{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Mining\n", "\n", "## Lab 2: Naive Bayes dan Decision Trees\n", "\n", "Anda akan mengenal dua jenis distribusi yang digunakan dalam algoritma Naive Bayes: Gaussian dan Bernoulli. Untuk memberikan gambaran lebih jauh, dalam praktikum ini Anda juga akan melihat bagaimana menggambarkan kurva distribusi bivariate Gaussian, i.e. Gaussian dengan dua variabel. Selain itu, Anda juga akan mengeksplorasi bagaimana mencocokkan nilai Maximum Likelihood Estimation (MLE) dari kedua distribusi tersebut, lalu menggunakan asumsi *conditional independence* untuk membentuk algoritma Naive Bayes.\n", "\n", "Sebelum masuk ke dalam algortima decision trees, Anda akan mempelajari bagaimana melakukan transformasi data dengan *one-hot-encoding* atau *one-of-K encoding* sehingga dapat digunakan untuk berbagai algoritma *machine learning*. Untuk memastikan bahwa algoritma *machine learning* yang Anda gunakan memberikan kinerja yang optimal, Anda juga akan belajar untuk melakukan *hyperparameter tuning*. Terakhir, Anda juga diminta membuat kurva ROC sebagai alternatif dari pengukuran kinerja model yang dibentuk dengan *machine learning*.\n", "\n", "## Daftar isi\n", "\n", "- [Gaussian Naive Bayes](#Gaussian-Naive-Bayes)\n", "- [Bernoulli Naive Bayes](#Bernoulli-Naive-Bayes)\n", "- [Decision Trees](#Decision-Trees)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "from scipy.stats import norm\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import warnings\n", "%matplotlib inline\n", "\n", "plt.style.use('ggplot')\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "RANDOM_STATE = 91" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gaussian Naive Bayes" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = sns.load_dataset('iris')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "virginica 50\n", "setosa 50\n", "versicolor 50\n", "Name: species, dtype: int64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.species.value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting Gaussian MLE" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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petal_lengthpetal_width
meanstdminmaxmeanstdminmax
species
setosa1.4620.1736641.01.90.2460.1053860.10.6
versicolor4.2600.4699113.05.11.3260.1977531.01.8
virginica5.5520.5518954.56.92.0260.2746501.42.5
\n", "
" ], "text/plain": [ " petal_length petal_width \n", " mean std min max mean std min max\n", "species \n", "setosa 1.462 0.173664 1.0 1.9 0.246 0.105386 0.1 0.6\n", "versicolor 4.260 0.469911 3.0 5.1 1.326 0.197753 1.0 1.8\n", "virginica 5.552 0.551895 4.5 6.9 2.026 0.274650 1.4 2.5" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Membuang elemen yang tidak kita gunakan\n", "del df['sepal_length']\n", "del df['sepal_width']\n", "# Menghitung nilai MLE mean dan std untuk distribusi Gaussian petal_length dan petal_width\n", "df.groupby('species').aggregate(['mean', 'std', 'min', 'max'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perhitungan rata-rata dan variansi dari r.v. `petal_length` dan `petal_width` untuk distribusi Gaussian dapat dilakukan dengan:\n", "$$\n", "\\hat{\\mu}_{l,setosa} = \\frac{1}{50} \\sum_{i;y=setosa} l_i\n", "$$\n", "$$\n", "\\hat{\\sigma}_{l,setosa}^2 = \\frac{1}{50} \\sum_{i;y=setosa} (l_i - \\hat{\\mu}_{l,setosa})^2\n", "$$\n", "$$\n", "\\hat{\\mu}_{w,setosa} = \\frac{1}{50} \\sum_{i;y=setosa} w_i\n", "$$\n", "$$\n", "\\hat{\\sigma}_{w,setosa}^2 = \\frac{1}{50} \\sum_{i;y=setosa} (w_i - \\hat{\\mu}_{w,setosa})^2\n", "$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(15,7))\n", "sns.distplot(df[df.species == 'setosa'].petal_length, kde=False, fit=norm, hist=False, fit_kws={'color': 'g'}, ax=ax[0])\n", "ax[0].set_ylabel('density')\n", "ax[0].set_title('Fitting Gaussian dengan modul seaborn')\n", "\n", "ax[1].set_title('Fitting MLE Gaussian secara manual')\n", "x = np.linspace(0.7, 2.2, 300) # membuat nilai dari [0.7, 2.2] yang dibagi menjadi 300 titik\n", "mu_setosa = df[df.species == 'setosa'].petal_length.mean()\n", "std_setosa = df[df.species == 'setosa'].petal_length.std()\n", "ax[1].plot(x, norm.pdf(x, mu_setosa, std_setosa), color='b')\n", "ax[1].set_xlabel('petal_length')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "s = df[df.species == 'setosa']\n", "ve = df[df.species == 'versicolor']\n", "vi = df[df.species == 'virginica']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3D Plot untuk Setosa (Bivariate Gaussian)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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EQe/xw3uylo0D38Vxf9Ag9sf6MEzRpTB80O5lf9NaNKCICJIkQRzHKwtRROQX3wPBeUJWkiQrCVm+910VsA8HMUytD8MUbbXzljen8+kPUe12G4eHh2v7vVW3SEDlAICouqaFrP7DiPtD1nDhi1kYBBbHPhzE/lgfhinaSgxR01104C8iSNMUURStNUQRkV8u0+CtDFnD+kNWmqa996Lhwhf938uB7+LYh4M4M7U+DFO0VTYVony7gZ83TPWHqFarxRA1w7wzUz7MvBHNwuu4a1LIKoteDIesoigQhiGiKIJz7twHmtMghodBl31v+DoxTNFWuOhBu8tWhpNtuXEppZCmKYIgQKvVQrPZ3HSTKm9b/vZEtBqTlvwFQYCDgwMEQYA4jgdCVv+eLIas6bbpPXgZWCp+fRimyFuLHLS7bL6FqUkzU8MhqtFobKB1RJvny2uZ/FcUBay1OD09HRj8lrNYURShVqsxZNGFlAdX0+oxTJF3ln1G1DL4Xr5ba91bdtJsNhmi5uD7NUAP8e9I6zbuw7gyNLXb7YGvl5UFx4Ws/sIXHEhfbj59wOs7hinyRhVDlO+01qjVahARtFot5Hm+6SYREV06Fxn4TlsuWIaser0OrTWccwMBK89zLv26JLiHbH0YpqjyfDho17dZibJQR71eR7PZXMkhlEREtD7jQlb5IWS5XLAMWdbagdLtDFnbh2FqfRimqLJ8OmjXlzAVBAFqtRqcc7DW4vj4eNNNOpcq/+1LvlwDRHR5lDNTw6sO+kNWHMdjQ1Y5o8UBuZ+4zG99GKaocnw8I6rqA+kwDJGmKZxzaDQaMMbg4OBg080iIqIN6A9ZrVar9/X+kFUeRNwfsvqXDFYpZLFy3SjOTK0PwxRVhtYau7u7aLfb3t0AqhqmwjBErVaDMaYXonzkS7XEKl4DRETnNStkhWGIJEkQhmFvsF6FkFXlbQCb4sN75rZgmKKN65+JUkp5OSCtWpiKoghpmsIYg5OTk7Fvbr7dZKv+xlDlthERLWLacsEwDHszWf0ha7jwxSrvkVV/f9gEzkytD8MUbcy4g3arFkrOyzlXifOuyhBVFMXEEFXyZbYHuBxBxZe/BRFRyTmHLMuQZdnA1/tDVpqm2N3dXWnI4v1zEPtjvRimaK1mHbTra5gCNrvEK45jJElyrhDlq6pfF4tcuyKCKIqQ57m3SzGJiEqTQpZSqrcnqz9kGWNGCl9cJAxwFmYQw9R6MUzRWpz3jChfw9SmblpxHCNNU2RZhuPj4wu1gzNTmyciqNVqCIIAnU4HaZoiCIKBs2FYUYtou/lyH14Ga+3UkFXu8y1XrpQhq382a1xfXaY+PA+Gy/VimKKVuuhBuz6HqXW2O0kSJEmCLMtwdHQ015uIT33tU1vPQ0SQpinCMESr1UKj0RgITMMVtcbtQ7jop7c+hecqYD/RuvB1uXjIYh8OYkGO9WKYopUYPiPqvKqy9+ii1jXYL0NUp9OZO0TR6sy6BsoQFUURWq0Wms3m2MdNqqg1PLAIwxAiMrI8hocwL2abgvu6cDA7P/bdZNNCVrknq1arIY5jAN3VGv33wYsuF9wWLBW/XgxTtFTzhqiSrzMQq2y3iCBJEsRxjHa7jcPDw6X8XJ/62qe2jjMcoub9G04aWGitB8oWB0H31t4fsoiomhimLs5ai06ng06nAwDY2dlBURTIsqwXsur1em9lTH+4KsPWNuMyv/VimKKlWNZBu74OmlfR7v4B+DJDVMnXvvbJskLULMYYGGN6A4tSuVQwiiIEQYDr169zPxatDAPB/Nh3iykD6XDIKpUfOAVBgJ2dna0PWQzo68UwRQtZVogqWWu9HOAvM5isawBe/i4f+Bb81vk3nKYcJLTbbYRhiMPDQzjnJh6+WS4tvMzLY2g+Pr0+q4Z9t7hZ4WHSB079s/pxHPdm9ccVvvAJZ6bWi2GK5rLsEFXybdC8TEqpgaIEqx6Ac6C8GrVabeMhappJh29yPxYtiveU+XAWYXHz7hGaFrL6DyP2LWQxTK0XwxRdyLiDdpfJ5zA1b7vLEBUEQa+y2zr41NdVb2u5r01rDWNMJUPULIvsxyqKgudjXXJVfn1WHcPU4pZdva4MWcOmhazhwhebxAIU68UwRTPNOmh3mao+aF4mpRRqtRq01msNUaXL1NerMlwcZNwnnFUx70Bj2n6sMAwRRRHq9Tq01rDWDgSsPM85SLxE+LeeD8PU4tbVh5NCVrkfqzyMuFy5M7wna10fOnFmar0Ypmiii54Rtczfu8201r2bbbPZZKW1c6ha8JtUYTFJkg23bLpl9uG4T1/Le0Y5i7W7u3uhgzfJX1V6ffqGYWpxm+7DSbNRZcAKw3CtIWvT/XHZMEzRiE2FqG2ntUatVoOIoNVqbTxE+Xqm1yatqkx9+bN9d5H9WIA/+w+IVokD38VVtQ/7iwD1mxWyFl0+zZmp9WKYop5Fz4i67CbdyMtpfxFBs9mszICxarM901Qh+KVpupIQdRkssh8rz3MOCjxQ1cGsL9h3l8u0kFUuny63AZSP7//QaVbIYphaL4YpYohakjKclG+K5cnszjk0m01u0PfUtoSoKobnKu/H4uCW1oVBlErTlgv2h6wgCOCc690LT09PcXR0hP39fYjIUq+p3/3d38Uf/MEfAAAee+wxfOADH+itLqAuhqlLbFXlzRfl65tKOVgtZ6Kcc2g0GpUNUVUcXE+yibbOE6J8vXarZtP7sXx5XVQJA8H82Hc0y7R7YhAEOD4+xsc//nE8ePAAURThiSeewN7eHh599FE89thjvZB1UYeHh/jUpz6FH/qhH0IURfjIRz6Cz3zmM/iWb/mWZT21rcAwdQlVNUSVhmd4fKGUwu7uLowxlQ5RJZ/CFLC+AW6SJEiSxPuZqG3D87FoW/n4fkeb139P3N/fx/d+7/cCALIsQ1EUeO655/DCCy/g05/+NA4PDxHHMW7evImnnnoK3/RN33Tu31Me6K61RpZl2N/fX9Ez8hfD1CVS9RBV8i1MRVHU2xPVaDQ2XlhiG63jWihDVKfTWShEVfXarWKblmHafqzyPJhJG7y5H2t5qnrd+4B9txj236AkSXDjxg3UarWBr7fbbdy5c+dCH/QeHBzg277t2/CjP/qjCMMQTz31FJ566qllN9l7DFOXwKoP2l02X2ZMyhBVFAVOTk56S/t84Us/A6tt67JCFFD9wOLL33sZpp0HM2s/1mXqJ9o8hoHFsP8GTSo+kSQJXv/611/oZzWbTTz33HP44R/+YaRpil/8xV/Es88+i7e//e3Lau5WYJjaUus8aHfZqj7Ij+MYaZoiyzIcHx/3buJVb/cw39q7bMsMUeSP8+zHiuMYSimEYThS9ILG44B2fuy7xYgIZ5j7LPN6ev7553H16lXs7OwAAN761rfiS1/6EsPUEIapLSMiiOMYURSNlNz0RVUH+eXgO8syHB0djdysqtruSXxq7zLb2h+ixv0dF+HbElXqGt6PVd5DG41Gb6lgvV7vlW7vL3qxigM36XLhPWMxSin2X59llkU/ODjAl7/8ZWRZhjAM8cILL+B1r3vdUn72NmGY2hL9B+2W/+2rqg3yzzv4rlq7adAqQ5QPeH1enLUWnU5npHT7tP1Y/bNYl+nTcgaCxbDv5sdrb9Ay++MNb3gD3va2t+Enf/InoZTCE088gXe84x1L+dnbxN8RNwEYf0aU74OmKrRfRHrLfc47+K5Cuy/Kl/Yu0rflsszLGqJo+RbZj7Xq87HIP77ch6uKYWrQsg/sfe9734v3vve9S/t524hhylPTDtr1cVDfb5Pt7w9R85TG9rnft03/3rZ1hahFrl1eO/6b93ysMmj5jAPa+bHvFsM9U4OWHaZoNoYpz5ynvPk2hKl1F84QEaRp2ttrNk9BAt/7vcou0rebCFE+4PW5GdPOxyqXCu7s7Azsx+qfxeJ+rO3HMLUY7pkaxOtp/RimPHHRM6J8HjStc9DXH6JardZCVd18vHn52OZJGKLIJ9u4H4uvOdoEzkwNUkqx8uiaMUxVnC8H7S7TOsKUUgppmiIIgrlnoobxk//VmtS3VQpRvAa2wyY/2fV1PxY/DadN4bU3iP2xfgxTFeXbQbvLtMoBaX+IarVaaDQaS/vZHEivV5VCFNGqTdqP1T+Ltcn9WBzA0aZwj9Ag9sf6MUxVUBRFC/8Mn9/UVrFnSimFWq0GrTWazeZSQ1SJYWo9qhyiqnwNVLltNB/nHLIsQ5ZlA1/nfiy6TBjkBzFMrR/D1Jby+fDQZQ76tNao1WoQEbRarZWuI/ZxsOrTdSIi2N/fR57nlQtRy+DbtUPVtan9WNv2miQ/+PIeti7sj/VjmNpS1trecg/fLCOU9IeoZrO5lmUuPoYpoPo33iiKkKYpRATHx8eVbuv2uY8U/xIhPgMt96DQAWAhACz2ULivQwvvguBVaNyBwgksriLDO2HwHwDw7/WwzWbtx4rjeO79WD7e+2g7sADFIM5MrR/D1JbydWC/qCAIUKvV4JxDq9Xy/uyWVatyMClDVFEUOD4+xv7+fqXbC1T7dXf+vuughg8jxu8iklcx+encgcbziPAJCAAHB0CgRAD8EqzTMHgUmXsaDfyXAK4u4VnQKpT7sVqtVu9r0/Zj9Qcs3mNp01gafVDVPyDdRgxTW6rKg7pVCMMQaZrCOYdGo7GxGTnf+ryK10l/iDo5OeEnbEs0/m/tEOD/Q4x/DYW/QIDPQ0sHgMB2/xkCwcOgBFhnUcAiEHX2b93HOOdgnT17rIHCywjlZdTcv0CGJ3Hq/jYM/sP1PFlayEX3Y4kIlFIQEe7HugAOfBfHPhzE/lg/hqkKWsYAt4qD5FUIwxC1Wg3GmI2GKF9V6TphiFovjX+PBB9GhD+Fku6A2boAWgRKRgvAOGeROXs2/wQEMnpkg4ichSqgcAk0OhBxEAEC92XsyofQsX8JOb4VRv4KHJ5Y8bOkZZu0H2t/fx/GmN4HWz6dj7VJHPjSMnGJ32YwTG2pKg2S5zHrzaUceBtjOPD23HlDlA8DDh9edwp/gDp+AiFuD7TVOgclxdggBZzNPDhB7gy6s1YFAqixjxcBArRhnEVmDSwcNAQiHUTq3yNwz6JwPw+Lq8jx12HlP1nV06U16nQ6I0V+ylms4f1Yw0sFfXh9rwLDFC0Tr6fNYJiqoGUMyKy1Xh/2O6nKHGcvlmuTg/95/pZ8o5ifM7ehOh/CPj5/tlzv4d+9vA70hCAFdJf2Zc4MPCZ3BgohQhmdEXbOoeMMnLMwcFB9SwKVCCIpkLvbUO5/hXEfRoa/Dcg7lveEqRLKs64m7ceq1Wq9cxUv434s3tNomTgztRkMU1vKh0/IpxkOU3EcI0mSyoco394UN3Gd9C/NvMjf0oe+rerrLsBHodr/DBEMHByM07CwAMxZwHGIJZz6MzJnR8KWEgXnOjh1DjXRvVkq6xxaNodId7AYQFA4ezaT9bB/QlEwsID7KlL8d8jdm5HjH0Lk8WV3Aa3YRUIBz8ca5MO9jfzAYhybwTBVQct4IVR1UHdeZfv7D2j1oSy2T+c2rdu8Iaof+/aiDEL8DWg8C0ChAwc4BZGHg1jjDBQEuekA2IFICwkUdN/B2W0bQWH8LIGIIIag5QwiOGgEaNnOyP1Hi0LhHDQA3fdvWhQEDoWziOQFBO47kbnvgZUfWGZHXAivs82YdT7WpP1YZdCq6ods0/j8Pk3VwzLxm8EwtaV8D1NKKezt7aHT6Xh3QKtPA7F1XCfLCFEAP729KGtfQiQ/COBlaISAnM1CycN+tM5BQc4KRwBAAwDQcgbGCFLRZzNJzZnXSSQKxjmcujbiCY/VIjAuOPvvh7MLSgQBQuROoCRHgl9E5j6FHB+GSLpAL9C6rPK+V56P1W63B35fEAQIggBJkiAIAi/3Y/n0flFFXNY2iP2xGQxTW6o8tNc3SZIgSRJYa3F6ejqymbnqfHtTXGWYWlaIKvnwAYFzbuOvO+degLgfRyTPAbBQ0BP7zQEDy+5KSgQKQO4KtKzFjgpwngN4287AwaDtAiQTHq6lQO4AB4WgL9gpsXBwOLGARh1KXkaA9yG3Pwelvm72E6dLxTm3FfuxGKYWw/4bxP7YDIapCrpsy/xEBBbtCN8AACAASURBVEmSII5jdDodHB4eIk1Tb9rfz6d+Ly27vcsOUXR+zv1DBPg1KGXO/n+FcMLf17gQWqZ/WJHBQYlDwzlY63CgJ18rHWthYc7ezAt07C5i1Rr72FC6e7AEGlosmtai7QpAugGv7Y7QjaSncO4/h9j3IJC/CyXxOXqBNqEqg7hZ+7HCMEQcx5XZj1WVfvMV+28QZ6Y2g2Fqi1V9UN8fotrtNg4PD3v/5mMoAfxr9zLfhMr9DNbalYQo3/p2naxtQeT7EeJ5lF1knUOC8bNkzjlY5JhW79M6CwMLLQKBgRKDe0bhQAUIZPixDh3kvVkuEYHDKRq2hrrqjPnpQCTdmayOFUCK3sSXCKABFA7QAoh04Nwn0HHPIpL/DVo9fYGeIeqatB+rXCpY3r+CIOjNevXPYq1qgMowsBj23yCllHcrerYBw1QFbfuNQUSQpimiKEKr1RoIUSVfB86+tXsZ7S2X01hrL/3ByZv4+1v7JYj8V4jkaKAd4ZTlfW0HpDNWI3acg1aD358oixOXoYYaYnm4TKrpipHlgt1Q1ETTKtTUaDsK59CwBSxqCJCh/yFKum9OxikosRBxUO4OWu5vIrI/iEi9b3rjae18HdQWRYGiKDa2H8vXfqsKzsQM4vW0GQxTtDYiglqthjAMJ4aoUhX2nszDtzAFzD+DWYYo59xaQpSPfbtqhf09iPyPiGVwSVPhAIigYxUccgACLUAIQEEQiQYweQBinYWTCEA28m+hAG3XhEWMVBwy193rNO4vIwIoOLQckPb97QrncGyLXuAyLoWSwSWBSgAHC+cEIq57ELBro23/Hgr3ZdT03zp3PxFdxLr3Y3HwOz+Gh0EMl5vBMLXFqnKDUUr1lk+0Wi00Go2Z3+PrwNm3ds9zjaw7RPlmXX//wv4LOPwYUrGwFshgYdDdcxRBUODh0jnAwQAwADo2gEV3md2uuLEFKDquBq0mv061AIXL0HACA8GYiaceEQfrgI4DYhFY53BszUA9C0ELmeu2afj3dKNglxIggkPmfgnH5jnsyM9CqennY9F6XIZB7aT9WFrr3lLB/v1Y5axXGbDG3SsvQ7+tEvtvEPtjMximKmhZL4RNn3mklEKtVoPW+twhquRbKCn51u6LtHfTIcqHvl3Xay23v4oC/zvqsGjaHVicPgwcACZ1k3UOIhbRWeGJB07grMaBAoKzb7LOwUhzwm6rh0Qc2q6Gts2wr6dfC1pc94wpp3Dq7EB5dpy1VzkFgwB6aJYtFIfc7kOdLWNUAoRwyN1ncezeh118FFrtz2gt0eqUpdsn7ceKoqg3kzW8H6uc2aL58FylQZyZ2gyGqS22qTClte4drNhsNufaDOnDwHkSn9p9nn7edIiiQYX9v9Fxfx+RhGg5QORhkHIAQqiz/xrzvdiDluPe/x+IA6TAsQOcDXBFAQ0XIFKjy/uGOQec2gwKGY6swr6afp8JBDg2FhZ27EyWiEXmCkTozkgNfu8R2i5BJN19LVoAB4fC3caJ/U+xi49Bq5sz20y0TufZj5UkCdI0Rb1e9+p8rKpQSlWmzH0VMExtBsPUFlt3INFao1arQUTQarUWqijja5japje/qoUoH66JVbcxt/8GbfePYF0KSGtkBkrcHkSdjP1e6xwsTsZW8NMCQArcszECxIjG7JUadmgjaOmc/WyLY6uwNyVQFS5E0+WAhKhh/L0hEoumDbCrBwdHIkCIAsY9DFoKCkoSCE5xYv+zs0D12Mx2n9c2vZapOsbtx2q32yiKordUcNx+rDJgMTgM4rK2QeyPzWCYqqhlDMrKg3tXPQgOgqB3LlSz2VzKzd6HgfM4vrV7XHurFqIuk2lvhC3zWzh1PwZBEzsy+smjcYJYTif+7LYLEKvpr82OM8hxDGfq2NHNiY9zDihcjrCvnHnh7FnlvvHtP7Kue46UMzhxAXYntKWmCjSsRl0NXncaBRruCjq20S2dcXaeFdwVRNLBsf1r2MPHoNWNqc+RqErK17y1duZ+rLKyIHC+/ViXAcPDIPbHZjBMbbFVD+z7B92tVmupn5j5FkpKvrW7v73lzCKASoYo3/r2oqY9txPzU2i7X4OSDkKHscvkHPag+pbwjf6C2Us/cqeQKoMMDTww3aV7437XoQ0RDi0FVAK0nIO2QDy04appE1h0lzqJnG3kdwrRhDaFsCgceudZtazCkQ0AaSJ3CuFZYOueZ9VA08UAcnTM9+GG+yi03pn5XKfZ5uuMqmXW4HeR/VirPB+rKrhn6iGlFIPUhjBMVdQyBo6rGnyWhxuueubCxwGNrwP+3d3dpc4srkrV+3YVf/8j82PI3SegJIdz3bOehlkniGX88j4AaDtBPCNMtaxCIg+X3zlYHBrBnsbIIb2FM71ZqX5aHE6cILAPz6iyTnBkcgR9ASsQh1Mb4Koev5xQi0PLauxogyMToumk16+BCIxzveV+3fLrGYxTaMt93LLfjZv4J4j010x9vkRVMO9Mwnn2Y4Vh2NtDs637sRggHmKw3ByGqS227IFduZbbGFPJmYsq8ClMlTNRWms0Go1Khyjgcu5hOTH/FLn7fyBnB+QmE66t3NWQqMnL8owLEMr0fVANG6CmhvYyicOREexphfAsjB2bAOHw4/oE4nDfKdw4K4Jx10QIVGfkcYkqcGgiHEwIVKkyuFtEMCIDe8NEumdPdV9r3a9pcbBOAyhgcBev2P8GN+UnkKg3TX3ORFWwzAq+487HUkoN7McKwxAiMrJUsOrvAeNwWdtDLD6xOQxTW8w5B63HbTe/mCiKkKYpjDE4OTnhi3UKH8JUf6GQZrPpVTWkqvctMH8bhwcEDfMb6LhfhogpH4Cobx9R92wpBYMUQI4TG0DDIRSLsK/0eOGAUKb/fY0FogmPEXE4Mgp1BaTKouWAeMZTDMXiblHHFd2Cm1LMIpACbaeQjJk1OzIhWk5Dw46p7udQWOlWIyx/p8qQ211AGnC4i1eKH8ITwU8jVI9PbyzRBq3jnrbN+7EYph5iX2wOw1RFLeMFYa1d6EZdhqiiKDYSony9KVR1wD8conwJUCUfrodltfHE/A7a7seh5OEgJpUYLdtBy2lYCATdmZnMGqSqu8eo2wgF5wAluxDXghOHK3p0ZqjfkYsGlvgNU5LjxAoyF/TOqJpFSxO38hjplN/d3WelEQ2VSz+1IU6dhgiQOw0to4M5fXYYcP/3aTlF7hSUOAC38Rf5f4+vC34RWqfnajPRum1yALwN+7EYIB7izNTmMExtsXlnSeI4RpqmyLIMx8fHG71R+XajrGJbZ4Woqoa/cXxq60WJdPcFNcwf4tT+CKKzanfWAgVidGCgRAMCqL5zpJSMXnMigMMJnAAnNkLbpdhXOWoTKug51620N00gDneNwr5WCDH7DdsCOHEKoRUEU0qmx2JwbB8u98tct9hE/xK+zO4gUoOVCkUA43ag8PDrShwCpLBonu2lehl/XvwNvFl+HkotPktPtGxVfI+bth+rnMUa3o/Vv1Swas/nsuD+sc1hmKqoZbwgLhqmygMEsyzD0dHRxl+Umzp0eFFVGfCXhycrpbyciRrmw3Ww6AcYp50/w1/c+yHUz/YYtaxGxwVIRUONmREqnCDC5CU4LasRny0NPLIKR7aGGzpD0Lekr1t4Yva1YR1gIXhgIlzTHegxIa7foUkQKYvXbA03VWPqYwMp0HEKESzu23pvj1ipQBvaycjvDOQUDRui3reHS8spchtDSw4tDgYv4IX8b+EvRT9TmdcmkW/692P12+b9WL5hAYrNYZjaYucd2JUhqtPpVCJElRZdpnhZKaVQq9WglDrX4clV+XvP4sN+tIsql9FkWYbXHnwFf9b4APZVA4UVNFwIBwUtEdSE86OsU5Ax1f1KGUKkZwfkdvvO4K4JEUmAq6oNkQmFJ8Y4dVFvtui+SXBdjx4a/LBdAgMHBSBWBQ5NjIOZy/1qaLgIFq2Rfw/F4tTG2NftkX+LxAwc5tv9mkXhFEQsIjFouT/F89mH8PXxP5r5PIno/LZ5P5ZvuMxvcximttiswWeapojjuHIhqrSNg+dVKkOU1hrNZnNmiKLN6d+PeHR0BGst/rz5PUjlCB23h7btQM6KMhhrgTEr1JxziMbsJSrZCYUnRCxyALdNgiuqg3DKz+iXuxSQs0AkDvdtgmtjwg0AnNh9KHn4bwaC3CqEU4KfdRluFSGuTnhXSiRDp2+mrRSKxamJsNNXFVBJjszWEJ+1IZE2mu5P8ELnR/Dm+EfO8WyJaBHT9mOFYYgoilCv16G1hrV2IGDleV658YgPODO1OQxTFbWsG8lwGBERJEmCOI7RbrdxeHi4lN+zCgxT57NoiPJlOaUv18O0NvYfL9Bf1OWl9v+Awt2FdVcAOenN+DgXoj5hiVzuNFI1OQg1bYhIT35jFXG4bRLUxfTKnk/SsOHDIHXGAjgxNezqwZLszgFt54YKQ3TD180p5dvvmjpEVLdK35g9VkqAlg0Qj1nWWFejQStWFodFd6lhIhaxNNG0v4ev5P8HXhd+/9Tn230e1X49EPlo3JK/4f1Yu7u7UErBGDOyVLD/denD+9Y6KaX4IeqGMExdEiKCNE0RRVHlQ1TJl8HzsHXd3Jc1E+VLmPJZEASo1Wqw1o5UxryX/XMcFv8OQIho6OBdAzNxKZ2WGMCUs6VEATMKRRQuwLHTyJ2augzvxMYIxxSvaDoHGZoVOjQplIz+rFiZicv9jkwCCBDA4oGt44Yav6wxVfnILBRQFqNQKJzDkUnQcSEgAgONU9O9rkNRSKDwwHwMiTyJG8F/PPH50sXw/kGLmHc/FpcIDuIyv81hmKqoZR7iV6vVEEURWq2WFyGq5GuYAlY7uLisy/l8vB7KSooAxh503TQv4qX2z6PjNA7GzPDU1fgzmnIniMbsLSoVThDPKCphnUBEQ2DQRoj7RuGqHv2Z1uHhWVdDlDgc2wCJyntnPjWdnnhmVQGFwmoEfTNIzgGHNu7NZEVSoGVDpBP2ccmYkuhAd6bubrGDUD2sTKjFIHcBlDgUcDhxBuJuoCh+CnX1JtTU6yf8DoYDok2btR8rjmNorXH9+nUA3I/F+9bmMExtKaUU0jSF1tqbmahhPg6egdXNTK0qRPnaz1WmlEK9Xp96pldmDvGnjf8WTQfsKzXy77nT2JHxYaplYyRjgk+p6UIkU5YAAmezTX0hKYPGrWIPjwfHA487ssnA4bjDQmVxp9jB14QnaNkQoeSYVGc9EItbxS6+Nnp4Pzo016D6wpcS4NTGE8NUJAanNsbe2QyXc8B9cxVN5+AgsENLDGMp0HEaSsoZrAbumwSf7/xdfHP8YWgVT3xudD4cxNE6lfuxyiJVR0dHALgfizNTm8MwtWXKEBUEAVqtltdraJ1zUGMGmVW37GVz/X/TVcxE+RKmfGinUgpKKezu7k79W1lr8KfNv4mmayJAt8T3sHjCmVAAZhaNcLMOjQJQOD2yV0qJxa18F4+HD5cbtl0wcaapFKkc94oaMqcRzqgMuKtbuF+kuBq04BxwZC300Ms8UQWOTDK2eh/Qff6FE2g43Cl2kZ+du6XFIXcacV//iAD9WVCLRYgIh7aFz3V+BE+nPz61vUSrwhC6mOH+W+Z+LB/xetochqktMTxr0Wh0N61HUVT5AegkPgyex1lWu4eDcfk3peoREdRqNQRBAOdc75PSSZ5v/c84trcgAtTGXCuFE+yf7QsyTlC4EDkEznUr4+1OWP5Xfu+sJX7GCaIx51YBgFIOrxS7eCw46QaWc5xBBQA5HApnEc54nAjQtAGsBe6aXegJFf4Kp2EtMO7zlEAsGjZG2wbIh97GFOxIqfRYGbSs7n1N4wRwKe7bF/D59s/iG5L/+lzPkcbjIG4+7LfFnKf/LtP5WJyZ2hyGqQo7z6C8/2DWcWcK+RpIAH/bvmi71x2ifOrnqrWzv7BL+SHGwcHB1O95uf1/4jXzGYgAGgqhDC6rM07QshE6LoSBjDznpgnRRgTrAA0NcQb7utk7K6rlwpHy4cNObTJ1dkvE4U6xg0As9IxKf6WGjdG0EVJ9PPOxdZ3hVrGHXDSCCUUyImXwwNZxbUI1w8zV0HbByGHGSgDn9oChfg3O9lqJCESARAFtB9wy/wZp53F8Xfy+cz1PomVhmFrMIuFh2n6sMAwRBEFvqwQwuB8rz/NKhpYqXk9le6r23r1sDFOeKje2T9uTAfg1UB7ma9vnbfemZqJ87edNK89pu0hhl3ZxBy9lHwXQfb32l/nOnEbb7aNtO4iUBWT8Yr3gLNwoARwMnAD3bYq7ZgcHCoBMrvBXKpyauVTQwuGoiLEfTt6b1a9lu7Pg94sargaz29CB7i6/m3LpKXFjS6UfmzoemAAtG+FqMDrD5nCKzKpuP54JxaLlAuizJYFKWlCuDosCXyp+HXvqTbgefuO5niuNqtogzgdVHPz6ZBX9V+7HGlb1/VhVvZbKscWDBw/w6quvoigKJEmCq1ev4sqVKxtu3fIwTFXYuEFuWWIZwNQQVbLWernvCPB3kH/RdvcvEdvUcj4f+3lTkiRBkiRzFXb5fPNHYdGdMREoxHKMzGmc2ggGAbqL5RT0hKDTDQij/yYiCMTi0AnEXoFxRyPlw0t2yhK/gcdBoYEQoTWoTVlWCHSLZZS5qOPCsYfrDmvYBJkLcFNNnskKxOLQ7uJ632Nyp/FaUYOobqn0tg2QDO0vU+LQMBEiNViGPRJB4bozbwAQSwcNqwBp4Lns5/Au/ZMIVDq13TSK94/5VXEA7It1HlK7yH6sdexbr+ISP2MMPv3pT+OP/uiPEEUR4jjujY/SNMVjjz2GN77xjXj88ce9HaeWGKY8UYYo59zYEsuT+BpIAL/bfp52VyFEAXwzP684jpGmKTqdzlzVMT/f+Bm03fO9mZjAFTh2CTouGLhe9JTKeYXTiKacHdWwCWoqx7Gr4Tiv4ao+HQka3Sp+s990T20MJYIjU4OGQzylsMSxSXrPQQQ4NtdxQ92Z+PgTE0NEEMGgYULU9eSfraUYCEy38gPI2fuuCNA08chzBICaytC2eqCqoZYcJyZB7ez3iRQIJYWBRebu4A9b/xjP1P/O5E6hiXgfuThf39+qYtOzMdP2Y5VLBev1OoIgGNmPlef5Uku3b7ovxvmFX/gF3Lx5E8888wzSNEWapr3VVLdv38Zzzz2HP/mTP8HTTz+Np59+urek0kcMUxXmnEMYhkjTFNbaC4Wo/p/ha+L3NUzNandVQlTJ135elzJEZVmGo6Ojud6wvtL+JA7Nv+oFKeNqKFyze85TX9c75xBNqeIXzAhBzvX9MAFeMzuIbY7rwcNrLB9TxW+c3HXb1t0/tYsnwgdQE4JexwUD5ciNtHEn38PNcPys05GpAWelyk9tDXU9uWBHIBZ3i128LnqA14pdOBm8n6UqR9NEqI05yDczwUiJ+F3dQcfpXrn3SFponJ1zdeg+i+dbv4X/qP7+ie2hUbx/zKeKA2CfVHE2BuiuCOp0Ouh0BmfGp+3H6p/Fmuc5VbEv3ve+92FnZwdpOjrb/43f+I14z3veg9u3b+PjH/843vrWtzJM0WqUFWZOT0/nfpH4PlD2se2T+nxcsYIq8Dlwr1IURUjTFEVRXChEDT+uWdzBC+2fQ6y6Zb5b9ioKB9TU6F4kBxk5jLY0aYlfyTggGZo9EgEyhLiV7+NmcAwFN7PMefdnCYCHG5oiZXArP8AT0YORx7ZsOLbNuVPIrB5pc2Y1DATlFRerAocmxcGUc7N2dRsnJsahTQaq9JXPsW1D1DC6FLE7OzW4DFCLQ24CBL3ZKSCRABkKBGLxQvFRPNr+ejwSfv3E9tAohoKLY5hajG/9t8r9WFUMUzdu3AAwOCZyzg2MOR599FH8wA/8wMbauCwMUxXWbDYXTuo+75ny1XA46Q9RFylWQJtRlsotigInJycLvUE55/Cpk7+DXX0M6wSvFbtQkiGacBivIAYwfsnbrCV+TRMj0RPClgheKfZRk2zskrhhDRuP7tdUFnfzHdwIT4ceWxv7MwLlcLvYx9dG9we+ft/sQA397MyGsNIaWwYd6Aagl7MDJHr88091joaJUB8zO5VbjQSDz3lXt7sHDJ8VqAhUA7k5gJMWQjnF7x39BP7qlZ8CZhZ6J8DPD72qwLcwUDXb0n+z9mOlaTp2P9a9e/d6IWzZfdFsNvGxj30Mr7zyCgDgu77ru/Dkk09e6Gf0n7n5qU99Ct/wDd+A69evQ0RweHiIvb29Xgj0fZzKMFVhy3hh+D4z5aOyz30JUT5dI6t84yz3JVprFw5R5RvIs6c/gQhHKKzFa6Zbatw69Pbs9CucoKZGD+8tzSpRXkADmDxzpQS4W+zgelAgnfJ7gG5lwXGXRAaNlg2R9s2AFS4AJsx2hVLgsEhxEHRnnZwDOjYYCU2RMridX8Hj8ejMF9CdzWq7EM4YpHr878pciPqE2anhNisBchegZRRyq6GgYWAQSwCtCoi7h9988MP49vrf9+a1Qf7ZljCwKessQLFu59mP9bnPfQ6f+cxnUBQFHnnkETz22GO4du0aHn30Udy4cWOhgPLrv/7reOqpp/DBD34QRVGMlJA/j/Le2Wg08Nu//dt4+umnYYzB5z//eTz77LN48skn8a53vQth6P+HVgxTW86ngfI2KT8tqnKIKl32a0RrjXq9fuHiLpOUg6NXsv8XL2f/DnuqhddMvbdHR0+YXcpsMLECX+EE0YxS5vGMfwcASIQ7heBAPQw4w7pL/BQwpp36LJC9LnwAEeDIpBODFNB9Mz02CfZ1CyLAid2bOPuklB1bBh0A7hR70CI4tQlSPT4ITpqdArql4EuZrePVPELHBcihBpYNvlZo1BRwEDRh3Kv4g9aH8Uzt+yc+P+piKJgP+20xSqlL13/9+7He+c534p3vfGfva1/96lfxxS9+EZ/97Gdx7949KKVw8+ZNPPbYY/jWb/3WXiXoWVqtFr74xS/iAx/4AIDuB41BMH9caDQaCIIAOzs7ePDgAX7zN38Tb3rTm/CFL3wBWmu8+93vnvtnVwXDVIVxZsqvdfj9M1HOucqHKB/1LxtY1HnPaptHYVv4w9N/ikgiHFnTC1LOOezoztjvCafsh8pc0DuUd5ymCad+P9Cd3XEooERwaFO4QnBlzHlQR6YOmTILFimLV4p9PB4e4cQkCNT0T4YjbXGn2MOj4TEadhdAe+zjElXgVn6Arx2anWrbALnTUALEUqBlgimzU8HE2ammCXFiEzRMApwd3CtWgL6iGpGyaDvB7TzFvhbcyj+Fo/Sv4A3JX15ZFS663Hx6j6sahtGuMjRdv34db37zm3tfz/Mcd+7cwe3bty80S/Xaa69hZ2cHH/3oR3Hr1i287nWvw/vf/37EcTxX+4wx2N3dRbPZxIsvvgitNb7zO78TL774In71V38V7373u71f6udvy+ncfA9TVW9/WZ1vf38fxhgcHx97tfTAhz5eJqUUdnZ2sLOzg1arhePj46UGKeccfv/4H6Bjmui49kCpcwcZW5GvcIK6Gh+yACCY8blXx0Uz22Xcbu+/lQBHNsGhGa2yVLidmT8LOCtvPu3E3T65Uzg1ETI3PkiVEmWQ2cG3pbvFXm+PVbf6XzLl+ws0zWhfFE5wO9tDw6boX79YLrssKXFw6C7RPbZA5g7w27f/Ae4e3kKe5wiCAHt7e7hx4wauX7+O/f191Gq13p6Fy4qD2vmw32hZxhWgCMMQTzzxBN7+9rcjSSbfN4dZa/HVr34V73znO/GDP/iDiKIIv/M7vzN3265fv463vvWt+Nmf/Vn8/u//Pt7xjncAAE5OTrbmvsmZqQrjTXa5MxHLJiJIkgRxHA8s51NKeXWD8ClMLXI99JekbzabKztI8c9P/zXuZH8MkR1oGZydnFRJb9YSv0Cmh5BYAgCTwxgAtJ0dWNKmBDg0KTQsds9my5wDDBqYVfZGCXAnP0B9wizbsFA5fDm7hr1g+rr7SBm8kh/g9XG3aEV3VkoNVAucNjsl0q0u2F/Zz7gAr+TXkQugHAYORBYBMDw7JQbZ2UxYxzXRNCl+++gn8N69Hx76XZMP7CxnsMZtLCcq+XLfpepb5jjp4OAA+/v7eMMb3gAAeNvb3rZQmIrjGM888wz29/exs7ODt7zlLSiKAi+//DJu3ry5lDZvGsMUVVpZGa9KMz39Iardbo8s56ti8LvMyuWXYRiu/Fyvtmng0w/+MZpuF3tq8LroFp4YDR/OdWesjooU1sXInYGIQyAWsRToWI0r4eSy4bnVCGT6cypcCDVm+ZsS4F5RRyAWqcpxbPamll/v13EHOMw6eGJC0YhhDZcgthbxjGqCNZWjYzRibXCv2B2p/FfOTk3cO6VynBQxdoMOCqfwpc7V3mTUqQmxHww+v0AsCvewJL2UVeHP/jtQFi9ld/Bc61/iG9Nv733frA3iZcgq9xr0LxMsiqJS97RFVfUDr6pjv9GyLHOctLe3hytXruDOnTu4efMmnn/++YVDj3MOcRyj0Wjg3r172Nvbw+OPP46v//ruERS+f7DAMHUJ+HyzrtKsyawQVapSm8/Dp/ZepK3DM4fN5uj+oGX73eO/hxPbXa6mhw64FbjegD2zIU5MhMwFMBBEYvtWn+nuYN4BpwAaJsSJ2YOSDI+ETURDywEzt49IjT8ct/QgTxFPmPnSCrhd7OJrw2M8MAF2g/OFqYbNusHGxBP3gfUea7rL4I6La7gR3Zn62FBZ3C4O8DXquDdDNCyWAm0TIJkwO3VqE+yig692HhmoSpiqHG2rBw7yFQG0q8Hh4fXRPzsF6UDJLv5t4zfx+vAvYze4NrX9kw7s7J/FCsNwpMxxGbLo8mCYomVZ9ofO3/Ed34Ff/uVfRlEUuHbtWq8YxUWU79cvvfQSPvnJT0IphZdeeglPP/00vv3bvx1PPvkk6vU6AIYp8kCVl8rNFa6FRQAAIABJREFUUoWB/nlD1PD3+KIKfbxsaZpe6O+1DH/S+ARezV+Cg0Iko7MmscpxYmJkbg8ddzZoFsBYBZlQxME5IFUOIgUcFG7ndcTqCmrqQW9pXscWiGbsfu04hWlbh7UAX+pcGwlqk5wUtV7VvXv5zswwdWxSQIBCWgOl0iep6wyv5tehJiyL7Ia4K0j03bH/vh+08WLrGoa2X0EE6BThQJgCAEEDbRMgPjunSwZX/iFSLZwWGv/Xyc/grx38L3O9Xsolf63Ww+feX+Z4Z2dnYBarP2RVfRbL1/eXTWO/0bIs+1p64okn8KEPfWihn1GOLZ599lk45/Dd3/3d+JVf+ZVeO3/jN34DTz31FN7+9rd7X4CCYariljHQLS9SHytQbXqgv4lBOU0263pIkgRJkqDT6az179U2J/jj1q8idwqRCMKhIhMtG6CFAA4KGDpAVsnkN8CO1QOzLyKCzOXIzA6OihquBQaJmr6fyjkgUbPPCDEA7uW7qOv7Mx97WCTQutvuSFu8ku3hsWj87Fh3H1YMwECku5xxVphScHglC3EtmjxTE6hTdEyMeEyQOzExXjO7uDKmbxKdI7N6YDmjCGCdQv85XeHA7FSBUMU4MvfwOye/hPfs/RdT239es2axoihCvV6H1hrW2oEZrFXt+aP1YZiaX9WW/29alfvj+PgYb3zjGwF0y67fuHEDQLfa4CqX3a+TvzGQzm3TgWQR1tqNtD1NUxwcHPRKnLfb0wesvvP1+ijFcYyDg4PuYP3oaODT/3X49MnP4NR0l71F6uFyMeMUDosULRudBalBzrmp50dpqU/8NycKL2U7uJUdILOTS0YcFSmiGeXLAeDEJIDSeDXbnflYO3S9FC6Y2IaW3Yfre45xYPBaPr1i4GtFHUYCWDf5eWlxeDUfrUZonODVfBexMsiHp6bQ3SfWMqOHRNZ1NlBJUAQI8bACVqxacM7hhewz+GL7j6e2f1HlDNbJyQnu37+Pu3fv4v79+2i321BKoVar4fr167hx4wauXLmCnZ0dxHEMrWeVDlkNhoL5sN/mx74bVMX+KMcVb3nLW/CFL3wBxhhYa3HtWnep9MnJCdJ09B7uI4apirvsZ02tu+2XLUT5Zvh6iKII+/v70Fr3QtS631Be7jyHr3T+rLs0DA7J2dI043bxoKihQDC2HHr3MXrqzJQdUzSiX8dpGAnw1ewq7ufjg1fDzi6bDgDFWXA5dTFOx5QXL52aCOFQONPK4ZXsYOzj7+SjwaVhQ0z7Mx2bBEqAhtmb2uYdnSG3gz//VucAIurs+8c/j0QXyN3g258IUAwFQpEGUJadF4tICSwKfKrxz1HY9c4MOeeQZRkajQaOjo5w79493L17t1faP4qiXtn2a9eu9cq2h2Ho7f3/MqjaANgXVQwPm1LVvijvO9/8zd+Mq1ev4iMf+Qi+8IUv4MGDB/jc5z6HoijwyCOPDDzWV1zmdwkwTM227OVhVbyxbZMwDFGr1VAUBY6Pjzfa3//25CPAWViKpDvAPjEpOg7dEbpzMw+2Hce6ANGMkugBNAADiODQ1tHsRHg8ejBQtEEwu2+Mk14btQhezfeRqnsjRTQA4KioQ8Z8DBcoM7IfyjqBjPkZkbY4Lq5iPxxdUnhSxHDSDTUdZ5A6jWDC7F2gLB7kB3gk7u6dOi1itF3YKzoRKgtrBUoNtkGJQ7OIsB8O9m85OxWePV4E6BiD+CxjxaqNrIjRcPfxWycfxV/d/56x7VonYwyMMQMf/IhIby9Wf6Aa3ou1rKXfVR3MVZ2v78tVICKVXda2blVc4tfpdBDHMZxzCIIA73//+/HJT34SnU4HL774Ip599lk888wzeOKJJwD4/1pgmLoEGKYmW+UeGw4wlk9EUK/XURQFTk5ONv4G8rmTT+DY3OkN3lMJ8cCksH17bzIboDahkl6spu2Xmlz+u/vvGkoGf26GEF/uXMcT0RFC1d0b1C3HPv01dFSkAwFMK+Arnat4Q/LayGNzpxBhtN9FBIdFDfu61euPu/kO9IT1D8fOYc8NnKELALhf1B82VxwaxVXsh+MLTXTb2kRhFQJlcSffG7hfaHE4NjEOxuydinQB42QgMCoBchMi7NtjVtcZmiZEpC0gQKQscqfxxeyz+Ern3Xhd/OTEtm1KOYuVZYPXh9a6F7LSNEUQBAMl3sugxfvWevA9Yn5KKfbdmSpeRz/90z+N7/u+78PVq1fxyU9+Eo888gje9a534ZlnnkGr1cLBwUGv4M422J5nsqWW8QKx1m5sLf2iVhWmVl2ooGo3Nt+Vn7ArpdDpdNa+J2qc+/kdfK71a70wkBmN16yBHqoUF6vxy8EKKwjHlPYu5a7AtNXkR0WKnWD0ZztR+Gp2HdeD+2jZCImevRytbUNEeqiUu1K4m+/gRvgw0GVWI1AGk8JZpLuB5tGzYhQNGyPU418LobI4MdewFzwMbIVTyBAM/PSOy0ZCz8DvVAYn5jqMacCNmTLT4mAtMFwoKhCHhomwFwwWf6jpDIUDgr5zp1xfi2Kdo5MrKCnwiZNfxl+P/idvPqwqZ7H6LePw4SoO5nzAfpsf++6hKs5MffCDH8T+/j6A7t6oL3/5y3j22WdRr9fx+OOP4/r169jf38cjjzzizf1zGoapS4AzUw/1h6ijo6OV3Yx9K0df1XZqrVGr1SAiaDQaCMOwEm11zuFfHf4zWJyVJzchcifY0YMD1cIK9sYEHgAIpQ7gaMLPB9IZFfiM0wDG/2wnBrfzfWiY/5+9dwuW7Drv+35rrX3ty7nMBeAAIABCACSKIAkxBVOWTMUmrZTkFCVZDyo9WCpXHqxKHlKuSqpSFSV5UTmlkhwqSUWxI0u2Jbqsi2XLFGVSIkWCpEiIJASJFiCKBEjcZoDBzJx7X/ZtXfKwT/fpy97dZ2bOzHSf6V/VVAF9dnevvfbuvdd/f9/3/44lpqp6OUGZrrih8mGkZkc3p5roTo8rRFuFEHZmPRhA10LLieF2OxORJQApLbvFGueC6rmCsrZsp2hMCSYoRVvumkRMu0Yp4bBufP+VcPR1iOcdzX+sCnraJ1IGIaCpPBJryN0Vfm/3N/nxM9ffg2VRWDUfXrGMLNP99VaziHNx7ty54X9/6EMfYnt7mzfffJOLFy/y53/+50MjnZ/+6Z9e2vXpKCsxteCsDChOZuy3S0QNWOY5XwQGF1opJf1+f/hUfFGK6T+9/1uk7iIAxjXpWMeZCrtv4+rHapytvQD3jU+zRoQNiGoiXgOUhJ28hS8t6zOsyPvGH/aMqvqMl5NNvrNZNtrVLkKK2d8rpOa19AxrXlab4jdASs2ObnPOLyNZ+yau7LnlENgR0TXJbuHTd01aVO9nZg1RRXA+kIa+CWlNRKdiWdDVPolpkhiJE5LcSgQOTxrWlUBQplle0n/BX/bexXua7529s0vG9TQfFkKglEJKuWo+vOK2sKqZOmIRI1OTPPDAAzz44IN87/d+LwBbW1tcvHhxqXtLjbISU3cBy7ywv9mx324RNWDZ5nxRImlSymEtR7/fn3pavgjzeiW/yEvJV4lVRm4DOsahcJUL/UBWF/hrKwllp/Y7ihlRJyhNGkI12zwgNR6+cmzrFuBY96rNLLomqozoDIh8y8Vkk/ujPZhh4z5KoAyJ3UCo+T1EtPOxTtCrEVIAQhq2iybng+kaMusE+zambEtcLaZCZShsA3/Etn7A5FFLjce1vE1iD0XmwMxCWHIn0c5jW0Nhfc56EZ484LPdj/FY9Bixaszd32Wnqvnw+vo6WmuklEvdfHjF8iClXIn2QxZZTKVpyu/8zu/w9/7e3+Oee+7BOYeUks3NzbHo1bJzOiThipkse2fpG1k8V/Udup1CYREW/dfDnR7vwFii3W5TFAX7+/uVTUnv9Didc/zu9v+H4IDMKro2QAhBJKdv6toKGjWpes61alPrgFor9QF1lt+jJIeW4UIItoo1Ojqs3M66aevySTJ83kzXkXPGNUAIx7W8vkfWGFJzNd/krTnbW7xKO/WreRshJE5k9Cr6Rw0obFT5eqQ0naL8W6/Y5HK+SYGHFG7s+0rr+yN8aXkrlxwUZxBij1/f+Zczx3+aGbVt39vbY2tri62tLbrdLsYYgiBgY2NjaNu+trZGHMf4/vxzb8WKKhbh4d+isMhzcXBwwEsvvcS9994LHAm/1157ja997Wt3eHQnxyoyteDc7Wl+10sYhsRxTJ7ntzUSNcndNOc3gxCCOI4JgoAkSRa+G/pn9n6XzHZpKEPXRCAczrnKuiTj5JRT3YDMFtTFMLQTte5/R8w/t6wTDOIuUsK1Yo1QHhDIbGwbdQzbdl85LvU3edA7nlnLTt4kFzmJCYlVNnf7HIFB4c2wcVfSsKsbnPGPokvWQcdGw+nIbUizrkZMdEiNX3msEuuRZ/ewb8ed/aSLsBxF9MrolBjWjQXScGAgdy2a6i3+tPsMf7P1fXP397RRd62rMq4Y2LYP2huM2raP1mKdlG37itPJIguI283AMGaRGKyB0jRlbW1t+NrAEC1NUz71qU/x5JNPLv0Df1hFpu4aTvvCfhCJGjRv7ff7d/xCu0xzfifEXxzHrK+vY4xhb29vqjajijspUneKKzzb+xKSHh0TDhfwnrCVoqnO9tw5SSBzCisrIy19E8yMWhkLjTmmEs6BmogiCSl4Iz9DPtKYdqdoII4ZbdLC41p2vGhT14QIIegW68faPrct9vUs78KSbKJB71bRZrTplRKG3FRHoKSAvKYJcFcH7Ojpoqr+RGPeMjp1dHAGvbky5zjQij8++CRdU29nf5o57vV21Xx4xUmwyKltt5tFFJaD3+r6+joXLlzgM5/5DFLKobP0sjpM17GKTC04i/YDWTQWJRI1yaKM47jcTpEyqGNL0/SW2NLfKn5769cQGDRybK7CihQ/46AlszIVUEdkzivNKIRA24BIZWAOn9Q5gcDRVgGOLrGUQL2w7Ji47Hk0g8T61eYPwvBqco5HG1eRwtEzIc2K8U99nvHwlKNrIzZtMrcJsTucn1wUHBQRa/7s5sP7OiJ3ZspZbxJfWfZ1NKz/2tfx+CNBAdtFwAVV/X1K9SisGDblBbicrJERkmrFejA+F5EypFoReUdPfX3hKNzRYiGQhtwqtLBI2+Cj27/Bf3vPfzdzf08bJ3HtOE7zYc/zhrUyt6L58IrlYREFxJ1ikYXl+vo63/u938vHP/5xtra2+K7v+i4A/vIv/5KHH374zg7uBFmJqRULT9UFc1FF1IBlTPO71eMdHLOb6e11p+b1K53Ps6PfxOLwRlf7zk3VS1kH3SLmQDSxHI5XHDWnLawbOssJIVACQNBzBRCynYWsGY+26tLyptP9EusTzEmdS42PXyO4fM/xcnKORxvXatMQJzkoIpClu98b6QYPNXZqt90rojEh1zONmWJKW0liNUoK9ooGZ4Jpk4hReiZk3UvZKRrTzaOAyNPkRlYKTiUM+0WLc2Fp/rGTx3RtiBClULNWIieEop1IqRTCEdCkODS78KQdRvsy1+eVtODZ7rM81Xpq5n6smM9pbj68EgM3x2r+jlhkMQXwnd/5ncRxzHPPPcfzzz/P1tYWm5ubfPCDHwSWK4unjpWYuktY5ovOqNPcoouoAQPHmmXhVs5jEAQ0Go2FP2Z1ZCbjM/v/EeuahGq819FoKp1xgn0dkxiPWMUgumMpYQPqbMjL75IEXkGKIjXr7GjDOT+noY5Sx+b1birH5TMruqWU4NX+GRp+wXHqr3LnDeuZnITExMSq2jnvoIhhJIPDCsduEbPpV29/LWshDwVqZkuTiVn3Vl8a+sanazaAKsHk2CmavE1VuyVGCqwt92k7byEOv1sJR2FjQjletxcrTW4lwYjI0q6PQwzHOYhOCSEICPi93c/wnsZ7CGW16cdp43YvbG9V8+HbyUoM3Byr+Tti0edia2uLN954g3a7zYMPPsgjjzzC5uYmsJwPnqtYiam7hEWxvr4RBiIqiqKlWZAv2wXiVox3UGCutT6xY3Yn5vV3tv412im0S4gnvjqSBc5BR0d0TABC4nBY+pUFqcbN7g+VmID2iPmEEYorOoY85J6gQyiKufVS1gkQ8wwsYMe0sCJhzZ8d5bKujMYMkEJwOWvwSKNaHBUo/Akjia4O2fCSSpHUNSGD9HklHXtFzGZQ3xdLCMFBcQ8Z9aldnnRYWxm4wpMpezpmt2gOhdRw7K5gUv4IAYVRY2LKk45O4RN5+vD/j6JThh6pifjX1/49P3Pv8jbzXTaWrfnwst6PF4XV/B2xiJGpganEt771Lb7whS/QaDR4+eWX+Tt/5++wubnJ5cuX2dzcJIqqa1yXjeV5dH4Xs6yL0JMgCIJhOseiGEsch2Wb75Mcr+/7rK+vE4YhnU6HXq+3FMesitfTV3kle4HUSGI1/kTbOYcSgit5+9BRrryc+iKotRDPjTcz6uLqokRScqVY4/X0DGKG4x3AfhEdK3qVW4+tokVuZ98GDibS9gA8BXvZdI+Qvvbx1fR3Syno6mkzitwoxESkLrXz7bIvpYpixrgDZdgp6s0y9osGTky/31cWbad9FiOlMRO7FUo9dl6HA7ElIJaCv0pe4YXei3P25HSwyAvbQfPhbrc7ZdturSWKIjY3Nzl//jxnzpwZ2rYPRNetYpHnbMVysYjn0mA8X/nKV2g0GvzkT/4kb3vb24Y1kX/0R3/Eiy++OLbtMrMSU3cJy7a4D4KA9fV1fN8nyzLSNF2qH9yyzfdJ4Hkea2trRFFEp9MZLlZOkts9r7+79a8oXAshCvyJWprcKq7mbQzjrkSzxjfvDI5UfQqSEIJ90+Biuklq6hd66YxeS+MfWEZu3kg3Zm7WM9WpartWTAma3aK+ae1u4WEnJuBa1hrajA9Q0nFQ1KfHGethhGI/n/1EU1PtFpUYj56JyEz17U9XiDQl3NS8BsqSjbympEEe3lKdSLDO8G+3/4DCLkZa2YpxBo2HDw4O2N7e5tq1a0NX0UHz4XPnznHu3Dk2NjZotVqEYXii6dvLdE9bsbgsYmRqcB/sdrs8+uijQNnANwzLa3uSJENhdRp+BysxtQScxIm2LD7+oyLq4OBgGNVYRmGyTGO+mTlWStFut4njmF6vR6fTWbgL+43wlYMvsqUPKFwxZjLhHCR6DYhxFfJotC/RJKGsT01LtEegZruSCcAJyeV8ja5u12w0/3qRGTWs3RJSsJWer9120oBhgJKWnXz8fZmrF3lKWd5Kx63J+7a6+XC3RsABXEvbZfqecFPibJSGV3BQTH/+5XQNJ2aITpGS2+n9CKSZsrKfFNhikHoooKUEHdvn16/9Xv0gTwmL+GT8RhhEsW5H8+Fluj+sWFwW9bc3OL/f+9738txzz+Fc2ZPx7NmzAPR6PeJ4fjuMZWFVM3WXsOiCJAgC4jhGaz21GF/0sVexbGO+EcMMKSWNRgMpJf1+/7YUdt+ueTXW8Md7/wmLAhzhYZ2TdYqrWYx1js1gui5J4OGLmloiK6ec/0ZJrU8wwzRCW4F/KMaEEFwrfHbzDd7eOHJGNFYQe7NrqqCsYRp9lHZgLX4esR6MC8HcqsOmvtVznqLp6YCml6OtqKxRGvs85w3tz7Nhil+1ScfgcyfpWIWnwJOwl8ecCevrq7omYs0/+oztrIE5vO150mIsUymMQoBwTWDcbMSXlr72aHhHxzBSmq72CQ9FcKAKOnmEpyxC5jgT8HzyLV7sv8rjjYdnT86KheVWNB9e1EXwiuViUc+jwX36qaee4tKlS/zqr/4q3/rWt3jiiSfY3d1FCMG5c+fGtl1mVmJqCTjNNVOzRNSARR37LBbx4nZSDESUUop+vz9V8H0a+Nj2f+DAFAgBLakOG7767BQRQoBy1edjT0NUE1QpxVT9d847w1PjjS38hRAYoXilf4aH4h2kgP0ixvfmRwW1U3gjTnhSwtW8TcvPUCORrf0imvnbEwKu5mu8w9tip2jO7BEF4CvHW+ka98UHbFWk+I3S0dGUmNrNYryR7D1TcxwGxCM26daJ0k798C1SlA2S23JasFmSaqFV8R2Th1RJM9yyoSyJNfzm9h/yv8U/s3TXseOyqAu6W8k82/aBi6nneVhrp0TW3ThnJ8Vq7o5YxBS/UZRS/OAP/iDPPPMMWmu+/e1vs7e3xw/8wA9wzz33ACsxtWKJWDRBchwRNWDZbMZh8eZ7HscZrxBiuDi4UyLqdsxrR3d5rvdnQ6MITYqxMTu5GnhM0Kq5cqoZKXazzmDrIJoTUVLEwHQURkjBK/2zvKOxQ2o9fOY7+VWZWPie5bXeGR5pbQ9fS62PV2EoMTYu5djJG/RNgDxGU/tBdKpvg6GLX+UYhaOvfRoj87KbNxAjc+8rRycPaFdECWHcJv1K1hqahMxFWIxtoWR37OXY0xjro0YcGWNVkBhv2Ner4RUc5CG+ciipwQiu6S0+sfsl/uszf+t4379iaTlu82Gl1FAQrJoPXx8rMXWElHLh52J9fZ0f/uEfBkqb9EajQaNRX1+7jKzE1F2Ccw41a+Vymxi1yz5ubc2yCZMByzTmWXMshCCOY4IgoN/v0+v1Krc7Lfzm1d/COAOCQ3ttx1buD13njAVR0WPJOVeZljb4Wzgrxc/4hN7shVRuLUGNFlAKXumfoaHmC6nEeKg6gaQc21mDs+Fh49xjnsJ7uoz4yLkWG6UAejPZmKtrhICtrMmDXpnGWFiJk9OduxLj054hIJV05EbS0dGUk6InHb08ohlM17lpB1UVXcZ5KI7ElEWQaJ+eFkh8DBrrDg0pBDQ9Qc/Ap/b/lP9y/b+gpU5PncCK41EVxYrjGKUUWuulbj58JxBCLHQ05nay6HOxs7PDZz/7WTqdDvfccw+PP/74ML3vNLESU0vASRlQ3MnF/UBEGWOu26BgWcXUaSCOY8IwJEkS9vb25r/hNnArz4WL6Ru8nL04FBHWQVfHY6YOsQwQYnrxnRqfhlddv+NciC/rjSky6xHO6JtUGIGnZveDQgqu5S0a3t5Ma/S+DmrDZFIIdnSDjSAdM6mYh3Y+qZFsVIiSKnaLxmHD4Nn4ypAbRaAM19JWZU2WrwypUUQ15h2hMlxMNmrPm8RIqkzUlUo5yEPWgvF5VyLFOYVzHjt5SFcrHOKwH5cAysbDu5kk9jRnwgIPHy0y/vnlj/E/PvCTc/d7xelnsAgejWANXl+m5sN3gmWIxtwuFjnNz1rLb//2bwNw/vx53nrrLS5dusSrr77KBz/4wYV4wH9SrMTUXcKdEiQ3I6IG3GkheDcweX5EUUQURaRpujAi6nbwW1f/Axz2iMqNxCLwJ3pGKVG9iJl1az/IFWdnOHmLOQ58HR0Sz4lcJdoHKbmW3sP56Ept/VLh5FRT3VF85Xitt8GG74ZzMQ/jWnSNYc2lc+umoEzxK3LFRjhbfCkJV9MWDzT36ZsAVXHHEkLQyUOiuF/5GdYpesUGcdCt/HvsF2RGDU0kRimsBxOmIEI4tvobdN3hdUkcuiy6o6iZEOW/1Pq8mXiEwhF6llfyl/nMzl/yoTPvmbnfK04/dRGFZWs+fCdYpfkdschzkSQJr776Kj/3cz9HEJRx/hdeeIE//MM/5OzZs7zvfe+7wyM8OVZiaglYRgOKkxBRA1aRqVvPYI7DMCSOY7Isu6tEFMAXd/+MbX0FZOmc1y0C1sPxhbRzAqWqF+2zbM/rmvjCYb3UjP5SUC7q4xmRKyid9zzl6KN5tXeGR1o7NWM5xvVEQWIaSK9agEzS1QIhBAdFi40a0TLAOoFFklqJc+nMJsYAQjo6RYBU1c5/UKZiGitQFZG0N3strMxJtEfsTc+zFNDJQ8IKMdb08zGhlRvJm/01cifwJlIOfSExHJlP+NKSWYkUgswJ8qxJK+zzyf0/4f1rj9PyZvfJWnH6uZ57+8C2PcvGr0mjUSzf94dRrEmRdZpYZAFxu1nkyJQxhscee2wsAvXEE0/Qbrf56Ec/yvve976ladszj+XfgxXH4nYJEt/3WV9fJwzDE2vcuqxiapku9kEQ4Ps+Sin29/dJknq76dNIajM+tvVZkCnOSfaLGE9Nn7ehCCojL9qK2nop6xxtvz5FLzX+VL+iSdQxIkSjZ5tQgte60814+9qfcqirQiC4lAZTfZWq0FaQow8/P0Db2b/VXLcRhw2DZzXnHeArx6VefZoelBGsqia+hZHkTiEE9Ct6Th19h6HqMiWEo3M4xlR7vNHbwIoy/VG58e9zwpBrb+S94zfYAsNu2iRxB/zSpf9YO5YVdwcndU9bhObDt5tFFhC3m0VOedRac+XKFX7t136NN998c/h6mqbDHlPLuLarYhWZWgKWITJ1kpGoSZZVTC0Do66KWmv6/eqoy2nnn13696Ts0nSwm5ciolEhpgqbUhVPyI0il4rE+ORWEckGB0UproyFSBkCaVjzNcFE7dO8eilt5veOsq7smzQaubFKcbnf5kKjM3zNuCYwv1aprwOEcnSyM6xF1RGuAQd5PLQ4d9JyNWlzX/Ogdvu9wh+mDyYmYH1Gb60BHRMRMfvcrGoufKXfRhyq38AzaCMq3QkDZTnIIzai6bTDUBlS7fFm0mZUSWvnmMz4n4z6+dKSW1nWwUhHUjj2sxgZXOGLe3/N39p458x9WnF6uZXRlXlRrCAIaDabKKWw1k7VYi3q4nzAKjJ1xCIbUEgpeeCBB9ja2uLjH/846+vrWGu5du0a73znO4eNfE/D+m4lpu4ibsUJ6/s+cRxjrR12ib8VLOOPbXCRWMSLfpWr4vr6+p0e1h3h652X+XrvW5yJClLdwuGQwiLExLnsHPFI9Mk5MLbJdi7IraI/EqnIjGbglpBoH+kV5M6nm4O1LZpSEagO6346t16qq8O5Tn99HVT+RhICdrOYzcPGtsb6II8hpgofFOwbCLRHVJEeN/wOU247QAs5NI2YxDnInB1qEinibTSiAAAgAElEQVRhP41YrxAxAzp5gFSCbh7QqrFAB/CUYy89EkTGCjLUMDqkpKNTRGxWODECmJpEDU/Aa90NfG/iOIkcaxVyJL0z8AypVgSHQvywpGqIrwy59djN4devfIb3rz2GL1e34buRO3FvuBXNh+8EiywgbjeLHKXb2NjgH/yDf8DVq1e5ePEib7zxBlevXiUIAtI05ZOf/CTnz5/nHe94x9I7/K2u4ituiEG/DGstvV5voS60i8IiiqnR4zYZQVxGwXqzOOf4F5d/H09lGNukZ8tjFVXU3lhXpndpK9gvInIb4Ab1MTVOclDW84z/PyQYEtNgt4jxhSFSFr/GOn1e5ApKu25RkQooBGzrBpEqiD1N4fJj5XZ7MqIgB+nYyde5z9uu3dYgxiI0SsLVpMUDrf2pbQ/yaMqRr6tD1pkhpooIRJmiOEtMQSlcNw4/61rSQk7mZM44xWOvmKqrcg62001yB/5ERK9s3hziJiNmE6dOIAV5afWHJx2FceRA4BT/9xv/if/h7T86c59WnE4W5d5ws82H78Q+rMTUEYtyHo0yWPu8+uqrvPnmm7z//e/nwoULAHS7XdI05dKlS1y8eJFPf/rTPProo/zET/wExpildfhbiam7iJP4wQ0W4865lYiawyKFr5VSNJvNU3HcTvLG8ZtvfYY9s0fbN+xrBZQ3prDCEMI5y3baILX+2HHVVtDwq8dkHZWfNUASkjnDpX6IEpp7o86Uq9ysRsADPBFgagSJkvBGssH9UQ85x+hiMObM5cPokRF2LLo1SqK9ysa7TopKh7xOETKZG+f7lk4W0g6n0/2cgwIPQSlK0zlRsjAoSAqP2Nf0jD/VRDj0DL08oFkhyoSAXh6Miakr/RaJs3iy7HM1WdtmSMGNZf8RegZt5ZEZhjDgQjh0gfSVobAeXZPxZwcXeal/mccaF2r3acXpZBEXwaMct/mwlHIY8bpdzYcXuU7odrOIkanB2ucb3/gGb775Jt/3fd/H9vY2zzzzDJcuXeIDH/gATz75JE8++SQf/vCHh+9bViEFKwOKpeGkLhw3urj3PI+1tTXiOKbX69HpdJZ6QX47WAQxpZSi3W7TbDbp9/ur4zbCXt7h6b2vIDFkJmQQtlDClQvgEXId09ERmZtOp5v108yMmmkV3isObx4CDB5vJJtc7rc5DJBhLDRmiIfB9xdujsW453ijd7w0Cq2bU9GjfR0NxzRKqqs6NJXRt2tJa/qza245B0W1s10vbw7d/oQoU/1mIYVgL4vZSWKkqp741NQ/Qww8gzlclxxkIX3rH353WRc3hXAYMz4mIUDbif0UR1EtT5Z1AgjwhMcvXfyjmfu04nSy6GKqikEUq9/vs7+/PzS8ODg4oCiK4Trh/PnznDt3jvX1dRqNBkFQnYZ8oyzj3N0qFlFMDeh0OsP0veeee45Lly5x4cIFnnnmGV566SWAU7MeWYmpu4gb6de0KCJqGS+cd1JMDVycWq3W0Olpnj3usszxSc3r/3nx36GdxiIZvRWteUeLbW0F3XyN3Vzh1TW6ndHY1k4uqifQE3MuBKQu5NXuGbpFQLcIK9P3xr+jUdnMdpLtQnKtVy1+RtnJpj+sTN1rT72eG7/2c5wqHfAG1EWxADzPlHVaE+zmE68JMXdOPWXYzePav4e+pjDV548vSyMKbQXbeTx2nilhKx3//Aq1HCgzlu4XKEuh5ch7yg/KXMpWnvDvrn515j6tOJ0syzV3HoMIVrfbZXd3l2vXrrG9vT00NIqiiDNnznD+/HnOnDlDu90e65V1vazE1BGLPBdhGGKMIcsyXnvtNb77u7+bH/uxHyOOYy5evAicnvKClZhaEm63o9+iiKgBixDluRFu95iFEDSbTdrtNlmWsb+/f+p6jJwEf9l5mdfySxRWjIkk5xxWlAuARHvspE36xtVeKMuUwOPXS01SZdIAIKTkStYm05sz3w+QHsNeHEAqR88F9CcFygTaVe9t5jyykeiMc4KMGSmMQnAtPRJv+zMEjjiMKI1iXVmPNbadhL2kMXP8BklP10ewyr5S9T2eHIIrSav8stH3ScgqolpW5OR6fFsl3VQka9Te3le2DCkK8CX8uyt/QU/PdzVccXpYxvvZ9TBoPtzv96ds2/M8x/O8Kdv2ZrNJEARzbdtXNVNHLGJkanD8vv/7v580TfmFX/gFoiji8ccfB+Dg4GBojX5aWNVM3UUcR5Asak3UIpo5zON2jlUIQRzH+L5PkiT0er0b+oxl4CTOhX/x5sfAyamoT0MFCBL20zbZSI/YUPpQIRy0k4STrn+HzKuXSrUqF9U1SCHYLgK2i00eaO4fWp9Pc6A1zTlX8rTwDi3BBVfSNg/5O5Xph8YKlFf9PVLC1bTF25ulscRBFtVGmoYcRqciT+NcOJU+OYpQbswFcC+tTtUrONQhNafrbtIgtx6zLOBnrdWMk3R1QFBloV5zHpS30vE6rEmb9Mg39IfHAVqeR9cYCpGRWZ9/8uon+N8f/fv1A1txqli2+9lJcRLNh1c1UyWLes8eWJ6fPXuWD3zgA9x///284x3v4MKFC+zu7qK15syZM3d6mCfKSkzdRTjnap/4LLpBwTJGpm7HmIUQRFFEGIYkSXJTfaLulpvTx64+Q892OSgUZ8LxhbE2jr2sNRaUcM7h5OyapCoyXRoh1JFrDy+o/7tzYMhRUvJ6d5ML8QGxX0xtE86pqYKyYe3AgVt58EZng7ev7U1t18mimU19nRB08pB2kHGQB8jZJUzD6NR9jQOKqTjTOErCdtrgQrPsi9XV02YVAJ7n2EtiNhvThhjWQWI9lHKkhSLyq69jgWfoZAHtcFwAOSfo5C1M4UGFhboRObpQhBOf60mNc2LM5j7wDM4EuFEr+pGfmCbFJ6LA0PQEL/Te5Au7L/EDm49VjnlRuVtFwc2ymrdxBiYWow3jpZRDw4tWqzVMCxysVwYia9EiM7eLRY3QCSGGa58HHniABx54YOxvf/tv/20efvhhgLlRyGVhJaaWhJO46FbVTCmlaDTKtJlFFFEDVmJqmjiOCcOQNE3Z25teGN8Iy3CDv5l5za3m49ufJzM+vjQwsvi1RrFvHN5ENEQbhaoRRf6M+4B1s8cYyoDqKMchLkAdRqOkgrfSNc7aLmsjrne9PMCb7H9UgbaSYKQyzCrBfhqzHo0LhkT7qKD+84QQ9M06ba5ihJqoNqtBQSc9g6iJrI1/QRkdE8JhEbXplZmtvnXtJfGwSW+/8GvFFHAYvRoXU51kjRyHUxpjqRSWqfamxBTC0Ut9WvH452XWEox8RuRrMqNQsoysFVaDFGiRY53Hr77xJf7m+iP4kzaEK1bchdRFsc6fP48xZumbD98si5ji96d/+qdkWTasiRv8C4JgaLP/yCOPkCQJeZ4PI5HLzkpM3UWMLkIHIkoIQb/fX/i6mmUVU7fiqUsURURRRJZlJyai4O6ITP3KpU8gkCQGzodqKAVyI9G6iedNp0fWNdW1FoIZUaF59VJCzG6e28khGLnHCAlbeQvjJJuHIqhfBETHsDufHIsQgp08ph3myJHUOyMEarJR0gQ5BW912yjPMLNx0+C7heC1TsiZdnWz3FGUgu2kiS9NrRsflHbq/dynEYzPYUeHR0MSrkxbrDkOkW/ItSQ4TGssjGTfSBBlzVOaBTTjaQv1wDeVQivwLHbCJj3yDNZJOEwnlaI0JRmI5MjX9AsfKaHpw67u8c8ufp7//qEPzpqmhWIZHsCsOF0458YiWLCczYdvlkX87e3v7w8zZIwxteMb2KA/9thjPPHEE0sfoVqJqSXhpAwoBlbZyyKiBiyrmDrJMYdhSBzHQ2OJk76ILktd2o3O67W8w591XqCjJQqBpbwZZ1rRK0IEeeUFsc5gItceUU3EqqyXqr9pa6OQaraYchVCRUrY0zFh7tMIDjBzol9Q7l9V9Ep5cLW3wdtaZUNeYwXejBquUbayBuuN4xsmZChyrQi8+QsZjSxdAOcEZw6ycExMpYWHQQxnTUpBNwtYj6vHKYTjIIk51yoF9LVek1GjQFtzjinpSPKAVjQutDzPkOYejdHUUeFwOkR45blmrEAJizbgHUanBlrdCQ3O4+m9F/nxe76HB+L55iMrVqwoWcbmwzfLIkamPvShDw0jg77v0+l0SNN0bL4Hc55l2XA9uuysxNRdglKKOI6RUtLpdJZGRA24m8VUEATEcUxRFLdERA1Ypjm+kXH+P6//PtYFOAwKC6IUGp0iQAgI5fRC3xhBI6wxmJjxXZlRxLOEg40ra3JGUTVpcUIIruQ+7aKJPyONbUA/DxA1V/pcOnpZm2bYoZNFx7JYB8hMwG5fcbY5v0YvyT2EEuwlMfe0u3O3V8qR6gaemt87Sxs5FIA7SWPqvKhzJjz6jEOL8sIjF2pMvga+IauojwKo07C24vt6WlOkbVJ3lBRpjEAKhxKWQGnA4SloeNA3hl96/Wn+j+/88ZljXxSW4QHMiruXRW4+fLMsohHHIDoI8Cd/8id84AMfuMMjuj2sxNSScKM/mNF0viRJCIJg6YQULNdCf8DNjnmQrqC1ptPpLNwTqDvFjfwW/rr7Bi8mr5Mdhh7agSM38lBICXBUOuvNqnuqszUHsFYB9X/vFZbmjMiLNUeub1UIAdtFTMNoAm+26CisGquXmmS3CAm93tx6qVE0oK2amUY3oJeXqXdGCAojZzoYAmgTs5t6nJ+TRi8l7CYx51s9nIPUqSmHP6UcVsdIr1q4hr7hIIno5AGiIq0wq6qPOnxfldCKg4LCCHzlSHOPvTTCCIVnQ6w4emKuZHluaafQWqG1IAoKGoFGEfDN5DJf2n6F7z/7jtmTsGLFiutmXhTL8zziOMbzvKHF+6jIWhQBs6gGFFAairz++uv88i//Mo8//jhPPfUUGxsbwHj9/rKt6+pYialTSlVNlJSSMDxeT5pF41bVHy0ig6dl1trbKqKWSbBe7zj/34ufpLAKcOAcBk0nD48u6DV1QqqmXspYppz1Rml6s3PU1AwhBtDJPMJw9kOPXAfk0kemjnZUn3In5vxsrLRc7W9ghZlbLwXgrIeQ5THY7je4pzXbhj+zCqEOe0T1Y863Z2+/1/fBcySZTxzOToW0CJyD/TQaGk9MspMIzk33Gx6SaI9CysrqL0/ZWiOKKqElBKSZT8cq+sYfnl9uUswKh49H4cr3K+VIch9tPNq+wwjHL1/6An9j88GFN6NYRaZW3E5uZWrbIIo1ihBizLa93W4PbdsnDS9uN4uY5jfA8zx+6Id+iFdeeYXXX3+dT3/609x///088cQTrK2t3enhnTgrMXXKGE3nm6yJWqbF8iTLOPbrHfOdtqdfljm+3oXb57a/znbRwR4KhXXPYy9jrFGRX5Hi55yrrYnKZ9ielyYE9eJGWznXztza+cfBOIEnHTt5jJJ2yowBSlMFT803iigkaK0I/Pk35k4SDM+TwqmZ0SZnJU66YSVTISTaiJlRt8SVW3ezYK6Y8nzHQRpxkIe1LeilZ8bSASfp5iEoV11XpqrrowB8b9qIwrmyTksLNZYyqUUBVsJIFC/TloFOEqL8p61kP4OG8jlQXX7x25/nf35secwoVqy41dxu8T6ITBXF+LVoYNs+EFkD2/bJWqxbKXYW/UHG2bNnOXv2LPfeey9f+9rXePbZZ3nxxRd56qmneNe73nWnh3eirMTUkjDvByOlpNFoIKUkSZKpH/7gM5ZhsVzFMo79uGMejSIusj39InE958JvXv4Kqc1BlH2Zuma846uzjiCYnnNtFM0awWQcGB3T0xYOP07Jsv7F2QDp14upfuaPmxRUoI5pBAEgZNnL6YLsTBk89GvS1ybJ85CukTTDorKZ7yhJoSAYfDfs9BvcW1ML1ekHyJG5lhL2+g3O1USn+pk/HK/z3LFMK/raR1MdWSq/U9Dph2xWuAlmhSJHYnNJy5sWTFAKpComhZa1cK3bohASawRypOZNCAhFQMrReaE8i9FiKKikdBhTGl8c5I7NKOLZ7rf52t47eXLjwsw5uJMs+oJuEVnN2Y2zKHN3Es2HbxYpZeVa704yWPe8/vrr/MZv/AbvfOc7WVtbo9FocP/99/Pcc8+RJAnvete7sNaemoyjlZhacgYiSilFv9+f+8NaNkEy4DSKqVEBvAjOissyx9dzI/33l5/lrWwP5ZVCynMxRkwvqmfuthN0c5/UeGgrsaJ8Lal54ujrCC0SAmnYaGg8NX6zNXb2zUMbge9rZkWTjBFj1uRCCt7qtXn72v6YlXtuvLk1SgD9XIEP270m5+ek7Rk5HgTSQtQaNfSLYCi8hmMSEmtFpXV8Nz1q1CtEKYLOrs02uUi0j0HizehjVRfo2+vH5Tk/4/j7Exbqowz2wDq42m2hD2em6hTNRTb2GxNiINTKjaU4MjWRyrHVt5xpCH7ptS/wr9d/Yil+myuOx6IIgmVkkeuE4PqaD08aXlzvfi2iAcXgOhWGIZ7n8dWvfpV3v/vdvPvd7+aRRx7hPe95D81mEzg9DXthJaaWlusVUcvOstZMVS2ApJTD4tZFOnbLJKaOM05tDL/1xl+gvHJ+M+2hKtLL/JpFuHOw1W9QOHW02JaHkawZC/eu0YShIMPjSuKhiPBkwZkoR0pdOYZRkjzAr4iUjZIW3nTESQku729w38bu0T4c83BqJ5A4MlStMALIC4WcuGsIIdhJYy7409EpU6FTpITdfszZ1rRIyt14fZCWolZ4DegXAQ0Zgtep3Ub5jl4y3jeq0JLs8Ngq5Ugyj7giYigEpLlP4E1HGwPfkBeKvTRCj3i5S1XR40o4pPFwI/VyyisjmwM1H3uKxJTnlpKw2weiPv/Xy8/wj7/j+2v3706yEgbXz2rObpxFFBDzmBfFutHmw4ssLM+fP8/P/MzP8Nprr/HWW29x9epV2u02jz/+OLA8643jsnyr07uYgaBotVq02+1hv6FFWYzfSk7DD08IQaPRoN1uD23O74Zjd6f4Z6/9CR3bAeHItURbgRbjznfOuan6paTw2OrH9G1AgZpSA8ZOv3b0gUzZlRsgsz6Xe00uH7RqzS4GaDP/slyaaVS814Mre2Vxr7UC7xh9nZwDDuuFhBBsp83abXtptYGNFYI8Hw9BZbmHqHHky5yait7kuWJyt6SCg35UOx5tJAbBgS5wc9YUSTGuApOsPRaS1Lre6MFTlqo1ixCwm0Tkzpt6Xevp4+hPCGApwYwc7wJNJMpxSOVwwG5m+Oz2t7mc1IvFFcvFSkzdOKdp7gYRrE6nw87ODteuXWNnZ4c0TYcPzM+ePcu5c+fY3Nyk0WjwzW9+c9gi5aQNKKy1/OIv/iK/8iu/ctOfJaVkc3OTJ598ku/4ju9gf3+fT33qU3zsYx/jypUrS7+em2QVmVoiBuHhm4lmLOtFaJnFlBCCOI4JgoAkSYbdwReNZZnj40QpL/d3+f0rz7MeOworyLRH0/OQYuJ348SwRsjZgJ3UwyKxDnxRnXYZCkVpDj6N0R6qps4KAUkRkDqfILOcafQrU/DEHKvxeaRKst+LETikP/94Jpk/ZpbgpCDJGsRhReTIqMpmukIItnsRF4KjyM9oyt4kUkGWtYmiI4HQSaLK+q58Rq+oLG2CEAgF/SSk2ayvVVOBodAS37MYK+hqCSPCVnm2TJ+siBwq5UjzgMakEUURo02IE3rKNVHKUoBNGlGYQqJGzC7kxPelxgwfc0rpcE6SGcv/8s0/5tee/Pu1+3enOE2L29vJas5ujNN+vs2ybXfOcenSJb785S+zvb1No9Hg/PnzvO1tb+O+++7jwoULRFH9w6d5fP7zn+fee+8d68l1vQzqoJ5++mk+97nPcd9997GxsUGj0QDgc5/7HK1Wi3vvvXdVM7XizpAkyU0/hRgsmE/zxWiREEKwvr5OkiTs7e3d6eHMZFlTKav4J9/6Y5AaiyUpPIQQaLLJ8h2UsFgHWdGiU4zUs8yIHnlqyuh6SG4E8Yz+SMZJfGEpULzVa9H0Cs40jnLrreOwXqoe50DOcOgTQrCnIwJrah0HR8kKDybGvJ8HBH4y1UNqsl5qFOs7+umR4MhqhNeAvUzwtpH7fmq8aqHmQTcJaMXTBhH7mRjexfScWjQhBN00ZLOVsN+L0RPHWIhSWLYa1UYUZjLSZD3e6nkgLSZX+NF4FFBK8KyPleMC3hcKOyLGlXKYQiIORZXyLEUhkar8W1E4Mgxv9Xt88sqL/PC9j8/czxWLz+oefOMscmrbrWRgTPWhD31o+Fq73eb555/n0qVLPPvss1y+fJksyzh79ixPPPEE73//+4/9+Xt7e3z961/nB3/wB/nc5z53w+McrCGeeOIJNjc3cc6RZRnWWi5cuMBTTz3FQw89NLbtaWAlppaIQa+om2HwJGDlGHdriaJo+IRo0UXUKMsSmZo1zk9f+QZf713mTCTo5opy+e8OLcLHaciQ/TSimPhMVVMTZS0Ymddm+YmavlTDzxWSgc2AkIK+DaAb0wr3CXxDmvkof/ZnpIWHnGO5J1Tpmhc1DmabawDaSSSTosmx3Wlxz/pR5CjLval6qbHvFIK9JKIR5TgHTh1ZolfiOw66EWutFGMExqvPnuwX/pSYynIP6x29Q/iOPPMIZjglWkox2tNejSqsH68faYpC4h/axx90GyOfUf2+pHCEkzVmSmOtGzuGbuQTJv0wyuiUIKXgn7/8HH/3/HcsfO+pFbNZhuvsoiKlvONmTYtCq9Xi4Ycf5uGHHx6+Zq1lZ2dnKrI1j9/7vd/jR37kR24qKjXK+fPnOX/+/Il81jJwemThimOxLKlcy0oYhmxsbCCEYH9/f6meoJ2GJ6XOOX714p8iKCNO9jDU4QnGLL+dg4NeyLXMUUzst0TW9kGKRDhTnMyqUbK2WqT1MVxJmuz3ojKNbg75jNqeAc6B9gRb+62521Gzr5kUZPmREuhlk3G9is87NHropcezZO8VZUis269vuguA58bGUr5nun4rzWY/H1S+Y+ugiat5KKU8S5ZUf4YQkKblHHS7IaNJkNK3WD09fhUYzMTrTjhCNz525VnkSDqj51ucPYxUKYdzDoMls4ZffPGZmft4u1lFWa6f1ZzdOKu5m42UknPnznHfffcd+z1/9Vd/RavV4u1vf/uJjsVaO/avqinyaWEVmVoiTuICssxiapEvoEEQ0Gg0yPN8WBwKy5VWuSznxqxx/sqrz3Ct6ND2PTpFMdxutAuRs5L9foBzgkBMi5uicHg1V8bC2rEmrePvE/gzokq6UIiaprhCCjouxGUQhnqmYLNOoOaYWBS5h5SQOUmvH9FsVD9tTHOfuiCHlIKdfoMLwQFQXy81th9CsJ9GeMJOpQ5Wbh9CPwkqLdQnP1cXTcJgf/iaEQFMJFxaz5U9nmY4JnbSEC+qf8iR5x5hXP3kW/oWrSVdHYw9ihQCdK4IJsxMhACdKdTE64aK7SxjTXxHrRjbvkdXGwpR8Okrr/DTD76bBxobtfuwYrFZlnvCIrKau5KTNJ94+eWXeeGFF/j617+O1po0TfnoRz/KT/3UT930GO8WVmLqLmNZFsxVLKIw8X2fRqOB1npMRA1YxDHXscznBkBf53z86vNlAa+1w31xzqH8w7oVE7CXSoSsFySzAiSm9Per/pvx8P16Yxht1JTT3yQpiisHLc63erUW6oHHHCkFhVbgHfZq0hENoxFqWiBk+XS91CjWL3s9tRsZTs5sxzQyQOj3fYI5+zrgIA3R8zoFAz2niQ4NIrLUI68QwlIK+klAq1VtRFFoSSYkyrpaow8ZmFojCs+37Ow2IKhoeeC5KcOJ8vVpIwo8g8kkKjj6Ds+zZXrk4f+rQ6MMIQSJy/HxKbD40uNnX/gCv/43fqRy/LebZbm+LRKrObtxTtrBblk5yXPowx/+MB/+8IcBeOmll3j66advWkhV8eqrr9JqtTh37tyJf/ad5u6RjSuA5TYZWKTFvu/7rK+vE4YhnU6HXq9XeWFbpDGfFurm9J9++2n6NieWIWY0YnHY7yfNPPZTNbwJ+TUpeVFQc4Ny4lgNcOvHPfs80FqiFFgpudJt4cy0yslzhZvR42rAaGNgIxzbB9XpfnqGU96AgzwizTzEMR+9WSvoFfNTAgdkzjvWOISCTicGyrTAOsyM21ovCRFCYtL68UkFab9aYWapR19X/00qhymmpbb0HDqvkOCT54NwRCPpf1JSOn4wiFyV56tVmm/3dvitS3+9urYsKSsxdeOs5q5kmUTl4Hg9/fTTfOITn+Av/uIvlmbsx2U5V9V3KSdxAbEjT+yXjUUQJp7nsba2RhRFdDodut3uzIvCIoz5uCzTWCe5nB7wxd1vYazAm7iqKWnppz6p9obrV2dFZSqdMQInq1O8lAlmpt+pCoOLUaQ3++Yx1pdICi53YrKJGqAsP0buHKX5w9j7PEfWX5u7XSU+XO20j/W9AFnmYT05Nfba7XOfNDme+MqFwDlIZ4gv4TnSZHqenANty9ezOddSW3FrdA46SYjwwdYdalt9glR9nR+aqc/pm/GicenZ4XVf+hZnwWAJleRfvfI1VKvBuXPn2NjYoNVqEYbhbX9YtlrcXj+rObtxVnNXcqvE1GOPPcY/+kf/6Ibf75wb1kgNjtNgXfE93/M93HPPPXz1q189dbVTqzS/u4xlXjDfybErpYZ9Enq93nVdCJZlvpfl3JgcZxiG/PxffRZtDcqGJC4Zih7nHMYKtJNj76nLKguFB1Sn6iW5oVGjZYxh6PJWhdYSb8bfoayFGnPVU7CdxJxxKVFUjslYMfeirQ9ttSfZLgRnc48wKMVilqvaeqlJejrAswZ5jB5YeVFanPezgHCGs96AwkmsZG6tE4AIYG+vgZvTPysrPKJ4/DimvZCBF4TwoUgUflz9O/ZCQ54pgvDo7/1eiJFl9Z3OPILG9L7JwFbuhwoqelgJsIU6tLk/Eh1Kw9oAACAASURBVFxh1uCgKGiFPoXNsA6U5w5d/krfP+dpOqnlH//Jx/inT/5dPM/D932CIKDZbKKUwhiD1pqiKCiKYuWAtmCsBMGNcbdao0+yiKJya2uLc+fOVa4jrLU8+eSTd2BUt4eVmFoiVgYUt3/sgy7kUkr6/f51L0gW7WJ3WhBCEAQBcRzzhTdf4usHl1A2xFMCM3KKZLnC85iKKNWl+PkS6mSyNyOyVGgPVVGTNPx7ofDC2QuAyt5WSrCTRZyBUlBdh5iZxEnopC0Cf690psv9Y98BjIBuL2StPd82Vx9WVhkJFAH49Ra9RpdCSghB0g9otuub7g7YTyO85pyHGZ7FaIkaOWa9if3V2sOvPdqQpf6RmHKidB48DPrUBcaEAJMpZFxjRDHxuvLL6FSe+ORGgpAURpILj53EAQEKSZZZAmWRvsZYsLKsnfvy7pt8ZesN3n/u/qlrk5QS3/fxfZ8wDPEOXVVGxVVRFDd9jVotbq+fZb0HLwKruStZtDS/PM/5yEc+ghCCt7/97Tz00EM8+OCD3H///WxsbIxFzE9Ts94BKzF1l7ESU8djIKKUUvT7fYqi3lhgFss038syVqXU8En8wcEBP//Xf4SPz56xxDIf6og0U1grmZRH1lLZy8k5RyHTytxna8EP6sXSvHooYyVebavf8vPLNMCKz5GloNqwpdX2PBsIbSSiJuKUCcdup8GZtT6FVTObEw8oitKwo3AKU0jUjAib0XJoVCGEoNMNaG/Wi6k09YfnXEGZwjfvFMysQhRu5jiEFIiiAV4XKCNAhRrvemX96ijSgDLKVNZQmaSJGwlnCs+hc4kXTI9B1H2eGjeicA5EHnLQB+EfuXtkUiOsGKakGiw+ilwLKCQChxcblGdxGn7xm1/hd8/9+NT3WWvJsowsOxKoQojhbyeOY9rt9rBvz6jAOm0pOIvGIkYVViwXUsqFOoeCIOBnf/Zn2dra4uLFi1y9epVnn32WL37xi/i+z4ULF7hw4QL33nsvFy5cuNPDPXFWYmqJOKmaqWV9InA7FvtCCBqNBp7nkSTJdTe+m2RZBMoyoJSi2WyWqXvG0Ov1+Levf4193WM3s8RKobzyN+KZGG0tfkW0qK6vboCPUNWRF5Mrgrh+8V7X5HfAvPQ4rRVi1s9SCq51m6w1M/xg9kLXidlyq49PM/eO7c5X5IfddAV0uxHrm/3abdPMHzvfM98SpR5+VC1ER+3WhRIUSUjQqI9O6VxiPUme+MT+7ChWR2vWBuIsa001VBZSUCQeYav6QYlUjrQfEDUKtjI3lRtqtKoUU7JGaEnPYXKFjMreU71ueFibJRj1ZxQCGjKg546uPVrbcp6EwDlB0ZWI2NAOPN7MOvzLb/1n/ptH3ztzPuDwgcFhZGoUpdQwijV4iGStnYpiVbESBtfPas5W3CyLGBFuNps0m03uv/9+kiRhb2+Pa9eucfnyZa5evcrrr7/Ovffey4/92I8t9Vq0ipWYustY5sX9rRy7EII4jgmCgH6/T6/XO5HPXbb5XsSxVqVarq+vU1jDb176czpFOcf2sNbJap/dvBQclfbWNZEDbcCvqYlyNcYCUEYYZlmeWwveHJvwWEQkzE6hM1ZxkDbYEL3aqIy1AuGVdTV1CAHXug3iml5Kk3giID+M7hU+FKnCj2pqjRjv/SREaVW+XiGmnAMzoSCN8YB6kZQlAZQBGiLLTAEqfMh7AUEzZ1e7SrslM+d8N07S64bTfucA3lHkahJpPWD6QYx1Ap0puv3gKASnHG5iXxKXMxqmc54rA6xyoJQFed8jigWeEPybiy/wI/c/yrm4OXN/avfzsJlmmh6dg0KIocBqNpvDNMFVHdbNsxJTK24WKeUNZ8zcCnZ3d3nllVd43/veh+d5tNtt2u32WCPg/f19dnZ2SJKEOI7v4GhPntMjC1ccm0VcMB+HWyVM4jhmfX0dYwx7e3s3HY0aZdnE1CIhhKDZbNJut8myjIODg+HiTQjBz3/jCxhnD5f5Ds/XFIUkKcrePKoiBFVaotcIkZFGqlpLstTDZQ16nZC8UHQ7Eb1uSJL4CO0fObQVs13+8tybHXUCevn8m6KjrF3a7TawpvoL88w71vmmjU/Rb8zdDqBwo1ETQS8Na7fNKtaHhV/WC029nvlTd6BcWfJuvWNhNrAKV4K8xr58bPtCkfUCirr590Gn9S4c0rf0iupnjkJCaKst2p2nKx3/YumT9qOxXEYhYOiMMXi/dIQjzzqFYNwp8PCBwEHqMKkgQ/O/Pv/F2v24EZxz5HlOr9djb2+Pra0ttra2hg6mURSxublJs9mk1WrRbreJogiljulqchezElMrbpZFO4estXz1q1/lIx/5CF/60pd466230FrjnCNJEq5cucKVK1d47bXXeO6554DTVVO+ikytWBpOWphEUUQURaRpyt7e3ol97igrMXVjxHFMGIYkSVIZJdxOe3x5+zV2TV7WgVBGZbLiyG1CVfWEsqI6z0975IUjyX0MYmyx61yZgpdDqWg0dDQ4G+BZUNaxsSagJu3MGImaYXTgHFBjiDG6zaDPk/UEe/tNNje7UyJOuYBixncNiEXMbpFxZk4NlM4VxURzXOMLsr5P2BgXgEU2vS0cRqf6IWvheHqgsjFU1JFlhUdQ4ahoCokZqXsqnCKscV4c4CJLrxtAvf4rzUFqIm1ZP8DkPp5fHYHpZYagQtMJCbbvI0dSCE2iOEgFFAIRjZ+DUoGdqBeTUox3Z/YOO/qWtn6IwZ+lQOWKr7urfOy1l/jRhx6r39kTQGuN1pokSQBot9torbHWDmuxPM8bSykcRLFO0+LpZli0hfCysJq3IxbNgOLs2bP8w3/4D/nmN7/J888/z5e//GWKoiCKIlqtFlEUkec5YRjygQ984E4P98RZiakl425enJ/UvodhSBzHZFl2y0TUKHfr8boRBsdmnsD9n579BInVR3MrTOlON0iLsg5ZYTLR8DzcYQTKWkGWeTjnk2lXWpdXHCpbyEonPiEFRpYi4moqCdOAUFq8MBl3/puXSnYMi3JTyLEojvYF+7tNNs6MC03npg03qugXGpSg043YmFEDFZiIKsHTz6bFVJ75lS6CALnHVB1RUuOlYQKHTqcFTpaM12M5j8rtxrCCJPPxwhlpmL6rNKJwFnLj4XsKa3VldNGFFpNLVEXt1Kjzoskk/Swsj2FFmqmTjsh6ZCM1fqkoyojVoKZMgsvF8K6tlEAbh0OgC4ilx7989T/zX93/MLF3vH5kJ4EQAmMMeZ7Xml00Gg18vzx+o2mCRVEs1ILwdrISBdfPSkwdsWgGFFA+oH7ve9/LAw88QJqm7O/vc/XqVYQQrK2t8eijj9JuH/UsPE1ro5WYugtZtB/gcblZMRUEAY1GgzzP2d/fvy3zcDeL3+vheo7NS50t/nzrEqk8XMw7h3ZyTLRIUa1hhDRoI0hTn3zYe8ox09RuhlOfcyAOIzsZjswKXD8mcI5mnBEEBjUn6mQKiaiKoo3gOR89EfXJfUl3L6a1kRwOBhJRzM3dFlaSSoNAUChJ0g2IW9WprZ3EQkUmmw0EaTcgGnlfIENSqiM4Qgr6vYi1oBRuppAklGOY2laUka9JkTRqVjHAtzGObu2+5r0ALSXKmVpNW2dEIZMGRggMBpkoRIUduxBlxKlKTMnIYlMJnqPfD47s1L1SFIlgorFyYab2r6E8+qNzqo7q4bSwBMIjdxY8SFKDJyU/++df4CN/40O1c3K7mGd2MdoTa9Ts4m6oxVqJghtj0aIxd5JFMqAYrHO2trb4gz/4A77xjW/w0EMP8aM/+qN893d/99i2p814YsDp26NTzt3ca+pGxx0EAevr6/i+z/7+Pv1+/7bdyJbthnm7x+t53nUfm5974f9n711jZcnO87znW2tVVXfv2zkzczS8SKRIBlYUGqISJoAlyBAEx4AUGxAkQAgCRAEEBIl+5keCAHF0caKECm0FSow4iplQiBNFsS3aQSBZEmVLojicEe9iKN4pUqQ4w+Gcy967L9Vdl7VWflR17+rqquo+e/Y5Z/fsegFKZ3bXZdWqVVXrXe/3vd8frfkB2FxtOBE0uet5K0zmwngekaHXxlLd6a0K6XDi85lsKBYiQqYUp4sB9x+Mttqm+x089cQ3Sz4zpVnMwmKbPNqpCG8arxcwnuVBaw5W3nG8ODcXeWMexrZ7Apya8l6xqTLVkYXgqnlETpE1VFoe+wyXtR8nyTUYcPPujrG1e+AdnCYVFcy2fyp96Gmb09hMM59E+PrkocnQJPTUuWiq8otqvlBY3lc4XerL/yjdFidxxmfP7/PRuy+1tveq8bDEYGl0MZlMePDgAXfv3uX09JQkSVBKcXh4yDPPPMMzzzzDrVu3ODg4IAzDvfxmteG1dC2PEz0JvcB1IpbLe/KhD32IxWLBT/7kT3L79m1+93d/l3v37gGs2vpaJFLQk6kbiZtCpoIgWE3UJ5MJs9nssb+I962vH1d7tdYcHx8zHA4f6t586JWv8eXzM2a+cB1TdtPcQYDAVI7lQaUDwvxwg0RBcc3KNJ+7+K39g+VbSAiUCosLOJsPmJ0P8C2HiYLtr+HYtttSj7MQ8gCf7hbaZWtuDF4J0/Gm/GQThe84pA+E+bRIRnLJ9gLAooR4UmzvXXdbRQnJNFz9t0qHzeNSCdms+VguE3JdFhDOt/RxCJJcHCebBjhdIVOhx7ekZ4nxrWQtzxR502c28JvjQYAaMbR4QtvRscaDLcduudlkkfHf/n8f3qtJ57ImVt3sYjabrcwunnrqKe7cucPt27f33uyiJwWXQ99vF7iOffHSSy/x3d/93bz97W/nx3/8x8myjBdffPFJN+uxoA/zu4HYtwn+Eru22xjDaDTCOcdkMnmiqzf72tePCk0257vCe88vfuZDDEJhIRARMEkswbD2QcmLyS8UE+rFIsBrj7FZsxGBldZCqz5XqKZ8mCW23FvvC2fBuWiS8YjDQUpYsQl3VshVSqeVuVNI2PozaOF8PET5DA47mwM024EvlGJYszzPFgFs4WcLZxj5hHmsO00elki1wlkh3eGRSJWs7M+nc1rzsTIlhA3FftOK/bgLfKEiNuTRLTGfKwblNcyzGjlU4OcGaTGiaCoObeea1OuCINUMJ1BAUvq7VxEsTSYu/iT1r7Txa0V9V1xNChLqPcRJzv/wmY/zn/zlf7P1eq8Sj2pStwz7W5pdwEWYoDFmZXaxDBOs5mP1eO3hOhKIJ4Xr2BeLxYI3vOENQBERVJ17vdaVqZ5M7RmusnDvPla57yIm1aKus9nsWlzfvpGpZXuv+iVdLYYcx/GlJjvv+fIn+NZ8jh6m4GCWeA7DgFTWXfSWluhpbEidQkqFwRnXSFkOTciipcZTV30poFO1gvUaRE4L52nIKDGMjheIQGAHJZlqRzpX0EWmgCTw+HHE6LC7VpV3YAO/kaskIkziAU8NLgwtcitbyZQ3EJ9F5C1hiBvQ4CYnWLMDiTZCOg0JD1PaLTIKhSyfBgRH62MqcZUcKxHsQre68gHY0OEtkARYs/nBd0paQzl85HC5rBROb2G+KJ0l/XpR3hWaDqaBZJ18pSqHhazGgAgFb1t+vY2HjCJRUBf/ntiU3/v61/j33vbdPHvJ2lO74nG/35Y1septqBYdDsqCcUvnwZtudvFawXUKbXuSuK79kKYp73nPe/ie7/kevvd7v5eXX36Zk5MTgFWdutcqXttX16MR+zbB3watNaPRqLRgfji143Fgn/r6UYyNbTbnu2CeZfzff/4ZRqEiEdB5SI5j4dK1Oan3niiC2TTAKrUKAdROQdg8LuI0RTWXC+rOl8opC+Q2wzmglru1VKmy8xHHh3Ns6hsNHtaOYxXdDhlF7lYSKcx5QHjSTlTtQiMNuUcA1gjEIxgV1CVv2a6OhRj8Q3xJ7k9BHXcX3F0icRqJA9DdbclyTVCxSbdJYaNeRa4E3aBgLSFGyGcBSWqaSWTo8XOFDJucHcHODaokdOkkwi8vMPDlWKntFPhGI4omxh8oRVYthhxw4ZtS2d4LHAQBszwn9Za//bHn+ft/9a83X/AV4kmvkC9rYtVrBC7dBKMoWpldWGvXVKzr9r3o0Y7rqMY8CVy3fliqTT/90z/Nl7/8ZV588UU+/vGPk+c573vf+3jzm9/MG97wBu7cucNb3vKW1ySxeu1d0WscN9mAoo5lyJjWmtls1n8Urxmuso7Xf/fZDzHOMoJBhs4DktyB8xv1elyuWFiNrZEYa11jlJj3HlWfzFZ/awn/gyIEUDqUKUkNviVEMNfCND7E2BSzjUypriDAsi2JggBm3jDIwZlmQmXT7nC8B4niViSFIrdFDVsdM9e4VGE6SFwVmVcEE4M+2f68+hCS2QCi7veejTx2odBl2Fwy3ywIjIZBGpFEzfXAAFKrSBtUqSVcqtENZArAlWPFxpo1ii8gqYKmseIaVKugVJoqhM4GtvibKa3/xSOJ4MPaPkqYFZmBzFzGZ+/d51/+xZ/z177jO1uv6dXiOn9L6jWxoPhuLFWsat5V1Ukwy7JrNVntUeA6Odg9SVxXZerk5IR3vvOdvP3tb+f8/Jwf+IEf4Gtf+xovvvgin/nMZ0iShJ/6qZ/qyVSP1wb2mUwt2/5qQ8Z6NOMqxsZVW9C/HE94/ze/SqiFUAyzvDhe3f7cpYrIhSRmM2yuVQVJFTJsDgfdli+1zaVvpEKmLeGDACmOOAs5mshGiNrFSYDAsY1OuWVInhbOx4aj21lzDactbbYa4rMBgbFbQ/xW+ySKVBTabVebvAVrCne8QYdKVIVLAoi6QyERIZsH6EFBlFKnG8PoprEj6CCTeWpAqcJZr6n9ocfb0lWv3oTQk8eaxWKTyHntoal/SiOKtb8LRX2pSn6XFxCr8BUl1Ov1Ir7V/a3zoAQTKv7uJz/OD7z+24ke4QRmn4jH0uyirSbWcDjk6OgIpdRaiGCe59cidPwmoydTBa6bMlXHciH12Wef5W1vexsA9+7d4+tf/zqDwZbVwz1FT6b2DFeVM7WMKd8niAhKKU5OTojj+NIhYz3a8WrI1DJfIc/zK63j9a7PPE/qHEeRYrpwqxl4NcTOLhQ2VwQNxXW9by7gC9DhiE4oGttQsHYJ3RHiBzDPs843bFGAVZi4gNG5MDjZJAx2rpFg+/2omkrkgSDxIf5gs/5SlzHcErFWRMn6ZL7z3F7hjWDHAeZW98KGiw0owSlwU4M+6landGI4144olVaCs0QWQGSBzOBMSyjjwGOaQusoi/Si0Qnt59LgY4O0tDuLNb7p3BoCq8lVbTL+EEYUKvJYX2GgAYSZIdXFMaUMJyyS8YDME6sMk1t+/iMv8K7v/6vN1/Qqsa8Lc1X0NbH2A9exUO2TwHVVpupY3isRWZU7eK2iJ1M3EPumTIkIg8GAKIrw3jMej/fiRbKveNixUTX+uGr3xK9MTnnh7jcQPNMkL+QoAOdR5QTUzjXWKQRIyDcFmVwhQfOKcldOlMt9qzrjHZ0hft6Baznnapu8NJYQISbAnwrD2+shaC5V200gHPhgfeb9wFpuLUJkcEHQbKJ2euOLEhZJQHTYHg5XPfeyFlUiCt2i2qzakF2YaWS5ajPoWyGZFYTTzTSqJedtBS1k0wBrdft1SnEs3XAsNy2InjW+Wht3czuajSiUVVgfIs7hG8aVTZrHU6jX86GKa2HDiMIpDzMFVsAJHiHNPUYH5N6hDESBLor8VhoYDTQf/OY3eP6lF/n+N7yx+aJ6NGJpdrFYXCjMVbOLw8PDVchSVcXqwwQfDa67IvO4sC9kap/mma8WPZm6gdgnMlXPuzk8PNybti+xTy//h2lr1eb8Ubkn/sKnn8MBKpeV3TmUi/MCeaxxvpg5HpiAuWy2QbWYN3TlSwE4Uy/lWtk3U0iDCrY6Z65xW5SrerPm2uBPhdHti4lb4T+4xXxioTcNGkSYpwEDk60c5uxC75QH5S2kRjAzjT7YQggXekVwvRbySUDQoU5VTS1sWJKkjnPk5b3NTKk6bWFfGZpsS/nEzAiqIcQwy0oSpgXmCkZthcE8PhGklseVnWoy41FzgYPNe+aioihv3YgiNRZJZCMvbBgY5mTF7V8oyAqb9TXjRC2o8nptDnHqibTBRMIsyCD3zFyGEcW7P/5R3ve616Ov2Jr4pk1wt5ldDAaDVZjg0uxi+T9r7Y3rr6tE33cF+n64fnhtGr6/hnFTDCgGgwG3bt1CRDg7O1utDO5D2+vYpzbv0lYR4eDggKOjI5IkYTwePxIi9dFXXuTTZ68wlABXi8fTxiOLcEWkABauOa+mrYYUmWrN8fEZnTWJDnQ3K7HbRR1cw7kXWpOfjS7ascNyl8ua71cinrRSjNc2nbABfqFBhCQJ2Pa6sen6MRNRhb1403FT2Qi/y9J2duQzIV9evxb8dLv9urWKcBtjDNg4lp+rNTv0tgLLS4RJLfEqVmS62L+1yxSoRcs9aLiHc8lgKuhxhEsNzksxHqr9u8yPqpwjTT1x7CBWRe4VYELF3WTOuz/20e4L63FpLI0uxuMx9+/f5+7du5ydnZGmKcYYjo+PuXPnDk8//fTKgTYIgr35NlwH9DlTBfZFmbpJ6MnUDYT3/toWTouiiFu3bqGU4vz8fM2FCfaLmCyxT23e1tbhcMjJyQlZlnF+fv5IzT/e9acvIAjzeVbU0lnCeYYSkdjqtNXjGsLuvPOtuT/S9S3Kup+P1G1RbLYYRnhLa/jeWAnxvQEu3VQrmtBcPavAPBDScXEiu+Mj78oJuC3zoLqQ+9pBS3WqCXa+yQzzAFwLwXAzvSYfNQRwbmCQRywm2ycZ1tZs02ttcwHQMbTnOl8jXFlsVm31EUWIXgN8W3Hogd8gcDLV+Jkhq9GzgVongla59fIACrwHQRCrkIWw8DmjwPDbX/8qXz49bb+wS6BfJW/H0uxiOp1yenq6IljLxafRaMTTTz/NnTt3uH37NoeHh0RRdG2/z08afc5Ugf6Zu37on9gbiOv4EIZhyMnJCVprzs/PieO4sZ37REyW2Mc217FUCr33q9XWR4n/7fN/wjcWY4YugPU5NT4Txul6zoumWWUSK+11hTrypTrhIddbSOQ284a0+9W7CDXxg91cj7aFE8Y+wM71hY32Fniqap9uV5ocuAblLFW6yOupwTaxORHyuFl+y/P17V0gMO3oNw/jzGJDYEt6lY1KAxDKsMb64BFBkg4lLAAmxe8y0xtFfiVtIVMhRQHeOjTIXK2uYzgdYJ3GB7IhdS2w68YpAlE1UU1XFgqkeAZUrPDakYvjZ59/rv26ejwWWGuJ45jz83Pu3bvH3bt3mUwm5HlOGIbcunVrpWIdHx8zHA5fk3bSD4ueRBTolanrh/7p3ENcxeT8ukzuqw5wu5gX7Csx2Zc211XLq7Y53wWzLOV9X/s8kgszm0PFntwnikFgWNRkA+dd48pQa86T9ygNQR6QJK6wOV+ZDngOgoBFkkDgNkhaYA2ZaZ+tu5qtdRMGEjLrkj6ANC9MKYLb7dv5RFa1h1q3UTA5j9AnO4Ri2iU5u8iDChcHZAebzpl+pvEN49oryM8M5umLdntfFgVuQBbAMNdYc9E+7yBrKNRrM4Vuc1iM1cpJT6Yaf6vjeitGFG5mLoxNatdRd9Rb+90pBItkEdTa5AKardAByQXfFAyoysOcG2bLOmkKJC3Vrsp2slj/29zlq+uC0kp9ubkRXOpJZo5AhBcXM/6XP/kU//H3vqP5wno8cjS9R5c1sapmF9WaWFEUrQhVtR5Wb3Zx89CTqeuHnkz1eCIwxjAajXDOPZQD3D6SqX1q87Ktj8rmfBf8zEf/iLvpDLHFbHa56O6TwsksCTbJhbSoM9W/+1TwqcI5wVkhCymrQFVmvB6wkHoPEkLiURY0Dh049MhhF8BhxwUkCoZbbLyt3Wqm4AUWyqDOfWuBW5fuaCrhDW4K6nALoZorfI1YPMgshw2GCy5VrQWAE11z9otVY44YAEpIzhTmmQqZmjWYagB5CLrBrAHAzS+cAq0C1UGE4MKIopCLGtz3DJiZwh+2FOkdeeTUEDfFixpQc4U/2PzNRR4aXA996OHU4OtFgxuuwdfHjoYDAmZLUmUowhQ1WDwjY1hYi0aRWcc/++qX+BtvfQvffnzceG09Hh0eRl1pqokFrBUdrtbEqhKsvibWaxe9Qnf90JOpG4on9SBWbbQv4wB3nfO92rBPLz2lFFEUobW+cpvzXfD503t88sHLiFXFWn+ZY+IzAStERpPUlQnnNyb6AN56UJDPDNqrCx1IUYaBNd+XCEMiFyv9zoBDk3mNTD1mDgNR2FHaPNG1Wxz4PGVtoI6ZvgNX2p3H3nA8E/zBJol0bjeSHihDbGGQu1biCeCyBoKkhGwcEN5ZD+3MO6LEvRHcWYAu1Sm70K3ECyAJBJOz+iL5zDR/nURwsUZFm+Qyq7wXfCBIBxECIAB3GrBoMyiBom5TGwTszLQT67bDqpJoVdvmgXMDuVrPDwT8Mn8rWP+bJKyFbiZ53hq4H/vibmXeoTJIleNnP/Q87/2RH+64wB6PAlexsNZVE2tZeNgYs6qJVSVZPfYfvTJ1/dCTqT3EVSgdy2M8ron+0r1IRF6VjfY+qTxL7EOblzbnWmuyLGM63Sz4+jjwtz/8HJM0LcKVvEcCV9TvyQRE0A2hYqFXG8V1g9ywiH0RbiWyGRjWwceNKNrM+LwIuREmFsx4iJYcdZCtqwzbTOcWamtoHqlchJ6JMM0Mo9giNbtut01+AXCUtYcEPw2RW+1Wg9a3OAOGiiBWq/N7W5hHdGGhFaNSgdkwqqjDCPbcoJ8u2IvXmnro3BKZgaGT8tpLzNRGsVyfb3/mJA9WhL0Jdgi6RmRW+04UVpaxeZtwEUjLvvXukLHGSVkHzLExPpUtQwer+7DO13LjCXNNWoYILp3/RFEUG86LrG0CNwAAIABJREFUf6tAyGLHy2rGP/zTz/Af/OW3t1x9j0eBR/Xd3VYT6+DgYKMm1vL/9xPz/UJvxHH90JOpG4rHRaaqtYjiOH7V1eL3gZjUcZ3bLCKMRiOMMcRxjHOO4XD4RNry/37lS3xjPqk0zhOKIUmWRYE8sUs3JppVIjXIQmYzR26EEE3WUHcK7xHTLhzEedZOiPJSKaBwnc4xMNEcGyEbzvHCWo5XI1LZ/ubNZE3JcQLxPGBkUqSsjeXtRVs6MVcrYpZoYTDWyHFDvzgK84YmiLCIQ4ajskRBrBvzjKpYqlPqVka+QyhiqjVDl+MTYdFltagFd6bgqYtrqIb4LWFD0KlASy0x8bDIfMHbO65bYoU/aQjXSxU+ABULbtRwDgFZKHzQ4DIZ+VVtqdEiZLbcXRUEzNdUvGUOVnXsu5DCJr0yVgMRVvqhsGZUUZArT05BqiazlH/yhS/yN972Vp5+Qs/8TcTjXMTcVhMriiIODw83amItQwZ7XE/0FvHXDz2Z2kPsQ60ppdQq1CCO4ysLL7jOxKQN17XNw+GQKIqI45jZrDAY0Hp7LZ9Hgdxa/sdPfYy5zVa5MqI9NrnIpB+qgLmqqSreQ+QgFVQaMMWvVJ9MtaifVvBtBhGeteLAdahUcPV5pxLGDpgMCF2ONEy8q9jtE7g5XpxRLM5DBk8niIIoD0lkh3dBjZgl1jBoytmqkK4m5KHgxhp1bLFpd9je6lxKMZg25z/V4QJw5wbvpNU2folMFEGl4FLe1G4pQ/3C5nEgY4U3Ch17bMc9t3oz/0qmClvWlZK8PazT68JMo9GIIitMT2bzegXhhuOpMqxvsL6ZysFV7uNM5YhllfcmpqyZJRT3Oy/3M4JNYTxL+FsfeI5f+eG/3nr9Pa4W1yHfZUmWqqVHqmYXy2+3936t6HCe50+s7X1o2wWuwxjqsY6eTN1QPKoJvogwHA4JgoD5fL6apF8Vrisx6cJ1y/MaDAYMBgMWiwVnZ2drvz2p/n33Jz5MYu3FpNt7hoTElXpOic02J9mZ4FONlfVleMk9tDiLh6JJW7yzm1SBNXR9v5SQLULk1GNGGTJo/vBvmAc0wOnm8L08VGT3Q8I7aUE0d6lDVQvd80awlXym1XYdhhJLJFnAwFvsDjWfoLAzT88DONlpc1KvkB3ywFxUkqFjh15oXN20oYQ1oBrC5gB8WqhZVtPt2hcKEgv+oGJmslCrr6dbWrE3fE19AENrWKiG8abBz8wG0fQGAidkdev+hmtwQa3tAocqZFJmCDqByClSXQ3981iBwzBgluV8/cGY3/zil/mbf+lfae6AHleK6zoRbjK7EJGVilUtMlzNwXpcYYLXtd8eN/p+uJ7oydQNxVVP8JckKgxD5vM5cRxf2bGr2EcyBdfDGn1pc54kSatD35Po33txzO987SvM/cXkfugCYludgHpcLVxKUsEngm0gTeJa7KeBQBStVbJct3nEbkRISBcBg9Tjj2omFdvI2nKbjpyqJNTo+wGZ2mEC4wtCUUcaKIYzBRW3uTrpakIeCO402JovtbaPNWXCzvZtrZHCYnEH1SsvbdKjPGTWovd5I8i0IF1ryCBf9nEg6CnYo477nikolTCZC3mVvCnQc4U9am5DGrtGMikTheSCHdV/ADcHDmptCGDgNYtq6KoGtSjI5RIzskKxLZ/jRDlY/qcGKdWpmAwlwjTP+T8/9Vn+2lvezDB4iBvb41LYpxCtqjJVxdLsIgxDDg4O0FqvzC6qKtZVoicRBXqF7nri+iyX99gZV/FCcc5d2aR5OBxycnKCtZazs7MNG9erxD6SqSfd5iAIODk5IQgCzs/Pmc/nnWPocbf1P//QH+IquR86VRsJ+srJRViaBx3rYoLbRm7a3mzeE7dTqe4Jv+vIrVli2R4RFl6R3w+LHKklFttfubKloC9ArDR2B4MF2upQiZAmwQVv9GCD3e77YmFqYWkdyAv1RE92Cx9VsUKy3db48gGwECZp98Qi0psEQU3Wc758Q5HhKuzArwoB+3jzWsKg/frskI0iwnoihZrWctpVjlQNWdwQslgbLk55Rr7ShxpUZS68XBBwgLMeBB4sEt71wQ+3XkOPq8NrgRQsjS4mkwkPHjzg7t27nJ6eslgsUEpxeHjIM888wzPPPMOtW7c4ODggDMNX9W3pSUSB3nzieqJXpm4ormKC3xUu9iixj2TqSWBpQ/8wtbwed1s/dfcVvnJ2ykKyImE+A5s7bM3EYaUyWRjmEXNs0damhfS2vwMDZ1i0Fdzdki8lqXSrSlkZRlWBDRR2GhIFORzZrZN2oMgZ2gJJFQ6DStLOUD9JNo0ZLtomuDODup3DQu2kugGI1Qxniviwg5SWULHCKUG8KhwztlyaTxU2ENRC8IMtY1EEd27ItngnzJQlqJlEuCo5p6j9JGkHWVZF/pU5EBYN+VkLZVEzcAdN+4KeKuytYkxLDi7ToIsQQck2jUS8AZWwkZ9nl/WBa0YUkdMkFcXK1UIEvbkQq7wBnZYibAQ+8STK8eG/eImPfuNl/q1vf11LJ/To0Q7nXKfZRbUmVtXsYteaWK8FEnoV2Cdl8yahV6b2EE/agCKKIm7duoWIcH5+vmbF2mMTj1uZWq4MHhwcMJvNmE6nD/XyfZxt/dkXPkicWXQgReJ8JhxGmzNabwqTCRaaefnhlWVifQ2St4fjuazj2cnofCPKFiVIJS2/ayGxBn9q2gvXVtu4Q/erTMilMGzoyuMamu6wrUQ0pMJoa+zhBUKtmWUOdqhusCSPqfLo8+0X76SwwI+y3cLNXKZ2agfxxbllLtig7k0uqHiLO6EWBouwVZVTHYqiq5BsNa4YcgioNk7aFHZZhvXVkc/XO2GhLKYyXr0pzCqWkPL8npJgAWI0v/D7L5DmfbHXR4mbRgqWRhfj8Zj79+9z9+5dzs/PSdMUYwzHx8fcuXOHp59+mpOTk7XcrCpuWr+1oVforid6ZeqG4jIT/DAMGQ6HZFnWmnPTYxOPi0zVbc6ve4HGf/KFz3E+TxhEulCaUkGUXBTMXcL6IgfKqfWJbMvcVXx7vlTu2z9CRzpk0hUCWDcEqJ+36/smQopBxw4Z2MZ5MlCoDsH22lEjEzAmJ48U0T2Dv9Ostk3yHMKOY2lBxwOmeQ6jHRQxL8TeghH0mcY93T3xNkZjy3thrSqt7VqOvRBcGZI4x6G6lKISzpf5Tifd9yaPilpNaJCZalQuraHTiMJpGN/P4LDF7GJAqxGFG4COBeVZuQAu4Rtsz6HMg2qqU9WwUGAHrNmkR1ZxqELOpunKl8V7zwhD7HOywBHkglXl+VNP7HOcV/zc7z3Hu37kB5s7ocerRk8KLmpi1c0ugiDAGLMiVHDhPNj3W4G+H64nejK1h7iqnKldDSiWTj55njMej/sH+SHxOMhUk835dYZ1jn/w6U8R5zmiHbJQiECgFGl1Cd0DqeDD9fwS7z2Y5nE4jAwxDUTS+8J5rQXxIoPDlh89nfvCdnMKScEGmuBU4Y+zxrevmstOuUuTPFuRpCRQROebtZB0LmRdRKrEVHv0fLfxqWaCK8Pcci1FLk6LiBTkes263UVCMFbYFut4mVdy4JSgJ5q8g6xJBs5IYajQabNYGFGoc4V7ymHbWLjpNqLQ5wrJFa7tXBrMTMhbiJ2kgnObeX7egE7K3Kq1HYo6WbZm4+/C0nSiaryiQU9BrIATrBLOfUaIrNK1RIR05jBK4ee+eC8NBK/LNYpiVz780sv89ue+wo9891ubr7PHq0I/GW7GtppYy3qVw+EQa+2ao+BNqonVK1PXEz2ZuqHYZYK/fIFZa3fOuXkc2LcP0aMkU08qb+3V4u987CPEWY7gGaqAWTnlqy7aC8C8yG2p33GxLaqF98xVsyInaXcejuuyGU+lNfcIALudbEleTFwzI6hzgzrKN67hQCLOmohgBcbWSJIIaW4Y5jm5qbjzTWUnVzxJwFkDLt8e+J1ycUwtqHG7OuUmm7lrXaYZgTLklTudG9koSluFmhX5WD6AwUKzGHSrZE4UegppB1ktwhIbxoEvctncoAwjbfly+qYaUSUkE1xbva2WoddUrLf4Yf3fJ1nAbGEhkIttBSJvyKvuF8vowjKcUqYeDKiRIksdqXIcBoa/98ef4K+8+fXcHnUnpPXE4OHR99nDYalMaa3J83xlcrGsiRVFEcYUD2SVXGVZ9prs596A4nqiz5m6oeia4C/jmAeDAZPJ5KFzbh41nrQ73mVw1e0Nw3CVt3Z2drZXeWsP5nN+5ytfIXMOpYTp4oI8zJchfh6CpGBRTYpPW3cOMBtOgKt9uhYv000TgJ33BSSRrW9TU1GCXaBwk6DYr4J5un2F1TcIj94I6YMa69zB7AIozB4CQZ9t/xz4WsfnRpCWyMgmsw0XKdR48+/ihHktBNMbwXTkWVWPb+Ptkws7ADfuvkYXeep1oQHMWAq7egV61t6vbggy3/y7ZOC8Qjf8Vpy32KaOpRFF0/bYQqEy54rZwkGweS/mWKrd6g1rREyUIF5g5rilQvAw8zlzZ/lbv/PB1uvscXn0ZOpyqPbbsibWdDrl7OyMe/fucf/+/VVJluFwyFNPPcWdO3e4ffs2h4eHDAaDJ1aU/irRG1BcT/TK1A1FEyHRWjMaFUVPZrPZTg47TwLLtt/ED1I15HJf89Z+/kPPEdsc5x2BaKRcLg9FkWgHDoa5IXFlfk3D3LWVMHV9Yzrm0ToVbJcrHu15WFCqFdtUoNp33AWCnxm0z1eKWRq0uGpU0UKS8khxPI5YnBSzb9vgOtcEKTszVwqVuvY8JVsqJVUoQcYa/0ztXeHBhc0d7jNN3StcT6Sxvbm05FlZsBWVJ4saQt/qcECqNuo3rUGKUL8NlTKVC5VtC+fUC0U+rIVcjhVoKRcBGsaRFA57jfW7fIPapcCcSUFuK/1W39KKJ/KKtMKghkYzL4the0NpvFIsahwbw1jlDAPDn52d848++Vn+3X/9X2u91pv6Hn616Pvs4bFtrG2ribX8dtZrYi1VrH2BUmqv2ntT0JOpPcVVqDPL/ZVSq3jkOI6vffzxPipTrxaXsTm/LB7lh/5P777Cp+7eBSB0mrSybJ56C64wIkiWrKhh4uqdR1oszBPfvgDgOmzPt8G35GetsGU4GiekDUV2vRHs3BAqh3UOv0O+VBuRBBg7x2gq5EOP3VYTq4QyCnDFZL+JGJXQU7kodFtBHgi6ZmWuZkLe0k4bCWYquMOL7X2qGkMSfSiYhjyrINakVfIlUuRzdYRx6plgQ4XkrjVMDyAPWQutU4uimPDybC4CFYOrF9ut/F4NT1Rz8KrY34Wl5XnDtepIkTvXaEQROiFdGqD4QilTTuE2CDqbJhim5KPlBcTeFosO5XlWr1KBeJEzUBAHOeLh1z/1BX7wbW/idcdtyYQ9HhY9Ab0cLpsrtDS7qEZvLM0ugiDg4OBgFSZYz8O6jgpQP36uJ/owvxuOw8NDjo6OSJKE8Xh87YkUFJP9Xc0z9h2v1ub8MniUZPWXPvxR5i5HMtA1cwSvPbKQyrk90kAuDnTQ6IYn3q/XifIQWY2KBTUuah6pcfG/4yRCTxQqliIEq4NoaSdbXeX0oHs8jmx7DKHXgo0NMt2hzx3dJEkpkplBJuuKRRskYY3k2bAgJY3bZi3HU4Karc/q1TZDi0Vt+46it74hz0pnm/2dB9Jpky6JQpR0hukB+EAwlVBENVWbKn7afgxvwFTu5TBZt3k2i+Z9U+XQcVPDwU3Lfzu4NQsRirpgo7rcKaVrYQUJDl19rasi53DVXl2UAFu2PbeFSnagDOM85Wd++7nWa+0ndg+Pm7YQeFW4yrG2NLuYzWarMMF79+6tvq+DwYDbt29z584dnnrqKY6Ojq5NmGBvQHE90StTe4pXM+FdWmhrrYnjeMM957rjJihT+2Zzvgt+8wtf5ktnp4gD5WBRVZGsJ8SQV+P0WkiOuJYPaiIoBWSC94IXSEUAXZgsVHLpx6kDdDH5TgHxqJlnFBpiSYsCr+UQ8zPaXf4ojC0y3f1xi6cZHLX/niuPiU1hm95BltRcsA3qUBV2oNCvAN/euRkAei6FErOECH6hYLRZYLeeL1VFFhROdu6gzGlo9X4vkA+EYCrYQ4+KIemwnbcDhZ651bFxsJAGD3NTkKD8dsOxbBH2KIAONLnPO9XElWBqy9pX9cNFtNqgAwyCgCkpg1iT1EL0bOhbjTWkpRuWxXrDU8XMXDw3ycJCzSNCQikr9FbaE+rC0r6EC8pzlWG0o7Cs31YJq10kOQOt+MZ0yv/6/Kf4D7//Hc2N6/FQ6Ano5fA4+m1pdjGfXyQ3Vs0uhsMhxpi1kMKlivW47mlPpq4nejJ1gyAiDIdDwjAkjmOMMXtHpGA/ydSuL1oRYTAYPFGb80eRk2at5Vc+/idk4iCDwcgwLV3rNMKgrH9TRdstTnWVhBX1ewZiECvEwcWEcG33juGiMnCDwvJ76hxg4MyjncdHrjsPCzj0AZMtDnxeb68d5bQgEwPHeasZhmSy01vbmQAz9uTHWzbM2XApdKFieAaL2+v9nHcpYiLIVMNBXqhn0Q7P50zBoUXNmkP81g4/V3BQtCecKZIWVzzX4qanp4Iv98nEYyZ09o0dFuF9UWZImhajNQQzIWuxQZ/pHDUHk2py1geQN4KZNd8bOyqMKOr33wcQ3hN8rV+XxhXV7a14wgTSSp/OvC0MLpbbaZDFxX6xt4QiZN7jg8LG3ysIRDNNMn7rC1/h3/5Lb+Y7n7m1dv6eGPR4XHhSxgtLs4t6TayqZfuyyHA1TDDLskfS3v6Zu564GbFSPRgOh5ycnGCt5ezsjDRN95KUQPFy27d279LXg8GAk5MTvPere/Qk8CjGxd997iOcuQWU36OpL8iHQvAzv0GkoNlqPHBCqh0qAXOmivAy0SzwLFx7jFenU1/T904LNlA4ZwjSgOCBag0hWyy2hMa6sqhqF0prdRcIcq5bz7XTJ9QXboE+aW/zqmktoYALL2seEXq2PWwwG4KaCnpyQVw6tx9JkXvktn+G7EBQZcrDsMOD3kWCnmz+/UDW92kNWVxtUIQ7KtveNum6RoHgTLGgeTLVuqeAaXD8C0+LHKmm7ZsqAeT1kSKF8UQV3hQC1vL3PKvksJWnmmYZAxTjWcrP/fZz/SSuxxPDdfrmL5WpOI45Pz/n3r173L17d5UqsXTbvXPnDk8//TTHx8crVevVolemrid6MrWn2PWjNhgMuHXr1mqCXl1deZjCvdcJ+0gCu9p8HW3Or7J/v3TvAb/15T9DS2HDPBqYle3YINGFNXN99T/3jSYBkdWYM4VkBm+KHBgoTCla59h5d0HdLjMCHKTGk2uFnGvMPYV2631jdfezqOdsJSJ6wUqKc6FCnzYU16LBTa/tfEZwocLcbd9OsmYjBCjzhk4v3g11C/fmAwrMFJLs+E6RwvAi36GwsBcpHPGAyZa8zvr5ld3cJy+Vpy44YN4xaclDj562/OiBXGjhUthB+/nd0gCjhJkASnAhjTb0PmBjrLhIUMn6H+diqQ5Vb6BaH9uFrMi3N+W/BZwqwnJfOp3x9/7wY2vH7FfJe/S4wNLoYjKZ8ODBA+7evcvp6SlJkqzyn5955hmeeeYZbt26xcHBAWEYPtT3tn/mrif2bybdYydEUbR1gr6PpAT2t931NgdBwMnJCUEQcH5+vhan/SRx1S/qn/0XH0RFwmJezNRyHHg4yEr784Z8mXruiGQwmhsWscObzdeWSmld7j9UHWzJdROUyKoLs4ulWnWmOJoXNXmw7YSk2vZtkJrJgg0V4cvr26h5ESK2DdW6RHZoCM6bt9OxtMdSAlmoUOWQ9DvarOcjhesozFuHdwq1Yz2sLFKYc8FucTzMh+t9oM8F0etjRkRhthhRmLnCbImy1Q01oACCMbhBx/4iBYFugAtZGVEMcnUxNmSd/CzhDY3HqiuuXiCoGXesLTLI+j7hoPgxxTEwGgH+xee/xhdevtdyUT169KhjGSZYN7uYzWYrs4tqTawus4ueSF1f9DlTe4q2ByoMQ0ajEWmabq1DtK+kZB/bXb0Pj9Pm/DK4yv793z/+af58fI4JC0c0o4SFWPRcWJQzt8ZwvoHGUlil61lhJrHAbeT3LNGWuA8wT/LWN51Ku2sTBU6R1s0ltDBNHcM0JM0z7K3mfR8GTc1PDwKCu5bsTnF+PRdsV42kJerKWSJIk9JXzaFpghJkoiG03flSFYilqOW0W0AiKhVUIqRPb9/eG0Hd17Ctv0U4mAdMopLFZg3KJ5sW6GtwRQiksaVtfAvssKwxVu3bpSpl6OyGuoX62iX4oi/d2K+FE7qgpc0Nj6sdALmHCgHPQ7/2fPsAglTIS8nKRUAGoguDmANdGFMkyuE82Nzz7vd/hPf8+z+MUqqf3PXocUks86qqi6jVmljLsMDPfe5zvPDCC7zhDW/gjW98IycnJ1dy/tPTU37t136NyWSCiPB93/d9/OAP/uCVHPsmoidTrxGEYchwOHyoYq77SEpgP9vtvV8VRRaRa10UGa4mzG+8WPB//MmfchAFTMswq9zZIrxpeXznNyaT3noWgUXNS8WmdGGTrF1F6grV67ISV75rqgyLLG8lHAscQxuSPsjJT1zjpHjb+QHw0OacnoUKc+rJb3u82+2e1PvIRxpz35I9u/5O2EVtyoeK4J4nO9zt3HpWKDJ6arE7lCZyInjTbLrQBG+lIChbmjMVi9giJy8PpXlzowjGlqyBnA1nmkwVtbL03GOHzSf0RgjGnvSpi78FY1bqqR2UZg4NY8AbwcSevMHl0Y4gOAXqKpwuVChbq3HloobziKBTj608G5l4wkTIKmrq2rdCipC+pWIV5xYRsHgOI0Oc5rxyNuO/f/9H+E9/+K809kmPHj0uh6aaWMfHx7zjHe/gpZde4vnnn+c3fuM3SJKEb/u2b1sRrDe+8Y0cHXXYxTZAKcWP/uiP8h3f8R0sFgt+6Zd+ie/6ru/ida973VVf1o1AT6b2FMsP4NJNJs/zh1Y5+pypx4Oq889sNrv2NudXtdL8X/3+h5ilOb6c/Xp8Man1Fau9BklpJIbFxIKWnQKRvfXtduIp+A7lKYoMOe05OB1eB6tzu4FCjQUJ7YZypBJwW3KCVAKuLXxPhByNnuU75UuphMbCv/lAo8cWe1z2t92B5C2xUHDAVgIDpbGDBpUo7GH3u0glRVFegGCyTkgat08hHxRkJduyOOsDITwtiJcP2weR983uf27uoWybngt2uLHJxTHqh8/kgoBLQZiyh1RUDxeaAMW0wUEkDDXzhr+rfPOeFvlXfi1nT4earLJ/HoFZXBD6Ze6UqILgyhwIICbH+yLs7wNf+Drv+PZn+Zvv/Fd7ZarHI8dNVkDDMORNb3oTb3rTmwjDkKOjI1555RVeeeUVXnzxRb74xS/yB3/wB0wmE37iJ36Ct7zlLTsd9+TkZKVyDQYDnn32Wc7Pz3sydUn0ZGpPobXm+Pj4VYWK7Wvx230hU1Ur+jzPSdP02hMpuJr+/dRL3+KP/+IljgYBY7cMtyomudVj19UISUF5KYhUHS3Kj87alR2Vdxja+WKC2AZZNCsKKzhIjQOK9rpcczBRzA6zFfFQC3BbQvP03HdvowU30/jh9smEXnSQpAUFKdJF6OS2elUriCI4c2S3t2+6VLtsJJhzyDtIj44FV36BrKEMRWxvk5mCDRTY3d51TqQxx2htm4FCz9ZJsJ5DHlxwxzwErG8ek4AdCXrqsYeFWYQP1t+pti00j8KlMMogCS7urUognVsyW6qdNQVxoSxq4XGDWnsGpdJa+bM3UiprF3+bK4terOf6eesJjSazxSJGiJCWJNOX4YpO4GgQMEsyvBd+5Q8+yb/xljfyna97urFfemziJpOCV4O+3woopVZRLq9//et5/etfv/rNe3/pPrp//z7f+MY3ePOb33xVTb1x2L+ZdA+gUJVms9mqYvdlsC+kpI59aPfS5tw5x9nZGXmeX/s2L3EV/fvf/OELRKKZ2IJIBQiKdSKFq+TxeFBxoWzEDfTHbzGKaEXHZYys3lQVKtBbeK9K1w0hRIS595j76sJ1bYfQPNlhG50rgnNdqAxd6DB/cJEmuF9c8C6mGMVOYANfWGhviUqVGqlV6Zbrqh5Pq0JJ2mF7N1CYNhe96uZGaHDc38BRjTGbiSBSGRhGEU62mFWURhQm3RxQPhAOs5aVAAHG6/c0GANK4QMpnBkb0DQ2nYCebY6PMNpcMz0s65AFZx5z5gvSOXGYhWBmhTJ3nGqiTIG6ML6YuAwFJDjmWc5/9mu/d+1yPq8zelJwOfR24AW6am2JyKUWx5Mk4Vd/9Vf5sR/7MQaDbTU8erShJ1N7Cufcq8652QdS0obr2u42m/N97uuHxXs/8inuTmO0KpzwFJDP/WZOzDLGyYGaCeIVkejGt5IqbZqb4Dr0dT1of8Vl8at7ftqc3FyoUFNd5A+Z7ROnfIs7HRSTWRcJ0be6t/MNzohVZAGFnbfdbUIXzDyiFD7UhA+6tzWT9TGeD1WrkyB+M7TRGtoT2GyhFi2h5tsnVsEEdBuJqWBMdkEufXPtrW1ny0dgxpC3KGtJx1jLh6zux+Bc1pSttoLR+QCk4R42PQtzZdGxBw/HmWE4EeazDMkp8hFV6epYPZ6CxSzHJQ49LxRjSQCBQViUNsjxfHMy42d//V+2XluPdfRk6nLo+63AVZNKay3vfe97eec738k73vGOKzvuTURPpm4wbtIE/1Fjm835PvX1q2nraRzzj//08/jMMXUZeIhyhSg2yJAZKCQriVR5vvRhFwjyjnypjE0nvgq6VCnYzRChdV8j+ERvrc/UVetp7XjlYeyBIbzfcqwc7DabdqWQmSKPdru/anwh7dhACgv6FgRNaleLOhVMN8PmfKiITluOPWXN3jwfKfS8e3IluZAP2Kg0pQULAAAgAElEQVS3tAGtCM+Kfw4m0mi9X4QDdjijauEkbR8w+QGoRfP+PhDCMUjmi5prFdghSNqwnxZMvPlnF0lBnGpQKYRnnsU8x3oPAsfR+oPjgvUcLhcW9duEwt1PJwURj7O8MCo0xbviI199ifd/6s9ar73HBXpScDn0/VbgKvvBe8+v//qv8+yzz/JDP/RDV3LMm4yeTN1g7KsBxXWCMYbj42OiKGIymTCbzVpfdjeBTP38+58jTyzGKJyGQ29Irdssmus8khe22FJRAoKoWUloIzZdOTGd9aXoJh6SbTef2Pa7TgWPIrjb/vHTczprPRUnWlccnJLG+kXh1K+Hp7VAFo7wfLfn3keVjjeK4Ly9rWkDCbFDRXC2ua06bybNrtkPYoPEiShMR+idZEXumIjsFBLoTGFWMeyIJdWLjnyuBcRxx2CUZvJT/T06lc1IShFMWz2qNrv/av9Zz0msiyFW69eJzdbVKBHIquqUFIpwCR0WfSQLGGDAgUTCNMv41T/6NC+fTjousMcSPSl4ePRkqsBVKlNf/epX+djHPsaXvvQl3v3ud/Pud7+bz372s1dy7JuI3oBij/Fq1Y59UkuuG5RSHBwc7Gxzvm8fgsuMiz/80tf44t0HLKzFSjEBnvvCAaxuXf6UjniQJOvnyT1JuNmP2haOYw+LLLOttuZq0V1fSqXgOhzcCkVpi+qUgwSCCw3hK470jt9Q5+rFepsQzD2uSlS0QmKHROu1o3wmsEM/6VwXhW239IFYTx6t24pnUVFQtm7NrWOPG7SE1GWbM3kfNN8YFynCU7fh7Oea6kQNCjWnyb0wmFTsyQPZam5hB4rovmWscqRlgSkbtJtkmHFBHM3Ekx+1GFUMpN3IwtOaX2cjGvdbqlB2tP73vFSzxIOJYa5tYZOerduke4FDMWuOgRIpvLsYp6403xAl5HhChEw8cZoz8oqFdQwjw1ma8jP/+I/4B//Rv9N/UzrQk4LLoc+ZKqCUIs93SATdAW9961v55V/+5Ss5Vo9embrx2NcP35P6IIkIBwcHHB0dsVgsGI/HO+Wu7RNxvUzfWuf4lRc+wWSeoVVhfb4KGRIuSISHYAaTJNvoD9X2rewILZMOQpPq9uvoClcDONDd60y6RS1Yg7sYFzZShHdlI/lGduhraQhn85EivF+79l3f5iKgVWF00AFTC62DIkxQzxrIRMPflqirU5J68q4851ofhWOHCxouzijCs+bzrpHUQAjPt/ezimklUlD0xfFic1xIhaTorP08LhCCJvHGe1QirTl43gimxYii8ZkRIZh5dMwaAbNLm/QK5squ/c3i18M1a+pUqhzLIWsVkHoWcY4WeGk8413/7PnmhvYA9vd7+6TRk9ACXQYUPZ4sejLVYy/xuMmJiDAajTg5OSHLMs7Pzx/K5nzfyNTDtvXv/N4L3J3EoCBzfi38LojK14wHMwOjFXkD0dkIBVz+veUtpTPfeBzYnou07fLmW1b/2owBVvAeF6033EaK8J5cuNg5Tzra3HXjXC2he3aoiO4u/8Pvpt55X1h9l/uHLTlKALol38sOFaZOxLatJ1TIaziWTtJSJ1+qg6i5gA2CIE31lnYKZ9bolrymJeKsoe7TGVCSznwkzTlOF61r3N8bwQ7Y2RhkiXwoSI3ABZPCx3xjjOtNwmYFDmqycaY91XmrDysTWS2oso2ZdxyEAeLBzj1ewR9/+UXe/ydfeahruEnoScHl0PdbgV6hu77oydQe4ya/XB4nOanbnKfpFlmjAftEpuDhVlD/7N4pz//5iyTeXQRzLXd3kIgDVxApdFHTpg7vfGMOk/cUk8x6+3I4tCHhGQxOhZM4IBwrzLkwmmqCU4r/PYDwAYSncJIExWq922LUYOlWTmgnfkvoBY3hYDZSBA8EsYX7HXr7K7irrdYIZuIJpux0LDMDKmFx3hV92QTXcTg191Rn3NsMLezowg1wF1t2XTGN8A3ueqs2hoqopk5Fp26DrLmBEHSoUzr2uEgwW0wt7FCtH8d5fPVZUUI4bT9GPgJVMYiQ3JeFgwsTi2PbrIjaoRR9XocUjotLjGaCdwJGOJLNUEpnWLtvUKhN1b95I2uk0is4MhfHWhpTAMxdOXg0MPNgFP/z732Cbz7o86ea0JOCy6EnEQX68XN90ZOpG459fTAfBzmJoqjR5vwy2Ccy9bBj4hd+84OcpsWSt1hYK9GjBXEUYUolAcka7Lt1TuPbSKfFfgX5KAnSWWEGYBcOZxR5IMycLSb/uig2KiJgFAQKHyi8UcSpRVlF8KA4VnhKYx0fM29uywqumeCttXvarmy5sFCUdENNoo3jzJtzgi42UKi5Qs93G1t1ZcKHivD+5v2QLUqXPTBEZZihmXp8uMOnpAy9sztYwWeHmuDcoxaerCN3DTa4ASpvbkunE2Fp6JGXxYO7UK2fFZ5tFul1gbTXAxNhZC+Y+PHMrIXixUn7uDEtqpkdFOcLzj1p7laK1CzZZK0+EA5qqdKZ8oxqqwMuWO/XaZ5dpL0pWYUXOoHDsCBa3nh8bNFa+C/+rz/sJ78N6CfDl0PfbwV6Unl90ZOpPcZVvFz2aZJfxaNs99Lm3BjTaHN+GexTPz9MW3/tw5/mW7MYLxA4IQovJmXeg4SqUIOWbxrbXHzXN53Og0rgaGZQM0AEH8hK8Vmo9tgy02aGAOi8qOXjtUJlivA+RPcLQwYAtUU5KcjWlv7R3dJVNtTITBprBa2da7I9H88NVNE/u6Cho/NBoW5VEUw286U2zkthqKDj3cZKPlIMvslG+GMb9Ly0DN/iUGiHiui0mGBI5slaVLLsQJrt1L2/6JZQEY6770lasTlvLJ4bSRFq14JYOyT36Lkn9uv31w4FM2ueLOWj5vHiQiF6UOQyVZ/bNpv0xXyTsNWHhQ9kXR00gqqEL/pIVurU2GZF2KsSLJ4kzhnHCb/4T19ovI6bjJ4UXA59vxXoydT1RU+mbjj2aZJfxaNo98PYnF8G+9LPu/bteTznH330c4xdxkBpjBcWlclhiJDHdqVIQWlK0XDoan6T5BCMCwOEyGjm3q7Zp0MxiW11Z8s8SaubxebpfaBwgUIlEN0rVLAuqC4L7BK7qC9uaSLRpmIAItuLzuI9dqAJH2wfq00hg6IUerIetqda6kNV4QaK6J40Wpm3QR5iXSI9pLVO1cZxS5UvOqNQJJu2EcE0hOCFpw5XUda21R8TpQgmRZhm3kLag44h4gMhPKMIF2x4ztoUNG+aSZpeeFQqG88IrNeNWsKOZKP21ly5DXWqHspaDe/zAkelIoXAIDKrNuIhTSyf+Mo3ed+HPtd8MTcUPSm4HPp+K9D3w/VFT6b2GL0ydTXtVkpxdHTEaDRiNpsxnU771Z8d8F/+Px9g4XJEwM4ti2qfOYjQG2+YJovrwm4aQqcIzguFyGvBe1i0OT10uKaZLSltbfV5RFRRb0iE6G5R5LQRQTfBUanHDbrHpkqK8D03UAzutROqXUiZmQOB4EU6DRR03B4yaI8Mw0o9rK58qXr7bIfleB0iqr1f69u6doe7OtLDItxQsu625AO1Ydiga4TNDhXBuPv5zyPBTNvPlbSpYCW8L9rShGy0aSqxhKv1tXagZkWbm4oC5y1Ff1VDKKPL1q/ZhbL2LHkja0rcxGUsa2LPfE5QLlPoQOGBJM553wuf5+NffLHxWm4i+snw5dArMv3Yue7oydQNx74W7r0KMnVZm/ObgG19+/7P/BlfevkBC7GMrMZ68EvVw8EgF2ZufXneu+ZCt5LD4cJgY4c3sjr3oQ4aVSyg883VtBq/Qu5xYfu1qbQgci5SeKWJ7kFQDftynnwLUeoszlqiaq1ul4Sq3pbMb83NWjuWUQRj2UwiWv68RRXKjUKlvsiX2uG8UDj+hTt6DYj15KFsVf6WCCeebKS2OuxBQdKCCVvvDUaI7lfqKuWevCHfa5t1voigko7JnRKCSfvvOoWgIQSv+FEIWkws7FAwy+N6z+AMKAlWoy27CLqBTNmR2liQWISOsFbrytXGUlWdQgm+QsqkbEeCw4jgtTAdJ/xP//wT3D3bNQ71tY9+Qvzw6IlE3wfXHfs3i+5xpdhnZeqyJPDV2pzfdCR5zt///Y/jDByIYZFbWEZ7ucLkQJCNt4s41slR6fCnrLCwdmMcpg021FDc+7r1dRW2pVAvwGGDw1kVerZOAIvwL83gbmEAoOeFVXQndrC3VmktV2agGHxrfT8z3TE0tLKbHSqGr2zfrvHnQBF9yxb5Ujs+W3rhsaFay69pQ5GHJdiBIry3/XlTKYjqzj9agxVUS+HbKlykV4QzOvUrMlJFdrAZCldFeN8irUy/bM5INY6FYOJwkeokbDZsVyuXqYLRA09aEUnzgTSaZ6yKBVfgBUz9+mTT1t0O1l0EvRFMRf2zwwvDjgWOkSkalChXjLdAcff+jJ/7hx8g6xeq9vJbex3QE4lenbvu6MnUHqMP83v4di9tzq21l7Y5v+n4xd96nvN5gnWeWek+ZoaqIFILQCDxmy/9ai6KnhcKjvfNahVApps/HDrtzpfqCrFLptvcJZpD+GykkFgIT32r8rNEPRSr8Xjh5nnsUDOohNqpHQvd10MBswZDCShd5rYgPTHo090nvQpAl/2yBXpeUYR8d1FkAFfmPuWR6iQ2q7ZkbA3Pg4K4RmV+WZstvCghbFOWvMdrhR3pVrMIKI0hGkIalw6SeVc4XyQE5833ITsQwrsZVtfupxKC8eY+XgsHWcOn/kBvELYk8pg6x/JgYsdhogjPHEEOt3JDGMORD1DZxTMxXxImVUx+HZ7BwPDivTH/9T/8QOP13CT0pKDHZdGTqeuNnkzdcNwUMlW3OU+SHZMxrhCvhY/oF751n+e++BdopXDWIRRiU+JdQaQU4MHXBaAyDDBAcZyaIhRPwUHQPKmWvD2/pytMbFu+lBl15zvZrjAxo1CutDVvCdHaJUROMo8dNp8nD2VlJOG2OQZSKEN1pUyUwszX1Qg9c7gttaCgDJfL1FbCCMU9SktnvmykMLMtJLPytbEjRfigfWJgJvYiHNPIyq2v/eCFQmYjtdUhsWhAkbeWDds/gXm0qegARGcOX153V14UsBGmGpy7CzdDJUQdoYDSaHFZlgmIpfH9Z4ebBAlg4d3GPc3Fc5TVngclSOzRtiCm4ZkHB2ohJJnDG0WuYH6e4h0s4rwYM+dlzlriOVTFM+3Cov/mzhKFhs9+7R7v/eefRCm1l9+cq0BPpnpcFv3Yud7oydQe4yoerH3NmXLO7fRBfhQ255fFvhLXJbz3/Pw//SMy67DesZwGDoamWG0vh5Gs/s8FVOoJ5+Cnjji/kAPa8psOdHs4XlfB3K58KbEw1+1MTC221HQCbFSYRqhEiO5tnszENLqqVRHM2seBiMJLUWA231JfCQqS1NjOoWL4ykX7og4FZe38uSc5Mgy+tV2dCs4dUqojotrzfAB07HAH6/dUbHs/1fONsqFuVXGAws7cFLb54f3tbc+PNINXXOe98qFqJHGqsg6TjzYNLdbOc6gucpwAPauFd3bUpMqOFGq+ef7o1OMGupHouVAIppv72IFgGv4e22yNZJnUM/RCMAeUWuUw1p8rV7FGBxgOTbmdEM8yDlNBWU8w1HgPc5uTec/vf+KrfOCTX0UphdYarTVKqRtDsPoJcY/Lolemrjf2bxbd40qxrxP8be1+1Dbnl8U+9vUS7/mDT/DN8RSx6ypDPM/X3iQbl2g9KgULa9t5D1PfHHY3byg4CkXye5O99xJd5hJ6YhutqFe/NyTqVyGJv1B3tOBCxeBltzaZlh1S79pCyy4aotATIdjSHgDdQUiygyIsC8Db3V71wcQjSnCh6TZYoCyoXEF+oFvD7JrynrrUKV9f4AmEQYc6pSokxQe7KWv19je3Y/2/zdyRV9UsLYRbQguDsoBzeGY3CKUdqPb9RQhqat/wgS3MUYIO8to2xpuUrJHGjC1YT/TAwhzmgNRJ32A9JNFrWTO8iL39/9l7sx9Jsiy973evbb577HtkRC6VtWRWdU/3cCiSECSQggC960F/hyBAAgRCBAWSL6IEaoEIURSghUMKgiiOOBLJGZLD4TQ5M62prr1y32Nf3T18M7O76ME8PHwx98iuyq6K7PYPaFRnuC3XrplfP59953wHt7OLkAJrEuVPnynyjoOVAmsMZ1HE3/qtj3m+c9ozrISw9RKsc5L1Nq+XaZiQqQm+KSbPztXGhEz9iuOXjUxdZZvzt2muBxft3ZMa/+CTh3hK4PRYOuek069CaYvye+p+QotsgE1Jn8tYmVr7ZM1oF7sc7uiGufF4oiVHpE11P1fjnxM3xVVO5xy86oVJguDyZ80O1rqkwI8MTj3dUKAXyhn9uRASESXHGJu+2INzIwnriW5d0Sik1Ya57ZQNgVFtv9LUKRla4vyw/Kh8Jz2Fz1hs5iJdNKmJuoQItgxR1kG2x2+n805f7ZJXHVbEjTfaQREgLnvIyHZrpQYxyv0fEkJ8/gzIyKL7Cg/T91E5idMcPqjKp//dNeBXLcZzukqd9uWQYjZomjKoTmlhu+tGW1gC1wEpaLdiMnGi9FltaRjFf/o3f5eT6njby3EE621ZRwcxCYi/GSZzNlGmrjomZOpXHG9TgN+LwXH32py3Wq0raXP+Nv0gDM7vX/mtn6C1QWGJO4ShIFzigWuSlu4bcLduQSV/SzNZU1H6/XHD0YRDNUZLP3nGmxpcZsCgg/H1VKNSCK0vQAmCQ0M0onfQxUks8Yh6qV4Y2elBdTza8EKGFpO/5JqzDtkdgx5TG9S3fc+8x2OUJhnafoWmA5VzCA4G7pEZ3dxW5yTBYf/2fgphgWSeg+Ph8fiV/qa7ycapp+vCO1WI11CVgIteV8Z2TTF6YQKJP8a0w7qCzIFGj6jXiwvpJAc6DX6ryWf+qelzHtRZOdIAY5TqJgdSEv0Tg3IcZNR/HOsJ3IF6MJV3+tRK6wicnv2MN2jD3hmrFKjI4DYtuaxHpDWRNfxHf+Of0G7/fC6q5wRrME3wbSJYb9PvwFWAlHIyZ0zI1FXHhEy95fi2i8y3sRj/vnH+Azpoc67Ua9qgfcd424jr+Vj/3k++4P7BCaptCDoBYVF6RG1FNKDEGDchT27NYmXn/mTT659G2ZuPe1M/zilPj7BSTz4cX4MkwtGmEN1zjyNjjkAqQeZAjVUpvJru1hmNhLXdhq4q55A5SD/euD5GvRBmfLDf3S7uJ0hCiJFGG15tdM2iMP11QH7NjK9FG+jkPC4N0jjDNUaDQT90Ug5HuOEB2I5ro8pcblgRFSVOyxCcGGxKTyroXPMYODEja6MQYnTPKZLp8Y/ipE5q8LjhCMe/nECkpGmqgkRGBqEtwaHCeuepdMPjNx79z7IY7hFmAolVpm+frjqF6ZI04yWKc6uhKEmPplY044j/5L/5nW8dII4iWFcxTfCqjedtwETNSzCZh6uNtzOKnuCN4W0L8HshhHirbM7fprk+X7S3jqr8Lz/5HFcLhAMto8kYSaMVowYXdm3BETjNC+tya6FhU6JjZUe6y5lR3hPaonOj529cypvbtKPTAwHvEle2JFVu7Ca4bYMu+WT3zMgA3VGXL7lefUCByDmpiszrWqcLbUHLS1MG/bNhQwadd8nsD59o3Ll1wSN3eBF1X9YsWBccgqPO9saisqMVQpN1yBwN1POk2MxDYiiSBq+qusTEejKpFRoDIQX+qRrbS0sVR9uku2cGVXDHqmBxfrSRhc5InBEZcXFxRG2bI/BTxmOlwK0o/FOD6U2NzMkhYmZ8OeRWqHIC0aNGJX2nemqpPInTMx7tySQVUAisSBwFG5HCbxoacczLwwp/8W/8TvrFfQuk1WFdBYI1CYh/fkzmLMFEmbrauLzZxwRXGm9TgP6mEAQB2WwiM1Qqle95NK+Pt+lenf94/cXf/D0c6RCqmFzBw7RjYp0s6IP1STJO3m/3vqTPOg7NFAc9qUivLopHk5ZMLGl5IyzJQ4saUxd0GfEYp4ZBon6o/HgidH4IVXAJjjTR9LAhxiVlW0DSq8sMzK1xJG7NoEoXYxjsLzUK1pfYQJI5UrSWRhMVGZE699ZJnPR61SU9QqE5h5KyS65fx+KdziOSpOyN/1mysmMwIZJeTL2koBdx0cE906hi/zW7dYsq9pzaEd3jjYLxHKwz/prdhkl9RrxGkmYpRylTJKTEr8SE88NvEjJHGmkEqZRPCrwzTRikpFxmL+5Bd/PIII0cvn9CJPd/4LkTg4cVAqn6m2arbIeod14AmHNLeSdxV3SaBhsIrO/gnMXYjIeSAloWZRSfvzzkP/j3/2v+nc058uUc6++vsHF3jZVbizgj+r59E5yvvYNrsLW2+78Jrh4mJCLBJN3xamNCpiZ4a+B5HrlcrpvOVy6Xv+8h/Vx428jUf/UP/jV79QaRNriu4KwdIVTypl6YfqXHaVlcTxINFKtEkepTWbrHHxEjuZElziTBshMmAb7UFixkpIM5t4oWArAIm6QPCQV4AuMkTYBVVvQFkZc10tVjXAAB3NhymRCke+qlEmMKgyr01CtZS5x7nWSAlB9MRyBDgYwsxk/+q3IyJTmrH7JtuuOKcw7+iSaaSZ/8UXNkAkn2IKa5mvxcuPXRBKZ7BVmH7H5MOCNfa5y64JI5UohodBPn7rY5h+AoJpx3cRv9xKgXQiQ24X1kylrMgJJlsg7BSUw4O9qO36sbhDGpZOcccX6YdLp1hQocROdzp67RhRHzn0JQ3bpGZZL9ZdtgUmryVG6YNJ0fz6/ERJ3rkpHFq1lM1iWoK8JS/z2M8xIR9acyqoxMxtAzZpVLaqW643UETkujO8THuhK3FqM7zoU6I5GxAVei8y4ysknPNm3Ac3FCRWttmn/86UsyX21dXLvvsnp7iWt3Vnnn12+wdH2eax+sUpjOp87fN0VavVUvuZoEsN8vJspUAiHEhFReYUzI1ARXfqFyXZdcLocxhrOzs+6CctXHPYi3iUz98b1X/KNPHyVGEAIEIlF3OgTKnK8c1iZpXFYQpTg06JTY0xqLGVRAOsdxI4FfE4QkFt3Ii+a1rWgwmLyYS+/MJCSMxCjCrVucSCOURuXcsemBSRPd8fNxmbO40+ppxtqB6QSiQhtUQeKdGXT28iVXjTCxsIEkOFa0lpJjqUvMJyDpaaU6sacQAqETd79BF0UZJpbfo2Ypyru49eQ63IpCTV9+bh04ZI5j4vIYi8VepIxrJDoxhbmk/iwsujitC0Lrn2pMkDL2cUzZWIwnk3qhcQqWK8icRLQWL9igX01S/ICO1bkZSaZ0zsE/VUQ9c+s2LKZTy+ee6VSDE+tJ/Fr/ft2hd4idUBa/ajAdkxXlddz6elVDKXDbhniAzNpBZVEIZGT6SK/KSURkoXM+VXCRkUls6mWSGmjd5P8nMrDovBQwGN/BDQ3q/ZXkxci97eQYkeLo1QnZQoY//L/+pGtYM7syzbU7q1y7s8a1D1bYuLPG4vX5N7q2TgjW1cGETCWYKHRXGxMy9ZbjTSwy50H+VVuwHMchl8sB0Gg0htz5ruq4x+FtIFPtWPGXfvOf4vlu0mDXQqT0xZtvbTEZATZpUosjyHsutYGIVCiLSSExTgQqSBqBOg2LVBYrEiVJBAkpE4Nh/SW254PKkpCiUxfj4J9pYiNwI4X2JVFJ9AWRbt2gymPSibQlviTFz21ZohTiaDKJA5pnDE6bS0mb2zTYlJStc6iCS3ZPpfkFpEJECnpsxk0mUYzOVaZzeKcKXRo9wefOd6ogka9ZamsDiXtoiV9XQBYSp6FRucs31UWP7IsWamb8hAonqXdqdciU17JEKUqWKnl4NUVcGv5JDI4V1vewgF9JJy3d42ScLkmRbUOc9fpulSq6Q+pP33h7lrjgWGGy/XVNQttUp0s7wmpS510ylRgZCVSPmmgCiVcNiaf777nKSehJ2Ts/r9PQ6J7nKC4ktVHdFwhS4IQx2vMu/q11QtpIlEennVy3CRJDD+vKpI+XBeVLZFPRuL3ELLCe98iVc0TNmKOtE1R8EUQe75xyvHPKJ//0S27/qRvsPz+iXW8n6YF31rj2wSrX7qyy/sEqmdxrEvnXwCiCdf7ft+l36G3C2/Yb/4vCZB6uNiZkaoIrR0rOHfpc16XRaIx057tq474Mb8s4//O/9/s02jGRa8Ak9Ua9fYqsBAeBaJkuwWpZPRTg5xyXs5RKj5LvYSNBM4oxiK4aERhBe4SJhBNZ1AiSIaLRZhZAUo/jCFQnMPWqFkcZ4oJAZwWOHp/CN5QqloYxt9b6ibmAiC53jHCbhrg0nqzEeQf/JOJ1lu80c4ao6OKfaqLpi8+kGlGT07efR3AQEb+GItY9f+COTE8bhHemh1WQMXDa4tLUS+ik30UG6wjiMfb3XtMQl4b/LkPTrRES8fg3wybTSRmc8whOFDrfL/NYVxBUFO2F9PmISw5uQ6EzzlA/AeNJvJOQaH6YIOiih1+JiKaGcySdmiGeGt7HusP30boC7zQinu4/ztBdEQIZm77aPtUxwzgninHOwWnEmKyXGFBIcbFmewKrLXgOsqnAd7C+g9BwensFvnpF+PHL7rH9rM/8+iyFqRxCJmtps9ri4U+fdrd5/PFzHn/8vPvvlXeWKM8XKc4U2LizyrW7CdGaXZkeuu5virQ6rAnBerOYKDIJJvNwtTEhU2853qQy9X1DCEE2m8XzPFqtFo1GY+z2V2Xcr4u3Ybz//LOnfPZ0D+klylPWSlqe5jycstbiBknt0nng6yNopbwZb1pFbxjm1g0ihoYXp9qMZ6RDe0R4PG7W3NASj6l5snJgbK5AuwIRWzKVGFJ6B/VisDdPGvQ4MkfSt0cg8U5j4unRdTfjTAq62yiL8TycpkGPqcFyWia1D5UQAhHaPpVjMEVx9DHFazcA9mqJshIcR7RWLymEAiwClfcIDvKjjJoAACAASURBVNONGIbgOpfOJyRkNnMYYj2BzoweR7vo4TQUumfOnKZG5f3u86dKPm4tRpVGn9Nqk6iyI4w0tC9Sa5wAEInbnifNEBEDklq1wfS8811T7NkzBzGqFAxdFyQNid0zhSoO/t0dGp/KOzh1hS5cbBsXJE4vUZYCR2mUm5hUCJPY3Mu2xnqJIuU2EidF4wqctsIGLibnIlsa60vc0GCs4PTWEv5JA/c0+Q2IWjHbD/dYf28FJLz6egeAmZUZppfKeIFLHCoqB1WstcwuT/H44+fsPNoD4Ke//Ul33IXpPO/8+nU27q6xuDmfmF28s4TrvRmzi1FGF29rC5LvG2/TC9NfFCZzcPUxIVMTXIkgP5PJkMlkaLVaNJsjfIAHcBXG/fPgqo+32mjx3/+/f4LvSKpWUcSjriJsT/+lrOMSR7rPlU6FGrz+QEHEFp1PCJlXN6BF0tMGO9KFrt6OYEQ63WVkZSSMRY1oliqE6BopBAcakxXExZSalEvqcmRbJ0rCGDgtg8k6CCXxKpp4Kn37UepbL7yaRuc93JpKiM0INcc70yNVLpP3yO5GNNe8pKboNdUmJ7RkDmLay5eTI7eeKD1R0UuMGAqjzyFiQ5x3E9JySd8nAKehMXkPtxbxOm1fVdbFPVMwxt5eSIF/rGj1zIV/otDFflXHbRhUioJ1Dj0VkH3RRM2l5yuanEtwEhKmKEwAOu8hR9iw65yDV4uIUxSouOT2kSb/NEZnkjmVsU1VHtNcLI0v8aoxcbmfMA69LxECGSkQFqeukEZgpcRraTj/PnguXlNjgoRkSm2R7RjrgM65OGFSV2XdpH9Y7AucpobAR//GLdZrTWYdidIax5F89ZOHfUM42a1wsps4uhZnC6y8s8jWvV1ajYjbf/omAI1Kk8OXR4TNCNd3WHtvmYc/fconv/tl9zi9Zhcbd9bY/HCd9fdXyJdfI+f0NZDP5/F9n7OzMxzn4rs/qcO6HBMiMZmDtwETMvWW400pU9/XW7Nzm/MwDH9um/OrTk4GcdXH+5/9b79HuxkTegbfCBo6xvasEJ5OFox2zz7WphMdqS1OUyB1xya783jlfZdaWlinbeLAlwLZ6q/XGNp1jCrl1vXQm/deeHVNXHIxnd5Gmd2YuOxcKD7mckt0t3F5XZDf0EQlCa5AqMTSOx6o00qMEi5/Oy4ji86DybvkdiOaI1SfwQarg4iKHl5F47QNqvSab+WFQAfO66XudUiekAKvoseSKf84RhcScqGLPsF+RLg4mrD5pzG65KBKPl4lJp66RJ3yRJIqOn7EREX/oqbJWkyKWhGVfGSrv56pD8bixPKSc42eu6CmkcrSHnX8Uf3ChMBraHTexW1qwOmuN6rgItoaO0D6VdHFqcfoQv/86WDYoEIVe8iasfhVhdAkxC/jdzNdnXqMpqdOz+2k9zkC67g4TYXxHETLJmmTyia9tOoxNuthAgehwLgOL4t5dLXOwR8/BiCTD1jcnCdfzmGtpV5tUD+ps3h9gaefvuDBHz0BoFHtfyEnXcmH//YHtJshCMHijXlOdipU9qvJtUWKF19uYZTh2Wcv2bq/C8Dc2kxSh3W3Q7LurjO3PpM+/ynwfZ9CoUCr1eL09DTllk3qsC7DhEhMUvzeBkzI1AQYY77zIH/Q5vybLJZXnZwM4iqP93/+nU94tlNBuAJzHqzZC5tnGVqkFdSl6nMzk7FF5Qed4WzSs8YBMxAzNlW6Vfq4gN6JGVnPI8NhF72+z/X4+R4kHLrgJel/+4pwzsEZ477WPUakuWwptb2/g25iFe3WdN81u9UYNXN5wbzpSUuMSz7BXki4lFJHc4nKJaTAqdtL64C62ytLnHMRjiA4CmmtjTGsiAxR1u2mx0Xl8aRHREOyx3jnvJ6/uw1DPDV+7P5RhHWdkSlyFxtKgoMW7bUs/mGIzQxLWcIReCfxSLLjH8XE0wGypbskfRCq7CW25QPz4Z4p4qyXNNAdkQqopgOcsxhdHJ7LeMpHNjVu3SS1SueQAq+hiFIUVCcaVq1MxkmtnZLa4hxHCCGxnot1wTmLMT3kSRc8nEaMziXnN77Ercfd8ehsYsqCJ8F3cOoRQntJU6uWwmZdpDJJCqCJeVXIIWcKeCd12o2QFx379MJUns27axy/OuXwxTEbH6zhZzyiMOZ0r8rR9gkAt360SfXwjC9+//7QtefKeebWZ5iaLyIdwf6zIw5eHnU/P9o64WjrhI//yefkylmu3Vlj59EBK+8ssnl3ratkrd7uTxOUUlIsJk4nlUrl5wqEJ3VY/ZgQiQmhfBswIVMTfKdB/iib82+Cq0xO0nBVx/vg5SG//dOHtGKNdS2ukGhrCTIuTTSynfR5kh2b9F4Iazn/o9A2sXIWoq/n0jmkATUi/h43K3YMJ3DqMSYYHdSbS1a4tN5KQgp0zsU7NUmgWRh/jNdRkwYJn/UkbqShp4ePfI2OvkJZVN7pmy/je0P9i5yGRo9Ib+wbe8Eju6dfK1XOO40wHXe0+BJFyD+N0fmL+yKEwGvadNJjbLcnUd+4DkNaC8P3Vrb665jiko9bjVDl0UqWVAJd9giO2oQLY3L9ICEBOrHqH/W8qoKPUB2776FzWXRG4B/HtMc8G05Tw8D8eTWNLrqYrIt/GhLNpQ/AbRl0iiuhdQTZ3Yg4xeVQFbzUMcclL5X4mUD2EVq3FicvSozoe7Z0wcVtK3SPW6AdyHTQGQd0ok4h+tcRnfM65MpBaIusxaicg2wlaYqOBfHjmyzVm0xhaTdC8uUsj3/2gi9/8gCA5lmL450L5UcIuPNn3yVshXi+y+zKNJl8wNHWCa2zC209V8oSZH2++JcPsJ16RcdzWLoxR2mugHQkzXqbwlSO55+/4v4fJspX7eiM+3/4+OJ++A6//u/9gEw+4MZHG7z367dYvKlwXrMW8TL8KhOsCZGYEMq3ARMy9ZbjbUnzu8zm/JvgqpKTcbhq442V5q//H/+aWjNCCJAkRMoaS0tqnLbtxFOCsNMf5hzWWlTHjMBtGLBJXVRGpxtSJK5oo2qiRvRWsqPT/wCEM4Yw6KSx7ch99fgUPhtI5Jkiu6tozzl9zVjPISMzRG4G4bR0KuEyvoPT1Fgn6YOURkAH4VVidGGANHgSrxYnvZQ6SoZf10Tj7N7Px1ZXxDl/yFwgddvQYjolJEKIxHlwhCIkQgMDvVWjkk9wFBIOEISgotDBMCkzJl2dCk4idPGCLAgpkgbJI1ItZaQv0theg7CarEtur4Uqjibp1nfw95uEq/01Nd5p1E1XjIveWBv0aCbAaSp0rlPjVIn667PGKGjRlJ+atucfthOTDW3AGSbw/mmbcHaATEqBexYRZfsJmM65+KcRUckjcxyhMx42I6AW0hc6CIEdSD00WQe3EaM66pR1Je5ZjDlXqwIHpxZi8n5iIy86rcMcgYwFThsQEqsM2newSrCVzUKrxfHDXVSkKc7kWb65QCYfYLShftrgaPuEjTvrVA+qfPWvHqTO3ezKNKu3lxCOoFlpcbJX7RIpAB1r9p4dcrh1zK0fXaeyV+Pll9tMLZZZurGAn/WJw5jKXpXjnQpr7y4hXYc/+q2fAfAvfvMPO9MimN+YZfPuGrd+vMnqO0lN1vTim2k2P8ro4pxc/bIQkAmZmpCptwETMjXBL5SUSCnJZrOX2px/E3yftV7fBFfxB+Gv/a+/z8ujGmBxPEncGWPOd2m1FJbOj/V5b6keOJHFZCVeHVRP4GZHxPCj4lgZjnalc+saVR6xTNnxZMltmq7qk37sSyzPjUUV3CQIrWisZ4mm+sfinumhQv2h85xp1AjDCZtx8KuKOH49EwiZkpIFnb5L2y1a1zoB8Wum7nlnClXOEFRjmpeQKTOgaKhiQGanTXtlWOkZWU8UDf9JnMUwOzyHuuiT2W3RXukP8kXKgxSVA7x6TFwYPk72JCbOJ2PU5YB8TdFI6SfVt491OXPGry2yGAyRvUxoaXf4lfUd8rWQ+gh1CSnInirqHTLlNi2qRwVVRR/vdLgXFACOIFOJafWQKdlSWOmB7+Cftonmhu+Lyg479UGSOihCjR2wjrfa4B/HmOyFEqhLQZLG16Mm6o4Tosn19LJy+uuuVN7FiTS2kw5nsh62o1apjINzFmGzPirjIhsxBJ10PwzClaisxysLYqqEd3DK2UmDs5PE7S/I+2x+uE7Uiqke1ijPl5hdnSZsxpzuVTjdS2qjFjfnKM+X+PIPHmD0xXckW8iwcG2WXDnJmnBcydHWCQ/++El3m8p+tVtjBbB4fY5bP94kasUUp/J88Gdvc7pfYf/FEUYZrLVU9qvUlqf4+//FP6LdCAEozxfZuLvGxt01Njv/Xdyce2O/wb9sDYcnRGJCKN8GTMjUBBhj3jgp+Xltzr8JJsrUt8Nv/+Q+nzzdw2IpBh5VkxBda0FpfUGkIDUPTyhwQlA98ZcE2tIM7WCtRY8ymBhXEzVGwHSbiSo0CrKlYAyZcmKNYgzZauiuamACB2st+d2IxqLXDRDla7wbSHNM64XOuWQOWrRXnG7PrVEYrEHrRTyVITgICRcC9CgyMwiVDC4uBWR2honLOZyWRheH0+is6w6ljnm1uL9epwe6FJDfb9NYvAj0vWJmpFlDYa5ESNw1N8i5LnYqmwTpPRBS8MHGMp8dHQ0d49o7yzzpSQFbuzbPg8qwGUAvZtdmWc64PNw/GblN5Du8vzjLvYNjAKazGdpF0edGWFibptluMuoRkCtFMo5hpZBnq1Yb+nxuusDuiCTMuOz32dtna4Yol9wjE6TXh5mMS3DSIpzrv8/WkfiVFuH8xd/9kxAhPZx2jBp8LFIs/CW27zpNxsGtRajz50aKhOR3yJT1EtOJc+Ktcy4yNuBKTCb5/9aVyGaE1YBSmKyHeH+d/Posax5IKfACj5dfbXXNJwAOXx73je3mjzfxPCdR0Yxl+dYCB8+PiMPkyWvV22w/2ef2j29w9OqE451TpBQsbs5Tni/iuJJWo83x9imZfIaphSKPf/aC/WfDz5vrOyzfXmJ+fQYVKapHdWxPI7rq4Rmf/949Pv+9e6y8s4jruxy+PObaB6tsfpiQq+sfrrPyziKO++bs2idGF28vJoTy6mNCpn4J8G1JxZsmJd/E5vyb4G0kU1cFr/Yr/N1/9jlNrclLl6a+aLpbkA51o7pza63F9LzkFtoShImrmxroVpsTDrUUBuS1Ete8VAz2gepBWj+q7m6hHUol69s3pWFt3+eX9Jdy2gbdk8UlhCDK+2T3YuJpico6I23eezHObbB7bCsJ9iLaK/7I9C4RG1TRH5lSKITACgfvMByy806Ftd2UNAAT+DgjbN6DakyUouKZrMtiW7BXuLiH69NlXlZHf++nVmZpmybaWuZyWSr11shtK3HM3bU5vjhIgtZbs9PcPzlM3fbBq2Pm57IcNi6OV84EPNvrJ05P9k7ZWCnx4mSYvACslYu82qpxfekSVwsgal3QwM1SiS/3D/o+P6g1eXd9lnv7x4O7AtAIYz68tkC91k79/FAp5qdzHJ4Nz6d2JR+uz/P5ziEfLs9z/+xiXnTO4/pciWcp1yhLQSrRissBIk6syjP7LUwm6DbbHTp30U/S+HrUqbhjVd9LupNaqYuUQ130+tL9dM5FNhPTCRyJaMcJMXdE0ozbWkzOx2kpjO8hmhE241KReXS9RfjTJ93fgZmVaaYWy/gZDxXFVI/OmFoo0Tht8vSTF0PXIKRgYWOW2dVpvMAlasdsP9qlengGgDGW/eeH7D9P5nX5xiJr76yw++wAoyx3/ty7xGHM8e4JR69Ou8e88YMNjrZO+PSffX1xLiGYW5tharGE67vE7Rg/63H/D590icyDP37Sp4Rlixl+9O/exc/6bN69sGv3M6/Rg+018Ktch/W2YUKmrj4mZGqCN0ZKvo3N+TfBhEx9Myil+ct/+59z2g7JIWnHirijGhWsQyNSiB4C4CKIOrwjGwviKDGpCFPet7daUaoaNFKdMWNS9dQlNU3j+j8pOzaFT2hLfIlLX1oQCUkhv2xogmpIODOa3EDSg8qkpJ4NwvgSnffI74Q0RrjkeacRujTePMFmXILdkFbBH+2E10FQ769Vsr7DkvTYTlFCbt1Z4+uXw2/hAeqOYDaX4biZkBg/F8AYMrVfbXD3xjyfHRyyWihQORhNpgBOTltIITDWYsPRAYU2lo3ydB+Zuj5V5uvDg6FtC2L0PZnPZDjgjGd7lYR0HaeTLoDnh1VurEzxqlrj5U41dZt2e7x8aZVhay/9HMZa1qZKqWQKkrmczWd48WJYabMj7n/blby3Osv93X6CZ13JjekiqhGxl7Xd59oUfHItRXNQ7dQp98LpX5et7+BWQlS5h7TLnm2kQMjk3gohkv5p9RiT8dBZF6ceYTMe2pdIZSHr47YUxhWcFXLkfuM22We71A5qnOxWOdmtsrAxy8zyFM1aSGV/m/n1WW7/xk2EFLTrLY5endKoNplbnWZmZZpnn78ibF7knxZn88yuzpAtBKhYoyKF4zg8+eQFu0/3AfrS/QBy5Szv/cYtonZEFMYEWQ/Hk+hOuq21lqOtE1SkWLw+x/MvXqGVobxQYnZlKqnDasccd+za3/n16xzvnPKv/s8/6Z9eV7LyzhKbH67x7m/cYOlm4iqYyb/Gy5PXwK9KHdbbBiHEhExdcQg75tuxs7PzXY5lgm8Iz/O+Nakol8tUq+nBwOuc/9zmvNVqfWcLrpSSQqFALSU95qpiamrqOyGa4/CX//Y/59One1gB7XaMm3dpW0MmBqWGDR+ENeiMTJzGPJmYDyhLOLCdNTYJplJIjlQm1WDBrcXE0+mBrXc2xkTBWIRhZFqcd5re2LT383HubxiLDO1I8wAA9zhEOJZWSs3QOYKDEDU1PtCRbQ2yx4mv0qR9bbhZaOZVi3g+PQ2vF4WjCOEJqnPjSdwPlhb46ukw0bhxfYYHR/3pbbMEVDs1H2l4/9ocn58eEbgO8swSpwXaPSjnAxqe5nquyKOd8Sl3AO9fn+PB8SlBHcJ4dO6n6whyMxfE7v3SLE+201WhhcUCO9V6//5SUo5dzjrB9bvrs3x9kL7/OW6vzuC6kvuP0skmwMbyFM+O07/3m9kixYzP17vp5wk8FzeQnIUpBWfAr68u8umj/dTPri9P8fRg+LzX5tNJ4o/WFnj05GhojtcXy7w8GP59KEtJdSDI86tt4l7Sr02ieAUXZMyr9KunbjXsGquI2IAB0am5csKkzkpGGisEwoJoxQib1GU51SbL9Rorm3OoSKEiTaPa4vDVMWGjf84cT3L9w3WMNlggyPqJinVQ43DrNMlx5lxhukbUjnl1bwcvcFm4ltRbWWupHZ9x8PwIYww3f22To60Tjrf7n2PXd1ncnKM4nUe6STrio4+f06yOfnlw/QfrqEjjuA6ZQoCKFCd7VU56jl2YzrP27hKPPn6OjjWik464+eEa1z9aZ/PDdTY/XHtjDYdH4buqw5qbm+MoJX33VwnT09O0Wi3a7XQFe4LvBisrKyM/myhTvwR4EwrNN9n/TdqcfxO8jcrU9/1m7//+g3t8/ngPKxMiFfguDWtwW5ZYQibronoqmISyODkHUdMYv+NaZyFK4SFu2xCn9IqSbT2yV5M04DYT10CnrRFtjbQiUbIiQ+BZLAaTSeyiddZBZSVuWxOPacZ7WS2TvMQL3GtoVO4SdztliacyZLfatJaD1J5AUl9+v91ahJq6IEmqnCXYbREu9xMnmXm95dpfKtFoh6yXC7yqno3cLgrTJ+nsuE3gOIQdx821UpG93dHHAbj38ogb18r4jsPjyug6o3NUGyE/uLHAVy/SU/YGcXTc4PbMFA9PxxMbpS3rhQLHzRazuexIIgWwmB8mU7fnpnn85GKfh1vHLM3n2auOrvl8uH3Cu/PTY8eVEenP/3uLszx5fMz6fGnkvmGsuL26wGfbw8T3zvIcp8ejVUBHpL8MeHlY49byNI/3L4L0H6zM8+W9fe7eWODLZ/3nerVf5dbqNI8HiO/0QonqXj9Zm9qY4ajSpLvUOZJsaOgdpcq7iFh366d0zoXOv60n8etxYmojBZbEXdT4DrIeQsaHwMEq8IzBlLLsey57f/QMt3VB+IUQzK5OM7VQJF/OIhzJ8VaFJ5+8TF2H/azP+nvL5MpZrLGc7lY46NRexaFi+9Ee24/2AMiXstz68SbVo+R3b+HaLIXpPEevjml0yJKKFM1qi6n5Eo8+fkbUjrt1WFMLRYQjadaaHLw4ZuHaHBbLs89epd6vbDHD8s0FitN5wlbM8c4pWiXfT2sse08P2Ht6wB/91s9Yf38ZowxxGHeJ1fWPrrH54TrF2Uv6PPwc+GUzurjKmBhQXH1MyNQEPzd+ETbn3wRv6+LyfS2Mz3ZO+Lv/+DO0NoSxASFoY3BaFitBWGgY1VdLUXBc6k0FPQqNDDU6LYVuBK91zsmUsfhnGu80xq/EeO3EXlsAxDGelKgepzYB+GhCDRBhAVdCXG+hA0k8nyOaC4imPcJpp09FuqxhbZrNeS9kPYZLyNT5+XQ5Q3Y/JJx1k8L/HmjvNezOregzYBBCIPJZFt2AfZUEhxnXRZVFauF/L5ZLeQ4Ok8BfNG0fKeqFKyWvDtOV6MNak7s3F/jkIAmo57JZ9hhPps7PlxnnjjiAuGnIeR41na649I+pxfXpy2uYAB68PGJmOsN6scDX+6NVgC+f7bE4l2f/7IIouWbAzc7CfDY3lkxdn5sio8c/Kw93jlmay7NX6z9Ou5Zc+6vDGjdXp3lykK7Svdiv4juSqEfxKwQe+1s1ao0w2Xd/WIF6vHPC2nyRrZPh+9e7BP1gdYF79xN169V+Fc+VxKr/5Vikhl+WPd+rcGt1hsfbFwT6oNLkzuY8Xz+7IMrtvMfqbIHtTj2S9RxmPMmpNkhtwILbilEk6YZRIam/Mjkfk/Xw6ok1uykEeM0Y7bsIpVCORIYKLQXiziblOGI566CUwiiDH3jsPT/kaQ9JCfI+8+uz5MtZrLWcnTbI5HyEEDz/chvdo8pJR7J8c4nSbAHhJKQqyHo8/tlz7vX0merFzMoUK7cXkVLSqLR4+WCHqJ28vRmsw9q8u87qrSVqx3Wml8q8/2du0Tprc9hDyhxPsvHBKjtP9nn66cue6whYuJZch9GGdqONl/F48vHzi3vx4oif/vYn3X/Pb8zyw79wl/Jckc2P1rn+0TrlMUT+58WbNrqYkIgEk5qpq48JmfolwHeZVpfL5XAc543bnH9TvI3K1Hf9A2GtJYxi/sr/+HvUmhGOJ7ACPEfiSEnrXMZRBs7NB6wlGwmaUsFAKl1aLVFvz6leOC1NcGYo7DYJqhrPWGysMUJCx7zCxaANqN5C6FhhVUzoX0hgwlpkpJB+gGPBP4jJH0R40iAch0ZeUl8KaC9kiKZHL21CmbGqVjLw8c+ViA1xwbuwiy4GBJWYOGdQxSS9zmlrdGlMKmEHU9fnaFX6FRIN6BBmi1mOmy02poo8rl+eDjdfyHXJ1O5pnTs35vn0YFj9uT47zbMXo1Wbr58dsL5S5FX1jFbzdVr6wsujGh9lFl5rWwDXCG5MTfHp3rDiMghHCvb363iOvDSFUGnLRrFErTo+JcZaWMrlumRqKhvw8MXwWB5sHTE3leOonq4A5XF4uHXMdCnDaTP9nBZYyOX6yNS5KnWOwBn9TNZaIXc25vli5+Je3pia4n6nHmxcp7NSJoAUMvx075TNxTKlIODevYs0wWoj5M6NBb5KUafeWZvh0Xa/8hjGw78DW4c1As/ppgsaa8kELteXpigGHlFbc1Ztcd312NqpAALrB8x7HifNCNea5MXBaQvrCIznJOYUGY844yDbCptxcRpJTZUbKoyFiszQbkbohzuoUOF6DnPrM7xzbQ4pJa2zFkdbJ+w/P2T9vWVcz6WyXyNsRsytTXPjh9dwHEm7EXL46oRGpcnJXoXibJ5Gpc3W/V0AZpbLTL9fxgs8wmbI0dYJZ8d1Nu6u4jgOX//Bo741fmqxxOzKNH7WI2zGSVsHpXn+5QXJO3zV/32cvzbL+nsrxJHi7PisW3/VnfdGyKt7O5TmCizfXGT74T6O57D2/iqFqRxGG6qHNQ5eHGM76YjVoxq/+z/9ft9xppenuumBt360yfoHb64XFnw7o4tJrVACKeWEVF5xTMjUBMB4QjZocx5Fl79JniAd3/WCaEzS7+Sv/u1/we5JnWzGpdFRKjwEjUiB6PTsyiVESmiL307cvsyAE53V6RbnbusixU+GhuyRonQY0pvbY8MIZSzCu6jlcbXCWAE9zXcdo9HWQA+RsrFCRAoV9Bg+WEvWE7TaABqvpZk+inGpEhUcmtcL1NZzxAP26V5Nja2nSvpLja838moRaqq/VkrnPHxjKcSCime5Nl3i5RhFA6CcDdgdIFLnqDZCVrNFGq5L1nk9By81EHB99fSQ967PcP+wPwAuupf0lDLgR4KM6/Dy6PVqKZdKebZ3qmQ9l1ZKgN0LKQTbBzWaYcTCXI6DEQYL57gxO8WLZ6d8cDNxr7sMJydN2iPSGHvxYOuImXKGk2abzXKZrw+GyZTWlrVyMZVMzeSzPH55gtaWa1OlkWQK4P72MdPFC8J1rkp1P395yOpCke3TdBXw4LSBJGluuzlX5v7ji7E+3j5hbbHE1vHwvg+2jlmcyrNfG34W5/M5PvtyuDZ6+6CWSlzb0fCcvjqo8e76LA96yEC1EfLh9QW+fHrA9aUpco7Lq5enrC2UuP/4grhdW5lKJOjOsujkfbwwRmnA93j33TkePjpEWHCFRTYijAAtkyBb533cRoQKXGQjQktJQ0i8d6+x4UHGhfppg+1He8yuTJMvZVnYmEv6UwmJdB2Wby5wslPh4MUxB50XDK7vsPHBGq7voGKNdB0836Uwk6d+0uiaXQBkSxmuvb9Cfa6J43n4GY/NLO08ygAAIABJREFUH6xzvHVC7Sj5blcPzzg7qXPjhxuEzZCdx/uU5grc+LUNgqxH1Io42jqleniGdCW3frTJyU6Fn/3OF31zPbs6zczyFK7v0jxrkZ/K8fhPnnVdALUyXcJ3jo07q/g5H+lIZpancVynS7AATncrNE4bNGstfvu/+6dErYipxVKSGtghWTd+cI3p13C3fF28rtHFhEQkmJDKq48JmfolwJtYbEYpJtlsliAIfuE2578q+K7qvKy13cX37/zDn/HJ433ynstZh0iJtqGRvWg46llBKEFGJun75IhOU8v+NDUntpgUIwm0ITi25A5i/KomZw3t3uaqYYQw9BEpW2+ifB/Ro3TZehOd9fvIlY9GSYkNLghQ4AridkxL9zQLVgqiGOV7yIqi8EmF3McntOZc6h9M017LghA4sRnRuSeBd6YuJVNTxSxHDH/vlBS4RnJ7tkTWdeESMrVaLnK/OtrYYfvojNvrs9Tqo7c5hxSCrcNhU4GjgwblbEC1fXGM6tnlhcwvD2r8qdsr/LT6ekZEi4U8X+0fcOfmAp/ujlebrs2U2H6VBKMLmcvJVF4mP1XbuzUC1yFU41OLF/I5yNqx5AY6NValIifNNicno8fw4NUhpZxPrd1PgDanynyxl6RjPd05pRB41MP0p0tpw7VyQrjeXZzh6ePh2rKpTMD2iJTKw1qT967NcX/vGOqawcevFKS/IDDWMl/KDZGpjbkS977eY32uxKuB56ZSb6eqU1sHNW6vz/Jwq19FqTZChLhIHZRSgIHbM1M867nOSq2N4wh0p5bw5U6F927O8+BxQpAPjxvceWeBrx8khOvBsyNubM7y7PkxSghuv7fMo4cHSCGY8SWtyNDMeritGJP3cZoxZDxMrHllYE4ZbKSJQk3YjskUMgSFDMZYdp4c0O75Xq2+u8Ly5jxxGNNqtjl8edxt9tuL6aUys6tTZAsZHEfy/KttHvzx09S5Ly+UWboxT5D1iEPF1oNdzo4TglU7qnfJFoAXuNz9t96l3YhwXElprkDYCjk7vrhvx9unNKstbv5wk8MXx7z4You5tRlmlqZwfIdmrcXByyNatTZzazOUF0o8+dnzoXH5WY+FjTkKU1lc36Vx2uTBHz/tEqzKfo1PfvdLPvndLwGYWZ1m8dosQT7okqzrH11jZvnNESwYThPM5/MYY/radPwqYpLmd/UxcfP7JYCUEveSN82XoVAo0Gq1uvVPvTbnrdZ46+LvE9/GhfD7QD6fJwzDX1iKZC+JAvj/vnjJf/mbf0jcVpiMJLIGt23RjsX01BX5riSKkgBNyKSxpQnEUC8aJ1REhYtnTcSG7Hab3H6EG4E1BttsIQI/iayshTACxyFXCNDKIB2JFBZjBcYm2TzaQiAMoekhVsZAs43IZLpqlMBimm3ocbC0xuAYlaQOngdzAnxXEIYKez4dMz6VD0q0Sh7x9GiHveJxRH2ccgVsTpd4eTTaRdJ1BB9sLvDJVrrL2jk+Wprny5fjlZa873FzafrSdLhr0yW2R1hsv7exwBfHyf45zyWuKV4nLvnR2iJPK9VLSQnAu9PTPNk5xXUEpblcXy3SIH64vMBXTy6uZ3m1xMvT9LFLIZixfpdQ3rmVbsbQi/VMgZNqE7/sUWmOJ6K+K9lYmebJk/HmFndvzPPZ9sW9cqWkrL0+ovvhjUU+3R59z7O+C4FgJSjyfHuYTEkhmJ7OcHiWvuauzRaZKmS4f3/4+qUQzM7k2E+xpXelpFj0Oakn93G6kMGtW6pnbW5fm+XB1vC1TxUyNNrRkDq1Mldk5/hs6FXCB5vzfP38kHfXZqkftjg8qvP+zQXuPekf651bi3zd4z5YzAdYZWi0EhLqOJL5qRz7nfqq6XKWsBHR6ljMv3dzngcPk2O+/84iu9sVZufy7O1WaEYar60wCERsEEojm23Wci75UkAcRhzvnuL5HsXpPLlSFhUpMhmf04Mau0/2iVoXZLgwlWNufYZMzidqxxij8TM+O4/2qZ9ePN/naXye79Kqt9h/fszc2gyZvM/zL7a6zYEvtp3CC1xa9Ta1ozqLG3NsPdjtO2Z3+4USs6vTBDkfx3XYfrg35BzYi5mlKVZvLyWGF66kUWmy//ywz/4dYPPDNcJmxG7n/gQ5n4WNWfLlHEYZTvcrnJ3W2by7zuOPn6Gi4RcY5YUSmx+uc/fffJeFzbk3pmB5nkexWKTdbqe+xP1VM7pYXl5md3f38g0n+IVi4uY3waU4V0x6bc6r1eqVX6i+jxqkb4NflDI1SKIA9g5r/M3//ae0mzHZnEfNKjIxxLafSHkI4pZKGmV2yFNOOtQHm+nGhqiTCigjQ/5Vi/x+BLqTsoHFsxqVvUh/E2GIzSSudO0wceUStQYi6LFFlkAcE1qBIHEJ91yBteDkAzjnSMZilEEFfvJjisUTFo3FdDYS1iCMxlhBOxZIKfA9ULFGHzaZ+0kbMeVT+WiGk9Vsav3X2vvLQz14epH1XLZGNHw9R973+erBPh/enOeLvdFk6ah2udq7PlPkq8cH3Lk5x1f7oy2Cp7MZtkkf1/0XB3x0c57P9w/ZmC7zqDqeOJzj4KTBSiF/KZnKeC4vOgYISltmvYB9RpOpk0r/dWftaOOKzZkyWy8uzBWeb5+S9z0aUboCtDpVYG87eeP/zlSJSnM8WY2UYUb6PBm7FTzbPiXnuzQ7qW63F2Z4NGCH/nz3NHkxkWLWANCKFH/u5gZ/9OlwE1lIVKTlUmEkmao2Q0qkq6bGWuaL6WRKGcPqVJGTehvPkUzjs3WWvIR69OqYlfkiO0f9ilil3ubu9QW+fN5PhnaOznhvY457A33H2qHi/fkZnty7mO8Hzw5Zmiuw16PAPHl1TKmQodYhdmeNkPdvLXC/Q5C0NniBw7nUdVpt8e7NeR4+SD5/tnXK/FyBw6M6D58esjpf5NmTY+bnC1zfyNMIY9q1kNPjBiKUWCHY0YbZUDPlexgtiNoKISVWW6K25vlXz2jXQ6QjWbwxT3muiBDQboRk8j5hI2L7cUK0yvNFFjbmWHt3mXa9zf6LQyr7NSr7NebXZ5hdnSY/laNdb5MpBNz8tQ3qlQZ7T49Qkepuu3JrkcJ0jvrpAY57yvLNxQ75abD/7LBLwJL58Hj62cuukja3PsP0UhnHdWhUm+w/OySTD1i5tcjjn73g5F/e77s3UgqWri90mgY7SEdy718/6iN5YTPi1b0kYBdScPtPXUdrS7PW5taPb6CV4nSvylGPhbwfeNSOzvg7f+nvd49TXihxvaNcbX60zvUfXGPmNQmWEIJCoYDjOFQqlZFqzJs2urjKmKhSbwcmytQvAc5J0LdBoVDAdV2UUjSbzbfmy1ssFmk0Gm/NeLPZLFrrN1p3dl4X1Yt2O+Y//Kv/kINGC6MssQ9Z4RDGiRtVo2N/LoECDme2/62jMAaV7Q9wnbMYVXDIb4UUd1tYIzhv7WmVQkRxokidX6tjafVcpisBrek1l3NMjDICIRNyZ7XGhhHS70kHjOOkV825+motmYxLux0nva2sBaURAqTv4jgSjMEYg+tKZhdLLN+YZ+X6HJt31/jg37hBtpDh1WmN/+EPPuVfPdm6uG6g4PnU26Pvz7uLMzzaGW///cHKLPc79RcfvDPPZ7vDAf10LkO1crni89HKPF89P8R3JTPLBV6NUHDenZnm8e7oN9YZ3yE3E7CUy/PV88vrjmbzWapHSVB/88YM9/dHX/N7i7M8ft5P0K5vTPPwcHg8C8Ucp/vDAf+NzRkeHAyf44eL83z9pH+8d28u8OlOujr1w5UFvnqUfOa5kkzZH0sGPUcyrX1C13DWGv+9vHvjQhW7VZzixc6wg96d6+Pruj6cn+Xx3ulIwhV4Dl7WpdYaVtQ+Wp6jfRbz9DC9Z5XrSArFoKtA9cJ3HTJZl41yqUtcznF7o7/m6RzlQkAzjIec/Ram8xxWG11zybvX5nnx6Ihb12b56nH/sW9em+XJy/5jv3djngc991QIwdpCka3di2f7g1sL3Ht4oWC9c22Wx08TAreyVOJgr4bWlnI5C5HhrNZmc3OGrWfHrKxNEQQu+/tn5AMPG8bUT5q4WjETwEw5hxf4hPUWrXob6Ugy+QCtNK7v0Kw2efLZFkZp/IzHwsYshXKWOFQcb51QOUiIp3QEq7eWKC8UiTvpnbXjM/afH2EG5sxxJavvLjM1X8Ra2Ht2wOHLk2QNG4DTqZvyAhcVKU73Kxy8OOmm4fXdo/kiyzcXqBycUZrNI4Sgdlxn79lh3xjm1pN0wEd/8gxrLY7rsHQ9IY4GS+3wjL3nh2zcXaNRaXLwPP3FTbaYYfWdRXLlHK16i5Pt05FK2Y0fXqN6eIaKdZdgXf/BNa5/tD6kYPm+T6FQoNlsvrF+Sr8MBMt1XWZmZjhIqeec4LvFOGVqQqZ+CfBtyNS5zbnjOLTb7beuKdxgeuJVRyaTSdz1wstrYC5DGomC5IfjP/5r/w/blTrtUKGtJZPzaIUxUkoiP6mV8hDYepL+19toV8QGNdAXSihDdickdxgRYIlj2yVSQitsrBFeQnYEFtsKwb9Qn2yzhXDdLmlCa2wv+bIW12oMAtMJLlwHpCVJPwQ8T+JIQbsdg03+7TqCKNQEGYd8KUN5Ls/C6jTv/+mb/PDPv0fxNRpXfvpqn//2X3zM06MK16ZLvBqTvgfwa+tLfPZ8b+w2H67M9/VQSiNUd5fm+Prl5c0o14tJWhXATDFDK7DU2v3Pj+dI3CjdvroXGwtlWkqxXxlfy3V+Dfc6Ae9MKUNVKtojjCU+Wuq3wgZYmimwEzXQA8HiD1bm+frxMNlYmS3yql3HDDzTy06W44FGpxnfQRbSCceyl+OoR/m6zLTig+VZHj085s6teT7fGk8yi1mfltSJAvQyvbZpppjlVLVRKUHy9fky208rfHBjgS/GnOuHt5b52Yv+tJ612RKHL2pYa9lYLfNsPz29+c71Bb54lX7sP/3OCj/7bHvo70LA0tzFc9Z3vJTaKYD3N+d5sV/hWrnIk8fJc5zP+oDtpuyd48b6DE9fXRBlIZJGwK92L65hdbHE7n6tm5Yb+C6FjNdVMYv5AGEsZ2fJPX//9iL37yXfw431abZfnGK05b3bCzz8eo9iMcPiQgE/63F61CDju0T1kJzvkHUsThSjw5iwGVE7OqM4ncfzHKrHZ+w9OyJfyLCwMUOQ8ahXm+w+OSBbzDC7PEVhKkccxjiOQ/Wwxt6zwz63PS9wWdycpzCVJY7iJHvCWF58tY3qMfHIFAIWN+bIFjJErYiDV8fMr8+ilebFl/33Kcj5LG7OkStliENF66xFYTrP009fpKbgub7L0vU5phYTBWv38X5iPDEi5Ft/bwU/4xNHMYXpPFoZTvcqHLw86qZPJ4rVDbYf7lI/vfiO5ctZ5q/NkikESS1ro02Q8Xn22cvUc0FipvHDv3CX8kKRu3/mfW792iZu3vlOXowOGl1cZXieR7lc/pVvXHwVMCFTvwLw/cstmHsxaHPuOA5CiLeOTP2ia5DeNDKZJAXu28xzWkpfL/763/p9Pnu0RzNUKG3IFjyaYQxCkMsm6X6BEei2RiiLGugNJBsx8cwFycnsh+R3I6Sy2EYLfP9CSWq1EY5EdAwjpNEIK9AdoiUF+EITdl/4W3xhibTlvDGVi0EIiDvBiLQGYS3aJPsHGReMQWuD4wgyGZ/yXI7lzTn+f/beNEaWNT/r/MUekfu+VtaStVedc+7t24sN3QYbz2CskbDByGgwHsRoDNJIY818GAaYEYyZBQRIjDQfEGakYaQREmIGEGC3YWRjDHTb3X277z1b7fuWWZVZVVm5Z2RGzIfIqsqszKw6d+s+p+95pCvdOhUVGfFGZMT7vM/zf/7zX5rkS394Gc8rkKb70LEs/sn31vj2zgnvP0CUJoMB9gvDlYFrJNxuTu8QluXZ/mCGx/EoL0ZMeq/hNzQqdwIqppIBtqqlPpIyH4+w+QrELOp1kfR7+HCEqtN3vNEwaz2KwvJ0bGTdVkzWOR8SarE0HePDO2EUc/4gOyMUtIXpKM96SOd40EfuYDi5Xc4OEtTJsJ+j/X6SocgiRkDlvDr8O7cQDLK1f4GuSQiGdK8qCY46ZZv2DdEcdWxPjwZ/vxgKsrV3TshncN5qDhDNa7g0GVuBao8NayEcZrurFsyNR1g9Hn69VVlCcymU7tSKJYMezGIDSxCGKnCj1CmfS6PVbtMw+yfsM+kQjYsG+dP+NMqlmTgvN/vrxpJRL7lCua9Obyzh5zhX6vs3R426vV+mMiF2eyL8ZybDN8QNYGYizFZXrVqci7P2wvnuLs7HWXtxQijkwmo5z5exTJBypUW9VCMadqOrElKng91oYpltLNOi3TSRFemG8Fyr3IXjC8rFqtMAOOCiVWtxsnNGvXvPO+Qpgsdv0KqbVIpVggkfZqvN4XqOVt0kEPcRSQeRFJHyeZXc9umNchRKBYhmwpxs5ZFkiXAygCg72+V3+4na2HwCzaWy/cEe3pCHyFgIVVeolevkd25ro0KpAJGxEFvf27vpneXy6UTHIxgerUveztENFX/Ux+aQoAoAw6OTzMYIJgK0220OVo85H6LIgkMOJx+l2Xx/B8NjdOvNNJp1Jz7+OnBj8kmG6kWVs4N+JTqY8N+EW0x/cZLJ5bFPtQ/WfXhd67A0TcPtdnN+/nAz9Lf4bPGWTH0O8KpkalTMuaqqSJL0WodNDMN1fZdpvlovnB80NE1z+p18jHF+iEQB/LN/9Zx/9GsfYmLTwVnBr3U6IHRVHg0MS6RlWgiigIBNuyf+3LZtEMFSRdQrE89+A6nufKaORaODs0rZ6WDXGmhuDWybVr3l9Km65UhIooBmyJiNNu1m26kXs5z9i6KI4VFp1k3aTUdpsjsWoiwiSSKKImG1LRRVJJTwkX00xtwXx3n0tTn8Yc9HHrtXRf6qyt/519/i27vDi309mkK9bt4b3hD2urgYkQy3NHtLLmKaQWFEbczN9qkIa0PsNsvTMT7I3046v5CO83T7/rALgMfpKOvbBWJpL/v31H1JooC7LVHrmcwLAsTTvgGb4VjAS+5kuErj0mVsl3iTgufRFMySyajbOOjRKYnmTVrfu4kYLzeHEziHJGmcV2/H8J3kcNVrKRvl6TCrpVunetq4UUOWZ2I8PbyfaCYCbmrlFpX66GdOIujhpFah9zTHQl5O927HbjEb5fnhaAL8eCrGh91jWUiG2V7v3zaT8rN3OlydejQV42kPUVdliaSikzstszwT49nO4FgIgkN6jgqD1/JRNsbzHnVqJhXidO+SbCbMizvESZFFfB6N4mX/vT0sjGJpOsZKz/XVNRlDlbns6RG2OB1ldeN2m8VsjNWu/c/tUtFkkYsL57Pms1E21k4RBJiZirC1fkos5qVRadI2LcZSPnSXyulxiVDYDa02Ho+GaLVpN1pgdrDMDuViBQEBRZMpHF1QrzRITEZQFJHzkxJn+0UEUSA+ESaU9NNqOCTMbJoUjy65yJWIZkIE435sy6Z4csH5UT8BCaUCjM0l6LQ71K8cIlS5HHxuKJpMciZOIOYFy2bv+SGlIdcIHOVo5r1JdLdGq2FymS+R37tVlnoRTPqJpEMUDs5v49av6gNhFcmZGKqusvf81g7tC3uIT0bRDJVGtcHpQZFENsrJRp7y+fBWDwCZxRTesAfbsjEbbXI7pwOhG6IkMPflaXafHdCoNm/6YPVaBD9rgtVbi/2DJli6rmMYBhcXD/cZfIvPFm/J1OcAr0KmemPO79rMFEVBUZQ3Lv78s6hB+izxcUjrq5AogO+9OORv/73foWVZtEVQbGgpPe9R00LVJJqW86IQzA7tOz2YxEaHjiESOKihndRoN7oTxnYHZBlEEREnmrxpOnsWbBtJsGh3k/hkSUAWbBrd9C1FFhCBZtOZIOu6hNXu0Go5NU2KItJutXF5NAIRN/HxMAtfmeRL//EjfCH3K4/Tp4mvP9vi7/6b7w6EHCwkwqwf3R/esJyOsnJPTdLybIyjcoXiPVHc13icjPJyb/i+lheSfHDokL4pn4/9IbHod7EUC7O+VyQR9pA367RG2GOzkQD7B4Orz2MxH3u1cp8V791UjOdbownI0lSUD/POOSwnIqxv36+g9UarjyluTocknPXu+2k34EMUBMJoXA6pF5IkAU9Ip1jp/969k4rxcu322A1NBkOg0hhNlJ6MRRHa8OyBFMaFyQgvTm7P9VEszPrW7c+xgJt8vcYIcQqvodIUOrQ7NnFJ5+y8fxzmMuGRQSm6KqPoCqVurdi7YzFWupY4TZWRVWm4OjUi2c+tKyBAtWGyPB5la+UUy7Jxu1Q6tnWTtHeN+WyUte3+8fG6VSfQoGdsPS4VbKj2TN5nJsJs7dweg6Er6IrEZdfqqWsyHl2l2I0Mz6QDHB9dYnVsVFUi5ndzfFxCUSRSMR8He0VS6QCXeee+TUQ9FHJXzC4maDTaVIoVAgEDTZUQbRu73aFdb2E2TEQsFFV2wilkEVWTqV7WMJsmmqEiigInm3lKhQqCIBAdDxGMejFbbfK7Z31WOH/Uy/hiCtuyaLc6rH1re6BeKjIWJJTwY2NzeVJCkASCMT8Hq8dUe6yugbiPyFgQWZa69VGnpGcTKJrMzocHfRN/3a0Rn4pgeHVadZPqZe1GieqYg99/QRSITUSIZkJIisTpboHcztnQ2i6AqScZmnWTZrVJZCyEospO4MZO/iYwQ9UVsl+YYOu7eze1ZdcIJQMEk066oWVZ1MtNDl4OWlGv4fa7mH5vAkVVbgIupt4Zxx/xjvybTxPf7zosl8uFoihvVGrxDyvekqnPAe4jU68Scy7LMpqmUa0+XEvxOuHTrEH6fuCjktZRdVF3cXh8yX//t75Oo96mpQq4BImW3aYlX8eH26iCgNmbXtdq0+mJOce2MXI1gqdNmo1u00RsJNui3e0ZpUrQaphO5B5gN5rQtfkJOJa9ltlxVvU6HQTLAlFCFAUU2eldJQhguFQCUTfpbJTHX5vjS394CUV5vcJF86Uqf+Pr3+xTKp6kH44yf5R8uBbqq+9M8jsruw8eQ1w3KFwN/86qskgo4eai3qBRvl8tA4dseCz5ZjK7NDM8GAPuJ0h3/27GF2A3P9r2KAgQT3k5uCjzKBpmbe9+MmpoMrglvJrC2dHoVe7rfYfjbnKlKtPRAPu7o49jcWowWXFMdZMv3rFjPqBOjakuTNPiot2i3Rm9yJEIujmpVbGAmM9F6aQ2MCGdn4rw8h5y/mgqBtisrgwejyBAIurl6Hy4SvEoG+Pp/hnz6TC7q/3n/XguyYdbw+2sY/HBvlPX+xMsm7Xn/UrU0mx8QJ0SBEjH/Rze6dO0NDOoNC5Ox/oaEAPMTUTY2HG+Q5oqMZ+NUq+2UGTnOaMpkqN24ywWGZpCsVjlqtJAEBwLc/mqgc+ro0kCxUKVTCbI6dEl2JBO+jnaLZKdiQJOap/LpdJutvG6VayWE24jS9Ax25ROy6iaTMfskNstkJgIoygS+d0Cl2dlYpkQwbiPVr3F0ca1rc9LeiYO3bCH/dVjLnpqxAyvTmIqiqYrDiHaPsXq2PhjXpJTEafRb7FCbCKCostULmqcbOX7LH+yKjH1ZJx6uY4girj9Bq1Gi/xugeqdRYhwOkg4HWTre3sEoj5CSb9jJSxWONm+DavwR70ksrE+sqUaCvGpKG6fi7bZpnB4gaoreAIutkfURQmCQHwyyvhCilbTpHh8zslWvq9m7BresIdENsbGt7cRBIFwOuikFSoStVKd/F6BZrXJ3I9kOVrLUR2i4IVTQSYfZ1j82iyJqdgPDcHyeDyIosjV1cOLZW/x2eItmfocQOnpu3MNVVUxDAPTNKnX6/d+ySVJwjAMKpX7Jy+vGzRNe6NqvV6VtL4qiQIol+v8t//Tr3FxWadjiGgItM0ODQ1nVtOxUVoWpquHrJiOAnXdR0qqtfHsVJDOKgiGE2VuN1sIcBMsQb2B3b3P7HYHwWqD7ASfiJ12Vz0TwLLQNQls6LQ7CFh4Ay7GZqLMfWGCx39gjvH55EcZth8YLNvmH/7uC/6vbzzDsm1SXje5B8IbIpo+NE2tF0vJMGgiz+4JRoh5XRSL95PuiN8gFvf2WbBGYTLs5/Cwf3I7Phlga0gy3ITHy9HZ8Em6oUrIAZXzah2PptIstR4kcpMJP7vVMkZLpN58uL5xaSqKIAq83Hj4vObGw7w8K/IkEb23jkkUIRB1cdqNo58M+znaHVztva92aiYWZH/LqV1YnI09qE7NT4R5mSvyJBlhdX1w20TYw3G5chPmchfxgBur1ubiavj9ND8eYWVE7ZSuyvh8Gp3LNld36tlulKshdWQzmRAbQ3pgvTMZ43jvcqDhs6pIuFzKwDFOpAbTDiVRIBpy90Wl3w2j8Hk0JpMBMG0K+TJnZ1WwnWCJtbVb0ra4kGD1xa0dd3oqwvbmGYoqkZ2OOUE43bYKx3vnVCotJifDHO0WAYGJ8SA7q3kWlpNsPT9m6QtjWB2L0lkFt0eDTgfDpdC4aoBl0ag2nES/ugm2jWYoNOstRLHb0kEUuDorU680MDwaulvj8vSK/E7BsY2JAompCP6wh2btNmodIDEVIRS/tQtWLqscb+YHEgEVTSaRjeGPeBElgcO10T2nIukgoVQAWRGRZIkX/2F9YH+9+51YTmP4DBrVJqc7BS5Ph0/eHbIVJbd9RjgdQjUUGuUG+b3CTQ0ZQGoujiiKHK7eXiNZkbrH78O2LC7yFwQTAbY/3OtroHwXyekYLr+BJDmx7te9s1o9KqfmUpl6Ms76t7e7Dee7BOvaIvgkw+T3kWDBpxN04fV6sW37jZub/TDiLZn6HKCXTMmyjNvtptPpvHLMuSAIeL3eN271402r9XqItL6qpe8arVabv/Ar/4J8oYLiVmjUTDoCWIKFpUsIpo3Y6GAZIrYn8zEiAAAgAElEQVRya+kT6yamXwHLxjip487VHVtg1/WhSzYN05niSYLtBEBYTo2VJgKCgCg4L4mO2cbu2KiKSKvVRhIFwgkfqakIT35sjq/89CM0/aMFpLxueHZ4yv/+m99hJ3d/8ETc5+aseD/ZEoCAonFVbzKTjfAyN3wy/IWJJE83Hm7U+OWZFN/aOx5WFtGHd9KxgdjqkM+gLJk3vZMAAi6NSvF+pXduPMyLYpFHyQirD9j2rvGl+RTfWXu1d4ooQjYWYGtEoftdZDIBLk9rVB6INl+YjPC826vrSTzKypD6KhitTi1HQmx0LWjhgJvzVmOgqW0vUiEPZdvELLYG4sWvMTcZYeV4uDr1zlgU0bR5NsLqKQgQi3o4GVGn8qPTKd5/PtwytTQdH+ghdY1sJsxWj2L2eCLG2vMcizODdU/gBIesbA8e49xUhPWd/vtjaizEzmE/WZtIBXBrCs1yi/29iy55irO2ekuedF3GpStcdK1zoiiQSfmd7QGXS8VtqBS6seXzC3HWnzvfn7FMEFWVUA0FRZV58cEhApDNRth6mWNuKc7WixzTczEKJ5ekx0M0GyZmzcTQZZq1Bl6fC7A4zzkWQsGG3O4ZqWyUjtlmf+UEl08nMRHGrLc4WM3RbrXxhtwkJiNYlsXJZp5WwyQ2EcYb9GBbHWRFpnRW5ngjf0MCwFGDktkYhkejelnl8vSK1EyM6lXjhqAIokB8MoI/4qVtdsjvnVEuVEGA7JNx2u0O+y+c6294deKTEXS3Rr1cJ7d9SrPWwhv2kJqNs/PBfh85CcS6VkJFpnxRpVQok55NsP29vb7triEIAtFMiOhkGEWROTs456QnZOMupp5kqF5WKZ1ekZyOOwmCZoezoyKFbjCF4dWZWB7rI0jXECWR6HgYf9Tbrd1qsvPsgPaIxZpwKog34uGqUGbqsWMNvLYJ/iAI1vX/PwS/349pmm9cCcYPI96Sqc8BZFm+abgLUKvVPnJcuN/vf+N8uW9arZcoirjdbsrl/lX/j0qiANrtDn/pV/4luWIFW4CG2caWROg40eZis4NgOqEPbf8tmbFtGwQLwbTw7FSRLuuAiKDICJaFKguYTROr1XYUqG4xrm7INJsdJyhCsEEQkSQBb8AgGPEw/STNF39yibkvTnwmjYl/0CjVGvyv/+IbfPeetL/H6eiDPZzSIS8nOef6S5LA+GSQ9SE9nB4lBhujDkNccxFLPJzQl/X52R8Sp70wFeXZ6e0xP0pFWb1H4bnGTDaMZAus7r0amfrieJznJwWaQ+o07iLudxOSNVbPXi3B6slEjGevoM4JAkQTHgrlOkZDoNYYPvHSVQnR3V9XFHTr1E8bN9H9AAszMZ4/kMj45ekk310Z/S5NRbwcXpUH1KmgR8csNHDpKmXTHEnaRqlTi2MRjjYvkA2Rcm2QZKqKhO5Sh9aYTaYCNwsH72aTvOzGqUuSSDjo4rTYT94EQSAe9XByR80MB1xcVRoDRHJuMsL6boGgzyAd8rC3VWBqPMxKj/IkCDAxFmRv71Z5mRgPsr9/flMIGgwYtOptat3zSyb9FHJXtLuft7AQZ61LqLIzEXY3nNqfmfmYM9qShASsPTtmIhvm7PASf9BFq97C5VbRFQndULk4LeP1aZSLFQy3Sr1cJ5LwO3VVArTNNrZlo7tUKpdVOqaFosm4PJpjR7Qs6pUm5YsqmuHY48rFCsdbpzfWT82lkpqOoeoKl7kS+d0C3pCb5HQMs2GS2y0QGw/fkKvjO5Y/AHfARfZxhlbLxGpbFI8vRypX4VSA+FTEaYTete5dDnk+qIZC9sk4h2sn+CJePEE3VseieHTOeY9tUfdoTD7O9JEtVVeIT0ZwB1x02hbnxxcIooAv7GF7ROPq6/NY/NFZ2q02tXKD072zoUpZKBkgEPex/YFjNZRkkdhEBG/EiwCUzyucHRSZ/sLkSBII8KM/8x5/7u/8aVTjB7Pod59NMBAI3Fui8RbfP7wlU58D+Hw+VFWlVqt97JjwQCDA5eWrrQS/LnjTar1EUcTj8dwogB+HRAF0Ohb/w1/7NXLnFadY3raxFCeu3LLbCBYgitiiABJY6q0qJddNxIqJcVzHJYFtgSSCYHWo10ysjo2mirRbHTodG12TMLtpfLIs4PEbJKfCTD9K85WfWmZsNvGpjM2bAMu2+T9/50P+0e++HKoELSXCrA6Jl+7F47EoL3pW8VVFJJb2slO4nZiIgoBPVCkP6aPUi7jfQyFfQRBgei7KygjboEdTaJZG11VNZ8Os5p3jvhuJPgphn4EtQPGBREJw1LiIqJFK+fjwgV5O4CgyL1dPGZ8Ksn1PPdY1HiXCNC2LzdzDiVdz42GQBTbWHwjCuKNOvTee5PmL/ndi0Kdz0TZH1k4ZqkxGd7FduBxp5QOYnYywekedepyMsN6NCV+cifH8I6hTPpeGUrGoVFoszcZGKlBL2dH7nc4EUUSJrZXTvjS4hekYq9uD+5ueCLM55L5Znr1tonyNsYSfkEtj/WWeTpf46JqMris3QRMA4ZCbSqlBq4eAL87HWV29XdBYmE+w9vJWwZ2bi7Gx4pAyURSYyATZ7QZ/zC/EWe9aA2fnY2yt5LFtmyfvZWh1a7DODi9p1EySaT9He0UmpiKcbBeYnI9hmR3Mhkm5VMPr1ckfFElNhDnaPMXjN/AGDA5WTxBFkfR0lHqlwcFazmlKPBvDcGuc7he4yDnPf0/QRWIqgm3ZHG869UTJbBTDrVEt1dDdOtg2p7sFSoV+AqsaCslpZ58d08S2BXae7g/0nPJFPMTGw0iKROmsjCCAJ+Bi63t7A2pPIOYjkgkhyRLl8wq+sIeD1RMq58Pfr96wh/hEBJffoH7VYO/l4Y118S6uVabjzTzhVADNrdKsNDndK1At3S6GJqdjSIrM4Wr/dy0Q8xEbj6AZGo1KA8NvsPp7GyM/D5zeWe2206jD202BvSqUye85TZVdPoM/+Zf/KH/oP/vaa7cAeD01j0QilMvlt2TqNcBbMvU5wLCaqY+KN5FMvWm1XoIg4PP5KJVKH6kuqhe2bfMr/8vX2ctdUmm2oW1haaIzq2qYIAvYsgSigNBs96lSYs3E2CigXLUQRBFbkBBtC8tsIyiy0+PJKXvCMGTsjoXh0Ygl/Uy/O8aP/9yXiI4FP80heSPx79b2+Zu/9rt9TWxFQcAtylTvSYIDmIsF2Tzsn/S7DAVPROfowlnZnwj7OTx5WCV+PHYbBe5xqUgBmUJ5UKVdTkdZG2FpA/C5NUwDKo0WHksaqdj0IhsL4FaVexviXmM87ONkv4QsC3h76pZGYdLj5Sh3RTruY79cvtfCqMoSWt0mHHSzf3X/ttdYzgw2GR7YryKiep1+TZIoErZVLoeEgdxXO/UkE2V1Jc/sVITVe4Im7qpTiaCby8PKjWrh9+ofSZ1ajofZ3LgNcFBdMqXqIDGXJRGvT6c45LyeZGMO2en0j6ggwFjSx8HJoFIwm42xfkch1FQZQ5e5vGogiQILk1H2N7tK1Gq/yjudjdz0jbrG4nyc1ZVbxUpRJMJBF/n87ecvzMVZW+klWHHWXjo/G4aC161y1lWDF5YSrD1z5jazC3E2X+bAsll4lGTte4cEwi7GsxGqlRaaJrH64RGTMxHODi4Jht00Kg0URSIQcmF1J+r1agOXR+ciV6JwfMnEQoJWrcX+ag5fyOmJVz6vcNS12aZnogSiXmpXdVRNxrZsrooVZEXG7TconV1xcsdOGZsIE4z7adWaHG3kiY6F8ARdnGzluSpU0FwqyekYukvlqljhePNW9RJEgew7Gcxmm8LhOYmpKKquUL6ocrLVX5vl1B5lOFrP0WqYJKaiGF6dRrVFbueU+nVtnACzX5qieHRx03dKlERS03E8IRedjs3FySXnuUtmvzg10Oi3F+F0kNhEGE1XKZ6cc7J1OtKuN/nYsQeeHZwTGQsRTgVRNIVqqcbJtpMg6Pa7GFtIsv6t7aHvWFmV+UO/+FX+6C//FIHY96eP1UeFLMv4fD5s2+by8vKN6aX5w4y3ZOpzAEmSkCTp4Q3vwZtIpkbZ5l5neDweJMnp9N5ut2/6ZL2qQvW3/rff5PnKCTXLQmi26RiyEyRh2wjNNpZLud3YtpzfA1quirFfxq1J1Gsmtm0jYdHpKlOa2u3tJAsE416efHWGP/hzXyQ6FvoshuGNx9bpBX/l//23N8RgPOzjMHd/zaEsiSgdgWZr0OoW8hnYboHTco130rFXCpVYiIXZ6FEDxhI+DhqVAaXk3XSc55v396GamwhTpzM0En0Ynow5NUeJjI/94v3n/U46ysuuyjIzEWalMNq+F/W5uDy+XQmfn4vy4p5+TIupW+IwNxvl5T3bgmOfiyk660OCN+7iyUKS7+2esJgKs7U2fL9Bn8FluzVAdGRRJCQ4Sksy6uWoNGjl60WvOrUUC7G11f95SzOxe2unEjEvR8Uyc+kweyuDf/t8b/j9tJiN8uKOVTMZ9lDLVcmkg6ztDJ73RDrI3vGgCpiIeMifVwbi3h/NJSmV64gNi+NDZ9wdy6DB6Vn/QtjMdITNnnMXBKc26qDnvhxLB8mdXNwQPUUWiYTc5LoET5ZFZzy6fxMOu2nWWlTLDqFcWLy1/80txNnoEqr5pQTrz46RJZHJmQjbL/NMzEZxuWSn1UPHZm8tz8xyku1nR4xlI1QuqrSbJtF0gL2VY6LpIIGwi9JZGUkS8QZdNGtNqqUGlmURiHopHJ5zuud8ByLpAJFkgPJFlaONPNfysT/iIT4Rpt1t/Gt1LMbmEqiGQuHwArffhcurcVUoc7x1yt1B1z0ak8tjKLpDNLY/2B8ab35dm+UOuJBkgYOVYy7zw7/PgiAQm4wQn4piWxZH63mKh6O/y9l3x2nWWqiGgubSaFSa5HfP+oIqRElg9stZDl4eU+uSekmRiE9G8Ibc2JbNZb5Eq9EiMhZi8/3dkZ8nSiKP/+Ci07tQEKicVzneymH2ELPIWIg/89d/ni/8R49G7ucHDbfbjWEYXF1dvVWkXiO8JVOfA3waZOpNrJl6k4Iz7lr6RFG8qXVTFAVRFLEs64ZctdvtAYL1d3/1d/jmN3aoyyDV23RkwSFPlo1Ya9Px3RIpoW7SDmoIrQ7u7RKuqolo2zRbFromImIhigLtZhuPTyP7aIwf+all3vvJxdfO8vC64qJa56/+k99h5bjIO2MP1+1kYwF2D0dP4mMhN2XRJOZyPRh2IYsiWkeg0ewnZkuzUT68EwEekfShtTF38ZXFNL+3NrrHSy9ShovT8yqpmJfDepXOqIZJQMboT3Cbmg6znhs+CXsyFmVl9XYcA16dstgeWWu1GA2xuXsdCuGi2G7eG1n+JBNlZeWU8ckg2w+NsSzgDuhEZY2dg9EWwmHq1PJYhI2e85jLRlgZ0sPpGsmwl6NymUzUT3578Lj8Hp1yxxwdZJEJs1cs4TPlPqscOGTD5VO5KA/eA6IoOESkG6Xtc2sYLbg4rxEJuTm/qg+9tjOTYTaHxNwvzsR42aOqiILA0lSUZqnJ7n7/GE5PRdm6Yxn0+XTa7Q612q3CGwm7KZcatHoWIRYX4qz2qFHRiIdKqX7T387vN6BtcdVVUjKZILnDC9qmo77PzMbY7P59L6GamY+zu5ajY1osPE6x+sEhXr9BKOQit3fO1GIcsfuZjVqLvdUcM8spcrsFwCY5EWL72RFur058PMjB6gmNapOJBSfBdPfFEVbHIj4RJhj1ktst3JAXf8RDYjJMvdLkbL9AdCyI4dGpV5oggO5SKRxeDNRBuf0GyWwUURQ4OywSivmxbJu950c3Vj6XzyAxFUXRZKeZ724R27YJpwJEMiF2nx3SrLWQFInEVBRvyEWrbpLbPr0hOVPvZGhWWxz3LMz4wl7ik1EkRbiJb49PRpFkkf2Xg3PI635cgbgfRXeaum98Z2dkHytJEZn94hTHGzmCCT+GV8dstike9dd4xScjaC6N/Ts9qiRZJD4ZJZgI8OjHFvmTf+FnUHWFdrt9s5j5UevLPyvIsozf76fdbnN5efmxSgDe4rPDWzL1OcD1xPyTwOfzUS6Xf2Cdvj8uXncS+FHqokRRRFGUG5IliiKdTodKqcpf+e/+ESu7F1i6iNB05KS2T4G2hdS0sDShrzYKs43UsXBtlxDKDbBtFEXEBnx+ndhYkCdfm+UP/PEv4PG7PpuT/xyg1e7wN/7lN8gVK2yd3F+z8yRzf4NbgKmUn1y5RrV5v10wGwuwtz+cDMzN3TaMTQe95I9fTbmdjYQ4bzcoPGDDi/vdFHO35GhxPj6yN1Pc7+b8uF99iATdFDrDk/CmPL7B/kRzMZ4OqbXy6ArtS7PPirY4F+fZwegxTmsuTotVMkk/OxcPL8I8mYnxYuV+Vc/v0ajQ6SN844abXE8gQyLs4aTs9J0ahbnJCFajw+7ecKJ5nzoF8F42wbPnwxMgF2eivBjxt7MTYdYOz5ElkXGfm8Oe+2pxNsbLIYEksbCbwkV1QIXyuFQsbKp1E59HI+Yy2Nsukkz4yJ2WB+r2FuZirK7d6V21kOTlav95PFpK8eL57ZxEEGByPMTu7i2hm52JstnThDmTCXJycKtgzc5G2VzNg+2Ev0xMhNjZcM6tl1BNTkfI7RZpNtpML8Q52DjDNDvMP0qy9sEh/oBBIORibyXH9HISRXEy2CVZpHZVo9Oxcft0tp4eYFswtZjkMl/i9OAcb9BFKhulcHROqVDBG3SRnIpidyywbZq1FleFMvVKk2Q2SrvVZn/lqK8WKpIOEk4HaFSaHK6fYFs2mYUUmq5wuJbD5dMJpwKYTZOjjRzN6pCY/27jW8uyOD+55HRU/zcBHn1tDtuyaNZbnO0XKY1omxDNhPBHvNSrTTxBN2bD5HS/QPlOwml0Iown4GLnwwMANLdGfDKCy2d0/6ZIuVhh6p0M5WL5Jt3vLnwRL/GpKC6vQblYJrdzdkP8+s71i5P853/zP2V8Ke2ckiD0vWclScK27RtydU20vp/weDzouk6pVHpjWr183vCWTH0O8GmQKa/XS7VafeNWQ15Xe+LHDZfoxVWxwjf+6fv8s6+/pKQoWJKAYDmBEpYCAgKSaTmWQV9PbVSrjVFq4D2r0ay30HUFX8ggu5zmJ/7Ee8y8M/5JT+8temDbNv/Hb33A//PNlXu3mwz42B/Rv+Uas6kQog1r5xdY9yxsvDMW4/nmcNKgqxKemM5JqTo0En0YQh6Dq7Ma2UyItfP7SeE743FerN2qAqoi4ooYnA0hYU/GoqysDX7+0nycD+8QsIjXRelksNhdVUS0oMbFHXXt0ViUtTv7dhsqpga1IWR0MubnqEf1mZ6OsHZPLRPAO5kop+dVTh/oL9arTs0lQ+xuDNrj5qejvDwYbUNcGo+wuXk2QFCu4XWpNLBoDFHpxmN+3C2BzSH2O3B6PAUjLk4vhp/HWNKPT1VZv0McPW6NtmUN7Q+2NDvYhBcc0ndVbVI7q3PVo5ItzsdZWe/f3uvRsDoW1TuJg9NTEbZ2eu1+kB0Ps71ze738Pp1Op0O1cvu3i3NxDg8u8Pl0DF0h4NWpVVtci+2GJtPo2pwRBATLplJpUK+1iMS8bDx3yElqLED5vEql1CAxFqBRbnJZrDIxE+Eid0X5ss7c4xR7KyfYtk12Ic7GB4cYbpXUVJjNDw/RXQoT83GKx5eYDRN/xIPuUjlcz9OstYhPhDFcCjsvjjAbbSRZJDOfQJFF9lePaXbVOc1QGZuPA3DYVbpcPoPUtKNGWR0LURLJbZ9xdSeoQpJFUjNx3H6DymUFl8/gMndFfrf/PvSGPcQnI0iSSPH4guLxJdPvjlO5qJK7ox5Gx8KEx4JYHYeItc020UyYzfd3B0ItAEKpAOF0EFmWUHWFF/9hfSAooxeRTJBgPOCEHikS1YsqJzuDdVQz701SODrvsyVGxkJOw19ZolFr8hO/8FX+0C9+9UG3hSAIyLJ8Q7Cu51O9BMs071/g+ji4VqNM07yppX6L1xP3kalPNvt+i9cGn4aaZHcjsN/ik+PjhktcI797xtf//r/l3/3jb1FPxbAjPixshA7YuoJodbDbDpnqSCKWenvdpLqJb7+Ey7KIZYIsfHmCP/ynvoI//P3rpfF5gyAI/NJPfoGwx+BX/7/vDg1B8OgqB2cPKyGGJPFy85RHszGe5karEMPCEK7RaHUINAU0WbqJjX4IqaCHq7Ma2wfnPJ6P8eye1L16rX9S0TItxlWdMwbJVOVqeCLh5vYZ4ZBBsXJ7Him/eyiZapkWWY97gEy1qoOTm2q9xVImxtMhkeVeqT/6uFJqOJPREexFlSX29s4ZSwYeJFP7hxe4NJlasw3N4ROi8/MaktNHeygapZYTJjEibr5caw1Vp0RRQKx12D6+YnI8yO6Q/lwdyybkNkaSqbjXxYcfDFo8K9UmS3PxoYR87+gSt6FQvZOoZndspFq7j0gB7O6f4/VolHsatJYrTeZnY6yt95O40lUDXZNpdCfQtg0XV3XcLvWGeJWuGjxaStJutRGB2lWD4+0CIZ+Lo61b0jW/lGDt2UnPz7c9qHRDIRR0cXFY4uKwxMxinGq5jqHJBLNO0l6jbqJqMh6/wd5mAa9fZ2I+xvqzY4IRN16fzuoHR0SSftwelfUPDgnFfYRiHlbe30c3VCYW4hyt56lc1ggn/aRnYuy9PKZRbaG7NbKPM5TPq+x2EyNVXWHmi2msdoe9F8fkdovEMiGmnmSc85UEjtZzfaEOgiCQnI3jj3goF53Ai07HsXN32h1Od4tIikRqJk4g7uuzDJaLFcrFCoqukH2SQTVUJzAp4sVsmn3WwrPDImeHRfwRL4npGPndM6yOxdxXslwVKpxs5ftse5XzKrGJCDtPD2hUm2hujfRcEpdXp1FrcrpboFqq38Srb76/Q+GOrVZSJFJzSbwhD4Lo3PMv//36wD1ZODyncHjOV3/uy/yp//GPv3IPKdu2byz2vXVK1+RK13U8Hg+CIPRZBNvt9sd+179Vo3548FaZ+iHBtWz9SeByuW4eJm8SXidl6pOSqK0P9vnGP/sua9/awrJscpqLhq7QkSRnEqZI0LEAC1txgifElknL60wS3Rd13ov4+Olf+P38vj/yDp1O5zNdVXuLQfz2iz3+9j//5oCF7dF4nJcPhEAApNxOLRLA4uKgegPgMzSql00eiq5bmomyul+4t57pGgux0E0NjKqIuKMuTkuDE2+PrtIstYbWOCwuJnm6f6tYhTwG5dPayOOcnYrw8vR20jvl9Y1OMRQgnfGzV3AIadCjUz1tDP2+KbKIK6T3xbarsoTegPqdpMLF+TjPRoQzLGeiTsy2AImUj6PC/XbJpdk4F7UG+d3Rz6PFmRjPh6T/zaZC7K0VCAddnNcbI6+ZS1ewFcFpidDF4/Eo68+de2s8FWD3dPgYCgKkUj4O7qijmbif4m6J8UxwaLy5oki4PRoXpUECf1edepSNsfb0hInxILtD6szmZmKsD7ENTmaC7O7327kW5uKs3iFZczNRyqUGYb+Ly0KV/OEly4/TvHh6eLNNIOiiY3aodOulRFFgfCLE7qZDUgVRIDsdYbtrL3R7NLxulfyRM27Z+Rh7605su8en4/cbHO+eI8kiC0/SlM6rGG4NTZdo1lo06218QYPNp4c0qibTy0kKRxeUChWSEyFUXWFv5QRFk8kuJcntnlE6q6C7VCYWEhSPLykcOfdMZj6Bx69jNlpIokiraVI+rxKM+2hUGuyv5m5CKgRRYGwugcujkd8rcNFjj01mowTjPjqmRafd5ngjR+1qcMIeSgaIjAWxOjaKrrD37IDqkOscjPuJTYSxbfsmNn37g72+cIdraC6VRDaG4dUQRYnT3TPORlj1rs/j0R9YwGy0sG24PHX6bN19blwnDW58Z5uO2cHlN4hNRNDdOq16k9N9h+D9mb/+8yz9/rmRn/dJIUlSn01QEAQ6nU4fwbpPYVIUBZ/P91aNesPw1ub3OcCnQaYMw6DT6dBqvdpK9uuC14FMfRJLn23bfPCbL/n1X/1t1r614/wb0JnNYAdcIEvQ6WC5HMIkNFpYbhUEAduyQBVAEvnjPzrHn/2lP9i3wnXXtnC9qtYbcvEWnz7e3z7hr/3jf9cXnf44HeXFA3HcEZ/B5Vm/ujM7H+XFnaasy+kIq1sPN8tdSIcRFZEXD/R2UmUJqWFh9jQBHU/52bkqD1gNl9ORkTHrXrdKSxeoNJxnyLvjCV6sDK/hucZENsRm/oKI16B0cn+t1njSz3bJIQKj7IPXmM9GeHFySwyW0hE21gaPO+DTubLatNqDtqMpr4ejbkJcdiLExgN9rHRNIpsMsbox+riCPoNLs0m7R54SBBh3ezjpftbiXOze5s/LMzGedtWpgEeH81YfSZzORvpSHvvOKRNkq+c83IaCpy1ycV4nHvWSvygPtRnOT0dZHZLsJ4kC4ZCLs/MqyxNR1p7fkumZmSgbw4jTRHiAOEUjHkqXtb6eUoIAE+MhdvfO0XWZqUyIq0IVv1vrC/eQZZFY3HuTFAgwNR1lf+vsRnV0uVTcbo2zbuKmokokEl4Od53j8Ph0XJrMWfcaTM5GOdo+w2x1UDWZsYkQO10L5NyjJFvPT+i0O6SnwtSv6pznywSjHkJRNxf5MrpbJRz3Uq+2EHDsarIs0qq1QHDSDAUBaqU6ZrONqjvv7+0PDxx7myoxsZii3TLZe3l8k9bnC3tIdlMEj3ruM1ESWPhKFlESqF3W2Preft/4ipJIetax+12elsh1e92NL6ZQDYWdpwdYlk0yG8MXdlMrNzhaz/XZ8YJJP7FMiK3v7eEJuIiOhxFEgeLRYCjG9HuTXBWuONt3SGh8Koov5MFstcnvFSh37YgTj8Zo1loDVkLdozmx7B6dRq2FrIpOv60RNmnNpfKz/81P89N//ieQle+/6UqSpL537XWg1E6A7roAACAASURBVG/8xm/g8XhIp9MEAgG8Xu9bNeoNxVsy9TmBqn6y7t26rmPbNs3m/Y1CXzf4/X6urq5+IMEZn4REmc023/r1D3n/Xz3nIldCEAUEQcAWRPZtmYYoYEkiQrtD26NBx0JumJh+/WYfYykfrpCbv/jnfxKvS3qlMeh94F8T8F716i3B+uQwDIOt0xK//Kv/nHLdIRYRTed8SJpaLx6NRwcm4pIkkJoMsHV6O1FcTkRY3X2YTD0ai7C1VySY9HB0PlpVmUuG2N4eksy2MGiXW4yH2NgdXWe0MB3lWa4bVR4K3JuCBxCPeMi36iwmI6ysPqzczc1GeXlUYMLj4Th/j1IkQGrMz35XyZoNBtkdsTq+NBfj6R21aDzqI7fTv0gzPhlk52T0wk3YZ5Bxuwf2NfB5M/3pfwtjYbZXbn/2e3WqlknLHP5sURUJzaNwWWmynAyzeYckJqJecheVkWEXU5Mhto6csVhIhNjuqe+an42xMqQpryBAOhngIDeoek1PhNFs4aZZ7jUCfoNas0XzTuJkNOLh4rLWRyjBqaN7eaf3VCYdwO/R2F3N06g7zybDUDA0hYvzW/IdCrup15p9FtSFpcRNBDpANOaQm2vFyu3R8HpU8sfOOfn8Broi3vSkykyFOTu6oFE3EUSBuaUk6x86Vsj0ZIjKRY1SsYruUhmbDLH51Pnd7JMURxt5auUmobiPQNjFdjc8I/soRblY4ezg3FHIHqWpXdY46RLVcMpPJOFnb+XYSfEDAjEviYkQp3vnnPfcf5OP0niDLmzLZvN7e32R45F0gEg6SOWixuF6ri863R10MfkojWVatBotjjZyNCqD733VUEjPJnD5dERR5MW/X6Uz4p70R73ExsOoLhWz2Wb9W9tDt7tG9t1xDLeO2TK5yF1xOsLampyOIasyh6snRDIhgnEfgiBQKlyR3ylgWxZf/k/e5U//ys8RTr9ePRBFUWRtbY39/X0ODg4oFAoYhkEikSCdTjM2NkYsFvvEScxv8f3BWzL1OcEnJVOapiEIwhu3WuLz+ahUKt9XqfyTkKhqqcZv/d/f5F//g3/fl4qk6DJjSxl2TIGOKGDrMlhg6bKTFGW2Eb0a1688Q5f5Yz/7Hj/zkwt80lK33oh2WZZ/4MlGbyoURcHr9dJsNqlWq+ycXvKX/+Fvocky+dOHG0svJsNsDCFJLkNBj2jkLquIgoAXhUr9YQU5rGiUyg1iYTdFu0WjNfw6Pk5HWRlSEyNJAuGU94aIKZKIZjIQx34XE9kQuVIV86I1sh6pF4+WkpQvG+wd3U+8wIlKdwU1TvYeTvCcSAfYOi8R9Xd7V404FEOXwZBuiC/Ao1SE9TthCZmkn93z0XVvTzJRttbPHIvhPTVtXpdKQ7RotDqIgkBaNwbuj6W5OM93Rytci9kYVdPkeH04QZyfjbEyQglNxrycXJRZmoyx/qyfvPi8GvV2e2gvtEwqwP4dMiWKAvPpEHbT6guMuDnOhTgv1wZJ8tJCYuDfRVEgGfdxdHyJ26UykQqws5pnKhth/Q7RzowHOdq/wO55DE/PRtm6c83m5mN9JC8zEeJk/4J2N2I+GHIjiVA8de7xQNCFIgkUuoQqmQlwdV6l2iVg849TrD91lCKv3yAQMjjoJgLOPEpyuJ6nUTPxBgyiKT/bXfvh5EKC6lWds8MLBFFg5nGa4tE5512lbHIpidW22O8quZqhMLGY5PL0ivxeEcOrEU2HCETdCAgcrp5Q7CFWsfEQoYSfs8NzCneagntDblIzcQRs2s02O88O6fQogJIikZ6J4fIZXORL5Lv3zfhyGlEU2H16iG3buP0GiWwMWREda+LB7aLKxKMxrHaHg24KozfsIT4RQVIk5xy6+/SGPSSzMTa+s9MXVnEd3a66VGqlOuXzCrGJMOvfHh2bPr6c5hf+6h9j+WufnaXv00BvbVSxWOTo6IjDw0MODw85PT1FlmXeffddfvzHf/wHfahvcQ/ekqnPCT4pmbqeTNdq91ttXjd4PB7q9fr3rVfEx62LKhxd8B/+6fusfHPLeZEJjldcViRsBAqXTfK2REcUQJWwBRFBtBEVCVmRyExHbmw2wYCLX/6lH2O5m/D0aeM62eiaXN0lWK9Tb47XAaIo4vU6hc7lcrmPaB+dX/H3//X3+L2X9/dvkkURwxKGpqYBRIIuKopF0K1xePhwkMVYxEfu8HbiOzcT4UVuuKIUVTQuhtRTAKRiPo4aVdoda6SCNexYozHPvTa8XiRCHkyzcy8B6cWXFlK8v/Jq76eF+QSKIPL8xf3bL87GeNZV4dy6gnBl0moNLpjMzERYOxgcA7euIF61aTY7LMxEef5A8+DlmThP909ZzETYejk4Ti7DqY2qNobXOiqyRDbiZ2tn+PUI+g2umq2RfaneXUqx8vSYzpDfL87HeTGivm9+Jsrqdrf2SBBYGAuzuZInHHJRKjduSMo1JEkgEvGSu2PPkmWJSMRD7k6D2GTcR8CrcrRVpNaT0pedibC92T+mi0sJVp/3k8GFpQSrL27VKEWRiMU8HPc0/Z2Zj7G5kr8h15GYh1atRbn7HQiE3GiSyGm3fi+W9GM2mlwUnBrCqfkYJ9tOdLooCsw+SrL2XSfmOxTz4HapHHStsNklpyaqVKggSSIzT9IcrOeolZtIssj0ozT53TNKhQqGW2N8IQ4W2JbzfG3WTbBtJFli5/khVnd8dbfK+HyCWrnB4Z0Y+cRUBH/Uy9lBAW/Qg6rJHKzlqJcb3WTABKIocLyRH6iPUjSZ+a9k6ZhtWo0WxxunQ+PGAQIxHxOP0mDb7D0/5PKepNJgwk9mMYnZ7FA6u+JkM481JInF6SuV5XDtGH/Uhzfkpm12ODsoUuoSXs2l8rP/9U/x03/uJ5DV1zdHrbc26vLycuS8odlsUqlUCIfD3+cjfIuPgrdk6nOC60LIjwtZltE0jWr1/tSq1w1ut5tms/mZqycfl0Ttrxzz67/62/zer33YN3EZX0qhulRKpxU6HoNLSaUtigiCTUeR8XoUQskAx8eXKKpER5Wo1lq8+yjNf/lnfz8Bv/Fpnt6D6CVYvb05ei2Cn0eC5Xa70TSNcrk8MuQjf1HhL/6D37xpjDoM2XiA/f37lZlMyo83YPBs42E73JOJKC/vkJn5hRjP79RPjYW95B4gZ9cx5qMUrGH48lyKb6+/2jvk8USMdqPDygiy1wtBgDG3l5Zsc3rxsNoXDbkRLTgt3v9ckySBQNRN/rLK4/Eoay+Hj3E05OasPtjI9vFElLVuCIQgCESTXo7vsVZqqozqUXC3Rc7Ohp/HferUo8koVrXD+ojaqJu/H2LZ01SJcb+Xo1ypr0bpGooi4fapnF8OTqIDPoNay6RldljMRNjoGafFhTgrQ1SozFiQg6OLAWEwMxbg4KgnNCHuQ2l38Ht0Vl72kySPV0NAoNxjZRMEgfFMkP3dW3VOkgTSY0H2e6yo/oABHbsvXXBhOcHq01sSkkj5KV9UqXV7MsUSPjRZxLJsVFXG49Wx2xaWbSMAmi7TqrfodCywQdOcn23bAgRUVcKsm9g4ipskC87P3XeIbihcFcs0aybNeovYWJDD9VMq3WdEJB0gGPOy/fTgpm7JF3aTykbJ7RS47HE1hJN+omNBTneLNKoNktMxBGyONvIE4j58IXc3oKL/e35TR+UzqJUaeIMudl8cUL2s9W2TmonhCbi5KlY43nSS+qbeyWA2TA57WiREMiHCyQCddoeT7VOqF1VkVWL6vUmO1k76kgdvQio8GrWrOscbecaX0pTOyhQOh6utwYSf3/ez7/FHfuknCCUDQ7d5XeD1etE07W1t1A8R3pKpzwk+KZmSJAnDMKhUHp6gvE74rFMIP66lb+Wbm/zer3/I0cbpjQ3PBnS3xuVpmatChavzKtpUgoaiYsoSLkOi2gGvTyMzFeZFd4V16d0MKxs5fv5n3+Vn/sjyaxNhP6z5oWVZfQrWD2tSka7ruFwu6vV6X5TuKJyVavylf/CbHBWHT7CfjEd5eU9wwTW+MJfk/d3cQPPTu5gK+ji4k4ynyCKhtIfDnmN4konycv3+zxVEgfS4n6vzBqXKwxMDXZWRqh1CKe8rxcFPeL0c566YnA2zcTQ69QtgMh7gaPuCmekIqycPk69sMohblnl+T6DDNWYmI6zmiqR1F2eF0c/BhblYXwNcWRIJWjKlHnVveiLMWv7+c/niQooPPhytWCqyiDugc35HGfC6VMRyh3rNZCwTZH9EHZdLVxBUkfKdePzliQjrL/KOBW8EOZ6bHl2XtzQXR+jYrN2xCCqKhM+nUzwfJK5Li0lerA6GkSzOx1nfOmMhG2Xj2YnTM0kUSCT9HB/1n1d2OsL2neAVf8DAMi0q5duaH69PRxSg1EMG02MBTk9KtHtqfpYfp6hXmqiqjN2xECyL0kWNYv6KdquDL2Cgawpn3Zoql0cjFHZx2D0GX8BFMOJmr5s4GEn4UFWJ466DIDEewm53yHfrBlPZCJbZJtcletF0AI9PZ+e5cw+ousLUcuomQh1wmvxORzlYPblRkURJZHI55djq1nIkp6J4/DqVyxqCIKC7VfZfHtOo9tdBpWZi+EJuTveLnJ+UkBSR6cfjdNoW2x/uExkLEk4FqJZqHK7lnICjHgiiwPyXs847sWNxul/s6/HUC1EWWf7qLB2z7QRMbJ1SHaFwpWbiyKpMx+zgCblp1VvkdwpUS7fka2I5zS/+z3+ChR+ZHrqP1wXXalSr1aJUKv1Aarnf4rPBWzL1OcF1gszHhSiKuN1uyuX7439fN3wWKYSCIGBZ1kcmApZl8Z3feM6v/b1/w86z26heT9BNZilFo9JEViQUzZnkbOQatCUJS5WZWYixulnAZSiMTYVY605w02MBTBH+q//ix5jJRj61c/yscE2wrv+7TjXqVbD+f/bePEa2/L7u+9yt9n3fu7t677fNQg5HESWG5JCyNlISZSFxZEECAi22aCiSAEsx4hBGnDiII8CBEohRTBkIZFuxM5QSiSYtcsyIUkhGJN/M21/ve1d17ft+b/6opau6qvq94ZvlDV8fYECw3+2qe2/drvs795zvOe9lgiXLMlarlXa7TblcflM3y0yxym/9i9c4TI8vQGI2K8ePIB42s55Kvs7qsp83JvQoDbYz6anlGhP3zesyk6NJrTc/NWu3cTghVOA8FqNu9k8LIwmF07Aa9bD5IEXQb+WoWrkwmt3nMJM76hIXt9NEVm1OVEv6GC7qnVlwsTWlpLaP6zE/eztpMMsUK48O17mxFuT2rYvvfVaznoZ0VmS7FvWwOcGqF511spOYTHREUSCkN9ERtKndT9AN9Dhf9Hs16mW9pwhFww72ktM/v9VF30iK5GLMzW5vX/V6GYNZIT/F4hmNOtib0Fl1bd5P6rhIeoLaF59zsz0hoMRs0iHKIsVzISwBvxWHQWHz/uj58/msZLOVMdvgymqAB/dHSdxc3MPu1miUdiTq5OQoR2fISnbteohWvU2n2SZ1XKBcqBNf9LI19HrRuIfEYZZWby7QYjNgtRhI9AiRopOIzrnZ7j3okhWJuRU/G28cDv7/0vUw93rJrIpOYuFqmAff2UPraIiSwOL1CLv3jgalvLFlP61qg5PeeZtEqhS9zNyVEPl0EaNJj8Goo1apUyvVcQbsHK8nKA2RWEUvE1vtEq7de0cDeyBAaN6HK2BHkiSONxMTY8vNdiPBBR9oGqn9LIE5N6f7WbLnrgdvzI0raKdVb3O0maBRbbL4wiy5RG5kdksQBPxzHhxeG61Gi8R2CsWo4Im42PzW7th3lSAIeGMugvN+3vfD1/nQf/ryE61v3m4IgoDFYkGv15PP599zQV6XeDQuydQzgiclU4IgYLPZKBQevbB6mvBWpxB+N0pUq9HmG3/6Oje/co9SroJAl4zpDDo6HZXD3k3RFbQTWQ6SytfINsHiNtORJfxBO3cfnhLwW/F4LdwaipP+kR+/xqc+cR2T8clm4t5NiKI4omANE6zH6eV4GiAIAlarFVEUKZVK37WlMVuq8ff/4CsjhMppMVDKPFrdWpvx8LA/7L7iG1tkD7aLeljfmE62luY93E1mcJp77/sYfPDajA9N0y4s8+1jNeBms/f0fnW1Oxs09XVjPh4MBQSsrE7vfZIlEUtHotK3YnnMnDbqtDuTrx2zQUErtGi1VNbWgtzaebQ98sX5AK+vnzxS+Vtb9nO7Z8GLmS0kEuNEOBywsZ8v0jWGnfv9GS+bd5IsxD08PJyusImCgD9oHXRchbxW0jtFhndwYcHD+pSERUkUcHktJDNlrGY9SrVDaUjFWV6cHHkOEArYOE4VR1IBV+a8bN1KMBd3s703WXlbWPAMPv9hLC54RzqmFuY8JHcy+P02difMfk0iTooi4XKZSZ5TRCbNTy2v+qlVmpj0MsmDPIVMhZVrIR7eOlMDZUUiFHWwPxT3P7Pg5Wg3PVCxjGYdbreZo53u8QqiwNKVIA9vHgx+Z+lGmM1bR4NQhfhagMRummrvXMcW/TQqDZI94mJ3W/AGbWy+0X0NQYD56xHSR1nyyRKg4Y24CMSctJtddSefLJJNFpldC9FpdwZhFQCSLDF7pRelfvd45PqwOLrpfZqqktxNj5En/6wHp8/WC584+9zsPivBOQ+HD05wBu2YbUayJ70OqPMQYPF9c6itDopBppyrcLyRHAmZ6MNkMxK7EqZwWsTmsdJutElsnw6II3RDMT72Cz/AT/36D2OyvbOW9jeLSzXq2cAlmXpG8KRkCp6OzqY3i7cyhfDNzkXVynVe+5ff4Et/8DXyp2eK3syVMBaXmUa1hayX0Zt0tJoqrXYbjAbKmti1U9RaVCoNio024aCdzGmZuqBRKtcxGhR+4ee/jx/44NNta/hu0SdYw70c50uGn5abkslkwmAwUKlU3hLSfp5QXY16efAYs0grYTcbvcWOLIv4ovaJBa2rwbPtpr7Wig9NgAePsPj1ETCaSGcqzCy52Tyebl/TKxJyVR2ENyiKiNVvIjlFfYmYLSSH/nYkScARtJDIjtvsliJudh6OHte162Fubk6+V10dmn0SBAFf1MZRarry7rIZqSarzC96uf8IW6CiiJgcBlwWA/sPp5OhxUUv98+RXkkU8CkGMr1Ag+iMk90LItfnoi62kt2n/AsuO/t7o2qcx2UmU6mNqDDDmJ/p2idXQi621kePSxC66vd5S2gfK0s+7m11r5G5iJPj9exggTy/6GVze/w6cziMNBptahPCM+bnPWztpFlb8PHw1vGAyC+v+Hl4LrFPECA262bvHNHy+a3kc1WazeFOKoHZGRe72xlcbjN+r4XEXoZA0M7D26P2wqW1ABtDIRUGo4LTbeZkqPtqdtHL4c4ZodIbFQJBO/tDDymWr4d4+PrhIHY8Mu+hkC5T6s0GOTxmLDYDhz37rqKTmb8S5OHNfbTeZ7X6wgzNehNZFhBFkXarjU4vcbyZItcjjH1VKrmXHrnP+Gfd2F1mtm8fjvZBBWz4oy5KmRIWh4n8aZFE7/vAE3bij7lJHWU53Ru/bj1hJ6F5H2gqd/5yfUTR6sPht+GLeWg1WhxvJYkuB8kni2MkzWDRE1rwo+hlcok8uZM888/Psn/vaCzUoqtEuXEG7HijLj7x6Y8TnPeNvffThEs16tnCRWRK+sxnPvOZaf/4XrN7PesQBOGJyZTBYHjPDUtKktS9CT1BAMWbtfSVchVe+8Ov83//3n/gZDOFxWHCGbATWQkhG/UcbaXIp0q4Ag50Rj1tVUPvNKNz25HsZlRA1EnsbKSw+yx4XRbW754QXvBwnCiwuODlt3/rh1hbDXzXx/S0Q9O0gT2zXq9Tq9Vot9sIgoBOp8NsNmMymdDpdIMejneaXOl0Oux2O+12m2Kx+JYFbBj1Ch9ci/LNh0eUak3cJiPZwsUpmpIoUCs1BiqMqmrQUjHbDFQbZ4tWWRKpFupjHT7nkc9X8dpMpPKPTu8Mui2kE11yozU1JKM0seQWYDHkIn16RpxUVcNrM5GfsNAIuiykTkbvM5oGPruJbG18e5/JRDY3ur+FfBWLXT8x9t2oSSMqjNtmIledvuBZCrlJJUrdoAGJqYpX/7hmg3a0hkp+QlDD2YYaTU0dKT9ejXk52j0jRDaznmK1DhMULIB8scZCzI3XaWJvY3wBXK21WF3wkZpCWHOFGi+shsaUm8H7WwyUKpPfv1ZrodNJOB1GikdlWsOR6Rp0NG2MxNXrbRYXvBNtgLIkEvVZ2Ti3L+VyA7vdSK02SsAEugW3rSHrZ6XSZGHRNyCjfXi9FgJeC4ebKTInBRq1Fvlsleicm8LQdZPPVYnF3RR6PVXtdjdEwu40Uu31LeWzVWLzXsrFGqqq0WmrVMoN5pZ85HqBIZlkifhqN/K801Yp5qoYzTo8QRulXJV6tYWqaizfiGCxG/D4rdBRcfmsuH0Wytkyid00xXQJd9DO7r0jTvezpA7z3fmkF2YpZks0620yJwXarQ4Lz8cQBIFqqU4lXyNzUsBkMxC/HqGjavgiThxuC+nDLKf7WSxOM3qTjmKmjKZqVEt1UodZKoUa/jkv0eVg7yEizN+I0qy12H59n+ReBqvLwszVCFaXhXK+Mkjfq1ca5FMFPBEXaltDFEVsHiuSLI2EV7SbHXKJArlEntBiAEkSUXQydp8NNG2kFwvAHXbyM7/9Y/zwL34Yq8s8du08TdDpdDidTjqdDtls9rI+5BlAP7F3Ei6Vqe8hSJL0xOVv70Vl6kki3d+spS9/WuQL/9v/w3/4V9+k0RvqlnUyCy/ODlwVoiSiM+ooF+uYHUZ0FiOiSUe9BW0B0qkSJpuJnc0U11+aIXNa4fAgS3zFz9ZBhp/85A1+8iduIElPrz/8nYQkSSMWQUEQBt1XfRXrrSZZkiRhtVpRVfVt7TBLF6v8l//iNXKpMvUJvT7DmAs6xhQJAL/PSrrVGMxALQSd7O5cHHwA3ZAIt15HptOcGsfex7UZH/eHrHiLCx7uTUneWwu62dgcVytW1sbte9djo687jKUVH3eHim3NBgW10KLdHv+slxY83Dse3Z+Qx0pqd0LB7LKXhxMS8CRRwIUyCJFYWfVzZ+di1S7ksaLrCBxcMLME3ZCF/rFLooBPNpA5RzQWF708mFJcCt2IerXeJp2aTJiMRgVRJ1KqjM+O2q0GXIqOw0SeaZfy8pKPB9uT1bi1ZT/pwwKZCe+9uhrg3vr4ZygIAuGwncOhEAmbzYBdkbGa9TyckPoXm3GxP8E6uLDoZXOCbXVx2cfGw1NmZ91ojRaHWxnCMSfJo/zIrJXZosdgUMgMdXkZjApOl4nE4dn+2Z0mJBGyQ+mKM4tejnczAxIpigKLq4Fu19TQNnRUdHoZUezavs0WHRs3D6j3Po9Q3EOj0iDTUwAlSWThRpitN87S+qwOE4E5Nxs3DwY2PavTTHTBx/p3dgfbCaLA/LUIlUKVerWBJ2in3WyT2EkRnPPSbLQ4uD+qxlkcJsKLfgrpIidDVstBml+phsVu4mQnRWFCqITBrCe85EeSRERJ4HgzOYgqH4bDZ8M340btqJxsnRJa8JFLFCYm9HVVKDc6o8L3ffIFPvg3X3qq56LgUo16lnGpTD0jeCuUKb1e/577chBFEVmWHzvNTxCEAYl63EV4+ijHFz/3Nf7s979K/rSE02/HE3USWghQr7c52jilXmvgibrREOhoYHZZUKwm0OvI5moUyg3aLZVas8PJUYGrz0XYeHhKNlPBZNZhchn5tb/3YX7ggwuI4tOR1vc0oN9vdV7BEkURvV6PyWTCZDINZrH64SHfDfo3SpPJRKVSoVarva1qmEmv8PJSiK/d2p/aJ9RHxGOb+KS/UmkyF3CQrTXQgLDTSnpCmtp5zIecHOznmQ+7SJUvntcyIFIqn30vZLNVlue9pIujDzB0ikQ5PdluVirWsToMI8RNrKtUa5OPu15toZjkQRjFSsTLaXJywl4mW2U25iI3lDQ467aTTo+fB62t0ZGEbqT1EJYjbhJHZ4vIQqGG3Wm8kGjO+VxoTZXcI85fudzAaNHRaHW6qtQEUqypGi1NnVpyPOO3Y1EUUlM+23ZbZX7GTSo3/lBpxmtjbyfDypJ/6rXRbLYRZWG8J0oUsEoyMsJYeARALlchGHKMRJb3YTIqVGstNA28HjNyXSV1UiKTrjAX95A/p4oWCjVW1gKkz0XFZ7NVllf8Y0qUxaIn7LOyfeeEYq77GZQKdRZWA2SGXqPV7GCx6kFjoHC12yqiJGK26Kj3giAa9RZGix69XqLeuy4L2SqROTe1SjcG3eEyYzDpiM25MRpl1Eab0/0sWkdFRGXn7gm50xKnh3lmVgLUSnXarQ6lXBVV1Zi/FiZz0p2ryZwUcQXseEJ2CukyzXqLbKJIcNaN02+jmOn+LHWcx+a2EFsN0Gl3iC0FkCSJUraM3W1F66hsv3FAq9EmlyxSTHcLb2dWw5TzFdrNDs16i8xxnnK+RvxahOhKEL1J1y3/Pc5TzJRJH+Vo1lpElgMEF/y0Wx0avdAWo9WAw2dl//4xp3sZvDE3wQUfoiiMdFXVKw0yx3mcfjuiLNFudXAGHBhtRsq5ymgBrwYf/OmX+Nv/6FPMPzfz1KTUTsOlGvVs41KZekbQJxVPApvNRqlUempmVR4HbybS/c0qUcm9DH/6e6/xl5//zqAx3uwwMnMlQq3SRGfUISsSgixRSJdxBuwIsoRsUFBFiWbXPcLJaYlA0E6uWCebrbC2FuLB5umg0+QTP/Mcn/jkDQwG5bs6B5dgpGRYUbrncTii/VE3vn7UebVafcetrolMid/6vT+/sLQ2YDFNXUgDrKz4uXWQwqfXky08ev/XIu5BSMXyFT939iarEh67ifzJ+PsajQqyQyFbOtvn5Yib7YfT1ZW5GSfr6a4SEPPaOJmgHA1jadHL3aPumNIl1wAAIABJREFU6y16nOxOCTyA0TAKRRYxtQSqlclEbXXVz+1zM1EL7vFZpIUFDw+mhEM4rAbqp3XUjsriko8Hj5ixWlnwcf84PVGV6mNtxc/tCb1QVrMeik1EQURQRMrVycmlQi+s4nhIMVie87DV678yGhUknTRCjIexuuwfzEcN9inuZf3WCcGgnZPT4sRgjmjUycFxfmKOyeqKn0KhRjVVoVw8e1+H00S92Rqz9cmyiMdrIXEyqo7o9DIOh5HTZAmLRU8kaGPj9kl3fipbodkYVXaXrwR4eGdUnYnFPRzuZEbKYj1+K/VKk8oQGfT4rTRrLYr5Kh6/FbfXgiQKpA/zpIaUtqXrYTZvHw0IsKxIzC37Bsl+AO5eXPrJ0NzX7GqAXKJAYeg6WLgRIbGdGglhmLvaDZQwGHVoqkbmuFv86g072Hz9YGSeKTjnxe42s/Gd3cG9CkBv1DGzFqJSrGI062k12uzfP+5G0EsisdUgsiKzd++QVn30O1IQBJZfmkOnlznZPCU1oawauvY8T8RJvVxHFCXqlTrHE2ZA9SYd4UU/epOOyFKAT/7aD2H3TF+gPi14J9So+/fv8+qrr6JpGi+//DKvvPLK2DY3b97ki1/8IoIgEAqF+Lmf+7m3fD8uMR2XytQzgrdCmdLpdE/V4P/joD9j86ho9DejRCX30vzJ736ZP/v9r1It1vFGnPhnPfjnvNSrLQ7XT+l0Onhjbjpq9ymnzWsDWUZQZFodaGkCgihQrjXRyRKaIneLbxGodVQy6QpOl4lP/8ZH+Ogrq8jyk1k0n3X0+62azeag+6nT6SBJEgaDAbPZjNFoRJblgR1WVVUURcFutwNQLBbflaeNFpOe962G+atb+xNnf/xO80SVZRjpdIUXVoLsHD7apitLIrVCg1ZvMZbP1QgGbRQnzBPNB5wT37vdVgm6LOSGiKffbCKbnW63zRfq3dmeQpWY2/bIY8pkqyzEvYiiQOLgYuJVqbZYnfdxWqiwHHaTPJ5+/8rna7jc5oEaGHBbSOyNv342W2Um5iI/QXVZDDlJ95Qyta2iiuOzQyPHkqvw/qtRtjank65isY7FOj7/tRhykTwu0mp1mJ9zk56gPvXhspvI9xQ6m0VP5bQ6osbMzbim/n42VyXotw6sgstxL5u9YttyucHKamDiZ1Ys1llZ8U9UTs1GHUpTJX06+rCrXm8Rn/eOEUtV1TBb9DTqrRGVrtNRsVoNRMJ2Sqdlkvt50OjOMS36yJ7br3y2SnR2dFaqkKuysBYgO7Qv1UoTt99Ku9mh3VaRJBGPz4rXZ8YgSyR3s2ROiqSPC9hdpq6C2FMrM8kSMyt+apUGnXZXVcyelll+PkrutPtQslZuUK+2WLwRGVj88ukyoiwxtxok20uBzCaLGKx65q+Fcfms2JwmTvez5JJd9ep4+5RCutxVfk4KOHw2YisB8qclNFWjnK+SPs5jc1tZeC5GtVhFVVVm1kJIosjx5ik6vYLZbqKUK9NudtA0jfxpiWyigKJXiN+IYnObKWTKzF2NYHNb2PrOHsndDNVincC8j8hyEEkWR2ajaqU6NreFRq1FcjeNK+jAF3PTaXdGuq7Utsri+2b52c/8JN//qfdjMOnHrpenDX01qt1uv21qlKqqfPazn+WXf/mXeeWVV3j11VeZn5/HYrEMtkmlUrz66qt8+tOf5sMf/jDxeBy9/uk/f99LuEiZuiRT32N40pkpnU73tsygvN24yJ74ZsIlknsZ/tV/+6f8wX/1eTZv7lNMV2jW29i8NjKJIpIs4fTb8c16KGSrGC16kGRkndJTpHS0OhqCXiGXrWC0GTnYyhKKe5Ekge0HScK94skP/seL/MZvf5xozPVWnopLDKFPsBqNxoBgaVp3YNpoNGKz2TAYDAP1StO0d+3at5n1vLAU5C9v7Y31LMUDTlJT1Ixh+CxGTCbdYDE9DXNBx8jiVlM19KKIKgu0ztnfLKJMYQKZACgU6qwt+DktVNBfYPEbRrXcwOIwUM7WaTxiVgtARiDotpCaMis0jGKxht1pQt8RyBemq3yqqhH0WMlUusc157GPWcj6MCkylVZrRJEx6GQqqdog6a3eaLMc917YFyWJAg6d7kJ1sdPRmAk7SQ+FkQQ8Vo62MoPUu2y2SiBgozxhNgqgUKyzFPeSyVeZ9TtInlN4stkKkYhzomVP08BpN1Is1wn57SS3syMqTrlUx2Y3jalJ3X9rYLUZqA+pG7GIg8xeHoNeoVJpjKlamXSF+UUvuXMEvFJusLjsJzNUnOxwGLEbdcgqJI5GiW82XWH5anBkJqprD1axOYzUhs5VNlVm5VqIdPJsfVMu1lm5FsLtNlHLVUgf5UkdF9AbdUiSQLN3TOVCHbvLjE4vDayB+XQFb9COLIsDa2AmWSKy4EPtqDR7pDCTKDJ3JUir0abVaNNudmg12qy+OIPHb0VRRHInBU73s+gMCmpH69oB1e7/SpLEwnNRStkKnbY6IFV2j5WZtSDFTBm1o9JutTH1LHnukINiqsTevWM67Q6lbIX0UQ5ZkVl+cQ6zzUS+123XaXWoleq4g050OhmT1Uij2qSYOTun5VyV9FGOSqGGJ+oiuhrCE3Gi08vs3zvu7lurGzqROcpRrzTwz3qIrgSZvR7ll37nb/E3/vMPYXE+3eEScFYVYzKZyOVy39VM9uNid3eX4+NjPvShDyGKItVqldPTU+bnz5J8v/KVr7C6uko8Hge4JFLvAi7J1DMCQRCemEwpikKn03nqO3/Ow2AwjJGpN2PpSx1m+df/3Z/xr//JFyjlK3ijLgJzHvyzHiSdQnIvS6PexDfrQdW6KV/eiBtkCYPFQLujIeoVisUatVaHfLaMyWpi/W6CKy/ESJ8W2Vk/ZWbRSyZX4+/8Fx/mx3/iBjrdk9kyL/Hmoaoqer0eRVEolUqDgAlZljEajZjNZgwGwyCu/Z0kWA6rkesLAb72xt4IqTHL0wnNMPSaSCFTxWIfTfg7j7DTOqYi1Got5kJO0pUzEuK0GkglLrbP5nNV/H4rfoeZ1OmjCU+7rbIUcrF//Hh9dtVai7DTSiLzaBtvp6MxG3SyNSGu+zxy+RoLcQ/VRovSaXVsVqiPcqXJ6oKP0/zZsa3EPCSPRklKoVDH4TRSnTL7tjLrZf1ugqWFLtGZhky2ytyMh1zP8hmymcllzrbXtG65cX6KVQ+g01aZjTjZmlAkDN0C3WlWwWKxzpWVAKXTCpXS6Hu02yqRkH0sURG634nBgI1cj8RGIw6yu3ka9RalYp3l1SDp9Phn2Gp0MBiVMWKdSZeJL3jIZassLngpnRRJnRTJpMosrY3ORAHkM1Wicy4KubPrt9XsYLF1ewjbQw8o0qcllq8EqVdbzC/5ENsd9h4ksVoNZHtKD3SJv91lQlZEGrX24Gd6ow670zSwBpaLdXQGBbffRqmX7FjsPWzzhRwUewRaFLrx6cEZN+16k3yqRHI/SylfxRt2kO4V4pbzVcr5KovPxWi3WjRqLdqtTi+5z8jclTD5VAlV1ahXmxSzFZaenyE456FerJPYTpE5zpM5ylMp1IithfCEHORTpW4CY6tD6ihHIV3CF3Uxf2MGf9RN+iBLcidFKVshc5SjmOla12evhNGZlEEpsCAKhOa9FNMl9u4cdWPpr0awe62U89UR+6F/1sNP/frf4BN/9xWcAfvEa+5pQ1+NarVaZLPZtyzFdRr29vaoVCpcvXoVgGw2SzKZZG1tbbDN1772NQRB4Itf/CJf//rXcTgceL3et3W/LjGKSzL1DOGtIFP9yOr3EoxGI/V6/U2HS2QTBf6P/+GL/Jv/8Uts3zqgVm6gtlXcYRe795M06i0sTjPeGTfNRofToxwOv51atYWqQaOlIogSqVQFq8vM9maKUMxFvtAklShw9cUY924fUczXsDmN3Hh5lk//xkeJzVyqUe8G9Hr9xKjzfoFwX8HqE/P+PN4wweoPSb9dBMttM7E26+Uv3tijo2pYjLqude4Rb+eyG0knyzRbHRxGHS1RmxjtLQjQrrYnqkK5XJW1RR+nPWVkIeicmh7Xh6qCRa/DoMgTF9mT4LEY8brMjxXLPht0sLOeIhC0U6o8elYhYDfhtBrJPCJqHoCOxkzISeJ4PL1sGJVyA4NFR6PZQRIFqLSp10bPn6pqhH02MqVxRUwUBaRGh2q1RaetgiRcGLtu1suU600WYh52H47bAguFOssXkDJREAhYjZymJhPQcrkxNYxCEMBjMVDI1WhOsJxms1UWF30T7Zz5fI2VZR96g0L+oBtN3kcuWyUQslM+R9CazQ7hsIPchGPRNI35OQ8brx+NRKOXCjU8AdsI2dO0bny52WoYKETQJT/hmItSoTZQxjx+KyaDjNWksPHG0VkceqbC3LKfQq4y2LZabmC2GdEbFeo9AtqotdAAf9RJsXceGvVW17q4EiDbm1lTFAmnz0p0zk2jUieXKJI6zJPczxJd8lPMVnpqUodMokhk0Y/eqBt0MGUTRRBEFm9EyadLqB2tGyRxUuiSoGsRnB4r+dMCiZ00yb0MCAILz8do1ls0at39LaTL5JJFHD4rs1fDNOpNNFUjfiOC2lbZ/M4uqaMskeUAnoiTUm+/AOrlBumjHKVsBV/MzdKLs1hdZja+tTOw+jVr3XCLfLKIJIvMXI0Qfz7Gz/z9H+M/+4efxDfjGftsn0b01Sij0Ug+n39b1ahhJBIJ0un0gEwdHx9TKBRGyNS3vvUtarUav/iLv8jy8jKf+9zneOmllwbzwZd4+3FJpp4hPCmZ6v/+e41M9ZWpx7UolrIVXv1nf87/+pt/xNbr+4hSt0Q3uhrCEXD0fO5di0Kj3kKSRFxBB8gyBpMOxaRHEEX0FgOqqmHzWMhlq/hDThLJMmaLHn/Qxs52N1I3GHHwS7/+ET7yQ2sousvZqHcasixjs9kQRZFisfhYyY/9AuHzBEtRlMEMll6vH/ScvZUKls9pZiHs4i9v7RMPOibOopxHPOQazLNUKk1mgw5y1cYYB5sJ2AezPpOQz9YIhe0UKg2s8llU+EXotFX8VtOIejMNiixSzdUo5GtYbIZHxrKH3RbSpxXsZj2lZmtiAEIfoijQLja7i2NFnKo29VGvt4k4LCQnKCbDaLdVZsNO0sUqyzEPJ/uTVbVcvsb8jJvsuSCRlVkvh71eqUajzdK8d2onFECp3GB1wU85W6UyRYFSOxpITDzGpaibjbsJ/BfYAcvlBmaLjsa54Ia1RR/rt46ZmXGSmTL/1m51kBVphOD0YTbp0MpN8tnRc6BpGmazjkajPZZYmM9Ve/NYZ5+D223GCKiNNuVifeRz73S0XliPNrBaQpeYOVwmms32iN20kKuyuBpAViSCARtHm2kyJ0WK+Vq3g2roOHPpCvHVAIXMGaGqVZoYTDosNsOAeLWaHarlJnOrAXI98qR2VPQmHQurAQRUssd5skdd8hSc9dBstM7mrRJFXD4bTr+VUu/9i9kqjXqLpRdmKGa65KnT6pA+KWD3WIgt+XEFrFhtBhLbKU62U6iaRjDuJd8LB2m3OqSP83Q6KvPPx1AUaZC2V680ESURX8SJzW2mUWty+DAx+Hzyp0WyiQI6k474jShmu4lCpozeqGPxhRiFVJHdO4dkjnO4Q07i12MYrXoK6bO1ojfq4sd+5aN86jd/mPDie6cncViNyuVy7+gaqFarcefOHd7//vcDcO/ePQwGw4jNb2tri6WlJaLRKCaTibt37xKNRgfzvpd4+3FJpp4hvBVkqt/j816CpmkYjcZByWtfQThv86tXGvy7f/4X/Nnv/wWJnRSKTkZVNSLLAXKpMocbp1SLNew+G56Ii3yqTLVSxxNxUy03UHQyikFHqVDD7DKTPilidllQOxqFbBVVFHG6jKSTRRodjXqtxSf/kxf55d/8KP7g5ZfeOw1BELBarYO0xydN6TtPsPqhJ4qiDCLa+wSrr5J+twQr5LES9dq5v50i+xgKjlWnUBhK8cvlaqwtnKlMfUQfEfygaRqKJmB3mjg5vFix6WMh6mL9QZK5WffAnnbRtqlEuWsZCzrJlKYfm06RqGRqtNsqpVKD1SX/hXNJC1E3yaMCjUabxbjnkcrXXNjJ9oM0voB1qu2tj2y2SizmpF1qjRQBn4csiDTVzoAwdFUplerQ6+dyVbxeC5Xa9Pf0O81kUmWaU/rH6vUWi/FxUjYXdbNzL4GmgstholieXMbbbqtEw86RaysadnDwIImmQTZTYWHRN1FtbDTazM25x8iW222mka1gsxnJ58avg0q5wdJKYKLdr5Cv4fNbKZcbzM25KR0XyKcrFPM1lq8GxwIsatUm0Vk3+XP7UC41mF3wkht6AOHymDHqFEx6iY1bJwOVV1U1GvUWvpCd8tCMXS5VJr42SqjqtRaSLOHyWSj3/s5UVSOfqXDt/TM43SY6jSbpwxyJ/SyegJ1GtTnohsqnyphtRrwRB8XevlXLDcqFGssvxChkyqgdbTAj5fDaCMy4kWWR6KIPtdVh994xJrMeSZTIJrqEvlZukD0pdEvjl/zkU12boqpqZE8KVIp15p+LEox7Bql86aMc2ZMChVQZT9hBbDVMo9ak2VP02s0OmeM8qqqy+PwMDp+NQrI40hVVK9VJHWQopErYPVae/8gVPvVrP8qv/k8/z/yNmUEY1tM+f/1uqVHDsNlsfOlLX+Lq1avodDo+//nP87GPfWxk8S6KInfv3uX69euUy2W+/OUv88orr6DT6d7x/X1WcRmN/gzhSf+wdDodkiRRq128IHpaMMnOJ4rioMi3X/JarzX4wue+yv/5z740MlAbfy6G3qRHVTXUjopKdyZh78EJ0SU/FreV/YdJdEYdvpiL3QdJQnEP9UaH5GGetQ/MsXHnBEkRmVkNsLeepFptEox7cbrN/O1f+iD+0CWJejdgNBoxGo3veNR5//rrR7SLokin0xmJaX8zC4wvf3OT//mPvnGhImMx6ajnm6MdLj0srvm5NxR77jPoyU5Y6J7Hc2shXn94cuH79rEUdrG9lcZmM9DSCRfa8ZbD7pFEu6U1P/d2Jifcrcx6RuZ+FJ2IxWvmdEqIw1LAyc5Wb15KEAjOOjhITJ/NWg672V5PEY052UsVHnmsK/Pd8thpXVB9rK74udOLOF+Z87J5JzG2zUzMxU5icvKiXidhUUUCfiv3d6bPf4migD9oG0ShS5KI32zgdMi2eOV6mNvnClyHMb/gYXMng9mkw9SB3NC5dTpNVJvtkVCJYcTnvWz19s9mM2DoqGR7ttCltQAPJxQyCwLE5tzs7Y7H3Pv8VtwuE+uvH45cy4IAc4s+ticU965cC/Hg9vhaZeVqkN2tNDOzbrZuH9HpKVhL14Ks3x49H2arHotNz+nh6LUyvxpg52FiJITDYNLhDdioV5q4vGaSexnyqRJLNyJs3j4c2dYdsCHLIsmhSH9REli8EWXj5v7IdeQJ2TEadRxsnhKIObG7zeQSBcw2I4V0kcy5GcO5KyGqpTrJ3dG4cqfPijfqYvvWAb6oC4vNwP79E+qVBt6IE2fAzu6dAxrVUXVekkVmr4TRNI1SroLTZ2On113Vhzfqwh1ykDnOkeoVX7vDTj7xq6/wA3/zpW5NiCCMfP9JkoSmaYN6ilar9dQ4X/R6PVarlVqt9q5Xwty7d4/Pf/7zqKrKBz7wAT7+8Y/zhS98gVgsxtWrV9E0jT/+4z/mwYMHiKLIxz72MV544YV3bX+fRVwUjX5Jpr7H0CcPT/L7iqK8K09n3gweN1xC0zS+/ed3+ctXv02t1ECSpG4ctkFHKV9l5+4RAEaLnvnnZmi3O7RbHVS1+/TVZDVgtOo53M3g9Fox2c3cv3nA/JUgbVVg+0GC8KwLFInDXo/ICz+4wAdfWeHF75t7W8/BJSZDURSsViuNRoNK5dG2s3cCwwS/H2zRV7n6C4yLbuT/11fv87k/+fbUf1+b9fLwweSwAUkWCcw42E3kifhsJPYeHZ0OEPc7MFr1A1IwDSajQqfUmwUC4vMe1o8n90GZTTo6heaINU2vlzC6jRPjuhd8jrFFdyzmZDs9TnxcdiPlxGgpaCBg46RcHSvoPdu+Oth+6Yqf+1sXd0UtBpwY9DJ3ty4+J4oiYXV157Z8BsNYCe3g9ZZ9PJxAlq7M+1h/o3v/jcZd7F4Qdx8JOzg8LaL1fu/hG6P3bZNJh6Cf3i3VJUwtZgMONu+Ok67l1QAP1icfr91uoNlRUTsaHouBxMFZT5feIGO2GiamJNodRtodlcqQBVEUBZYWPGjNDhv3x8mn0azDaNYNyFofggDxJR9bD0f3cXHVjwLc/87hyM9FUWB2ycf2g1GiZ7UbMBgV0ufSD+MrfvY2Tum0VRS9zOyil3qxjk4nsnVn9FzHlnykj/NUh5RLRS8zu+Rn4/WDkW3DcQ/1aoNM7/38MScOtxlRFNi5fUh96NwoOpml52Ns3NwdmUMTRIH56xFyiSKZXniF2WYksuijUqhisRvZu3tE7dxnb7DomVkNdUnRwdnfV3Q5gKKXyRzlCcY95BJFkruTyfzyS3N8/0+9yAd/6n3IjwhSmkaw+t997Xb7HXXD9B0LiqKQz+cfWatyiUvAJZl6pvCkZOrNFOC+0+jb9h43oe/+N7f4o//+37Fz++xm6vBa8c562b13jC/qwuoyY7aZ2N9Ikj7OYzDrWP3APJVSncOtFDNroa6VI13B4jYjiiLNepsOItVqA4/PTLne5mg3i8Go8ImffYmP/cT1y5S+dwGiKA5k+FKp9NQnUkqSNLLAEARhQLD6C4zhr+c//MLr/Js/vzPxtRaDLrZ3JhdqAljMOkS7Qshp5f6Ehep5OKwGypk6ggDhuIudo9zUbdfmvKyfUyCW1/zcnaA2XVsIcH+CihCLOdlNF1GHjtdtN1JMVCYGbyxdCXD3HMm7OucbK2kFWLka4M4E8tPd/uxcmEwKgkmmOIV0BL1WUrt5dDoJk9P4SOvl3IwLxSCzMUGV6sNq1dMSGEkAtFn0qPkGjZ4a5PNZOS1VL4ycX1nxk8pVKZ+UR1Lr+lhcmkza+nj5pTh//RfrE/9NECA652FvSmHy0rKPdq3F3vr45x2JOTk8zE9U/OKLXrZ7KqJOLxP1W9npXUeLVwNs3Bs/b4FwN8K+dc76qNPLuL0WTg7zuL0WLAaF/fVTJEkkOu9h9xwZVHQSwaiT/a3Rc2JzmtDrRNKJ0RGHlRthBE1l715iMDMliAKL18Os39wf2dblt6EoIsmD0b+Zxethdu+djCg9gZgTf8TB8VaK1OHZ9na3GU/Iztato9H9c5nxx1xs3NwbeWggySJXvm+edr3F+l/vjFwDBrOembUQyZ1UN83vHGauhDDbjRRTRQ4ejJ/z4LwPm9vC8XqCUraCO+zgx3/lI/zgz7z0SBJ1EQRBGClal2V5QLCGSdZbjadJjbrEewuXpb3PEERRfCIy9bgFuO80+gmDj/PFd7Kd4p//9r/l3/7Ol1DbHTwRF/45N8EFP3qzgWKmQrVYw2Qz0m6rHG2n8IYdRJcDVCpNdu8nMNuNBOb8bN09ptVsE5r3kzkpUi7V0VuNGE0yp4c5DA4jR7tZPvQjV/h7n/lRrr0vhiQ9WXHyJd48zGYzFouFSqVCtVp9T9wg+wuHZrNJvV6nVqvRbrcRRRG9Xj+YwepbBa8vBckVqmwejJImo14mn65wEXdstjo4zUbqtebUQIJhzEdd3ehpDbSWis6sozEh2Q3AqtNRONfpVMjX8PrG55DMokhxQqBFoVAfm4daCLvG5mT6KBVr2F2mAQkRRQG13JpoR8tnq7h9o/NJiiJRz9RHAhRaLZWZiJPMlH6qqMdGNl2h09EI+a1kHxFVXyzVCdiNpC6YT2s2OyzMjs52zYecIza9SqXJynLgwn6qSqVJyGmeer6ymQrxeQ+5/PixhYJ29u6cEIk6RmbuhqFIIh1Nm6jweR0mhI461hUFUCzUWbkSnKjM5bJVVtYC1GotPFYDB0MWvnJ+PK0PuvNQ8SXvWEFvp6OiKBLzC15OttPkeh1SmqZRqzbxBm2Uh647tdOflXJQGvq8G/UWik7GajdQLTfxRxwEQzY2Xz9Er5epVhqDGSi0bojE8vNRMsmzz6tWadBudZhd9g+CKQCyyRLuoB2n10ww6sRglDnZSpHcy+KNOLp29MpZWmDutMT8jSiCwEBZatRaZBNF/LMePCE7mgZzq0Ha9TZ7d4/JJorMPxdFU7XB77Rb3fmnVrPN/HMxDGY9pWylG5TxXJTMcZ79e8doGsSvR9G07jzU4JznujHpDp+Nn/2vP8kv/OOfZv75GcS34D43KUVVVVVEUbywaP27wdMwG3WJ9zYuZ6aeIfQtRN8t+vJ3sfh4g+fvBB435rycr/Inv/sV7v7VBpVivVdu2GHhhRnSiSL53o3N4jQyfyNGo96ikCpTylcJLvjJJov4wg5kg46NO8fIOpm51QCHO1nymQqeoINw3Mv9m/u02h3i18I43GY+9QsvE7os3n1XYDAYMJlMg0Le70X0n9r27TH/zWf/PV/+xpmKsDLjYWNCfPZ5hPw2zIrM5kluRAGahFmvncMha1k05mQvU6RzblbIYTVQTteYJD0EAjZOq7VBAbHHaSJ/PF3xlmURZ9DKSbqEIIBXb5i4QO8jNuNkuzfntBhzs3t/uvUuGnWwlykNjnttzsvGnfF5HoDZJQ9b+6MqjMNmoHpaG8RFAyws+1ifYoECuiW+O1maUrcraxoEAcIzTvaPC/g9FnL7hbHZN0URsXrMU4ubl+a9iNU2G7vT1Umn00Sl1aY+pIwoioTPrCd5WMDttVCs1KcGXqxdDXP33OzVldUAD751gNmiR9KJFCeQMVEUCEadHO6Pq5sutxmvw8jGBEXR47NSqdapVcfP3cq1EA+GfsfhMmE362k3WqQSRVrnEgqtDiOKIpE9R+qYihaRAAAgAElEQVS6s1JGkkejNsq5ZR8mg8S9b+6OKKP+qJNapU7xXFJhfC3A4dbpoNy3j+Xno6y/foCmakQXvOh1EkdbKaKLPta/vTeyrcGkI7bsZ/3mwcjfk6KXmb8aZuv2Aa1GB1ESmF0Jora7fZCteovjc/ZUSRaJX4+QTxRJHZ67ln1WIos+mvU2G9/eGZnxgu4aILoSRG9U2L1ziNNv48d+5SNdO5/y7iTRDitY/Sjw8xbBi9YIl2rUJd4KXNr8niFIkvTEiX52u51C4fEKNd9OPC6Jarc6vPaHX+ePf/crgwhYAP+cG6ffSbPRRmeQaTXaGMx6DrdSgzSl+eci6C0G8qclUkcFZq9HqJWbGEwKsl5h814Cm9NEeNbN3naGYm+u46M//QKvfPJ5Vm/E3vT8yyWeHLIsY7VaabfblMvlZ+p8tzsq/+Rzf8G37nXtq1dm/Dx4+Gjr3pV5Hw/uJrq2twvmoFx2I8XUeK/V8lqAOzujv3cl7uPhBDvW4HdW/dzd7S70rs75eHDBttAlYIlylVjAzsHGdGLQx9IVP3e3U6PBE9P2ZcgaGLVZSJxMfmDkcBipaJ0R0nEl7uXh7dF9t1kNNEVtYkmvKAr4jHrSyTJLK37uTwnY6MPfs/LNB5zsPJz82cRmXOye5NDOJfMZjQrGpkapUCe+4mPzgvOwshbg3sbZ668teFl//ew+v3wlwIOHk0kmwOyCh52d7uJ8ccHL9q3jwXUyv+xnazPJpORAp9tMrd4aIUZOlwmp1UZQoVptTiRN8WUf2xvj50MQBWYXvOxspJhf8pHYSlEtd1Wd+Iqf7YfJsevX5bPQanYGpbp9WGwGjGY9qZMCHr8Vh8PA1u0jrHYjJrN+zK7n9FqQFYnUuUCIQMxJvdogP0TYjGYdS9fD5BIF9s+d19m1IJnj/KAId/Dz1SDlfHVQ4NtHdMmPw21m987RSIiSIAjEr0copksjVsH+eYpfi1ArVtEAk0XPzq2DwXyj3WslGPdytJEYxLP34Z/18BOffoWXf+wGkvz01XmctwgKgkCpVOK1114jHA4TCoUwGo3YbDZkWSaXyz1WJcYlLjENl2TqGcJbQaYcDgf5/OMNqb8deFwSBXDnrzZ47Q+/QSlX6Vp9epGwOqOO9W/vDbzjTr8NZ8BB6iiPf8aFzqCgavDwO12/uzfqJDDrJbGfJXWc58rLixTzVfRGqatylVuUi3Wuf2CWT/z8yyxcCY7shyRJgy/3/vzLsPf78kv8rYEoilgsFkRRpFQqPTWpUO80Gs02n/m9r7B9lEOodWi1Hm198VuMg0j0xSvTF/hX5308uDd5QT237GV9/4zkRJ0WTqaQkj7iy142DjL4jAYymUdba1bWAqhtlY0ppGIYOp2Ef8bJwXp6ojp2fluTx4jFqONoY/L8Tx/Lq2cJgyaDgliZnGi3vOzj/gR1ajnuZevWmXISnXezezh97gzguRthbv/1wYXbLK0FuL85el7W5r1svNF9L6vNQFuAypSYd0GAWNzDzn6WuRkXB/dGSYcgQCTuZn/KfJTdYaTV0bDbjWQP8iPzPwCr10PcnxBiAV0lb6M3V+X2WKDaIN+7HuMr/rEAiT5Wrod4cGd8LWK26pmf93L7G7tj/7Z8PcTDW+O/4484KOaq1M5ZXX1hOz6fhft/vTeiPposehweM8fbo8TeZNXj8lk5PEdcrQ4jDreJWi/pb/fOMc16C5vLhMNjZX999O/KYjfiizrZvjUakiHrJOavRdh8Y5/IvA9RgN17x6gdlehygHajzcn26N+vKInMX4+QTRQGYRQIEL8aplVvIYoCgsDIDHEfkiIxdzVMs94Nkvnxv/MRXv7RG2+Jle+dRKfT4Y033uDw8JCDgwPq9Tper5dAIEAkEiESiWA2m9/t3bzEexSXZOoZwnuZTD1uQh9AYjfNv/zHf8obX30w8vPFF2dJ7GcpZSvIioQ36sQVdNJuq+QSBVJHeaIrgW4JpKrhi7kwmPU8fP2QRq2FrJN47geWSRxmOdxKEYp7KRYbrL0Y40f+1vuYXfY/9vEM27P6T86GydV7rcvr3YbJZMJgMFCpVAYFus8yyrUmn/2jb/L/fnP3kdtGQw6Ot88WyLIi4p9xsHc8/ncedVmnEiSDUcboMnKarRBwW0gfPdoObDIqROZcrE8haOdhNin43RZ2JtjCJuG5KyHeuHP8WA9gYjNOFFlie+NiFQsBInEXe0f5bkLerenR4rMLbraH1IthVaoPj8dCtl6fSnoFAea8durNFskpc0/QVaEUi0KuZ6eLhOwkN7MwZAtcXPHz8IJUQpfLhCoJUGlRnBCR73SbqDYmz59Bl+ye7ubJT5jhkhUJb8DKyfFkZ8OVG1GSiSJquU7+XNfU8vUQD26Pn2dB6NrutodCJOxOE1aDTK3YoNXpUMqP2wtXboR58MbR2M/Dsy7SiSKNehtRFFi8EuDwQQJZkdAblTHFSW9UCESc7J1TlmSdxOyyn82hQJVw3I1eJyFLAuvfGQ2mEESBpeejrN/cRzt3GSw9H+NoI0GlN9elNynMLPlpVBuoqsb+OXulIAjM34iSPswO7Ot9iJLI4vNRJFHkdD9N+hyJ9824sXssbL+xfzb/RTfJ7xN/96O8/4evPdGowLuN/myULMtkMhmOjo44PDwc/FetVvF4PLz88susra2927t7ifcQLsnUMwRRFJHlJ0uSe6fJ1JshUY1qkz/5X17jS5/7Gu1W1z9uc1uxeSw4/Xbq9RbtRptStoIgCSgGHUe9ThtRlrjyfXGarQ6lbIXkQY6F56I8vHlIOO7BE3SQSZc57C1Eoks+rv1HC3z4E9fxvkVdUcPq1XB6UZ9gPatKy0XQ6XRYLBbq9frl0PA55Ao1/sE//SLJCSWow7gSH7fY2WwGJJuOVPbsd/0eC5mji4OH/H4rqXqDxYjrkba9Pp5fC3LrQWJs5moS1hZ8pA4LVFEvnDWCbq+SVZAIzTi5t/FosuZymgg6zNx7RAQ6gMdjptzpoG9qE0Mzhl+z1G7R6C1Mz6tSfaysBaZGqi/FPezcShCOOjg6LXLRaZqLe9g8zHZnW5xmTvbHv6vjSz42L0jve/F6mJt/vT/135dW/TycYK+TZZGQ24zJpB9LcOzD67dSKNVoNsa/y3x+KzaDzPaEGH9REojNd61756E3KDg8JpLHBaKzLgonRco9u15oxsVpcnxOCmDpapD1CfNYsXkPmgbtWoPE0JyZ1WHEZNGTPBdFLysSM0s+ts4lUQoCLD8X6VoMO232h9LwFm9E2L1/PLZfkQUvlWJ9JJwCwOo0EZpzo7U77N07pj7U1TZ/I0r6OE/hXBqfrJOYvx7l8EGCSrGGyWogtuzncD1BtVgnfj1CKVMmuTdumbU4TESW/KgdlY//wgd538evPlF41dOA/mxUtVqdGqCmqiqZTAZBEPB4PO/wHl7ivYxLMvUM4a0gU+/kzNSbsfR988/e4Kt/9P9RKdZoVJtUizXq1SbxGzE2bh7QaXdvWqIssvTiHLv3j/GEHFjsRiSdTDZVHtw47R4LgTkPoiSRS5bodFQ6gkA2WSQ05+YjP/U83/8jVzGa9W/bscNoPGw/YEBV1RGC9bRHfL9dkCQJq9WKqqqUy+Vn9jw8ColUiX/wT79Evjg5gEMQwDOlqNcfsJJtNKj17Fo3lkLcvT3+NP88Fpd9ZDIVMlMCEYah10koDZWZBe8j+5kAIk4LieMCC8s+Hk5YBA5jac7D1t0kkiziDts4SV6slF1Z8LHzIIXFYyR1QbhFH8/fiPD6dy623kE3mvzeTgpRFPAa9GQmqEuCIBCYcXB4MvrdKssiLlkh17O8LV8Ncn/9YmK4uOpHFAQ2Xp98j7Y7jLQFgVJ5nAQuLXrZev2Y2WXfhXNm8ys+NjdHic3KgpeNN47QGxQsDtP0/qxVPxvn4sidLhNiow0aNBqtwYzTMCw2A3qjjvTp+ELY6TYTiNjZvHlI51z8+9yKn5310zGn56ROKZ1eJr7opV6ucbyTGYtZN1n1ONwWjs+FeQgCLF2P8PDm2fUQmfcgqCp6vczew8SY7dEfc9FptUmfU7uMFj2xJf/AZh6ccWM2K2zfPmR2LUT6OEfh3AMSnUEhfi3M1q3DsffxxVwEYy623zgYm8ESBIG5q2Ea9RZH62dkb+ZKmJ/41Y/w/EfX3vMkql+LIUkS+Xz+0lZ/ibcFl2TqGUK/HO9JYLPZ3vbF65shUcebp/zv/+hPuPf1rZGfz1wJUy7UyJx0W+JdQRsWpxkEgUKmzOl+lnarw/L759i5n6DVaBGa8+IK2UmflEj0FmqRRR/Vaou198/wgz9+g6XnIm/58b4Z9D/D/n+iKA4iZPv/fS8HLgiCgNlsRlEUyuXy5Y3xMbB7mOMf/s6/H4n/7iMWdHC0M31GKL7gGST8BSwm0o9BkOIzHox6mTsbj1amVuJeNu8mQIDYkpft/en7EgnaSQzZERf/f/bePMjVPb3r+7yvXu37vkvd6m6pt3NOn3vuncX74DuDMYXHxmNjnMKQIgkzAZPCFDgVghkHA7HjjANxoCiKOCbBf0By7fKkxhNsxhjG9szcOfvW+7631ta+5w+11FLrlfrce89+9KmaOndar6RXr15Jv+/7PM/3O+dhcUgVadxtZvvstbm9Jk6yBao1+e8ttVpCVW5QLFRb7oRnQbeDEAQBt0GDxqBia0hobmtbCEbsqFWSbFWqjctt5CRXoFY7f+bZKRcrt89/a5VKBWaXgWOZTKA2TpcBqd7k6GDwNpMxF8vrvWLJatVRTRUo5quYzFrqAuQG5Grp9SoUGkXHLn065mKlKwDXG7BwdJwbmH8VnfOwfCZiTGYt6kaDxJll+diUk821uGyGmNtvJpnI91S2RFFg9oqfXDzLwW6qTwABRK/4ZHPGJKUC/5iNrZUTghE7hVSe5GFLdIejLvY3+wWVRqfE5bewLVMliy0ESMdzaDUSmw/P3zdv2E6xUO5ru1NrlQSnXKze7Z9VuvodExRPC6xcaAnU6FSEZjws39qmeeF32OI04vBbWL2zg9NvwWI3sH63dTFRb9YSiHnYfLBLWcbQIxB14wra+J7Pvc317389Wtw0Gg0Gg2FoNWrEiKfBSEy9QTwNMWUwGCgWi8+k5eyDiKhyocJv/7Ov8Qf/5n1UGiUagxq1RolKq0JSSZSKVYq5EunjLIVcmejbY6zd3emYTuiMGsauBqlVajSbcLSVwDfpYvX+PvVaA4Ukcv37orz1qWne+p4pNDrVU3+9TwtRFHvaA7sdBOUCXl9V2lbnhUKBUml4js+IXhbXjvn5f/x7HSvyNrMRJ0uXzCtNz3nIlMocbD5Ze++VSS+LD/cJRJ2sbw+fP4p4zgWPwagGnUR6QNvc7LiT5a7WQbVGgd4ubwnucRo52erd3+l5Dw9X5atfs5MulruEzvScd2ilLBpxsP7gELtDT7pcHWgZ3sbh0KMSRQ73hlf1p+fO91GvUyEVan1Vmsva/WIRO7Vijc2tZJ+7XzeTM26Wz6pLggBjHjPbq+fv10RsuPtfeNzO1k4Sf9DK0eoJjQtCNXbFN9CsRKlS4HAbOc0UMaoUHF84LtMDZqTg3JGviYBSpSAcsrJ+ZkIxOedl9fGhrBCLLQRk56S0ehXRWQ/3/miNiwc1NOXkcCfVZ2suKRWEplysPzrfR5NVh9tnpl6usLt20ncfg1mLzWNke7H/mMy8Pcb6g9ZsbnjaTb1cZXflGINZiztsZ+1OfwXUO+5AEAX2VnsfzxO2Y3UZKWSKbD3sf716s5ZgzMPmw71OdlV4zseP/PS7XP8TM33bv4qMqlEjnjcjMfWGoVJ9NFGg1+spl8tP1SDhg8xFAdz83Yf8xi98mfheqkckTL09zuFWotMvD+AM2lBqlZzspXAFbRjMOtQ6FQdbSeJn+SEKpYKphTCrD/eY+9g41783yo1PxTBadU/tNT5vFApFT/ZGt8FF+99XBaVSicFgoFqtks/nXwth+CK4+WCPX/xnv9+ZTRJFAZNCIpu93LDj+kKA20/Q4qdSKlBWGpSKNYwmDRgkUgOCbh02Pen9056Fb3DMxtbJKY0Li1qNWkJRqlEu9YoWf8DCXirfFxg7E3Gy/OBCZUyA4JSDzQvVL0EAl07bCiI+Q5JEbD4TBzItZQABm4HDs4pUdMbN4/XhonF60omi2uDx6vB5LEEQ8I1Z2d5PMzfp6rEm73m8eS+PZNr9wmEbu2fzSrF5H4syC/c2Op0KpV5JKl1kJuZm+VZ/dSQ672VpyGPMLfjZWznmdEBbZGTaw5pMBQfA4zOjU4tsysxIAUzMeFgb8Nyxqz52NpLYzGr2Lgi+2DW/rFsfwNyNMR7cOs9wcvnMiPU66eMsLr+ZHRnxGIg4iB+ddoRHG0EUmLriY/3RIROzHjbv71E+q/56wjZKhUqPFTq0Zr+mrgVaLXwXvsZm3goi0OTRNzf69iFyxU98N9WJ7ejsgwCTC0EONuIYLTo02lY7YJuxOR/lQoUDmQsDWqOGq98d5eN/+io3Pj0ne7xeRUbVqBEvgpGYesP4qGJKp9M9NTvvDyqi4vsp/s8v/ha3//3jnr9b3CasXiubD/fRGTVYnEa0RjU6k5ZioUImniNx0Aq7jH1snNU7u53Flyto5Xt++G1C0x6mrvuf+RzUi0Qu3LBbXL1sDoIjq/Onz3/81jr/5P/4Q5pNiARtbF3mXAcoFAImhQKrz8z6znDb8GjEyVqXiPGHrOxlctRk2usWpn08uN1/xT12xdtXQZqZcMmGt0JLWHRvr9UoEQrVPuEFrXmhstjssQefHLOz+ah/sen2mDjOFqhdaFWLhG1sXwgBDkedrA+wDFcoBOxqJcmTfGtGZ0h4LoDdoUfUSmR2TjuV9P7HFHEGTOx3OSsqFCJOg5qTs7+p1BIWh5GjIbNioTEbhWqN070s1Ur/51+lljDZ9ZzIiEqFQiDkNdGoN9jZlH/tWp0KrUlD4qRXBCgkkaDPhIImG6vyLX1qjYTVaeyI1m4sNh2BgIWH72/13xGIXQuwdK9f/AsCTF7xs3x/n+mrfjbu71I5ywLT6FQ4fWZ2ZASvN2QjmymSu3BhIBx1YTSoePDH6333MVi0WJ0GdmTEZGTOx/Fuily6gD9iRyHA9uIhCklkaqHl6ncxMFejV7eCe29t91TQPGN2dAYVklLB2p0d2XNm4mqAXCrfMZvwRpz8yF9/l4/9qSuv/ExUG1EUMZlMiKI4qkaNeO6MxNQbxkcVU1qtlnq9TqUin1XypHyQlr56rc4f/Nv3+aPfvEW93mrBE0WRJk3UOjXZVIFitkQmkaOUK2N2GbG4LWwtni++DBYdjqCdXLrA1EKQmXcivP2pOTxh+xsX7NpNt7hqOwh2C6wXJWD0ej1qtZpcLveRz7URvXzl9xf5l//mfWbCDpafIK9pYszO1uIxWp0SnUvP0QBjAYAJr4XNtV6xMDXn4fFm74JSEATsahXplExFQ4CJWS9LXeHBQZuBg0EtcgKMRV2snS0UZyeH25VPRHvzsCJds1UXmZ7z8PDCXNa4x8zOhWwhk1lLVYScTIbT9JSL1Tt7Pdvl88PP6bcW/Ny5JFfK5TGSyBY7luozMTfLt3urS76AhYOTXN/CvI0oClyd83L35uDn8vjMnKTy1C5Yt89Mu1m+tYPZqqPWaAycr/L4LcQTBapni3xBgMkJB2tnlc7pawEW78uvJyx2PfVGo8fe3OkxUs2WyaUKBCYdbMmIFUGAyXmfrABXa5VMX/Fx9+urfbdpdCo8QRubMkHXDq+JWq1B+iSHwazB4zezenYxYPKKn82lwx47cWiJxokrfpZlLhqEoi4sVi33/tNK323eMQeNRoMjmRlC34STRr1Bo1rHYNKwdvf8sa0eE3avhdXb/W6MgiCw8KkYb787y3d89vorlxM1DI1Gg9FoJJ/Pj6pRI14IIzH1hvFRxZRarUYQhA89s/JBRBTA2t1tfu3v/D99WRp2vwW9Rc/OYu+P3uSNMHsbCYrZEjaPiWDMQ3jay8RCiPC0F4fXgsFgACCXy42qHRd40Q6CarUavV4/sjp/xvzbr9zjy1++PzAvqJtY2N4JTbU5DJSVAhkZd0CrWcvpYV42IDd61cujrlajSMjG9tLgljedToXKqiGezBMO2Ngb0CrWRm9QIeiUnGZLuPU62UpKz/7MtwJufR4Tx+uDM6sEAUKTzk5FLui3cDCgmjcx5WT5wuJXkkQsCqknd2ki6mJlSHXK7zdzuBJnPOZm/ZL2wdich8crx1itOkrxPJVy//s5Pe/j8YB2uZkZN6t39/AErezuDJ6Ji855WerKUpqccrLRNX80NuVkcyM+MBt5atbD8tn7PT3jYvmCC+LErHdgS58vbOPk8JRqpY4nYCF3fEr+zPhCo1NicRhkq1cKhUgo6mKj63HtLiMSTU72UozPelmTCRFWqiV8Y/a+7CgAi8NAMOJg/d4O+QtVKl/EQS5dkG15nLzqZ3v5mEqpit6oIRCxs3pnm0ajSfR6iJXbW32CV1IqmLgWYPXODvWuyq7NZcTmNiKKAjtLLZvzi3gjTlQaJVuPWus0s8PAn/n89/GpH38HSfXRHH1fJrqrUalU6qXrrhjx5jASU28Y7fmZD4tKpUKhUFAsys9BDOKDiqhirsT//T//f/ze//VHNLtaGgRRIPZOhI0He9RrdcxOI3avBUfASnjWh9FuwDPmwBdxojNqzu83coH70LQt9Z+lg6AkSRgMBur1+htdKXye/O//+pt89fcWh26j0ypp5Ko9rUP+sJX9zHmloc3cpIvFARUhUSHinbCydTanGAvaWVseXhXzBswcZgpMBm2sPEGob3DMhkItsfn48mqbUiVidhux6tWsXvLYJpOGmlIkmy8zFbCysTxY2E3N9joMzky5WLnT324WnfOwOEAghj1mdtfiGEwaUIqXzrSNR51IgsjqQ/nfZEGA0ISTzQuteB6vicR2knqtgc2hp1CuU5RxeWszOethZfkYh9NA8SRH6UIVbvqaj8cDWjGhZUgBsHyzv2qiUkvY3CZZUQQwMe2mVKqS2klRvFDVM1m1SGqJpIzlvKRU4B+3s7VywljUxfH6CYWzCppCITI265EVVK3sKCdrD88v1pmsOhxOPQfrcTxhOxuP+o+32aFHb9Swv9Evlr1hOza3gY37u30CyDvuoFapciLz+l1BG0qNRProFH/Eydqd7c7nUW/SEphyyYoxgMmFENe+N8ZnfuqTaF6zFvb2bFQ+nyeXG56lN2LEs2Ykpt4wPqqYai+on7Rq8EHnogCq5Rr//l//EdlkHpVGhVqvQmvQoDNpMNkM6M1aTA4DRqv+iV6LVqtFq9WOXOCeIt0Ogu1z6sM4CAqCgMFgQJIkstns6Mric6TZbPKr/+Lr/CeZeY82s1E3yzLD/BPTLpZ3kz2VCLdeQ/xksHW6wahGNCmp1RuUEiUa9cu/F6bnvKyvHsuGvMrxsRvjfOv9/gF+OcbG7RzupWRnqy4SmXCQq9c52UjKzve0Uasl9HYdJ4k8SqUCoyBwKpPhpdZI6K39VvMTEQebXS52Y5Mtw4xhrnyzcz72N+NkBhh9QKu9sC4K5LLnQsJt03K4fV6Vi8TcrK0OroSpNRI2txGK1b7gWjhzBIy5WB8gEqem3VQLZbYGPIfZpqOJwGm6/3UEx+0YtRKPZUwyAOxuI+VKvW+mCVpCbeaaj7t/uN7n1icqBCKzPlkhKioEJud9LN/dY2LOy8HqUUcEKRQikSt+VmRc9lRqiYn5AI9vbnb+Fph0USuWSR5mCM94WZFpw1OqJSLzfpZubvVUdxVKkcl5P81mk53FQwrZ/t8wV9CK3qxl46x1UiGJfN+Pv8MP/9U/gclukD1mryrPoxr1+PFj3nvvPZrNJp/4xCd49913e27/5je/yW//9m9jNpsB+O7v/m4++clPPvX9GPHqMBJTbxht6+yPcn+1Wk0+Pzxvptlsdv73olCpVBgMBsrlMoVCYVTteMa0HQTb81fdDoJyBhdtkZvP5ymXL3eUG/H0qdcb/PKv/j4378gvUiMeK9ub8ovf2FVfxz48HLCyu3y5mYXXb8bi1PN4gNvaRWaiLppNWFy5vNrkcOhJ754SjrpYu8TkAWA26qJZbQzNqurm+jU/d27LH6dufH4z+6k8sQkny7cHOyD6AhYOEudZTAqFgF2nJnHY26IYu+JjUablDM4MIlQiRqOGrZ3UwDY7gLEJB5vbrW1mpt09AbM9zzWkUnf1mo+V+/uUB7SHanUqdGZNX7BuIGzjeD2OSiWhMapkg4sBvEEriQvtiqGIg6P1EyrFKrGFAEsy9uYA7qCFbKbYYyUvKUXGJ51sLx7g8ltl3foEUWDyqo8VmXNSo1Mxc83H7f+wLPucsbdCLN3ud+YDmPvYOLtrx/jCdh5/a71HIE1eC7C3dkJRZs4sMOmiXCxzspsmMu8jdZAhediaFzRYtPgmXCzf2pJ9ztC0B/+Um89+/vvwRpyy+/wq056NyuVyz6wa1Wg0+Af/4B/whS98AYvFwpe+9CV+6qd+Co/H09nmm9/8Jjs7O3zuc597Jvsw4tVjmJh6faYTRzw1ms3mpWKs0Wh84La+p4kkSVgsFjQaDel0emSn/Zyo1+uUSiWy2SypVIpkMtmpYOp0Omw2G1arFbPZjN1uR5IkksnkSEi9QBQKkb/xX38fszF3321up3GgkAJYurfPzERrwaaVFE/0fIf7GaRqgycpjgsCJA+zbDw6wu8zX7q906qn2WhyspvGZtEO3VanU7G1fMLyo0Oik5cvOp1OA49u7TzRfuzvZZiJONlfGy7o9nfTRLsWvNFJV5+QAlh9fIjfL/+8E+N2ksc5ttbiTE97ZLdps7kWZzrmxuszsyLjdNd+rkDYKntbdNrNg29sDLwdoFioIDZBoz3PM7Q7DWT2M5Y8o/4AACAASURBVNQqdQq5MgoEtHr52d2DnRT+kLVzfoQidg7XjqkUW+2Hy3d3mZz3yt73aCeNxWZAffbceqMGj9fIyu1tysUqx3spApOOvvs1G01W7uwRu+bv+btvzI5OLXL7PywztRBAFPtP2qVb24xNe9Ea+lvoyqUKVpuOo62TvjnC1bu7aHRqxuf8fffbXT1GqZK48h0RNu/vdoQUQC5dZPnmFt5xJ4Fo72c2NO3hJ//bH+Tzv/Rjr52QEkURi8WCTqcjHo8/07a+ra0tHA4HDocDSZK4fv069+/ff2bPN+L1R/HFL37xi4NuHDmmvJqIoviRrVDVarXsArgtol4UbSttrVZLLpejWCyORNQLpm1eUS6XKZfLqFQqBEGgUqkgiiJ6vR6NRtOpZAGj9+w5o1CIfPxGmPuPDkilz9t3x/yWgRWENqmTPNFpN1ur8U6FZRjjYzZW7x8wPeeVDdvt2TZs42AzRaPRREJA0koDw3G1GiWZoyz1WoNqpY7DqiNXrg42RIg4Oq1qhVwZu8tILj9Y1Ae9JuIHp6glBU2FIGv13o3LpkerkkjJuRV2kYzniEw6Wy1qRzmqMq+v2WiilERQCD2Oek6XgYO1eCeTK3GSIxixk5Fpk2tzmi7gdRmIy4i29nOJNFGqpZ7WSpfHxNFGK5g3dZIjdtU/8Nwo5MqExuyk0wV0ehUaATLxfM/tvpCN7GlR9v1JJ/JE573oDGqON+JUL1TBMok8YzEX6Xj/+ZNNF/GGrGgNasR6jaMuu/p6rUG5UME/4SCT6H9fEoenxBaCJI9PiV3zs/1or9PWlzw8JRTzUC5W+qzH0/EcFrsBo1VH/rSExWHAG7Kyfmeb9EnrOIenvaQuWNSX8mUy8SzTb49xmsxRrzXQGTRMXWlZth9uxHH6rdh8Zk7jvcc6lypwmsgzsRBEb9byZ//6u/yln/8srqBN7i15pdFqtVgsForFIul0+pmvMba2tsjn88zPzwOQTCY5Ojpidna2s83e3h5f//rX+da3vsXKygpjY2NotcMv4Ix4vTEajQNvG1WmXkM+6kK12Wz2ibFGo0G9Xn+hi2C9Xo/FYqFSqYxcfV4y2uYfFouFQqHQqRaenp6STCZJp9NUKhUUCgUGgwGbzYbFYunYo3+UttQRlyMIAk6nlV/6+R8l6LcALcvsg+3BLndtmo0mykoD5xPOZUhnsz9Ld/eYmhh+9Vzq+jpJJwvY9RoUCvkLQWMhG+Xi+Wd+bydNNGyXf1xJ5KBrkV0qVhGqdVQq+eqaw2Fg/SwINxHPEXAP/tGEVtVre/GIo+0U1kuCv5tNON5NMxGydowR5EjG84T8vQtlvUrqWdg3G03Sx1lMJs3Fu3eYmHCyvxrHYh288MukilgtWsSzY61SSwiVao+oWb6/x/jU4PdvY/mY2KwXp01PfL8/52p75YTJ2OBKWiFbxqiWOhWpbur1BrtrcUIDKorNegODRkE21S+2yqUqBxsJxmf6K7Gt/Trm6jshVm5u0rggmLcWDzFadNg9pr77xQ8yZBJ5rn3XBKVsno2u4NxirszavV2mrodQaXqd9JpNWPz2JkarnrmPjyPS4OEfr3bmCY93kuwsHjL9TgTzhc+YQhKJXAnw3/2r/4JP/fg7r933ZLsapdFonnk16oMyPz/Pz/3cz/GzP/uzRKNRfuM3fuNF79KIl5jX65M54qnRXUF40SJKo9Fgs9loNpujlrGXEI1Gg9VqpdFokEwmZV0Um80mlUqFQqFAJpMhmUxyenpKrVZDkiRMJhM2mw2z2YxOp+tUt0Z8dNrvT61Wo14v8Xf+5qdxOw2Mh2ycZp7MrCUTz5NP5LHZhgsHs0nDZnv2qQk7S8cD2+ZsVl2fa97OeoLoeH+bligKnOz2C7/lR4dMyyy4JyOOPlOIo4NTxgPy7WtOm67HLGNt6Zj5GflWM4Bw0EKxUKWQr2BQSwMFYBuNVknuONcRL4NYfrjP9Fk75tSUk22ZObJspoTFpJFtSfMHLSzf3iF3WkKvVSFJg3/idzYSRKMuAMbCVk72eg0nmo0mB9tJnJ7BwrJZqaEdIFABVu7vM32lf87AF7KS2Erw+OYW0avycwjVSp2jnRSBSK9gHp92c7wZZ+3+Hi6/pdPy13vfGttLR0xe6X0PPSErWpXA3f+4QnDShUbX34p4spemmK8QvtBSabLp8Yas3P39RUJRDwpl/7Fdub2N0arHf+GctHtN6A0qHv7RKt6IE62xv2Vw8f11yqUqs5+YQFIpmPvEJF/6dz/L5//hn8PmtLx2Qkqr1WK32ymXy8Tj8ed6cdRsNpNKnX+fpNPpjtFEG71ejyS1hPEnP/lJdnaGZ8KNeLN5vT6dI4Cn10LVrhq0v1CeN0qlEqvViiRJpFKpUSbRS4YkSVitVpRKJalU6kNZ6ZfLZfL5POl0mmQy2ckFU6lUWCwWbDYbJpMJnU6HUtm/aBoxmIvvT9vl0mbV8Xf/1mfQP2EWjd9v5nA3QzZdQllvoh8wCwPg95p77JurlTqFRAGLub9K4nEYeiIR2izfO2B6ytXzt8i4nVRc/vO/uXSMv6uSIAgCqSP5FreVx0d9j22z6ViVsc5eerBHONTfUmUyadh8fG7gsLedunQmy2bUtITiheeWY/XRARMTDk525EOGoVcItZGUCmq5SueY7m8lmbhkv5Ye7HP9RoDVu/KmG6VChXq1hl5m8T8952Xl9i6r9/cZiw5+XUt39ojOnQsmj99CZj/dsV1fubvL1IAZqXKpSvwgg3+8Jaim5r1sPdilWm5dsNldPcHhMaGT2b96vcHa/T1iC62ZpckrPhLbCZKHrSra1uIhJpsOq6u/4lrIlthZOWLuYxEAIvM+6uVypxq1fGsbp9+K46zK203iIMPBRpzYjTAqjUTsepDM8Slbjw9oNpss39pCUiuZuh7qu28pX2Z35ZD/6h/9KH/71/4SNr+RSqXSc8HJYmnlKL6qFf2XoRoVCoWIx+MkEglqtRq3b9/utPy1yWTO59gePHiA2y1f6RwxAkZufq8l7cygD0vbWKI7d0iSJJrNZo9r27MKw223gsEodPdlpD23Jooi2Wz2mb8/H9RB8E2nO29tmBX93l6av/8/fIVTmUDQbqYnnSw/OM/i8Y/ZOEzl+2abRFHAolaSkZkh8gQsJPIlSmcObiqVAnW1SeFCnlAbhSTimbCzvdO6ehxymdjbHCwuLDYdFVEgmyszOeFg48HhwG0VChFP2MrOWSVmZtLJ8n353zqzVUdNIfTkQM3PeHksk6M0Oe9lWSZXKxS2sdslvibnvKxckr81f9XL7kZi6GzUxceamXGzdLP/6nn0mp+lR/LHw+UxkT86xeE3s70+2EwjMG7ncP+0M0cWiTrZuL/fsSFXa5TYPCYOduTbRgVRYHzGTSZVoJwpkLtQNRQVAuMzXtYG7KdGpyR6xcu9/7Qqe7snZCOXLZGTOV6iQuDaJyLc/oMlWXc8g0WL1WlkZ7Xf8VGtVTK9EGDp5iYlmXNVrVUSmvawIuOa6Anb0OlVlAoV9lbl3+/QtIdyrsLRdgJBEPjeH7vBj//Mn0Qvc/Gh83oGZAI+r9D1j4JWq8VgMDxTp74n5dGjR/zmb/4mjUaDj3/843zmM5/hK1/5CqFQiPn5eb785S/z8OFDRFFEp9PxYz/2YyNB9YYzskZ/w/iwYuoydz5BEDoLWqVSiUKheKrBrqPQ3ZcfnU6HRqN54VbnckK/ezHxpgpwjUaDTqd74ry1zc0Ev/ALvzNQ1Gi1SprFKpULOU2RaRdrO6mOMQLQEjEPB4uY8ZiL9b3WfaanXKzcHf77YjCqUZjU6PUq9p/Akj00ZmP7OIvXrudgWz4Yto3JrKWhElAoFOSPW6YWAx933M72YYZGA+x2PdmDU9nt1RoJq8fM/v75cwsC+BwGDrZSXdspsbqNHOxn+h4DWnbqR+sn+EM29g8zQ00/VCoFNp8ZhShysHIsW+lTKET8kw62LogllUqBzajmeCeNzqhGY9SQOB5sOjUx62Ft6Ri3r1VZKl+YdTKatah0yoGmFXa3EbtNy/IA23OFJBKOuTuza91MX/WxcX8XV8jKzoCMK7vH1GoF73p+nVGN02Vk6/EBE1f8bC8fyRqAKCSRiSt+lrviAzxhG7VimfhuCrvXjFKj5HCAHX9k3s/xbopcuoBCEpm84mfl5ib1WgNBFIjeCLP5+IByof9zppBEbrw7y6f/s08QfSss+/iX8bILLIVCgcnUqh6n0+nRBbARryTDxNTIze81RaF4Mhtj+GAOfe3Q1nK5TLFYpFKpIAgCKpUKvV7fmXdpP/+TPq5Wq8VoNFIul8nlci/tlbU3FZVKhdlsplarcXp6+sLFSreDYLFYpFwu02g0kCQJrVbb5yD4ovPQnjWSJGE2mxEEoTOL9iRYLDpmZjx844/XZd3rJiecHO/1mwuk4nli027iyfMqlFmrJCMTXtsmnTi/j7LeJD/EjAGgUqljMWnQa5WkZFzdLpJJF7l61c/a48vzqsrlGi6HAZtVS/yg//VdfNz2foe8Zllrc2g5yamVClCIVM9MI2bnfGxeqLbUaw3UKgWI59u1EUQBk1Yimypymi4yNeMhMeS11+tNNGoJpQCnSfk2yGazSbVcw2TTUexazE9OOtlZah2raqWOXq9GEAVZsQGQOskxez3A6dEpOZlZu0q5hlanRKmW+jKqjGYNUrPJ4XYKf8Quu6/NRpPTVIGxmLvj4icIEJ33svR+S5gUc2VCUTfpeL9gK+bKKFUSNpeJXKaI02dGosnBRkuIp46zeMI2BEGgXKr2PXfi8JTZt8dJJbJMXvGzu7RP/qzKWsyVKeXLTF0PkjjoF8Gp4ywqtcTktQBCvc7mw/1zYduExH4ag0lLYMrd4/gnKRX8mb/yvfzk3/5TOAMf3qWvPdtcrVYplUqd3+Zms4lSqUSn06HT6Tpt+8/zO1Gr1WI2m8nn82QymdFv+4hXlmFufqPK1GtIu4J0Gc1m85l8scm1ZXW3ZHUv9LpDdy8LCR7x/FEoFBiNRhqNxisnctufg4tXa7vPxVfp9cjxpC19l/H40QG/+Iv/rq91z2PVcXww+KJa7JqPR8vHuN1G4luXOwMCLHwsxJ1v9bfJyeFwGjDrlKxvDw+rbTMWMKPRqVlculxQWW06vDYdjy9puWtz5e0QD97f7rS2DSI84WBrN4VSLaFt0meE0SYSc7O+Ee95XdOzbpZv9baMDWvTA5ie8ZBPFTg8zPTYql/E4TZSqNTJ58pMxtysy7SmBSIODg7Sso+jkET8PjM6nYqlIYHM7oCFbLbccS7U6FRYTSoOzto01VolDr+ZvQFthQpJJDztYXPxiIlpFyu3es8VSakgPONh7YH8Pqi1SqauBli7sy0bmGt26NGbtOxv9D+/Rq8iMuvhcP2kM1t1kbE5H4nDDNkuQSiIEL0WYOXmNmNzPo53Ej23X7x/PlvEaDXwl3/hhwlMPr/WsedZwequRqVSqRd+AW7EiI/KqM3vDUSlGjwk3r4i9Tyv1He3B7ZbEAVBoF6vk8vlRmX/l4zXteVSFMUeoS+KYueKbltgvSoVrA/a0ncZ9+/t8cu//Hudakk4ZGNnWb6lqpvogg/qTZYf9Js4yBEZsyEqRFbXLm/di0VdrNzbI3bVx+NL9iUYsrK3fNxpa9vcHC7uYlEnq3daBgWPF/tbyy4yGbFTKtXY2xneQggQu+JFEEUWZWaYuplZCPDozPzCYtVRPS1QvNByKYoCwSknmzLiIzhmZ2/pCBpNJue8rC4d0mSwY2Aw4qBcq3N6cCrbcgZn7Xwrx33iNTrTmg0SBFptbEPeb1/YRjKZp15r4PEY2bkgWDU6FXaviT0ZQQOgVCmYuxHizh8sy94uiAJTC4GetrzOfl7zs35vj8i8j+Vb8qJdqZIYm/Wycre3ra9aLJPYS6M1qPFGnKzfkzfm0Ju1uMN21u/vYXOb0GoldpfPzyGtUUMw6mb55lb/c6slfvS/eZc/+VPfgah48QYSz0JgtWejstns6CLpiNeGkZh6Axkkpi6bi3rWdJsXlMvlzuL2YtXgo85fjfjwaLVatFrtU1ukv+y0K6ntBUW3wUX735cJSZIwGo3UajVyudxT/ZzcvrXDr/zKv6dWazA17mBNZn7lIjq9ikDQzPLS5cLL5TES306hVCpa8y9DhInRpKGcLlA7q5ZFr/mHVpwiYSubZ7fr9Cq0Vh0nJ/ILObtDz+lehka90RIrMRcbAxb20JrH2n18hMmiRVBLpIe0MwLYnUY8LgMPB8wHdRO94mVp8ZipScfAaotWr0Jv03HS1WKo1kgYVRLJLufC2EKAxQGPAa38rZl5Hw/e34Qhoit6zc9Sl8NhbN7L8rfPhYmoEBib9sjON7UJTjpQqxSsDjgGGp0Kp8/MznqvqJaUCoLjdjYf7DK1EJQVTJ39eivE0p1tQGi1BF4LsPT+Zs/tK3d3ehwmu5l+e4yVuztE5rxs3t+lWu69qBd9K8TGw/2+v7dZ+J4pth7ukzyUn38LRN3UKrXOrNXE1QD/5f/4o3jHh7ssvmg+rMAaVaNGvM6MxNQbyEUx9aJFFJxbrQ8yL+iuGrwKi9rXDaVSicFgoFqtks/nX/j58iKRJKlnMQH0nIcvopL6tFr6LuP997f4V7/+DTKH2YGL0G6mZ9ys3d8nGHWxPkSQwFml6cw5T6dXobPrOD6SNyyYmXGzdPt8IS2KAuFpN2syFRqf38zhhUqX3WWgUGuSlzHXiE06WO1qVdPqVOgdeo5lDBgEAfwuE/tnC2Jv0Eo8XaBSHrxQnJp0srl4gGfcwc7GYBdCaLW1zV4P8OAbG0O3c7hNlOsNTjMtITc762VRxlVw6qqP5QFtgbE5L8s3t4ktBFga4GDY2fZ6gMX7+4QnHew+PurJ4YKW6PFHHGwNMISYmnVTypY4Psj0hC13o9YocYetbJ89hqRUEAhb2Xx4vm+xGyGWbg2u8E1e9bO7EccftrN2t3+7UMxN4iBDXsa1UiGJzL4dYm/lqEeUduP0W1CqJfa7RJ9Gr8I/7mD19jYGixbPuINVmbZJAFEhEns7zNx3TPCn//L3vBTVqA/DRYF17949vvrVrxIKhQgGg0QiEYLBILlcblSNGvFaMhJTbyBtMfWs5qI+CO12pGKx+IGziC4uakeubU+fdrVQEISRFf0QLraqPs9z8Wm39F3Gt7+1yf/6S7831EkOzuzQdUrSiTwqlQJX2Mb2gGpTq9JUpNZlumCx6WgoFaQvWFprtUrEcpViofcCilojYfWZ2d/vnWeZGLexIVMlCY7b2TvO9ZhruNxGklvJPuc7m9NAiSa5bO+Fnsmoi/UL1ZXItJv1jYTsHNfYhIOtMzGgN6pRG7QkTgbbQKvUEg6LhlqzycklZhi+sI3jeA5/0Mb2w31Zq2+FQiQ45WTjgtV3JOZmo6utLXY9MHT2CWDuY2E27u9RyMqbhSjVEt6wne0LzzV91cfi+y1xGJhwEj/KUirIXwyTVAqCUy52107whaydY9dNdCHIyv1dmjI/ZVqDmrGok53V4z7L9TZWlxGtXs3+xrkgMtl0mMxadpcO0RrU+CadrN0b7DQ4uRBk5fY2npCd4mmxrxo1NufjNJkjeeE9DEy5+Su/9DlC04NDoF9Vstks+/v7HBwcsL6+zvHxMQaDgWAwSDAYJBAIYLPZRgHsI14LRmLqDUOtVmM0Gnta5l6EoHpWlY7u6pVCoejJv3rRFrCvGu1qYS6Xo1KRn6EYIY8gCD1Cvx0V8DSHuZ9lS99lfOMP1/inX/r9Hvvzi0xGXazfP1+AanRKLB5Tn9iBs0rTnf7FqstrIluqke+a4ZmZ8bA04Eq/0aRBMqhJnA34e/1mjobMX03OeFhZj3dmiaYidtYHzPv4x2wcJvKduTFJEjFrlaRk7L5j1/wsXhBwCoWA3aLlZO9cUDrcRgrlxkD3wuk5D8s3t7E6DVSbTbIyTnndTM17SeynSR0Pvvqv1ipxBaxsn4kHq0NPJV2gkOv9jEcX/Czflz8WGq0Ss1GJ2W4YuA2ASiPhDtnYWW09V+yqj6X3e6tsvnEH6UShY0rR91w6JdErPu59XT5HCmB81sv+ZqLHkt3iMKCSBI53klicBjQGDYdb8pVApVpifNbL8u0dfBEHuXiW0wuugFNvhdheOuyzfW9z5TsiJPbSA3OjlGqJiasBVu/uUK82+JN/8Tv43N/4NMonDMh+1dDpdOj1ek5PTykUWp/HTCbD7u4uOzs77OzskEql+MEf/MG+UNwRI141RmLqDaNtVa5UKjv/Aj2LvGc5k/S8Q3flXNvapgLt1/wmt6zJoVar0ev1lEqlzo/giI/OZQ6CT3ouPq+Wvsv4xtfX+Ke/MlhQBTxG9i8sXvVGNTqbnqOj3vkeZa0xMM8qcCZiKpU6KpUCjYCs/XYbu8tIqdEgm6swOW5n/fFgtzuA2FU/j5eO8frNHK+eyFZ02kSm3axttapO0zOePne9buZuhHnQJSanZz0syZgeBMbtHBxm+1zyPH4z8c1Ep4XOE7KSTBcGtsUBRKfdCM0my0MyvaD1PuitOuJHWQJ+C9vL/ZU7QRSYmPOyeqEtUBBgbNLBxv29luHEteBQwwmVRsITtqFSSqze2ZI9vu6QlUK+SvZC9UiplvAFzGw9PmD6RpjFAaYR0DKJKBaqZOI5XAEL5VyRTFfVT6mWCM94WR1QYQK49l0TrN7aIj8gENnuNaM1adhdORdMOoMad8DK+v1dRIVI9K0Qa/d3qZbk36fxeT8//jOfYfaTEwP341WmPRvVbDZJp9OX/sY3Gg1E8dVsbxwxos1ITI3oDNm3xZVSqexb5H3UBdvL5AA3bP7qRc28vAxIkoTBYOi4KI5E5rPngzoIPu+WvssYJKiCISt7K/JX6E0WLZJBQ/zsyv/0jJtlmapUN2NTTrb20kxFXSzfHmw60MYXsiLqlOwuPpm1eeyqn3KxytYTOPfFrvrZ3k8jFCt91ZxuBFEgMuNhdeUEo1lDPVvqyXLqJjLjYX313ApdEAV8bgMHF+bMwlEXOztJ6rX+z2Yk5mLjrOUwdj3A0pCKEYDZqiMQsfPwm5sDt1FIIuMzXlYfdRlOXOmtLgmiwOTVwFBBNT7tRmjUWX84eBu7x0RTEEiezckpVYpWa9+j87VG9HqQlXvyLX0ARqsO/6ST7Qe7A9sPYzfCrD7Yo94tXoXW+7r0/iZ2rxm1TsX+mvy8lyAKRN8Ks/5wF4fPQjFT7MmHArB6TFicRjbu957Xb33/DH/57/8IBqtu4HF4lZGrRo0Y8SYwElMjZJEkCZVK1RFYCoWikwP1QedAXgUHuO6WrOc98/KiEQQBg8GAJEkvtNIxooVcFlu9XkeSpE4w8sskdL/5h+v801/5Ws8M1cS4nY3FwdURi00HGiWnpyWMaonMgNydbiZnPcQPT0knnmyA/er1IA/v7V462wUQjthRiSKrT5BBBbDwiTHu/PFwUwhomSZ4xmxo1RIrQyoiANErPpbOQoXb7X1yTM55Wb1gT24wahCqNXJdFZXY9eBQI4nxqIv0YZqmIJBODD7+3YIqdsXP0rc3uDgQJgi05oZkBJwnaCW9l6JaqTI252VtiOgyWnXozTrih6d9ZhNtxma8HG4nKckI0/EZD4cbxwSn3CwPaAUF8E84KRYqJI+yqLVKfCFrj/BRSCKT14Ms39zum59rM//JCKfJHFuPhojIeT+ZRI5cqsBP/O0f4Pv//McHbvsq80GrUSNGvG6MxNSIJ6K7RaktsroDdy+2KTWbTRYXF1GpVFy9evWVc/AZNPPS3R74OsxftYXuIBfFES+WdkVXpVL1xAV0i/2LYdcvgvf/eINf/dLXqNcaOF1GErvJoe1yADaHHs+4g0fffrKQ3uisB2p1VpaOhuYlAfiCVg5WTpiY87C2Hpc1g+gm4DVxvJPCN+Fia314xpXDbSR9kCEy62H5Cezhx6MuCqcFjmRmxS4Suxbg+ChLIZ6jUhpcvb8Y1jsx6WRdxvY8uhCQzfiy2PVUc0XymRIOr4lKtcHpgNY2aInC6esBlm9uDdwvQYDYW2EWuww5rE4D9XyJ02Tr+7+VARVk+e7g6qLepCEy4+H+H64N3MYVsFKr1Xtc9iav+lm/u03jzFAkej3E2sMLFagutAY1oRkv6f00R1vyTpP+SRflYoV415ybUiMRjrpZubWFIAhMvRVid+WYQlb+QmFo2sNf+aUfIzD1/AJ4nyejatSIEcPFlOKLX/ziFwfdmM3KW4WOeH1ptx+VSiXy+TyFQqHT76zRaDAajWi1Wvb39/n1X/91crkcV69efWX7odviqVwuUywWOyYMSqUSnU6HTqdDpVKhUCgAXqpqwWWoVCrMZjONRoPT09PRlcSXEI1Gg8lkolwuk81mqVarVCoVisUipVKJZrOJJEmdGTeNRtNpFXzewdv+oJXwuJ1vf2MTn9c40Eq6m1KphlGtoCm0/nsYCkmkUaywt5EgNu8jHh9+ccZh05GO50md5Jia9ZBM5BiUnTQRdbGzeESj0aSUK+EOWocaPXi8JpKHp6RPckzM+kjGB7vxiaKAWhQoZUoYLNqBbX5tEkenTM94Olbrg7fLMn3VT/zs9a0NyGtKHp0ydcVHsmt2SKEQcdh0xPdbjnOFXBmTRYtCUlAZkJmkM6gppfO4/GZSQ9wH4wcZ5t8Z4/ggg8GsRaMQSHa3wDUhcZAh9laQxGG/uFRIIv6QlZWbm0wtyG8DkD8ttVohxx1kEnmiCwFWbm72VJEShxk8ITsarZpCrv/9dPktxLcT2L0m8qcl6tX+78BsMk+1UmPqeojkYQab24TBoGL78blATRxkUGuVjM35SBz0uvh9z599i7/2j/88Nrd54DF7VVEoFFitVkRRJJlMjkyKRrzRGI3GgbeNKlMjPhCZTIbf+Z3fIZPJ3dYwFAAAIABJREFU8BM/8RNMTEygVCr7zC1ep4X7sFDXl3H+qtsAJJvNvhbVtdeND+vS164et8/FF1FNvX97l1/9h1+lOMBMopvJaTdr9/awu4zURGFo2G101sNKV9uWnFtem+CYnd0Ls0+xBT+LMvNQCoWI3aQm3lU10hnUGOx6jmSsyMMTDra72rqUKgXeiIMtmXwrOAu0fX8LOKvSKAQyQ17n1KyH1Vs7AytKF5l/J8zqvd2B1uJwZiQx7+sYScSueFk626dunD4z5Wqd0wv7p1CI+AJmdpYOERUCkSt+Vi/JoZq+ESKXKrArY2zRZmohyNrD/c68nUIhEp5yst6VBxW7EWbl3t5AkxNRIXDtuya487XFgdVHrUGNf8LZYzwRmfOy83i/Ix5tHjMGi5adIW2ec5+MkE1kh7b1+SZdCIJAYj/NT/29H+I7f2hh4LavMqNq1IgRvYza/EZ8ZCqVCl/72td48OABP/ADP8Dc3FxPdkR3a2DbxeyiwHqdFvUv4/zVy2QAMkKeZ+HSdzFMs21w0X0+Pu0K1uN7e/zKz3+F0gALaWi1hLmcBo53W+1TLUElkk71L8wkScSkU/ZVRGILARZlAmiDfgu7MnbosYUAixfmuGKzHlZu9s/WGM1a1EY1J12256Io4LTrOvvcRq2RcASt7G6lev5usmipZoo9sz1Or5lirU5WJiTWaNbSKJQpZMstAXTFx+oQVz5BFAgEzOiMapbuDRdebUFVqzXYvL87sAXT7jFRB9Jdlb/ovIflb5+LL0GAqeuhga16okIgPOVEgcDG4iH12uDv9sicn8PdJKVihUjMw+rtfpEXnvYQP8ySl2mji10PsPStDSJX/BxsJigOsFeH1j5vLx0yNu1m6f3NvvNeEASiN8JsPjzoa2WM3Qiy9P5mq63veoitx/uUBrlPRt38tX/8k3jHHQP35VVFkiRMJhONRmM0GzViRBcjMTXiI3Pr1i1yuRzf+Z3f2Wl5G8ZFe3aVStWXB3XRxexVZtj8Vfu1Pksx+VGCkUc8H56nS59Coeg5H9sGF92fv4/K2uIRv/xz/+/A/KSJqKtvxsfmMlKXEVSxWc9AM4GLgmp80snmkIpO7HqAxTOrdI1WiarRIJeWP95mmw5RoyR5JixmrvhZ/Pam7LZavaqVodUVSjw5JR/06g5YyJWqfQHAE1O9uVyiQiAy5+uzJu+8li5XvdiN8KUhu1anAbfHyOIlbogWhwFJIxE/zBK94mP5fXmjjdiNEEt3+h8retXXEV/BqJvE4enADClozT95AhbufX1l8L67jKi7cqIEUWBy3sfKzc3zbdwm9CYtuwNyngQRZm6EycSzPdbmF7F5zJhserYeH6LWKvFHHKzd7T3/TDY97rCdldu9837f9SNv8Rf/3g+h0igHPv6ril6vR6fTjapRI0bIMBJTI14Kuu3ZVSoVkiQ9dXv2l4m2kUB7UXuZJfaHod0u9rSDkUc8PdouWC8iePfiflx0EPyo7arbG3H+p//+y7JtbV6PkcPtVN/frQ4DgkoicebYJykVGNQKMkMc/NqCShAF3HYDRzv9j9uz/Zmgmp71DnTMO98fPagkKpU6lCrkB9htQ6s90OQ0crCXZmzSydb9we59nqCV00KlIzYnpt2sywiTQYLKG7RyvHnSM+cTuxEaWKFSSCIej5H9teNWVekS4WUwawlGnSy9v9kxdJBjaiHA2sODThtebKFVKerG6bdQb9A7O3WGIMDkFR+7S4e4wzY2BwhHAKVKInI1yOr9Xcam3azd7n/vFJLI1EKIxVu9eVZqrRJv0MrGg72WtfmNMdYf7FIdMCMGMP/JCbLJfI81+0X8ky4QBI63E/yFv/tn+N7PvT1w21eVdjWqXq+TTqdfqy6SESOeFiMxNeKlpds9sNue/XVtD3xaC1pRFDEYDIiiSDabHbVivIS8LMG7w3ga7apH+xl+8e/8NvEuQ4pI1MWGjPNcG7NNh1LfarGbnvOwNCQYt01sIUC92WT19nD78TZz74RYubs3dDHdxu424Q5aeCQzZ3QRnVGN1WuimCqQPBxuwuEJWTnNVxBEAaHSa2vejagQiMyft/wp1RIWo4qT3X7RGHsrJJsv1ZqT2jz//zfCLA0wrQCwugxQrWGy6di6xC5+bMbDwU6K0JSLlQGVO71Jg81rZmelN7spes3P8tl9WvlNIZZubjHILERSKbj6iQkevb8+sM0OWhWx/GmR5FEWk02HTqvkYKO39dPht6I1qtmRmesKT3s42YrTbDQJzfpYvjXYIt0VsvHT/+QnCU17B+7Pq4per0er1XJ6evrMuhoeP37Me++9R7PZ5BOf+ATvvvuu7HZ3797l137t1/iZn/kZQqHQM9mXESM+LCM3vxEvLe3KVKlUolAokM/nqdVqiKKIWq3GYDB0bKMVCgWCILzS4qq9WK1UKpRKJYrFIvV6HYVCgUaj6XFsa8+kXbzeodPpMBgMFIvFUTXqJaXbpS+Xy72052yj0aBWq3XcLMvlMo1GA0mS0Gq1feejnIOgwajhne+a4P6tHbKZIoIAGkkkJzMz1KZcrKIQWhWNk53UQIe5bjKJPB6XgeODJ/tdspjU2J0GEseDnek629p1ZA7SaI1qikOMHgCqlTrBoI1quUZuiCMgQC5TwmbX4/AYOdxMDtyu2YTUSY7oFR+J4xyT0y52luQrOImDDNFrfhJd82WRGQ+rN7f6tostBEgcnXJRuKi1SvRaJfH9NLl0gYkr/qHujOl4jti1ACdb8YHGI9VyjXy6yNT1QMehL7YQ6Aip1guFxH6G8XkflVKVaqVXrKs0Et6glcffWsdsN2Bzm8nKzNgBnCbyNBtNYjfC5JM5WeFZyJbIJvJE3wpRzJepVlrnWeytEBt3d6iUqtQqdRJ7adwhG3aflcwF58aFT03zN//FX8Tptw48Pq8ikiRhsVgQBIFkMvnMZmwbjQb//J//cz7/+c/z7rvv8t577zExMdExSWpTKpV47733MJlMzM7OYja/fu6II15tRm5+I15pRFHsmb9SKpV980ivk9nCIMe2RqOBUqns2NaPePl4WVr6nibd+XOSJA2cB8xnS3zpi1+h2WiwdokTXJvZBT+nqUKfsYMcsfnWnE50IcDyo8OhOVSBMRt7Z9WI2PUgS0NmrAQBvH4z++txLHY9Cq2KxBBh4fZbONlKoNZI2Lxm9oaIJICJWQ+nJ6dUas0nCi5e+M4Id/5g+dLtJq/42Vht7XP+JEupIN+eOHnVz8bKSSeLSRBgLOpi435vy+H0jdDAWSvfuJ34dgK1VonZaWR39UR2uzZTC0EUksjiN9cHbmN1GdGZNOydGYlo9CrsTgO7K+dVJIUkEr0xxtKtLZoy1yPC015Otk5whxxkEtk+2/JuDBYdvkkHzXqDlW8PrkCOXwmQOy0S30vzIz/9/fzQ57+vx2zpdeB5VKPabGxs8NWvfpUvfOELAPzu7/4uAJ/+9Kd7tnvvvfeIxWJ87Wtf47Of/eyoMjXipWNYZerVDAca8UbRaDQolUpks1kSiQSHh4ckk0lKpRIKhQKj0YjL5cJms2E0GtFoNE9kkvGy0mw2qVQqFAoFMpkMmUxrgSCKIpVKBZVKhc1mw2w2o9PpUCpfv0HoVw1BEDAYDJhMJrLZLNls9rUQUnB+PubzeTKZDMlkktPTU2q1GkqlEpPJhM1mwxdw88X/5c/h81me6HH1RjUb9/eJb6cZmxjuiqY3qNk9c+lbvrPL1LSbQetbQYBG15zR0u0dYnMeBtnbTc152T8L8U0n8lTzZVxe+avigiigoEmj3qCYbwW9hiYH77vRrOVw84STvTRis4HNNfjKJoDJqmPl2xvErvmHbgewen+PcMSGTiUOFFIAq/f28AUs6PRqoNV2d1FIASze3Gbyig9J1fvdafeYyBxnqJSqZFMFDjfiRBeCQ/dNFCG9n8I+4DgCpI6zHG4kiN0IobdosNh0PUIKoF5r8Pib63jDdhz+3vNqYt7H7uI++UyR9fs7ZFN5Zj8eQVTInxhNmhTTRQrpYmsOagAb93cp50r8rX/5n/PZL3zqtRJSkiRhs9mQJImTk5PnYlaUyWSwWs+rehaLpfOb1mZnZ4d0Os3c3Nwz358RI54FIzE14pWkVqtRLBbJZDKcnJxweHhIJpOhWq2iUqmwWCw4nU4sFgt6vR61Wv3KBQt3L9BzuRzpdJpsNksqlSKZTHbaxzQaDVartUdMSpL0onf/jaF9/Gu1GqlU6qWcjXraNBoNyuUy+XyedDrdOR+VSgU//XM/xGd++PqljxEM2ygVqpRLVfZWTpiMuQduGwjbetziVu7tEZl0IEn9n+mpWW/f7MzSnV1mrwYQLmxuMGn6FvCnqQL5dB5fqL+tK9olvKDVrniwHmc8Jr84d3oM5M/mpFLHWWqFEu6AvNgURAGLRUM+U2Lp5jZTV3x9+3sRhQDVUhWTTTd0u52VY3R6idm3g33mEd2s3t3F5TN3Hs9o1dGs1jqvAaBWrbN8a4upa4E+4QVnlcBvrHO4mSCfzDN5dbAwrNcbHKyfEAjZKMmE7rbZWz0mfZQh9lYIUSEQvR5k7fY2tcr5Z61SrPLoG2s4A1YC0d73wztmR6uS2Fk8YG/liP3VlkmHxWXqe67wrI+f+7d/lblPTgzcn1cRvV6PxWIhl8uRTCZfmtbjRqPBb/3Wb/HZz372A983lUp1HmPEiBfJaGZqxGtD2ymv3QZXKBR65pEMBkOnktOuXL2sX8JarRaj0Th05kZu/qrZbA6cv5Kbdxnx4VEoFJ2Zg3al5k2mfT7WalWufiyMKAo8lnGvA7A7jRysxzsD/41Gk/RJjuiV3lkgAIfbyP7KcZ85QOokR3DcTqlc6+QcafUqCqk8lVL/e3FykGFi2s1pptR5rPCEnSMZx8FquUa1XMU37iBzNrNjcxo43kz0ZSo16k2yyQKT8z6SXfs+Ne/ts9sul6o0qnW8Y3ZOL9rDX/Wxfud8++ThKeMxD4V8WTbHKXrNz8qtbXKZIlqdCrPDQH7InJrNZeRkK447aCOTHNwmnE0VUGuUeMcdKGhysiPfxpg8zOAOWFFrVZ3sp9j1IEtdrX21ap3k4SlT14PkT4t9r8PiNCCJsL14iABMXgsR3+/N+GrTqDeI76eZ//g4qcPMwFmqfLpINllg6nqQWqWOL+LkZDvBabL3vEoeZGjUG0x/LEI+U6RaqfGdP3ydv/6//QVMNv3A4/Oq8bxmowZRLBZ58OAB77zzDgCPHj1Co9EwMdESq6VSia985SvcvHnz/2fvzaMjq88770/VrX1fJJVKparSLrV6bxqaxQ62wXYwQyDBYMAGYo8XsGNnEued8fu+MzlkzhnP+D1vnEwchsT4JYMxNjGh2Y3BNotp6AV6VbeW1r7vUu2bann/qL7VVaqlWbpbUnM/5/TpI+lXt+69KlXd732e5/vljTfeYG5ujq6uLpqbmyvOTR04cIB9+/Zht9uxWCy5bYuf+eI4wKVUWZRYW6SZKQmJMwiCUBAurFQqczNX+f+vFUqlEoPBcN6szvPnXUR79tV29JLAen9sBJe+9cK+V3p45Ie/K7qIbttUS38ZodW+001f91RuJqqpuYrhU+VnnpxeG4FIgpA/TvsWJ6ePVLZC97TWMDcXpNppZrynchCuQing6ahlqHcWT4ONsb5iVzgRmQzadrrpOzGFtUpP1B8u60anUAo0dDoZ6M5ur77RztTpGdKpYtHkbLQTDiUKxJersYqZ4ULbdLVWSV1TNcM9xcYV1hojK+EYIV8EQZDTvMPN6TLnH7KzSu7mKtRqBX1l8r9ENHoVrhYHgiDjdIWql91pRmPUMDmYnbey1RpJx5Msr7JTb9hch38xxPJc4c1cQSGncZOTgSOjyAU5rbu8jPXNVAzx3XRFQ3aG79h4RVdHg1XP3f/3zdzwp9fmHFbzPw826nukwWBAo9FclNmocqRSKb7//e/zzW9+E7PZzA9/+EPuvvtunM7Szog/+tGPKs5MZTIZZDIZw8PDvP766zidTvbs2cMTTzzB5ORkriPl3nvvLVgvIfFhkdz8JCTOIN49j8fjRCIRQqFQ7k6dUqlEr9djMBhQq9UXtaIjl8sxmUy5C/R4vPwFwvslv2IXjUZJJBK5UGUxpFEUWhvdLfFCs1Fc+tYLnuZq2rY4OfL2cM65zeW1MVpBHC3OBOjY5mZ5OUxDSzUjFSzWAUL+KEajGldjFUNdk+f8W/UvhXHUmZEBgQoVGjhTMVsIsfOqxvdk3744HaB9ez1yeYbF6eLMpfztLs8FaN/hJhpOkIoliJZpcwv5otnA4BojIX8Mo0VLMpYguioPK5VM418M0b7Tk3PTA9DoVOh1ypxoyWQyLE77ad1RT3A5QjpVeL5kMmjqrGXoxASL036at7mIhuMkV0rb5CdXUlTVGiGVJuwvrj6JRENxwr4Ibbu8KFUC8WAM33zxNYZvPkgmnaFluzubW5XJCrY6j43hExNnj2HKh1anxru5jqVVxhNyhZzW7dk8rIVJHyabHvcmZ/YcrHp5mOwG/uxHX2THdR2598h8R1mdTrfh3iMVCkVuTmktqlH5yOVyqqur+dnPfsabb77J7t272bFjB7/61a+Ix+PU1BS2ZB46dIiOjo6yVSnx/NtsNiKRCOPj40xNTVFdXc03vvENbDYb3d3dzM7O0t7ennuMhMSHRapMSUi8D0Shke8eCBRUr85nRUec6QqFQiQS5XNVLiQKhaIgc+iD5A1dylyKLn0Xk6mxJf7uPz/P3JQft9vCxMDCOR/T0OEglUwz3l85AwnOCID2GhKJNOND5952+3YXcyMLKLRq5is4wEE2ZDiyHKJhk5O+E5OUy0fKbXuHi0Q4zuToYsl2w9Vsv7qJrrcHi0TNatRaJfVtDhLRBOMVKmSQdfAbG5gnuZLC21LN8MnSeVO1XjsryXSB+GrfUU/fO4UVJrvTjFqnZmq4+Ny2bHUxcGyUTDqD3WlGa9AyOVD+d1brtaHRqkiupBg/XT7AF8DZVI3GoCLqyxpflKOupQa5IDDRP4vepMVea2SsRNWxxm3DaNPn2i8bt9bznQfvxlbBKENEfH8U/wc+dOj1hUCsRvn9fmKxytb9G42DBw+iVqvZsWMHoVAIg8HA3r17OXz4MJ/5zGe49tprWVlZobe3l3/7t3/jy1/+Mg0NDaTT6Q03My2x/pAqUxJl+fnPf86//uu/cujQIT72sY8V/TyTybB371727t3L/v378Xq9H4n8h1QqRSKRyGU5xWIx0uk0giCg1WoxGAxotdrc3Up4//NXarUas9nMysrKmgfvinlD4jHHYjEymcz7yhu6FBFNQHQ6HcFg8JK7OLlYGM1arv5UO0FflJMHRt7TYxwuM8GFIBq9pmy2kUj79nr6j40RDcVo7KhleaF8xanGZWGyb4ZIMEYmlaKu0V7Wslwmg5paI4vTfhan/TRtdhIKxku240E2pHeid5qlmQA1dRYUSoFYtHxVoH1HPafeHqS+pYZUMl2xFS2VTFPjNKFUylmc8VNJ1C3NBqmqNeFtr+H04fI24CF/lEw6jbfDyfJcMNti+U5xq140FCcSjNK2y3PmubM0b6lj6MR4bgYtGooT8kdov8yDbz5UNOdW31qDb8bP3PgSweUw7bu9hJYjZatZWp2KqD+C1WEiFllhJV76XAaXwgQWQ2y+uhmVRsHoqdI3gsOBKMuzAWobq7j65p3c98M7MFgqm3eIrH6PLJcRuFYzuUqlEqvVSiaTWfNq1PkiHo/zzjvvoNVqUSgUnDp1imPHjrG4uMhPfvITtm7ditvtZmZmBqVSSVNTEyqVCrPZTCQS4e233+aqq66SKlMS54VKlSlJTH3E0el07Nmzh66urpJiqqenh56eHv7iL/6C+vp6nnrqKa666qo12NO1pVR7oNiKp1Qqc0G6arU6J7DKCY6ZmRmqqqpQqVQEAoF1+6EnzlblB7rC2ePV6XSXTJhyKaSWvvOLSqNk254GAssRRvoqV5tMVh1LE0sElsII8gw1bhuB5dIzH0azlsBCgEQsSTqVxjcXpHOXh/mZ4jY7mVyGxazOBbMmEylCyxFatrpYKhHu27atjqHjZ2eLlueC1LosyASBeKzw71alUaASZIR8WWEW8kVRqRXYnWaCvuJ9dzVVMdo9RSadIbAYxmDWZE0kygQBt253cfrdERanfDR2OolHk2Vb7wBcjXZGuibxbnIWzR/lk1xJsTwbYMfHW+g/PFJW2GTS2dY6d1sNgkKgrsHOyMmJImGZyWRYmPJRVWfGWmMmeKaVsmGTk9nh+bMzThlYnPJhtOhwtdYUzU65WqoJLgQJLIRYnPKhUAo0b3fjmwsUiTQAzyZnVshOLdOyy0sqmSYeKRbhgkLOzd/6FLd8+3oExYeL0Fgdei3ehJLL5UUCq9JnwofFYDBgMBgIBAKXVOV8cnKS5557DqPRSENDA4Ig8PLLLzM/P89f/dVfUVtbmzNqGh8fRy6X43Q6cxbwBw8eRKfTVawoSEi8VyQxJVEWm81GMpnkyJEjJcXUq6++ytatW6mrq8NisfDqq6+yfft2NBrNGuzt+kIUG7FYjEgkQjgcJplM5toEDQYDer0+JzjC4TDPPPMM7777Ls3NzRvybtnq+auVlZWy81ewft0SKyG59F045HI5O65pxmDWcOqdsbIXfe4mG3PjWZe9RDxJJBCleUtdScHT2OYoskKfn/LRvsONfzlCOu/Cu2Obi+Guwpa3TDrD0rSf9h31BU6C9loTc0PzReIi6Iug0Siw15oI5gmf5k0OxvsK29bi0RWiodiZfT/7eaozakjHEwXmCbFwgpVYksbOwrWQDc2d7DtrUOGbC2KyarFUGQiVEF+NmxwMn8iaLizPBmjb5cG/FC7bSti02UnvoSGs1UZMVQZCJcSfSGAxTH1zNYJcxvxkaec9gHAgRtAXpuPyRuy1Zka7J0jEim8cxSIJlmcCNGyuQ6lWEgnEaNxSx8zAHLHw2fOTTCRZnPRhqzVT11LDcp5YbrvMy0jXOInYSk70JVdStO7ysJJI5USV0abnP/zzvey5cXvZ/f6wrBZY8XicdDqNQqEocln9sALrUqxGiaTTaaxWKysrK3R3d2OxWFCpVMTjceRyOS6Xi6qqbMZbbW0tw8PDLCwsYLVaMZlMaDQatm/fTlNT0xoficSlgiSmJCoSjUbLiqm3336bzZs354ZZu7q6PjKtfh8EsT0w3559ZWWF119/nSeffJJPfOIT3HnnnRiNxnVvz/5eyGQyBcdcqfXlQt6ZPR9ILX0Xj6ZOJ+3bXRzfP1w0V+RpqS4KlU2nMyzNZAXP8kIY8SXkba1h8ERpY4jFaT9OtwWZXE48lqSq1sRMCXGUv76hzUE8kTxzIafFV6aiE4+uEAvFcwKveXPWZa4U6VSGpZms2cTymYqYy2tjZmSxaG0qmWZpNkD7Tje+hWybnMmqYyUSJxosfD1GQ3Fi4Tgt290FM0+1XhvzIwskE2erVovTfqrrLBgs2qLKl6ethvG+aVLJNJFAjGgwSttlXpbnApT6U23YVMto1wTz40t4OmoRlIryjnqZ7MzZ/NgCzqYqlkpUC0V880HikQTb/6CViZ6pstuMBmMsz/ipa67B6jRT67XTd2ioqFqVTqVZnPSRWknRusuLw2Pnuz/5Mp5NF79KUarKX6mNGjjn++SlWo0Sj0O8IVdVVcWpU6cIh8N0dnZy2WWX4fP5eOedd9i8eXPuZqVer+fkyZOEQiGam5tz4hWQLNIlzguSmJKoSCUxdfjwYZqamnJi6p133qG9vV0SU++R3t5eHnnkEQwGA3fccQdVVVUkEoncnUqdTofRaMy5B653wfFeqHRnVrxwUKvVCIKwbo5Xaum7+FQ5zey5roP+rkl8Z2acFEoBhSxNJFhayIqCJ5lKkwFkqVRFa+xsZpJAlcuKUpAVtZKtxrcQwmLT0dzpZOBYZfe+dCrN0oyfzZd7mRyYPafZxOK0H1ejHXdLNf3nsG9fnPbj9NpQ61To9ErmJ4qzsLL7kK3CNG2pIx5dQW/SkAjHiJTImwr7o8QjCVp3uFmczs5cORvtzI8tspK375l0hoVJH06vHZ1JU5Bd1bCplvGe6Vx7oX8hRGolSctOD8tzwaK/49YdbgaPjhINxlia9uPd5EStU5ZtZWzb6ebk7/tQKOU0b3fjnw8WVBbzScRXMFl1xCNxLFXGXOtm8TlK03aZl2/+zy9itK6f/KhKbdTijSi1Wk1PTw/T09OoVCrUajUqleqSq0aFw2F6enqora1FJpPlhM+LL77I73//ewCOHz+OzWajvr4eg8HA2NgYk5OTbNq0CSDXZl9fX5+rWIlIQkrifFBJTCku4n5IbEDMZnMuZRzA5/NJQuo98sILL7CwsMBXvvKVnBgFchkm+bkfonOg2C4nl8sLnKJWVlY27AV+JpPJHYOIXC7PuWJptVrkcnmuhfBiZrsIgoDRaCSVSrG8vLzmou6jht1h5P/6xy/w+P98jdef66Kl00HvOyMVHzPcM4WlykDTNicn3h6quBYgsBShzmMlnXpvbl5qjZKBwyN07PDQe6yy6JELMnwzPiwWLQqFPCcKy6FQyBk7OYG33cHoORz5poYWaN9RTzJx7jbToRMTODw2rDXGiucvmUjR9+4onvZa5Ao5c6MLJeeKss8/j6CQ077Ly8CJCepbqrNCatX+JGJJ+g4NU+OxoTFoGDvT6ti200P/O8MFf1Oj3VPIBTntl3mYGJgn7M++B8oFGc1bXfQeGAQgEojRe3AIq8NEtdvGwLHxgsqT1WFEqVIwnFeVdG9yIghyRvLMJ+SCnNv/jxv43NeuPec5XGsymQyJRKLA0VUul6NUKhkcHGT//v0sLS1hs9lwuVw4nU7cbveG/zxOpVIcO3Ysd9yi815/fz9dXV3ce++96HTJV2ODAAAgAElEQVQ6XnrpJd59912cTieNjY1cdtllPP/88zzzzDM5A63Pfe5za3w0Eh9VJGt0CRYXF3n44Yf53ve+V/SzU6dO8eabb/KNb3yD0dFR9u7dy1/+5V+uwV5uPOLxOGq1+gM9VvwQzbdozxclGz1MshRiar0ossTwzAthPSwF764/9r/SzWP/z8tEgufOWKtrsLEwvkzD5jpOnyht+y1SXWfGN+NnJZ6kdYebkdNzZV3z1FolRoOShamsY1377gb6u6bKuve1b3fR9+4IAAazFrvbxmhvaZFkqzESC0SIBGPZgN/dDfSfmCw7x9S+I5uTBGdmgnqny1a/BKWcOq+N8b5Z2i7zMtw9xUq8vDmFzWFClkljd5rpO0eVDGDTFY1EA9ECoVKO1l0elBol3fv6K67TGtR4OuuY6J+lus6cy5AqRbXbhqXGxMCxMVzNNfjnAzlji9XUtdSgNWqYHV3k/r+7i60fbzvnPq93lEolJpOJRCLB6Ogoo6OjjI+PMz4+jt/vx26343a7ueqqqzCZTGu9u++bZDKJQlF4b/+FF15genqar33ta0BWZP3TP/0TNpuNm266Ca1WS29vLwcPHmTz5s1cccUVa7HrEh8hKhmZSGLqI86jjz7K4OAgoVAIo9HIDTfckLPovuaaa8hkMjz11FP09PSgUqm48847yyaTS1xYBEHIVa9E0SG2iqy3rJPzRX72lUKhyAlKUWR9EDt5jUaDTqcjEolIc1HrjMmheR78P59hqsQ8kYiglGO363MGFS073IwPLRAvYUEul8uodZmZysuecrhtpIH5qeJ8qdYtTvqPFoqLuuZqYtFkkSlEy5Y6Bo4WzknJZDLaLvNmRVJeJUWpVmCv0hXNSbmaa4jGVliaLdx2U6eT4eNjBTNL9jozGoOGycH5wp2WkZ3ZymtLrK63otapi9cCZrseeSY7gwZQ3+YgHk+WbSVsOOOSl0wkadnlZXZskWAZK3mAjt1eho6P07itnuGTkyQqWMMbrDpqXBYUSgX9R0fOmbW15eOtrMRW6D9ceW19Wy3/4cd/So3HXnF7GwGxDbxcbpTY7jc+Pk5LSwsGg2EN9vKDkZ//tLKywrPPPovFYuH666/n+PHj/Pa3v+Ub3/hG7piOHDnCE088wR/90R9x+eWXo1arC7Yh5UlJXEgkMSUhcYkiCg1RZF1K7YGlkMlkBQJLEIQCQZlMJsseb35L36U0sH2psZJI8Yu/e5VX9x4u+fNsNahQxFS7LMjVSmbHl8+5FrIVKE9HLf0nzn7GtWxxMnC0dJVGa1BT11LD4MlsEGx+lakU7rZaotEVFs4EArdsri07g6XWqfBsctJ/PFthq/XYWJpYKul8JxdktO7yMtA1QWol+zpv21Gfq47lI5PLaNvlZaTnbEVLb9ag0yiZG18qWCsoBFp2eRg6NVkwP9XQ6WRiVWufxqCmodNF/7GxQjMPWba173ReTpXJbqC2sYr+o2NFBhH2OjOZVJrFKd+Zry3YnRYGjo2WFEodVzTSezDb1mmrNVPtsTN0YqxgfwF2f3YLX/9/70Cj/2BdAeuF/GqU3++/pN+vhoaGaGpq4pVXXqGnp4e77roLmUzG888/j8PhyLXv9fX18eSTT9LS0sKNN96Ym2HJZDLSXJTEBUcSUxISHxFkMlmBuBLb5fLF1crKyiX1wSy2RIoia/X8VSqVylm2Sy196xudTodGoyEYDPL7F47x0x+8QjTPHtvVWMX04GzJi22lSkHjVleu7c/VZGd6YK5iBaNlez3jQwvojRoiSyFiZeaHRFp3epgaXcRk0hTZsa9GrVPRuNmFIAic2l+55Q2gcYuLeDxJeDFU1kxBpMZtQ6FRYLRo6T1UHLKbj9VhwlJjYm5sCaNZw0yF/bY6TNicZga7JmnsrGO8Z6rszFaN24apysjA8XHkCjlNncWVOpHqeiumaiODZwSlq6UG36w/l8mVj73Ogr3OwuDxMVIraZRqBd5NpbetN2txdziZHJgltBzh1r/4LDd981Mb+sJadBVVq9X4fL6cMcWlwurq0djYGD/96U+5//77EQSBF198EYAvfvGLvPvuu7z22mu4XC5aWlp44403uPbaa9m5cydKpXKtDkHiI0olMSW5+UlIXGKIVuXRaDRnz55Op3N25UajEa1Wu+HzoEREe/b8/KtkMolcLs+FKQuCUCCiNvLxXooolUosFgvJZJJAIEA6ncbdUsOeT29iuHuapbkgKo0ChSxT4C6XTzqVZnHaT2NnLYJCTiISJ3qO+aul2QD2GgN2h5HZ0aWKawGWZvy0bXURj64QXC7f6gaQWklhsGhJxhOkkumSlaZ8oqE4JpMak03P0jlcB8OBKLVeG2QyhHyRsnbvALFwnFg4RlOnk6WZQFnDCXHt8kyAbR9vITCfDcyttA9LM368nU7qm2voPVTeDCQSyNqZ1zZW0bDFxdipyYrW54tTPsxVBpq2eVBrlUVW+SIr8SQLk8uotSq+87/u4Q9uu3xDCynx7yCVSrG0tHRJ3vgRfz9TU1Po9XoymQzz8/OYTCbcbjdKpZKTJ08CcMUVV1BXV8fk5CTDw8Ps2bOHPXv25DoSNvLvWmLjIVmjS0h8hMlkMgVW5aFQqMCG91K0Z5fL5ej1elKpFD6fj0gkUjL/Ssx12ejHu1GRyWSYTCbUajWBQKDAyQxAb9TwsRu3IhfkpGIrjJ3DAQ+ygbYNrdUICgHfOSo8AK4GOwOHR2jb5WF5PlgyW0mkbYeb3oPDhH0R2nZ58c0Hi9rXRGrqLSxMLDE/sYxCIcfb6SyajRKRCzI8zTUMn5xkadpP89Z6kGWDfEvRtKWOoePjLEwsYzTrsiG2ZTKxVBol1U4zg0fHyKTStO7y4FsIla3YNW+vp/+dYUK+CK27vCTiybJzT1qDGrVWycCRERq31qPRqSoG/ta1VNOzf4Dqeiu1jdUszRbPrYlYHWaWJpcJLoZo2ekhuZIqeT7qWmr4j49+neYdG3eWVyaTYTQa0ev1+P1+wuHKrpAbjdXC59e//jU//elPMRqNtLe309vbi8/no6OjA51ORyqV4siRI3g8HtxuN5s3b2b37t243W4g+5kmzUZJXGwqiSmpzU9CQiLXHpjfIri6PbDSPNJ64f249InHLLYHrp6/utTaIdcbohFIOBx+T61Mw91TPPzXzxWYSZSidbuL/sPZlrC2XV5G++dKmlPAGROJvLDd2oYqMjKKZq8AXE3VzA7P5zKWABxeG3KlwPRwobGE3qxBpRRyJg8ijVtcLM8Xt/G1bnNx+nBhG5tap6J1u5fud4cLBJun3cFk/2xR+13DFhdBf4TFPGMNpUaBs97KWM90wVprrRmb08Lg8cI5rpYdboaOjRW4F6q1Klp3NjDYNVZQTTLZ9Wh0KmZHzv4+ZDIZTdvdRAIxZvK+jwzaL/PmZp5EqlzWbEvfifGCkOHm7W7Ge6YKRJygkNO4zU08usJ4X/Z4dn16M9/42zvQGjRsVFQqVS7j7lKfjQqHw+j1erq7u3n55ZcxGAzU19eze/du/vZv/5b/8l/+C3q9npmZGV588UWMRiO333577vGSwYTEWiLNTElISLxv8u3Zxfmr1fbs6ykw8ny49InHLP6TyWQF81fr6Xg3Kh/GCGQlkeTph97g1z87ULKyUu2y4J/1F7TUWR0mjHYDY6fnVq01E5jxFwkthVKgeaeb/uMTuecw2fSQShFYLK4YiKYQQ6cmWYmnEJRyat1WJk6XrqJp9Cq8m1z0Hx8jk4b2XdlqVzlqG6pQapRM9M9R31LDwsRi2RY5hVKgZaeHkd5pUsk0dR4bo93lP8ddrQ5kcjkT/bO07fLQf3ikbKVNb9bibncydHICo1VHOpliabp0ZUkmk9G4rZ5EdIW58SXc7Q4Gy5h7ABhtelytDsZPz+JuddB3cKji68LZVM21d17JDV/9gw3b6nWpz0at5plnniESiXDNNddgtVr5xS9+wS233MKjjz7KFVdcwYkTJ9i1axcf+9jHgOz1Z01NTZFluoTEWiGJKQkJifPCant2pVJZlAV1sfv8L7RLn5h/JVax8it2a3G8Gxm9Xo9KpfrQRiCDXZP8f3/zfEGVSqVRYLFqc5bp+chk0LrTy9jgPLFwAo1ehVGvKmsHDuDw2hFUAnOTPmqcZqZK2IznY3ea0Vt1KFVCWVfAfJyNVVS7LJz4/bnNKWQyGZuvaWZ+bPE9zXZZa0x4Ohyc+P3psuIon+2faGdmeKGgylSOxq0utAY1/UdGK9qeQ9b63N1aSywcY/hk5TwwpUZBwyYnMmQEfVGmB+dKrtMZNXzj7+9i53Wd59zX9cqlWI0S26hXO+uJX09NTXHs2DEGBwe55557+PWvf43dbmf37t28/PLLHD16lM2bN3P77bcX5DNK1SiJ9YIkpiQkJC4Yq8OFL5Y9+1oG7+a3B+bnX12KdvTnA5VKhcFgIBaLEYlUNm54ryRXUjz/k3288C9vkUqmsy17xyqLGHOVAbvLCqk0QxVCYkXkgoytH2ul952RisYNIu2XeUgmksxNLBMoEyor0rzFxUjXOM07PEwOLxCuMGtkd5pZicSIR1do3FrPYNdk2eBhpVqBu7maweNj1DZUY7Ib6K9wXtovb6D3wCAymYyWnR6CSxFmx0rnfHk765genCUeSeSc9MZ6pktaxFe7baQTyZz1uaOhCnO1kaGuwpY+AHO1EZ1eVSCgXK0O9BYdw3nH6mpz8Of//KfUNlaXPZ71zKVajeru7mZycpJPfOITuQ6GUhXDcDjM7373O3p6evj0pz/NoUOHuOeee0in0zz//PMolUpuvfXWDVttlLi0kcSUhMR55Oc//znd3d0YDAa+973vFf383Xff5Xe/+x0AarWa2267DZfLdbF3c82QyWQF4kq0sM2v5nzYeaT1FrybP3MmuiRK81fZtkmDwYBMJiMYDF4QkTk5NM9L//tt9j1z9D2tb9/pJnEmKPdcFuTtuzz0HhrCXG2g2m1n8ET56krrjnpOn8l70uhVeDe76D82XjB/JOJuczCdN/ekNajxdLoYOD5e5MxndRjJrKTwzZ11+LPUGKn22Ok/Ng55LyulRoHTY2P0VOF+utudqDQqhk4WCsj23Q30Hhws+J5MLqN5h4fgcpi5vCpYy043Q8fHSa0UCiG1TkXD1npmRxZz++jdVMfc6ALREiLLYNFR31HLzJn19W0O/HMBgoulfxdaowZPZx013mrufuCWDZsfJVajYrEYgUDgkno/eOWVVxgdHeXKK69k69at51z/r//6r8zNzbG8vMw999xDQ0ODVIGSWPdIYkpC4jwyODiISqXi8ccfLymmhoeHcTgc6HQ6uru7+fWvf81f/uVfrsGerh/EVjmxRVChUBSJjfdSWdpIwbul5q9EISn+fymj1WrRarXv2WDiw5DJZPj900d58u9/U9FNrmlz1gUvk8lkRcAWFwPHJkoKnuZtrqwDXt5rzNtZRzScYH7SV7C2odPJWPdkkRCqdlvRW3SMdJ81gHA2VrE8uVTSmc5eZ8HiMOVEm7nagECm7GySw2tHb9ExdHIKlVaJo97CWIUZKXeHE7kgMNY3TcfuRnoODJRdm5t7iq1gMOvoO1R5jklQyGnc6kajV9Gzf7BIdK1GLsjZdm0bwcUwg8dHC0Th6nW3/cfPceN9n6q4vfWK6NSnUqlYXl4ucqw8n/T09LB3714ymQxXXnkl119/fcHP33rrLfbt24dMJkOtVvOFL3yB2traD/x8ogCKRqM8//zzZDIZPvGJT+BwOEpWp8T18XicQ4cOsXfvXu6++2527dpVtEZCYr0hiSkJifPM4uIiDz/8cEkxlU8kEuEHP/gBf/M3f3OR9mzjoFAoCuavxCyofLGRSmUvyOLxOL/5zW+4+uqrqamp2bBzSgqFItceKLbD5LdEise7kVEoFBiNRlZWVgiHwxdV8IZ8Ef7tH37HG3uPFM0KOTw2lqd9Re16NW4bOpOW0d6Z3PdczVXMjiyUbKUTFHJadnkZPz1HNBTH2VTF4vhiWcdAyDrtRcMx0qkMUV+kZFhtPq5WBxqDBt+sj8VVwq3k9je7MFi1dP3+9DnXCko5m/Y0E/ZFzjnHhAw6djcS9kdQqhUMdU2UFT0AHZc30ntggLoWBwarjqETE0UtfXDGtOOyBvrOVMWsDjOOxuw5X85zQDTaDXzrR3fTeU3rOY9rPXIxq1HpdJr/9t/+G/fffz8Wi4Uf/vCH3HPPPQViKRaLodFknQ9PnjzJvn37uO+++z7Q84liSRQ/g4ODvP7663g8Hj75yU/m2p9XCyrxe2Jshd1u/+AHLSFxEakkpiSbFAmJC8iBAwfYtGnTWu/GukQ0bxBnaMRWOVFgGQwGAN58801eeOEFrrvuOqxW64YVUnD2mPNbE0VhJYYLb+T5K4PBsCYzbLnnt+j407++iU98/jJ+9j9eYuDY+Jnva4mHYiXnnubGs61sTdvqCSxFyGQy+GYDZWeSUsk0fYeG0Zu1dF7ZwHjPdEUhBTBychJ7nYUal4Xp8LmrdMGlELFQFINFh0qrZHqgvPmFzqghHo0zfGKM+vZalCpFWZGk0iqpa6rm5JtZ0eVqcaAzaRg4Pl4kPpVqBQ2b6ug9cLYNsNpto6rezvDJsYLKmkqrxN1aQ++ZStfUQNbJUG/W0rzTw9KUn/kz51lv0WJ3WnJCCmB51s/yrB+ZTIZ3swuVVolcJuO+f/gS9jrrOc/XekOsRimVygtejRIZHR2lqqqKqqoqAHbu3ElXV1eBmBKFFPChqsWi2QSQqyI1NzczOjrK6Ogo3d3dbNu2reTsk5jrJwhCTkhJ1SiJjY4kpiQkLhD9/f0cOHCAP//zP1/rXdkQZDIZEolE7sJjenqap59+mtraWr773e9is9lQKpW59sD8is5GZvUx5M9fabVa5HJ5zp79fMybXQhE8SuGQq81DZ11/Oef/nsO/KqLpx98DUGAyf7S7nAiQycmMNn1eNocDHWdo2JD1oZ8qncalVKgeVs9gxUMLczVBtIrSXoODKJUK2i/vIGJ/jnCJSpUJrsBlVpgfnyJhTNug03b3MQiCaaHCkWVwapDb9Qw1Z8VLxN92epaXUsNWqOWweNjuUqS3qLDUmVgJE9oTZ4RPbZaM9VeO6OnpoiF4+gtWix2I/2HRwqeb358ifnxJbQGNZuvamVx2kcsEkenV5W0Pg/7o/SdEWPuTXUYrXoWJpcZ6y59fjOZDKOnJvnkF6/i7gf+GIVq412i5Fej5ufnL9rfqt/vx2o9KzwtFgujo6NF6958801ef/11UqkU3/rWt97384hCCOC1115Do9FgsVjYtGkTe/bsYW5ujp6eHhwOR8l2v3whJiIJKYmNjvDAAw88UO6HwWDpRHUJiY860WiUI0eO5DIxVjM1NcVjjz3G17/+9YIPOIlzE4vFePHFF3nrrbe4+eabufLKKwFyF+rxeJxMJoNCoUCn02E0GlGr1SgUCuRyOZlMZt2JjfeLKJ5isRjRaJSVlZWcsYder0en0+WMLoA1q17J5XJMJhNKpZJAILDuhG19q4NrP7+LRGyF4a7Jki1nIkqNAluVgcGjYyhVAk3b3fjnQ6RLWIvrTVq0OhWLUz4iwRjLM37qmquxOS1FphYmmz4b4DudbddLp9IsTvqQy2W07PQSDcVyVTBzlQGlUp4TUSLLswGCS2Eat7jQW3UEF8OYq42o1QrmRoud94JLYZZn/FS5rLjba5EJclQqgZnh0tbn0VCcxcllFEqBjj1NqJVCxdmrZCLF/Pgi5io9RosOrUFDYDFYcvZMpMZjY+j4GPFwnKbtHgwWHf6FwmsMlUbJV37wBW7+9qeRCxvrAlsmk2EymdBqtfh8vvPmWvlemZmZYWFhgS1btgDZzyC/309nZ6GFvNfr5dprr8VoNHLw4EG2bdv2nrYviiKZTMbExAQ/+tGPmJubIxKJ8Jvf/AaHw4Hb7UatVtPf308ikcDr9Ra8J8tkMuRyOZFIhF/+8pfo9XpsNtt5PxcSEhcCo9FY9mcb77aPhMQ6Z3l5mUceeYQvfelL1NTUrPXubDi6urpwOBzcdNNNJe9Yiq1y0ehZo4H89kC9Xo9cLi+qXm2kdrnVpNNp4vF4QWuOOHul0+ly8wkXc/5KNJgIhUIXpY3pg6JSK/l3X7uWaz+/m+ceep1XnzhEcpU5glyQUd9YxXBXtroUCcToOziEpcZEtdfO4PHxXICvRq/CbNMxtSoHaWog+7Vnk5MMMsZPz2K06lBrFLkWt3zikQR9h4bQ6NV0XN5AYDFMLBxjYbJ89pW4f5v2NAIyeg4Mll0LsDCRFUgqhYCt1kI8kiBQxjUPoMZtZfjoCJFAjIYtLgRBYPjkRMmA5JZdXkZOjOWEoM6koXGbh9ByKHcuIOsO2HllKyf39eW+d/qdbEixpcZEbVM1/vms0+N3/ulP8XRuPOdTtVqN0WgkGo3i8/nW5GaO2Wxmefnsa8fn82E2m8uu37lzJ08++eQ5t+v3+9Hr9bnw3GQyyUsvvcTll1/OZz7zGQB++ctf8swzz+B2u2ltbWViYoLh4WGOHz/Orl27SKfTuWrUwYMHefrpp9mxYwfNzc0f5pAlJNYNkgGFhMT75NFHH2VwcJBQKITRaOSGG27IXbhec801PPHEExw/fjxXkRIEge9+97trucsfOUQnvXyL9tWzSMlkcsNXsPKRyWQF5haCIBS1RJ4PQSkaTCQSCcLhyllK65GFyWWefvBV3n7ueK6S0rrdRf/h4pYokSqXFUutmbG+GRwuC+N9M2XXirTu8qJQCfQcGDrnWpvTjCCXYa01Mzu6WGCDvpraxirCS2GCS2FqvHYsNSaGTowXCUQA72YXcyNnLcoFpUDjNjexcIyJ07NF+zt8bLRoO+ZqI87mGubGlrKugjJov7yR3v3lnQAdDVVYnWZ8swHUWlWRVftqLvvsFr7+w7vQmbQV16038mejfD7fmt5USKVSfP/73+eb3/wmZrOZH/7wh9x99904nc7cmvn5eaqrsxldJ0+e5OWXX6742SS6A37nO9/Jte/dcMMNjI6OUldXh0aj4bHHHmNwcBBBEHA6nXz1q18lHA7z1FNPsWXLlpxTXzgc5rHHHmN2dpY777yTtra2C3tCJCTOM5Kbn4SExEceQRAK3AMVCgWpVKqgmrORzS1KIZfLCwRW/vzV+xWUYuCoQqEgEAhseOfB6eF5nnnwNXwzPnoPnlvwKFQCzdvdpJJpBksYNuRjtOrQ6FTMjS1S3+5EqVEWzCrlU11vJR6O51reBIWcpu3ZnKfVbXmeDidzowvEQoXmAUabHlebg+mh+VybYfvlTQweGSkpsgBqm6oxVxkY7ZmiYbOrojiC7O+/aUe2Pe/UW/2sxCq3dNa11BALxTDY9GgMGiZ7ZwgHCm3rBYWcL/31n/D5v7ixKOx7vf8t5lejgsHgurgx093dzdNPP006nWbPnj185jOf4Ve/+hUej4ctW7awd+9eTp8+jVwuR6fTceuttxaIrVI8+OCDhEIh5ufnuf3227niiisASCQSPPbYY6TTab72ta/R1dXFI488wm233cbVV19NJBJBp9MB2WvJRx55hMbGRr74xS9e8PMgIXEhkMSUhISERAlEkSGKrNUXdBu9PbAUYuaXKLLy86/KXcSq1Wr0ev26CUk+n0wNzPHc/3qVg786UXbmR6EUqG9z5NrsqlwWbHXWbIjtqmwpk12PSl3c2udoqMJUZWSoa4L0mcfUNlYTXAiUtUr3dNahUAoMdU3QtNXNePdkWZdBOCvETHYTR37Tdc4LfKVGQUNnHcggGowz0Tdddm1VvRUyWRMKtS4bShyPJrJVp1VP03Z5A0PHxnKhxJCtink21aFUK5nom0WtU/GtB++mfc/ZVq984b8WravvhfVUjboQiM56yWQShULBj3/8Y/r7+7nlllu45pprcusWFxd59NFH+frXv47BYOC1115jdHQUu93OTTfdVLBN0dHQ4XBc7MORkDhvSGJKQkJC4j2w2p5dqVQCFAms9XAX+nxS6iJWvHhVq9Wk0+l1c/f9QjEzssCLP36dt585WlDNUSgF6ttrGT4xXvQYc5URZ3M1o91TxMIJzNVGFApZkYFEPpYaI7WNNcTjK0wPzBZVmUqx5WMtJOMpxrqniATLi1lBIad9dyPd+/up9tixOS1M9M0Q9hcHGZurjegM6pyNOUCV20Z1vZXp4QX8ea2GDdvczAzO5doF8zFVGahrriG4HGF2ZIGm7W5OH6o8y7X12g6+8T+/hLmq/EC3SP7rMv+1KQr/iymw1mM16nwhmkSIc6qimIrFYuzfv5+jR49y++23U19fD2TdVp944gmqqqqIRqMsLS3xZ3/2Z7lICwmJSw1JTElISEh8QMRKjiiu8u3ZN0pL0vtFbOlTq9WkUqlcOOelLChFlmb8vPy/9/H6E4dIJpIFFalyaAxqWnZ6CCyEKrrgiTRurWdudBFXmwPffIC50WKDCpGOK87OJ6k0Shq21BMOxphcNfOkM2mo8dgZ6SoUfQqlQMPWelIraUa6p8ikM9S11BBcDBFYKO3YK5PL8GyqQ61TZee+3h485+/b6jRjrTGi0qgILIaY6i+eK5PJZdzy55/llr/47Ae2wxZveIg3AC7UbODq5zSZTCgUCpaXl9eda+X5pL+/n2effRa73U4mk+Hee+9FEAQefPBBqqurufHGG9Hr9QD09fVx8uRJAG699dbcNqTcKIlLEUlMSUhISJxHFApF0fzV6urVemhJ+iAolUqMRiPxeLzAYEI09RAvYj/M/NVGIBKMceD5Yzz34O9YmvFXXFvjsREPxbP25dvcJGIrjJdpmWu9zMvQ0bGC9kBPZx1KrZLhvBZAuUJO89Z6+t8dLrkdR2MVlhozk32zqA1qBDnMjRXbpOdjrjbSsLWe+bHFIgQXH+oAACAASURBVDG2Go1BjaulhtFTk3g3u5DJ5Yz1TJEoEVDcuK2e2eF5InkzURaHCUdDNdFglPHeaYw2Pff/6B62fLy94vN+ECq9Nj9sNlt+NSoQKG8MshFZnQE1NDTE448/zic/+Uk6Ojp4+umnkclk3HHHHYRCIX784x/zuc99jsbGRg4dOsT27dsLLjBLZUhJSFwqSGJKQkJC4gKSH7QriiyZTFYgrtZ7NUesRgmCQDAYfE9iUKzaiRey72X+aqORSqZ459ddvPK/32LgaLHjX11zNf65YFEAb21TNaYqAyOnJnMCpOPyxopmF1kjiVp8CwHUKsU5XfAAvFvqUakVJBNJRk5NljXGkMlltO1upPeMnXptUzWWGhMzwwv4ZgvFYrXHBpkM86vEmUqjxN3pQi6XMdY7TSK6QvsVjfQdqFy52vnpLXzlB1/AUmM65/GcLwRBKGhfFV+b7zXs+1KvRpUSPi+//DLRaJRbbrkFgJ/85CdMT09z//33U1VVxauvvsrp06cZGRlh27Zt3HXXXbnHStUoiUsdSUxJSEhIXGTy7dnFCtZqe/b1coGm0WjQ6XTnxWCi3PzVpWDoMdw1wW9/9jYHXzhOIraCd1Mds8PzxMLl5540BjXezjpUOiVdr58+53NYHSaUKgG1ToVar2ase7JkNQigdbdo9JAVvka7AVerg+BSYdaTzqih2mNnpES7okwmw9Vei8GsY3pojmq3lfGeKeKRysYK1lozzmYHyZUk04OzBBeLbfLPR1vf+aSc+N+3bx92ux2Hw4FCochVoyKRCMFg6VbIjcrqatT+/fuxWq24XC6OHTuG3+/H4/Hw1FNP4Xa7+fKXv5ybpZLL5SwsLJBKpXJmEqu3JyFxqSKJKQkJCYl1gCg08uev1rI9UBAEjEYjqVSKUCh0QSpnlWZcNkLFrhRhf4T9zx7jtZ/vZ7y3vAMeZC3VvZ11DB4dxdXqwGDVM9ozXdJ4wtVag38+SDAvWPesc94K4z2TZDLFVaZSVLltVNVbSURX8M8HWawQBgzZ4OK2yxsJLYcxWHTMjS2yNOUrudbTWYdvLkDgjA27TC7D1VqLwapnaWaZuZFFLA4T9//DPXRe01rxedcahULBW2+9xcjICJOTkygUChoaGnA6ndTV1VFTU7MuhOD5Zn5+noceegiz2UwymUSr1aJSqVhZWWF0dJR77rmHzs5OAJ5//nm8Xi/btm3LPX61YYWExKWOJKYkJCQk1imrq1cXy55dr9ejVqsJBoMXvUImVu3yW7Dy56/WS8XuvdB3aIjXnzjIOy+dKKog6S1arDWmIstxlVaJd7OLlXiKkTPW4s07PYx2jVe0Prc6zDhbapALMk7+/txVrpZdXsZ7JrE6zFhqzSxO+ZgfKza7MNkNmKsNjPcUfuY7m2swV5vwz/mZHpoHGXRc2cLpQ0NlbeQBrv6T3XzpgT/GaNs4zm4ajQaDwcDS0hK9vb2MjY0xNjbG3NwcOp0Ot9uNx+Nh27ZtG15A/Pa3vyUWi6HT6fjUpz7F/Pw8XV1dvPjii3R0dFBXV8e2bdswmUz84he/IBAIcM8991BbW7vWuy4hsWZIYkpCQmLN+fnPf053dzcGg4Hvfe97ZdeNjY3x93//99xzzz3s2LHjIu7h+kAmk+WElSiyVrfKfRizB9FgIhaLEYmUzjdaC0q1YOUf73qfv4oGYxx44Rj7/u1d+g+PUFVvJZNOn7MiZK420rjNzfTQPDODcxXXVntsZFJpFiaWqPbYsbusLE37mRstnG2SC2LlqjiIt8Zbha3Ogn8+xPTgHJ7OOpZnfAXVsFLUtTqw11kJLoWZ6JsuyJASEZQCt/3HG/ncfZ/aMK1fcrkco9GIIAj4fL6SQj4cDjM2Nsbk5CTXXXfdhjm2cuzbt4+nnnqKm266iU996lNkMhlisRg/+9nPkMvltLS0cOTIESB7AfmFL3xhjfdYQmLtkcSUhITEmjM4OIhKpeLxxx8vK6bS6TQPPfQQCoWCPXv2fCTFVCny7dlVKhUKheJ927OLYaNyuZxAILAhZpfy2wM30vzV7MgCB184xu9/ebBI6OSj1CjxdDgZOJI1tqjxZrOhFiaWirKqmna4mTo9U3I+K/s4K775AGF/FGuNibHuc5tXbPl4OyvxJLFInIm+KVIrpc+np9PF8ow/Z6Wu0iqpb3ei0iiZH19iadpHjdfOtx68l6Yd3nM+73pBrEZdirNRlchkMjz00EN4PB6uv/56NBoNyWSSp59+Go1Gw0033UQsFmNlZQWjMZsFJhlMSHzUkcSUhITEumBxcZGHH364rJh6/fXXEQSBsbExNm/eLImpCqy2ZxcEochJL5VKkclkOHz4MOPj49xxxx3E4+cOiV2v5Lsmii2R633+auDICAeeO8rBF47hnz97wW6tNaHWqpkuU41ytdZishuYn1ykqs5K38FzZz25O5yk0xmMNj1hf5Tx3iko8RC9WUe1x8bw8bOZVBq9mvp2J3KFnJmhOYJLYWRyGe2XN9F7cLCsSyDAZ/79H3Dbf/p3aA2ac5yN9YFcLsdkMiGXy8tWoy51/H4///AP/8Att9zCpk2bUCgUPPLIIzQ2NvLJT34yt06ajZKQyFJJTCku4n5ISEhIlMXn89HV1cW3vvUtxsbG1np31j1i65vYqicKDZVKhUajQalUMjk5ySOPPILb7ebmm28mkajs0LbeyWQyJBKJguPId03U6/UF9uzi/2tJy64GWnY1cNdf30zvgUEOvnCMyb4ZJvtnWZoqn1812T/D8owWR6Md36yf9j1NLM8GmB2eL7m+48pm+t8dLsivMlh11LXUkkqmmOibJh5JUN/hJLgYKhBSALFwnIEjI0D2tdS804verGVxurQJBWQF2L3fv42P33bF+zgja4tGo8FoNBIOhz9S1ajVmM1mrrvuOh5//HG2bNlCNBpldnaWG2+8sWCdTCbb8G2NEhIXGklMSUhIrAuefvppbrrpJukO6AckX2gkEgl+85vfMDAwwB133EFLS0uugpVfyVkPYuPDkk6nicfjBRU3hUKBQqHIXThnMpmCqt1aBCrL5XI6r26l8+pW0qk0vQcHeedXJ3j3pRP45orDYJ1N1SSiCYaPZ28szJwRUfY6K9UeG5FAlIm+adQ6NXUtjpLOfqHlCKffyeZaCUqBbZ/cRDySIBasbH/fuN3N9NBcLjtLZ9JQ11KLoBSYG11gecZP0w4P33zwXmobqz/UeblY5FejFhYW1v0M3sXgqquu4siRIyiVSjo6Oti9e/da75KExIZEavOTkJC4aFRq8/uv//W/5tqYwuEwKpWK22+/vcCOV+Lc9PT08MILL7Bnzx4+9rGPFYnTfHt2cf5qLe3ZLxb57YGCIKyb+SuNRsPYySle/7f9vPvrE0wPztG2u4HhE2MVnf0AvFtcaPQaUskU0/2zhAPRkusMNh1VdTaGT5ytRtldVqrqbazEV5g8PUM8kkChVtC800tfBct1mVzGbf/pRj5333UolELZdesJcTYqHA4TClU22vio4fP5+Md//Ee++MUv0tjYKOVGSUiUQZqZkpCQ+NCcjwHkc81MiTz++OPSzNQHIJ1O8/zzz3PttddisVje02Py55Dy7dlXV6/Wq9nDB6XU/JVozy4e84WcvxIEAZPJxMrKSsEF/szwHIdfPsnR35xk4HBh214+bVc0MXhkNOeqJxfk1LU6MNj0BBdCTA3MAuDZ7GJ52pfLhCq5L0qB9j1NCAqBpSkfk/0zJWet7HVW7vvRl9h01frOjhLJr0YtLy9L1agy7Nu3j66uLm6//Xbsdvta746ExLpEElMSEhLnlfdz91IUYY8++iiDg4OEQiGMRiM33HBDrgJyzTXXFDxGElNrS/4ckvj/+bRnX68IgpCr3In5V6tNPc4Her0elUpFMBisuM2wL8KJN3o5/rtTnHi9h+BSGK1RQ12zIzffVA5TtYGmbR7CgWjWUGIxXHZt+55mho+PkYhlWz51Ji3OFgdKpcDitI/5sUX23LSTr/zgC+gtug90zBcbscUzFApJ1ahzkMlk+Lu/+ztuvfVWvN6N48YoIXExkcSUhITEh+KNN96gvr4epVKJ3W5Hr9cDhaJKrFxIA8uXJoIgFLgHKpXKIqOHS/HOf764Eu3ZP+j8lUKhwGQyfaCMr3Q6zciJ8eys1QvHGDw2VjY41+Y0ozPrmOjNhgXLZDIcjVVYaszEI3Em+2dIRFfQW3Q4GqoZOjZa9nm1Rg1f+R9f4Ko/vux97e9aIVWjPhipVApB2BhtmxISa4EkpiQkJD4UDzzwANXV1cjlcsbHx9mxYwef//znkcvlJa1zxQ/mZ599Fq/Xy9atW6UP6kuQ/PZAlUqFXC4vmr+6FNsD8wWWIAg5U49KLZEGgwGFQkEwGDwvM2lhf4RT+07T9UYvJ3/fx/xYNs+qdXcjE33TRCuYTChUAp3XtJFOpvAvBJnsnyVdop2w7fIm7v/Hu6l2b4zWL61Wi8FgkKpREhIS5x3JGl1CQuIDI959r6ur44//+I/x+Xw8/PDDDAwM4Ha7eeuttzh69CjxeJxdu3bx2c9+NiecTp48idfrLRBSovgCcgJMrHAFg0F0Op0kvDYIomDKt2cXK1dimxVQJLA2cntgfrujiFwuzwksrVZbMH8F2ZazaDR6Xi/w9WYdV9y4gytuzLbCzo0u0HdoiKO/PcnMUOnsKsgKqZZdXrpe6879HlRaFXUdTjQGDaHlMHOji9z8Hz7LTX92/YZw1xSrUTKZ7II79fX09LB3714ymQxXXnkl119/fcHPX3vtNQ4cOIBcLsdgMHDnnXdis9ku2P5ISEisPcIDDzzwQLkffpQzGCQkJLIsLCwwNDTEzTffjFarRSaTsbS0xOnTpwmFQpw4cYKvfvWreL1eTp06hUwmo7q6mn/5l39hYmKCRCKBTCbDZrOhUChybYCrWwFlMhnPP/88J0+epKmpCaVSuUZHLPFhSKVSJBIJotEo4XCYWCyWq1SKAkur1eZMH4ANX73KZDI58RSLxYhGo6RSKXQ6HSqVCqDA6ALO/zHrLTq8m13suWknN95/Hbv/cBu1TdUolAL++SDJRJLapip0Rg0jXRMFj00lU/jmAixMLGGw6vmrx+7jyj/atSHadbVaLRaLhWg0is/nu6CvpXQ6zT//8z9z3333cf3117N3716am5sxGAy5NclkkhtuuIFrr72WRCLB/v37pdlPCYlLAPHmYCmkypSEhERFRkZGqKqqQqvVAqBSqYhGo4yOjqJQKLjmmmswm82YzWaWlpY4cOAAl112Gbt372ZqagqdTseBAwdQq9U0Njby0ksvodFoaG1tpampCUEQkMlkuYtwq9WKTld+yD0ej5NIJCq+sUmsH1KpFKlUiljsbNuZQqHItQZqtVoEQciFEF8K9uxqtRq9Xk84HC7Kv1Iqleh0utz8VX574Pk6ZplMhndLPd4t9XzuG58inUoz3DVB34F+ut86jX8+WNQGKJPJ+PRXruWO/3wzKs36v5FxMatRIqOjo1RVVVFVVQXAzp076erqora2NremtfWs02FDQwOHDx++4PslISGxtkhiSkJCoiKDg4OMj4/nLvTm5uaYm5vDaDSyvLzMc889x7PPPovD4WB5eZn6+noAZmdn8Xq93HXXXbltjY+Pk06nCQQC/OIXv2DTpk38yZ/8CYIgsLy8TCwWy1l6l3MM7O/v5/HHH+e///f/fhGOXuJCIAqn/PbA/Pkrg8GATCYraA3cCO2Bcrk8FxK8vLxctL/icUej2Tyo/Pkrg8FQMH91Po9ZLshp3uGheYeHz913HelUmtGTE/Ts76fvwCCzo/N86W9uZcsfdHzo57oYrNVslN/vx2q15r62WCyMjpY37zhw4ACbNm26GLsmISGxhkhiSkJCoiyZTIb+/n68Xi/vvPMOTU1NvPDCC5jNZjo6OhgdHeU73/kOsViMvr4+pqamcjklo6Oj1NfXk0gkcq1OLpeLz3/+8wAEAgEeeughTpw4wc6dO5mdnSWTyRRcrKwmnU4zPz+P0+nMfS2aYGyEliSJ0mQyGRKJBIlEgnA4a+Etl8tz81c6nQ6lUkk6nS6av1ovaLVatFotoVCIRCLxnh5Tbv5KFJY6na5g/up8WdLLBTmN2z00bs+Kq42CmM0FXLRq1Afl3XffZXx8nG9/+9trvSsSEhIXGElMSUhIlCUWi6FWq7n66qt588032bdvH52dnXz2s58lmUzy1ltvcfr0adra2ti+fTvbt2/PPXZ+fp49e/YUmEl0dXUxMDCA2Wxm9+7dxOPx3IXh3NwcKpWqophKJpNMTk7icrkAco/Nt2ffCAPzEucmnU4Ti8WK2gPzq1f59uxr1R6YH767tLT0obeXTqeJx+MF7YGCIORMPcS5w0vdkn41YjUqGAzmBPfFxmw2s7y8nPva5/NhNpuL1vX19fHKK6/w7W9/G4VCusySkLjUkf7KJSQkyjI7O4vdbqe5uZm2tjagULDceOONPPnkk8RiMWpqamhtbeUP//AP8fl8CIKA3W7Piam3336bt99+m87OTgYGBtj//7d3L7FR1X0Yx5+ZTm8z7UxLB0rHoZa2KbW0IJfQSsOtIAiGuCAhRqMslIRLolsSF+xMdKEmGmChURKpxrTiCwkJLEAj5lUxQMBUpQykBQq0M3R6o0wvZ95Fc87bOzpCZ2i/nxVwDuVPV/P0d/n/979qb2+3qkzt7e1yOp3Wh5PxKk2RSER3795VTU2NpKEPmcFgUJFIRHl5eWO2A5q/Hr09EE+m0W1ykkasZne5XFO6nt3pdCotLU2dnZ2PNdBMNHc23vzVdFtJP7wa1dbWFtdZuvz8fAWDQYVCIXk8Hl24cEGvvfbaiHdu3rypb775Rrt27WKuE5ghCFMAJtTY2Ci3221tYxtd+SktLdU777yjUCikmzdvWlutUlJSVFhYqK+++ko1NTUqLCzUzZs35fV6tWXLFknStWvXdOjQIeXk5OjBgwfq6uqSz+dTWlrahOfp6upSV1eX8vPzJQ2tIQ4EAmptbVVPT4+ef/55rV69Wna73Wov/DeXCCdS+2Btba0aGhqUkZGhffv2jftOY2Ojjh49KsMw5HK5ZkSLkRkezGrF6PXsbrd7TND4t61ywy/ffRTVqFiMN39lXiyclpb22OavplIiVKOGS0pK0rZt23To0CEZhqHKykrl5eXpxIkTys/PV3l5uY4dO6ZIJKLPP/9ckpSdna2dO3fG+eQAHifCFIAJrV69WpFIxJp5Gl3ZMcNVTk6ONSslDf3EfuPGjdbcQGFhocrKylRfX6/a2lr5/X6dOXNG+fn5SklJUUtLiwYHB60Wv4lCTFtbmxwOh3JycnTjxg398MMPevPNN+X3+9Xe3q6DBw+qpKREPp9PZ8+e1Z07dzRnzhz19PSopKRECxYsGLc6NVH1ymazJUzrYGVlpVatWqUjR46M+/z+/fuqq6vTrl27lJ2dPWOvtohGo+O2yZkBy7w8d3TQ+LuVJbO9sKOjI6E2Dg6fOzOZ81dm1c7cmpmIM2fDJVI1arSysjKVlZWN+DPzB0SStGfPnqk+EoA4I0wBmFBqaqpSU1MnfD48ZIwOHVlZWSMutPR4PEpLS9Ply5fl8Xg0d+5cq6Xv1q1b1lr0iRiGoVu3bmnOnDmSpEuXLqmvr0/hcFjJycmaPXu2FixYoKamJvl8PnV1denixYt68cUXNTAwoPr6em3fvt1qV5SkO3fuyOv1WnMopnA4rLq6Om3ZssW69byhoUGNjY2qrq62ViNPpaKiIoVCoQmfnz9/XosWLbK+h7QY/d/g4KB6e3vHtAeaQcNc9DBZe2AgEFAwGNTatWundIPcv/Gw+avxtibGO7g4nU65XK6EqUYBwMMQpgA8EqOrN2a1x2yzs9vtKi4uVnFxsSRp8eLFVjXA4/Fo/vz5mjVr1oRfv7+/X7dv37Za/O7du6fc3Fz98ssvampqUl9fn+x2u5xOp/r7+xUOh7V06VKtWbNGkvSf//xHZ86cUUlJiXp7e3Xq1Cn9/vvv6u7u1vLlyzVv3jz5fD75/X51dnbq+vXrVpCSpFAopJaWlhGzWInSAigNLfAwDEMff/yxIpGIVq9erRUrVsT7WAnLDA+j17OnpKRYlwvbbDaFw2HV1taqu7tb27ZtGxHInkTjzV+Z7YEulytu81dmNSoajSZcNQoAJkOYAvBYjDerZH4oM4OXuemqpKRkxIILM6gMD2g9PT1qampSVVWVJKmvr08VFRXWMoru7m7dvXtXc+bMUVtbm/r7+1VRUTHi3zeXYfz444+6fPmy9u7dK4/Ho7q6Oh07dkwvvPCCnE6nPvzwQ6Wmpurrr79WaWmpysvL1dnZKY/HY7UzJlKQkoa+bzdu3NCePXvU39+vjz76SAUFBVYlD5Mb3SYXjUZ16dIlnTp1Slu3btXKlSuVkpISc3tgIjP/L6Pnr5KTk5Weni673f5Y56/MalRnZ6cVbgHgSUGYAjBlJpo9MqtYdrt93HcMw5DD4VBZWZmKiookSTU1NTpz5ox+/vlnVVRUKDk5Wbm5ucrIyNDVq1claUSQCAQCWrJkiQYGBnTt2jWtWbPGaonLy8tTY2OjfD6fZs2apaqqKrW1tcnlcikQCGj+/Pm6f/++UlNTdfHiRaWkpKikpCSh1h5nZWXJ5XJZrZlFRUVqaWkhTMWgo6ND9fX1Sk1N1Z49e+RyuaxFEw6Hw5q/Sk9Pl8PhiPt69kft785fDV/NHsv8FdUoANNB4nwSADBj2Ww2dXZ26rvvvtP169etdsDi4mJ5vV7Z7Xa53W69/PLL1t+ZP3++QqGQfvrpJx0/flxer1fr16/XokWLFAwGlZSUZM02DQwMqLW1VUVFRerp6VFHR4cKCgqsrzUwMKC8vDxlZmZqYGBAwWBQS5YsUXV1tSSppaVFTU1N1gruc+fOqbS0VNu3b0+YQFVeXq76+nqrjaupqUlr166N97GeOIZhqLa2VuvWrVNpaemY5+YWPdPwKs7w9ezDK1fTYVX5ePNXDofD2h6YmZmpaDQ6IlhOFo6oRgGYLhLjUwCAGc/j8ejVV1/VtWvXdPXqVZ07d07Hjx9XUlKSXnrpJS1btmzMkovly5dr+fLlkoaqCampqRocHJTdbldmZqa1Zr2trU2RSER+v18DAwMKhUIjFmvcunVLGRkZcrvd6urq0r1796yLgc2/L0nV1dVatmyZqqqq9MUXX+jKlStjNns9LocPH1YgEFB3d7f279+vzZs3Wx9Wq6urNXfuXD3zzDN6//33ZbPZVFVVZd3hhb/Pbrdr165df7uNc3gVx1yYMLyKk56ePu569kTdpPdPmMFy9PyVuTUxKSlJf/31l3777Tfl5+fL7/crOztbWVlZMgyDahSAaYEwBSBhOByOEfNTkkZsTptsBsvcDChJ69evH/FeT0+PCgoKZLfbFY1GtXTpUn3//ffauHGjrl+/rosXL2rTpk1KTU3VjRs3ZBiG/H6/Nbt17949zZo1SwsXLpQ01FLX0dEhl8v1yL8HE9mxY8dD36mpqbFmyBC7fzsPN9EWPbOyaa5XH90mN53mr0yZmZkqLCxUc3OzdVF3dna2/H6/8vPzNW/ePDmdzjieGAD+HcIUgIRmXgQsjf2QO9kM1vB3i4uL9fbbb0saWve+YcMG1dbW6sCBA8rLyxuxSbCjo0M2m81q3+vr61NnZ6cyMjKsSlc4HFZPT8+I6hUwmUexnv1JlJaWprKyMj333HMyDEPt7e1qbW1Vc3OzGhoadPLkSUUiEeXl5amiokKLFy+O95EB4B8hTAGYdsarYJnbBcPhsLxer9566y1JQ5v9AoGAFaZycnKUkpKiAwcOaN26dZo9e7a6u7uVm5trfb3m5ma53W7r8tdEuNQXT57x1rObyy3MOaTh75lB61Fu0nvcxpuN8nq98nq9Wrp0qaShoHn79u1p0foIYOYhTAGY9oaHnebmZp0+fVqlpaVKTk7WyZMntWbNGj399NOSpIKCAr3xxhs6f/68BgcH1dfXp/v374+4ULixsdG67wp4VKLR6ISX7JrLLcwAn+jr2R0Oh9xu99+ajUpKSpLf75/C0wHAo2OLTvIjrpaWlqk8CwA8dsFgUKdPn9bVq1eVlJSkFStWaOXKlSMWUow2ODgowzCUnJwsSfrkk0+0cOFCrVu3LuEu78X0Z65nN6tYSUlJY+av4rnYweVyyel0sqkPwLTh8/kmfEaYAjCjjReGht97NRHa+5AozPXsZrhKSUmRzWYbsz3wcbcHmtWowcFBhcPhJ37eCwBMk4Up2vwAzGjjVZXM+aqJPCxoAVNpokt2zXDldDqVnJwswzDGLLh4VFwul9LT09XZ2TliyQYATHeEKQD4h2jrQ6IzDEMPHjwYcQeUw+GwKleZmZlyOBxjwtU/bQ8cXo1qa2ujGgVgxiFMAQAwA5iX7I5ez27OX7lcLtnt9hGzV5OtZ6caBQCEKQDADFFbW6uGhgZlZGRo3759Y5739vbqyy+/VHt7uwzD0Lp161RZWRmHk04dMzD19PRIGmoPNANWWlqa3G63otHomNbAzMxMqlEAIMIUAGCGqKys1KpVq3TkyJFxn589e1a5ubnauXOnuru79e6772rZsmXWBc4zgWEY465nN6tXGRkZSk5OVjgcphoFACJMAQBmiKKiIoVCoUnfiUQi1n1PTqeTRSMauhqgt7eX8AQA4yBMAQAgadWqVfr000+1f/9+PXjwQDt27CBMTbE//vhD3377raLRqKqqqrRhw4YRzwOBgI4ePaqWlha9/vrrevbZZ+N0UgAYQpgCAEDSn3/+qaeeekp79+5VMBjUwYMHVVRUpLS0tHgfbUYwDEN1dXXavXu3srKy9MEHH6i8vFxz58613snKytIrr7yi06dPx/GkAPB//MgNAABJv/76qxYtWiSb0BqNWgAAAi5JREFUzabZs2crJydHd+/ejfexZoympiZ5vV55vV45HA4tWbJEly9fHvFOTk6OfD4f1xMASBiEKQAANFT1uHLliiSpq6tLra2tysnJifOpZo6Ojg5lZ2dbv8/KylJHR0ccTwQAD0ebHwBgRjh8+LACgYC6u7u1f/9+bd682bqktrq6Wps2bVJtba3ee+89RaNRbd26VRkZGXE+NQAgkRGmAAAzwo4dOyZ97vF4tHv37ik6DUbzeDxqb2+3fh8Oh+XxeOJ4IgB4ONr8AABA3OXn5ysYDCoUCmlgYEAXLlxQeXl5vI8FAJOyRaPR6EQPW1papvIsAABgBmtoaNDRo0dlGIYqKyu1ceNGnThxQvn5+SovL1dzc7M+++wz9fb2yuFwyO12a9++ffE+NoBpzufzTfiMMAUAAAAAE5gsTNHmBwAAAAAxIEwBAAAAQAwIUwAAAAAQA8IUAAAAAMSAMAUAAAAAMSBMAQAAAEAMCFMAAAAAEAPCFAAAAADEgDAFAAAAADEgTAEAAABADAhTAAAAABADwhQAAAAAxIAwBQAAAAAxIEwBAAAAQAwIUwAAAAAQA8IUAAAAAMSAMAUAAAAAMSBMAQAAAEAMCFMAAAAAEAPCFAAAAADEgDAFAAAAADEgTAEAAABADAhTAAAAABADWzQajcb7EAAAAADwpKEyBQAAAAAxIEwBAAAAQAwIUwAAAAAQA8IUAAAAAMSAMAUAAAAAMSBMAQAAAEAM/gdUjYdl0JegigAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import multivariate_normal as mvn\n", "\n", "pl = np.linspace(s.petal_length.min(), s.petal_length.max(), 500)\n", "pw = np.linspace(s.petal_width.min(), s.petal_width.max(), 500)\n", "x1, x2 = np.meshgrid(pl, pw)\n", "xx = np.dstack([x1, x2])\n", "mu = s.mean()\n", "sigma = s.cov()\n", "z = mvn(mu, sigma).pdf(xx)\n", "\n", "fig = plt.figure()\n", "fig.set_size_inches(15,10)\n", "ax = fig.gca(projection='3d')\n", "ax.plot_surface(x1, x2, z, cmap='viridis', linewidth=0)\n", "ax.set_xlabel('petal_length')\n", "ax.set_ylabel('petal_width')\n", "ax.set_zlabel('$P(l,w|species)$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bivariate Gaussian spesies Setosa yang dibentuk dalam 3D. Grafik setelah ini menunjukkan pemetaannya dalam dua dimensi." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Contour Plot (Top View)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15,10))\n", "pl = np.linspace(df.petal_length.min(), df.petal_length.max(), 500)\n", "pw = np.linspace(df.petal_width.min(), df.petal_width.max(), 500)\n", "\n", "cmaps = ['Blues', 'Reds', 'Greens']\n", "for species, c in zip([s, ve, vi], cmaps):\n", " x1, x2 = np.meshgrid(pl, pw)\n", " xx = np.dstack([x1, x2])\n", " mu = species.mean()\n", " sigma = species.cov().values\n", " sigma[0,1] = 0\n", " sigma[1,0] = 0\n", " \n", " z = mvn(mu, sigma).pdf(xx)\n", " color = c[0].lower()\n", " ax.scatter(species.petal_length, species.petal_width, c=color)\n", " ax.contour(x1, x2, z,\n", " colors=color, alpha=0.2)\n", "\n", "ax.set_xlabel('petal_length')\n", "ax.set_ylabel('petal_width')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dapat dilihat di grafik di atas bahwa setiap bivariate Gaussian yang dihasilkan memiliki garis pemisah satu sama lainnya (tidak tergambar). Tiap warna dari grafik di atas mewakili satu spesies Iris. Apa asumsi Anda terhadap kinerja klasifikasi dengan algoritma Gaussian Naive Bayes nanti?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pembagian Data" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import LabelEncoder\n", "\n", "le = LabelEncoder()\n", "df = sns.load_dataset('iris')\n", "X = df.drop([df.columns[-1]], axis=1)\n", "y = le.fit_transform(df.species) # mengubah spesies menjadi nilai numerik\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, random_state=RANDOM_STATE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Klasifikasi" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Akurasi: 100.00%\n", "Confusion matrix\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import accuracy_score, confusion_matrix\n", "from sklearn.naive_bayes import GaussianNB\n", "\n", "clf = GaussianNB() # inisialisasi classifier\n", "clf.fit(X_train, y_train) # membuat model dengan melakukan fitting class-conditional Gaussians\n", "y_pred = clf.predict(X_test) # memprediksi data baru dengan menggunakan model yang telah dibentuk\n", "\n", "print(\"Akurasi: {:.2%}\".format(\n", " accuracy_score(y_test, y_pred)\n", "))\n", "print(\"Confusion matrix\")\n", "sns.heatmap(\n", " confusion_matrix(y_test, y_pred),\n", " annot=True\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasil klasifikasi dengan Gaussian NB menunjukkan bahwa kita bisa mencapai akurasi 100% dengan algoritma sederhana seperti Naive Bayes. Perlu diketahui bahwa kasusnya mungkin tidak akan sebaik ini jika datanya lebih besar dan tidak terlihat _linearly separable_." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bernoulli Naive Bayes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dalam kasus ini, kita akan menggunakan data Titanic. Deskripsi dari dataset ini bisa dilihat di [sini](https://www.kaggle.com/c/titanic/data)." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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survivedpclasssexagesibspparchfareembarkedclasswhoadult_maledeckembark_townalivealone
003male22.0107.2500SThirdmanTrueNaNSouthamptonnoFalse
111female38.01071.2833CFirstwomanFalseCCherbourgyesFalse
213female26.0007.9250SThirdwomanFalseNaNSouthamptonyesTrue
311female35.01053.1000SFirstwomanFalseCSouthamptonyesFalse
403male35.0008.0500SThirdmanTrueNaNSouthamptonnoTrue
\n", "
" ], "text/plain": [ " survived pclass sex age sibsp parch fare embarked class \\\n", "0 0 3 male 22.0 1 0 7.2500 S Third \n", "1 1 1 female 38.0 1 0 71.2833 C First \n", "2 1 3 female 26.0 0 0 7.9250 S Third \n", "3 1 1 female 35.0 1 0 53.1000 S First \n", "4 0 3 male 35.0 0 0 8.0500 S Third \n", "\n", " who adult_male deck embark_town alive alone \n", "0 man True NaN Southampton no False \n", "1 woman False C Cherbourg yes False \n", "2 woman False NaN Southampton yes True \n", "3 woman False C Southampton yes False \n", "4 man True NaN Southampton no True " ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = sns.load_dataset('titanic')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15,5))\n", "sns.countplot(y='survived', hue='sex', data=df, ax=ax)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting Bernoulli MLE" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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survived01All
sex
female0.1475410.6812870.352413
male0.8524590.3187130.647587
All1.0000001.0000001.000000
\n", "
" ], "text/plain": [ "survived 0 1 All\n", "sex \n", "female 0.147541 0.681287 0.352413\n", "male 0.852459 0.318713 0.647587\n", "All 1.000000 1.000000 1.000000" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sex = pd.crosstab(df.sex, df.survived, margins=True).apply(lambda x: x/float(x[-1]))\n", "sex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perhitungan di atas menunjukkan:\n", "\n", "$P(male|survived) = 0.318713$\n", "\n", "$P(female|survived) = 0.681287$\n", "\n", "$P(male|dead) = 0.852459$\n", "\n", "$P(female|dead) = 0.147541$\n", "\n", "dengan kata lain, kita akan lebih mungkin menemukan wanita dari para penyintas (_survivor_). Dalam Bernoulli NB, kita akan melakukan perhitungan probabilitas seperti ini untuk tiap pasangan atribut dengan kelas (karena asumsi _class-conditional independence_)." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "survived 0 1 All\n", "alone \n", "False 0.318761 0.523392 0.397306\n", "True 0.681239 0.476608 0.602694\n", "All 1.000000 1.000000 1.000000\n" ] }, { "data": { "text/plain": [ "0.5233918128654971" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alone = pd.crosstab(df.alone, df.survived, margins=True).apply(lambda x: x/float(x[-1]))\n", "print(alone)\n", "alone[1][False] # cara mengakses: dataframe[kelas][atribut]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Untuk Bernoulli NB dengan dua variabel (`sex` dan `alone` saja), maka probabilitasnya menjadi:\n", "\n", "$$\n", "P(survived|sex,alone) = \\frac{P(sex,alone|survived)P(survived)}{P(sex,alone)}\n", "$$\n", "$$\n", "P(survived|sex,alone) = \\frac{P(sex|survived)P(alone|survived)P(survived)}{\\sum_{survived \\in \\{0,1\\}} P(sex|survived)P(alone|survived)P(survived)}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prapemrosesan Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dalam kasus ini, kita hanya akan menggunakan tiga fitur, yaitu jenis kelamin, pergi sendiri atau tidak, dan kota keberangkatan. Transformasi data yang perlu digarisbawahi di sini adalah tentang [one-hot-encoding](https://www.quora.com/What-is-one-hot-encoding-and-when-is-it-used-in-data-science/answer/H%C3%A5kon-Hapnes-Strand)." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " sex alone embarked\n", "0 male False S\n", "1 female False C\n", "2 female True S\n", "3 female False S\n", "4 male True S\n", " sex alone embarked\n", "0 1 0 S\n", "1 0 0 C\n", "2 0 1 S\n", "3 0 0 S\n", "4 1 1 S\n", " sex alone embarked C Q S\n", "0 1 0 S 0 0 1\n", "1 0 0 C 1 0 0\n", "2 0 1 S 0 0 1\n", "3 0 0 S 0 0 1\n", "4 1 1 S 0 0 1\n" ] } ], "source": [ "from sklearn.preprocessing import LabelEncoder\n", "\n", "X = df[~df.embarked.isnull()][['sex', 'alone', 'embarked']]\n", "print(X.head())\n", "le = LabelEncoder()\n", "X['sex'] = le.fit_transform(X['sex']) # mengubah string dan boolean menjadi numerik\n", "X['alone'] = le.fit_transform(X['alone'])\n", "print(X.head())\n", "X = pd.concat([X, pd.get_dummies(X.embarked)], axis=1) # mengubah nilai nominal dengan one-hot-encoding\n", "print(X.head())\n", "\n", "X = X[['sex','alone','C','Q','S']]\n", "y = df[~df.embarked.isnull()].survived\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, random_state=RANDOM_STATE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Klasifikasi" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Akurasi: 77.89%\n", "Confusion matrix\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.naive_bayes import BernoulliNB\n", "\n", "clf = BernoulliNB() # inisialisasi classifier\n", "clf.fit(X_train, y_train) # membuat model dengan melakukan fitting class-conditional Gaussians\n", "y_pred = clf.predict(X_test) # memprediksi data baru dengan menggunakan model yang telah dibentuk\n", "\n", "print(\"Akurasi: {:.2%}\".format(\n", " accuracy_score(y_test, y_pred)\n", "))\n", "print(\"Confusion matrix\")\n", "sns.heatmap(\n", " confusion_matrix(y_test, y_pred),\n", " annot=True,\n", " fmt='d'\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decision Trees" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dalam pustaka scikit-learn yang digunakan dalam modul praktikum ini, implementasi dari decision trees yang diberikan hanya satu jenis. Jenis pohon yang digunakan adalah CART yang teroptimasi. Silakan lihat dokumentasinya di [sini](http://scikit-learn.org/stable/modules/tree.html). Berbeda dengan Naive Bayes, ada lebih banyak _hyperparameters_ yang harus disesuaikan dalam algoritma Decision Trees." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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pclasssexagefareembarkedalone
53maleNaN8.4583QTrue
172maleNaN13.0000STrue
193femaleNaN7.2250CTrue
263maleNaN7.2250CTrue
283femaleNaN7.8792QTrue
.....................
8593maleNaN7.2292CTrue
8633femaleNaN69.5500SFalse
8683maleNaN9.5000STrue
8783maleNaN7.8958STrue
8883femaleNaN23.4500SFalse
\n", "

179 rows × 6 columns

\n", "
" ], "text/plain": [ " pclass sex age fare embarked alone\n", "5 3 male NaN 8.4583 Q True\n", "17 2 male NaN 13.0000 S True\n", "19 3 female NaN 7.2250 C True\n", "26 3 male NaN 7.2250 C True\n", "28 3 female NaN 7.8792 Q True\n", ".. ... ... ... ... ... ...\n", "859 3 male NaN 7.2292 C True\n", "863 3 female NaN 69.5500 S False\n", "868 3 male NaN 9.5000 S True\n", "878 3 male NaN 7.8958 S True\n", "888 3 female NaN 23.4500 S False\n", "\n", "[179 rows x 6 columns]" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = df[['pclass', 'sex', 'age', 'fare', 'embarked', 'alone']]\n", "X[X.isnull().any(axis=1)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perhatikan bahwa ada banyak nilai `age` yang kosong. Untuk itu, kita perlu mengganti nilai tersebut (_impute_). Salah satu opsi nilai pengganti adalah dengan median atau mean." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "28.0" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.age.median()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "X['age'] = X.age.fillna(X.age.median())" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import StratifiedKFold, GridSearchCV\n", "\n", "y = df['survived']\n", "\n", "X['sex'] = le.fit_transform(X['sex'])\n", "X['alone'] = le.fit_transform(X['alone'])\n", "X = pd.concat([X, pd.get_dummies(X.embarked)], axis=1)\n", "del X['embarked']\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, random_state=RANDOM_STATE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hyperparameter Tuning" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best score: 0.8190112994350283\n", "Best parameters: {'criterion': 'entropy', 'max_depth': 4}\n" ] } ], "source": [ "from sklearn.tree import DecisionTreeClassifier\n", "\n", "# Kode diadaptasi dari http://ahmedbesbes.com/how-to-score-08134-in-titanic-kaggle-challenge.html\n", "\n", "clf = DecisionTreeClassifier()\n", "\n", "parameter_grid = {\n", " 'max_depth': [4,5,6,7,8],\n", " 'criterion': ['gini','entropy']\n", "}\n", "\n", "cross_validation = StratifiedKFold(10) # Stratified 10-fold cross-validation\n", "\n", "grid_search = GridSearchCV(clf,\n", " param_grid=parameter_grid,\n", " cv=cross_validation)\n", "\n", "grid_search.fit(X_train, y_train)\n", "\n", "print('Best score: {}'.format(grid_search.best_score_))\n", "print('Best parameters: {}'.format(grid_search.best_params_))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Klasifikasi" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Akurasi: 81.02%\n", "Confusion matrix\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_pred = grid_search.predict(X_test)\n", "\n", "print(\"Akurasi: {:.2%}\".format(\n", " accuracy_score(y_test, y_pred)\n", "))\n", "print(\"Confusion matrix\")\n", "sns.heatmap(\n", " confusion_matrix(y_test, y_pred),\n", " annot=True,\n", " fmt='d'\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ROC Curve" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import roc_curve, roc_auc_score\n", "\n", "score = grid_search.predict_proba(X_test)\n", "\n", "fpr, tpr, thresholds = roc_curve(y_test, score[:,1])\n", "auc = roc_auc_score(y_test, score[:,1])\n", "\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(10,10)\n", "ax.set_xlabel('False Positive Rate')\n", "ax.set_ylabel('True Positive Rate')\n", "ax.plot(fpr*100, tpr*100, label='%s (AUC = %.2f)' % ('DecisionTree', auc*100))\n", "ax.plot([0,100], [0,100], label='Dummy (AUC = 50.00)', linestyle='--', color='b')\n", "ax.legend(loc=4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Dummy classifier_ dalam kasus ini dihasilkan dengan memprediksi data uji berdasarkan probabilitas kelas _prior_ dari data latih." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }