{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov switching autoregression models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook provides an example of the use of Markov switching models in statsmodels to replicate a number of results presented in Kim and Nelson (1999). It applies the Hamilton (1989) filter the Kim (1994) smoother.\n", "\n", "This is tested against the Markov-switching models from E-views 8, which can be found at http://www.eviews.com/EViews8/ev8ecswitch_n.html#MarkovAR or the Markov-switching models of Stata 14 which can be found at http://www.stata.com/manuals14/tsmswitch.pdf." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:19.645216Z", "iopub.status.busy": "2022-11-02T17:07:19.644687Z", "iopub.status.idle": "2022-11-02T17:07:22.233715Z", "shell.execute_reply": "2022-11-02T17:07:22.233006Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from datetime import datetime\n", "from io import BytesIO\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import requests\n", "import statsmodels.api as sm\n", "\n", "# NBER recessions\n", "from pandas_datareader.data import DataReader\n", "\n", "usrec = DataReader(\n", " \"USREC\", \"fred\", start=datetime(1947, 1, 1), end=datetime(2013, 4, 1)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hamilton (1989) switching model of GNP\n", "\n", "This replicates Hamilton's (1989) seminal paper introducing Markov-switching models. The model is an autoregressive model of order 4 in which the mean of the process switches between two regimes. It can be written:\n", "\n", "$$\n", "y_t = \\mu_{S_t} + \\phi_1 (y_{t-1} - \\mu_{S_{t-1}}) + \\phi_2 (y_{t-2} - \\mu_{S_{t-2}}) + \\phi_3 (y_{t-3} - \\mu_{S_{t-3}}) + \\phi_4 (y_{t-4} - \\mu_{S_{t-4}}) + \\varepsilon_t\n", "$$\n", "\n", "Each period, the regime transitions according to the following matrix of transition probabilities:\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00} & p_{10} \\\\\n", "p_{01} & p_{11}\n", "\\end{bmatrix}\n", "$$\n", "\n", "where $p_{ij}$ is the probability of transitioning *from* regime $i$, *to* regime $j$.\n", "\n", "The model class is `MarkovAutoregression` in the time-series part of `statsmodels`. In order to create the model, we must specify the number of regimes with `k_regimes=2`, and the order of the autoregression with `order=4`. The default model also includes switching autoregressive coefficients, so here we also need to specify `switching_ar=False` to avoid that.\n", "\n", "After creation, the model is `fit` via maximum likelihood estimation. Under the hood, good starting parameters are found using a number of steps of the expectation maximization (EM) algorithm, and a quasi-Newton (BFGS) algorithm is applied to quickly find the maximum." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:22.239259Z", "iopub.status.busy": "2022-11-02T17:07:22.238078Z", "iopub.status.idle": "2022-11-02T17:07:24.354965Z", "shell.execute_reply": "2022-11-02T17:07:24.354349Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the RGNP data to replicate Hamilton\n", "dta = pd.read_stata(\"https://www.stata-press.com/data/r14/rgnp.dta\").iloc[1:]\n", "dta.index = pd.DatetimeIndex(dta.date, freq=\"QS\")\n", "dta_hamilton = dta.rgnp\n", "\n", "# Plot the data\n", "dta_hamilton.plot(title=\"Growth rate of Real GNP\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "mod_hamilton = sm.tsa.MarkovAutoregression(\n", " dta_hamilton, k_regimes=2, order=4, switching_ar=False\n", ")\n", "res_hamilton = mod_hamilton.fit()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:24.359284Z", "iopub.status.busy": "2022-11-02T17:07:24.358547Z", "iopub.status.idle": "2022-11-02T17:07:24.375397Z", "shell.execute_reply": "2022-11-02T17:07:24.374705Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: rgnp No. Observations: 131
Model: MarkovAutoregression Log Likelihood -181.263
Date: Wed, 02 Nov 2022 AIC 380.527
Time: 17:07:24 BIC 406.404
Sample: 04-01-1951 HQIC 391.042
- 10-01-1984
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const -0.3588 0.265 -1.356 0.175 -0.877 0.160
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 1.1635 0.075 15.614 0.000 1.017 1.310
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.5914 0.103 5.761 0.000 0.390 0.793
ar.L1 0.0135 0.120 0.112 0.911 -0.222 0.249
ar.L2 -0.0575 0.138 -0.418 0.676 -0.327 0.212
ar.L3 -0.2470 0.107 -2.310 0.021 -0.457 -0.037
ar.L4 -0.2129 0.111 -1.926 0.054 -0.430 0.004
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.7547 0.097 7.819 0.000 0.565 0.944
p[1->0] 0.0959 0.038 2.542 0.011 0.022 0.170


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "================================================================================\n", "Dep. Variable: rgnp No. Observations: 131\n", "Model: MarkovAutoregression Log Likelihood -181.263\n", "Date: Wed, 02 Nov 2022 AIC 380.527\n", "Time: 17:07:24 BIC 406.404\n", "Sample: 04-01-1951 HQIC 391.042\n", " - 10-01-1984 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.3588 0.265 -1.356 0.175 -0.877 0.160\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 1.1635 0.075 15.614 0.000 1.017 1.310\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.5914 0.103 5.761 0.000 0.390 0.793\n", "ar.L1 0.0135 0.120 0.112 0.911 -0.222 0.249\n", "ar.L2 -0.0575 0.138 -0.418 0.676 -0.327 0.212\n", "ar.L3 -0.2470 0.107 -2.310 0.021 -0.457 -0.037\n", "ar.L4 -0.2129 0.111 -1.926 0.054 -0.430 0.004\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7547 0.097 7.819 0.000 0.565 0.944\n", "p[1->0] 0.0959 0.038 2.542 0.011 0.022 0.170\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_hamilton.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the filtered and smoothed probabilities of a recession. Filtered refers to an estimate of the probability at time $t$ based on data up to and including time $t$ (but excluding time $t+1, ..., T$). Smoothed refers to an estimate of the probability at time $t$ using all the data in the sample.\n", "\n", "For reference, the shaded periods represent the NBER recessions." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:24.378646Z", "iopub.status.busy": "2022-11-02T17:07:24.378404Z", "iopub.status.idle": "2022-11-02T17:07:25.049880Z", "shell.execute_reply": "2022-11-02T17:07:25.049261Z" } }, "outputs": [ { "data": { "image/png": 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ixRdfxFdffZXwGi0RPdOnT8fYsWPxf//3f+jt7VX9HU6nE3PnzsUrr7yCvXv30p9/8803eOuttzR/jnA4HBOvFQwG8cADD6CmpibGS6rEjBkzUFtbi6VLl8YowW+++Sa++eabhGQAALjvvvvo/xcEAffddx/cbjdOP/10+rk4jovxq+7evVt1mtmqVativLD79u3Dq6++ijPOOCNltmsqSEEf/z0TLr/8cnz99df49a9/DafTiYsuuijl7/z2t78NAAmFLlFGlbZZJlx44YU4cOAAHnrooYSfDQwMoK+vDwAwb948OBwO3H777VRhJRCVcu7cuSgvL8edd96p6FMl+2Z/fz/8fn/Mz8aOHYuysjK6n3R0dCSon6RoVltVcDqdOOOMM/Dqq6/G2Eyamprw9NNP48QTT6TWBQaDkT5MeWUw8pTp06fjnXfewT333IOhQ4di9OjRmDlzJv7whz9g5cqVmDlzJq655hpMnjwZ7e3tWLduHd555x20t7cn/b0OhwP//Oc/cdZZZ2HKlClYsGABhg0bhgMHDmDlypUoLy/Hf//7XwBitNGyZctw0kkn4ac//SnC4TD+9re/YcqUKfjyyy81fY6hQ4firrvuwu7du3HYYYfh2WefxYYNG/Dggw+mnDLmdrtx1113YcGCBZg9ezYuvvhiGpU1atQo3HDDDTHP9/l8WLZsGebPn4+ZM2fizTffxOuvv46bbrqJqqRnn3027rnnHpx55pm45JJL0NzcjPvvvx/jxo1T/ExTp07F3LlzY6KyyLbJFFK8/8///A/mzp2bUKCeffbZGDx4MJ5//nmcddZZqK2tTfk7jzzySMyfPx8PPvggOjs7MXv2bKxevRqPP/445s2bh1NPPTXj9y3n8ssvx3PPPYcf//jHWLlyJU444QREIhFs3rwZzz33HN566y3MmDED48aNw29/+1vccccdOOmkk3DBBRfA6/Xi888/x9ChQ7FkyRKUl5fjH//4By6//HIcffTRuOiii1BTU4O9e/fi9ddfxwknnID77rsPW7duxemnn44LL7wQkydPhsvlwssvv4ympia6/R5//HH8/e9/x3e+8x2MHTsWPT09eOihh1BeXk4LfCV+//vfY/ny5TjxxBPx05/+FC6XCw888AACgQD++Mc/GrrtGIyCJZdRBwwGIxESoaMW0aM1Kmvz5s3CySefLBQVFQkAYmKzmpqahOuuu05oaGgQ3G63UF9fL5x++unCgw8+SJ9D4qeef/55xfexfv164YILLhAGDx4seL1eYeTIkcKFF14orFixIuZ577//vjB9+nTB4/EIY8aMEZYuXar4fpWYPXu2MGXKFGHNmjXCrFmzBJ/PJ4wcOVK47777Yp6X6r0+++yzwlFHHSV4vV5h0KBBwqWXXirs378/5jkk9mnHjh3CGWecIRQXFwt1dXXC4sWLE6KZHn74YWH8+PGC1+sVJk6cKDz66KOKnwmAcN111wlPPvkkff5RRx0lrFy5MuZ56UZlhcNh4Wc/+5lQU1MjcBynuE1/+tOfCgCEp59+WnHbKBEKhYTbbrtNGD16tOB2u4WGhgZh0aJFgt/vV9xmWiDfpRLBYFC46667hClTpgher1eoqqoSpk+fLtx2221CV1dXzHMfeeQR+l1WVVUJs2fPFpYvXx7znJUrVwpz584VKioqBJ/PJ4wdO1a48soraWRZa2urcN111wkTJ04USkpKhIqKCmHmzJnCc889R3/HunXrhIsvvlgYMWKE4PV6hdraWuGcc86JiT0ThMSoLPLauXPnCqWlpUJxcbFw6qmnCp988knMc9SOc7Ivx+8jDAZDghME5gpnMBjW5JRTTkFra6uixYGhjRtuuAEPP/wwGhsbbT+KlcFgMADmeWUwGIy8xe/348knn8R3v/tdVrgyGIy8gXleGQwGI89obm7GO++8gxdeeAFtbW34+c9/nuu3xGAwGIbBilcGg8HIM77++mtceumlqK2txV//+lfVaCkGg8GwI8zzymAwGAwGg8GwDczzymAwGAwGg8GwDax4ZTAYDAaDwWDYBlt4Xnmex8GDB1FWVmbKvG0Gg8FgMBgMRvYRBAE9PT0YOnQoHA5tmqotiteDBw+yedAMBoPBYDAYecq+ffswfPhwTc+1RfFaVlYGQPxgbC40g8FgMBgMRn7Q3d2NhoYGWutpwRbFK7EKlJeXs+KVwWAwGAwGI8/QYwtlDVsMBoPBYDAYDNvAilcGg8FgMBgMhm1gxSuDwWAwGAwGwzaw4pXBYDAYDAaDYRtY8cpgMBgMBoPBsA2seGUwGAwGg8Fg2AbdxesHH3yAc889F0OHDgXHcXjllVdSvua9997D0UcfDa/Xi3HjxuGxxx5L460yGAwGg8FgMAod3cVrX18fjjzySNx///2anr9r1y6cffbZOPXUU7Fhwwb84he/wNVXX4233npL95tlMBgMBoPBYBQ2uocUnHXWWTjrrLM0P3/p0qUYPXo07r77bgDApEmT8NFHH+HPf/4z5s6dq/fPMxgMBoPBYDAKGNMnbK1atQpz5syJeWzu3Ln4xS9+ofqaQCCAQCBA/93d3W3W20sgHA5DEATdr+M4Di6XLQaWmYbStovwAv7zxSFMGVqGw+piR79ZfZuluy8A1v9sDIYSmezzQOHt95luLzn9wTCWvr8LDYOK8f3pwwAU3va0GuT77fGH0N4fwshBxTE/N+P7MXKfUiMf9ivT331jYyPq6upiHqurq0N3dzcGBgZQVFSU8JolS5bgtttuM/utJRAOh7Fv3z6EQiHdr3W73WhoaLD9DpEuatvu6Q3teGxdG6bU+vDncxpifmblbZbJvgBY+7MxGEpkus8DhbXfG7G9CPu7grhtxSHs6Qyi2O3AjEFBAIW1Pa2G/Pv9xWv7sKXFjycuHI3qEum7MPr7SbVPbWv1Y82Bfnz/8Cq4HNpHqcaTD/uVJd/5okWLsHDhQvrv7u5uNDQ0JHmFMQiCgFAoBKfTmfClCoKAF75sQ0OlF8eNjFUQw+EwQqGQ6XdLVkZp221uHsATG9oAAJ1+Hl6vlz7f6tss2b6QCqt/NgZDiUz2eaDw9ns922vN/l5sbh7ACaPKMHqQL+ZnH+zsxpJ396M/xAMA+kM8PB4PIpFIQW1PqyH/fg92hxARgKZ+AcMGidcxM/b3ZPvUoe4g/t+yA+gN8hhXU4ITR5en9Tfy5Tg1vXitr69HU1NTzGNNTU0oLy9XVF0BwOv1xhQ62cblcsHtdsc8tqW5H/d90giPk8NLC6ZgUHHszyORSDbfomUh284f4vG/7+5HRDwfwx/mE7apHbaZ0r6gBTt8NgZDiXT3eaAw93st2+uOd/ajcyCMhz5rwtjBPnxrQhVOG1eFVze14qm1zQCAyXXF+LqpHwAgOFxwcVxBbk+r4XK5EIyIhV53CDHftVnfT/w+FQjzuHX5PvQGxQtqhz/xeqqHfNivTM95nTVrFlasWBHz2PLlyzFr1iyz/7Sh7Gr3AwCCEQHPbWjJ8buxPvd/fAB7OwLwucRdbCCqKjAYDEYhEQjz6BwIAwCcDmBHmx9LPzmEC//1NS1cLzqqBvddMD7mNQzrQIrXjv7MLSLp8NcPD2Bz8wD9d5ff/sVnpuguXnt7e7FhwwZs2LABgBiFtWHDBuzduxeAuOR/xRVX0Of/+Mc/xs6dO/Gb3/wGmzdvxt///nc899xzuOGGG4z5BFliX6fUQPbily3oDbCdR41Pd3fjxS9bAQC/OnU4ALF4tfsyBYPBYOiFFK4uB4fXrz4cN57WgKOHl4IDUOx24PdnjcL/nDQcXhcHYmMMhNm50ipEeAFhXvw+yHeZTd7e0o6XN7aCAzClTmwY6/Infx/vbuvAp7uz1+ieC3TbBtasWYNTTz2V/pt4U+fPn4/HHnsMhw4dooUsAIwePRqvv/46brjhBvzlL3/B8OHD8c9//tN2MVn7Ov30//cFebz0ZQuuOKY+h+/ImnT5w7hzxR4AwPeOrMHsMZX4PfZCgHj36nWlbzJnMBgMu0EKnsoiJ8p9Lpw3tRrnTa1Ge38IDo5DZZF4GeY4Dl6XAwMhXlRevWwAphUIRaQbiY4sF6+72/246919AID5x9ShxOPEpqZ+dCV5H+39IdyybDcA4OEfTMCE2mLV59oZ3cXrKaecklRBU5qedcopp2D9+vV6/5Sl2NchKq+njK3Eezs68cyGFlw4rRY+NzvBEARBwN3vH0RrXxijqny47oShMR2RAyEeXld+bK/Xv27Di1+24M6zx6C+zJPrt8NgMCyKVLzGXm7j+yYAwOuMFq8RHmx6uzUIRiQLRzaV14FQBL99YxcGQjymDy/FVTOH4M1v2gEA3UlsA619IUSFYtz17j48dOFhcGaQTGBV2NGhAUEQqG3ghzPrUV/mQedAGK993Zbjd2YtGnvCeH9nN5wcsHjuSHhdDjgdHDxO8cDJJ9/rq1+1YXPzANbu68n1W2EwGBZGrXhVgqxMMc+rdQjKldf+7BWvj3/ehF3tflSXuHDbmaPgdHAo9zkBJLcNyAvszc39eGljq+nvNRew4lUDHQNh9Id4ODhgRKUXl06vBQA8ta4J4QjzJhF6guLdYHWpO2apgqjT/lD++IRbesUcxhD7/hkMRhL0Fa/iuZJ5Xq1DMEe2AdIkfvmMeqrSV0T3IS3Fqzuqtj7wyUE09wTNfKs5gRWvGtgbtQzUlXngcTlwzuTBqCpyoaknhLe3tuf43VmHYPSE63XG7lZFJHEgT9SECC+gtU/sOpUvKTEYDEY8HbR4TR1tJBWv7LxiFYLh3NgG/NGVyjKvkz5W4ROL12S2AfIeTxxTgSn1xegP8bj3g/0mvtPcwIpXDeyPWgYaKsXsWa/LgYuOEtXXJ9Y0gWdd9ACAUNRo43bG+msk5TU/Tsjt/WJgNcCUVwaDkRxSTFRpUF49UdtAkBWvlkGuvPYEIghlSbDwR/cBn6xPhNgGegIRmoAQj3x/u/G0EXA6gPd2dOHDnV0mv+PswopXDeyNJg2Q4hUALji8GqUeJ/Z0BPDRrvyOpNAKOcg9cU1ZRe78ynpt6pGy/oKseGUwGEkgxUSFz5nimTLllZ1XLEP8Ob5zIDv2NyL2xBav0g1Qt4p1QG5TGVtdhEuOqgMA3PPePvQH88e6x4pXDcQrrwBQ4nXigiOqAQDvbMuvO5p0IUvonjjltcgtnrTzpXht7pX8Q8w2wMgH1u7pwDn3fYI1B/py/VbyjvQ8r+y8YhXiVfCOgewMKiD7gDzRyOXgqI1AzTpAimuyvy04th5Dyz1o6g3h4c8azXzLWYUVrxrYq1C8AsCo6Izqvjy6m8kEsoTuifO85pttoLlXOnkx2wAjH/jvFwexpakXb2xhq0hGo8c24HWytAGrEa+8ZitxwK9QvAJImTgQf7Pkczvws5OGAQBWbOsw5b3mAla8poAXBJny6ov5GesMjYXaBuKV1zxr2IpRXvPkMzEKm33t/QCArS3+FM9k6KVDh/LqYcqr5YhfXctW05aS5xWQmrbUBhUoKf1EaMuX1U+AFa8pae4NIRgR4HQA9eWxYfQkk48tHYsQFdKtorwO5ElUVjPzvDLyjH0dYvHa3BdGexazLPOdcERATyB2GTcZTBCxHvHfRbbisshKZfxgn1SJA53+xOKVFMD5svoJsOI1JUR1HVbujZkWBUjL40F2ogEgb9iK97zm14HTJFNemW2AYXcEQcC+9gH6783N/Tl8N/kFWdrlENtsowbzvFqPxIYt84vXCC/Qv+uLu54msw3wgkAbuZSK1xAvqKYU2A1WvKZgb0di0gBB6gxlJxpA3Tbgy7O0gZZeufKaH5+JUbi09QVjVkW+aR5I8myGHqSkAZemEZ1swpb1iD/HZ8PzKq8pSMMzIdmggh5/hI6GrZTdLMnV23yxurHiNQVkLOxwheKVFGls6VhErWGLeF79eXDQhGUDCgD23TPsz/6O2GJ1MyteDUNP0gAgDXhh5xXrkNCwlQXlNRCS/mb8SqbkeU20DZD3VupxwiUTkeS/w58nK8WseE0BsQ2MqPIl/Iz5k2IJqdgG8kl5be8LQb7qkq3AagbDLEizVqlXvChuaRmAwAavGILu4pXZBiwHUSpJTm82orKI0ON1cXBw8cWrum1AbX9zcFzeqfqseE3BPpWYLIAt8cQTVFNeo8se+eB5beqNPXExhYRhd0iz1snjB8PlALr8ERzszr9Z6LlAf/HKrilWg5zj68rEhu1s2AbUkgYAmfKqULx2KfhdCb48WgEFWPGalDAv4EB3suJVWuJhSoU0HjZxSEH+KK8tvbEXddawxbA7pFlrdHUJxg4Sz3PfNGlv2vrXmkYsWbGXnQMVIMu4VcV6lVe2La0CKV5rS8XiNRsNW0mL1yL1tAEpli1xmhsrXguIxu4gIrxYjNWUuhN+7pUpjKyIkYzt8VFZ+VS8ktGwJR6SNGH/z8QobPZHlddhlUU4rFq0R33dpH3S1r8+b8J/N7WhsSc7k4fshF7llaxaMeXVOpDrWn2ZWAP0h3jTvx9y8xI/oABInjaQbH/zuvMrHYkVr0nY1yklDcT7ToBYbydbPk7ieaV3fPbPeSUDCoZViAoV+94Zdoc0bDVUFWFCjVi86lFeiZLDUlcSkdIGEpUwJVh2uPUgxV5VsZvGZZqtvhKLXSrbQPxqR1eS4pUprwWE2lhYgsvBgaSfBFgRQws5bx4rr2Q07PBo8coUd4ad4XkBB6LF6/CqIkyoFvfrLc0DmvIgI7xAGxhZvZUIa9iyP/S65uLoiF+zEwcCKqNhAal4jfBAfzAuxktD8Zov+xYrXpOwP0lMFgBwHMcGFcgI0glbymkD+dCw1dwjKq9kn2BpAww709TjRzDCw+ngUF/uxfAKD4rdDvjDPPa0px4VK795YzdyiVDPq+7ilW1Lq0BUcI/TQYvCjn5zLTIDNG0gsUTzuR1Uoe+Msw4kU169VHnNj32LFa9J2NsRjcmqTIzJIrBlHgnJNlA4yitT3Bl2hjRrDa30weV0wOngcFhNEQDgaw3WAfl5L18m9xgJU17tDxGmPE6ONt6ZbRugnleF4hVQTxxI6nlltoHCYX9XcuUVkE/ZYidu1QlbrmhUVpi3dUdymBfQFr3jHsaUV0YeQDJeG6qK6WMTa8Xi9RsNTVtytTXCitcYYkd1Jjb8KsHEEOtBlVeXTHk12/OaxDYASMVrd9ygAlq8Kowi9rmjMWx5ICIBrHhVJRDm0RjNOhxRpV68EtsAWzJTL16J8soL9m5waosOKHA6pM5T9r0z7Mx+md+VMIkWr1qUV5ltgBWvMfT4IyCbRym6SAlmG7Ae8uta1j2vKsqrWuJAJ8t5ZRzsCkAAUOx2JPUrSaHS7GSjNh5WfvdoZ+sASRqoKfGwjF9GXkAGFCgpr9vbBlIuX4d5mW2A3cjFQAqJUo8zIT5QDWYbsB5Sw5aD2gbMHlRA0wZSKK/y4nUgFKF1SPKGrfw4TlnxqsJeOhbWC04hJovgoUUMO9moRWW5HBxVY21dvEZzLOvK3DFNaUx9ZdgVahsYJBWvdaVuVBW5EOGBbS0DSV8vV16Z5zUWvX5XQFq1CkYE8Oym2BKQLG9ReRVX3MxXXlN4XhUGFZD9zePk6GqnHJLzmi+Rdqx4VSFV0gCBxELZeTncKIK8svIKyBMH7Jv12kSU11J3zGdkxSvDrtCM10GSbYDjOEyqE4vZVMMKQqx4VSWd4lXeXc4SbKxBUNaITFZhzW7YSpY2ACjbBjqj/tfKIpei4EZtA6H82K9Y8arCPprxqp40ADDbgJyQiucVAIqiB86AjZfDWqJJA3WlnhjllanuDDsSivA41EUGFBTH/GxytHhN5XuVNyyym7hYkmVuqiEvVvJFIbM7QZkdTorKyq3nlTRkyYvozgHx+lSh0Kwl/135YklhxasK+1IMKCB4XEx5JZDlFSV/Vz5kvZLRsLVlHjg4jk5bYRdthh051OkHL4jnsOrS2PPcJI3Fq1wdZGkDsXTqzHgFRIsVOX0yQcQaUNuAK3tRWaSpSmn5HwDKfeq2AbWbJRaVVSBoLV5ZtIkE6Tb2uhSU1zzIeiUNW7Wlou9J7k9jMOwGadYaXlUEhyP2mJ1UVwJA9P73BNQv1PKEAZY2EEs6tgFAZkXLkyLD7sgnR5Lv0h/mTb2WkRsXNdtARZG6bYAU2PEw5bUAGAjxaO0TVbaUyivzvAIQVRdyTCgqryTr1dbFa1R5LfUAkH/39v1MjMJFKeOVUFnkwtBycT/fnER9ZZ5XdUjxWqExJovAssOthTwqq9jtoKKFmeprOmkDdH9TsQ2Qhi02YSuPkXftlavsCASWyyciVwkUPa9ue3tewxEBbX2keBWVV+J7ZbYBhh2hMVmyZi05IweJfn9il1FC7nlltoFYiC9Sj20AkK4pTHnNPaIoIzVscVx2rAN0SIHCKiYgG1Igtw0kyXgVfxdTXvOe/uhdT7E79R0zWzoWkauP8eNhAal4tavy2tofggDRk0ZOXm723TNsDBkNq6S8AoDXmdoSFTOkgB0HMaRtGyBNwGx75hz5/k2u9dkYVKB1SMFAiKc3Oak81j7aXG7Pa3A8rHhVgHhZij2pN4+XNWwBkA4IBwfayCSHLH/02zQqq7lH8rs6ojEkHuZNY9iY/dTzqly8ujVMDwwz24AqUvGqbTQsgQ0qsA7yfZ+IMiTrtdNv3rWMLO37VAS0Uq8T5DLbFX0fkk1FpXh159cqMSteFSDFq1qnnxx2ohGRBzkrYXfllfhda0qlCxEZxsAUJ4Yd2aeQ8SrHQxXAZMqrbMIWK14pgiCkrbySm+J8KTLsDBGlnA5JlKnMQtZrIIVtwMFxssQB8X10sbQBxkBUHSzSYBvwsgIGgHSwKQ0oAKS7PrumDZCkgboyD33MrWFZlcGwIv5QBC090UQVFeXVo0F5jW3YMvAN2pz+EE/TF/R7XvNredfOkHO7V3Zdy6rnNYmAVhG1DpD30ZHSNpBfQhsrXhXo12MbIHfJBV+8igW/W015tfldn6LyquHizmBYEWIZKPW6UFmsvKytpSExZjwsOw4opKDwuRxJCxAlvGzkuGWQDygg0EEFA+bYBnhBSBmVBcQmDoQjAnoCkejjyqKbpLzmx3HKilcFqOdVw0nHw040AFLbBmyvvEY9r3WlTHll2B/SrDW8qkhxlCSgbf8OMduAIulaBgCWYGMlpNGw0jFi9ohY+feu1rAFxA4q6I5mMXOyx+MhvyssS1CwM6x4VUDyvGq3DRT6HOpAkulagLQt7ep5bUqivBZ6sx7DfqRq1gLkYflJbAM8a9hSIrPildkGrEIoifJqXvEqfe9JbQOyQQUdsoxXp0LDdPzvyod9ixWvCqSTNlDotgH5CD0lyF2fXZXXFgXPq4flvDJsSqpmLUCbbUD+MzZhSyKV/zAZ7JpiHRSV12Jzo7ICtGDmaLKNEnLbQJeGgRjyVdF8UPVZ8aqAnrQBlvMqojltwIZ3fKEIj7Y+8eRQK1NemW2AYVeSTdciaNm/5ec9NqRAwgjbAIvgyz1KnlcSldXlj0AQjN/nAzQmK3n9QbJeu/0RTfsbx3FS01Ye1CuseFWgP6jHNsCWjgF52kDy4nXAhjmvrX1hCADcDi7m5MBsAwy7Ik3XSm0bSK688rL/z44DQrqjYQGZXYNtz5xD0wYUPK/BiECbu43En2JAAaGSKK8DYc1Kfz4lDqRVvN5///0YNWoUfD4fZs6cidWrVyd9/r333osJEyagqKgIDQ0NuOGGG+D3+9N6w9mAjDDVYhtgQfUi5CBXi8oqsnHDFonJqpENKABYzivDvtDpWhpsA8kbtpjnVQnmec0PlJRXn9tBr2ddJgwqoAMKUhSvZBhBZ4xtIMU4ezfZt+x/rOouXp999lksXLgQixcvxrp163DkkUdi7ty5aG5uVnz+008/jRtvvBGLFy/GN998g4cffhjPPvssbrrppozfvFkM6BgPSxu2CryAkRq2kpvF7diwRWKyamVJAwCzDTDsSbc/hK4BcZ9O1rDl1qAAsuJVGUkJ0zddC5ASbPKhwLA7QZn/VA5t2jKheA1oyHgFYtMGtN4sFbTyes899+Caa67BggULMHnyZCxduhTFxcV45JFHFJ//ySef4IQTTsAll1yCUaNG4YwzzsDFF1+cUq3NJf1BcYfUEpXFzPUi2m0D9jto6GjYstgLEct5ZdiR/VHVtarYjVKv+sVOS0Mii8pSxpCoLHZTnHNCYdKwFVsLSHFZZhSvGpVXX2LaQKr9LZ+yXnUVr8FgEGvXrsWcOXOkX+BwYM6cOVi1apXia44//nisXbuWFqs7d+7EG2+8gW9/+9uqfycQCKC7uzvmv2xCG7a02AaY5xWAvGFLZcKWKxqVFeZNMbmbiaS8xhavVHnNg7tYRuGgxe8KaMuwDjLlVZGMildn/izt2p1Uyqs5tgHis01VvIrvoccfQUd/dH9TyXgl+PLoxkjXkdXa2opIJIK6urqYx+vq6rB582bF11xyySVobW3FiSeeCEEQEA6H8eMf/zipbWDJkiW47bbb9Lw1Q9GV8ypTJ/gCPnmnsg0Q5ZUXxBOCnToF2/vF4rW6RFl5LfQbF4a9aOwS+w2GVqj7XQH5zZlG2wA7DiidBkRlsZvi3CNFZcUpr8Vm2gb0pQ0IAPZ3iaOetSqv+XBjZHoN8d577+HOO+/E3//+d6xbtw4vvfQSXn/9ddxxxx2qr1m0aBG6urrof/v27TP7bcbQn8aELaCwvY8pc15l29JuvtcuvxQALYflvDLsCLFFlSSxDADa9u8gsw0kEAjzVADJzDbAtmeuIcWrN06UqTLR86o1bcDtdNAahawOpvS8uvPHNqDryKqurobT6URTU1PM401NTaivr1d8ze9+9ztcfvnluPrqqwEAhx9+OPr6+nDttdfit7/9LRyOxC/I6/XC6/XqeWuGks6QAkAsyspMe1fWJhAWD2KPwvcJAC4HB7eDQ4gXMBDmUaxS5FqR7ugJqjxuZrQU4m6vYpxR2PijcXWpbFFSw5b6/h1mtoEEiOrqcnAo0XANiUea2sjOK7mGpujEFZKV2fC8ahDPKotc6A8FE96XGr48Gmev68jyeDyYPn06VqxYQR/jeR4rVqzArFmzFF/T39+fUKA6nVG524LeR0EQdNkGXA4O5KbMH7ZfhqlRpFJeAelimTfKK1NIGDaEFK/Eh66GNuVVXrwa8ObyALnflUsyIUkNprxah5CK55WkSHT6jZ+yFdCovAJS4gBBe9qA/fct3WsaCxcuxPz58zFjxgwce+yxuPfee9HX14cFCxYAAK644goMGzYMS5YsAQCce+65uOeee3DUUUdh5syZ2L59O373u9/h3HPPpUWslfCHBZCvVYttABCLmIEQnxfxE+ki5bwmKV5dDnQjgv5QBID1vns1JOVVzTZQuN87w34MUOVVW/GqNeeV2WdEMhkNC8h9iey8kmtUPa9mNmxFtKUNAFLiACD2laRq8vLaeNJlPLqPrh/84AdoaWnBLbfcgsbGRkybNg3Lli2jTVx79+6NUVpvvvlmcByHm2++GQcOHEBNTQ3OPfdc/O///q9xn8JA5F+qFtkeEP0wAyEgYMPpUUYRCJGGLfVtZses12BE8q8l2gZYVBbDflDlNcXKkpb9W17YsvGwIpkkDQCym4Y8UMfsjlraAG3YMsU2oC3nFYgdSqBlf/O58ifJIq2j6/rrr8f111+v+LP33nsv9g+4XFi8eDEWL16czp/KOv3UMuCImaaUDPGuLFLQd8qpcl4Be2a99kTvrB0cUOqNvdhLypT9TwSMwoEcf6mKVy37t9znyjyvIpkWryzn1TpIDVvKntcuf8Rw+yNppvJq6AuRrwZq2d/ySdW3U2JRVvCHxB1Hq2UAkDoR7aQoGo0W2wDNerXRduoOiMVrmdeZcDPjYTmvDBsyEE0bSOXpJ0ulYV4Ar3KBlhe2IVa8ApCK11SjOtXIpzgju6NmGyCFYkQAegPGqq96PK9y20CqjFf578yHfYsVr3HoadYieOjUigK2DaTIeQVkyquNij01vyvAbAMMe0KSQVKnDUjHsto+HmK2gQSM8ryGeYFt0xyjJsrI/x00+LpPCssiLbYBncorKV79eXDNYsVrHP06YrIIRHkN2khRNBopbSC/PK9EeY33uwLMNsCwJ0R51Zo2AKg3bbGGrUQytw3ItzvbprkkpKK8cpwY/QgY/x1pnbAF6Pe8koatfFgtZMVrHGTH0XLXQ5CUV/vvEOlCPa+O/PK8dqvEZAEs55VhT0jagC9F2oDLkVx5FQSBjYdVwCjPK5Af3kQ7o9awBUixkAGTlFdNDVsyUaWiKPVqMbMN5DF0QIEe24DTnJ3YTgS05LzaMKZDbUABIJ/9bv8TAaNwoEMKUpzjOI5LuroQf8/GileRph4xNL621J3imco4TFT1GPqgDVsKKij5jgIGizFaJ2wBsaIKyZ5Nhi+PhDZWvMbRTxq29NgGXPZbDjcaahvQEJVFxlPaAWIbUFJeteRgMhhWw68xbQCQjmelZcb4/Z4XoNrYVSgEwzxaoqM6h5R70v49XnZjbAmSK6/mTKuiyqvOIQWaPK/u/BmAwYrXONKyDVDltXCLGGJaT9qwZcO7Ptawxcg3BjQqr4DcGpO4jys9Vujqa1NvEALEwiPdhi1A8r3mw/KunVFLGwDMu+6TwlKvbaBSg20gn5IsWPEaRzppA/REU8hDCjTkvPps6XlN3bDFC+yizbAPWm0DQPKmRKXHbHRfagoHu0TLwJByT1qjYQlmqXoMfaiNhwWkGzuji1c9toEit4M+b1BxatuAdFNk//0q/VvDPGUgnbQBGyqKRkNOsskmbJGLpZ3sFVLagJJtQPqswTAPV4oGGAYj1wiCIDVsaVB2SBGl1JRIHnM7OJrxWug3cYd6pOI1E0gofj4s79qZZHa4ZJaadBEEQVfDFsdx+PnJw9DYE8RQDfuc5Hm1/37Fitc4BphtIC00Ka8uOyqvJG0gsTDVkoPJYFiJQJgHsaWmShsApH1cSWUlBavP7UA4EIEAIFzgx8GhqPKqpZBIBlHI2IjY3CI1bCl4Xk247suFHS1RWQBw/tRqzb9fShuwzzVYDWYbiGOATtjSYxuI7hAFahsQBEGW85pfaQM9SZRXp4MDqV9ZYwXDDsg7o/XZBpSUV3Gfdzs5GqtV6Mrrwe4AAGBIuTej38NGxOaecIQHOa0rK6/GT1gckNUQWmwDeiFqbkSwf8QjK17jSMc2UOjKqzg+Uvz/WtIG7GQb6PKTtAHlCz2xSTBvGsMOkIujy8EltfgQkjUlSlYhjiq0hV68HuqOKq8VmSqv+dNYY1fk53QlUcZjgopJ/OgeJwdnksz0dJGruXa6DivBitc4MhoPa/OdIV3kB28y24DdhhQEwjxVVMu9yg4bclJjtgGGHZD8rtrOb8luzKny6nDQC22B3r9TDnYb5Hl1qds1GNlBvs8r3ejRLF4D893JtVGrZUAvHicHcoX223ylmBWvcWTiefUX6JCCYMxBrsU2YI/tRJq1nA51JZ5lvTLshF938aquvMptA+S4jxSw8tofjNDpWkMNsg2w4jV3kOLV6YidNkfwmHCDQY/PJPa7TOA4TtZ7Yo/rsBqseI2DeF5L0kgbKFTbAJks5nKI02HUKKJDCuyxnbr94vss97pUY29Y1ivDTtCMV43nt+Q5r1KTJrm4hwq4eCVJA2VeJ0q9mSWP0OK1QK8pViCQJGlAfDz9iExe5Tghx6dZyqv4u6NiGyte84u0cl4z2InzAdIEkszvCgA+VzQqK8xDsMEknp6g+nQtgtsE0z6DYRb+IFF2tJ3f3ElWFoJUeXXQ4rWQlVejkgYAecNW4W7PXBMkS/gqq4lEuNArWm3Y14kjb3sbj3+yO+FnA/T4NLN4tZd9Tw1WvMZBbAPFemwDBa68yhs3kkGUV16wx3JYsgEFBK+TLe8x7AOx7BRpzCROtnwdkzZAFNrCPAUCMC5pAJB3srPzSq6gyqtKIZmuZWztng70BMJYuaU54Wd6MpjTRRpnb2+xjRWvMiK8FBCsx/NK7swKtmErpK14lR+QdojL6glEbQMalFdmG2DYgYGoZUer51WLbUAelVXQyqtBSQMAU16tALHDqTUhp5syRFbp2vuCCT+TGrbM8bwCkp+WeV7ziP6g9GUW65iWJCmv9t4Z0iUYSX6QE1wOjnZo2qHQl6Zrqe8LyZZVGQyroTdtIFkUXFA2OpMc14V8E2dU0gDA+iisQKrBO+lO2CI3fW29icWr1LCVDeXV3vsWK15l9AXFTlEnl7oQk+NN8w4sX6DKq4ZcOqK+DthgW5EBBck8rx5mG2DYCHJx1Lqy5E2ivIaVPK828LKbxaGobcAYzyuLyso1/lS2AVdmymtrbyCh9yMbDVtS3rq9xTZWvMroD0gndrXuciVYzmvq0bAEGpcVsv5JWbINqKtUHmYbYNgIqXjV2bClcIEOKnleC/Q4EAQBB7uI8pq555V46ZltIHcEQslXFIlYo7t4jSqvgTCPvmBsASk1bJlnG/Ay20D+QWwDevyuAFNeyedO5XkF7DUitluD8sombDHsBL046rYNaPW8GvEu7Ue3P4L+qHhhpG2ApZjkjmAq20Ca35H8+e1x1oFsNGz58kRsY8WrDGIb0BOTBTDPaypjuxw7Tdnq0eB5ZRO2GHaCpA3onbClPB6WeF4l20ChjoclftfqEpchS75mBOAz9KE151Vv8SoXuVr7AjE/IwVlVqKygvauV1jxKqMvTeVVfoIvxG5bPbYBki9pj+I1ddpAuicwBiMXkLQBrVFZVF1SkFRJoSqfsFWoxeshA2OyADZhywpIUVlqOa/pNevKrxXxTVtsSIF2WPEqoz9AlFedtgHZjlaI6msw720DydIG2EWGYR/osqTuIQVKymuibaBQi1cjkwYAedpAYW5PK5BaeU0vEUJe7LbHK69ZGFLAxsPmIUR51TOgAIhVHO3uI0kHXcqr2x5+G0EQZLaB1Morsw0w7EBA53hYaf9OPF5DcttAwSuvxk3XAmR9FIVqIrYAqaOySK+LviIwJLcNxCmv/VR5NbNhyz4CUjJY8Soj3YYtp4MDuVFiymty7KK89gUjIG9R03hYdpFh2IAB3WkD6isL5DGXQ668GvEu7cfBLhKTZbBtgCmvOYP2cqgUkulaxuTXinjbQDZyXmnDFvO85g99adoGAGkJweqKohlIDVupt5vPJnOVuwZCAMQTVLK7YJbzyrAT1FNnQMMWUWPFIQXicVDoyqvhtgF2XskZwVS2gTQHScR4XuNsA+S6aO54WBaVlXdQ24DGJTU55CRvdxN0OuRjVFZnv1i8lvucSTN/ky2rMhhWQ2/OazJ1KaSQ81qIxSsvCIaOhgVYVJYVSGUbcFPbQAZRWX05VF4tLiClghWvMvpJVFYaO443zWkb+QC9Q9UxYcvqB05HtHgt8ya/yLOGLYadIMqOEbaBEIvKAgC09YUR4gU4OaCm1KjilXheC297WgWtnlfdUVkRdc8ria/KhueVKa95BJmwVawxRkaOu6CVV/Ez61FerT4eltgGkiUNAKxhi2Ev/DqHFCS3DUQ9r87C9rwe6hELkLoyD90OmUIKDF4AwmxVJyeQseeq42HT9bzGRGXF2wayobzmR63CilcZ6ea8ArJxfgV49k41iUQOUXys7nnt7BcvSGVe9WYtIP0pKwxGLhjQmzYQ3b+VbDFBmee1kJVXo/2uQGz8otUtVvlKquE76U5XDMqautv7ghAE6ZjJTs4rU17zDmnCVvq2AbvfzaSDHs+rXfw2nQPivpBsuhaQPAeTwbAa1FOn2TagvnwteV4d0pCCAjwODvWIqzRGJQ0AsQVToACvKVZA64QtvcOJ5MVumBfQHb3WANJ1MZ0aRCtemzRNp4IVrzL608x5BdI3b+cDdHlFV8OWtS9yRHktT+F5ZbYBhp0Y0Fm8Js155QX6HCdTXjHEoGYtAOA4TmoCLsBrihVItaIoj9DSs/IWirv2kRGxgiDIlFfzPK/ENmD3myJWvMrIJCrLW8CeV/mknVTYpWGLeF5TK6/qy6oMhtXQmzYg7d/qUVmFPh62scfYAQUEKcGGnVtyARGi1ApJj0OqE/QUr/E2A5L1GgjzIA6C7EzYsvd+xYpXGekOKQBk0zYKsHhN5Q2SY5eGLZI2oFV5ZbYBhtUJR3hahOqOyooIMd488hgAuAt8SMGhbvFcMcRA2wAgm4RUgNeUbPHVgS7c9PJGtMY1TgGpbQNOB0D68/QMJyKFbnWpuL+QEbHy79mrITM9XfJlv2LFq4y+QPq2gXQDi/MByTagfUiB1dUESXlN0bDFJmwxbIJ8+blIY6KK/JiOV19jPK/Rq7ge718+EOYFtPQRz6uxymshxy9mi4c/2oWnP9uLVzccTPhZKlGG47i07IKkeB1S4QMgxWUR8czlAM1NNgOy+hnmBVuvGLLiVUZGDVvMNpC3QwqSkWxZlcGwEgOycZBau5nlx3Ri8Sod907ijS2w4rW5NwReEAvNQcXJb3T14nXmh0JmZXr84jW/pSeJ8prkWCHZ5lqLV0EQ6PWSFK/ENpCNmCwg1gZh58QBVrxGCYblS2oZ2AYsXpSZgb6GLbEY9If4hGVIK9E5oM02wNIGGHZBShpwJJ0aJ0devMavLkhDCiTbQKEpr409YvEzpMyreZtqhRRNVr/RtzNEXW3vS2YbUP9eJeVVWxEoP4Zo8Rr929kYUACINh9id/AHWfFqe8h0LSDN4jVPfCTpQJVXDQHdZNtGBOuqlTwvaG7YomMcbbz8wigM9DZrAYCD4+hxrcU2UGjKa2Mv8bsaaxkAZLaBArymZAtyTLRHrR9ytOSXU/FC4w2G/HlDKosAAG3REbH+LGS8ArFJFgWnvN5///0YNWoUfD4fZs6cidWrVyd9fmdnJ6677joMGTIEXq8Xhx12GN5444203rBZkAEFbgdHl4L1UMidoeTk6tFwx+iT3RhYNS6rJxAGuQanHg/LorIY9kBvTBZBbXWBNmzFKK+Zvkt70dhjZvFauH0U2YJcr5Mqr8lsAzpXXGOKV2obiCqv5Pg00e9KyIdBBbpNOs8++ywWLlyIpUuXYubMmbj33nsxd+5cbNmyBbW1tQnPDwaD+Na3voXa2lq88MILGDZsGPbs2YPKykoj3r9h9Edjsnzu9HYcj87lg3xCz5ACl0NUckK8YNnlMJLx6nVxKe+CWcMWwy5IAej6ileP04H+EB+zj/OCQGOx3E6ONpgUWlRWl1883w8ucRv+u70FLIhkC6J2knQZOVpsAx6dkzXpSGUHh5po2kBbXMOW2corIGa9dsHe+5bu4vWee+7BNddcgwULFgAAli5ditdffx2PPPIIbrzxxoTnP/LII2hvb8cnn3wCt1s8wEeNGpXZuzaB3mjxmk7SAFDYyitdXtE419vndiAUiFhWee3UGJMFSA1bEV70+zkNmm3OYBhNpsqrfHVBPknL43QU7HhYMnnMjCYbyfNaeIJItiDHRFtcVFY4wlP/thm2AY/LgUGlolrfHmcb8JnseQVkymuheF6DwSDWrl2LOXPmSL/A4cCcOXOwatUqxdf85z//waxZs3Ddddehrq4OU6dOxZ133olIRH2jBQIBdHd3x/xnNuSuJ92TkBRrYt+dIV30KK+A9RMHOqLKa5k39b7gSdKNzWBYCXKh8um8QSd2ILltQL6vF/KQArJNzGiykbLDrXmezAeI2NTtD8fERsmV1GQRkHpXXIMRYrFzYHBJNOe1P4gIL8gatsxXXvMhHUnXVmptbUUkEkFdXV3M43V1dWhsbFR8zc6dO/HCCy8gEongjTfewO9+9zvcfffd+P3vf6/6d5YsWYKKigr6X0NDg563mRZ9GSuv9sgvNRqeF3RFZQHWn7LVpTFpAIg9sTHrAMPKkAus1oxXAtnH5eqSfF+Xe14tej9qGkENvsh0yZcweSsjb4YjogUQW7wmu67pvcGQDz6oKnaD4wBBEP92NkbDEsjfsLPn1fQSn+d51NbW4sEHH8T06dPxgx/8AL/97W+xdOlS1dcsWrQIXV1d9L99+/aZ/TZpxmumntdCO9HIL2JaorIAoIguh1lTpemILuNoKV6dDoB8aqa8MqzMAJ0gmLltgPx/ccoQV7C2AUl5NaN4jV5TCu2OIIvILRkdssQBcqPnciCpFcyts+chSFcpHXA5HagqFq0Dbb3BrOW8yv+GnW0Dujyv1dXVcDqdaGpqinm8qakJ9fX1iq8ZMmQI3G43nE7phDlp0iQ0NjYiGAzC40ns0vR6vfB6jR21lwoyXasoY9tAYZ1otC6vyKFZrxbdVsS8r8U2QKasBCMCy3plWBqq7KSdNiBXXokfUDxGaMNWgR0DwUhqX2S6kCEFLCrLHCK8EHNDJuatlgHQPjVS71h4UrySm51BJR609wXR1hfIWs6r/G8UjPLq8Xgwffp0rFixgj7G8zxWrFiBWbNmKb7mhBNOwPbt28Hz0olv69atGDJkiGLhmitIzmu6tgF3oSqvsgJUa90veV6teaHTYxsAWNYrwx6kmzZAiij5zZk8aQAAU16Z8mo74q/VscqrNiscyTfWrLxGYm0mg0tkymuGfTd68OTB9DbdW2nhwoV46KGH8Pjjj+Obb77BT37yE/T19dH0gSuuuAKLFi2iz//JT36C9vZ2/PznP8fWrVvx+uuv484778R1111n3KcwgN5Aes0MBK+CL6wQIMsrXpf2qT1kGw9Y1PMqNWxpu8izrFeGHRhIY0gBIN+/Ez2vRHlyF2jxSoocrwnKKylwWMOWOcSrjvKsV3JdS6Wou3V6XuM90tU0LiuQVc8rSTSwc/GqOyrrBz/4AVpaWnDLLbegsbER06ZNw7Jly2gT1969e+FwSAVgQ0MD3nrrLdxwww044ogjMGzYMPz85z/H//t//8+4T2EAJOc1nelagOwu2cY7QzoE4pZBtGD1tAEalZViuhZBr++JwcgF8vGwenArKK9SXmWcbaDADgFTlVeymleACTbZIP5aTSZdAdpvSjw67YKhSKwdYbAsLmsgSxO25H/DzrYB3cUrAFx//fW4/vrrFX/23nvvJTw2a9YsfPrpp+n8qazRR5sZ0rvrkWYcF9bZO51uW5/FG7Y6dURlAZLqzpRXhpVJZzwsIN2Yy/fveK8nKWIjBaa80u1gYtoAU17NIT7tpkNevIZiVxbU0GsbiJ/aNShqG2jtC0o3l1mZsBX1vAbtu2+lVbzmIyQqK+2GrQL1vGakvFr0pNyp0/OqN6iawcgF1FOnMypLaWUhFBePRzyvoQItXs3MeWXKqzkkV16j4+JTKa86m+rixZ7BMtuAdC1lDVtaYMVrFNKwla5tgBqgC6yAIQet1qQBQJbzatFtRe7AtXteE5dVGQyrIUXx6C1e1W0D5Gfk3pUXxOznQiEYjk1dMBIp59Wa50m7Ez9YQCnnNZWi7tG54hqMsw1Uyxq2SCRXVsbDFmLDVr5Co7LSLV6jdzIRXkC4gLyP5GDUc8AR20DAgraBCC+g2y/eyGi1DXhYwxbDBtC0Ad1DCtRzXmnDlqx4KxT1lecF+lnNTBtgUVnmEH9T0NabqLxqbdjSOx7WHWcbaJfbBrKpvNo455UVr1HIkIKiNHccubHbqoqiGVBvkI6in3q5LFjskZgsQLvyKo3PLJzvnWE/0vW80glbCmkDrjjbAICCuXmPzbg2wzZg7RUqu0MKN1KAxiivGj2vupVX2ggWaxtojUkbYA1bWmDFa5S+DNMG5N6YQrpTjl8G0YKUi2q94pU0a5V6XTEX5GQw2wDDDgyknTZA1CV15dUlO/8VygpETPHKxsPaDuIlrq/wARDVT0EQ911pjKvGqCydxasUlSUqr93+MLoHolM+s6G8Ou3veWXFa5RMbQMOjqM7ZCHdKUs5r9rVHLJkYcUGJzJdq7JIux2c2QYYdkCKykrXNiBv2Ir1vMqv8WHeese1GZDix+mA5htdPRTq1MZsQWwDQyuKAIj7dG9UxNLesEW+I40NW3FDCsp9brrvNPX4AWRLebW/JYUVr1H6MmzYAgrzTpkur+i4W6QdmhYs9roGROW1slj79DeW88qwA+kPKVBo2OJjlVeO42hsUKHcxAXiloCNhtqrWPFqCuQ6XVnspsdEe7RZ1zTbQNxKpcPBoSrqe42KvllKG2C2gbxAEAT0R/0v6Y6HBWSNSAXUHSo1bKWhvFrwIkdGBFYUuTW/xsNyXhk2wB9MU3lVyHklKqxccaRxWQVyEyclrZhTbMjjF8lyNsM45CsR8sYpQG4bSF4PpNuwJbeZkBGxhGyMh/XlQVQWK14h7qgkXDsTvwlVXgsol48U6nqWOqysKJCM18piPcWrdW0QDAaB2Jn0pw0oNWwlRkSR/xsukJu4dDKu9UAKHF5gN8ZmQL4/n0upeNU5HjaD4pWMiCVkJ20gqrzaeEgBK14hNWsBmd31eKOKRiEpr/QgT6N4taLy2uMXi9cyn3bPK2vYYtiBgWC6toHElRLJ88olPK9QlFe/xqXldPHEJNgUjiCSLejQDrcjifKqcUiBVs+rkvJaGqu8ZtPzameLIyteAWoZKHI7aFBwOkjh+/bdIfQSTEN9sHLxmo4vkDVsMayOIAiytAEjGrZiJ2wBkm0gXCA5r6Yrr04OZOvauciwKtQ24ElUXsnPUjVs0fGwaXpeASnrFRCPITOa/+LxyTyvdrWksOIVoB2GxZ7MBo4R36edO/jUWPTSl/jO3z9OuMPU6g2SI5ncrXfQENVcjwJP7qILRXFi2A/5sqbeqCwlT3dIwTbg0jnn3e6Y7XnlOE46VxbQal62ICKTsm3A3JxXNduA3hvLdCF+6ggv2FZ0YcUrpNGwxTq9YPH4LOzlzJSX1x/A+r2d2NbUG/N4OuqDpLxabzuRO26vjpMI9T3Z9CTAyH/kyp3eC6Rb4WYzqGAboMprgRwHWkeIZoInD5Z3rQqxfSg2bGm0hKTdsCW76ZM3bGVag2hFng5k16YtVrxCyngt8WamvHryNCorFOHpgd7SG4j5WToncFK8hnnQRjmr4E8jyF1pWZXBsBIDsmVQt85oJ822gQI7Dvwam3oywUtn0BfGNs0m8nN9ug1bmea8ArG2Ab2rIunidnAg7gS7rhSz4hVSw1ZJpsoradjKM+VV3tDW0hNfvKbTsCWbRmYxf7A/DduAm0VlMSwObU7REWlHUNq/kyqvFrshNQt/GkkrevG49BVHDO3IldeqaK53e7++qCy5bUCLd1S5YUuyDehtpkwXjuPo32LKq43pIxmvBtkG8k157U1SvKbTsCU/IVhNUSBqih7bgJU9vAwGILtQp3GO8yjkMoeTeF4LRXnV6ovMBCnrtTC2aTYhNwQ+t4N2/Md7XlM2bEV/LgjabtqUGraqS+XKa3aKV/nfYsWrjSGe10xtA153fi7xJCteJc+r9oPOKeuotJpKTZeSdBXjhXXRZtiPdKdrAclzXpWU10JZgSDLrWZORPI4mefVLOSrEVR5TdM2IL4m9fk/tfKavZKM/C2yHewGK14hTxvI7K6Hpg3k2RJPrz+18qpnPCxg3Zw5+VKSVphtgGF10vFyE6T81sQJW8oNW4VxE5dO0opeaB9Fnl1TrABNG/A4adNUjz+MYJjXPPZcvv9radpSKl5LPE76b70DRDKBKa95QD9p2Mq4eM1P5bVHg+dVj/IKWLcRQUob0ON5te64WwYDkPbr9JTXxAgsaUiBdJwoFbn5jJ+uOjHbgB2R+hucqChy0wamzv6gZkuIg+NkaRypi0Al2wDHcaiOFs/Z8rwCUqFsNQFJK6x4BdBnkG2AqBr5przGNGyppQ3o7WC2aCOCfGSgVrwKy6oMhpVId0ABEJvzSppSpPGw0sXdSRu2CuM4yIryymwDpiFfjXA4OGodaOsLarYNAJKKqiWLV0l5BSTrQE48rzYdEcuKV0jFmVG2gXy7S9ZiG9CjVAKSSm1Zz2saymuhKE4M+yGNwkwnbUDcv3kBIPdnpECNGQ/rKKwViGx4Xq1qr8oH4i1iJLKqoy+o68ZEyROuhnrxmn3l1e4N5qx4hZQ2YFTDltUKskyRN2z1BsK0wQ1If0SiVRUFfxoKldSNnV/fOyN/IEvcmTRsAdI+Thu2ZKMsSc4r87waB/nd+XZNsQKBuHN9VYlMeQ1pSxsAZEKMFuVVwTYASIVztnJexb/FPK+2xyjl1eeyt4dEjR6Z8grEqq/S8kp6yqvVVGrpblx/9BdTXhlWxR+9QU+nIUR+ASf7uJLnlfzfwsl5JRnXTHm1IwNxq2yDZYMK9NgG9DRqqymvRw6vBABMqCvT8M6NgdzI2nXfYsUrzGjYsubOEAhH8MmOVt0+U7nnFYgtXtUOxlR4ZeHOVkEQBOmEpsPzKo0ILIyLNsN+xF+o9eB0cLQwJYqrpCAl2gZCFjqmzSSbnlcrnSfzgXCEpzdZRXHKa3OPH+T+S5vnVduIWEEQFCdsAcAVs0Zi9U2n4ztHDdX+ITKkyMOismyP8Q1b1jzRPPrxblzy0Gf41yd7dL2uN0nxmu58b2pyt1DDlvx7S0d5ZbYBhlVJxw4jJ34fDyXLeS0Q5TWQjbQBiwsidsUfc64XjwmivB7q9NOf6VNek5//w7wAMoTL64w9DjmOQ225L/UbNxBmG8gDjLINSF2H1twZdrb0AgB2tfXpel1PfPHam6i86vW8Ssth1in45J4lPdFfrGGLYXUyGVIAJO7jSrYBF32OdY5pM2FpA/ZFvj3JtYukDRzqkopXXZ7XFMWrXJnVK/aYARsPmwcYNh7Wre0OLFd09IcAAN0DIV2vI2kDZPs0dycqr/obtqwXvk3ei4PTdtIi0AlbvKBpvjWDkW2yqbyGC+Qmzp+FtAEPy3k1Bem7c4DjxG1MOv4PdQ0AEPdtB6cjKivFtUxevOq5vpiFj3le7U9/wCDbgMWXeDr7xdF3XTqLV6JMj64uASDZBsIRHpHoEqFuz6sFlVf5BZ7TcNIixHZjF8aFm2EvyHGWrvLqifN1h5J5XgtOeWUNW3ZDaZJivPKqdfXNo1V5jR4XDg5wmajWa4WNh7U5PC+gP3piKM4wY83qOa9pK6/xxWvUNiD3eOq2DRAlx0IqdTqjYQHlbmwGw0rQnNc0V5fcMktAhBdAdvPYtAEypKAwjoGATL0zC2mFyjrnyXxAKc+bxFXpXU30aLyWpdvcbBZet7XrlVRYYyvmkIFQhJqoS7wZFq8Wn7CVrvJKorLGxCmvco+o/qgs6ykK9ISm8+QSM9+6QFQnhr0YSHPfJki2ASGmOFVs2CqQG7isKK/M82oKSjYaUrwStBavmj2vKhmvuYIqrzbdt6yxFXMISRrgOH3xSEpYNbsUEGM6qPIal9uaCqq81sQVr9GD1engdC+DkLtPKykK6foCOY6TfK8FcuFm2Auyb6eT8wogZv+W36DF2AYKrGHLn6bfXw+kwJAPhmFkjpKNJu3iVaNoJSmv2ZuilQzWsGVzSMZrsdsJhyOzO2ipYStiucadbn+Y+lO7BkKa358gCDLPaykAoLU3AJ4X0k4aAGT5hRY6cOjFKIMRmkx5ZVgRf8ZpA1LDlvwGzSU7ZzoLrGErG8orLV4D1jlP5gO0YUt2PPjczpisd7NsA2be7OiBRmUxz6s9IcprcYbNWoC0JMcL1lPgiGUAACK8QBMWUhEIS2HOIwcVAxA9bR39sikkaRyMVlSplXxQWnHLllUZDKsxkGHagHRzJsSMhpU3NhZSw1amN+9aKXKL2zQ+a5uRGSRZJt5GUyVTX7WKGLptAxYpXpnyanP6o0VcqQHFq/wkZqUIKEBq1iJo9b3KR8NWFLnp0kpLbyDtmCzAmhO2JM9rOvPfmW2AYV3SbUYkyPdvUpzGx/24CqhhS806YTSSbcBa1xO7o3Y8DJYXr5o9r+Lv0NywZRXPq4cpr7bGqAEFQOwdVcBCiiIAdMiUV0B74gC54y/1uuBwcKgt8wIQfa9S8ap/21Hl1UJFPvnO0vEFkhNSIahODPuR6ZACcm6T2wbiL8KuArLOyBuozFTSiqK/uy8YtpwVzc6ojUuuSqN4JeNhtXpe3SbmAuuBpCvZ1U9d8MUruaMt8WSuvHIcZ9lxfp1xxatW5bVPVrwCQE1M8ZqJbYB4Xq1zoaNLSWnZBsgJjF1gGNbDH8ysYcsty3klxatLTXktgNUH2qzKxfp+jYYor4Jg3+VdKxJQsdEMykB5TXUty8ZENj2Qc4FdVX1rbMUcQpXXDGOyCFadstXRl5ltgMSI1ZRKxWtmDVvWU15pFmZGtgFrfe8MBpDZjRkQu38HqfKqZhvI/2OAiBNmWgYAwOfiQGzFzPdqHGoWsUHF8uJV35CCVCsOlvO8eqRaJWJDq481tmIOMVJ5BZB3yiu1DfjcAOKV1/QPRo8lJ2xlkjbAGrYY1iQkW+rPPG0gtee1EHzfmZz79MBxHLW0scQB4/CrWMQGlUrFq0fjjR6dsJXiWhayWFSWfCiT1eoVLRR88UrTBgzwvAKxcVlWIr5hS7vnVXxeWZxtoLkn04YtbR2a2SQTdYoU44Vw4WbYC/mFyYiGraCa5zX6z3ABrD5kS3kFJGGFKa/GIUVlxe7Dscqr3iEFKTyvFhtSIL/O2dE6YI2tmEPI3WyJAWkDgLRDWMnLCUgNW2QJSnvxGpvGIFdegxk1bFkw5zWDOCFPATWrMOwFUZk4Lv1YJ48s55V4WuOVV3mcVr5Db9yzUrza25toRaSorMw9r/JjIxlWy3nlOE6Ky7LhvpXWVrz//vsxatQo+Hw+zJw5E6tXr9b0umeeeQYcx2HevHnp/FlTMFp5JYWclbycANAZVV6HVhQB0GEb8BPbQFzx2ptpw5YVJ2xF41PSKMaZbYBhVeT+Pnkuqx5ic16VbQPSkALrHNNmkU3llfRj9DHl1TDUorLSa9jSJlgFs2Q10QO1pITst2/p3orPPvssFi5ciMWLF2PdunU48sgjMXfuXDQ3Nyd93e7du/GrX/0KJ510Utpv1gwKRXlt7xOV11HV4qAB7Z5X8XlEea1VVF7Tn7BlJa9NIIMhBSznlWFVBjIcDQvENmyF1JTXQvK8hrJXiDDbgPGoRWWlVby69TVsxR83ucTOiQO6j7x77rkH11xzDRYsWIDJkydj6dKlKC4uxiOPPKL6mkgkgksvvRS33XYbxowZk9EbNprCUV7F4nXEoBIA4rhYLVDlldgGSn0AxOKXJBFkoryGIoJlOh0lzyvLeWXkD5Lymn6hJXVUC7LiNd7zWkBpA+Esel699s7jtCJqUVmDS7z0/2tOG3BqE6yy1eSnh2IbDyrQtRWDwSDWrl2LOXPmSL/A4cCcOXOwatUq1dfdfvvtqK2txVVXXZX+OzUJo9MGrKq8koatUYP1Ka89gVjbQHmRix6sBzoGAKTnefXIgppTTSbJFtJSEst5ZeQPNAIugxt0ec6r1HgSlzbgLKCc15DyNjCDYqq82q/AsCo0bSCueC3zuaj9RWuRqblhi+a8WiNtAACKovuWHYtXXRVba2srIpEI6urqYh6vq6vD5s2bFV/z0Ucf4eGHH8aGDRs0/51AIIBAIED/3d3dredt6sLonFcSs2Sl5XB/KEKXSUZVi8prukMKOI5DTZkXBzoHsL+zH0BmaQPk/WWypGkURjRsMeWVYTUyna4FxK4shHhl2wBRXguhaTGbymspUV6ZbcAw/Cq2AYeDQ1WxB629geh1LfW+rHs8rJWUVzJly0L1ilZM3Yo9PT24/PLL8dBDD6G6ulrz65YsWYKKigr6X0NDg2nv0bScV4uoiYDUrOVycBhWqbNhK654BaSmrf1UedW/GzkdHI3WsYrFgsanZNCwVQh+P4a9UGtO0YO8YYvaBhxqtoH8PwaI8urNwqhPqrwy24BhkGuOUqb3oBIx01z/eNgUOa8WG1IASJ7XARvuW7oqturqajidTjQ1NcU83tTUhPr6+oTn79ixA7t378a5555LH+OjfiiXy4UtW7Zg7NixCa9btGgRFi5cSP/d3d1tWgFrWs6rhWwDJCarstiNiiLxwNQcleVXL14PdqZfvAKimhPmecsMKlALrtYCOYGxtAGG1fAborxKzVhqDVvSkAJrHM9mIimv2WjYYkMKjCZZskx9RRG2NvVGr5XBhJ/HQ8fDalRerRKVBRRQw5bH48H06dOxYsUK+hjP81ixYgVmzZqV8PyJEydi48aN2LBhA/3vvPPOw6mnnooNGzaoFqRerxfl5eUx/5kFWRY3Km1AUl6tszNIxasHFcVi8RoI85qsDfGeV0AqXslFLJ2JVID1Egek7L/0x90WwpIpI/t8ub8Tr6w/kNZrBzKwwxDk+7eq59XBPK9mwKKyjIf6wBX6G2769kTceNZEnDRe22oxbWZMVbxabEgBILMN2LB41V2xLVy4EPPnz8eMGTNw7LHH4t5770VfXx8WLFgAALjiiiswbNgwLFmyBD6fD1OnTo15fWVlJQAkPJ4ryN2sUcqrNMrPOicaYhuoKnaj1OMCxwGCIKqvqS5o8Z5XAKgp9cY8J92D0atxuSVbBDJYXnWzqCyGidzw7AbsaOnD1GEVGFdbquu1av4+Pcj377BK2gB5TpgXIAhC2pmydiCraQNR20CfDZd2rUogSbLMxPpyTKwvRyikbXVSSuLgwfMCHA7lfcKSnlcbpw3oLl5/8IMfoKWlBbfccgsaGxsxbdo0LFu2jDZx7d27Fw6Hdb6cZAiCQE8IRimv5T5R2ezRGEWVDeTKq8PBodznRtdACF0DIdSW+5K+NpltgBA/Yk8rVlNeM1Go2IQthpk0dYsNrM09ft3FqzENW9L+HVSxDThlF+1QRIhJFMk3pJzX7E3Y6mO2AcMwwgdOkNsAghEePofy7yQiTfxNXy4haQMFobwCwPXXX4/rr79e8Wfvvfde0tc+9thj6fxJUwiEeZDeAqOUV+Ip1doQlQ06ogMKqqKWgYoisXjt9id/jxFeQF90p5bbBmrLjFJeoxYLixSvmShUHtawxTCJCC/QxsneNG6K/UEDhhTIcplDKmHrblnxGuZ5ePJ4+nggm55XL1NejcYIHzhBvg8EwrxqQRy0YMMWVV4tcg3Wg3W2Yg6Qe4iKDUobKCcNUSkKw2zSQW0D4vQQrQW2/GRprvKae7VSEISMorLkOZgMhpHIj8N0ChgjPK9uDcqrS6685vlxQNMGspLzyjyvRhKO8DQRIxMrDcHt5EAcMsmyXoMZjFM3i2Ibpw1YZyvmACKVF7mdMUtemWBJ5VVmGwDEQQOAhuI1erJ0O7mYpZGE4jWNaClAKl5ThTtng1BEoCq8UgdqKtzMNsAwCbkFKS3l1YAlUqlhS0obiFcd5f8M5fmUrexO2Ioqr8w2YAjyGEsjbAMcJ10fkzVtqR03ucRn44Yt62zFHCD5XY0LyCee1+4B69zJyBu2AFmB3Z+8eCUXyhKvK6b5otrohi0LKK/ydIh0lGT5uFsGw0h6ZKs4PWmob0Z4Xt0aorI4Tspuzve4rJx4Xm2ojlkReXOSUbFVdERskuLVilFZzDZgU/po0oAxlgHA2sprVUmsbaA7hYrTo5A0AIh3a+UyD2z6tgHrxIoRywDHpXdykYe4MxhG0puh8jpgQNqAPCqLel4VVqucBRKXlRvllRWvRiANo3EYlojh1ZDvbuW0Aaa82ox+gwcUANKS/EAokjL3LVt0xnleyzUW2EpJAwS5dSBt5dVCaQPSxJz0Tmgs55VhFjG2gTQKmICBaQMRXlp2VeqadhfIiFh/KHuZnUR5DUUEy1xT9PDVgS789Km12NnSm+u3AiB5TFa6aDn/W7Fhy85pA9bZijmAKK9GxWQBQFnUNgBYp2mLKq/xtgGNntcyX+L2qS2TIrbSHVLgtlDDVibNWgDLeWWYh/w8kk7xSm0DGdykyy0C/UkC+gtFeQ1kUXmViyt2VF+f+Xwv3tjYiJfWpTdkw2joJEUDi1ey+hhIIsRQ5dVCnleyb1lBQNKLdbZiDjBDeXU6OJR5tTVEZYMIL9D3QRu2fNqKVzXbABCrvKbr4SGvs0LDVrJxgVpgyivDLOQFa1q2gSBZJs08KgsAjc+L97wCkvKa755XP12pMb94dTkd9FxpR98r6f8gIkquMWJoRzzk2Ep2/rdkzitt2LLffmWdrZgDyEm4xEDPKyCLy7JA8do9EIIQFUEq45TXVO9P3rAVT4xtIN3i1UrKazgzdcrDlFeGSWRqG6BKUwY36S4HB2JxJUuMSgqSM8OGLZ4XsKWxBxHe2sdRNpVXwN6JA2SftYKYAxg7oIBAroHJPa/WjcpitgGbQUa4FhuYNgBo95RmA3K3W+Z10Ts+rbaB3iS2ASOUV9Kpa4UlC7mJPx1YzivDLHoytA0YFchO9vG+oHiBdikUbiTrNZxm8fniuv2Ye+8H+PvK7Wm+y+yQTc8rICXi2FF5JSKIFa6HgGSjSdfupoS0ipja82qltIEiG4+Htc5WzAFmKa8V0aatVN382YBmvJZIXlytymtfMttAaZ4prxnejbuZbYBhElZIGwCkQm0gieeVFK+hNBuLvtzfBQDYYZHmHjWItzFbI3DJNcqOnldiP+tMEc2YLahtwMAikua8RtSLQJrzaqHitdgt7ldh3n7NgNbZijnALOXVSnFZHX2xSQOAdmVY8ry6E35WWy5XXjMr+KwUlZXuBZ5430IRAYLA1FeGcWRuGzBGeY0vVpW8e7R4TVN5PdA5ACD2M1sRkriQjQlbgN1tA+J1pnPAap5XE5RXFSEmwgvUCmOlhi25lchu6qt1tmIOMM3z6rOO5zV+uhYgFdd9wQjCSZRCyfOaeJAb07BlnSEFmY7QJEuqAsQ4IQbDKLozLF6NGA8LJBarysqr+L/pKq8HOqLFq4UVRkGQVCqlpjUzsPOIWHIdsYzyGiarbNlr2JKrmlZSXj0uB73h7A/Za9+yzlbMAWakDQDal+WzQfx0LQAxAwaSWRuSeV6HlBfB5eBQ4nGmfSdppfGwAbqUlFnaAMCsAwxjIcoVIDZW6GlmEgTBkIYtQEl5TeZ51X8MCIJgC+VV7mvMln+RWLfs1hUuCAK9jvT4w5ZoxDMi9zieVA1bVi1eAfv6Xo2VHG2GGTmvgCxtwAI5r1LGq6S8upwOlHpd6A2E0TUQwqASj+Jre5PYBiqK3XjwiunwuZxwODgksfqo4rVUw1Zmd+PyC3kwIqDIWucnho2JL+R6A2F6g5yKgIFz3OOLVcXiNYNJc90DYXrOkRfsVkNeoGQ7baDXZraBQJiPSWDpHgjRSY+5wlTbgIoQE4hIExxdCpPpckmxx4kef9h2iQMFXryaq7xawvPan+h5BUT1lRSvatAJWwrKKwCcNrEuo/fmJZ5XC9gGMj2hOTgOLgeHMC/OfmfFK8MoMile5WpKpg0q8YpRMs9rMjuSGvs6+un/t7LySjz6TgeXtUKkxKa2gXibS6clilfjo7Jow5aKXSYoy3g1aiStURAFesACIpIeCvoSS5ZgjM95jaYNDOT+RNNJlNeS2IudlixaSXk1trgnuC00HtZvwMhAmvVqgaUxRv4QXwDoKWDIBcnjdMCVYaNIvMqYzPOazoQtYhkAxOLVqo2P8lHS2YI2bNnMNhCfjtFpgUEFUlSWcd+fJ0VUVpA2+Fmv5LLriFjrbcksQhq28jptQKFhC9D2HpPZBoyANmxZIKKDTszJ4IQmZb3m/vMw8gNBEGjOK/FV61El/QZeqDXZBhzENqD/GCDNWoDYnW2FFRklyI1uTorXPFBec40/w/4GJUjDlmrxGj0erOZ3BaSV5wGb3RhZb0tmERKVZVbagBWKV6WGLUBn8apiG8gUyTaQ+zs+I05oUtarNRUjhv2QewbrKsSEDz2JAwMGNqfE2wTcDmNtA3LlFYgdzmAlcqK8EtuAzdSx+ButLgskDphpG1ArXkNh62W8Euw6Zct6WzKL0Kgsgxu2KizUsNXel9iwBaQuXgPhCFUQlYYUGIG1JmxlfkJjI2IZRkMu/hwH1JX5AOgbVEAzXg3w9cszTTlIo2Dl0JzXdGwDHXHFq0VVRiMsRnopzhPl1QqCDh0FboptQPlaRoYXWLF4ZZ5XG0I9ryaNh+0eCIHPof9REASqvFYWq3heVQpseRh2icENbQQ6YcsCy+zSBSn9Q8LDpmwxDIaoj6UeFz1m9XTi05syA5ZI5cqr28kpNp5IQwqMUF6tWajlQnmlUVk2SxuI31etkPUaMDFtQM0yRhRZKw0oIBTbNCrLelsySwRly3HFho+HFS8yvJBbg31/MEILKTXlVa1hi6g7RW5nxo0easg9orks8gFjsv9I4TtgUa8ew37Is5bTiUsiFySfATegco+r2kVYGlKQfsOWM1oApzMKNxsY6SPWCikw0hlSkUsSGrYsMGXLDNuAJ5XnNWxdzytr2LIZ8rBno6OyvC4HPbnncpmENGt5nI6Ez5jKNmC23xWIVS5yrVYacUKrLBJf2+2310mAYV16ZHF1RH3TU9SRgnBQceZNl/J0AbXJUukOKegPhqnFaWxNCQALe15J57iBDT+psOuQgnjrhxU8rwMZjgJXIpXn1dLFq5t5Xm0F8bt6XA7FvMJM4DhOZh3I3clGbhmIX+LTWryWmeR3BWI9dLn2vfoNOKFVRAv9Lla8MgyCFHBlPjeddKfHNrB6dzsA4OgRVRm/F/mFV614dabpeT0YLbJLvS4MrSwCYGHPK23uzH7agN2GFNAR41HxxEppA14jbQNuYhtQ87xKOa9Wg6UN2AwpacCcu+eKaNarFZRXpQlaqbJoyQXSTOVVHvKd61gcGn+TwQmNfucWXe5k2A+ivJbJlVeNRZ0gCPh8l1i8HjN6UMbvxa1BeXXT4lXf8bw/2qw1rLIIZdG0Fst6XsO5SBuwp/JK9tVhVeINiSUatkyIyiIrrSlzXq2ovLK0AXtBM14N9rsSrDAitkOlWQtIrbz20Dtmc4ewkTvWXCuv1BuYwQmNKK+dTHllGAS1DXil4lVrUbe3vR/NPQG4nRymNVRm/F7kPlc1z6szzagsYm8YVlUkKcw5LF7DER5vbWqkVgY5Zih3qSBNxf3BSM77A/RAvsPhVcUArDGkINNR4EqQfSGgIsIE7dCwxdIG7AFVXk2aHmWFQQV0ulZxovKa6v2RtAEzlVdAuhP1qyy3ZAsjTmiVRM1mxSvDICTl1U2LV61xSaujqusRwysNaU7RorySez+9WccHYpRXUqTn7tz5xleN+NETa/GHN79J+FlOlFeZfavfRkUGsX4Mt5DySuKsjIiPI9C0AZWbtpAthhTYZ78CCrh4NV159aUev2o2HX1EeVWyDUjKsNKdPLENmOl5BSSlU+2ONVsEDMhurPCJr2W2AYZRkOOw3OeiN5JabQOfR/2uM0Zl7ncFNDZscQYorzoVZjPY3twLANjT1p/wMyP88XrxuhxU1bZT1qukvIrFa2d/KOdjf42MjyOkynkNWLlhi6UN2AuzMl4JqaKoskEHVV4TbQOkuBYEoFfBR9Ur63I2E59FbAPGpA2whi2GsWRiG1izuwMAcOyozP2uQOySp9J0LQBwOdPzvB5Q8LzmMhaqqcsPAIq2gVykDXAcZ8u4rN5ArG0gzAs5nxI2kIOcVzoe1oq2AZI2YCNFHyjg4pUsi5vneSVLyLk70XQksQ343E56wCnFl/RQW4XZtgHxwMn1oAJD0wZymDDByC9iGrZ0KK8tPQHsbO0DxwEzRhpTvGqyDdAhBTptAzLllRTpuewXaOxWL15zkTYA2HNQAdlXq0u9loiPDEV4RKL7prFRWXbOeWVpA7aCKq+mpQ3k3vOarGELSP4eydKUWaNhCVZQXsMRHmFyQsukYYvcsAQi4HO8NMbID3oCkue1TEfawJqoZWBCXRkqDMh4BWJtAx7V4lX8Xz22gVCER1O0WBwu87zmVHmNvp+O/mCCrSpXS8B2VF7lN19kP8xl05b8OmOG8pqyYcvCxSuzDdgEqryaVJxZwfOarGELSG5tkE/2MRPasJXD4lWu+hrheRUnq7EpW4zMoeNhZRO2+gLhlL5Bku96jEGWASDONqA6YUt/zmtjlx+8IP7+6lIvVZhz6XklxSsvJN7cmzFeVAt2HFRAIxe9LlQSsSSHgwrkkYxGNtylatiyRdoAK17tQT4pr8Ewj18//wVeXLs/5nFqGyhJrrwqLc/JvXZmQiNGcmgbkBfOmZzQ3E4HSjzi61niAMMIlGwDoYiQ8nghzVpG5LsSdNkGdCivJON1aKUPDgdHb/xzFZXlD0XoqhUAtMcphblIGwAki5tdlNdQhKfFYpnPRVcAczmogMacuRwJg3sygSiqEV5QXHUIWjltwC3uVywqyyaQE4DZOa/ZKF4/29WG59fux69e+AIfb2+lj3cmSRtI9R57s+R59dHllhwqr7ITmsOR2QmN+l5t5EtjWBdSwJX73DGZy8kKmB5/CF8f7AYAHGNQ0gAQr7waV7wSvytp6pEa03JT5LT0BGL+He97zUXaACCdi+2yvCtPRSjxulBRJF6HOnOovJoRkwXENu8p3VhaWXktkuW85joJQg/W25JZgpwATE8byMIJuLVXPNkKAvDzZ9ajuduPUISnfrlBKWwDyTyvpkdlRZXXXE7YMiJpgFDBEgcYBkJtA14XnA6OrhQlUyXX7e0EL4jxREMqigx7Lx6XFs8ricrSfhGUJw0AklWpLxihzTXZhDRrEeKLV8nzmm3bgPj37BKVRVYNfG5xBLsV+kAGgsbHZAGxiqpS4oClldfoOUUQcj/pUg/W25JZos9s5dWXvQO1rVc6ubb2BvE/z6ynJ1yOkxTWeJKdTAopKstIJaXSxwYVMIwhIosVIgWdlsQB0qxlVEQWwa3J8yr+rz7lVcxSJSNE5eecXCyRN3YlL15zlTZQTD3P9ji39NKmX/E6I9kGctiwFTZHNZePOk+qvFqweJWLNnbyU1tvS2aJbCmv/hCvGlxsFOTkOvuwGpR4nPh0Zztu++8m+j6cKkvhdFCBQrRTT5bSBjwpIkaygREDCggVReLv6A7Y5w6WYU3khRsp6Eo0JA6QyVpG+l0BrWkD+hu2aExWVHn1upz0Ip8L60CTRuXVm2XbAJ2wZpMCI77p1xoNW+Y12yXLerVy8ep0cPS928WSAhRw8dpHG7bMKc7KfC4QP7hScWgk5OQ6fWQV7rzgcADAGxsbAagnDQDi1B4gUXkVBCF7UVlWSBswcOJKBVNeGQZBCjePy0E9dTQuS8U2EAhHsGFfJwBjkwaAWJ+rS6V4JTfKYV6H8tohZbwSynMYl5WqeJWU1+zaBsjyrl1sA71xTb9UebVA2oDXjOKVNh8nnvutPKQAkCUO2Khpy5pbMguQoGezGpIcDi5rYdtt0ZProBIPzp82DBcfO4L+TC3jFVC3DQyEIiBWs6zZBkxWp5NhpG2Ael5tsrTHsC49tFlLOgZT2Qa+OtCFQJjH4BIPxtaUGPp+5BdetYuwW6fyyvMCDnaKxSJRXgHoniZmJI3dYg9BTZkXQBLlNUdDCuxSvMav3lVEhZRs2QaUrCtmWj7IMWE32wAg2SftFJdlzS2ZBYjyWmxSVBaQvbgscnIdXCKeHBafOxmThpTHPKbn/ZE7ZgcHFJmcZUgnbOXQKE7uNo24GyeeV9awxciUXtmAAgIt6lQKmNW7xJGwM0ZVGRoFBMRaBdTSBpw60wZaewMIRng4OKC+wkcfL8thXBYZDTs5eg5VU16zbRsgBUaux6tqJb5vQrremP+drtvbgamL38LS93fEPE6+O6PTBgBpf7Bb2gBgz0EF1tySWUDyvJqnLGZrUEFbNG1gcKmoFPjcTjxw2XScffgQ/PDE0aqvU0tEkN8xG30BjMcaDVvGpw0w2wAjU+RJAwTS/KJW1H1uwnACgpacV3IIaS1e90f9rvXlvpgmsFyOiCVpA5NUildJec2ubaDEZmkDZEABsbpInlfzldd3v2lGIMzjna+bYh4nA2nMsHxIymsS24BllVdiG7DHvgWkWbzef//9GDVqFHw+H2bOnInVq1erPvehhx7CSSedhKqqKlRVVWHOnDlJn58MIzPIpLQB+yuvctsAYcTgYtx/6dE4fmy1+vsrVi6ue/2Jio9ZpJoJnQ2MXEqq9JGGLVa8MjJDPqCAkCwuiecFmjRgRvGqxTbgVInKCoQj+OlTa/GvVbtjHlfyuwLI2YhYQRCo53Xy0OTKa9ZzXj32sg2Q60hJvOc1Cwk8W5p6AAC7WvtiHvcHzfvuNCmvFi1eyQprXiuvzz77LBYuXIjFixdj3bp1OPLIIzF37lw0NzcrPv+9997DxRdfjJUrV2LVqlVoaGjAGWecgQMHDuh+s2pLZXoJR3i6g5nVsAUA5VSFM+9kEwzz9CKXzCKghDzOS35j0EcHFJivLFhDeTWuA5V+5yxtgJEhSlPuknled7b2odsfRpHbiSnRwstI5DmvbpUEE/J4/JjMz3a2442Njbj1P5vw1YEu+nh80gAhVyNiuwZC9Nowqb4MQGzxKghCzjyvdDywTQoMuoJH0wbE61N/MGJ6As/WaPHa1heMSTcwN21A/J1Jc16ZbcAwdG/Je+65B9dccw0WLFiAyZMnY+nSpSguLsYjjzyi+PynnnoKP/3pTzFt2jRMnDgR//znP8HzPFasWKH7zTbHdYGmS7+sUCo2sUCjy/Im3mmSEbBOB0f/nlbI80MRIabLMFsxWYB0AQjk0PNKLkZG5rz2BHITsA4AL63bj6se+zxnE4oYxtCjsAJCbANKRd3BaCE4cnAxXCZcJF0O7Z7XeOWVTK3iBeDmV74CHz021JTXXI2IJZaBqmI36qIe3IFQhDayyFU1ZhtITnzagDyBx8zVyP5gGHvb++m/d7VJ6qvfwFjEeOzdsBW1DeRr8RoMBrF27VrMmTNH+gUOB+bMmYNVq1Zp+h39/f0IhUIYNEj/stahLoOK1+iSrsvBmXonlA3PKxlQUFXs1j3atNjjpBckeZyXZLQ33zZAJ2xZIm3AuKgsXsiNXw8AHnh/J1ZsbsaH21pTP5lhWcjNR5li2kDivkWWu2vLfQk/MwKO42jTlvp4WPF/46OyWnqlkasb9nXi+bX7AMiV1+KY5+dqRGxTNGmgrtyHMq+Lfs72qEgQW7zmSHm1SfFKmqLJ/utwcFm5Jm5v7oXcYbizpZf+fykqyzzbgN1yXgGgyB1NG8jXqKzW1lZEIhHU1dXFPF5XV4fGxkZNv+P//b//h6FDh8YUwPEEAgF0d3fH/AdIXaCZIk8aMLMhKRue13YFv6tWOI5TfI+9WRoNC5hjG4jwAn761Frcs3yrpucbWby6nBxKPeJn6ujLTfHa1CMeJ0bd7DFyQ3zIOyAdk0pTlpqj6mZdNOLJDEgxp3bTLx9SILcitUbfW3W0qfQPb25GR18wpec127YBco2pr/CB4ziak90eFQkC0XOFg1Mv4M2iVGYbsMMMeiXbSzayXjc39sT8W+57NTOjl64iJmnYyvYNj1aKC8E2kAl/+MMf8Mwzz+Dll1+Gz6euDixZsgQVFRX0v4aGBgDSXXGmmJ3xSihX6eY3krY+cZukU7wC0ntUKl6z4Xk1o2FrS2MP3tjYiH+8t50uTybDyLQBQFJfs9GYEE8gHKEXhviwdYa9UG7YUo/KImNN60xSXgGpaFUbUiC3FoRlxx5RXq86cTQOqytFR38If3xri6rnlVgljOpz0AqxDdSViduQnFeJ8kqVO5e5wocSpMCI8EJOG1y10qtgPyOJA2YWr1ujxStROXfGFK/idjMjKotOi1SwwBHlVW2scq6RbAP2UPUBncVrdXU1nE4nmppi4yeamppQX1+f9LX/93//hz/84Q94++23ccQRRyR97qJFi9DV1UX/27dPXGIy6mKcjYxXILvK6+CS9NSWZMUr8deZideECVtEeQxFhJjlSjWM7h4ujyYOdPRlf4Z3s+wGL35GO8NeSLYB6Tik42EVbojJ+bGu3Dzl1UOV19TFqzwuqzV6HA6p8OGO86cCAP69ei8916g3bGX3BpAWr1G/6+DSaPEaFQmkUdLZL0KKZc3FdrAOxOe8AvJBBeZ9ryRp4OTxNQCAXS1KyqsJtgEyHlYhJs7ytoF8V149Hg+mT58e02xFmq9mzZql+ro//vGPuOOOO7Bs2TLMmDEj5d/xer0oLy+P+Q8AGnsM8ryS0bCmK6/K41eNJBPbACAV2OTkDCifdMyCel4NbNgizSEAsD+6LJkMo7P/KqLFa3sOxiA297DiNV9QWnZNFiHVFP3uzfK8AkBNtJirKVW+sY0tXmXKq8w2MHPMYHznqGH0Z4NLPAlKWK6iskhTcH10G1LbQNQCJFdes43Twdkq0kiyn0n7iqS8mndjT5IGzpoqCmq7WvuozcLMtAGPSvMxzwt0FcKqaQN2bNjSXZ0sXLgQ8+fPx4wZM3Dsscfi3nvvRV9fHxYsWAAAuOKKKzBs2DAsWbIEAHDXXXfhlltuwdNPP41Ro0ZRb2xpaSlKS0t1/W2j0gaIXyxbymu3iRNFlDJe9TAo6kFa9NJGvPblIcybNgzN0ZsEu3pe5cXrgc4BTB9ZlfT5Rp/QiG2gIwth3PHIj5FGZhuwNclsA0pd+PGFlxn8/qxRaOwJoqFS+W/IhaVY5VU8FsjI1UXfnoh3vm5CTyCc4HcFpHNPtj2v5JiprxDfJ4kftILyCoiCy0AokvWiPh0UlVeTVyM7+4PUXnj6pFq4HBwGQhE0dQdQX+EzNW1AzfMqV2Itq7za6KaIoLs6+cEPfoCWlhbccsstaGxsxLRp07Bs2TLaxLV37144HNIX9I9//APBYBDf+973Yn7P4sWLceutt+r620ZdjKnyamLGKxCbo2oWpJGALG/p5eqTxmBPez/W7+3Eh9taYzrUzVamAWn5JhDmIQiCIT4yefFK4oOSYbRtoKJIPBGY6etSI0Z57fYbtk0Z2acnkGgbIIVAXzACnhdowgjPC1LDlonFa22ZB7Vl6ucajuPgcnAI8wKNywpFeLpCVB09T9WW+fCbMyfgd69uwhHDKxJ+T67GwzZ2Bej7A4AqWrzGel7NKH60UOJ1orVXuoZZFZ4X0BtUb9gy65q4tUlMFhhWWYTKYg9GDCrGztY+7GzpFYvXkHGxiPGo5bzaoniN1kL9NkobSKs6uf7663H99dcr/uy9996L+ffu3bvT+ROK9PrFO85M80ep8mpycUbuMnv8oZgLjZFkahuYOqwCL//0BOxu7cOrGw7i1Q0HqMF9xKDiFK/OHI9s+S0Q5g25KDTL7CUHNNgGAgZfkMqjjW4dOSlepc8eDPPo7A/RCzDDGN7ceAi15b6Uin6m9CZRXgHRu0+KvNa+ACK8AI6TCsRc4XKKxStRXsk5yumQuvcB4PJZo3DUiCqMqSlJ+B25GFIQivC0AbaeeF7jileiquWqa5wILr0Wn+DXH4rQuKoyBeXVrBt74nedEB0wMbq6RCxeW/tw/LhqKlR4zbQNxBevsn9b3Tbgz2flNdc0dg1gXG1ZRr+DTpAy2TZAmqF4AegNhqkSaySZpg0QRlWX4OdzxuN/Th+HjQe60NYbxAnjBhvxFpMivwMOhAwqXrtjbQOpGDBcec2dbSA+keNQl58VrwaypbEHP3lqHerKvfjsJvW4v0wRBEHRNuB1Oaiy2RuQileyz1eXek0ZUKAHt9MBf4inxStZCRlc4km4gZ86LFF1BaTPHIzwCIQjWfGYtvQEIAhiBNagaJGtpryaUfxogSTA9FvcNkBuvFwOLqbQrzS5YYskDRxWJxWvgBSXRYrXIhNtAwnKK2nWcjosuwpGG7ZC1t6v5FjzNiAJRmRXkvF6xSbbBnxuJ70bMyuUOdO0gXg4jsMRwytx6sTarBxobqeDTuUxalCBPGFAi/JqdPZfpS+Xymts8crisoxl9a42AOJNgpl2IH+Ip00ectsAx3HSoAKZKpmNpAGtkKYt8v7J8VijI39WbunKlvpKbGm1ZT5aZA+ymvJKPM9WL16jlpdSnyvmOkIatrpMurHf0kiUV7GfZnRNfPFqnu1D1fNq8aQBACi2oefVultTBSOKVyltwPy7ZzMN6hFeoHewmSqvucRnYFyWIAgxyqsmz2vY2KUk2rCVk6gs8fggJ1LWtGUs6/Z20v+/TzaC0miI35XjpAsLQSnrlSjuZjZraYUsjZKLdkvcgAItOB2cbMpWdgq1pq7EGwAiCljG8+qxx5QtpaQMAKggQwpMuB4KgkBtA6mUV3M8ryq2gQjJeLWm6gpIQp6d0gZsV7waEf8jpQ2Y75oojxYyZiQOdPQHqa+oqtj8TFazMDIuqzcQjhlx1xMIp7xxMNrET6KycjGkgCivU4aK8XJsypaxrN3TQf+/qcWr7OIfv9ReqjAm1OzRsHogAwyI8tqahvIKJE9WMIMmmjQgbcOqEqnYEocD5Fp5Fc8tfRYvMpQGFAAy5dWEc2Nzj7ga4uCAsTWi8jqmWvzfve39CIZ5kydsqTRs2UB5LYpOhWTKq4kYqbyW2lx5JWpAZbE75z63TEg2Vk8vROUp9bpoQZ/KOmB0VFa5bMJWRMOEL6MIhqWu7iOGVwIwbqQyQyzC9soK1r1JitfdrX2Yc8/7eHn9/rT+FilelXzyZclsA2W5L17JFKF4z6se5RWQj4jNzk1gY3diWgNpMBMEMYYp58qrwo2LFVFqNgQk5bVrIKRp+qEeiGVgVHUJ/X7qyr0o9jgR4QXs6+iXMr2z2LAVsEXxypRX02nsSr0MnIpseV4Bc0fEtvVmljRgFYxUXonyWFPmpfmRqZq2zEobEARzY9LiId5Ct5PDpCHishmzDRjHOpnqCiQvXl/78iC2N/fi8U/2pPW3elWWXQGpgOlRUF6t5HklxWt8xqtWaPGapUJN2oZS8ep2OujNaHtfMPfKK4k0sniR0aOivBIxRxCMt4OQ4QQT66WGbo7jqHVgW1MPFRPMtQ3EfjfkOLBq0gAgWZOCER5hhQlhVsS6W1MFQ5TXQPY9r2Y0bEnNWvYuXr20eM38hBxTvEZHTh7oUC8yIrxAPUlGdaC6nBxKo8sw7Vn0vTbLGk7qK8TPzhq2jIP4XUlKyb4kiv6O6EjKbw51p3UxkEbDJhavSsvpTQqqYa6QlNdow1Y0vk1vhFepj0QNZqlhq0t5yMPgUsn3ahXl1fINW3RAQezKgdflpLFMnQPGnhu3xCUNEEjx+vWhHvqYKQ1b7hRpAzmYyqYV+YS7AZtkvRZk8ZpV5dVnZvFqTExWrjFyyhZZoqwt82JYpZhTezDJPiO/SzbybrycJg5kr3glBUxNmRdDor495nk1DqK8zo2OnUzmed3ZIoalB8I8tkf/vx6UYrIISqNTSb6vNYrXqOfVIOW1N0u2gSaVbUjsR5ZQXklUlsWHFKh5XgHzsl6J8johrngdEy1evznUTR8z4/vzOMXvRi3n1cq2Aa/LAWKtt4t1wLpbU4WugVDGB26+pA1Io2Fzv1SYCcQ87w8bYRsQL0AxtoEkCpncqmCkiZ8OKsii8trSIy0dkwtw10DI0NG7hUoowuPLA50AgO8cNQwAsL+jX9HTLAgCdkaVVwD46kB3wnNSQZddFTyv8Q1boQhPC0RL2AYSlNfoTZVez6sF0gYA6fzabgXPq02GFJDiVenmy4xrIs8LdLrWYfVxyms0Luvrg+Jx6HObk7eqqrxGb+K8FrYNcBxHxTyrW1II1t2aChRHl2IzTRzIatpANLDezIYt+9sGol4hQ5VXH4ZF56/vT+J5JYWdx+kwdAJahU/8TLlQXmvLfCj3uagNwoiEjkLnm0Pd8Id4VBa7MWvMYLidHEIRQdFT3NIbiPFpfnWgS/ffS24biC6nR/8Gscq4nbETrHIFUV5D0QED5NyXtvKahSXyHn+IrsjJ0wYA2ZStXgsprxa3DahFZQHSiFgj01j2dfRjIBSBx+XAyLjJkKOjiQOk98GsGw/VqCwbKK+AbFABK16Nh/j4Mr0YU+U1C8Ur9byaoB60ZTga1ioYqbwq2QaSK68k49XYQ4Eor+192WvYIqpzbZkXHMcx64CBkIisoxoq4XI6MLxK3Lf2tiVaB+SqK5Bu8aquXJEChvgKmxTC9XOJyyEeS2Gep02lbidHz4VaIUW6GefOeMiNX5nPlSBq0Clb/UHDmzv1YhvPaxLbQGWRuD2NHFRA/K7jakoTkneI55VgRkwWIE8bUB5SYOWcV0Dq+RiwyZQtWxWvZCk0k4sxzwv0zqI4C7YB4nk1RXmNXhgG53iWeab4DFRem7sT0wZaewOqS+dmLQNW5NDzSo4T8r+saStzSLPW0SOqAAANUXVHyfdKitfh0f3v60PduiPTaNSQwsU/XpGkjXoWsAwAMuU1LNCM1+pSr+6l2mwqrzTjVcEzPFg2ZSvXyqtdlnaJT7lU4eaLKq8Gel6p3zXOMgCIApK8WdCMpAFAynkNxKXmBCL2UF6LmfJqHnXRZadM4n/knXRZVV5NtA3YXnk1MG2AxEXVlntRVeymd5NqNzxkupbRJzRJec1i2gDxFkaLGLL8yeKyMoc0a00fKRavIwaJhalSXNaOaIPWnEl1KHI70R+M0Ak/WiETtsoUPa/iY5Lyap3pWoAsbYDn0854BaTCJxs5r41d6g1vVbLiNdeeV6UBFVaEel6TNWwZeE3cEvW7KhWvQKz6atZ3Rxr7egLhmO/HDmkDgGQbYA1bJkBOzlpGfqrRF7UMcJx5d2ByyrPSsJUvxWtmtgF5SH9NVOkZGvW9qlkH/EFzJq6QtIHOLCqvtGGrLFZ5ZZ7XzGjq9uNA5wAcHHBkQyUAoIHYBhSVV/FCOr6uFJOjk870WgeSeQZL4xRJpXzSXCIpr3za07UAadhHNhq2GpNsQ2spr2TClrWLV7r/KjVsFRt/TdzaqJw0QMhG8VpZ7KE3adubpYQRO+S8AtK+xaKyTKC2IvOLcX+0WavE4zKl4zCeCpOGFPC8QJekB9s8bcCoCVvkQulySI0rw6JFxoFO5VgjSXk1uHjNsvIq7zgny8dDDDheGJLqOqG+nHoORxDbgEKG8M6oyjqmuhRTMyxek+a8BmKVV6vYBiTPqyBTXvXfYBPVORvjYZvpaNjEbWhF5dUfsnaYvBbPq1G2gWCYp6sd8UkDBNK0BZgrWo2vFf/ONlnxapuGLbc9LCkEa2/NOOoN8LySO9ZiT3ZOPkR59Yd4Q8afErr90uhRMn/brngNUl5bZAMKSOOKNKhARXmlFyNjDwXJ85qdhi154T4oWrhT5ZXZBjJi3V6xeD16RCV9TM3zGghH6GNja0owZVgFAGCj7uI1mW1ARXm1wGhYQBzSAYhRWelmvALS58yKbUCj8kobPHOWNiAVg30WLjKSRWVVUuXVmBv7na29CPMCSr0uDK1QPgayobwCwGF1pHiVBiKQ4jVX+4xWmOfVREj+XiYXY/LFlCjcEZpBmdcFIvB2DxinIBDLQJnXRY3idsWoIQXy6VqE4XRErIrnNWSO8kqK12wpr/IBBaRwJ55X1rCVGaRZi/hdAWDEYLF4be0Nxvjb9rb1gxfEwqumzIvDo8Xr1we7dc1yT3bxp7YBv1VtAyTnNTPPazbHwzYmmVBGbFmBME9vRr05Ul49Lge1ZVh1UIEgCHTfVLrOVho8pGB99PicOqxcdTV1TI2seDXxejkualvY3iRTXm3WsDVg0f0qHmtvzTjqy8VCRH4HrBdyocmW8upwcNS0bqTHhzZr2TxpADAuKkseFUWgyquabSBE7oqN3R/KvOKh1TUQysrynjQaVvrsxDbQ3BPQ3e3OEAmEI1Q1JUkDgJgiQhQkuXWAjIUdU1MCjuMwrrYUHpcDPYGwoj9WDS22gWA0R7UpyZJ3LpBP2GrpzbxhqzcQ1lX4p0OTymhYQLxWkMKDrHDkUkUrsXjTViDMIxz9vpRsA+UGN2yt2S2ujMwYOUj1OSMGFVMRKRu2ga0KyqvVPa9EwGHKqwmUF0nB6+mqSX0yz2u2KDfB90ryE+3erAUYN6RAsg1IF6ChtHhVsw2YmzYAmNOsF08TybeVXXyrS71wOjhEeCmyiKGPTQe7EQzzGFTiwcjBseHnxPcqz3ol3jsyktLtdGDSENH3qtU6EI7w9AKSzDYAiMovyUGttZjyGowIaFVYDdEKiRkUBKDfxCaSCC/QIjt+QAEgTh+KHwSTK88rIF27+iw6ZUveYKd0na2UNWwJQuY3JWv2tAMApo+qUn2Oz+2kq3BmfnekeN3fMUCV8QDNebV2ucUatkzEiOB16nnNQsYrwYxxePkyXQswUnlNvFCSrNdDnX5F9ZE0bBUZfEJzOjhURKerZSPrtUVBeXU6ODqSkzVtpQdp1jp6RGXCkiTxvcoVVZLxOrZGahChTVsHtRWv8qJESblyOjh6oSHJBkVup2IsUS5wOYxRXr0uB/1dZvpe23rFlQkHp34+jZ9cllvlNZo4YFHlVd6spTQ0ozK6LYNh3pA+hz1t/eC42JURJUjTlpnF6+BSLwaVeCAI0rnALg1bxSwqy1zqafGaXlwWGauXVeXVZ3zWa3ufeFHIB+XVqJxX+XQtQl2ZqD7KO5/lmNk9TC542ZiyRQr3eM9ePZuylRHET3f0yMQL4wiFpq2drVHlVV68Rn2vmw50a/qbZIXG63KoXvDI0jGJ5Kkr1z8EwCyIwtQbCFMVLh3lleM4aVCBiYkDpIeipsybMJ2JED8IJpfKKxlUYNWGrd4kMW8AUOJx0puSzgybttZGVdcJdWUpJ7hNiDZTEeXXLMbVxjZt2cXzWmSTARgEa29NBTK9GJMDPlueV8CcQQVSxqs1fG6ZYNSErWaF4tXldFAfm5LvNWCSbQCQQquz0bTVpKC8ApKHjzVt6UcQBLokqaTqjIhTXgVBoGqLvEHkcFnigJZlUsnvqn6RJSorsSlYxTIASGkD5BztcTpoZqteiO/VzBGxZBuS7F4lEpTXLGSEq2H1QQVkwIZSxisg3pQYNWWL+F2nK9xcxnPNyWPw/86ciMuOG5nR30wFTRyINm2FbKa8suLVJDLNriQ+lGylDQBSSsJuhTno6ZJXtgGjorJkCooc0rS1XyEuy6y0AUC6w8+GbSCV8srisvTz5f4uNHUHUOR24sjhlQk/l7Jexf2qvS+IroEQOC42mmd8XSncTg5dAyHFfTCeZEkDBFIY7GgWi2WrTNcCALeDFK/iZ60pS18VLotOEzPTNvDlftHOQRRyJeJXuMzsWE+F1QcVpFJeAVnTVqbFa9TWMyOJ35VQW+bDT04Zm5aFRQ/ja8XEga3R4pUor17beF6tuV/FY+2tqUB9RdTDmK7yShq2suh5PSqq2qyNHmhGkFcNWwYMKRAEQTYaNvZCPqxKvWkrG7aBbBSv8qgsOaSYbUrzeGnq9uP8+z7CE6t2Z/T+cskHW1vw/aWfUIVNK69vPAQAOH1SLR2dKIcodfva+8HzAh1OMLSiKGZ/8rqcdGzlJg2+VynjNUnxGi0MiE2hziIDCgDAHT2eD0Xj6dIZUECInyZmBmSAxBHD1YtXuUjAcVKiQi4wUnkNRXgseeMb3Pjil4Ylkmi5+ao0oA9kIBihx1OypIFsQ5q2thPbgE2UV5Y2YDJDDVJei7PoeSVLGpsOdmXs6yQQ20C8F8uOGKG8dvaHEIqIJ9/4iyVRXpXGCvtNHPdIbAMdJtsGwhEebX3KU5YybXB8ad0BfLG/C/94b0dmbzKHLH1/Bz7f3YHHPt6t+TWCIOD1L8Xi9Zwjhig+Z0ilD04Hh0BYbEza0Uz8riUJz506VPuwgmQxWQRSwDQlySfNFbTJKpC+35Vg9ojYCC/gq6gXOVnxWiUrXn0uZ079xVJUVmbXkr5AGFc9vgYPfLATz3y+D6t2tBnx9pJO1yJUFkuDH9Lli/2dCEUE1JZ5aZKAFRgXtQ3sbe+HPxSxTfHKGrZMxijPa0kWPa/Dq4pQU+ZFKCLonrSjBmnYsvtoWEA2pCAD5ZUsm1cWuxMyW6nymmXbQLYatlp7gxAEsQs9fn+oy9Dz+vH2VgDAwS4/9iuMQtXLVwe68Pgnu03P7SSEIjw27OsEAHywrUXz69bv68SBzgEUe5w4ZUKt4nPcTgeGVorbd297P1Ve5UkDBDJp6ysNTVs9Gi7+8T+zkuc1PhIok2Vas0fE7mjpxUAogmKPM2aEaDxy5TWXfldASsrJRHlt6Qngogc/xQdbpWPija8OZfzeAOlGI9n+S6LkMrkekpXMY0YNskyzIgDUlHpRUeQGH00cCETskfOaq6gsnhew8Nn1ul9n7a2pwJCobaC1N0DvaPRA0gaKs+h55TgO0w20DgiCkFdDCkixmYkqrZQ0QBiWJOt1wETbwKCS7HheyXCG6lIPnHHRNHLPq95MRX8ogtW72+m/V+9qT/Ls1PC8gB89sRaL/7MJb3/dlNHv0so3h7rpMtietn7saevT9Dqius6ZVJd035BnvZLYKiXl9XBavKZu2ko2GpYQ3wxTl4G6aTTxS+qZKK9mj4jdSPyuQysSjh058cprLiHpNZt0Tm0j7Grtw3f/8Qk2HujCoBIPfnXGYQCAt75qNMQ6QJXXJCsHx4wWl/k/353+OWVN9LVamrWyCcdx1DqwrbmH1iluiyuvRe7cpA089sluvP11s+7XWXtrKlBV7KbyezpqkqS8ZjcTkRxgRhSvPYEwXSLPt4atdEOrpelaiQoUHVTQMZDw+80aUgAAlUXZ8bw2J1k6Jo08/cGI7o7tNbs7Ym4QM7nQAMCqnW30BuL9rdpV0Ez4fHfs8fbhttaUr+F5AW9sTG4ZIMgTB5QyXgkT68vgdHBo6wumbJ7TYxsgKIXr5wpjlVdzR8QS5e/wJJYBwFrK67cm18HjcmDVzjY88MFOXa/duL8L3/3HJ9jb3o+GQUV44cez8KPZY1FZ7EZbXzDjG1RAUsmT5Q4fM0osXrc396ZlHeB5gV5LtTRrZZvx0TGx25p6EYyuKNpGec1i8bqzpRd/fGtzWq+19tZUINNBBf05GFIASDmR6/Z0ZDxVpD3arFXsceY0b9Ao5BeDYJqjVJUGFBCI8toXjCQ0CNCoLBPUlKqS7HhemxTG4hKKPE4a1ab3Zu+jqGWAbNNML2wvrN0v+93ZKV5JDiTxQX+goWhet7cDh7r8KPW6cPJhNUmfSwYV7Gzto5FZSsqrz+2kakwq64CWi3+8qqV005YrXA4DlVeTPa9f7u8EICnjagyykPJ6WF0ZbjtvCgDgT29t1uxVFQQBv3x+A9r7gpg6rBwv/eQEjKkphdvpwNzJ9QBAb9oyQYvyOqjEQ4+HdG6Kt7f0otsfRpHbSSfYWYkY5dUmOa9SVFbYkMlnqYjwAn71/Bfwh3gcN0Z/w521t6YKRE3SO6hAEKSg+mR+HDOYOqwcHqcDbX1B7MkwMkvKeLW/6grEXgzSbdpKZhso8jipchJvHcjOkILsKK9qvkdyvOhtciR+15/MHgsA2NHSh7Y0x8z2+EN4U+ap29c+oHkJP10EQaDK64+jn2HVjjaEUtwgvRa1DHxrcnLLACApr59sb0WYF1DscarGVpEopo3RgkkNLbYBeWFb7nMppiHkivigf6t6XsMRHl8fEm8kUimvlcUeEFtlrpVXALjomAZccPQw8ALws3+vR7OGG9OtTb3Y2tQLj9OBJ6+aGXNTcdbhYvG6bFPm1gHJ85p8GAC1DqRxU0wK3mkNlZYcuzqeZL029yIUFrdnLqeyaYGcQ3hBGmlrJv/8cCfW7e1EqdeF28+fqvv11t6aKqSb9fr57g40dQdQ6nVhytDs3q15XU56gszUOpBPGa+A6JEjYk26gwqSKa+AetMWaRIzc0hBtz+csmDKhOYkyisg873qOF46+oJ0nOk5RwyRqSTp7btvbDwEf4jH2JoSHBu9aGlZws+Eve39aOkJwON04JKZI1BV7EZPIIwvog1cSuixDABS8UpuKEdXl6g2jxwbXSpdtqkxqbKhxTYgz6m2UtIAYKznlRTpJPg+Gb2BsK7Vhe0tvfCHeJR6XRg9OFEtl+N0cDTeKdfKKyCuQP5+3lRMqCtDa28A1/97PcIpzjEk+u3kw2potz/h+LHVKPe50NITyPj61JtiSAGBHA+plFelY2XtbtKsZT3LACBlve5p66eNdVZXXuUj0s22Dmxr6sHdy7cCAH53ziRq7dODtbemCkOShM4n44W1+wAA3z68PqtRWQTqe92bafGaP6NhAfFEnGlcVkuP8oACwtAK5aYtM9MGKorcVOHXslydLlR5VVk6psqrjgv7qp1tEARxWkxtuY8WnOn6Xoll4HvTG3DSuGoAwEcmF6+k0D58eAWKPS6cEP27HyT5u5/vbkdzTwBlPhdOHF+d8m+Q4pUwRsHvSpg7tR4elwNbm3qx6aC6dYAqVxo9r9YrXuOV1/TPU2UabQOCIODSf36Gk/+4ko7MTQVp1poytByOJM1aBNK0ZQXlFRDjHv9+2dEo9bqwelc7/vT2FtXnCoJ0U3b2EfUJP/e4HPiWQdYBmvOaYnWTKK9fHexWTE6I8AIuXLoKZ/3lw4RVVjKcYPoo6+S7yqkr96LM60KEF6hf2+qeV5fTQd+jmYkD4QiPXz3/BYJhHqdMqMGFMxrS+j3W3poqkMzEt79uTHm3SegPhmkH8femp7exMoWMmFyX4Z1tPo2GJdDiNc24LGk0rPKFXFV5NdE24HRwuPS4EQCAv7673TQfEfG8qgXV16UxZYv4XUnBl0nxuqu1D5/v7oCDAy44ehgtCj/Z0WpYMLoSxO86I3rTePJ40b+a7EaCqFNnTK5PiFxToqLIHaOQjqlWV/Aqitz41uQ6AGJ+rhKd/UHaRDQ8ybhSeWFrveJVKgR9bkdGFi3y2lS2gU92tOGLfZ0IhHk8+ekeTb97o4bhBHLISpeW/SJbjK0pxV3fPQIA8MD7O/HeFuWu7a1NvdjeLFoGTp9Up/icbxPrwFeNGUXZkfzZVMrrsMoiDKssQoQXsH5vZ8LPP9nRitW727G5sQeXPPQZVdWbe/zY294PjgOOGlGZ9vs0E47jaN4rwerKKyBZB8xMHHjgg534Yn8Xyn0u/OGCI9KOObP+1lRgzuRaDC7xoKk7gBWbtUUsLPuqEX3BCEYMKs7ZUsPRIysBAFuaetCdQfQLadjKhwEFBDplK13lVWXCFIEOKuhSU17NORSuPnEMfG4HvtjXadoyuVblVc+ULaKKnhgtXkl38CYVlSQZL0ZV15MPq0FduQ9HDK9Euc+Fbn+YNsyYAVFeZ0Tf+0mHiZ/ly/2d6FRIgIjwAt7Y2AgAOOfI1JYBQLxINciKTKVmLTnfPXoYAOA/XxxQvPF+5vN9GAhFMGlIOY5MUlSVyfyEVpquBQAuh3QsVZemPxoWkDyvqZIyHpUNoHh5/QFNsXtaxsLKIR52qyivhLOPGIIrZo0EANy1bIviTbLcMlCu4qU+cXw1Sr0uNHb7sT6JtSYVWnJeCeRavFrhplje4LmrtQ+XPPSpaGuIHtcT6spUP4sVOCxqHSDYoXg1O3FgX3s/7n1HtAvcet6UjFJSrL81FfC6nPh+VGrWepf94jqybDk8Z4HGtWU+jBhUDEEANijcaWqlPc8atoDMlNeBYIQuzcRPmCIQ5XVXq9QsJwgCNaabldpQU+bFxceK6ut97243/PdHeAGtvSQqS/mz603n2NvWj73t/XA5OMwcMxiAGDdGVJJ1OmwvEV6IOfYAUZE+fqy51oGOviBdPiZ2nSEVRRhfWwpeEJW6eD7b1YbW3gAqitw4YWxqywBBbh1QismSc9L4GlSXetDaG0y4mQlFeDz+yW4AwA9PGJX0PGUX5TUTvysg2QZ6k3he97X3Y8VmMTe4qtiNroHY5kAlQhEe3xwik7UqNb0XIhZYwfMazw1zDkOJx4lvDnXjnW9iBR1xWtxBAMqWAYLX5cScSeJAjkysA9TzqqV4VWna6vaHsOwr8Uby/kuOxtAKH3a09OHSf35KM6KtGJElZ3yc8mrFxrJ4imSJA2bwt3e3IRQRcMK4wfjOUcMy+l3W35oqXHLsCHCc2PSRqmt5f0c/vVhdcHRmGyxTjMh7zbe0AUBSXlMpJq9uOIDfvPBFTGg5SRrwuR2qPqsjhlfA5eDwzaFufLJDLBrkHZVmRo796OSx8DgdWL27HZ/uNGYEI6GtNwBeABwcMFilq1vvlK2Po9vnqBGVMRegY9PoDl61ow2Huvwo97kwR7ZcSawDH243p3glx9e42tKY4+SkJNYBYiuaO6VOl0oyYrB25dXtdODcI4cCkG6oCW9tasShLj+qSz30OWqUyKL+rKa8yi/SmSQNAFLx6g/xqk2P/1q1G4IAnDS+GlcePxoA8O/V+5L+3m1NvQiEeZT5XBg5SN2eIYd8lmILJTsQqko8uOL4UQDEAkGuvm5t6sWOlj54XI6YY1CJsw4XVxze3HgoLZtTKMJTK1ayhkMCadpavy82U/r1Lw8hEOZxWF0pvn14PZ6+5jjUlXuxtakXL68XLTfHWNTvShhXG1u8Wj1tAJDFZZnged3T1ocXo3aphd+akLGIaP2tqcKIwcXUw/b06r1Jn/vyugMQBOD4sYOT+siyAc17zaBpK9/SBgBoatja0tiDXz3/BZ5bsx/3vrONPt4sa9ZSOyCGVBThkpmiAvqHNzdDEISYQtln4omlvsKHC48RVce/vbstxbP1Qby+1aVe1QlBZGmmrS+IgAZlO97vSiAXi890FK+kSfK8aUNjbhBOihav6/d2ZDTmUo3P4/yuhJOj1oEPt7XGXJw/2taK59aI7/WcI5IXjvGQrNchFT5NjaDfPVrcF97+uikmd/iRj3YBAC6dOTLlzZTcNmCl0bBAbM5rpsqr/OZJyffaHwzj2c/F723BCaNw4THD4eDETOIdLeqNWxsPdAIQ+ye0NGsBwPenN2DetKH0PGI1rj5xNIrcTny5vwvvyW7OqGVgfE3S+DUAmH1YDUo8Thzs8uOL/fpHt8qP5RINyuu42lJUFbvhD/E03QSQN3iKK6Wjqkvw9DXHxexPVpusFQ8ZVECwesMWABRHp2yZYRv427vbEeEFzD6sxpDvzvpbMwmXRk8iz6/Zr3pRFgQBL0QVDnLRyCVkTOz6vZ1pN6vkp20gufIajvD49Qtf0Mlij3+yG9ubewDIM16TX8R/dtp4lHjEk/vr0egmQLzYxmdTGs2PZ4+Fy8Hh4+1thkxZIxA1Vc0uAcROpUtlV+F5AZ9sj/W7Eo4dLe67G/Z1aiqCu/0hLNskLv3FN0mOHFyChkFFCEUEfLbLWDUaEKeDAZLflTBz9GB4nA4c6BzAzlZxxWbDvk5c+8QahCICzj58CC2stUKO6ZmjtSlBU4aW47C6UgTDPN6MFhbr93Zg3d5OeJwO2uSXDJ/bgZKoSjI8jZgZMzFSeXU5HTTCRylx4OX1B9DtD2Pk4GKcclgthlQU4dQJ4tL3M0lEDb3NWoAomNx70VGWDMUHxJWXy6Pe17+8I6qvWi0DBJ/bidOi6uybaVgHyHfkczs0LZNzHEePUbKis7OlF2v3dMDp4DBvmrRSOramFE9fPRPDKotw7OhBtI/Bqgyt8NFj1OXgNN8k5RKfSZ7XXa19VDG/4VuHGfI7bV28njaxFvXlPrT3Bak/Jp41ezqwp60fJR4nDWLOJRPqy1DicaI3EMbWpp6YnzV1+7G5Mfn0HQBoi0ZlDc6jtAHSwasWjvzghzvxZbRD8bgxgxDmBdz+2jcQBEGWNJB8e9SUeXHNyWMAAH96awv1ZmVjStnwqmJ683SfgeprqpQFQLxATGuoBABc/NCnuPU/mxImjRG+PtSNjv4QSjxOHBl9DWFsjbgEHwjz+OpArCqzZnc7rnx0NS5/+DNc99Q63Pjil/jlc+L0lHG1pYrNRyeOE1dOjG5k84ciNAYpvjmzyOPEMdEi/IOtLdje3IMFj65GfzCCE8dV454fHKl7OWvy0HJ8uuh0/On7R2p6Psdx+M5R4r7wUvSEThqOzj1yqKZpWRzH4d6LjsKfvneE9ZRXAz2vgHxEbOw+KwgC9QhfMWsULQ6Ix/zFdQdUb7LI/pFqOIHduPqk0fC6HNiwrxMfbW/VZRkgfHuqeJ18ZcMBbDqoT32l07VSDCiQE5/3Suw0sw+rSdi3x9eV4f1fn4Jnrz0uZ70rWuE4jloH7NCsBQDFbnNsA39bsQ0RXsCpE2rotShT7LFFVXA5HbjoWFHReepT5bts0un87cOH5CTbNR6ng8NRIxJ9r+9vbcGcu9/Hmfd+iEUvbaQngXj6g2GqGA7Ko7SBZMrrtqYe3LtcLPhuOXcK/nDBEXA7OXywtQXvbm6OsQ2k4uqTxqC61IM9bf14JFowmJU0EM9PThkLBwes3NJCL556ifehEeU1le/xrxcdhW8fXg9eAB77ZDdO+7/38NyafQmROGSq1nFjBicoJxzH0WX41bukfferA1248tHP8d6WFny4rRWvbzyEZz7fh+XRxgq1JkmicBrdtLXxQBeCER41Zd6EHFbx74pF86sbDuLyh1ejoz+EIxsq8cDl09OOQaqv8OlqyJh31FBw0eXtz3e30waZBSeM0vw7vjW5jjauWgn5dqgx4BylNiJ21Y42bG3qRbHHie/PkFbVTplQQ0WNtzc1Jfy+YJjHN4dE4SDVWFi7UVvmo7aGv67YRlVXLZYBwikTalFb5kVTdwDn/O0j/PK5LzRPs6QZrxr8rgTatLW7A+EIT2PkSINnPC6nw/KFK4FYB2xTvFLl1Tgr146WXryyQfxOfzHHGNUVSLN4vf/++zFq1Cj4fD7MnDkTq1evTvr8559/HhMnToTP58Phhx+ON954I603q8RFx4yA08Fh9e72BCVzIBihox7VDoRcQH2v0eL1yU/34IePfU475v+9ei/OvPeDhOaePW19+NNbYhC1xyUtG+YDRP3c2tQTEyEUjvD41QtfIhjhceqEGnz36GEYVV2CH54oNmbc8drXONiZfMKUnFKvCz8/fTwAaVkxW7mNo6pLcH50GezON77RFJcWCEfwyY5W/HHZZpx330cY99s3MeP37+D8+z/GdU+toysONSnUuvoKH/5+6XQ8edVMjK0pQVtfEL954Ut868/v465lm/H57naEIzz1u6oF9Mfnve5r78eVj36O3kAYM0cPwt3fPxK3njsZv/zWYfjRyWPws9PG4cpoI0k8x48dDAcnjlDUOy0vGeS9zRhZpXiRI175Dfs6cajLj7E1JXj0ymM0efSMYkhFEU00+MmT6xDmBcwcPUhzbJOVMTJtAFAfEftYVHW94OhhMZFJLqcDF0aL2Wc+TxQ1tjaJ8+bLfS7Fmxu78+PZY+FxOfD57g48Gt1GWqbFEYo8Trz4k+Nx7pFDIQiiEnrKn97Dn97ajM2N3di4vwuf727Hh9tasHJzc8z4614dMVmEKUPLUexxomsghMc+2Y1DXX5UFLlxejT5wM6QyYR28LsCyjmvwTCvafywGn9bsQ28AMyZVJuwmpcJus/Wzz77LBYuXIilS5di5syZuPfeezF37lxs2bIFtbWJO9snn3yCiy++GEuWLME555yDp59+GvPmzcO6deswdar+ebbx1Ff4cPrEWrz9dROe/mwvbj1vCgBRoXz4w13oDYSj2a7W6UwkZuXP97Tjjte+xsPRRo0Ljh6G86cNw00vbcT+jgFc9OCn+OEJo3HMqCo8vXpvzPLqzNGDbHP3qYUh0QlY/1q1Bx9sbcHPThuP86cNxcMf7cIX+zpR5nXhzgsOp5/5Z6eNx0vrDmB3Wz+dtKZluRUALjp2BB7+aBd2t4mxWdlSXgHgulPH4bUvD2LVzjac+ecP8MfvHZlQKPK8gPe3tuCJT/dg1Y62hGknrb0BtPYGYsacDqvU9tlPHF+NN39+Mh77ZBf+8s427Gjpwz/e24F/vLcDFUVuGpES73clkOJ1ze52tPQEcMUjq9HaG8DE+jI8NH+GrtzFymIPDh9eiS+iS5zfmz4cgiDgw22t+Md7O9DRH8TIwcUYVV2C0YNLMKq6BIcPq0hZZK5V8bsSJtaXobrUi9beAIZW+PDEVTNz4h//zlHD8NH2Vhp1Rm7I7I6RnldAeUTsvvZ+vPONqKrOnzUq4TUXHtOAv63cjo+3t2FPWx9Gysa/Sn7Xyrw6hxLqyn246JgG/GvVHvT4w/C4HLoLwYZBxfjbxUfhhyeMwp1vfIPPd3fg/pU7cP/KHQnPLfY4ccWsUbjmpNFUgNFTvLqdDhw9ogofbW/Fn6MjQ8+fNtRSwyDShcRl2U15Xb2rHTe9vBFfHejC5kPizd6UoeW46JgGnDdtGCqKtJ3ntzf34j9fiOq/kaorkEbxes899+Caa67BggULAABLly7F66+/jkceeQQ33nhjwvP/8pe/4Mwzz8Svf/1rAMAdd9yB5cuX47777sPSpUszfPsilx03Em9/3YQX1+7H5CHlePvrJny4rYX6J783fbilzNLTGirBccC+9gFauP7qjMNw3anjwHEclv3iJNz5xjf49+p9eOTjXXjkY/E5HCcueV46cwROn2j/u1I5v5gzHhVFbjz4wQ7sbuvHL5//An97dxsORhW5350zmRa4gHhy/M3cCfj1C18iHF361qryuJ0O/HruRFz39DoA2fG8EsbVluKpq4/Dr57/Anvb+3HZw5/hsuNGYNFZk+B0cHh1wwE89OGumBGX1aVenDhuME4cX4NjRlWhxx/G/o4BHOgcwIGOAXAccLaODnmPy4FrTx6LH8wYgfe2NuPdzc14f2sLOvvF4qC+3JcQ80KYPKQcJR4nuv1hfPcfn2Bvez+GVRbh8R8em1Zg+EnjqqMDHFowcnAx/vTWFqyWpRlsboxdTSnxOHH+UcNw8TEjFP2KPC/Q0ZFqw0gcDg4/nzMe/9lwAEsuOCKtudpGcObUetz8ylcYCEXQMKhIsyfR6vhc4phJAYKhntctjb14Zf0BfHWgCx9tbwUviDdZ8V3dgOgxP3l8Dd7f2oJnPt+H/3fmRPozvcMJ7MiPZ4/Fv1fvRSgi6LIMxHPUiCo896NZePvrJtz7zjY0dg3A53bC53bC63JgIBTBnrZ+LH1/B/61ajcm1ovfRarpWvEcM2oQPtreir6o4melldJMmDWmGsePHaxp1LQVKIpaKz/Z0ZaQhb3pYDd+9+om/P71b/Dtw4fg+9OHY/qoKsWbDEEQ8OX+Lvzxrc3gBdHiZPTxpmsPCwaDWLt2LRYtWkQfczgcmDNnDlatWqX4mlWrVmHhwoUxj82dOxevvPKK/nerwonjqjFiUDH2tvfjNy9+SR8fMagY5x45BD+ePdawv2UEFUVuHFZbhi1NPfC4HLj7+0fG5DqW+dxYcsEROGNKPW56aSOCYR4XHtOAi48ZEZMpmU/43E785JSxuGLWSPxr1R5axALiVBi5p43w3aOH48lP99BIFz0Xym8fXo8jG0TVryiLxSsgqpfLfnES/vDmZvxr1R48+elerNws3mwRFa7U68LFxzbggqOHY2J9WYJCZMSJoKLYjfOniWp/OMJjw75OfLqzDbPGDlZVpFxOB44eWYUPt7Vib3s/Kovd+NdVx6YdlH/i+Grct3I7XvvyEF7dIN6he1wOXDZzJE4cPxh72/qxu60fu1r7sLWpB4e6/Hj6s714+rO9mDqsHBcdMwJjakogCOJAhMZuP7oGQij2ODE5SVf45ceNxOXHjUzrPRtFideFeUcNw79X78W1J41RjTqzG163E3+9+ChwHAzpMyDF69L3E1W/a6MNmEpcfOwIcQVj1R7sa+/HmOoSjK4pwZqorURP0oDdGFpZhB+eMBoPfLBTU3pFMjiOw9wp9Zg7JbHhWRAEvLu5Gfe+sw0bD3RhXTTNRC1vWw3SRAkAh9WV5o0XucjjxNPXHJfrt6GZM6fUY/nXTagqduPw4RU4YlglDh9WgTKfC69sOIBnVu/DlqYevLz+AF5efwAelwNHDq/AjFGDMGNkFYo9Lry1qRFvb2qkwpODE8Upo9G1h7W2tiISiaCuLlYhqKurw+bNmxVf09jYqPj8xkbldAAACAQCCAQC9N/d3ck78B0ODj87bRx+/cKXmDSkHHOn1GHulHrFi74WwmF9ZmW9zwfE5p0nP92DRd+epJp5duqEWnz0/04DB1hKOU6G1m2h9rwSr4sWsU98ugffHOrGTd+epPg9Ohwcbjl3Cr77j0/AcdIkKS1wHIdbzpmEKx5eTRsG9LzPZGh5TbHHhdvPn4ozp9Tj1y98iQOdovVhSIUPPzxhNH5wbENWRx+6nA7xBKTBXnPsqEH4cFsrfG4HHp5/TMqpUsk4ekQVij1O9AcjcDk4fH9GA/7n9HExKjtBEAR8urMd/169F8u+asRXB7px84GvFH/vtIZK0+PPjGDxuZPxvenDcPQI62RWprPPx7/uzKnGJbscPaIKz63ZjyK3E5OHlmPq0HJMGVaBo0dUqa4QAMDpk2oxvKoI+zsGaO+DHKMKpHS3l9m/98azJuJHs8eaaonhOA6nT6rDaRNrY4rYCfWJangyjmqogtvJIRQRcjoFUwm178Gs7z2Xv3vy0HK8+fOTFH+24ITRuPL4UfhifxeeWb0Xy79uQltfEJ/v7qCjuOUUe5w4dWItLj12BKYMNf5mJPft9wosWbIEt912m67XfH+GqFJlol5wHAe3241QKIRIRF9UhNvt1nXAzTtqGOZpGI9mFzUmnW2XbJuVeF2aFPPpI6vwl4umIRDmVSdMqb92ENbfcoaiHymTfQHQvj8cP64ay35xEv61ag+GVxXh24cPsfwYwUtmjsDe9n5ccPTwjMOmycrD+n2duHTmiBhvYjwcx2HW2MGYNXYw2vuCeGndfvz3y0PoC4Th5MQcRadDHN953anjMnpf2cLndmL6SGv48TPd5wH950EtXHTsCMydUo/yIreu86Hb6cB/rz8Ra/d0YFdrH3a29mF3ax92t/XhqBGVGF6VmV3EiO2Viky2J8dxWfNyy4vY/R0DurdtkceJi48dgc92tidkQucKLd+v0ft7NvYpIP33TWIXpzVUYskFAna39ePz3e1Yu7sDn+9pR/dAGLMPq8GZU+tx0vhqUy15nKBjBlwwGERxcTFeeOEFzJs3jz4+f/58dHZ24tVXX014zYgRI7Bw4UL84he/oI8tXrwYr7zyCr744gvFv6OkvDY0NKCrqwvl5eYGRIfD4bTG4nEcB5fLkvcCWUPvtrP6Nkt3XwCs/9kYDCUy2eeBwtvvM91eqSi07Wk1Un2/Znw/Zu9TgPX2q+7ublRUVOiq8XS9e4/Hg+nTp2PFihW0eOV5HitWrMD111+v+JpZs2ZhxYoVMcXr8uXLMWvWLNW/4/V64fXmJoDfSl+o3ci3bZdvn4fBSAXb5/XBtld+k4vvl+1T2tC9lRYuXIj58+djxowZOPbYY3Hvvfeir6+Ppg9cccUVGDZsGJYsWQIA+PnPf47Zs2fj7rvvxtlnn41nnnkGa9aswYMPPmjsJ2EwGAwGg8Fg5D26i9cf/OAHaGlpwS233ILGxkZMmzYNy5Yto01Ze/fuhcMhefaOP/54PP3007j55ptx0003Yfz48XjllVcMyXhlMBgMBoPBYBQWujyvuSIdPwSDwWAwGAwGw9qkU+NZu62ZwWAwGAwGg8GQwYpXBoPBYDAYDIZtYMUrg8FgMBgMBsM2sOKVwWAwGAwGg2EbWPHKYDAYDAaDwbANrHhlMBgMBoPBYNgGW4xyIGle3d3dOX4nDAaDwWAwGAyjILWdnuRWWxSvPT09AICGhoYcvxMGg8FgMBgMhtH09PSgoqJC03NtMaSA53kcPHgQZWVl4Dgu12/HknR3d6OhoQH79u1jgxx0wLZberDtlh5su+mHbbP0YNstPdh2S49MtpsgCOjp6cHQoUNjJrQmwxbKq8PhwPDhw3P9NmxBeXk5O+DSgG239GDbLT3YdtMP22bpwbZberDtlh7pbjetiiuBNWwxGAwGg8FgMGwDK14ZDAaDwWAwGLaBFa95gtfrxeLFi+H1enP9VmwF227pwbZberDtph+2zdKDbbf0YNstPbK93WzRsMVgMBgMBoPBYABMeWUwGAwGg8Fg2AhWvDIYDAaDwWAwbAMrXhkMBoPBYDAYtoEVrxbigw8+wLnnnouhQ4eC4zi88sorMT9vamrClVdeiaFDh6K4uBhnnnkmtm3bFvOcU045BRzHxfz34x//OOFvPfbYYzjiiCPg8/lQW1uL6667zsyPZipGbDcAWLVqFU477TSUlJSgvLwcJ598MgYGBujP29vbcemll6K8vByVlZW46qqr0Nvba/bHM41sbTdCIBDAtGnTwHEcNmzYYNKnMpdsbbOtW7fi/PPPR3V1NcrLy3HiiSdi5cqVZn8808h0u+3evTvhvEb+e/755wEAX3zxBS6++GI0NDSgqKgIkyZNwl/+8pdsfkzDycZ2I7BrQuxx2tjYiMsvvxz19fUoKSnB0UcfjRdffDHmOeyakN52I2RyTWDFq4Xo6+vDkUceifvvvz/hZ4IgYN68edi5cydeffVVrF+/HiNHjsScOXPQ19cX89xrrrkGhw4dov/98Y9/jPn5Pffcg9/+9re48cYbsWnTJrzzzjuYO3euqZ/NTIzYbqtWrcKZZ56JM844A6tXr8bnn3+O66+/Pmbax6WXXopNmzZh+fLleO211/DBBx/g2muvzcpnNINsbTfCb37zGwwdOtTUz2Q22dpm55xzDsLhMN59912sXbsWRx55JM455xw0NjZm5XMaTabbraGhIeacdujQIdx2220oLS3FWWedBQBYu3Ytamtr8eSTT2LTpk347W9/i0WLFuG+++7L6mc1kmxsN4BdE5SO0yuuuAJbtmzBf/7zH2zcuBEXXHABLrzwQqxfv54+h10T0ttuhIyuCQLDkgAQXn75ZfrvLVu2CACEr776ij4WiUSEmpoa4aGHHqKPzZ49W/j5z3+u+nvb29uFoqIi4Z133jHjbeecdLfbzJkzhZtvvln193799dcCAOHzzz+nj7355psCx3HCgQMHjP0QOcCs7UZ44403hIkTJwqbNm0SAAjr16838u3nBLO2WUtLiwBA+OCDD+hj3d3dAgBh+fLlxn6IHJDudotn2rRpwg9/+MOkf+unP/2pcOqpp2b8nq2AWduNXROUt1tJSYnwr3/9K+Z3DRo0iD6HXRPS226ETK8JTHm1CYFAAADg8/noYw6HA16vFx999FHMc5966ilUV1dj6tSpWLRoEfr7++nPli9fDp7nceDAAUyaNAnDhw/HhRdeiH379mXng2QZLdutubkZn332GWpra3H88cejrq4Os2fPjtmuq1atQmVlJWbMmEEfmzNnDhwOBz777LMsfZrsYdR2A8SlpmuuuQZPPPEEiouLs/chsoxR22zw4MGYMGEC/vWvf6Gvrw/hcBgPPPAAamtrMX369Ox+qCyg59xGWLt2LTZs2ICrrroq6e/u6urCoEGDjHuzFsKo7cauCcrb7fjjj8ezzz6L9vZ28DyPZ555Bn6/H6eccgoAdk0A0ttugDHXBFa82oSJEydixIgRWLRoETo6OhAMBnHXXXdh//79OHToEH3eJZdcgieffBIrV67EokWL8MQTT+Cyyy6jP9+5cyd4nsedd96Je++9Fy+88ALa29vxrW99C8FgMBcfzVS0bLedO3cCAG699VZcc801WLZsGY4++micfvrp1M/T2NiI2tramN/tcrkwaNAg2y7lJsOo7SYIAq688kr8+Mc/jjnJ5yNGbTOO4/DOO+9g/fr1KCsrg8/nwz333INly5ahqqoqZ5/PLLSe2+Q8/PDDmDRpEo4//njV3/vJJ5/g2WeftfUybjKM2m7smqC83Z577jmEQiEMHjwYXq8XP/rRj/Dyyy9j3LhxANg1Id3tZtQ1gRWvNsHtduOll17C1q1bMWjQIBQXF2PlypU466yzYrxy1157LebOnYvDDz8cl156Kf71r3/h5Zdfxo4dOwAAPM8jFArhr3/9K+bOnYvjjjsO//73v7Ft2zZbN4SooWW78TwPAPjRj36EBQsW4KijjsKf//xnTJgwAY888kgu337OMGq7/e1vf0NPTw8WLVqUs8+SLYzaZoIg4LrrrkNtbS0+/PBDrF69GvPmzcO5556rWpTYGa3nNsLAwACefvrppKrrV199hfPPPx+LFy/GGWecYebbzxlGbTd2TVDebr/73e/Q2dmJd955B2vWrMHChQtx4YUXYuPGjTl897nDqO1m1DXBldGrGVll+vTp2LBhA7q6uhAMBlFTU4OZM2cmvXuZOXMmAGD79u0YO3YshgwZAgCYPHkyfU5NTQ2qq6uxd+9ecz9Ajki13ZS2CQBMmjSJbpP6+no0NzfH/DwcDqO9vR319fVZ+BTZx4jt9u6772LVqlUJIwNnzJiBSy+9FI8//ngWPkn2MGqbvfbaa+jo6EB5eTkA4O9//zuWL1+Oxx9/HDfeeGMWP1F20HNue+GFF9Df348rrrhC8Xd9/fXXOP3003Httdfi5ptvNvut5xQjthu7JiRutx07duC+++7DV199hSlTpgAAjjzySHz44Ye4//77sXTpUnZNSHO7GXVNYMqrDamoqEBNTQ22bduGNWvW4Pzzz1d9LomfICeoE044AQCwZcsW+pz29na0trZi5MiR5r1pC6C23UaNGoWhQ4fGbBNAjCsi22TWrFno7OzE2rVr6c/fffdd8DxPbxDylUy221//+ld88cUX2LBhAzZs2IA33ngDAPDss8/if//3f7P7QbJIJtuMeNTj1TOHw0GV23xFy7nt4YcfxnnnnYeampqEn23atAmnnnoq5s+fn9f7VzyZbDd2TUjcbmrHoNPppMcguyakt90Muyboau9imEpPT4+wfv16Yf369QIA4Z577hHWr18v7NmzRxAEQXjuueeElStXCjt27BBeeeUVYeTIkcIFF1xAX799+3bh9ttvF9asWSPs2rVLePXVV4UxY8YIJ598cszfOf/884UpU6YIH3/8sbBx40bhnHPOESZPniwEg8Gsfl6jyHS7CYIg/PnPfxbKy8uF559/Xti2bZtw8803Cz6fT9i+fTt9zplnnikcddRRwmeffSZ89NFHwvjx44WLL744q5/VSLK13eTs2rXL1mkD2dhmLS0twuDBg4ULLrhA2LBhg7BlyxbhV7/6leB2u4UNG/5/e+cdJlV5/fHvnb69F8rCUgWUJihiAxVFY0NjUCwoGkuUREOikURFYyLRJEYTNajR2GNvP0EUFWyg0qV3WNr2vrM79f39MfPemdmd3Z1y+5zP8/DoztyZufPOLec97/d8zwbFv7MUSDFujDG2a9cuJggC+/jjj7s8t2nTJlZUVMSuvvpqdvToUfFfdXW17N9PLpQYN8bontB53NxuNxs6dCg77bTT2Pfff892797N/va3vzFBENjixYvF7eiekNi4hZPoPYGCVw2xfPlyBqDLv2uvvZYxxtjjjz/O+vfvz6xWKxswYAC75557mMvlEl9fUVHBTj/9dJafn8/sdjsbOnQou/POO1lTU1PE5zQ1NbHrr7+e5ebmsvz8fHbJJZewiooKJb+qpCQ7bpyFCxey/v37s/T0dDZ58mT29ddfRzxfV1fHZs2axTIzM1l2djabM2cOa2lpUeIryoJS4xaO3oNXpcZs9erV7JxzzmH5+fksKyuLnXTSSWzJkiVKfEVZkGrc5s+fz8rKypjP5+vy3IIFC6J+xsCBA2X+dvKhxLgxRveEaOO2c+dOdumll7Li4mKWnp7OxowZ08UCiu4JiY1bOIneEwTGGIs9T0sQBEEQBEEQ6kGaV4IgCIIgCEI3UPBKEARBEARB6AYKXgmCIAiCIAjdQMErQRAEQRAEoRsoeCUIgiAIgiB0AwWvBEEQBEEQhG6g4JUgCIIgCILQDRS8EgRBEARBELqBgleCIAiCIAhCN1DwShAEQRAEQegGCl4JgiAIgiAI3UDBK0EQBEEQBKEbKHglCIIgCIIgdAMFrwRBEARBEIRuoOCVIAiCIAiC0A0UvBIEQRAEQRC6gYJXgiAIgiAIQjdQ8EoQREIIgoC5c+fK/jkrVqyAIAhYsWKF7J8VKy+88AIEQcCaNWske8+pU6fiuOOO63W7/fv3QxAEvPDCC+Jj999/PwRBiNiuvLwc1113nWT7JwVLly7FuHHj4HA4IAgCGhsb1d4lRZk6dSqmTp2q9m4QhO6h4JUgFGDTpk247LLLMHDgQDgcDvTr1w9nn302/vWvf6m9az2ycuVK3H///SkXZBiRrVu34v7778f+/ftV+fy6ujrMnDkTaWlpePLJJ/Hyyy8jIyNDlX0hCELfWNTeAYIwOitXrsQZZ5yBAQMG4MYbb0RpaSkOHjyI7777Do8//jh++ctfqr2L3bJy5Uo88MADuO6665Cbm6v27hAABg4ciPb2dlit1h6327FjB0ymUH5i69ateOCBBzB16lSUl5fLvJddWb16NVpaWvDggw9i2rRpin++Fvj000/V3gWCMAQUvBKEzPz5z39GTk4OVq9e3SUArK6uVmeniAj8fj/cbjccDofau9IrgiDEtJ92u12BvYkdfqwnOglqa2vTfabWZrOpvQsEYQhINkAQMrNnzx4ce+yxUW/axcXFEX9zHelbb72FUaNGIS0tDZMnT8amTZsAAE8//TSGDh0Kh8OBqVOnRl0CfuuttzBhwgSkpaWhsLAQV199NQ4fPtxluy+++AKnnXYaMjIykJubi4svvhjbtm0Tn7///vtx5513AgAGDRoEQRAgCEKXz3z//fdx3HHHwW6349hjj8XSpUu7fNbhw4dx/fXXo6SkRNzu+eef77LdoUOHMGPGDGRkZKC4uBi//vWv4XK5umwXDa773L59O2bOnIns7GwUFBTg9ttvR0dHR8S2fJxfffVVHHvssbDb7eJ+r1+/Hueddx6ys7ORmZmJs846C999913Uz3Q6nbj55ptRUFCA7OxszJ49Gw0NDRHbfPDBBzj//PPRt29f2O12DBkyBA8++CB8Pl/U91y7di1OPvlkpKWlYdCgQVi0aFHE89E0r9EI17y+8MIL+NnPfgYAOOOMM8TfcsWKFbj22mtRWFgIj8fT5T3OOeccHHPMMT1+DtD7MTd16lRce+21AIATTjgBgiD0qMflv+XWrVtx5ZVXIi8vD6eeeqr4/CuvvCJ+Xn5+Pq644gocPHiwy/t8//33+MlPfoK8vDxkZGRgzJgxePzxxyO22b59Oy677DLk5+fD4XBg4sSJ+PDDDyO28Xg8eOCBBzBs2DA4HA4UFBTg1FNPxbJly8RtKisrMWfOHPTv3x92ux19+vTBxRdfHHG+RNO8VldX44YbbkBJSQkcDgfGjh2LF198MWIb/pv/7W9/wzPPPIMhQ4bAbrfjhBNOwOrVq7sdR4IwKpR5JQiZGThwIFatWoXNmzfHVJDz9ddf48MPP8Rtt90GAFi4cCEuuOAC3HXXXXjqqadw6623oqGhAY888giuv/56fPHFF+JrX3jhBcyZMwcnnHACFi5ciKqqKjz++OP49ttvsX79ejGA/uyzz3Deeedh8ODBuP/++9He3o5//etfOOWUU7Bu3TqUl5fj0ksvxc6dO/G///0P//jHP1BYWAgAKCoqEj/vm2++wbvvvotbb70VWVlZ+Oc//4mf/vSnqKioQEFBAQCgqqoKJ510khgwFhUV4eOPP8YNN9yA5uZm3HHHHQCA9vZ2nHXWWaioqMCvfvUr9O3bFy+//HLE94uFmTNnory8HAsXLsR3332Hf/7zn2hoaMBLL70Usd0XX3yBN998E3PnzkVhYSHKy8uxZcsWnHbaacjOzsZdd90Fq9WKp59+GlOnTsWXX36JSZMmRbzH3LlzkZubi/vvvx87duzAv//9bxw4cEAsMuO/SWZmJubNm4fMzEx88cUXuO+++9Dc3Iy//vWvEe/X0NCAn/zkJ5g5cyZmzZqFN998E7/4xS9gs9lw/fXXxzUO4Zx++un41a9+hX/+85/4/e9/j5EjRwIARo4ciWuuuQYvvfQSPvnkE1xwwQXiayorK/HFF19gwYIFPb53LMfcH/7wBxxzzDF45pln8Mc//hGDBg3CkCFDet3vn/3sZxg2bBgeeughMMYABFYy7r33XsycORM///nPUVNTg3/96184/fTTI47xZcuW4YILLkCfPn1w++23o7S0FNu2bcNHH32E22+/HQCwZcsWnHLKKejXrx/uvvtuZGRk4M0338SMGTPwzjvv4JJLLgEQCKYXLlyIn//85zjxxBPR3NyMNWvWYN26dTj77LMBAD/96U+xZcsW/PKXv0R5eTmqq6uxbNkyVFRUdCvTaG9vx9SpU7F7927MnTsXgwYNwltvvYXrrrsOjY2N4n5yXnvtNbS0tODmm2+GIAh45JFHcOmll2Lv3r29ykgIwlAwgiBk5dNPP2Vms5mZzWY2efJkdtddd7FPPvmEud3uLtsCYHa7ne3bt0987Omnn2YAWGlpKWtubhYfnz9/PgMgbut2u1lxcTE77rjjWHt7u7jdRx99xACw++67T3xs3LhxrLi4mNXV1YmPbdy4kZlMJjZ79mzxsb/+9a8Rn9F5X202G9u9e3fEewBg//rXv8THbrjhBtanTx9WW1sb8forrriC5eTkMKfTyRhj7LHHHmMA2Jtvvilu09bWxoYOHcoAsOXLl3fZh3AWLFjAALCLLroo4vFbb72VAWAbN26M2HeTycS2bNkSse2MGTOYzWZje/bsER87cuQIy8rKYqeffrr42H//+18GgE2YMCHid3zkkUcYAPbBBx+Ij/HvF87NN9/M0tPTWUdHh/jYlClTGAD297//XXzM5XKJvxX/nH379jEA7L///W+X7x7OwIED2bXXXiv+/dZbb0UdR5/Px/r3788uv/zyiMcfffRRJggC27t3b5f958RzzPExW716dbfv1/n7zJo1K+Lx/fv3M7PZzP785z9HPL5p0yZmsVjEx71eLxs0aBAbOHAga2hoiNjW7/eL/3/WWWex0aNHR/wOfr+fnXzyyWzYsGHiY2PHjmXnn39+t/vb0NDAALC//vWvPX6vKVOmsClTpoh/82P+lVdeER9zu91s8uTJLDMzUzzf+W9eUFDA6uvrxW0/+OADBoD93//9X4+fSxBGg2QDBCEzZ599NlatWoWLLroIGzduxCOPPILp06ejX79+XZYnAeCss86KyNTwbN9Pf/pTZGVldXl87969AIA1a9aguroat956a4Qm8vzzz8eIESOwePFiAMDRo0exYcMGXHfddcjPzxe3GzNmDM4++2wsWbIk5u82bdq0iAzamDFjkJ2dLe4TYwzvvPMOLrzwQjDGUFtbK/6bPn06mpqasG7dOgDAkiVL0KdPH1x22WXi+6Wnp+Omm26KeX8AiBlrDi+I6/y9pkyZglGjRol/+3w+fPrpp5gxYwYGDx4sPt6nTx9ceeWV+Oabb9Dc3BzxHjfddFNExusXv/gFLBZLxGelpaWJ/9/S0oLa2lqcdtppcDqd2L59e8T7WSwW3HzzzeLfNpsNN998M6qrq7F27dqYxyAeTCYTrrrqKnz44YdoaWkRH3/11Vdx8sknY9CgQd2+NtZjLlFuueWWiL/fffdd+P1+zJw5M+JYKi0txbBhw7B8+XIAAenHvn37cMcdd3SR6/CMeH19Pb744gvMnDlT/F1qa2tRV1eH6dOnY9euXaL0ITc3F1u2bMGuXbui7mdaWhpsNhtWrFjRRTbSE0uWLEFpaSlmzZolPma1WvGrX/0Kra2t+PLLLyO2v/zyy5GXlyf+fdpppwEIXQMIIlWg4JUgFOCEE07Au+++i4aGBvzwww+YP38+WlpacNlll2Hr1q0R2w4YMCDi75ycHABAWVlZ1Mf5zfLAgQMAEFWjOGLECPH5nrYbOXIkamtr0dbWFtP36ryvAJCXlyfuU01NDRobG/HMM8+gqKgo4t+cOXMAhAp5Dhw4gKFDh3bxK41FcxnOsGHDIv4eMmQITCZTF61u56CspqYGTqez23Hx+/1ddJWdPyszMxN9+vSJ+KwtW7bgkksuQU5ODrKzs1FUVISrr74aANDU1BTx+r59+3YpSho+fDgAyGpxNXv2bLS3t+O9994DEHAqWLt2La655poeXxfrMZconX+jXbt2gTGGYcOGdTmetm3bJh5Le/bsAYAeZTq7d+8GYwz33ntvl/fiUgn+fn/84x/R2NiI4cOHY/To0bjzzjvx448/iu9lt9vx8MMP4+OPP0ZJSQlOP/10PPLII6isrOzx+x04cADDhg2LcIUAIMo6Oo9f5/ONB7LxBMwEYQRI80oQCmKz2XDCCSfghBNOwPDhwzFnzhy89dZbEbpCs9kc9bXdPc6CWkA16G2f/H4/AODqq68WC3Y6M2bMGHl2LkjnYJgTnhGVi8bGRkyZMgXZ2dn44x//iCFDhsDhcGDdunX43e9+J46P2owaNQoTJkzAK6+8gtmzZ+OVV16BzWbDzJkzVd2vzr+R3++HIAj4+OOPox57mZmZMb83H/vf/va3mD59etRthg4dCiCgGd6zZw8++OADfPrpp/jPf/6Df/zjH1i0aBF+/vOfAwDuuOMOXHjhhXj//ffxySef4N5778XChQvxxRdfYPz48THvV09o8RpAEGpAwStBqMTEiRMBBJbxpWDgwIEAAlmzM888M+K5HTt2iM+Hb9eZ7du3o7CwUMz+dRf4xUpRURGysrLg8/l69fYcOHAgNm/eDMZYxOdG28+e2LVrV0TGbvfu3fD7/b16mxYVFSE9Pb3bcTGZTF2y37t27cIZZ5wh/t3a2oqjR4/iJz/5CYBAd7C6ujq8++67OP3008Xt9u3bF3Ufjhw50sUSaufOnQCQtDdrb7/l7NmzMW/ePBw9ehSvvfYazj///Igl6mjEesxJxZAhQ8AYw6BBg8SMdHfbAcDmzZu7Pe64NMRqtcbkO5ufn485c+Zgzpw5aG1txemnn477779fDF755/7mN7/Bb37zG+zatQvjxo3D3//+d7zyyitR33PgwIH48ccf4ff7I7KvXE4i9fgRhFEg2QBByMzy5cujZka4LjLeZfHumDhxIoqLi7Fo0aIIe6mPP/4Y27Ztw/nnnw8goOEcN24cXnzxxYjOWZs3b8ann34qBl4AxCAq0Q5bZrMZP/3pT/HOO+9g8+bNXZ6vqakR//8nP/kJjhw5grffflt8zOl04plnnonrM5988smIv3kXs/POO6/XfT3nnHPwwQcfRCzRV1VV4bXXXsOpp56K7OzsiNc888wzERZT//73v+H1esXP4pmy8N/f7XbjqaeeiroPXq8XTz/9dMS2Tz/9NIqKijBhwoQe9783evstZ82aBUEQcPvtt2Pv3r2itKEnYj3mpOLSSy+F2WzGAw880OWcYoyhrq4OAHD88cdj0KBBeOyxx7p8X/664uJiTJ06FU8//XTUCWT4scnfl5OZmYmhQ4eK39npdHaxYxsyZAiysrJ6tHr7yU9+gsrKSrzxxhviY16vF//617+QmZmJKVOmdPtagkhlKPNKEDLzy1/+Ek6nE5dccglGjBgBt9uNlStX4o033kB5ebmo/UwWq9WKhx9+GHPmzMGUKVMwa9Ys0baovLwcv/71r8Vt//rXv+K8887D5MmTccMNN4hWWTk5Obj//vvF7XjA9Ic//AFXXHEFrFYrLrzwwrjM4v/yl79g+fLlmDRpEm688UaMGjUK9fX1WLduHT777DPU19cDAG688UY88cQTmD17NtauXYs+ffrg5ZdfRnp6elzjsG/fPlx00UU499xzsWrVKrzyyiu48sorMXbs2F5f+6c//QnLli3DqaeeiltvvRUWiwVPP/00XC4XHnnkkS7bu91unHXWWZg5cyZ27NiBp556CqeeeiouuugiAMDJJ5+MvLw8XHvttfjVr34FQRDw8ssvd7vM27dvXzz88MPYv38/hg8fjjfeeAMbNmzAM888k7QV0rhx42A2m/Hwww+jqakJdrsdZ555pug1XFRUhHPPPRdvvfUWcnNzYwo84znmpGDIkCH405/+hPnz52P//v2YMWMGsrKysG/fPrz33nu46aab8Nvf/hYmkwn//ve/ceGFF2LcuHGYM2cO+vTpg+3bt2PLli345JNPAAQmOqeeeipGjx6NG2+8EYMHD0ZVVRVWrVqFQ4cOYePGjQACsoqpU6diwoQJyM/Px5o1a/D2229j7ty5AALZcX4cjBo1ChaLBe+99x6qqqpwxRVXdPt9brrpJjz99NO47rrrsHbtWpSXl+Ptt9/Gt99+i8ceeyyiQJMgiDBUcDggiJTi448/Ztdffz0bMWIEy8zMZDabjQ0dOpT98pe/ZFVVVRHbAmC33XZbxGPcJqezDc/y5csZAPbWW29FPP7GG2+w8ePHM7vdzvLz89lVV13FDh061GW/PvvsM3bKKaewtLQ0lp2dzS688EK2devWLts9+OCDrF+/fsxkMkXYZkXbV8a6WjQxxlhVVRW77bbbWFlZGbNaray0tJSdddZZ7JlnnonY7sCBA+yiiy5i6enprLCwkN1+++1s6dKlcVllbd26lV122WUsKyuL5eXlsblz50bYOPW074wxtm7dOjZ9+nSWmZnJ0tPT2RlnnMFWrlwZsQ23ffryyy/ZTTfdxPLy8lhmZia76qqrIuzHGGPs22+/ZSeddBJLS0tjffv2Fa3SOn+nKVOmsGOPPZatWbOGTZ48mTkcDjZw4ED2xBNPRLxfolZZjDH27LPPssGDBzOz2Rx1TN98800GgN10001Rx6Y7YjnmErHKqqmpifr8O++8w0499VSWkZHBMjIy2IgRI9htt93GduzYEbHdN998w84++2yWlZXFMjIy2JgxYyJs3BhjbM+ePWz27NmstLSUWa1W1q9fP3bBBRewt99+W9zmT3/6EzvxxBNZbm4uS0tLYyNGjGB//vOfRfuy2tpadtttt7ERI0awjIwMlpOTwyZNmhRh+8ZYV6ssxgLnxpw5c1hhYSGz2Wxs9OjREb8tY91fAxgLHMsLFizoaTgJwnAIjJHSmyAI/XP//ffjgQceQE1NjdhQgYiPDz74ADNmzMBXX30l2jARBEFoDdK8EgRBEACAZ599FoMHD45oxUoQBKE1SPNKEASR4rz++uv48ccfsXjxYjz++ONJu0wQBEHICQWvBEEQKc6sWbOQmZmJG264Abfeeqvau0MQBNEjpHklCIIgCIIgdANpXgmCIAiCIAjdQMErQRAEQRAEoRsoeCUIgiAIgiB0gy4Ktvx+P44cOYKsrCyqgiUIgiAIgjAIjDG0tLSgb9++MJliy6nqIng9cuQIysrK1N4NgiAIgiAIQgYOHjyI/v37x7StLoJX3t/54MGDyM7OVnlvCIIgCIIgCClobm5GWVmZGOvFgi6CVy4VyM7OpuCVIAiCIAjCYMQjC6WCLYIgCIIgCEI3UPBKEARBEARB6AYKXgmCIAiCIAjdQMErQRAEQRAEoRsoeCUIgiAIgiB0Q9zB61dffYULL7wQffv2hSAIeP/993t9zYoVK3D88cfDbrdj6NCheOGFFxLYVYIgCIIgCCLViTt4bWtrw9ixY/Hkk0/GtP2+fftw/vnn44wzzsCGDRtwxx134Oc//zk++eSTuHeWIAiCIAiCSG3i9nk977zzcN5558W8/aJFizBo0CD8/e9/BwCMHDkS33zzDf7xj39g+vTp8X48QRAEQRAEkcLI3qRg1apVmDZtWsRj06dPxx133CH3RxMEQRCE6lQ2deBQgxNZDiuy0yzIcliRYTPHZcpOpB5+P0OH1wen24d2d+C/mQ4L+uWmqb1rqiN78FpZWYmSkpKIx0pKStDc3Iz29nakpXX9EVwuF1wul/h3c3Oz3Lsp4vV6wRiL+3WCIMBi0UXDMtmINnZenx/1Tg+KMm1dLtRaH7NEjwVA+9+NIKKRzDEPpN5x39N4tbq8+GRLFT7YeBTf7atH581MApBmNcNiFmA1m2AxCbCYTbhwTCnmTRsGIPXGU2vw39fl9aPV5UVBhi3ieTl+H/6Z/1t9EA8u3g6Pr+vx9eaNJ2L8gNyEP8MIx5Um937hwoV44IEHFP9cr9eLgwcPwuPxiI+1e/zYUt2OTUfbsb2mAycNyMQlx+Z2ea3VakVZWZnuD4hE4WO3eGsdNlW2o7LVg8oWD2ravPAz4OyhWbjz9NKI12h5zKIdC/Gg5e9GENFI9pgHUuu4jzZeHV4/1h9x4st9rfh2fytcYYFHSaYFHV6GNrcPXj/gZ0Cb29flfZ//Zj8uGRIYv1QaT60R/vve+fEhbKvuwMszy5GXFvotpP59wj/zhW8ORASudnMg+ePyMbzyzQ7kTi5O+HOMcFzJvuelpaWoqqqKeKyqqgrZ2dlRs64AMH/+fMybN0/8u7m5GWVlZbLuJwAwxuDxeGA2m/HhtiZ8tqsR22va4fOHttlV58IVx0dmkr1eLzweT1IZC73DGMPu6lb87euqqM/vrnPDbreLf2t9zMKPhXhPcK1/N4KIRjLHPJB6xz0fryYXw+rDTny7vwVrDrXC5Q19/wG5NpwzPBfThuWiT7ZNfJ3Ly9Dq9qHD64fXz+DzA3VtHty5+AA8fga73Z5y46k1ws+H3XUuuH0MtR0CSnMD9zE5fh/+ma0ehr31bgDAG1cPR3GmFSZBwMr9zZj/cQW+O+jEvCldVzNjwSjHlezB6+TJk7FkyZKIx5YtW4bJkyd3+xq73R4R6CjNoRYvHv/mqPh3SZYVY/tm4tMdDWh1++FmJmTYzBGv8fm6zqBTjb0NgZOtLNeO604oRd8cG+qdXvxhyT54WWC2F44exsxisXTZ71jQw3cjiGgkeswDqXfcL9/bgoe/rIQ/LA4oybLi9MG5mH5MHkaWpEcNMGw2ICs98rGmdi+AQEbWZLbAgtQbT00imNHmDmSwfDBFnBty/T4/VgVkk4MLHCjLzxAfP2lQHhyWQ6hu9WBfoxfHFKd39xY9YoTjKu7gtbW1Fbt37xb/3rdvHzZs2ID8/HwMGDAA8+fPx+HDh/HSSy8BAG655RY88cQTuOuuu3D99dfjiy++wJtvvonFixdL9y0k5pt9LQCAsX0zcN85A9EnOxBIr9zXjFa3DzWtHmTkm3t6i5TkYGMgeB3XLxPnjcwHAGytbAOAqLodgiAIPbP+iBN+BvTPseO8kfk4dVA2hhamJZQRs5hDr/H6GXUQ0ghNLq/4/y6vv4ctpWPdocB9c0L/rIjH7RYTThyQha/2NuHrvU0JB69GIO7zY82aNRg/fjzGjx8PAJg3bx7Gjx+P++67DwBw9OhRVFRUiNsPGjQIixcvxrJlyzB27Fj8/e9/x3/+8x9N22R9sy9QIDZ9RL4YuAJAUWZgxlXV4lZlv7RORTB4HZgXGjN+Qfb6lTnpCYIglIJLBC4dU4g5J5ZiWFH0TGssWE1hwStN9jVDc0coS9nhUeY+tv5wKwBgQv/MLs+dNjgHAPDNvqaor3V5/Zj7zi788dP9su2fFog78zp16tQetRLRumdNnToV69evj/ejVKHO6cW26nYAwKmDciKeK8myYl99B6pbEy9oMDIVTYHgtTzfIT7GL8iUeSUI7cIYw5YjzbD5GdQTbOkPd7Agwm5JPk8annn1+BlslHrVBBHBqwKZ15o2Dw42uWESgPFRgteTy7NhEoCdNe2obHGjNCvSAeGjrXVYFwx+f3fmAEmOTS1izG+VBKsqAj/6saXpKMyI1H0VZwYOEsq8dsXnZzjcFAjqy/PCgldz4BCj4JUgtMtjn+3CjH9/h7c2Nai9K7rCHbyu2S3J+7WaBAHByyVdLzVEk8LB68ajgeTZ8KJ0ZNm75hfz0q0Y3Segg/12b2T21etn+N+6avHveqdxE20UvHZi5YGA1oSn5sMpCc5wqltTL3itqHNi8+HoyxQAcKihPZAtMAsozQ7NBEOyAboYE4QWqWruwNNf7QEQ0HASseMOygZsZmlupVZT4H1IZqUdmjuU1bxuOBo4ByeUdc26cviq8FedgtfluxtxpDkUn9S2eWFUKHgNo6XDKx44pw/O7fJ8sah5Ne5spjtmP/89Ln1qJQ43tkd9fndNIGM9INcOU5jmK1w2oHdrDoIwIo99tkvU8u2uc9F5GgcuMfMqUfBqJpmV1mhSUPPKGMOGI4F7bOdirXB4cm394Va0unzia19ZE2lVSZnXFOHrXbXw+oGyHFuEbpOTqpnXRqcb++uccPv8WHsg+rLinppAxnpAXqRizhIMXhkAuh4ThLbYXd2KN9ccBBDo+NTq9qMyBSfnieL2cs2rNG1e+fXSQytVmkFJzWtFQzuq27wwmwJuR90xIM+BAXl2eP0M3x0IFJh/X9GCXbXtcFhMGN8vkLWtbTPuuUzBaxjLtgW0IqcOyo76PM+8Vrfq3+A3HvbVton/v+lQY9Rt9ga3Gdg5eDVTBS1BaJW/fbIDPj/D2aNKMKI0kOnZVRt9dYXoCte8SiYb4DIrulZqhnCrrA6vvL/Ld3vrAQCjitORZu3ZjrOz68ArawNZ14uPK8CgYPKtjoJX4+P2+vHlrloAPQWvgcxru8ePFpf+TX5jZX9dKHjdeCi67lXMvOZGBq8R9i+UTSAIzbCuogFLt1TCJAB3TT8Go/oErns7azpU3jP9ILVswELuLJojPPPqklk2sCoYvB7fr/usK+e0oO511f5mbDrainWHWmE2AVeML0ZBsNi8jjSvxuf7fXVo6fAi12HGyOLobWsdVhNyHIHZUCrZZe2rDRVxbDncBF+nIJQxJgavPWVePT4qQiAILcAYw1+WbAcAXDahP4aVZOHYvpR5jRcp3QaAMM0rTfQ1g9SygYo6J2YuWoX31x+OeJwxJmZej49ikdWZY0szkJtmQYvLhwc+OQAAOGd4PkqybKJTUh1pXo3Psq2BlPvkARkwm7q/EKWiXdb+MNlAm9uHvcHiLE5NqwstHV6YBKAsN9JzLtz+hTKvBKENlu+oxg/762G3mHDHtOEAgGN55rWWMq+x4vJK5/MKhMsGaKKvFZo6wmUDyf8u/Nz7zVsbsXJ3rfj4rupW1LW5YTMLGFUSPYEWjtkkiKvE3GHgqgnFAID89IDFFskGDA5jLCJ47YmSrJDuNVU4EJQN8Jj+x07Sgd3VgWC2NMsaVfvF7V/0uhTGGFOsLSBByI3Pz/DwxzsAANedUo6+uYEb5TGlmRAA1Du9hi70kBKpNa8Wfq2kib5mkNptgBf5+fwMt762Try/8kD22BJHzMdTeCOlU8qzMbggcC5T5jVF2Hy4GUebOpBuM2N83557Bada5pUxJhZsnTK0EACwqZPf655g8FqWE5l15eh9Kez19TU4698bsXJ/9z63BKEXPttWhR1VLch2WHDrlKHi4+k2i7hysrOG/F57w+Pzg1/SJJcN6HSibzT8jEXUt0iRxHCHZdUbnR78/MU1aOnwYOWeOgDAuD49xyDhnDggG2nWQBh39cQS8XGuea13ervI/IwCBa8APt1aCQA4dWhBr8s/xWLmNTWC1wanRzRpvmBMHwDAxk6OAzzzOiA3evDKixD0WEHLGMO7m2rgZ8BrYZ1LCEKvcBnQWSNLkJMe2UVwaEFAs76jOnbd6yfb6/HS6krpdlAnhGfhJJMN6PhaaUTa3KEJCiBN8MprP84eVYKSbDt2Vbfijtc34Lu98QevDqsJf7twMP50XjnG9g3pZPPSLDAJgJ8Bje3GLNqi4BUhvevZI4t73bYkmHmtThEvRJ517ZvjwAnl+QCArUeaI4qvRKeBHGvXN4C+M6/76l043BSYqKw71IqjzS6V94ggkqMlOBnNdnRtPTk0PxC87oox88oYw1+XH8SiVUdTZkLPcXtDGTmbWSKfVx1fK41IcydXISk0r/ze2T8vDc9cMxF2iwmfb69Gc4cXmXYLhhfae3mHSMb3z8KZw/IiHjObBOSmBXWvBpUOpHzw6vX5sb2yBQAweXB+r9sXBxsVVKXIhZpnacoLM1BekIEshwUurx+7qkJFW7FmXvW4FPbN/uaIv5dsq1dpTwhCGlo6AjezLEfXyebQ4I1zR01smVen2w9nMAPZ7tHf+Z0MPJCxmQUIgkSyAcq8aopwpwFAquA1pJMeW5aLRy4bIz53YnlejwXj8VCQzu2yKHg1JO2e0MGZkxY9cxhOSbBRQU2KNCrgHq/lhRkwmQSM7hcQiP8YlA60dHhQ2RyoTu5N86rHCtpv9gUmNhOC1iUfb6uHPwV+d8K48MxrVg+Z16PN7oie7t1R3x66MaaamwiXDUglGQD0vUplRJpdoQkKALgkmKDxgi1rsCjr4nH9cMe0YRAE4KKxfZJ+f06hwb1eKXh1B4JXQYjtIsQPCLePGVZLEg6XDZQXBHQ4o/sHg9dg0RaXDBRl2pBpj94RRK8X5Jo2D3bUtEMA8PtpA5BhM+FIsxsbDrf2+lqC0CrNYvDadbKeaTejT1DXvzOG7Gu9M3QNTL3gNXDvkKpYCwiTDehwom9EeOa1NLjiKqVswBrmKHDHtOHY9sdzcf7o0qTfn1OQEZic1pJswJjwzGua1RzT0o/NYhI91FLBLkvMvBYELMTG9s8FEMq8cqeBIUXdW4xZdGqVtaoi8N1H98lAn2w7zgrqikg6QOiZkGyga+YVAIYXBex2YnEcaAgPXnV2fieL2xuZlZMCbiuYahMBrcI1r7xQu8PrT3rFlZ8n1k6THkcv7WDjJT8oG6gn2YAx4cFrui32AydV7LIYY9gf7K41qDAQnHLZwI7KFnR4fNhdw4PX7juCiLIBnV2QVx4IBK+8h/T5owoAAF/sakSbO3XaAxPGojXYqz2zm+B1WGGgL3osjgP1zhSWDQQLtuwSebwC4ZnX1BpLrcIzr/yeD4S8fRNFzLya5A2/+CpxLckGjIkzGITEM+tJlUYFta1utLq8EASgLD8gG+ifl4b8DBs8PoYdlS1isdbgHjOv+rsgN7d7sPFoIHA/fUggeD2uNB0D8uzo8PqxfHejintHEInTk9sAEF/mNVw2YFQ/ye7gmleblJpXHV4rjYyYec0MSWySbVTgFmUD0mXso1Fg8EYFKR+8drhDsoFYETOvBncc4JKBvjlpYnAvCJFFW7HJBvSXef1yVy18DBiYZ0dZbiATJQgCfjIy4EixeGudmrtHEAnTk9sAAAwrDASvFQ0ucXLfHQ1hun+9adqTRQ7Nq15XqYwKL9jKS7eKE4tkda9i5lXCSU80CjOM3SI25YPXRGQDYubV4F6vvFiLSwY4Y4NFW2sPNOBAfSA701PwGnIb0M8F+bNtgYYEp5ZnRTx+3oh8mARg45E2HGokz1dCXzDGenQbAAJ90QszrGAA9tT1LB1oSGHZgByaV5INaAueec1xmOEIdrJKPngNal4llJtEg2te65zGdEZK+eA1EdkAz7wa3ZT7gGiTFdnxY3SwaGvZ1ir4/AyZdgtKsro3Vtab24DL68OXOwN9pk8blB3xXFGmDScOCAS0S7ZR9pXQFx0evxhkdpd5BYBjgtKB3nSvKS0b8MpglWXS17XS6LR08ODVIv7OycoGeObVJnPwyjWvLi9Dm9t47hUpH7yKbgMJZF6rDJ555cVa3GmAMyaYeeVFS0OKMnp0aghpXvVxAq3aU4c2tw/5aWYcU5zW5fmfjAwUbpHnK6E3uGRAEICMHq55w4sDE9YdveheI2QDKZYtDMkGpPR5DboN6ORaaXSaeOY1zQJH8HdOtkVsZ59XubBbTMgMnuO1BpQOUPDqTtxtoKbNbehsQ3eygZJsB0qyQ5nWIcXdOw0A+tNxfRpsF3zywEyYogTlpw3OQZbdjKpWD3m+ErqihTsN2C09TjjFoq1eM6+pKxtwySEboMyrony48QjO+NsKbDnS1OU5xpioeQ3IBiTWvMpcsAWEvF6NqHul4NUTv2ygIMMKkwD4/JHLZkaCMSYWbA0s6KpnHd0vV/z/ob0FrzryefX7GT7jweuA6Dpeu8WEY0sDmamjzcaWjhDGIuQ00HM3wWOCmde99e1ipqgzLq8/YjlSAv92XeHySL/8ayXNq6K8t+4Q9tW24dMtVV2ea/f4xN8hW0LZAJ/kyZ15BcJaxBrQcYCC1wQyrxaTIOpJjKp7rWkJVBqbBGBAfnqX53nRFtCzxyugryKEjYcaUd3iQobdjDF9ukoGOGLjBcqQEDqitwYFnJJMK7IdZvj8wN76jqjbNHTqMJhqmVfR51VKtwGT/opb9czhxsDKQkV9V3lMYzDgs5oEpFtNomwg2cyrUrIBIMwuy4BerxS8euK3ygKM36iASwb65aVF9TEcHRa89pp51ZFs4Pt9ge5Zpw4p6DGjokcHBYLozWmAIwiCKB3YUxtdOlDfKZujh/NbSngGTkrNq0Vnxa16hjGGww3dB6/cSSPbEei+yYNXt1eiJgVKygYo82o82hPweQWM36igc1vYzoztn4t0mxn5Gbaomdlw9GS8zd0ninpwTwBoeY/QJ715vIbTN6hrr+xmgt7gTO3MqxyaV5oUK0dzu1csOj5Q13PwCkB6qyyZfV6B8C5bxotTep5+pwAht4H4hsL4mdfItrCdycuw4a1bJsNmNsFqNsHj797MXE/ZhNCsuOcLix4bLxBErJlXACjJ6vka1zl4NXLxajRcMrgNhAq2UkxArAJcMgAAta0uON1epIfFAY3OwHGfEwxe7RLJBpSyygJCmtfOqyRGgDKvYuY1vqEoNnrmtbbnzCsAHNs3B8NKsrp9nhPScWn/guwJXpj4TaQ79CSFIAgOD14z7b0Hr6W9WAJ2viGm2ipEyOdVysyrfopb9U548Ap0lQ40tgeO75zgRM8hsc8raV6Tg4JXscNWfJnXEt6owKCZVy4b6C7zGg9GzLxadeZdSxBAeOa1d9lAb5nX+lQv2AreOyR1G6CCLcU43BAZrFZ0kg50JxuQzudVAc1reiCuMaJsIOWDV6c7cAF2xOE2AADFmcGshAEzr35/yCarXILglVtl6eGC7BFtTHq+sJjJj5HQIbG6DQCh4LWyxR21vSSXDfBFilSTDcjaHjbFxlINjjRFumh0ybzy4NUurWxAUausYOa1xeVLOujWGikfvLYHlwDidhsIXtjr2jy6CMriobrFhQ6PH2aTgP553dtFxYpFR0vsnhhtTKiwgtAjIZ/X3oPXogwrBABuH0Nje9dlRy4b4Lq6VAu4ZG0PS9cV2eFOA7zTXOfgtUHUvAbOFS4Pka5JgfzhV5bdLE6ujOZJn/LBa0cCPq8AkJ9ugcUkgMF4NhTcJqt/XpokJ5ieLsix2piQNo3QIy2u2N0GbBaTaLUTbYWJ3wz5KpQeJqdSEmoPK4PbQIqNpRocCmpeTxiUD6Cr40BjZ9mABJpXxljIbUAB2YAgCMjnjQoMJh1I+eDV6QnKBuLMvJoEAUWZxiza6s0mK170tBTmiXFJh9wGCD3SGofbABDS9kfTvfImBUXBbbzdG44YElnaw5IFn2IcCQavJw8pAAAc7LZgKzJ4TWb5Pfx3VcIqCzCu12vKB6/t7sRkA0Ao42C44LVWumItQF9FCHHLBih4JXREPG4DQKTuNRyvn6EpGLxy55VU07zKYZUlXivJKktWOjw+1LS4AACTBxcCAA42OCOO4VDBVtBtQAKf1/ACXyWssgDjer2mfPDa4UlMNgCELuxGC173iTZZPTcfiBU9GfrHLBvQkRSCIDjNcbgNAN07DjS1e8EACCDNq6TBK8mRFKEyWKzlsJowsk8WrGYBHh9DZXOoiIvLBrr4vHoS/23Cg1clNK9A6Pwk2YCBYIyJbgNpCQSvYubVYAdFfVvgRlWc7ZDk/fRkvM1vGpbeZAM6CsgJghOP2wAAlGbz4DXyGsclAzlpFtgsqbkKIbaHlVI2QJNiReAer/1y02Axm9A/L5CoORCUzLm9frS6eHGjdLIBdzB4NQkhxxq5Eb1eqWDLOLh9fvDrbWLBa+DCXtNqrIPCmWARW3foqTI/1P2k5wuLhZb3CJ3h9vrFG292rJnX4AS9s2yAOw3wwlUgBWUDQZGvjQq2dAd3GugXDFrLgi3Oue61sT1wvAsAMm3StYf1xpgckRLu9UqZVwPBu2sBiWle023SmBZrjUQbN3SHuBSmgwtyzE0KKPNK6AyedQWAzFgLtrqRDXCP1/x0S0pKaHz+UNW4pE0Kwq4r0bx1CWkIZV4Dq4sD83nmNRi8BidnWXaTmCGVwm1AydawnFCXLQpeDQMP0iwmISH9CX+N22AX7bbgcolUmVeLngq2xJlxrJlX7X8nggAgLoNm2MwxL1mWBoPXeqc3YpLObbLy0qy68nGWCleYtYKUmld+XWEAdHC51C3hsgEAGBAMXrnXa0NQOscbFACh39mVRFfFWGsqpKRQlA1Q8Ionn3wS5eXlcDgcmDRpEn744Ycet3/sscdwzDHHIC0tDWVlZfj1r3+Njo6OHl+jBDzzmohkAAgtLRvtot0uk2zAWJnXYNcwHXwnggDCnAZizLoCAb0fzzjVhBWm1rentmwgPPsmpVVWeFCjh8m+XgnJBoLBa0Gn4DXYoIDrXYEw2UASmVe3V7nuWhzu89rg9BrqHI17BN944w3MmzcPCxYswLp16zB27FhMnz4d1dXVUbd/7bXXcPfdd2PBggXYtm0bnnvuObzxxhv4/e9/n/TOJwvXdiYiGQDCxfXGkQ0wxtDm5plXaWQDeipCILcBwqg0d8TeoIAjCAJKsrrqXhvEzKslrCAzdc4Fnnm1mKQtvOGttIHUGk+lOdIUCF775nSTeRVlA2HBqyW00upPUNKhZHctTl66BQICmfymDuPU58Q9go8++ihuvPFGzJkzB6NGjcKiRYuQnp6O559/Pur2K1euxCmnnIIrr7wS5eXlOOecczBr1qxes7VKwG2yks28Gkk24PKGitjS7alYsBVjkwLSvBI6oyXOBgWcaLrXkObVmpISGp59k1q7GP52erhe6hG/n+FoY2DlV8y8BoPXRqcHTe2esNawoR/EESYPSbTORdS8KtSgAAgkj/KCRVtG8nqNawTdbjfWrl2LadOmhd7AZMK0adOwatWqqK85+eSTsXbtWjFY3bt3L5YsWYKf/OQnSey2NHDNa6KZV3Hp2EAXmfAitvQEx6UzeqqgFWfGpl6C1xS8YRP6piVOj1dOtOCVuw3kpVvEiZyRliR7Q47WsEAg021NwUy2ktS0uuD2+WESgNKgHWSG3YLCoHvQwXpnqDVsWAIn3FUiUemAWwXNK2BMr9e4puC1tbXw+XwoKSmJeLykpATbt2+P+porr7wStbW1OPXUU8EYg9frxS233NKjbMDlcsHlcol/Nzc3x7ObMeNMUvOqJy1nrHDJgM1ikszOQ18+rzHKBijzSuiMeD1eOaVZXb1euc9rXroFra7AddRgpis9IkdrWI7VLMDjZzQxlglerFWa7Yi4xw3IT0dtqxsV9U6xYCtcNmASBNjMAtw+hg4vQ6Y1/t9etMrqJTkiNQUZFuyqNZbXq+wjuGLFCjz00EN46qmnsG7dOrz77rtYvHgxHnzwwW5fs3DhQuTk5Ij/ysrKZNm3ZLprAaEAxkiyAamLtYDQiaqHDHWssgErZV4JndHawU3X45UNRGpeGWMRsoFU1H/ze4ccwStJkuSlc7EWZ0CYXZZYsNVJOseLtpKVDVgVlA0AxrTLimsECwsLYTabUVVVFfF4VVUVSktLo77m3nvvxTXXXIOf//znGD16NC655BI89NBDWLhwIfzdZOLmz5+PpqYm8d/Bgwfj2c2YSbZgy2ZA2UAbD14lkgwAoSDfx7S/tBi6uPRilSVKIVIo3UTompagVVamPc7gNbicWtXqDr6PT1xtyktLddmA9EEITYzl5UgnmyzOgIIMAIGiLV6wle2I/H1Fr9dkNa8kG0iauM48m82GCRMm4PPPPxcf8/v9+PzzzzF58uSor3E6nTB1SpGbzYHAqDsTZrvdjuzs7Ih/csCzjI6k3QaMc5Hh7XLT47zB9YQ1rBpX6xdkfnHpbVknFbNNhL5pScBtAIjUvDLGRMlAhs0EuyVk4q71c1tKQgVblHnVG1w20Ldz8Co6DrSFCrY6Z16TbFTgjnFlT2q412ttm3FkA3FHKPPmzcO1116LiRMn4sQTT8Rjjz2GtrY2zJkzBwAwe/Zs9OvXDwsXLgQAXHjhhXj00Ucxfvx4TJo0Cbt378a9996LCy+8UAxi1aI9SdmA6DZgoOybLLKBTt6FEsbFksJYeNccAT05EYtdw+gGQ+iE5gTdBoqDLWJdXoamDp/YoID7R6ZigZHYGlYOzSuXWaXQeCpJb7KBinon2oI67ixH5H3Qnmzm1au8VRYQ8GMGQoWWRiDuMOLyyy9HTU0N7rvvPlRWVmLcuHFYunSpWMRVUVERkWm95557IAgC7rnnHhw+fBhFRUW48MIL8ec//1m6b5Eg7UnKBsTlcD8S9n3TGm2yaF5DF3gt3+DCbxa9XVxSMdtE6JtE3QZsFhMK0i2oc3pR1eIWl1T5DTEVmxS4gpk3qd0GgPBiUD8AdRM8RqRzdy3OwGCjAh7cAjJqXlXLvKZw8AoAc+fOxdy5c6M+t2LFisgPsFiwYMECLFiwIJGPkhWeeXUkXLAVOgCNonttl7hBARAI9MxCQPOq5UxleLOJ3jtsRfYgFwRlNUwEES+Jug0AAelAndOLyhZ3RIMCACnZHrZDzLxKH4SQDZ+8dBe8FmXaYbeYIgLTLsFrkrIBNdrDAqFkVKIZYy2ibPivMUTZgDWxQC38ANRyRjEe+HJJovZh3aGHAiePN/QbWnqzyqIe5ITOaE1QNgBE6l7rRZusQDbHiNr/3pDTbYBs+OSjucMjrkB0lg2YTIIoHQCADLu5S5CZtGxAJc2rEY+p1A5eRZ/XxIYhIng1yEHBA/oMiYNXruPS8jiF+9Baemn5GB7cptJyKaFfRNmAPT7ZABBpl1XfRTYQOLdT6TxwyViwpaemLnqDOw3kpVujri6GB695aV3PE0fQ2zVZtwGlg1ebAYNXjZbOKEMoeE1sGEyCAItJgNfPDJN5dcogGwDCKmg1PE4hGxNTrzKAcAcFj4aL0AiCk6xsAAg0KvCF2WQBAHeL8rHuHWSMBpcNyGGVlYqZbKXgetbOTgOcAQWh4DU33dbleS4bcCUpG7DJoJXuCYuYPNLuyme8pPQt15lke1ggMEv2+plhLjRcNiBlwRYQ5l2o4XHisoHeJAOdt6HCCkLr+PxMLMZMJHgtDZMNmIITO+42EOEmYpx7Y49wzaNdTtmAhif6eqU7j1dOeOY1Nz1K5pUHrwnex9SyyuKZVz14rcdKSgevHUm6DQCBC027xzizZDmssgB9LIW541jSMQkCzKaA04SWvxNBACG9KxC/2wAQqXnl2UYuG7CGucukyrnArbLkKLzRU0dCvXGoMbpNFmdgeOY1imzAbpWqYEsdzStgnHM0pYPXZH1egdCMxigZh7agbCBRKUV36MF4mxeTxXphsZgE+AyUdSeMS3NQMmC3mGBLYKm7JOj1Wuf0ite8vE5WWYBxboy90aGEVVaKjKWSiB6vMWRe8zK6lw3ozec1PHh1+xi6fjP9kdIFW1zfmWiHLSA0S3YbJIDhmVfpC7a0n3nlsoFYizDEIjQNfyeCAIBWV2Ier5zcNIsYqPFrXX4wMxV+H9by+S0lIbcBGdrDmrUvsdIrvckG+uf1XLDFVx2S93lVWvNqvOLylA5e+exZisyrUQIYp1smqyyxCEG7KWouG7DEmnnVgRSCIIDwBgWJragIgiBKB4DAdS896NIiBAtXgdQ5F2RtD5uCHcuU4nAvsgGH1YzSbAeAnjWvCcsG/OpoXgVBCFsl1u49OB5SOnjlsoFkAjWjzZJ5NjojBWUD8c6K9VCERhBAck4DnJLMUPCal26JcOQIBa8Jv72ucIluA2SVpRfcXj+qW1wAuncbAIChxZkAgJJse5fn9CobAELnqFFWiVNa88oDtWQLtgDjzJKdchVs6aBftzfOSlAjGj8TxiTZzCsQchwAQk4DnFRrESurzytZZclCZVMHGAu0eC2Iomfl3HvBKHy1swZThhfhyMEDEc+JBVs6kw0AAYmL0+MPHlf67wiZssGr38/E1H9ymVftm+/Hg1yyAT0EeiEPvvhkA0aZuBDGRcy8JtCggMMbFQAhj1dOqi11y+rzSplXWTjU6AQQyLr25ON9TGkWjinNgsfj6fJc8j6vwboKGY6b3oi8B+s/eE1Z2QC/+ACUeQ1HlA1I7Lqvh0BP1Lz20l2LIy6ValjHSxAA0CxB5rUkIvPaKXg1p1bmVdb2sDroRqhHjjR2AOi+WCsWHJbkOmzFY8coNXpIIMVDygavvKoeSM5twGhLPE4JvG+joQd9aNyygRTLNhH6JVm3AaBz8BpdNpA6mldqD6s3erPJigWHZLIBFYNXgxxXqRu8ekLLPuYYM23RMJJswOdn4kVZ6syrHk6cRGUDWg7ICQIIyQYyJdK8dicbSLXMqxwFW3oobtUjFfUB2UD/bpwGYkGvVllAyNbNKMdV6gavEmk7bQaaJXPJACB9wZaurLJinMzooQiNIIBQwVZ2EsFrUWaY5rWTbEAPk1MpCVllyeDzmmK2Y0qxr7YVADC4KDPh9whZZSX223hUag8LhE+KtHsPjofUDV55d60kl8eNpCPhkgFBkL4QQQ+WYvEu6RjptyeMjRRuA3aLSdS6di8bSI1zgVtlyeLzStcVWdhX2wYAGFSYkfB7JG2VpaJswGaw4yp1g9dgoOZIMsNopIyDU+yuZemxGjMRRHmFhsdJ1LyS2wBhMEI+r4lrXgFg1vhinFCWhdF9IgMAsygbSOrtdQFjTN72sCk2EVCChjY3GpyBc6C8IIng1RpabUvk91FTNmCkWAVIYassp0eawiQjaV5F31uJJQOAPjIzouY11g5bOihCIwhAmswrAFw1oQRXTSjp8ngqrUKE6x3lKdgyzj1FK+yrC2Rd++Q4krq/ha9Iur1+xPtOoRbkKhRsGczFImUzrx0SmfEbqT1sKPMqffCqB9lA/JpX4/z2hLEJBa/JZV67I5UKtsI9PuUIQvQw0dcb+2qSlwwAgfs9vzt0eJPIvKru86p/UjZ45YFaMjZZgLH0SaEGBdIn5PVgYs5nxfHKBrQckBMEEOY2ILGLCEcMuJjxzwWudzUJgBwxiNGCDC0ghd4VAARBEKUDiTgOaMLnVcP34HhI2eC1XSLZAJ95G2GW3B6UDUjtNADo44Ls9ccnGwhdDFJA6EfoFsaY6POajNtAT1hSSPPK9a4Oq1ny2gCAfF7lgMsGkg1eAcBuTrxoyxPn6p6UkFWWQeA+fckGanoIymKlzSXNmERDD/pQd5xiej00XiCINrcPPA6STTZgoOtgb8jZGhbQxyqV3uCygcFFEgSv1sS7bPF7hRrtYckqyyA4JfJ5NVKHLadEAX009JCl5LIBS6wFWzpwUCAILhmwmEJLnlKTSprXDo+8wase6gP0BGMsTDaQuMcrxyE2Koj/91FTNkBWWQYhJBtIbhnNSDoSZ3BpMUNOzauGT5y4fV4p80rogHCnATmWuYFU07yGZANyQIWg0lLV7EK7xwezSUiquxYn1KggcdkAWWUlT+oGr2LmNbkhMJKORKpsdDSsOtAGhzSvsV1YaHmP0ANyOw0AqZUt5JlXh1yyAX6tTIGxVIK9wc5aA/LTJcl4JlOwxeMEsspKHgpepXIbMEAA0y6nbEAHmVd3nLIBI+mdCeMit9MAEGpSkGDjIV0htoaVSYJhtAyZ2kjlNMCxJ9hly+dnoqxGVbcBg9yvUjd49UhjC2UkHUmbi7sNyCAb0ME4xSsbsFBVMKEDpGpQ0BOp5E3KrbIcFnllA5R5lQapPF45iWpewwul1PB5NVKsAqRw8OqUKPOqh+XwWGmXqHFDNPTQ8jBe2QDdZAg9oKhsQMPnt1SErLLkkg1Q5lVK9ktokwWEfvd4M6/hwasaVln8uHJruGg6HlI2eO3wSKN51cNyeKy0cZ9XGZYX9ZB55bKBeDOvWnZQIAguG5DL4xVIrcxryG2AMq96YG9QNjBYYtlAvJrX8N9THbcBY2mpUzZ4ldxtwAAHBM9Gp8tQRauHzIxoIE1uA4SBUFI2YBALyR5RyiqLMq/J4/X5UVHnBAAMksDjFQhzG0hQNmA2CaJGXEmMFKsAKRy8SlVZbzPQhUYZ2YB2727x2pjowf6LIHh3LTllA6mUeZXbKit8LFkKWI/JyaGGdnj9DA6rCSVZDkne05Fg5jXeJjhSwz/XbZD7VcoGr9J12DKO/UQbD15lkQ1of5y8cdqYUIaE0APN3G1AzsyrDlZWpMLFrbJkcxsIvW8quDfICXcaKC/IgEmibGfimlf1nAbCP9co52jKBq9SWWUZKYBp55rXVLXKitttwFgXA8KYkNuAtPCgRW7ZAJAa4yknot5VIskAANgtgd8nUbcBNTxeA5+r/XtwPKRs8OoMBmrJLv2EtJxJ75LqtMkpG9BBZiakeSW3AcI48IItZWQDsn2EZpC7YCu8Et0ISRE12RdsUCCV0wCQhGzAG9/9RWr4cUWyAZ3D7U6SDdSM1GErpHlN7fawJBsgjIQSmVc9WOFJhUtmqyyzSQCPX2linBz7a4PFWoWZkr1nok0K4vURlxqbDhJIXoKqSQAAZEdJREFU8ZCSwavX5xeXiCXrsKXziwxjTMxGy5F51YMmjt8oYjWQtlDmldABPHiV0yrLrIPzWyo6eJMCmQq2gNSSYciJ1N21gMQzr/y3VEs2EKrPMcbySEoGr9wmC5DWbUDPlaEurx/8OkmaV2oPSxgHJd0GfCkQbHHZgE3GLkm0qpM8HR4fDje2A5DO4xUIL9iKU/PqVTfzSm4DBoAHr4KQvOg+XFyv5yCGW4cB8sgGrDow9Bc1rzFWpYpSCA1/JyK1YYyJmtdMGVxEOOLkNAWCLdEqS87g1WQsQ3k14J21ctKsyMuwSfa+YpMCT4JWWRZ1rbKMks1PzeA1zGlAEJI7kPhFBggdnHqkLZidsVtMshgoh5uY+zWaoeaTj1gzKnqQQhCpjcvrF49ralIgDR0eBWQDBioEVot9NdJLBoDwJgX6ssoyUn0OkKrBq0Qer0DnzKt+rzRSjkk0IrwLNXryxCuoJ7cBQutwj1dBADJkWFHhpNJEjhf7ymWVBZBsQAqkbgvL4bKBRK2y1ApeyW0AwJNPPony8nI4HA5MmjQJP/zwQ4/bNzY24rbbbkOfPn1gt9sxfPhwLFmyJKEdlgKeeZVi5mw2CeDxq1vH02SnjE4DQKcgX6MX5HhlA6IAXqPfhyB4sVam3SKZSXs0UlHzapfJbQCgibEUyFGsBSSTeVW3w5boNmCQYyruSOWNN97AvHnzsGjRIkyaNAmPPfYYpk+fjh07dqC4uLjL9m63G2effTaKi4vx9ttvo1+/fjhw4AByc3Ol2P+EkKpBAcdiFuDzMl3LBpwu+ZwGgMiA0OtjkDEJlDBxywboBkNonFbRaUC+Yi0gXP9t/HPBLWpezYBMX9dCmdekEYNXCRsUAGGaV68/riJtt0YKtvReXM6JO4R49NFHceONN2LOnDkAgEWLFmHx4sV4/vnncffdd3fZ/vnnn0d9fT1WrlwJqzVwAS0vL09ur5NE6iVyq0mACwzuOJcRtIRTxgYFQMi70M+0ubTo9zMxa0RuA4RRUMLjFUhVzasJcMvzGankmysX++XKvFqDxzqLT5PsjfP+IjXhn2uESVFco+h2u7F27VpMmzYt9AYmE6ZNm4ZVq1ZFfc2HH36IyZMn47bbbkNJSQmOO+44PPTQQ/D5fFG3VwKnhLIBIFwIrd8rd5vo8Sp/UYcWT5xwx4BYl3XCv48RZrKE8Whq5921ZA5eU0nzKnN7WCC1xlMOmpwe1LUFZhblBfLIBoD4vF7Vbg8b2XZYlV2QlLiuaLW1tfD5fCgpKYl4vKSkBNu3b4/6mr179+KLL77AVVddhSVLlmD37t249dZb4fF4sGDBgqivcblccLlc4t/Nzc3x7GavSJ555f5pOj4i2mXOvAKBcXL7WHCZXR3dT3eEZ08DM9Tef8vwi4GPASo5oBBEtxxuDHQY6pOTJuvnpFKmMKR5NcdwlUgM7mJDqzqJsS9ok1WSbUeGxBZxlmCdi48Brjh+n5BsQF2rLMAYx5XsUwC/34/i4mI888wzmDBhAi6//HL84Q9/wKJFi7p9zcKFC5GTkyP+Kysrk3Sf+MUn2QYFHIto/qvf4JVno6Uak2iELsjaGyePNzzzGp/mFSDdK6FNDtYHTNrL8uUNXs0pFLwq4vNKmdek2FfbCkB6yQAACIKQUItYta2yTIIA/tEpF7wWFhbCbDajqqoq4vGqqiqUlpZGfU2fPn0wfPhwmM2hoGjkyJGorKyE2x1dMDR//nw0NTWJ/w4ePBjPbvaK5LIBsXuU9oKyWOGtYZWw09GybMAkIGaf20gHBf3+9oRxOdgQyLyW5aXL+jmp4kvq8flFbTz5vGqXutZAbFGc5ZDl/bldVjx1LqLbgIyTnt6wGcghJ65RtNlsmDBhAj7//HPxMb/fj88//xyTJ0+O+ppTTjkFu3fvhj/s5r5z50706dMHNlv0rhd2ux3Z2dkR/6RE6iVyI8gGFMm8atiqI5FZcXjm1QgzWcJ4HKwPBq/58gavqSIb6AhrLS6rz6sO2mlrGX4/k1oywAnZZSUQvMpoWdcbRioyjvvsmzdvHp599lm8+OKL2LZtG37xi1+gra1NdB+YPXs25s+fL27/i1/8AvX19bj99tuxc+dOLF68GA899BBuu+026b5FnIiyAQmtsoD4ZmFaI3Syy5hN0HLBVgI2JoIgkF0WoVkYYzjUEJQNyJ15TZHgNbxAR4kmBUYfT7ngHSMzZbqfiXZZcay2ulVuUgAYa1IU97Tk8ssvR01NDe677z5UVlZi3LhxWLp0qVjEVVFRAVNYy9SysjJ88skn+PWvf40xY8agX79+uP322/G73/1Oum8RJ06JfV5tZuPIBhRxG9DgiZOogbTFJMDrZ5oMyInUpqbFBZfXD5MA9MmVZ/mUkypNCsRiLYsp6dbiPaHlib4eaHXJez8Leb3G/vvwBIeasgEeOBthUpTQLzt37lzMnTs36nMrVqzo8tjkyZPx3XffJfJRstAuFmxJc2DzA8IQBVsy6riMJhsIbC+gw2uMiwFhLLjetU9OmuzZnnCNppFt45RoDQto+1qpB/j9LFNm2UAiVllqZl5tqSwbMAKhDlvSfH2xZ7ABNK9yygasGs4mJHphIdkAoVWUchoAOjlvaPD8lopQgwL5rpOAsTJkaiBmXmW6n/FGBYloXm0qWWUB2i6ajpfUDF5Fn1dpZmVGkg1IlY2OhkXD45SobMBqoIsBYSzEYi2Z9a5A6tjGiTZZMgevJBtIDn4/01LmldfEUOZVGlIzeOVWWVK7Dej4gOBjkqGE24AGL8iJyga0rOMlUhvRJktmpwGgc+ZVe5NTqXCFt4aVEStZZSVFq0vaBFVnEtG8akE2YE1Vqyyj4JTabcAAsoE2BZsUaDN4TezCEtKm6fe3J4yJorKBsBULPU/ie6PDywu2lMm8GjmLLSfOoGxALhkcn7x0xHHdT3R1T0qM5DaQksFrh8Q+rzYDdNgKed8qIRvQ3olDsgHCaCjVoAAIdu8JnjpGnsjxgi2lMq90XUkMbpUlV9Mdh24zr9pd/YyXlAxe2yUW3YupeF1nXvnJLn/BlhazCckWbGkxICdSF6/Pj6NNHQCUkQ0AqdEi1uVVqGArBcZSTtpkblKQmGxAfc2rGKsY4H6VksGr1LZQ/EKj58yrEh22tFzpmLjmVbtSCCJ1OdrUAZ+fwWYxoSjTrshnWgzQJrs3lLLKspBVVsIwxkKZV5llAwlZZanq82qcZEtKBq8dHpnaw+r0gPD6/KJeV65lFkDbJ06iFxbyYyS0CHca6J+XBpNC7Si1fH5LhdikQCGrLC1O9LWO2+cXkwlabA+rplWWkeQoKRe8MsbCbKEkDl51KhtwhvXrlrdgS7tLYYn2nSZLG0KLKKl35Zg1LAuSCtEqS+aCLS1fK7VOmyt0P5Nf8xpPe1j1ZQNklaVj3D4/+PVA8uBVp8tlvFjLJMi7HGYR9TbaG6dELyyUeSW0iJJOAxyxQt7AVlkdClllWQxUWKM0XDLgsJrECZXUiJrXOK77vCZGE5pXAxxXKRe8drhDF1bJNa86zbyGV2bK26878F8tnjjeJGUDWvxOROqiRubVSDY83RHSvCqTeQ1bFCNipE3mBgVAcppXiwZkA0ZItqRc8Or0BA5si0mQbAYU0nrpM3hVolgLCPN51eCJk7RsQKe/PWFMxO5aCjkNACHZgJHPBaUyr0ayNFIanoyR0/bRbgn8PolYZdk0YJVlhGRLygWv7TIEajwI1mvmtV3iArbu0HJBR7IdtugmQ2iJgw1B2YCCmVe+aGHkc0Hp9rBGHku54JpXuYq1gDDNazyyAQ1oXo20OpJ6wavE3bUA/WtelZipAtq2yuITD6slsSYFWswmE6lJh8eHmhYXAGU1r3pfgYoF3h5WbqssLU/0tU5IBiffBCORgi1tNCkgzatukSfzqu8LTbvEHce6Q8tNCniRSfwFW8a5GBDG4FBQ75pltyAnzarY56aC20CHUk0KzOQfnShyNygAADtvD5uIbCDOBImUkNuAjpEj82rTe8EWD15lPNmB8Myr9sYpWdmAES4GhDHgTgP989NlLcDsTCrov5VqD0sWfIkjd4MCINHMq/qyAS23aI+XlAte5ShOsujc57U9WJ2ZrlTLQw1W0IqygTgrQamwgtAaIacB5SQDQGroNBVrD0typIQJtTpXQPPqZWAstt/ILboNqOnzapyMfsoFr1J31wL0r/VyKiUbEE8c7Y1TorIByrwSWkMNpwEgtTKvsreHFScCsn6MIQllXuUPXhliy74yxsI0r+pbZRkho59ywauoeZVSNsDdBnR60Q7JBpSpoNVioOfxktsAYQzEBgVqZV41eH5LhXLtYY0TZChNyG1Avt/IHiYbaY/BjNfnZ+AJWlWtsrjE0QDnaMoFrzzLKOWyj0XnmldRNiCz24CWL8iJzoppeY/QGqJsQK3MqwbPb6lQqj0sTYoTR4nMq8UkiMVPPKboifCEjbpuA8bJ6Kdc8CqHp6ne3QbaFJMNaDfQcydoY2LVcBEakZqoJhvQuXwqFhRvUqDBa6XWUULzCgBpwWPA6YoheA27P6gZvNrEFu36P65SLnjtkMNtQOc+r0pZZWk5M+MltwHCADS1e9DcEbh59yfZgOQo1R7WYiILvkRRokkBEApeebDcEx5vePCqnuaV3AZ0TMhtQLoD26pztwFn8OSTckyioeVsQqKt+8iPkdASPOtamGmTXQbUGbHDlk4n8bHgUjjz6mcBvSQRO0o0KQCAtOABH4vmNWSTJShqX9cZm4HccVIueJWlw5bOq2x5QC/3ya7l1nQhG5M4Na8a/k5E6sEbFPRXsC0sR8wWGvhcUKo9LL+uAMaeDMiBEk0KgDhlA/z+YlI35LKSbEC/hDpsSffVw2fJerzQKGWVpe0mBYlpXs1UWEFoCNFpQGG9KwDwlXQtnt9S4PMzcZIru1VW2CTaCJXhSqJEkwIgXDbQe/Dq1oBNVvjnuw1wv0rh4FVK2UBoGPWoe+Unu9zLjHzWqUXZQKKaVy1LIYjUQ60GBYDxNa+usO4qcmdeLWGZV72u6KkFl8EplnmNyW2At4ZVO/NqnHM09YJXGWUDQMgvVE/I4cAQDSNbZWnxOxGph1pOA4Dx7Z14sRYgf/BqNgnglyIKXuOj1aWw20BMBVvqt4YFQppXI9yvUi94laFJgdkE8JDH5dNg79NekKNlbjS0XJnvJrcBwgAcbOANCtQLXo0abPHMq9UsiHIhOTFSZbhS+PxMnGQo5zYQu1WW2sGrkXTpqRe8ypBlFARB144DToVmqnyMtFg9m6jmNWT6rL/fnTAWjDGxYKssXz3ZgBFujNFQyiaLo/dCYDUIt61SSvMak2zAqw3NK7kN6Jh2j/QdtgD9dtlijMGplGxAwzc3r6hJIrcBQp/UtLrQ4fHDJAB9c1XUvBp0IqdUgwKO0TPZcsDrNwIdsOT9nRyWOGQDCa7sSY3ei8vDSbng1SkWJ0kbqOm1y5bL6xd7LqfLvMxiCdPbMKatceK/W7xWJrS0R2iF6mYXAKAw067KTVI8F3So+48FbpOlWOaVri1xE96gQG4/VZ55bY+jYEsrwSugz+LycFIvePXwg1ue4FVvmVc+UwWk1QFHI/zE0dp5k2h7WB7salEKQaQWfPky06FscwJOqmRe7QpnXvUeZCiJUg0KAL1aZYWOXb1PilIveHVJb5UFhJaP3Tor2OI3PLvFJHsRgjUsq6m1aseEZQMGqt4k9E2bQtr17jC+5jUoG1A880rBa6y0KWSTBSRmlaV25tViEsBv83pLtHUmpYJXr88vzoCknpmFMq/6unA7FepGAkQab2tNMJ6oJsnoN2xCP/Abt9za9e4wukaTF2wpr3mla0uscNmA3BI4ILRSqSefV8A4GX31R1JBnGE9iKW2hbLq9IDgYnO5JQMAYBZClmJauyCH2sMm6jagre9DpB58VSlTgRt3NPh92ajnArfKktvjlUOZ1/jh97NMmZ0GgPD2sPop2AJCjgOUedUR/OIuRyUiv3Dr7YBod8ujAY5GuKWY1nRxCTcpoOwIoRG4ObsSWadohDpsaevclgqXaJWlcOZVZ6t5atKqULdIIE6fV41oXsP3Qe+TotQKXnmW0WaWvBJRrwdEmwztcntCi0thPj8THRfindRYwjKvWnNQIFILsS2myrIBo2ZeOyjzqnmUXH1IzOdV/ZArZOup7/NU/ZFUEH6QyaEJ06vbAL/hpSt9QdbQDS785hCvbCC8BzndYwg1aVNQvx4NPpHTm3QqVjpk8gjvDqNriOVAbA2rpGxARz6vQChBo/fzVP2RVBCxOEmGLKNedSROBWUDQPjSonaC1/CTOG7ZQNj2Ho1JIYjUQkmboGho8dyWkub2wPgqVbBlFYMMY46nHCjpuJEWlI+0e/zw95KM0YpVVvg+6H1SlFLBa1uYbEBq9FrB51RaNqDFzGvYhMMaZ5OCCPsvuskQKqJkpXU0jBy8NrS58er3BwAAo/pkK/KZlHmNHyVXH9LCJjHtnp6lA1qxygLCVkh0lmjrjPojqSDtMmZeRbcBnR0Q7Qrr5Hiwp6UbHNfoWUwCTHF63YZfi4yq9SP0gVNBj8toGDnYeuSTHWhwejC8JBNXnDhAkc80SoZMSdpk6qAZDbtFEN1z2nqRDmgpeLXpNFbpTEIj+eSTT6K8vBwOhwOTJk3CDz/8ENPrXn/9dQiCgBkzZiTysUnDD2w5Mq9Wneq9QgVbympetRTo8ZPYksCSjiAI5DhAaIJWjcgGtLSqIgXrKhrw+uoKAMCfZoxWLADRYnGr1glZZck/gRMEIcwuq+fMK0/WaMHnVa+xSmfiHsk33ngD8+bNw4IFC7Bu3TqMHTsW06dPR3V1dY+v279/P37729/itNNOS3hnk6VdptawQLitib4OiHYZi9iiocWK5GRnxdSDnNACoYJUdQu2jGSV5fX5cc97m8EY8NPj++PEQfmKfbbVwJlsuVDaLs4R7MjYW+ZVS5rXUGGlvu9Xcd+tH330Udx4442YM2cORo0ahUWLFiE9PR3PP/98t6/x+Xy46qqr8MADD2Dw4MFJ7XAycE1YmlXGgi2dXWjaFPTFA7QZ6PF9SdT716zBgJxIPfi5rF6TAu2d28ny8ncHsPVoM3LSrPj9T0Yo+tkWkg3EDZ/AKdGkAIjdLktTsgFeCKizRFtn4hpJt9uNtWvXYtq0aaE3MJkwbdo0rFq1qtvX/fGPf0RxcTFuuOGGmD7H5XKhubk54p8UiPpOGQ5svVplVdQ7AQCFmTZFPk+LsgGpMq9a+k5E6iG2h1Xoxt2Z0KqKvq6B3VHd3IG/f7oTAHDXucegINOu6OeTHCl+lGxSAACOoAygrZcuW7zRhBaCV6Nk9OMaydraWvh8PpSUlEQ8XlJSgsrKyqiv+eabb/Dcc8/h2WefjflzFi5ciJycHPFfWVlZPLvZLXLqO/XoNuDy+rD+YCMAYMJAZZbDtJid4SdxIppXgG4yhDbgujslbIKiIbaHNch58KfF29Dq8mJsWS6uOEGZIq1wKPMaP0q3SE6zBn6j2DOvWpIN6Pu4knUa0NLSgmuuuQbPPvssCgsLY37d/Pnz0dTUJP47ePCgJPsjp8+rHjOvPx5qgtvrR0GGDUOKMhT5TG02KUhONhDqsqWf354wHm0yrizFgpEKttYeaMCHG4/AJAB/uvg4URqkJKKDjUEmA0qgpNsAEMq89ha8ujUlG9BfrBKNuKK4wsJCmM1mVFVVRTxeVVWF0tLSLtvv2bMH+/fvx4UXXig+5g/e4C0WC3bs2IEhQ4Z0eZ3dbofdLv0SjdhNSg63AR3aT/ywrx4AcOKgfMnb5XaHRYtWWcnKBoLfiTKvhFp4fX50eALHsWqZVwNlCtdXNAAApo0swej+Oarsg5HGUwkYY+IETrnMa2xdtrSkedVi3UkixDWSNpsNEyZMwOeffy4+5vf78fnnn2Py5Mldth8xYgQ2bdqEDRs2iP8uuuginHHGGdiwYYNkcoBYkbMaV48XmvDgVSm0mHl1JysbMMjFgNAvzjCTdLU1r4wBPg2d34nQ4HQDAPrmpqm2D0bRJipFh8cPftgp5XXMZQNtsVplaSB4tegw0RaNuH/hefPm4dprr8XEiRNx4okn4rHHHkNbWxvmzJkDAJg9ezb69euHhQsXwuFw4Ljjjot4fW5uLgB0eVwJ5My82nSmefX6/Fh7IJBdUCN41VLmNdm+0+Q2QKgN1/pZzQLsFnWDVyAQcJlN6uyHFDQ4PQCAnDSravsgJkS8dF2Jhdawoqk0q0JuA5bYMq+ibMCivuZVr85InYk7eL388stRU1OD++67D5WVlRg3bhyWLl0qFnFVVFTAFGeLTaVwyuhpqjfN67ajLWh1eZHlsGBEqTLtDgFt6uJ4ZiPRWTG5DRBqo3SVdTQ6B68OhQIIOWgMZl7z0tULXinzGh/OsG6R8XZKTBSHlbsN6Mcqi++D3o+rhK50c+fOxdy5c6M+t2LFih5f+8ILLyTykZLAsxOyyAaCJ4tLJ8Hr9/vqAAATB+YpWoyg6SYFCc6KyW2AUBunwm2eoxEevGppZSURGtoCmde8DGUsBKOhRymamijdoACIPfPK7w0WDST29FifEw31R1JBnB75fBD11oc6pHctUPRztagPTfbCYtHgdyJSC575UUrrFw2zKdTr3aNz5w2uec1NVy94pUlxfIQaFCh3Dji45jVGqyybBmQDKdseVs+EMq+pLRtgjGH1fuWLtYBQdkZLBR1JNynQYDaZSC3aVMg6RcMoE7nGoOZVTdmAhWQDcdGqsE0WEJZ57aVJAY8LtCEbMIaWWv2RVBBZfV51VLC1u7oVDU4PHFYTRvdT1gZGi24Dyc6K9ZZ1J4xHmwZkAwDATyGvzs+FBlHzqmLm1SAZMqVwqrD64NBhe1ijHFfqj6RC+P0M7R75OmzpaTbzfVAycPyAPNgsyh4CIbG4dsYpWbcBiwYDciK1ECfmamdeDbDU3e72ibULuZoo2NLvWCoJX31QcgKXZuEdtnrOvPJVOU0Er6R51RftYT6IqZ55VcPflaPlgq2ENa8alEIQqYUaN+5ohGzjtH8d7A6edbWYBEX1k52hgq34CHWYU7Bgi7sN9JZ59SbnaCMlRlkpVH8kFYIf2IIQSvVLiV40r4yxUPBarnzwqsmCLW+SsgHqsEWoDC/Y0ozmVQcrUN0RXqylVOfBaJBVVnzwCZySEw6xw1ZvmldeFJxgIxwp4dlfPSTaeiJlgtd27vFqNctyQbLoJPN6sL4dlc0dsJgEjB+Qp/jna7G4KVk9klGKVAj94lS4LWZ38Pmfnt0GtFCsBdB1JV5aZbTC7A6HJcbMqxY1rxpPtPWG+iOpEDwzkSbTga2XA4L7u47pnyOL9rc3tHhB9iSpR6ImBYTaqFFpHQ1RFqSh8ztetFCsBVDmNV5CEzgFNa/W2DSvyTbCkRKjaKnVH0mFaPdwPYw8B7ZegteQRZay/q4cTWZeg79Zoks6RrkYEPpFTieVeDCCTpO3hlWzWAvQ5kRfy6jRpIBnXj0+1uO9P9lGOFKil1ilN1ImeBUzrzK1LNTLLJnrXSepUKwFaFTzmuSsmNwGCLUJ+bxqI/Oq9etgTzS2UeZVj6hilRXm1tNd9pUxlrSjjZSQVZbOkNtKJnzp2K/RIKaquQP765wQBGBCufJ6VwCwBE9eTWVek5QNkNsAoTZtGtG88sULfcsGgpnXDG1kXvUeZCiFGl7HVrMg3vu783oNv9dpKXjV+6RI/ZFUCD4rkksTZg1bctbqxYZnXUeWZiPboc6FWYtL7NLJBrT5uxPGp02FYpVohCbx+j0XGjWnedXOtVLLiHZxCk/guFSnu8xr+H1BS5pXkg3oBD4rkit4Dff612rwuvFgIwDgBJWyroA2i5skkw3QTYZQCadGOmyZRdcV/Z4LoYItbWRePT4/GNPveCoFn8AprfvmMQX//M6E28aRVZZ0pFDwyjOvMskGTGGZV43OaI42dQAAygszVNsHfnPTkj40WT2SVYNSCCK1aFNB7xeNkNuANq+BsRAq2NJG5pUxkiTFQqhJgbITODF47SbzGh4kWkzqB682gyRbUih4lTfzKgiC5qv4jja1AwD65DhU2wd+QfZp6MRJ1oOPlvcItVHrxt0ZvgKlZ82rVmQD4Vk6urb0jlqyAV4k6ewu8xq2sqdm0wuOhWQD+kLu4BUAbKJthjYPCp55Lc1JU20frBqszBfbwya4pENuA4TaODWiedVLs5aeaNBIk4KI1Twdj6dSqLX6wGUK3WVeQ8kR9QNXQB/F5bGQQsGrvLIBIKSZ1OKMxuvzo7rFBUDdzKtFk5rXwL4krHk1gDE7oV/cXr8Y3JBsIDl8fobmDm3IBsKXmLWaENEK4edApsITOG6/2Z3bQMjjVRvhlk0HxeWxoI3RVIBQZkLGzGsw+HFpMHitbXXD52ewmAQUZtpV2w8tLrG7JZINaCkgJ1KH8CpntTtsmXV+LjS1e8Bro9RuUiAIgijDoOC1ZyLOAbU0r67uMq/a8XgFIlcYKXjVAaJsQMbMBJ9ZafGA4HrXkmyHeINRAy0WN3mTXNYhtwFCTXhfdZvFpPoN0qpz2QB3GsiyW1QfSyCs6YOXri09oeY5wHXmvWVetWCTBeijuDwWtDGaCsD1KOkyddgCwqr4NHhAhPSu6kkGgPAOPNq5GCfvNqB/b0tCv/CMj9oNCgDArPOCLV6spXaDAo7eJwNKIRZrqbDykC76vPYcvGrBJgsIFpcbwJs8ZYLXdrHDlvyyAS1eaLQSvGrZ55XcBgg9IraGVVkyAOhf89rQxou11NW7ciwG6YYkN2o5DQCh8667JgVur7ZkAwA074wUC9oZTZnhywppchZsWbRbsFUZlA301Ujw6vExzRhvJ1sNylvektsAoQZi62uVnQaAsJUVnZ4LXDagdrEWx2KADJkSqNWgAIihSUGSyRE54FpqLcYqsaKd0ZSZdgU60PCDU4sXmiMasMkCQhdjBkAr9zeeMbUkW7BFmVdCBVpd2vB4BcI1mtq7BsZCo0ZssjhGWN5VAjV9jjN6ybyGNK/akA0AYZlXHR9XKRO8hjKv8vu8atFtoDIYvKppkwVEZje1kp2Rqj2slqQQROogtobVkuZVp+dCg0YaFHAs4vKuPsdTKdSVDXCfV/1kXq0GaFSgndGUmXYFlta07POqmeDVFDrktJKpDPnwJTYzJs0roSZtCtgAxorel7lDrWG1kXklq6zYaFNROsMTYk6dWGUB4ZMi/R5X2hlNGWGMhdwGZJUNaDOI8fkZqpp58KqubCD8/NVO5jW5iwtlXgk1UTPr1Bm9B69aaQ3LIdlAbKh5DnDZQK+ZV400KQAAmwESLtoZTRlxef2i8bScPq+hgq3oB7Fa1La64PUzmE0CirLUa1AAcONtbQV74sXFRG4DhP5QM+vUGb13mwsVbGkl80rBayy0qaj77s1tIHR/0aLmVVuxSjykRPAa3vkiTVafV21aZXGbrOIsu6oNCjghuyyVdyRI0rIBnnEnn1dCBfhypdKdhaIhLnNrZGIaL6GCLW1kXsXlXZ1OBpRCdBtQUfPanc+rW4uyAdK86gN+UDmsJlmDN74soLUMHLfJUlvvytFS5pUxlrxsIPh9fH5oxv6LSB24JErpnu7R0LvbgNYKtqw6H0+lULVJgb0XzatXe7IBqwEmRdoZTRlp9/CCBnkv7jzzqjW3gSON2tC7csTMqwZOnPAAOlnNa+f3IwglEAu2NKR51Wu3uUbNFWyRbCAW2lR03BCtsjw++KNc/5P1EZcDalKgE5TqQKPVJgWVzdrorsWxasjIPPymkOjFJVwrq7WsO2F8nAp4WMeKWcf673a3T0w85GVoI/NKHbZiI5R5Va9JAWNAR5R6l2StGOWAZAM6gdtkyR68arRJwVGN2GRxtFSd7/FS5pXQN62achsI/FePmVcuGbCaBU1MBADAyjsh6XAyoCRi0aIK54DDYoYQvAVE67KlRassmwEmRdoZTRlpcysjG9BqKj6kedWIbCCYqdSCbCC8uM6SoB7aLAD8lXrMOBH6RmwPq4mCLa7R1N95wIPXnDQbBEEbS7wkG4iNNhWLFk0mQSwEj+Y4QE0K5EE7oykjTgU8XgHtyga45lUzsgGzdmQDPENkNQsJ37AEQdDUdyJSi5AsSguZV/06b2itNSyg/wI4peATuEyVVh/ELltRM6/a07xaqD2sPnAqlHm1WbQnG/BHNCjQRvBq0ZBVFs8QJTsr1ru/JaFf+A1TrRt3OHo+D7TmNACEN77RwMVSw7QqVNfSHXzVI3rmVXuyAcq86gSnQppXfnC6NHShqW0LNCgwCQGfVy2gJVN/t0RLOlYN6XiJ1EKJ7oGxoudlbq21hgXCCms0cK3UMnz1Qe3MazSvV6nuMVJipcyrPnAq1H1DbFKgodlMpdigwAGLRk4eLRVshWQD0mRe9XjTJrTP4h+P4i8fb+9ixcMYC9O8aiHzGvivHs+DxjYNZl7putIrfr/650BGD122Qj6v2pENGCHzqv7VTgGcQZ/XNKvcsgHtHRBa07sCoRNHC8FrSDaQ3IXFQppXQkYWfLgFta0uTD+2BOMH5ImPu7x++ILHnBaCV7OGzu14ETOvGRrKvJJsoFf4/R1Qr0Uy91juSfOqJassI8hRtDOaMqJU5tWqQassrXXXArRVsCWZbEBDDgqEsWjp8KC21QUAONjQHvGcUq2vY0U8tzU0gY+VRg1qXmlFp3f4/d0kBLpoqkGPmVe/BjWvGnVGigftjKaM8CWFNIV8XrV0QBxt1lZ3LQCwBAM9nwaCV6kqQUMzWfW/E2EsKuqd4v8f7hS8itc2q1nW1texYha0MzGNl1DBlnYyr6LPqw6tx5SiNaxBgVoWZ6LbQBTNK5/IWbTkNmAA2UBCweuTTz6J8vJyOBwOTJo0CT/88EO32z777LM47bTTkJeXh7y8PEybNq3H7eVA1MMo5DagJRH00UZtOQ0AgCU4h/B0Pc8VxytRJahFQ13DCGNRURcWvDY6I55rVWhVKVbEJgUaugbGSqhgS0OZVwMs78oNX6pXUzbDiyWdLp34vKZiwdYbb7yBefPmYcGCBVi3bh3Gjh2L6dOno7q6Our2K1aswKxZs7B8+XKsWrUKZWVlOOecc3D48OGkdz5WeCpf7syrVYOZV16wpS3Na3CJXQOBnlQXFn4x0EI2mTAWPWdetdNdC9C3VRbJBvQJl9Tkq9jSlzdHiJp5DZ4LmtK8pmLm9dFHH8WNN96IOXPmYNSoUVi0aBHS09Px/PPPR93+1Vdfxa233opx48ZhxIgR+M9//gO/34/PP/886Z2PlTbFMq/am80cbQ7c7Prmaid41ZLbgFsi2YBFQ/ZfhLE4EB68NnbWvCrjYR0rejY/b9BgkwJyG+gd7mOuZoImQ7TK6pp5JasseYhrNN1uN9auXYtp06aF3sBkwrRp07Bq1aqY3sPpdMLj8SA/P7/bbVwuF5qbmyP+JUO7Qj6vWtO8+v0MVU2BWWmphjSvWvJ5lSrzSm4DhFxEyAYa2sFY6BhrE/V+WpENaGdiGg8+P0NzhwZlA+Tz2itVzYF7XEm2ej7momwgauZVex22jDApiuuOXVtbC5/Ph5KSkojHS0pKUFlZGdN7/O53v0Pfvn0jAuDOLFy4EDk5OeK/srKyeHazC0qZeGutw1Zdmxtunx+ChhoUANoy9OfLm/y3SxTR/ksjvz1hHMJlA21uH5raPRF/A9qRDfD7s8/PunjSapmmdg/4nEBTTQp07N6gFJXNIS9ztciIwSrLmuQ9RkrIbSBO/vKXv+D111/He++9B4ej+wNt/vz5aGpqEv8dPHgwqc9tV6g9rNY0r1zvWpRp19SShRZlA5YkK7XJbYCQA4/PL0oF+DF2KEz3GtK8aiPzGp5d8vi1cR2MBe40kGW3aOpa6QhK0Vpcnl62TF2qg8FrSbZ6wWt6D1ZZXg1qXi2ii4V+ztHOxDWahYWFMJvNqKqqini8qqoKpaWlPb72b3/7G/7yl7/g008/xZgxY3rc1m63Izs7O+JfMvCltXS5O2xZtBW8HuUer7nakQwAYUsWGgheJZMNBIvQtPCdCONwtLEDPj+DzWLCyD6B62C47jXU010jmdewSaCeirZ4sZaWGhQAQFFG4HfliQiiK1UtXPOq3upiRg9WWVIlSKQkpHnVzznambju2DabDRMmTIgotuLFV5MnT+72dY888ggefPBBLF26FBMnTkx8bxOk3aOs5lUr2Te+nNJHxRlpNHigqIWbW6h1nzRuA1rIJhPG4UB9GwBgQH46+ucFJqHhjgPO4DKlWj3dO2PRafDa0MaLtbSjdwWAwvTA71rb6obLqwFvQQ3CNa9qygZ4YqxHqyxNyQZ4ok2/x1Tcozlv3jw8++yzePHFF7Ft2zb84he/QFtbG+bMmQMAmD17NubPny9u//DDD+Pee+/F888/j/LyclRWVqKyshKtra3SfYsecHv9YjApd3bCFlbBF15UoRZabA0LAPbgUli7Boy3ebBpTXJWrGeLIEK7HAgWaw3IT0e/4ApKeOZVKT1/rITXpOhRNqClYi0AyHGYYQ8GPbz4lgjh8flFqyx1ZQPcbSBakwLtyQbE5hc6rtGIO5q7/PLLUVNTg/vuuw+VlZUYN24cli5dKhZxVVRUwGQK/Uj//ve/4Xa7cdlll0W8z4IFC3D//fcnt/cx0B52MClVsAUEDgq7Rd0bCm8NqyWbLAAoCBZE1Du7zlKVRiobE3IbIOTgYH2U4DUs8yq6DWgk8yoIAqxmAR4f00zhaiw0atAmCwiMZ2m2AwfqnTjS1I4BBelq75KmqG11gbFA8qBARZ9X7vbRFq09rIatsjwaSCAlSkJXvLlz52Lu3LlRn1uxYkXE3/v370/kIySDH0w2s0n2gyd8ZuXxMah9PzkqNijQlua1MKgrq9VA8MpP3qRlA5R5JWSAZ14HFqSjX14gcInMvHIPa21kXoFAIOHxMV2dCw0abFDA6ZNjx4F6p1jDQIQISQbsMKmoKU0P3uydUdwGpPISlxKxSYGOJpid0c5UQCbE3t8KXNzDg2MtFG3x4FVLrWEBoCiTZ17V19t4g0ubyS7pkNsAIQcHomVeG8M1r7wYVRuZVwCwiNp/9a+BsRJqDautzCsQun5zGRgRgjcoKFa5roNPHt0+f5fjXouZVwtZZWkf0UpGgeDVZBJCptIqHxSMsVBrWI0VbPHMq9PjF6ul1UKqStCQbEC/FwNCWzDGRNlAIPMaCF7r29zidU3s664RtwFAnxM5LbaG5fCaBcq8dqVKtMlS18c8vJ6ms+5VKi9xKaHMqw5QMvMKaKdRQX1YgwI1hezRSLeZkWELjFN1s7pFCCQbILRKfZtbnNz1z0tHTpoVWcEM65Fg9rVNYz6vAGA1aeMaGA+hgi3tZV558uEoZV67ILaGVfkeZ7OYxElbuNer38/EomBNWmV5tVFcnggpELwqW9DAlwZcKmdeuWSgMNOuqRkfh2dfuUefWki1pCPaf1HBFiERXDJQmu2AwxoITnn2lTcqcGqswxagrSYksRIq2NJe5rWPmHml4LUzouZVAwkann0N77IVvhKnKaussEBaTysk4WhnNGVCzLxalc28qi0b4IUeWtO7crh/YZXKmdeQ5jW5WTGPfcltgJAK0WkgrMK8s+411KRAQ5lXXWpetSsb6EOygW6p0kB3LU5GlC5b4YGhpqyywjvh6eg8DUc703WZ4NV/SmUm+AGqlpak3e3Dv1fsxtNf7QUADC3KVGU/ekPMvKocvLqDsgFLsplXcamUgldCGkSngfyw4LVTowJesKWVJgVAaHlULzdFxpguCrYanB60u32KSeD0gFY0r0BImhiReQ1LYmmqYCss8+r2+pGh/vDFjXaueDLBZ0FG17wyxvDRj0excMk2HAkuL00eXIA7zz1G0f2IlcJg28OqFpU1r5LJBkjzSkhLeIMCTnjm1e9ncIrdA7VzKbdoqINeLLR7fOJKWZ6KXqHdke2wIN1mhtPtw9GmdgzWaEJCDXjyQ23NKxBKkEVmXgPHlUmIbJ2sNmaTALNJgM/PdFu0pZ0rnkwo7YMoZl4VlA24vX7c8OJqfL2rFkDgBnfP+SNx7nGlEATtnDDhhDKv2tC8JisboCYFhNRElQ2EZV7bPT7wWgstFWzZRM2rPm6KPOtqNQua8svlCIKAPjkO7Klpw9GmDgpeg3R4fGhqD/x22tC88kYFocyrVE1w5MBmFtDuZ6pLHBPF8MEr77ClVGZCDc3rlztr8PWuWtgtJtw6dShunjJYLPDQKjx4rVY98yqVbIAyr4S0HKhvAwAMLMgQHwvPvHKnAUFQTtMfCxZxAq+Pc6GhLdQaVquT/T45aWLwSgTgiQ+H1YRsh/qhDLeraw/LvIo2WVoMXi0mtHv8lHnVKkr3/haDVwUPiF3VLQCAc48rxe3Thin2uclQlKGNgi3JZQOUeSUkoMPjE8+NAVE0r1XNHWgOZp0ybBZNBV1cT6eXzGtdMHjN12CxFkcs2mqkoi1OuGRAC8c/bxQSoXnlPuIa6q7FsaqwSiwl2psOSEwo86pM8GpVoXPF7qpWANotzopGQTDzWtPigl/FgM8jUeu+UJEKBa9E8nDJQJbdgrywIqLCjID1nZ8Be2oCmVktOQ0AYVZZOjkXKoJj3T9PW220w+kTzLgf0WHmdXd1C+5+50ccanBK+r5a6a7FieY2oG3ZgP5cQcLR3ohKTJvisoFgmzglg9eaQPA6rEQ/wWt+ugUCAplKnvlQg5DmNblTQQxedZJtIrSNWKxVkB6RVTKZBFE6sLMysOKiJacBICyjo5ObYkVdYBIQri3WGn11bJf1n6/34fXVB/HSqgOSvq+WbLKAMJ/XMM1rR7CgUpPBq0ZsPRNFeyMqMe1KywYUns0wxrC7Oph5LdZP8GoxCchLC/wmahZtSaZ51Vm2idA2PBsYLhngiMFr8LxP11CxFqA//Xc0SzKtwTOveuyytSeYXNl6pFnS9xWD1yxt+DzxoklnWMvzV7+rAKDNe7Maq8RSYvjgletP0pXyebUo2zP4SFMHnG4fLCYhorBDDxQEGxVUqrgUJpVsQDRmJ80rIQEVUZwGODx43VUVyLxqySYLCLPK0skqBB/rgYXavX7yzOsRHWZe9wblLdsrpQ5eg5pXjTTiSevkNvDjoUa8u/4wAOA35wxXbb+6Q436HCkxfPAq+iAq1WFLYRE0z7qWF2ZocmmiJ0Jer+oHr1LJBvSSbSK0zYHgUvbA/K4BVd9g8MozWtqTDegno8MYCwWvGs688gCtpcMrdlXTA01OjygLq211o1rCa732NK8hn1fGGP60eBsA4JLx/TCmf66KexYdNWw9pURf0U4C8BS+UktrSs9mePZFT8VaHJ55rVIx88qDzWT7TpPbACElPcoGgoVFXPKivYItnnnV/rlQ0+qC0+2DSQD652k3eM1yWJFl5ytV+sm+7gtOwjjbj7ZI9t5akw2kh3XY+mRLFX7YVw+7xYQ7p2uzUZDetOmdMX7wqnDBltL2E3t0WKzFEWUDKmpe+YlrSbL7CbkNEFLh9zMcDLZ/HdiDbICToTHZQEjzqv2bYkVQ79onJ01MPGiVPrlB6YCOdK/7alsj/pZKOsAYE2UDWinY4h22mto9+MvHgazrTacPFldKtIZa3UClQttnqwQ41fJ5VSh43VWlv2ItTmE6L9hSz+tVKp9X6rBFSEVlcwfcXj8sJkH09wyns6VThuZkA/ymqP1zYT8v1tKw0wCnT06waEtPmdeg3pUbZmyTKPPa4vKiPSgJ1ErwymOMDQcbsb/OicJMO26eMkTlveoekg1oHKfCPq+8001Lh/y6JMYYdunQaYAjygY04DaQbNZFbxXWhHbhkoF+eWlRXTBKcxwIXyjQUmtYIGwip4OMDrfJ0kPw2leHmde9tYHxPaE8HwCw7ag0mVcuNct2WMRCKbXpPIn87TnDNadHD0dP2vRoGDp49fkZXMEfRinZwPCSLADA5iNNsn9WbasbTe0eCAIwRI+a1wz1ZQMeiWQDVjP5vBIh2lxe/Hnx1oRu1nwpO5reFQhkNsOzTZpzGzDpR/99gBdr6cCphWde1XRniZd9weD1/NF9AARkblIES1qTDACRCbIRpVn42cQyFfemd0L1Odo/T6Nh6OA1vNOFUpnXsWW5AIAtR5pln9Fwp4GyvHQ4NNTbPFZ45rXR6RHNnJVGMtmAKVikotMLASEtr3x3AM9+vQ/3fbA57tceqA+a5vdQ/R6ue9Va5tWqo849evB45ZTqzC6LMSYGr6cOK0SWwwKPj4l1GsnAV+u0YpMFRLp+/OH8kTAnmRCRG2pSoGG4ZMAkAHaFxPjlBenISbPC7fVjR6V0lZXR2F0ddBrQoWQAALJsJvF3qVZJ9yqZbCCYefUxwM8ogE11fthXDwBYe6ABDXF2kKuo775Yi9MvTPequYItPckGevDT1Rp9Rc2rPjKvVc0BJwezScCA/HSMLM0GIE3RFrdXLM7STvA6ID8ds04cgF+dORSnDStSe3d6RenicqlJieA1w2aJaLEoJ4IgiNnXDQcbZP0snnkdptPgVRAElGQHbE7UkA74/Qy+4NJmsplXa9gsWw/LpYR8+P0Maw4Ezn0/A5bvqI7r9XuDmakBUTxeOVrOvOplFaK5w4P64MRCF7KBoOb1aGM7mA4myHtr+XGcDqvZhBF9ApI6KYq2uOaV3z+0gCAIWHjpaMw7R5vWWJ1Ruhuo1Bg6eG0LerwqLege1z8HALDhoLy6V16sNUSnwSsAFAc9+qQs2vL7GR5euh2vft9zL+1wfaolyQ5b4a/X+k2bkJdd1a1oaveIf3++LfbgtdXlFXWyY8tyut0uPPOqOc2rWR+2cVxbXJBh03RhDYdnXtvcPjQrUBCcLFwyMCjYuWxEMPMqRdGWFjWveoM6bGkYbqWhtJUMz7xuPNQo6+foPfMKhC4+Ugav6w824N8r9uC+D7agrrV7OUL4zVWqDlsA2WWlOj/sD0gGCjMDE7OvdtbEvDS3oaIRfhbIrPICnWhEZl61FXjpRfN6QEc2WUAgCZObbgWgj6ItbpPFg9eRUmZeW3jmlYLXRNGS28CWw/En+gwdvHLZQJrCxUw8eN1T04rmDk/PGydIU7sH1S2BwEzPmdfSbOkzr98H9YY+P8PSLZXdbucJO2mTlQ2YTYJoX0SZ19RmTTB4vXLSABRm2tDi8mJ18LHe4NudUJ7X43bhXq9akw2Eus2pf1PsCV4YpwfJAIdPaPRQtNU583pMaRYEAahtdaGmJbkaBy3KBvSGTSMdto40tuOq/3wf9+uMHbwGZQNKX9wLM+3on5cGxoBNh+SRDvCsa2m2A9kOqyyfoQRcNlApYcHW93tDgcL/bTzS7XY8M2QSIEllqNhlS+XM66EGJz7bWqXqPqQyq4OTp0mD8nHGMcUAgM+2xfZ7rDkQeO3EoC9md4R37dFawRbXvOpFNtCTq4PW4E0rjurA65V7vA4OBq/pNgvKgxOFZIqZ/X4mJm4o85o4WnEbeP6bfQnViRg7eOWZVxUu7qGirUZZ3n+PjpsThCPKBiRaBvP6/Fh7IFQo9/2+elR3k9XlQWY0I/hECGWc1L1p3/bqOvz8pTX4YjsFsMmyp6YVq/bUwR/jb3q4sR1HmjpgNgkYPyAXZ40sARDQvfZWZOPx+bG+ohFAyNS9O9JtFlw8ri9OLM/XXPtJ8Twg2YDkiMGrxjOvHp9fdHIYHOZBPqKUSwcS173WO93w+hkEASjKosxromjBbaDJ6cH/fqhI6LUGD16DmVcVOnCM658LANgoU/C6S+c2WRyxYKtFmuB129EWtLq8yHJYMK4sF4wBizcdjbotlw0kq3flWDVQZX2w3omNwWz/4h+7l0wQvdPQ5saMJ7/FrGe/w9n/+BJvrj4Il7dnP2KedT2ubzbSbRacNqwQNrMJFfXOXv0ttx1thtPtQ7bDEpOO/fErxuPNWyZrzk/SopP2sBX1+gte+URF6122DtY74fMzpFnNEUv7I/sEi7aSsMviErOCDHvScq9Uhmde1dSmv/L9AbS5fRheEn8cY+hfPpR5VSF4HZALQL6ird2GybwGZQNNHZLYv3y/rw4AcGJ5Pi4a2xdA99KBUIMCaW7+luBhpqZs4JMwje8X26s0n/3SMou+2iO2ed5T04a73vkRpz+yHE9/uQct3WjZQ5rVQOY0w27BSUMKAACf9eI6sHp/YMVgYnk+TBoLSOOB28YlclM8WO/EwiXbsD+45CwXLq9P1I32ZEmmNfSSeQ3Xu4bbVIYyr4nLBnjwSnrX5LCpnHnt8Pjw32/3AQDmnFIe9+sNHby2hfm8Ks2xfbNhNgmoanbJcqHZZQCnAQAoCWZeXV5/hL1QonBz+BMH5eP8MX0gCMC6ikYcanB22ZZnhqSavWvB3zI8eG1weiIkFETsVLd04MWV+wEAj18xDvPPG4GSbDuqml1Y+PF2zHr2O9EjOBwevIZrVqeNDOheP+9F97pGfG3PxVpax5KgfGbrkWZc+u+VePqrvfjzkm1y7JrIwfp2MBZYlSvMtMn6WVKilxaxYvBaFDkx4JnX3dUtCWf8yCZLGmzcbUClBMe76w6jttWNfrlpOPe4PnG/3tDBa3tQNqBUa9hw0m0WDC8JzDKllg443V4cbgwExHrPvNqtIfuXqiSLtvx+JgYPJw7KR0m2A5MGBYKIxT92lQ5I1RqWI3YWUinzWtPiEs3xJw8OZPuWUeEWKps68J+v96LdHXsL4qeW70GHx4/xA3Jx0di+uHnKEHx11xl45LIxyHJYsPlwc8REAQAanW7srApMKsPdAs4cEQhee+q2xRgTM6+96V21TiJWWd/trcPlT68Sq9C/3FGDJqc8Ti0AUMFb8BZkKNbARgr65oZaxGq5UUHnYi1O/7w0ZNoDbWL31iSWXQ9lXil4TQY1C7Z8foZnvtoDALjh1EEJ3YMNHbzyzKtaJt7jyuRpVrC3pg2MAfkZNhRk6n/ppDR4EUq2y9bumlY0OD1Is5pxXL/A2F8wJiAd+KjH4FUi2UBwudTpVmcm+9m2KjAGjOmfg9mTBwIAlm2r0vRNTgnufvdH/GnxNjy8dHtM2x9ubMdr3weKCH57zjFicGO3mDFzYhnmnFwOAHhqxe6IsV0TDD4HF2VEnJf989IxojQLfgas2BldOnCgzonaVhdsZhNG9+u+OYEeiLdJwdLNRzH7+R/Q4vLixEH5GFqcCbfPj6VbomvVpUAs1tKR0wAQCtg6PH40yhjcJ0tnj1eOIAhJF22RbEAauGzApULw+umWSuyvcyInzYrLTyhL6D0MHbw2OgNZDjUyrwAwjjcrkDjzKupdi/SddeVI5TjA/V0nDMwTZ3LnHVcKs0nApsNNXXR0bokzr8cUB5b0PtnZKMn7xQvPBE4/thSnDy+CzWLCgTqnKDFJRSrqnPhyZw0A4PXVFajtoWkF54kvdsHt8+Okwfk4OahXDee6UwYhzWrG5sPN+HpXrfj46qDN1YlRMqdnjeSWWdGDV75iMKZ/DhwK+1JLTahwMXRTZIzhzTUH8cxXe/Dm6oNYurkS3+2tw/Pf7MOtr66D2+vHOaNK8NL1J+KS8f0AAB9s6N7mLln06DQAAA6rGQUZAZmDlr1eeWvYzsErkHzRFskGpKE0qJ/edrS52xUhOWCMYdGXgazr7MkDE26yYtjgtbq5Q7xR8OIppeF2WT8eaoyqj0sU0WkggQo9LVIiUaOC7/cGi7UGhYKHgkw7ThlaCAD46MfImyHXpkpllXXl8QFbpBV7mnCkWbmLAQC0dHiwcnfg+08/tgQZdgtOGULSgf+trgBPjnZ4/Hjum309br+/tg1vrjkEIDLrGk5+hg1XnBjIFjy1Yrf4OHcaiObRyi2zvtoRvdvWmrBiLb0jymfCgtf31h/GXW//iIeWbMdd7/yIW15Ziyue+Q5//Ggr/AyYdWIZnrrqeDisZrHQctXeum5t7pKFOw0M0FnwCgB9crXt9drm8ooB5uDCrveoEUl22qLMqzSM6pOF4/plw+X14401BxX73O/21mPjoSbYLSZcG1zFSgTDBq/Pfr0Xbq8fEwfmYeJAdQoghhVnId1mRpvb16tNTjwYLfMqhWyAMRZRrBXOBWMCYvD/2xi5DMlvrjaJZANDC9MweWA2/Ax4e3OjJO8ZK8t31MDt82NwUQaGFgduDmePKgUAfJqiwavb68ebqwMX5Z8e3x8A8PKqAz0WBj7++S74/AxTjynqMZC88bTBsJoFfLe3HusqGtDh8WFTsMVhtMzruP65KMjovtsWz9r21llLD3S2yurw+PD3T3cCCDRuOHNEMY4fkIvBRRnol5uG354zHA9dMlp8XVl+Oo4fELC5+78och8pOFAX7K6lI6cBDi/aOipTYJ8svFirIMOGnPSuDXRGlAYyr9sTlg1Q5lUKBEHA7MnlAALXRSkTbD3xdFDr+rOJ/cUW2omgq+B1zb7YWiw2tLnxalCzdtuZQ1UT5JtNgqi9lLJZgeg0YJDMazGXDSRxMT5Q50R1S0AzyOUanOnHlsJqFrCjqgU7q1rg9zP8eKgRSzcHltml9Aq8emIgw/bJruakWyDGQ7hkgMOr3DcebEx4bA/WO3HFM6vw8qr9Se+j0nyypRJ1bW4UZ9mx8NLROKYkC60uL14Kugh0ZldVC97fcBgA8Juzj+nxvfvmpmHGuMDy9lPL92DDwUZ4fAzFWXaU5XdtGmAyCTgjWLj18qoDEVrZulaXWLwyQaWJtpRw7TdvD/vKdwdwuLEdpdkOvHj9iXj+uhPw7q2n4IvfTMW3d5+JuWcO63KNvjg4th/20CEvUXx+hoP1gSV3vckGAKBvcLl3V1XidlNy0rktbGe45rW6xYW6GGQ84Xh8ftS1UfAqFReN7Yu8dCsON7bH3AUwGb7eVYMVO2pgEoCfnzo4qffSVfD66zc34GB9V8ujzvx35X443T4c2zcbU4cXKbBn3TNeYt2r2+sX9Vp6dxrglIrBa+LBHs+6ji3rqhnMSbNiyvBA4PCr/63HCX/+DBc98S3eWhtYHu4jYYeicX0zMKokDR4fw4urEuscEi8dHh9WbA9IZMKD1+JshxjIJ3Jhcnl9uPXVdfhubz3u/7+tsjXckItXvz8AALjihDLYLCbcesYQAMDz3+5DW7B1NMft9ePBxdvAGHDusaUY3b/3oqlbpg6BIATGlk+WTxiU3+1k+drJ5bCYBCzdUon//RBapuMOEcNLMpGbrh/bpu7ghSBeH0NzhwdPLA9IK+adPTxmPe9PRveBSQhcN6X2fK1s7oDb54fVLGiuO1ksHNs3cGy+tOoA5r62LiYdt5L0Frxm2C3ipGF7HG1iNx5sxM8WrQJjgUr5fAOcK2rjsJpxxYkDAEC0BpSLJqcHd771IwDgmpMGoryb4yNWdBW8Njg9+PmLa9Da6cYTTkuHBy8EjW9vO0O9rCtHyjaxbq8f89/dBJ+fIdthEYM+vcOF48nIBr7vRjLAuXBsQDqwvbIFdW1uZNotmH5sCf58yXH4y6WjE/7czgiCgKvGByZMr/5wEM3dmNlLyco9tWhz+1Ca7cCYTpXqZ48KZIIT0b0+tHibuBTu8zP85q2N6PDEbjelJrurW/Hd3nqYBODy4MX5gjF9UV6QjoZOLQnbXF7c8OJqfLWzBlazgHnnDI/pM4YUZeLc4GSBN8I4oYfM6ej+ObhzeiCj+8D/bcH2YMHKmijesHrGEuYf+fSXe9Do9GBYcSYuPb5fzO9RlBXSqnfXZKQz/7fxCP72yY5eLdG4ZKB/XrrmupPFwqXH98MtU4bAbBLw0Y9HMe3RL/He+kOacRXpzuM1HO6o8c/Pd/VqqVbT4sJdb2/ExU9+iw0HG5FhM2PBhaN03chDS1w1aQBMArByT52s2fz7/28LKps7MKgwA3efNzLp99NV8FqYacOOqhbc8fqGbnuNv/JdBZo7vBhSlCHeWNSEB6/bK1uSuvE3Ot245rnv8c66QzCbBNx34bGqB+ZSURwU3te2uhI2rv5hPy/W6lodDgQyOTdPGYxbpgzB6zedhHX3no2nr5mIqyYlXu3YHSeXZ2FArg2tLq9ouSQnn2wOBKbnHFvS5YJ+TjB4Xbm7rsdJX2eWbDqKF1cFMpePzhyLoiw7dle34tFlOyXaa3nh437miGL0C2bXzCYBv5gayL4+89VedHh8qGt14cpnv8PXu2qRbjPjP9eeIPozx8KtU4dG/H1CN5Mnzo2nDcbUY4rg8vpx26vr4HR7w/xd9S8ZAELBa7vbJxbI3XXuiLgLI7l04P0Nh3sNzJ77Zh9++b/1eGL5btzw4uoeA9iK4MrVAJ3ZZHEsZhPuPm8E3r/1FIzsk41Gpwe/fmMj5rywuteGODUtLqzYUY39tW3d3kOTZW+wvqOzx2s4d0wbhgybGd/vq8dfPo5uYccYw0ur9uPMv60QiygvHd8PX/x2Kq6aNFD6HU9R+ueli0mOF2WSh3286SjeW38YJgH4+8yxknQ9TSh4ffLJJ1FeXg6Hw4FJkybhhx9+6HH7t956CyNGjIDD4cDo0aOxZMmShHb28SvGwWYx4bNtVfjbpzu6PN/h8eG5b/YCCNxUtDAz65vjQGGmHT4/w+bD3fu9bjzYiEue+hYT//QZ5r+7CT/sqxcvLvtr23DJUyvx/b56ZNoteO7aibhsQn+lvoLsFGbYYTEJYAwJLYEdaWzHwfp2mITuNYNWswnzzxuJu88bgZMGF4gGzXJgEgTMHB3Yj+e+2SdrttLr82NZUBIwPcpkbWhxJgYVZsDt8+PLHTUxveeBujb87u3A8s4tU4bg0uP7Y+Elgez0s1/vFTOFWqXD48PbawPL8p1vcpeM74++OQ5Ut7jwry924WeLVmHjoSbkpVvx2o0nYUqcMqPR/XNw2rBAhjDLbhGLUbrDZBLw95+NRUm2HXtq2vC7dzaJ14WJAw2SeeVWWX6GDk+gaJbrr+Nh+rElsFlM2FPThq09FPf85+u9ePCjrQACTgcr99Rhzgs/wOmOPlk7UK9Pm6zOjO6fgw/nnoI7px8Dm9mEFTtqcO5jX2PJpq5FbowxvLn6IM742wpc99/VmPq3FRi1YCkueuIb/PatjXhx5f6oXQjjhTEmNigYFMVpgDO0OAt/nzkOQOAa+UFQa87p8Pjwmzc34r4PtqDF5cXofjl45xeT8ejl40jrKgO86v/ddYclXy2sbunA79/bBAD4xdQhOH6ANJP0uO/gb7zxBubNm4cFCxZg3bp1GDt2LKZPn47q6uj+hStXrsSsWbNwww03YP369ZgxYwZmzJiBzZs3x72zY8vy8MhPxwAAnlqxB/d9sBk7wjQzb6w+iNpWN/rnpeGicX3jfn85EAQB44NWXTe/vBZPrdgd0Re91eXF/R9uwYynvsX6ikbUtrrwvx8qMPPpVTjtkeV48KOtuOSpb7Gvtg39ctPw9i8mY+ox8d8ItIzJJKA42Ca2p7aHjDEcqGvD+oqGCA9Jrnc9rl8OMiXOoibKGYOzUJptR02LC++uO9z7CxJkzYEG1Le5kZNmjSqZEAQhTDpQ2eX5znR4AjrXFpcXEwfm4bfBJfRpo0pw2YT+YAz4zVsbuw0Menvv9RUNWLm7VtauLh/9eBTNHV70y03D6Z2CUZvFhJtODxQKPLl8D/aK59XJXQr9YuWOacNhs5hwbtBTuDcKMu14/IrxMAmBpW6vn6E024H+efrTX0ajs3vH3eeNSGiVKMthxVnBIrfuCrf+8/Ve/GlxoJXsL88citdvOgmZdgu+21uP6/67uou2GQhlXgcW6M9poDNWswm3nTEUS24/FaP75aCp3YNbX12H3761UVxpqWruwPUvrMZd7/yIVpcXpdkO2CwmdHj8+PFQE95eewgLPtyCUx9ejvP/+TUe/2wXth5pTkiGUNfmRkuHF4LQ++Tg3ONKcVtQh/67d37E1iOBCUp1SwdmPfsd3l1/GGaTgHsvGIX3bzsFEwwyudMikwcXYHhJJpxuH94KZrmlgDGG37+7CQ1OD0b2ycbtZ8UmyYqFuO/0jz76KG688UbMmTMHALBo0SIsXrwYzz//PO6+++4u2z/++OM499xzceeddwIAHnzwQSxbtgxPPPEEFi1aFPcOzxjfDzurWvDUij14adUBvLTqAMYPyMXlE8vwdND49uYpQyStIE+WeWcPx/bKZhysb8cjS3dg0Yo9uO7kcgwvzcKfF2/D0WDANmNcX1w8rh+WbDqKjzdX4nBju7jsNrZ/Dp69diKKs4w56yzOduBIUwcq6p04pjRL9Oasb3Nj1d46fLenDqv21oljlZtuxdkjS3De6FJ8sztgFB/NokgtrGYB159Sjoc+3oG/fLwNy7ZWom9uGvrmpqFf8L99cx0ozXZELKc2tXuw/Wgzth5txs6qVvj8fljMJlhNAqxmE0wmAQ1tbtS1uVHX6sLBhsAy4Vkji7s95s8eVYJnvtqLz7dX44Vv96E0J/jZOQ7YzCa0dHjR1O5Bc4cH76w9jC1HmpGfYcO/rhwfsW/3XTgKK3fX4kCdEw9/vB0PXHwcgIAetrK5A5VN7Wh3++Hy+tDhCfy3vs2NrUeasflIE/bUtIl2LLnpVpw/ug8uGd8PEwbmdRvcMMbg8zO4fX54vAzpdnOv5zYv1Lpy0oCoweQVJw7AE8t3o7bVjWNKsvDi9SeKuutEmDAwD6t/Pw0Z9tiXwk4aXIDbzxqOf3wWkGFMLO9+DPRG+DFz9qiSpLS8F43ti483V+L/NhzB76aPiFhNCw9cf3XmUPz67OEQBAEv3XAirn3uB/ywrx5z/rsaz885IWJSu1+0ydJ35jWcocVZeOcXJ+Oxz3bi31/uwdtrD+GHffW4ctIA/HvFHjS1e2Azm/Cbc4bj56cFJm8H6tqws6oF2ytbsHJ3HdYcqMeWI83YcqQZ//hsJywmAYIACAiOuRBYSZxYnh+woCzPx5CiyPa6XO/aLzctpuK8eWcfg02Hm/HVzhrc/Moa/OXSMfjtWxtxtKkDOWlWPHXV8aL2mZAPbpt1z/ub8fKq/Zhzcrl4rrV0eFDf5obFbILDYoLdaobDYupRBuT3MxxpaseHG4/gs23VsJlN+MflYyVd8RRYHNMrt9uN9PR0vP3225gxY4b4+LXXXovGxkZ88MEHXV4zYMAAzJs3D3fccYf42IIFC/D+++9j48aNUT/H5XLB5QotHzc3N6OsrAxNTU3Izs4GYwwrdtbg9R8q8Pm2anjDtDtFWXZ8fdcZCXWp8Xg82LdvH8xmMyyW2ON6r9cLn8+HQYMGwWrt6msHBJZ3P9x4BE8u3409nXo6l+Wn4c8zRkdkiTo8Pny2rQofbTyK/Ewb7j1/lCQ6EbmId+w6j9ktL6/F0i29ZwatZgHpNktUr85nrpmAcyTSOSd6LACh71bctwznPP4tqnuwzDIJAbeFkhwHqptdONwYf9ccQQBe/fkknDwk+kXe52eY9NDncUkyXphzQtQM/9e7anDNcwGZ0EmD83GksQNHGtsjzsGeKMy0ARAi9qUsPw0nlhegpcODBqcb9W2Bf21uHzw+P8KvUIIA5KfbUJRlD/zLtMNkEuD2+uHx+dHh8WH5jhpYTAJWzj+z28neuooGrNhejRtOHRzVi1IJfH6Ga577Hiv31OGvl43BzyYm1iZRKpI55oHQcd+3bCBOXLgcHR4fPrnjdAyLQ0PcmQ6PDyf86TO0uLyi9KDV5UWry4vNhwOZul+dNQy/nhZpt7W+ogGznwu0nO2Xm4b+eWlIt5mRbrPgs21VcHn9WPbr5PYt2fHqjVjuK9H4fm8d5r25MeJaMrpfDv4+c2yPeu66Vhc+316NT7dU4etdNTG1Dc1Lt6IgMyD7spgFtHZ4sb/OidOGFeLlGybFtL+NTjcufOIb0b4MAIYUZeA/157QrWOBEvT2+yb6+yTzmVLQ3X63ubw4aeHnaOnw4oTyPDS1e3C0sQMt3dRK2Mwm5GfYgm3qbaJn6+7qVuyubkV7mFzu7vNG4JYpQ7rdp+bmZuTk5IgxXizENTq1tbXw+XwoKSmJeLykpATbt0cXXVdWVkbdvrKy+0Bl4cKFeOCBB7p9XhAEnHFMMc44phjVLR14d91hvLH6IPbVtuHX02K3Y4n2vlarFR6PBz5ffDpFq9XaY+bEYjbh0uP7Y8a4fli6pRJPfLEbO6tacMNpg3DHWcO7BKYOqxkXjOmLC8ZoQ/7QG4mMXfiYnTmyGMu2VXUxSjabBIzpn4PJgwsweUgBJgzMg81swg/767F0cyU+2VKJqmYXMu2Wbp0GlPo+4VitVmQ6rPjkjtOx+UgTDje040hjOw4Hg70jTe042hiw7DnS1IEjYXKJfrlpGNknGyNKs5BmM8PrY/D4/PD4/fD7GXLTbSjMtKEgw46CTBv65aX1mJE3mwQ8fc0EfPTjEVQGP6uyqR3VLS4wBqRZzchOsyDbYUV2mhWzThzQrTTltGFFuPqkAXjluwp8tzekfbWaBZTmOJBhs8BuNcNuMcFuMSHbYcUxpVk4tm82juuXg+IsO/ws4JDw3vrD+GRzJQ7Wt+NgfWxLVYwFlibr2tw92uycN7pPj2Ny/IA8ybRXiWI2CXj+uhOwvqIRkyQ8dhMl2WMeCBz3DqsZ/73uBAiCkFRwCASug+eNLsWbaw5Fba0bLXAFgPED8vDKzyfhmue+x+HG9i6TQofVhLIkM69SjFdv9HZficakwQVYcvtpeODDLfhkSyVunjIEv5ja+2pkQaYdMyeWYebEMnR4fGh0esAQuB4zFphs7a5pxdr9DVi9vx4bDjaiwelBg7NrIiEeCU5uug1PXz0Rl/77W3R4/JgyvAj/unI8sh3qTCo5sfy+ifw+yX6mFETb7wy7BZdPLMN/vtknFpFy0qxmcQWM4/b5Aytu3bgEWc0CygsycNbIEtx4WnKertGIK/N65MgR9OvXDytXrsTkyZPFx++66y58+eWX+P7777u8xmaz4cUXX8SsWbPEx5566ik88MADqKqKbt/TW+Y1GowxNDg9yM9IzvvN6/UmpPURBCGumRJjDC6vX/d9zMOJd+w6j1mHxwd/8PV8qcpiFnq86Pr9DJsONyHLYcFgiTuOJXosALEdD34/Q22bC4cb2lHZ1IH8DBtG9MlGTpoyF22e1Yx3KcflDeiiHFYzyvLSUJafjpJsR0K2Q063F59tq0ZFXRty0wOz+LzgfzPsZtgsJtjNZlgtAiwmE1o6PKhpdaG62YXqFhdqW13id7AFj5U0mxlnjChW/eanR5I55oH4r4OxUN/mxjtrD0EQgEy7Bel2CzLtZvTLTccxpT0Hx3WtLmw42Ain24d2tw/tHh+cbh/GD8jFSYOjO5PEQ7Lj1RvJjidjTDY5itvrx47KFrS6vPD6/fD6GXw+BotZwEmDC+K+t/14qBE7q1pxyfh+mrEw6+33leN4l/uYArrfb6fbizdWH0S6zYw+QXlZn5w00ZHH7w/ELS6vD60uL+pFCZsb9W0ueP0MgwszMawkEwPy02OWb8qeeS0sLITZbO4SdFZVVaG0NPpybWlpaVzbA4DdbofdHl/bMEEQkg5cAciWqu+MIAiGClyB5McukfEwmQTRjkxq5D4WAoVqDtV0zInqwu0WM64+SRqrmnSbRexlHwsFmXYUZNoxQn0XPEOi1PUvHvIzbLjx9MQyNwWZdpw1sqT3DRNEi+MVjpw6apvFFFMzj1gZ0z8XY/rnSvZ+UqDG76vmMZVus2DOKYO6fd5kEpBmMyPNZkZuug3989TTjcd197LZbJgwYQI+//xz8TG/34/PP/88IhMbzuTJkyO2B4Bly5Z1uz1BEARBEARBdEfcIf68efNw7bXXYuLEiTjxxBPx2GOPoa2tTXQfmD17Nvr164eFCxcCAG6//XZMmTIFf//733H++efj9ddfx5o1a/DMM89I+00IgiAIgiAIwxN38Hr55ZejpqYG9913HyorKzFu3DgsXbpULMqqqKiAyRRK6J588sl47bXXcM899+D3v/89hg0bhvfffx/HHXecdN+CIAiCIAiCSAniKthSi0TEvARBEARBEIS2SSTG046TP0EQBEEQBEH0AgWvBEEQBEEQhG6g4JUgCIIgCILQDRS8EgRBEARBELqBgleCIAiCIAhCN2i7PUgQbojQ3Nys8p4QBEEQBEEQUsFju3jMr3QRvLa0tAAAysrKVN4TgiAIgiAIQmpaWlqQkxNby2Fd+Lz6/X4cOXIEWVlZsvZq1jPNzc0oKyvDwYMHyQs3DmjcEoPGLTFo3OKHxiwxaNwSg8YtMZIZN8YYWlpa0Ldv34gmVz2hi8yryWRC//791d4NXZCdnU0nXALQuCUGjVti0LjFD41ZYtC4JQaNW2IkOm6xZlw5VLBFEARBEARB6AYKXgmCIAiCIAjdQMGrQbDb7ViwYAHsdrvau6IraNwSg8YtMWjc4ofGLDFo3BKDxi0xlB43XRRsEQRBEARBEARAmVeCIAiCIAhCR1DwShAEQRAEQegGCl4JgiAIgiAI3UDBK0EQBEEQBKEbKHjVEF999RUuvPBC9O3bF4Ig4P333494vqqqCtdddx369u2L9PR0nHvuudi1a1fENlOnToUgCBH/brnlli6f9cILL2DMmDFwOBwoLi7GbbfdJudXkxUpxg0AVq1ahTPPPBMZGRnIzs7G6aefjvb2dvH5+vp6XHXVVcjOzkZubi5uuOEGtLa2yv31ZEOpceO4XC6MGzcOgiBgw4YNMn0reVFqzHbu3ImLL74YhYWFyM7Oxqmnnorly5fL/fVkI9lx279/f5frGv/31ltvAQA2btyIWbNmoaysDGlpaRg5ciQef/xxJb+m5Cgxbhy6J0Sep5WVlbjmmmtQWlqKjIwMHH/88XjnnXcitqF7QmLjxknmnkDBq4Zoa2vD2LFj8eSTT3Z5jjGGGTNmYO/evfjggw+wfv16DBw4ENOmTUNbW1vEtjfeeCOOHj0q/nvkkUcinn/00Ufxhz/8AXfffTe2bNmCzz77DNOnT5f1u8mJFOO2atUqnHvuuTjnnHPwww8/YPXq1Zg7d25Eq7qrrroKW7ZswbJly/DRRx/hq6++wk033aTId5QDpcaNc9ddd6Fv376yfie5UWrMLrjgAni9XnzxxRdYu3Ytxo4diwsuuACVlZWKfE+pSXbcysrKIq5pR48exQMPPIDMzEycd955AIC1a9eiuLgYr7zyCrZs2YI//OEPmD9/Pp544glFv6uUKDFuAN0Top2ns2fPxo4dO/Dhhx9i06ZNuPTSSzFz5kysX79e3IbuCYmNGyepewIjNAkA9t5774l/79ixgwFgmzdvFh/z+XysqKiIPfvss+JjU6ZMYbfffnu371tfX8/S0tLYZ599Jsduq06i4zZp0iR2zz33dPu+W7duZQDY6tWrxcc+/vhjJggCO3z4sLRfQgXkGjfOkiVL2IgRI9iWLVsYALZ+/Xopd18V5BqzmpoaBoB99dVX4mPNzc0MAFu2bJm0X0IFEh23zowbN45df/31PX7Wrbfeys4444yk91kLyDVudE+IPm4ZGRnspZdeiniv/Px8cRu6JyQ2bpxk7wmUedUJLpcLAOBwOMTHTCYT7HY7vvnmm4htX331VRQWFuK4447D/Pnz4XQ6xeeWLVsGv9+Pw4cPY+TIkejfvz9mzpyJgwcPKvNFFCaWcauursb333+P4uJinHzyySgpKcGUKVMixnXVqlXIzc3FxIkTxcemTZsGk8mE77//XqFvoxxSjRsQWGq68cYb8fLLLyM9PV25L6EwUo1ZQUEBjjnmGLz00ktoa2uD1+vF008/jeLiYkyYMEHZL6UA8VzbOGvXrsWGDRtwww039PjeTU1NyM/Pl25nNYRU40b3hOjjdvLJJ+ONN95AfX09/H4/Xn/9dXR0dGDq1KkA6J4AJDZugDT3BApedcKIESMwYMAAzJ8/Hw0NDXC73Xj44Ydx6NAhHD16VNzuyiuvxCuvvILly5dj/vz5ePnll3H11VeLz+/duxd+vx8PPfQQHnvsMbz99tuor6/H2WefDbfbrcZXk5VYxm3v3r0AgPvvvx833ngjli5diuOPPx5nnXWWqOeprKxEcXFxxHtbLBbk5+frdim3J6QaN8YYrrvuOtxyyy0RF3kjItWYCYKAzz77DOvXr0dWVhYcDgceffRRLF26FHl5eap9P7mI9doWznPPPYeRI0fi5JNP7vZ9V65ciTfeeEPXy7g9IdW40T0h+ri9+eab8Hg8KCgogN1ux80334z33nsPQ4cOBUD3hETHTap7AgWvOsFqteLdd9/Fzp07kZ+fj/T0dCxfvhznnXdehFbupptuwvTp0zF69GhcddVVeOmll/Dee+9hz549AAC/3w+Px4N//vOfmD59Ok466ST873//w65du3RdENIdsYyb3+8HANx8882YM2cOxo8fj3/84x845phj8Pzzz6u5+6oh1bj961//QktLC+bPn6/ad1EKqcaMMYbbbrsNxcXF+Prrr/HDDz9gxowZuPDCC7sNSvRMrNc2Tnt7O1577bUes66bN2/GxRdfjAULFuCcc86Rc/dVQ6pxo3tC9HG799570djYiM8++wxr1qzBvHnzMHPmTGzatEnFvVcPqcZNqnuCJalXE4oyYcIEbNiwAU1NTXC73SgqKsKkSZN6nL1MmjQJALB7924MGTIEffr0AQCMGjVK3KaoqAiFhYWoqKiQ9wuoRG/jFm1MAGDkyJHimJSWlqK6ujriea/Xi/r6epSWlirwLZRHinH74osvsGrVqi79ridOnIirrroKL774ogLfRDmkGrOPPvoIDQ0NyM7OBgA89dRTWLZsGV588UXcfffdCn4jZYjn2vb222/D6XRi9uzZUd9r69atOOuss3DTTTfhnnvukXvXVUWKcaN7Qtdx27NnD5544gls3rwZxx57LABg7Nix+Prrr/Hkk09i0aJFdE9IcNykuidQ5lWH5OTkoKioCLt27cKaNWtw8cUXd7stt5/gF6hTTjkFALBjxw5xm/r6etTW1mLgwIHy7bQG6G7cysvL0bdv34gxAQJ2RXxMJk+ejMbGRqxdu1Z8/osvvoDf7xcnCEYlmXH75z//iY0bN2LDhg3YsGEDlixZAgB444038Oc//1nZL6IgyYwZ16h3zp6ZTCYxc2tUYrm2Pffcc7joootQVFTU5bktW7bgjDPOwLXXXmvo46szyYwb3RO6jlt356DZbBbPQbonJDZukt0T4irvImSlpaWFrV+/nq1fv54BYI8++ihbv349O3DgAGOMsTfffJMtX76c7dmzh73//vts4MCB7NJLLxVfv3v3bvbHP/6RrVmzhu3bt4998MEHbPDgwez000+P+JyLL76YHXvssezbb79lmzZtYhdccAEbNWoUc7vdin5fqUh23Bhj7B//+AfLzs5mb731Ftu1axe75557mMPhYLt37xa3Offcc9n48ePZ999/z7755hs2bNgwNmvWLEW/q5QoNW7h7Nu3T9duA0qMWU1NDSsoKGCXXnop27BhA9uxYwf77W9/y6xWK9uwYYPi31kKpBg3xhjbtWsXEwSBffzxx12e27RpEysqKmJXX301O3r0qPivurpa9u8nF0qMG2N0T+g8bm63mw0dOpSddtpp7Pvvv2e7d+9mf/vb35ggCGzx4sXidnRPSGzcwkn0nkDBq4ZYvnw5A9Dl37XXXssYY+zxxx9n/fv3Z1arlQ0YMIDdc889zOVyia+vqKhgp59+OsvPz2d2u50NHTqU3XnnnaypqSnic5qamtj111/PcnNzWX5+PrvkkktYRUWFkl9VUpIdN87ChQtZ//79WXp6Ops8eTL7+uuvI56vq6tjs2bNYpmZmSw7O5vNmTOHtbS0KPEVZUGpcQtH78GrUmO2evVqds4557D8/HyWlZXFTjrpJLZkyRIlvqIsSDVu8+fPZ2VlZczn83V5bsGCBVE/Y+DAgTJ/O/lQYtwYo3tCtHHbuXMnu/TSS1lxcTFLT09nY8aM6WIBRfeExMYtnETvCQJjjMWepyUIgiAIgiAI9SDNK0EQBEEQBKEbKHglCIIgCIIgdAMFrwRBEARBEIRuoOCVIAiCIAiC0A0UvBIEQRAEQRC6gYJXgiAIgiAIQjdQ8EoQBEEQBEHoBgpeCYIgCIIgCN1AwStBEARBEAShGyh4JQiCIAiCIHQDBa8EQRAEQRCEbqDglSAIgiAIgtAN/w9iqkG5RFbz4wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, figsize=(7, 7))\n", "ax = axes[0]\n", "ax.plot(res_hamilton.filtered_marginal_probabilities[0])\n", "ax.fill_between(usrec.index, 0, 1, where=usrec[\"USREC\"].values, color=\"k\", alpha=0.1)\n", "ax.set_xlim(dta_hamilton.index[4], dta_hamilton.index[-1])\n", "ax.set(title=\"Filtered probability of recession\")\n", "\n", "ax = axes[1]\n", "ax.plot(res_hamilton.smoothed_marginal_probabilities[0])\n", "ax.fill_between(usrec.index, 0, 1, where=usrec[\"USREC\"].values, color=\"k\", alpha=0.1)\n", "ax.set_xlim(dta_hamilton.index[4], dta_hamilton.index[-1])\n", "ax.set(title=\"Smoothed probability of recession\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the estimated transition matrix we can calculate the expected duration of a recession versus an expansion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:25.053338Z", "iopub.status.busy": "2022-11-02T17:07:25.052928Z", "iopub.status.idle": "2022-11-02T17:07:25.057550Z", "shell.execute_reply": "2022-11-02T17:07:25.056980Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4.07604746 10.42589383]\n" ] } ], "source": [ "print(res_hamilton.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, it is expected that a recession will last about one year (4 quarters) and an expansion about two and a half years." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Kim, Nelson, and Startz (1998) Three-state Variance Switching\n", "\n", "This model demonstrates estimation with regime heteroskedasticity (switching of variances) and no mean effect. The dataset can be reached at http://econ.korea.ac.kr/~cjkim/MARKOV/data/ew_excs.prn.\n", "\n", "The model in question is:\n", "\n", "$$\n", "\\begin{align}\n", "y_t & = \\varepsilon_t \\\\\n", "\\varepsilon_t & \\sim N(0, \\sigma_{S_t}^2)\n", "\\end{align}\n", "$$\n", "\n", "Since there is no autoregressive component, this model can be fit using the `MarkovRegression` class. Since there is no mean effect, we specify `trend='n'`. There are hypothesized to be three regimes for the switching variances, so we specify `k_regimes=3` and `switching_variance=True` (by default, the variance is assumed to be the same across regimes)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:25.060992Z", "iopub.status.busy": "2022-11-02T17:07:25.060628Z", "iopub.status.idle": "2022-11-02T17:07:29.064022Z", "shell.execute_reply": "2022-11-02T17:07:29.063392Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the dataset\n", "ew_excs = requests.get(\"http://econ.korea.ac.kr/~cjkim/MARKOV/data/ew_excs.prn\").content\n", "raw = pd.read_table(BytesIO(ew_excs), header=None, skipfooter=1, engine=\"python\")\n", "raw.index = pd.date_range(\"1926-01-01\", \"1995-12-01\", freq=\"MS\")\n", "\n", "dta_kns = raw.loc[:\"1986\"] - raw.loc[:\"1986\"].mean()\n", "\n", "# Plot the dataset\n", "dta_kns[0].plot(title=\"Excess returns\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "mod_kns = sm.tsa.MarkovRegression(\n", " dta_kns, k_regimes=3, trend=\"n\", switching_variance=True\n", ")\n", "res_kns = mod_kns.fit()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:29.068973Z", "iopub.status.busy": "2022-11-02T17:07:29.067799Z", "iopub.status.idle": "2022-11-02T17:07:29.086442Z", "shell.execute_reply": "2022-11-02T17:07:29.085838Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: 0 No. Observations: 732
Model: MarkovRegression Log Likelihood 1001.895
Date: Wed, 02 Nov 2022 AIC -1985.790
Time: 17:07:29 BIC -1944.428
Sample: 01-01-1926 HQIC -1969.834
- 12-01-1986
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.0012 0.000 7.136 0.000 0.001 0.002
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.0040 0.000 8.489 0.000 0.003 0.005
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 2 parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.0311 0.006 5.461 0.000 0.020 0.042
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.9747 0.000 7857.416 0.000 0.974 0.975
p[1->0] 0.0195 0.010 1.949 0.051 -0.000 0.039
p[2->0] 2.354e-08 nan nan nan nan nan
p[0->1] 0.0253 3.97e-05 637.835 0.000 0.025 0.025
p[1->1] 0.9688 0.013 75.528 0.000 0.944 0.994
p[2->1] 0.0493 0.032 1.551 0.121 -0.013 0.112


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: 0 No. Observations: 732\n", "Model: MarkovRegression Log Likelihood 1001.895\n", "Date: Wed, 02 Nov 2022 AIC -1985.790\n", "Time: 17:07:29 BIC -1944.428\n", "Sample: 01-01-1926 HQIC -1969.834\n", " - 12-01-1986 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.0012 0.000 7.136 0.000 0.001 0.002\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.0040 0.000 8.489 0.000 0.003 0.005\n", " Regime 2 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.0311 0.006 5.461 0.000 0.020 0.042\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.9747 0.000 7857.416 0.000 0.974 0.975\n", "p[1->0] 0.0195 0.010 1.949 0.051 -0.000 0.039\n", "p[2->0] 2.354e-08 nan nan nan nan nan\n", "p[0->1] 0.0253 3.97e-05 637.835 0.000 0.025 0.025\n", "p[1->1] 0.9688 0.013 75.528 0.000 0.944 0.994\n", "p[2->1] 0.0493 0.032 1.551 0.121 -0.013 0.112\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_kns.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we plot the probabilities of being in each of the regimes; only in a few periods is a high-variance regime probable." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:29.091398Z", "iopub.status.busy": "2022-11-02T17:07:29.090223Z", "iopub.status.idle": "2022-11-02T17:07:29.879981Z", "shell.execute_reply": "2022-11-02T17:07:29.879231Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, figsize=(10, 7))\n", "\n", "ax = axes[0]\n", "ax.plot(res_kns.smoothed_marginal_probabilities[0])\n", "ax.set(title=\"Smoothed probability of a low-variance regime for stock returns\")\n", "\n", "ax = axes[1]\n", "ax.plot(res_kns.smoothed_marginal_probabilities[1])\n", "ax.set(title=\"Smoothed probability of a medium-variance regime for stock returns\")\n", "\n", "ax = axes[2]\n", "ax.plot(res_kns.smoothed_marginal_probabilities[2])\n", "ax.set(title=\"Smoothed probability of a high-variance regime for stock returns\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Filardo (1994) Time-Varying Transition Probabilities\n", "\n", "This model demonstrates estimation with time-varying transition probabilities. The dataset can be reached at http://econ.korea.ac.kr/~cjkim/MARKOV/data/filardo.prn.\n", "\n", "In the above models we have assumed that the transition probabilities are constant across time. Here we allow the probabilities to change with the state of the economy. Otherwise, the model is the same Markov autoregression of Hamilton (1989).\n", "\n", "Each period, the regime now transitions according to the following matrix of time-varying transition probabilities:\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00,t} & p_{10,t} \\\\\n", "p_{01,t} & p_{11,t}\n", "\\end{bmatrix}\n", "$$\n", "\n", "where $p_{ij,t}$ is the probability of transitioning *from* regime $i$, *to* regime $j$ in period $t$, and is defined to be:\n", "\n", "$$\n", "p_{ij,t} = \\frac{\\exp\\{ x_{t-1}' \\beta_{ij} \\}}{1 + \\exp\\{ x_{t-1}' \\beta_{ij} \\}}\n", "$$\n", "\n", "Instead of estimating the transition probabilities as part of maximum likelihood, the regression coefficients $\\beta_{ij}$ are estimated. These coefficients relate the transition probabilities to a vector of pre-determined or exogenous regressors $x_{t-1}$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:29.885216Z", "iopub.status.busy": "2022-11-02T17:07:29.884060Z", "iopub.status.idle": "2022-11-02T17:07:31.092857Z", "shell.execute_reply": "2022-11-02T17:07:31.092211Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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93xdffBGTJ0/GpEmT2PVrbm7GGWecAQBYtmxZ0r/N5JxmA1OmTMGcOXPY/1dXV2PixInYvXs3+9mbb76Jk046iSlw6HVXXXVVjz+3rKwMmzdvxo4dO3r8Hpdddhmqq6vTvo6/nsFgEM3NzTjppJMAwPSZtwpS7ABKy8Mtt9yCcDiMJUuWpDxOWkOuvfZaVFRUsJ8fe+yxOOuss/Dmm28CQK+fcTPE43G8+uqruOiiizBz5syE3/dEFfLmm29i8ODB+OpXv8p+5nQ68e1vfxs+nw/vv/++7vVXXnmlbo2h+4+/5wQEBASOBAgSQkBAQCCLmDVrFl5++WW0tbVhzZo1+PGPf4yuri58+ctfZv3OqRAIBHDnnXdixIgRcLvdqKqqQnV1Ndrb29HR0ZHwej4AB8AC2La2NgBgZMT48eN1r6uurk5IqOPxOB555BGMHz9e99kbNmww/eza2lrd/yf7LACYOHFiyu/N47PPPsNNN92Er371q7jjjjvYzykpW7BgAaqrq3X/PPXUUwiFQujo6EBTUxMCgUCPj4O+x7hx43Q/dzgcOm8DHsnOhdnnTZo0if0eUBKNw4cPY+fOnVi1ahUkScLJJ5+sIyeWL1+OU089NSOzy3T3RioMGzbM1GRv8+bNuOSSS1BaWoqSkhJUV1fj6quvBgDTe8SIHTt2YPPmzQnXb8KECQBSG7hmck6zAeP5A5RzyJ+/vXv39vp+N+Lee+9Fe3s7JkyYgGOOOQbf//73dZ4hVmC8H5OhtbUV3/nOd1BTU4OCggJUV1ezv7VyPc1gs9kwZswY3c/o+hq9bTJ5biZPnsxIx94+42ZoampCZ2dnRkRfOtD9YXxuqX3DeM/25pkVEBAQGEgQnhACAgICOYDL5cKsWbMwa9YsTJgwAQsXLsSLL76Iu+66K+Xf3XrrrXj66adx22234eSTT0ZpaSkkScJXvvIV057uZK7+MmcCZxUPPPAAfv7zn+O6667Dfffdh4qKCthsNtx2222mn92bvvdkaGtrw2WXXYYJEybgqaee0v2OjuHhhx/G9OnTTf++qKjIssFhNtGbc3HaaacBAD744APs3r0bJ5xwArxeL+bMmYPf/e538Pl8+PTTT/GLX/wio/ftzb1h9n3a29sxb948lJSU4N5778XYsWPh8Xiwbt06/PCHPzS9R4yIx+M45phj8Jvf/Mb09yNGjEj7HvlCNp+tVOBNPQFg7ty52LVrF1577TUsXrwYTz31FB555BE88cQTuOGGGyy9p9X78YorrsCqVavw/e9/H9OnT0dRURHi8TjOPfdcS9ezt8jFGmJEMgWD8bz3B+TrnhMQEBDoawgSQkBAQCDHIGnv4cOH2c+SBcYvvfQSFixYgP/7v/9jPwsGg2hvb+/RZ48aNQqAUoHmq5NNTU0J1bWXXnoJp59+Ov7yl7/oft7e3o6qqqqMPsuIbdu2pf37eDyOq666Cu3t7ViyZEmCCSeZC5aUlODMM89M+j7V1dUoKCjo8XHQ99i5cydrBQGUEYJ1dXXMQNLKe2zbto21GvDHQL8HlOrnyJEjsXz5cuzevZtJsOfOnYs77rgDL774ImKxGObOnat7n57Iw3uD9957Dy0tLXj55Zd1x7Jnz56E1yY7trFjx2L9+vX4whe+kPHxZ3JO84VRo0ZZvs/Ky8sTnuNwOKxbFwgVFRVYuHAhFi5cCJ/Ph7lz5+Luu+9mJEQ2rn1bWxveffdd3HPPPbjzzjvZz3vTBgIoz/Hu3buZ+gEAtm/fDgBJlUQE/hobsXXrVlRVVcHr9cLj8Vh+xklNYDz3RhVCdXU1SkpKsGnTppTHmMm5HzVqFDZs2IB4PK5TQ1DrUl/cswICAgL9AaIdQ0BAQCBLWLZsmWnFivqYeZmw1+s1JRbsdnvCezz22GM9rtqdeeaZcDqdeOyxx3Tv++ijj1r67BdffFE3/jAVhgwZgunTp+Nvf/ubTsr9zjvvWGpFueeee7Bo0SL8+9//NpWTz5gxA2PHjsWvf/1r+Hy+hN/TaFK73Y5zzjkHr776Kvbt28d+//nnn2PRokVpj2PmzJmorKzEn//8Z0SjUfbzf/7zn5Zl0TNnzsSgQYPwxBNP6JQZb731Fj7//HNccMEFutfPmTMHS5cuxZo1axgJMX36dBQXF+OXv/wlCgoKMGPGDN3fJLuHcgWq0vL3SDgcxh/+8IeE13q9XlM5/xVXXIGDBw/iz3/+c8LvAoEAuru7k35+puc0Hzj//PPx4YcfYs2aNexnTU1N+Oc//5nw2rFjx+KDDz7Q/ezJJ59MeLaN4zGLioowbtw43Xf2er0AEhPrTGB2PQHztSFT/P73v2f/Lcsyfv/738PpdOILX/hCyr/j1xD+u23atAmLFy/G+eefz47d6jNeUlKCqqqqhHNvvG9tNhsuvvhi/O9//8Mnn3yScGx0njI59+effz7q6+t104qi0Sgee+wxFBUVYd68eWnfQ0BAQOBIhFBCCAgICGQJt956K/x+Py655BJMmjQJ4XAYq1atwvPPP4/Ro0frjP5mzJiBJUuW4De/+Q2GDh2K2tpanHjiibjwwgvx7LPPorS0FFOmTMHq1auxZMkSVFZW9uiYqqur8b3vfQ8PPvggLrzwQpx//vn49NNP8dZbbyWoGy688ELce++9WLhwIU455RRs3LgR//znPxP6u1PhwQcfxAUXXIDTTjsN1113HVpbW/HYY49h6tSppsQBYePGjbjvvvswd+5cNDY24h//+Ifu91dffTVsNhueeuopnHfeeZg6dSoWLlyIYcOG4eDBg1i2bBlKSkrwv//9D4BCaLz99tuYM2cOvvWtb7HAf+rUqWn7610uF+6++27ceuutOOOMM3DFFVegrq4OzzzzDMaOHWupEup0OvGrX/0KCxcuxLx58/DVr36VjZMcPXo0br/9dt3r58yZg3/+85+QJIm1Z9jtdpxyyilYtGgR5s+fn+DRkOweyhVOOeUUlJeXY8GCBfj2t78NSZLw7LPPmhJvM2bMwPPPP4877rgDs2bNQlFRES666CJ8/etfxwsvvICbbroJy5Ytw6mnnopYLIatW7fihRdewKJFi0xNAYHMz2k+8IMf/ADPPvsszj33XHznO99hIzqpAs7jhhtuwE033YTLLrsMZ511FtavX49FixYlPIdTpkzB/PnzMWPGDFRUVOCTTz7BSy+9pDN7JELq29/+Ns455xzY7XZ85StfyejYS0pKMHfuXDz00EOIRCIYNmwYFi9ebKpsyQQejwdvv/02FixYgBNPPBFvvfUW3njjDfzkJz+xZJb58MMP47zzzsPJJ5+M66+/no3oLC0txd13381el8kzfsMNN+CXv/wlbrjhBsycORMffPABU2fweOCBB7B48WLMmzePjZA9fPgwXnzxRaxYsQJlZWWYPn067HY7fvWrX6GjowNutxtnnHEGBg0alPB+N954I/70pz/h2muvxdq1azF69Gi89NJLWLlyJR599FEUFxdnfoIFBAQEjgT0yUwOAQEBgSMQb731lnzdddfJkyZNkouKimSXyyWPGzdOvvXWW+WGhgbda7du3SrPnTtXLigo0I3KbGtrkxcuXChXVVXJRUVF8jnnnCNv3bo1YYxfshGENDKSHx8Xi8Xke+65Rx4yZIhcUFAgz58/X960aVPCewaDQfm73/0ue92pp54qr169OmHsHH3Giy++aHoe/vOf/8iTJ0+W3W63PGXKFPnll1+WFyxYkHJEJ71nsn94fPrpp/Kll14qV1ZWym63Wx41apR8xRVXyO+++67ude+//748Y8YM2eVyyWPGjJGfeOIJNr7SCn73u9/Jo0aNkt1utzx79mx55cqV8owZM+Rzzz3X8rl4/vnn5eOPP152u91yRUWFfNVVV8kHDhxIeN3mzZtlAPLkyZN1P7///vtlAPLPf/7zhL9Jdg/Rd6RxiASrYxbnzZsnT5061fR3K1eulE866SS5oKBAHjp0KBtDa7znfD6f/LWvfU0uKytLGM8aDoflX/3qV/LUqVNlt9stl5eXyzNmzJDvueceuaOjI+WxybK1c5qNEZ1mYzKNz4Isy/KGDRvkefPmyR6PRx42bJh83333yX/5y18S3jMWi8k//OEP5aqqKrmwsFA+55xz5J07dyY8h/fff788e/ZsuaysTC4oKJAnTZok/+IXv9CN+o1Go/Ktt94qV1dXy5IksXuaRj0+/PDDCcduNqrywIED8iWXXCKXlZXJpaWl8uWXXy4fOnQoYXRlJiM6vV6vvGvXLvnss8+WCwsL5ZqaGvmuu+7Sjf9NdZyyLMtLliyRTz31VLmgoEAuKSmRL7roInnLli0Jr7P6jPv9fvn666+XS0tL5eLiYvmKK66QGxsbTcem7t27V77mmmvk6upq2e12y2PGjJFvvvlmORQKsdf8+c9/lseMGcPGgdK9b3Z/NDQ0sDXd5XLJxxxzTMK40FTnw+wYBQQEBAY6JFkWbjcCAgICAgLpEI/HUV1djUsvvdS0nUBA4GjHtddei5deeiml6klAQEBAQEB4QggICAgICBgQDAYT2gz+/ve/o7W1FfPnz++bgxIQEBAQEBAQOAIgPCEEBAQEBAQM+PDDD3H77bfj8ssvR2VlJdatW4e//OUvmDZtGi6//PK+PjwBAQEBAQEBgQELQUIICAgICAgYMHr0aIwYMQK/+93v0NraioqKClxzzTX45S9/mWAQKSAgICAgICAgYB3CE0JAQEBAQEBAQEBAQEBAQCAvEJ4QAgICAgICAgICAgICAgICeYEgIQQEBAQEBAQEBAQEBAQEBPKCfu0JEY/HcejQIRQXF0OSpL4+HAEBAQEBAQEBAQEBAQEBARPIsoyuri4MHToUNltyvUO/JiEOHTqEESNG9PVhCAgICAgICAgICAgICAgIWMD+/fsxfPjwpL/v1yREcXExAOVLlJSU9PHRCAgICAgICAgICAgICAgImKGzsxMjRoxgeXwy9GsSglowSkpKBAkhICAgICAgICAgICAgINDPkc5KQRhTCggICAgICAgICAgICAgI5AWChBAQEBAQEBAQEBAQEBAQEMgLBAkhICAgICAgICAgICAgICCQFwgSQkBAQEBAQEBAQEBAQEBAIC8QJISAgICAgICAgICAgICAgEBeIEgIAQEBAQEBAQEBAQEBAQGBvECQEAJZwYE2PzqDkb4+DAEBAQEBAQEBAQEBAYF+DEFCCPQaLb4QTv/1e/j6X9b09aEICAgICAgICAgICAgI9GMIEkKg1zjcEUQkJmN3o6+vD0VAQEBAQEBAQEBAQECgH0OQEAK9RiwuAwD8kRhkWe7joxEQSI14XNyjAgICAgICAgICAn0FQUII9BrReByAQkaEY/E+PhoBgeTY1eTD8fe9g8fe3dHXhyIgICAgICAgICBwVEKQEAK9RjSmVZYD4VgfHomAQGqs39+OjkAES7Y29vWhCAgICAgICAgICByVECSEQK8R4+Tt3YKEEOjHiKhKneauUB8fiYCAgICAgICAgMDRCUFCCPQakTivhIj24ZEICKRGWFXtNHWFhH+JgICAgICAgICAQB9AkBACvUYsrvlA+IUSQqAfIxJV7tVwLI7OoCDMBAQEBAQEBAQEBPINQUII9Bq8J0R3SJAQAv0XEc44tUm0ZAxo/PmD3fjS71egMxjp60MREBAQEBAQEBDIAIKEEOg1onw7RkRUlwX6LwQJceTgpbUHsP5AB9btbevrQxEQEBAQEBAQEMgAgoQQ6DV4EkK0Ywj0Z4Q51U6TT5AQAxk0GjgYEWOBBQQEBAQEBAQGEgQJIdBr6DwhRDuGQD8Gr4QQEzIGNmgqTzAi1hwBAQEBAQEBgYEEQUII9BqRGK+EEO0YAv0XZEwJCCXEQAcpsAKChBAQEBAQEBAQGFAQJIRArxHj2zFEQiDQjyE8IY4cCCWEgICAgICAgMDAhCAhBHoNnSeEaMcQ6MfQeUIIEmJAQyghBAQEBAQEBAQGJgQJIdBrRLnqsjCmFOjP0HlCiHaMAQ1NCSGMKQUEBAQEBAQEBhIECSHQa8TEiE6BAQLRjnHkgMhP0Y4hICAgICAgIDCwIEgIgV6Db8foFu0YAv0YYc6YsqU7jDh37woMLBD5GRDqKwEBAQEBAQGBAQVBQgj0GqIdQ2CggFdCxOIy2vzhPjwagd4gKowpBQQEBAQEBAQGJAQJIdBrREU7hsAAAW9MCYgxnQMZMWFMKSAgICAgICAwICFICIFeQzeiUyghBPoxIlG9iaHwhRiYkGWZU0IIY0oBAQEBAQEBgYEEQUII9BqRmBjRKTAwwLdjAIKEGKjgrTxEO4aAgICAgICAwMCCICEEeo1YnPOEEO0YAv0YREKUeBwAxJjOgYoot+aIdgwBAQEBAQEBgYEFQUII9Bo6TwjRjiHQj0GeEEPLCgAIJcRABd8CJpQQAgICAgICAgIDC4KEEOg1ojExolNgYICUEIKEGNjQm+GKNUdAQEBAQEBAYCBBkBACvYYxIYjH5RSvFhDoOxAJUV7oAgB0C+XOgESMIz6D4hoKCAgICAgICAwoCBJCoNfgPSEAIBgVSYFA/wRNxyh02QEA0ZiYrDAQwROfwai4hgICAkcWQtEYfvzyRryzpaGvD0VAQEAgJxAkhECvwbdjAKIlQ6D/gjwhGAkhVDsDEjHhQyMgIHAE48Pdrfj3mn343bs7+vpQBAQEBHICQUII9BrGRE4kBQL9FdSOUaCSEGFRRR+QiMm8EiIGWRZkkoCAwJGDdn8YANAdFhPHBAQEjkwIEkKg14gZSAgxplOgv4JICKGEGNjgPSFkGQgJMklAQOAIQmdQiaNCEbG2CQgIHJkQJIRArxEx9NWLdgyB/gpNCeEAIDwhBiqiRh8aMSFDwCIeXrQVz6zck9PP2HyoA699djCnnyFwZKMrGAEg1jYBAYEjF46+PgCBgQ+jEkK0Ywj0R8iyjIhaQfeqSohITCghBiKMa05QVAsFLKCxM4jHl+2C0y5hwSmjIUlSTj7njufXY1tDF6YMKcH4muKcfIbAkY0uVQkhSAgBAYEjFUIJIdBrGCXtftHDmBeEojERoGQAnnAoJCVEXCSvAxEJPjTiORCwALpPIjE5py089Z1BAEBTVyhnnyFwZIOUEKLVTEBA4EiFICEEeg1jIicSgvzgS79fidN//R5CYiSqJYS51gttRKdQQgxEJCohxDMgkB5862B3KDdkuSzLLIEUe6FAT9EZUO7PaFwWbYMCAgJHJAQJIdBriBGd+UcsLmNrfRcOdwTR0CGqbVYQiSaSEJE8KiGCkRh+8NJ6Mfc9CxBKCIGeIBzV7ht/jtoGu8Mx0O2Zq88QOPJBRBYABIUaImfY1eTDpoMdfX0YAgJHJQQJIdBrUFXS7VBuJ9GOkXvw6pP2QLgPj2TggKqgNglwO1QSIpo/JcTqXS144ZMDeOSd7Xn7zCMVMaMxpUj2BCxAp4TI0T7FJ4/CH0mgpyBPCEAovXKJr/35Q1z6x1Xw5UgZJSAgkBw5JSEefPBBzJo1C8XFxRg0aBAuvvhibNu2LZcfKdAHiKgkREmBE4AIvPIBXn3S7o+keKUAgdoxnHYbHHbFkC6fnhCdanLS5BPKld7CqL4KipYkAQsI56Edg08eBSEv0FPw95HwhcgNZFlGQ2cI4Wgcbd2imCMgkG/klIR4//33cfPNN+PDDz/EO++8g0gkgrPPPhvd3d25/FiBPIOqkiUexeyvW5AQOQefhLX5xeZpBWRM6bLb4FRJiHxOxyByrrU7jHhceFH0BokTeUSQLpAefEtWrtoGdUoIMbVFoIfQtWMIJUROwO8jxlHzAgICuUdOR3S+/fbbuv9/5plnMGjQIKxduxZz587N5UcL5BGUEBd7SAkhqj+5Bl/B7wgIJYQVUJDhdNjgtCv8az4Nv6g/PBaX0RmMoKzQlfL1729vwuNLd+KXlx2DMdVF+TjEAQOjJ4QI0gWsgFdC5Eql0MlVsMVeKNBTiHaM3IPfR8KChBAQyDvy6gnR0aGYv1RUVJj+PhQKobOzU/ePQP9H1NCOIcy4cg9+82zrFiSEFYSj1I4hwaGSEJE8KhL4pKfZl1698p+1B7CmrhX/XX8ol4c1IJGghBBBuoAF8Mqn3Ckh+HYMcV8KZI5YXEZXSLRj5Bo6EmKAnOOD7QHMf3gZ/rJiT18fioBAr5E3EiIej+O2227DqaeeimnTppm+5sEHH0RpaSn7Z8SIEfk6PIFegBICascQgVfuwW+ewpjSGiKcJ4TTpnpC9IESAgBaLPhCUPVrX6s/Z8c0UCGUEAqEhDgzRPKghOBl9P6j9L4U6B2MJolH6/qWa8RiA68d4+M9rahr8eOtjYf7+lAEBHqNvJEQN998MzZt2oTnnnsu6Wt+/OMfo6Ojg/2zf//+fB2eQC9ArQHUjiHMuHIPPnkWxpTWwHtCkBIiLidW1XMFHQlhwQSLql/7BQmRgITpGEdhkP6rt7di+j2LsbvJ19eHMmDAJxq+HCkhOgOcjF4Q8gI9AE9kAUBIeIvkBHxba1+qTcLRuOU9jKb6CDNmgSMBeSEhbrnlFrz++utYtmwZhg8fnvR1brcbJSUlun+OFAwUlrUnIE+IkgKhhMgXIrrpGEIJYQURk+kY/M9zDZ6cs6KECEWFEiIZjEqIo7Ed46PdLegOx7BRzLi3DF5ynRclhNgLBXoAvqUHODpJ1nwgV+0Ye5q78etF2yxP3Lj0jysx96FllibL+VXyVBBTAkcCckpCyLKMW265Ba+88gqWLl2K2traXH5cv8WKHc2Ydtci/PjljUckGcE8ITzCEyJf4Kv3bUIJYQlsRKdDgtOmLX3GhDZX4J8LK54QVJlp6AyJINQAMR1Duz9EMGod+hGdefCEEM+tQA9gJCGEJ0RuENVNx8heHPDkB7vx+2U78epnB9O+NhKLY9PBTjR2hbCjsSvt64USQuBIQk5JiJtvvhn/+Mc/8K9//QvFxcWor69HfX09AoFALj+23+HjulaEonH8e80+LPjrmgSpHWFnow9/X1034Mb3JXpCiHaMXIMns8R0DGuIRM2VEPnyhQjo2jEsKCG45FK0ZOgRNQSMR2NAxkiIo/C79xSRPCshxHSM3mN/qx8XP74Sb2w4enrgjTGiIKFzA94TIptKCLp+VmKzbs7/Y09zd9rXUzEjKMhngSMAOSUh/vjHP6KjowPz58/HkCFD2D/PP/98Lj+234EPdlbtasGflye62kZicVz79Brc+dpmrNzVnM/D6zUoIS5VRw7mqsIkoEGvhBDtGFZAlQ6n3QaHTUr4ea7RrWvHsKKE0J6jvS2ChOBhVEIcjb33dH+IYNQ6dNMxcnTP8FXso7FNKNtYtq0Rn+1vx3Mf7+vrQ8kbOo9CEkKWZfzs1Y14dMn2vH1mhPOECMeyd46J0LCyNvPrRV1z+n2e8onQUXBPCBz5cOTyzWV5YFX0cwViLiu8LrR2h7HlUGIP76ufHsSBNkUh0mqxj6y/gBKC8kKlHSOZ0kMge+ANlToCEcTjMmxcYi2QCCLLXHYbJEmC0y4hEpN15zKX0CkhMmjHAMx9Ifa3+nGoPYATx1Rm5wAHEBKmYxyFagBSyhwNCUq2oG/HyJUSQozozCY61WpyU1d69diRggRPiKOgHeNwRxD/+HAfbBLw7TPG5yWe4cnsSDR7+QqtM1bWZh0J0WJBCaEW+Y6Ge0LgyEfepmMczaDkY+pQxWjTKLmKxWX84b1d7P8HWo8vJQRlBaoSIhzL28SBoxV8RU+WEysnAomgwMDlUJY9h+oLYZT25wr+TNsx0pAQ3/rnOlz55IfYayFwOdJgnI5hxdDrSAPdH0cjAdNTRPJAQnTq2jHEtektOtUkrdmCmS8APLV8N+Y/vAwH2wdu22+CJ8QAiwl7AmpdiMt61WAuwe/9oSy2ZUYyICF8GbZj0LkJR+MDrnVbQMAIQULkAbRoTB1aCkBJKPg+9Dc2HtYtPgOtx5e+S5mqhADyt4kcrTCSPGJMZ3po0zGUCgv5QuRvOkZmIzr5AMaMhKjvDAIAU1AdTSDiU1KLZUej7J32iaMhQckW+Gc9VyqFVEqIA23+AZ0c9wVIWdnSHbbk3/PS2gOoa/Hjk7rWXB9azpDQjjHAYsKeoJPzTzCSMLkCr4LMpieE1o5hhYTQvrclJQS3pgjDUoGBDkFC5AG0aIyt9sLlsCESk1kgIssynlBVEHZVfjaQenzjcRmUD3vdDrjsyi3ly9MmcrTCmDgLX4j0CHPGlPy/8+UJwXvDtPsjacmPdEoI6gnNV8DWn0AkXJFL6SgcSGtmNiDLMvvOR0OCki3oPSF6/tx0BCJ4e1O9aeKiU0JwSUg4GseFj63ARY+tyJsZ7pEAUkLIcvpWVVmWGSnbG3LOH47i5n+uw2sWphvkAkfjiM5O7jv7cqRSMkI/HSMXJERmnhDt/gja/WHsavIlNaPmFVwDrWApIGCEICHyACIhij0O1FZ6AWiyq4/2tGLL4U54nDacOXkQgIG1sMQ43w+7TUKROiEjX5vI0QpjC0G7mJCRFrwnBABmTtkXSggAONQewG8Wb8OOhsSxXLIs6xKcfa3+BOkltZccjR4sFDx63URCDJw1MxvgvQ2ONgKmN+CfKX8vDJQfXbIdN/1jbcIIvnhc1u194WicEWbNvhDa/RG0doeFeXMG4CvkTWlaMtr9EXb+e6OO+nB3C97YeBh/WLYr/YtzAEpMyWfraKh48/tY3pQQOZqOEVbf1wpBbIyVP9rTioseW4Er/7Ta1FePjyPE2i8w0CFIiDyAFo0ClwOjqwoBaCTEX1cokzIuPWE4Bpd4AAysDYdfxB02CUVqUnA0Jkb5hNGYr/0IUEK8+3kD5j+8DGv35kZGy0/H4P9tPJe5QCwus+eayI+HFm3D75buxK8Xb0t4vXENCEfjaOSM2WRZe7+jWgnhOTpJCP7+ONq+e2+QLWPKBrUVap9hak13OApj3kAKKL6KfzS2D/UU/PqWzpySV4z15rkgf4J0pEeuQMRLdbEbwNHxjPNkU/6UELlqx1CulxVPGOP+/fiynfCHYzjUEdSpQwi8gutouC8EjmwIEiJLCEZiSaeB0KzwQpcdtVVFABQSYl+LH+983gAAWHjKaLiddvZeAwX8Iu6w8yTE0ZcY5RPGiQ792ROisTOIOQ8txW+X7Ej5urc21aOuxY+lWxtzchysHcOhkADkDZEPaTTfijGsvAAA8M5m5dk3M6Pik8whpQo5yQfY0bjMkp2B/qztbOzCGb9+D/9Ze8Dy3xD5SevN0ZbU8VLzgURa9zUi3LlSCIOeEZBUgTS2wdGz6LRLml+Jmoi0CBKiR+ALGulIiP1tPAnR8+eCrmOb35oPRbZB35lIiKPB90XXjpGnPS2Wq3YMMqa0sDYbv+uGA9r0PDMz1oDwhBA4giBIiCygsSuIWfcvwXee+8z09zSPvNBlx5gqrR3jb6vrIMvA3AnVGF9TDI/q2j+QFhZ+EXfYbCgW7Rh5gdGYsq0fkxCf7G3D/tYAXt9wKOXr2tQgPVdSZc2YUm3HyKMnBAUOkgQMLVVICApU9rX6E5IhasmSJGBsdRF7nfZ7bY0Y6KqjFTuasbu5G/9dn/r+4EHTMRgJkecpBLG4jMauYF4/kwffsjeQSOu+Bp9oxOWe77V0/o3kLyWvxR4nCtSiAhEOrdxEHL8wbrYMPjlNp0zY36qZfvbGK6WL86Hoi72VPr+q6MhUQnywvQn/+HCvbt/j9zHerDGX0E3HyGLcTeM+QxlMx3A7EtMxs1HefHx0pN0XAkcfBAmRBexs9KErFMWybY2mlZUAIyEcqK1WSIjtDV14Sa38XXvKKAAYkEoIPoGzSdBIiAFene3vMCbOHf24HYMC9XQTIVrV75ArAiuZJ4RRVZILUEtWodOOKrW6RQhG4gkVPqp8uR021KhtWnzSG9aREAP7WSOSNp3pHA9qoSESIt8z03/y8kac+MC72HSwI/2LcwA+YD4aqqTZgnHd7GlLRnIlhLLWFXscKHQp+7mf3d8R7u/T7/Ed/gi++8L6AT3lIRvIRAnBE7W9ISZ5c9FUo0Fbu8P410f7sj4im9b0apWEGEiFKSv4wUsb8LNXN2HR5nr2s86A9izmbzoG5wmRCyWEheecvuvUoSUJvzPee7G4rFNRDaRcQUDADIKEyAKITe0KRhMqI7Iss6qH0o6hkBANnSF0BCIYVlaAeRMUQ0r3AFZCKPJT0Y6RLxglov1ZCUGBeps/nKDg0L2OKSFyRUIk8YTIgxKC+jgL3Q5Uel0JvzdOv6A1wO2wY1CJEog2doa432vBR1eeqka5glnPfDrEDMaUvAEg4eV1B3Lmbr/+QDtkWSGT+wI88SCmY1iHMdHo6ZhOCv6N666mhHCgIIGE0J7fQDj9Hv/i2v34z7oD+O6L603XzUA4ho/rWlOuqQMd4Whc11aRjoQ40MarxXqvhADMq9GEP763Ez95ZSOeXb23x59l/vlHticEFRweeWcHM1zu7ANjyhhXgIhk1RPC+nQMUn0cM6yU/YxaRY0khLGNK9/k+9GAQDjGPGEEcg9BQmQBvMRzr0kyQTFCocuOSq+LqQUA4CuzRrDRnKSEGEiVLaoi03cgo7gu0Y6RUyQYU/bjRZMWdEXamjygoyQ0V0qIcEI7hqT7eS4R4Fqyqoo0EqJMdT9PJCGU17sdNlYN46XIR5QSIkQ989ZN4Oj+59dSPlDvCkbw/Zc24LsvrM9JAE/3cXee20AIfIJl3C9+8spGfPmPq0RLnAmMfd89PUd0TxkNgSmRKnY7UejUtwrxJJuVdoyt9QrBtbfFjyWqdxSPR5Zsx+VPrMb/MmhjGmgwtpqlUiUARmPK3ntCpPvMbQ0+AECdia9PTxGNxdm6wkiII4hojMW1yU/bGrrwxsbDAPTnPF9rF6+MyokSwsJ1Y0qIYaUoK3SiyO3A2VMHAwCaDQSY33BerLR7CGSGLz2+AvMfXnbEEX/9FYKEyAL4hWxvi34z4isthS4HJEliagi7TcIVs0aw35MSYiBtOFRFdtiUYy/2KEmVaMfILUgJQX3H/Xk6Bn9syardkVic9f7mrB3DaExpy58Sgk3IcdpR4VUCywqvC2dNrgGQQgnhtLFAlK8C8mopMwftgQRSvgQjccu98poSws5+xgcNDZ0hxOIyonE5I4WFFciyjDZVWp8r1U466KZjcPtFOBrHc2v24ZO9bTlLTo2jYgcSjA74PfVmoATXqHzsNFFCUPWSr6ibGVMGIzHc9domLFONeXmVzVPLdye8ngxt9xomdBxJMBKsqZQQsbiMQ+2aJ0Sv2jEC1toxKN6r78yePwy//2meEAOnMJUOxuTu0SXbEY/LOiVEXxhTZms6Bj9e28o9SNe7qsiF//y/U/DaLadinOoDZbz3jKS3UEJkF9FYHNsbfGjzR1Df0XeeT0cTBAmRBfA95caAgIIct8PG1AJEQnxh0iDW7w0AngGphFBJCLWqTO0Y+TIWOlpB572qWKmq9+fpGLxkOZm0lT/+3LVjGDwh7Pn3hPC6HThtXBWqity4/rRajFbXggQSgnlC2BkJ0dyVTAnRf6+9FfBEbSrpMw+6Zg6bDS6VvOUTOz54y/az4QtFWaWrX5AQ3Pc+0OZnyrsXPtmf9c/995p9OObuRfh4gPoUGJUQPTXBpfMfiMQSFDiA3piSYgBeBWZWZftoTyv+tnov7vrvZsTjso6E+LiuDZ/tb9e9nhK17iPY5DITEqK+M6grCPXOmJLbs1IQ5wfaFNLjcBYTFvrOHqeNKUt701rS38Cv0y67DbuaunGgLdBHIzqzPx0jYjC7TDeBh57jIrcTY6uLMLa6iPlGtRhJCMN5EdX67IIneY7kdbU/QZAQWUBUp4QwkhCaDJtw3am1OGPSIPzg3Em612qeEANnYSEmmUz+xHSM/ICREGqlJFWbQ1+jgychkkju+ePP3XQMc0+IfEzH4H1hRlYW4pOfnYmbTx+HERWFAID9qdox1ICkscvcE2Kgq474zT6deSmB4kWHTWLJHl8t1JEQgew+G23dPGHWR+0YOnMy7XvXcUq8T/e1Y0eWPSs+2N6E7nAMq3e1ZPV984Ww4VnvqRKCP/88yUUJZEmBZkxpOqLTpEJKbWv7Wv34ZG8bgpE4XA4bvjR9KIBEUom8YPLdjpWPxGdPczf84SgjA2pUX5zOYDTp5+8zxF69OU5dO0YS4uNAW4DFP9msmnZyRJbHkbi2DXTQve9x2lBTSntbUHfOs230mQy8t1a2vNiMZEa696XWZSrgAUCV6htlbMcwKqgGkn/cQAC/H/TUL0ggMwgSIgvge8mStWMUurQF5rgRZfjrtbMwblCR7rUek2C6v4MWXOYJcYQaU/7ro3347gvr+2RmuBnoOIiE6ApG+82xGcEngcmk8fzP8+UJQeZP+ThvfDsGj5EqCZHcmNKGQSoJ4QtF2SYZOoI8IfxcIt9q0ReCDMXsdo2E4KuXfOKQbSVEq44w63slBE9I1TXr76NsqyEoOejPpGcqUEuWul31mETiq+z8udApIRKMKTlPCJMEme/3/tdHitHhuOoinDVFadn6/HCn7vX03OfzHnx702FMvWsRm+yVC2xv6MLpv34P3/73Z+x+G1ZWwBRsydoj9qumlJJ6bbPlCZGMGOUJP18omjVFGk2JKPE44HGqLbpHUMWbvkuB045BxTT5KaRvx+gDJUS22jGM78Nfu0fe2Y4z/u89HWHm41q4CKSESGjHEJ4QOQV/fkUhNT8QJEQWoFNCtJq3Y/BKiGQY2EoI5diPVBLioUVb8Z91B7BuXzsA4IWP9+MvK/b02fHwSggKqLPd+54t8O0YRmafvaZbn9ilkjDG43KPpJMRRkIoJ4zu2UgeetwDXDsGDyIhGjpDumCFn45R5NaC0eausO73gFIdyZaUtC+gU0JYbsfQFFgTBxcDAFZx1fmmHLZj8ESJr48km/p2DE3yS4nRxBrlnLy87mBakm3t3jbLawclSB39uP0rFeg5KS1QvIt6IrmNxWWdekpPQmgJZCHnCRGNxXX3YdCkysYHvW9uVEYXThxcjAnqtdzZ4NOti31BQqzd24ZYXMaaPblTwuxuUu7hjQfbmcdGSYHT1BuHxwE19qI1tXdKiPSeEHsNZpTZUkOQh1J5oUszK89hxXvVrmas2tWcs/c3IqAjIZRruq/Vr3umeqruy3Rd4tfGbO2hRoNLngx78ZP92N3UjYcWbWWfSeeDJyFogpZxPzRW548kcqo/gCel/X2kcjzaIEiILIDvKW/qCumCArqRMyEhBpISwugJwYwpjyAWsd0fZgHk3pZuBCMx/PiVjbjv9S19Zl5DxJfbYWNGh01pnMP7ArIs6wKD1u4QWnwh/OCl9Vi3r037ORfIR+NyyqDrW/9chxMfeDftuDYjmCeEw+AJkYcEnpKdAsM6UK66YQOG8XJqcOF22iBJEteSodxvxmpLvloylm1txHdfWN8r0zcj+MDKajJM5KfdZsP5xyhO4m9sOMx+T2QN0LuqfTQWx+ZDHWjsDLIEsJVrxzC6lecLRqKanpc6tcJ2zSmj4LRLaOkOoyHFc7LxQAcu++Mq3P78Z5Y+l1oGBqwSQn3WywqVIL8nSgjjuTdrxyj2OJj6MRCOJUwvMjOm5J8DSmQm1BRjdKUXdpuErlBUZ4BIz3w+J1HRvs4/A9kGFW4au0KMnC7xOFl1ONm6T2qy8YMU0saYoEVj1oxvY3FZ1xuejBitM7R/ZMsXgu6VskInPOpeFY7Gc2IIG4rGcN0zH+O6Zz7OW0LL2jFcduaJtrPRp3tNT+LHf3y4F8fduxj/zcCQV6eEyBYJYdib6Vn3h6M4pN4jr284jI0HOnS5Al+gqOLUj/x1SfSEGDi5Qr7Q4gvhsXd34HBHIP2LDeDPb1+pHI82CBIiCzAuOry0mmSXxuTDDJ48sN7ZRtTQjsE8IY4gJQQfbOxr9aOupZslQXuyOJorE0SYMZ+UtkLUlwhEYrrNvcUXxqufHcILnxzAH5btYj9vMySfyTaAcDSOJZ83oLU7jPe3N2V0LJGocs1cCZ4QeRzRaWjHkCSJ+ULw6wbfjgFAG9OpXmPjGpEP5ZEsy/jpKxvxn3UHsHhLfdbel7/WVkkIXglx1pTBsNskbDncyUbl8dXL3sz8/suKPbjgdysw+4F3cfKDS7H5UIdBtaMFiOkMyLIJo3kx/T+1A46tLmLkVqpganezEvzvavIlfQ0PrR1joCohlGtESoieeEIYA/9k7Rgep9aOYbyvzfqNza7TxMFFcDlsGF2prBE71JGQQW5dzWew7AuZjybNJogAkGVgh5qcFnscbA1MpqbbpSooJg0mEkJ/na566iOc8sulaf0GjLFLsy9k+mwbW2+zp4RQjq+0wMXuISA3caE/FEMwEkcwEs+bDwOvhKDYJYGE6MF+9uFuRZ2z8UC75b/JxXSMRCWE8n2NrXIPLdqqMyGleAQAit0OVizh9zLjuhGKxtAdiuLvq+vENAcV/16zD//3znY88d6u9C82QBhT5h+ChMgCogaGmt+cqFLmdell2GYYyO0YTkM7hi+keBQ8t2ZfgmHUQAN/Pfe2+LGnSfv/fa19Q0LEaDSq3YaqIqWq1x9JCGOy0tIdZgEHz1QbK2t8cheNxVllpK6lmz1vn2To0G/0hCAz1fwYU6okhDtxHRhZUQBAb6zGt2MAYL2zpHYxBkz5CCDXH+hglZxsBjy66RhWlRAxUkJIqPC6cMrYSgBgM+f10zF6njCt3aupdeo7g1i0uUF3jBSo/PzVTTj91+9l9Tp0h6J47bODpu9pTEhC0ZjOrX90pZc566ciqCjhsdIGI8syc7DvzyOBU4HOW3mh2o7RAyWEsWLMKyFovSvxOLl2jGjC+TVTQpgFvdSKQf+miRn8Nc0rCZEHT5AAdx621Svft9iTuh0jHpfZvnLs8FIAet+OWFzGJ3vb0O6P6PZvM9DzRoWVUDRuWpmn4sQolSDKmhKCtWM4WUwI5EZ6z68j+SocBU3aMXap1478fXzhaMbKj/3q2ufL4JnWT8fIThyQzBOCClbDygrgsElYvqOZqUGL3E7d30iSZGpOaVwjgpE4Xv70IO58bTMeeWd7Vo4/F+gMRrBiR3NexjvT+dqV5jk3A09K93ZdFa0y1iBIiCzAKOfmJ2QwQzor7RgDeEQnM6bkpmMs2tyAH728Efe+vrnPji8b4Bnsfa1+7OFICaMkM1/gK8FshKPFfvp8wpistPhC2KNWX/lE1hjU8kHfXf/djBPufQefH+40jK3LkIRQgwMna8dQ/h3NAwnRncIbhnqYf/POdlz91EfYVt+lm44BICEANxKV+VBCvLVJa3fgZeG9gSzLusCqJ0oIADj/mCEAgDdVEoJPVHpTtafAdvboCgBK37nRvwRQzk1dix+bDnT0+LOM+MeHe/Gd5z7DX5Ynes8Yr38wEmdu/R6nDTUlbkZ8p5I2UwIdiMTSqgK6wzE2/nPgKiH07Rg9U0Lozz3dD7Is43C7cr8MLvWwZ90fjiWsb2YBqpEQ8brsGFamEJTjVRNrSrS7dCZ++Qt2u5kSInfXnz8PtN6XFDgSWtIOtPlx/+tb0OIL4UBbAIFIDC67DZMGlwDQTyBp8YVYwcTYGmMEkRDlhS541WtoJJGisTibaHRSrUKA1ndmLv82A53bskInHHYbW+NyoYTg15F8+XgFOHXwILUdg1qKhpYp/y/LmVeiD6rtjJkkj/zeny0lhFFZSYocintOHFOBE0aWAwA+qVNICN4PgmA2ptPoUxCMxNCgxlE7LarZ+gK/eP1zXP2Xj/D25uwpKJOBrv/eHhQI+b2yuxctp29vqsfUuxbhhY+zPyb7SIMgIbIA49gvPjGlBdeKJwTr/4uZ9//tbenO+si13oL8MDRPCG0xJZbXOLZ0oIFXQuxr9TPJN/+7g+2BhJnOuQR/3vtzOwb5QRBJ1dodZsZjLd1hFowbk0/aDKKxOP772SGEY3Es2lyP7fXa/b+rqTujc240pnSRJ0Q8j+0YJuvAvAmD4LLb0BmMYsXOZjz38T5GRLqdehKisdNcCZHKmT0b1QdZlrFokxZANGSJhAhEYuCVztZHdOrbwM6ZqrRkbD7UiYPtAR0h11MTRVmWmdndyarS4kBbQOdf4gvFFN8TNbFp6MqeQoSInkaT59qYkASjMbYuja70QpIkthanCsr5yTXp1BCdXPLWGYzopMwDBUZjyp70nie2YyjnpTMYZYHr0DIPKzwEwrGE+9rMU4Wu07RhShI9aUgJJHXUwzhVCUHtCfxx+0L5I4QoWWwPRHJW1eSJIbrPiz1ONqaTyOs/vb8bT63Yg98v28nIirGDilDo1tpaqY2iodO6Moo3F61UW0CMo6UPtQcRjctwOWw4fmQZgGx6QijHV6oSZdrUtOwbEPP3cr58vAJh5TM9nBKCUF3sZqRLJscTCMfYmp/J38W4vT9bJE+CEkIlenar6/OYKi9GVymFhw1q64gZCVHJlBCJ7RiaajrO9n7jmO/+hK3q87n5UPZI+mSg63+wLZAxscSTPL1RQqzZ04pYXMbq3QNzlHU+IUiILICUECXqQsInqXQjF1ppx0jR/xePy7jsj6vwpcdX9ivDFGKSaeNwO+ys537TQWXByVbC0lfgR3G1doex8aA2Kq2uWamMnv2b93HpH1elfJ9gJIZ/frQXh9p7XzHhz7vWK9v/SAgK0Eep1f42f0SXVFFSbawU0j2+5XAnC3zX7m3DNgMJ9wknl08HZkxp1ysh8tqOYbIOnDa+Cmt/fia+MacWgOJhYGzHYESTLzNPiO5QFHMeWoab/7kuo+NV5M1dLIjfWt+lI1f5oL43MFZ/rY7oNBriVnhdTLL+0e4WXV8un2gTDrYHcMav38OjS/QS1rbuMP5v8TbUNXejIxBh995JYxQSYn+bXz9qMRxVp5Mox9OYpfMCaNVyszFsRrVcMBJj69ToSi8ArjXOQjsGkN7YlvfWkGU9KZEOb248jLc35b4Klg60BpQzJUQ2jCmV+4Hay8oKnSh06adjtKoJEiUbpp4QavJ9zUmjccvp4/DzC6ew302oUZQQ2xuUZ5J/3oOReN7GM9O6HIvLWa2cByMxRmqYVSBLPA6mCjmo7p90v3+0u5XtCxNqikx9FPgYxOg/ZAQzFy1wopK1Our/hj57VEUhhqrHlW1PCGoZoslIa/a0Ytpdi/D4sp1Z+Rygj5UQTs2YklDicWpq2gyO52A7N/Iyg/g4omvHyBEJEda3Y9RWFaG2SnmePz+s3LdFJm2aVSYeKETQEUERjMTYdWvsCvXbFgCKefNRkKTrH5f1Zt+Z/C3Q8/HNgBbH9MfCYH/DgCUhorE4bnp2LX67ZEdfHwoLiKerEqtP97exxcCfogJqhIfr/zMGOt3hKJp9YfjDsR65vuYKxhGdgNaSsUWda94ZjGbVTT8fiMbiLOg2Lpz8vPZ9rX6sqWtFdziGvS3+lMzrf9cfwk9f2YRfL9rW6+OLcJ4Q/VkJQQlgbZWXzW/nQfcyJXbE8NNmsJobu/jpvna2addWKYlWJr4QdM6YJ0Qep2OkUkIASqVvtPqdfMEoe/4pAB1kuMYJ0zGSBF47G3042B7AO583ZGSc+PiynTjzNx/gOVVO+JaaQA5Wg8ZkAXezL5TR+mSUw7dabCnip2MQyJBuxU79uDmz1oG/r6rD7uZuvPLpQd3PX1y7H48t3YlHlmzH/lble1QXuzFeTQLrO4O6765I7bX3zxY5A2j3jJl/gNl0DFqnRqlVNq/bSjtGz5QQgHVfAH84im//+1Pc8q91fTo1SZa10ZplzBMie8aUFGgPLVWS0gKdMaVyX1Ainaodo6zQie+dMxHTR5Sx39VWeWGTlESxsSuUoHzqjXQ4E/DnK1u+EN2hKE771VIseHoNAPOJMyUeJ4aX60kI+vfn9Z1Yp5LRE2qKdXEUnWdeoZSulYjObYnHwRJBoxKCFJCjKr0YUqqsidnzhFDbMQqURJOI6He3NiAUjWP5jswMmVOBJ7NTqemyCd4TorzQyZSJgLIPsjHvGTyb1DYHZPZM58WYMqonIcZUe1n8Qq81JSGKE4tL9JxXqORYMBpnY2yBzJPufCAcjbPvkA+1Br/H7OU+b3eTDw8v2oonP9iFZdsaTeOhbHlCkPKtP8Xkb248jNN+tRSf7W/v60PRYcCSEJsOdeLtzfX43dIdfT6znBavqUNLUFPiRjASZ/3qFEh6TRYZIxx2m84MiQe/0BhZ+b5ExOAJAWgLKs+sN2ZRppwP/OA/GzDr/iVYubOZLSjUl8vDF4pi8eYG9v+ppJ7UhrA/CxtFjJ+OUaSvkvcnUEBV4XWx6iMPkpxTdYomRdAG8CEnZ/OFomyCxNdmjwQArKmzroQwGlOSmarRWDYXSDaikwdv6ppMCUHPUaInhPkaSM9gOBq3PCVClmW8tO4AAOBl9d9vq34QV580kh2HUY4tyzIu/cMqnPfb5abVxmgsju+9uB7PrdnHfkaJF5Et3eGYpWqO0RMC0Mz7VqokBL1nhz+iCzgisTj+o36vQ+0BXSB6qF05v5sOdrDndER5ASq9LhQ47ZBlLfkh1HOkS7J2jL+tqsMrnx5I+714EIFtdj6MiXAwEmNBLikhij3pSQg+IUvX2tRpqExa9YXoCEQQjcuIxuW0poC5BK94IhKiJ0qIoFEJoT5XdO9QX3uBS1M9tKrnihJpU2NK9TqZJSRuh51d1x0NvoRrkS91ZFcOSIh9rX40+8KsP96MUCn2OJjioCsYRUcggoNq4inLwLJtjQCUPdpht7HEls5zA0cQpFsH+TGrZPrcbIi5yJujtqoQg1USoiMQ6ZHHiBFE3NM9Si15FD9kU20V6pN2DM0TQpK0+AVQvD9ozHsmyowDPSQhdJ4QuVJCROJo69bGvI+u1EgIQlHKdgxOCaF+N4qlQpGYzriYiPP+hIbOIGu53JsPEoK7b/ZyqvT/e2c7Hl+2Cw+8uRULn/4Yi7i4nZBqOsbL6w7oimKpQNesP8XkizfX40BbAIvz4MuRCQYsCUFBbiwu473tjX16LNRT7rTbMG9CNQDgvW0KW82SD2d6JQSgVYKNgSdfhepPN3bM4AkBmPe3ZbNCmGvsa/HjlU8PIhyL477XtwBQpHGTh5Sw11QVuVhVizfsSxWYU4U4G+xohEvCzBjz/gIiZcoKnajwJpIQhzuCCEZibPEfoQbpNF3lYzUwHczJNssLnTjvmMEAgM0HOywHfqwdw6Hcq3TP5nNEZ6opOXzSyDwhDMaUzb4w4nHZxBPC/Bzw5ISZt4AZtjV0sar62r1tWLu3FdsbfHDYJHxFJX8iMVnnjQAoapZ9rX60+yNY8nniBv/J3ja8tPYA7vnfFk4pphx3TYmHJQ5WzCljJuQnKSForRlbrZCG4Vhcl2wu3drIgoRITNYRpPRs7mnuZn3mIyoKIUkSSyCNONjO/b3JOneoPYC7/rsZd7ywPoHASAVKoKwoIYKROCPoyK3fijEln5Cl8+MwKiGsTsjg700aCdoX4J9zMqbsyRg2ao+h55WSC1rfKVkm1VMwkqiEMLumqSboAGBqnO0NXQnPez4SyHA0rlt3smVOSdcloHoemK3nxR6lxYVaFDYcaNcVaohHnKiuAR4HnXtqx+CNatO1Y6hjVt3OpEoIUuRNGlyiq95noyWDN6YEtO9Ca3K6dTwSiyeMDwUUktio+uPjzHxNx6B7n9pmqrm9vcTjRLGFNjIjeAVAJs8C7wcVi8tZ8bkxG9FJ697QUsUrZlRloU4ZWmzyzFebGFN2G9sxonHdWpCNAle2wbcft/sjvRqZbQXJlBBEWlIsSYUIHjyBxccMe5q7cccL6/Gd5z61dAy03rd2h3sVX362v5156/UW9NzxqqH+gAFLQvCB6tKtfUxCqGyqyy5h/sRBAID3tyskRDoZthG0MKfq+W7uRxIfoycEYF7JGUi+EM9+WMeY262qEeLoykI2xQBQ5LEU7POLVaoA57CarGRjigU/opMqCe3+SL8b76oFVC62cQJalbq+I8heY7dJGKxKmbtDMWw+1AlfKIoSjwNXzhrB/nZ8TTGGlxeivNCJaFxOmL+dDJGoQQnBPCFyT0JYacviK0DG6RiVXuUax+Iy2vxhlgxQIGOsjBJ0aiSLRCCv7InLwE9f2QQAOGVcFaqK3Kw6aHym+YkZi7ckkhBEkgUiMXywnUhajZyh6o4VEsJMCUEJCGFkRSHz/2gPRBCMxNDsC+F5g2P1QW5TJhIiLoMRKSPKled8BPf8K8esXEs+yDJTQtDvZRkZuWUHmBIi8f5MMKaMxFiwSuNciywpIbRznY7ENI4KNUtC2/1hpsgg6EiIPlRC8Al0WUHP2zHo3FMw2+5XiEFSQgxJaMfQRnQOIyWESbXfx5QQ5msEkWp7mrsTErRMEq9nVu7B31fXWX49wXiusqWE4K+LLxg17cUuKVDuZTp/a/YktuF5nDb2rLo5M0cg03YMTQlBexbfqiTLMj6vV1oyqTBBaojekhCBcIzdX2XMmFIzLAeUa52KeL/v9S2Y9/B7bI0l3PHCepz4wLu6pFbXjpEvJQTXjgFAZ05Z7HFw65b1ZJVXQmRGQuhJh2zEAmbTMWjdq61WFBAep521bQHa3s+D9nwzY8oK9XehSExXaNjXD03gDxnaM3PdkqFTQnDng87jd84cDwB4f1tTAiHSncSYkgoSjV2htPeILMu6GKanxcFQNIar/vwhrn7qo6x4fVAc0d8MTAcsCcFvgO9ta8qbMZMZ+P78U8dVwW6TsLPRhwNt/rTVDSOY660h8OyvSoioSW+2mRLCahW2r+EPR1mSQps/oPR+jqzUkpDRlV6MqvQm/H2q6iBVQX2haK8XFU19I6G0QOur5IOlNXtas2aW1VOQVLmsUDP5AoBZ6sjDwx0BtmCXF7o0R/9wlDkLz66txOzaCva3E1XZPVUKrI51TPCEsJEnRP9qx1BICJqOobze5bCxKmCTL8R+X6EGqsnaMfjE0SoRuHiLItcbUaEESUTEnTdNUZ+QmZjx/fj//2B7U6LfA3edSApJ8lKv286UMlYmZBinYwDAkFKPbu2pLnajVD1ne5u7cdKD72Lm/UsYaU1VaT6A5VURm1QDWjoPIzglRFmhEyVqIsuTEI2doYReU74K+8In+y1X2yhYN1srjCREIBxjSQRNfkhnTBmPy3olRBpy1BiwGZPQWFzGlX/6EGc/8r7unPD35u7mvmzHUM6ZTeKmY/Sg+kvXgxLPuKw8s8wTQm3H4Ed00r1PKgkzEsLPxviaxwpD1L9t6AwmekJYTLy6ghHc8/oW3Pna5oynORmTO6vrbjqEdb4E5gk2JWmUuH2kkhA0MQMAxg0qgk1dDwpcekUpvw+mU/DQmlnscaJaJfT4ROpAWwBdwSicdgnj1BZN8oV49N0deOSd7T1uy6BWDIdNYiQnteTxSEUoE/mw3tD7vUJtLeXNnPvCmDLI2jGUa8Rfw5ICp2k7bzrwa3gmRq3G12VjQoZRpRjgWuX4Ngz+v83aMaqKyRSVU0Koz2CFV3keeGNKILtKiK5gJCvJ76F2fZyQS3NKWZbh4549MpCVZZmRAaeOrcKEmiI2cY0Hv47yKjmeWE9nbNsZjOpa/3qqfG7sDKE7HDMd8dwTUDzR33xDBiwJwW+AHYEI1mbgkp9tUHDjsCkJ4QnqyKb3tmmBeKHFdgw2jsnY882xwv1KCRGnxC61EqJxgCghXv30EDqDUYyqLMStZ4xnPzcqIUZzSggeySSqsbisS9J625JBi5zdZoPNJiWw5jsbfbjiT6tx878ym4qQbbB2jAIXO0YAOGVsFQAlOKQFtsLr1EnI6Zk+aUwFpo8oYwnnBLXiTe9nlMqaQZblRE8IUkLkwRPCSjuG5gnBT8fQlmiqcDd2hligQ3LhZAEbr5CwQgQebA9g08FO2CTgrgunsp/bJODsKTUAeHNK/fvxxmyhaBwfbNcbRPJJ7rtbGxCJxZkSotDlYCSVlQkZmgJLOz+SJDGCClDODRE3Sz5v1D2bX5g0iI3d5FskzJ5LMyVEhdfFkkw+4Q5EYgkVRf65P9wRxPsW2wcDKTwhjBMzmnwhpt4ykhDJEtTOYMQwHjWNEiKgfx/jWvfWpsPY1tCFSEzWTYjik9c9fdiOwT//RCB1h2MZFzCoolTs0SZgtPnDLFEloqHAhIQYrt5Lymha7eSHotqElWT+UTUq6drQFUpsx7CYsLV2h9k138aNO7YCIwmRrXYMXr7eGYwk+HTYJE11REoIMlc7aUwlq6RPGKQ9+9TCQIE3v/alO+5OTglBLTA7GnzsepEx9bhBxXCp6/N49bPX7GnFb9/dgTc2HDa+rSXwykEaz8oXQwjJCOUOf4RNMTpgkF1TIYtXI/XJiM4EJQTfjuGwpOAy4qAhsbI62SAXSggjCRHSkRCar5iOhDB55klR1ebXvEZoTyhn0zHiOkIyW54Q/nAU8x9+Dxf8bnlGhtZmMBpV723NHRHtD+tHfh9oVTyf/OEYu9cri1z44nFDAQD/W3/I8Pfm0zF4L6N0RRIjudtjEoL7O+Pe2xNQzKAMOOg7g2gjBiwJYZTU9WVLBlWlaUOilozlO5oymo4BpFJCcMaU/UgJEYslViR5aRkFDz1px5BlOe/jSKkK/LXZI/HlGcNBX8tIOoyp8mK0CQmRTOrZ7AvpNrzeXsOYgfwxTsggRtwojc43+P5WqnTbbRJTNhzuCOqUEF5VitwdijLZ2LhBRfC6HTh5TCVsEjBrtDKFhhyi01VwAX2w4WIkRH6mY4Sjcfb5qZQQVMUPRuLsvuerYOVq9aPNH2YkBSXuyY0peU+I9M/gErWNYuboCpwxaRCTI8+urUClSngMSqaEMKhujAZIPJvf7o9gzZ5W9j0VJQT1wPbMEwLQt2RUF7uZw/yqXQohctFxQ7Hu52fhz9fM5JQQyn3WHYqamuIR+UAJJKAoUChwNFZ6jFVKOk90rP9eY60lI7UnhHL9jeur12Vn+xAF88lk1sZkLO10DPVeoj2Kv56yLOOJ93ex/+c/k0+Y9zR19zqo7SkirG3SplPMZFoBJlLI47CzFqKW7jCrtjNPCKfyGTHVlHNiTTHGqHLsuKyvuvLz6b1J1ghSIDV2BnVFCcA8YWvtDmPVrmZsPNDBrh1fvNmaIQmRl3aMUJTFTOTBUuxxsoScnln6m+HlBTh1nEJoTxtWyt6HtbVG4ghFY7rvnd4TQvmeJQVO1FZ54bRL8IWiLKknP4jJQ7S15rtnT8BvvzIds1WFn3FNsIo2zkPJ+F14JCOUN6pj0QE9uRqKam0eu5t8up8T8jUdw+gJwbdjlHic7NlM91xure/Emb95H8+t2ZfQ4uqzmGQZVWnZmJARNigrg5EYDqlrA6+mG82REGbq4dICJ0rUn9O9R/sT7cut/jD4r7C/1Z+V9fXzw11o6Q5jV1N3r/3c6Fmg65zLdgBaB22Sss6HY3Ec7giw4lyB0w6v24GLVBJi5c5mvdKEN6bUkedaHJ1OAWb8fU9JiCYuXsuGjwZPOBoJyr7EwCUh1At9oprMfLCjOdXLc4qIoSp3vDpaa0eDr8ftGKmMKfuTAaFZbzYvLZuhbso9Wchuf/4zzLj/nYzM3HoLCiQnDi5GTYkHXztxJGpK3DhpTCVqij2sKlFbrW/HOE695smknsbv0Fs1S8RA/lQbzCnpfmn3h7NittRT8O0Y5CUworyAqUqafCEWUFV4XToJOZ0zCjx//7Xjsfj2uZg0WOnDrWLy/fTnkq9wOJkxJXlC5Pb88KxzKjKSr4YQm84rIej3fq5vuDKNEqIrQyUEub7PHl0Bm01im/WlJwxnrxmchIQgT4g545Wk4N2tjbrzThUESpIXba5nksdCl9Z/zW/iB9sDONQeSJCvs9HAdj0JMWmwXglBwTwlXNOGlqDC64LNphlN0oZstq7abRKTWlNbBqBUoqhibex5Naq+6DxRO8vHFsfK+i14QpDqgdYt+n9Aq6gnI3KNyVg6rxpaU+jZbfcrct21e1vx4toDrH0F0N93fHLTHY71WWse3YtOhw1Ou409i0avi3Sg6+F22tn9tavRh0hMhk3SFAtGwvGWM8bpDKp1poCMdLSxdckIRkJ0hUx6mfXXOBKL4/InVuFrf/4IF/1+BU775VJ0BiM64mlrfScygZHMyp4xpbb+dgWj7LvQNCo+QaO9gDC8vBA/vWAy7r94Gq5SJ/cAmnogGIklJAFdwWhK4pkZU3occNptGKeqHGgN2XJYSfSncEbVXrcDX5o+DCep6qomX89ICJr0VsY9x/weQEj2DG042M7++6CuJYo3h9USqpDBjyMf4KdjAMAgQzuGVWPKdz9vxM5GH376quJZVOzWjEutFq+MrZhZISFMpmOQuq+SmwQyJo0SAtCIbyLKKZYgwp4+i8LvrlAUhzqCeO2zg71qpdjRoBGU2xsyIyuNIKXgSWOUZyOX7Riar44Dw9X9el+Ln+3t1OIyqtKLKUNKEJf1+zF/34SiWlsP/8ykU0IY99HsKCF6v9byxQwzIigSi2e8F2YDA5aEIGd2knX3ZZ8La8dQA2Iyn9nX6mcX1bISIpkxJfdw9KfZs4yEsCcmSwAwW61aJxtdlwqf7G1DMBLHlkOZBUu9AT34FPDdf/Ex+OgnZ6K62A2bTcLdF03FTfPGYmJNMUZXelHhdaGqyI25auKVrMpy2FAZ6a05pUb+KOedEny6NyjoiMvZYVF7AlmWtaCq0MVGKJ4wshyVXhecdgmyDGw+1MFeQ4lTfWeQfQeqLJYVulhACGgbupXe5EhUCzYSPCHiuVVCUDLpstvYZ5vBYbexJIWq0m5Oiku94t0hzbiSEndL0zEsqJEoYaZ+9x+dNwmv3XwqLp/BkRClynmvTyAhlHvv/GOGoNLrQkcgojOQa1W/01lqW8eaPa2sAlzkdjClDAUMz6zcg1N/uRSn/HIpjrtnMRu9CfBeNHoSYoKuHcOlqygCwJShWuJA0m4ypqRnZ1hZAQv8h5R62NrGKyEqvS52PYzJmDFBIAKWKrW+YNRStcrKdAxqK2hQP7OUG4PLgvlkSgh1Xahiz1EoYewqD9rLSBHWHgjj+y9twGV/XI0fvLRB91ofd98Zk4ldXCU2n6CAnRRQJapiL1OpK517j9PGlBCfHWgHoEjL6X5xOWxsjRlT7cX5xwyB02R8JKCtEalGeVcVuWCTFAKOzHjpmTEqeJ5bsw+7mrrhcSrH0BmMYlejL6tKiKx5QsS0Y2/nVF7jGAmhPcPDDBNqhpUVoKrIjatPGqVTjfFtrbSmEZkIaPe+GXhjSkAjNreqbRiaEqIk4W/ZKOUeVo950p5groTQr720nmzYr1dC0PPMJzG8EsKMCMs1ginaMYo9Dt2o6lSghJwI6WHlBRm3chj3/ly0YwSjMbaf8+bcoy2QEER8H2gLIByNM8KOPCEIpQXaJJevP/URvvPcZ/jRf/RrcibY3uDj/rt3JAS1aWabhDjQ5sdVT32If3Mjv33s2XVilEqW17X4WbzNtwSTapJXORjXuO6wYvzJFyha0xSBjUWxnqqe+TUkO0oI7Vk3KiG6Q1Fc9sdVmP2LJbr20nxgwJIQpIQgSVwyQ6N8IMrJPAGgptiDAqcd0bjMNrRMR3Qapxx0GgzEUgWLvcH+Vj9e+fSAZUlXzEQJwVcuyICwJ5syJbBWR8H1FuFonAVWvESQx1dmj8SPzpsESZJQ4LLjtZtPxas3n8JIi2TtGMa+uN6qWYxeHMZ2DD4pzVawmCn84Rjr9y0rcOLEMZVYfPtc/OKSY2CzSeycvb5e6Z+dNqyEBRFUkS8rdCYNzCtM5mgnA993TPcqEQK5Nqb0Gyo/qWCU0POBtdaqEmOBDl335O0YmSkhGgwknMdpx3EjypgcGuDbMQzJNidHP3OyQjTwLRl0H84YqRCT9Z1BTglhZ8ktBQW8ui0ci+MfH+5l/2+27gBgKhlAbcfgknJAnziQ18MBNVin8zOk1MMSjxEc8cDLY8u9roQpBnQoCW0qasJAla9oXE5rgBbjxrCGo/GE9Z7a9YiEIIKJr6CygDwJQUXrKt8ikCo561CT9ZEVyutbfGG8t01pg6wqcmFiTTFOn6iMqObvO+Pklr5qEdNG9CrPPU1c6KkSwuO049jhCrH0sjrujUwpCXR9bjl9HCPMKKnk1T0+ri0pGRx2G0s0qMpNqiT+fPtCUfz23R0AgJ+cPxlTVeKt2RfWkeTbG7oyUsnRfeQyacfpDXiCmH926FnmE7dEJYT52FztHMfZOjW0rIA9v6lUHLSWEknFSIiGLnQFI2wUrikJoV6fniYeWjsGP0lKuyfoHuLjqdc+O4ipdy3CGxsO69oxwtE4mtWEiH8G2/wRFj/rpmOkUB74w1H87NWNWL2rpUffi0eCJwSvhPA4UURTotIQCUbfh+HlhZqnlEVVh/H+z4YxJVtn7PScaD4nFZw59/DyArZ/mRlTKq8hJURAl99UePXxaUmBEyNVwoKq9q9+dghLtyZOqbKCHY0a8bCjoeekcXcoyhLoE8doZuS9VZxEY3Hc9txnWLmzBT9/dRMrZPFKCFIq723p1pQQnBJlNPd7QG3/NpC53aFowvS1tO0YajxKIVPPlRDZbcdIpoSIx2V878X12HCgA8FIPCvPeCYYuCSEuliPqChkPZR9NQnAqISw2SQdywmkrnDwcBvmWxP4QClqcDXPFmRZxo3PrsXtz6/Hsm3WPDaMbQGARkIUuuyYStW/UDQjpj0Si7NNKF+VfFqoHDaJVbjSYURFoTouUnm91XaM3qpZosZ2jCJqx1A+n09KsxUsZgpKaFyc9HlCTTFLxqkyFY7FUel14dLjh7OKAAUD/BgrI6qKEuX7ycAHBpRQ0/NqnOudbWQyptfYG8pLcSnA8oe16RmVXCXULKHo1CkhEic3GEHJLO9YbkS6dozBJR6cPVUlIbY0sM8kGSOpEdr9EVYh8rodrPK5XTWBI+O8uy6aAkDx/aFKRdRkOgYAlBY6cf1ptbjk+GEYVlagqyhWF7t1QcjgUg9skhas0zNZXexmx8i3YCj/rwSFFZxqh0BBT0NnCI1dQVZRIHJmTLVmSmasuBhJBqP6wWhUbGzHIAJF147hSqOEUBOxaq5tJdXEBCLCiSza0ehDVzCKQpcdH/74C1h0+1w2RpL/TPpvulZ9NaZTU0KoJARTQmRIQnDjc68+aRTsNont10MMSfLPLpiMW04fx4zQAP3UDAIlGKmMawGNHCTQGsrfT08t341mXxijKwvx1dkjmWKsxRfS7QXBSJwF4FZA13G4+h2z1Y4R4tZfWkOcdgkXHDsE35w7BrefNYH9vsLr0hk1Di1LTUIEI5oSYnCJhxn6tfvD+O4L6zHnoaU499EP8JvF29jfJighVLJh6+FOtibVlLgZCc7DWAzIFKbtGNz3paIbn6D8bVUd/OEYfvLKRhZn0PNMFU8jSb1bNYjlvcdSeUL8b/0h/OPDfXh0yfbMv5QBzBNCfQ6qvG6cWFuBE2srUFbo5FoyU99ffo7ABoApQ4q16VoWY01jK2Y2YgF6DzqWw+o1cdolpk5T/t+GK2eNwHEjytjeZwSRbPtb/SxBdjlsCWRlscehM06eoBqq/uTlTT2S2PPqB56QsIJmnxZnUPGt2O3AmCovCpx2xOXEeDhT/OG9XWzKSzQu47svrEc4GmfPrtdtZ55te1v8aO5S1r3qYl6JoiolVJIhFI0nFDf84Sh7VghpjSnV39eq8UBP2w917RhZaJPgn3V+isqfl+/GW5u0YtGmQx3IJwYkCRGPy6ziXOF1sY3ZKA/OBXyhKHY0dKGhM8gCR206hnY6qbpEsNqOQRusUQlhZKlzYU658WAHc37+dF+7pb/RDBK1704s/uhKL4rcDkYSZTIhgw8MsxXspEMjl4TYDMlNOlAvYlIlRDslIsp90VslhPG8V/VDJQQRMqWFTl0lnTCYIxiuPWU0Clz2hCA8WZAJgDMytO4J4eKSenpec21MScFdMsklj2LDa3TtGNTjH46yhIrvMTVLNvn7IBCJpSQCeTWAMdnhQSREa3eYrVPBSIyRhYNLPDh1XBUKXXYc7ghi48EOyLLMEqDRlV62JtAGX+iyY2x1EWySQjrWtfhZoHLx9GGorfIiFI3jXdWAOGZoR+Lx8wun4JErp0OSJGZMCSRWLp12G/suB9oCOhLiylkjMX1EGb48Y4Tub44dXgYAGF9TlEBCUA/73pZuXPTYCpz32+U43BFgweOQUg/bB/gq3s5GH6bfuxiPqdVrIHGEo5GUpvNOpAOdD550oSA4FI2byozbONPYSguqIgqEyBOCPvO44WWsBYGk850mnhB0fvpOCaFXLJJKwRjgdQUjaOwMokP1vDASd0HOWG9oWQEuOGYI+52xUn/pCcPxvXMm6toVC7gEmaAZtKYjIfTk4GADCSHLMp5TjU/vOHsinHYbI2ubfaGE/SmTlgxGQqjXPxfGlKRaKHDa4XHa8ePzJ2PGqHL2e0mS2J5QXew2bVUAAA95a0VjLC4cVKIpozYf6sR/1h3A/tYAttZ34XdLd6KpK4RILM7IoWKDEmJPczdWqC1hU0xUEICmoGzq0hO+H+5uwV9X7ElLAvNGzgReDXf8COVckBKi2RfCp+qkEFp/x1R72bNGrWbGlqNdjcozyMeZvlDyNrH1BzrY5/UWgbByvek5sNkkPHfjSXjuxpMgSRJTq6QrWtG6esdZE/Dk12fgm/PGsufHasHLSNxHsugJQesL7WOVXndCHPSLS47BazefajqGFeDUem0BbZy1y64WU7TXFbudrBVxdm0FXvnWqRhdWYj6ziB++dbWjI6/wx/RqRz5yTDp8Mf3dmHm/UuYapFMKYeUeSBJEts7MiE/jdjT3M2UXj+7YDLKC53YWt+Fp1bsZutgkcfJigJ1Ld2sRYJvx6DpJHvUY+FJYSITfSFtsgmR6OniaSIhJqmEYW9GdBJ6W4iNxWUdwcZPUXlpraLiI7P4TQcFCZEWXcGoLuhKNrceUDblPc3dWWlfCEVj+ML/vYezHvkAJz7wLhY8vQaA+ZhK3nRGkszNhcyQVAlhuAlzMabzxU8OsP+26sNg1pt9ythKfGNOLX52wWQA4K6P9WPmZcH5quQ3smAleQKWDGVMCRGBLxTFpX9Yid9xSQUxwseqyhArm/muJh+eW7PPtMKdYExpkIHygTUtmtkwXcoEtHCWJJEaUhXP67LjmpNHA0hM1JPJbQFtMoSVaQrMlI57Rl0O8oTIbTsGXZPKovTqGqMskw9Oirh2DAoei9wORqyYVXSN5OWORh8WPr2G9VG2+EK47blP8XFdK1q6FRNTm6SXQBtRVuhkn0kbJanQCpx2lBQ44HHaMV+V5i/aXI/OgLZml3udqFGvPQXDXpfyNxQ4vLlRadGpLnaj3Otiid7r6kitZJ4QRpRzwTzvZk/g5a6MhChyY/qIMrx686lsYybcddEUvPntOZg3oTqBMKMgcNm2RjR0KuaBNG2k2O2AV/0H0I9cXrS5Hp3BKD7Y0cR+ZiQhjMoIUkKUcP3ygEL4EfiE1qwy2ME58bNqeRKT13hcZoH9SMNUoBNGlbH/NuvJpv8+TiVwdveRJ4S2Bij3LhE4fIL2+eFOnHDfO5j9wLs47t7FmPTztzHx52/j1U8PstfQuadE9/rTatnveN+BZGCtAjoSwppayrg30efROd7d3I36ziBcDhsbqVvFqeRIhk/PDfkcWAHdQ+TwH4rGE+7TnoAnyNiUlxRkDBE9RsKHB1NChGNsjaop8TCFwYe7FclxbZWXVaFX727RyfiJxBtUrIz6jcvA48t2AgDOmjLY9HPpXIeicV07wXdfWI97X9/CRosmQ3vArB1Dix2PV8e/E1m8dGsjZFm/zh03vIydG0qAjUTbLpX85ePMuKxPxHhsUD1PslEQMnpCAAq5RAl6kcXpGJSUlxQ4cfbUwbr1taeeENlUQhAJwVoxUuypyTCceUL4uUl7DkiSpMspij0OLDhlNH556TH489dnwut24JeXHQsA+NdH+zKS2G9XlQ/VxW7YbRK6QlFLBd71+9vxa1VRRCbFFPfSuFHa93vjibZmTwticRkzR5Xj+tNqcduZilJq+fZmdt2L3Q6m2NvX6md7exUXg1Gs0dQVgi+kGeIWOO3s2feHooyEoPjBTAmxo6ELX33yQ7y18TArilE7mZGQ5LHpYAeeXV1nmp/yheaejOgMR+NYurUB3aFogkkpKSFkWWaKzetOVfaxzYc6c9bub4YBSUKQKWWR2wG3w86qAca59QDw3/WHcPqv32ObR29Q1+zXJdL0YFOFhVcD8DOAveqiYQXplBBUxcm2EiIYieG1z7RA63OLwUmUqUC07+d22PHTC6bgFHV0FvX8WRkRSODbGlL1KWcT1A+fzA8iFWh8Yrs/jFU7m7FuX7uuh/2gyghTJdXKIvyzVzbhRy9vZNUXHpl6Qmyt78Sx9yzCw4syY8V7AwqsiwyJEuEktUfwpnljWfJklBkae6x5VKmsdhdn1JgM4WjiM0pV9FxPx2CmVEXp7ysjCcMHGrwxJQU6bqeNyQ6NAa4sy6wKTcqDJ97bhWXbmvCrt7ciGovjLyv24NXPDuF37+5gCUBlkTupQz+gBIxUkaW/IfOpwaUettadrQbqizc3sOS2WF2zKXmiRKxQve5UwXtjg0JCkKz0gmMVEuK97U3oCkYQYxOJUq+rfFJuVr0czplT0vpUneL59zjtmDK0BJIkJdyr49Vj5ffvdz5XlBu0BtL15ZUQG9UqI/8zI+nAJ3uyrPlF8O0Xxv932m3s/jEL6GldLS90seAsGaHXFYqy+evDygp05A9fqdbG62lrNn02JVB7W/2o6wM1RNhARBI5yleZVu1qSZRoR+NsdDOgzVunRPe4EWU4dZxiunYMNyYyGQpM2jHIGyWdWmqwgYQgNRkF32TeOmNkOTu+So6gJkKfvCysKCGIPKTPqCnxsHPYmoUCgV4JoTyDqcgYSrBTEdR0joPROHvPmhI3S9bJMHfasFLMm6CQpat3Nes8vGivkCSJmdhFYjLGVHtx+UzNqNf4uaRmo7242RdiZAB5HSVDm4kSwsMR0dPVKVwdAUWlQyTnglNGM6L2lLGVjFw9mKwdoylRCQGYJ+/BSAxbVTPONn/v/MhkWdY8IZJcY35CViqQEoIng4u4PdIKcjkdw1h8sVKEMILu9TZ/hBEB9GzwKqBij9LG8pXZI9med9KYSlx1ojIx5kcvb7BMGFIrxpQhJSy22N7gw8d1rUnHawbCMdz+wmcJawUpISiO04hfazH9riZfwmduq1eeoWOHK15VRCI2dgX10zHKC2GTlHWW1jk+Bist0MbG1zV3szXY67ZrsVY4xvYq8rIyKiG6ghF889m1WL27Bb9ftpPtobRmBCIx09Hfdc3d+OqTH+Lnr23G/zYc0v0uFpd1Ct9MlRDxuIxb/70O1z3zCZ78YHdCPNEVjKLDH0EXN5b81HGV8Dht8IdjTB2SDwxMEkK9CSjxS6WEICfjbb10eAU0GSn1CUfjsjID3OAJAej7f60Y0hGo8hmKxrFqVzOeWalI+IjJpj6mpq4Q6pq7M/bBaPGF8OQHu1glvqkrhKdX7sEv3vgcncEoS8APdQRZ1SQVtOkYyZOBVNcnGXjGvSNP7RhNpIToCQmhVi6icZnJmZp8IYSjypxyOt8U/KWTaMmyjC0qEWTmVhs1jIUlmZlPTch1nhDdYXy4qwXBSByLN/fMqKgn8IWoDcH8/j9jUg3W33U2bv3CePYzYwUsVTtGSYGDJaHpJHJhQxUU0O7ZXLdjUAJebYGEKDYQNklHdEY0j4vTJw4CoFTFeIQ4N+2x6kZN7Qzt/gg+3d+Od9UkeXdTN0vCU/lBEIweJA0mXhIU3O9o9DEzNzLmGlyiv64USFIiT/f+eHUayqTBxRhT7UU4GsfyHc2WlRCp2jEAzW3/QJufEbuDLHx/IPFeHc9NbiGs3qUkhbQGauaiWpBMVUb9tAR9EM1XMnjztNIC/THw3xfQSAGz5IISntICJ1s/krU2UdDocdrgcdp1PeskEQdgOl6P/ru2yov5E6shy8BfV+4x/ZxcwqiEMGvH2KNWiL81fyx2/OI8/OaK4wCA9RQD/IhO7dl84uoZePXmUzFztF45YwZKIoKmSgjr7Rgep41dh24DCUGkCKBV/5q7QmjrVr7ryapTfToSYuOBDhx3z2L8+YPd8HGTbKhSb4wRnlm5B2f+5v2MHNZ5JQTti6mUEHSOZ3LklxEebtS5tjZ52HEzyfTgYnauVu1qYUoEozcPb3j7o3MnpZxyZCwI8KrSdJMBNE+IRGNKj9OG2iovU6EdaPNjuWree+bkGjxy5XS88M2TcdkJw7XJP6SEUCup1A5KaqSEKWwmif/W+i623sbl3vWnR2IyS1STtdIwNVU4mpLwoHu+kIsvNCWWtYTbqILM5nQMo0qtJ0qIYo+TEVKvrFOKhOQ3x5NTJQXmz8uPzpuEoaUe7G3x4xVOzZUKZEQ5oaaIqfseX7YTlz+xGgv+usa0qv/ypwd0Xj+031B+QkoIImas3EO+UBQX/34lLvnDSt1aSR4VEwcrsUINK3KGOINfRSFK8SPlblWGGIz3jeBb4vh9mow+ad2hWPPjula8vuEQ7nhhPXvNlsOdbFLjiHLNr9AY7wfCMdz0j7VMLfXCJ/t1v2/xhXTFjEyfuT++vwuL1Fj/YHuAnT+3QzM33t/mZ23ipQVOFHucrFCTz5aMAUlC0MZXUUgBrToyziQhbzVxB+4p6EaeWKNtSGGu31anhKjklRAZkBDcfOsf/mcD7v7fFmw+1KltIlXKg7fhQAfO++1yXPz4yrRVYB5/X70XD7y5FU+8twsA8Ku3t+Ke/23Bs2rV/iuzR7K+LStqiBhLBpLfSmy+uaoiicdlbDnUiY0HOrCtvgt1zd041B5Aiy/EvgtPQlBg0BscaPPj4sdX4u1Nh5O+ppEpITJvx/A47SxhXKf6aciyws42qAodt8OG8eqi7jORSPFo7Q4z9tMswTYa85UUONh/t/sjeiWEP8yCkbqW7pwn3QQ+aE0GYyXXzY21A1JLbiVJYht7upYMM08INh0jx9Izs/FcyZCghOACNUpefJwSwuO04YxJCgnx3rZGXesOJY42SXOC5n//zKo6Rs4e6giwALnGwv1P550qq7wpJaHc62IBOVUeiawzytZ541IeVE2QJAkT1d+1+EKaJ0QK8hNQAhSbpJzXMQazYECrpu5u6ubaMaw9/3yi5LBJjCAGNKKaSCBaA43j55q6Qjik7ls8MZFgTJmMhDCMIDWOJPW6tcqgLMu6AJLaMcoLXaxK15yEzNNaq5y6zxlT7WVmf4BGoplNxyjyOHDj3DEAlKDLCsmdTSRMxzAxpiSTstoqL5x2LYjl2+eYJ4RDX4mkKnU6FJhMx2C9zCmmYwD6dowit1MnP4/FZabOPFVVIQIaYdjSrU3HOHmsknjva/WnlK5/uLsFvlAU72xp4I7RwRQFRnn+S+sOYGejj7U7WAFffablKZUS4sszhmPNT76ABaeMTvoat86YUmvHMBpOT6gpxuzaSthtEva2+PGbdxTjRVp3CDPVUeMn1lawEcPJYPRn2syREHVpKoxaOwbvCaHcr0PLCnQqtNc+O4RAJIYhpR5MHVoCl8OG2bUVsNkktm9SQkRJDN2j+1r9iMbiCTGImTklkaQEPh4JRmJ4a+NhvLzuAJZsaUirJODXtWQT44rdyneXZcDPvV6WZazY0cyeRb+JEoJf76zA2I6RzekYRmKgJyQEoPlCLFLVWOdMVRSGPAlqLF7wP/+yOl77k7pW09cYQUqI8TXFLF6l/Xt3czfzB+GxT40d6L6j89/B1HbK8ZWYtMAlw6H2ALpCUTRzU5gAMHNYOrbqYm1CED1zREaNrtTv+bwxJaAROnUt3ToimO6pfa1+dAWjkCRNydfmD+PTfW24/InVuOVfn+KdLQ1w2JRYVJY1hU5VkYut1zwJIcsyfvrKRmyt70KF1wVJAlbubNEpPoxmlmbKkXZ/GOf/djl+v3SH7uef7mtjbTGAUtDgfYx4s1OtXUY5ThojvtliO342MDBJCAqe1Iea2jEaTOT+rSrzn6kDthlIljOJ26D42b08CVHKmX0VpKlu8PA4tM2TWKrtDV0s6SAm+42NhxGIKKZLywwV0FQgomaDynSRhPuUsZW4fMZwXH9qLWPDtlggISIWZNGkLCAS56kVu3H+75bjot+vwDmPfoD5v34Pp/xyKWbcvwQn3PsOthzq1LVgZKMP8c2Nh/HZ/nbc9/rnSceSaaZ8mSshAC3B4mXxhzuCjACgEWEUBNPCFFfVE/xx7ebkymbButGYUpK0iR6t3eGEdgySxUViMvYmkdQZ37u3sGq2xkORuWuvT0VCAOB62dOQEMwZX7tP6Z7NRvUjFZqZJ4QVJUSK6RhMCRHllBB2zBhVjhKPA23+iO7eY8mf26G7p6kzjFoeACXgo0DDiicKBVQUkNK6UmMgF8apijB670rDmm38bkY1AbVjAPpe+mTTMYyoLHLjT1+fiacXzjJtMZldqyRjH+1p0RlTWgGfMJYWOFHocrC/veeLU3WvTWzHUK4NH+Dz8vxUxpRE1NqkxGkKZQZSjz6vzR/BF3+/ErU/fhNjf/ImbnvuU70xZZFeCbGnuRtX/mk1LnxsOa54YjXzq6AgkirKJ4zUV6PNPSE0AuPkMZWYNqwEwYh+5Go+QKMgNWNKqsppx0p7FO2zVSYjF2k6RrJKbjqYekKQ0386Y0qOICzxOHSk1uZDHegMRlHsdujaQigpbubaMcZWF7F9eXsKlSiNeNzX6meKliIPp4QwtGNQS2wm8mGzxC/dlJBBJZ6ULa50jlt8YV0bCalnCRNrilHkduA4VaH43jblPv82p84DgPOnDcFfr52JpxbMTNtam6CEOGyNhFDMexPbMai3na4pFUmeXlkHQFFBGI9pGNdmprTlKedgQk0xPE4bIjEZB9sDCefejJDaYEg6eXPTZ1fvxf/75zrc8cJ63PD3T/C3VXVJvx+gEXh2m6Tbi3l4nFohgldUPbOqDlf/5SPc9dpmAJwSgiOsaE227AlhiF+z246hv9eMVXiroKRRlpXzduZkpeigU0Ik8d0CgBNUxdC6fW2WPm87U0IU6/ZfAvky8aDYmdrQ6fyT9xGRJIz4tVDZ54nf19VYpa07zD6LWjdLPA4WJ5HChxR5Rv+iSsNoUyoW72nu5iYU2Vk8QiNvh5UVsAKLLAPvqG1QVUVuzB5dgYcvPxbnTtP7xJR7XYwA5lvR//HRPrz86UHYbRL+cNUJOE0ljMkgkn89xTdm6+nHdW3YcrgTz6yq0xUXVuxohixrZLsvFOPGStvYelLX4mdttES2TxuqrDEbTYimXGFAkxCkhGByfxMlBL02GyNOqE9mfE0RmwkfimoBsTERp0DG6mQMQGM3GzpDrEJLioRkFc2X1lqTWQHa+dh6uBOBcIw9tI9eOR0PX34cSgudTLZshYSI0XdPUZGkqsz725twqD2Av6xQpLhVRW5Uel0ocjvYhtQdjmH17hZWpQOyQ0KQCuNge4BJVo1o4Fy0ewIKHPgN8FB7gJEQQ9R+eU3KrhzTg299jgsfW8FmzQN68zaziRtE/vBJWIUaYLV1h3WkW1t3GAc4eWyqvtQ/vb8LE3/2Fj7KoJKVDBRAGCc+pAMF1i67Le3GXcmUEKnbW8zaMei/c0FCbDzQwa5hM/OEyEwJYZP0a4pW5YnpPCEcdhvmqq0P/FxwqmoVe5w6dc+VM0eYJu9UvbRCwpUbSIgGEyUEoLVXrFeTbSIvkikhxlR7wR/aOI6UoMTCH46xiqnZdAwjzppSg1lJZPK1VV7MGFWOuKxVYa327vLSeVL0/PGqE/CHq07AGZNqdL5Ag1k7hj5J56tK3WHNnT7BE4JXQlA7gMOekAiXFJgrIT7d18YCqlhcxqufHWJV0rJCF0tIKSh5ed0BfLSnFZsOdmJNXSsefUeptlCwS4HxSWM02T+gkWi030ZicRYAFbkVb6RvzFHUEP/8aJ9l1/VsIGRsxzAoIYKRGFuraZ+ltborqPnOhEzaMTIBVYDb/RF85cnVuO/1LTqVQSrwz2axx8FIn+5QDCt3Ks/viWMqdYRbJRtLGWH7Rnmhi1X7qd/fDNSGUt8ZZG1lXp0SQtunI7E4e00mJITZ+puOjEkHOsdEuBe5FcKGV94VurSqIK8cOWPSoIT1wmaTcMakmqQVZx5sQoaPlBDaM7632Z/0ng9G4iyB5Y0pZ46uwNu3zcGDlx6je39fKAqP08bURTxYRTqsTC2ie7yswMmKFR2BSCIJYaIYNioh+KIIreu0LqRTwBC5WuC0JyVzJEnizCmV467vCOLXi5Tq7t5W/TQDvmjR0+kY1DKdDX8oozEloadKCN775OQxleze8OiUEMmfF2qXq2vxp42TfKEoi0vHVntZQdJlt+G76qjcNzceTmiToaTZSEL4gvp1jRG/FtYHXt367ueN8IejjDAdVlbAnkVFHaTsr0Qi030wmiMhHDYpQXk7ipQQzd1Mucu3Y2xW98zaKi8cdhuL8cmn7esnjcILN52MS44frtsLSwuccNptCYTk+v3tuPd/Con2w3Mn4qQxlbh8pjKB66W1B9h5pXyFCAOz80XPYbMvrFNOUEGOFO3+UFTzYXHa2RjtXU0+Nj52sEEJselQR6/25g+2N+EHL6239NoBSUKQuoEeRjqBjV2hhIeDLlRP3EWNoBt8dKXWlxdKooQAtAcyExKCehnJUAjQfC2K3A5Uc0EIHcN72xotjSkENDOyzmAU729vRFxWghS++jdlqEpCWJDkME+IFBXJyUNKMGNUOaJxGd/65zo0dIZQVeTCyh+djrU/Pwub7jkHO35xPnMZb+gM6pQQvlC014ki/5A+//H+lK/pSTsGgASpJ6BsnqSgIekXL9ds9oXw99VKRZCXQO3i+uvMpoNEY4mVffr8Jl8IPq6nvNUf1vXo7kriTt/uD+O37+5AVE1SegtfD5QQgLZhDSnzpB2VSgljOk8IqnbqJPTMEyK7iVBHIILL/rgKX3nyQ8iyzALzKgvJLR/kuh36QI3aujqDERY8UVWXWjKWbtUmLFD1q6TAqSPWLj1hOGaN1irYJzCZofLMpRrPSagw9IRTO4aRXCDTKFojmSeE4XV0zfkJGYNLPLqggRILXmqbTglhBSRXBZRAMVW/t9kxA1rAOXN0Bc5XDeL4anRNEhKCD/BlWasKJyohEtsx3Ko/Aw9jOwYRgJvUteXY4aXMwI62yrJCJ0u69zR3Q5ZlpsS67IThcNqlhMD6J+dPxm+uOA4XTx9q+nm+kNLPzSc1lFicM3UwXHYb6juDulFhuQZTQ1E7hsETgtqRSjwOljCUFGgEOQXFvVVCUDzw4e4WfLi7FX9fXceS9nSxgnJ/alMEWO9yOGrqBwEo+wL/nHicNhS47KzYsLU++T7PT0upa9ESek0Jpe3TjV0hZl6aCQlhVn3OpIXVDJSgkRcNrX/8Hj2+ppjtL9SeIknA98+Z2KvP5hMPfziqG0nbFYom3auoFcNhkxK+/6TBJYz05D2rbjl9HEZU6Ku9gHJvEoF/oC3A7vFij76Fh0xWaR8xekJ0h6KsaEEJKW9GSj4AXz95FACFVE2VvAQi1p4dWlupZ/7e1zczmXtnQCFru7nKtfHvrLdjKMdKz104g9bmZEhmTNnjdgzu+p7DVdv5Vk2j6oJHaaGT7cPUKpwMlEcoEyKcGFNdhN9/7Xg8e/1sfGPuGHhddhzqCLKxsIQmgxKCzj/dT0SSZKKE4J+TQCSGZVubsF29F43tUvRMUAxDe80orh2jssiVEE/WcmM8/ZwxJSmxqFWSvhddQyL0+YlbJ3GTtIj4HWSwCvjDezsRick4d+pgRsafPaUGJR4HDrYH2HmlXISUpN3hWEIOxD+HvIcDkUhEQnSHY7p2DB0JQUoINR4bX1MEl8OGrmA0rYluKnx+uBNvbqxP/0IMUBKCeUKold/qIqXvNxqXmXyQ0JolJYQvpPUbja7y6gwkzcb/AZo5ZbrqBg9aWKhKBWhKiJICp87c7kvHDcVxw0sRjct4/pP9aPeHLcyh1m7c/6hGN5OHlOiSHSIhdjb60OILpfQQiLKKfOpb6eqTFJdekot/ZdbIhNnIVC2s7wgmVP97OyeXl0Mt3lKfEAjwbrQ9MaYEkCD1BJTKIpP4VlF1jea2h/G3VXUsqeD7xnglhLknBPXEa+edFsgDbQHwt0FjZ0j33skWl2dW1bHqwscW+wdToackBAXWQ0tTt2IA2ndON22k0cR0NFdKiNbuMMKxOBq7QmjpDrPkxYockx/Raay0svGOXKBIr5k/cRAkSVkr6D7mAwCqjJUVOnHCyDKcOVnpax5b7WUEBiETJQSx7qRCMxIY4ziDXkDbnIcYri1f+SSZ5QRDoEGJhS/LJMQFxw5hcs5Mnn3+vjZWWADNhBbQzikfJMuynCB1puAtpRIiqplMeQz3SJmBCKX7iSo646qLcP2cWv3fFDgxqrIQkqTcM63dYUacnjttMC48ViMa6HvWlHhw6QnDE1pciESjfm66Bz1OG3vePE47pg1T9phP9vZ+nbEK4z6tKSGUYyRTytrqIrYfSpLEJLwU3DFjSotjt43wqAkPkc6RmMwKDenWSkmSGEle7Hay+0mWtSr0aVxVH1Cq+HwCRAQitZWmMqfkq5FEfOpJCG1f4T25Min6mCohMmhhNQMluZQQUhsLT0JM5KTmJ9VW4rpTa3H3RVNNDWwzARuX3RXC54e7IMvKukJrcLKWDDrX5V5XypYPkk6PrizEN0xUEATenFIjpB3cGhRjsQcR5F2G5H3L4U7EZYVcpsSPYsh4XMZu9Zm54JihsNskNPtCLLExgzYZI/Wzw0/I2HyoQ5fQdAYjCEbiLMbhnxmj5046kIqZ7rdcjOgkWPGEMgMpISQJOIfzI9GP6Eyt0KFCQ7qWDIqj+PXiwmOH4sQxlfA47cwP5XXDNAdKmkn9rbVjaC1cQHJPiPe2NeLZD/fq8heKY2iLf33DIWxX1yqjd5RRvUxk+ChOCWFsxQA0o/9mX5itX16XI2H9IRKCriEdJuVKyjF4WIxPxbFRKhFAOQCZfl5z8ij2jHucdmZ6SWQC5StkKA4kEoR8cZIvYNI6wkiIUJRrx7Bj7CDlGHc1aiQExWNOuw2nqoTsS5wyO1NkMjVpQJIQrQZPCAcn227gxnRGY3Em5Q9HE014MgEFZZVeF0oLnEyFEI7GWSJurKBdPH0Yzplag2tOHm35c2hh4Ue6UKBf7HHqFAtfnjEcl6lVvIfe3obp976D7724IeX788k9eUnwbB6gsGKlBU5E4zJm3L8Ep/1qWdIJFZo3Qepk4LxpQ9jCZpOAr6mjg3hQP3l9Z1BHlgDWWzIC4Ri+/peP8NTy3bqf0yLpdij9kC8bHjByo7VJ1nr3zWBMAAClHYOUB8Y+4231nUwFAej7jtMqIUwUKPQ87DUEOUbJ5S4TEsIXirIeU0AhKtKpC9KBEqpUUkEzUFCRajIGocrQy54MdG7558dpy40xJW8Uu72+ixE7ljwhuIDKmOSY9UlTBavC62JBLlWxiXgt8TgwY1Q5bj9zAh69cjocdhu+OnskrjpxJO67eJpukg9gTQlEm3GbP4xYXGbPl1HhMM7QU0pJQHmhU2cSypuUTVcDpulcEs+/hnc+Tzei0wpKPE5m9mXVDwLQV+CMCgRAr4Sgc6oFyYr0v7U7DIdNYteR7hWjEiJkpoRw2HVErt2kgkrPEu0hoyq9OH5EGSNIit0OOOyKooJIvz3N3Wy/q60qxMJTR7P3S1VxAxSygYihrmAkoSeYQGM9P9lrrU/ZCjoCER15awQzpkzwhFCOkZ6bWkMfcVUxEZ1EQvROCaHdx1pQSRX7dF4IgEZoFXscKHDaWZAejcsYVOxmVU8efAJUxkgIVQlxuDNp8aLZZF31urUqO0/+8tOvMlJCmJIQ2VFCEOic8c8pn8jYbBLuvGhKSrNLq+CVENTSOmVoidaL3WzuyURqxaGlqdffy2eOwMJTR+PJa2YmFHJ4DGfmlAEm5y7xOLk1KMLWFVJnGtsxSB00blARO3ekfjncGUQwEofTLmE8N0nBSKzyCHLtGKnAT/WhYyCz365gVPfs8O+VcTuGGrvTe2SlHUNdn41xT0/jyhNGlmNoqQcXTx+m82vSj+hMvW7QersuzXpLMV8y1ea50xQVHd/SHIrGWHxOxvmRmKyb0kZmo8mmY/zgpQ34+aub8OFujZQmk2QqmCze0oB3P1faTWkyBsEYsxDpMZJTkVSZ7O3FHif7rqRu4NsxCEYlBH0Xo2fZiWpLBr2OYqvdzd0IR+OsPcwYc01TyQxq3aKi4dBSD3tejWsq3xbFKyFIvcbaMcJRToFkw+hKLyRJUQdvUj+PV7B+ZbaSm/1n7YEee6S0d1tf/wckCWGcjgFowW89txG2Gy5ab9QQewySejdrx9BkMkZfhMGlHvzp6zOZ1M8KUgU2JR4HBhW7cdFxQ3HRcUMxa3QFvnTcMJ3r+1ubDic1FpRlWZfcU/JlZP4lSdJJlOs7g9hwsN30Pa0axHmcdlw5S+l9OmfqYNMEk1dCGB84IymRDB/ubsHyHc148gM9CdGk9lh9VX3AXvhkvy7woiSqqsjd4+oqbwpHQd+hjgCrfNSqCzQFKX9bvRcdgQgLipvVYwhH4ywoBRKNKWVZG3PFJ2H0PNCmXeHVy3Dpnt3V1J0QdD7/8X50BCKorfIyssSqm3IyMCVEhlUtWnSHpZgDT6hkFbnU9wddf36zylU7Bm8iSPI6t8NmSWLMBxPGALPQsDHabZKuEk0b5R6VwOI9ISRJwnfOHI/56jhPr9uBX1xyDE4ZW8WuN8FKOwbvCdHiU/xrbFLiGNLqIrdOlkoVAkmS2MZX4LTr7tPrTq3Fn6+ZiZvmj9W9F/Xt+rh1PBtKCAC4ad5YDC8vwIXHDrH8N+mUEFOHlaLQZUex28EqNbx7O+9CTgkxkRD+cHIlBD9ui0+2ygqcCRVUox/L6KpCSJKEBSoxzrf3UVVoTV0rusMx2CRFCnzs8DI2DrHchGzhIUmSlkAEo5oax3AcM0YplZ+1ddkjIb77wmc465EPkrYRhg3FAiJU/KrUVSNe9AEiS7hVfwQigXpLQpjBGPyagZ5Peq75+/CUsZWmVXSeXKMAeewgL+w2CZ3BqGn1WpZl06lDxW7NyJQnzvVKiN61YxjXukxhvDZU4OBJCH7sZjZRzXlCbFGD/KlDS5g0fG+LMlp9n2Fcp7EqmQwVXhfuumhqQjXYCN6cspNrzfO6NTKX7mXaR43TMUiRO6ysIKEFjwi/kRWFcNptzNzT6CHBg+9NTwUiLX3BKEtwKamKxWVGjhW67DqJfabtGBFDO0Y2p2N4HHZdca6n7RhlhS6s+vEX2LhgQiYkBBkIrz/QnlL5ScqmZMdKBcu9LX7W+k4Js9MuYWiZFjt0+CMsFipOUEJo91mcu568woIKS3PGV+FL04ciFpdZe0Q6JQTFnIUuB1M3JiNWyAeB1L9etz1BkUbkSgWnpjAqyAHgyzOGobzQiS+Q0lQlhPe2dKOupRuxuAyvy56gNp2iGkJuOqjsXY3MJNvD4idjTsS3wpkpIYj05CfxFTgVHymauELP1hAuHztj0iBUF7vR7Asz0idTmBVOkyEvJMTjjz+O0aNHw+Px4MQTT8SaNWt69X5GJQSgJRc8CWFM3nozIUMLUJSNRKeEiJsrIXqCVBLPEjXIfOyrx+Oxrx4Pm01CaaETS783Hzt/cR48Thv84VhCJZygBFuJCZeZ/PDnF07Bzl+ch/kTFcO7A5xHBQ+ju3AqfOcL4/HAJcfggUuOMf09IyE6g+wmpmfcqhJiv7ppNnaF2IMXCMeYLOyGObXwOG3Y3uDT9bX11pQS0Es9iXjaVt+FYCQOh03CCDUoOHNyDYaUelDosqOs0InbVcMfWsz3tSqLFSVYnUG9JwZfueeN+Sq8ehKixOPQHdMJI8tht0nwhaK65wTQVDFfP2kUTlQnBvS2JcNnkOJZxbwJ1SgtcGKearaYCqwdIx0JYdJqQyREJN77wIMHX7X+VO3BrCpyp3VVBwztGIa1wGm36dQDriQeNFTRNfZjJgMx44CS1FuRjVZwk1joXqoqcifI8yVJ0lVm+U1cM2vUB6Qk+zRKIqlVrZtTQtgtnFMrmDK0BCt+eAaunJWo0EoGxVxN+W8zEqLI7cAL3zwZz33zJEYoFXHzxymprSlxM4KF+pyNqj39dAxzTwjjuE4gUd5P3g8XHz8MPzh3Iu794rSE372n+ooMKy9gx/3ApcfgkuOHMROtVKBEoDMY1cxpPUYSQgmKtzd29brVDlAS5o/2tCIWl/H+9ibT1xhHdPLH1BXUevdrDaQcIyG6Fc8pSpo9PWzHSFXlt9K6Rs8TJZl8u+cphlYMAt8KRnGT22HHWPW7bjNpyejiRgHrj9HOAnpegdZzJURiTJIpcW1EAgnBKZEqvC647LYEBWi2QCREiy+EVerI1ClDSlGrknzr9rXjvN9+gAt+t1yX9B+icXll6UlgKyAZPz+Gtdjj0BGhtM4QqWRUEJA32fDyAnbfUGxGikrqMT92eBmA1EqITD0hOoMRdi/VlHhYUk+El3GP4FtNrMBoTJnN6Rguh7Y+O+1SygkWVmCMH/j4wNj6YcTY6iKUeBwIRuIJRrR/en8XbnvuU5XcoXYM8zh4aFkB7DYJoWicxVTaaGtl/yeCiY8xKa6hNbdL9QwClD2PQtq3N9Wz9m8qLFUWuXHvF6exxN0mafccwThWnF/baV9L1g5LJrS0xxa6HLp1mCdX+NiIb8UgzBhVgXU/PwtXqPvkkBIPm0bzgbov1VZ7E67lVPW9djR2IRyNM2PKQSVuHXHz0e4W7GxUrh+f6B9sD6CtW1GlUn5MpF0wEmekHN2PYw17HK+EcNptuFwtQj+5fDde+fQAdqSYoGSGfkVCPP/887jjjjtw1113Yd26dTjuuONwzjnnoLHR+lhJIzRPCF4JQe0Y2o1vrI529MKcco+RhDDIZwFN3t0bpJLXpUomHHYbY/aTzXg1JvaA8oAZH2j+PelG3p9krKPWFpD+u3ucdnztxJE68ogHEQDhaJyNlCS5k1HVkgx8deEAIySU93I7bBhWVsCM417gDCp7a0oJ6Kss5LZNpM/IykKWoB03ogyrf/wFbLn3XHx259msNaVLDQqoFWPS4GJTEoav3DtMmHZa/EsKnMw3BVAqncSO8r4Q0Vic9QqePLYSs2uVBGFNL6uUVh3fjfjK7JH47M6zWKKSChQ8tRq8YIygRd2sHUOWszeWFNBXUz7b36Yep7UqCH+uzNz3eTWF8fdMCaH26bI+4LQSek2KP6jYndYMFNAMJhXSU3nOjK0YBH7sJr+J08Zntf/bKGO3SbB0rLmCzSahUD0mMxICUKosU4dqbRm8XLiF28co6fKH0ishdNMxuP0iGRHCgwIyu03Ct+aPw2njtaSV7p+16lrAz1ifUFOMR66cbmqCZwSrYoaiSdsxqovdGFVZCFlWJnf0Fi3cWOJk76eN6VWeG4ddUyd1BiLaHm+YLU/PbnNXWPdsu3uohEiVgFlJvm+aNxZPXTMTV6n7Bh8wn5qUhNCeu3ITNcDnJuaUZioIjzqNx6wdo76nJISJGWCv2zEMcRSpRyRJwj+uPxH/vvHEHsvj06HSq3iUxWWlIFDhdWHOhCqmhFixsxlt/gi6uFYDAGwkuxUvJCug2Glbg3Ztiz0OnVpA84TQpsDwoOLTsPICFl9QHLmbjbMlEkJTQiRr72HTMdJcX37ULxl2lhW42DpC95qRwObXV6NJvRko4S1k0zFyQ0KUF6b2+egJrE7HAJS9inwH3t+uz71+v3QnXv3sELYc6kzbjuG021hCTvcuq9qrzxhdO1L28H5AJZxnEJmn8/dcS3cYq1VvG1p/Kr0ulBY68cvLjoUkKWSXcQ01Fg/5fY/IgtGGdZ1wImcoSX/Lx1kjK7TYnc85k3nH8NfZZpOYso7Geo6pSsy3hpcXoLTAiUhMxrp9bSxnqeHMubcc7sRX//whrn36YwCJRfYthzvR5g9DlpUcj1cS02sLGAmhHUN5oTPhfJJq/dN97bj9+fW49A+rMrIzMJvolww5JyF+85vf4Bvf+AYWLlyIKVOm4IknnkBhYSH++te/ZvQ+lCTE4jJLSPkqL19FJxjZmF61Y7ToSQi3ISAGUo+ptApjLyOPdMkEm2qRZLQmJbKDit1s0xk/qFhXXTWC2PRkSgjWFpCV725nDzm9Ly0cVtsx9nOGnuS8zgiGEqUafaXKUv53/SF2/Rjz2ENTSkB/P84YVa5jqvmWGSNKPA52DZq6QsxDYvygItbi0aZro9E2Sv68G8mdYoMSYlhZAVt8eBJiy+FO+MMxFHscmFhTzJjhzQc7mGNwT9DNjTzKFFY3bG1Ep0UlREmiEgLIrjklv1g3Z2BKCWi9k4A5Icmfy2RKiD0GTwgrnhzUkjHIQiuGcpwOpn4i49xkbRy8EqJcRxwra4vVhMNIQlghPnMNuh7pKlHG1/tCUUacVXpd7ByQEoJIB1JDBZMYU7oN7RhG8MFYeaHTVC1BMI5/rk2xZqUCq3YFIwkj2ngQybg2C74QddwEgnX7zJOgMPOE0J57CvAOtgfYs0ptKQR+pDJ/HXqqhOATMKOC0Eo7htftwJlTaljgSOe2tsqb0KNM4BNufk+YNCT5mE6SSNtN5O60nnUEIizp4tsxMhvRaaKE6OWIzmSeEIASJ1E7UC5gt0m6SvLtZ45Hicdp+jzxU6sOZ1kJQUkIxUEepw1uhyY17wxEWBEpmTEljawdVlbIeUKoSgiD19XEwUos2RnUkys8glbbMThjSjZetNDJ1ASH0yghAMUYNx206RiqMWU2lBBc2xfdh7kgvIhoczlsKYuXhHPVyRqvbzjMfhaMaCrhwx0Bdm1TtY6MqtDaigC+gKc3X6b1oIiLaTxOO4t1O9mkPv1a8fp65fho/SES+PSJg/D2d+biqQUzE47JWDzk14/bz5yAJ64+AZfNGGb6fY4ZXqqL1Qtd+nYMvj2PLyZNsWhgS88HKYuN7a+AEu+SGuJXb29FJCZjTLUXQ0s9LLZ4b5syzfBAWwCBcIwpHiaovlubDnawc1ZR6EKB0872F1IKU97Ke1KYtX+NqvTiZxdMxpzxVXDYJHSFojqlWzpYzdeAHJMQ4XAYa9euxZlnnql9oM2GM888E6tXr054fSgUQmdnp+4fALjwseWYetfbiMTi6AxEmDMpX3mmAJg/US1ZaseQZVk3nhMA3GoC0J1lEiKhD5wLWNLJuaamGa1JJERZgYtJEdM5QQ9Xe4f4aR08KHnLVm+2MZEZqVburQY1+7iRb+Sr0GRQOcyurUBtlRf+cAyn/nIpZt7/Dv74/k7lNRaTMDPQdAybpPRj8RInoxEND0mSNEdtX4iNvRpTXcQCRp711Ckh+HYMgzFmsdup20yGlRewhJAnIdbsURbHmaPKYbNJGFZWgCGlHkTjMmsn6AlIapqpEiITVHIVed7MLxyN46tPfogH3/wc4Wicba68ZwHfPmWVhHji/V24+PGVKe9Hs75Sq87YqdoxAH2l1KiEIIa9rsWPWFxmDtRWZtsTSWaVhJMkiREKREIYx3MS6J5zGXwx6PVWEw5yVCcSIltrTm9A93YyJUSy13frlBBuFgQHDMaUVLUORmJYtLke5z76AdbvV+TObodNd4+YGePy99OoJJUggrENIVnlKB10CUSKlqCZaiL4pw92Y9YvluAvK/aYvt+GA+248LHlWMWZoRmxmyMhmn0hU9Jcm46RKGOmqU3Vxe6E56WKIyHo2XYY/FgyAZ+AnTCyXEcm9iT5pnvqlBTeU7p2DJ0SgiZkmCkhlH2T77+mzyorcLLnj9ZWPvYKRGKWEzpTT4heKiGMlXYrPjfZBCnuxg8qYj5UI01URLwXB6k/03lCWIWRkKL7mq4hHx/T/cH77cTiMiNGhnNKCIojKU6hwobTbmOJ2fokvhBWPSH4KRe015YWONnzWq8el9FniTfGteILEc1JO4Y69tRhY0RBTydjpALt/1bbPM6ZMhhOu4St9V1M0s/fA4c7gloSm+J4KSZPjK/J98jO3s/s+IxTiejftJ2/vbke/rC2d/BTLSYOLjYt6PAko8uhb1stLXTi3GlDkhI1bocdx6tm2MrxO3RxFk8a0Hlx2BQzVisYq8ZWJMxJlgtQ/kYx95UzR0CSJBZb8ONVD7YH2HNx2jilbXnToU5NPVKkKG9oHeVHrwL6doyhSUjPG+aMwbPXn8jIzMau1GpjgizL/UcJ0dzcjFgshpqaGt3Pa2pqUF+fOEP0wQcfRGlpKftnxAilYl3fobjw7m/1M2bWOM+dLuz6/ZrxSoInRLBnVd1dTd1o9ysGgpoSInGKRTbaMYwM/jTOYT1dtY02gGRKCKqmlxVqbvBnT60xfS1hBCMh0ighslSVHMwtJsVuB6oMEsBUkGUZB1p5JYQqFzOMZ5QkCdepju8dgQiafWHWD3YCtxhlirHVRShyOzBzdAXcDrtOnp6uqljFOWqT4dPY6qKEPkxA8zCQJH0iZhwRWszNuwcUmSdJjfnr+YnadjFLlaVJksSMjJIRWumgzPFWno1ckhBFbgfrE+XP0Y7GLqze3YKnV9ax4Nhhk3RVQH79sGpO+fdVdfhsfzvWphgtaEpCWKyE2G3axmEm2+YrpUYlxLDyAjjtktrOFOCMKdOff+olt9ICQ6DAaksaJcRxI8pQ7HZg+ogyncLlhJHlkCTNGTodKKDTlBB9T0JMG1YKp12yXBXhp2OwntcUSgi6X4OROF799CC21nfhxU+UNjK3ww5JkhgRka4dI90aNKK8EPwpNZISVqEpIaIpfWHmTqiC22FDOBpHU1cIz63ZZ/p+b26sx6aDnbj7f5uTyrz3cCQEYD6KLhxVK5R8L7UaENN4S+NIWUBPQvR2MgagT5AnDSnWXZeeeCFQjMCPUjVC147B7QlETFErAA9ShgwvL2BJNZEk/NjPZl8Isiwn+AxZVZ5SvMYnlL1WQhgSjt54PfUEs0Yr5NLdX5zKyCqP047ZoytQVujEF9SxyOQDEYvLbJ9KlhRkimKPU7cmUDJI55lvVyYyn5fGN3YFEYnJcNgk1JR4NGNKfxi+kGZmyic0REgcbDePFwNh1U/FYjtGV0gzpiwrdLK1hSkhDPeJJGkTgoytJWaIGu69rLRjcFN4aJ3oqSllKtA9bqXIACjJOI3vfWODkn+1+vQkhNaOkfx5obGTGgmhXIvqBCWEcg8Y137jVCIqDk8ZWoJijwMdgQgrjNltkiWCn59YaDRBtoLZtRqB63U7dMa4/Po8cXAxPE4bTh5baUl9AiSSDslU0Xyu57BJuPQExZeB9iieINtW38WK8UQ+b6/v0tQjXv21IHKC8kt+9GeyNloC5U1WlRCdwWhG7c25yw56gB//+Me444472P93dnZixIgRGF3lxfZWpVee5OFGY43pI8pQVeRCsy+Mj3a34rTxVTr3UKDnSggy7TtxTAULIFwGJYTdJmWlP9l4Yx8/oow9kOnaMSYNLoFNUhLZxq5ggkSJJDLlhS5cdeJIXHTc0LQP+HCOBQtGYgnBl9moyN5gMFcFKC10orRQz76nQrvaZ0mgRdIoFwOAq08ahXkTBul6rUsKHL2qQpQVurDyR2ewhILv7UyXAPCzxXcxJYSXJSH8vWw2GQNI3OiKPU5d0jqsvIBJFIm9lmWZycRmj9YkqrRI7Uox8i4VgpE4O04rEuOeQpIkFLkdaPNHdJUPShbCnN9FVZHe78BukyBJSn+iFXPKUDSGw+pCnEoJYdY7l6zH0gxFbgf84Zi5EkI3wjNxWsaoSi92Nvqwp7nbsjEloEysWffzs9JOP+BB92aD2so0OAkJUeF1YeWPz0hIDI4ZXop1PzvLdLylGTyGapU9C8qz3uKRK6fjvi9NS9nmwINXQvDSV7qu5AnBlBDqM83LL2mNIyLc47QjFI2bruX8/TKqMrESy8PlsGF4eSFbN43eCFbBJxD8hBYjhpcX4sMffwEf7WnBTf9Yl7R6Qs/T9gYflu9oxlwTw1qaCFPossMfjuHTfe340nS9/NZcCaEc60fqHnu8CQlNIzpbfGEEo9qos56CrwKPG1SEFl8Y2xq6YJN69r4/PHcibpw7JmWiU5WkHYPuR38kBlmWdSQhBbRVRW6MKC9AU1dIR2pVFbnR1BVCsy+EzgA/i96GYCSOjkDEUhsaPc8VRS50q0rG3o/o1P6+vNBpOWHIFu754lR89+yJCc/kP79xIoKRGJ5bsx/vbm1k5E+zOmHIbpN65UtlxLCyArZXURHLa0hMnHYt0ePbi8mUcnCpB3abxJRWcVkp9gEKgcorsOi68Ua6PDKdjtEVjOqOn2JgkvqbTZwqcjvQGYymVULE4zKrTheo5F8oCyQEtRe5HJpJY05ICPW9MzG8vODYoVi2rQlvbDyE75w5Hs2cl5bVdgxS9DBPCMPkMVojiCgyxh+aEkLfjlGuthB8XNeG1aqha4XXZSmvIjXxwfZAxkbogD729brsunWOVwQOKvbgox+fmVFMa2y/MGvHADQlBKBNqADMiws0yrPE48BEVc22p6WbxfVEKhYaVE90z1R6XSgtcKIjEEmb89B1peucDpRnknI1HXKqhKiqqoLdbkdDg37MR0NDAwYPHpzwerfbjZKSEt0/ADBGvQl2NfkSJGAEu01i82QXbVZYPqqM0j3cU0+IpSoJcbo63g7glBBZrsoZJdbkOAykTyYKXHaW7JpVsNs4RpmX+aRCWaGTLfSHTNhtNqIzSwkBn8iUFTpZUmSlHWOfwTxzf5vRE0J7b0mSMLKyEBMHF7N/siGDLC1wsiCX7+1MtvAQaMHZ3qC4xUuSQlyQsaTOEyJmrj4pcNp1iSvvCWGTlEo1kR10TvY0d6OlOwyXw4ZjhmtMLJF8PSUh+GCmt07n6UCbDq90oooLALahmVXDSL1kRQmxvzXA2OeOFKSYuRIiAxJC/T5mJAQfnJt5ufC+EGQKaNWvoMKbmXmWMVBJxaiXeJymx1uewWcaA9f+oISwqxOKrIISgEAkxgKGiiIXI7fZiE41WKfqYzAaSzBapvuD/m1G5pi5hKcCjaB22CRGQGcKLYHQPCGSVafKvS4cN6IMgBK8mCkd+Darp5K0bNAYZOp7NjOnjJh4QhirTMePTFQCUVWp1R9mPje9SWp5JcS4QUWsXcnrcvTIvE6SpLRJDk8G8K+lY4nF5YRJGC3Mz8bFEg89CUFKCG1CTnmhk50vqy2UtF7yPgpWzWqTgV87892KASBpfOW021DscbLYgGIq+ndNcc9HhJuBN6ej55LWBJaYOLSky8ftoQe4yRiAst/Q60g9aYxriEQLJfFjsOoJoR1PhGsjTiQhzO4TfvpHKsS4tYaOp7ftGLG4Nj7dZdc8e3LRjkHn2qoSAgDOmlIDl12ZDrezsUuvhGgPsmc+k3aMZJ4QVDk3KmHZtIcgtWOocYrHifFq6xeZU2Zy3qgloyfx5gmjylg84XXrp2MY7/HSQmdGrXh8AVKZimd+fLVVRSzXImNIQCPKeZD6tMLrwtCyArhUReF6dTINrff0fs2GdgxJkpiXRLp9nuJmq+0YFKeUFVi7djklIVwuF2bMmIF3332X/Swej+Pdd9/FySefbPl9KDDa3eRLMMPhQS0G72xpQDwus5NBvgadPZiO0RWMsErxGZM0EoKUEJRsGaXRPQVfLSwrdOqqV1aSCZo3a9aSocnarD/YkiSx87ffpCWDkrdstKIA2pQTQLmJKbC2ooQgU0oiLva3+iHLMjdzN7+STCI1itwOnReBGejYPtqt3GvDygrgcdrNPSGSmIFKkn68YkmBkyW/g0s8cNptbKNo7Q4hFtdUENOHl+kCayL5SJWRKSgA8BrmeOcCZObIEx+8woU2NLNrQOfQCgmxr1U7F6km7ZgrIazfexRUpDOmNCMpxvAkBJuOkRsSyNj+k+tg36jC6g+eEJmCr6BQ4lbpdbFggZR+QaaEUM5xIGxGQujbdsxICP5+GW3BaLJW3W9GcI7gmYJPaKyocWiNi8blBGM8AEx9AAAfbG/C3f/djF+8sQUPvPk5Hl+2E4FwjLVjXKZKWDcf6kx4Do0jOoHEPdVMCVHhdcGmKqaoR95sco1VGJUQjITIsXcO8Rt8O0Yhdyx+w1jDFs44laai8FVGWtNafCF2L/Nu7lZJCLouVdxxmVW4M4HNJrHr3BckRDpQbEDVYvp3Oml0puB9IVg7hnqfUWHD7bSxpLMrFGVrEG9KSaD16N2tSmFxPOcXAmhrUTInfavTMWi98IU0Y8rSAq0dg9YJs4o0P1kjFfg9n96nt+0YPInhcthYPDash4RuKkwZWgq7TTJds5KhtMCJ40YoOcLnh7vYMw4AO5t8jIhMVTShFq7W7jC6ghHNE4JIgAQlhH6NpfuQriuLUwoUY3RAMVlMdxxGMCVGD+KdQpcDt54xHmdPqcH4QUpb9Q2n1eK6U2t7vX4Ue5ws7k5VjLTbJDz05ePwvbMn6Are5koIJb8r97pgt0ks7luzR0/e0LWgc8wr7X503iR8Y04tzp6SKAjgoSkhrLVjUK5mtTiT83aMO+64AwsWLMDMmTMxe/ZsPProo+ju7sbChQstvwcxSUo7hrKImY2VPHlsJbwuO+o7g9hwsIMtsqMqFYlpT5QQK3Y0IxqXMabKqwviKABkSogsKQH44KaqyK1jqazIqqcMKcH/1h8yVUJo7RjWmVNAYcq2NXSZmlMS65sLY8qyQidKVTaNxjSlAjGzJ42pxFub6pXxTv5IgidEvkALgzJqM/X5qVYX223qPF7qI6OAsVWnhNDM0Ywo97pwiJPB0Qg2qjZWFmnjw1p8IXyuuqJPN2xktFi2dofR2h3OWE6Yqhc822BBB1fF4YMgkg2aKSHoHFppx+Adv1Pdj+bGlBmQEOrGYT6ik5uOkUIJsavJxyWAmT3vVmGcJZ7tANqIRCVE30/HyBRuhx1Ou4RITGaqmgqvi1VHyBPCH1H+TQm6PxxL8MUhEorOi1mwUqJTQqQfr0kJcbKxzVZAn9kVjLJkIdU64HHaUeC0IxCJoa07nNB2SImLy25DOBbHM6vqdL8/0OZHKBqH0y7hxNoKVBW50ewLYcvhTuZtA+hd643HCigyYzOy0K76HzT7wqw6bGwtygQ1JR5UFblQ4XWhusiNmaPL4XHaMG2YNV+RnsBpt+HbZ4xHsy+Eodxz6rDbWBXNH4mB14E0d6lKiGI3ThlXheU7mnHJ8VqLi6aECLHR6DUlHpaIWW1/pcSH32OMvf49QYHTjnA0rjOt6y8g34f6ziBicZkpIYYkmW7SU/Dxo7Edg2I3t8OOskKl4NPuV0bVTh1ayuI9PoGuKHRhf2sAG9SK63xDaxSREIFkJIRFTxUiMvkW27JCVwJpaFZV5k0tU4GfMpYtJQSvJnLabfju2RNxwqhyNhY+m5gxqhyf3XlWxp5bQ8sKALThcEdAZ0zZyo1xTKVEKnI7UOl1oaU7jL0tflZlN7ZjUByUXAmhb8dQlBDKvkNtMpnETRTf9cQTAgC+c+Z43f//7MIpPXofM4yp9qKxK2Q6npPHBccm3if8fkh7IFNRqvHBmGovttZ3sdZY8iAzXkf+uZsxqsLSlCDKm6wqIdq4tn8ryHmGcOWVV6KpqQl33nkn6uvrMX36dLz99tsJZpWpQCOzdjX5WHJhFiR5nHbMnzQIb2w4jMWb65m0aHSlF8t3NFvaFBs6g9jT3I2TxihmH6wVg1NBAFoC4FOrBz2tGhnBVzeri9woLXAyrwsrvYLHqZL6VbtaEI7GdYlKpjcHgaogZuaUyaryPQWfyJQVOjUlRLcFJYTaTzq+phhr97ahsSuEfa3+hOkY+cJJYyrx8JePxQkWzP6MKg1qh6gwUUJQz6HZPccHctQvtvwHp7P3p/Fhzb4QGrtCrNoxwsDUF7ocGFZWgIPtAexu8qHCm9lIMx+rVOSehChmbK92j5gFQdUm158SEisVEJ6ESD0dQxuvGDOMQLMC2rTTe0IkJyE2Hexgn22FvOwJKjgys8jtyKkBKZBIQgxEJQQA5mECKEFFkdvBKnGaJ4Q+MavvDMLYqUABxVUnjcRbG+t15lqEYo8T3z9nIhxcT3cqXHz8MBzqCOJL05ObHKYDX4m0SoRVeF042B5Amz+CUYavQc/y7WdNQDASU5QRslJp++/6Q3juY8Wok9Qb4wcVodkXwp6mbj0JoT6XZtMxgNSmxAqxEWZ98r3xhPA47Vj2vflw2m2QJAlDSgvw0U/O7HX1Px1uP2uC6c8LXUqy7jckbc1MCeHGhJpivHrzqbrfVzIlRBjFHrWSX+Jha6NlJUSUqq/aHphOrm8FHqcNHYH+qYQYVOxh+0NTV4hVjYdmmcg1K2IZ12naR8ZWF2Ht3jbsbiISIpDwHvwa4nHaMGd8tel79dYTgtYQGq0NKPGMUdVn9swQUZ+2HYMzz8vWdAz+7512CSMqCnHNyaN79Z6p0JMCA6/CMTPvtKI+GFFRiJbuMD7b345oXIYkaX+XQDpYnI5BI+IzPRYCPee5ind6g5mjKvDh7taMjL8JvKLglHGVeG9bE/t/KlIa82HtWhinx2S+rtJ5beyypoTQ2jH6iRICAG655RbccsstPf770ZXKCSaZh9OevF/1nKmD8caGw1i0uV6nhACsTce49d+fYs2eVrx+62mYNqwUH+xQLjgvjwG0xZaka9lqx5AkiVUmqordkCQJT14zE42dIUuVxtm1FaguVgyj3tvWiLOnalKb9kBmMhkCnWtzEiJ5Vb4nGFLCbXgFLnYjd4WiiMTiugDSCJqGMaK8ACMqCtHYFWKeB0D+HbJtNgmXzxyR/oVIJCGMSgjetC2ZMSWgJ5hogxphGA02qFghIZp8IRZUm8kFx1R7cbA9gF1NPswcnRkJQQFArhNTQC/dJJjJQc3acZK1YyzeXI/Hlu7Eb644jklOaS42oFX5Xvn0AOqa/bjtzPFM7RJSA7BRlYXMw6Y8AyVJMfOEMAuwtJ+Z/Z7uG5bkcuZY2Qb/nXKtggASlSH9wROiJ/ByJAT5cJAxmp+N6NQrIZpMqhC0B11z8uiUge7Np4+zfGzFHid+eO4ky683fQ835wkRsjamt6zQqZAQ3YkKI/554iuK4WgcH+1pYdUfUp7VVnuxencL84kgREyVENpeaOYHQVAUEpoasDfTMYDE5MHqiNdcwOtyoN0fYfcegfeEMAOpRpp8IWYaW8OtA6l8c3gwCbi6nhQ47VkhGOka9UcSwm6TUFPsxqGOIA51BFibT7bGcxL4Vgq6142FAbd6nsZUeRkJAWjtGMM5dQZf5DhtXHVCW0UBM6ZM4wmRxrSO9kAiXovdDjhUPw0eZoqZCvV+3dNsPlaeEIklekL0uh2Da/nqib9LPkCjsQ+3BxN8YABrPgyjKgvx2f52fKK281YUatMKjfdX2ukYpIQocKKyyM1UFlaPhfCl6UOx8UAHrj5plOW/yRduO3M8vjh9KMYPylxhyO8NZ02p0ZMQai5nJCGqDMaUhJ7EgpQ3NVg2ptS8B61gQOhZC1x2XW/b6EpvUuXB/InVcNolXesGGXJZUULsbFQ8JzYd7ECHP8JOvLHvihQG2W7HALTgkm6kE0aWM8OtdHDYbUwy+Z91B3S/o5sjUyWERkIkLurJTBJ7ipICB6syKe0Y2o2c7vqRJ8TIikJmpEUGZXabxFQF/RFGGTBTQpgYU1LrgNk9xwcJyRhhSsabOkNsRNhQExlob3whfHkkIcyMKc2CILN2nGRKiOc+3o+NBzuYyS0A7OWMT+lZuvPVzfjtuztQx6kkSAkxSXUtripypyTPjJhdWwGn3bzXk9/gzdoxqovd+P45EzF3QjXmjK/Czy6YnLNgiJdKJpuMkU24HTbwX2UgKyEIVLEgcqk7HIUsy6xiaGyD4snu3vgS5BL66RjWfEkqGNkaRiwu4/3tTaySnqx66nLYdOQLqYBoqsfuZiMJQQkCZ0zJmX6l6q2m60SJmZkKaaDCaIoKKAQPnf9k44UrOWPKOvVcDy31sCKHlfbXeFxmyWAF62PODmlKUuT+SEIA2p57uD2IQ+3ZHc9JGGbSjlHkSqKE4CZiybJsWqDgY8ezpySqmalNKZhEUcA8IdJNx3AbfATUYze2Y5gpIeaoYyiXfN6QdKQvoBVznHbNP8SslTITkKonW0XJXICREB0BtPgSE0srrbc0pvND1cOML/AYSYdETwjz6Rj08wmcGsLqaHNA8f574uszMi6Y5QMOuw0TatK3ZZuBnjm7TdL5EgJaIcjoNUGxmfH56Al5TnFzRyCSlFzkQblKvzCmzCbGmMwiNkOJx4lTxlax/3fYJLaIpktiw9E4k5LsaenGHrWSUlPiTmD3tHaM7M+spxslEzM7HmTOtXRro87MrK3HnhCqMWVr8naMbCUEkiSxhKa0wKmy32p/YIrrF4trm+aIikLWXrCWjWe0Nuqnr5BIQij3eBkb0Zk4HcPMDNRMCWEELSp1Ld0smR5mRkJQUNKY+YSMfLZjFJExZZLpGAQzJQSRA9G4PlihKmqzWg2MxWUc4O7/joAyEpT6VVs5gyeq3E4fUYYfnjsJD1wyLaPvc/nMEdh0zzn4wuTEII8P0JMlQjefPg5/v242nr3+xJxKQXljynwE+pIk6YLXgUpC8M8EBXyFnBIiFI2znlijgmbasBI2ISXfYwetgtbrpq6Q5XYMfp1btLkeC/66Br9863MAGglhRrpcdeJIRlrXqv22REbUGUgIkkqbKSHcDhsmD0nuyUDrM+2BvVVC9CcUGkxRAW2/sdukpLJaMvo93BHA2r3KPjtzdEVGxpS8Fw8VO7I1zvCmeWNwwTFDcNq4qvQv7gOQ/8PhHCohygudbM3UjCn19y7tI6Qk2t3sQ7MvjFA0DknSHxPFjpIEnDFZnxABnDFluHeeEB6nTbe+U1XVSGaaKSHmTqiGy2HDvlY/tjckj13YZDebxNYEM2VAPC4jHk9OZvAIm5jf9jcw8qsjyBQHvG+KlcSfzCl5Q1qCsfCUzhOCN6YEwKY2ALmZKjLQUF3sxs8umIyHLjsWg0s8uglpmieEeTuGMf62OjaTR2mBNtnMTJFpBCMhCq3F/v33STGAJx7SjTs8e6oWvJer81AB5aZPxYzy/Wd7mrqxp1lZwGpNXMUpAKTqQSaVznSgTaGn0xwmDi7GtGEliMRk/PezgwCUJKqjl+0Yzb5QAhPGs8nZAgWDlARTUNLiS5TqEg53BBCNy3DZbagp8WC4ytRuOqgYdObbDyJTeN0OxloWuR2MKKBFpisYZZU8fvM0ooKTziarPtJ99Zk667vE4zBNEnozpjPdaL5sQmvH0IJe3lGfYKaEYMaUXPARi8ustYfWhPpOvXSxIxBhhkz0/8bP9jjt+H/zx+paoqwiWYJZmMaYMp+o0LVj5KfViQ9es6k+yyf4wKCSkRDafsKvsUb1VlWRG9PUCUjpHOb7Clo7RhSxuIzxg4rSmgOSv0ibP4yt6mQnav9LNdavrNCFH5wzCZOHlOBMNSkazU2I4fd7esb5vXra8FKMrfbiq7NHptzDZ6q9vFaTqIGEQhMlBK1tFd7k5D0Fuu3+CELROAaXeDC22suSDCskBN9Df9yIMjxwyTH41WXH9uyLGPCl6cPw+FUn9NvnhPwf9rf6menbkCwrISRJYqpQIvocdpuOwKZ7mRKZ3U3dTBFcU+zR7TPUbjNzVLlpkYwIQbP9F7DuCSFJki55pRjeGKeYekK4HYx4emdLfcLvCXwxh76jURHZ2BXE7AeW4MZn16bMHXY0dOGGv33MyLj+rISg1skmX4gllbSnANYS/7Om1uD8YwZjxqhyzB5dgetPq2W/Mya+RkWuNh0jcUQnAEwYzCshBAkBADfMGYPLZgxXirRcyxsVKYrcDla85UfpGseV9qRwIUkSZ06Z3heirTuzKYz990kxYKxFJQSg9M2Q6qWCc9SNxOSkhjmANtcWUCqhe1QZeq2Jo6lRCZFNEoIW6HRjHVPh0uMVNcSizcoopa5ghPXXWZXJEEoLtLaI9WriSqBFO5tVyYe+fCxev/U0HK9OdKgp1pykk6GJG8Npt0k4qbZSt0HN6ocSLSOquDE+JNsqKXCCTi2pFqKpjCkzUEKQw7VZKwYAjFOfs32tftZiYBXd+TSm5Nz4CQGTSoxZ0ETnkPeEONwRYBLhZvW+Ij8IejZTkRCkhMiFZJsPzPpaEs6rbvLRjgHAoIQYMNuXDrxZFE0YYcaU4SgL1J12KUHaWlnkwh1nT8BlJwzHmSZKmf4AY9B549wxaWWoFLC0+SNsug89w8E0if91p9Xire/MwSD1HhxZUQibpCTVvKM3PdO6EZ0eJ9797nzc/cWpKY/vrCk1OrXY/2/vzuPkqOu8gX+qevqcnvvIZDIzuYYchJAQAgMBScKVBOWQXXEF0QDGsLrKqgtmdkUUfRYVfDwQXdwHXUBBQA7RRVZUXEBRDhMSroSQIDkmdzL39PT01PNH9a/6V33M9HRXVdd0f96vV14vpqep6e7qur71PfJpTOk2iSycxP4zm5rs5M71Z7TXQ1EU4yIjq0wIab/r86i4vKNtzN4cxUSkxf/3li5omh4Mqp/ANIBsdV4wD2uXzcDpsxIdX+VtVBxHpteFUKYqGBiO4WcvvgsA6JhlPm+6aFEzrjvnONxyafpAkdg/Z0rbFhee2ZwXpAtCyOVTQPrpGIC+vQLAb17fn3H5RhavRzGCBsmNKZ/Y3IVDfcP47Rv78cvNXRmXdf8Lu/DbNw7grud2AgC8Ze4NkNeV++DzqNC0RPnJgmmJIEQ2mUiVAS++f8XJePgfl+HBa0/HWdKUlOTMh5QgRMp0jBHT46ZyDBu2h8luqhSEkNeVuDlfH+8zBaTLhMgtIGsEIbLoC5HIhCi6IEQiEDB7nOYejRUBoyt2TbkX5T6PcSG3++gAHnxxF37+8m4899YhU5rVAVMQYsCohZ9ZnzrazG9jT4i1Z8zAyrkNxoSOXJw6Uz94vN7VA03TjEZoYX/ZhO+gKopi1P89Fs+sEBJNEq37KlUEvDhhWpWxIYno+1hzarulWdIA0FYXwss3noc/bTgbz96wEje+b75lr88uIugkf9c9Ulf7Z7YdxIH4SC8g04jORHpxpvUspkSIAFqmJq8NFX5U+MswqpknQ2RDTI1xphwjc2NKkcVUFfSmvYgRGTzyuC75vYpMCPHYgmY9SycyMmpq1Co3YRN3gexIl5dT8QqdCRHweoxAn1N11/LF32RtTJmuJ4QxojMSM+5IB72elIvd2nIfTptVh29etsiytHWryYGTKZV+XLx42hjP1hk9IfqHjdT0fiMIoW+b2TbV8pWpRgnhTqkkw+gJkcMNgzKPirXLZhg/u7UUJhfpMiFErfhYdyJ9ZaqpZ9MZ7fr5SqIcY/xG4OKir0xVXF0uaQdRjiFK/q4+Y6Ytn8GKuY340kULTMcL05Sl+Hbl9ahG1sSv4hfc5yX1fQh4PfjMeXOMUb7J/EYQIn1Zg7hAyabUWL54NcoxkntCZOgfcs78RiiKfqNlX3f680a5qbr4bJKDEL+LT8cDgH//7zdMgTqZyJoW+xs3Z0Ik3033lamm9TmRPgzppAYhMveE0DQtNROisQKqAqhK4sYcJaQrjwIS1w3y+kvePnLN4EtMyJhAECLLZsvu3VKSyIGH8coxAGBNvJFjW21Ij87HP5B/e/RV3PDwZvzLQ6/gw3f9BT+XmjfKH/DwyCie33EYwNiZECKGka4+P1dXdEzHj686Na80wuOmhFGmKugejKKre8j4YuTahfvSeJ+JX23uMkW5rR7RmU5TPJU308EESA1CAPoG11ytT8pwa6dimehCOzvp+y1O0D/30Cs48xtPG80k033mLfFu2GNNK0ieEpIpE0JRFMzKsS+EKI1wYlySOMj1pmlMedqsOigKUkY/CeJCdngkEYyUu+onMiH0IMTxzZVG1o/8mcgn3CITwo67peYRnYW/EGqL14aOFxi2SqBoe0Lo72tweCTRvM3nMRq9JZ7v/pMyr0c1vvtXnTEzq2BZtVSOIZr0DSY16ZzI8XCmVJIhpOsJMREfPLXVCLq5tSloLtIFIY5m2cRaDlKcEU+BN8pfJ1COYWUm6WTRLF1MTKn04x9XzHbsb8tp2nJGnTi3jsVLW5dLd7izYZRjpMmE6B6MGjdQsgmgyucOclNN+VQu002OxooAFsczaf9324G0z5GbqvuMBtWJ84C+yAj+HL8GqC33YV/PED7wH89j/b0v4U/bD5mWJRpTi/fnc8GxeSzy3fS6cp9pNGy+fRiSs/dSe0IkGhf3D8eMawixvqtCXnzzskX4+t+d6Ehj88lGXnfy/lkEkuQy/uRMoUCON65EJsT+MW4EAzDd8M72WnPS7PmnVAZw/aq5+MJ755vGamWydtkM3PaBRfjc+XMBJKJsL8RHyoixnU++mqgZS/6ARXOm9D0hzB+d29Kv/GUeIzL2RlePcadWbiY3ER0zazGtOojeoRH89o1EittIzNoRnemIKJwox/iXh17Bx+5+yZTFki4IMdlcdcZMXLCwyQj4CJ86ux2LW6uN0a1vxZstpQt8tdWF8B8fPhl3XL4k499JLvNJ15RSyLUvRL/IhHCgHlccqHqlbuziwmVBcyWe+PR7cOeVJ6f9f41yDCkT4l0pE6JnaARD0RjePaJfzEyvKze+Y9sPykEIqRxjRJRjWP/ex5uO4bQfXLEEP7mmY9wSOavId8OLIRMipTFl1JwJoUp36YDJ06jr709uwZK2alze0ZbV8xOZEFHsPZbIhIjGNOPEPjkgM5Z0zSmHjZ4QuX1vKgNeXBlv9OrU990J6coxxKjU8S4WxR1tve9HoqE0kGVPiEnQyM8u8iSMDWvmOZI1KMj7IDlYLn+vT59dN25D2WQiSDyYJgghSnwqAtll48qvUZQQq6q5V0RyzbusY6aemfNKvOw0WUxqqp4uE+LZbQcRjWmYURfCv79/IQDgtb09+J/X9uOmx18znjcSGzV6SAk+l/crMgUhwj4jKwfIvzFs8vSV1J4Q+ndK04Cu+L7eoyqmLM/3n9SS9Xj7UiNuMCqK+XrnksXT8KFTW/HJlYlgZnImRM7lGFlmQgxGY8Y2lO1Y+kkVZprIvPMyj4q/PzlxMSevrOqQF3dcvgTvu/05/OntQxiKxhDwetLOQVUVGClqsuQghJXlCFaZP7UCW/f34o2uHuNu90THcwqqquD9J03D957ejp/8+W9oqQmhvTFsZILYeVdSbHT7e4bQPRDFz1/Ws1f2HBtEa3zddE8w+uZGp8yoTdu74uLF03Dx4mm46HvPYfPubhwbSHQuT2e8ca7JDU+nZSjHAHIf02mM6JzgSUwuEo0ppZ4QUgr3WF3vfWl6QsiZEIB+8iQyIabXhlAV9OJI/zDePpB4nqkxpejmb8OJtRzUKXRPCEBvAjgjTZDWLvJBtBgyIURQQZwsaFoi+B2Mn8wFvR7jwO7WEoxkX71k4YSeL45L7xzuN4J4g8MxU4O7wAQ6e880Ov2nlmPkc9f9hlVzcdGiZsxtSp9ZNRmlz4TIrq5XBLTPkCZQiGNwX2QEI7HRjOPUgcRFXykGIerCfqxfPguR6CguXjR+yZKVzFOWEv8tZxknl2JkQwQhImnKMUSJT7ZT3+RzB/m8rjLgNbIeQ2OMc10Y73OwJUMQYkQadS5Px9A0DYqi4Ldv6BkU58yfgtUnNOGBj5+Gd48M4PMPb8ZbB/qw++gAWmpC2H10MGW6ltu/z+aggx+NFX6UqQpGRrWcG+IL8ndLUVIDRQGvx7ihtjsehKgMlE2KbGU3EBlUYnqgUBXypvRqSfnsc7wxlmhMab5GjsZGccsTb+LM4+pw9rwpxrmLz6OagkpjcfeWYiG5oc1586dgQXMlplYFMBQdxfNv6ylX4gOW7za11obS7lCS73JaOR3CKuLi642uXuPLkc9F+vuX6AfKP+84gkvu+CPOvu0Pxu/GOtHIV5OUCbFTukCUO7XmOvljMhF3AES6U64lMPIkDiBzOQaQeyaEEYSwaOb7WNI1phyvmZ0gPkO5K3Zy/4uDvREjO2J6XchIDZVTvdNmQtjQQd9tmRBOk/e7kzUTIl05hnxycDg+7jUYv0Mp36mcLEGIiRJ3TSLSnch+qTRFUSZWZ52uHCNdY8qJUlXFVJJVDIwgRCQRhDhmlGOMfTz9yOnTsWJug6k7vly3L++T08mnT0cx6FwzH1+6aIHj/TDKMzQ4ljMhcglCiEy14diokWkgHMkyu0YwZUJI30P5znpojGPsiS16EOLNfT1pG2snyjHM2WZX3vUCrr33ZfzmNT1L+pz41J2OWXX4wNJWnByflPOHrQcBwHROKrj92CyXX9SX++D1qLjpogX453OPG/N8MBtlUjle2FeW9rstsiFEX63kXh+U2YLmSvjLVCPINpbk88Vc9zNGJkRStcAfth7Ej/64E52PbIGmacZxozrkzTqo5O4txUJyCceahU1QFAUr5+k7l9/Hm8+ID1g0dQSAGXXp7/Il72TcWNOYCEL04H+36TvMfNJIZzeE8Zlz52DhtCr4y1RTVMyJcoz9PRFTeq2cuVIM5RjjEQdfkQmRz3euUWok2DJmECLRE2KsEVXJnJyOIU5WBoZjxomPMdZvnLunIoNJ3MnQNM0IQogu72/t70VvZASKogclxXdMHtnZYwpC2JcJIZcjuKEnhNPMmRDu2+dmo8KUCaHfYVCldFQxijgkZUIYzy/SkWXJo0gBPStEnNQEvZ4J3SkTQYh3Dw8gNqoZ/4DSveDNRC4FErK9YOyYVYf/uupUIyMR0I9LIsg9XklGKZdjFFI4Q2+hE1uqsWJuA64+Y2ZOzYblgGnyhf+hLCauyOQR46ZMiGCi+fZYN79aaoKoDnkRjWnYti/1JorcVL3c5zFe13PbD+HJ1/ahNzKCmpA3JTt1xVz9uuEPW/XrBvmcVHDj9YCsqSq1/OLK06bjn8+dY8nyxfcruT+EIG4K7z4izrWK97zdao2VAfy58xzc9dFTxn2unJWSaz8IIHMmxLb9vQDi12aHB4wMuoncLHH3lmIh8SUP+8uwbLaeOnj23EQQQtM0oydEhxSESNcPAkhTjuHCnY4IQuw83I/n4o10/i6p38BEXXfucfjlp87Eh0+bbnrczjtDopHi8MgoNkkjQuUeHqUQhAj7RfM2/b3m85mLNFqfRx0zPbKtLgSPqqB/OJa2XCnZz154F0++2mXcAXOisZB8oBMZGOIO6niZEMZ0jPjJ8MHeCAajMaiKPrcegDH7u6kygIDXk7brr7kcQzSmtD5IoKqKcYJfiifuwSKYjiECc2WqYsrQExeDIm1ZfH/k71GxZkIEfZ60QbtEVsjEtqXm6iB8HhXDsVHsPTZoynTyluB2Mxa5Kaow0TFrySqz7AsRHcmvTwflpjxDTwhfmYr/uupUfPHC43NarpzRlTwm+0g8uJptIDXdiE4gcS4/3g0ORVGMu8Wb9xxL+X1Uaqpe5lHx3/HeUf/3skX4ysULsGHNPPzXVaemBBRWxq8b/rj9MIaiMSMIIX+H3R7oNPeEsL7ZsVh3mRqTi5KCjfHz+eTRqzS2mnJfVud/cmPKfAYdiCDEkf5h07FUzpD+847DRvC6egIZ6SWz5mvjO74VcxuMk7pl7XXwlanYc2wQr+3tMS7uOqTRmJkmcaRkQrjwhLihwo/6sB+H4ie1p8+qQ1tdan+LXFy8uNmYiQzYG/n1l3lQW+7Dkf5ho1sxULqZEEeNTIg8ghDxncrU6sCYKVr+Mg/aakPYeagfOw72jTl1Y9eRAWx4ZAs8qmJcIDoRhPCXJWoMe4eiqAp6jVry8csxzF2xRZfraTVB40D9UjwIIXrDpPuOdTuUCQEAIX8Z+odjrugJ4TTTdIxJeuEi7k7USPO8gcTFoLhjKH4W7znsLyvq7Jfach+6kiYgHe3Xt6uJBvQ8qoKaci/290TQPRg13Wlz+wWC00L+xHhYQWSgpMtQyUZV0Iuu7iH0DI0dhIgwE6IgMpVj5EtVFSP4N5Q07lIEFOuynPATzpQJEX88m5rzhdOq8Oxbh/DqntS+EDFpRCeg9x5rqhq7nxag91qbUunH/p4IXnznCHbGzxlOmVGLP8VLu93+fU6ejmE18f3KdP53Uls1ntt+yLjBU+Ev3vP2QpLLrvO5KVYT8kFV9GmQR/uHjUxqeULcn3ccNo6tmW7ep+PuLcVCV3S04YqONmxYM894LOQrw+nxgMMDL+4CoJ+gzJ1SYdx5yZwJkdwTwp0f5fypiQZaHzzFum6zC6dVmaKcdsdgRGrgm/t6jccOlFwmhLn3QT7p6CIIMdZkDCHbvhBiWkRsVDNqu53q+C1S3BOZEInGlGMRwcOR0VEcGxjG1n09APQyLPEZbY/vaMVEnbGCEJqmST0h7NkniO+B20907FAM0zEWTK3CtOogVi8wn/CKk+rt8ek3Rr+I+Pco18lGk0W6u+5H+kVWyMS/6/L+sjc+MthfppbkdjMWUVcvyjE0TcORgYnf0ZKJE96hNA0KZUZjSpeePxUruSTM6t5FmcZ0Hs4jE0L+Hoosm7EmYwiiL8TmNM0pRU+IiWaUKoqCFXP0bIjfvr4fOw/p+2uRIQG4/9hcK91Jt6PEr9zIhEi//1jSpvfVECUxzISwR5lHNYKME80mlKmqYowHPxTfjjVNMzWs/+P2Q/jV5i4AMA2FGHfZOb+qSaalJoT/8/6FaKkxZwKcHe8L8dimPQD01H9VVXB5RxtOmFZpbCzJkncyuTYJtNvx8ZKMikDZuFMTJkJRFLzvxKmmn+3UVJkaPZfrk0ohCJGc2pZP9o2o4c0mYpnthIydaX6fqSbQasaEjHiAxugJkWVjyp+/vBuLb34KN/5CH701vS6UUqYyPd4fRj4hEl97MZpI766tP2ZHOQagb9NlqoL2IhoTmC1TJsQkDUJUhbx47vMr8ZVLTjA9Lk7ctsbrLE+IpxKL73BtlncQJ6vaNEEWccKTy7Ykuuv3R0aM4GSm9OBSlmhMGQ/g5jBmLZk48U3XEFBmxcQSmji7MiEAOQCVFISIBxSzLSkT26onaSynkQmRRdNrsQ/duq835fWMGOUYE3//qxfq59IPvLQLe+LNFVfOazB+7/agmqIoOK5RP3+YblF2tKxinJ4QJ7VVm35mTwj7iG0n32BjfTxYJbbj/T0R9EVG9BG3HhWH+oYxGI2hvTGc8bo5nZI/Ip89rxE3Pf6acXdZ1L7c+L6xa+ImQ2NKQO9w/MNnd+CaM2daflF05WkzcP8Luxy5GEhXBlByPSGSduj5BL4uW9qCMlXJKjCVCEKMnQmxM02DpmzuVlghnDQhI9vpGGK73bY/8d4UBTizvcEY4SWIg7XcyXlqZQBdPUPQNP07KGc/2FUu8Z1/WIyeoZGi7Q8wFrmucbJmQgDpg7bJ6cWLW/UTaPEdtiNt1k3SZ0LEx5XmcOySs6P6HOxRM9mIcgwxolOUpfqkBpMTJU54041qlJXyiM5CMjWsszwTIkMQIh5QzHZEp7iLXhU0d9oXj2dzbjGtOmiU8m7d14tFrdV4o6sH2w/0QbTZzuU4smJOA5ZOrzFKNct9HsxuCKM65MWxgeik+D5//4ol+NvhAbQ3Wj9uWAS5KjMEIapDPsxuKDdubHE6hn1Cfg8O9+fXmBJIZMyI7djIEK4Nob7Cjxd2HgEA/MMprRO6Ke3+LcVmrbUhtDcm7ihm2xE4+QLDrY2Vls6oxRs3r8Z15xxn+bKPb67EI59Yhl9f9x7Ll51MXi/i+y2CENHYqHECVdRBiKQT6HzKMSoCXnx02Yysvu+zG+PlGAeyC0KIk4yQz+PY3Woj9Toygmhs1LjLMW45RlLw8IlPvwebvng+Vp/QlJoJUat/DvJ3rKEyYFzsdA9GjROviY4UnIgyj1qSAQjAfCCdrJkQmchBiLC/DLPq9eNSIhOiuNe53H9AjJAzghA5XAzL+4ReMTKYmRApjMaU8X3XUam5WK4ZjuL8aCjLTAi33zkuNmFbMyFEOYY5ADXREZ1ttSEoCjArKVtT3AxoqRm/lNTcnFIvyfjET/+KT92/Ea/t1X/O5TiiKAr+9b3zjZ9n1JdDURRjmt5k+D5PryvHWXMaxn9iDsR+dqygr3y3PFOwgvIngnX5NKYEEr1cRI9BcVNyVkMYp8XbGng9Ct5/0rQJLdf9W4oDREkGkH0QIrUcw70fZWCC480mYklbDeZMsT6SmqxJWi9z43+vZ0ifIy83BSzmiGpyyppTgS9xMbS3e8gYvZmOCEJ89rw58HqUjE1d7SDujvQNjZjuwIzXl0G+CzKzvhzHN1caQYbkIIRo6ipPx2gI+1AVSnSCF3f+/GWq7SVKpcg8orO4Pl/5zt7CaVVGw9iArzQyIWri25HXoxjbmkj9zKUhp7gb1zfETIixiCCE2LeLxsc1OTalBBJ3w5kJ4U7mcgz7MyFio4k+I9n2IGitDeHJ687CDz+y1PT4ufOn4L6PdZiCAGMRQYgtu4/hUF/EOE8RZRS5ZjEvaavBexfqJckiW3RGfL9V6hN4zphdj3KfB6fPrsv4nCXTpSBEEZ+3F5rY1gN5budGJkS/OROivTGM9504Ff4yFVd0TJ/wtBUekaE3lPnhMzsAJBr2jSclE6LITojdRg4OLZxWhb8dHsBgNIYDvUPGXe+KQFnRXZjIku/iOfVea8p9qCv34XD/MHYc7MfCeLMn2VA0hr3d+kF91YIpOHl6Tc5NzXJRYTShixp39BRl/Ls8cvBwxVzzXQF5X1Ad8hrBiSrpfdWH/djXM4RdGETPYNR4TjFPMSikgKkxZXGd6MkBFjEeFgBWL2jCS+8cwSoLe/q4keg/MKUyYIwjzicTwugTE4miLyJGdPNkN5kY4xYZGdUvFuOfeT6NUBM9IcYOQkQYhCgIUyaExQ2U0zUlPTYwbPRKmkhwa25T6g0uVVWwrL0+62WI85Ute3qwefcx6TXlP+r85osXYFpNEJct1RvxXXzSNGzadczUpLIUvffEqVhzQtOYk9dOloMQ7AlhGxFkzjcTQtyUO5yUCdHeGMacKRV47curoOZw441BCABLZ9SgIlCG3qGR7DMhPJMnE6IYyOtlRn05plT68c7hAezviRi9EYq5FANIvYvnZB+SuU0V+NPbh/Hq3m4sbKnCp+7fiO0H+vDA+tNQGfDib4cHoGl6Wl1tuc+W2dNjCRsXHCMYkiZjjJeNIGeTyBlRgP5exLix6bWJ5k2mcowKv/Fz92AUDUYvCu4P7FAMjSkzke9OLpICfWfNacBv5iwvxEtyVGOFvo9vqw0ZJ07igjiXetZwmkwINqZMJZcBDUZjxsVZPpkQ2Tem1K9M3dpTq1jJ+5p875AmS5cJcVgq8XF6XYsJGdv29+IvO44Yj4t9Sz4ZpXVhP/71gkRGxsq5jVh5fWkHIISxAhAA0N4QNq67qhy8YVVqxHEw33NSkYmZ3BNCTM/L9RqYe37oB8BrzpyJadVBnJllhFVRFFP0ngdRe8mNKWfWlxtzavf3DKF7oPibUgKpQQgnG/Mtjt+Z3fTuMRzoHcIvX9mLN7p68IuN+lQZMaZqZkO4IGUIFVJjSlGHnE3DLXE3Pej14NSZtabfKYpiZEOIyRiA+XtWHzYHIYzxnMyEsEUxjOjMJJQhE6JUnDO/EZ8+5zhsWDPPaJyXV08IIzAZS/SEYDlGCn+ZaozYHoiMGOUY6RqFZr/MCY7oZCaEo+TGlJZnQsTX5aAchBDjOQtQUtZUGUB92IfYqIaH/7rbeFx8z/PprUW5U1UFG9bMw0WLmrGopbrQL6doiUy3fBvQihuLh/qH0TMUNaYTzm7Mb0obt764fz53Dv644ey0Uxgy8XvkIERxnRC7TU3Ia9xdmVFXbkwx2d8zVBKTMYDUlDUnL8JOijcR2rjrKF7cedR4/P4XdkHTNOyI11nOtGHcUzZEmnVvvE8IkF1HfXEydkZ7fdrAgRhLJI+xCno9RiZUahBC/9t2TcYodaXQE6I+7MfUCRyHikXA68Fnz5uDE1uqEfTqn0W80i6n6RhGJkQkmugJwUyIFIqiGCeqA8MxozFlupGp2RJ33bId0TkZGvkVE3sbU6bLhNAvWOoKMGZYbk4pRv4CiSBEsQWzJ5MrOqbjux86iUFIG1UGx28Smo3EdIyI0aR+SqU/71IaHpHz4PeqiAeDuCOzmaIo+Pzqedh5qB/zp1YY5RkHeiNGFkqxByHKk+ZiO1kCJDIh3jrQh9+9sd94/PWuHmzZ0413RBCiPr+oaK7CUv334ARKIi5ePA37e4bwwVPa0v5+Rn05XtndjXlNlcZjiqKgKuTFwd4I6sM+o6nSsYFEY0qrx56RTk4dLrZ9bn2FfpBfOr2m5JuaJu/rcplxXiGVaPUzE2JMIZ9H/5yGR4wRnfmVY8QbU47TE2I4xkyIQgh6PQh6PRiMxoymzlZJBKAS697IhMiyKaXVFrZU4+mtB02PiSydYjuOEMmu6GhD79AI/v7klryWU18uekIMS6UY+Z/v84icBzl6X+rdcJ1w9Zkzjf+eUpnIhBAnlsUehCjzqMaJA+DsneCGCj9aaoLYfXQQv9y813jsYG8E97/wrtFxeqaDEzFklXI5RjT7coyGCj/+7b3HZ/z9F957PFYtaML5x08xPb522Qz8ecdhLGqtxsvv6pkhzISwX9Anj+gsrs94zQlTMTAcw4oSb2oGpJZf5JUJMTSCvgh7QozFGNM5HLNkOoZI8c96OgYzIRylKAq+9cHFODYwbPno3+AYPSEKNWZYZEKkU8YsZipi7Y0VuO0Di/JejgggDkZj2BIfd9ueZykGwCBEXuS7M94iOyF2OyMToididG0t9iAEoN/xF0EIp0uAFrdWY/fRQaOZ2JcvWoBP/PSveOil3RA3bpNnejslkXqdCELkcuGSrKHCjwviY7hkn1zZjk+ubAeA9D0h2JjSFqbpGEV28hjwenBFx/RCvwxXkMeVArk11RLN93ojI+wJMQ5TOcaAldMxxi7HEJkQ7KnlvNU2TdsR+2hRFgkkOuo73bBaOFFq9CvfyAGKr6yPyA4hnwcBr4qh6Che2Kk3eLUiE4J7/jzI0ftiOyF2O9FJfX9voidEKcwalu/kOT2iUPSFAPQI6JoT9AyBkVEN0ZgGj6pgRoGCECKltG9oxDjByHckUbZEEKJnMJrIwmBjSlsU83QMSrA8E2IoanqMzEQmxMDwCI72659VPo0p041pTIeNKYuPuDk3JAWgRIPZ+gKVY0ypDBhNpjtmmRtQF9uoZyI7KIpi9HR5c18vAGZCFBynYxSOKMc40BMxghDVJTDmp0I6iXY68LVY6tjfMbMWiqLgzitPxhtdvfjN6/swqyFcsJN88Xd7hkaME1+nJlQwE8I5xTwdgxKSMyFyCSjKPSFEOQYbU6YXNIIQMRyLZ0LUOjKiU2RCcFsuFiJrSQ5AiZ4QhSrHAIBPn92O/3ltP/5uSQv+IPWH4HGEKDv1YR/2HBs0fmYQosD8piAEd2ROmloVhEdV0BcZwZbden1SqZRjCE5H8Bc0V8LrURCNacY4S0VRcHxzJY5vrhzn/7ZXhdyYcrgwmRDdzISwHTMhSkMoadvNJaAoApMDwzEjUF3hL/5jRC5E0OfoQBT98f2nI40pjZHGDNoWi3Q9IazoM5KvK0+fgStPn4G/vnvU9LiTDb6JJjO5nCrsLzOmFOaDW18e5EwIpnQ5K+jz4Iz2egDAvp4hAKURhJBPop2O4Iua9QXNla5rnieCEEPRUfTEU6+DDmUjmDIhosyEsJNHVYwyON7BKl7JQYhcAopywPZgfIwVMyHSE593V/wul6rk18QzkQkxdhAiyukYRSfdiM7e+IhcN5yjVSZ9r3kcIcpOnZTJNLsxbMkULx6R82DKhOBB1HEXnjgVz2xLpNW54QBnN1MmRAGyb7500QLH/2Y2KgNe+DwqhmOjePfwAADnxmSK791gNGakfTtVClKKAl59PRfbdAxKCCU3pszh+Oov8xj7hFG9ly57QmQQio9EFam2NSEf1DwuzsS+NxIduxxDBClYzlo80pVjiBsDbphOkzySlBl1RNmRMyFmWzQJj3v+PJh6QnBH5rjzFzSZmoOWRBDC1BOCm6+gqgqaqvRmpW/Hx4VaMR0jGxUBL8Tm39WtZ+UwE8I+4q4472AVL3FRLORaWlWetBw3XAS5kQj67DqqB3Dz7a9kjOjMshyDmRDFQ5QiikyIaGwUA/ESn8pA4c/RkvcBLKUmyo7cWNaKfhAAgxB5ke928oLQeVVBL86a02D6udiZp2Pw4ClrrtaDEDsO9gFwLhPCoypoio+M3XFI/9vMhLCPWK+8g1W8UsoxctyWw0n7S/YeSE98vq/v7QGQ/+g1oxxjnEyIKEd0Fp1A0nSMvngpBuCOcqig12M6djCjjig79VImRLsF4zkBBiHyYuoJwWhqQVy4aKrx38lpdsWIQYjMmquCABL1p04FIQCgpSYEAHj7gJ6FwYsd+4gLJu5zi1dKOUauQQiph044UGZJDWsxEhkjomxl5bz8ev5k3ZiSPSGKjthWRYNoUYoR8nlcEWxSFIXnUUQ5qAube0JYofB7hElMvtDwuWDnWorOO34KTphWiQsWNpXEnVH5pJoXYWbN1UHTz041pgSAlhr9bw+K6RgOBkBKDTMhil9yJkSu25M80pj9IDILJgV9VsxtyPDM7CT6AoyTCTGiRz38PH8qGsk9IcRNATeUYgjya+F5FFF26sr1TAivR0FbbciSZfKonAdmQhReyFeGX33qPYV+GY4p5IhOt5saL8cQnBrRCSSCEAIzIeyzoLkSW/Z0W1aTSO7j9ahGU0kgcWEzUfL+kkGIzMqlfeW8pgpMrQqO8ezxjZcJccuv34CqKMb6ZWPv4mE0JY2XY/QMuqcppcBMCKKJm9tUgTUnNOG4KRWWZTW5Z68wCZl6QvCCkBxQ4S/sdAw3S86EcLQcIykqzEwI+3zl4hNw/aq5qC7gzHmyX9DnwfCgCELkWo6R2F+66SLIbeTMk3xLMYBEEHZkVMNIbNTUM6tnKIo7/3cHgMSNHGaSFo/EiE592xXlGJUu6tllCkLwu0eUFY+q4AcfPtnSZXLry4OP5RjksApmQmTUXFXAIAQzIRyjqgoDECVA3J33epSc77qUsxwjK3I5xsq5FgQhpMwVke0gdA9EE7/jiM6iE/Sap2P0GOUY7tn+5P5hLOsjKhzu+fPgZzkGOcxUjsHvnElzcjmGg0GI1hpzJgSDEET5EeVUgTwmzchB27CLatLdRlwgVgbKsKStOu/lyVmi4o64IO6My9iYsniI0qmRUQ3R2KhUjuGe7Y/lGETu4J7Q5CTEIAQ5Tb6bx4OnWUXAiwp/GXojzk/HaKoKQFUS3eVZjkGUHzEhI5BHb5cwMyGycmJLNa45cyZOnl5jSXq6R1Xg9SiIxjSjN4DQMziS8nwGbYuHfOwbisYSmRBB92x/5saU/O4RFYp79gqTEMsxyGny3QSWY6Rqrg5i6/5eAM5mQng9KqZWBbHn2CAAnlQT5Uv0Kci1KSXAnhDZ8qgKbnzf8ZYu01/mQTQ2gkgWmRAsxyge8rFvKDqK3iFmQhBRetzz58GcCcGPkuwnn1R7mX2TQp6QEfQ5u03KfSH8zIQgyosIQuQTTOR0jMIR50fJEzJEer6M5RjFQ1EUY90PRWNG5otbR3SyJwRR4XDPnwfTiE7uyMgBHlUxovhM+U8lj5bz51FLnosWqS9EPndviQgIxYMG+QQhKliOUTCJIERSOcZQajkGA+rFRfRz0csxxHQM92x/ciYEv3tEheOevcIkJF/kMJ2QnHLje4/HO4f7UyYyEDDNlAnhdBCicAEQomITigcf8skqMk3HYDmGo5JHNQq9bExZ9PRmslEXl2PImRD87hEVCo/KeRB9IFSFKV3knMtOaS30S3AtORPCyZ4QQHIQgic2RPkotyATQg48VDATwlG+TJkQ8fT89sYwth/o05/LmzhFRWQCDo3I5Rju2f7YE4LIHWzZ87/zzju45pprMHPmTASDQcyePRs33XQThoeH7fhzBSNmYbMfBJE7NFcnAgFOl6uYyzGYCUGUj6AFjSkrmAlRMCKDJVNjypVzG+AvUzGl0g9F4YVgMUlkwcTQGxHlGG7KhGAQgsgNbDkqv/nmmxgdHcWdd96J9vZ2vPrqq1i3bh36+/tx22232fEnC0JE773ciRG5QmutHoQI+TyOZyeJvw0wE4IoX+VGEIKNKSej8RpTTq8rx2OfPMPxjDWynwhADQ67NRNCHtHJ83eiQrFlr7B69WqsXr3a+HnWrFnYunUrfvCDHxRVEELsaL284CByhZaaEP7tgvmor/A5/rebq4JYNrsOZR7V6OxPRLlZPqcRP395N1YvaMp5GRzRWTjy3XBZolGhF/OnVjr+ush+wXj20mA0ZvSEcNd0DDkTgufvRIXi2FG5u7sbtbW1Yz4nEokgEokYP/f09Nj9svJSE9J3qlUuSjMjKnXrzppVkL+rqgruW3daQf42UbFZ2FKFP1y/Mq9llPvK4FEVxEY1V10ElYLMmRDuuzNO1hIBqMN9wxjV9Mfc1JhSLg1hPzeiwnHkKLB9+3bcfvvt42ZB3HLLLfjyl7/sxEuyxPS6cnzrg4vQVlte6JdCREREElVVsGH1PBzuH0ZjZWD8/4Esk3lEp/umJZC16sN+AMDWfb0A9DGYbhpb7S9T4fUoiMY0lmMQFdCE9gobNmyAoihj/nvzzTdN/8+ePXuwevVqfOADH8C6devGXH5nZye6u7uNf7t27Zr4O3LY+09qwcnTawr9MoiIiCjJurNmYcOaeYV+GSVHjClOzoToHdIzIaqCzIQoVvOaKgAAL75zBIBeiuGm5qOKomBadRCKAtSGnC/dJCLdhI4Cn/vc57B27doxnzNrViIVeu/evVi5ciWWLVuGH/7wh+Mu3+/3w+/3T+QlEREREZGLGGMapZ4Qo6OaK3sEkLXmNem9PnYc6gfgzn4s/++jS3GgJ8IMKaICmtCeoaGhAQ0NDVk9d8+ePVi5ciVOPvlk/PjHP4bK5i9ERERERS9dJkT/8IjRI8BNIxvJWnPjmRCCG9d1e2MF2hsrxn8iEdnGlvDknj17sGLFCkyfPh233XYbDh48aPyuqSn3TtdERERE5G7+eCZEJJoIQvTESzF8HpVjjItYQ4Uf9WEfDvUNA2DWCxGlZ0sQ4qmnnsL27duxfft2tLS0mH6naZodf5KIiIiIXCBdY8qeQTGes8xVPQLIenObKnBo+2EA7izHIKLCsyUUvXbtWmialvYfERERERUvMaZxSM6EGORkjFIh+kIAzIQgovSYD0dERERElkmXCSEmY1TyznjRk/tCMBOCiNJhEIKIiIiILJOuMWWPmIzhwkaFZK35ciYE1zcRpcEgBBERERFZJpEJkVqOwfT84nfclDDUeNsPZr4QUToMQhARERGRZRLTMaTGlKIcI8iL0mIX8Howo74cAHuAEFF6DEIQERERkWUC8XKMIWZClKwPLm1FS00Qp86sLfRLISIXYjiaiIiIiCyTPhOCPSFKyfrls7F++exCvwwicilmQhARERGRZURjymEpE0JMx+C0BCIiYhCCiIiIiCyTtjHlEMsxiIhIxyAEEREREVkm4I33hJDLMQbZmJKIiHQMQhARERGRZZgJQUREY2EQgoiIiIgsYzSmHJEzIdiYkoiIdAxCEBEREZFlRGPKaExDbFSDpmlsTElERAYeCYiIiIjIMgFv4h5XZCQGVVEwMqoBAEI+nnoSEZU6HgmIiIiIyDI+jxSEiI6afhfyeZx+OURE5DIMQhARERGRZco8KspUPfshMjKKmKZnQfg8KrweVgITEZU6HgmIiIiIyFKJCRkxDA7r/SCCzIIgIiIwCEFEREREFgt49YDDUHQU/RF9SkY5gxBERAQGIYiIiIjIYiITYigaw8CwHoRgJgQREQEMQhARERGRxQLxgMNgNIbBqF6OwckYREQEsDElEREREVmswq+fYvYNjWBohJkQRESUwCAEEREREVmqPB6E6B8eMcZ0sicEEREBDEIQERERkcVEEKIvMoLoiB6EYDkGEREBDEIQERERkcXCIhMiMoKRUQ0AyzGIiEjHIAQRERERWarcrwcc+iIxaJoehAgxCEFERGAQgoiIiIgsVi5lQsRjECzHICIiAAxCEBEREZHFwr5EEEJR9MeYCUFERACDEERERERkMbkxpUfVoxAMQhAREcAgBBERERFZLBxIZEKUeVQAbExJREQ6BiGIiIiIyFJhKRPCX6YHH8rZE4KIiMAgBBERERFZLFGOEeOITiIiMmEQgoiIiIgsFY6P6NSnY+j/zZ4QREQEMAhBRERERBaTR3QKDEIQERHAIAQRERERWUz0f+iLjEBRxHQMnnYSERGDEERERERkMdGYMjIyCm0oCoCZEEREpFML/QKIiIiIqLiIcgwAGB4ZBcDGlEREpGMQgoiIiIgs5StT4fOYTzNZjkFERACDEERERERkg3DAHHQIepkJQUREDEIQERERkQ3K/YmgQ8CrwqMqBXw1RETkFgxCEBEREZHlyqXyC5ZiEBGRwCAEEREREVkuLDWnZCkGEREJDEIQERERkeXkCRlyaQYREZU2BiGIiIiIyHKmTAiWYxARURyDEERERERkOTn7IcRyDCIiirM9CBGJRLB48WIoioJNmzbZ/eeIiIiIyAXkcoyQj0EIIiLS2R6EuOGGG9Dc3Gz3nyEiIiIiF5HLMUJ+lmMQEZHO1iDEr3/9a/zmN7/BbbfdZuefISIiIiKXMQUhWI5BRERxtoWl9+/fj3Xr1uGxxx5DKBTK6v+JRCKIRCLGzz09PXa9PCIiIiKyUbmpMSWDEEREpLMlE0LTNKxduxbXXnstli5dmvX/d8stt6Cqqsr419raasfLIyIiIiKbhdkTgoiI0phQEGLDhg1QFGXMf2+++SZuv/129Pb2orOzc0IvprOzE93d3ca/Xbt2Tej/JyIiIiJ3kDMhytkTgoiI4iZ0RPjc5z6HtWvXjvmcWbNm4fe//z2ef/55+P1+0++WLl2KK664AnfffXfa/9fv96f8P0REREQ0+cgjOoPsCUFERHETCkI0NDSgoaFh3Od997vfxVe/+lXj571792LVqlV44IEH0NHRMfFXSURERESTCssxiIgoHVty49ra2kw/h8NhAMDs2bPR0tJix58kIiIiIhdhY0oiIkrH1hGdRERERFSa5EyIch97QhARkc6RI8KMGTOgaZoTf4qIiIiIXKCc5RhERJQGMyGIiIiIyHIhrweKov83yzGIiEhgEIKIiIiILKeqilGSEeaITiIiiuMRgYiIiIhs8cmV7di6rxezG8KFfilEROQSDEIQERERkS2uXT670C+BiIhchuUYREREREREROQIBiGIiIiIiIiIyBEMQhARERERERGRIxiEICIiIiIiIiJHMAhBRERERERERI5gEIKIiIiIiIiIHMEgBBERERERERE5oqzQL2AsmqYBAHp6egr8SoiIiIiIiIgoE3HdLq7jM3F1EKK3txcA0NraWuBXQkRERERERETj6e3tRVVVVcbfK9p4YYoCGh0dxZw5c/Dyyy9DURRLl93T04PW1lbs2rULlZWVli5bOOWUU/Diiy9y2Q4t3+51ys/c2WVzGy3Msu1cPrfRwix/sq5PYHJ+LpN52dxGC7N8bqNcdra4jRZm+ZN1Gy3EZ65pGnp7e9Hc3AxVzdz5wdWZEKqqwufzjRlFyVdlZaVtO2aPx8NlF2D5dq1TfubOLxvgNur0sp1YPrdRZ5c/WdcnMHk/l8m6bIHbqLPL5zbKZU8Ut1Fnlz9Zt9FCfebZXLu7vjHlJz/5yUK/hJzZ+don67KdWL5d+Jk7v2y7TdbPZTJ/X+zEz9z5Zdttsn4uk3XZdpvMn8tkfu12mqyfy2Rdtt0m8+cymV+7Xdz8mbu6HMNOPT09qKqqQnd3t+3RSnIG12lx4fosPlynxYXrs/hwnRYXrs/iw3VaXEp5fbo+E8Iufr8fN910E/x+f6FfClmE67S4cH0WH67T4sL1WXy4TosL12fx4TotLqW8Pks2E4KIiIiIiIiInFWymRBERERERERE5CwGIYiIiIiIiIjIEQxCEBEREREREZEjGIQgIiIiIiIiIkdM6iDEM888gwsvvBDNzc1QFAWPPfaY6ff79+/H2rVr0dzcjFAohNWrV+Ott95KuyxN07BmzZq0y/nd736HZcuWoaKiAk1NTfj85z+PkZERm95VabNina5YsQKKopj+XXvttWn/3uHDh9HS0gJFUXDs2DGb3lXpcmp9cht1jlX73eeffx5nn302ysvLUVlZibPOOguDg4Mpz4tEIli8eDEURcGmTZtselely6n1+de//hXnnXceqqurUVdXh49//OPo6+uz++2VpHzX6TvvvJOyzxX/HnrooZS/x+OovZxanzyOOseK/e6+fftw5ZVXoqmpCeXl5ViyZAkefvjhtH+Px1F7ObU+i+04OqmDEP39/Vi0aBHuuOOOlN9pmoZLLrkEO3bswC9+8Qts3LgR06dPx7nnnov+/v6U53/729+Goigpj7/yyiu44IILsHr1amzcuBEPPPAAHn/8cWzYsMGW91TqrFqn69atQ1dXl/HvG9/4Rtq/d8011+DEE0+05b2QM+uT26izrFinzz//PFavXo3zzz8fL7zwAl588UX80z/9E1Q19ZB0ww03oLm52db3VMqcWJ979+7Fueeei/b2dvzlL3/Bk08+iddeew1r16516m2WlHzXaWtrq2l/29XVhS9/+csIh8NYs2ZNyjJ5HLWXE+uTx1FnWbHf/chHPoKtW7fi8ccfx5YtW3DppZfisssuw8aNG1OWyeOovZxYn0V5HNWKBADt0UcfNX7eunWrBkB79dVXjcdisZjW0NCg/ed//qfp/924caM2bdo0raurK2U5nZ2d2tKlS03Pf/zxx7VAIKD19PTY8l5Il+s6Xb58uXbdddeNu/zvf//72vLly7Xf/e53GgDt6NGjFr56SmbX+uQ2Wji5rtOOjg7tC1/4wrjLf+KJJ7R58+Zpr732mgZA27hxo5Uvn5LYtT7vvPNOrbGxUYvFYsZjmzdv1gBob731lrVvgkzyOTeSLV68WLv66qtTHudx1Fl2rU8eRwsn13VaXl6u3XPPPaZl1dbWpqx3HkedZdf6LMbj6KTOhBhLJBIBAAQCAeMxVVXh9/vx3HPPGY8NDAzg8ssvxx133IGmpqa0y5GXAQDBYBBDQ0N4+eWXbXr1lE626xQAfvrTn6K+vh4nnHACOjs7MTAwYPr966+/jptvvhn33HNP2ruvZD+r1ie3UffIZp0eOHAAf/nLX9DY2Ihly5ZhypQpWL58eco6379/P9atW4d7770XoVDIuTdBBqvWZyQSgc/nM+1rg8EgAKSsd7LXRPa7wssvv4xNmzbhmmuuMT3O42jhWbU+eRx1j2zX6bJly/DAAw/gyJEjGB0dxc9+9jMMDQ1hxYoVxnN4HC08q9ZnMR5Hi/aoMW/ePLS1taGzsxNHjx7F8PAwvv71r2P37t3o6uoynveZz3wGy5Ytw8UXX5x2OatWrcKf/vQn3H///YjFYtizZw9uvvlmADAth+yX7Tq9/PLL8ZOf/ARPP/00Ojs7ce+99+LDH/6w8ftIJIIPfehDuPXWW9HW1laIt0Kwbn1yG3WPbNbpjh07AABf+tKXsG7dOjz55JNYsmQJzjnnHKNGUtM0rF27Ftdeey2WLl1asPdT6qxan2effTb27duHW2+9FcPDwzh69KiR5s1t1FnZ7ndld911F+bPn49ly5YZj/E46g5WrU8eR90j23X64IMPIhqNoq6uDn6/H+vXr8ejjz6K9vZ2ADyOuoVV67MYj6NFG4Twer145JFHsG3bNtTW1iIUCuHpp5/GmjVrjCjS448/jt///vf49re/nXE5559/Pm699VZce+218Pv9mDNnDi644AIAYOTfYdmsUwD4+Mc/jlWrVmHhwoW44oorcM899+DRRx/F22+/DQDo7OzE/PnzTRey5Dyr1ie3UffIZp2Ojo4CANavX4+rrroKJ510Er71rW9h7ty5+NGPfgQAuP3229Hb24vOzs6CvReybn0uWLAAd999N775zW8iFAqhqakJM2fOxJQpU7iNOizb/a4wODiI++67LyULgsdRd7BqffI46h7ZrtMbb7wRx44dw29/+1u89NJL+OxnP4vLLrsMW7ZsAcDjqFtYtT6L8jha6HoQqyCpBkd27Ngx7cCBA5qmadqpp56qfeITn9A0TdOuu+46TVEUzePxGP8AaKqqasuXLzctY3R0VNuzZ482MDCgvf766xoA7YUXXrDzLZW8XNZpOn19fRoA7cknn9Q0TdMWLVqkqapqrHNVVTUAmsfj0b74xS9a/j5IZ9f6FLiNOi+Xdbpjxw4NgHbvvfeann/ZZZdpl19+uaZpmnbxxRebtlGxb/Z4PNpHPvIR+95QibNrfcr27dun9fb2an19fZqqqtqDDz5o7Zsgk3z3u/fcc4/m9XqN5wk8jhaGXetT4HHUebms0+3bt6f0GdA0TTvnnHO09evXa5rG42ih2LU+ZcVyHC1zMN5RMFVVVQCAt956Cy+99BK+8pWvAAA2bNiAj33sY6bnLly4EN/61rdw4YUXmh5XFMXoLHv//fejtbUVS5YsceDVUzqZ1mk6YhzR1KlTAQAPP/ywaXTciy++iKuvvhrPPvssZs+ebd+LpozyWZ8Ct1F3ybROZ8yYgebmZmzdutX0/G3bthmd2r/73e/iq1/9qvG7vXv3YtWqVXjggQfQ0dHh0DsgWT7rUzZlyhQAwI9+9CMEAgGcd955Nr9yyiSb/e5dd92Fiy66CA0NDabHeRx1n3zWp8DjqLtkWqeiL1byHXCPx2Nkp/E46j75rE9ZsRxHJ3UQoq+vD9u3bzd+3rlzJzZt2oTa2lq0tbXhoYceQkNDA9ra2rBlyxZcd911uOSSS3D++ecDAJqamtI2o2xra8PMmTONn2+99VasXr0aqqrikUcewde+9jU8+OCD8Hg89r/JEpPvOn377bdx33334YILLkBdXR02b96Mz3zmMzjrrLOMEWLJJ0iHDh0CAMyfPx/V1dXOvNES4cT6BLiNOinfdaooCq6//nrcdNNNWLRoERYvXoy7774bb775Jn7+858DQEqNeTgcBqBvuy0tLQ6909LgxPoEgO9973tYtmwZwuEwnnrqKVx//fX42te+xn2uDfJdp8L27dvxzDPP4Iknnkj5GzyOOseJ9QnwOOqkfNfpvHnz0N7ejvXr1+O2225DXV0dHnvsMTz11FP41a9+BYDHUSc5sT6BIjyOFjoVIx9PP/20BiDl30c/+lFN0zTtO9/5jtbS0qJ5vV6tra1N+8IXvqBFIpExl4k0aTQrV67UqqqqtEAgoHV0dGhPPPGETe+I8l2n7777rnbWWWdptbW1mt/v19rb27Xrr79e6+7uHvdvcrSY9Zxan9xGnWPVfveWW27RWlpatFAopJ1++unas88+m/Fv7ty5k6PFbOLU+rzyyiu12tpazefzaSeeeGLKKDKyjlXrtLOzU2ttbTWNhBvvb/I4aj2n1iePo86xYp1u27ZNu/TSS7XGxkYtFAqNu1/lcdQ+Tq3PYjuOKpqmaVYHNoiIiIiIiIiIkk3SdppERERERERENNkwCEFEREREREREjmAQgoiIiIiIiIgcwSAEERERERERETmCQQgiIiIiIiIicgSDEERERERERETkCAYhiIiIiIiIiMgRDEIQERERERERkSMYhCAiIiIiIiIiRzAIQURERERERESOYBCCiIiIiIiIiBzBIAQREREREREROeL/A5MM6YCbipbgAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the dataset\n", "filardo = requests.get(\"http://econ.korea.ac.kr/~cjkim/MARKOV/data/filardo.prn\").content\n", "dta_filardo = pd.read_table(\n", " BytesIO(filardo), sep=\" +\", header=None, skipfooter=1, engine=\"python\"\n", ")\n", "dta_filardo.columns = [\"month\", \"ip\", \"leading\"]\n", "dta_filardo.index = pd.date_range(\"1948-01-01\", \"1991-04-01\", freq=\"MS\")\n", "\n", "dta_filardo[\"dlip\"] = np.log(dta_filardo[\"ip\"]).diff() * 100\n", "# Deflated pre-1960 observations by ratio of std. devs.\n", "# See hmt_tvp.opt or Filardo (1994) p. 302\n", "std_ratio = (\n", " dta_filardo[\"dlip\"][\"1960-01-01\":].std() / dta_filardo[\"dlip\"][:\"1959-12-01\"].std()\n", ")\n", "dta_filardo[\"dlip\"][:\"1959-12-01\"] = dta_filardo[\"dlip\"][:\"1959-12-01\"] * std_ratio\n", "\n", "dta_filardo[\"dlleading\"] = np.log(dta_filardo[\"leading\"]).diff() * 100\n", "dta_filardo[\"dmdlleading\"] = dta_filardo[\"dlleading\"] - dta_filardo[\"dlleading\"].mean()\n", "\n", "# Plot the data\n", "dta_filardo[\"dlip\"].plot(\n", " title=\"Standardized growth rate of industrial production\", figsize=(13, 3)\n", ")\n", "plt.figure()\n", "dta_filardo[\"dmdlleading\"].plot(title=\"Leading indicator\", figsize=(13, 3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time-varying transition probabilities are specified by the `exog_tvtp` parameter.\n", "\n", "Here we demonstrate another feature of model fitting - the use of a random search for MLE starting parameters. Because Markov switching models are often characterized by many local maxima of the likelihood function, performing an initial optimization step can be helpful to find the best parameters.\n", "\n", "Below, we specify that 20 random perturbations from the starting parameter vector are examined and the best one used as the actual starting parameters. Because of the random nature of the search, we seed the random number generator beforehand to allow replication of the result." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:31.098013Z", "iopub.status.busy": "2022-11-02T17:07:31.096845Z", "iopub.status.idle": "2022-11-02T17:07:36.948124Z", "shell.execute_reply": "2022-11-02T17:07:36.947403Z" } }, "outputs": [], "source": [ "mod_filardo = sm.tsa.MarkovAutoregression(\n", " dta_filardo.iloc[2:][\"dlip\"],\n", " k_regimes=2,\n", " order=4,\n", " switching_ar=False,\n", " exog_tvtp=sm.add_constant(dta_filardo.iloc[1:-1][\"dmdlleading\"]),\n", ")\n", "\n", "np.random.seed(12345)\n", "res_filardo = mod_filardo.fit(search_reps=20)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:36.954300Z", "iopub.status.busy": "2022-11-02T17:07:36.953064Z", "iopub.status.idle": "2022-11-02T17:07:36.973812Z", "shell.execute_reply": "2022-11-02T17:07:36.973263Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: dlip No. Observations: 514
Model: MarkovAutoregression Log Likelihood -586.572
Date: Wed, 02 Nov 2022 AIC 1195.144
Time: 17:07:36 BIC 1241.808
Sample: 03-01-1948 HQIC 1213.433
- 04-01-1991
Covariance Type: approx
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Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const -0.8659 0.153 -5.658 0.000 -1.166 -0.566
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Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 0.5173 0.077 6.706 0.000 0.366 0.668
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Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.4844 0.037 13.172 0.000 0.412 0.556
ar.L1 0.1895 0.050 3.761 0.000 0.091 0.288
ar.L2 0.0793 0.051 1.552 0.121 -0.021 0.180
ar.L3 0.1109 0.052 2.136 0.033 0.009 0.213
ar.L4 0.1223 0.051 2.418 0.016 0.023 0.221
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0].tvtp0 1.6494 0.446 3.702 0.000 0.776 2.523
p[1->0].tvtp0 -4.3595 0.747 -5.833 0.000 -5.824 -2.895
p[0->0].tvtp1 -0.9945 0.566 -1.758 0.079 -2.103 0.114
p[1->0].tvtp1 -1.7702 0.508 -3.484 0.000 -2.766 -0.775


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "================================================================================\n", "Dep. Variable: dlip No. Observations: 514\n", "Model: MarkovAutoregression Log Likelihood -586.572\n", "Date: Wed, 02 Nov 2022 AIC 1195.144\n", "Time: 17:07:36 BIC 1241.808\n", "Sample: 03-01-1948 HQIC 1213.433\n", " - 04-01-1991 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.8659 0.153 -5.658 0.000 -1.166 -0.566\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.5173 0.077 6.706 0.000 0.366 0.668\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.4844 0.037 13.172 0.000 0.412 0.556\n", "ar.L1 0.1895 0.050 3.761 0.000 0.091 0.288\n", "ar.L2 0.0793 0.051 1.552 0.121 -0.021 0.180\n", "ar.L3 0.1109 0.052 2.136 0.033 0.009 0.213\n", "ar.L4 0.1223 0.051 2.418 0.016 0.023 0.221\n", " Regime transition parameters \n", "=================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "---------------------------------------------------------------------------------\n", "p[0->0].tvtp0 1.6494 0.446 3.702 0.000 0.776 2.523\n", "p[1->0].tvtp0 -4.3595 0.747 -5.833 0.000 -5.824 -2.895\n", "p[0->0].tvtp1 -0.9945 0.566 -1.758 0.079 -2.103 0.114\n", "p[1->0].tvtp1 -1.7702 0.508 -3.484 0.000 -2.766 -0.775\n", "=================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_filardo.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we plot the smoothed probability of the economy operating in a low-production state, and again include the NBER recessions for comparison." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:36.978416Z", "iopub.status.busy": "2022-11-02T17:07:36.977283Z", "iopub.status.idle": "2022-11-02T17:07:37.276044Z", "shell.execute_reply": "2022-11-02T17:07:37.275309Z" } }, "outputs": [ { "data": { "text/plain": [ "[Text(0.5, 1.0, 'Smoothed probability of a low-production state')]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 3))\n", "\n", "ax.plot(res_filardo.smoothed_marginal_probabilities[0])\n", "ax.fill_between(usrec.index, 0, 1, where=usrec[\"USREC\"].values, color=\"gray\", alpha=0.2)\n", "ax.set_xlim(dta_filardo.index[6], dta_filardo.index[-1])\n", "ax.set(title=\"Smoothed probability of a low-production state\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the time-varying transition probabilities, we can see how the expected duration of a low-production state changes over time:\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:37.279645Z", "iopub.status.busy": "2022-11-02T17:07:37.279302Z", "iopub.status.idle": "2022-11-02T17:07:37.658454Z", "shell.execute_reply": "2022-11-02T17:07:37.657633Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_filardo.expected_durations[0].plot(\n", " title=\"Expected duration of a low-production state\", figsize=(12, 3)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "During recessions, the expected duration of a low-production state is much higher than in an expansion." ] } ], "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }