+Re08kcQ+dwzqO1Jisse0MIlWeuprlR00cN3qkArPY4J+PFSWC40QyoBYp/3MlIHRwOPQuJJtSKd6fDM+vxeFjYzYahl8s6dZH6edKESiPUrNQ8Qyc+lNfqhsedHOccewPP7sAxFSn2hwVpIQ3/wsFu5ujmQkIajsnE3Mso9yghe6R6zD20AlAeWrHhZlPxf3dyYu2Jy8Z8EsgDQyQ1PXfQK/f1pQiTENm0+9LLMzSKSHnSAtLyfVblmHmSaO60QpTmKKjnw72cuPxMjKeiWy82UKPJgqLwFF7x0V7G16ZDFmJJIXfI5yo2MJtoZkJFz0pzfZKiqfIprlDhJMb31S+a5Bntqz0cPaceKO40Db/Zz0nGGkmZ83RK1eTB0GG04lpN7CJy68TyA1Ej/vaw4H5bGkEHmTz3Ws0c8QuT6uPVVkjhPVORmuiJfhovuvYvS9BWe+azqIjJNxSv+7jsZY4vVIrec8y+R8XjWqfAe4/RsjF/WRL2Mv5sF01wfdyzvDcbMZcY/t3agKFzKK8wKGYjQysUhaED+rmjboR0zcv3BCYTpuOBOiOcHGkPWW2FLNUMT3oFa2Xi9vj7vNYpSnm9nzhyORr1WZ0KjuTtzou3j0NdOYlboUKFl0c7c7Rz8a1Vp8YORxg1MB50ClbGvLE+r/XHc8OtlGK1FbKQaD7aL6iVSbaF91/IPelew5NfcDNfoUKFLxfja8loKkUrRaRgPjbMx1KbdHNPHCiWE4MFnvUsHrjVNOwOPbeahvlYsz+UwMFaUAbAAP0CvjMXkBYQas/hqTpHKcXtpsEtJxwOHZupJ9KOQEPhFEoDZcp33YDSIrLpFZ6acVgv5FxiDE47rtcNndyynWr+5HrCRs9yu2n4YD/He7jWkKCYSRiFha02Dbnn0vX9ccLt8fdGHmcPO5Z+ATupRWv48XLE1kDqvplYzg/EIuSEZqhUR1qZ0MYCugzBCZWoJ+MAHKLClHo0ZyO11LSiHsJhqXYNlZCZ9eBIqESgpdYMNERGXjDW4n2ZBJpmCLsDd5SY3s48zbooMFuRZjd1bKWWx11LLRfic7PvQFn2Ukc7l7/lk25BIxDV0lyseNyV2nqzb1lIZIppNtLMJeJx1809y3VN4RU3G2fHuSqf4goVTuJB2zIdKh52ch51xLu3EUqNaD2sdy1rXctyIsTkv9nJKZwoxG82pVm02gxYqWn2c0eAqJ8PRvcGoFt4vj8f0AoVhfd4PMbIPnUhkXqvnTv+fiOjESr2Bp57U2ev39MCn5HX8SR19Gm86Np/FcKntw0VMfmGY1Ix8jrhIsd3d8rwN09h7pw9q1KKu62A5ZrmNwc5kYKdoXtpEva8AIdJuGhndER2LsSa3aHlo30phGpGH/lMdguHA+60zJECclyhNIkwLc4hE0Yj7ast+Xc90Lw7FTIbO/7sbv3EY0+rV6/XNU+6llakSQsp/lengiMC2HrPTq64V3dsp+5zk7hXkXxeoUIFwVq3oBnKJnCkJNcT1gjlPe3M8705zb3pcDKZWOIyasKLqOH/u1vJF+6fo9TlN/MVKlT48jBaS/7fJ45eDg3jj+ql1ApJtlzXLHnNzsDRDDUzsWYmUvzr1ToPuwWPupaB9SyUgTf3Dy2NyLM7sHytZbjRMHy4X/C4a7nZNNyo6zON7R8tRfzeQshfPB7w6/2cZ13LQhmi0gg1n7ULrPNMRxqNZ3voWYwVDWA29LyzFLGfOTZSS2bFE9x7z8BKeE8390KypZat1GJQzNU0s5E+IipHoTzjG9/L1PfPq7O+PRexmCj+7YOUdxqGofOsdYYcZpZYKUKjqAUK6xTdTGwxIj02yg0YzVE4jkfCiAovCkiHZzoSn8nbDUPNQBSIP/xUrDDKczDwBAHkVjEVSXq6VqC0bND7VsjLoZNRzkiro1H6uVgRG4XRilogzfVrDWgECo0QlYeF4tkAdJFjvSNzsNa1aI4b7Ss1w82mppuLYjT3MsFklHgxf7xvSYzidlMzFSqG7uQU0QiVT3GFCieRe8+TnuVR1zET6yPhy8B69jPHbmrZHVj+Ywq3mopbzYB6oGgEiiddy1pHJoC+Mx/xoFOw2bdsDRyxlkZTqybX+s2GXHfr/YIP93L+YDE8ERS2N3TMROIt/MlBRj3g6DnjGBf4rDQ0j9oFyYRQ3dN40bX/KoRPbxuqlbXCl47bTfGWeBH/FxvFjUbAv7qZfC5C67wAh0m4aGf0iOxUit9biElzsHgOhv5IqbRUdmUjI8ndpxVKkwjTkSfk6VH3ce+ckWz+ScfSt2eJv9Pq1Qdt6GaejYFjuaa5NxWVHSg4GFqch3t1x72G54PPQeJeZfJ5hQoVBKPCZ+Txv9YRgrAZlOoWLz5qznu+ORuilbpS64/XXa3/ujfrKlSoIBitJX+wGPPrvYyBB2+FBFusaeZiQ2xEObM1kLFApaAe6iOF9lLNyNhg35EY8R784UJIEEhqa2oV/82NhNlYszd0POxYDvOzje125lhpFBxkjjtNw+HQH40hRhpmaobECKkZGsdcYrjmPLGW2nSlZpiJNBv9gqd9x85QjleXpF2v8DRiCTx0wHYq/pPLdRlHHoXyXJb0umid5STf5mjNXus4AlUq5a2oFLuZPwq2CdQxKanVcSZQ3x6nZjsvPpA1I76Pt5qG92cC/t1aylLNcK2mWe9blFe0c4tGas5WqHjUtXRzL6PwXtEKZIRflUSpELvy2lpDMzL0CkvNyOtnDppKbEpmYsNOB4ZWYXPHww5oLfe4xCjauUd7z3qvoG8N35yLSHNPO3McZp7fHFruNjVziWKxDOn4h52C7yyER353I1Q+xRUqnEVhPfc7lvnEHJGSG6lloy/qyX4h1/N8DTZSR+ELrtUNrVAaTaMQsOW6wTlp0rw/HRw13a0/3l8OrGerVDsP3Mlk7o2eoxGKIOh2U5oYC8lkpfpI4PO9+ZAP93JuTQjVHcdFrv1XIXx621CtrBW+dExFmndqnk/7muvnKASv0h/s7pThk8PiRJflNITsc/z2IGc50fyfD3muym+c7KwHmnszomZ6f0adUTMVZaf49PlMIkzHU8nHMSIrx2Xz1sO70wGNUE0k/o437PLLxsd8TitQN0oDpZclcduZ46/XU36yldMIFLFWrDQMyzVNPdCXTj6vUKGCYFT4jCvJN8tNbu48oVbcbMq1NvKwfRVkYkUAVqhQ4SqwXA/4gYb13km1zQiJUSzWNPfbljtNUTGOUA80d1ua283jGvG8euJ6g3PXq6lIMxUK4XW7FXBjbPBkeyBKSO89aeGZSwyxVrQzWBx7qcQoZiLxmPyzu3UMnr/dyLg3HfDbwwJVEmkGaSQ5LyPFADWjud7Qlya9LpqEu90vGBaWX+1aZhJFHHiM1qRWSMbCic9jZiUNu7Dyb1vOdlvES9I48YJUyM8VcG865E4rYCkRdenTnhWv9cjwzlTA7y8a9jPH466k2bQzRyOQMfhQK8JyZDyzMhqeOxh6R6AUd1qamjE4wDrxEy3KkKRu4STBW0O/UBR4lPf0csdSXeO1kJI1o1BKEzkZ3/76tEGh2EhhuWbIrKdXeJT1fHJgMQZq2rPez/nJsyFzNc18ZHh3RmxRfn8xqqZ9KlQYQ2RgaP0ZUlL8az2HmaUeSN1qlKjfhw4edgruTYdlCBhspxatIC1UGXglSK1jqQwN2x2INcXXpgMSo0pbM7kex6cM5xPDo65ld2i5UZ+gmiwFPrFRXKvJmnCe5dFFOYhXIXx621ARkxVeC9xreMCxU/rJvEp/sOcFOHgvydqPOsX/z967BMmV3Wd+v/859958Z70fAApAobvRzW4+JDZFyRppRh6atuxwSF6NvbC9sxfeOLzwyhF2eOmNF47wbsbhsB2zGC/G4ZA3o+fMBEVxSEqi2Oxms9FoPAuo9yvf995zjhcns5BVyKwqAFVAATi/CAbZjWLiVlZl5v9+5/t/38Hg9f5kRKJHi30Djoqdw7mYR91MjzuGhaJ+6vsZJZgulBT3GznWHV7XbGYWheNuw2dKinPspo7Fsj5oyz5J+DtOWFg95prGsZta3q9rPt1O+elGymc7GYtlTdL/voft+stVHQKAA4Hn4OjgM7gxHxXaPZxhC0FMDAQCF48bdU1uLbHyTjqFd7McOMAz74b8tZmI7a7rl6i4M58RRYQPpyIete2ha6hGipWewTrHdFExnXgBcTMT5pInjhfrHJlzXCrHh7KAC8o7Kgc36oNJR4lQ0I7PdzIiEdbaig8m/eHRaaJuxhUtDA7WV1vGuzYF/mq1h+C4XtfspxbjfJ5n1zmU+JXzzPazHh2g/HOvFfRy/7+L2h+q5wZ6+Jb0j6Y135qO+cl66h2VueW9esREQfGoY7jbhMdt75S8VFI8aBkqkeIfXPa5nrcbhtw4HrYNtUSoRr4kqKA0c2VFVQv3WoadruFS2btWB+6pm/WIndRyey9DcDRzeLemKWhFL3dEygvBIt6BmVlhKhHuNS1TieLmhGal7d22jcxyqSTMFoS1rqVpQTnHrrYUdERm4G4z5+ZExMczEc65sOkTCPRJjfgiKedIrRcmB+91jcweeh3Gyr/FXK9p/nYj40rV9mPPfKxDo+cPoDZ7/j63oL1gWI2E3dTxoGW4XnviNB+ONRveMixq4VpF86BpuVRyT5mEzJBJ6PtLRURefKvoWe+ZQyTE04RnJPBSOClnUARuVh0LS8VzXw88rsDhbtNwdz9nouCDtt+tR1Ri/wZznNh3VOwc52ZS4k9o/+N3y1w+knsxSjA92kqu+qHuXeNXbuZLXpQ8Wl4DZ9P8dZyIO8zA4t7K4V4zx+GYTJRvZsR/SEwmHNj1AW7UohAAHAg8I2HwCQQCbxKDOeNqVR9azc6tF5euVjULJU2ihQdNw82JiM2uPfMZMXfwXj3mSsVxr5HzxW7OZs+y1zMY51BIv0RFUPgsxgGDEsHJguLrU9FTWcDz/abZ1Y4XXova32RvdXJ2Use1quI7cwWWKtGpo26OFi0MH6xrkf6BuF8jf9TKSTRMFSOuVjUifp1cK78CLQIzRb+q3c4cZQUItDI/t2nAWUjxN/SJgvcnFd+7UmKja73jEEc7d9ycjalGiqmCd0pudgx3G15Y/L1LBZzAbs9Riiy58yJAeTcjs4JWMFtU1Psr6a3cxwsVI+FKv4hG9VfQi32n02bbMJs4apFf83dAM7Ukzpc39vrzci1RVCJY6xifYUm/UCcWKrGiFPkZf6Lgn89u7mjnlrtNw2/MRXy7HtPKHX+ykqKUCjNrINAn0rBci7jXMPSsPchwBGikjkI/M7adO6YK/r6vrBVzJcW9huHmpDpwkn+RWb47kTBb0mz1fLnVTMHHki1VND3j3dnC4VgzgMWKYqX5JOfxclnRzr1x5ySTkIi88FbRs94zh0iIpwnPSOBcOW3+TdzPrznJ0XOSwHnaopVRmWupsdzZz9ACjQyWa5rlI28a48S+cWLnsJtp2Ap+VJQ87jGG3Ze+IdJRUo7cCY3UPVVec/R6X0T4O7aFt8/g+1quKu63DPMlxY/X8kPrVgMGdv37jfxgrTsEAAcCpycMPoFA4E3i6JxxoxZzo3b4awZzxsez8bkJQrEIuXWsdwzrHctM0R8MZ9by2XZGM3fc2jNMJo75Iig3cNT4OexaTVOJ/M3tv3rUeyoLuKgV79WE/cxyay8/aBH/aCriaiXiRt1/X7OaU0XdHC1aGBysTxcORwg1MkM5UmTWsd01gOZqJcKRU1RCM3M8aPq286I4jPKr2zMFhVaWRupXp/O+IDlbgFqi+a2FAiLCWsdSi2C961ezK/0D8oFweKmksf2tnmu1Jwfozjk2uoavTcb801ttlPjPrN2epWssmYGJguIPryd8tpPTzi098bFDfv3cuyQbuc/6XCxAvRqxn1nW2pau9S7PaqyoRL48B+dn6E5uaWeQGe/I6vUbgAdja884DA4F7KWOX+3m5NabAbas4W82s7DpEwj0ifuioYjwpw873uXYN+Nk1h/iOITpomIiFnLn359u1CIeNA17qXepVyLBOZ952zWOUqT4d5dify/ef09bbZkDV6RxEA1tBS2UfK6kf5fzjd1XqhHfmolPZRJ60a2iZ7lnPotoujeRcMcSOFdOm39TbQk3q+NDYE8SOH+5k5EoH8QdazmxaGVU5trtfT94vDMZsVDyWTKjGCf2nUXBxLjHWKpotPgGsaISHrQMtVi4Un2S2ziOFxX+Tvt9WQdaLFpkbJs4cGDXX+tYbtRUCAAOBJ6BMPgEAoE3jbMs6HpebtQ1f7HSZTd1h7IuI624Uo1YbRtmi37171Eb6sr5leKqZq6oaGSOj/rvucdlAWsRipHwO5cSZgvat0pnh2eg02y8DBcttHPL/cbToiTAdte3gm92ITeWL3Yt00VFaqDpDJMFzWTi57aeg0jBbKKpJt5NeXNCMVXwK9StzBcQTSeKhaLiUdvQMQ4Qlmv+ORpV2Jha2Owa/uR+l+mSn89nSkI99s7D/2jZ8qP1lNR4ITFWwkL5yXy7mwI4GpnlQcswlfiMuqWqxtiYT9veCZUoYSpRvFPX7KeOSiyHPiMtIAjt3CEISgldY+kax3bXr5wqBZHzXwte/NjuGuoJaIlo5g7rUr49E/GNgfIcCLzFDDZ5btSiAyPOTs9hDDgn1AswUdAkSmjmjrl+232kvFj5nbnEl7g2DaVI2OlZ3h9zLz7cvdDMLFeHTDnlSHG9qg9izpq5f494FpPQizLqs8z1D7E2uualfJa9zgRhMnBujMu/GWYwfH2yJlwqjhenThI4b+9n/NVWxq/NRFyqJE/9+bjT5+HTkT+6C9+cFuJThNGOEvvOomDiuMf49ZmYa7UStVjxz++0me1b20/iRYW/035ff3S3c3B6P65NfEA1grW24UYtCgHAgcAzchFu4gOBQOCsOI+CrmdlqqD4ct9QjvquHBwaYbqkmEp8bc1qx/iW7Qy+W7XUYqjEfl16+D33uCzgO42MYv8AHbzzb9TcedLGy/DfsdaxZNavKW93nc+HFJguCp3c0jM+/3I79cKjtV583ekpVlq+MVsjlGNFvQDXajHXqpp7+34l3eDnumrsC2UqWtjP/d97taKZLfoG9XZuaWWWiUTRNY6dnuH2vmG7ZxEc9URxqZoQK+HLvZyFks8l/9pkzIOWZbY4+n5hIEbMlyMKkeK7c8nQgbzj7x49ERI7xm8W3G5k9AwM9170LJQi/5zo/mdmI/Nr28ZCNfblO23rV8Zj8S5RLcJ6xzFVgJmC8KBh+NeP0yBMBgIc3uSpRIpiJFzuF4jNlYSNjnc6W+fd5VP9976B43Hw/liNFf/OlSIPWmbse8GgeyHrHx4MSnEGDDYd7zRympnjWwWfCfuy5uNRn2U7uS/5+vglfZa9zgRhMnBuDPJvesb5zKB+EHckhxuatQgaeNwVvj3icU4SONu55WHTh+E+aFkWy/YpB+Gznj6fxHFi31kUTJz0GK+i+eukaxp+/o7mfBxF9+39EHLwAoFn5SLcxAcCgcBZ87IKuo7G/kTAvWbGTi9ns6OYLUJRhK5xfLGbs9u1aO2wxpJaIdbCJ0bxUdUdutn0j5txv5nxoGWYTvSheRdgtWUPRd0MXD2jOG7jZeBSmikofr6RspsaIiWUtBc0rfM5kl/t5zRyx1QMpVjTSC17maMWw2xBqEXC465iL7XMFP28/LUJzcdzBap9kWFwyDxYyf7u/EAY7DIRe2do7nwTrnGOR+2c9Y5lP7W0M8dUIth+/NCv9nzmZiUS3u+7/4FjNwEWSoq7jYztLrxzJE99oaSpRo6efSJ8zJciHPCzzZRiv1jDOd+sPpEIqRE6xresl7Rjz/h19Vbu28Ij8f/cs1DWQF+k3OkZqpGmFPkynP3Uhq2EwFvPoU2esvC4ZQ/u/6YKmrWOJbeWVu4PGYrav76HHY+D+KEPp2KqsYx9LyhHiqWq5ud9M9JTG4P9rEjrYDIRQNjs2Zc+Hw9/lt1KfSLxzZBLeyJBDQicG1/t5ez0LL/YNoeCuEc1NNc0rHRHv1EcDfg+ylrHokSI+4Hk6x3Dcu3px3qW0+eTeNUuv4tYgDH8/B3N+TiKcT6LKOTgBQLPT2jZDgQCgdMzLhboF9sZ/9+9LjhHpPwaom+RtaQGOsaS9rxjcL6kKEXCXhuc+APWioZPt9ODx71ei9juWWL99Lw7HHUzENIWSqPn3+MOwQcupa8aOY87hvmioNVwASIkzq8mGwe5Exy+EbedWVbaPgeyEgnv1xWNzAt4i2XFt+cKlCJ16JB5UPAzXLQ4vB3TzCzLNc1KM+f2vmG64IXdSl+4BEc5EspafNlRRfGLrZyedfxsM+UPrhf7WeX2qU2AVu6ox74N/Wrl8FRZjhQ3y44f7Qql1HK5GlHUwvVqRCO1fNnIKSm/UjrVLyFa61iamaUgsJf5+DqFf56chW7/saXf3JtYi1YRIt4xWo6EREkobgwE+gwciH+9adlNLcVISMS/N5S1Yr1ruFH3bdrgc2wHjsej8UMnbQVVIuH3LiWk1q9Hj9oa+o255NjysMDFJKgBgXPjTjNnt2eZKahDmTejGppj8aeUIx9nf7zzDvzKzUDXqsaKx23Lcm30157m9PkiiX3juIgFGMPP39Gcj6PPaDOHyxUVcvACgUAgEAi8FI7GAjnn+NVuxg9WewcFjD3jV6H3eoa2AWcd9YJiMhEEYaEUocXx1b7Qy72z58u9jJ6Vw8WFtehgBpKheXcg5imeFvqOctwheD1RXKso/tntHtWYg3KIYfYzf3BfjmA/g641VCO/Rj5f1mTGz+IiwmTi2E4dV8qaVu6IlWO+qPhqP2e75xell+sR80XhTiNjtWV51MrZTS1XqholQjVW5M67Gm/t5fQMFBUIjl7mKETwuGUQHBtdy6WyYzoRtpzjLx/30P32XiXwdxlMF4RL5YivT0V8/0qBB03TFysOixFTseNy0ZEiJMqvbWqBDyZjBLjfNGiBrrEslSNsTbHVNfRs3x2p/Ep3z3rhFvx/C5CnkFuYSByJOLa6jqmJiHfqOhQ3BgJ9hjd5JuIOP1rPKEdCUQvfnotJTcRax7KXOkoRNFLLUtW/1zSyw1EYp90KGjjfw9bQm0MQJgPnwn7qW/HmS+qpIO4Bww3N8/l4p+JJK9bDp89afF7POE5z+nyRxL5xXMQCjKPP3yDn417ToPCi8WCFezc1XK3qkIMXCAQCgUDg3BkVC3S3afj5dkY1FlLjXYE9Aw9ahnqsyK0l0X49eqKg6eaORm6ZTBQ17XicCjfE8YPVlO9dKRyaxY7OQPVEuNfImC4oHrZyKpFiue5dlOM46RC8FCmWa5ov9x1bPctMQR+scXeMZb1rqcaCQ2OtpaiFjvHtt4JQjMBYx0rLEAl8Zy7hv/p6jQct07/Zh4WiomP8qvVmz/LTDb/FVIkVV2sR+9spd/Zy5sqaX+2kaIErZc1G21BSilbuyI0jA2ZjwThhqqBpG0czd1RiRdfA7f2M9yciUuuFzW/NRuylFtMf2Wux4uvTeqRYsVx2/PZUTjpT5YerPdY7hkRBQQvfmU/4eA72M0dRwXxZ85erMFXIaaTejTkop/DtwV6QFLyL0gLdHB53/J8WtaaeKC6X/fcQCASeUE8Uf7hc5r2J7CnH46WK5fZ+zlrHslhUzBU179THC4knbQWFraE3jyBMBs6F+82cxbKilTmSxK9z4WOWdQAAIABJREFU7KSW7Y49EijuhcsHPeG3J+3IxzppxXp4lWQQpDuOk06fL5rYdxwXrQBj1PO3XIuZL2mfMdq2pMbSzOB3FhK+t1QKJ1qBQCAQCATOnaOxQIMm69w4KpGwiWO1bTHWH66mzhH1CxtW2j4jrF5QNFJHQfvNHyWOL/b8+vZm11KNh0TGETNQO3dUI8dCSfPBZEx1aAZq55a1jj3IY1fihbXfmh+/Kny3Yfj6dMJSNeJfrnTpGotjkKuuaWeO/dQyX1Tsa2EnNVQixVxJ0TOW3PqZcTIWZkqKDyZjJgqaiYI+uNkfrL//yYMuK23D5YomET8P94wXDCsxvFPT/HQzZ6HoW69X2oZYvAkhVnCjEtEyjnrkm8NLWtjq+utd7xgK2guW1jkeNA2LZT2yvHKUGHEr9QLhzYUCH07FTwmXN2r6kPjxsGnY7MTc2s3p5o6O6ztH8f/RfvO83+INifb//bBtuVqBmxMRiVbkLgiTgcBRjnM8fv9KMTgaA2MJwmTgXLizb3inHvGzzfQgBFsLByHU1sFmx7DWMcwkwm6Psa3cJ61YD9r6JpPDQbqjOOn0+VWJfUeD2GMRbtQ118YU9cDFLMAY9fyVtLBUiajG/vn7cDIKuR+BQCAQCAReGkdjgQb55E78fNczECtIDRQ1NFJHJfZrvB3juLWXk2h/SL7aUdSdUFbCL7o9vjUTc7dhWK4dng292GhYbVly56hFyrv45grcaxpKkUPhnZv3GvlBHjviRbtKJPzVWsqHk3bk3DTYKJotan5jPnkqPufL3Qz6q9q1GFKjeW/Cr10Ptltmit4k0Mwc+6kbOY/OlRTlWPH1acVGx9LpN4kvVTUfz0asdx339jN2e16AvVaOiMRvF1kciVastHMEqEV+Blfi27DX2oZKLOR9b4Lq58GvdSw3aupU5ZXDnMZF9bjtcyw/mIz42VZKo+N/9hr/8x4sVg3+JoP/vUgttDPHnf56+781H1q5A4FxBEdj4FkJwmTgXMicY7Yv6t3eNyyU1KF1bC1Qifxp452GYcrBuM3ok1asF0qK+42czD0J0h3FaVawX7bYNy6IPXdway/n8938RCHvIr3xX0SxNBAIBAKBt43nOfB8kzkaCzTIJ7cWtnq+XVnwzctFZekYn32eGsiNX/FNTb8oRcA56CkhjSy7PcOjtuF6v+BG8K3N9xrmYO1Zi5Bbx/2WYa6UU1Cw0fH/v+2uZbaocAjNzGKB9yYilqsRBg45BocZ3igaFZ/jBIw4OsZiLMyXhG+OKWtpZIbHbcu/eNB9ah798XqPlZZ3Z35z2guRqy3Dw2bOaktYrGgmCgrlvLjXMo5KrDEWFsuKWAl39jMyC9upXzn36+aOuva5nsOzezWCtbbhRs1/TyeVVz4rIg7jhIWSZrJg2UtzjO2X3yj6Yq7/WmPBGCgnUAKKkXeEtnLDF3s51VjCYXsgEAicAUGYDJwLsQj7mT0Iwd7oGJRAST/JbOkY30i4XIvY2/WFKKM4acW6HCmWqpqfb2X82szoEPFnXcF+WWLf0SD2AbEwcoXldeEiiaWBQCAQCLwtnMWB55vI0VigQT65Ut4lJ0A99kUxm21o5X3HXL+x2Qp0LVQiKMeQp4IBetbRyaGWyEHBjeBGlv8JMFPQzJU06x3LXAEeNqEUCY3MESm4WtUslDSl/iyrYaxj8NBG0YjVcZz/3maKCo1wZcxGkQE2OxYRv+Z9dB7t5rBYUvxkrYcoYbGkqUZeMDQObu/l3NrLWKwoekaRWqhGwv2WIW950TfrP3c7XUctcqTOd4QXtL8fmBz6vgZ55MMcV145zGkEeeuESPl7kNw6KpHfjIqVkFlHZr34nBlIBZL+xlch8iL1o7bl+0tFrlb1azmjBwKBwEUkCJOBc+FGXfPnK120CFfKipmCYie17HT9OkvUXw2ZSnzodVyAx13h22Me76QV60ok/N6lhNTCRte88rzFcQwPTPup4dOdnPcnI3pGKEdP3yA86wpLIBAIBAKBt5c39cDzRTkaCzTIJ7f9ZmbnfBt3O7Ps5yD9MhTdL5MxblCwCBtdh+RCSzuu1oWVtuE3qwnTBeHL3QwnfnvnqAzYzGGpqg9mu7/dTFkoK65Wj59NxzkGR20UlSPFjZriRg1wsJsa1jsWkcPi3wCDdydaYKmiDmVwDtbQP9lJyY0lc1CLFMtVfZDnHglY592n6x3LRtdQizULpYjFsmKrY9ntWbZ7FuOERMF+7kuFClpoZ45LFU1RP/ldNX2RcJjjyivBO1g/3U5PJchfLit6udDMfPFNrIRIhNQ4RPzf1TO+pXsgThci//PvIUwn4p2xYUYPBAKBMyMIk6ckrMQ8G9eqEav9Vm6AohYulTSXjqxZW+do546rBcdKd/zzeNoV4cHP6aKtEI9yMGz3HCUNj1qWh03DtcEK0BEHw1mvsAQCgUAgEHjzGNU8PWC4XKVnHT/bTPnDZcdHU/FbMcceFfEG+eRKwXRB8aCVs9tz7PS8Wy7RPlNQgAz6pTKDQhSHAawVGjnk1mKsRUnEfmYRx8h51zrHQn8u1iJsdi0Tyelcq6McgydtFC1WNKm1lCNBgK7xhT66XxY5WBuvRmCs4nIlAucO1tBz60gtbLYN2z1HpBxr4vMZvzP3JF9xu+voWoexkIhgrJ/bZwoaQfx6fL/sZqoodFrw4VTEdg5zZcXikedqIOAOc1x5JcCXLaGpTyfIXyprtnuGSgLRrndnliKII0it0HVeoIwFIgXlWHxGvnMsVIQr1ehgVg8zeiAQCJwNQZg8gbAS83zUE8VCWbHbs8wUfOHNUaxzbPccy/WI2MDOmFXuo4973IrwRV0hHuVgWGs7Jgq6f9rMwQrQIFNnmNOusAQCgUAgEHg7+Wwn41Er56s9DrZTFspCamC1Yw/KVSqRsOUcP1nv8bBl3oo59qiIN8gnz41jt2vY6jh2epbU+dXd3Po16tR6MVLjBUulILPeoVdVfn6bSIQv9gzX6r7Q5ejzODzvDscNFZSw0bHcnBh/3QNB+XErZzu1OMchY8RxG0VaYC91fGcuZqGkWe9aVtuW3HqBcrA2/jcbKcXIZ7bfbebc2c/pWfoxTEIhEnRqKUe+zfvn2xmJFr4xnSD4rMi9nqUSKzKnfBllblH460mUI7OWlbZluwezRZgrKW7UFa3ssAvyqIA74LjyymYOtzvCNxeeFmcHDG8gXa9p1jqa3dTx67MxP1y1ZNYRKU2ioBZD21hwQqz8hlctFnZ6lvlSzEL5sGgaZvRAIBB4cYIweQJhJeb5uVGN2Iwtj1o+X7LaX4Mwzg8R1vkhbbmqubfzJPfnTWOcgyEfWr1RIkwX4H4jZ6GknsrJPGmF5XUhOI8DAU94LQQCgbNicIj+/97tUNYwUdAH+X8/28hY61reqWsul5+M/ZMFTcc4ZovqrZljh0U8wWccPmwZ1juGWPsZtaj9GnfmwPWbojX9NW4HSX/FO8KLl9VY8dGk5nbDsNExtHJLUauD1fCj8+4wBQ09M3q2c84dausuamE6UVRiecoYMW6j6NdnYm5ORNxtGIqR4kZN+xXvIYxzbPYs35z2z829pqFnYb1tqMXSNxYIWnn3aFErBMdX+4aJJOdaNaJr+k+UCLFy1BLN1yZitnuGr/oN1pEIH0xG7KeW2ZICFJsdy15qqcR+lXqcgHtSeeXjrvR/RsffSAzcjSAsljX1xJJazVwpYrNrqMcgosicJc+EeuLdpSUNrcxRi4WZvqg9zJsyowcCgcCrJAiTx3DcSsyAkAE4nncmIsxezpWKZq1jWWsbMuuIlbBU1YcEuIaB5ZJ9xVd8Ptxv5mh5emAa5BsNoiVVf2Ba61hu1A7/Ho1aYXmdhI3gPA4EPOG1EAgEzprBIXo58vl3g7eO3DpaxjFfUqx3LErMwdqsz0t0b9UcOxwL9BcrHRqpYyIR1joK6xy1BDLjUAKSQ4p3SVrnXZO239Zc7uchViNfmIMopouwVNHs9yx7mWUvGz3vDjNX0tzZH70udLdpuLufM13w4uBuarla1cRKRhojxm0MOeeoRNnYjHbr4J1axFJFs9I25Max0RkWJQfFQIpm5ryAq4RSBHcauW/TduCc0MktM0WFEh/hJEA18qvag8e618xIDYBjuqjY6Rl+tZNxqeJvSY8KuKcpr3zYVdT06YTByUSx0bV8NBXz6U7O31vQlLTjzx5adnqOYuRz6k3scM6RRJrUehF5oaS5ORk/9bM8ac08EAgEAicThMljGCcoHSXki4xmkOdT0MKNWjRyRRn80GGAS8U387Txzr5hYsQwtVhRrDQP/1k18iHkR5+r4RWW0wobSxXNg5a5EMJlcB4HAp7wWggEAmfJ8CH63f3DB547PYPCH4RWY2G140WXou5/nXp7c/IyJ/wH10v8eE1ztZrzo7WUVj9bMLNCKXIHhTdRv7k70f45q8eKZhfAUUuEjrFcLit2U8eNiQgBvj1bOOEKoKCFmYI6VF4Dfn37fuOJKGnwwuj8UBbjaQXl02S032vk3NrLWW1ZUjs4KJehvwuqiULEsdWzlLSjm8Nqy2AdbHb9evj1qmYy8a3ce6nliz1DbiwbPdAI1USoRoqFsmapqn0WfVnxsGn6jeQRl/pr0pl1py6vzId+509i4G4cds9+MJmwUIr4yXrKw5ahk/u/VyuYjL0Qu1DSfDyXPOV6hePXzAOBQCBwOsK76DGME5RGEfJFnuakUG54chL6bskxZkPjtSfr5zwdZaGkud80vvWx/++0+GFsmKMrLCcKG9byLx50EfzJ86t2ZAXncSDgCa+FQCBw1gwfog8KXSb72uJ211Hqu/tU/z+7qWWxpGlm3oE34G2aY4efs9w5btQiHrUtq+2clnFkuZ/H2rnDwYFIlfTjiAYt3YmCSqRInWOmqOjklsVyhCBPiY1HMc5R0MJvLxa41zSHM8g79kAcNMBuz7Jc00859Z5FUD4ug31gJEitZbdnDn5nBtRiYS/1c3orB4fQzB1OoJn5Isc94/jlbs6DZs7liuZROyc1UIu9g9JYx2rLUo1h1ipuVCNu1Pzfs9E1XClrKrE8V3nlwAF6GgbuxlGC7d+/rFhtG3Z7hkbqeNQ2LFU0X5tKuD7i+YeT18wDgVdBM/cRB5/f7bxyc0ogcFrCu+gxjBOURhHyRUZzXCj38EloPCZj500g7ouCRzM0y5HielVzt2GYLCg0ftCNh9ZBjq6wnEbYeNAyNDLr140iOXi8V+XICs7jwJtIM4dfbKfP5EgOr4VAIHDWDB+iDwpdrPOuN+NgeMO0pBVbXctcST/lwHub5tjh5ywSwSC8OxERifCobWi6nHbuD40dECufrdg1DiW+yEXEMRc7UutYLPtMz2bm+M6sf88+zaH8wAlYjQ+vWj9u5RS1X9+2wHJNszxG+DpOUD5t5M/ASPDTtZTUuBHCpGK7l7PeMSglzBcVFtjtWhy+/CcWTWYt91qGtvEu08nEZ202MkfXgMLRyOCL/Zy/XO3y7bkC5UgdrFf/1kLpucorl4qWu53T3a8ddTceJ9h+up2e+ucYxJ7ARWCwVfeDbYUW+Nq8HGtOeZ1iwQJvPkGYPIZxgtIoQr7IaE6zQlKLFbe2XvWVnh836ppbezmzxafXPwaD5r2mX7cyFq7V9NgVlpOEjXZuudc0TBc1jdSNzKt82Y6s4DwOvEk457jVFG63haVi/kyO5PBaCAQCZ83wIXo5UlyrRf1sQu/6s/11ZPAiZWbdSAfe2zTHDj9ng1idqUSxFhuWqprtjl/j3tCWRmrJHSh8y7Rx0MgcC9pR0DBbVBSVFzR/ZyE5tHJ80qH84HPi6Jy8nVqmE3XQml0a4dQbMEpQHogTf72RsZMaWpnD9fMxv2oI0wXNx7Pxoc+pj6Zifnsx5p/eyhGxVCN1kK+ZWodWfv39cuLdhtsdg3GOyUiYL0bcy3MQYa6o0EpoZ7DdtTQy/zxVIkVJCz0Dl8qaT3dyWgben4i4XtEH38PzCCWXio7bndO5VE9yNw7//am1bHYMKy0v4l8q67E/x0DgIjDYqpuJ/fv9OHPK4P0g5J0HLhJBmDyG4wSlo4R8keM57kTydeF5T5UGKzIjByYRlmsx8yXN43bOF7uGSAnt3I1cYTlJ2FjrGN9MyPi8Sni5jqzgPA68SXy2k/FlWzEbu0OfDadxJIfXQiAQOGuOHqIPMvDuN3JiJTRzQz32DrdW5ujZ0Q68t2mOHX7OBrE6sRYWS5rHLcN0KWK3Z5gtKqy1ZBa0UjhrKWtYqkYsuJRy5JgqaOZKimsS8Q+vlA5u4k9zKD/M8JzsHFRiObRBM45RgvKn2yl//LBHI7fEoqhGvl3aOGhmsJdmbHQMzjm+MeOzMEWEf3ilxC93cx61DKkDY/wK+1xJUY+FWHJ6RsiNZT+zzBUUtVj5701Dz3oRVkSIxPnSnq5jqqSIldDJHVNFRSVSOKxvHm/4Ysy5oubT7fS5hJJqBO+WvHvxed2Nx4m5kTgeNBx7PctCWVHQ6tRr5oHAy2J4q251zFvHwJzypw+7TBU112s65J0HLgxvxwTynBwrKA0R8kUuFmdtS3/RFt3TZG0WtFCONP/pzcKxHwAnCRurLUulPySNyqsc5mU5soLzOPCmMBj6ZmPHuF/T4xzJ4bUQCATOmqOH6CK+cHChpLjbMPxw1dDILYlSlGPhu1Mxy7XDDq+3bY4dfs6GY3Xmiv79erVjmClocuc3UTILiRa+NlXgH1wq8LXJmJWVJgCL88lYwet5D+VfxBixn1r+dKVHI7PMFNShEptIYDIB6xRbPf9112rxwXXXE8X3Lhf4Z7c7XCkrmqllu+vY6DhWWobpRJgo+LiAUiTkCAUlzJUU709E/HQjpZUD1pEZS8f4wqC91FGJ/Uq4FyNzMguPmoZvziZ8spXzm/PqhYrh3qs4sqnoVC7VURwr5uZC7ixd400DAzE3ELhInDYuqGccjzuGyWLIOw9cLN6OCeQ5eZbylpAv8up5UQERRoua1ll2U17oVOm0WZsnrYOcJGzkQyL60bzKo7wsR1ZwHgfeFAZD30l64ThHcngtBAKBs2bcIXo5Unw0pShFwt39nImC0Mgc145sUbyNc+zR52w4VqeohffqEfupZb1jmClq6olioaT51kzMYjnCAZmFhoGoa898nfdFjBG/3El53DZcrehDouQwSnwb+P2W4fOdlN9cKB782W/MJfx4vcefrqTUYmEqURQ0gGO957A9S6TgRllztRazOJRTWi8oZopCIzVspX71uwAIjlqkaOQWAQpKiCNoG9joGFbbBsHxh8ul5xZKRJ7dpTrgRcTcQOCicHSrrmPgTiNntWXI+8aWxYqmk1uqkbDRsbxbH/94Ie888LIJdz0ncFaCUuD8ObGt+hgBcZyouZ9ZfriaUokFEb8idVTUPM2p0mmzNk/iJGEj6ofdR+LLOZaq4wWQl+XIOu2A3cgM9xo5uXH8ai8PAcyBC8dg6Fs/xdeOciQHF34gEDhrTjpEX65qrHN8spVxvaaJleCce6vn2FHP2SBWZ61jWG1bilqYLkT8h9divrdUwjkOzW9dKyyXLH//avHM13lfxBjx042s34R9/HynRKhFip9uZIeEyV/u5syVIv79q8Ivd3L2MndwGD5b8CvZdxqGYkUOiZIAGiFSwlRBM9WDd4qw2bHsdA2t3M+mWgnlCIpa/E2o86VND5qWBy3Dcm38c3kaoeR5XKovKuYGAheBwVadc46HHeFRT5hNDNXIv3aMg4dNw+e7KVfKGiV25OO0c+vfB1uWrrH83WbGP4JwPxY4d8JdzwmclaAUOF9O01Z9nIA4TtTc7lkmE0Ut9o4D4IUyG180a3OqoLi7n/OrnQwL/dMvf5JfjtRBiHstFqxzLJTG/26+LEfWSQO2c46vGjmfbGUs1zSzpSfh4iGAOXCReNGMyODCDwQC58FJh+jVWPGfvFuiFCnuNcMcC6Ofs5IWlioR1dgLtkdnj+H57VZuAM7tuXteY8SjtmG+eLprqie+tGfAYJZeKGsuVyJu1OMDobYSC3upY6mqUf0inK5xFPvNSl3jsDhu7eUYC21jUAh7qWU7c8wVXX+Lx/lyRuOYKyrmS4rHbYPD8KcPeyzXcir9eXYw2w5zHjFELyrmBgIXgcFW3cOWYaUr1COYTPzrdKNn2e5YDI7NjqGVWZYqR+4BneNuM+dew6AFKrGiHClW24Y/W+my1rYslhTL9Yh36lEQKgNnThAmT8mbUN7yJnPaXI1RAuJxouYgs1EJTBd8mPxCST01KMH5ZjYOOzq1gk7qmC0qHMJK03C/abhe1cwXFXcbOVs9x416PPI64eU7so4bsD/ZTnnQNHxrJuKdWuz3cQgBzIGLx2DoOw3jHMnBhR8IBM6aZzlE/+bMK77YC8KrNB4cjQ3KjS+PSY0QaQ5tjJz2+gaPeXsvZ60FBa2YLimmEnUgHo5k6DPt6CxdjhQ3aoobNWjnMT/ZSJlIFA64t5+z0zMsljSrHcNax2KsA3HEGrSB1Y6jZ2AyFuqxomN8y7dSUBGHBn62lfK47YiwXK0JnVyYKepDs+1yNTqYDc8jhuhFxNxA4KJwo675+VbG/UZOPfKxQ6v9qAQtUNRefC9ooZk5vtrP+Wwn48PJCBHhbv99ZrKg0Pi3hpWW4WHLUI59ydduatnsGowjGEcCZ04QJgNvBCe1VQ9zVEA8TtQczmxUfVFzrWO5MWLV5DwzG4cdnQulhLtNw/2GFzaqkYDAl3s5Oz1FPfLtm1cr40XJl+3IGncDkFtwFr5/pUAlHr12HgKYAxeFQZTCaRjnSA4u/EAgcF6EQ/Rn52U+Z0/FBsXCw5bhq31Dz3r34XItYqmiD22MfH0q5htjDmaPPuZiWdHKLImGjY5lrW1YKGsmE2E3dQeuKY2gxPFO/cnn1HGz9HBJ0GQiPIpgs+cAw1rbUo0F8DmmuXWIUiTa0jV+jhMRFssK6xwbXYMSTcdYGpkjEsd0UZM5+MVOTiFSLJY0Frjb8CLgoLDpXGKInnV0P/949sAxnHXJ6ZvCtWrEnzzsAl6U3EghbRuqsWL4WZkoKLrGMldU/GIrpRQJCyXvpi9Gwno7Z7vr2OwZNjuW9+qaovbZsFFR86htuVKJKGgJxpHAmXJhhUkR+c+A/6v/j/+lc+6fvMrrCVxsXmTF8rhBbDizEaAawVrbjFznPq/MxlGOzkHj5lp/6MysoxQJ1sE/erfEbur6jixzoRxZR28AfrGdEivGipIDQgBz4Lw5zaA7yIi07vgCnNM4koOAEAgEAm8XR2ODfrmT8sl2Rm4dDhAHm11LamK+NpWcamNk8JjVGDa7DmPh9r5hsuCYSISKFj7fzhAlTBcUJQ0KIQceNi2Xq45Pt1M+mopPnKWHS4JqWnjYNmRGqERC24B1jg8mYzY7OY3c0DK+zbwcC43UocTSyi2CMJHARhcKkZBb/5lbiRTt3LLa8mLkpZJmsuAFk/n+Wvd5xBBdrii2u5aZUxTT7aWWK2MO/gPny1mUnL7J1BNFQcGudaQGtjLhUu2wKGmdA4R6LNQSRWYd9xs57UzYahtaxqEALdDOLOXI3z9+vpuxUPIHBgpY75h+Lm8wjgTOjgspTIrIVeB/BZpA9RVfTuA14KS26mGOCojHDWKDzMaBcKkFmpkd2XKmBX595uzFvnGOzicrNk9exhtdw27qXhtH1os4XQNnz0U/hT6P63uWQXeQEflnj4XZeLRlImREBgKBQOAohw6Zgc93Uv7lox61WChHPjLIOmjnhr943MMBH04ef+O/n1o+28lo545f7Rq0CFermvWOoZ1bdnrCw8xhnaMSCUlfELVAKzUsVTW/NpMciJ8nztJDJUEPm4qNbpfdnqObQzkG52C1bbjX9ILGRKy53zT0DFgvvVLWimrsnZXgP4PL2pfOGOtn6losrLXNwRr6QAi5WpVziSH6zlyB/+dOm0ngOGnSAK3c8ftzhTP9+wOn40VKTt8UTpqDF8qaaiz8+YbPfXXOH3pY6EcpOK5WNTifHSni17v/zVqKiDCZCEqEzZ4hs8KlimKq4AvU1tq+LGeuFPG4bVmuBeNI4Gy5cMKk+COO/x3YAv458N++2isKvA6c1FY9zNHT1uMGsYWSH6oMoJxjpWVYaRsKWh1qObvfyNlLLe/VI5xzZ3pS97zi3evgyHrRMpHA2XDRT6HP8/qeddD9aCrmXtlyuyMUuxfLkRwIBAKBi8nwIfPdRsbPtzOqsRw6KDbOkVphr2v4o7sdvpjM+NZsQjTmxv9+M+dx27Dbc0wXpF/eIrw/GfGr3ZxWZmlmFq0EZRx7qaMUOXLnKEeK78wm1GJNOfJbNksVzeO2OXGWLkeKqaLm7y0WEHzWnF/Jhlj5wo1qrIiUECvY6TkKkdDOHNVYcAi7qcHhP2s7xiHKsNJ2LFUUufNC5U5quVTSVGPFSsvP3udx6PfRVMyPVjXbXcN0UY8UJw2w3TVcKmk+DJ/vL50XLTl93TntHBwrYakaMxVBSSCzHJho5o5kzhoHK21DKzPcbeb82nSMA5q5P2BfKCmm+8+hEqEa+zizyYKPaxgQjCOBs+LCCZPAfw18D/i3+/8dCJzIYMXSDGVCjmLUiuVxouZwpk7XWO41Lct1n9UzQAQcjm9MR9xrGqpxdqanRm+yePciTtfA2XHRT6HP6/qed9C9WXVcKjriiehCO5IDgUAgcDEYHDK3c8utvZyNrqGX9/MW8Y6mtL/6XIkht8JO6vhqLweBvZ596vDts+2cnZ5lpnC4UXqx5OfZz3Zy4tyhXL8JW+V8OBlTizXvTcYsV/3XDVxPCodxnHqWbmWOrnHcnIwPiXmfbmckCkQJqYUkMygcKy3LRAKRsnQyS6IFp/33PJMIxlqaGXyxlzNbFLSzzBUUzcyxm1n+4JwO/eqJ4vtLRf74YZedniEWLaddAAAgAElEQVQSL6xq8eJNM7PkzlGL/de9SYLX68KLlJy+CZx2Di4ox15q0QoWY5g75vVSjTW/uxCx0c2xTmjlUNAwV1Jkxt/rDr/fKBEUjq2uYbLw5BX/ut17Bi4uF0qYFJEPgf8J+F+cc/9aRJ5bmLx169aZfE3g5fIiP5NyU/j5Y8Vs7Ebmv1kHm5nwXtmyZhxr/X+f5fBwR9GJRufGRYBqCZ/sKsRBjmOj5YeVtvXD5OXEkVhH7uDP1yCdspzVpsnmpqalHKfROjILXSvcys+mMfC8XyO6KXzeEaZPMWduZ7BcctxK394Pv/P4eTRz+MGOYiaC1WPmPXsOv9uv+vpuNYX1jpDHfsVlMxU2U//a1gKzCcwmjpL2v38/2HPcrPrfv2oEbN3jg+EH3ILVLVh93m828EK8iZ/pN2/efNWXEDiBkIkeOA2Zc0TAjzd63NnP2es56rEXUvYyx3bXkiioJYpiBBnefWiB2YLiq4bhJ+s9yrE6WOP8s5UOpci7LofP1kWES+XIl9JE0Mq9iFjUwrfnCtRjYT9z/GgtPXBTzZYUufWO/1ECyIBBXMn1quZvNlLm+qvpw0wXhY2OpaoEcOyk/nubKMByRbOfw05qcab//SWOjhGu12JqkbCfWdY7hqYSlidgsaK5GcfnKjR9fTpGBP56M2Wn552mgw2oaixMFTQfzyZhG+IVcWffECu408hYbdmhKC3FQj9/dMCb5uB7lkP0L3Zztro591qCVrCuM6aPOCXBr3Rb57hWi9noWj6eiZgvRwcbetsdi+XpaIOS9q30w67hYBwJnBUXRpgUkQg/2N0H/rtXfDmB15D3Kj5F43ZH0EBNc7Bi2TB+DeO9su1/3ROqEbxbcnzZHi1qCv5EajpxzMX+nxvGv3gWE8dMX7gA757UwOOuHAgYL8pS0XK3I0yfQphsGFgu2TP5e18Gl4qO2x05sUzEOv/zu1R8e0XJ8+Jx179eTpop1Dn8bp+G87y+h11FVTkedoRHPUGLo6j832eA9dTxuKe4XHDMJ46VruJm9WxE/0Ag8PoTMtEDpyUW4ctGzqfbhumSopM7BD+jNjNLrb860kgt1gnlSChpxVbXOyKNc/zfX3X4eDZmsRwRidAzfi37892MhbJmsaQZ/qhUCmZjzZwIqXG0cj8ffrKdoUUORRKttgy7WcZHk5qPJiM+38tRwti4EuscC2VFK4PCEb1wqqBZ61i2uobd1F9/5iB3lv3cf4+TiaLVM+xboay9YDldUAgwqzUTiWI3s3xrJqaVuzMvvDmKiIzNZ79R02Eb4hXinOPOfsZeajEOetax17NkFj7bgYlE+Pp0zIeTMYhcGAffWeWin8Yt6pzjftPw5X5GLFBQ/hAh0cJmx7DWMSyW/HuEdY7tnmO5HlGOFHuZ5WtTMRs9h8HP0tMl5Q8Xjr7sBHIL86UnkuV5FFIF3k4u0m/R/wB8G/hd51znRR/sOJfBwFURnAgXh7P6mbzPkw+CwVBRU8LHJwwV7/WzO3yT9dOD2O56yj9Y0Nys+w+945i3jnbuuHm99ELfy4CF1NJ+2GW2OP6kDPwHUNS1/O4ZrJm8zNdIsp2e6nT+e1PRG7WW8Syc58/j87sdvjYvxKc47Tzr3+3TcJ7X90nUppFa2g3DO1NyaBVuwGCAczXNTKK4eaMcPkMuGOHnEXgVhEz0wLMwV1L8YDWnFOMLXhJhty+uiDxZmSxo2O1Zpou+EMc4x52GwVhYKHsRcfB5OFlQdHNLOZJDTdYDNHLgeupZ7zK7u58P5VF6IoFqIigFn+0avj4V8e8tFY8tUPyjux3erUf8bDPrHy4/ebyi9m3gP93J0OLXvnsGPpiMWesYLCDOkSLMF4RKrKlFckhU7RnHVKxYbedUYn3mhTfjeB3y2d82PtvJeNQ2CI7VjqWTW3pG+nVK0M4dj9qG7a7hdxaLr9zBd9a56KfpGrjbNPxqJ0MBj1sGxHGvozDtnLmCd0uutHIaqW+fX65HLFf9CrhGuFKNKMeWuw3DZME7LNfa5tBr2wL7mWWxpA4cqqMi0gKB5+VC/BaJyG/hXZL/s3Pur1719QReb55nqDjupPSDiYhObrlaiU4UJeHsszYGTcCnEe9exybgwVrMOFE4lImcLxc9w/Q8ry83cLeRP5XPNYwSYbrgv+7DqbdTGA8EAiMJmeiBU+NlFC8SWge1WLHTs7QzO+LgrS8EOMitYz01fDwbk2h10IYLMFPQ3M0tiFCLOdRkDU9cT+XIx5UYy1Oi5IBmZrla1YcylY+bpTPnmE0U12pRX+yE1MJOz3J7P+N+I6eZWuLIuyArkXeybXYtE4miHmvmyo7c+E2lRm6Z0br/fTssfoX7lzuG//z9wms32wbOhsEacy12/Jv1HEHQIiSag2zWzAi5c/xgNWW6oJgtR6/UwXfWuejDc3A7t6x1LKstc7DOPpHAzzYz8n42rNbwXhmKyrKaOb5Kc+qJYrqgsA6+MR0z07+O9Y7lt+ZjMgvLfXHxXtPn3s4WNesdQyX2BwUWqMeKb834a36d7z0DF5NXLkz2V7j/T+AL4L9/xZcTeMsZJ2p+tW9eaUnLqxTvzmoVYRwnicJhfeZ8uegFROd5fYn2wf3jRMkBSoT91LLWzvijux0ebGgigd5Memavg0Ag8PpwlpnogbeD9Y7jg8mYv91MaeeGWqyZKijWOoaaAhCcc/QsTCVCN4dWbugax3zRr1w6ONSGe70esd0zNDNLNfYOy0GTNcBUolhtG/b72dxzxWjk553BCzzzJX3q8pDBZ/NyVYNz/PVmylbXkhpLJ/NiYy1RpBZELIgmVkItFnrGUqkoFksx2z3LVjdnveOYTBw4x17mBZDMOi5VVDiYfou538xJjeVhy89r0wko9WTm0oCOwDnY6ln+1WqX379afmUOvrNoDz963/WzzYzrVS8qrnbsUzEMf7mWcr9hWK4pKokic4JYWCrCpWrMatvQzmGqoKhEwnbPu5YH945LFc2frPQwwHItZr6kWesYVluGdi7s9BzTBWGx7F/P00XFRtcE40jgzHnlwiQ+k+f9/v/ujrE0/2MR+cf4AfC/eWlXFgj0Oa65+yjnkbXxKsQ75+DT7fTMVhFOIqzPvBpe9e/2SZzn9aUGCloOMnVG4ZzjUcew0vLD4NenhanIndvrIBAIXGzOMhP9eQub3sSip9eV0/4sHmxoJrVjMRd+vKdoaEgE4hS2ewpwaIGyAhRsdCHrOia1owpsbPhittTCivFZkcaAtBWRgccNwTnY33NE1ScFjVkK1kLDCJcqjo2Nw9flgL0crhQcO8axgy9S/OGqkMyOz1QeLi9c7wh5RygbWGkrYgWdFGqRz3vPLcQmI+51WFJCy8HD7ZSsYKlEwqSBzQzuZw7jhNnEcUU5JnsOUuHLL9fGXsfz/CwC58tZ/hx+uKl53IXH+4oasNUQSgoYMW5FFr5owXfjBmtiOd1vzdkyXKp4EkdLFZ2DL1vC7bag5UlXQrkj/PGq0DHCUtGxUICd/mOk1he4lhWs7MCmciyXHSR+yS9q7TJnYTeHz9eES4llfVP4/XnD5aIj2YL1racLZBPgGnAtgY6GjZ5wZ00xW3A8Th1Xivbg///l1nk9m28Wb/r701nEKV0EYbIH/G9j/uxjfO7kD4BfAWHNO/BKuFaN+Hw391kcJ+Q8nmfWxssU775sCU19dqsIgYvJRfndHsd5Xl+khXdqmntNy2Th6WZRgEcdw1f7hnfrikqsiJUgEl4HgcBbzJlmogfeDiLxzsR3+0WNX7SE3An1BCS3FBU4BAQyB4ly/OaEZSfjyRqn9aWLA0oaLhccK11hueho5LCaCg3jDgoaP6w4breFW22/VWAcaHkiXFq8KHml5A5da3ZCKsqgvLCVw6NUmEtgM/X/vqz6TjYliIMcmIlgKxVqkcOKsKAtMUJuHanzRZS/OemYTexBw/h2BsvF16fQMXD25A7ut4WigooGEcd+5l29kTxZ5x78bk9ox64Z/NuXz8OuoqZPFylU0xwqVfyyJSOLWCciR9cqZmLYzgQljrn+uLmXg8MRKUE72DNCSR3++wsKFgpQjiwLMVRi91RJ5HEFsh0LpdjxB/Wc9yruNKlmgcBz8cqFyf5Q91+M+jMR+R/xw9//4Zz7Jy/zugKBYd70nMejNHO43RG+ufD8qwiB14OL/rt9ntcXi7BUiRAxB5k61Vgd3LRtdQ13GoZ365r5oqY7Ys4Nr4NA4O3hrDPRn9VhEIqeLg7P+rPozaQH7v8rznGtmXOvaciMY6VlqMeCQ+gYSzNzfGM64ncWivzVWkpRgyhBp5ZvziUHxRMAl53jbtNwv5FTdnBZwe/+/+y9aW8kWZam99x7zcx37lvsjMyMXKu6a+mqrhn1TC9T3fNhunsgCJI+qPVH9Gl+igAJAwEjQdBAwEgj9KirVb3WMrVkRmVVLrFkLGQEV9/dzO69+nDdGSTDuUQEnXSS5wESuTFIc9Kcdu57znnfpcIeq5//biri4/WUpvWsdz2585S04k5Zs1gylKK9z63MeWrHCJJLNlL+r6+6zCaO6YLh+UbGYjVMe9meY7Nn8R6uFTWzBUMzC/6SZI6SUVgXrIq2Us/1quF27cWx9FUCHeV9MR6M4ufwadzh7zpNlgqGSCumCV7ijczRSD3Wh8njWhICl3LvyUsRd+5Mndg1vAq/jNrMFfSBGzTBI9Ky0nJkztHOoTdbZrqgaa+m/Na+c1c7d3y5lmIKPZ5aKCXwTCmuTSZMJppnGxlTPicxip71XI00xQkDrS0A5ufndj7XtPO0cs/N2WToe/t1A2SFw5HfT8fnzIVJQTgvXKaQlqfd0DE7bEKN/v8/jheRMN6M+709qusbrInv8dRpO3IXus/FCN6bjJgvGrbSEAwwDHkfCMLFRzzRhTdh//T/7udOKwupwpOJYq6oWSgqvjlXAKVYqhgeNnI8nuWa2SNKQrD6uV2LWCxpPt3KSBSs9dxLVj+eYD/y7uTJ2aJ8OB3zgyc9mhlspZ7UOwporAthP53cc6WsmekLiyWjaOaepZLhacuiVD/oxnsWSy9e10Vq9Atvxu0JQ2+fo0CiFbMFw2xh739v5p7pgobTzWjcw4G+6N5zv5nzoGExCiqxpuA1Wnk+286538iJFCwWk/6Hh4bDg0bOF/Wc6xVDI/es9xyN1PGT5ynvT8f0rCfRUE89V8qGyVix0fMsDLk2o2Arc9yuHfw7QGy1hLNEhElBOCaXKaTlVVYRphLNvYblI3mInVvG/d5+k+s7LLxp90GxHGlu1zS3ay/+7N+t9JhO9gYDHIS8DwThwiOe6MJrM2z6f+e5U42438y518ipp54PpyNKRpG54Du5nTq+NhPtpOYOo2AU1yoRf3LAhOEobFFUXzh9a8LwrOv5YlvRyCAxcK1imC8ZNroOT7AE1Cr4Yi6VDLnzPGpZ7jctH07HO693HJqhwvhwsxoxlWiauWMqObgGGwjcWimuVc6uXj3IF/1+v3bdbRu0lcH1asRc0fDrrYytPIiXy7WY+03bT7tXFLUi1jBb0NRizVbq2Ow6vqznpNZzuxax3vNMFTTKe+wB1rCpD430swoGEoSjGOs703v/b4B/c8aXIQh7uAzdpNwHb5HjEKmwViGcf8b93n6V6/Pec3czOzK86f1Jw90tO3RNPPcelGKr54ZOquxG3geCcOERT3ThQA5rgg2EwsOm/yuxZrkWMRkrtFI7U4/fmI25Mxlxv2EPDGo7zoThqGxRYqVIjOJ2TcG1Ao+bNqxrEwbXEmNZbdsQqKGCd17uPB74cCrmg+loz+sdh2aoMD5MJJo/uFrkf73Xphr7Hb/V3TjvaWSehXIQvL81XxjymU6HYQ2Adu540NwrSg6E1FqsuNfI+HQzJ9ae+w3Lt+cca13HQkmjVbBGcH1v2EQr5ouGchQa9p9vZVRiTSmGlbalZBRmiMWmBZ60LL+3lMgUsjC2jLUwKZwOxymmhMvFoFA+DrkPD0pBGCfubmZDD2D7Q2s+nIr4aDoaelBs5Z7Ued6eOHxSBeR9IAgXHfFEF4Zx3CbYh9Pxa0//e++pRNkb25mMwhZl94TYYsnwsPlCQFXAlZJhOtFspo5HjZzJRNO2nsWS4b95u8zVihxFhcP5V7eK/GIj5UEjp5ZoKpHaCb3p2CDyLZQNsfLMlwwfnOGk7bAGwGrHBnus/sc479noORIDn2xkGAXFKExGqtzzk+c9nFKgIpZKhpmi4nnHUe3XmK4/+WiA6UJ4b70zEd5HX9Zz5gp6J+Qq99DMHLn3XCsb/uBq8Uy+L4JwHORpcIl51WJKuDxcLzrud473Mz+uF5EgnBb11PGrrYOnQuBFaM2n2zl/cr049KD43fmYlvXcqBxd5Mr7QBAE4WQ4Tw3z4zbBgB0P4lfdTjgpu5VR2Lbst0S5VTUvrawWjWKxqCnomG/NxzSzIICKKCkch8mC4S/uVPj3D9o8bVs2U0+sINEwUzDEGoyGamT4/jHCkkbN/gbAo4alEocE+mYehMnEQGphuhjeJ/NFx/OOoxIrVjpwu6ZZaYed7OmCYbXjdlbVO9btWAvNFA2tzLGVemaLGnzEtarh3hPIgZL1YbVdKX5nLmGycLTHrCCcFfJEuMS8TjE1Spo5fLyRnotC9KJzpej5oqNO1ItIEE6Lh80co149vGn/QbGeOv7jo668DwRBEE6BcW6Y7xdL19YMM7Gj7VPmi5qHzZyVVphMipRiqRISr8uRZqGk+dVWzo03rGdPym7lJG1b9k+IDbYLHjQtGqjGGoVnreuYKWraufhHCq/ORzMxSpX5yVrKZs/Ryjzee5RSVGPFdEHzrblkLO6r/Q2Anz5P+7YGiutVw0Ss+Hgz2xEl4YX4iPdkzhOp8N5Z6VimEs1iSbPadpTjMCk61f89YhRMFTXXK5pfbuTcqBruTMZMNF2wiJiMcJ6d35uCMM7IKeqS8ioTRSdRTB2G957Pmoov2orrxXysCtHLSjWCt0vBa+gkvYgE4TS4V3/hcbWbdu5C8vauw+NsSXF30w9tvozKk0sQhIuFeKKfDOPWMIeDxdKW9vx8W7PS6FKONYtlTTU2GKWwHh43LQ+blltVw3I12tMEu2jsnxC7VomYL2oety336mEqc7ka8c+vJNyaiE/cP7KZw9Ou4tP7HRlsuKAcNu17u2bG0pd00AD43YUwMRn3V7HvNbI9q93QnyouaR63HNEuT0lN2MhZKhkcob5dLAULBu89PQedHCqx4b9+K6EcwYOmYzNXxAq+JZ6twjlChMlLyutOFI2Cu5sZn7c1c7Hfk2J2loWoAO9UPNkB3nuSmiiMG7unWX642mUm1lypBs+rslHcb+Y8aFiMCiEDg8Pjasvymyznw+l4aPNjmCeX9+F98Lxr5X0gCIJwAoxTw3w3B4qlGp72FLYU/Ig7Fqb6JWqkgoBpgfuNsI55rRJxr2H5aEzD5d6E4aIRLJYivrdQGJkwMhCNf7ihMQreX1Ay2HDBGeeQxv1T1bmFxHi+2M5Z6zmmE8NSRfOgng9dqV4qGRppCFJcSx1zBU3RKJ51LEWjKEWaP7gaUTSK1Y4jc5527vnOfMwfXS/uvMe+PgufpeH3zh05NwvnCBEmLykHTRQNYyrRIyumBoXoXByS+oZxFoWoAEpx4l5EgnDSDJtmmUk0sVY7EysRntTBdNHs6VAPVmW0Prj5MezAJZ1oQRCEk2WcGuYDDhNLOxbWMsXtSY0CVtuW6SQICTvXCkwVNA+alvmiJt2XlHvROG3RaCAaz8agFTsTaUcNNpwnD1Nh/Nlfh07Eikctx71GTs+GJNFW5lgsah43Lb/Zzlmuea6UgwzTtZ7NnmW966hnnqslw5OupZE5jFL0HNzoN9pLUbg/b0+EjZ21ruMPrxWlDhUuBCJMXlKy/hrjcYhU6N6MgkEhelSY7WkWosJehhWa9dTxoCFFnXD2DJtmuVKJeNQMvjxt6/jp85y3JvaKkgOaOVyvRkc2P3a/D6QTLQiCcLK8SsM80fCDJ12+HHENcpBY2s4ddxua9VRBPSfSCqNhtWO5tc9r2BDWMZ+0LQslOXadlCi4WzReOeZgQy1WY+thKpxf9teh9xphQ2euoNFKYYHPtjK+bFjenYwomHAffrqR0bKe9a4nUh6PZ6oQttNaqWPTwXuThrfLEcu1vVs5YiMkXETkCXlJifsP4vgYz93cQ3KUcviaDArRZ8f42FFObp4XzrrLO87G9MLl46BplsWS5mEjx3nYTj3VWPGs65gp+D3TLM57nPcs9v+8ND8EQRDOhmM1zL3nfjPnfj2nZT3vTycjrUH2i6Xee+43bWjMthWzsQc8Rit6uefjjYxEh5XM3V+/Gmu+rFt+d6Hwxtc0TrxKTXrS9ePrTNi2Msf/t5KSuRBYF0KKDIslLdZRwmuxvw5t546HjZxyFBoVG12P9YDytFLLz3PHatux2bM0UkdiNB5PIwtn7VLk2ew5JhNFJ/f8/bOMr894fmc+IdJK7LSEC40Ik5eU2xOGz7bzPZ6OB7GVOt6bHM2tMi6Tm+POuAiC42hML1xeDjqYlCPNzVrE/XrOWttSiRQd63cMxCGIkhs9z/JERLm/GiPND0EQhLPhOA3z+307jWqiKbrjr+6+Lvtr1PtNy/16zkxBkRioKNhWCg2UI0XbBtEB2FnTBFB4Uue5Ub0Yx67XqUlPun48asI2hN05VlqWTu74Dw875M5zo2qYKxiMAuvhUdPysJFzsxaxXDViHSW8EoM6tGc9q52cnz1L+aKZk1mYKGhmE0UlUjivWMmCN3nBwEbX0XVgckdkYCpRlCNN7j25h3oWpifvxIpW5vn5esqtiVjstIQLzcV4QgqvzM1qxKdbOdb7Q7uN1oeu4qiKqUEhehxGObk57oyDIDiuxvTC5eWwg8lyNQiQv9nO8HgSrVnrhNWaZh6EyeWJaOfj4HI3PwRBEM6Soxrm7dzxoGmZKmgaqed69eWPO+kaZLdYOpiEmikotFIhVVfBdEGz2XUUDERKU41DMMV0f0Lf9X3gli9QTXTcmvRZO2c78/z9aspn9ZyJWHFnKuaDqfiln/Or/uwOGmzYPdVqlKIahc2JJ82cmaJmpe3wKJZKhkiFwCLn4X491NC3axc7QV04Wb6s52z2LJ9sOIyCxx2Lc1CLFal1PO7ATGKoxEEIT63jeReKBhSQeahFiswptlJP0UAjsywUDU9bjm/MhRR7pRTfv1a8ML9DBGEYIkxeUiYSzQdT0dDCYsBp+FcMCtHjMMrJzXFmXATBcTSmFy43h01cK6W4XYt4bzKmkzu2Mk8j8/QcXK+G1a3BpOSAy9z8EARBOEuOapivdiwGULssOIZxkjXIbrF0tePQKoiSAJOxZyNTXOnXW0/bYf3SAxrPWsdSTQzOe2aKmn9+5WLUQ8epSZX3fL6d8m+fZbw9EaYT5xJFwSh+tZnx8XrG12djvjET8bwHKy1L3n+eFyL4dDPlu4vFQ6/joAnbX29l/GIjo5M5Grmn0XNsZ57UOmZLhkSHrwdwpb9BoZVipgAPGzmLJS3bE8Kx+XQz42Ezx3pFaj336pa5AnhvKBqNBzZ6lq0UWrljpeMxeBo5WAfhTvSUjCfR0M41Ck9Bh98bST9M51nXyblKuPBcPpVH2GHgS/GrrRytwhpjpDhV/4pBIer84QE4o57cHGfGRRAclyR3QRhwnNW/WxMhCGepouhaz/cWD/b4uqzND0EQhLPmqIb5SstRitRLFhzDOKkaZLdYutKy7C5BJyNYz8ArxXSigdAgbmUeC6x2He/PJMwXNa3cc7N2MbzgjlOT/u2zlF+s58wVFZVYs95xlOMgUC4ayJ3lh096fLKZ8c5ERGo9W11Hhqdr4ZONDI/iuwvJgfZE+ydsvQ+TnD940sM6R8eGidYMTzN1tB18sp5SiBWLRYN1fk+Kuu7X0Ksdx3LVyPaEcCjee/7xWco/PsuYKoSpx07miJWnlStauaOWKCZiRdEofr2V0bWeTh6mJV2wpyXSYZKyacFYKBhH0WgKBq6WIzZ6nqVSaJrLuUq46MgJ7BKjlOKjmYQb1YiHfd+e1PlT9a8YFKJ/+VQxFw8vAi578ti4CIK7p9N2e/cMutwDA/FypGUlVjgVjuOVOwjCqaeOW7WDH3mXufkhCIIwDhzWMN9MLeVIsTwR77HgGMZJ1SC7xdKe81SiFyJZomE29tTT4Cl5vWp2JvC892xnnptVc+Hq16Nq0rWu5ZfrGUslhVKa9a7D4ncmTQG2szBVer+e4z3UYk0pUpRQVCJY71r+3ZdtVto5f75cHipO7haNAR53Ffd7KdaHzYhypGhmnudthweqBhyAh5WOY73rKESKr80kDD57NYLVtuV6xcj2hHAodzczfrjS42pFkTqF0YpmDpMFTTsP04+N1AHhvdLMPN6Ff4sVxBo6DmpREB2tg9hApBVKQc95tAq1qfVBzNzuWT7eSM8sAFUQRo2cwAQmEs3XZhK+dkZdmA+nYx6UHV90FMWuPZPJzXFmXAKCYqXInOdxe693j1HqJQPxa2UtRZ0wco7jlVuONNerho83Mr5dHF64XfbmhyAIwjhwWMP8RiXiVu14v6NP0pZjUHv+bC1l3XumdgWnFDWYSIEKwkHuw5Rez0E7D96SF61+Paom/dVWBgTxcaOTsZk6MgelWDERKWqJZrPn8ErRyx3tzO0IugDKw0RiuFE1/PXTlCtlM3Ste7do3MrhSU/RjRwd66hEhkbqqPfPELVEoVRIOe7lUI2haR0/ep6y0fPMFTQzJc1UrMicbE8IhzOwM8is53o14vPtsPlnPVQiRasfnlAwiq3UQf9Y1nNB/EYpIuVxDIRIhdGezEGiPalVtLPQLDcqCOwOxyebnnKszywAVRBGjfzWFc4cpRR3qp4rRU88GZ3J5OY4c5x11QGj9Mi7PcSzfA4AACAASURBVGH4T4+7bPX8jvn7gP0G4pu9YNIsCKPkuF65JaP4Z0sJrRw6VpofgiAI48ywhvnHG+mZeJIPxNI/X/b847MeXevJnSd1sFTw/NatEp7ggbnSduTO084935mP+aPrxQtXvx5ak3rPT5+ldHNHz0HHBkVmKtFsZ5aeha+aGR0LDkXZeB41PTcqEUl/pbpjHQslQ6wU0wXN366mvD+dDBWkB8/sf/tA0baeNetop46trmet54gVaA2J6Qs8qaWdw2ban1zTnrVOzmQc87zjeNJyTCYa6yLZnhAOZGBn4IBapFksG1ZaFgVorajFmkbqKBhFZj2e4CepNRRiTdp/XyQavANM+D2D92Re4Qj/sWMdc0XNateCh2/O7w2NOs0AVEE4DeS3rjA2VCO4c4aTm+PKcdZVB4yyyztd0HzVtFyvmj2i5G60UkwWwvTkVOFiFePCeHIcr9yvzcR8OB3TyPyZ2VYIgiAIr89xJuRhdLYcH07HPGpZ5oqhCfbYhhXuUt/r8nZNc7sWvv5a1/GH1y6eKAmH16T3mznrPUfJeNK+x2Mt1pQMrPU81ikaGRjA4rEKeh4eNi3TRcVUonGE5zgcHfoxEI0XEujkiq/qjrBt76lFikqsaOae9Y4jNtDJw1+xhmJ/OrLj4MuG5UY1pHRv9FwIHJHtCeEABnYGUX9jbKk/8buVWhpZWM/2BHGykTmMDqFOmQ1J3LmHJFKUI08zB+N9mJrsb70Nbr3ce3oWnPfMlwxXysPPgacRgCoIp4EIk4Iw5px1MT5gs+e4WTVspZ6pgmLY49EC9dRzo2rY6jmuVUZyKYKww6t45U4k6kxtKwRBEITX47gT8qOy5dj/9YdxGWxBDqpJ27njQdNSMIp6ailFmrTv9djOPYowERZpRTf3lGJFz3mKRlGKYL3raGaOD6aTnUAao44X+rGWhum1tyY0uVNspw6jQrO8FnlamaPVdSgN5Rh6FjIXBMqKUWTO8bjpKUSKP71ZJHVhXfei/gyFNyPb8dbXPG4GkfJKyVA2BX62npFbR2JgpqjJvAcPrRyM8sQaZgvBj3K6oDAGtlNPrIKnZOY8ZROmkiuRZroAG13Fci0+NPBr1AGognAaiDApCGPOWRfjA+7VLR9Nx8FjsmnRQDXWO15LzSwsHyzXDNfKRtLjhFPlrL1yBUEQhNFynAn5Udpy7P76GxnUTAi6uUy2IAfVpKsdiwGmYljvKoyFWqLxQCNzTCWatvW0Og7rwboQ6pEY6DqPUh6tzM60JLAT+nGYd3o9daxlMBvDtDasdhzWeWLzolZWKMCTWygkCoNHaUWkgxCUOc9cSbNQNCxPxLRyLwKPcCADO4PFkuFh02IJU8CTiebdScNqW1GNg+VVuPPCpK5RHqWCCD8RQ+4VVQMmge3U0etPGXvg7QnDd+cTPtnM+XDm6MAvGG0AqiCcBiJMCsI54KyLceh3CLVmuRazUDJ7/JQirbhRNSyWDKVI470nzdzIrkW4PNRTx8NmLimEgiAIl5xXmZAf9df/4bbncVez1nOXzhZkWE36tD8t6ZTCek8l1kwkmu3UoQgBH5VIYQueVed3RBitYDox1GJFz3o2e5Yr5XA8beawVD48IfthM2cuDuLmYs1QzyxrXXYmOnvWU9DQU5ADndxTMlAxYT021mGq7YOpmKJRPOtYrlUiEXiEAxnYGQCst3P+6rElUhBrxbWKohJpmrlH44lUuOduVQ2rHU8397wzEREZxVbP0cpCCM7ViiGzniQKQV/fXSjwjbkElOJGxRwr1GaUAaiCcBqIMCkI54CzLsZhr+F5OdI7fkrDGGUIj3A58N5zdzPj7mZOpJEUQkEQBAE4+wn5iURzp+q5U7XcuV0+m4s4Q4bVpBuZY1ZprpYjahF81XQ45+jkYX11QCXSFI2jncONmmG6oJnpe5JrYKPnuVIOvnrOewpGcbt28LTYvbrlRtHzaUszGYfU74UyrLYcifF0rMcoiAwoC6mHSmSINMRGUzCe92sxV8oRuYenbcetqgg8wsFcL2v+51/3eNC0xAaWyopG6nDec7+p8N5ytWKoRCHMZraouVaJKEYhEGc7dWiluF3TaIINQSv3tDLPP7uSMFs0/MsbJSYSzZd1OxYBqIJwGogwKQjniLMsxsclhEe4HNzdzIbaF7xJCqFMXwqCIAjCybC7JvUeKrHix89Skooi0TlfNiyNzDMRhdVp56FjIdKagnHMFRQhDiSgFdh+2MdGz3OzZigYdah3euY9tQiuFjztPKzXZk6F5GMPW2lYjfUET8larLha1cwUDFMFTTMPKeAQJjhz50XgEQ7lB097rHQc5Sg0zbVSzBQ8jczTSB2Z89yrW96Z0PwP35qgEik+2cxp546HDctiSbOdeTa7jtx7FFA0im/PxUwXIz7cZcslZy/hMiF3ryAIx2JcQniEi089dfxq62BPVXi1FEKZvhQEQRCE0TEQUJYqhkdN+PpsgZs1x9887bKVgrMQacViSfFWTZF7z5O2Z6nksd6jCX6PXQdbaRAlS0bxwdThz/dYKVoerhU92UTEw0bGdKJopYp66pmIg/hplCf3nmLUFyUTRTNzLJXNTtiO9eEaReARDuJxK+eHKynfnItY63lW2xatoGRgJlFMJYaONcyXgs3WRBzu67WO5V4jo556Ig1zRc1bExGd3JF5mCloZoqGD3fZctVTRytz/M3THqlztDKoJYrZguHWRMRiSe8E4sjZS7gIyN0rCEcgU1aBcQnhES4+D5s5RnGoAA7HTyEcxfSlIAiCIIwTZ1mvDprXc0XFw0YQSSYTzTfnE553HNX+PrcDmrnj3QnDVN3igc3UE/cTid+ZjLg9EVHoi5JHeaffnjD89ROYieF2LYg1qx3HTEHzWT3ji+0c52G+pGlmnusVTWKgaT1LZcNS6cUkWjNzXKtoEXiEA/nRs16wAdCaKyWYTjSbqduZfoyUYr6kmUoiPt1K+R8/bfO7SwXen455a8LwpO349WbG46ZlPXLcmYy5WjV8OBXv2HJ57/lkI+WTjYyVjqVrPZs9z3RB0c0d93PHRs8yW9TcrMXcqGied72cvYRzj/zWFYQDkCmrlxmHEB7h4nOvbpk8ZnF1VArhSU9fCoIgCMI4MQ716u7m9fWq4WHDMlOA6UJIynbegwpTigslTccq/ulSYSdM8UnLstFzvDuV8NH08b3Tb1YjLDCwhHzhgR7xB9dKrHUt/++THr08BDaiFHNFzWwhrIkPsEDuPXD0lKZwefnpWs78rrXqolFcKRmulPauWj/tWDILz7p2Zw071oY7k4Y7k/GeQY79DfFBM71tPVs9z3tTEc+6rj+dqakaaGaegnH8Yj1lo2v44+tFOXsJ5x4RJgXhAM7blNVpdMrHIYRHuPhk/a7zcTgqhfCkpy8FQRAEYZwYl3p1IIzc3cyYLCjWe45YKaYTzVetnKJRTCaaolHcqhmWqxEoxc2qomg0fzZEpDmKiUTzdsnzeVtzdYjV0FzR8K25mF+sw395O0Frw8NGTseCUSEYJ/XwpGW5Vjb8znwiAo8ADD9XPW3lTMQGONjzsWvDivd0oljrDa9PD2qID5rp1Rh+s2WZKSi0CuLn7ulMpeBpx/NPFiIqseZGNbo0QzLCxUWESUEYwnmasjqLTvlZJ2IKF5vdCfBHcZRJ/UlOXwqCIAjCODFO9er+5vXdzZyn7ZyeUyxXI1IPN6uGtydCEzvzsNWzb7xt807FA461rhu6zVOJFL9/JSF1YLTiG3Mx613Hk5ZlK3MYpfi9pYQ/vFZkIjk6ZES42Bx2rmpmjk82PdersFQyDHvHbfZTt62Hw26nYQ3xQTN9revRKoiSA/ZPZ26ljkqsqcRamurChUCESUEYwnmashqXTrkgnBQnmUJ4ktOXgiAIgjBOjGO9+qJ5vffrDCbQ7jcsaz13Yts2SsGdqmfxevHQbZ7dX7+WaL5eNNyuGdn2EfZwdzPjx89TPJ5nbb/jHblU0bw3FfFF3bLSsgAvrXADbHQcJQNrXcdHM4dLLfsb4oNm+mdbKfttTrvWs5k6NjqO4M4KG13HH1wrSFNduBCIMCkIQzgvU1bj1CkXhJPiJBPgT3L6UhAEQRDGiXt1S6zhXiNnpWV3iShmT2ovnP1WwP5tm4FQ+FePeydiQXTUNo9s+whHsd2z/D9fdalnjlgrKnE4X1kPj5uWjg0N8ds13V/X1jup7gMsoTa1wHtThzcB9jfEB830fFf964GVju17TCpKBjQKS/Cw/M9rKZOxxvuirHML5xoRJgVhCOdlymocO+XCxeAs0z1PMgH+JKcvBUEQBGFc8N7zZSOjnjqM0lQjdkSUR03Lw0bOzVrEctWglBqbrYBxCOsRhGH81ZMuj9uWm7Voj4tkpMJ9Wk00j1s5X9QdV8rB83H/1KT3npW255vz8ZG15/6G+KCZHvXfx5EKouRKy1KL9652Kw+1WFONNU87jrubmZzxhHONnMAEYQjnZcrqvEx2CueH0zowHCV8nlQC/ElOXwqCIAjCuHB3M+Np07FU0Xvq0EjBVBKSqu/Xg5XP7Vo0NlsBYkEkjCP11PEPzzKuVsyB0TYG+O58wo+ep2ylnkaWM51oEg2pg+ddS+bgncmIf7pQOPJr7m+ID5rpSxXDo6alaEKQzn5REqBjHQslQyeH96Yi2YwTzj1yAhOEIZyXKavzMtkpDOcspxIPYtQHhlcRPk8iAf4kpy8FQRAEYRwYWPm8P2N42nIkycvPNq0UMwV42MhZLGlauT/zrQCxILrYNHP4eCMdq7r2uDxs5jg8Q95KO3StZ7PnMFoxbWA7dXxRz0n6ifPfWwip7j/fyHFKHZLdPbwhPmimzxUVDxue9Z57KQQHwPX/mogVXeu5Uja0ci+bccK5RoRJ4VJylCB0Xqaszstkp7CXcV1jOo0Dw6sKnyfhCXVS05eCIAiCMA4MrHyulCMetVIsDBVBdN/K52nbUo31mW8FiAXRxcR7z2dNxRdtxfViPjZ17atwr26ZiPXOCvVuvPfB57Hj0MBEpOk5xzfmCnwwHWM9e15f6nithvjuZvr1quEvH+XMFIBd+d+OkA6+UNK0c1ieiChHmlh72YwTzjUiTAqXilcRhM7DlNV5mewU9jKua0yjPjCc1aSEUupEpi8FQRAEYRwYWPnEWnGrarjfsEwV9FBxshTBr7dy/uJO+Uzq1d3DAH+/2qMSK65X/U44Tzt3rHbcS+E9MwXFJ5s5Hs7lBN5l4u5mxudtzVzs95xJzrqufRUy77lWMTxuOfZn1oTwGUe1v1Ltga0MblTN0Nf3Jg3xwX+7u5lRiDzNDGIdUux7zpEThNGiUTsesiCbccL5R1QK4VLxKoLQeZiyOi+TncILXkecOy1G7Vl61pMSksgpCIIgXAQGVj7t3NHOHF/WUx42PQrPbFFxqxozV9LkLtSAV0r61OrVgRD55XbOvWbOSttypWxYKhuamWWt6/nVVobyMFvUVCIox9He8J5Gzo+fWVq5I1IlpgrmwEEC4WwZ1LVzseegxazzsJ4fK8VsUfNV0+I8O+vTXetZ7bwQJQFy71EoFvrBN8Ne3+s2xHc30591LM86ju2eo5F7JmLNbNFwsxbtCPsDZDNOOO+ISiFcGl5HEBr3KSvxzzt/vI44d1q95VF7lkpYkyAIgiC8ORHw+XbGzzcyNrqOUqR4b1LRyD3rXc+Pn/eYSDS/Ox/zzbkE0CNfod2/lbTZc2z1HAtFzb16zt+vpnRyx/WKoRopnncsP13LWCgq3p/RTCYGRagvOs7RTB2ZD76F86Vw7cMGCcZz/u7yMKhrj9LETms9/3X92wdbaDdrEffrYYVaK8Vmz6J5IVQ673necfzWTLRHGBz2+t6kIT6RaH7/alE244RLg9y9wqXhdae1xmnKatjDdrlmWK5qHrbc2E52Ci94HXHuvRFf04BRe5ZKWJMgCIIwrgxqrLsbGU/blvVemD68Uor4cCYaq/Vhj+dvVlKU8syXDIOrKkewWAziyXbmedrxVOqWf3Ft9DXg7q2knvV8smGZLWhWu45m5lkoaR63PM+7IU24nnuulBQdC181gsh4pWTChFrbEhnF1ZLeCe/ZLwINBgnezkEWgk6XYev5cUcxlxxet42y6fym/u2DLbQbFQ1EPGyEjbnnHUdRh0GPjg1/ny9pvjH3srh60q9PNuOEy4TcvcJY0MzhaVfx6f3OK3W3XqUrdp6ntQ572H5ez7EeblQM5QgeNN3YTXYKLxhncW7UnqUS1iQIgiCMG4Ma65ONjNWOZb3rSHSoBVup51e9lJVOzpWy4cPp+MwbvfU0eDJ2csdC+YUouRutFJMxbGeOL7Zz/qu3Tq4OHFZ7z5c0n23n3KgajFKsdiy6HwKy2rbU+muwS2XNZ1sWoywK0FpjnAeCGDmdaDZTF76QgpmCoWthteO4Xdv7GgaDBE+7ijtVaWSeBsPOI+UIKpHiUQpPexrTyFmumqHi3yjr2jf1b9+9hXazalgsaVY7js+2MzyemLDqrYF3pyIq8cu18km/PtmMEy4TIkxeMF53fP2sGDzgfrihMQreX1DH6m69TldsnAWhozjOw/ZB0/LRdMSf3iqd4ZUKRzHO4tyoO7MS1iQIgiCMG4Maq2MdW6lntmR2QmSKRuG8Z6PnmUhOd334oJq+mXm61rNYDv9ci1+sme6nm8NCSbHVc1yrvNn1HFZ7/+OzHo9bFk/CctWw0rJUI3jec/1k8HB9Ba2ZKjgetRxLpXAuiQ00M5iLFJupY61jsQ6uVQ1Fo4hUEC1v116uCaYSzRddzZ2qfbMXJxyLYeeRWAebgKpROA/36+E9MuznNaq69qTCFffnC1yvGN6fioi1oms9DrhVNSwfUP+O4vWdh8wDQTgJ5NR3QXjT8fVRcphY+lUz55PNnNk4eJPE+mAPmd3drcOEunKkeNrO+Z9+nXKlqnmrFnN7wpBbP7aC0GGcVZKxMBpeS5xbP4ULY/SdWVlJEQRBEMaJQY1Vi+HjDYv18OlGhsXjHGgNzgHK83k9458uFvjpmudrdnTrw0fV9D96ltLJHLdqhvU0iHZaQcmABhzQsWGd+1bNUI1OZgvosNq7m8OVstkRpfL+c36j4yjtK3eulA2rbUvXebT3JP3Xlmj4qmmxzrNcMyztBItAdsCwQKQgG585ggvNQeeRpYrmcTMIw1rBTEENXb+H0TWdTypccXfwzCBfoBgp1jqOd6ciFkuGUnRw7TuK1zfsmmQzTriIyKnvgjCsWGjnjtWOZaXlSJ3jx6sp/2Qp5g+vlU5FuDqqsPrPaxnrHcs35mJWXiHF7UChznvuN3MeNCxGhQdlPXUo5flsO+dx27LasXxjNoEjHlzjNK111knGwvE47rTy64hzq6ckTMJoO7OykiIIgiAMqKeOu5sZP3ne40nLgYKrZcPvzMd8MJ2cyjPgYTPH4Pn5Wsa9ek4l1hS1p5V6NrqOjCC8zRQ1BQ2fbuYkEbSs5o/m3bFeY/CtzHnayVnvemYLKqyFz8RDN5qO2pIpRYp7dUsl0Vwtm531582uI+9vB82XNNNJuOat1L/xFtBRTfLceypaM1OAh40c78F6sHg0ez9eK0U51lwvG9oWtnuWzEHuPNOJYqZomExeqJnWvxhcePnrHm/gQHhzDjqPLJYMD5sWD2E9v38e2b9+P8qm80nbde3OF6inBf7joy5zxYMHRGD0TfVxyjwQhFEwHsqL8Ea8VCzsE+gqsaaiDNXY87erKfUMvjUXj3x68qjCajvNeNy2zLY0h0kc+wW3gx6M9/tdpKmC3lnBMUqz0fPcrkUUDPzlox4TScZbEwcLd+M2rXWevTEvA686rfw64tzqKb6eUXdmZSVFEAThcuO955ONjP/zQYfPtjMy5ykYjVbQSB2fb2fcqqV8/1qBj2aSkdaq9+qWzdTxyYZlpqSJlWK9nyZdiRVKKbz3bHYdkwVN4j3L5YifPzHcLHvePeQ1DnwrVzqWjZ4jUYqpRNHKHHe3wvDA0i7fykbm+dVmyv9xv0s5gl9vKiLtyR0YHayOlioaPNQSxUrbMlPQFI3iSslwZf9oIkHs0+rNt4COapJHSmF9+LtWoLSnmYNB4YDdV+Z8qJUsitmCoqBhvqSZL0V0rWepHCbwBrVvM4fr1eFbJlup41rxaIFYeMHr2n4ddB4pR5pbVcNP12Ew01GN2LN+P+qm8yjtuqSpLginw3goL8Ibsb9YGCbQQShKJpOjzX9PguOsHz9rO65WDA+almuWl1Y9drNbcBv2YGznjgfNl1/z7gdjLTZ8fTbmlxsZCyVDdYhp8Tg+WM6zN+Zl4HXMts+DODeqzqyspAiCIFwehokg1ln+6knKSscxkSgm4iBKOg8d67He8/l2hnV+55kxuuuzPG5ZSnEQ1VLn2ew5SpHaEUSVUpSjMNkXKUWsFSXj+aKjqKduaL04qA3a1rPV88wV9I7PYtEYLLDVc8Ta8h++svwvn7fo2fD9ig1Yp1jreTLnibXialkzXzQ8blqedy09G8TPzdQNFSQHNHOoxIrbtaPtYw7jqCb5YJ13MtFUI6hnAJ6pomK96/esvXes40bVsNlz5C749k0XDM0s/PeF/gSeBZT3OO9ZLL38tQeDBFeKUvcehze1/TrsPLJcjVgteJ6kiiR1VCJFasP9exp17aj9289D3S4I5x0RJi8Au4uFgwS6AdUInncc31mIRupHeJz149x7KkrRAdZTxfXSwYXFbsFt2INxtWMx8NJr3u9L81YtYjt1/Hoz5+bE+XiwjHNYymXndf0/RZyTlRRBEISLzEEiSD1z/O8PutzfzlmeMEzEu1d2PT3nqfccjczzVSsn9TBV0FyrjObIspU68KHWch4amUPBS8KMUgqUomsd1kOiQs05zD5nUBtUY/jNlmWmoF4KpzFAzzr++qllKoH1Hnx7PqaeOlZajnrmuVIJYqQnrMUqpVgqGSKjWFlNsc6y1lEHCpPOe3LvmCnEb7wFdFSTfHGXmGhU8Bq8Xo34zVZG7izOB2HWETwwF0uGSMMX25a3JwyxUbStZ6FkdibwvhyEqEzEL3kV7h4kSE7R7uY886ap1YeeR1Q4x80mHlM1PGpaOtbTzv2p1LWjDleUul0QRo8IkxeA3cXCQQLdgIFQN2o/wuOsHw/WPqqx5skRwuRuwW3Yg3Gl5agMeSDs96VRSvH1mYS1ruPdyehcPFgkyXh8eVP/TxHnBEEQhIvIQSLI45Zjs+uZKii2U49RjulEsZE6nncsPevJHOBhs+f5B9VFefiz5dKILIjCZORMSbPWsTRST+GABq/ywUOvmTnmEk8M/OBJly/3rcS2ModRsNb1exKpuzZMOG50HOu9sN7tvedhA6qJ5mfPU3oOurljKlFsdh0KxWxBU401Kx3LVKKpGMWdKcPPnlvWOy6Igfuu1XnPes9RizXfmovfeAjhqCb5QEy837BU4zBVutxfv65nntVOEGi71jNfMnRtSDz/7bmY1DoeNnI+mI4oGUXmPJVIMRlrUFCJwtnloEGCz0WY3OGgNe3pgn7jIM3jnEdKBq7VYqqx5r3J6NQ8708rXFHqdkEYHaJgXAB2FwsHCXQDdgt1o/QjPM768VIldNQmE8iP+Hy7BbdhD8b8gAfRMF+aSEGkOTcPFkkyHl/E/1MQBEEQ9nLYNsFvNjO61hGrMCG32skoaU/HgSYIWn09Ctv3dry7lZF8FbwevzZbONFrnSpoNnqWyVix2mEnHXo/3ofmeWIUWz3H07riy1aELrR5eyLi3SnDO5MJn217fvQs5Z3JiOcdSzVSeGClY/vp2QqN31nHbmeernXUEujkms3M0ckcSkX9LaeczGq6Flq5p5k63p6ImEk0b00YnnU8j5p5EPL6F15PPY3ccbVs+P61wolsAR1HlFru158fb2RcrRhyD8tVw3RS4G9Xe3y+lTNV0NQizdWKZq4Y03OeVuaZiENoylrPhWGBqZg/vlHCe2RC7RgcNqH8nx53+XgjxQPv1GKuVKOd1fjVjmOlZXdCk5YqBnPA4Mo4n0fEB1IQzj+iYFwAdhcLBwl0A3YLdaP0IzzO+vFiSfOwkZO5w2/E/Q+4YQ/GF6bbL/6cO8CX5rytO8vDdnwR/09BEARB2MtB2wTee75s5Gz3LKVIE2tFpDxrXYdXilh5XKTpWWhlnp51ZB4go2gUPee4WXvz6b/dTMRhTfxR07JQ1DxqWgpaYXZduvdhJbUWw1cNy4O6pdPTTESeStEwEWs+3bJ8vNnht2YiisbxVTNns+e5M2FY6VhWWpZaHKYnv2zk4fNFml7uKRpNK/XkcZjWdFpR71mamSJ1oXaYLigmYkU39zzvOFY7jqLWfHfB8F9cKfLTfcnm/3K+wAczyYmJd8cSpZTiRjXCA+9NRjzv+h0x8S/uVJguaDZ6bkdkHHzcUSLjeRkkOEtemlDeF4SKB+sV26kjb+T85JnFK8VSUVONFaZ/jnrUtGTOsd1zL00oH+c84jxndh4RH0hBON+IMHkB2F0sDBPoBuwX6kYp0B2ns1qONDdrEb9YT1mIhws2wwS3YQ/G3abbEF7rRs+zPBG95EtzHted5WE7noj/pyAIgiDs5aBtgvtNy2bP9r0cPShPJ3e0M5gvQuZgpWUBKBlFpMADuVc8bOTcr2fcrkb8t+9UTmyl+/aEIXOOaCLiYSNjrqhZ7VhKBhKtyVwQW4pRWEO3PtRgVQ89B5MFRWIUCyYMB/x8PadoPL89G/FFPWWjp1htvxAlU+d51nZUo+A37QCjwyRmO/NM9pPAc+fY7MJcMSRrGxXGSFPvqcaa3DlWu5brVcP3Fgt8b/FkJ0n38ypN8m/PJQeu8F6tICLjCTNsQnl/EKrWikkTJlKtD8I/ODqJYkqH92qkYCoB6zVfNnL+8VlKJVZ71sKXa2Fl/6uWfek8spGBBf7o3+5FPgAAIABJREFUjM4j4gMpCOeb86XOCEPZUyyUFU9b7qWCcJhQN0qB7rjj/jcqmo2uIc88GxksHOIhs5v9Qt1MQfOgkdNznk4eXu/yRLTjbzPgvK47y8N2PBH/T0EQBEHYy7BtglZm+fHzFOshdyEcJVFQz4P4uJl6rAsfqwGtwblgvTOTaKqJZq1r+d++bPP12YOFr1dlUK/erGoWS5qFkuEHT7pkDroWSpFnMjGUDTxphdTojg11qvdQ29X8jpRisaT5op6z2rbMJIbP6jnl6EUidyNzeMXOv1sPpUiRe0U58lgPRQ1P0zBBmvkwVQpBIDUonPe0crhVjdhK/YHJ4CfNaTbJD/JKvDmi0M7zzP4J5WFBqCZEOmGd434j51rFAEE0n040xV0jws6Dc55/90Wbb80nLJXNTnr353WL9XCzoilFmgfNF+eR5ZLnatGfmq/kQYgPpCCcT+SUfEEYFAE/WXNspY5ipEhUKHiaQ4S6UQt0x+2sPu96/vh6kTR2PO0q2rk/luA2TKibjDVPO473piKulM2hCX7ntaiRh+14Mc5+O4IgCIJwFgzbJvjpesZ6x3KzovnceTLr8SgyD9qDdZC6vr+jDmEn3itqiaIUKRQwnSjWu46frKVDwzleh/316gfTCcVIc7+e76RpW+AfVrrMFjWphUR5mg6mIk9i9j77I6WoxppHreDR98lmyofTQRQCaKSeRAXxR+FJNCjv8QomY00j91jvKUWQWUUzhekC4D0d6ykZRTP3LFUMRQO1WI8syHI/p9EkP8grMffw2XbOp1s5H0xFIwpCOp/sn1AeFoQ6CHfKraeV+x1hXCvYTN2eZPd7jRznYaGow/t4J3z0RXr3/abjo2nNn94q7fy5z1KxKxIE4fWRU/IFYXexMBl3+PtnGeVIUTSK61XDYknvCHWnJdC9Smf183W4U/Xc2fWAOw67hTrvi9zdzPjVVk4r98T6eNOXgvC6iP+nIAiCIOxl/zZBO3d8upkxV1B4Ila7jm3nSW3wGdQqrICa/t+1h66DovEsFCOivjCiPCgdwmdOUozbX69eK2u8N9xv5HStp2BC4/xqWXO/4Uh0ECUnDjhFzRc0T9qW1HpKkaKdQS0JYpD1UI41rczhfdj42cocs7EmMYrEwUamqEXgItjqBfGzbcOk6fJUxELJEJvgF/jWRHTqwXqjbJIflOa+WxT7ZDNEZp71ZN64sH9CeVgQ6nQSLArqOXv8U0sGNrsvhMm2dTzvOL41HxOrMFF5u7b3Rj8qvVsQBOF1EGHygjGRaP58ucw7k9lLgmDm/KkKdKe9fizrzsJZIP6fgiAIgvCC/dsEqx2H94pIB//E6xUTfCb7z0jrwzyhUmFy0nkwBq5WDNOFF3Vb13nmCppm5k9UjBtWP9aSMD1Z0J7Uwy83MkAxlShmippu4+DPF+ngSXm9avhkI/xzPfNEyuPweO/p5J5awVA0imuxInce6xUFoyjHil7miA2UYsWdqYjUwlLZsFQyWGCr51iuheCdtZ47mW/EGXNYmvsAEcVeZv+E8rAg1KJRLJUM9+shwX2A7n88hKbAg4ZlsaQpGY33nuyA0EajFPqA9G5BEITXQYTJC8i4CXSnvX4s687CaTJu7zdBEARBOEv2bxOstCyVqC84KpgtGFCKR82cWDsetTyZDZOT2oTDyXxZ71kv9d7Tc4r3qhHeB9ufUVz3QfXjL9dzphLFZhomyg4jd1AwmqmC4V/frrDWtWynnvWOJVIKpeFWLcLjWSobClqx0XM8aVsmY0U1Cg3O1Y5jugCdHK6WNXMFHRqewHLNsFyNyC5QsN5Bae77EVFsL/snlA8KQl0qGSqRJlKeZu6C+EhoCgzuq4IOjQUIDYP4kHtrKtGnPq0rCMLFRYTJC8x5E+iaOXy8kYrR9QgRM/HRcd7eb4IgCIIwKnZvE6ynlumCZrPnKClFx4b15G/PF8B7/u+vutRTT9FAYjQWz2IxiJcQRMl25piMNXMlQ95v/p0m35qL+IdnKfNFw2rb7gg6w9hMHR9Mh6nQ379a4O9WU35rNkwBtnPHj56lTCWKZ13HSseSOU8tUVzxmpmi5otGTjf3XC0bvjOfYAxoFF0HN6qGxZKhNAiy7NkLE6y33yuxnTtWO5aVliPvrysvVTSLJSOi2C72TygvVTSPm3ZoEOqNqqESh+nlja6jkTkWimbnvvrx8xTTf2818zD1exCRYiQNAkEQLicX40kmnGu893zWVHzRVlwv5mJ0PQLETFwQBEEQhNNi9zbBajvnWcfRzD1KORZKhulEU+ib3X1v0fLj5xmpDWnc3kHRhGTgnvM470kixZ3JiNx5qrHidu1gwWQUfGehwN+spBgNi2XDZ3WoDLmE3Idk7dlCxAdTEdcqER9MuZ3p0XKkuVmLuF/PWShqphLNes/ysOGYLWoWyxHvTkZ8spXz7bmYtyYOngi8aMF6O16J3nO/mfOgYTEKKnEQda2Hx03Lw2YIUdrvo3hZ2T+hvFgyPGza4Nva/xjnPRu9kJj9vGOZShQLJcN26vjOfLKTQzCYttSE991i6eDvcX6BpnUFQTh7LsaTTDjX3N3M+LytmYv9zhoCiNH1SSJm4oIgCIIgnDYTieb3rxb5bDvn7cl4T9r1gDuTCc+6nq8aOR3rmEg0mQOrQvBMOdJcqxjmS4at1DFVMKcuxl2rRPzeUsIPnqbcqmo2E896qohzT8kEr77Ue75qWt6fjPm9K4WdqdHjhOv88fWE65WIrSyIjf+ibOhadqbg9nMRgvX2b/H8bC3jVk3jHKx0HFMFvSdZOlKhsW6BL+qWpZJM6w3Yf49dLWseNYNXaicPwuTyRMRy1VCKFPfqGQBvTUQ7oiTAUkXzVSPHesXyvv+3n63UXZhpXUEQzh75bSKcKQOj67nYc1DTTYyu34zXMRMXBEEQBEE4CQarpjcqGoh42AjiSTUKnpOxVtysxLQyR8963p6MiJXBaJgpKGYKhsgoNrqWWqz59lwyklrwKLubP7tVAuCHKym591wrQqGgeN61rPc8CsX3rxX479+toJTmk81sz+e6UdF4FGtd91K4jlEheXvgTV2NFHc3Xw6yvAjBegdt8SzXDJ9spKy0HcsTEQf9hA3hnum58DMTXvY7v1eHZupZ6ToWS5p3JhJqcdiUqkThe46HSqTInN+5tyIFW6nno5kgYh7ERZvWFQTh7JHfJsLIOazQGxhdH7UJIEbXr8/rmInLd1gQBEEQhJNg96rpzaphsaRZ7ThW28FfMdaK356LWCgp6qnHKahFmokk1C3bqaPV8VwpGb5/vXjiYtyr2N3869sVfmehwL//2QafNhUGuFqJ+Vc3I767WGCpZPqfK33pcz1pO6zn2NY5FzVY76AtnmsVw8/WoRzBs7ZFK/YEIA1w/RTp+ZKRmnUfL/zOw3dlcAa737Cs9RyJVrw/FfMnN0p4z0v31m/PJrwzEXG/GcJwhkmTF2FaVxCE8UOESWFkHKfQe9bOeX8q5tkxPp8YXb8e+83ED2PwPX5vxNckCIIgCMLpc1YhePtXTa9XDMtVs2cC8LsLBa5XDJ9uZfzkefb/s/dmMZJl6X3f75xzl1hz36qzlqzu6p6e7mnOcEjOaECKFjVcJFsWINp6MmQDth8NQYAfDBswIBgw4DfDT/aDAAoiDBgUbT0QFsQROZTIoUacheb09DLd1d2VlbVkRu4Ze9x7zzl+OBGZkZmRa+USWXV+QKNryYi8956bFd/9n+///3je1GBhvij5WzMxXx4PL0WMO2vczXwx4NdnDL8+Y3jzzfF97/XhZnKh0TkXOVhvGAYgHufiKQSSCEHdCkZCqDQ145EkpwRtbdlKDOtNTTV1InW7aPhoK+VrV3LkN5OT7p9Bf2etpRi+nN26Ho9nePHCpOfSOE2h9xcVTSkUp9rt9NPfzsdumPgp8NfY4/F4PJ6Xj+segnfQanpcB+A3ZxXfnM1d+DEMYpBQNmga9ExB8ON1c2ykUDUx/OV6iraWH1SyvknSrku0EMhLiSc6SXC87rXv5yQXz3hOkAslqy1DK7OstzRKwvOmJtUQKXdu0zlFpaH5NM0oxoIHRV+7XhRn+Vn1eDyei8ILk55L4bS5hpM5yRc1zT0NA9wa+7iI6W/DsFt81YTd4jM8xaXzE/Y8Ho/H43n5GJYheBfZAXgR7BPKjpkGvdwwbCeG0bDF310oHHofay1/8qzFB5sJo5Hq5me61z6ta5ZqGXfLLrfvouKJdjqaf/O8zb9fTQBnf58vSSZzap/gaK3lo2197WsPJ7t4QikpR4KJ2ImSn+5k5AJBOZK8VnB5o71p7qVQIqXls6YEDG9d6pG/egzbz6rH43m58cKk51I4ba7ha8WAj7cSNhLB7ROm673I9Ldh2i2+au6PuAK1f+L5Uexe440rODCPx+PxeDyXznmG4L2sm7UH6RfKFrvdYWOxJNWWtVbGZtuirRvSU4oEf7qc8GA0POT0+Wgr5fsrKbeKat8GbyBgLAJjYbHqxL/75eDc8UTVxPC4lvJnywk/Xu+w07G8MaqYyStCKXneMDxpGO6VFHeKih+tJWx1DF+bioZi7U9y8cwVJc/qbk0mc5JcQ/DN2Xhg1mE9g9ulgCC1fN4SVBPzyty3Ho/H87LhhUnPpXDaXMPZvORRVbDaOV6YfNHpb+fpFHhZuit70zC1tccKxf3XuOKFSY/H4/F4XgrOMwTvVRk02BPKmpnhcV0zGglWmxmVlkECeeWuibGuQ7Gawr9+2uZXAyh3I/Z6wm8pctOiB5EY6BjDHz1tcb8cUAgEuUBQTeJT1ZT9G+zLzYznDY3EDYypJpatJGMur5jLKzSwWNPudViWm5ova0shOHr9r2rtT3LxzOYVS3WNBjY6hlAOHsBirMVYy2xesrXjvuZVum89Ho/nZcMLkxfMyyJmvSinzTUsBJKFcsCfrwmOijZ80elvZ+0UuF1UPG3ol6a7sn8a5lHX4OA1rlzDcXo8Ho/H47l4zjoE78OtDNt93ctey/aEskpLo4C1lqbSNJRCgeyrl5SAvJBIYXna0PzASL49Y4A94TeSEm1dl2QPC6y0NJWmRgpBLEEbSygl6y3Dd562j6wp+58pHlVTnrcMCyXFesvsCs2hFFiglRp+WEkYiQVTsWIsJ/h0xxIJQSlwU9Dvl49fu6sYMnmSi6cQSO6VFIs1zbO6Zr40eCr3ZseyMBJQCCRbQFnhB2R6PB7PDcYLkxfEq2wVHsRZcg1vFxXzOctGBrm2vvDpb2fpFOhoy+9+Wudp3VKKXJE5V5TM5hWFQF55Fs9FcXAapp+w5/F4PB7Pq8FpN4uttTypZ3y4lRK+IrVsTyhbaRiUFFRah0XJHi0N03nFZCx5/7nimxNOmOwJv/025B4rLc1KQ1Puvqc2kq3EUggtb40FTOXkoZry4DNFKGEnNczmJT/bylhpZdRTSygtn1Zhp+OOIyehmgmUELS1IDEWCXx9KqTS1MzmnUC50tADB/NcxADEkxo0TuPiWSgFGGv5/9bd6zNjUQK0dfZtY50oudAnWl7F8EbffOLxeDyXhxcmL4iLCBV/mT7wzpJruJNafmlMcytnCUeDC5/+dppOAWsti3XNx1sJX+xovjUXEUoXWv6srlmqa+6VFAulYChzmE66d/yEPY/H4/F4Xk1Ou1m8WNd8Uc2YiOW++u06hqRcFT2hLDGGtnZC3iBRsmcdHo8koRQYLMttwc+zJ/z225AV0NaWSnNPlASQAlINBpjJq4E15cFnio+2EjZahuW65qOtlI6GeqYJBaRWEEh3zG0NylpWm5pSJCiHkmdNza2mEyrb2omBRw3mmS/Icw9APEuDxkEXz8Ep6BIIleAXp0LmigEbbUNqLKEU3C7tCan9ZBbKlzS88SKaT16mZzyPx+O5DIZCmBRCTAJ/D/iPgPeAeSABfgr8DvA71lpzfUd4PC8aKv4ydlueNdfwVs5SCuDNS5j+dppOgcW6ZrGaIYEo2JtMHQi3Hv15PQvlcGhymM567/gJex6Px+PxvFqcZrO4mRmWahmhdLmFg+hoSzPT/J8PE96dSBkJJfdHFOOxZKtjbqTo0ou7+VElYSsxFNRgUbKWWuaKipxyNVZZwbO2O7ee8NtvQx6LJVuJQYr93ZeZhbY23CtFu+Jaf015pxTsPlNI4FEt48+XO8SBIMmceFoKYSuBjQTKkUVbATjhVBuopYZZq1htGgJp+auNlIlcwIPRYN+xHBzMs9UR/Pp87lzX8SwNGu+Mh9RTyx8/bfH+Zkql5fIyJ2LJdF4xFkvmQoUIBI3U8NdmIjihjq9p+Hr55GaIyz63g88EL+Mznsfj8VwGQyFMAn8f+N+BZeBPgCVgFvht4J8Af1sI8fettZfbo39OXjRU/CK6LYeNs+YaRpc4bOWkToFeMT4RCz7YshQHhIMrYCyWPK5rZrq27qvI4jmJl/He8Xg8Ho/Hc3GcZrO40uru/wvBTP6AwGMti/WMxzXtshaVs9cWAvjus/auq+Td8ZBAyhsnurwzHvKtuZB/9jBlKpYUBEhcV2NLO2FyrqgYiyTLzYwnDY3oQNMIPthMmM5LlpuaqZxz1gA8rmue1DUjocuANBZa2lBPLV+ZCHa/rkevprSw+0zxqJaxWM3IBRBLwVoCkYR6CtUUUgM7CeSlJVRO9NQW2gmMRk5k3Uosa21LOdIctQJSCEZj1z05Fl9ulvtHWym1xPD9SsIn2+7Xo5HEGmhklk7DNQF8aSxkKif47rOEkSjl9ZGja1hjQXP+AZkXdW6Dmk98ne7xeDynY1i2MT8F/i5w21r7n1lr/3tr7X8JvA08Af4TnEg5lJw1VPxRt/MOzv6BV02GtnH0EO+Mh7w7HrDeNqy1NamxWGtJjWWtrVlvmyvJNbw/otg55rpVWns72o3UMJ0bvJYK9wOz2nLrdxV5NsfxMt87Ho/H4/EME0KISSHEfy2E+BdCiM+EEC0hxI4Q4ntCiP9KCDEsNfUhepvFqy2DPmKP/3kjIzWWeyV1yCa72I2AGY0lo5F0k6tbhmdNw3bHcqek2E4sz5oa0R3IMpVTu/mJH22lV3Ga50YIwa/N57lfChiPJamBhrakBqbzki+NBmAtn2ynVFoGJWEmhoJ0AuzDnYzH1QxtDAjBQjnkl6YjxiIn4DYyQ2IsUznJ6+WAn5+KD3UA9mrK3jNF/6Z5KCTVRNPUlraB9Y7BGlASsE48radgjBMuAwnVjhsQk2iLNpZPtzXvb6a09eH110A16a5j5+y14lkaNJ43Nf/iUZO1tiYKJF8aj3gwEvLmWMg74xEPRgISDT9aTdjowHuTIT/dzKineuB7amtZTwVv5O2ldOeep/mkh6/TPR6P5/QMRcektfa7R/z5ihDi/wD+Z+BvAP/3VR7XaTltqDgcFrNetNtymBmWXMPjOgWameEnawmNzPCZsXxRzWhmhudNTU5KJvKS8UiS61p7SqFkuWlYKLud6fNm8VwEJ907LrPHhZxvJJrVZsavvpa7Edaq0+Dzejwej8dzhdxod89JQ/C2Om6z+GAnXzMzPO520vX6KJWAemro1CwTsdvYHYvFPleJ+7rhy+Q+ipFI8tdvRXxvJeFL4yH9PaPLzYxK01AIBc3MMl8IaKYwF1mmcorx2LLW0vzlesrXpyOUEBQCyWuFgFwgCMThSdIH6dWUiXHPFE/7Ns0n8pKPthMyY8kHgqTlREmL65oE9+uWgaZ2OZZtDRLX1ToawUgk+HQnZTsxvDES8lpBYhDUU4MBFsqK+YI6lxPotA0azcxQaWqWm4Y7ZUUgDnfISCEYiZwd/eF2yi/PReyUFJ9sZdwdGTy88UHB8KB4OT92R51bf43dGyQ0lXdCfO857WV+xvN4PJ6LZiiEyRPobbNmx37VNXKWCdQHxazzdFtep3X4PFx3ruEgW3lv2M3jWsZqWwOGStMyEkIjA20so7FBNw2VlmAur5jLK5SArCssbyfG7aJfE0fdO/3n1gs5fy3vuhmG0Vp1VoHR5/V4PB6P5xrouXv+3/7ccyHE/wD8gD13z1Buop+0WZwZJ7Id7OSrtDQK9gl12kI9tUzm5G5mYb+rZKG899l9k0SXv/FajkdVzVZHEwhBKZSkxrLcNEhhaWqYKyimc5JHOzAZuXpQCcHPT4X8ZCNlqZ5RCl3cz2xBsFTTKCkHTpLup1dTflHVZBZWGpqeRlxQgloCY5GgoS1YJ0ha6x6SBCAtiK6lWXU1unzoBMuOhlAp5ouSUMKTuqaZGV4rBtwpKWbzinwgsdaSpGfv2jtNg0YzM/x4PeGnGykbbcNnOxmRAqwls2AQSKAYSqZzglgJaolltW15byJivW1464gBmSsDukAvioPnNqjG7g0SWmlottN01w32KjzjeTwez0Ux1MKkECIA/vPub//VWV778OHDC/ma06Dqgp+1BBOncCRvprCQtzxM3IfokzXFeGBPynQGXAGylQkeJoPtDC8DF7UmBwktlBqCn1YECqimgpWOoKRgdVvQ0JK52FAMYLkt0AKeN2EscGLlpzuwGVkmQkgMPMkMGxncbxseXmI+5nEcde88bQmetQUjARgBW90/r2noaLe7/MfLgscFw5ul44u5y1oPcPfzZw3B502BEi5IPhDQsPCnz11x/Ube8qC4/xwf1gWfNSVToUULWD3wvmc5v5vGZa6H5+z49RguXsb1ePPNN6/7EDxdbrq7p8dRm8UWBg7IWWkYigfcLfXMiWAHI/36XSX93BTRZTRW/MadHD9aS7BYVluW5/WMzFjulgPGI0mgBNsdw2uRpT+KM5CSu+WA2wVJIZQs1py42TLwVllyq3DYIt+jNwjyTinYXYesz+XT1JZiaNnuGKqp64iUAjp2r+NQ4wTKXtUTKchL1xAhpUBbi7aQl5JvzIbsJIavTob7jum8TqDjGjT2hLyUv1xLqbScoJcYw0a7+z0FhAoCIaglmicNQU4K5vKayZxgoaQIJEc2Oayc+YjPf269YZm9TuEegYBSJJCS3czIF3HUeTwez6vGUAuTwP8CfAX4l9baP7zugzmKWznL5y2Bsa5QOIpeOPOt3N4HT8+OcNpuy9N8necwQsCbJevWqiH4oKrIKUvDQCGEkVAzGghSC1JYnieSANhK4ba1jASwkQqksNyOXZ7Ng4I5VJRfJYPunZaG5x0nSvbfi9ru/bBLAVOhu2d709Cvg88aewJj/7GGAiak+3n5rOni53sCYz2Dz1vi0Gv6GZbz83g8Hs8rw9C7e07iqNib7MDvjXXTn4uR21Tsp99V0s9NEl36Le8jkTuf+yMBQnRtz9qyUFYEA85nLJKsti1/Z3ZPQPtwM+HDrYx4wLRv2D8IciSSu+sgRbd2E7DZMoxHkloKFoMSToQMhRMis+6hSNzXKwmlUBBJaCcWAYzHgu1Eo4Q4srv1vE6g46a+94S8jrG0MncvhVKw1nLHLSzUAaUhVG4AZVkJ2plhqWEJ1hLmS8GR+e+XTf+59ed+ygGCYz013Cmp3fgCY+y5HXUej8fzqjG0j+xCiH8I/LfAz4B/cNbXH9dl0OuquMhOhKhbeJw0gfpvjgf7rCydyeTID/ODrLU1Xx8NeHPIrTCn4aB9d31lhds5w6+8+/qlZxCFmwlq0l3zR7WU0Z2M5w1nDdlJDPkCzOYsjcSQGKgLV+UFEhqBYO5Wnl+Yiq7dKjzo3nlUy5iKNGPR/uPaTgxvlhTz5b223lxbEx1xP13Gz0g/1cTwk6dtfm726EBwgNesZb1tmL2dYySSfLCZcDt3up+X487vpnHZ6+E5G349hgu/Hp7r5LLdPRf5upMo1AXvL+/fMNzZkbSlEx2NhWoG8zlLLYGVmstP7KGtc5U80/vtwKmBthE8zG6G4yfJgIbg/Zrih9uCnITx0LJQsMznLOHO3tc+e/p099eDnE0HHTs9d0hmnZOl5w4Jtd114BTqguqmYs1YRgLBak2w1RZ0EkEzc52SGXvdkhLXdaitOwaj3R8m2g3EkRo6jZSWAdqWNVz35IebEI66tTKWczuB0gyebklaAXQMbCSCtcR1iz5rCSZCy1YmsKlgp+2aAPrNX5kBLUBryDLXiau7eZmPdMr/1WryrVHD7ZY+drP5Mn4u+s/tWVuwk4AeIDJboKrhVmJY2XEOOWFhXXAuR91N5mV0L9xU/FoMDy/7WlxEDT6UwqQQ4r8B/jfgI+Db1trNaz6kEzkpVNxYBk6gPm4wSz/9No+bzFH5gA1pWWwJmk/bl54P2J/5stIwTOQUlZbmWc0wEYOSkjxQCiT11FBP3TTx9bZlOhfw9+4XrmRoz0kMunf6M4l6uARNmMnvF/Ou01p13kBwn9fj8Xg8niHjRrh7ToMbIGL4vLUnok2FlueJQAmLsYL5nBPnLILVxBIJwU4GOynUNUyGLlJmss/qXNOwkB/+icMHI2beKBhaWjjrsYXNTJBLYD7vuhBbGtYTwXriREGAciCoZ3s2937HznJb8KwtSbtddAt5w2s5S/FA3fagaGlqzR+uKayF5RY8a0PT7NV0vaeJtPt74aInMbi8z7p2gl8xgMTCs44TKWMl+KxhGe1z1hjLCzmBSoETV7+3KWlqQSDdxPK6hlDCciKoZYJW5r6XtRArJ2Jq2x3k071+iXH3UtgVcCOc8PqkA3+8JnmnfDji5zLpndtnTclaArkBXY0W2MlgPnYn8bTl4qKqmatj7+cN0/F+638/gxx1Ho/H86oxdCqXEOIfAf8r8AFOlDwYITeUnHcC9aDBLAc5aPO4yXy0lQ4811A6++5UTu5ms1xWSHp/5ktmLalxO8fzJcl2xyCsJZauICqHAotgtqh4NyfJzF7xdN0MuncOWq40sN0xLJQPZxtdp7XqvAKjz+vxeDwez7Bwme6eQVxFd/Bb7LlaFmsa2dFsbWe8NRrsy0kcTzX/8kmHrVQThJKJEuRlIxS8AAAgAElEQVQzy4PRgNTAM+BeSXGnqAg6ll/pOh+GmQ83E+oq470+N4etZTytOydKr6ZKS5LVyhrPO4KpyUnmA9dRutExjMeSz+Ng4Cb7z5/hWN4Cbq+0+Scf13madOhYFz0ELtam18HaC5XsZQkInDgJkA8gDiC1EEloAYVIMD4a09KWlobVXMStguLb4+ELNQV0NjpMyQ71zBAISSmA9e2UmQLUappCaEk6hpx0g3Ai6YRSnTlhEtu1duPEyryCfCRQCiZHQh5MREwXJfVAkR5wn132z8WDblPFP/u0QS4UlCM3DNMNgXJTzX++qADLUt2gIrgzJqinlltFxcdbKe1QcL/spt43taXS0qw0DIkx1BP41q2QN+bzQ/8zchzevTA8+LUYHvxanJ6hEiaFEP8dbuf5r4DfsNauX/MhnZnzTKA+b7flTaOaGD7ePlqABbez2MtmuXPEVOYXpT/IOhCCjbZBCsFULBkJJbXUUksMGouwLpfn7bGQQApWW3qoJksevHdgr7DrFUsLZcXCgC3w68yzOa/AeFzA+kF8Xo/H4/F4Loub6O45LQdr2UE5iattizUWrCCnoJlZ5gqKUle41MAX1Yy1luG37gy/KDmoRm1mhnZm+Nl2Qk66bMSxnOD7lQzZEkyFblJ2W1sqbc3Tuhv800hTHtcy6qnlm7PxCx1XLTOE0ol3+UB0hTvrbNpH7L1GEpSCQO51KAZKcrcg6GgnoEohmM27Dfd7JfVCdW01MfxsR/P16YiOtlRahkpTU0stI6Gbbh4KS04JFmsaIQSZcTV2JN29orvdk5F0ImtmIIoEI6GgHCpKoaTSsnxj5nKfEQbRaz75hamUWmbYaFsyYwmk2J1qXmlpFmuGsViicNmkkRI8GAkIpGCxlvL+esrjaorrtwVwYaFvjQdoC9+5AteYx+PxDCtDI0wKIf5H4H8Cfgz85stU4J3Eebstbxrnte9eNP1B1nNFyUfbKePdTMZICiZjwWTsrnc9NUznJTkl2E4Mr4+oobIHH7x3VhqaJ42M8VjtFkv5I6ZAnjfk/CI4r8B4XMD6Qa7z/Dwej8fz8nJT3T3n5eAmaCThcS3l9RHF45pmtW2YzUmmYontTn+uZ87GLAXcLp78mX3d9Neoe5Ok3QTp20XFalMTCBcB9EUt4zUE05FlpaVZbmiameVeOWAmr9AWaonm979oIrD80kx8ZqGpmhi+X0kIhZsWbjA0UmfT7unDAvd72/217v7adiddpxq0dHZuayGWgteKAaGEuYLiV+ZiYiVYahjeTsy5hb7+a1cIBPfLkvvlAGshp4DtjOfNjFhJCoHGdrNIk9RtPofCdXmabtekBMoh3C0pTNfq3RusdNnPCMfxzkTIw52Mt0b338/NzPC4rndFSXD3/+2SQgjXKTmbl/x4rcNfrqV8eTxgJFLMFhSzebnbhaytvXTXmMfj8QwrQ/HULoT4L3CipAb+DPiHAz7AF621//SKD+1KOU+35U2gZwn6vc9bBMKSU5K5omQ2f9he3OMy8wH7sxln8wpteiXdfoy1GGA8VruZPq8VFE19xBb1NdK7d+6WAr7ztM1U7vihMtedWXpegfFVy2T1eDwez3DxMrh7zsrBTdA/fd6hmVliJfmFmYhyKKmmlkpTkxpLKAW3S4rZfEgjszxtaEbj4RYn+yNmepOke9OXR6MAJQWVpqaeWUqB5FlDYARInVEIBa+PBszlFQInto3HCovheysJxVCeWWhaqmdstA1bCUznoKUVhcCy3TFI48Q6ad1goYxdRzcKV9Fm1gnDWJiIJQJBU1vuBbDZsRQVuzX4iwp9R8XzzBUVT+uaibzki7qzlo/FirbWTEUSKQydzE2u1jirejGE0VASBc46HweSiVi4CeXdTerryhA/qgattLQTjLu/702un83vvybGCr42FXKvHLBQPuyCuwrXmMfj8Qwrw/LUfr/7fwX8oyO+5t8C//RKjsZzIRwcdBMIVxwZBM/qmqW65l5psM34MvMBD2YzzuYlWx3LaCx2Jxwaa6mnltmCJFRiN6cxUpJsWEImB3BTMkvPKzDelPPzeDwez8vHq+zugb1N0EdVzdvjIWFfXMpkDu6XD9dzobRD5TQ5il7ETDMzLNX2RElwQt+tvGI8kvxorUMonZj2uCX45SnFrYIiN2BS80joxMDzCE2PqppIuRzGYuDeJxZOnIulpa3d8BiJq5lNN8ZHCicAdozLacwFAm2deVgYSWJgoRzsnhu8uNB3VDzPbF6yVMsYDbsWdGMpKNf9KBCMRYKWEoQCNjuGkcjluucC4Qb5WDcwZjxW1FPDnZKT/q4rQ/yoGnSlYSh2nW3GWjY7loWRYF/zRaXl7POlULLcdJb/QVxnR6jH4/FcJ0MhTFpr/zHwj6/5MDwXzMFBNzmVYSy707g1sFjTwN50wR6XnQ/Yb0u6XQpIdUot1d2/dQXUVNfCvZOY3ZzGtc7w24NvQmbpiwiMN+H8PB6Px/Ny4d09ewwSopqZodIyrDQ0Wffv54qKmZwgGf6B3LsRMz0BSQ6oS3JKMBIqZnKKrN1GCUMuEANFSdgbUHMeoSm1llgKpAQpBeXQ5ZwrLClOnOzZtgE6PWESiLoTr6Vwx7CdwHxBMh5L3h4Libu1bY8XFfqOiucpBJK75YDFasadouRxzTAawXjsNvm1FhijSYQkVqCtoBh2uyMFxFJyu6gIlRNmZ7pjra8zQ3xQDZoaQ2wl26kTJhdGAhZK+zuEVxqaUrBnST+O6+oI9Xg8nutkuBUWz41lUIh4z9Ix1q3LFDAWSx7XNfPa7ez2uOx8wH5b0kdbKattwwiWZmYRuMKoGEpuFeRuTuNNsQfflMzS8wqMN+X8PB6Px/NS8Uq6e3pxPI+qmtRaQiFYbmgiCaOROpTH6MQXJy49rWseVQ3TOfd1wzzQoxcx0xOQjkIJaGgDWEYCwVbbcCs/2KauLW5gzjmEplAIpgqSyViw3rGMhoL1NiQWOtoS0bUOd6dD9/ImCwoiJSlYV0fdKjhh78GIm5aeU05E7Nmim5nhaSNjqWaAJqEQ3B9R3D1Dh+dx8Tw9gS7VhuWGYbNjGY8EoRIs1TWpFVhriCUoYRHW0swEd8sBXxoLmM6rXddSrwPxIp4RBt3XpznvQTVoMwMpLLdLwb7MyH6yrkOo35J+FNfVEerxeDzXyXArLK8g5/2gHDYGDbrpWTrc7rH781Rb1luaxR3JWARLQYeZgtupvgoBcCSS/LXZmHIoXjp78LBnlr6owDjs5+fxeDyel4dXzd1zMI5nNJIE3c44bS1/ttzh3YkIay2Pa3qf9RmcuDIWwWYH2tq91zBbU3sRMx1jKQZHC0djOcFSHeJuRNFx8T69ASjnEZrujyhqqeZWMaDSSrqDZCQCTZCAFSClm2Yddo8lCOBe0cUONVLYSixSuKE3LQ3T+b3BjreLksVayuOappEZ3hwNmYolmYWHOxk/285OPSH6uHie/uEv+RD+opIxkZekBn5uQqGtpdI2rLcMtdSQQ/DVqYAvjcWkxlJN7a5rCV48Q/y4+/os591fgy6UT85ND7qiZD3bs6QfxXV2hHo8Hs914YXJIeGiPiiHhUFB2P2WjvEYVtuGStPZp1tacEdZIgUfbmbMFxVP6tmVna+3B18fXmD0eDwej2e4OBjH08wMT1ualYahkRmWG5qtThsFvDsRDrQ+awAh+PJ4MPQDPXoRMz9aSyiFglg4QXUrMWy2DBqX02gslAKB7daI+SNq1P4BKOcRmnpi3zvjAc8aGZWmAWtJjGAkclOt8wKaqSW1kAugqCBU7vpG0uWmV1qGidhSzyzGdKdcC2hrN7RlJHIG8PmimyAdCpjKqTNNiD5NPE+sBG+MRLw7HpFacajWXm5qfrqRsNk23ClLLHCnpHZdS3AxTQIH7+se5znvHqfJTZ8rKpZqGQh2LelHcdmuMY/H4xlG/L96Q8JlfFBeJ0cFYfcsHT9aS9hoaaZigZKCHaCmLSq1vDcZcacor/R8vT3Y4/F4PB6P50AcD+x21ikBxVBSDBWpsfx0PWEntaTWEgk3pdp0J0anxg1omctL1toB6gYM9HhnPORbMyF/vpK4br3EEkqIlEBrSC2UQ+EGJGogs9zNHa4NDw5AWWvrMwtNPbHvg03Lt1+L+O5ywqfbmnpiKIXuOmvcMSkB80VFMRDUM0MsBQ0NYKglMB0r5vISJeH99QQL/NUa3CpKIiX5uYnwkP34rBOiT7PB/5WJkHfGQ2qpPVRrf20y5D++l+NJXR96j9TYC2kSGBQzdZDzTMY+jTA7lRP8ZN3wc5PBQKt3j5sSG+XxeDwXjf9Xbwi4rA/K6+SoIGwhBLN5yWgoKAeK7cTSTF1491wE781Eux/YM/nzTTJ8Ec7bvfeyWPBP4lU5T4/H4/F4XlX643gWaymLNc1Y7ETKtrasdTTbHcNqx7LV1lQTzVtjTnBZb1ta2qKA10cUd0ouXzw1hp2OGWrnjxCCX5vP8/FWypOGIVJ0p0PDdMFN5XYZjZbKluVpSyKwZMaiulmPm4nLUYyAJ7WU542MWAm+OXN2QXZP7BP87TuKd8Yyfu+zJi3tpoJb4EFZMFcIaBmXM1kSgrVWRrVjKUbCdVJGis22oWUsE5FACXjeNEQdwe2CYKWpiYOMhZLatzZnmRB9lg3+kUgcWWu/O6EupUmgmhi++6zFX62nFAKxO5xpUCbkeSZjn0aY/dVbEW3NkZ2VNzE2yuPxeC4KL0wOAYPyGAdxng/K6+K4IOxKy5APJGORYL7oPrAjabidt/uKg5twvi+bBf8oXpXz9Hg8Ho/nVacXx9PMDI/rTpSU1rLc0m5qNdDSblDJrYKgngk+2daUQsNsTjJdCiiFgo62bHQsc3mJtpIvatnQZ00C5ALJTB4mYznQoi6B2RgKgSHXnRitDWx2DKmxjMeKyViAgI22oRgIvl9J+PLY2YTZg2LfSKSoJpbPqhlvjiq0EWwlbj0mBDQyw3rb0MpgJJaMRoI3RwICKdnsaGYDiRKS5w3NnbIikIK7ZYWxlh+udnh/TTCRl13Rzg1/POvgnouI57nIiJ/++vUn6ykTOUks2R3OtFTLuFsODomyZz3v0wizpUDw0VbqY6M8Ho9nAF6YHAIG5TEexXkm+10Hx+Wt9E881IABJqPBoeDDfr4vmwX/KHrnWQ5hrW14uJ2Rde36c0XJdO5qrfcej8fj8Xguh14cz9OWRuGmPS+3NJWmoRS6TcmVtiYfus6zAm6YYawEoznFZOxq2lAKVlraCTBSMJUbfufPUj3jbklRz1wmoBR0J43THV7irNp3cpactNwZD0mt4FkjIzGCqZzCIqinBgM8GA1YKAVoOHed1C/U/fW5iN/5pEE1NQRCMpmTVBPDRtugrSSQ8PUpyXsTIW0jeHci5MPNlLfGAqQQLjezo2mmlmZmWGu2KAROrGsa2EkFIPhoC0YjwTvjAVMnZCIOIz2Hz58+7/BFLWMqltQzwzgCIeTucCZjYbHq1uV+ee+x+LyTsU8SVX1slMfj8QzGC5NDwFF5jIM47wflVXNc3krWFSs1sN0xLJQV4c7g9xnm830ZLfiDqCaGj7ZSWpnh022zmzGluhMGn9U1S3XNnaLkoy17Y8/T4/F4PB7PXhzPSsNQDCVtbam0nCgphaDW7dIrBpJaasiMJVYSa2GrbSkHlki54SsS1w2WU4I7JTX0TphHVc1YrJjOu+ihSssNakyNJZSC2yVn/91asaQGlJT84lTI736SUk0Mj+sZIJiKBV8aC92gEyFQcCH14Gis+I3bOX60lmKxrLUMhVAyGitmC4rH1YxyJKgmLuOyllqkEAghuuKypp5ZispZvzfahk7oJnVHCooqYDrvhuQ0M8N3n3d4azTgt+8XboQjpr9DMjWWtbbmXsmJxds7GbUtN2Bzriu2SiGYiGGplu2zdV/mZGw/9NHj8XgO44XJIeCoPMZBXOYH5UVzVN4KwEbHIKVgoaxYKAU8O0KYHObzfRkt+INYqmesNDXbid3NmOoRCGfr1sBS3TAa2Rt7nh6Px+PxePbieHobyWsd7UTGbr1TSwyRlATCstFxOeGRgtS4eqeWGSaVqxbySrLW0syXAmbyilCKoXbC9DcLFALJ/bLc10kHTrB70hKsJ4Bt8xeVNssNzXwp5H452O2uXGtbKq1k1yp8UfVgf309Esl9luCPtxJIBQsjIQslxb+vJJQCWGlpVhqaciiYySs22ppG5gatJMZSCiXtzFBpGWbyrkO0HEoMlicNzQ9XO3xjNnfuY74q+p1MS3VNKPeaB+6UFJWmZqWpAfaJk1K4qKn7ZSdM+snYHo/Hc7X4tqYh4P6IYicxp/ra7cRwv3wzLBW9vJXfvJ3jrdGAZmZZ7xjGIsl4LPnGdMRCOYRjhL1hPt/zWPBvIh9tpmx0zCFRsh8FjMWSzY7rrvR4PB6Px3MzuVsK0NY9JGgLm21LXu3VahqLFE68KgUSA1jj/ixUUEv2nC4Cy05iuVdSFAI51E4Y2GsWGIS1lke1jB+sJqwmbuM505bPdzRCwHIzY63tar1ACsYi999iNWOx7v78IurBo+rrZma5Uwz4+lTM/XKAEG5QT2oslaYTJaUQlENBM7NoY+kYiJXL0swpQS2xJNpdAGMtAsGdYsC/qyRUT/mscl0cdDL1R0cBjHdr9kLgIgbaem+hSwFUuoLlVU3GriaGDzYT/mCxxf/zqMkfLLb4YHP4r7PH4/FcBn4raAg4Lo+xn6v6oLxoDloWqonhO0/bROr4TsNhP9+X0YI/iOWmJhIcKUr2ULiu3+XGzRRgPR6Px+Px7MXxPK5l1BLtRMq+ckchnKilLfMliWxYdhJDORRgLZlxNVxLQ2YsrxWcOwaGzwnTyyJ8VNWk1rLcyMgsvD0WHprWvFjXLFYzJmKBUYKNBISFUiQohxJrLZWmE5VuFdz5HrQK55W4sHpwkCX4g82EhzvZ7u8DIdjo6G5XoLvukRQoBPXMEkvB7moIgRKWWmYYl5J6apktuBzx1ba5dEfMwbUIheD+iOLuKa3vB51M2YHnqpwSzBYUKw0nJG8nZrdrUglIjb2Sydh+oKTH4/EcxndMDgG9AnC1ZdB2cLHS+6D88tjNz+97Wc73uF31gwxbIX4WNjqWXHC6NcgHks3kZgqwHo/H4/F4HO+Mh/zKXMx2YmlqN23aWifcKAnV1DKek0xGklsFRTl0GYepgdRCamA6L5kvKr46teeOGRYnjLWWDzcT/vBJm4c7GcVQMBVL7pUDnjc0f7Ha4VEtw3br1GZmWKo5UVIKgQWqGsZjSSgExjoRshQKKi2zrxuvJwpWWubS68Fet2uvvp4rKp43NAfn1+QDJzAHStDRBtPtrCyFsNoy1DMnSs7lFUq4Y74s589Ra1EMBQ93Mr7ztM2Hm8nuWhzFQSdT0M1C72cur5grugzNpboms2CBjsF1nrbNpU/G7tnNp/OSqZyLNxBCEEo3PGmqO1DSO5A8Hs+rxHC2or2CHJXHmFlXxBnLpX9QXiUHzzc1rqswNfbGnG8vg2kqd3KBfZOzaiZzgkZiyZ3Q4QrQzizj8c0UYD0ej8fj8TiEEHxzNkZg+f0vWlRamnzgxJ77Zbe5PBbLrlgkGM9JZnKCZqCYzktuFdwk6p3EuAEwDJcTpj+LsL+rbjRSfGUi5ItqxqOqE4bulwMqLbMrMGpgJ3MPURM5hQbWW5pi4CzREjf5utc1CXtW4VIoLrUePDh8cjYv3Sa6tbvisAE6GsZiwURO0cosjdSQaBgNBblA8OWxkLhb92XGklOX5/w5ai1CAVM5hbb2VBPNDzqZ5oqKp3XNWN9LBHArrxiLBE/qmmqiWW+7bM2FssIYJ1TWUstIdPH17KsyONPj8XjOyvVXBh5gLy/mTilgqZ6xWNMkxhJJV8DcLQeUw5vxwXQaK8bB8/3+iiC1UM7sjTnfl92C3+NWPuDjToKxdtcGNAhjLam13CoMr5js8Xg8Ho/n9PzSTAzAP/+ixWgkGIlcB50UGY9rmkIouFNWWAsrjQwhYDx2Yt12x4k9hUBeiUX2tJwkDvVs549qGR9sJkzEguVGRk4Jt3kOzMeWZQRKuOzCSktjcFa0vBLO0i00my3jMjktBEowV1CXXg8e3PyfiiU7qaUcWjrGYoCFEcVSzYlg5RCUkEzkJGOhJLHsipIA9QzmCupSOj1fRKjrPW/8u3XlpsiHKffKktvFgELgRNmlWrbbzdpPIERXxBRM51z2/TdnIiIlL8ROPehZaCYv+HxH89FWSiF033+uKJnNq0OxATd9cKbH4/GclZuplLzEDMqLuSmcJzOld77xlLOHvHkvf52ncCYO7koPKqiGqRA/L+9MBKy0MjY7lon4cHEHTpTc7Lip3e+O+39WPB6Px+N5GRBC8I3ZHBbB91Y6NDPnahmLJCMTgqZ22X15BdsdCVjW2ppYCV4vK+YLirW2HionzMEswkMIwUI5ZCav+Nl2ylJNs5kYJiLJnZJiNq/Y1Ja1xFmFc0owl1esNDWlQLCVGFaaBinddZEIOsay3NBstDRP6tml5gce3Pxfrgf8ZDNhK7FMxpLXCgopXJfnTmKIpWAiJ5mIJI3MMp3fq1eNtRhriZW4FAv+iWvRpV+oe2c83Pe8kZeWQECurHi4k7LcNNwruVzTu+Wgmwu6v3591BUsy5FgpwP3RwKKoTu/s3RpHmTQs5ACPq9pvreS8qiacb+sGA0DNIJndc1SXe8eb/9A0N6gpGGdYO/xeDwXiVcQPBfGRVkxXjT8+iq5yRb8465zP3dLAbcKipHI8rSukcJZkpRw0zrrmStcZ/KSZmb4cDPlk53sytbtJt0vHo/H4/HcRL4xE1EKxaF6p5oaPq9mVJqGN8cC5vLK2X6tE5OamqFzwhzMIjyKQiB5byJy065LAcXQ5QD2mI6cBXo0krtDVD7ZTtlsG4qhpBi47MntxLDW0kzmJbVM87ufNPnWXMivzecvtU7pbf7fLQXMPm1TCGC97SZ0d4zlVjHgi2rGfEmSV9KJkLiOV9jbdL5bVsRKXEqn52nXAvZPNO9/3uh0Xz7fzdMsh4LF7tf1ul+Xatlu/doxhpWm5q2xgFpiWRgJWCjtF13Pa6ce9Cz0qKZ5WtfcKSq2OpbNjiEO3OCd0UiiYe94y3vPCzd5cKbH4/GcFS9Mei6Ei8hMsRY+3Exu1JS6m2jBP01na6EueFB0xdBIJHlnPOTDrYyvT8vdojY1llAK5ouSdmb5dCdjoayYyqtdcfYy181PNfR4PB6P52o4rt759fncUNY7R3Ewi/A4AuFyMosBfPfpngVXtgQFZdkENKBwwlkhkNice109M9QTQys1aCuQCJ7WLWD4g8WMSsvyy3PRpdcp/Q6fuyXF/XL38c9a/nylzfubGZ1AY6zgtYITnLcT1yl5t6zIK3FpwyiPW4tmZqi0NI+rmo22ppq6Df/JnOS9yYiOFhSCvdcWArnbITkaCx7XNTN5d76zeUmlZXjeyPh0WzMeSx6MRszm5SEbdY+z2qkHPQsdHJoUCgiUZKWlGYskOSXcvRPL3ePtHc9NHpzp8Xg8Z8ULk54L4TxWjIMf8p81BHX14h2X18FNsuCfprP1/WUJGN7q/l1/Z2gpFNyejnbFx59uJjypa35uMuD18t7kzctet4vq0PV4PB6Px3M6blK9cxRhdxMzPEHzsdbyWTXjs52Ur0xEhArKocAiWEoEBsFM3rLV1oznFFuJIZKWMJK8PRay1dFstjQ1DZOxYCR0NbCxgnVt+elmQj01WGv5ymR8qef8znhIIzX8eSVhve3s27GCmbzinTH4opYRSQiloK0tcwXXJRl3RcnLcv4MXAtrWaxnLFYzNtuGWuas2nkleNbMSIzF2ISnOcndcki4N9dnt/NxqZbRyAzPGhkPRkJC6SamPxgNGQkFb4+FhOp4obWZGbY6mt/7POWrp3ACDXoW6g1NSgxsdTK2OprtxCKEE7PfHA13xUkJrLY0C2X33jd5cKbH4/GcFf+vnedCOI8Voz8zpZ7B5y3Be7N+St1lctrO1qnQ8nlLUE0MI5E8slMiM2AN/Pp8vJvNM+j9Lnrd/FRDj8fj8XhuHueJX7noyJb7I4qHOxlTueMzExfrblDJexMBkznJ47rgB6sp+cDSasNIALUUyqHrqlyqZgghuF2UZMbyk42UtrbMFySTsdrtilTdgTQdbamlhj961uFuOby0OqXnMHlcN8zmJSORYL1l6GjLo5pmMpb8gzeLTOUlj+tmtxP2flldeifsoLVY7NaZbWNpZLYr6ArqmaWg3NT3RmYpastiNaPQFkxGlke1jJWGJrMWa6EYCB7uaMZitc/J9K+ftgmO60TsCqOPaxqJG3A5FcsTHTmDnoWW6xn1xLDYMUjcoKRqkpFpy4/XDB9spYRCMJUTlEPJZtt1TcZK3OjBmR6Px3NW/L92ngvhrLaYg5kpy223W/giHZeekzltZ6vs7uQevM4HOyU+2EwIJUeKkj0uet0uokPX4/F4PB7P1XCe+JXLimy5Wwr42XaGtvbIOqKZGRZrKeUQEg0/WE2QwJ2iZL2tSa1gI7V0Whk7ieBrUxGPqjAeCvKB4Ek9Q1iXrxkP6MxzvhSYjCVLDc3PthK+MZs7x5U9mf0OE1evvTW69/e9QY0zBcHfueIhlAfXopkZHtc1uUDwpG4odUXJ3hCefCAIgFIoWW0b3iwLPqgJSoHgtUh3M9DdUKJ6Ctq6rsP+e+SkjtmeMDoWS6yxdIyLMjjJkTPoWWi5qWmklnIkEMBmYmgZy0bHkmlDXkk6xrKVSNrasN4xlCttyqHiN2/n/Ka6x+N5ZfD/2nkuhN6H/GkYlJnytC057bC//vBrz9k4S2drWXHidT5vaPmLcl3f1+PxeDwez9npiWPTeclUThFK4cQeKZjKKaZykg+3MiOVoZsAACAASURBVD7aSl/oNaehl7m42jJoO7h4XW5qaombRr3cNIxHgvFYcrsU8PZ4xGTkOjclgpWmoZ0Zfut2gf9wocCvvpYnkpKZohooSoITJQPhRLdyIPnR2tnO4bSc1WFSTcylHMdRHFyLSkujgGpHI2FXlKylltmCIqcEBvcAK3F16lYmupPi3bPIStvwyXbGo1rGekvzr560+cFqsvs9748odrrn2cwMj2oZ31/p8GfLbf7NszY/XE3IBa5hop7BbOHowTj91+vgs1AzM2wmhkLozmMzMWy2DQGgtaGtYTuBdgbbHY01lnpiWW/33tMPvvF4PK8OvmPScyHcH1G8v5G4gqBhyLq7hnNFyWxfkDMMzkzJrOukPA1+St35edHO1st+v9NyXd/X4/F4PB7P2ThP/ApwqZEt/dnZvSnjiTY8a2q+2NF8upMyE0s62nX1yb5jyCnBTAQzkWV6KiIxlsWaZiI2fPdZQiEQ/HQrYbYgySsxcIBJS8N03h3vSCR43rycDdSb4DDpX4tPtjImc5IndUMkoZ65Tsm5otqdfL7WMq4zEsFiPWM6gFoGyy1NpamRQpBX7tliOq9oZ4bf/6KJwPJLMzF3SwEfb6V8Xk15UtcoIXY7LZ81NduJob2dMp1zw2lm84fzNQddr4O29ErLMBEr2tpirWWrbWhrw3LLIoVgOhYoCS0DzUyw1DC8PaYYCxVvjwf8bEdzt2x816TH43kl8MLkDeeic3fOg7WWZmr4y7WU8VhQjtSujeJZXbNU19wrKRZKARoGZqb0BqmcBj+l7vycNvAd3HUun3Cdz/p+F7Vu1/V9PR6Px+Px7HGaOvQ84piFSxXU+rOzH9cyvrfc5lFNEyvBG6MBSkBqLM+amnY1Yy6/J4z1Y61lva15VMuYzSsCCaVQoBDsdAy1xDIeSya6ed3Ari15vL9Ov6T90xfNgL8K+tfiWSOjk7kOyZFQMJ2XjHenV4PLaKw0NcZCIzO798l6Isg1NOWe9RuwwjKVc12WFsP3VhKKoeTdiYhIwvc3Uu6VFWHfPbbTsUzGCmsNn1c1X50Kj5zaffB6HbSlrzQ0rxUkn1UzqqmhqS3bHUsgLEIKipET3YuACd3f50NFLbOsty2lUPgoIo/H88rgt2BuKNZaPtxM+MMnbR7uZBRDF8xcDAUPdzK+87TNh5sJ9giLykXy0VbKYt3wlckQbQUSi8CJjaORZDSSLNY0X9RSVluGL48dFk1v5wynddtuJ4b7p/V9e/bRb185iZrmxOt8lve7yHW7ru/r8Xg8Ho/nbHXoecSxq4psGYkkrczQ1DCRk+QDNximkVlWW5rJSFIKJCtNzUrr8PdYaWmeNwyTOYEV8MZIwE5iGc05wTSvBFttZ+kFDtmSwQ3OmS9eziOZc5ic7muv22EyEkleL4f84kzMexMRXxoLuZXfu07gulVnC4paatlOLDkJiYGGEftEyXpqmOt77UgoSIzl4+2MZ42MxMBXJ4Pu+xgy67ThxNjd++GNUUVmLM1scL158HodtKVn1lIM3PE+bxpaaS86QFBQYld0t9blWBYCxUQkqKWapVrmo4g8Hs8rhe+YvKHsD7Le+8A+KZi5x0V1WvbbcyQSKQRLNWeLcbYIsBYE8MFmxn/6erRr2ejnVs5NgT4uiBxcQPfLMKXuujpdTxP4Dq6rVXPydT7t+130ul3X9/V4PB6Px3O2OvS88SuXHdlireUHqwn//IsWY5FkJBQoAdqCNvBZVTMe6z0XUEPz7kS42znZMbDeMgTSMpt3ItZCt9543pB80jTEecgp2GgZJM66229L1kAjs/zWdHzm4z8NN81h0rNDzxUVT+uasQHNgr1r91k1YyYn2EigKC0WQT0zGGCusL/DVQlX20oBP1rtEEjB6yMRcwVDpaVZaRoy42rG6bzLL80pwXZiqbQM98uHa/NB16vflt7IrBNSc+75qKUtbQ3jERSUy85MrbsPy5Ekr1wWZSAE621z7UKxx+PxXCX+af0Gcp6snp7YddETDg/ac+6XA2bzkkrLUGlqUmMJpeBu2dliSqEY+L6lAN7Id6cCHnFevamB745fnU39ormsCZOnpbebO+hhooe2lvVU8KBwcq7Nad/votftur6vx+PxeDyvOtXE8OP1BGMtP6hkA3PF++tQYzhSHGtmXWGom0+OhbHYDbe5bEHto62U7610dgfbALS1ZbOjedZIWWlmrDZhpqCYyUmsgCe1jO3EECVd93UACEE5koAAIVgoh5RCSSNtstZ2mYfN1KLRzOUVmy3XgTcaCRqp5VZe8eWuoHXRG9cHcw+PY1AG/FXT23ieygmWarYrJu5fWwHM5BW3CpK5vOQH24K5nCUxlpm8YjySxGr/a7SFUArGIsm/Xe7wH9xyQnAhkNwvS+6X3ddN5hI+3kz5vGPQFsCy2dbM5uUhS/eg69VvSw+E5cdrKfluy+qD0YC1tsFY6FiLxE0TLwSS1NK9hyCWUEvNUAjFHo/Hc1V4YfIG8iJB1i/aaXmQQVabvQ/5/bdXauyx2TUPipZ0PNgXRN7LntxO3Af5u+PBwI7Lm8JFX//zMCjw/eB1flAwPCiebpf2NO93Get2Xd/X4/F4PJ5XFWstf/KsxQcbKeOxpBjKQ7niMzlJTsFK07KVaJRwQtKXxvry+qxlsZ7xuOb+vvc+m20nyDxraiotzdcmIzih3j2PoNbb5E+1pRwpLM6WXWlqdhJDR8OtnGAjsWx2RarRSJIaSymQPE8E1RTyuFzKn26mzOYkj2pOnJ3KKb59O+aPnrSptAxx4Gq90e7k6Me1jExb7pQUv72QpxwKPtxMLnzj+qY5TPo3nm+XFEs1zUS8X5zUwHbH8JWJgK0OvFmyLOQt08fUe/UMbpcUgYC2Nofs7dZaFuuap/WMjcQwEUlywnXOVtqaH64m3C0HLJQUQogTr9dIJPmb83kyK5jKSVabmrY25APFTqLJ9U1rt9aJquWuCp8YSzmQQyEUezwez1Xh/7UbcgbtnC7VU+6VT7d0/cHML9JpeRQXOR1ZCHZ3GZfqGYs1TWIskRR8aTTgbjmgHN7czrfLuP7noX8396jrvKL/f/beJDiyLL3S++69b/DnA+YAEDMis7Iqs7IGdnEURXHobjbbrGXdWmhYaSvTSjKZtJdJZtpqI5NW2mihhbRoUxvVMhO7yS62yK4u1sAqsnKqHAIxA4HBAfj83rv31+K6Aw6EY4gIRAIReT+zrIpMIAD3hxfhv5/7n3PObh05y9d7FT+3i/q+gUAgEAh8VfmwWfCDpwVXa4Z0bJtrlCv+uFvy/ccFS5nmzlTMsjE0c8fdVsmnOwWp0cxWFM2+MHDCSsOQDUUaJ4JS8I2ZGCvCnz4cMJUUvDV1/EHtiwpqo0N+h7f5rvUsax1LqmFQQi1WJCai5xy90pFbYTe3DIzihnO0SmG1p3mvKlypGHrWb1aOlz4iwmzFEBlFtxT2ckendCilmE819UgxWzEo9eoOrl9Hh8noQPnDZsF0qtgaOGKlqESKXukoBOZSzUwSUzUOaQsnja2jsqGlTFMKVIx+Zht3tW355U6BANYJn+yUVGNoxL5ZfSZRrO7563+rbs50vcav/WxF86DlqEXQHG7bKoYFoqUwVzEk2tu7SwezNX0phOJAIBD4sgh/211STrL8PuhYtgeOlUbks2xOEAbHxcCX2bQ8jleRXTOVaL41l/Ctsc3Kvdxxr3Wx7eMvy6u4/i/DpOs8Yu2cv96r5KK+byAQCAQCXyVGB6y1SJFMGGXWenY/kqdTCqUTUg27A+9i2Bo4KlrQyrCTO4yCT3Z94/ViRfOk66glip9vFpQiOITvPx5QjzWL2bNvWV5GUBs5fiKl6JQ+fqgRK5oDh1b+8DMxiisZNPsy3Dg07OW+qRsUVxKoJpqe9ZmG9eE2qAU+2SnZ6lvmKpp+qXDiEFFkkWahYljKNAJs9x3/68cdjFJ8ez5iYBXVCW01L3Nw/bo5TI4ePH/YLHnSLWkOhLlEc7Vu+OZMzK1GxP1Wyf++KbTt5NnaibA9EFamIqqRZqNv+d58xG7u9u3t3cLyk40BncIRa8VSZtBYHnd9CVMtUrQHjhsNzV9vWhQp31uIz3S9Rp/zqFOiNXRLmIn9ZrAe/gjnKoa5VONEaBdCLdY0Yj2xLDQQCATeVIIweUk56eR0LjHEBlaHTW0rjeNfGMfFwBdpODzOdj3iPLNr2iX8Yjs/JD6uNDTdEu637YVkMp4nr+L6BwKBQCAQCHwZjA5YU+2t2+P6Wd8Kaz1LPdZofMlIM3dYJ2wNHL92JWEqUax1LR81C+YzzXTsN9c+2y2424LZNKIWKSqxF+JqUcQvipx/fq/HdxcSvjUbE2t1LoLayPGzXNP8dCNHK9/o3CqEeGykbcQKRLM98A3L8ynooSgJjicd4beXjxStAJu9kk92LG9NeXFJK3hnWlOPFes9y0bPslzV1GIDXUsuwpOO42En53bdTFw8eNGD69fVYXJw8Hz8c/3mbMz3ph3/74Zhe+AOFRi1Sy9Mrkx5C/Zou/Y3l1J+sJ7v29t/upWz1XcsZgYNbA8c7VKoRRoU1I2wMRD6zgvNsZIzv+8YXfuZVPN/fCo87FjW+4pYC1pDI/Kbs51hpmQtgljD7yxPLgsNBAKBN5UgTF5CTrP87jfVpZp7bcviMGh8EuNi4HnarkecR3aNiPBpW/F5V3GjUh4SH//V4wH325Zvz0W81Yj3h7QvM5PxvHgV1/9146LayAOBQCAQCLwcowPWSY3JzdxhgNEreWZgvWvplsLthiFSiqvViNnUsDHo0y+FjgajGW4qCrfmDgpG+lb811SKbun4xVbBZs/y7kzMdGpeWlAbOX6WMkNzIMykfj6zAuNykFLKi61aSCNwTrGdC8sI11PYjTWLlcOP4V675MOdksIJ99slU7Ei0orbjYiuFTqFn+96FqYT/1zV0ApvObx4MKkcaK3zYnE/z+sw+bJmtpf5PkopvjstgOVepOha/34j1oobdbNfWjO+XXu9FvHejOODZkkj9puk86neFyW3Bz43dCDC7brfXtwrHE97jtwJ//SLHlmk+IPr2Zmvw/VaxB/dyvigWVKPYbMv3G+VbPYtrUJoRIrZiv9ev3M15TcWX01LeyAQCFxWgjB5CTnN8ruUae63SpT4AfBpz7LSePaF8agY+Kps1y+bXfNhs+CzrmYhlkObl4V17OU+GPx+26FV+cx26JeRyXhevIrr/7pw0W3kgUAgEAgEXo7RAetoDh1vTN7uuUOFHhrYGVhSo5lPD2a7ilFcSQ2JhvfnYvpW+HinYCaFvULIooMSGq0UFaOQRPPebMyTrsWhuNMwLz0vjDt+5lJFuxAaiTrInRz73L4TKkbx7kzMZs8xV3HccF7EnKoYtgfCXOpFsgftkp9tFRQOqhpK6yiMIdLCL3cL2oXjRtWgtGatZ5lJNF5v9GKlAb940Crpl8J6zx0qByqdcL9j+ZOH/XOdm8bFwdx5a3t/aFFfrppXMrOd52z4nSnhvYXKRLv6Rt8+s107+v8/edCnVwhzsTCwwubAooGBFWaHgvP9tv+asV+gZCrV/Jv1nL2CfUv3Wa7DuKW+Hit+ezl9xlI/er6BQCDwVSMIk5eQ0yy/1UhzqxGxulcylSiedB0rjcOfM0kMPE/b9Tgvk10z2g5diIWjOtx6z6GVIlaKmVQdux36ZWUyviyv6vq/DlyGNvJAIBAIBAIvzuiAdXwOHTUmW+RQc3IpQnMg/PqioWIOD3ixhly8ENccCkFZZNjqO9+O3fF5j3rY9h1pf1g7nZzfvDDu+FmuGnZzx+bAYbQwKBXVGJz4BueehW/MRCxnhicdn0MI0HXwnfkIlBdqn3QLPt3x4mO3hI4IkdZcbyiWKoatgaNVwE4hQ0u4n/fUMNNyhAG2+n5D752Z+JBIqoD51LBQ0We6DqdtI04SB5ttx3rPP88v9kpKgZW6IdbqXGe2SbPh+IZo7hw/Xs/5d5bjU7cTn7dAc2Sx/mC7ZLFS8KRnWesK/dIxk2gWq4bSQatwZJFGAc4JrVy4Wnuxe/F1tdQHAoHAl8Gbo3y8QZzF8rtS92PKvVZBtxQKJ6eKgedhu57Ey7zQjrZDJy0HrnUso4cwsgcdtx16WTIZTxoAR9e/VVg2+8Jax1LuZxwdtpu8SU18l6WNPBAIBAKBwIszfsA6mkPvt/yhNOLbjBXQs8JOLtRiaPZ9YaNBMZdpZhPNTKJ50vV25e2+kBl/wNwvZb+EZiRy9qzP/gOoR7DRc/z6YvTS88K442ep6huQFyqG9Z7mF9sF3dIfjida8e6Mn+EAeqVFxYpfthUdq5huOW43FKn2FuzdXEiMphKBdZbY+G3MWAutwjEd+zKdRiRkRrPVH26aHsnr3CuERB/e3ASfm3ijbk6dm866jSgifLhj92e0bun4dM/iRNjsOAonfLJT8N5czK8uJFQjfS4z2zOzoQir7ZJ7Lbu/IVpThnosz7Wd+Dx2dRFhrevv39Ro5iqOREcoFLsDx0bfMVfRVIefrxX0Lcyl6qXuxTe15DMQCARehjdD+XjDOIvlVynFnUbEXKq43/IZPqeJgedhuz6JF2lHHm2HPp3wsfKIgFqP9cTtUJicyfhl5hmeZQB8d9oQK+FPH+bMpnoY0O23AR62LfdbJTfqhswovjUXvzGDyGVrIw8EAoFAIPD8HD3gvtOIWMo06z3HVr9ko+doJBoQnAi12BAbTawVTmCzZ1nvWWKgkfgWYite8HHiBc0po/dFSTf8Z2Y4DxkFhZNzmxdGh/c/2XTs5I7lquFWzWCAe21HFglXa9F+sc3jbkkzF0rxj/dGxTGdan62mfPJbkkt1iQaskhTOuFBx4tYmVFs9y3dEq5U/GNvlY651FA4x1wW+Y088VunzdwRKziaNO7EX9elbHQ9jr8OZ3Gq/Hgjpzlw/MpCglEKEeGnmwPu7pXUI/+4K0aRGfhou6BfCF+biVkZCqMv+jPYyx1/9qjHzzYKqrEiUr61vF3CUtUcEmPPe1N2nA+bBY97juv1iMFeyV4uGBQM7fypgXbuvH070V54VzCbmnO7F0PUUSAQCHiCMHkJeR7Lb+7g966lZ34xfBnb9avgpO3QSB1ufTQKymMKYcYzGS/iRf4sA+CfPBwgeNvPg45v/KvHGqOhHvtB7RfbBf/eG9bEd9nayEMBTyAQCAQCz8+kA+5qpLnT0Cxlmh9t5HQLy90WvDMToZVio+f85p+CWqQphwfgX5/2TddaCU4UPecAYVRu7YB24cXCkRXcDktN4HzmhXHHz3Tc498+LahGiplU00g1vUKoGC9IrfdKPt2z3KoZdgthLhGupH4ubVu/GNArLLlVpMY/33qkUMNVyGqk2BxYcqeJjaKVC1Ox0LOKd2b8zDeyxm/3HInxYu4IJ8L2wDdMj0caTboOZ3WqCMKTruU9K1QjxWrb8uG2ZT7V+9cZIDaKWixYhNU9Lw7eaUTP/TMYn89/vlUwV9GkRtEpHR9sl1QihVKwnJnxBdJz3ZQdMbpG785EPO44ljLNw7Yi1TLcHBVirVH4TdfMQKsQ7jT8/Vg6OZd78XmijkbOtDC/BgKBN5EgTF5CXpXlGi5fvsloO3QSR1sffc7Q5Osxnsn4ZecZnmUAHFihXToAvlVNWa7iM3S6jk7haBeCwg+GP3xasFTN+ebsy21NXhYB7rK0kYdT6UAgEAgEXo7jDrhjrUiU4sdNy3uzEdcyw8D5Zu5RSY4ToVsId6YMRiuWM81mX7E58EJcxSgEaJcOx7B4JTs4pB/ZmOF854WpRPOPV6p8bbo49Lxy63jcdXzSzPl0z7LSMHx3PiG3wocPWzg5aCMHqEWKnhU6hS+suV4zKAXNgd+6q2jFTi7MJ9ApYGvg+NZctG+LB2+N3yscFeO3B0sntEvol44sVjxplzxsl/sxQPUIHrQtf7zK/qxnxZFbwaiTFxyedoV65DdelzL/vQXLvbbPuLTOt6YvVDRXKprdgebdGcX9VslSpsmMeq6fwfh8Xo28/V3hBb967Dc01zre4n917Od+3puycODmuVr17zUWK5rbDcPdlqVqhFIckdIIUDjf1j1X0Xxt2t//53EvnlVAvlJR/IuHfe+2SnSYXwOBwBtJECYvIa/acj36Hs9ru34VjLZDJ3G09bFdOG7Wnx2yxgXai8gzPItVeb3nBxyQYU5mzEpdAZZ7LWG+oqlHfvjaGjh+9HTAw459oUHjsglwl6WNPBTwBAKBQCBwmOc9xDzpgPvrMwalEgYWdgu/6baYaR53LLEGQbFU1SxnfuuwEil+91rKP7/XYyaGrVzRt8JiZphN/DbdiKM25vOeFyY/L1jMDPNpyncXDhYBRITdTeHxQLHdKpmKNRpv7zZKsZM73p6OmE80SikasaZVOKxzrPUsmdFoDbkVHrQd/9tOh0asmK8YFquGJx0vTpYC99ol231Hz/pm8Gs1M9xohL/eGPCk65hNfARQrDWlwJ89Koi0P9BfqUe+GWYCpQhTifLisXP8cqfgkx1vI88i0Npvrj7tOta6jtkU3p02aKVY7zlu1MyZfwZH5/NxV9So0V0raMRezJ5N9CvblIUDN0+s1X6R09tTEX0riBM2+4qB83P5TAxWfCt7FulzuxfPGnX0oON42LHMpuqQmy7Mr4FA4E0iCJOXlMtmuX5VjLZDnTxbgDPe+jid+uFoMTssTB4VaH+xnX/peYZnsSrvF/mog5zM1bYd2nbUoSbLmdTQs3LmxsWjjAtwAys87NhDRTuLVc2PN4rn/rovymVoIw8FPIFAIBAIHPCyh5iTDrj/eLXHr15JKZyw3nOsd70INzu0PM+khvnUf62KUXyyU/IrCwn/wUpG3/qimycd98xMNcnG/KrmheOe13L14BoopbiRCfOJ8PNSkw+bwzslLGeanvVClShv5E60Yj41zCaKUnyxjQaqkVA6oRb59u97Lcdm39IuHVmkMMDjrmO9763EAws9W/IkUkM7sY8CioziUddxpxERK28br8eK1ZbfPlxpTH6vMHKzFE7488c5j7uWKxW/9RlpX8Y4sEIuQlk6PhvA//Ogx9VqxC934Xot4jeuxOzlbuLMNC56f9Eq2Og6vj4bsZSZQ66o8UZ3PZzPm7nb35p8me3E44T3vdwynfj7Z7zIaTrxH7sz5ZvaNV6ITCNvMT/Pe/Es7x+6pfMZ9DXDek94a+rZzwnzayAQeBMIwuQl5bJZrl8Vo+3QP32iWIifHTRW6n4I+NutgtsNQ6x9OPdxAu1F5Bmexaq8X+QzzMkcDRpHRUk4yNJ8kUFjJMBdqSjuty33WiVGqeE2pj+dftxxlOJoDiw3aobp9HTB8GV4ldEEZyUU8AQCgUAgcMCHzYIfbxQIwtOu2z+8XK4ZljK/rfi8h6OjeSge5k7eaRy8nndLty9WFk6IFFzJNH90s0I9UnzYLPjJZs5O7qhEikT5Tbl26YXJlakDy/OrnBdOel5HyQxcSyMqkaKcivh4p6BmoGf95uNaz6LBb0gq2OgJvdKhUaRGMZtqqpH/mNHQKS0bfcdMDJ/sljztOvoOphM/nzigsPC0sOwOvCU+0oqKhn/5sMedRkQt0mz1HNYp+g7+5cMBK42SWqRZrmmWMrMvqC3XNPf2SnIHq+2SxVQhStMpLZ3S0RtmLUUKChQG4fM9R1EWzGYRkRI6pfAnD/uHROxJone/FOYqmkdty/2hddqJw4nGoIbbpgfXdX3Y2r7ZtbRKwboYEOZS/cx2YruEJ33Fx6u9ffFxpWHolY57bbf/GHIrPO5afvh0wC93Cq7VDN9bSFiqmv0ip7Wu5W+24FG7pJXDtRpMxRqHYrc433vxLO8f1nu+HT7WvjH9OML8GggEXneCMHnJuSyW61fJN2dj7lUdn/cUlb59Zju0Hmv+k7czskhzr32yQPsq8gxPszmdxao8sqyAz8kcDRpHRUnwg7gT4W6rYK3jaOaWp13L715LT82HHAlwDzpu4jZmpGAmASea1bbl+4/7/JM7tVOvwcvwZUQTnMZlK+AJBAKBQOCi2B1Y/sXDPruFI1b60OHlw7blfqvkViPiZu35DkdPmoeqR8TKwgndUvZnuEklNBWjuFH3QulITHvV88LzPq/lmhfbphNfAPSo4/MhlzPDTKJp5o7tvqNfelFsMTPMVwxvT0fs5MJ23+0f3C5XI1IN/3Y9pxErNvqW2dQQ6WELNyBa2B74r/m0Z1msGnr1iIrx1yY18HRg+elWyWJmaEQ+27MSqX1R8HbdsFL3m4sfbBcMSkekFErrfYFreyBUjM9X3MsdA+szNLUSuk4o+473FZSiuL9b8MP1AXcaht+9VqFbOFbb7tDMZwUiEbpW2OxZPtz2j7Uea7IYOoWjNraB+KTrUAiF8yLjdOqv8wfbBb+9lCDih+oPmwV/sa0xCt5dVPtbv99/3Ge1ZXln2pfV/OXjAWt9S6TgWs1wq2542LH89WbOfMVwq+HFxremYt6aiumWjp9uDvioWbJb+Hip874Xz/L+YeS4Oilnf0SYXwOBwOtMECYDF45SinfqwtWKEE9HJ26Hfnv+5K/1PHmGe4VjrWP547ET1nHB8aw2p5WG4bO9k63KI8sK+JzMJyNr9wTu7hXDk2NLLdYsG28nOYu16u6ez3E6bhtzhFaKGzXDD58W/MH1yRYcOF2UPWs21UVHE1yWAp5AIBAIBC6a7z/u86jjBarRnNC34kW0nqMQxyc7Jd+ci7hVj868hfWy0S3HldBEw/KTi4oyOul5LWWG+22LxYuRrRycgp1cqEewXNFcSTWf75XMpJr3ZiMSrciMJssOl7yA31zslMKtumY3F7rWEQ+t4e1CaOWO5gAEH3GUaV+w2C2E3AIoDIpGpIat4ortgTCbHoiCH20XXK1qvjUfM5so/mrXcmVoQY+V3wBMNOzmBPYDuwAAIABJREFUgogwcD5z0mjILTzqwHszwic7FqFgLtFU64anfcefP+nzk6c5M7FmPtPEWrNcVax1/RZmohUVo8kyYTd3OCc86Am9wnGnAXuFsNG3w9ZwxfWazyRVChqxohDFTu4FSYAPmiXzsY+DGuVQFtaxmzsSA3/+JCdWXtS7kipQ/nrkVrDiG7ev18yhtnHwQvrvLFW4Vi34xbaPHLhaNed6L57lz8vIcbV7TM7+OGF+DQQCrzNBmDwnLksD8utMPYJ3XnI79Cwv8iLCatvyi+2cmzVDLVYTBUcR4cMde2pZykpdY4UTrcpLmWa15YeoxczwoG0nfu7jbsmjjuN2wwuZlhItkESa711Rp1qrChFag+O3MceJtUKQiW84ROCzjuJnD/oTRdmPmgWJ9nlHsVGnZlNddDTBZSngCQQCgUDgItnLHT98WnC95kVJAdZ6lvWuRStv181LL9j8yQPvdPi4GfHffPf06JfziG656HlhEic9r2qkuV03rLYsU4liIdO8PxfTKmTftq4VdK3w926ktHOoRMdfm4ctSy2GdgFTqQaBWuRnyOZAiIfCmNZQB9qlcKWqcMqXK1onwzZww3bP0uxb2rkbPg7ffF3JFE97lj976KhEvtymooVcFBUD/VIQ8RuSndKLlWZ4r2TGC6K5A+vcoU2+3YHj850SlLBTCNVEiA386cM+n+yWJFr5Lc7Eb8rGRjOXaVamNT/fGPDJrhcvcwvzFQExoHwJTaJH2Y4xt+qGn276GIJb9Yi1I5dzvWfZ6jvahTAbw+ctyzvTEWa4eVqPwBloFYq1rmO56ljOzH7b+P5GJJBFhv/wrYTaMLPzPO/Fs/x5iZQil8k5+0cJ82sgEHidCcLkS3LZGpC/6pzlRX61bbm7V1CPFV+fifdPWMcFxx9v5DQHjl9ZSE4tS7nfcdysGe61nxUxR6RGUR8OOqk53EY4oltafrZZUImgVWgyAxq1fzL7o6f5qdaqWCkedSz1E4beEVagEU+2fXzWUXzW1XxnabIo+/lewQ+2Cr47H3G1ljzz8eMaAi8qmuAyFPAEAoFAIHDR3G+XCLI/+6z17L5ddKdwNPteSIsUGITNXsmDtmW91+Qf3cr4/WuVYwXK84xuuUxRRqc9r5V65PPQt0tu1g3TiWY+hRs1s79ZVzWKb83E/MV6fuxc2bfC426JCBTOYpQvhhlYwYniWlWjleJRp2BgIRfYLRxpVKIEchG2B4qlKswNr+1nuyWFCDdqhkj7kp3VluNRxzJfUbw1ZbBAI9XkTvHZbgkIjWErtsYLj3qYHdktBQNcyQxd68XXq5nP09zL/dbtO9MRiPDpTklsSjb7wtWqL3/slg4riubAMR1rthGWM8PtRsSj7gAlMJP6a5oYWOta7u6VzFUMv7oQs1I3KKXYHvj8TtN49lre27O0CmEqVjQH/v1Ap/TW9BFaKW7W/LbrF3uWaqQR8d/vZl09sxGplDr3e/Esf14Wq5oPtgu+Mx/vC6bHEebXQCDwOhP+9npJxhuQT9qqgy+nAfmrzmkv8t3S7W8u3mlEE1/k/amw8KRrec8K1RNEvlEWTy3yw8tJVuV/cCMFFB/vlqQR7OXCbOoFynbh+KhZooBbNXNo2zF3ws2aZiZRQ6tJRD1WEzcd70wZ/nLdMR2fLsC1C8eNmn7G9rGX+7zPhXiyuNstHQ/bltsNw4OOP2k+eh0vW0PgZSjgCQQCgUDgorm7Z2lE3ulROi8sNWK1n4UYK2FrIDQHgkPQKK5kfovuzx4PuNuy/OGNyrEH7hcd3fKqOPq8CschW28tNvxHbyVUI7jXds9s1n3/0YCSyQfTIuK3VnuOrhVqxh9ilyJs9xylU4DD93RDId5SrYcFQaUDg6JfClYsqy2YrxiafUc7tyRG8XTgKBxs9i3WwUpDE2lFPTbMRI67e47352PmUsXuwM9xmVH0SgfDQ3IRcAILFbW/XbuXO/rWP/6pRPG4CxrYLoTdXMgiyCJvXZ+vKLYGlptVX9qzM3D0rWKtZ3nac2RaEcdegFVa07feUr5Y1yjUvgMHoFMcb1neGvgsSa0UrcJb6lu5MJ8e/jytFAsVn095o+6dSp/ulsxXzJe2nXvanxejFNerhpu1k+f6ML8GAoHXnfC310swakA+7pQLLp9A81XgpBf5j3cKOoXwrbmYlRNevJ92hXqkWe857jRO/pnNJJrVtuPfv52dyXp0qxHxUTPnn632AUtiNAsV/ybhrenokCjpRHDAbOrFyrnU50f+ykI8cdPxVj1C420f6QlLkz7tEuYqBjj8iffbJQY/8E5ivyFQKTTeOrQy4RpdpobAy1DAEwgEAoHARVOIcL2uedzxIph18LTvt8ZK62gX4BAakcJoRXeYW/i0L2SRYy93/HjDH/BOem2/jFbs8+Do8/rBmqIQaJRypjz0kXNjvCxnhLfSO+qxYjbR7BWO6UTRHfj5xTmHRdEtBZTgHIxkqjTyB8bVSFM1fr77fNfSK4VIQxpp5isGcdAcOCIFV2sGBfScP6xdmY7YGAx43CooBa5UNb3SZ1YWTpGLoBQoEToWloyidD62qlv6LcnR44nVMK904KhGwmrLEmlF7rwAa0W4L4rFiqZivAB+r1WSDR/7TATfmkueEb2dyCGrte++mSxO7uVCPT4o3Ym1F5LBH/a3Ckcrl/2yyVgrljJfCLQ58PP8l8VZ/rzcb5XD+XXy4XqYXwOBwJtAECZfglED8kkbWHC5BJqvAie9yMcKfvdqylRyWk6LMJUo1rt2Pwj7OMbDps9iPZpKNL+5VKEe632h7H7bRwFER0TJdiEsVb2dBhhmR8JW39GYMHxMJZrfXIz5izVv+570LC2wM3CsNAy5g29MH/6su3uWxgmXZ22suKcee2vOSmPy516mhsA3dYsjEAgEAoGzEivFfMVnXX82PKztWUcpQu78oaVmmC1o/MbkbKpRCu63HdXIcashpx64XyYr9nkyel7pggXgnTOKWCPnxpWK3i/LMXgRb73nRcnRBt/WwOFEMMpHRD3qOjItdEoAIdb+SLnvoDYU3RINvRL6pSON9FCAg9lUE2tF33kr83YfKsYLd2Z4MF2LNDdqhocdR2kdYgzVSKEUVMww41EJfatoREIpPscx0Yq5VLHdc1SMpmeFa3XDZt/Rzh27uaWZw2wKiQIUlE7Rzi1GOWKt0cpvM96ei/CjtJq4iTuaf0cLA/5TJr//mkr89miilbfDC2glbA0szYFDAalWJBrapd96/dFGzrWq5soZIn9eBSf9eQnzayAQ+CoQhMmX4O7e4RPPk7hMAs1XhUkv8v/0rpzppH4kEBZnaLd70bDp8UHjk2ZJqsE68afY1m9KLlV9G+E49QgedyzfPmZ4+v1rFe7uWZoDS6QU9VjvD2btwuGAlYa3hWwO5Bnbh2+wPun5HpzYGuWtYMdxmRoC39QtjkAgEAgEzspocy9S8LhrWc40uwWU1r9W62GDsQwPR69kar/cJDXC3jDO5ZtzOhy4Pwfjzo2bNc39tmMm1TSHWYlaKb+9ZzQLFcVGV1isGmYTb3nOnaJvBa2GBTjixT5BUTXeam2HJSnFcNtRhjmh1UTItKZXQj1WtAqHVn6TcsSdhvGN212hObBUI78NOZcqOoXglGK+omH4GBnauGeTCIufXZ0IdxoRHzX7tHOLFUWi/GblyA1kNCjnMCicwJWKZjrxbdl7ubA9GAqemWY2OTiYBz//jhYGarHPv5zEfKpZLSwO3+S93vOibLPvyKID4VOG/7tU9bmgHzVL5pcv3xwY5tdAIPBVIAiTL4EXcM4mSF0mgearwqSm9Lt7JWvGtx2Ww5/fck2zlJlDOYnLNc29vZLKKUHT8OJh0+ODxqNOSd9qNnp+E/JKpplLDenYQOatMb5pcL3vbT6/2H62+X06NfzhzQo/3sgRhKc9oXRCpBU364alzPi8oWNsH7FSdE5osB7PRxpvY5zEZWwIfFO3OAKBQCAQOI1b9YifbubkTrhW1XRKv7EGXuzSys9HIkI10kTaH0Bq5fMRI2Crb5lJ0nDg/px8czamXQh/uVbwqF3yYdOx2XUsZF5YVEoxkyimopjcFjhnuddS7Ba+AKdf+p9PNQKl4FpVMZ9FDCys9Uqshb0cphJhrqJp9h1aa9qFMNCWQekXJQC6JawcGvQ0d6Y1X5uO+MF6n82+MHrbUjFQjWGhoulZf8iNQD1RKA2lhd3htmQ6FEkHwy3OeqIpnI8HKJwgw19rpahFwuOOozlwJEaRxYpZFJGBzZ5lvWdZzsz+Ab0ZZnpaEeZSg+B/fZTbUxHNgaNdeCEydw6FYirRh0TJXumoRorlqkGJ0EgUe4V//3AZLdFhfg0EAm8yQZh8CeJh+/ZxAs44l1GgeVOZ2JQOfNYq+XA7ZzcXvj4Tc62qcSgetS3325bbdZ8vg/JZMx9sF9w8JV/yaNj0JDH0ztSz4uE4U4nmrUbM21MRP9sqmE70IQv2eCi6b0eEWqS41YiObX4f38acSibYPgo51vZxZ8rwrx/D3DFPfbnmA8JnEj+c3qwfb3sJDYGBQCAQCFwephLNdKxoFfDWdMxax/Gk463FpfPiT6JBaU0tVkQKuqUQG2E2MaRasVdIOHB/Tkaz6f22ZbkaMZMaHrVL/qrI2eo7OpHfWvzeQsKViuJhx+d+OoRYy37ZjVL+YHuhAtOxGVqSFU97imoCifEW5QhBaW/FLpwi1rDrHO3SDUXmw+9LdgtHomGjL7RKL35GSnGjZqhEimbusyAtvgipFikip2gbQYnjas0LiGs9S6IhizQDCzHQKhyxAq0VJcOWb2A3h25huVk3ZMYfei9OJTT7vpAJpVjzIacsZ2ZoyYanPcf3Fvz8+kGzxMnhXPSlzDBX0VRK30BeN4ruMGPSCQycQ4CZVJNoxVSs2B4IK1MxtWPKJQOBQCDwagmKwUswssMsnCGPJAg0Xx6TmtJXWyWPOo535xJ+2cx52i0xOuJq5u0bFlht+eFnpRGTGsXVzKBQxzY5j4dNN2LFB9v5YTF0KFwfJx6OM7qXbtcNqy3LTHogTo6HoqN87uW35yKmhzmZk5rfX8b2case+XKcY95vLGWa+62SYmgZWswm3/+hITAQCAQCgcuHQvHebMzqXsnACY0ErFMo/CaZwjcpV41CgE4pTBtFPVbk1hfjhAP352PSbPrOdExqNBUDSvv57nGn5F89LnnYsVQMVGKFSEQlEjZ7lmoEVyreXt0TQZfQtY6idFS0b74uRdHKhbqBTHubvojPVWzmjls1TTYczUR89uKTrqNqFM3cIg5KBcYIW7mQOUHh7dgi0IiFUhS1SFEz/p5xwyKZ7Z4v2NEIM4nPnRzlVEbDIporw2uw1bc4gb1CaBXC8lDcTI23bGvl78O1rqUeK5oDx1JmnjlY/7N1n9e56LxgHmu/HdkcCL93NeHjnYLHXUszd0RDS3ojhp71B/19CytTESt1QymETeBAIBC4AIJi8BKMgqyPE65GBIHmy2NSU3q3dNxrH4h9y1XDk47jSafcz68x+JPTe23LQkXTKuDv36ig1NnCpicNnOC3aRcqZqJ4OM7oXrpZ8yLfvbYdbkcq1nveitK13rKyUNH8ysLB1zip+f1FbB9TiebtTPisq7k24d6uRpobdcPfbBV8dz46ZIEfERoCA4FAIBC4nJTA16YirtcMWQyP2pa+E2IcohSN5GCWERH6VriTRH57UmA+M+HA/TmYNJuOWK4ZHrZK+s6x3rV8PLBs58LNumGj5/bbpxcqGqOEXikU4jdbH3ccyylsF45cwGhF1RimUoWtetFtN3dsDkr6hbeK51a437ZkkRcZlRJ2c5/fuNZzKMXQ8gyx8Vmjmz3IIsdKI2LghG6puFWPfCEN/vE4ET5uFuwMv08W+czM2USjEuhYYS8XMuM3MXtWUMOCn27pmE0Vy5mv47maGWYTTTN3NPuOnhXWOyU36zH/8dtVrtUO7rv35xLyWceTvs/EHB3C/91rFbql437HkbQtv70UU4qPIXjctezksJxpvjOfsFQ9iHOKkLAJHAgEAhdAmChegvEg60nDBgSB5stmUlP6es9iYH8DcZRVc7flLdxvNQxGgQh0CscnzZI/vFnZ3248bevwpIFzxEniIRwJRa9HLGaG9Z7l55sFPSvE2jc1ovz3rsXmma9/ns3vX6sJ4Njsu4mibC1S/N7VhNzBRt+GhsBAIBAIBF4TRlFE1UjzO0sVlMAP1nO6pWJQChq/AVeIfz2fin32YbsQ6pHiVl2HA/fnYNJsOmIp0/xkw9IpHFOJ4VHbYi2kRjOdwF7hSLSiNSyFiWLoWyiswoljr7RcrRoqRtMthalUMRMrOtaLz+tdy0bXst53iAjWQTcXykT4qHCUAg0De9pvbealz2ScijWNWGOdo5M79nJhsy/cbkTMp8LVqmE2NT4Lsu9YzAwPO5ZYexG1U8JGz5EayEUwGq7XzFCIFNq5w6KYy2AhjelZL4KPXEWVoXPpambInbDWdfzhzcohUXJEPYJ36jKxIf3d3LHeLdkd5qjOpIb3ZmOWMkM24WA9bAIHAoHAxRAmipdkPMvvtK26wKtnUlP6WsdRG7MtK6W4WvWi4tOeY+B8mHasFe9MxzRifUjcm0o0t4bD9909L05+sWcR/KbjSQPnOKeJh0fvpRu1iCcdy/WaoT9s6d7PwZzAeTa/K+WHvKUblVNF2dAQGAgEAoHA68OhKCKl+DtXUtqlsNGzfLxT0swdNQP1WIOCemJol8KVqsaPWIr3ZsKB+1mZNJseQny7NiLsFQ6jBTA0hr9nt7DkAso6UqNJtZBFipr4jMSbjZhEK+63CjZ7lnau+MZszGe7BZ+3/Lw6HUMrx0f1aF9eGANaoDmAnoNICY3EW7AjDQPr6BZCJVLMRBqlhHqsMPhMxqtVRT0xvDuXcKcRsdG3DArH3zYLfryRU438ZmQWaaZjL/i5oZ27ZxX1SDGXat5qGEpR7OSCVl5oNMOCxXYJVhxXa/qF3ktNJZrfu1YJ0VuBQCBwyQl/874kL5PlFzh/JjWll8dY7WuRYq6i+a2ldP+/iQibA3fo358p0jmSHfm0W/LuzNmGpZPEw0n30nbumEv0fpv2pNPdEa8iiP40K3hoCAwEAoFA4PXiaBRRNdJ8Y8bnHb49HXN3t+Bex2Gd+EPYqmYuM2z1HVdSw69dScKB+3MwaTYdsd6zLGWaKSus9xwDK1TwreiOYV5ibDAJPO6U1GIhNQYnQkUrcvFxRAqoGENzYKlEinbu+KJlaUSwOfDbsQMroISaVixV4H5H6Bbe2j9yFk3HkBovEk4hw4Z2hXGCFUWrEOYShbXevu1EWMr8bDqTaDYdvDebsNryz8uKL79p5ULPesFxJtVYB4JQjTULmWHg4FevJKz3vKV9tDBwo26YT2OffXrKAsBxhOitQCAQuPyEv3nPiSDQXA4mNaVHyjf9RUdmESt+4BvnqIVjUnZkt3Ss9xxrHcvACT/fzNnJLb96pTIxb3Gcs4iH4/eSCNRi9czjnESwnwQCgUAgEDiNSVFEIzfGvbblZiPm9pR3eMRaoYxv4v6d5YQ/uF5hKjl98yxwwKTZdMRax1FPDDMKZlPhl82CQrxd2yiYThWN2NAqHKiIWClWGhG586U1W30hMYrdXHhnJqJ0vkTxZ5sFRsOjjtAuhb6FivG2/KlhKY0bip9TsXfKxMpvKEZaEHE87vrHOBV5AbMeG1q5YyY2aCXDJuuDrPFIQaTh/dmYf/2oz04uzCaK+dQwf7ADgBOhlTty61u/Y61wePH0TkNzp3H47elG377UFmOI3goEAoHLTxAmA28Uk5rSl2uaR+1nbTTtEm7UDw/X4xaOo9mRIsJq23KvVWKUoh6Nti4Vv9i29MsBX5uJWambY091n1c8fJOb30c28Lt7lkKEWCnuTBluTcjgDAQCgUAgcH5MiiK6XY+YTTWf75Wsdx1fn4l5qxHx1lRwAL0MJ81y466eivGlMruF8PbU4XmulY82JP3hdqIVGsXvX4v5OwspP9rIqRjYGcB2v+Rex1KLFM75gpuK8YfchfhixUggMdAtoXD+ILzUPlsU5bzNG2gVUDrQCpxY5iqKzYG3YI+arA+ei39c35yN+Ue3U/7v+32e9n3hTc0oUNCx0CuFxcwQabiSGdrFs/P4iPPaYnxV0Vthlg0EAoHz4fVRMQKBMzDJrrGUGe63LZaDApyj9hN4dvg5mh252ras7pXMpQo9JjwuVSP6rRKHsLrnm7ePnvaOeF7x8E20n5zFHv/eTLRfPhQIBAKBQOB8OSmK6O9frwQh8hw5bpbrlo6tnuN+24KAVkJiICqhdI5Ij8+ofoPS91Z7QdMC35hJqBpFhPDTDf899nJHPfLFOpt9b6FONAxKhwU+ajqs81/TAQPrreADe/CY67EiiwCEUvznNnPIuiW3GzG/f73yjNA6mnGVUvzdG1VapaJTOD7bLdkcWBRe0PyNK17oftqzfLFXohQsZc8Kgue5xXje0Vthlg0EAoHz5fKrGIHAczDJrlGNNLfr3toyk2qUPGs/mTT8jIeVd0vH/dazoiTAbKJ5ohVbfcf7s4b7rZKlTD9j634R8fBNtJ9MsseDtxAtVAxWhA+aXuA9j4bxQCAQCAQCkznPKKKwPTaZo7Ochn0HjkVw4qgZxW4hTCWGgVg+3bV8bUqIjRf/jIK+E+ZTQyk+j/K78xELFcNqqyB3cKOm+ZutEkFhtBfjjBbyXGjl3mYda78BKQKCL8MZxR1pfN5kbsEaIYo0aQRlIVQNOAd7hWKzb/l0p6RVk/159+iMO5VovjFt+P/WLAuZZq7ihbvlmtn/PTdrvrlbK+iUQqzllReIntf9HmbZQCAQOF+CMBl445hoT6oZCid8slMiwLszMbdrmsLJscPPeFj5es+h1bOiJHjrzXLV8MVeiQybt9d7jjuNw9uY4+Lh8wzvb1Lz+1F7/CSMUixmmo92Sm5+xd/MBAKBQCBwmZg0v6w0DL3Sca/twvbYMYzPco86Jdt9x0JFkxrD3245BLhej1jODG85zV9tFHzecsymMJsoqhE86Qq1SOj3he/OR/z2Yspm3/Ljpzm5E7ZH5Y0KKkbolA4r3qqdGL8VmTv/cd8m41u5LX6mjJR/Y2gFdnKoOgfif49zYAwsp7DdK/lkR/G3Tf+l3p2JuFaN+PXFhKlE728TrrYsiYZWIcQKIqN42Cq5uyfMpJprVcMf3axwo2Z40LGvTYFomGUDgUDg/AnCZOCN4zi7xmIW8f5sgkJ42he2ciHRHDv8jIeVr3UsJy06Xqlo+qVhN3c4JzxqCyt1QynwpGt52rOkGj7C8eePB/StsFzVLFejU4f3N6n5/ag9/jjMUOB90C7DSXMgEAgEAhfMSdbV7z/us9qyfHveZ1KO5pewPXbAaJabSTX/52clWeQbriOteH82olPCYuaN2pHW/NZiwoOOb9h+0CrZyb3N+1tzhvdnU+ZSzWq75EdPc3Zy5zcpnaURQ7dUGO03LcU5Yu23IQvx/8jQwo14YVHj/72Qg3ZupfxmpRt7DpmBXBSDHJYczFc07dzxo42cb0wJv3Yl2b9PPmiWLFYNV2vRsDTSstZ1oCDVCuvgdiPavx+mU/PaFIhellk2bCgHAoE3iSBMXhLCi8v5cxa7xui6f//R4JnrPh5WXp6S8dgphe8uxCxmhrVuyac7lo2+Zb3rGFhhqaZZziIetEvWe/4E+YuWYAVW6hGxVqcO729C8/u4Pf40ZhLN3Zbl/df4+QYCgUAg8CZwnHW1sI7dQrjVMNxvWbRSz+Rsh+2xA5oDx8pUdDifUYTVdsm9tkUD9VgPSxY1SQTfnk9Itd98fNJzNHMv9K33HIUT5lONUd6dUzrFrbqhVcB6r6BV+PKZjoXSR1l6QVJ5gRL8m8EcGP1UtR4KlgpiA5kGoyHWmoqGQhRbA0cj0VyrR7wXKzpW+MlmQacUHnTsofvkoG374ClbEe63Le/OuNfufrjoWTbkWwYCgTeRIExeMOHF5WI4y3W/VdOUTrBDS/cog+coFn+ivJgZn5lTj5mvRNxpGKwcDPHd0vGgbWnEit3csdl3fNwsWM4031lI9zN33uThfdwefxqRgtzJK35EgUAgEAgETuIk6+p6z2LwLpO5lGNztoMTwjNR1FKKlYY/3B5tFhbWsdV39Kzj965XWM4iIoRGq+RnmzkP2pZ3piOsc4jStJ1QWMVCplhIDbFxrPcUpROySGEROoWfVxPl27cFnztZ+kXG/e1JM/x44SCLoBZrFP6AfOCExVSzXDO8PxYhNHCCIPybtQFLVXPh24SvkoueZUO+ZSAQeBMJwuQFE15cLoazXPfVtiPV8LTnWKxqHnccM0d+BBbYGThWGmZ/CN/JHder5pkhfq1r2ew5utahgcwoKhVNs3B8sVdwv6W41YhYqZvXdlg7jXF7/GmUAokOYnwgEAgEAhfJSdbVtY6jNoyT0cfkbI8IToiTRa3xzcK7rZJSChaU5mYtpls6HvYsmz0ht4J1jo+aBSJwvQZXMs10qtnNBaUUc4mmEWtauSMysBApdgdCIQf2bK0gBkT5XElvIx8Kk84X4SQacisI4HJHYUHj880hx6CYyzSNSLHRc+wMHNPpm+2MuchZNuRbBgKBN5UgTF4gb+qLy6u0pZ/H136e677Rs9yuG365K+zklmpkiLXfnmwXDgesNAxXKpq7rYLHbct27ljKNJFWNOKY6nDN8m83C/YKx0xyuEQnVgonMJMqVve8CH2jZl56WLuM8QDj9vjT2Mkd35gOf0UFAoFAIHCRnGRdPRp1U49gvWufsXPD5XBCXPRsdBZRq1s67rdKphNNboXVVsG9lsUo9kXgW42YvhUedx0KxXJmGDhoDgqceJF4OtH0SkPhHGlkSKOSivgtyL7d779BrN+QtAwmr1R4AAAgAElEQVQbu/GCmuDt3j0naKBTCLlAp4SZOU3NKByKzZ5lTYR6pJlJ/b+/M316IeNluB9ehIucZS9LvmUgEAicN5fmXb9S6gbw3wP/EJgHngD/F/DfiUjzIh/bq+JNe3F5lbb08/zaz3PdjVbUY8U/WcmYiuEH6wX1GBKjuVk3LGaapz3HjzcKFELu4P3ZmEdtSw/hR09zbjUiFiuKtb7lSvpss3dmNFt9x3Jm9m1QixXlmxNfgMscD3CrHvHxTok9JbPTiuAEbp7UOBQIBAKBwJfMV3FePWnLzzp41LHsDhwWQQskkaZbumfs3BfphLgss9FZRK31nkMrRbcUNMJqyzKTaka/wwGxViRaUabC/U5JLYZKpGgXjnstoRYpRAmJFkRpljLNVs9buiOliLSiFkHXCtt92S/AifRBaTfA5sBvTcqwOCdSMAC2+4565IiNopU7cue4Wzpu1BQ3ameb3V5XZ8xFzrIXnW8ZCAQCr4pL8a5fKfU28G+AReCfAR8DvwH8l8A/VEr9uyKydYEP8ZXwur+4HD11XutYelb45mxEPT4YuM7Dln6elvcXu+4J/3ilytemCz7aKdHKf+xhu+DzPUusFYLi7WlvxX7UscwmGhFhda/kYWeYTzlhgNHDwHL/ay9CP+46FrPTT2IncZnjAaYSzXsz0cTHN8KK8LTneH/2cm4IX/S2RSAQCAQuhq/qvDpxy29Y2LLRt8NWaI1GUThhJ3f7B7MrdbMv9F2kE+KyzEZnEbXWOpYsgu2BoPA27fGJ0OCdNkbBVKxY7wt/9TTn7amIxYoh0Y7tgaVfKnZLKErLE3wG5MBCT4TUCLu535yEA0GyHAqQo2kmdz5rUgEVc/B56z3LZt/xtamIaqywTnG1ptjsOXbzkm/MFqzUo/25d7+Zu+Moh0J3GsFvLaav5kK/Qi5ylr3ofMtAIBB4VVwKYRL4X/BD3n8hIv/T6D8qpf5H4L8C/gfgP7+gx/bKeF1fXCadOudW2OhbIgU/2Sy4XXeHBhJ4cVv6eVveX/S6K6V4fy7hZj3ifrvko+GQO5tqrtWiQ2HvB2U5Pgz+rzZyFiuadultTuP44fKwDeqLvZLfXHz+wfh1iAf45jAsfVzgjZQfhndyn1v0/my0/3mXhcuybREIBAKBC+MrOa9O2vJbbZestiy3G4b+rs81VPiZ6WZNM5McxNPcaUQX6oSYNBsdFcqsE7QSfrg+4HtXCqZi/UoOHSeJWkcfyyfNgkaiWKgYUqM4ekw9l2k2e5ZapNkpHKVTLFU1nVJIIphN9bBoUdjoFrQK0Mrnobdy4UHXsdMHp7zYqPGt3Nb5rUnNgTApeIt3og6yKSsGHIpBKWwPHFYUO7lQouiU0FA+/xJgpR75xvExK7pRXsB+3LH8crekHqvXbna6qFk2ZLUHAoE3lQsXJoenz/8AWAX+5yMf/m+B/wz4T5VS/7WIdL7kh/dKeV1fXCadOj/sCLH2g6gFVlv+CHalcfgF+UVs6edteX/Z6z6VaL41/PqRVhPtOMs1zaO238zUSiGiUErhxO1n/4zo2SPbkQoKJy80vL8O8QBHBd7VliV3QqIV35iOuNWIaMSXb/PwsmxbBAKBQODL56s8rx7d8uuWjnvtA3vxcmZY61qqkcIBs6lBj7V0L1QU7YILc0Icmo2Gm577Qlmk2Og7HncchQjWwb1WwW8upi986Hias2IkVn3YLHjStWz3HYmGSqQpS3AIGsUXeyU36uYZl89solnvWfrOC4O1SHO9ZuiUwpVM0+y74eajcK0e8RtVzS/3LM38/2fvzmMj37LDvn/Pvb/frxZWceuF7L37vdfzlh5pJHk0kka25NHIkqEEimHEMQIohoXYhpEANgIkzh8BHDhB/nA2ODKC2EFsOIntxBGkyAgS20+2NNZiS7I2a2Zev1G/pV+vZG9cqljb73fvzR+3ik2ySTbJLrKKzfMBGv0eq1i8rKquOnXuPefAUtfTc/1p3AE6MWzB9XtP9gK4/inKso1f7/i4iZ5ITFI6hKw/zfte05FXDafLlloihBBAAp80Cho9Tzv3LHbC5lL0EFjthX4saA8tdjrMCpdRxbIbNwliQtuzsObWT6HOT1jmKvHnfrickwr87Kcv/u673TeAVgYppY7cyBOTwFf6f78fQtjUVS+E0BCRXyUGgt8L/LOjXtxhOo6DQHY6kbew5tZPAlpgumT4rOk4W7Ev9Bjab1n6sEveh3W/77auuYrlTtPhiPfHRBKH5cxVLQtrjnoak5OeuAM93b8dBzzteK7W7IHe/I9Te4BBgvfzY9SeYCfH4SSqUkqpQ3Vi49Wtp/wW2w4L64mm+YrFh8Anq46z5Tj8LxBP1a0Vjt9fLvgjF8sjq4TYGBsNTnoOEmULbcdiO06SNkDuPDeXCi7W0vWTnntNnO2nsuLGbMZa7rnTdJSTWJrtAlysJ5yuGJ50Ah2f87jtSYxjfsMGdtnGYTc3l3J6XjhVlXjKUeBcxXKuYmk5z28/zrk0YfEI56qCiKfrPGtFoFfEUvDMQNfHE5LdIsah0r+tzPb7Tebx5GTHx5OTzsSS8Ly/5pIRQvDcaULVQmqFqdTw8WrBw5bn+8+VMCFQBGgWMTF5dfJ5mf8wYqdmAd941uPTVUfPexZbjo6D+aplvmoPrcLlqGPZy7WEm0s5H6/m3G06rAi1JMagLsDdRsFvPYqfP6pW+IHzJSZTs/6731zK42Pu+o/Txufocs4/vdshAFfqlunS4d1vSim11egzXfB2/+/f3+HyW8RA73PsI9C7devWUK5zmPIC7i0Z2kkMAHbiAzwt4FrHc2vEnYtuNYVHbaHYEls+WhZqVja1UGw4+HozcLGyuQQ9BFgqhFs99+Ltb/OY3H1smUnCdu0ZX7DbbQ8M635/2brKbeGTrjCVgO3Cwy7MOyj14GEjthZ3CGfTwHIBrX4JTc0EriSeW7cWX/4L73NNG+3lvhr1v5FxsdPzfjvPcviVlcD12vBbL+jjMV708Rgvr+Pjcf369VEvQT039Hj1oM/ZUTzX0wC1NeHri8LNhmE6gW7/BF3bB3wQbqSBzMHth8JSAWuFUDGB5QQ+5xy9xfBCO5ujMIiNOh6+3jSUBBYKeNoVFnpC2UDNBiZsPBVYePjdzxq4uqdiYzz4C4vQm/EvrH/jY3GrKXzUMpxOA07g0ZZ1+AD/7KHwWdVzrhz49SXDuY2xqANW4onFJw1DqwOJFW41wVUCG3N2FuisCWuF0HQBb2PCb6EfTz7pQbcHS1aoWSiFGJ+8lcEMcKtlCAF6Lp6cTIndl/LwfK1rvVgVIv2ekwnxRKXvxTUnxPLvxTXHWhKo2/g8cXmgGQK9juFxEbhIg8TEROiZDE5ngWwFHqw8/30OGjuFAB+tCR+3BLt0l7qFhY5wtyukEriHcL4UmE0DT3PhSS/2zPynXvhC3fO9sy8+puPu6SPDb6xYLpYDXmDjxK3HPXjUFVpOeLfmaT7yNDdcfrcl3FwzvDPhuVwNm56j99rC3U58MrqVFz+/bXz+7vY4vY7vxceVPhbj43V/LIYRr47DS/FU/++VHS4ffH36CNZypGoJvFkJ60HMdkkyH+BJLrxVHY83znsdQ92++GZk+8HpxiVWDTzpyQtvbHstox4Y9GzZa+n1y643rPt9sK7Cw9OecL8jLBexv85EEphK4lqe9AABHwQfArMpGAKrDhICJRubi89ngZk00ApwrnywpNaw76vdNAt42BHudeJObCJwsRyD7XF4rg7TTs/77dQt3O8Yrtd2TvgqpZQ6dk5svAoxaXW9FjhXDjzqGHo+0PQx/pvP4HTmKRm43xGQmHy6WI4JtBUHt9vCx23hzUrgrYm4gXpUccQgNnrSFZZ60HYGK4FeiCcAE4GGE1aLmKCsWjASeNqPYY3E3+NhR3ZMyDQL+LgtO8aVEJN5p9PAx22h5eJtbnfdioXzpcCTXuzhLhKH2JzZcGAztgWCdyc8mYWFrlBPhJ4PzGeBjhNWRXAeHuQxgfi4EK5VAqmJP3vQPzL0/1QtUMSp2yH+JwQoCxgLUwks5/0LJQ7OKYhXtMREIBI4nUHFxN6YVuL08O+a3nTI+AUHjZ0+WpNN8XzbwcNcmE1BiL//11cFEcOZkqdshIqBKvA7DWHNGd6rP39Ojput/0aKAIsduFbxLLl4UrbaT/q2HNzrxET7lYqPmwYuPp/o//fDnnCxHFjIhTMubLrsQU+YSWOy90FXOJU9vxw2P39fx1hfKTVar+1Lym5Z20HGehxOIrzVL/vYrXnyV8fo2PzXkxanS+aFtfSmCu41HdPZ868HYKXnuXCuvOm6jzuO75pKuL6hJGa3x6R7qrfn0uvtbns7w7jfO7M9vvagw3LX88x5VrNAqQR1K/RcoBFgKhWmUxMTkjOw5uB02XB9wjJXsVQ2lLkPJvh9vmZJU+HDA/R2GdZ9tdvjsdJ1fO1Bh197lhMITJZib6NTZUPXw8eB167UY6fn/XZCCDzpeq5fqw7t54/Ta5bSx2Pc6OOhjqv9PmfH5bl+r9JmIhXSLVm1TxsFrdWCN2ZkvZd2EaDqAt82V1qPc3rTCSLw0VJBUoa3NsRgKz0/9DhiEBstPugiFc/5LK7vdqNg1sh6cjCEwFLXM1e3XJ7J6Hq4MBenRp/1gVYRuH6lArz4WHzjWY+L5b3FX+WOY2HN8c659IX7cOB8CEwt5/zigy7VBAojnJ5JcRvKoa+XPJdqBmMN8z3Pd5/JYvukEPj6h01auaOSGqZM/N3W1jxFanjacUxWAkvdQFliKTdAMGATEAdJgCBQz2I8nxmhlAqJ93T7uUMvMJlAlsRenW0Hq0VgqpoyOWkpm4IKwqI1zMxPvNDaaaODxE6rPc+/vtfhdP4QI3Dh4kU+beScyZ6X7j9sFaTGgwTOzWSU7fP7u9rznJkwNBNLPpOMVX/wQVuArf9Gbq3m+JUCSQzvVgyZhcV2oPCBouO5VglcriWUrLDc8yQ1y4V+v/9PGwWns/hZ7cXLNt9vpV7A1iwX6i+mCsodR7bN54dxeX1S+liME30s9m4cEpODHeapHS4ffH35CNZy5I7bIJCdBsfMVQx3GsWmwS4uxOEwGx1kKuPWpus72c9tD+N+bxee2w1HZqGZB6bS54F4ZmL/yGbuKSeerhP+nTfK1DK7ngxNTGwSPkiGOh8oGfisUbzY92WPvV0O474aGARJ79/t8KDlOD9hY6+hAPfXPHebjsv1hEsT5lgMgdlPU/TjOqhKKaXU0JzoeHWj7Xp1twrPnUbBbEk2Dfhr5p5LtXi9rgu0Csd/93stch9ITYx1TpUsVyYT5irmUIbJXa4l/M6TnAdtx1zFPI9TCWRbYqWSjb0Ucx/INxzySyROHN/JoI/l1gnbcSCJYW5Dz/XpzPDbj3t8fnbn/jAiwjszGR7h9552aeaelTzeZxdrccDJYjve56GIE7cHt3+7WXC/6ZguCVk/EddxUEvjgMrMCl0X8L5fmu1jEtIQ45x2gBywIfaYFBHKRuh6yPu9JRNiD8rUSpwcLnGgTi2R2IPUgnPCbCX2z1xse67Vd46rDxI7DYYabfy2z1YdbRf4dLXH047j3pqnngqJEVKTc30qXU9O1lLDYjvwpbPj1x98p4GLT9uBc9UEQ+Bhy3N1MuH75mIs/y8XupTt889etdTE69Tj926cB/DiZZ6JDZ97agksthzXtklMjrpHvVLq9TQOiclv9f/+3A6XD9LLO/X0eS0cl0EgOw2OqSaGy/WE26sFs6WYnNwYjMLzE4H7ncq4ten6dgm3V7ntg9zvqz3PnTXP9SnLLz3scba8ORCHGOBVE+F2w/OD5zLutgI/MpvsmAxdyz23m56z1YNPfT7M++qDpZzffNyjUXgu15P1pveJwHQWy4purxZAwuWaHbsgb2A/zekHCeDjOKhKKaXUUGm82rfdJuhnjYInHc/DtYAjYBGmyyb2FSwbbjdybq8WLLZcHJJTEWYzS6fw3C48z7qOU2XD5XrK1Zod6jC5ycwwmcakmuf50B6LrJdEhxBoF4HZsqVkhKcdz8yG9/yXJc563rPU9Nxp+jjtOzXrA0nuNx13mo4rNcvVWkIisVx2Lxue704npAY+Wil4ZybdVOFjJZ4w/fxswtV+xmkwMX22LOuJ1RACPRfIbDwlmoqw0gu4fil7buImsyOW7FcTWCvifbXcg3oayCWWSveIPSe9xMGOQvyTB6ikwkRi8N7zYM0xV7FYhHIqOya5Bg4SOw2SwY+IpzpvN3K+8axLoxdY7nnahccHISBYAzeX4u88V7XMVyxWoPDxOWwE7jaLsdhQ323gYtH/Nyc8n3o/VzFUE7N+2cDg99v6vS+7bHB5vkMi/mVJeqWUOohx+PT8i/2/f0REzMZJhyJSB74faAG/NorFqc12O5F3tZ+EvNMogEARAmfKhtyH9fLoGzPJgaYyDr5nt9Lrg972QQx2aSuJ4Ww5Tj80zlOxMbjxAdou4IGzZUMl2Rz0bE2GrvY879/rDGXq82HcV4MgKRBPFm6XnjOyOUgapyBvo512oXdLAB/mSVSllFLHgsarfRs3Qc+Uhbtrnl9Z6FKyQi0RDEJB3KyczIT377Z53A70vGeh5bEm0C4sjSLQ6MV48UHhuVw3dPplwtfqyVDjCBHhC6cs31pxTKSGioVaJix3fZw8DcyUDbOZwQd40Pa8s+HnvixxttiK071PV+ymGCmRuAHqgNuN+MtdmEi4MGFY6fmXbniKCNMlwx+7Wqaamk2b2t9xKuX6VMLtRpzCbGF9Yno1sdxp5jxrO1bygDXCVBordYyJ/dGNiaclixC/t/D9KdzhefKWfgJ0zUHhYul2ycJSN35vOYWJVChbWY+PRISeixPA7zYDs2VD2/WYq9r1JNpGB42d8v6JVOgPbun2WGh5uj6eDu15Q0K87SIPdIhrWliL33+mbNdPF47TKcDBZ4zt4s2kn+xOJMbdRp6fRt14GbxYubbx8t0uG3xvaqR/AtizsObWTwCfrhhqY1TNp5R6PYz803MI4WMReZ84yfA/BP76hov/CjAB/M0Qwtoo1jdO9lN6elh2O5EnIlyrJ5wuCzeXCqo2NvcuQnjlsvRxK3kf7NLeWi54Y9JSBMtS1/GsG3AOrIEzFcNsyWKNsNAOfLG2c9CzWxCy0V52dQ/jvhqs71ErbCr12GpjkHRxwo5NkDew2y70wHYJ4MM8iaqUUmr8aby62WBz8+fvdbi35shMHL4SENZc3ASdzIRWHri5XHCuYvu9DGMycrFV0HMxaZWJoWQDd5qenito5J65sgw1WVQE+OLZEr3QwwVY6Xos8VThmYphKjXP+z0GT+EDc5X4Xv6yxNlqLybDUrP9xi3ERN90yfBZ02EF/sCZEnfX3J43PN+ZyfpVPpsvDyEwkTzvmX53taBZBJqFo1MEWrkntcJkNhjCKKz2+oNeQhy+mMjzk5tdHxOT5X4Cstsv806BUhrvq5mSwTdcTERbIbWCEPte5i6wVsTTlc96gSsThpKBzMC9puNOo+ByPeFqzSIirxQ7DdrstB18symEsiex8dSnFQPE06sighPoOri35nh32rDYchjgrX6yeZxOAQ4+Y2xnfsJwv/n88o0l1/MTtt/vP153a+XaxstfvGzz7TbzgBj4jUc9rAi1hPUTwLdWcubKlm8+671W/eSVUqM18sRk338A/Avgp0Tkq8BN4HuArxBLYv6zEa5t5A5SenqY9nIi749eKh/Kesal5H2wSzsofUiMcK6acG6bnt2BWC6xW9CzWxCy1V4D9WHeV4P1bS312M4gSLpas2MT5A28SgJ43E7tKqWUOnIar/aJCJdqCbNlw3RJ+OUHsdVLZgxnK5aeCzzresTEBOOjjmPCxhORhQ9UEkPXB9byQD2Lp+3KCQQRnnQ8v/O0x5fnykOLI1KJ/RYHJwznZ1IssNB2LLQctp+U9CGwkof1npB7SZzdaRbMVSyf5AU+hBda+wxYgBB41PL8m1dSaqm88obn1s3o9++2We15pjODqwaWeoL3AReE1MBMSbi3Fvtn+hAThtUEkJiErFoomZi17Lr4/+XE8PmZhPttz3QCaWL5rlOG+y1PyQrtIqyXxCNQSuJk6OU8JlSbuSceLw7UUuHT1ZzCB6ZL5pVip0GbnfsdYbknTFdgIjE86zqKwrNWOAhgjCAC9URoFbDSC1SSOADmbH/s9Dj1B994EnSruYrlTvP5CdmNJdcb+/0Hib3uz24Yqz24PA9sc9nz25UQWOh46olwrmo2PZ+l36bg7ZnkWPSTV0odH2ORmOzvQn8R+C+APwr8GPAQ+B+AvxJCWBrl+kbtIKWnh2ncTi+OwmCXdmvpw3YG5RK7BT27BSFbjWJXd7C+vfy+gyBpnIK8gVdJAOvzXimlTjaNVze70yyop3FgjRHTP40ldFzgw5WcWhoTIWUrPGlD0k92GRNLfxMRFjoFq7lBEJB4wu+NesLN5YLPz/qhxRGDJNagF+NnzXhi7nTJEELgQcuT99/TJ1PDezMJjztuT4mzT1cd81VL0e+1Pei1vpUPMSGYWWEyM0Pd8JzMDJdrCbMlyzvTKZkRvv6sR9s5amWJpyeLmDS1AKbfKxJIE8H5QD2BWmbJfVhPWk5nwqmK5SfervEPPmrFEmkXmMxikrnjA1MloWRiEnex5bAS6HiYTA1nK4ZSItyYSWnk/VJ+iT0z/9jVMu/OZgeOnQZtdj5ZM5RtoNH1uBDIHXScJ+3flxICuRfaEsgMLLRyLtcyMmG9rHyc+oPvNnCxmhiu1Cy3G47pkiGEmGD+tJGzsOZ50nZ8a8kzWRK+cCrbVDZfTQwXa5bfe5rzhVPJC5ddqVk+WS3ouoCEwLmq3fQ8dsByNw5aqqWWShLGtp+8Uur4GY9XYCCEcBf4yVGvYxR2K9EGDlR6ehTG5fTiKAwC3K1lE9sZlEvsFvSM+9Tnwfq2lnpsZ9CXZpyCvIFhJIBP8vNeKaVOupMcr261cbNv42mtpZ7HEocAOgIZsj6oJTMxOelM4Fk30HGBjjgyY4DACoFUwBrh45WcH75YGcpa13tFA1frKWcrNk7PbnkqieFaXfrv+9AsAvXM7nnTcRBbbOy1boR++WuMi5pFTEy+MZlQS5/3YhzmhuedZsF81bCWB7Is9vqcqxhWck9q4WxqMQKNnme5F7A29oycq5h4uhWhnsZEbdcFapkh9zHuqSaG61NxsOGpzLBWwNszKXeaDgg0e4GV3BECTGWWno+x8nIvcLVuOV2Of671p0A/7sRen6+yoTtos/O3e3A2E57mnp6LlWWZCzQLT9sFTIBKImQG2kV8/n3vnKHc32Uft/7gLxu4uJ5cbxR81izIRDAEyonhTDlWN3Vc4KOVWGn3Vj2hIMblE4nwg+cyej4+BhuT4ROJMJUaFgpHJYH4jOg/f/unXq/W7frPH7ehQUqp4208XoFPqL2UaKcS+kf1X733oBqeQYB7uizcaQxKWLYpwyHuRp8uxyBup6Bn3Kc+D9a3tYRkO80Czk+YsQryBsY9AayUUkodF4OEXByQ4VjueG4uOVa6jlOVhNTE6dyeGKe2Ckc9M7QLz2ovxk4gOALpYDJ0MPEyPN94lvOT79SHstatvaKrieFa3awnymBz6fR+Yun12MLEXutzFcNi27PYcuQ+kBrhYi0OfokDRTZveg5rw/PTVccbkwm/+zTHEe/P0yXDVGZo5IFGz8f72gr1NE6oPl1O6Lp4ytCKp+vipPKSNaQC1RROlWLy8J2ZjG88K/AEnBfm+6XAC23H6UqsqJktxQRssxOYyuymRNZGw+of+t5MynQaaOTCigvUU4B4IhcMwXm6IWDEEzDUU6EXoJ4Z4NV6XB6Wlw5cFOFqPaWVez5ehYv12FjTBbg0mfLFuRIAD1uOby0XNHuBN6bSTcnuwaGYTcnw6ZQ/cqnCP/qsTaPwPO2E2IrKCJdqlrmKpbJlcNE4DQ1SSh1v45U1OGH2UqL9j+92+NyU5fQeNoz1zeHobAxwL9YsdxruhdKdQcnD5ZqhkbNr0DPuU58H6ytZ2VRCsjU56UOgCB7B8u70+AR5A+OeAFZKKaWOi0Tgo9WcB2uxPPdS3VJO4V89cjxuO5a6cQhKXoAhxIRQKjR70CnicBXTb3Uj/Z54tUQQAt7DUte/dA37cVi9orfGFs+Tni/GEI877tBiizwETmfPS31FBn0khVMlWU8w5g4et+M07Sv1hKWuo1l4cheTqxOpMFOy1FKh654PPTxdtnzbbMJvP82Z7d/WfMUynRmWep67TUfhA80CvvNUwlcvlF5IZA0Mqy2RiPD2ROBbTTiTWVZ6vj+xOh74mK8Y2g4aeTz/54KnBtxtFFyfTnnS8WPXH3wvAxebuePWquMHz5d5c3L7tb85abhaT3jS8fzAudKmmHy3ZHhihevVlM9NvXxzfpyGBimljjf91D0ie50OPJEI99ccFyb8pl4g29E3h6M1CGI+WMqZKglPu55UhHIitAtPHmC2FHfl33tJ0DPuU583ru/SRAy8B/2ZaqlZ7yt5b81xccLyxTPpWAV5A+OYAN6tlcO4JXaVUkqdDHt5bwohcHMpTlkebPedryZcqXm6LtDIA6t5iAmzstDxBu8DiFBNY4LMuwASNzaDB7HQ88LVeuzZ+OFSjy/NlYfyOx1Wr+hxiS0GJzcHJxQftx1Pep7TpVjC7QO0nScAc9VYpj1TMpwqGcpWCCFwqRZjN08s3z1dNuuJSYAvz5dYzQMLLcfdtYIzZUtmYCYz1FJBEL5/PuXL8yVEdr4vh1mV8l7d8+vLlitThoctqFjZNHwztbGUu1UEHreF81XD467nJ86WeG82Hcv+4C9Lon+2WnC5Znljm+T3RgepqNPqIqXUKGhickT2Oh24ZGIT8Udtx9X67m+c+uZwtLYGuB8sFTxsFSx1A7OZ4bJimmQAACAASURBVFzN8t50uudAd9ynPm9c30Rq+I5Thqcdx/01v74T/YfmM75yocxk9vITiaMwTgngvbRyeHd6vHbxlVJKvd72+t50ccKymkM9EyTEZOPA3ITlSdtxpmLxIXCvWYAYPjdt+M1HOYmJpcLOBtpFTEy2+xOgMxuTkhNpnCL9m4/zoSUmB4bdK3pcYouNJzev1lNqqeEXH3To9JORsSd9POH4YM0xkQrNwkMIZDZORs99oOsDHpivWsoWzlWfr9cjfNeZEt82m3BzKed3nxa0nadiDX9wPmMitVyfenncMsyqlLcmArUEeg6mS5aljqOasCk5mRjBSuBq3XB9KmWuYvmefsnzOHpZEr1wcLpiNv2OO9lvRZ1WFymlRkFfSUZkr9OB5ycsdxqBhy3P1Ze02dE3h9F4HuC+Wm/PcZ/6vN366pnl28sJ1+p25Ovbq3FJAO+llcM3lwoAtGusUkqpo7DX96aPVnJqaex1t3US9UxmWGw7BoXYiTXMVQy1RPi1kCM+0CNgTcxnTmaGijVMpDBTssxkQtMFLk5YHrTcCO6F/RuH2GLryc3TZcsXz5T6j4+sPz5tF8uu35xKIMQKmMlUKHzgaS9wpWY4VbIkVljpec72e0luTK6+PZ3x9nTGH7v2/Oev9jzv3+sc+cnRWgI3aoFHVuj5QDkR1oqAldjfM/eBov9kPFe1vDmVcGYPSbdxsFMS/VsrBckez6Lst6JuXE4AK6VOFn0lGZG9Tgeeqxg+awR6bvc3FH1zeH2M+9TncV/fy4xDAnivrRzOVgw3lwveLGLgrZRSSh2W/bw3vX+3w5fns20nUZdMHLryWdNRTeK06umS4QunM/7l4x4rndj/sF0EpkrC6bJhpmSpp0JihGbu+6f1DI3ecPtMHpZxiC22O7m59fGpJLCWB96dtiy2PPVM+O6zpfXr3W467jQK1opA3vO8OWlJjfC4416aXB3lydEvTns+SVIedTwTPU+jF2jmjmYRSCQOu/n22YTvPJOxVsAbk8c7qDrMcutxOQGslDpZjver8jG21zeUamK4MJHw+7vsXOmbg1L7N8oE615bOQx6Az3sCNdr2j9WKaXU4dnPe1Mg8LTjmcrstpOoZzLD5KzQKmKisuNi77/Pz6R8vAq5E6YnhXNVixFZ73/Y8YH5qmW+YnnScVyYOF5x7ag3b7c7uXm1ZpktCR+vFiy2PfNlw9W6JQCNHKpp/EySCFycsFiBR21H2QgTqaFVhD0nV0d1cvR8OdAuJbw1BY87noWWp/AJiRHOVc36RGkXAo3cH/uDHIddbj0OJ4CVUifL8X5VPsb284YylQnfNxcnx+mbg1LH315bOUD89/5xx3C9djzK2ZRSSh1P+3lvqiexT+Eb/YnAO02ibhWee2sFd5ueJ92YEFrrea5NJbQdPOt4XPDr/Q9nMkPJCg5YKwI/emZ8+wCOo91Obv7whfILycXBkKON1/uOUymX65UDnfAc1cnRWsL6Kb/LtYRr9df7IMdhl1s38kAAvIf77YJ/3QnMloTzE5b3ZvbeP18ppfZKE5Mjsp83lIDwlQux8fc49h5USu3PXls5QDzBkOthSaWUUodsP+9NF2qx1cjLVJNYpv29Z0vcmM1Y7Xn+9s0mK3nsXXiu8uIGvQOedRznKpZ3ddP9QPZ6cvOwTniO4uToSTrld1jl1luHX52uGOarGUWAlZ5n0FmsttcGl0optUeamByRg76hHOfefkqpaL+9gfZyPaWUUupV7Oe96VTZYsTt+8TWZGb44Ytl3r/XYanrSESopQYr4AI0c08RAvU0Xu+4n2xTR2cc+nwepcNIxO5nMOONVxz6qZRSG2licoRO0s6eUuq5/fYGulA+Hs3/lVJKHV/7eW/qefieMymP2n7fJ7ZuzKaIwG896bHU9TRzTwgBEaGWCjMly3edzjT+VQcy6j6fR2XYidj9Dma8VDv+JfFKqfGhickROmk7e0qpaL+9gc6VtZZbKaXU4drve9NXL5S5t+b2vcG+W/x7rW6PVfw76NH46aojD4FUhGuTlsv7SNoM4zbUyTWsROx+BzPebRZ6alIpNTSamBwDJ2VnTykV7beVQ/Z0BItUSil1ouz3vWmqZJkq2QNvsB/n+DcE+GhN+N27HRIDU5kh6ZfC31op+HC54N3pmJSVHRI9W/v5HeQ2lBqW/Q5m/LThuHEM/+0qpcaTJiaVUmoE9tPK4SNNTCqllDoCB2kzdJwTjAf10ZrwUcvw7XMH78Wn/fzUONnvYMae12oepdTwaGJSKaVGQFs5KKWUGjf63vRyqz3Px23hdLpzyfvLevFpPz81bvY7mDEzeopXKTU8mphUx5b25FGvg5N40kQppdR40/emnd1pFljgZXmZ3Xrx7dTPr1V4FtuehTVH0T/BVkrgw6UeX5orD/k3Ueq5/Q5mfHtK0whKqeHRVxR17GhPHqWUUkopNQqfrjrqL8/dADv34tvazy+EwO2m47NGgRWhlsSkpQuw2gv83O0OE6nR2HaP9PDC/u13+NWlmqYRlFLDo68o6tjRnjxKKaWUUmoUYi++vV13p158W/v53W46bq8WzJYEs+HricBMSQCnse0ebDy8kHtP2wWetDxdH/j1RThVNnx5vsSXzmaa4N1iv8OvNMGrlBomTUyqY0V78owH3YlWSiml1EmUirD2ir34NvbzaxWeO40Xk5IDLkBmzbGMbY86XvxgKecbz3I6znO36bECE6mhJvF+bPQcP/1Ji4VWwY9frWpycouDDL9SSqlh0MSkOlZ26smz1W59fdTBaRm9UkoppU6ya5OWX3oAs3vIq+3Ui29jP7/FtsfI9klJgGbuuVSzxyq2HUW8ODi80HGeO03PdMmwseI+nj611LLALz3sca5qtW/nFjr8Sik1KpqYVMfK1p48u9mpr486OC2jV0oppdRJdrmW4IBtKrQ32a0X38Z+fgtrjp3a9TnAA2crMcV2XGLbUcSLd5oFPee5u/ZiUnKjVISZkuFfLPZ4ZyY7NqdPj5IOv1JKHTV9JVbHyjD6+qiD2W8Z/WrPH/EKlVJKKaUO12RmeLMSeJILLmwfZw568b07vX3J8qCf36N27H9otwmrHLDc9VypWapJvI3jENuOKl78dNXRdgELOyYlByZT4UnHc7dZDOVnK6WUejV6YlIdKxt78rzMTn19huWk9VnUMnqllFJKKXhrIgCeJx1/4F58g8t+90mPpyEwXbLYfi/EZu7xwNW65eqG45SHHdsOw6jixTzEQTcTeyg1thLvx+Nw+lQppU4CTUyqY2VjT56X2amvz6s6qX0WtYxeKaWUUgpE4HotMHexfOBefIN+fj9+NfAbj7p0XKDwgcQIl2qWuYqlkmy+jcOIbQ+y0b7b94wqXkxF6PpAbQ+htwtQtuN/+lQppU4KTUyqY2VjT57ddmJ36+vzqk5qn8VYRr+3ROtxKDVSSimllHoVw+jF995Myr01x+nyzqXPMPzYdqXr+NqDDr/2KCcQmEwNFyYsp8pmx432vWzOP2gWfMepFHh5zDjMePHapOXXF2PS8WVtn5oFzFft2J8+VUqpk0ITk+pYGfTk2S4xODDo63NjZvgl1fvtm3PpNSrrHqcyeqWUUkqp18FRx7aD5OL7dzs8aDnOT1iyfgn5/TXP3abjcj3h0oR5YaN9L5vzv/nYU2sUXJ/aeXO+VXgW2457DUfLDacd0uVawqmyodFzzJR2rqzyIeBDoGSFa/WXV2AppZQ6fJqYVMfOoCfPzeXiwH19Duok91kchzJ6pZRSSqnXzVHGth8s5fzm4x6NwnO5nqwPikkEprM4bfz2agEkXK7Z9Y32wfpetjn/znTCzaWcCxPJ+tCemIj0LKwVPGw5nnY9s5mhlhquTydMpPLK7ZAmM8OX50v89CctallMdm7lQ+BZN3C5bilZOZTKKqWUUvunr8bq2Bn05LlUSw7c1+egRt1ncZQDd8ahjF4ppZRS6nVzVLHtoPInEGPI7baajQizJbjTKJirGIzAzaWch62C332SU02ERIT5CctcxawnHwfOVS0fLOUstAqu1VNuNx2fNQqsCM3c08w9M5mh7TyPOp4rdUsypHZIXzqbsdAq+KWHPWZKhslUng8UKmJi8nLdUrGy48R0pZRSR08zB+rYGkZfn/0aVZ/FcRi4M+oyeqWUUkqp19lhx7aDyp9HrbDr9GrTr/xZbDmKEPjNRz0MMFs2lExM9N1rOu40Ci7XE67W7Hr8WU0M70yn3FwqCAh3Go7ZktDzcLvpqWcWQsAH4dqk4WHLU0oc1+rJK7dDEhF+/GqVc1XLry72eNTxZEYo29hTsmSFUj8peRiVVUoppQ5GE5NK7cOo+iyOy8CdUZbRK6WUUkqpgxtU/hQvqX4BSCTwiw/aFB4CQmIAscyWLGUrW8q+4Vr9+cfKN+uWxx3HN5/llC08aAmfNnKWOh5rhIlEuDqZcr5qCSGsn86sJuaV2yGJCF+aK/POTPbC6dNrdXuolVWvm1FWaimlThZNTCq1D6PoszhOA3dGWUavlFJKKaUOblD5k4jsOL06AAttx91Gzp01z3vTCSHEU5KLbc+jtmeuYpiv2BfKvgdl3Q6hlgimbPm4kbPYctxfc1iBWmqoWOFJ21Gy9G8n3va1evz+YbRDGkVl1etiHCq1lFIniyYmldqHvfRZbBWehy3H7y8XtHPPJ6vulXYXx3HgjgZ7SimllFLHy6DyZ37CcL+5fd/0hbZjYc3hgKoViiCcqcTrPWk7KlZYbHkAzlWT52XfGxKLyz3PQsvxrONxPpZR+wDVRAhA18OTjqORe0KAs2XDYsutn7ocZjsktX/jUqmllDo59GiTUvsw6LP4qO1xYXPAFELg00bBrz3q8s1nOW9NWS7Vnk8afP9eh28+6xHC/gKtgwzcUUoppZRSaqOzFeHrz3p8tur45lLO15/FoTYdF2PTjgssthz1VFhqB2bKgg+BmcwwkxkcgAi1VFhs+/XvqyWxHyXEfuNreeBOw9FxgXpmmEgMqRECghGhYmM5d7cI/P5KQe4D+YZE5DDbIan92W+l1mrPH/EKlVKvIz0xqdQ+7dRn8aPVgg+WciYz4dtPpVytJSDyyruLoxq4o5RSSimljr9Bae6HywUP1hzzVcu1uuVBy7HYjknGuYohEAffQIw/DYbZkmGp53nW9qx0PXdXHXMTBgMsdR3nqglWIPdhfQhiQqDtAudKdv0UTD0zrPQcZRu/IiJMpLDUP115tvr8Y+mw2iGpvdnYS/KT1ZzHHc/lmiUAK91A0f8sMj9hmKvEdlaLbce3lgrurxW8UU+xTeFcWT+DKKUORl/xldqn7fosrvQ8H60UfNtswrlqQiV58YTjQftAjmrgjlJKKaWUOv4GpblX6glG4HbDcbYSJ2kvtB2EwP01T7twnCpbFtuBSiKULDzreKyBsjVcqFrKNp6q9CHQKgLzFUvXQ6sIPOl4bswkfO1+h7mKoesCaT8urafCUi/2sBxEqiJCyQY+WnV82+kSEE9c+gCXavox9bBt10uyXXhy5/nlh/EwxaWa5XzV4hHuNQt+63F8EOerhlNlQ7cITKTCh23h47aQPetp70ml1L7pK75SB7Sxz+I3nvWoJvLSoTgH6QM5ioE7arh0qqFSSimlRmFrae7VfsLvs6ajbIW3JhNWe55Hbcdnax5E+MKplE4euLXqmKuaDb2/hDNlYSoTVnqee2uej1YLJlLDd59J+aGLZeqp4e/fanGxlvDxaoEPASNCZoTZzPKs66gkZj05WZLAs15grmLWT1zemNH46Chs10tyse1p5oEzFQsh8KTtsRL7ibYdrOXxVGTbwWQKHQepEWbTOKVde08qpQ5CMxhKDcFB+kDuddLgXgbugO4wjyOdaqiUUkqpUXphiKIIV+spZyuWxbZjoeWpJoa3piwG4QunMt6YSvjVhS7VVCAE2BKjxCSjoZoaZsqGq/WEr1yoUE/7sbBA2QpzFcNiy1NL6U/wjpc/6zkEyERoFTCRCGtFoJEHbswk622T1OHZrpdkq/A86wamSxKT0SLU0pisrCaexZZjMhXon7StJbJ+IhbACAeqDlNKKc1gKDUEh9kHcjBwZ7vpeAO6wzyedKqhUkoppUZpp83zamK4Vjdcqz//2qmycHvVMZHFATXzVcvCmqOePu89OdB2gVNlw2ovMJXKpvjzfNWy1PXMr/cj9BgCFSvMZELFWp72Ao2ex4hwYcLy9lTC5XryPLmpDtULCWti38iZksRTkP0sgRHBELjTLPoT2OP1DfCw5fjOM6VNt3uQ6jCllNJXfqWGYNAHci8O0gfyvZmUGzMJTzqexx1H7gMhxAmGjztuvaeP7jCPD51qqJRSSqlRi5vne7vuhaql5wMPmo6J1DBfscxPWJpFoFnE4TYx/vQ0i1ii/d5M+kLS8otnUhq5JxBLgN+ZTjlTMfQCrBWACNcnLT90vsS7syl/+u0JbsxmmpQ8QtslrBfWPOcnLD4EfHj+waZihftNT2VDV6mSEZ5249CkrQbVYUoptVd6YlKpITjsPpDbDdzp+UBmRHeYx9R2O9Hb0Z1lpZRSSh2W/QxRzKzhas3yccNxJRUE4VzFMpPFydxLHU/PezpOuDGb8l2nMypWeNLdvLn67kzGucUeT7ueUyVD2Qrnqgnnqs+v40Pgaddzvmp5Z0bjn6O2XbVXEQJTqWFuy0lZI4Mp7dFg8NFsZqhuM/Bzv9VhSimliUmlhuCo+kBuHLijxtth9h1VSimllNqL/W6e/6FzZQJdHnccqTHUEigZOFMyVKzBh8DlesLVWpzqnfc3yjeazAw/fKHE+/e6POt5Eom3YwVcgGYBRfDU03g9bUN09LZLWCciuMDzEvyWwwhkEk/d5j7Q8wEPnKmYHePcg1SHKaVONk1MKjUE2gdSbXWYfUeVUkoppfZiv5vnl+sJPyDwe09zihCTU7kPpEa4WLPMVTafktupEujGbIaI8NtPcp51HWt5vH0jMJEKp0op33k61TZEI7Jdwnp+wnC/GTfWN56UvdcomCkbVgu4NGGYLVnaLnB+Yvtk90Gqw5RSJ5u+Yig1JIPA6uZygZF4Ci6RuGu43PP4gPaBPEH2UzqlO8tKKaWUOgwH2TwfJDPPlw3X6jt/XNytEmi3NkTX6lbbEI3YdgnruYrlTtPhAEt/snrZUDIpN2ZTvvksZzoTggjeBc5WXkxMvmp1mFLqZNJXDKWGRPtAqo0Ou++oUkoppdRe7HfzfJiVQNqGaDxt9xhXE8OVmuV2wzFdMkgIPOsGrk4mnC5bLtcDn67mALwxmbzQX9IHtDpMKXUg+klYqSHTAEzB0fUdVUoppZTazUE2z7US6PW33WN8ZcKS+8C3lgsC8M50ypUJQ+4DEwmxr2SAiST2Fx08J57l4IAf0ueEUuoA9JOwUkodAu07qpRSSqlxsp/Nc60Eev3t9BifrSTcmMkQAo86gae9QGZikvJHLlUIgReeE1crgfPlwI1ZnbCulNo/TUwqpdQh0dMGSimllDrORl0JtNrz3GkWfLrqyEMgFeHapOVyTTd1h+Ugj/HW69/q6RBHpdTBaWJSKaUOiZ42UEoppZTavxACHyzlfLBUkJhYQpz0BwveWin4cLng3emENMAuHXOUUkodA5qYVEqpQzbq0wZKKaWUUsfJB0v5tu1wUoHTZYsLgW8uFdTWhOs1Pa2nlFLHmSYmlTpBtBxGKaWUUkqNs9We5+byzj26AawIZyuGry8K58qamFRKqeNME5NKnQB7LYd5byZFtB5GKaWUUupE2bh5vZp7lrseCExnhsnMHulG9p1mgRV2TEoOWBEs8LAjfOehr0oppdRh0cSkUifAXsthAJ2mp5RSSil1QmzcvLYSWO4F7q8VCEIIgWddz4WJQOH9kW1kf7rqmNpjArRu4X5Hq36UUuo408SkUq+5/ZTD3FwuuFTTlwWllFJKqZPgXz3q8ssLPXIfWGh5nnYcl2uWU2VD2RoccH/NkxrhUs0e+kb2as/zyWpOpwg4wPlAYqDwgjWQiDA/YZirWKqJIRHItZJbKaWONc1AKPWa2085jBG42yzQM5NKKaWUUq+vEAK/8ajHT3/SZjozZAbWcsdsJjzteB53PHMVw3zFMl0yfNZ0nK3YTRvZwyzr3nhy83HHM5sJzZ7nwZonD4HMCPNVy5mycL/puNN0XKlZQogVQEoppY4vTUwq9ZrbTznMdGb4tOF4+5DXpJRSSimlRueDpZxfWegykwkzJcPDtsMaQ2qFQGC15/itx45KklOyQssFHjYLrtRTSgl8uNTjS3Ploa5n0Hboc9Mpv/O4y1oRmCoZDOBDYLHlEIFzFYsDbjcc+ZrwvTN+aOtQSil19LQhh1KvuTwEkj3uJCcCPa/1MEoppZRSr6tBm5/cBeqZBeBZ21M2gafdeBpxpRcIeO43C1a7Hu/g00bBctex2vX83O0O33zWI4RXjxu3th2qp8Jix1NNZP3Dqhl8veXouIAFJjPhYVeYTDR2VUqp40xPTCp1hDZOPMxDIBU59CmHaX/69l7KXIoAmdF6GKWUUkqp19WgzY8HbD/scwTWep6lbqCaCI0cWjmUrIAItczQKhxPOp6zVUM1kW37TR4k1t3adqiRe+ZKhrU8UEtjUhLi30ZgqeeZKxtWuoH5cmC10NhVKaWOM01MKnUENvbNSQxMZYaknzC8tVIc6pTDa5OWWysFp8v2pddd7nnenkrg6VCXoJRSSimlxsSgzU8igguxYsZ71pOSzkOjFyhZISC0ipggTMRQS4WFludKPdnUb7KeyoFj3a1thxbWPFcnE550HIttjyFQsTEpmUngXqOgZFKuTiZQBJ3KrZRSx5wmJpU6Ahv75mwcQpMKnC5bXAiHNuXwci3hw+UCF8KuA3BcCPgAl2oJi5qYVEoppZR6LcU2P3G69f1mTApaE6dbiwgt5zES/1tCIA/Q9Z6ZzGJE6DpPasKmwYnAgWPdwXoGihCYMIZz1YSZUmCp63jWDTgHRmLS87vPZlQTw71l6P94pZRSx5QmJpU6ZFv75mzHihzalMPJzPDudLJtsDjgQuBR23NjJv7sxaH9dKWUUkopNU4GbX7mKpY7TYcDCg+JBEIItIpA0g9FPSACAailggeyBAof48npzPDNpQIjHDjW3dp2aONJzrIVzlUTzlXjZYUPdD1U+wvca7sipZRS40vPvSt1yLb2zdnJ1l3nYXpvJuXGTMKTjudxx5H7GHjmPvC4E/sF3ZiJ5TVKKaWUUur1dW3SstLzVBPDlZpluesREWZLllYRcD4wiFp7PmAFZjNLYoRm7jlfsZj1JCI8bL1arDtYz8D8hGEt337SdrOAuerz9kQNBxfKOpVbKaWOM01MKnXItvbN2c10Zvi04Ya+BhHhxmzGj1ws87mphFYReNL1tIrA21MJP3qpzI3ZbOj9LZVSSiml1Hi5XEtwIVbMXK0lXK1bOt6TWJguWYoAHedpF56eiychMwvNwjNftZwpW9J+ZrII8KwbXinW3bgeiCc5HbA1IvYh4ENgrhJ/lgsBB5wr61RupZQ6zrSUW6lDtrVvzm4SiTvTh2UyM3x+NuPzs4f2I5RSSiml1Bjb2ubnaj3lD87FQY25gfmq4Uk7nkK8MGGYKVlOlQ0zmaFkheVe4GItnlpc7nlOZUKyx73t7WLdresZnOS83XBMlwyWmJR81g1cnUyoJma9DdGblUBNP9EqpdSxpi/jSh2yrX1zdlMEyIyeWlRKKaXGhYhcB/448KPAdWAOWAJ+DfhrIYRfHOHylDqQQfuem8uxP+T5Ccti21FPDafLho9WCq5NWs5XN39c3HhqcTA4cb5qXznW3bqeC1VLCIFPGo6uC5StcLWecKFqeNxx+AA3ZhJSp6cllVLquNPEpFKH7Nqk5dZKwemyfel1l3uet6f0n6VSSik1Rv5L4E8CHwD/H/AMeBv4ceDHReQvhhB+aoTrU2rfBm1+LtUS7jQLbjcck5nh4Zrn3RnLxZploeVxwCCC3XhqsWRlfXBigFeOdbdbTy2z3JgxZAZ6XrAG2g7enkq4XE+op4ZbT4d6tyillBqBkWdAdBdave4u1xI+XC5wIezaFHyw63xJ61GUUkqpcfKPgb8aQvidjV8UkR8Efh74b0Tkp0MID0eyOqVewcY2PyGU+WAp5+ZyQZ049Ob+miMEEAQkcLGWMJGwaXBiIw9Di3W17ZBSSp0845AB0V1o9Vrb2jdnu4Bt0CfnxkzC5B6bhyullFLq8IUQ/s4OX//nIvI14I8AXwZ+5giXpdTQbXdqsWSkPzFbmCoZpjLDtbpdP7EIMJmJxrpKKaUObBwSk7oLrV57W/vmTGeGRGKfneWeX++TM7ieUkoppY6FvP93MdJVKDVEBzm1qLGuUkqpgxp5YlJ3odVJsN0OdM8HMiOb+uQopZRS6ngQkSvAV4EW8Ev7/f5bt24d6Oce9PvU8OljsVkGvFnAw47wcceQ9wfiXCh7zpcD2VP46JB6QupjMR70cRgf+liMj9f9sbh+/for38bIE5MvobvQ6rWifXOUUkqp409ESsDfA0rAXwohLI14SUqNhVoC12uB6zU36qUopZQ6JiSEMOo1bKu/C/0twAEXdwr4VlZWtv0FXvestFJKKaVebzvtQE9NTe08XUJtS0RuA1f28S1/L4TwEzvclgX+D+BPAP8A+HfDLgH1TrHqfg1i22GcTFCvRh+L8aGPxXjQx2F86GMxPk76Y7GfeHUsT0zqLrRSSimllBqij4HOPq7/YLsv9pOSf5eYlPy/gJ/YLSmplFJKKaV2N5TE5CHsQv/vwPcTd6H/24Osabes9EnPXI8jfUzGiz4e40Ufj/Gij8d40cdD7UUI4auvehsikhI3zv8E8PeBPxVC0HpVpZRSSqlXMKwTk7oLrZRSSimlXksikhFj038L+N+AnwwhxGSEUwAACihJREFU+NGuSimllFLq+BtKYlJ3oZVSSiml1Ouo32LoZ4EfA/4W8Oc0KamUUkopNRxj0WNSd6GVUkoppdSY+hvEpOQT4D7wl0Ve6Of+tRDC1454XUoppZRSx97IE5O6C62UUkoppcbYtf7fp4G/vMv1vnb4S1FKKaWUer2MPDGJ7kIrpZRSSqkxFUL4w6Neg1JKKaXU62ocEpO6C62UUkoppZRSSiml1Akjx33o9crKyvH+BZRSSiml9mFqauqF0hI1vjRWVUoppdRJs5941RzmQpRSSimllFJKKaWUUmo7mphUSimllFJKKaWUUkodOU1MKqWUUkoppZRSSimljpwmJpVSSimllFJKKaWUUkdOE5NKKaWUUkoppZRSSqkjd+ynciullFJKKaWUUkoppY4fPTGplFJKKaWUUkoppZQ6cpqYVEoppZRSSimllFJKHTlNTCqllFJKKaWUUkoppY6cJiaVUkoppZRSSimllFJHThOTgIhcF5H/VER+QUTuikhPRBZF5B+KyFdGvb7XmYhcFJG/LSIPRKQrIrdF5K+JyMyo13aSiMgpEfkzIvJ/i8hHItIWkRUR+RUR+fdFRF8rRkxEfkJEQv/Pnxn1ek4qEflq/9/JQv8164GI/BMR+bFRr+2kEZF/Q0TeF5F7/desT0Tkp0Xk+0a9NqWOgsavR0/j1tHTmHW8abw6WhqnjgeNUfdPp3IDIvJ/An8S+AD4FeAZ8Dbw44AF/mII4adGt8LXk4i8CfwL4CzwD4EPgS8BXwG+BXx/COHp6FZ4cojInwf+J+Ah8IvAHWAO+OPAFPAzwJ8I+oIxEiJyCfg68fWoBvzZEML/MtpVnTwi8l8D/wlwD/hHwBPgDPAHgH8aQvhLI1zeiSIifxX4S8BT4OeIj8VbxPftBPhTIYS/O7oVKnX4NH49Whq3jgeNWceXxqujpXHqeNAY9WA0MQmIyJ8G/nUI4Xe2fP0HgZ8HAnA1hPBwBMt7bYnIPwF+BPgLIYS/vuHr/z3wHwF/M4Tw50e1vpNERH4ImAD+3xCC3/D1eeA3gEvAvx1C+JkRLfHEEhEhvg5dA34W+I/RQO/IicifBf5n4H8F/lwIobfl8jSEkI9kcSdM/3XpPvAY+PYQwqMNl30F+AXg0xDCGyNaolJHQuPXo6Vx63jQmHU8abw6WhqnjgeNUQ9Oj7oDIYS/szWo63/9nwNfAzLgy0e9rtdZf9f5R4DbwP+45eL/HFgD/j0RmTjipZ1IIYRfCCH8PxsDvP7XF4C/0f/fP3zkC1MAfwH4IeAnif8u1BETkRLwXxFPZbwQ7AFosHekrhDjl1/fGPABhP+/vbsL1ayq4zj+/aspWaIX1lVQIhpGN76NQqXF5FAamhdKF2WEb2Ex+UIahZN64wg1vnRj+MJgGfiCFpHYpDjapCLUCIVSps5F9kI2psZkov69WPuxh+N5LJ85Z601Z38/cNjMXmcOfw5n7/171tprrcz7gBcpbwhIK5r5tR5zaz/MrN0yrzZiTu2KGXVOdkz+b5OL+JWmVaw8k7WPNi0SLF4EfgXsDRxduzC9iddAIxFxCLAeuDozH2hdz4gdRwkRdwCvDevGXBQRX3OtmCaeAF4GVkXE/tMNEXEMsA9wT4vCpI747F5a5tZdg3/3DZhXmzOn9sOMOqc9WhfQs4h4P7Aa2AF4k11aHxyOf5jR/gRlZPpg4N4qFelNImIP4LThn3e3rGVsht/9Dyijn99sXM7YHTkcXwK2Ah+eboyIByjTxv5eu7AxysztEXERsAF4LCJ+TFnH50DK+j2/AM5uWKLUlPl1WZhbO2dmbcO82gVzaifMqPOzY3KG4ZXom4G9gAsz87nGJa00+w7H52e0T87vV6EWzbae8nC7KzN/3rqYkVkHHAp8NDP/3bqYkXvvcPw6ZZOJjwGPUtZR+g7lw+htOHWsmsy8KiK2ATcCZ041/RHYuHD6jDQW5tdlY27tn5m1DfNqe+bUjphR57NipnJHxLaIyLfxNXMnpIjYnTLy8xHgFsoFLY1KRKwFLqDsOvmFxuWMSkQcRRl1/m5mPtS6Hr3xrHwFODEzt2TmvzLzt8DJlN0Pj3W6TD0RcSFwO7CRMgr9Lsquk08BNw87U0rdM79KO8/M2oZ5tRvm1I6YUeezkt6YfJLy+vL/68+LnRxC3Q+BU4Bbgc+nW5cvh8nI8r4z2ifn/1mhFi0QEV8FrqaMuq3OzO2NSxqNYUrMTZTpYhc3LkfF5D60NTO3TTdk5o5hp9bTgVWAwXyZRcTHgSuAOzPz/Kmm30TEyZRr54KIuDYzn2pRo/Q2mF93DebWTplZ2zCvdsWc2gkz6vxWTMdkZq7e2Z8REe+gTH85BfgRcFpmvrqzP1eL+v1wPHhG+0HDcdZaPlomEXEucCXwO0rA83Xzut7Nf6+LlyJise+5LiKuoywyfm61ysZrcr+a9YFzMlXynRVqEXxmON63sGEI4I9Q3hA4lDI6LXXL/LrLMLd2yMzalHm1H+bUfphR57RiOiZ3VkTsSRlhPoky+vOlhbvuaUlNLtY1EbHb9O86IvahTEPaATzcorixGhbrXU9Zl+S4zHy2cUlj9B/ghhlth1EeZFsoIcRRzzruBRL40ML71WCyyPjTdcsarb2G43tmtE/Ov1yhFqkp82s15tbOmFmbM6/2w5zaDzPqnMJZHm8sFH4HcDzlBnuWoW75Da+VrwHWZub3ps5vAM4Dvp+ZX25V39hExMXAZcCvgTVOhelPRFwCfBs4MzOvb1zOqETETyi76Z2fmVdOnV9D2f3zeeADmTlrYwQtkYg4lbJ+3t+AwzPzmam2TwM/o3xgel9m/qNNldLyM7/WZW7th5m1b+bV+sypfTCjzs83JotrKaHuWeAZYN0ir6NvzszNleta6c4BHgSuiYjVwOPAUcAnKFNhvtWwtlGJiC9SAt6rwC+BtYtcA9syc2Pl0qRefIUy+r8hIk4AtlJ2O/ws5bo5w7BXze3APcAngccj4k7gr8AhlCk0AXzDwKcRML/WZW7tgJlVWpQ5tQ9m1DnZMVkcMBz3B9a9xfdtXv5SxiMzn4yIIyjh4lOUcP0XygLWl2bmc2/1/7WkJtfA7sCsNWDup+wuJo1OZv4pIg6nPCNOBI4BXgB+ClyemY+0rG9MMvO1iDieEsI/R1mrZ29gO3AXcE1mbmpYolSL+bUic2s3zKzSAubUPphR5+dUbkmSJEmSJEnV7da6AEmSJEmSJEnjY8ekJEmSJEmSpOrsmJQkSZIkSZJUnR2TkiRJkiRJkqqzY1KSJEmSJElSdXZMSpIkSZIkSarOjklJkiRJkiRJ1dkxKUmSJEmSJKk6OyYlSZIkSZIkVWfHpCRJkiRJkqTq7JiUJEmSJEmSVJ0dk5IkSZIkSZKqs2NSkiRJkiRJUnV2TEqSJEmSJEmqzo5JSZIkSZIkSdXZMSlJkiRJkiSpOjsmJUmSJEmSJFX3OnZE/p5jydP7AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 659,
"height": 244
},
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Q0Xd3oz1JtIK",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "a54088cd-1157-4b0b-893d-2e7391d1c729"
},
"source": [
"print(f\"Each implementation compile on a data set with shape {X.shape} and benchmarked on a data set with shape {X_test.shape}\")"
],
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": [
"Each implementation compile on a data set with shape (280, 2) and benchmarked on a data set with shape (1000, 2)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4bubMsBHz_W4"
},
"source": [
"## Jax"
]
},
{
"cell_type": "code",
"metadata": {
"id": "78P8TQMuwOs9",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "0d05f64e-bfcc-43f9-916f-0612a9ee6939"
},
"source": [
"import jax\n",
"import jax.numpy as jnp\n",
"import jax.scipy as jsp\n",
"\n",
"for d in jax.local_devices():\n",
" print(d)\n",
"\n",
"import tensorflow_probability.substrates.jax as jaxp\n",
"\n",
"jaxd = jaxp.distributions\n",
"\n",
"if use_float64:\n",
" from jax.config import config\n",
" config.update(\"jax_enable_x64\", True)"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"TFRT_CPU_0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "WjVSHPutzgl9"
},
"source": [
"n_init, num_comp = 25, 3\n",
"dims = X.shape[-1]\n",
"key = jax.random.PRNGKey(1234)\n",
"raw_pi_init = jax.random.uniform(key, shape=(n_init, num_comp))\n",
"pi_init = raw_pi_init / raw_pi_init.sum(-1, keepdims=True)\n",
"key, subkey = jax.random.split(key)\n",
"mu_init = jax.random.normal(subkey, shape=(n_init, num_comp, dims))\n",
"sigma_init = jnp.tile(jnp.eye(dims)[None, ...], (n_init, num_comp, 1, 1))"
],
"execution_count": 10,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "U2fZIrapwOtK"
},
"source": [
"@jax.jit\n",
"def e_step(X, pi, mu, sigma):\n",
" mixture_log_prob = jaxd.MultivariateNormalTriL(\n",
" loc=mu, \n",
" scale_tril=jnp.linalg.cholesky(sigma)\n",
" ).log_prob(X[:, None, ...]) + jnp.log(pi)\n",
" log_membership_weight = mixture_log_prob - jsp.special.logsumexp(\n",
" mixture_log_prob, axis=-1, keepdims=True)\n",
" return jnp.exp(log_membership_weight)\n",
"\n",
"# membership_weight = jax.vmap(e_step, in_axes=(None, 0, 0, 0))(\n",
"# X, pi_init, mu_init, sigma_init)\n",
"# membership_weight.shape"
],
"execution_count": 23,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "YkF9ELZNwOtO"
},
"source": [
"@jax.jit\n",
"def m_step(X, membership_weight):\n",
" effect_number = membership_weight.sum(0)\n",
" pi_updated = effect_number / X.shape[0]\n",
" mu_updated = jnp.sum(\n",
" X[:, None, ...] * membership_weight[..., None],\n",
" axis=0) / effect_number[..., None]\n",
" centered_x = X[:, None, ...] - mu_updated\n",
" sigma_updated = jnp.sum(\n",
" jnp.einsum('...i,...j->...ij', centered_x, centered_x) * \n",
" membership_weight[..., None, None],\n",
" axis=0) / effect_number[..., None, None]\n",
" return pi_updated, mu_updated, sigma_updated\n",
"\n",
"# pi_updated, mu_updated, sigma_updated = jax.vmap(m_step, in_axes=(None, 0))(X, membership_weight)"
],
"execution_count": 17,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "YNxxVpE3wOtR"
},
"source": [
"@jax.jit\n",
"def compute_vlb(X, pi, mu, sigma, membership_weight):\n",
" component_log_prob = jaxd.MultivariateNormalTriL(\n",
" loc=mu,\n",
" scale_tril=jnp.linalg.cholesky(sigma)\n",
" ).log_prob(X[:, None, ...])\n",
" vlb = membership_weight * (\n",
" jnp.log(pi) + component_log_prob - jnp.log(\n",
" jnp.clip(membership_weight,\n",
" a_min=jnp.finfo(dtype).eps)))\n",
" return jnp.sum(vlb)\n",
"\n",
"# compute_vlb(X, pi_updated, mu_updated, sigma_updated, membership_weight)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "_jGMwj_CwOtU"
},
"source": [
"@partial(jax.jit, static_argnums=(1,))\n",
"def train_em_jax(observed, num_comp, n_init=25, rtol=1e-3, max_iter=100, seed=1234):\n",
" def cond_fn(state):\n",
" i, thetas, loss, loss_diff = state\n",
" return jnp.all((i < max_iter) & (loss_diff > rtol))\n",
"\n",
" @jax.vmap\n",
" def one_step(state):\n",
" i, (pi, mu, sigma), loss, loss_diff = state\n",
" membership_weight = e_step(observed, pi, mu, sigma)\n",
" pi_updated, mu_updated, sigma_updated = m_step(observed, membership_weight)\n",
" loss_updated = compute_vlb(\n",
" observed, pi_updated, mu_updated, sigma_updated, membership_weight)\n",
" loss_diff = jnp.abs((loss_updated/loss) - 1.)\n",
" return (i+1,\n",
" (pi_updated, mu_updated, sigma_updated),\n",
" loss_updated,\n",
" loss_diff)\n",
" \n",
" # run EM...\n",
" dims = observed.shape[-1]\n",
" key = jax.random.PRNGKey(seed)\n",
" raw_pi_init = jax.random.uniform(key, shape=(n_init, num_comp))\n",
" pi_init = raw_pi_init / raw_pi_init.sum(-1, keepdims=True)\n",
" key, subkey = jax.random.split(key)\n",
" mu_init = jax.random.normal(subkey, shape=(n_init, num_comp, dims))\n",
" sigma_init = jnp.tile(jnp.eye(dims)[None, ...], (n_init, num_comp, 1, 1))\n",
" \n",
" init_val = (jnp.zeros([n_init], jnp.int32),\n",
" (pi_init, mu_init, sigma_init),\n",
" -jnp.ones([n_init]) * jnp.inf,\n",
" jnp.ones([n_init]) * jnp.inf)\n",
" num_iter, (pi_est, mu_est, sigma_est), loss, loss_diff = jax.lax.while_loop(\n",
" cond_fn, one_step, init_val)\n",
" index = jnp.argmax(loss)\n",
" pi_best, mu_best, sigma_best = jax.tree_map(\n",
" lambda x: x[index], (pi_est, mu_est, sigma_est))\n",
" return pi_best, mu_best, sigma_best"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "n0_2oKlI10dv",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "7e3c1848-bdae-4979-b7d9-f23051ecba06"
},
"source": [
"%%time\n",
"pi_best, mu_best, sigma_best = train_em_jax(X, 3)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"CPU times: user 1.04 s, sys: 208 ms, total: 1.25 s\n",
"Wall time: 1.53 s\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "8KWC-g-4wOtY",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "724706b9-57e3-432c-e3ac-31b9d6219b25"
},
"source": [
"label = np.argmax(e_step(X, pi_best, mu_best, sigma_best), axis=-1)\n",
"\n",
"for i in range(label.max()+1):\n",
" plt.scatter(X[label==i, 0], X[label==i, 1], alpha=.25);"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 408,
"height": 244
},
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "AmX7EpzXixLT"
},
"source": [
"jax_runtime, (pi_best, mu_best, sigma_best) = benchmark_fn_jax(\n",
" train_em_jax, (X_test, 3))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "q4qsqM1JwOtb",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "90030942-d032-4ba8-d919-77527cf3bbea"
},
"source": [
"%timeit _ = train_em_jax(X_test, 3)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"100 loops, best of 3: 9.68 ms per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Ch1paK5hUuxl",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "b3a8a306-410e-4f66-dc8d-b613ab1d85f0"
},
"source": [
"label = np.argmax(e_step(X_test, pi_best, mu_best, sigma_best), axis=-1)\n",
"\n",
"for i in range(label.max()+1):\n",
" plt.scatter(X_test[label==i, 0], X_test[label==i, 1], alpha=.25);"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 408,
"height": 244
},
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hjU8CJWrxKN2"
},
"source": [
"### Compare to repeatly calling a compiled Jax function"
]
},
{
"cell_type": "code",
"metadata": {
"id": "8H3EW45CxQRQ"
},
"source": [
"def train_em_jax2(observed, num_comp, rtol=1e-3, max_iter=100, n_init=25, seed=1234):\n",
" @jax.jit\n",
" @jax.vmap\n",
" def one_step(pi, mu, sigma, loss, loss_diff):\n",
" membership_weight = e_step(observed, pi, mu, sigma)\n",
" pi_updated, mu_updated, sigma_updated = m_step(observed, membership_weight)\n",
" loss_updated = compute_vlb(\n",
" observed, pi_updated, mu_updated, sigma_updated, membership_weight)\n",
" loss_diff = jnp.abs((loss_updated/loss) - 1.)\n",
" return pi_updated, mu_updated, sigma_updated, loss_updated, loss_diff\n",
" \n",
" # run EM...\n",
" dims = observed.shape[-1]\n",
" key = jax.random.PRNGKey(seed)\n",
" raw_pi_init = jax.random.uniform(key, shape=(n_init, num_comp))\n",
" pi_init = raw_pi_init / raw_pi_init.sum(-1, keepdims=True)\n",
" key, subkey = jax.random.split(key)\n",
" mu_init = jax.random.normal(subkey, shape=(n_init, num_comp, dims))\n",
" sigma_init = jnp.tile(jnp.eye(dims)[None, ...], (n_init, num_comp, 1, 1))\n",
" \n",
" pi, mu, sigma, loss, loss_diff = (\n",
" pi_init, mu_init, sigma_init,\n",
" -jnp.ones([n_init]) * jnp.inf,\n",
" jnp.ones([n_init]) * jnp.inf)\n",
" num_iter = 0\n",
" while (num_iter < max_iter) & jnp.all(loss_diff > rtol):\n",
" pi, mu, sigma, loss, loss_diff = one_step(pi, mu, sigma, loss, loss_diff)\n",
" index = jnp.argmax(loss)\n",
" pi_best, mu_best, sigma_best = jax.tree_map(\n",
" lambda x: x[index], (pi, mu, sigma))\n",
" return pi_best, mu_best, sigma_best"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "cEif4RuTwOte"
},
"source": [
"## scikit-learn"
]
},
{
"cell_type": "code",
"metadata": {
"id": "NR0v_gWkwOtj"
},
"source": [
"from sklearn import mixture"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "iHzVwFT3wOtm",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "bc543848-ee51-479e-f191-3ddf91473960"
},
"source": [
"clf = mixture.GaussianMixture(n_components=3, covariance_type='full', n_init=25)\n",
"label = clf.fit_predict(X)\n",
"for i in range(label.max()+1):\n",
" plt.scatter(X[label==i, 0], X[label==i, 1], alpha=.25);"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 408,
"height": 244
},
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "RJYgDb72wOtq"
},
"source": [
"def train_em_sklearn(observed, num_comp, rtol=1e-3, max_iter=100, n_init=25, seed=1234):\n",
" clf = mixture.GaussianMixture(\n",
" n_components=num_comp,\n",
" covariance_type='full',\n",
" max_iter=max_iter,\n",
" n_init=n_init,\n",
" tol=rtol,\n",
" random_state=seed)\n",
" clf.fit(observed)\n",
" return clf.weights_, clf.means_, clf.covariances_, clf"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "SpPgrE-eirPv"
},
"source": [
"sklearn_runtime, (pi_best, mu_best, sigma_best, _) = benchmark_fn(\n",
" train_em_sklearn, (X_test, 3))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "aV4QVs-VwOtt",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "f7524ddf-88fc-48bf-8ac9-ae0d8babc306"
},
"source": [
"%timeit _ = train_em_sklearn(X_test, 3)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"10 loops, best of 3: 131 ms per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "bCHSmz4UwOtw"
},
"source": [
"## TensorFlow"
]
},
{
"cell_type": "code",
"metadata": {
"id": "7gICBa2GH11p"
},
"source": [
"import tensorflow.compat.v2 as tf\n",
"import tensorflow_probability as tfp\n",
"\n",
"tf.enable_v2_behavior()\n",
"\n",
"tfd = tfp.distributions"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "bKUsHh8UwOtz"
},
"source": [
"def e_step_tf(X, pi, mu, sigma):\n",
" mixture_log_prob = tfd.MultivariateNormalTriL(\n",
" loc=mu,\n",
" scale_tril=tf.linalg.cholesky(sigma)\n",
" ).log_prob(X[:, None, None, ...]) + tf.math.log(pi)\n",
" log_membership_weight = mixture_log_prob - tf.math.reduce_logsumexp(\n",
" mixture_log_prob, axis=-1, keepdims=True)\n",
" return tf.math.exp(log_membership_weight)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "J57ltSdSwOt2"
},
"source": [
"def m_step_tf(X, membership_weight):\n",
" effect_number = tf.reduce_sum(membership_weight, axis=0)\n",
" pi_updated = effect_number / X.shape[0]\n",
" mu_updated = tf.einsum(\n",
" 'ij,ibc->bcj', X, membership_weight\n",
" ) / effect_number[..., None]\n",
" centered_x = X[:, None, None, ...] - mu_updated\n",
" sigma_updated = tf.reduce_sum(\n",
" tf.einsum('...i,...j->...ij', centered_x, centered_x) * \n",
" membership_weight[..., None, None],\n",
" axis=0) / effect_number[..., None, None]\n",
" return pi_updated, mu_updated, sigma_updated"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "z4PrZ01UwOt5"
},
"source": [
"eps = np.finfo(dtype).eps\n",
"\n",
"def compute_vlb_tf(X, pi, mu, sigma, membership_weight):\n",
" component_log_prob = tfd.MultivariateNormalTriL(\n",
" loc=mu,\n",
" scale_tril=tf.linalg.cholesky(sigma)\n",
" ).log_prob(X[:, None, None, ...])\n",
" vlb = membership_weight * (\n",
" tf.math.log(pi) + component_log_prob - tf.math.log(\n",
" tf.clip_by_value(membership_weight, eps, 1.)))\n",
" return tf.reduce_sum(vlb, axis=[0, -1])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "tGJpgcToy9zq"
},
"source": [
"**2020-06-20: for some reason the function below is extremely slow in GPU when wrap in `tf.function(experimental_compile=True)`**"
]
},
{
"cell_type": "code",
"metadata": {
"id": "b6mR6qOCwOt8",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "961d08df-64b1-446f-9514-ec69346cef90"
},
"source": [
"# @tf.function(experimental_compile=True)\n",
"@tfp.experimental.nn.util.tfcompile\n",
"def train_em_tf(observed, num_comp, rtol=1e-3, max_iter=100, n_init=25, seed=1234):\n",
" def cond_fn(i, thetas, loss, loss_diff):\n",
" return tf.reduce_all((i < max_iter) & (loss_diff > rtol))\n",
"\n",
" def one_step(i, thetas, loss, loss_diff):\n",
" pi, mu, sigma = thetas\n",
" membership_weight = e_step_tf(observed, pi, mu, sigma)\n",
" pi_updated, mu_updated, sigma_updated = m_step_tf(observed, membership_weight)\n",
" loss_updated = compute_vlb_tf(\n",
" observed, pi_updated, mu_updated, sigma_updated, membership_weight)\n",
" loss_diff = tf.abs((loss_updated/loss) - 1.)\n",
" return i+1, (pi_updated, mu_updated, sigma_updated), loss_updated, loss_diff\n",
"\n",
" seedstream = tfp.util.SeedStream(seed, salt='train_em')\n",
" dims = observed.shape[-1]\n",
" dtype = observed.dtype\n",
" raw_pi_init = tfd.Uniform(tf.constant(0., dtype), 1.).sample(\n",
" (n_init, num_comp), seed=seedstream)\n",
" pi_init = raw_pi_init / tf.reduce_sum(raw_pi_init, axis=-1, keepdims=True)\n",
" mu_init = tfd.Normal(tf.constant(0., dtype), 1.).sample(\n",
" (n_init, num_comp, dims), seed=seedstream)\n",
" sigma_init = tf.tile(tf.eye(dims, dtype=dtype)[None, None, ...],\n",
" (n_init, num_comp, 1, 1))\n",
" \n",
" init_val = (tf.zeros([n_init], np.int32),\n",
" (pi_init, mu_init, sigma_init),\n",
" -tf.ones([n_init], dtype=dtype) * np.inf,\n",
" tf.ones([n_init], dtype=dtype) * np.inf)\n",
" num_iter, (pi_est, mu_est, sigma_est), loss, loss_diff = tf.while_loop(\n",
" cond_fn, one_step, init_val)\n",
" index = tf.argmax(loss)\n",
" pi_best, mu_best, sigma_best = tf.nest.map_structure(\n",
" lambda x: tf.gather(x, index), (pi_est, mu_est, sigma_est))\n",
" return pi_best, mu_best, sigma_best"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/__init__.py:69: UserWarning: TensorFloat-32 matmul/conv are enabled for NVIDIA Ampere+ GPUs. The resulting loss of precision may hinder MCMC convergence. To turn off, run `tf.config.experimental.enable_tensor_float_32_execution(False)`. For more detail, see https://github.com/tensorflow/community/pull/287.\n",
" 'TensorFloat-32 matmul/conv are enabled for NVIDIA Ampere+ GPUs. The '\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ixYQ67GH18eA",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "485e833b-de72-44b7-f728-3a2b999a9061"
},
"source": [
"%%time\n",
"pi_best, mu_best, sigma_best = train_em_tf(X, 3)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/tensorflow_probability/python/__init__.py:69: UserWarning: TensorFloat-32 matmul/conv are enabled for NVIDIA Ampere+ GPUs. The resulting loss of precision may hinder MCMC convergence. To turn off, run `tf.config.experimental.enable_tensor_float_32_execution(False)`. For more detail, see https://github.com/tensorflow/community/pull/287.\n",
" 'TensorFloat-32 matmul/conv are enabled for NVIDIA Ampere+ GPUs. The '\n",
"WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/tensorflow/python/ops/linalg/linear_operator_lower_triangular.py:167: calling LinearOperator.__init__ (from tensorflow.python.ops.linalg.linear_operator) with graph_parents is deprecated and will be removed in a future version.\n",
"Instructions for updating:\n",
"Do not pass `graph_parents`. They will no longer be used.\n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"CPU times: user 572 ms, sys: 24.3 ms, total: 597 ms\n",
"Wall time: 657 ms\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ao7-53BpwOt_",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "5c2921ac-ed35-475b-b528-74ef72a7b058"
},
"source": [
"label = np.squeeze(tf.argmax(\n",
" e_step_tf(X, pi_best[None, ...], mu_best[None, ...], sigma_best[None, ...]),\n",
" axis=-1))\n",
"\n",
"for i in range(label.max()+1):\n",
" plt.scatter(X[label==i, 0], X[label==i, 1], alpha=.25);"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 408,
"height": 244
},
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Zua74pGUjDYq"
},
"source": [
"tf_runtime, (pi_best, mu_best, sigma_best) = benchmark_fn(\n",
" train_em_tf, (X_test, 3))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "pdEMDQoBwOuC",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "b9b1e0c4-0e3f-4264-aea4-b8de80250d89"
},
"source": [
"%timeit _ = train_em_tf(X_test, 3)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"10 loops, best of 3: 191 ms per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "puW51Q5jUaSY",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "85b86681-11b1-4413-b4aa-bfb62a57e386"
},
"source": [
"label = np.squeeze(tf.argmax(\n",
" e_step_tf(X_test, pi_best[None, ...], mu_best[None, ...], sigma_best[None, ...]),\n",
" axis=-1))\n",
"\n",
"for i in range(label.max()+1):\n",
" plt.scatter(X_test[label==i, 0], X_test[label==i, 1], alpha=.25);"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 408,
"height": 244
},
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "8trcCQz5IbVU"
},
"source": [
"## Theano/PyMC3"
]
},
{
"cell_type": "code",
"metadata": {
"id": "QPIEPjKyIbVl"
},
"source": [
"import pymc3 as pm\n",
"import theano\n",
"import theano.tensor as tt"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "DQQUPP6HLAPM"
},
"source": [
"# X_shared = theano.shared(X)\n",
"X_shared = tt.matrix(name='X')\n",
"\n",
"pi_tt = tt.vector(name='pi')\n",
"mu_tt = tt.matrix(name='mu')\n",
"sigma_tt = tt.tensor3(name='sigma')"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "W8emMdT5WTB_"
},
"source": [
"# The priors for the mixture proportions\n",
"pi = np.asarray([0.34518140, 0.6066179, 0.04820071]).astype(dtype)\n",
"# The start values for mu_c\n",
"mu = np.asarray(\n",
" [[-0.7133619, 0.90635089],\n",
" [0.7662367, 0.8260541],\n",
" [ -1.3236828, -1.7524445]]).astype(dtype)\n",
"# Covariance matrix between the clusters \n",
"sigma = np.asarray([\n",
" [[1.004904, 1.899802], [1.899802, 4.183546]],\n",
" [[1.9686781, 0.7841534], [0.7841534, 1.8331994]],\n",
" [[0.1931634, -0.1164864], [-0.1164864, 1.9839597]],\n",
"]).astype(dtype)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "rETdDC51IbV9"
},
"source": [
"# E Step\n",
"log_prob, _ = theano.scan(\n",
" lambda mu_, sigma_, pi_: pm.MvNormal.dist(\n",
" mu=mu_, cov=sigma_).logp(X_shared) + tt.log(pi_),\n",
" sequences=[mu_tt, sigma_tt, pi_tt])\n",
"log_membership_weight = log_prob - pm.math.logsumexp(log_prob, axis=0)\n",
"membership_weight = tt.transpose(tt.exp(log_membership_weight))\n",
"\n",
"e_step_theano = theano.function([X_shared, pi_tt, mu_tt, sigma_tt], membership_weight)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "3EMZrIQ-IbWB"
},
"source": [
"# M Step\n",
"effect_number = tt.sum(membership_weight, axis=0)\n",
"pi_updated = effect_number / X_shared.shape[0]\n",
"mu_updated = tt.sum(\n",
" X_shared[:, None, ...] * membership_weight[..., None],\n",
" axis=0) / effect_number[..., None]\n",
"centered_x = X_shared[:, None, ...] - mu_updated\n",
"sigma_updated = tt.sum(\n",
" centered_x[:, :, :, None] * centered_x[:, :, None, :] *\n",
" membership_weight[..., None, None],\n",
" axis=0) / effect_number[..., None, None]"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "96sSh-T8XWJX"
},
"source": [
"# Compute variational lower bound\n",
"log_prob_updated, _ = theano.scan(\n",
" lambda mu_, sigma_: pm.MvNormal.dist(mu=mu_, cov=sigma_).logp(X_shared),\n",
" sequences=[mu_updated, sigma_updated])\n",
"vlb = tt.sum(membership_weight * (\n",
" tt.log(pi_updated) + log_prob_updated.T - tt.log(\n",
" tt.clip(membership_weight, np.finfo(X.dtype).eps, 1.))))\n",
"\n",
"em_one_step = theano.function([X_shared, pi_tt, mu_tt, sigma_tt], [pi_updated, mu_updated, sigma_updated, vlb])\n",
"_ = em_one_step(X, pi, mu, sigma)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "39aOK5krZVm2",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "4a6f225a-86dd-4de6-d985-52cd6b0d308e"
},
"source": [
"%timeit _ = em_one_step(X, pi, mu, sigma)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"1000 loops, best of 3: 762 µs per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "IiPyZfmPXWJt"
},
"source": [
"def train_em_theano(observed, num_comp, rtol=1e-3, max_iter=100, n_init=25, seed=1234):\n",
" np.random.seed(seed)\n",
" dims = observed.shape[-1]\n",
" raw_pi_init = np.random.rand(n_init, num_comp)\n",
" pi_init = raw_pi_init / raw_pi_init.sum(-1, keepdims=True)\n",
" mu_init = np.random.randn(n_init, num_comp, dims)\n",
" sigma_init = np.tile(np.eye(dims)[None, ...], (n_init, num_comp, 1, 1))\n",
"\n",
" # run EM...\n",
" loss_all = np.zeros(n_init)\n",
" pi_all = np.zeros_like(pi_init)\n",
" mu_all = np.zeros_like(mu_init)\n",
" sigma_all = np.zeros_like(sigma_init)\n",
" for i, (pi, mu, sigma) in enumerate(zip(pi_init, mu_init, sigma_init)):\n",
" j = 0\n",
" loss = np.inf\n",
" loss_diff = np.inf\n",
" while (j < max_iter) & (loss_diff > rtol):\n",
" pi, mu, sigma, loss_updated = em_one_step(observed, pi, mu, sigma)\n",
" loss_diff = np.abs((loss_updated/loss) - 1.)\n",
" loss = loss_updated\n",
" j += 1\n",
" loss_all[i] = loss\n",
" pi_all[i] = pi\n",
" mu_all[i] = mu\n",
" sigma_all[i] = sigma\n",
" \n",
" loss_all[np.isnan(loss_all)] = -np.inf\n",
" index = np.argmax(loss_all)\n",
" \n",
" return pi_all[index], mu_all[index], sigma_all[index]"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Y4DAMTdpXWJ6",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "abf159c9-3495-4aa4-f8f9-2bf566eee833"
},
"source": [
"%%time\n",
"pi_best, mu_best, sigma_best = train_em_theano(X, 3, n_init=25)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"CPU times: user 311 ms, sys: 0 ns, total: 311 ms\n",
"Wall time: 309 ms\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Diqew7paXWKI",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "36ce17cc-7e80-43d0-e03c-bded704077d5"
},
"source": [
"label = np.argmax(e_step_theano(X, pi_best, mu_best, sigma_best), axis=-1)\n",
"\n",
"for i in range(label.max()+1):\n",
" plt.scatter(X[label==i, 0], X[label==i, 1], alpha=.25);"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"image/png": {
"width": 408,
"height": 244
},
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "eBj4oQFjjLfl"
},
"source": [
"theano_runtime, (pi_best, mu_best, sigma_best) = benchmark_fn(\n",
" train_em_theano, (X_test, 3))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "49AU3l9xXWKP",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "0237a965-2e77-40ce-d12d-02931b022ca9"
},
"source": [
"%timeit _ = train_em_theano(X_test, 3)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"1 loop, best of 3: 776 ms per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "riMRr2OJXWKW",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 261
},
"outputId": "6e185738-ea24-4c5a-e601-5a54c78a6044"
},
"source": [
"label = np.argmax(\n",
" e_step_theano(X_test, pi_best, mu_best, sigma_best), axis=-1)\n",
"\n",
"for i in range(label.max()+1):\n",
" plt.scatter(X_test[label==i, 0], X_test[label==i, 1], alpha=.25);"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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
View raw

(Sorry about that, but we can’t show files that are this big right now.)

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment