From 4384b1a6bdfd2345fc585247ff49814c5752d66d Mon Sep 17 00:00:00 2001 From: Normando Marcolongo Date: Fri, 28 Jun 2024 09:43:28 +0200 Subject: [PATCH] Updated for 4.2.2 --- notebooks/ITNuggets.ipynb | 1898 ++++++++++++++++++++++++------------- 1 file changed, 1242 insertions(+), 656 deletions(-) diff --git a/notebooks/ITNuggets.ipynb b/notebooks/ITNuggets.ipynb index 636e0b3..53c0569 100644 --- a/notebooks/ITNuggets.ipynb +++ b/notebooks/ITNuggets.ipynb @@ -1,724 +1,1310 @@ { - "metadata": { - "language_info": { - "codemirror_mode": { - "name": "python", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8" - }, - "kernelspec": { - "name": "python", - "display_name": "Python (Pyodide)", - "language": "python" - } + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Logarithms & Exponentials\n" + ] }, - "nbformat_minor": 4, - "nbformat": 4, - "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ { - "cell_type": "markdown", - "source": "# Logarithms & Exponentials\n", - "metadata": {} - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "0 1\n", + "1 2\n", + "2 4\n", + "3 8\n", + "4 16\n", + "5 32\n", + "6 64\n", + "7 128\n", + "8 256\n", + "9 512\n", + "10 1024\n", + "11 2048\n", + "12 4096\n", + "13 8192\n", + "14 16384\n", + "15 32768\n", + "16 65536\n", + "17 131072\n", + "18 262144\n", + "19 524288\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "for n in range(0,20):\n", + " print(n, 2**n)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "import math\n\nfor n in range(0,20):\n print(n, 2**n)\n ", - "metadata": { - "trusted": true - }, - "execution_count": 1, - "outputs": [ - { - "name": "stdout", - "text": "0 1\n1 2\n2 4\n3 8\n4 16\n5 32\n6 64\n7 128\n8 256\n9 512\n10 1024\n11 2048\n12 4096\n13 8192\n14 16384\n15 32768\n16 65536\n17 131072\n18 262144\n19 524288\n", - "output_type": "stream" - } - ] + "name": "stdout", + "output_type": "stream", + "text": [ + "Values of x: [0.1 0.101 0.102 ... 7.997 7.998 7.999]\n", + "Values of y: [-3.32192809 -3.3075728 -3.29335894 ... 2.99945889 2.99963928\n", + " 2.99981965]\n" + ] }, { - "cell_type": "code", - "source": "# adapted from https://www.askpython.com/python/examples/plot-mathematical-functions\n\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nx = np.arange(0.1, 8, 0.001)\ny = np.log2(x)\nprint('Values of x: ', x)\nprint('Values of y: ', y)\n \nplt.plot(x, y)\n \nplt.grid(True)\nplt.title(\"binary logarithm function\")\nplt.xlabel(r\"$x$\")\nplt.ylabel(r\"$\\log_2(x)$\")\nplt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 2, - "outputs": [ - { - "name": "stdout", - "text": "Values of x: [0.1 0.101 0.102 ... 7.997 7.998 7.999]\nValues of y: [-3.32192809 -3.3075728 -3.29335894 ... 2.99945889 2.99963928\n 2.99981965]\n", - "output_type": "stream" - }, - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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", + "text/plain": [ + "" ] - }, - { - "cell_type": "code", - "source": "# adapted from https://www.askpython.com/python/examples/plot-mathematical-functions\n\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nx = np.arange(-3, 3, 0.001)\ny = 2**x\nprint('Values of x: ', x)\nprint('Values of y: ', y)\n \nplt.plot(x, y)\n \nplt.grid(True)\nplt.title(\"(binary) exponential function\")\nplt.xlabel(r\"$x$\")\nplt.ylabel(r\"$2^x$\")\nplt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 3, - "outputs": [ - { - "name": "stdout", - "text": "Values of x: [-3. -2.999 -2.998 ... 2.997 2.998 2.999]\nValues of y: [0.125 0.12508667 0.12517341 ... 7.98338175 7.98891733 7.99445674]\n", - "output_type": "stream" - }, - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" - }, - "metadata": {} - } - ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# adapted from https://www.askpython.com/python/examples/plot-mathematical-functions\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.arange(0.1, 8, 0.001)\n", + "y = np.log2(x)\n", + "print('Values of x: ', x)\n", + "print('Values of y: ', y)\n", + " \n", + "plt.plot(x, y)\n", + " \n", + "plt.grid(True)\n", + "plt.title(\"binary logarithm function\")\n", + "plt.xlabel(r\"$x$\")\n", + "plt.ylabel(r\"$\\log_2(x)$\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ { - "cell_type": "markdown", - "source": "# Probability Distributions", - "metadata": {} + "name": "stdout", + "output_type": "stream", + "text": [ + "Values of x: [-3. -2.999 -2.998 ... 2.997 2.998 2.999]\n", + "Values of y: [0.125 0.12508667 0.12517341 ... 7.98338175 7.98891733 7.99445674]\n" + ] }, { - "cell_type": "code", - "source": "import matplotlib.pyplot as plt\nimport numpy as np\n\ny = np.array([0.5, 0.5])\n\nplt.pie(y, startangle = 90)\nplt.title(\"fair coin\")\nplt.savefig(\"fair\", transparent=True)\nplt.show() ", - "metadata": { - "trusted": true - }, - "execution_count": 4, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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31ixJvve2ZPGc0kugaQhAGABPLlmT933rzixe7VEv0C9WL0guOyNZOrf0EmgKAhD62bLnX8j7v3NnnlvpIc/Qr1Y9k1z+jmTN0tJLoPIEIPSj9T29+Yt/uidPLl1TegrUw7K5yQ/OSXpcZwubIwChH/1/P3sotz++pPQMqJe5tybXfqr0Cqg0AQj95Mo7n8z3bp9XegbU012XJHdfWnoFVJYAhH5w19yl+eufel8pFPXzv0zm3V56BVSSAIQ+Nn/52vz5FXenu6dRegrUW2938i8fSJY/VXoJVI4AhD605oX1ueCy32SJZ/1BNTy/KPn+WckLbsSClxOA0EcajUb+8gf3ZdazK0tPAV7uuQeSH/956RVQKQIQ+sjf3zgnVz/wXOkZwKY89OPkli+UXgGVIQChD1wz87lcfOMjpWcAm3Pz55NZPyu9AipBAMIOmv3cynz8X+5Nwz0fUHGN5N8uTBY8VHoIFCcAYQes6urOh773m6x5oaf0FGBrvLA6ueo9ybpVpZdAUQIQdsDnr56Vp5auLT0D2BbL5yXXfbr0CihKAMJ2uvWRRbnqLs8Xg6Z096XJYzeVXgHFCEDYDqu6uvNXP7y/9AxgR/z0o04FU1sCELbD56+elWdWdJWeAeyIFU85FUxtCUDYRk79QgtxKpiaEoCwDZz6hRb0048mXd7gQ70IQNgGf/Nzp36h5TgVTA0JQNhKtz6yKN//tVO/0JLuucypYGpFAMJWcOoXasCpYGpEAMJWcOoXasCpYGpEAMIWOPULNeJUMDUhAGEzurp78qkfPVB6BjCQfvrRpNsrHmltAhA247u/mpv5y30hgFpZ8VRy5zdKr4B+JQDhVaxY051v/PtjpWcAJfzy4mTtstIroN8IQHgV/3DLnKzsWl96BlBC1/INEQgtSgDCJjy3oiuX3fZE6RlASXd+M1n5bOkV0C8EIGzCV258JF3dvaVnACWtX5vc8r9Kr4B+IQDhDzy2aHX+5TdPl54BVMFvr0gWzym9AvqcAIQ/8KXrHk5Pb6P0DKAKetcnN/3P0iugzwlAeJn7nlqeqx94rvQMoEoe+kky/57SK6BPCUB4mb+9ZnbpCUDlNJIbPlt6BPQpAQi/8x+PLsptjy0pPQOoorm3JI/dXHoF9BkBCEkajYajf8Dm3fDZpOH6YFqDAIQkP7v/2cycv7L0DKDKnr03efDfSq+APiEAIcnf3/ho6QlAM7jlC6UXQJ8QgNTebY8tzqMLV5eeATSDRbOSuf9RegXsMAFI7V1xx7zSE4Bm8utvl14AO0wAUmsLV3blugcXlJ4BNJPZP09WeV4ozU0AUmtX3vVk1nvrB7AteruTuy8rvQJ2iACkttb39Ob7dz1VegbQjO6+NOlZX3oFbDcBSG1d/9CCPLeyq/QMoBmteiZ5+OrSK2C7CUBq63I3fwA7ws0gNDEBSC3NWbjaa9+AHTP31mSxZ4jSnAQgteTRL8COayS//k7pEbBdBCC1s/aFnvzwnqdLzwBawX1XJi+sKb0CtpkApHZ+fO/8rOpy9x7QB7pWJA/8oPQK2GYCkNpx+hfoU24GoQkJQGrlvqeW58FnVpaeAbSS5+5P5t9degVsEwFIrfxiptc3Af1g1v8tvQC2iQCkVm6c5b2/QD94+JrSC2CbCEBqY96S5/PowtWlZwCtaNGsZOnc0itgqwlAauP6hxz9A/rRw78ovQC2mgCkNm5w+hfoT94NTBMRgNTCijXd+c0Ty0rPAFrZk7cna5eXXgFbRQBSCzc/vDDrexulZwCtrHd98uj1pVfAVhGA1ML1Tv8CA8FpYJqEAKTldff05taHF5WeAdTBnBuTnu7SK2CLBCAt787Hl2bVOu/+BQbAuhXJvF+VXgFbJABpee7+BQaUx8HQBAQgLU8AAgNKANIEBCAtbdazK/P0srWlZwB1snxesuDB0itgswQgLe2WR9z8ARQw54bSC2CzBCAt7f6nl5eeANTR/HtKL4DNEoC0tAfmryg9AaijZ+8tvQA2SwDSspaveSFPLXX9H1DAsieStV4/SXUJQFrWzPkrS08A6uzZ+0ovgFclAGlZTv8CRT1zb+kF8KoEIC3rgfnLS08A6uyZ35ZeAK9KANKyHAEEinIjCBUmAGlJbgABinMjCBUmAGlJbgABKsGNIFSUAKQlOf0LVIIbQagoAUhLmikAgSpwHSAVJQBpSfe7AxioAncCU1ECkJbjBhCgMtwIQkUJQFrOQ8+6AQSokOceKL0ANiIAaTnPLO8qPQHg91bML70ANiIAaTkLVgpAoEJWPVt6AWxEANJyFq1aV3oCwO+tXlB6AWxEANJyFq5yBBCokFXPlV4AGxGAtJwFKx0BBCpEAFJBApCW4wggUCmrBSDVIwBpOQsdAQSqZJVrAKkeAUhLWbGmO+vW95aeAfB769cma5eXXgGvIABpKQuc/gWqyHWAVIwApKU4/QtUkusAqRgBSEvxEGigkhwBpGIEIC1loYdAA1UkAKkYAUhL8QgYoJK8DYSKEYC0FNcAApXkfcBUjACkpazs6i49AWBjXStKL4BXEIC0lPU9jdITADbWu770AngFAUhLWd/rIdBABfUIQKpFANJS1vc6AghUkCOAVIwApKX0CECgigQgFSMAaSmuAQQqSQBSMQKQluIaQKCSBCAVIwBpKc4AA5XU8B+nVIsApKV0tLWVngCwsbaO0gvgFQQgLaWjXQACFdQuAKkWAUhLGdwhAIEK6hhcegG8ggCkpTgCCFRS+6DSC+AVBCAtZVC7/0sDFSQAqRhfLWkpjgACleQaQCpGANJSBg/yf2mggtpdA0i1+GpJS9l5hD9kgQoasUvpBfAKApCWMn6nYaUnAGxs1ITSC+AVBCAtZbdRQ0tPANiYAKRiBCAtZTdHAIEqEoBUjACkpTgCCFTSSAFItQhAWooABCrJEUAqRgDSUtwEAlSSAKRiBCAtpXPooHQO8cBVoEKGjEqGdJZeAa8gAGk5jgICleLoHxUkAGk541wHCFSJAKSCBCAtxxFAoFIEIBUkAGk57gQGKmXk+NILYCMCkJbjCCBQKaMmll4AGxGAtJzddnIEEKgQp4CpIAFIy9lj5xGlJwD83pjJpRfARgQgLefAiTulo72t9AyApK0jmXBw6RWwEQFIyxk+pCOvGTey9AyAZNz+yeDhpVfARgQgLengSaNLTwBIdp9eegFskgCkJR0yaafSEwCSidNLL4BNEoC0pEP2cAQQqABHAKkoAUhLOnDiaDeCAGW1dSTj3QBCNQlAWtLwIR3Zd1xn6RlAnY2blgzxWCqqSQDSsg6ZNKb0BKDOdj+s9AJ4VQKQluVGEKAoN4BQYQKQluVGEKAoN4BQYQKQluVGEKAYN4BQcQKQluVGEKAYN4BQcQKQluaNIEARrv+j4gQgLe2wvXYuPQGooz1mlF4AmyUAaWknThtXegJQR/udWnoBbJYApKXtsfOI7D9hVOkZQJ2MPyQZs2fpFbBZApCWd8qB40tPAOpk2mmlF8AWCUBa3skHCEBgAAlAmoAApOUdusfojN9paOkZQB2M2t0r4GgKApCW19bWlpP2dxQQGABTT03aPICe6hOA1MIpB+5WegJQB9NOL70AtooApBaO23fXDB/cUXoG0MoGdyZTXl96BWwVAUgtDBvckT/ab9fSM4BWtu+JySDXG9McBCC1cYq7gYH+5O5fmogApDZOOmC3tLs2G+gPbe3J1DeXXgFbTQBSG7uOHJrpe44pPQNoRXscmXS6zITmIQCplZO9FQToD07/0mQEILXylkMmekQX0MfakgPfVnoEbBMBSK1M3qUzf/Qap2mAPrTvicnYKaVXwDYRgNTO+4+ZXHoC0EqOvKD0AthmApDaOfmA8dl99LDSM4BWMHpPd//SlAQgtdPR3pazjtqr9AygFcw4J2n3liGajwCklt5z1F4Z3OFuEGAHdAxJDj+n9ArYLgKQWho3amhOPWhC6RlAMzvgjGTkbqVXwHYRgNTWB9wMAuwIN3/QxAQgtXX0lF0ybfyo0jOAZrTbQcnk40qvgO0mAKm19x/rKCCwHY48v/QC2CECkFr7k8MmZeTQQaVnAM1k6E7Joe8uvQJ2iACk1jqHDso7DptUegbQTA59dzJ0ZOkVsEMEILX3AaeBgW3h5g9agACk9qaOH5Vjp+xSegbQDPY+Ptlt/9IrYIcJQEjyiTdNLT0BaAYn/Y/SC6BPCEBIcsTeY/PG/T3QFdiMqaclex1degX0CQEIv/Nf37x/2r0dDtiUtvbkjZ8pvQL6jACE35k2YVTe7o5gYFMOfU8y/sDSK6DPCEB4mY+fMjVDOvxrAbxMx9DkxE+VXgF9ylc6eJk9dh6R9x2zV+kZQJUceX4yxp8LtBYBCH/gP5/4Gm8HATYYMio5/i9Lr4A+JwDhD+wycmguOH6f0jOAKjjuI0mn54TSegQgbMKHjp+SXUcOKT0DKKlzXHLsh0uvgH4hAGETOocOyodPfE3pGUBJJ3zSO39pWQIQXsX7jp6cPccOLz0DKGHM5GTGeaVXQL8RgPAqhgxqz8dP8Yo4qKWTPp0MchkIrUsAwma87bWT8to9RpeeAQykSTOSQ84svQL6lQCEzWhvb8sXz3xthgzyrwrUQsfQ5O1fT9q8F5LW5qsabMF+40flojfuV3oGMBDe8FfJuGmlV0C/E4CwFf7T6/d1Khha3aQZyesuKr0CBoQAhK3Q4VQwtLYXT/22d5ReAgPCVzPYSk4FQwtz6peaEYCwDZwKhhbk1C81JABhGzgVDC3GqV9qylcx2Eb7jR+Vj53sVDC0hBM/5dQvtSQAYTtceIJTwdD0Js1Ijvto6RVQhACE7eBUMDQ5p36pOV+9YDs5FQxNzKlfak4Awg648IR9c9TeY0vPALbFXsc59UvtCUDYAR3tbfmH9x+eSWOGl54CbI3ReybvvtypX2pPAMIO2nXk0Fxy9owMH+wLClTa4M7krKuSzl1LL4HiBCD0gYN2H50vnvna0jOAV9WWvP0fkgmHlB4ClSAAoY+85dCJ+chJryk9A9iUEz6ZHPT20iugMgQg9KGPnzI1bzpwfOkZwMvt/9bkxP9eegVUigCEPtTW1pYvv3t6po0fVXoKkCS7HZT8ySVJW1vpJVApAhD6WOfQQfn2OUdk5xGDS0+Behuxy4abPoZ0ll4ClSMAoR/sOXZE/uF9MzKo3VEHKKJ9cPKu7yU7Ty69BCpJAEI/OXbfXfLXZxxYegbU02n/K9n7j0qvgMoSgNCPPnDs3nnv0XuVngH1csQHkyMvKL0CKk0AQj/73B8flGOmeF0cDIi9j09O+0LpFVB5AhD62eCO9nz7nCNz2F5jSk+B1rbHkclZ30863IAFWyIAYQCMHDool553VA6etFPpKdCaJk5P3v/DZOjI0kugKQhAGCCjhw/O5R88OvtP8IxA6FPjD04+8G/JsNGll0DTEIAwgHbuHJIrLjg6+47zXDLoE7tOSz7w42SE62xhWwhAGGC7jhyaKz90TCbvMqL0FGhuY6ckZ/8kGTmu9BJoOgIQChi/07D8858dmym7OhII22WX/ZJzf57sNLH0EmhKAhAKmTB6WL5/4TGZOt5F67BNxh2QnHd1stPupZdA0xKAUNBuo4bl+392bA6c6O5g2CoTDt1w5G/kbqWXQFMTgFDY2M4huepDx+S1e44pPQWqbdKM5Jz/m3TuUnoJND0BCBUwesTgXHH+UTli8s6lp0A17XXshhs+ho8pvQRaggCEihg1bHAuP//ovOVQF7XDKxz0juT9P0qGeoYm9BUBCBUyfEhHvvbew/OJU6amra30GiitLTnp08mZlyZDPDYJ+pIAhAr6yBv3yzfePyOdQzpKT4EyhoxM3vNPyQmfLL0EWpIAhIo69aAJ+dFfvC57jh1eegoMrJ33Ts6/Ptn/LaWXQMsSgFBh0yaMyk8//Ec5ZorXXFETex+ffOjmZPyBpZdASxOAUHE7dw7JFecfnQ8cM7n0FOhfR37Ie31hgAhAaAKDOtrzP99+cP7mHQdncIe7Q2gx7YOTt16cvOWLSceg0mugFgQgNJH3HT05V5x/dMZ2Dik9BfrGiF2Tc36aHHFe6SVQKwIQmszRU3bJTz78uuw/wTPRaHLjD0n+7OZk8nGll0DtCEBoQnuOHZEf/cVxOeuoPUtPge1z+DnJ+dcmY/YqvQRqqa3RaDRKjwC2362PLMpf/fD+PLOiq/SUlvPEsPeWntB6Ru+Z/PHfJ/ueVHoJ1JoAhBawqqs7n796Vq6666nSU1qKAOxjh5+TvOn/T4btVHoJ1J4AhBbyH48uyl/98IHMX7629JSWIAD7iKN+UDkCEFqMo4F9RwD2gRnnbjjqN9RNS1AlAhBalKOBO04A7gBH/aDSBCC0MEcDd4wA3E6O+kHlCUCoAUcDt48A3EaO+kHTEIBQE6vXrc9Xb3w0l972RNat7y09pykIwK00aFhy1J8lr/+vjvpBkxCAUDPPrlibi69/NP96z9Pp6fWv/+YIwC1o60imvzd5w6eS0ZNKrwG2gQCEmpqzcHW+eO3DuebB50pPqSwBuBkHnJGc9Jlk3NTSS4DtIACh5n775LL87TWzc8fjS0tPqRwBuAl7H5+c/LlkjxmllwA7QAACSZJbHlmUv/3F7Dz07MrSUypDAL7MhEOTk/86ec3JpZcAfUAAAi9pNBr56X3P5H9f/0jmLVlTek5xAjDJzvskJ306OfhPk7a20muAPiIAgY109/Tm+3c9ma/cOCeLV68rPaeYWgfgyPEb7uo9/JykY3DpNUAfE4DAq1r7Qk/+7bfzc/kd8zKrhqeGaxmA4w9Jjjw/OfTdyZARpdcA/UQAAlvl7nlLc/nt83L1zOfyQk2eI1ibAOwYmhz4tuTIC5K9ji69BhgAAhDYJktWr8s//+apXHnnk3l6WWu/WaTlA3DMXsmM85LDz046dy29BhhAAhDYLr29jdw0e2Euv2Nebn10UVrxT5KWDMC29mTfN2442rffm5L29tKLgAIEILDDnlyyJlfcOS8/+M1TWbamu/ScPtNSATh8bHLY+5MjPpiM3af0GqAwAQj0ma7unvz8/mfzr3c/nV8/sTTrm/xVc00fgO2Dkr2OTaa/LznoHcngYaUXARUhAIF+sWJtd/794YW5/qEFueWRRVnVtb70pG3WlAE4dHSy38nJ1NOS/U5Jho8pvQioIAEI9Lvunt7c+fjS3DBrQW6YtaBpbh5pmgAcMzmZdtqGb5Nf57l9wBYJQGDAzX5uZW54aEGun7Uw9z+9vLI3kFQ3ANuSSTOSaW9Opp2ejD+o9CCgyQhAoKiFq7py06yFuWHWgtw5d2mlThVXKgCHjk4mH7fhKN/UNyejxpdeBDQxAQhURqPRyLwla3L//BWZOX9FHnh6RWY+s6JYFBYLwKGjk4mHJrtPT3Y/LJk4PRk7xbt4gT4jAIFKezEKH5i/YsO3AYzCAQnAl2LvsA3BJ/aAASAAgabz8iicOX9FHlmwKgtXrcuCleuy9Pl16aunz/RZALa1JyN2TUZN2PBt3P5iDyhKAAItZX1PbxavfiELV3Vlwcp1WbiqKwtf9v2C332/5PkX0rOFUtxiALZ1JJ3jNlyPN2piMvJ337/ixxOSzt2SjkF9+HcJsGMEIFBLPb2NLHl+XdZ192Z9byM9vb3p7mmkp7fx0o9ntD264WHK7R0bvu8Y/PsfDxq+4f257R2l/1YAtpkABACoGW8BBwCoGQEIAFAzAhAAoGYEIABAzQhAAICaEYAAADUjAAEAakYAAgDUjAAEAKgZAQgAUDMCEACgZgQgAEDNCEAAgJoRgAAANSMAAQBqRgACANSMAAQAqBkBCABQMwIQAKBmBCAAQM0IQACAmhGAAAA1IwABAGpGAAIA1IwABACoGQEIAFAzAhAAoGYEIABAzQhAAICaEYAAADUjAAEAakYAAgDUjAAEAKgZAQgAUDMCEACgZgQgAEDNCEAAgJoRgAAANSMAAQBqRgACANSMAAQAqBkBCABQMwIQAKBmBCAAQM0IQACAmhGAAAA1IwABAGpGAAIA1IwABACoGQEIAFAzAhAAoGYEIABAzQhAAICaEYAAADUjAAEAakYAAgDUjAAEAKgZAQgAUDMCEACgZgQgAEDNCEAAgJoRgAAANSMAAQBqRgACANSMAAQAqBkBCABQMwIQAKBmBCAAQM0IQACAmhGAAAA1IwABAGpGAAIA1IwABACoGQEIAFAzAhAAoGYEIABAzQhAAICaEYAAADUjAAEAakYAAgDUjAAEAKgZAQgAUDMCEACgZgQgAEDNCEAAgJoRgAAANSMAAQBqRgACANTM/wNrwsm8dvb86gAAAABJRU5ErkJggg==" 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", + "text/plain": [ + "" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# adapted from https://www.askpython.com/python/examples/plot-mathematical-functions\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.arange(-3, 3, 0.001)\n", + "y = 2**x\n", + "print('Values of x: ', x)\n", + "print('Values of y: ', y)\n", + " \n", + "plt.plot(x, y)\n", + " \n", + "plt.grid(True)\n", + "plt.title(\"(binary) exponential function\")\n", + "plt.xlabel(r\"$x$\")\n", + "plt.ylabel(r\"$2^x$\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Probability Distributions" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "y = np.array([0.1, 0.9])\nplt.pie(y, startangle = 90)\nplt.title(\"biased coin\")\nplt.savefig(\"biased\", transparent=True)\nplt.show() ", - "metadata": { - "trusted": true - }, - "execution_count": 5, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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", + "text/plain": [ + "" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "y = np.array([0.5, 0.5])\n", + "\n", + "plt.pie(y, startangle = 90)\n", + "plt.title(\"fair coin\")\n", + "plt.savefig(\"fair\", transparent=True)\n", + "plt.show() " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "y = np.array([1/5, 1/5, 1/5, 1/5, 1/5])\nmyexplode = [0.01, 0.01, 0.01, 0.01, 0.01]\nplt.pie(y, startangle = 90, explode = myexplode)\nplt.title(\"uniform distribution\")\nplt.savefig(\"unif\", transparent=True)\nplt.show() \n", - "metadata": { - "trusted": true - }, - "execution_count": 6, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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NRb0yNxcoc3OBJNf1hd3iQ9Wjn6sUdo0PlZcXN50AaBkKIIAOUVPfqCW7DmteWq4W7shTeQ2F71TU1zTqwPYiHdheJEnyDfBW7LBIJYyMUZ/BEVxDCKBZKIAA2k1lbYO+Tc9XytZcfZuer6q6RtORPE5ddYN2rc7TrtV58vHzUt8hkYofGa3YoVHy8aMMAjg2CiCANlVWU6+F2/OUkparpbsOu90dup6svrZRe9bna8/6fHn52NUnKUIJp8UodliU/AL4cQ/gf/iJAKDV6hocmrctVx9vOKiVewpV10jpM62x3tF07aDd26ZeAyM06Kxuij8tmmsGAVAAAZy67JJq/Wf1Pr239qAKKmpNx8FxOBqc2r+tUPu3FSrgA18ljemuwef2VEiEv+loAAyhAAJoEafTqaW7C/T2qn36Nj1fjZ6yOJ9FVJfVaf28fdqQul99h0Rq6Nie6p0UwVqDgMVQAAE0S0lVnT5Yd1DvrN6nrMIq03HQSk6HU1lbCpS1pUCh0QEafG5PJY7pLv8gH9PRAHQACiCAE9pysERvrdqnL7ccUk091/Z5otLD1Vr50R6t+TxD/UbHaOh5vRTTt4vpWADaEQUQwDFtOlCiWanpWra7wHQUdJCGeod2rsrVzlW56pMUoTPGx6trHEUQ8EQUQABHSMsu1fMLdumbnfmmo8Cg/duLtH97kfoOjdSZ4+MV3SfEdCQAbYgCCECStP1Qmf66cJcWbM8zHQVuZN/WQu3bWqi44VE6Y3y8onoFm44EoA1QAAGL25VXrhcW7lJKWq6c3NCL48jcXKDMLQVKGBmtM66IV0SPINORALQCBRCwqL2HK/TCwt36asshsZILmsUp7d1wWBkbD6vfqBidfkWcwrtRBIHOiAIIWExpdb1mzt+p/645wBp+OCVOp7R7Xb72bDiswT/vobOujJdfIMvHAJ0JBRCwkI83HNRfvt6hgoo601HgAZwOp9KWZmvvpsP62S8TNPCs7qYjAWgmCiBgAXvyy/XQp2n6LqPIdBR4oOqyOi2cu0M7Vubo3OsGKqI7p4UBd0cBBDxYdV2j/v7Nbr22LEP1jZzuRfvK3lWi955coxHj+uj0y2Ll7etlOhKA46AAAh5q4fY8PfrFNh0srjYdBRbiaHRqw7x92r02T+dOHqDYYVGmIwE4Bgog4GGyS6r16OfbWM8PRpUX1uir2VsUNzxK50weoJAIf9ORAPwIBRDwIG+tytLTKTtVVddoOgogybV+4IGdxRpzVYKGntfLdBwA36MAAh7gcHmtpn64Wd+mHzYdBThKQ22jlr67S/u2FeqCXycqsIuv6UiA5dlNBwDQOot25OnSvy2l/MHt7dtaqHefWK2sLQWmowCWRwEEOqma+kY9+MlW3fLmOtb1Q6dRXV6vr2Zv0ZL/pKuhnksVAFM4BQx0QnsPV+iudzZoZ2656SjAKUlbmq2cvaW65LbBjJMDDOAIINDJfLzhoMa/uJzyh06vMLtCH8xYp/TVuaajAJbDEUCgk6iua9TDn6Xpg/UHTUcB2kx9baMWztmu7PRinXvtABaPBjoIBRDoBHJKq3Xz3HXakVNmOgrQLnaszFH+/nJdcdcwBYezZiDQ3jgFDLi5tOxSXfnPFZQ/eLzCgxX68Ol1OryfyxuA9kYBBNzYgu15uuaVVcorqzUdBegQlaV1+njWBmVuZlkjoD1RAAE39dqyDN3+9jqmesByGmoblfLyVm1auN90FMBjcQ0g4GYaHU49/Fma3lnNLz9Yl9Mprfhwj0rzq3XOtQNkt9tMRwI8CgUQcCMVtQ26650NWrKL01+A5FovsKywWpfcNkS+/vzKAtoKp4ABN5FdUq1JL62k/AE/sX9bkT6euV7lRTWmowAegwIIuIEf7vRlcWfg2AqzK7lDGGhDFEDAsK0HS/V///pOh8u50xc4kaqyOn32wkbl72NJJKC1KICAQVsPlupXr32nspoG01GATqG2qkGf/20TJRBoJQogYAjlDzg1lECg9SiAgAGUP6B1fiiBXBMInBoKINDBth4s1fWvr6b8Aa1UW9Wgz17YSAkETgEFEOhAP5S/0up601EAj0AJBE4NBRDoIJQ/oH1QAoGWowACHSAtm/IHtCdKINAyFECgnR0oqtKNc9ZQ/oB2VlvVoC9e3KSygmrTUQC3RwEE2lFZTb1unrtWBRV1pqMAllBdXq+vZm9RbTU3WQEnQgEE2klDo0N3vbNBu/MrTEcBLKXoUKXm/ytNjkaH6SiA26IAAu1k+mfbtGx3gekYgCUd2F6kpe/uMh0DcFsUQKAdvLp0r/67Zr/pGIClbVt2SBsX8PcQOBYKINDG5m/L1dMpO03HACBp1cd7lLHpsOkYgNuhAAJtaOvBUt3z7iY5nKaTAJAkp1Na8MY2locBfoICCLSRQyXVuuXNtaqubzQdBcCPNNQ59NU/N6uiuMZ0FMBtUACBNlBV16Cb565Vfnmt6SgAjqGytE5f/nOL6mv5BxogUQCBNvHIZ9u0M5dTTIA7KzxYoWXvcWcwIFEAgVb7fPMhfbD+oOkYAJphx8oc7V6XZzoGYBwFEGiFA0VVevCTraZjAGiBxe+kMy4OlkcBBE5RQ6NDf3h3o8prGDkFdCZ11Q1a8MY2JoXA0iiAwCl6fsEubdxfYjoGgFOQm1GmNV9kmo4BGEMBBE7Byj0FennJXtMxALTChvn7dDC92HQMwAgKINBCRZV1+uP7LPYMdHZOp7TwjW2qqag3HQXocBRAoIWmfLBZeWWs9wd4gsrSOi16a4fpGECHowACLTBnRaYW7cw3HQNAG8raUqAt3x4wHQPoUBRAoJn2FVbq6ZSdpmMAaAcrP96r0sMsDQProAACzfTwZ9tU28CyEYAnaqx3aOm7TAmBdVAAgWb4emuOluw6bDoGgHa0f1uh9m7gEg9YAwUQOImK2gY9/sV20zEAdIDlH+xWHYu7wwIogMBJ/HXBLuWW1ZiOAaADVBTXas2XLBANz0cBBE5g+6EyzV2ZZToGgA609ZuDKjhYYToG0K4ogMBxOJ1OPfTpVjWy4jNgKQ6HU0v+ky6nk7/78FwUQOA43l17QBuY9QtYUm5GqXasyDEdA2g3FEDgGAoravXMPNb8A6xs5Sd7VF1RZzoG0C4ogMAxzEjZqZIq5oMCVlZb2aCVH+81HQNoFxRA4Cd25JTpow0HTccA4AZ2rspRYTY3hMDzUACBn/jrgl3i2m8AkiSntOYLloWB56EAAj+Sll2q1O15pmMAcCMZmw/r8P5y0zGANkUBBH7k+QXMAgXwE05pzRcZplMAbYoCCHxv4/5ifbOTOaAAjpa1tVB5mWWmYwBthgIIfI+jfwBOhKOA8CQUQEDS2qwiLdtdYDoGADe2f3uRcvaUmI4BtAkKICDp+VSO/gE4udXcEQwPQQGE5a3cW6BVGYWmYwDoBLLTi5WdXmw6BtBqFEBY3l+59g9AC6zmWkB4AAogLG11RqHWZvGveQDNl7OnVId283MDnRsFEJb21qp9piMA6IS2Ls42HQFoFQogLCu/rEap23NNxwDQCWVsOqzK0lrTMYBTRgGEZf13zQHVNzL0F0DLORqd2r78kOkYwCmjAMKSGhod+u+a/aZjAOjEti8/JIeDf0Sic6IAwpIW7shTblmN6RgAOrGK4lplbWYBeXROFEBYEjd/AGgLW5ccNB0BOCUUQFjOnvwKrdzLws8AWu9gerGKcytNxwBajAIIy/n3dxz9A9BGnFLaUpaEQedDAYSlVNc16qMNnLIB0HbSv8tVfV2j6RhAi1AAYSmfbspWeU2D6RgAPEhtVYN2r8kzHQNoEQogLOXD9Rz9A9D2dq7KMR0BaBEKICzjUEm1NuxnfieAtpeTUaqKYpaWQudBAYRlfLUlR07WbAXQHpzSnvX5plMAzUYBhGV8uYWxTQDaz+51FEB0HhRAWMKBoiptPlhqOgYAD5afVaaygmrTMYBmoQDCEnLLatQ/Jth0DAAeLLx7kCpKak3HAJrF23QAoCOcHhuhBX8aqz35FUrZmqOUtFxtzykzHQtAJxfVO1gJI2OUcFq0wrsFmY4DNBsFEJ6v9KA0/0EpaYL69b9Yd1/YX3df2F/7C6uUkuYqg5sPlnCDCICTs0ldY7sofmS0EkbGKDQ6QJLkqKxUWUqKyuanquu0qfLp3t1wUODEKIDwfDu/lrZ/6tq8/aWEC6WkZPUZeKluH5ug28cmKKe0WilbczUvLVfr9hXJQRkE8D2bTereL+z70het4HB/SVJjWZlKP0tVWeoCVS5fLmet6/Rv4OmjFfGrX5mMDJwUBRCeb+eX//v/hhop/SvX5uUrxY2VkpLVfeDluvnncbr553E6XF6r+dtcZfC7jEI10AYBy7HbbeoxIEwJp8UofkS0Arv4SpIaiotV8uGXKpufqsrvvpPq64/62IpFiyiAcHs2p5MTX/Bg1SXSzATJcZLxbzYvKfZnUmKyawvpKkkqrqzTgu15SknL0Yo9haprdLR/ZriFpVPOV6jDpn9PX2U6CjqI3dum3okRShgZrbhh0fIP9pEk1efnq3zhQpWnLlDV2rVS40nm/vr4aMDKFfIKCemA1MCp4QggPNvuBScvf5LkbJQyl7q2lKlS7zOlxGSFJ47XNaf31jWn91ZZTb2+2ZGvlLQcLdl1WDX1lEGgs/P2savP4EjFj4xW7LAo+QW4fi3WHzqkoo8WqGx+qqo3bZIcLfj7Xl+viiVLFXrF5e0TGmgDFEB4tvSvWv4xToe0f5Vrm3+/1OM0KSlZXZIm6MqR8bpyZE9V1TXo252HlZKWo2935quy7iRHBAC4DR9/L8UOiVT8yBj1HRIpHz8vSVLdvn0qSE1VeeoC1Wzd2qrXqPhmEQUQbo0CCM+WubT1+zi0wbUtfFTqOlRKSlZgYrIuHzZIlw/rrpr6Ri3bXaCUtBwt3J6nsppmHHEE0KH8Ar0VOyxKCSOj1TspQt4+rtJXu2ePDqemqnx+qmrT09vs9Sq/W91m+wLaAwUQnutwulRV2Lb7zNvq2r59SooaICUmyz9pgsYlDdO4pK6qb3RoxZ4CzUvLVer2PBVV1rXt6wNoNv9gH8UPj1L8aTHqNShcXl6u2Qc127er6PsjfXUZGe3y2o1FRarNyJBffHy77B9oLQogPNe+Fe27/4Jd0rLnXFt4nJQ4Xj5JE3TegFE6b2CMnrrKqdWZhUrZmqv523KVX86EAKC9BYb6KmFEtOJPi1GP/mGy221yOp2q2bJFZd+XvvoDBzokS9XadRRAuC0KIDzXvg68e7M4U1r5d9fWpZeUOF5eSckaE3eWxiRE6fEJg7V+X7FS0lzLy2SXMC8UaCshEf5Na/R1SwiVzWaT0+FQ9Yb1KpufqvIFC9SQm9vhuarWr1P45Gs6/HWB5qAAwnPtN7R8R9lBafVLri24qzToctkSkzU69hyNjo3Q9CuStOVgib7emqt5aTnKKqwykxPoxEJjAppGsMX07SJJcjY0qGrVKteRvoWL1FhQYDRj9br1Rl8fOBHWAYRnKtkvvTDUdIojBURIgy6TEidI8edJ3q6FZXfklH1/ZDBHu/IqzGZEE9YBdD8RPYKaRrBF9QqWJDnr6lS5apXK5qeq4ptv1FhSYjbkT/T7ZpF8evQwHQM4CkcA4Zk68vRvc1UXSRv/7dr8QqUBl0hJyUrsd5ESxw3Qn8YN0N7DFUrZ6ppPvO1QmenEgHHRfUKaTu+GdwuSJDlqalS2YIHKUxeoYvFiOcrLDac8vqr16xVKAYQbogDCM7X3DSCtVVsqbX3ftfkESf3HSUnJSuh/iX5/QX/9/oL+OlBUpZQ0VxncdKBEHKuHJdikrrFdmk7vdokKkCQ5KitV9vXXriN9y5bJWdU5Lp2oWrtOoePHm44BHIUCCM9k6vq/U1FfKW3/1LV5+0sJF0iJyeo98FL99twE/fbcBOWUVmteWq5S0nK1LqtIjCeGJ7HZpO79wpRwWrTiR0QrONxfktRYVqaST+erPHWBKleskLO2891JX7We6wDhniiA8DyVBa4lWjqjhhop/WvXZveR4sdKicnqPugK3fSzON30szgdLq9V6nbX3cSr9haqgTaITshut6nnwDDFj4xR/IhoBXZxXRPbUFys4g++UPn8VFWuXi3V1xtO2jp1e/eqobhY3uHhpqMAR6AAwvPsW2k6Qdtw1Et7Frq2L/8o9R0jJU1QdOJ4/erMvvrVmX1VUlWn1O15mpeWq+W7C1TXyHxiuC8vb7t6J4YrfmSM4oZHyT/IR5JUn5+voi9c1/RVrVsnNXrWaMWqdevUZdw40zGAI1AA4XkObTSdoO05G6WsZa7t6ylS7zOlpGSFJSbrmtG9dc3o3iqvqdc3O/OVsjVXi3flq6aeMgjzvH3t6jM4UgkjoxU7NEq+Aa5fO/XZ2Sr8YIHK56eqetMmefJFrjVp2yiAcDsUQHieznr6t9mc0oHvXNv8B6QeI6XEZIUkTdCEEQmaMKKnqusa9W16vlLScvXtznxV1DKfGB3Hx99LsUMilXBajPoMiZSPr2vubl1WlgpSF6g8NVU1aWmGU3acuoy9piMAR6EAwvN4fAH8iUMbXduix6SuQ6TEZAUkJeuyoYm6bGh31TY0atmuAn2dlqOF2/NUVkMZRNvzC/RW3DDX3N0+iRHy8nHN3a3dvVuHU1NVPj9Vtbss9nfze7UZmaYjAEehAMKzNNZLRe0z3L1TyEtzbYv/IkUNkBKT5ZeUrIuShuuipK6qb3Ro5d5CzUvLUeq2PBVW1plOjE4sIMRHccNda/T1HBQuLy9X6avZvl2F81NVnpqqukzKT93+/XI2NMjmza9cuA++G+FZijIlB0e4JLmOhC57zrWFx0qJ4+WTOEFj+4/W2AHRevJKp9ZkFiklLUfzt+Uqr6zzLbGBjhcU6qv4kTFKGBmt7v3DZLfb5HQ6VbN5s8q+P71bf/Cg6Zjupb5edfsPyC8+znQSoAkFEJ7Faqd/m6s4S1r5omvr0lNKHC+vxGSdHXe2zk6I1GPJg7Vhf7FStrrWGswuqTadGG4kJMJf8ae5RrB1i+8im80mp8Oh6vXrVDY/VeULF6ohN9d0TLdWl5lBAYRboQDCsxSkm07g/sqypdUvu7agGGnQ5bIlJWtU7Lka1TdCD12RpK0HS/V1Wo7mpeUqs6DSdGIYENY1sGkEW0zfLpIkZ0ODKleuVHnqApUvWqTGggLDKTuP2r0ZCrnwQtMxgCYUQHiWgt2mE3QulfnS+jmuLSBcGni5lJSsofHna2ivQZr2i0HamVumlK2uhafT89x35ipaL6JHkBJGRivhtBhF9gyWJDnr6lS+eLHK56eq4ptv1Fhaajhl51SXYeFrk+GWKIDwLIc5AnjKqoulTf92bX5dpAGXSInJGtR/nAaNG6A/jhugjMMVSknLVUpajtKyy0wnRhuI7hOihO9P74Z1DZQkOWpqVJaaqvLUBapYvFiOigrDKTu/Wgog3AwFEJ6lcI/pBJ6htkza+oFr8wmS+l8kJSYrfsAluuv8frrr/H46UFT1/XziHG08UOLJ6/h6FpvULa5L040cXaICJEmNFZUq/eor15G+ZcvkrOY60LbE3dBwNxRAeI6yHFdxQduqr5S2f+bavPykhAukpGT1HniZbjs3XredG6/c0hrNS8tRSlqu1mYVifHE7sVmt6lHv9CmubvB4X6SpMbSUpV8Ml/lqamqXLFCzjqWBWovjvJy1efnyycmxnQUQBIFEJ6Eo3/tr7FW2pXi2uw+Uty5UlKyug26Qjf+LE43/ixOBRW1St2Wp5S0HK3aW6gG2qARdrtNPQeFK2FktOKGRyuwi68kqaGoSMXvf6by+amqXLNGqq83nNQ66jKzKIBwGxRAeI6KPNMJrMVRL+1d5Nq+/JPUd4yUmKyoxPH6vzP76P/O7KPSqnqlbnfdQLJsT4HqGphP3J68vO3qnRThmrs7LEr+QT6SpPq8fBV97lqjr2r9eqmx0XBSa2os5K5puA8KIDxHVZHpBNblbJSylrm2lKlS7zOkxGSFJiXr6tF9dPXo3qqobdCiHXlK2ZqrJbsOq7qeEtIWvH3t6js4UvGnRSt2aJR8/V0/1uuzs1X4/gKVz5+v6s2bxUWa5jUUF5uOADShAMJzVBWaTgBJklM6sNq1pT4odR8hJSUrOOlKTRiRoAkjeqq6rlGL0/OVkparb3bmq6KW6S0t4ePvpdihUUoYGa0+QyLl4+slSarNzFTB99M4arZtM5wSP9VYXGI6AtCEAgjPQQF0TzmbXNuix6WYwVJSsgISk3Xp0CRdOrS7ahsatXx3gb7emquFO/JUWs01acfiF+ituOFRShgZo96JEfLy+X7u7q5dKkl1Hemr3c06mO6skSOAcCMUQHgOCqD7y9/m2hbPkCL7S0nJ8ktM1oWJI3RhYlfVNzq0am+hUtJytWB7rgoqrH1XakCIj+JGuKZx9BoYLruXq/RVb9um8vmpKk9NVV1WltmQaDYKINwJBRCegwLYuRTulpbNcm1hfaXE8fJJmqBz+5+ucwdE68krh2htVpFStuZo3rZc5ZXVmk7cIYLC/JpGsPXoFyab3San06nqTZtcI9gWLFD9wYOmY+IUNJZQAOE+KIDwHNwE0nmV7JNW/cO1hfSQEsfLKylZZ8WO0VnxkXo0ebA27C9pWmvwYLFnLVIcEunfNIKta1wX2Ww2OR0OVa1b6zrSt3ChGvK4y72za+AaQLgRCiA8B0cAPUP5IWnNK64tKFoadLlsickaFTdWo/qG68HLk5SWXaqvt+ZoXlquMgoqTSc+JWFdA5tKX3SfEEmSs6FBlStWqjw1VeWLFqmxkO9pT8IpYLgTCiA8RzVHAD1O5WFp/VzXFhAuDbxMSkzWkITzNaTnIE39xSCl55YrJc1VBnfmlptOfEKRPYOaRrBF9gyWJDnq6lT+7beuI33ffitHaanhlGgvjSUlpiMATSiA8Ay1FVJDjekUaE/VxdKmd1ybXxep/8VSUrIG9hungRcN0D0XDVBmQWXTkcGt2e5RpGL6hnx/TV+MwroGSpIc1dUq+/4mjorFi+Wo7JxHMdEyzpoaOaqqZA8MNB0FoADCQ3D611pqy6S0D12bT6DU7yIpaYLiBlyiu87vp7vO76cDRVWavy1XKWm52rC/uOPWQbZJ3eJClXBatOJHRKtLVIAkqbGiUqVffqXy+fNVsXy5nNWedR0jmqexuJgCCLdAAYRnqOeXqWXVV0k7PndtXn5SwvlSYrJ6D7pMt54Tr1vPiVdeWY3mpeUqJS1Ha7OK1djG84ltdpt69A9VwsgYxY+IVlCYnySpsbRUJR/PU3lqqipXrpSzztrL2sB19BdwBxRAeAjGXEFSY620a55r+8JHijtHSkxW10FX6IYxsbphTKwKK2qVuj1PKWm5WrW3QPWNp/a9Y/eyqdfAcMWPdB3pCwjxlSQ1FBaq+L3PVD5/virXrJEamHKCH2EkH9wEBRCAZ3LUS3u/cW1f3Sv1OVtKSlZkYrKuO6OPrjujj0qr6rVgR57mpeVo6e4C1TU4TrhLLx+7eidGKOH7ubv+QT6SpPq8PBV96hrBVrV+veQ48X4AwDQKIADP52yU9i13bSnTpF6nS0nJCk1M1qRRfTVpVC9V1Dbom535Stmao8Xph5s+1NvXrr5DIpUwMkZ9h0bK19/1Y7PuYLYK30tV+fz5qt6yhSM7ADoVm9PJTy14gPwd0uyzTKdAZ9R9uJQ0QUqcIEX1kyRV1zXKy26TlySnwylvXy9JUm1mZtMItprt2w2GRmcV/8Xn8uvf33QMgCOAACwuZ7NrW/S4FJMkJSYrYPi1UkScJKnuwAEd/vQzlaemqnb3bsNhAaBtUAAB4Af526XiLGnIL/XDyRFnba0KX39dzhrWmQTgOeymAwCAW7nkL1L0QL257U29tf0t+fXrp6733Wc6FQC0KY4AAsAPkiZIo2/StoJt+tvGv8kmm0Z3G63B105W5UrXjF4A8AQcAQQASQrtLY3/u6rqqzR16VQ1OBpU76jXtKXTVFVfpe5PPC7vHt1NpwSANkEBBACblzTxNSkgTE9+96T2l+9vete+sn16avVT8goNVc+ZMyUvL4NBAaBtUADhGWx8K6MVxk6T+pylL/Z+oS8yvjjq3Z/v/VxfZnypwFGjFPW73xkICI9h52cV3APfifAMfl1MJ0Bn1ffn0rlTdKDsgJ5a/dRxn/bkd0/qQPkBRf3uDgWOHt2BAeFJ7CEhpiMAkiiA8BSBkaYToDMKCJd++arq1aipS6eqsr7yuE+trK/UtKXT1GBzqMfMZ+UVGtqBQeEpvMPDTUcAJFEA4Sm8fSVf/mWNFkr+hxTaUy9ueFFphWknffrWgq16ceOL8uneXd2efKIDAsKT2IODZfPxMR0DkEQBhCcJjDCdAJ3J6FukxCu08tBKzd02t9kfNjdtrlYeWqku48Yp7NrJ7ZcPHseLo39wIxRAeA5OA6O5YpKkS/6iwupCPbj8QTnV/JHoTjn14PIHVVRTpK73389cVzQbBRDuhAIIz0EBRHN4B0iT3pDT208PrXhIBdUFLd5FQXWBHlz+oGy+vuox6znZ/P3bISg8jVd4mOkIQBMKIDwHBRDNcclTUkyi3tr+lpZnLz/l3SzPXq63t78t/wED1HXa1DYMCE/lHcYRQLgPCiA8BwUQJ5M4Xjr9Fm0v3K6/bfhbq3f3woYXtKNwh8Kvu04h4y5qg4DwZJwChjuhAMJzcBMITqRLLyn5xaZRb/WO+lbvst5Rr6lLp7pGxT35pLy7MyoOx0cBhDuhAMJzcAQQx2Pzkib+SwoI11Orn9K+sn1ttuussiz9ZfVfXKPinn2GUXE4Lq4BhDuhAMJzUABxPOdOkfqO0VcZX+nzvZ+3+e4/2/uZvs74WoGnn66o229v8/3DM3AEEO6EAgjP0aWn6QRwR33GSGOn6kD5AT353ZPt9jJPfPeEDpYfVNRddypg1Kh2ex10Xj5du5qOADShAMJzRPUznQDuxj9Mmvgv1cuhaUunqaK+ot1eqqK+QtOWTlOjzameM5+VnVFx+Anf+HjTEYAmFEB4Dv9QKZh/YeNHkl+UQnvpHxv/oa0FW9v95bYUbNE/Nv5DPj16qPvjj7f766Hz8I6OlldwsOkYQBMKIDxL1ADTCeAuRt0kJSVr1aFVmpM2p8Neds62Ofou5zt1ueRihV1zTYe9Ltybb0KC6QjAESiA8CwUQEhSdKL0ixkqqilq8ai31nI4HXpg2QMqrilW1wful28/fvFD8ouPMx0BOAIFEJ4leqDpBDDN2//7UW/+emj5QzpcfbjDIxyuPqyHVjwku7+/es56XjY/vw7PAPfiG88/BOBeKIDwLFH9TSeAaRc/KXVN0r93/FvLspcZi7H04FL9e/u/5T9wgGKmTjGWA+6BI4BwNxRAeJYojgBa2qArpDNu047CHfrr+r+aTqO/rv+rdhbtVMSvfqXgCy80HQcGcQ0g3A0FEJ4ltKfky512ltSlZ5uPemutOkedpiyZoqr6KvV46kl5d+tmOhIMsAcFsQYg3A4FEJ4nkvUALcdml375LykwQjPWzFBWWZbpRE2yyrL09Jqn5RUWph7PPiPZ+bFrNb5xnP6F++EnETwPN4JYzzl/lmJ/ppTMFH2651PTaY7yyZ5PNC9znoLOOEORt//WdBx0ML8EFoCG+6EAwvNQAK2l91nSeffpYPlBPbHqCdNpjuvxVY8ruyJb0b//vQJGjjQdBx3IN4GzEnA/FEB4nl5nmE6AjuIfKk18TQ1yatqyaSqvLzed6LjK68v/NyruuZmyd+liOhI6SMCI4aYjAEehAMLz9BotefmaToGOMP7vUlhv/XPTP7Xl8BbTaU5q8+HNmr1ptnx69mRUnEXYfHwUMJwCCPdDAYTn8QmQenCKzeOddoM0+EqtzlmtN9LeMJ2m2V5Pe11rctaoyy8uUdjVk0zHQTvzHzpUdhYChxuiAMIz9TnbdAK0p+hB0qXPqLimWA8se0AOp8N0omZzOB26f9n9KqkpUdcHHmB9OA8XOGqU6QjAMVEA4Zn6jjGdAO3F21+a+LrkE6DpK6YrvzrfdKIWy6/O1/QV02UPCFDP52fJ5sslC54qcDQFEO6JAgjP1Ocs19pw8DzjnpC6DdE7O97RkoNLTKc5ZYsPLtY7O96R/8CBipnCqDiPZLcr4LTTTKcAjonfkPBM/qFSzGDTKdDWBl4mnflbpRel6/l1z5tO02rPr3te6UXpivj19Qo+/3zTcdDG/AYOlFdIiOkYwDFRAOG5OA3sWUJ6SBP+qeqGak1ZOkV1jjrTiVqtzlGnqUunqrqhWt3/8pS8Y2JMR0IbChw92nQE4LgogPBcfbkRxGPY7NIvX5UCI/T0mqeVWZppOlGbySjN0DNrnpF3eLh6PPsso+I8CDeAwJ3xkwaeqw9HAD3Gz/8kxZ2jeVnz9PHuj02naXMf7f5I87PmK+isMxV5222m46CNcAMI3BkFEJ4rpKsUwRIbnV7vM6Xz7ld2RbYeX+m5iyc/tuoxHao4pOi7f6+AESNMx0Er+cbGyjsqynQM4LgogPBs/S40nQCt4ff9qDebNG2pe496a63yOteoOIfdph7PPSc7Nw90akE//7npCMAJUQDh2QZeZjoBWmP8C1JYH83eNFubD282nabdbTq8SbM3z5Zvr57q/vhjpuOgFUIuvMB0BOCEKIDwbLHnuJaEQecz8tfSkF9qbe5avZ72uuk0Hea1ra9pbe5adbn0UoVO/KXpODgF9tBQBZ5+uukYwAlRAOHZvLyl/hebToGWihogXfqsSmpKdN+y+zrVqLfWcjgdum/ZfSqpKVG3Bx+Ub3y86UhooeBzz5XN29t0DOCEKIDwfJwG7ly8/KRJb0i+gZq+crryqzrfqLfWyq/K18MrH5Y9MFA9Zz3HqLhOhtO/6AwogPB8/ce5SgU6h3GPS92G6j87/qPFBxabTmPMtwe+1X93/lf+iYmK+fO9puOgmWy+vgr6+TmmYwAnRQGE5/MLkfpdZDoFmmPAL6Sz7nCNelvf+Ue9tdasdbO0q3iXIn7zGwWfd57pOGiGoHPPkVdwkOkYwElRAGENQ7iY3u2FdJcmzFZ1Q7WmLp2q2sZa04mMq22s1dQlU1XTUKPuM/4i7+ho05FwEl0uvdR0BKBZKICwhoGXSj6BplPgeGx26apXpKBIPbPmGWWUZphO5Db2lu7VM2u/HxU3k1Fx7swWEKCQ8883HQNoFn6SwBp8g7gb2J397B4pfqxSs1L10e6PTKdxOx/u+lAL9i1Q0FlnKfKWW0zHwXEEnzdW9kD+oYnOgQII6+A0sHvqdbp0/oPKqcjRo6seNZ3GbT268lHlVOQo+v/9Qf7Dh5mOg2Pg9C86EwogrKP/JVJAhOkU+DG/UGni62q02TRt2TSV13nuqLfWKqsrc62JaLep56xZsgcHm46EH/EKC+NGHXQqFEBYh4+/NPJ60ynwY1c8L4X31UubX9LG/I2m07i9Dfkb9PKWl+Xbq5e6Pfao6Tj4kbBJE2VnvUZ0IhRAWMvom103HMC8EddLQydpbe5a/Wvrv0yn6TT+teVfWpe7TqGXX67Qq64yHQeSZLcr7NprTacAWoTfhLCWiDgp4ULTKRDZX7rsWZXWlur+ZfdbatRbazU6G3X/8vtVWluqbtMfkm9srOlIlhd0zs/l26uX6RhAi1AAYT2n32o6gbU1jXoL0sMrHlZeVZ7pRJ1ObmWuHln5iGtU3POzZPPxMR3J0sKvu850BKDFKICwnv4XS2F9TKewroselboP07s739U3B74xnabTWrR/kd7b+Z78k5IUfe+fTMexLJ9evRR87rmmYwAtRgGE9djtrmsB0fH6XyKdfad2F+/Wc+ueM52m05u5bqZ2F+9WxA03KGgsJcSE8Gsny8bi3OiE+K6FNY38jetUJDpOcDfpytmqaahh1FsbqW2sbfpc9pgxQ17RUaYjWYrNz0+hEyeajgGcEgogrCkoUhp8pekU1mGzS798RQqK0rNrn9Wekj2mE3mMPSV7NHPtTHlHRKjnM89INpvpSJbR5ReXyDs83HQM4JRQAGFd3AzSccb8QYo/Twv3LdQHuz4wncbjvL/rfS3at0hBY8Yo8hYub+go3PyBzowCCOvqfYbUjZFa7a7naOmC6U13rqJ9PLzyYeVW5ir6//0/+Q/j+7q9+SclKWDECNMxgFNGAYS1nXOv6QSeza+LNPE116i3pdNUVldmOpHHahoV52VXz1nPMSqunUXefrvpCECrUABhbUkTpK5DTafwXFf8VYqI0ytbXtGG/A2m03i89Xnr9eqWV+Xbu7e6PcLR1vbil5iokIvHmY4BtAoFENZms0nn3286hWca/n/S0ElNpQQd45Utr2hD3gaFjr9CoRMmmI7jkaLv/r1s3GyDTs7mdDqdpkMAxr16nnRoo+kUniOyn/TbJSpVoyZ9MUm5lbmmE1lK96Du+mD8Bwpp8FbmLyeqbt8+05E8hv/QoYr74H3TMYBW4wggIEnnPWA6gefw8pUmvi75BevRlY9S/gzIqczRY6sekz0oSD0YFdemou/+vekIQJugAAKSNOBiqdfpplN4hgsfkXqM0Pvp72vh/oWm01jWgn0L9H76+woYPFjRf/yj6TgeIWDECMa+wWNQAIEfnM9RwFbrN046+y7tKXYtTgyzZq6dqb0lexVx040KOucc03E6veg/3G06AtBmKIDADxIukPqMMZ2i8wruKl35kmoddZqydIpqGmtMJ7K8msYaTVk6RXWOOvV4eoa8ohgVd6oCR49W0Bh+PsBzUACBH7vgQdMJOimbdNXLUnC0Zq6dyag3N7K7eLdrVFxkpHo8/TSj4k5R9P/7g+kIQJuiAAI/FvtzKY5rfFpszN1SwgVatH+R3kt/z3Qa/MR76e/pm/3fKPjnP1PETTeZjtPpBJ59lgJP5xpheBaWgQF+6tBG6V8XSE6H6SSdQ4/TpFtSlVtTqElfTFJpbanpRDiGUL9QfTj+Q3X1jVTWdf+nmrQ005E6B7tdse+/r4Ahg00nAdoURwCBn+oxUhp9i+kUnYNviDTpdTnsXrpv2X2UPzdWWluq+5fdL6e3l2tUXFCQ6UidQvh111H+4JEogMCxXDjddVMDTuyK56WIeL2y5RWtz1tvOg1OYl3eOteouL591e3h6abjuD2v6ChF3/P/TMcA2gUFEDgW/1Dp4qdMp3Bvw66Vhl2jjfkb9crmV0ynQTO9vPllbcrfpNAJE9QlebzpOG6t67T75BUSYjoG0C64BhA4kTeTpcwlplO4n4gE6falKrM5NOnzScqpzDGdCC3QI6iHPkj+QEF1Xsqc+EvV79tvOpLbCRpztvq88YbpGEC74QggcCKXz3KNNsP/2H2kSf8b9Ub563wOVR7SoysflVdwkHo+N0tiVNwRbL6+6jqdU+TwbBRA4ESi+ks/4xqgI1z4sNRjpD7Y9YEW7FtgOg1O0YJ9C/Thrg8VMHSIYrjO7QiRt94iv7g40zGAdsUpYOBk6muk2WdKxVmmk5iXcKF0/UfaW5qha7+8lmkfnVyAd4DevfxdxYXG6cCtt6lyxQrTkYzz6dNH8V98Lrufn+koQLviCCBwMj7+0mXPmU5hXlCMdNXLqnXUaerSqZQ/D1DdUK0pS6eo3lGvHs88La/ISNORjOs2/SHKHyyBAgg0R/9xUmKy6RQG2aSrXpKCY/Tc2ue0q3iX6UBoI7uKd+m5dc/JOypKPZ6eYelRcSGXXKLgc84xHQPoEBRAoLkue04Kijadwoyz75L6XaRv93+rd9PfNZ0Gbey/O/+rxQcWK/iccxRxww2m4xjhFRmpbtMfMh0D6DBcAwi0xO4F0jtXS7LQX5seI6VbFiivpkiTvpikktoS04nQDsL8wvRR8keK9g5zjYrbts10pI5js6n3q69w9A+WwhFAoCX6j5POutN0io7jGyxNdI16u3/5/ZQ/D1ZSW+IaFefj7RoVFxhoOlKHibjhBsofLIcCCLTURY9K3YebTtExLntOikzQv7b8S2tz15pOg3a2JneNXtv6mnxjYy2zDp7/4MGK+dMfTccAOhwFEGgpb19p0hzX0TFPNmyyNOI6bcrfpJc3v2w6DTrIS5te0qb8TQq76kp1Ge/Zo+LsgYHqOes52XxZ7B3WQwEETkVkgnTps6ZTtJ/wOOnyWSqvK9e0pdPU4GwwnQgdpMHZoPuW3afyunJ1e+QR+fTubTpSu+k6fbp8Y2NNxwCMoAACp2rkr6ShV5tO0faaRr2F6LFVj+lQ5SHTidDBsiuy9diqx1yj4mY955Gj4rqMH6+wq640HQMwhgIItMblz0vhsaZTtK0LHpJ6jtJHuz7S/Kz5ptPAkPlZ8/Xx7o8VMGyYov9wt+k4bcqnd291e+QR0zEAoyiAQGv4d5EmvuE6auYJ4s+Xfvb/lFGaoWfWPmM6DQx7es3TyijNUOSttypozBjTcdqGj496znpOXsFBppMARlEAgdbqNUoa95jpFK0XFC1d9YrqHPWaumSqqhuqTSeCYdUN1Zq2dNr/RsVFRJiO1Gox9/5JAcOGmY4BGEcBBNrC2XdJo240naIVbNKVL0khXTVr3SylF6ebDgQ3sbNop55f/7y8o6M7/ai4sMmTFXnjjaZjAG6BAgi0lctmuU6hdkZn3Sn1H6clB5boPzv/YzoN3Mw7O97RkgNLFHzuuYr4za9NxzklQT/7GaPegB9hFBzQlmpKpdcvlg7vNJ2k+boPl25ZqPy6Ek36fJKKa4tNJ4IbCvcL10fJHynKO1SZ116r2u07TEdqNr/+/dT3P/+RV0iI6SiA2+AIINCW/EOl/3vfdT1dZ+AbLE2aI4eXtx5Y9gDlD8dVXFv8o1Fxs2TrJKPivCIj1eullyl/wE9QAIG2Ft5Xuva/kre/6SQnd+mzUmSCXt/6ulbnrjadBm5ude5qvZH2hvzi4tTtwQdNxzkpm5+fes/+p3x79TQdBXA7FECgPfQ+3XVThdz4gvmhV0sjf6XNhzdr9qbZptOgk/jnxn9qy+EtCpv4S3W5/HLTcY7PZlOPZ55WwHCLzO0GWohrAIH2tHSm9M2TplMcLTxWun2Zyu02Xf3F1cquyDadCJ1Iz+Ce+nD8hwqokzKvvEr1Bw+ajnSU6HvuUdQdt5uOAbgtjgAC7encKdKIX5lOcSS7j2vxav8uemLVE5Q/tFh2RbYeX/W4vIKDXaPivL1NRzpC6FVXUf6Ak6AAAu1t/N+kAb8wneJ/zn9A6jVKn+z+RClZKabToJNKyUrRJ7s/UcDw4Yq+231GxQWfd566P+4BC7MD7YxTwEBHaKiT3rte2m14tm78edKvP1VmWZYmfzmZaR9olQDvAL1/xfvqG9JH+2+5RVWrvjOaJ/i889Tr73+TzdfXaA6gM+AIINARvH2lyf+W+l9iLkNglHTVK6p3NGja0mmUP7RadUO1pi6dqgZno3o884y8wsONZaH8AS1DAQQ6irevNPltQyXwh1Fv3fT8+ue1o6jzLOIL97ajaIf+uuGv8omJUfcZfzGSIXjsWMof0EIUQKAjefuZKYFn3iENuFhLDy7VOzve6djXhsf79/Z/a9nBZQo57zyF/7pjR8UFjx2rXi/+nfIHtBDXAAImNNR+f01gavu/Vrdh0q2LVFBfpomfT1RRTVH7vyYsJ8I/Qh8lf6QIry7Kmnytane0/1Fmyh9w6jgCCJjg7ff9NYEXt+/r+ARJk96Q08tH9y+7n/KHdlNUU6QHlj0gm49Ph4yKCx47Vj0pf8ApowACpnRECbz0GSmqv95Ie0Pf5Zi9QxOeb1XOKs3ZNkd+8XHq9sD97fY6P5Q/O+UPOGUUQMCkH0pg4vi23/eQidJpv9bWw1v1j03/aPv9A8fw4sYXlVaQprBJk9TlskvbfP8h48ZR/oA2wDWAgDtwOqUF06WVL7bN/sL6SncsU4XdS1d/cbUOVrjfqC54rt4hvfXB+A/kX+NwjYrLbptpMxG33KyYP/9ZNpsbz9gGOgmOAALuwGaTLn5SuuIFyd7KsVp2b2ni65J/qJ747gnKHzrcgfIDeuK7J+QVEqIez81s/ag4b291e/wxdZ0yhfIHtBEKIOBORt8k/eoDyS/01Pdx3v1S79P12Z7P9HXm122XDWiBrzK+0ud7P1fgyJGK/v1dp7wfe0iI+rz6isKvuaYN0wHgFDDgjvJ3Sv+5WirZ37KPiztX+vVn2ldxQNd8cY2qGqraJx/QDIHegXp//PvqE9xb+2+6WVWrV7fo43169lTvV16WX79+7ZQQsC6OAALuKGaQdOs3Uq/Tm/8xgZHSVa+q3tmoKUumUP5gXFVDlWtUnBrV49ln5RUW1uyPDRg+XLHvv0f5A9oJBRBwV8HR0g1fSoOvat7zJ8yWunTXCxteYNQb3Mb2wu362/q/yadrjLr/pXmj4kIu/YX6vPWmvCMj2zkdYF0UQMCd+fhLk+ZI59x74uedcbs08Bdanr1cb29/u2OyAc301va3tCJ7hUIuOF/hv/rVCZ8befvt6vn887L7+XVQOsCauAYQ6Cy2fyZ9drdUW3rk412HSrctUkF9OaPe4LYi/SP1YfKHrlFxV1+j2vT0I95vDwlR9yefVJdL2nk6DgBJHAEEOo+kCdLtS6QeI//3mE/g96PefPXg8gcpf3BbhTWFemj5Q65Rcc/Pki0goOl9/kOGKO7jjyh/QAeiAAKdSUScdHOqdOYdrrd/8bQUPUBzt83VykMrzWYDTmLFoRV6c9ub8ktIUNf775Mkhf/m14r9zzvy7d3bcDrAWjgFDHRWB9dJvUZrW8E2XZ9yvRocDaYTASflbffWvy/9twZHDVb15s0KGD7cdCTAkjgCCHRWvUZLkv6z8z+UP3QaDY4G/XfnfyWJ8gcYxBFAoJNzOB16I+0N/XPTPymCcGvedm/dNeIu3TzkZtltHH8ATKIAAh5iW+E23bf0PmWVZZmOAhwlLjROT5/ztJIik0xHASAKIOBRqhuq9dza5/T+rvdNRwGaTB44WfeOvlcB3gEnfzKADkEBBDzQutx1emr1U9pTssd0FFhYv7B+euishzSq6yjTUQD8BAUQ8FD1jnq9vf1tvbz5ZVU3VJuOAwsJ8A7Q74b/Tr9O+rW87d6m4wA4Bgog4OFyKnL09Jqn9c2Bb0xHgQVc0PsC3XfGfeoe3N10FAAnQAEELGLJgSWasWaGsiuyTUeBB+oZ3FP3n3G/xvYeazoKgGagAAIWUt1QrVe3vKq52+ayZAzahI/dRzcOvlG/HfZb+Xv7m44DoJkogIAFZZRk6KnVT2lN7hrTUdCJndHtDD141oOKD403HQVAC1EAAQtbenCpZm+arW2F20xHQScyJHKI7hxxp87pdY7pKABOEQUQgL7d/61mb56tnUU7TUeBGxsUMUh3Dr9T5/c533QUAK1EAQQgSXI6nVq4f6Fmb5rN+oE4Qr+wfrprxF26sM+FstlspuMAaAMUQABHcDqdmp81X7M3z1ZmaabpODAoPjRevxv+O10SewnFD/AwFEAAx+RwOvRVxld6efPL2l++33QcdKC+Xfrq9mG36/L4y2W32U3HAdAOKIAATqjB0aAF+xbo3Z3vakP+BtNx0I5OizlN1w66Vhf3vVhedi/TcQC0IwoggGbbXbxb76W/py8zvlRlfaXpOGgDQT5BuiL+Ck0eOFn9w/ubjgOgg1AAAbRYZX2lvtz7pd5Nf5cbRjqp/uH9NXnAZI1PGK9An0DTcQB0MAoggFZZn7de7+18Twv3L1S9o950HJyAj91HF/W5SJMHTdaorqNMxwFgEAUQQJsoqC7QJ7s/0VcZX2lv6V7TcfAjCaEJujz+cv2y/y8VGRBpOg4AN0ABBNDmMkoztCBrgRbuX8ji0oYkRiTqor4X6aK+FzGqDcBRKIAA2tWB8gNauG+hFu5bqK0FW+UUP3Lag002DY0a2lT6eof0Nh0JgBujAALoMLmVuVq4b6EW7FugTYc3yeF0mI7Uqdltdo2MGalxfcfpwj4XqltQN9ORAHQSFEAARhRUF2h1zmqtz1uvDXkblFGawdHBk7DJpvjQeI3qOkqndT1NZ3Y/U1EBUaZjAeiEKIAA3EJxTbE25G/Q+rz1Wp+3XulF6Wp0NpqOZZSXzUsDIwZqVNdRrtIXc5rC/cNNxwLgASiAANxSZX2lNuVvaiqEO4p2qLqh2nSsdhXgHaDEiMSmwjciZoSCfIJMxwLggSiAADoFp9OpQ5WHlFmaqYySDGWUZiizNFOZpZkqri02Ha9Fwv3CFRcap/iweMV1cf03PjRe3YO6y2azmY4HwAIogAA6veKaYlcxLHUVw31l+1RQXaCSmhIV1xZ3+JHDAO8AhfuFK8w/TFEBUerbpa/iQ10lLy40jtO4AIyjAALweDUNNSqpLVFxTbGKa4ubimFxTbFKaktUUV+hRkejGp2NanQ0yuF0qMHZIEnytnnLbrPLy+4lL5uXvOxeCvYJVphfmML9w5uKXrhfuOtt/3D5efkZ/hMDwIlRAAEAACzGbjoAAAAAOhYFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMRRAAAAAi6EAAgAAWAwFEAAAwGIogAAAABZDAQQAALAYCiAAAIDFUAABAAAshgIIAABgMf8faQYFe8ngH1cAAAAASUVORK5CYII=" 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", + "text/plain": [ + "" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y = np.array([0.1, 0.9])\n", + "plt.pie(y, startangle = 90)\n", + "plt.title(\"biased coin\")\n", + "plt.savefig(\"biased\", transparent=True)\n", + "plt.show() " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "y = np.array([1/4, 1/4, 1/6, 1/6, 1/6])\nmyexplode = [0.01, 0.01, 0.01, 0.01, 0.01]\nplt.pie(y, startangle = 90, explode = myexplode)\nplt.savefig(\"process_example\", transparent=True)\nplt.show() \n# TODO: adjust colors to the ones used on the slide", - "metadata": { - "trusted": true - }, - "execution_count": 7, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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", + "text/plain": [ + "" ] - }, - { - "cell_type": "code", - "source": "import piplite\nawait piplite.install('ipywidgets')\nfrom ipywidgets import interactive\n", - "metadata": { - "trusted": true - }, - "execution_count": 8, - "outputs": [] - }, - { - "cell_type": "code", - "source": "# from https://www.geeksforgeeks.org/python-binomial-distribution/\nfrom scipy.stats import binom\n\ndef plot_binomial(n=6, p=0.5):\n \"\"\"Plot the probability mass of a binomial distribution\"\"\"\n\n # defining list of r values\n k_values = list(range(n + 1))\n # list of pmf values\n dist = [binom.pmf(k, n, p) for k in k_values ]\n # plotting the graph \n plt.bar(k_values, dist)\n plt.xlabel(r\"$k$\")\n plt.ylabel(r\"$\\binom{n}{k} p^k (1-p)^{n-k}$\")\n plt.title(\"binomial distribution\")\n plt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 9, - "outputs": [] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y = np.array([1/5, 1/5, 1/5, 1/5, 1/5])\n", + "myexplode = [0.01, 0.01, 0.01, 0.01, 0.01]\n", + "plt.pie(y, startangle = 90, explode = myexplode)\n", + "plt.title(\"uniform distribution\")\n", + "plt.savefig(\"unif\", transparent=True)\n", + "plt.show() \n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "w=interactive(plot_binomial,n=(0,20),p=(0.0,1.0))\nw", - "metadata": { - "trusted": true - }, - "execution_count": 10, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "interactive(children=(IntSlider(value=6, description='n', max=20), FloatSlider(value=0.5, description='p', max…", - "application/vnd.jupyter.widget-view+json": { - "version_major": 2, - "version_minor": 0, - "model_id": "e8ece98ea99743c4a03f3b34dac33bde" - } - }, - "metadata": {} - }, - { - "execution_count": 10, - "output_type": "execute_result", - "data": {}, - "metadata": {} - } + "data": { + "image/png": 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", + "text/plain": [ + "" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y = np.array([1/4, 1/4, 1/6, 1/6, 1/6])\n", + "myexplode = [0.01, 0.01, 0.01, 0.01, 0.01]\n", + "plt.pie(y, startangle = 90, explode = myexplode)\n", + "plt.savefig(\"process_example\", transparent=True)\n", + "plt.show() \n", + "# TODO: adjust colors to the ones used on the slide" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "def plot_binomial_pie(n=6, p=0.5):\n \"\"\"Plot the probability mass of a binomial distribution\"\"\"\n\n # defining list of r values\n k_values = list(range(n + 1))\n # list of pmf values\n dist = [binom.pmf(k, n, p) for k in k_values ]\n # plotting the graph \n plt.pie(dist, labels = k_values, startangle = 90)\n plt.title(\"binomial distribution\") \n plt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 11, - "outputs": [] - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: ipywidgets in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (8.1.3)\n", + "Requirement already satisfied: comm>=0.1.3 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from ipywidgets) (0.2.2)\n", + "Requirement already satisfied: ipython>=6.1.0 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from ipywidgets) (8.25.0)\n", + "Requirement already satisfied: traitlets>=4.3.1 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from ipywidgets) (5.14.3)\n", + "Requirement already satisfied: widgetsnbextension~=4.0.11 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from ipywidgets) (4.0.11)\n", + "Requirement already satisfied: jupyterlab-widgets~=3.0.11 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from ipywidgets) (3.0.11)\n", + "Requirement already satisfied: 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"Requirement already satisfied: colorama in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from ipython>=6.1.0->ipywidgets) (0.4.6)\n", + "Requirement already satisfied: parso<0.9.0,>=0.8.3 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from jedi>=0.16->ipython>=6.1.0->ipywidgets) (0.8.4)\n", + "Requirement already satisfied: wcwidth in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from prompt-toolkit<3.1.0,>=3.0.41->ipython>=6.1.0->ipywidgets) (0.2.13)\n", + "Requirement already satisfied: executing>=1.2.0 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from stack-data->ipython>=6.1.0->ipywidgets) (2.0.1)\n", + "Requirement already satisfied: asttokens>=2.1.0 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from stack-data->ipython>=6.1.0->ipywidgets) (2.4.1)\n", + "Requirement already satisfied: pure-eval in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from stack-data->ipython>=6.1.0->ipywidgets) (0.2.2)\n", + "Requirement already satisfied: six>=1.12.0 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from asttokens>=2.1.0->stack-data->ipython>=6.1.0->ipywidgets) (1.16.0)\n" + ] + } + ], + "source": [ + "!pip install ipywidgets\n", + "from ipywidgets import interactive\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# from https://www.geeksforgeeks.org/python-binomial-distribution/\n", + "from scipy.stats import binom\n", + "from matplotlib import pyplot as plt\n", + "\n", + "def plot_binomial(n=6, p=0.5):\n", + " \"\"\"Plot the probability mass of a binomial distribution\"\"\"\n", + "\n", + " # defining list of r values\n", + " k_values = list(range(n + 1))\n", + " # list of pmf values\n", + " dist = [binom.pmf(k, n, p) for k in k_values ]\n", + " # plotting the graph \n", + " plt.bar(k_values, dist)\n", + " plt.xlabel(r\"$k$\")\n", + " plt.ylabel(r\"$\\binom{n}{k} p^k (1-p)^{n-k}$\")\n", + " plt.title(\"binomial distribution\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "w=interactive(plot_binomial_pie,n=(0,20),p=(0.0,1.0))\nw", - "metadata": { - "trusted": true + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "38824ad9c8a943b1b49af2c8e87f72f9", + "version_major": 2, + "version_minor": 0 }, - "execution_count": 12, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "interactive(children=(IntSlider(value=6, description='n', max=20), FloatSlider(value=0.5, description='p', max…", - "application/vnd.jupyter.widget-view+json": { - "version_major": 2, - "version_minor": 0, - "model_id": "63092692d06b42dfa843ee7947ea2bd7" - } - }, - "metadata": {} - }, - { - "execution_count": 12, - "output_type": "execute_result", - "data": {}, - "metadata": {} - } + "text/plain": [ + "interactive(children=(IntSlider(value=6, description='n', max=20), FloatSlider(value=0.5, description='p', max…" ] - }, + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w=interactive(plot_binomial,n=(0,20),p=(0.0,1.0))\n", + "w" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_binomial_pie(n=6, p=0.5):\n", + " \"\"\"Plot the probability mass of a binomial distribution\"\"\"\n", + "\n", + " # defining list of r values\n", + " k_values = list(range(n + 1))\n", + " # list of pmf values\n", + " dist = [binom.pmf(k, n, p) for k in k_values ]\n", + " # plotting the graph \n", + " plt.pie(dist, labels = k_values, startangle = 90)\n", + " plt.title(\"binomial distribution\") \n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "from collections import Counter\nimport math\nimport string\nimport re\n\n## Alice's Adventures in Wonderland: https://www.gutenberg.org/files/11/11-0.txt\n\n## parse input file, convert to lowercase, remove punctuation\nwith open(\"Alice_eng.txt\") as f:\n Alice_data = f.read().lower()\n Alice_data = re.sub(r'([^a-z\\s])+', ' ', Alice_data) # strip everything but the letters\n Alice_data = re.sub(r'\\n+', ' ', Alice_data) # replace new lines with space\n Alice_data = re.sub(r'\\s+', ' ', Alice_data) # replace multiple spaces with a single space\n Alice_data = Alice_data[:100000]\n \nwith open(\"Alice_stripped.txt\", 'w') as f:\n f.write(Alice_data)\n \ncount = Counter(Alice_data)\ntotal_count = sum(count.values())\n\nletters, letter_freq = zip(*count.most_common())\nletter_dist = [x/total_count for x in letter_freq]\n\nplt.pie(letter_freq, labels = letters, startangle = 90)\nplt.title(\"letter frequencies\")\nplt.savefig(\"letterfreq\", transparent=True)\nplt.show()\n", - "metadata": { - "trusted": true + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "591e41e071fb4204b98de814d0e397d1", + "version_major": 2, + "version_minor": 0 }, - "execution_count": 13, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" - }, - "metadata": {} - } + "text/plain": [ + "interactive(children=(IntSlider(value=6, description='n', max=20), FloatSlider(value=0.5, description='p', max…" ] - }, - { - "cell_type": "markdown", - "source": "# Sampling from Probability Distributions", - "metadata": {} - }, + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w=interactive(plot_binomial_pie,n=(0,20),p=(0.0,1.0))\n", + "w" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "from random import random\nrandom()", - "metadata": { - "trusted": true - }, - "execution_count": 64, - "outputs": [ - { - "execution_count": 64, - "output_type": "execute_result", - "data": { - "text/plain": "0.4426347659936257" - }, - "metadata": {} - } + "data": { + "image/png": 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", + "text/plain": [ + "
" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from collections import Counter\n", + "import math\n", + "import string\n", + "import re\n", + "\n", + "## Alice's Adventures in Wonderland: https://www.gutenberg.org/files/11/11-0.txt\n", + "\n", + "## parse input file, convert to lowercase, remove punctuation\n", + "with open(\"Alice_eng.txt\",encoding=\"utf-8\") as f:\n", + " Alice_data = f.read().lower()\n", + " Alice_data = re.sub(r'([^a-z\\s])+', ' ', Alice_data) # strip everything but the letters\n", + " Alice_data = re.sub(r'\\n+', ' ', Alice_data) # replace new lines with space\n", + " Alice_data = re.sub(r'\\s+', ' ', Alice_data) # replace multiple spaces with a single space\n", + " Alice_data = Alice_data[:100000]\n", + " \n", + "with open(\"Alice_stripped.txt\", 'w') as f:\n", + " f.write(Alice_data)\n", + " \n", + "count = Counter(Alice_data)\n", + "total_count = sum(count.values())\n", + "\n", + "letters, letter_freq = zip(*count.most_common())\n", + "letter_dist = [x/total_count for x in letter_freq]\n", + "\n", + "plt.pie(letter_freq, labels = letters, startangle = 90)\n", + "plt.title(\"letter frequencies\")\n", + "plt.savefig(\"letterfreq\", transparent=True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sampling from Probability Distributions" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "if random() <= 0.5:\n print(0)\nelse:\n print(1)", - "metadata": { - "trusted": true - }, - "execution_count": 23, - "outputs": [ - { - "name": "stdout", - "text": "0\n", - "output_type": "stream" - } + "data": { + "text/plain": [ + "0.7842071450302609" ] - }, - { - "cell_type": "code", - "source": "import numpy as np\nfrom numpy.random import default_rng\n\ndef sample(labels, prob_dist):\n '''\n :param labels: a list of labels for the distribution\n :param prob_dist: a list of non-negative floats that sum to 1\n must have the same length as labels\n :return: samples a label according to prob_dist\n '''\n assert(all(p>=0 for p in prob_dist))\n assert(np.isclose(sum(prob_dist),1))\n assert(len(labels)==len(prob_dist))\n\n rng = default_rng()\n return rng.choice(labels, p=prob_dist)\n", - "metadata": { - "trusted": true - }, - "execution_count": 24, - "outputs": [] - }, + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from random import random\n", + "random()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "def my_sample(labels, prob_dist):\n '''\n :param labels: a list of labels for the distribution\n :param prob_dist: a list of non-negative floats that sum to 1\n must have the same length as labels\n :return: samples a label according to prob_dist\n '''\n assert(all(p>=0 for p in prob_dist))\n assert(np.isclose(sum(prob_dist),1))\n assert(len(labels)==len(prob_dist))\n\n rng = default_rng()\n random_value = rng.random() # a random float in the interval [0,1)\n \n p_mass = prob_dist[0]\n i = 0\n while p_mass < random_value:\n i += 1\n p_mass += prob_dist[i]\n \n return labels[i]", - "metadata": { - "trusted": true - }, - "execution_count": 25, - "outputs": [] - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + } + ], + "source": [ + "if random() <= 0.5:\n", + " print(0)\n", + "else:\n", + " print(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from numpy.random import default_rng\n", + "\n", + "def sample(labels, prob_dist):\n", + " '''\n", + " :param labels: a list of labels for the distribution\n", + " :param prob_dist: a list of non-negative floats that sum to 1\n", + " must have the same length as labels\n", + " :return: samples a label according to prob_dist\n", + " '''\n", + " assert(all(p>=0 for p in prob_dist))\n", + " assert(np.isclose(sum(prob_dist),1))\n", + " assert(len(labels)==len(prob_dist))\n", + "\n", + " rng = default_rng()\n", + " return rng.choice(labels, p=prob_dist)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "def my_sample(labels, prob_dist):\n", + " '''\n", + " :param labels: a list of labels for the distribution\n", + " :param prob_dist: a list of non-negative floats that sum to 1\n", + " must have the same length as labels\n", + " :return: samples a label according to prob_dist\n", + " '''\n", + " assert(all(p>=0 for p in prob_dist))\n", + " assert(np.isclose(sum(prob_dist),1))\n", + " assert(len(labels)==len(prob_dist))\n", + "\n", + " rng = default_rng()\n", + " random_value = rng.random() # a random float in the interval [0,1)\n", + " \n", + " p_mass = prob_dist[0]\n", + " i = 0\n", + " while p_mass < random_value:\n", + " i += 1\n", + " p_mass += prob_dist[i]\n", + " \n", + " return labels[i]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "[sample([1, 2, 3, 4], [0.7, 0.1, 0.1, 0.1]) for i in range(20)]", - "metadata": { - "trusted": true - }, - "execution_count": 26, - "outputs": [ - { - "execution_count": 26, - "output_type": "execute_result", - "data": { - "text/plain": "[1, 1, 1, 1, 1, 1, 4, 1, 1, 3, 2, 2, 1, 4, 1, 1, 1, 1, 1, 1]" - }, - "metadata": {} - } + "data": { + "text/plain": [ + "[np.int64(3),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(4),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(3),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(3),\n", + " np.int64(2),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(1),\n", + " np.int64(2)]" ] - }, - { - "cell_type": "code", - "source": "from random import random\n\ndef my_sample(labels, prob_dist):\n\n # a random float in the interval [0,1)\n random_value = random() \n \n p_mass = prob_dist[0]\n i = 0\n while p_mass < random_value:\n i += 1\n p_mass += prob_dist[i]\n \n return labels[i]", - "metadata": { - "trusted": true - }, - "execution_count": 27, - "outputs": [] - }, + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[sample([1, 2, 3, 4], [0.7, 0.1, 0.1, 0.1]) for i in range(20)]" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "from random import random\n", + "\n", + "def my_sample(labels, prob_dist):\n", + "\n", + " # a random float in the interval [0,1)\n", + " random_value = random() \n", + " \n", + " p_mass = prob_dist[0]\n", + " i = 0\n", + " while p_mass < random_value:\n", + " i += 1\n", + " p_mass += prob_dist[i]\n", + " \n", + " return labels[i]" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "samples = ''\nfor i in range(60):\n samples += my_sample(['a', 'b', 'c', 'd', 'e', 'f'], \n [0.27, 0.23, 0.165, 0.165, 0.09,0.08])\nsamples", - "metadata": { - "trusted": true - }, - "execution_count": 28, - "outputs": [ - { - "execution_count": 28, - "output_type": "execute_result", - "data": { - "text/plain": "'caacfefeccbccbbbacaadbbbdcdcbeabddcdeeeaaaaefdfebaaaacdbabba'" - }, - "metadata": {} - } + "data": { + "text/plain": [ + "'bbdecfcdeabccbfbabcbbadacedcaceddcbdfafdacbbffcfcafdcbbcbdfd'" ] - }, - { - "cell_type": "code", - "source": "import matplotlib.pyplot as plt\n\ndef horizontal_bars(prob_dist, labels=False):\n # adapted from https://matplotlib.org/stable/gallery/lines_bars_and_markers/horizontal_barchart_distribution.html\n if labels:\n assert(len(prob_dist)==len(labels))\n \n data = np.array(prob_dist)\n data_cum = data.cumsum()\n\n fig, ax = plt.subplots(figsize=(6,2.5))\n # squeeze a bit from the bottom to make the bar of reasonable hight\n fig.subplots_adjust(bottom=0.6) \n \n ax.set_xlim(0, np.sum(data).max())\n ax.set_ylim(-0.5, 0.5)\n ax.yaxis.set_visible(False)\n ax.margins(x=0.2)\n\n for i in range(len(data)):\n widths = data[i]\n starts = data_cum[i] - widths\n if labels:\n rects = ax.barh(0, widths, left=starts, height=0.8, label=labels[i])\n else:\n rects = ax.barh(0, widths, left=starts, height=0.8, label=i)\n ax.bar_label(rects, label_type='center', color='white')\n\n if labels:\n ax.legend(ncol=len(data), bbox_to_anchor=(0, 1),\n loc='lower left', fontsize='small')\n\n plt.savefig(\"interval\", transparent=True)\n plt.show()\n", - "metadata": { - "trusted": true - }, - "execution_count": 29, - "outputs": [] - }, + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "samples = ''\n", + "for i in range(60):\n", + " samples += my_sample(['a', 'b', 'c', 'd', 'e', 'f'], \n", + " [0.27, 0.23, 0.165, 0.165, 0.09,0.08])\n", + "samples" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "def horizontal_bars(prob_dist, labels=False):\n", + " # adapted from https://matplotlib.org/stable/gallery/lines_bars_and_markers/horizontal_barchart_distribution.html\n", + " if labels:\n", + " assert(len(prob_dist)==len(labels))\n", + " \n", + " data = np.array(prob_dist)\n", + " data_cum = data.cumsum()\n", + "\n", + " fig, ax = plt.subplots(figsize=(6,2.5))\n", + " # squeeze a bit from the bottom to make the bar of reasonable hight\n", + " fig.subplots_adjust(bottom=0.6) \n", + " \n", + " ax.set_xlim(0, np.sum(data).max())\n", + " ax.set_ylim(-0.5, 0.5)\n", + " ax.yaxis.set_visible(False)\n", + " ax.margins(x=0.2)\n", + "\n", + " for i in range(len(data)):\n", + " widths = data[i]\n", + " starts = data_cum[i] - widths\n", + " if labels:\n", + " rects = ax.barh(0, widths, left=starts, height=0.8, label=labels[i])\n", + " else:\n", + " rects = ax.barh(0, widths, left=starts, height=0.8, label=i)\n", + " ax.bar_label(rects, label_type='center', color='white')\n", + "\n", + " if labels:\n", + " ax.legend(ncol=len(data), bbox_to_anchor=(0, 1),\n", + " loc='lower left', fontsize='small')\n", + "\n", + " plt.savefig(\"interval\", transparent=True)\n", + " plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "horizontal_bars([0.27, 0.23, 0.165, 0.165, 0.09,0.08], ['a','b','c','d','e','f'])", - "metadata": { - "trusted": true - }, - "execution_count": 30, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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+ "text/plain": [ + "
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satisfied: matplotlib!=3.6.1,>=3.4 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from seaborn) (3.8.4)\n", + "Requirement already satisfied: contourpy>=1.0.1 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (1.2.1)\n", + "Requirement already satisfied: cycler>=0.10 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (0.12.1)\n", + "Requirement already satisfied: fonttools>=4.22.0 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (4.51.0)\n", + "Requirement already satisfied: kiwisolver>=1.3.1 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (1.4.5)\n", + "Requirement already satisfied: packaging>=20.0 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (24.1)\n", + "Requirement already satisfied: pillow>=8 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (10.3.0)\n", + "Requirement already satisfied: pyparsing>=2.3.1 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (3.1.2)\n", + "Requirement already satisfied: python-dateutil>=2.7 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (2.9.0.post0)\n", + "Requirement already satisfied: pytz>=2020.1 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from pandas>=1.2->seaborn) (2024.1)\n", + "Requirement already satisfied: tzdata>=2022.7 in c:\\users\\normando\\appdata\\roaming\\jupyterlab-desktop\\jlab_server\\lib\\site-packages (from pandas>=1.2->seaborn) (2024.1)\n", + "Requirement already satisfied: six>=1.5 in c:\\users\\normando\\appdata\\roaming\\python\\python312\\site-packages (from python-dateutil>=2.7->matplotlib!=3.6.1,>=3.4->seaborn) (1.16.0)\n" + ] + } + ], + "source": [ + "!pip install seaborn " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "import numpy as np\nimport matplotlib.pyplot as plt\nimport seaborn as sns\n\nNUM_ROLLS = 1000\n\nplt.close()\nplt.gcf().subplots_adjust() \n\nvalues = [1, 2, 3, 4, 5, 6]\nsample = np.random.choice(values, NUM_ROLLS)\n\n# Numpy arrays containing counts for each side\nside, count = np.unique(sample, return_counts=True)\nprobs = count / len(sample)\n\n# Plot the results\nsns.barplot(x=side, y=probs)\nplt.title(\n f\"Discrete Probability Distribution for Fair 6-Sided Die ({NUM_ROLLS} rolls)\")\nplt.ylabel(\"Probability\")\nplt.xlabel(\"Outcome\")\nplt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 45, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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0f//+bDscstZxzJgx2rp1a75fu4WOQ/c/FhK5HQLO4uXlZTRq1Mjy85AhQ4zrN9+YMWMMScaxY8dyHGPatGmGJGP06NHZHss6hynrkJ+np6eRmppq1efBBx80QkNDrc7fyczMNJo3b25Ur17d0pbTIeBz584ZZcqUMXr27GnVnpycbHh5eWVrv1HWYdRp06YZx44dM44ePWosWbLECA4ONpycnCzbL2vb3Lh7f9OmTYYko0ePHlbt/fv3NyQZv/76q6UtKCjIkGR8//33lrYzZ84YFSpUsHoeLl++nO1ct3379hlubm7GsGHDstVesWJF4+zZs5b2+fPnG5KMcePGWdpsHfZRHg4h5HQI+IsvvjAkGdu3b7e0paenGz4+Pjc9rJnbIeAs7du3NyRZzgPLWtes5/+vv/7K0+HvnA6z5vR8Xv/Y9SQZkowNGzZY2g4cOGC4u7sbTz75pKUtp8NrtsbMqbYbn4fU1FTD1dXVePjhh61eFxMmTLC8drO0atXKkGR88803lra0tDTD39/fePrpp7Mt60a2Dvv9+OOPhiTjgw8+sGrv2LGj4eTkZOzevdvSJslwdnY2tm7detNlXV/vjVPWdrF1isr//M//GCVKlLD6zLhxu+f2mWPLokWLDElGuXLljOrVqxvTp083pk+fblSvXt1wdXXNdr60LcuXLzdcXFwMFxcXIzw83HjrrbeMZcuW2TwnLigoyOq579u3ryHJ6vBzamqq4eXlZfVayM/nXcOGDY0KFSoYp0+ftqpR0i0dAs7yww8/ZPucuXG9hg8fbpQsWTLbeXHvvPOO4eLiYhw8eDDXGipVqnTT121uh4CzHrv+/ZDlzTffNCRZXke9evUyXFxcbC7D19fXePbZZy0/lyxZ0njxxRez9VuyZIkhyYiLi8u15qzX/ZQpU6zax44da0gyvv32W0tbenq6ER4ebpQqVcrqc/5mn99Zz09uGSDL2rVrDUnGvHnzbtq3sOMQcB6VKlUq16uBsw5lLF68OMfd9d9//718fHz0+uuvZ3vsxsNoTz/9tHx9fS0/nzx5Ur/++queeeYZnTt3TsePH9fx48d14sQJRUZGateuXTpy5Eiu67BixQqdPn1aUVFRlvmPHz8uFxcXhYWFadWqVbnOn+XFF1+Ur6+vAgIC1K5dO8vhuRv/GnzllVesfs76CzI2Ntaq/Y033pAkq8MGkhQQEKAnn3zS8rOnp6e6du2qv/76S8nJyZKuHd7I+ssyIyNDJ06csBx+t3WVWdeuXVW6dGnLzx07dlSFChVu66X9zzzzjNzd3TV79mxL27Jly3T8+HHLX8m3olSpUpKU4+vTy8vLssz8Hqq73o3PZ27Cw8PVpEkTy8+VK1dW+/bttWzZsmyHJO1p5cqVSk9PV9++fa32OPTs2VOenp7ZXmOlSpWyeg5cXV3VrFmzAl/VvnTpUrm4uKh3795W7W+88YYMw9Avv/xi1d6qVSvVqVMnz+MHBwdrxYoVVtNbb70lSVZ7wLI+I1q2bKmLFy/m6SrhGz9zcnL+/HnLMuLj49W9e3d1795dK1eulGEYNz2ELl07jJaQkKAnnnhCf//9tz755BNFRkaqYsWKVqe02LJ06VLde++9atasmaXN19dXXbp0seqX18+7pKQkbdq0Sd26dbO8V7JqzM9zk5ubvUclacGCBWrZsqXKli1rVW9ERIQyMjKynUJxoxMnTqhs2bIFrvHSpUuSrn2m3sjd3d2qz6VLl+Tq6mpzHHd3d0u/rL55GTM3bm5uio6OtmpbunSp/P39FRUVZWkrXry4evfurfPnz2vNmjU3HTdL1u/v//znP7py5UqufbO28Y174osiDgHn0fnz57Odm3K9zp076+uvv1aPHj30zjvv6MEHH9RTTz2ljh07Wn4R7dmzRzVr1lSxYjff7CEhIVY/7969W4Zh6L333svxMvTU1FRVrFgxxzF37dol6f/O2buRp6fnTeuSpMGDB6tly5ZycXGRj4+PateubXOdblyHAwcOyNnZWdWqVbNq9/f3V5kyZXTgwAGr9mrVqmULxjVq1JB07bwlf39/y/lIkyZN0r59+6zCxY2HpCWpevXqVj87OTmpWrVqt/U+cmXKlNHjjz+uOXPmaPjw4ZKuHf6tWLFijs9FfmT9Qr4+2F4vJCREsbGxGj16tGbPnq2WLVvqiSee0PPPP2/1C+9mbnw+c3PjdpauPXcXL17UsWPH8nxOUn5lvYZq1qxp1e7q6qoqVapke41VqlQp22usbNmy+ueffwq8/ICAgGzPRdYpGDcuPz/bVJJKliypiIgIm49t3bpVgwYN0q+//qqzZ89aPXb9uWc5yWstWUHzvvvuU2BgoKW9cuXKatGihdauXSvp2h9kN94+xNvb2xIc7rnnHi1atEjp6en6+++/9cMPP2jMmDHq2LGjNm3alGP4OnDggMLCwrK13/ic5/XzLus5sfWazekPyfy62XtUulbvP//8k2MIT01NvelyjFs4Ly3rebV1Tt7ly5et+nh4eCg9Pd3mOJcvX7b6Y8TDwyNPY+amYsWK2QLngQMHVL169WyHlnN6r+WmVatWevrpp/X+++9rzJgxat26tTp06KDnnnsuW3jN2sZ3w32ACYB5cPjwYZ05cyZbcLmeh4eHfvvtN61atUpLlixRXFyc5s2bpwceeEDLly+Xi4tLvpZ545sia69i//79FRkZaXOe3Oq7foxZs2bZ/AWcl2AqSaGhoTn+ErpeTm9se75xRowYoffee08vvviihg8fLm9vbzk7O6tv3755OnH6TunatasWLFigtWvXKjQ0VD/99JNee+21bB9eBbFlyxaVL18+1wA/atQode/eXYsXL9by5cvVu3dvjRw5UuvWrcvzeU63co6kLTm9Dm7nHsIb5fS+vJVfpPlhr216+vRptWrVSp6enho2bJiqVq0qd3d3bdy4UW+//Xae3gt5rSXrvFo/P79sj5UvX95yftihQ4eyhcpVq1apdevWVm2urq665557dM8996hGjRqKjo7WggULNGTIkDzVkxN7fd7Zw5YtWyTl/hmdmZmphx56yLJH90ZZf/zmpFy5cjp16lSBa6xQoYKka3tEb5SUlCRvb29LGKpQoYIyMjKUmppqtWMkPT1dJ06csDr3ukKFCjmOKSnbedq22Puz50ZZXxKwbt06/fzzz1q2bJlefPFFjRo1SuvWrbPswZVk2cY+Pj63taY7gQCYB7NmzZKkHINXFmdnZz344IN68MEHNXr0aI0YMULvvvuuVq1apYiICFWtWlV//PGHrly5ku8TdatUqSLp2i7um4WvnH6xZp04X758+TwFOHsLCgpSZmamdu3aZfkrTZJSUlJ0+vRpBQUFWfXP2ut5/fr8+++/kmQ5eXvhwoVq06aNpk6dajXv6dOnbb5Bs/YKZDEMQ7t371b9+vVvad2k3IPtI488Il9fX82ePVthYWG6ePGiXnjhhVteZkJCgvbs2ZOnQ8mhoaEKDQ3VoEGDtHbtWt13332aMmWKPvjgg5vWn183bmfp2nNXokQJyx6OsmXLZrsyV7L9l3tea8t6De3cudPynpGu/WLat2/fbX/dBwUFaeXKlTp37pzV3p6sQ7A3vsbtZfXq1Tpx4oQWLVpkdRVo1pX59hQaGqrixYvbPOXk6NGjlufX398/28VJDRo0yHXsrNNIbAWGLEFBQTZfXzt37rT6Oa+fd1nPSV7GLIiMjAzNmTNHJUqUsFw9b0vVqlV1/vz5Ar9Ga9WqdUvPd8WKFeXr66sNGzZke2z9+vVq2LCh5ees/2/YsEGPPvqopX3Dhg3KzMzM1vd///d/lZmZafUH7x9//KESJUrcNNjmJCgoSP/880+2cW/lvXbvvffq3nvv1Ycffqg5c+aoS5cumjt3rnr06GHpk7WNr/8dVlRxDuBN/Prrrxo+fLhCQkKynWNyvZMnT2Zry3oTZO3+fvrpp3X8+HFNmDAhW9+b7XEoX768WrdurS+++MLmh+P1h1pKliwpSdl+uUZGRsrT01MjRoyweZ5DTnd7t5esD4obr2YbPXq0JGW7Ou7o0aNWVwafPXtW33zzjRo2bGj5i97FxSXbtluwYEGO50N+8803VufhLFy4UElJSTle8ZkfJUuWtBlopGt7G6KiojR//nzNmDFDoaGhtxw6Dxw4oO7du8vV1VVvvvlmjv3Onj2rq1evWrWFhobK2dnZ6tBMbvXnV0JCgtWhs0OHDmnx4sV6+OGHLXvdqlatqjNnzlgdbk1KSrJ5+4281hYRESFXV1eNHz/e6nUxdepUnTlzJscrMO3l0UcfVUZGRrb3+JgxY+Tk5GSX15ktWdv0+nVOT0/XpEmT7L6s0qVL69FHH9XatWutzi3cvn271q5da7lC393dXREREVZT1vlTq1atsvmZl3Uu7o2Hc6/36KOPat26dVq/fr2l7dixY1bn2Ep5/7yrUKGCGjZsqJkzZ1odKl+xYkWOt8LJq4yMDPXu3Vvbt29X7969c91L/8wzzyghIUHLli3L9tjp06ezvYdvFB4eri1bttz0tiq5efrpp/Wf//zH6tZY8fHx+vfffy23F5OuHVb39vbW5MmTreafPHmySpQoYfU+69ixo1JSUqyuqD1+/LgWLFigxx9/3Ob5gXnx6KOPKjk5WfPmzbO0Xb16VZ9//rlKlSqlVq1a5XmsU6dOZXs93vj7O0tiYqK8vLxUt27dAtVdmLAH8Dq//PKLduzYoatXryolJUW//vqrVqxYoaCgIP3000+Wk1ZtGTZsmH777Te1a9dOQUFBSk1N1aRJk1SpUiXLX31du3bVN998o9jYWK1fv14tW7bUhQsXtHLlSr322ms3vR3IxIkT1aJFC4WGhqpnz56qUqWKUlJSlJCQoMOHD1vufdewYUO5uLjo448/1pkzZ+Tm5qYHHnhA5cuX1+TJk/XCCy+ocePGevbZZ+Xr66uDBw9qyZIluu+++2yGU3tp0KCBunXrpi+//NJyyGr9+vWaOXOmOnTokO32ETVq1NBLL72kP//8U35+fpo2bZpSUlI0ffp0S5/HHntMw4YNU3R0tJo3b67Nmzdr9uzZVnt/ruft7a0WLVooOjpaKSkpGjt2rKpVq5bj7X3yo0mTJpo8ebI++OADVatWTeXLl7c6/6hr164aP368Vq1apY8//jhfY2/cuFHffvutMjMzdfr0af3555/6/vvv5eTkpFmzZuUaJn/99VfFxMSoU6dOqlGjhq5evapZs2bJxcVFTz/9tFX9K1eu1OjRoxUQEKCQkBCb51rlRb169RQZGWl1GxhJev/99y19nn32Wb399tt68skn1bt3b8stOmrUqJHtvKu81ubr66sBAwbo/fff1yOPPKInnnhCO3fu1KRJk3TPPffY5aKb3Dz++ONq06aN3n33Xe3fv18NGjTQ8uXLtXjxYvXt2zfX29fciubNm6ts2bLq1q2bevfubXld3K5D2SNGjFB8fLweeOABywUv48ePl7e3d7Z7n9ry+uuv6+LFi3ryySdVq1Ytpaena+3atZo3b56Cg4OznfB/vbfeekuzZs3SI488oj59+lhuA5O1RyiLp6dnnj/vRo4cqXbt2qlFixZ68cUXdfLkSX3++eeqW7eu5fy9mzlz5ozlXrEXL17U7t27tWjRIu3Zs0fPPvus5fzfnLz55pv66aef9Nhjj6l79+5q0qSJLly4oM2bN2vhwoXav39/rocd27dvr+HDh2vNmjV6+OGHrR6bMGGCTp8+raNHj0qSfv75Z8tX9r3++uuWc4EHDhyoBQsWqE2bNurTp4/Onz+vTz/9VKGhoVbPiYeHh4YPH65evXqpU6dOioyM1P/+7//q22+/1Ycffmh1C6GOHTvq3nvvVXR0tLZt2yYfHx9NmjRJGRkZVp8H+fXyyy/riy++UPfu3ZWYmKjg4GAtXLhQ//3vfzV27Nhcz7e80cyZMzVp0iQ9+eSTqlq1qs6dO6evvvpKnp6eVns4pWt/GDz++ON3xTmA3AbG+L9LwrMmV1dXw9/f33jooYeMcePGWV1OnuXGW1XEx8cb7du3NwICAgxXV1cjICDAiIqKynZJ/8WLF413333XCAkJMYoXL274+/sbHTt2NPbs2WMYxs1v+7Fnzx6ja9euhr+/v1G8eHGjYsWKxmOPPWYsXLjQqt9XX31lVKlSxXBxccl2S5hVq1YZkZGRhpeXl+Hu7m5UrVrV6N69u9VtO2zJ67dpZG0bW7fEuXLlivH+++9b1j8wMNAYMGBAtq+myvomkGXLlhn169c33NzcjFq1amVb9uXLl4033njDqFChguHh4WHcd999RkJCgtGqVSurW7Jk1f7dd98ZAwYMMMqXL294eHgY7dq1s7rrvWEU/DYwycnJRrt27YzSpUsbkmzeEqZu3bqGs7Ozcfjw4Vy3YZas10PWVKxYMcPb29sICwszBgwYkK3269c16znfu3ev8eKLLxpVq1Y13N3dDW9vb6NNmzbZvjFgx44dxv333294eHhY3V4kt+czp9vA9OrVy/j222+N6tWrG25ubkajRo1sfjPN8uXLjXr16hmurq5GzZo1jW+//dbmmDnVltMd/SdMmGDUqlXLKF68uOHn52e8+uqr2b51Iqdbd9zqtz+cO3fO6NevnxEQEGAUL17cqF69uvHpp59m+7q6rO2UVze71ch///tf49577zU8PDyMgIAAy61Vbnz/53QbmNxuNWRLYmKiERERYZQsWdIoXbq00b59+zx/tdcvv/xivPjii0atWrWMUqVKWb4W7vXXX8/2TSA33i7FMAzjn3/+MVq1amW4u7sbFStWNIYPH25MnTrV5mshr59333//vVG7dm3Dzc3NqFOnjrFo0aJ8vRauf5+WKlXKqF69uvH8888by5cvtzmPrfU6d+6cMWDAAKNatWqGq6ur4ePjYzRv3tz47LPP8vS1cfXr1zdeeuklm8u6vr7rpxu315YtW4yHH37YKFGihFGmTBmjS5cuRnJyss3lffnll0bNmjUNV1dXo2rVqsaYMWNsfi3jyZMnjZdeeskoV66cUaJECaNVq1Z5uuWKYeT+uk9JSTGio6MNHx8fw9XV1QgNDbV5i5ubfX5v3LjRiIqKMipXrmy4ubkZ5cuXNx577LFsr5Ht27cbsvFtK0WVk2HcBbezBoqIRo0aydvbW/Hx8Y4uBcBdZtasWerVq5cOHjxo81tWcGv69u2r3377TYmJiXfFHkDOAQTukA0bNmjTpk3q2rWro0sBcBfq0qWLKleurIkTJzq6lLvOiRMn9PXXX+uDDz64K8KfJLEHELjNtmzZosTERI0aNUrHjx/X3r17cz2fFACA2409gMBttnDhQkVHR+vKlSv67rvvCH8AAIdjDyAAAIDJsAcQAADAZAiAAAAAJkMABAAAMBm+CeQWZGZm6ujRoypduvRdc1k4AAB3O8MwdO7cOQUEBFh9l7CZEABvwdGjRxUYGOjoMgAAQAEcOnRIlSpVcnQZDkEAvAVZ3zV46NChXL/kGwAAFB5nz55VYGBgvr4z+G5DALwFWYd9PT09CYAAABQxZj59y5wHvgEAAEyMAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJlPM0QUAADDhjZ8dXUKhEDPqcUeXAJNgDyAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAAgAAmAwBEAAAwGQIgAAAACZDAAQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkykUAXDixIkKDg6Wu7u7wsLCtH79+hz7JiUl6bnnnlONGjXk7Oysvn37ZuvTunVrOTk5ZZvatWtn6TN06NBsj9eqVet2rB4AAECh4vAAOG/ePMXGxmrIkCHauHGjGjRooMjISKWmptrsn5aWJl9fXw0aNEgNGjSw2WfRokVKSkqyTFu2bJGLi4s6depk1a9u3bpW/X7//Xe7rx8AAEBh4/AAOHr0aPXs2VPR0dGqU6eOpkyZohIlSmjatGk2+wcHB2vcuHHq2rWrvLy8bPbx9vaWv7+/ZVqxYoVKlCiRLQAWK1bMqp+Pj4/d1w8AAKCwcWgATE9PV2JioiIiIixtzs7OioiIUEJCgt2WM3XqVD377LMqWbKkVfuuXbsUEBCgKlWqqEuXLjp48GCu46Slpens2bNWEwAAQFHj0AB4/PhxZWRkyM/Pz6rdz89PycnJdlnG+vXrtWXLFvXo0cOqPSwsTDNmzFBcXJwmT56sffv2qWXLljp37lyOY40cOVJeXl6WKTAw0C41AgAA3EkOPwR8u02dOlWhoaFq1qyZVXvbtm3VqVMn1a9fX5GRkVq6dKlOnz6t+fPn5zjWgAEDdObMGct06NCh210+AACA3RVz5MJ9fHzk4uKilJQUq/aUlBT5+/vf8vgXLlzQ3LlzNWzYsJv2LVOmjGrUqKHdu3fn2MfNzU1ubm63XBcAAIAjOXQPoKurq5o0aaL4+HhLW2ZmpuLj4xUeHn7L4y9YsEBpaWl6/vnnb9r3/Pnz2rNnjypUqHDLywUAACjMHLoHUJJiY2PVrVs3NW3aVM2aNdPYsWN14cIFRUdHS7p22PXIkSP65ptvLPNs2rRJ0rXQduzYMW3atEmurq6qU6eO1dhTp05Vhw4dVK5cuWzL7d+/vx5//HEFBQXp6NGjGjJkiFxcXBQVFXX7VhYAAKAQcHgA7Ny5s44dO6bBgwcrOTlZDRs2VFxcnOXCkKSkpGxX5zZq1Mjy/8TERM2ZM0dBQUHav3+/pX3nzp36/ffftXz5cpvLPXz4sKKionTixAn5+vqqRYsWWrdunXx9fe2/kgAAAIWIk2EYhqOLKKrOnj0rLy8vnTlzRp6eno4uB8Adtub+Vo4uoVBo9duaWx5jwhs/26GSoi9m1OOOLsEU+P1tgquAAQAAYI0ACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRRzdAEAAMB+Pny+o6NLKBTe/Xaho0so1NgDCAAAYDLsAbzNmrz5jaNLKBQSP+3q6BIAAMD/xx5AAAAAkyEAAgAAmAwBEAAAwGQ4BxAwofs+v8/RJRQK/339v44uAQAcgj2AAAAAJsMeQBQZB4eFOrqEQqHy4M2OLgEAUMSxBxAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRSKADhx4kQFBwfL3d1dYWFhWr9+fY59k5KS9Nxzz6lGjRpydnZW3759s/WZMWOGnJycrCZ3d/dbWi4AAMDdwuEBcN68eYqNjdWQIUO0ceNGNWjQQJGRkUpNTbXZPy0tTb6+vho0aJAaNGiQ47ienp5KSkqyTAcOHLil5QIAANwtHB4AR48erZ49eyo6Olp16tTRlClTVKJECU2bNs1m/+DgYI0bN05du3aVl5dXjuM6OTnJ39/fMvn5+d3ScgEAAO4WDg2A6enpSkxMVEREhKXN2dlZERERSkhIuKWxz58/r6CgIAUGBqp9+/baunXrLS83LS1NZ8+etZoAAACKGocGwOPHjysjIyPb3jk/Pz8lJycXeNyaNWtq2rRpWrx4sb799ltlZmaqefPmOnz48C0td+TIkfLy8rJMgYGBBa4RAADAURx+CPh2CA8PV9euXdWwYUO1atVKixYtkq+vr7744otbGnfAgAE6c+aMZTp06JCdKgYAALhzijly4T4+PnJxcVFKSopVe0pKivz9/e22nOLFi6tRo0bavXv3LS3Xzc1Nbm5udqsLAADAERy6B9DV1VVNmjRRfHy8pS0zM1Px8fEKDw+323IyMjK0efNmVahQ4Y4uFwAAoDBy6B5ASYqNjVW3bt3UtGlTNWvWTGPHjtWFCxcUHR0t6dph1yNHjuibb76xzLNp0yZJ1y70OHbsmDZt2iRXV1fVqVNHkjRs2DDde++9qlatmk6fPq1PP/1UBw4cUI8ePfK8XAAAgLuVwwNg586ddezYMQ0ePFjJyclq2LCh4uLiLBdoJCUl6eDBg1bzNGrUyPL/xMREzZkzR0FBQdq/f78k6dSpU+rZs6eSk5NVtmxZNWnSRGvXrrUExLwsFwAA4G7l8AAoSTExMYqJibH52IwZM7K1GYaR63hjxozRmDFjbmm5AAAAd6u78ipgAAAA5IwACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCkUAnDhxooKDg+Xu7q6wsDCtX78+x75JSUl67rnnVKNGDTk7O6tv377Z+nz11Vdq2bKlypYtq7JlyyoiIiLbmEOHDpWTk5PVVKtWLXuvGgAAQKHj8AA4b948xcbGasiQIdq4caMaNGigyMhIpaam2uyflpYmX19fDRo0SA0aNLDZZ/Xq1YqKitKqVauUkJCgwMBAPfzwwzpy5IhVv7p16yopKcky/f7773ZfPwAAgMLG4QFw9OjR6tmzp6Kjo1WnTh1NmTJFJUqU0LRp02z2Dw4O1rhx49S1a1d5eXnZ7DN79my99tpratiwoWrVqqWvv/5amZmZio+Pt+pXrFgx+fv7WyYfHx+7rx8AAEBh49AAmJ6ersTEREVERFjanJ2dFRERoYSEBLst5+LFi7py5Yq8vb2t2nft2qWAgABVqVJFXbp00cGDB3MdJy0tTWfPnrWaAAAAihqHBsDjx48rIyNDfn5+Vu1+fn5KTk6223LefvttBQQEWAXNsLAwzZgxQ3FxcZo8ebL27dunli1b6ty5czmOM3LkSHl5eVmmwMBAu9UIAABwpzj8EPDt9tFHH2nu3Ln64Ycf5O7ubmlv27atOnXqpPr16ysyMlJLly7V6dOnNX/+/BzHGjBggM6cOWOZDh06dCdWAQAAwK6KOXLhPj4+cnFxUUpKilV7SkqK/P39b3n8zz77TB999JFWrlyp+vXr59q3TJkyqlGjhnbv3p1jHzc3N7m5ud1yXQAAAI7k0D2Arq6uatKkidXFGVkXa4SHh9/S2J988omGDx+uuLg4NW3a9Kb9z58/rz179qhChQq3tFwAAIDCzqF7ACUpNjZW3bp1U9OmTdWsWTONHTtWFy5cUHR0tKRrh12PHDmib775xjLPpk2bJF0LbceOHdOmTZvk6uqqOnXqSJI+/vhjDR48WHPmzFFwcLDlfMJSpUqpVKlSkqT+/fvr8ccfV1BQkI4ePaohQ4bIxcVFUVFRd3DtAQAA7jyHB8DOnTvr2LFjGjx4sJKTk9WwYUPFxcVZLgxJSkrKdnVuo0aNLP9PTEzUnDlzFBQUpP3790uSJk+erPT0dHXs2NFqviFDhmjo0KGSpMOHDysqKkonTpyQr6+vWrRooXXr1snX1/f2rSwAAEAh4PAAKEkxMTGKiYmx+diMGTOytRmGket4WUEwN3Pnzs1LaQAAAHedu/4qYAAAAFgjAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwmQIHwFWrVtmzDgAAANwhBQ6AjzzyiKpWraoPPvhAhw4dsmdNAAAAuI0KHACPHDmimJgYLVy4UFWqVFFkZKTmz5+v9PR0e9YHAAAAOytwAPTx8VG/fv20adMm/fHHH6pRo4Zee+01BQQEqHfv3vr777/tWScAAADsxC4XgTRu3FgDBgxQTEyMzp8/r2nTpqlJkyZq2bKltm7dao9FAAAAwE5uKQBeuXJFCxcu1KOPPqqgoCAtW7ZMEyZMUEpKinbv3q2goCB16tTJXrUCAADADooVdMbXX39d3333nQzD0AsvvKBPPvlE9erVszxesmRJffbZZwoICLBLoQAAALCPAgfAbdu26fPPP9dTTz0lNzc3m318fHy4XQwAAEAhU+BDwEOGDFGnTp2yhb+rV6/qt99+kyQVK1ZMrVq1urUKAQAAYFcFDoBt2rTRyZMns7WfOXNGbdq0uaWiAAAAcPsUOAAahiEnJ6ds7SdOnFDJkiVvqSgAAADcPvk+B/Cpp56SJDk5Oal79+5Wh4AzMjL0zz//qHnz5varEAAAAHaV7wDo5eUl6doewNKlS8vDw8PymKurq+6991717NnTfhUCAADArvIdAKdPny5JCg4OVv/+/TncCwAAUMQU+DYwQ4YMsWcdAAAAuEPyFQAbN26s+Ph4lS1bVo0aNbJ5EUiWjRs33nJxAAAAsL98BcD27dtbLvro0KHD7agHAAAAt1m+AuD1h305BAwAAFA0Ffg+gAAAACia8rUHsGzZsrme93c9W98SAgAAAMfLVwAcO3bsbSoDAAAAd0q+AmC3bt1uVx0AAAC4Q/IVAM+ePStPT0/L/3OT1Q8AAACFS74uAilbtqxSU1MlSWXKlFHZsmWzTVnt+TFx4kQFBwfL3d1dYWFhWr9+fY59k5KS9Nxzz6lGjRpydnZW3759bfZbsGCBatWqJXd3d4WGhmrp0qW3tFwAAIC7Rb72AP7666/y9vaWJK1atcouBcybN0+xsbGaMmWKwsLCNHbsWEVGRmrnzp0qX758tv5paWny9fXVoEGDNGbMGJtjrl27VlFRURo5cqQee+wxzZkzRx06dNDGjRtVr169Ai0XAADgbpGvANiqVSub/78Vo0ePVs+ePRUdHS1JmjJlipYsWaJp06bpnXfeydY/ODhY48aNkyRNmzbN5pjjxo3TI488ojfffFOSNHz4cK1YsUITJkzQlClTCrRcAACAu8Ut3Qfw1KlT+uyzz/TSSy/ppZde0qhRo/J1+5f09HQlJiYqIiLi/wpydlZERIQSEhIKXFdCQoLVmJIUGRlpGfN2LRcAAKAoKHAA/O233xQcHKzx48fr1KlTOnXqlMaPH6+QkBD99ttveRrj+PHjysjIkJ+fn1W7n5+fkpOTC1qakpOTcx2zoMtNS0vT2bNnrSYAAICiJl+HgK/Xq1cvde7cWZMnT5aLi4skKSMjQ6+99pp69eqlzZs3263IwmLkyJF6//33HV0GAADALSnwHsDdu3frjTfesIQ/SXJxcVFsbKx2796dpzF8fHzk4uKilJQUq/aUlBT5+/sXtDT5+/vnOmZBlztgwACdOXPGMh06dKjANQIAADhKgQNg48aNtX379mzt27dvV4MGDfI0hqurq5o0aaL4+HhLW2ZmpuLj4xUeHl7Q0hQeHm41piStWLHCMmZBl+vm5iZPT0+rCQAAoKjJ1yHgf/75x/L/3r17q0+fPtq9e7fuvfdeSdK6des0ceJEffTRR3keMzY2Vt26dVPTpk3VrFkzjR07VhcuXLBcnTtgwAAdOXJE33zzjWWeTZs2SZLOnz+vY8eOadOmTXJ1dVWdOnUkSX369FGrVq00atQotWvXTnPnztWGDRv05Zdf5nm5AAAAd6t8BcCGDRvKyclJhmFY2t56661s/Z577jl17tw5T2N27txZx44d0+DBg5WcnKyGDRsqLi7OcoFGUlKSDh48aDVPo0aNLP9PTEzUnDlzFBQUpP3790uSmjdvrjlz5mjQoEEaOHCgqlevrh9//NFyD8C8LBcAAOBula8AuG/fvttSRExMjGJiYmw+NmPGjGxt1wfQnHTq1EmdOnUq8HIBAADuVvkKgEFBQberDgAAANwhBb4NTJZt27bp4MGDSk9Pt2p/4oknbnVoAAAA3AYFDoB79+7Vk08+qc2bN1udF+jk5CTp2j0BAQAAUPgU+DYwffr0UUhIiFJTU1WiRAlt3bpVv/32m5o2barVq1fbsUQAAADYU4H3ACYkJOjXX3+Vj4+PnJ2d5ezsrBYtWmjkyJHq3bu3/vrrL3vWCQAAADsp8B7AjIwMlS5dWtK1b9Y4evSopGsXiuzcudM+1QEAAMDuCrwHsF69evr7778VEhKisLAwffLJJ3J1ddWXX36pKlWq2LNGAAAA2FGBA+CgQYN04cIFSdKwYcP02GOPqWXLlipXrpzmzZtntwIBAABgXwUOgJGRkZb/V6tWTTt27NDJkydVtmxZy5XAAAAAKHxu+T6AknTo0CFJUmBgoD2GAwAAwG1U4ItArl69qvfee09eXl4KDg5WcHCwvLy8NGjQIF25csWeNQIAAMCOCrwH8PXXX9eiRYv0ySefKDw8XNK1W8MMHTpUJ06c0OTJk+1WJAAAAOynwAFwzpw5mjt3rtq2bWtpq1+/vgIDAxUVFUUABAAAKKQKfAjYzc1NwcHB2dpDQkLk6up6KzUBAADgNipwAIyJidHw4cOVlpZmaUtLS9OHH36omJgYuxQHAAAA+8vXIeCnnnrK6ueVK1eqUqVKatCggSTp77//Vnp6uh588EH7VQgAAAC7ylcA9PLysvr56aeftvqZ28AAAAAUfvkKgNOnT79ddQAAAOAOueUbQR87dkw7d+6UJNWsWVO+vr63XBQAAABunwJfBHLhwgW9+OKLqlChgu6//37df//9CggI0EsvvaSLFy/as0YAAADYUYEDYGxsrNasWaOff/5Zp0+f1unTp7V48WKtWbNGb7zxhj1rBAAAgB0V+BDw999/r4ULF6p169aWtkcffVQeHh565plnuBE0AABAIVXgPYAXL16Un59ftvby5ctzCBgAAKAQK3AADA8P15AhQ3T58mVL26VLl/T+++9bvhsYAAAAhU+BDwGPHTtWjzzySLYbQbu7u2vZsmV2KxAAAAD2VeAAGBoaql27dmn27NnasWOHJCkqKkpdunSRh4eH3QoEAACAfRUoAF65ckW1atXSf/7zH/Xs2dPeNQEAAOA2KtA5gMWLF7c69w8AAABFR4EvAunVq5c+/vhjXb161Z71AAAA4DYr8DmAf/75p+Lj47V8+XKFhoaqZMmSVo8vWrTolosDAACA/RU4AJYpU0ZPP/20PWsBAADAHZDvAJiZmalPP/1U//77r9LT0/XAAw9o6NChXPkLAABQROT7HMAPP/xQAwcOVKlSpVSxYkWNHz9evXr1uh21AQAA4DbIdwD85ptvNGnSJC1btkw//vijfv75Z82ePVuZmZm3oz4AAADYWb4D4MGDB/Xoo49afo6IiJCTk5OOHj1q18IAAABwe+Q7AF69elXu7u5WbcWLF9eVK1fsVhQAAABun3xfBGIYhrp37y43NzdL2+XLl/XKK69Y3QqG28AAAAAUTvneA9itWzeVL19eXl5elun5559XQECAVVt+TJw4UcHBwXJ3d1dYWJjWr1+fa//Vq1ercePGcnNzU7Vq1TRjxgyrx1u3bi0nJ6dsU7t27Sx9hg4dmu3xWrVq5atuAACAoijfewCnT59u1wLmzZun2NhYTZkyRWFhYRo7dqwiIyO1c+dOlS9fPlv/ffv2qV27dnrllVc0e/ZsxcfHq0ePHqpQoYIiIyMlXdv7mJ6ebpnnxIkTatCggTp16mQ1Vt26dbVy5UrLz8WKFfi2iAAAAEWGwxPP6NGj1bNnT0VHR0uSpkyZoiVLlmjatGl65513svWfMmWKQkJCNGrUKElS7dq19fvvv2vMmDGWAOjt7W01z9y5c1WiRIlsAbBYsWLy9/e/HasFAABQaBX4u4DtIT09XYmJiYqIiLC0OTs7KyIiQgkJCTbnSUhIsOovSZGRkTn2l6SpU6fq2WefzfZ1dbt27VJAQICqVKmiLl266ODBg7ewNgAAAEWDQwPg8ePHlZGRIT8/P6t2Pz8/JScn25wnOTnZZv+zZ8/q0qVL2fqvX79eW7ZsUY8ePazaw8LCNGPGDMXFxWny5Mnat2+fWrZsqXPnzuVYb1pams6ePWs1AQAAFDUOPwR8u02dOlWhoaFq1qyZVXvbtm0t/69fv77CwsIUFBSk+fPn66WXXrI51siRI/X+++/f1noBAABuN4fuAfTx8ZGLi4tSUlKs2lNSUnI8N8/f399mf09Pz2zfR3zhwgXNnTs3x0B3vTJlyqhGjRravXt3jn0GDBigM2fOWKZDhw7ddFwAAIDCxqEB0NXVVU2aNFF8fLylLTMzU/Hx8QoPD7c5T3h4uFV/SVqxYoXN/gsWLFBaWpqef/75m9Zy/vx57dmzRxUqVMixj5ubmzw9Pa0mAACAosahAVCSYmNj9dVXX2nmzJnavn27Xn31VV24cMFyVfCAAQPUtWtXS/9XXnlFe/fu1VtvvaUdO3Zo0qRJmj9/vvr165dt7KlTp6pDhw4qV65ctsf69++vNWvWaP/+/Vq7dq2efPJJubi4KCoq6vatLAAAQCHg8HMAO3furGPHjmnw4MFKTk5Ww4YNFRcXZ7nQIykpyerq3JCQEC1ZskT9+vXTuHHjVKlSJX399deWW8Bk2blzp37//XctX77c5nIPHz6sqKgonThxQr6+vmrRooXWrVsnX1/f27eyAAAAhYDDA6AkxcTEKCYmxuZjN37Lh3Ttmz7++uuvXMesWbOmDMPI8fG5c+fmq0YAAIC7hcMPAQMAAODOIgACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMJlCEQAnTpyo4OBgubu7KywsTOvXr8+1/+rVq9W4cWO5ubmpWrVqmjFjhtXjM2bMkJOTk9Xk7u5+y8sFAAC4Gzg8AM6bN0+xsbEaMmSINm7cqAYNGigyMlKpqak2++/bt0/t2rVTmzZttGnTJvXt21c9evTQsmXLrPp5enoqKSnJMh04cOCWlgsAAHC3cHgAHD16tHr27Kno6GjVqVNHU6ZMUYkSJTRt2jSb/adMmaKQkBCNGjVKtWvXVkxMjDp27KgxY8ZY9XNycpK/v79l8vPzu6XlAgAA3C0cGgDT09OVmJioiIgIS5uzs7MiIiKUkJBgc56EhASr/pIUGRmZrf/58+cVFBSkwMBAtW/fXlu3br2l5QIAANwtHBoAjx8/royMjGx75/z8/JScnGxznuTkZJv9z549q0uXLkmSatasqWnTpmnx4sX69ttvlZmZqebNm+vw4cMFXq4kpaWl6ezZs1YTAABAUePwQ8C3Q3h4uLp27aqGDRuqVatWWrRokXx9ffXFF1/c0rgjR46Ul5eXZQoMDLRTxQAAAHeOQwOgj4+PXFxclJKSYtWekpIif39/m/P4+/vb7O/p6SkPDw+b8xQvXlyNGjXS7t27C7xcSRowYIDOnDljmQ4dOnTTdQQAAChsHBoAXV1d1aRJE8XHx1vaMjMzFR8fr/DwcJvzhIeHW/WXpBUrVuTYX5IyMjK0efNmVahQocDLlSQ3Nzd5enpaTQAAAEWNww8Bx8bG6quvvtLMmTO1fft2vfrqq7pw4YKio6MlXdvr1rVrV0v/V155RXv37tVbb72lHTt2aNKkSZo/f7769etn6TNs2DAtX75ce/fu1caNG/X888/rwIED6tGjR56XCwAAcLcq5ugCOnfurGPHjmnw4MFKTk5Ww4YNFRcXZ7lAIykpSQcPHrT0DwkJ0ZIlS9SvXz+NGzdOlSpV0tdff63IyEhLn1OnTqlnz55KTk5W2bJl1aRJE61du1Z16tTJ83IBAADuVg4PgJIUExOjmJgYm4/d+C0fktS6dWv99ddfOY43ZsyYbPcFzO9yAQAA7lYOPwQMAACAO4sACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCkUAnDhxooKDg+Xu7q6wsDCtX78+1/6rV69W48aN5ebmpmrVqmnGjBlWj3/11Vdq2bKlypYtq7JlyyoiIiLbmEOHDpWTk5PVVKtWLXuvGgAAQKHj8AA4b948xcbGasiQIdq4caMaNGigyMhIpaam2uy/b98+tWvXTm3atNGmTZvUt29f9ejRQ8uWLbP0Wb16taKiorRq1SolJCQoMDBQDz/8sI4cOWI1Vt26dZWUlGSZfv/999u6rgAAAIVBMUcXMHr0aPXs2VPR0dGSpClTpmjJkiWaNm2a3nnnnWz9p0yZopCQEI0aNUqSVLt2bf3+++8aM2aMIiMjJUmzZ8+2mufrr7/W999/r/j4eHXt2tXSXqxYMfn7+9+uVQMAACiUHLoHMD09XYmJiYqIiLC0OTs7KyIiQgkJCTbnSUhIsOovSZGRkTn2l6SLFy/qypUr8vb2tmrftWuXAgICVKVKFXXp0kUHDx7Mtd60tDSdPXvWagIAAChqHBoAjx8/royMDPn5+Vm1+/n5KTk52eY8ycnJNvufPXtWly5dsjnP22+/rYCAAKvgGBYWphkzZiguLk6TJ0/Wvn371LJlS507dy7HekeOHCkvLy/LFBgYmNdVBQAAKDQcfg7g7fbRRx9p7ty5+uGHH+Tu7m5pb9u2rTp16qT69esrMjJSS5cu1enTpzV//vwcxxowYIDOnDljmQ4dOnQnVgEAAMCuHHoOoI+Pj1xcXJSSkmLVnpKSkuO5ef7+/jb7e3p6ysPDw6r9s88+00cffaSVK1eqfv36udZSpkwZ1ahRQ7t3786xj5ubm9zc3HIdBwAAoLBz6B5AV1dXNWnSRPHx8Za2zMxMxcfHKzw83OY84eHhVv0lacWKFdn6f/LJJxo+fLji4uLUtGnTm9Zy/vx57dmzRxUqVCjAmgAAABQdDj8EHBsbq6+++kozZ87U9u3b9eqrr+rChQuWq4IHDBhgdeXuK6+8or179+qtt97Sjh07NGnSJM2fP1/9+vWz9Pn444/13nvvadq0aQoODlZycrKSk5N1/vx5S5/+/ftrzZo12r9/v9auXasnn3xSLi4uioqKunMrDwAA4AAOvw1M586ddezYMQ0ePFjJyclq2LCh4uLiLBd6JCUlWV2dGxISoiVLlqhfv34aN26cKlWqpK+//tpyCxhJmjx5stLT09WxY0erZQ0ZMkRDhw6VJB0+fFhRUVE6ceKEfH191aJFC61bt06+vr63f6UBAAAcyOEBUJJiYmIUExNj87Ebv+VDklq3bq2//vorx/H2799/02XOnTs3r+UBAADcVRx+CBgAAAB3FgEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkUigA4ceJEBQcHy93dXWFhYVq/fn2u/VevXq3GjRvLzc1N1apV04wZM7L1WbBggWrVqiV3d3eFhoZq6dKlt7xcAACAu4HDA+C8efMUGxurIUOGaOPGjWrQoIEiIyOVmppqs/++ffvUrl07tWnTRps2bVLfvn3Vo0cPLVu2zNJn7dq1ioqK0ksvvaS//vpLHTp0UIcOHbRly5YCLxcAAOBu4fAAOHr0aPXs2VPR0dGqU6eOpkyZohIlSmjatGk2+0+ZMkUhISEaNWqUateurZiYGHXs2FFjxoyx9Bk3bpweeeQRvfnmm6pdu7aGDx+uxo0ba8KECQVeLgAAwN2imCMXnp6ersTERA0YMMDS5uzsrIiICCUkJNicJyEhQREREVZtkZGR6tu3r1Wf2NjYbH1+/PHHAi9XktLS0pSWlmb5+cyZM5Kks2fP5jhPRtqlHB8zk9y2UV6du5xhh0qKPntsy6uXrtqhkqLvVrflhatsR8k+r8lLaRftUEnRZ49tefnKFTtUUvTlti2zHjMM406VU+g4NAAeP35cGRkZ8vPzs2r38/PTjh07bM6TnJxss//Zs2d16dIleXh45NgnOTm5wMuVpJEjR+r999/P1h4YGJjzSkKS5PX5K44u4e4x0svRFdw1vN5mW9qFF9vRXt6a6OgK7h4fzL/56/LcuXPyMunr16EBsKgZMGCA1Z7FzMxMnTx5UuXKlZOTk5MDK8vZ2bNnFRgYqEOHDsnT09PR5RRpbEv7YVvaB9vRftiW9lMUtqVhGDp37pwCAgIcXYrDODQA+vj4yMXFRSkpKVbtKSkp8vf3tzmPv7+/zf6enp7y8PDItU/WmAVZriS5ubnJzc3Nqq1MmTI5r2Ah4unpWWjfiEUN29J+2Jb2wXa0H7al/RT2bWnWPX9ZHHoRiKurq5o0aaL4+HhLW2ZmpuLj4xUeHm5znvDwcKv+krRixQqr/jfrU5DlAgAA3C0cfhVwbGysvvrqK82cOVPbt2/Xq6++qgsXLig6OlrStcOuXbt2tfR/5ZVXtHfvXr311lvasWOHJk2apPnz56tfv36WPn369FFcXJxGjRqlHTt2aOjQodqwYYNiYmLyvFwAAIC7lcPPAezcubOOHTumwYMHKzk5WQ0bNlRcXJzlAo2kpCQdPHjQ0j8kJERLlixRv379NG7cOFWqVElff/21IiMjLX2aN2+uOXPmaNCgQRo4cKCqV6+uH3/8UfXq1cvzcu8Wbm5uGjJkSLZD18g/tqX9sC3tg+1oP2xL+2FbFg1OhpmvgQYAADAhhx8CBgAAwJ1FAAQAADAZAiAAAIDJEAABAABMhgB4l/rtt9/0+OOPKyAgQE5OTpbvQUb+jRw5Uvfcc49Kly6t8uXLq0OHDtq5c6ejyypyJk+erPr161tuDhseHq5ffvnF0WXdFT766CM5OTlZfSc68mbo0KFycnKymmrVquXosoqkI0eO6Pnnn1e5cuXk4eGh0NBQbdiwwdFlIQcEwLvUhQsX1KBBA02cyBdL3qo1a9aoV69eWrdunVasWKErV67o4Ycf1oULFxxdWpFSqVIlffTRR0pMTNSGDRv0wAMPqH379tq6daujSyvS/vzzT33xxReqX7++o0spsurWraukpCTL9Pvvvzu6pCLn1KlTuu+++1S8eHH98ssv2rZtm0aNGqWyZcs6ujTkwOH3AcTt0bZtW7Vt29bRZdwV4uLirH6eMWOGypcvr8TERN1///0Oqqroefzxx61+/vDDDzV58mStW7dOdevWdVBVRdv58+fVpUsXffXVV/rggw8cXU6RVaxYsVy/BhQ39/HHHyswMFDTp0+3tIWEhDiwItwMewCBfDpz5owkydvb28GVFF0ZGRmaO3euLly4wNcv3oJevXqpXbt2ioiIcHQpRdquXbsUEBCgKlWqqEuXLlZfPoC8+emnn9S0aVN16tRJ5cuXV6NGjfTVV185uizkgj2AQD5kZmaqb9++uu+++6y+WQZ5s3nzZoWHh+vy5csqVaqUfvjhB9WpU8fRZRVJc+fO1caNG/Xnn386upQiLSwsTDNmzFDNmjWVlJSk999/Xy1bttSWLVtUunRpR5dXZOzdu1eTJ09WbGysBg4cqD///FO9e/eWq6urunXr5ujyYAMBEMiHXr16acuWLZwjVEA1a9bUpk2bdObMGS1cuFDdunXTmjVrCIH5dOjQIfXp00crVqyQu7u7o8sp0q4/VaZ+/foKCwtTUFCQ5s+fr5deesmBlRUtmZmZatq0qUaMGCFJatSokbZs2aIpU6YQAAspDgEDeRQTE6P//Oc/WrVqlSpVquTocookV1dXVatWTU2aNNHIkSPVoEEDjRs3ztFlFTmJiYlKTU1V48aNVaxYMRUrVkxr1qzR+PHjVaxYMWVkZDi6xCKrTJkyqlGjhnbv3u3oUoqUChUqZPtDrnbt2hxOL8TYAwjchGEYev311/XDDz9o9erVnNhsR5mZmUpLS3N0GUXOgw8+qM2bN1u1RUdHq1atWnr77bfl4uLioMqKvvPnz2vPnj164YUXHF1KkXLfffdluz3Wv//+q6CgIAdVhJshAN6lzp8/b/UX7L59+7Rp0yZ5e3urcuXKDqys6OnVq5fmzJmjxYsXq3Tp0kpOTpYkeXl5ycPDw8HVFR0DBgxQ27ZtVblyZZ07d05z5szR6tWrtWzZMkeXVuSULl062zmoJUuWVLly5Tg3NZ/69++vxx9/XEFBQTp69KiGDBkiFxcXRUVFObq0IqVfv35q3ry5RowYoWeeeUbr16/Xl19+qS+//NLRpSEHBMC71IYNG9SmTRvLz7GxsZKkbt26acaMGQ6qqmiaPHmyJKl169ZW7dOnT1f37t3vfEFFVGpqqrp27aqkpCR5eXmpfv36WrZsmR566CFHlwYTO3z4sKKionTixAn5+vqqRYsWWrdunXx9fR1dWpFyzz336IcfftCAAQM0bNgwhYSEaOzYserSpYujS0MOnAzDMBxdBAAAAO4cLgIBAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEUCQcOnRIL774ogICAuTq6qqgoCD16dNHJ06cyPMY+/fvl5OTkzZt2nT7CgWAIoAACKDQ27t3r5o2bapdu3bpu+++0+7duzVlyhTFx8crPDxcJ0+edHSJAFCkEAABFHq9evWSq6urli9frlatWqly5cpq27atVq5cqSNHjujdd9+VJDk5OenHH3+0mrdMmTKW778OCQmRJDVq1EhOTk5W3+88bdo01a1bV25ubqpQoYJiYmIsjx08eFDt27dXqVKl5OnpqWeeeUYpKSmWx4cOHaqGDRtq2rRpqly5skqVKqXXXntNGRkZ+uSTT+Tv76/y5cvrww8/tKrt9OnT6tGjh3x9feXp6akHHnhAf//9tx23HADYRgAEUKidPHlSy5Yt02uvvSYPDw+rx/z9/dWlSxfNmzdPefla8/Xr10uSVq5cqaSkJC1atEiSNHnyZPXq1Usvv/yyNm/erJ9++knVqlWTJGVmZqp9+/Y6efKk1qxZoxUrVmjv3r3q3Lmz1dh79uzRL7/8ori4OH333XeaOnWq2rVrp8OHD2vNmjX6+OOPNWjQIP3xxx+WeTp16qTU1FT98ssvSkxMVOPGjfXggw+yRxPAbVfM0QUAQG527dolwzBUu3Ztm4/Xrl1bp06d0rFjx246lq+vrySpXLly8vf3t7R/8MEHeuONN9SnTx9L2z333CNJio+P1+bNm7Vv3z4FBgZKkr755hvVrVtXf/75p6VfZmampk2bptKlS6tOnTpq06aNdu7cqaVLl8rZ2Vk1a9bUxx9/rFWrViksLEy///671q9fr9TUVLm5uUmSPvvsM/34449auHChXn755QJsLQDIGwIggCIhL3v4CiI1NVVHjx7Vgw8+aPPx7du3KzAw0BL+JKlOnToqU6aMtm/fbgmAwcHBKl26tKWPn5+fXFxc5OzsbNWWmpoqSfr77791/vx5lStXzmp5ly5d0p49e+y2fgBgCwEQQKFWrVo1OTk5afv27XryySezPb59+3aVLVtWvr6+cnJyyhYUr1y5kuv4Nx5WLqjixYtb/ezk5GSzLTMzU5J0/vx5VahQQatXr842VpkyZexSEwDkhHMAARRq5cqV00MPPaRJkybp0qVLVo8lJydr9uzZ6ty5s5ycnOTr66ukpCTL47t27dLFixctP7u6ukqSMjIyLG2lS5dWcHCw4uPjbS6/du3aOnTokA4dOmRp27Ztm06fPq06deoUeL0aN26s5ORkFStWTNWqVbOafHx8CjwuAOQFARBAoTdhwgSlpaUpMjJSv/32mw4dOqS4uDg99NBDqlixouXq2gceeEATJkzQX3/9pQ0bNuiVV16x2gtXvnx5eXh4KC4uTikpKTpz5oyka1fxjho1SuPHj9euXbu0ceNGff7555KkiIgIhYaGqkuXLtq4caPWr1+vrl27qlWrVmratGmB1ykiIkLh4eHq0KGDli9frv3792vt2rV69913tWHDhlvYWgBwcwRAAIVe9erVtWHDBlWpUkXPPPOMqlatqpdffllt2rRRQkKCvL29JUmjRo1SYGCgWrZsqeeee079+/dXiRIlLOMUK1ZM48eP1xdffKGAgAC1b99ektStWzeNHTtWkyZNUt26dfXYY49p165dkq4dtl28eLHKli2r+++/XxEREapSpYrmzZt3S+vk5OSkpUuX6v7771d0dLRq1KihZ599VgcOHJCfn98tjQ0AN+Nk3K4zqwEAAFAosQcQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAE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Hqh6Xd9hj6NChauPesWOHAKBxfsyGDRsEALF8+XK1fhQKhdrv/8GDB6JevXrivffe0+hL2zifPqz38ccfq/0+lMaOHStkMpk4e/asEKL87VpefwA0lqlTp2rULe/z8PQ2E6LsfY82ycnJAoCoXbu28PLyEj/88IPYuXOn6N27t8Y2Ls/s2bOFhYWF6nW4u7uLsLAwcfz4cbV6yv30xYsXhRCP9ycKhUK8/fbbavX+/PNPAUDtcxgdHS1MTEw09vHK/bbysNj27dvL3e9U5TCiUr9+/QQAcf36dSGE9n1LVfbT169fFwDE//3f/5U71vI+T8rXm5WVpfFcSEiIaNSokerxK6+8Irp27apR79q1awKAmDt3rhDif7+X9evXa9SdO3euACCuXbtW7pjLen+2bdtW2NnZiTt37qjKiouLhbe3t3jppZdEaWmpEEK3/bguf8uVkpKSBACxffv2Cus+iYcRy/H491y2Fi1awMLCAmPGjMGaNWu0Xl2xfft2KBQKnWYxOnXqhLp166oeP3z4EL/++ivefvtt1SyZcunWrRsePnyo9aq0J507dw5///033n33XQDQaCMrKwtnz56tcGyxsbEwNzeHhYUFPD09ceDAAcyePRvh4eFq9Xr16qX2ODk5GQ8ePND4r8zZ2RmdOnXCr7/+qtGXcqxKAwcOBAC1wyzHjh3Dm2++CRsbG5iamsLc3BxDhgxBSUmJxvS/lZUV3nzzTY02S0tLy525rKqXX34Zb7zxBmJjY1XvpXXr1iEvLw/vv/9+lduv6P0JAK+++iri4+MxZ84cHDx4sMzDrOV58803KzUj9fTvr2/fvjAzM6vSYTJd/PbbbwCg8V7r06cPatasqfFea9GiBVxcXFSPFQoFGjVqpDo0rk//Xl5eePXVV9XKhw0bBiGEanxKld2ur732Gg4fPqy2KD9/lfk8aPP0vqcsysOhDx8+RGJiIvr06YOQkBD88MMPaNWqFWbPnq2qW1JSora/efJQ6vTp05GRkYFVq1bhvffeQ61atRAXFwdfX1+sX7++zP6Tk5Px8OFDjfdYQEAAXF1d1cp++eUXeHt7o0WLFmrj6Nq1q9ohPOX7sqz9jiFU9Fmt6n762rVrAFDmjGRllHWV3tPl5V3NV5W62jz9/rx37x4OHTqE3r17q13BbmpqisGDB+PKlSs6/V1T0uVvuZJyG1+9elXn9oEX+NYPFbl37x7y8vLg5ORUZh0PDw/s3r0bdnZ2GDduHDw8PODh4YFFixap6ty4cQNOTk46Te0+fQ5DXl4eiouL8dVXX8Hc3Fxt6datGwBUeJn99evXAQCTJ0/WaEO5o9blUv2+ffvi8OHDOHLkCM6ePYu8vDxMnz5dp9egrRx4PL2ufF7JzMxM45CCg4ODWlsZGRkIDAzE1atXsWjRIuzfvx+HDx9Wncf24MEDtfXt7e01+n66TalMmDAB6enpSEpKAvD43Bp/f3/VIbGqUIaC8t6jGzZswNChQ/HNN9/A398f9erVw5AhQ5Cdna1zP2WdW1MW5bZVUv5Opd7WeXl5MDMzg62trVq5TCaDg4ODRv/aDl3J5XKN909l+i/rfa58/kmV3a7W1tbw8/NTW5ycnCr9edBG17Eot1mTJk3Uwo1MJkPXrl1x5coV1W1zPDw81PY3TwYx4PHncvjw4YiLi8OJEyewb98+WFhYYMKECWX2r9yGT7/HtJVdv34dJ06c0NjvWVlZQQih2u8p3zdl7XcM4fLly5DL5ahXr57W56u6n1b+jis6HFce5evX9jm9efOm2tjL+jzfvHkTAFR1K2pTJpPpdCju6ffnrVu3IISo1OetPLr8LVdSbuPK7id4zlYZtm3bhpKSkgrv2xIYGIjAwECUlJTgyJEj+OqrrxAREQF7e3v0798ftra2+OOPP1BaWlph4Ho64detW1eV1MeNG6d1HXd393LbrF+/PoDH51K98847Wus8eZ5DWWxtbeHn51dhvadfg/LDlpWVpVH32rVrqvEpFRcXIy8vT23HpwwGyrKffvoJ9+7dw6ZNm9R2+GXdY0y5I3vS021KpVOnTvD29saSJUtQq1YtHD16FN99912V233w4AF2794NDw+PMs/XAh7//mNiYhATE4OMjAxs2bIFH3/8MXJycrBjxw6d+qrs/Wiys7PRoEED1WNtv1O5XI7CwkKNdasSyGxsbFBcXIwbN26oBS4hBLKzs1UXkUjFxsamzPc5AI33uqHu2VfZz4M2uo7Fw8ND7fyVJylnb5T7ua1bt6r9jsv7pwAA2rdvj5CQEPz000/IycnROkujfA9p+2chOztb7eT/+vXrw9LSssxz1pS/D+X7pqz9TlVdvXoVKSkpCAoKKvN8rarup5XrK8OOPnx8fAAAJ0+ehJeXl6q8uLgYf//9NwYMGKBWd/369RrnoJ08eRIAVPc29PDwgKWlpar8SSdPnkTDhg11Coja/jaamJhU6vNWkYr+lispt3Fl2+fMlhYZGRmYPHkyrK2ttV5Npo2pqSnatGmj+m/y6NGjAIDQ0FA8fPhQr5te1qhRAx07dsSxY8fQrFkzjf9q/fz8VDsH5Ym/T6ftxo0b45VXXsHx48e1ru/n5wcrK6tKj01X/v7+sLS01AgYV65cwW+//YbOnTtrrPP999+rPV63bh0AqIKv8oP35MnOQgisWLFC6xju3LmDLVu2aLRpYmJS5onQlVHRbMj48eOxbds2REVFwd7eXuMKnsoqKSnB+++/j7y8PHz00Uc6r+fi4oL3338fwcHBqvenLuOvrKd/fz/88AOKi4vV/nFxc3NTu3kl8Pgw3NM3Tyzrfa2N8r309Htt48aNuHfvntb3miF17twZZ86cUdu2ALB27VrIZDJ07NhRkn4r+3moCjMzM7z11ltIS0vTuEJwx44d8PDwUP0R8vHx0ZiFAx7/8/PkIUWlkpISpKeno0aNGmXOdrRt2xYKhULjPXbgwAGNw79vvPEGzp8/DxsbG637PWUwU/5eytrvVMWDBw8watQoFBcX48MPPyyzXlX3066urrC0tMT58+f1HmubNm3g6Oio8bfqxx9/xN27d9VC4Ntvv427d+9i48aNanXXrFkDJycntGnTBsDj90uPHj2wadMm3LlzR1UvIyMDe/bsKTNYVqRmzZpo06YNNm3apLZvKC0txXfffYeXXnoJjRo10qvtsv6WKykPMT4ZSHXxws9snTp1SnVsPCcnB/v378fq1athamqKzZs3axySeFJcXBx+++03dO/eHS4uLnj48KHqv6guXboAAAYMGIDVq1cjLCwMZ8+eRceOHVFaWopDhw7B09NTLTFrs2jRIrz22msIDAzE2LFj4ebmhjt37uDcuXPYunWr6jwQ5X8Q33//PTw9PVGrVi04OTnByckJX3/9NUJDQ9G1a1cMGzYMDRo0wM2bN5GWloajR4/iv//9r4G2pqY6depg+vTpmDJlCoYMGYIBAwYgLy8Ps2bNgkKhwIwZM9TqW1hYYMGCBbh79y5at26tuhoxNDQUr732GgAgODgYFhYWGDBgAD788EM8fPgQy5Ytw61bt7SOwcbGBmPHjkVGRgYaNWqExMRErFixAmPHjlU7Z0dfPj4+SEhIwIYNG/Dyyy9DoVCo/ksEgEGDBiEqKgq///47pk2bBgsLC53bvn79Og4ePAghBO7cuYNTp05h7dq1OH78OCZOnIjRo0eXuW5+fj46duyIgQMHokmTJrCyssLhw4exY8cOtZ2cj48PNm3ahGXLlsHX1xcmJiY6zWKWZdOmTTAzM0NwcLDqasTmzZujb9++qjqDBw/G9OnT8cknnyAoKAhnzpzBkiVL1K7aBP73H/Ly5cthZWUFhUIBd3d3rTOSwcHB6Nq1Kz766CMUFBSgXbt2qqsRW7ZsicGDB+v9mnQxceJErF27Ft27d8fs2bPh6uqKbdu2ITY2FmPHjtV751+Ryn4equrTTz/F9u3b8frrr2PmzJmoXbs2vvnmGxw/flyn2xR8++23+PrrrzFw4EC0bt0a1tbWuHLlCr755hvV1YJlfUbq1q2LyZMnY86cORg1ahT69OmDzMxMzJw5U+OwX0REBDZu3Ij27dtj4sSJaNasGUpLS5GRkYFdu3Zh0qRJaNOmDUJCQtC+fXt8+OGHuHfvHvz8/PDnn3/i22+/rdR2ycjIwMGDB1FaWor8/HwcO3YMq1atwuXLl7FgwQKEhISUu35V9tMWFhbw9/fXeg7v/fv3kZiYCACq5/ft24fc3FzUrFlTddWlqakp5s2bh8GDB+O9997DgAEDkJ6ejg8//BDBwcF4/fXXVW2GhoYiODgYY8eORUFBARo2bIj169djx44d+O6772BqaqqqO2vWLLRu3RpvvPEGPv74Yzx8+BCffPIJ6tevj0mTJum+gZ8SHR2N4OBgdOzYEZMnT4aFhQViY2Nx6tQprF+/vlIzx7r8LVc6ePAgbGxs1PbxOqnU6fTPEeVVLsrFwsJC2NnZiaCgIDF37lytd7Z9+gqG5ORk8fbbbwtXV1chl8uFjY2NCAoKElu2bFFb78GDB+KTTz4Rr7zyirCwsBA2NjaiU6dO4sCBA6o6KOfKs4sXL4oRI0aIBg0aCHNzc2FraysCAgLEnDlz1OqtX79eNGnSRJibm2tcRXP8+HHRt29fYWdnJ8zNzYWDg4Po1KmTiIuLq3BblTc2JeUVH//973+1Pv/NN9+IZs2aCQsLC2FtbS3eeustcfr0abU6ypuanjhxQnTo0EFYWlqKevXqibFjx4q7d++q1d26dato3ry5UCgUokGDBuI///mP6qqiJ686Ud7UdO/evcLPz0/I5XLh6OgopkyZonHVz9PbTNerES9duiRCQkKElZWVAKD1yr5hw4YJMzMzceXKlXK2oron358mJiaidu3awsfHR4wZM0brDSWfvkLw4cOHIiwsTDRr1kzUrl1bWFpaisaNG4sZM2aIe/fuqda7efOm6N27t6hTp46QyWSq11feVVblXY2YkpIievToIWrVqiWsrKzEgAEDVFdhKRUWFooPP/xQODs7C0tLSxEUFCRSU1M1rkYUQoiYmBjh7u4uTE1N1frUdmXdgwcPxEcffSRcXV2Fubm5cHR0FGPHjhW3bt1Sq1fWTUJ1vTFmWetfvnxZDBw4UNjY2Ahzc3PRuHFj8cUXX6hdSabL1Wu69qek6+ehrKsRK/p8P+3kyZOie/fuwsrKSigUCtG2bVuxdetWndY9c+aMmDRpkvDz8xO2trbCzMxM1K1bVwQFBYlvv/1Wre7TVyMK8fimltHR0cLZ2VlYWFiIZs2aia1bt2r93d29e1dMmzZNNG7cWLXv8fHxERMnTlS7YfXt27fFiBEjRJ06dUSNGjVEcHCw+Pvvvyt1NaJyMTU1FXXr1hW+vr4iIiJCYz8nRNk3TK7KfnrlypXC1NRU4+q+p8f35KJtX7Vu3TrVvtrBwUGMHz9e7Yo/pTt37ojx48cLBwcH1e9B21WHQghx5MgR0blzZ1GjRg1Ru3Zt0bNnT3Hu3LkKX5MQ5b8/9+/fLzp16iRq1qwpLC0ttb4PddmP6/q3vLS0VLi6uooPPvhAp7E/Sfb/XwwRSaSoqAhubm547bXXqnQjWSKisjx8+BAuLi6YNGlSpU4vIN39+uuvCAkJwenTp9GkSZNKrcuwRSSRGzdu4OzZs1i9ejXi4+Nx+PBhg1yFSESkzbJlyzBz5kxcuHABNWvWNPZwnjsdO3ZEw4YN9Tof8oU/Z4tIKtu2bcPw4cPh6OiI2NhYBi0iktSYMWNw+/ZtXLhwofLnFFG5bt26haCgII17S+qKM1tEREREEuKtH4iIiIgkxLBFREREJCGGLSIiIiIJ8QR5PZWWluLatWuwsrIy2NduEBERkbTE/79JtK7fW2wIDFt6unbtGpydnY09DCIiItJDZmZmud8ta0gMW3pSfk9VZmYmateubeTREBERkS4KCgrg7Ows6fcCP41hS0/KQ4e1a9dm2CIiIqpm/s1TgHiCPBEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSEMMWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYhhi4iIiEhCDFtEREREEjIz9gCI6N/l+5+1xh7CMyHliyHGHgIRvSCMPrMVGxsLd3d3KBQK+Pr6Yv/+/WXWzcrKwsCBA9G4cWOYmJggIiJCo06HDh0gk8k0lu7du6vqzJw5U+N5BwcHKV4eERERveCMGrY2bNiAiIgITJ06FceOHUNgYCBCQ0ORkZGhtX5hYSFsbW0xdepUNG/eXGudTZs2ISsrS7WcOnUKpqam6NOnj1q9pk2bqtU7efKkwV8fERERkVEPIy5cuBAjR47EqFGjAAAxMTHYuXMnli1bhujoaI36bm5uWLRoEQBg1apVWtusV6+e2uOEhATUqFFDI2yZmZlxNouIiIgkZ7SZraKiIqSkpCAkJEStPCQkBAcOHDBYPytXrkT//v1Rs2ZNtfL09HQ4OTnB3d0d/fv3x4ULFwzWJxEREZGS0Wa2cnNzUVJSAnt7e7Vye3t7ZGdnG6SPv/76C6dOncLKlSvVytu0aYO1a9eiUaNGuH79OubMmYOAgACcPn0aNjY2WtsqLCxEYWGh6nFBQYFBxkhERETPN6NfjSiTydQeCyE0yvS1cuVKeHt749VXX1UrDw0NVf3s4+MDf39/eHh4YM2aNYiMjNTaVnR0NGbNmmWQcRFR9cerOv+HV3YSlc9ohxHr168PU1NTjVmsnJwcjdkufdy/fx8JCQmq88HKU7NmTfj4+CA9Pb3MOlFRUcjPz1ctmZmZVR4jERERPf+MFrYsLCzg6+uLpKQktfKkpCQEBARUuf0ffvgBhYWFGDRoUIV1CwsLkZaWBkdHxzLryOVy1K5dW20hIiIiqohRDyNGRkZi8ODB8PPzg7+/P5YvX46MjAyEhYUBeDybdPXqVaxd+7/p+tTUVADA3bt3cePGDaSmpsLCwgJeXl5qba9cuRI9e/bUeg7W5MmT0aNHD7i4uCAnJwdz5sxBQUEBhg4dKt2LJSIioheSUcNWv379kJeXh9mzZyMrKwve3t5ITEyEq6srgMc3MX36nlstW7ZU/ZySkoJ169bB1dUVly5dUpX/888/+OOPP7Br1y6t/V65cgUDBgxAbm4ubG1t0bZtWxw8eFDVLxEREZGhGP0E+fDwcISHh2t9Lj4+XqNMCFFhm40aNSq3XkJCgs7jIyIiIqoKo39dDxEREdHzjGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJGT0Wz8Q6YLfQ/cYv4OOiKj64cwWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJ8QR5CfGk7v/hid1ERPSi4swWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYhhi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSMjP2AIiI6MXm+5+1xh7CMyHliyHGHgJJhDNbRERERBJi2CIiIiKSEMMWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYj32SIiInpO8J5ljz1r9yzjzBYRERGRhBi2iIiIiCTEsEVEREQkIaOHrdjYWLi7u0OhUMDX1xf79+8vs25WVhYGDhyIxo0bw8TEBBERERp14uPjIZPJNJaHDx/q3S8RERGRvowatjZs2ICIiAhMnToVx44dQ2BgIEJDQ5GRkaG1fmFhIWxtbTF16lQ0b968zHZr166NrKwstUWhUOjdLxEREZG+jBq2Fi5ciJEjR2LUqFHw9PRETEwMnJ2dsWzZMq313dzcsGjRIgwZMgTW1tZltiuTyeDg4KC2VKVfIiIiIn0ZLWwVFRUhJSUFISEhauUhISE4cOBAldq+e/cuXF1d8dJLL+GNN97AsWPHqtxvYWEhCgoK1BYiIiKiihgtbOXm5qKkpAT29vZq5fb29sjOzta73SZNmiA+Ph5btmzB+vXroVAo0K5dO6Snp1ep3+joaFhbW6sWZ2dnvcdIRERELw6jnyAvk8nUHgshNMoqo23bthg0aBCaN2+OwMBA/PDDD2jUqBG++uqrKvUbFRWF/Px81ZKZman3GImIiOjFYbQ7yNevXx+mpqYas0k5OTkas05VYWJigtatW6tmtvTtVy6XQy6XG2xcRERE9GIw2syWhYUFfH19kZSUpFaelJSEgIAAg/UjhEBqaiocHR3/1X6JiIiIACN/N2JkZCQGDx4MPz8/+Pv7Y/ny5cjIyEBYWBiAx4furl69irVr//ddT6mpqQAenwR/48YNpKamwsLCAl5eXgCAWbNmoW3btnjllVdQUFCAxYsXIzU1FUuXLtW5XyIiIiJDMWrY6tevH/Ly8jB79mxkZWXB29sbiYmJcHV1BfD4JqZP3/uqZcuWqp9TUlKwbt06uLq64tKlSwCA27dvY8yYMcjOzoa1tTVatmyJ33//Ha+++qrO/RIREREZilHDFgCEh4cjPDxc63Px8fEaZUKIctv78ssv8eWXX1apXyIiIiJDMfrViERERETPM4YtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSEMMWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYhhi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSkNHDVmxsLNzd3aFQKODr64v9+/eXWTcrKwsDBw5E48aNYWJigoiICI06K1asQGBgIOrWrYu6deuiS5cu+Ouvv9TqzJw5EzKZTG1xcHAw9EsjIiIiMm7Y2rBhAyIiIjB16lQcO3YMgYGBCA0NRUZGhtb6hYWFsLW1xdSpU9G8eXOtdfbu3YsBAwZgz549SE5OhouLC0JCQnD16lW1ek2bNkVWVpZqOXnypMFfHxEREZFRw9bChQsxcuRIjBo1Cp6enoiJiYGzszOWLVumtb6bmxsWLVqEIUOGwNraWmud77//HuHh4WjRogWaNGmCFStWoLS0FL/++qtaPTMzMzg4OKgWW1tbg78+IiIiIqOFraKiIqSkpCAkJEStPCQkBAcOHDBYP/fv38ejR49Qr149tfL09HQ4OTnB3d0d/fv3x4ULFwzWJxEREZGSmbE6zs3NRUlJCezt7dXK7e3tkZ2dbbB+Pv74YzRo0ABdunRRlbVp0wZr165Fo0aNcP36dcyZMwcBAQE4ffo0bGxstLZTWFiIwsJC1eOCggKDjZGIiIieX0Y/QV4mk6k9FkJolOlr3rx5WL9+PTZt2gSFQqEqDw0NRa9eveDj44MuXbpg27ZtAIA1a9aU2VZ0dDSsra1Vi7Ozs0HGSERERM83o4Wt+vXrw9TUVGMWKycnR2O2Sx/z58/H3LlzsWvXLjRr1qzcujVr1oSPjw/S09PLrBMVFYX8/HzVkpmZWeUxEhER0fPPaGHLwsICvr6+SEpKUitPSkpCQEBAldr+4osv8Omnn2LHjh3w8/OrsH5hYSHS0tLg6OhYZh25XI7atWurLUREREQVMdo5WwAQGRmJwYMHw8/PD/7+/li+fDkyMjIQFhYG4PFs0tWrV7F27VrVOqmpqQCAu3fv4saNG0hNTYWFhQW8vLwAPD50OH36dKxbtw5ubm6qmbNatWqhVq1aAIDJkyejR48ecHFxQU5ODubMmYOCggIMHTr0X3z1RERE9CIwatjq168f8vLyMHv2bGRlZcHb2xuJiYlwdXUF8Pgmpk/fc6tly5aqn1NSUrBu3Tq4urri0qVLAB7fJLWoqAi9e/dWW2/GjBmYOXMmAODKlSsYMGAAcnNzYWtri7Zt2+LgwYOqfomIiIgMxahhCwDCw8MRHh6u9bn4+HiNMiFEue0pQ1d5EhISdBkaERERUZUZ/WpEIiIioucZwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSEMMWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSUivsBUfH4/79+8beixEREREzx29wlZUVBQcHBwwcuRIHDhwwNBjIiIiInpu6BW2rly5gu+++w63bt1Cx44d0aRJE3z++efIzs429PiIiIiIqjW9wpapqSnefPNNbNq0CZmZmRgzZgy+//57uLi44M0338TPP/+M0tJSQ4+ViIiIqNqp8gnydnZ2aNeuHfz9/WFiYoKTJ09i2LBh8PDwwN69ew0wRCIiIqLqS++wdf36dcyfPx9NmzZFhw4dUFBQgF9++QUXL17EtWvX8M4772Do0KGGHCsRERFRtWOmz0o9evTAzp070ahRI4wePRpDhgxBvXr1VM9bWlpi0qRJ+PLLLw02UCIiIqLqSK+wZWdnh3379sHf37/MOo6Ojrh48aLeAyMiIiJ6Huh1GDEoKAitWrXSKC8qKsLatWsBADKZDK6urlUbHREREVE1p1fYGj58OPLz8zXK79y5g+HDh1d5UERERETPC73ClhACMplMo/zKlSuwtrau8qCIiIiInheVOmerZcuWkMlkkMlk6Ny5M8zM/rd6SUkJLl68iNdff93ggyQiIiKqrioVtnr27AkASE1NRdeuXVGrVi3VcxYWFnBzc0OvXr0MOkAiIiKi6qxSYWvGjBkAADc3N/Tr1w8KhUKSQRERERE9L/S69QNvVkpERESkG53DVr169fDPP/+gfv36qFu3rtYT5JVu3rxpkMERERERVXc6h60vv/wSVlZWqp/LC1tERERE9JjOt34YOnQo5HI5AGDYsGEYOnRomUtlxMbGwt3dHQqFAr6+vti/f3+ZdbOysjBw4EA0btwYJiYmiIiI0Fpv48aN8PLyglwuh5eXFzZv3lylfomIiIj0pXPYKigo0HnR1YYNGxAREYGpU6fi2LFjCAwMRGhoKDIyMrTWLywshK2tLaZOnYrmzZtrrZOcnIx+/fph8ODBOH78OAYPHoy+ffvi0KFDevdLREREpC+dw1adOnVQt27dchdlHV0tXLgQI0eOxKhRo+Dp6YmYmBg4Oztj2bJlWuu7ublh0aJFGDJkSJk3T42JiUFwcDCioqLQpEkTREVFoXPnzoiJidG7XyIiIiJ96XzO1p49ewzacVFREVJSUvDxxx+rlYeEhODAgQN6t5ucnIyJEyeqlXXt2lUVtvTtt7CwEIWFharHlZnBIyIioheXzmErKCjIoB3n5uaipKQE9vb2auX29vbIzs7Wu93s7Oxy29S33+joaMyaNUvvcREREdGLSeewdeLECXh7e8PExAQnTpwot26zZs10HsDTVzWW9b2LlaFLm5XtNyoqCpGRkarHBQUFcHZ2rtI4iYiI6Pmnc9hq0aIFsrOzYWdnhxYtWkAmk0EIoVFPJpOhpKSkwvbq168PU1NTjdmknJwcjVmnynBwcCi3TX37lcvlqqsxiYiIiHSl8wnyFy9ehK2trernCxcu4OLFixrLhQsXdGrPwsICvr6+SEpKUitPSkpCQEBAJV6COn9/f402d+3apWpTqn6JiIiItNF5ZsvV1VXrz1URGRmJwYMHw8/PD/7+/li+fDkyMjIQFhYG4PGhu6tXr2Lt2rWqdVJTUwEAd+/exY0bN5CamgoLCwt4eXkBACZMmID27dvj888/x1tvvYWff/4Zu3fvxh9//KFzv0RERESGotd3IwLA2bNn8dVXXyEtLQ0ymQxNmjTBBx98gMaNG+vcRr9+/ZCXl4fZs2cjKysL3t7eSExMVIW5rKwsjXtftWzZUvVzSkoK1q1bB1dXV1y6dAkAEBAQgISEBEybNg3Tp0+Hh4cHNmzYgDZt2ujcLxEREZGh6BW2fvzxRwwYMEA1MwQABw8ehLe3N9atW4c+ffro3FZ4eDjCw8O1PhcfH69Rpu08saf17t0bvXv31rtfIiIiIkPRK2x9+OGHiIqKwuzZs9XKZ8yYgY8++qhSYYuIiIjoeabzCfJPys7OxpAhQzTKBw0aVKV7ZBERERE9b/QKWx06dND6xc1//PEHAgMDqzwoIiIioueFzocRt2zZovr5zTffxEcffYSUlBS0bdsWwONztv773//yLutERERET9A5bPXs2VOjLDY2FrGxsWpl48aN4y0UiIiIiP4/ncNWaWmplOMgIiIiei7pdc4WEREREelG75ua3rt3D/v27UNGRgaKiorUnhs/fnyVB0ZERET0PNArbB07dgzdunXD/fv3ce/ePdSrVw+5ubmoUaMG7OzsGLaIiIiI/j+9DiNOnDgRPXr0wM2bN2FpaYmDBw/i8uXL8PX1xfz58w09RiIiIqJqS6+wlZqaikmTJsHU1BSmpqYoLCyEs7Mz5s2bhylTphh6jERERETVll5hy9zcHDKZDABgb2+v+rJoa2trjS+OJiIiInqR6XXOVsuWLXHkyBE0atQIHTt2xCeffILc3Fx8++238PHxMfQYiYiIiKotvWa25s6dC0dHRwDAp59+ChsbG4wdOxY5OTlYvny5QQdIREREVJ3pNbPl5+en+tnW1haJiYkGGxARERHR80Tv+2wBQE5ODs6ePQuZTIbGjRvD1tbWUOMiIiIiei7odRixoKAAgwcPRoMGDRAUFIT27dvDyckJgwYNQn5+vqHHSERERFRt6RW2Ro0ahUOHDuGXX37B7du3kZ+fj19++QVHjhzB6NGjDT1GIiIiompLr8OI27Ztw86dO/Haa6+pyrp27YoVK1bg9ddfN9jgiIiIiKo7vWa2bGxsYG1trVFubW2NunXrVnlQRERERM8LvcLWtGnTEBkZiaysLFVZdnY2/vOf/2D69OkGGxwRERFRdafzYcSWLVuq7hoPAOnp6XB1dYWLiwsAICMjA3K5HDdu3MB7771n+JESERERVUM6h62ePXtKOAwiIiKi55POYWvGjBlSjoOIiIjouVSlm5qmpKQgLS0NMpkMXl5eaNmypaHGRURERPRc0Cts5eTkoH///ti7dy/q1KkDIQTy8/PRsWNHJCQk8E7yRERERP+fXlcjfvDBBygoKMDp06dx8+ZN3Lp1C6dOnUJBQQHGjx9v6DESERERVVt6zWzt2LEDu3fvhqenp6rMy8sLS5cuRUhIiMEGR0RERFTd6TWzVVpaCnNzc41yc3NzlJaWVnlQRERERM8LvcJWp06dMGHCBFy7dk1VdvXqVUycOBGdO3c22OCIiIiIqju9wtaSJUtw584duLm5wcPDAw0bNoS7uzvu3LmDr776ytBjJCIiIqq29Dpny9nZGUePHkVSUhL+/vtvCCHg5eWFLl26GHp8RERERNVapcNWcXExFAoFUlNTERwcjODgYCnGRURERPRcqPRhRDMzM7i6uqKkpESK8RARERE9V/Q6Z2vatGmIiorCzZs3DT0eIiIioueKXudsLV68GOfOnYOTkxNcXV1Rs2ZNteePHj1qkMERERERVXd6ha2ePXtCJpNBCGHo8RARERE9VyoVtu7fv4///Oc/+Omnn/Do0SN07twZX331FerXry/V+IiIiIiqtUqdszVjxgzEx8eje/fuGDBgAHbv3o2xY8dWaQCxsbFwd3eHQqGAr68v9u/fX279ffv2wdfXFwqFAi+//DLi4uLUnu/QoQNkMpnG0r17d1WdmTNnajzv4OBQpddBREREpE2lZrY2bdqElStXon///gCAd999F+3atUNJSQlMTU0r3fmGDRsQERGB2NhYtGvXDl9//TVCQ0Nx5swZuLi4aNS/ePEiunXrhtGjR+O7777Dn3/+ifDwcNja2qJXr16qMRYVFanWycvLQ/PmzdGnTx+1tpo2bYrdu3erHuszfiIiIqKKVCpsZWZmIjAwUPX41VdfhZmZGa5duwZnZ+dKd75w4UKMHDkSo0aNAgDExMRg586dWLZsGaKjozXqx8XFwcXFBTExMQAAT09PHDlyBPPnz1eFrXr16qmtk5CQgBo1amiELTMzM85mERERkeQqdRixpKQEFhYWamVmZmYoLi6udMdFRUVISUlBSEiIWnlISAgOHDigdZ3k5GSN+l27dsWRI0fw6NEjresoZ+KevmIyPT0dTk5OcHd3R//+/XHhwoVyx1tYWIiCggK1hYiIiKgilZrZEkJg2LBhkMvlqrKHDx8iLCxMLcxs2rSpwrZyc3NRUlICe3t7tXJ7e3tkZ2drXSc7O1tr/eLiYuTm5sLR0VHtub/++gunTp3CypUr1crbtGmDtWvXolGjRrh+/TrmzJmDgIAAnD59GjY2Nlr7jo6OxqxZsyp8XURERERPqlTYGjp0qEbZoEGDqjQAmUym9lgIoVFWUX1t5cDjWS1vb2+8+uqrauWhoaGqn318fODv7w8PDw+sWbMGkZGRWvuNiopSe66goECvQ6dERET0YqlU2Fq9erXBOq5fvz5MTU01ZrFycnI0Zq+UHBwctNY3MzPTmJG6f/8+EhISMHv27ArHUrNmTfj4+CA9Pb3MOnK5XG1Gj4iIiEgXen1djyFYWFjA19cXSUlJauVJSUkICAjQuo6/v79G/V27dsHPzw/m5uZq5T/88AMKCwt1mnkrLCxEWlqaxmFIIiIioqoyWtgCgMjISHzzzTdYtWoV0tLSMHHiRGRkZCAsLAzA40N3Q4YMUdUPCwvD5cuXERkZibS0NKxatQorV67E5MmTNdpeuXIlevbsqfUcrMmTJ2Pfvn24ePEiDh06hN69e6OgoEDrYVIiIiKiqtDr63oMpV+/fsjLy8Ps2bORlZUFb29vJCYmwtXVFQCQlZWFjIwMVX13d3ckJiZi4sSJWLp0KZycnLB48WLVbR+U/vnnH/zxxx/YtWuX1n6vXLmCAQMGIDc3F7a2tmjbti0OHjyo6peIiIjIUIwatgAgPDwc4eHhWp+Lj4/XKAsKCqrwi64bNWpU7vc2JiQkVGqMRERERPoy6mFEIiIioucdwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSEMMWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYhhi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQkYPW7GxsXB3d4dCoYCvry/2799fbv19+/bB19cXCoUCL7/8MuLi4tSej4+Ph0wm01gePnxYpX6JiIiI9GHUsLVhwwZERERg6tSpOHbsGAIDAxEaGoqMjAyt9S9evIhu3bohMDAQx44dw5QpUzB+/Hhs3LhRrV7t2rWRlZWltigUCr37JSIiItKXUcPWwoULMXLkSIwaNQqenp6IiYmBs7Mzli1bprV+XFwcXFxcEBMTA09PT4waNQojRozA/Pnz1erJZDI4ODioLVXpl4iIiEhfRgtbRUVFSElJQUhIiFp5SEgIDhw4oHWd5ORkjfpdu3bFkSNH8OjRI1XZ3bt34erqipdeeglvvPEGjh07VqV+AaCwsBAFBQVqCxEREVFFjBa2cnNzUVJSAnt7e7Vye3t7ZGdna10nOztba/3i4mLk5uYCAJo0aYL4+Hhs2bIF69evh0KhQLt27ZCenq53vwAQHR0Na2tr1eLs7Fzp10xEREQvHqOfIC+TydQeCyE0yiqq/2R527ZtMWjQIDRv3hyBgYH44Ycf0KhRI3z11VdV6jcqKgr5+fmqJTMzs+IXR0RERC88M2N1XL9+fZiammrMJuXk5GjMOik5ODhorW9mZgYbGxut65iYmKB169aqmS19+gUAuVwOuVxe4esiIiIiepLRZrYsLCzg6+uLpKQktfKkpCQEBARoXcff31+j/q5du+Dn5wdzc3Ot6wghkJqaCkdHR737JSIiItKX0Wa2ACAyMhKDBw+Gn58f/P39sXz5cmRkZCAsLAzA40N3V69exdq1awEAYWFhWLJkCSIjIzF69GgkJydj5cqVWL9+varNWbNmoW3btnjllVdQUFCAxYsXIzU1FUuXLtW5XyIiIiJDMWrY6tevH/Ly8jB79mxkZWXB29sbiYmJcHV1BQBkZWWp3fvK3d0diYmJmDhxIpYuXQonJycsXrwYvXr1UtW5ffs2xowZg+zsbFhbW6Nly5b4/fff8eqrr+rcLxEREZGhGDVsAUB4eDjCw8O1PhcfH69RFhQUhKNHj5bZ3pdffokvv/yySv0SERERGYrRr0YkIiIiep4xbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSEMMWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYhhi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSEMMWERERkYSMHrZiY2Ph7u4OhUIBX19f7N+/v9z6+/btg6+vLxQKBV5++WXExcWpPb9ixQoEBgaibt26qFu3Lrp06YK//vpLrc7MmTMhk8nUFgcHB4O/NiIiIiKjhq0NGzYgIiICU6dOxbFjxxAYGIjQ0FBkZGRorX/x4kV069YNgYGBOHbsGKZMmYLx48dj48aNqjp79+7FgAEDsGfPHiQnJ8PFxQUhISG4evWqWltNmzZFVlaWajl58qSkr5WIiIheTGbG7HzhwoUYOXIkRo0aBQCIiYnBzp07sWzZMkRHR2vUj4uLg4uLC2JiYgAAnp6eOHLkCObPn49evXoBAL7//nu1dVasWIEff/wRv/76K4YMGaIqNzMz42wWERERSc5oM1tFRUVISUlBSEiIWnlISAgOHDigdZ3k5GSN+l27dsWRI0fw6NEjrevcv38fjx49Qr169dTK09PT4eTkBHd3d/Tv3x8XLlwod7yFhYUoKChQW4iIiIgqYrSwlZubi5KSEtjb26uV29vbIzs7W+s62dnZWusXFxcjNzdX6zoff/wxGjRogC5duqjK2rRpg7Vr12Lnzp1YsWIFsrOzERAQgLy8vDLHGx0dDWtra9Xi7Oys60slIiKiF5jRT5CXyWRqj4UQGmUV1ddWDgDz5s3D+vXrsWnTJigUClV5aGgoevXqBR8fH3Tp0gXbtm0DAKxZs6bMfqOiopCfn69aMjMzK35xRERE9MIz2jlb9evXh6mpqcYsVk5OjsbslZKDg4PW+mZmZrCxsVErnz9/PubOnYvdu3ejWbNm5Y6lZs2a8PHxQXp6epl15HI55HJ5ue0QERERPc1oM1sWFhbw9fVFUlKSWnlSUhICAgK0ruPv769Rf9euXfDz84O5ubmq7IsvvsCnn36KHTt2wM/Pr8KxFBYWIi0tDY6Ojnq8EiIiIqKyGfUwYmRkJL755husWrUKaWlpmDhxIjIyMhAWFgbg8aG7J68gDAsLw+XLlxEZGYm0tDSsWrUKK1euxOTJk1V15s2bh2nTpmHVqlVwc3NDdnY2srOzcffuXVWdyZMnY9++fbh48SIOHTqE3r17o6CgAEOHDv33XjwRERG9EIx664d+/fohLy8Ps2fPRlZWFry9vZGYmAhXV1cAQFZWlto9t9zd3ZGYmIiJEydi6dKlcHJywuLFi1W3fQAe3yS1qKgIvXv3VutrxowZmDlzJgDgypUrGDBgAHJzc2Fra4u2bdvi4MGDqn6JiIiIDMWoYQsAwsPDER4ervW5+Ph4jbKgoCAcPXq0zPYuXbpUYZ8JCQm6Do+IiIioSox+NSIRERHR84xhi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJMSwRURERCQhhi0iIiIiCTFsEREREUmIYYuIiIhIQgxbRERERBJi2CIiIiKSEMMWERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYhhi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGEGLaIiIiIJGT0sBUbGwt3d3coFAr4+vpi//795dbft28ffH19oVAo8PLLLyMuLk6jzsaNG+Hl5QW5XA4vLy9s3ry5yv0SERER6cOoYWvDhg2IiIjA1KlTcezYMQQGBiI0NBQZGRla61+8eBHdunVDYGAgjh07hilTpmD8+PHYuHGjqk5ycjL69euHwYMH4/jx4xg8eDD69u2LQ4cO6d0vERERkb6MGrYWLlyIkSNHYtSoUfD09ERMTAycnZ2xbNkyrfXj4uLg4uKCmJgYeHp6YtSoURgxYgTmz5+vqhMTE4Pg4GBERUWhSZMmiIqKQufOnRETE6N3v0RERET6MlrYKioqQkpKCkJCQtTKQ0JCcODAAa3rJCcna9Tv2rUrjhw5gkePHpVbR9mmPv0SERER6cvMWB3n5uaipKQE9vb2auX29vbIzs7Wuk52drbW+sXFxcjNzYWjo2OZdZRt6tMvABQWFqKwsFD1OD8/HwBQUFBQ5jolhQ/KfO5FU9520gW35WNV3Y4At6US35OGw21pGPx8G05521L5nBDi3xqO8cKWkkwmU3sshNAoq6j+0+W6tFnZfqOjozFr1iyNcmdn5zLXof+x/irM2EN4LnA7Gg63peFwWxoGt6Ph6LIt79y5A2tr639hNEYMW/Xr14epqanGbFJOTo7GrJOSg4OD1vpmZmawsbEpt46yTX36BYCoqChERkaqHpeWluLmzZuwsbEpN6QZU0FBAZydnZGZmYnatWsbezjVGrel4XBbGga3o+FwWxpOddiWQgjcuXMHTk5O/1qfRgtbFhYW8PX1RVJSEt5++21VeVJSEt566y2t6/j7+2Pr1q1qZbt27YKfnx/Mzc1VdZKSkjBx4kS1OgEBAXr3CwByuRxyuVytrE6dOrq9WCOrXbv2M/umr264LQ2H29IwuB0Nh9vScJ71bflvzWgpGfUwYmRkJAYPHgw/Pz/4+/tj+fLlyMjIQFjY4+m/qKgoXL16FWvXrgUAhIWFYcmSJYiMjMTo0aORnJyMlStXYv369ao2J0yYgPbt2+Pzzz/HW2+9hZ9//hm7d+/GH3/8oXO/RERERIZi1LDVr18/5OXlYfbs2cjKyoK3tzcSExPh6uoKAMjKylK795W7uzsSExMxceJELF26FE5OTli8eDF69eqlqhMQEICEhARMmzYN06dPh4eHBzZs2IA2bdro3C8RERGRocjEv3k6Pv2rCgsLER0djaioKI1DoFQ53JaGw21pGNyOhsNtaTjcltoxbBERERFJyOjfjUhERET0PGPYIiIiIpIQwxYRERGRhBi2iIiIiCTEsPWc+v3339GjRw84OTlBJpPhp59+MvaQqqXo6Gi0bt0aVlZWsLOzQ8+ePXH27FljD6vaWbZsGZo1a6a60aG/vz+2b99u7GE9F6KjoyGTyRAREWHsoVQ7M2fOhEwmU1scHByMPaxq6erVqxg0aBBsbGxQo0YNtGjRAikpKcYe1jODYes5de/ePTRv3hxLliwx9lCqtX379mHcuHE4ePAgkpKSUFxcjJCQENy7d8/YQ6tWXnrpJfzf//0fjhw5giNHjqBTp0546623cPr0aWMPrVo7fPgwli9fjmbNmhl7KNVW06ZNkZWVpVpOnjxp7CFVO7du3UK7du1gbm6O7du348yZM1iwYEG1+ZaVf4PRv4iapBEaGorQ0FBjD6Pa27Fjh9rj1atXw87ODikpKWjfvr2RRlX99OjRQ+3xZ599hmXLluHgwYNo2rSpkUZVvd29exfvvvsuVqxYgTlz5hh7ONWWmZkZZ7Oq6PPPP4ezszNWr16tKnNzczPegJ5BnNkiqoT8/HwAQL169Yw8kuqrpKQECQkJuHfvHvz9/Y09nGpr3Lhx6N69O7p06WLsoVRr6enpcHJygru7O/r3748LFy4Ye0jVzpYtW+Dn54c+ffrAzs4OLVu2xIoVK4w9rGcKwxaRjoQQiIyMxGuvvQZvb29jD6faOXnyJGrVqgW5XI6wsDBs3rwZXl5exh5WtZSQkICjR48iOjra2EOp1tq0aYO1a9di586dWLFiBbKzsxEQEIC8vDxjD61auXDhApYtW4ZXXnkFO3fuRFhYGMaPH6/6XmPiYUQinb3//vs4ceKE2peak+4aN26M1NRU3L59Gxs3bsTQoUOxb98+Bq5KyszMxIQJE7Br1y4oFApjD6dae/JUCx8fH/j7+8PDwwNr1qxBZGSkEUdWvZSWlsLPzw9z584FALRs2RKnT5/GsmXLMGTIECOP7tnAmS0iHXzwwQfYsmUL9uzZg5deesnYw6mWLCws0LBhQ/j5+SE6OhrNmzfHokWLjD2saiclJQU5OTnw9fWFmZkZzMzMsG/fPixevBhmZmYoKSkx9hCrrZo1a8LHxwfp6enGHkq14ujoqPFPk6enJzIyMow0omcPZ7aIyiGEwAcffIDNmzdj7969cHd3N/aQnhtCCBQWFhp7GNVO586dNa6YGz58OJo0aYKPPvoIpqamRhpZ9VdYWIi0tDQEBgYaeyjVSrt27TRuifPPP//A1dXVSCN69jBsPafu3r2Lc+fOqR5fvHgRqampqFevHlxcXIw4supl3LhxWLduHX7++WdYWVkhOzsbAGBtbQ1LS0sjj676mDJlCkJDQ+Hs7Iw7d+4gISEBe/fu1bjakypmZWWlcc5gzZo1YWNjw3MJK2ny5Mno0aMHXFxckJOTgzlz5qCgoABDhw419tCqlYkTJyIgIABz585F37598ddff2H58uVYvny5sYf27BD0XNqzZ48AoLEMHTrU2EOrVrRtQwBi9erVxh5atTJixAjh6uoqLCwshK2trejcubPYtWuXsYf13AgKChITJkww9jCqnX79+glHR0dhbm4unJycxDvvvCNOnz5t7GFVS1u3bhXe3t5CLpeLJk2aiOXLlxt7SM8UmRBCGCnnERERET33eII8ERERkYQYtoiIiIgkxLBFREREJCGGLSIiIiIJMWwRERERSYhhi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRPfMyMzMxcuRIODk5wcLCAq6urpgwYQLy8vJ0buPSpUuQyWRITU2VbqBERFowbBHRM+3ChQvw8/PDP//8g/Xr1+PcuXOIi4vDr7/+Cn9/f9y8edPYQyQiKhfDFhE908aNGwcLCwvs2rULQUFBcHFxQWhoKHbv3o2rV69i6tSpAACZTIaffvpJbd06deogPj4eAODu7g4AaNmyJWQyGTp06KCqt2rVKjRt2hRyuRyOjo54//33Vc9lZGTgrbfeQq1atVC7dm307dsX169fVz0/c+ZMtGjRAqtWrYKLiwtq1aqFsWPHoqSkBPPmzYODgwPs7Ozw2WefqY0tPz8fY8aMgZ2dHWrXro1OnTrh+PHjBtxyRPSsYNgiomfWzZs3sXPnToSHh8PS0lLtOQcHB7z77rvYsGEDdPmK17/++gsAsHv3bmRlZWHTpk0AgGXLlmHcuHEYM2YMTp48iS1btqBhw4YAACEEevbsiZs3b2Lfvn1ISkrC+fPn0a9fP7W2z58/j+3bt2PHjh1Yv349Vq1ahe7du+PKlSvYt28fPv/8c0ybNg0HDx5Utdu9e3dkZ2cjMTERKSkpaNWqFTp37syZOqLnkJmxB0BEVJb09HQIIeDp6an1eU9PT9y6dQs3btyosC1bW1sAgI2NDRwcHFTlc+bMwaRJkzBhwgRVWevWrQE8DmYnTpzAxYsX4ezsDAD49ttv0bRpUxw+fFhVr7S0FKtWrYKVlRW8vLzQsWNHnD17FomJiTAxMUHjxo3x+eefY+/evWjbti327NmDkydPIicnB3K5HAAwf/58/PTTT/jxxx8xZswYPbYWET2rGLaIqNpSzmjJZDK91s/JycG1a9fQuXNnrc+npaXB2dlZFbQAwMvLC3Xq1EFaWpoqbLm5ucHKykpVx97eHqampjAxMVEry8nJAQCkpKTg7t27sLGxUevvwYMHOH/+vF6vhYieXQxbRPTMatiwIWQyGc6cOYOePXtqPP/333+jbt26qF+/PmQymcbhxEePHpXb/tOHJp8mhNAa5J4uNzc3V3teJpNpLSstLQXweCbM0dERe/fu1Wi7Tp065Y6JiKofnrNFRM8sGxsbBAcHIzY2Fg8ePFB7Ljs7G99//z369esHmUwGW1tbZGVlqZ5PT0/H/fv3VY8tLCwAACUlJaoyKysruLm54ddff9Xav5eXFzIyMpCZmakqO3PmDPLz88s8tKmLVq1aITs7G2ZmZmjYsKHaUr9+fb3bJaJnE8MWET3TlixZgsLCQnTt2hW///47MjMzsWPHDgQHB6NBgwaqq/w6deqEJUuW4OjRozhy5AjCwsLUZpfs7OxgaWmJHTt24Pr168jPzwfw+GrCBQsWYPHixUhPT8fRo0fx1VdfAQC6dOmCZs2a4d1338XRo0fx119/YciQIQgKCoKfn5/er6lLly7w9/dHz549sXPnTly6dAkHDhzAtGnTcOTIkSpsLSJ6FjFsEdEz7ZVXXsGRI0fg4eGBfv36wcPDA2PGjEHHjh2RnJyMevXqAQAWLFgAZ2dntG/fHgMHDsTkyZNRo0YNVTtmZmZYvHgxvv76azg5OeGtt94CAAwdOhQxMTGIjY1F06ZN8cYbbyA9PR3A/24nUbduXbRv3x5dunTByy+/jA0bNlTpNclkMiQmJqJ9+/YYMWIEGjVqhP79++PSpUuwt7evUttE9OyRCV2umSYiIiIivXBmi4iIiEhCDFtEREREEmLYIiIiIpIQwxYRERGRhBi2iIiIiCTEsEVEREQkIYYtIiIiIgkxbBERERFJiGGLiIiISEIMW0REREQSYtgiIiIikhDDFhEREZGE/h+2dnZWpv0QnAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "NUM_ROLLS = 1000\n", + "\n", + "plt.close()\n", + "plt.gcf().subplots_adjust() \n", + "\n", + "values = [1, 2, 3, 4, 5, 6]\n", + "sample = np.random.choice(values, NUM_ROLLS)\n", + "\n", + "# Numpy arrays containing counts for each side\n", + "side, count = np.unique(sample, return_counts=True)\n", + "probs = count / len(sample)\n", + "\n", + "# Plot the results\n", + "sns.barplot(x=side, y=probs)\n", + "plt.title(\n", + " f\"Discrete Probability Distribution for Fair 6-Sided Die ({NUM_ROLLS} rolls)\")\n", + "plt.ylabel(\"Probability\")\n", + "plt.xlabel(\"Outcome\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Surprisal and Entropy" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ { - "cell_type": "markdown", - "source": "# Surprisal and Entropy", - "metadata": {} + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Normando\\AppData\\Local\\Temp\\ipykernel_19840\\1434730445.py:8: RuntimeWarning: divide by zero encountered in log2\n", + " y = -x*np.log2(x) - (1-x)*np.log2(1-x)\n", + "C:\\Users\\Normando\\AppData\\Local\\Temp\\ipykernel_19840\\1434730445.py:8: RuntimeWarning: invalid value encountered in multiply\n", + " y = -x*np.log2(x) - (1-x)*np.log2(1-x)\n" + ] }, { - "cell_type": "code", - "source": "import numpy as np\nimport matplotlib.pyplot as plt\n\nplt.close()\nplt.gcf().subplots_adjust() \n\nx = np.arange(0, 1, 0.001)\ny = -x*np.log2(x) - (1-x)*np.log2(1-x)\nplt.plot(x, y)\n \nplt.grid(True)\nplt.xticks([i/10.0 for i in range(0,11)])\nplt.title(\"binary entropy function\")\nplt.xlabel(r\"$p$\")\nplt.ylabel(r\"$h(p) := -p \\cdot \\log(p) -(1-p) \\cdot \\log(1-p)$\")\nplt.savefig(\"binaryentropy\", transparent=True)\nplt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 24, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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", + "text/plain": [ + "
" ] - }, - { - "cell_type": "code", - "source": "def entropy(prob_dist):\n '''\n :param prob_dist: a list of non-negative floats that sum to 1\n :return: (base 2) Shannon entropy of prob_dist\n '''\n assert(all(p>=0 for p in prob_dist))\n assert(np.isclose(sum(prob_dist),1))\n\n # https://en.wikipedia.org/wiki/Entropy_%28information_theory%29\n # Shannon entropy H(p_i) = - sum_i p_i * log2(p_i)\n ent = 0.0\n for p in prob_dist:\n ent -= p * np.log2(p)\n\n return ent\n ", - "metadata": { - "trusted": true - }, - "execution_count": 25, - "outputs": [] - }, - { - "cell_type": "code", - "source": "def plot_binomial_pie(n=6, p=0.5):\n \"\"\"Plot the probability mass of a binomial distribution\"\"\"\n\n # defining list of r values\n k_values = list(range(n + 1))\n # list of pmf values\n dist = [binom.pmf(k, n, p) for k in k_values ]\n # plotting the graph \n plt.pie(dist, labels = k_values, startangle = 90)\n \n # computing the Shannon entropy\n ent = entropy(dist)\n plt.title(\"binomial distribution with entropy H={:.3f}\".format(ent)) \n plt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 26, - "outputs": [] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.close()\n", + "plt.gcf().subplots_adjust() \n", + "\n", + "x = np.arange(0, 1, 0.001)\n", + "y = -x*np.log2(x) - (1-x)*np.log2(1-x)\n", + "plt.plot(x, y)\n", + " \n", + "plt.grid(True)\n", + "plt.xticks([i/10.0 for i in range(0,11)])\n", + "plt.title(\"binary entropy function\")\n", + "plt.xlabel(r\"$p$\")\n", + "plt.ylabel(r\"$h(p) := -p \\cdot \\log(p) -(1-p) \\cdot \\log(1-p)$\")\n", + "plt.savefig(\"binaryentropy\", transparent=True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "def entropy(prob_dist):\n", + " '''\n", + " :param prob_dist: a list of non-negative floats that sum to 1\n", + " :return: (base 2) Shannon entropy of prob_dist\n", + " '''\n", + " assert(all(p>=0 for p in prob_dist))\n", + " assert(np.isclose(sum(prob_dist),1))\n", + "\n", + " # https://en.wikipedia.org/wiki/Entropy_%28information_theory%29\n", + " # Shannon entropy H(p_i) = - sum_i p_i * log2(p_i)\n", + " ent = 0.0\n", + " for p in prob_dist:\n", + " ent -= p * np.log2(p)\n", + "\n", + " return ent\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_binomial_pie(n=6, p=0.5):\n", + " \"\"\"Plot the probability mass of a binomial distribution\"\"\"\n", + "\n", + " # defining list of r values\n", + " k_values = list(range(n + 1))\n", + " # list of pmf values\n", + " dist = [binom.pmf(k, n, p) for k in k_values ]\n", + " # plotting the graph \n", + " plt.pie(dist, labels = k_values, startangle = 90)\n", + " \n", + " # computing the Shannon entropy\n", + " ent = entropy(dist)\n", + " plt.title(\"binomial distribution with entropy H={:.3f}\".format(ent)) \n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "w=interactive(plot_binomial_pie,n=(0,20),p=(0.0,1.0))\nw", - "metadata": { - "trusted": true + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "662e415f552443ed98ad2bd211f213d0", + "version_major": 2, + "version_minor": 0 }, - "execution_count": 27, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "interactive(children=(IntSlider(value=6, description='n', max=20), FloatSlider(value=0.5, description='p', max…", - "application/vnd.jupyter.widget-view+json": { - "version_major": 2, - "version_minor": 0, - "model_id": "35d57def865f4034a0a9893b2dc9838c" - } - }, - "metadata": {} - }, - { - "execution_count": 27, - "output_type": "execute_result", - "data": {}, - "metadata": {} - } + "text/plain": [ + "interactive(children=(IntSlider(value=6, description='n', max=20), FloatSlider(value=0.5, description='p', max…" ] - }, - { - "cell_type": "code", - "source": "def plot_uniform_pie(n=6):\n \"\"\"Plot the probability mass of a uniform distribution\"\"\"\n\n dist = [1/n for i in range(n)]\n # plotting the graph \n plt.pie(dist, startangle = 90)\n \n # computing the Shannon entropy\n ent = entropy(dist)\n plt.title(r\"$H(unif)=\\log_2({})={:.3f}$\".format(n,ent)) \n plt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 28, - "outputs": [] - }, + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w=interactive(plot_binomial_pie,n=(0,20),p=(0.0,1.0))\n", + "w" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_uniform_pie(n=6):\n", + " \"\"\"Plot the probability mass of a uniform distribution\"\"\"\n", + "\n", + " dist = [1/n for i in range(n)]\n", + " # plotting the graph \n", + " plt.pie(dist, startangle = 90)\n", + " \n", + " # computing the Shannon entropy\n", + " ent = entropy(dist)\n", + " plt.title(r\"$H(unif)=\\log_2({})={:.3f}$\".format(n,ent)) \n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "w=interactive(plot_uniform_pie,n=(0,32))\nw", - "metadata": { - "trusted": true + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "6781d1a4aab946d2a921bfddc3e08d4f", + "version_major": 2, + "version_minor": 0 }, - "execution_count": 29, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "interactive(children=(IntSlider(value=6, description='n', max=32), Output()), _dom_classes=('widget-interact',…", - "application/vnd.jupyter.widget-view+json": { - "version_major": 2, - "version_minor": 0, - "model_id": "dfbf2b3fa4f54bbaa63c04031eea7ef0" - } - }, - "metadata": {} - }, - { - "execution_count": 29, - "output_type": "execute_result", - "data": {}, - "metadata": {} - } + "text/plain": [ + "interactive(children=(IntSlider(value=6, description='n', max=32), Output()), _dom_classes=('widget-interact',…" ] - }, + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w=interactive(plot_uniform_pie,n=(0,32))\n", + "w" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "y = np.array([0.27, 0.23, 1/6, 1/6, 1/12,1/12])\nmyexplode = [0.01 for i in range(len(y))]\nplt.pie(y, startangle = 90, explode = myexplode)\nent = entropy(y)\nplt.title(r\"$H={:.3f}$\".format(ent))\nplt.savefig(\"example1\", transparent=True)\nplt.show() \n# TODO: adjust colors to the ones used on the slide", - "metadata": { - "trusted": true - }, - "execution_count": 30, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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", + "text/plain": [ + "
" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y = np.array([0.27, 0.23, 1/6, 1/6, 1/12,1/12])\n", + "myexplode = [0.01 for i in range(len(y))]\n", + "plt.pie(y, startangle = 90, explode = myexplode)\n", + "ent = entropy(y)\n", + "plt.title(r\"$H={:.3f}$\".format(ent))\n", + "plt.savefig(\"example1\", transparent=True)\n", + "plt.show() \n", + "# TODO: adjust colors to the ones used on the slide" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "y = np.array([0.46, 0.46, 0.02, 0.02, 0.02,0.02])\nmyexplode = [0.02 for i in range(len(y))]\nplt.pie(y, startangle = 90, explode = myexplode)\nent = entropy(y)\nplt.title(r\"$H={:.3f}$\".format(ent))\nplt.savefig(\"example1\", transparent=True)\nplt.show() \n# TODO: adjust colors to the ones used on the slide", - "metadata": { - "trusted": true - }, - "execution_count": 31, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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", + "text/plain": [ + "
" ] - }, - { - "cell_type": "markdown", - "source": "# Huffman coding\n\ncode from https://favtutor.com/blogs/huffman-coding and https://www.programiz.com/dsa/huffman-coding", - "metadata": {} - }, - { - "cell_type": "code", - "source": "from collections import Counter\n\n\nclass NodeTree(object):\n def __init__(self, left=None, right=None):\n self.left = left\n self.right = right\n\n def children(self):\n return self.left, self.right\n\n def __str__(self):\n return self.left, self.right\n\n\ndef huffman_code_tree(node, binString=''):\n '''\n Function to find Huffman Code\n '''\n if type(node) is str:\n return {node: binString}\n (l, r) = node.children()\n d = dict()\n d.update(huffman_code_tree(l, binString + '0'))\n d.update(huffman_code_tree(r, binString + '1'))\n return d\n\n\ndef make_tree(nodes):\n '''\n Function to make tree\n :param nodes: Nodes\n :return: Root of the tree\n '''\n while len(nodes) > 1:\n (key1, c1) = nodes[-1]\n (key2, c2) = nodes[-2]\n nodes = nodes[:-2]\n node = NodeTree(key1, key2)\n nodes.append((node, c1 + c2))\n nodes = sorted(nodes, key=lambda x: x[1], reverse=True)\n return nodes[0][0]", - "metadata": { - "trusted": true - }, - "execution_count": 32, - "outputs": [] - }, - { - "cell_type": "code", - "source": "def huffman(input):\n count = Counter(input)\n # freq = sorted(freq.items(), key=lambda x: x[1], reverse=True)\n node = make_tree(list(count.most_common()))\n encoding = huffman_code_tree(node)\n\n # compute Shannon entropy of frequency distribution for comparison\n total_count = sum(count.values())\n letters, freq = zip(*count.most_common())\n freq = [x / total_count for x in freq]\n ent = entropy(freq)\n\n return encoding, \"\".join([encoding[a] for a in input]), ent\n", - "metadata": { - "trusted": true - }, - "execution_count": 33, - "outputs": [] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y = np.array([0.46, 0.46, 0.02, 0.02, 0.02,0.02])\n", + "myexplode = [0.02 for i in range(len(y))]\n", + "plt.pie(y, startangle = 90, explode = myexplode)\n", + "ent = entropy(y)\n", + "plt.title(r\"$H={:.3f}$\".format(ent))\n", + "plt.savefig(\"example1\", transparent=True)\n", + "plt.show() \n", + "# TODO: adjust colors to the ones used on the slide" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Huffman coding\n", + "\n", + "code from https://favtutor.com/blogs/huffman-coding and https://www.programiz.com/dsa/huffman-coding" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "from collections import Counter\n", + "\n", + "\n", + "class NodeTree(object):\n", + " def __init__(self, left=None, right=None):\n", + " self.left = left\n", + " self.right = right\n", + "\n", + " def children(self):\n", + " return self.left, self.right\n", + "\n", + " def __str__(self):\n", + " return self.left, self.right\n", + "\n", + "\n", + "def huffman_code_tree(node, binString=''):\n", + " '''\n", + " Function to find Huffman Code\n", + " '''\n", + " if type(node) is str:\n", + " return {node: binString}\n", + " (l, r) = node.children()\n", + " d = dict()\n", + " d.update(huffman_code_tree(l, binString + '0'))\n", + " d.update(huffman_code_tree(r, binString + '1'))\n", + " return d\n", + "\n", + "\n", + "def make_tree(nodes):\n", + " '''\n", + " Function to make tree\n", + " :param nodes: Nodes\n", + " :return: Root of the tree\n", + " '''\n", + " while len(nodes) > 1:\n", + " (key1, c1) = nodes[-1]\n", + " (key2, c2) = nodes[-2]\n", + " nodes = nodes[:-2]\n", + " node = NodeTree(key1, key2)\n", + " nodes.append((node, c1 + c2))\n", + " nodes = sorted(nodes, key=lambda x: x[1], reverse=True)\n", + " return nodes[0][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "def huffman(input):\n", + " count = Counter(input)\n", + " # freq = sorted(freq.items(), key=lambda x: x[1], reverse=True)\n", + " node = make_tree(list(count.most_common()))\n", + " encoding = huffman_code_tree(node)\n", + "\n", + " # compute Shannon entropy of frequency distribution for comparison\n", + " total_count = sum(count.values())\n", + " letters, freq = zip(*count.most_common())\n", + " freq = [x / total_count for x in freq]\n", + " ent = entropy(freq)\n", + "\n", + " return encoding, \"\".join([encoding[a] for a in input]), ent\n" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "input = 'BCAADDDCCACACAC'\nlen(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input)", - "metadata": { - "trusted": true - }, - "execution_count": 34, - "outputs": [ - { - "execution_count": 34, - "output_type": "execute_result", - "data": { - "text/plain": "(120, 28, 26.72905595320056)" - }, - "metadata": {} - } + "data": { + "text/plain": [ + "(120, 28, np.float64(26.72905595320056))" ] - }, + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "input = 'BCAADDDCCACACAC'\n", + "len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "input = Alice_data\nlen(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2]", - "metadata": { - "trusted": true - }, - "execution_count": 35, - "outputs": [ - { - "execution_count": 35, - "output_type": "execute_result", - "data": { - "text/plain": "(100000, 800000, 407804, 404175.25875771494, 4.041752587577149)" - }, - "metadata": {} - } + "data": { + "text/plain": [ + "(100000,\n", + " 800000,\n", + " 407804,\n", + " np.float64(404175.25875771494),\n", + " np.float64(4.041752587577149))" ] - }, + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "input = Alice_data\n", + "len(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2]" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "import numpy as np\nimport matplotlib.pyplot as plt\n\ninput = Alice_data\nlen(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2]\n\nx = ['ASCII', 'Huffman', 'entropy * 100000', 'zipped']\ncoding = [len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), 33341*8]\n\nx_pos = [i for i, _ in enumerate(x)]\n\nplt.close()\nplt.gcf().subplots_adjust() \n\nplt.bar(x_pos, coding)\nplt.xticks(x_pos, x)\nplt.xlabel(\"code\")\nplt.ylabel(\"# bits\")\nplt.title(\"size of Alice in Wonderland\")\nplt.tight_layout()\nplt.savefig(\"Alice_numbers\", transparent=True)\n\nplt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 36, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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uvfdezJs3D3Pnzr3p644dOwYAeP311xvNCw0NxcaNG2FmZoYdO3bgr3/9KzZt2oS4uDiYm5ujT58+8Pf3x4ABA5odW0hICGxsbBAXF4dJkybBzMwMgwcPxt69e+Hr69vqba3//Ny0adOanG9hYYGwsDAsW7YMP/zwAx577LEWLXfQoEE4fPgwFi5ciAULFuDSpUvQarV46qmnpM8c9urVC99//z3eeecdvPfeezh79ixsbW3h6uqKUaNGddhRvOHDh2Pbtm2yW5nU8/f3l74+rOG9AdevX4/7778fiYmJeP/996HRaDBq1CjExcU1+Zm6W9Fqtdi/fz9mz56NV155BdbW1nj66aexdu1aTJgwQZadPHky7r33XqxYsQLTpk3DpUuX4OjoiEceeaTRBR0t1aNHD6SmpiImJgaTJ0+GjY0NJkyYgK1bt7b456Aha2trfPPNN5g9ezbmz58PlUqFwMBAJCcn39bPL1F7UQlxB78okIiIiIjaDa+KJSIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIiheB97O6wuro6lJSUwNbWtkVfjUNERER3NyEELl26BJ1O1+hbdhpisbvDSkpK4Ozs3NHDICIioj+Y4uLiW36rDYvdHVb/RenFxcWws7Pr4NEQERFRZ1dRUQFnZ2epQzSHxe4Oqz/9amdnx2JHRERELdaSj3Dx4gkiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihejQYnft2jW8+eabcHV1hZWVFe677z4sWbIEdXV1UkYIgUWLFkGn08HKygrDhg3DsWPHZMsxmUyYNWsWHBwcYGNjg/Hjx+Ps2bOyjMFggF6vh0ajgUajgV6vx8WLF2WZoqIijBs3DjY2NnBwcEBkZCSqq6tlmaNHj8Lf3x9WVlbo3bs3lixZAiFE2+4YIiIiotvQocVu+fLl+OCDD7B27VqcOHECK1aswHvvvYc1a9ZImRUrViAhIQFr165FTk4OtFotAgICcOnSJSkTFRWFlJQUJCcnIzMzE5cvX0ZwcDBqa2ulTEhICPLz85GWloa0tDTk5+dDr9dL82trazF27FhUVlYiMzMTycnJ2L59O2JiYqRMRUUFAgICoNPpkJOTgzVr1iA+Ph4JCQntvKeIiIiIWkB0oLFjx4qXXnpJNu2ZZ54RkydPFkIIUVdXJ7RarVi2bJk0/+rVq0Kj0YgPPvhACCHExYsXhYWFhUhOTpYyv/zyi+jSpYtIS0sTQghx/PhxAUBkZ2dLmaysLAFAnDx5UgghxM6dO0WXLl3EL7/8ImU+/fRToVarhdFoFEIIsW7dOqHRaMTVq1elTFxcnNDpdKKurq5F22w0GgUAaZlEREREzWlNd+jQI3ZDhgzBnj17cPr0aQDAkSNHkJmZiTFjxgAAzpw5g7KyMgQGBkqvUavV8Pf3x8GDBwEAubm5qKmpkWV0Oh08PDykTFZWFjQaDby9vaXM4MGDodFoZBkPDw/odDopExQUBJPJhNzcXCnj7+8PtVoty5SUlKCwsLAtdw0RERFRq5l35MrnzZsHo9GIhx56CGZmZqitrcXSpUvxl7/8BQBQVlYGAHBycpK9zsnJCT///LOUsbS0hL29faNM/evLysrg6OjYaP2Ojo6yTMP12Nvbw9LSUpZxcXFptJ76ea6uro3WYTKZYDKZpOcVFRXN7BEiIiKi29ehxW7r1q3YvHkztmzZgocffhj5+fmIioqCTqdDaGiolFOpVLLXCSEaTWuoYaapfFtkxP+/cOJm44mLi8PixYubHWtbc5mfekfXR80rXDa2o4dARER3iQ49Ffvaa69h/vz5eP755zFgwADo9Xq8+uqriIuLAwBotVoA/3fkrl55ebl0pEyr1aK6uhoGg6HZzLlz5xqt//z587JMw/UYDAbU1NQ0mykvLwfQ+KhivQULFsBoNEqP4uLiW+wVIiIiotvTocXuypUr6NJFPgQzMzPpdieurq7QarXIyMiQ5ldXV2P//v3w9fUFAHh6esLCwkKWKS0tRUFBgZTx8fGB0WjE4cOHpcyhQ4dgNBplmYKCApSWlkqZ9PR0qNVqeHp6SpkDBw7IboGSnp4OnU7X6BRtPbVaDTs7O9mDiIiIqD10aLEbN24cli5ditTUVBQWFiIlJQUJCQl4+umnAVw/vRkVFYXY2FikpKSgoKAAYWFhsLa2RkhICABAo9FgypQpiImJwZ49e5CXl4fJkydjwIABGDlyJACgf//+GDVqFMLDw5GdnY3s7GyEh4cjODgYbm5uAIDAwEC4u7tDr9cjLy8Pe/bswZw5cxAeHi6VsZCQEKjVaoSFhaGgoAApKSmIjY1FdHT0LU8NExEREbW3Dv2M3Zo1a/DWW28hIiIC5eXl0Ol0mDZtGt5++20pM3fuXFRVVSEiIgIGgwHe3t5IT0+Hra2tlFm1ahXMzc0xceJEVFVVYcSIEdi4cSPMzMykTFJSEiIjI6WrZ8ePH4+1a9dK883MzJCamoqIiAj4+fnBysoKISEhiI+PlzIajQYZGRmYMWMGvLy8YG9vj+joaERHR7fnbiIiIiJqEZUQ/NqEO6miogIajQZGo7HdTsvy4onOhRdPEBHR79Ga7sDviiUiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSiA4tdi4uLlCpVI0eM2bMAAAIIbBo0SLodDpYWVlh2LBhOHbsmGwZJpMJs2bNgoODA2xsbDB+/HicPXtWljEYDNDr9dBoNNBoNNDr9bh48aIsU1RUhHHjxsHGxgYODg6IjIxEdXW1LHP06FH4+/vDysoKvXv3xpIlSyCEaPsdQ0RERHQbOrTY5eTkoLS0VHpkZGQAAP785z8DAFasWIGEhASsXbsWOTk50Gq1CAgIwKVLl6RlREVFISUlBcnJycjMzMTly5cRHByM2tpaKRMSEoL8/HykpaUhLS0N+fn50Ov10vza2lqMHTsWlZWVyMzMRHJyMrZv346YmBgpU1FRgYCAAOh0OuTk5GDNmjWIj49HQkJCe+8mIiIiohZRiU50yCkqKgpfffUVfvzxRwCATqdDVFQU5s2bB+D60TknJycsX74c06ZNg9FoRM+ePbFp0yZMmjQJAFBSUgJnZ2fs3LkTQUFBOHHiBNzd3ZGdnQ1vb28AQHZ2Nnx8fHDy5Em4ublh165dCA4ORnFxMXQ6HQAgOTkZYWFhKC8vh52dHdavX48FCxbg3LlzUKvVAIBly5ZhzZo1OHv2LFQqVYu2saKiAhqNBkajEXZ2dm26/+q5zE9tl+XS7SlcNrajh0BERH9grekOneYzdtXV1di8eTNeeuklqFQqnDlzBmVlZQgMDJQyarUa/v7+OHjwIAAgNzcXNTU1soxOp4OHh4eUycrKgkajkUodAAwePBgajUaW8fDwkEodAAQFBcFkMiE3N1fK+Pv7S6WuPlNSUoLCwsK23yFERERErdRpit0XX3yBixcvIiwsDABQVlYGAHBycpLlnJycpHllZWWwtLSEvb19sxlHR8dG63N0dJRlGq7H3t4elpaWzWbqn9dnmmIymVBRUSF7EBEREbWHTlPsEhMTMXr0aNlRMwCNTnEKIW552rNhpql8W2Tqz2I3N564uDjpog2NRgNnZ+dmx05ERER0uzpFsfv555+xe/duTJ06VZqm1WoBND4aVl5eLh0p02q1qK6uhsFgaDZz7ty5Rus8f/68LNNwPQaDATU1Nc1mysvLATQ+qnijBQsWwGg0So/i4uKbZomIiIh+j05R7DZs2ABHR0eMHft/HzJ3dXWFVquVrpQFrn8Ob//+/fD19QUAeHp6wsLCQpYpLS1FQUGBlPHx8YHRaMThw4elzKFDh2A0GmWZgoIClJaWSpn09HSo1Wp4enpKmQMHDshugZKeng6dTgcXF5ebbptarYadnZ3sQURERNQeOrzY1dXVYcOGDQgNDYW5ubk0XaVSISoqCrGxsUhJSUFBQQHCwsJgbW2NkJAQAIBGo8GUKVMQExODPXv2IC8vD5MnT8aAAQMwcuRIAED//v0xatQohIeHIzs7G9nZ2QgPD0dwcDDc3NwAAIGBgXB3d4der0deXh727NmDOXPmIDw8XCpiISEhUKvVCAsLQ0FBAVJSUhAbG4vo6OgWXxFLRERE1J7Mbx1pX7t370ZRURFeeumlRvPmzp2LqqoqREREwGAwwNvbG+np6bC1tZUyq1atgrm5OSZOnIiqqiqMGDECGzduhJmZmZRJSkpCZGSkdPXs+PHjsXbtWmm+mZkZUlNTERERAT8/P1hZWSEkJATx8fFSRqPRICMjAzNmzICXlxfs7e0RHR2N6Ojo9tgtRERERK3Wqe5jdzfgfezuPryPHRER/R5/yPvYEREREdHvw2JHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQK0eHF7pdffsHkyZPRo0cPWFtb45FHHkFubq40XwiBRYsWQafTwcrKCsOGDcOxY8dkyzCZTJg1axYcHBxgY2OD8ePH4+zZs7KMwWCAXq+HRqOBRqOBXq/HxYsXZZmioiKMGzcONjY2cHBwQGRkJKqrq2WZo0ePwt/fH1ZWVujduzeWLFkCIUTb7hQiIiKi29Chxc5gMMDPzw8WFhbYtWsXjh8/jpUrV+Kee+6RMitWrEBCQgLWrl2LnJwcaLVaBAQE4NKlS1ImKioKKSkpSE5ORmZmJi5fvozg4GDU1tZKmZCQEOTn5yMtLQ1paWnIz8+HXq+X5tfW1mLs2LGorKxEZmYmkpOTsX37dsTExEiZiooKBAQEQKfTIScnB2vWrEF8fDwSEhLad0cRERERtYBKdODhpvnz5+O7777Dt99+2+R8IQR0Oh2ioqIwb948ANePzjk5OWH58uWYNm0ajEYjevbsiU2bNmHSpEkAgJKSEjg7O2Pnzp0ICgrCiRMn4O7ujuzsbHh7ewMAsrOz4ePjg5MnT8LNzQ27du1CcHAwiouLodPpAADJyckICwtDeXk57OzssH79eixYsADnzp2DWq0GACxbtgxr1qzB2bNnoVKpbrnNFRUV0Gg0MBqNsLOz+937sCku81PbZbl0ewqXje3oIRAR0R9Ya7pDhx6x27FjB7y8vPDnP/8Zjo6OePTRR/Hhhx9K88+cOYOysjIEBgZK09RqNfz9/XHw4EEAQG5uLmpqamQZnU4HDw8PKZOVlQWNRiOVOgAYPHgwNBqNLOPh4SGVOgAICgqCyWSSTg1nZWXB399fKnX1mZKSEhQWFrbhniEiIiJqvQ4tdj/99BPWr1+PBx54AF9//TWmT5+OyMhIfPLJJwCAsrIyAICTk5PsdU5OTtK8srIyWFpawt7evtmMo6Njo/U7OjrKMg3XY29vD0tLy2Yz9c/rMw2ZTCZUVFTIHkRERETtwbwjV15XVwcvLy/ExsYCAB599FEcO3YM69evx4svvijlGp7iFELc8rRnw0xT+bbI1J/Jvtl44uLisHjx4mbHSkRERNQWOvSIXa9eveDu7i6b1r9/fxQVFQEAtFotgMZHw8rLy6UjZVqtFtXV1TAYDM1mzp0712j958+fl2UarsdgMKCmpqbZTHl5OYDGRxXrLViwAEajUXoUFxc3mSMiIiL6vTq02Pn5+eHUqVOyaadPn0bfvn0BAK6urtBqtcjIyJDmV1dXY//+/fD19QUAeHp6wsLCQpYpLS1FQUGBlPHx8YHRaMThw4elzKFDh2A0GmWZgoIClJaWSpn09HSo1Wp4enpKmQMHDshugZKeng6dTgcXF5cmt1GtVsPOzk72ICIiImoPHVrsXn31VWRnZyM2Nhb/+7//iy1btuAf//gHZsyYAeD66c2oqCjExsYiJSUFBQUFCAsLg7W1NUJCQgAAGo0GU6ZMQUxMDPbs2YO8vDxMnjwZAwYMwMiRIwFcPwo4atQohIeHIzs7G9nZ2QgPD0dwcDDc3NwAAIGBgXB3d4der0deXh727NmDOXPmIDw8XCpjISEhUKvVCAsLQ0FBAVJSUhAbG4vo6OgWXRFLRERE1J469DN2jz/+OFJSUrBgwQIsWbIErq6uWL16NV544QUpM3fuXFRVVSEiIgIGgwHe3t5IT0+Hra2tlFm1ahXMzc0xceJEVFVVYcSIEdi4cSPMzMykTFJSEiIjI6WrZ8ePH4+1a9dK883MzJCamoqIiAj4+fnBysoKISEhiI+PlzIajQYZGRmYMWMGvLy8YG9vj+joaERHR7fnbiIiIiJqkQ69j93diPexu/vwPnZERPR7/GHuY0dEREREbYfFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFILFjoiIiEghWOyIiIiIFKJDi92iRYugUqlkD61WK80XQmDRokXQ6XSwsrLCsGHDcOzYMdkyTCYTZs2aBQcHB9jY2GD8+PE4e/asLGMwGKDX66HRaKDRaKDX63Hx4kVZpqioCOPGjYONjQ0cHBwQGRmJ6upqWebo0aPw9/eHlZUVevfujSVLlkAI0bY7hYiIiOg2dfgRu4cffhilpaXS4+jRo9K8FStWICEhAWvXrkVOTg60Wi0CAgJw6dIlKRMVFYWUlBQkJycjMzMTly9fRnBwMGpra6VMSEgI8vPzkZaWhrS0NOTn50Ov10vza2trMXbsWFRWViIzMxPJycnYvn07YmJipExFRQUCAgKg0+mQk5ODNWvWID4+HgkJCe28h4iIiIhaxrzDB2BuLjtKV08IgdWrV+ONN97AM888AwD4+OOP4eTkhC1btmDatGkwGo1ITEzEpk2bMHLkSADA5s2b4ezsjN27dyMoKAgnTpxAWloasrOz4e3tDQD48MMP4ePjg1OnTsHNzQ3p6ek4fvw4iouLodPpAAArV65EWFgYli5dCjs7OyQlJeHq1avYuHEj1Go1PDw8cPr0aSQkJCA6OhoqleoO7TEiIiKipnX4Ebsff/wROp0Orq6ueP755/HTTz8BAM6cOYOysjIEBgZKWbVaDX9/fxw8eBAAkJubi5qaGllGp9PBw8NDymRlZUGj0UilDgAGDx4MjUYjy3h4eEilDgCCgoJgMpmQm5srZfz9/aFWq2WZkpISFBYWtvFeISIiImq9Di123t7e+OSTT/D111/jww8/RFlZGXx9ffHbb7+hrKwMAODk5CR7jZOTkzSvrKwMlpaWsLe3bzbj6OjYaN2Ojo6yTMP12Nvbw9LSstlM/fP6TFNMJhMqKipkDyIiIqL20KGnYkePHi3994ABA+Dj44P7778fH3/8MQYPHgwAjU5xCiFuedqzYaapfFtk6i+caG48cXFxWLx4cbPjJSIiImoLHX4q9kY2NjYYMGAAfvzxR+lzdw2PhpWXl0tHyrRaLaqrq2EwGJrNnDt3rtG6zp8/L8s0XI/BYEBNTU2zmfLycgCNjyreaMGCBTAajdKjuLi4+Z1AREREdJs6VbEzmUw4ceIEevXqBVdXV2i1WmRkZEjzq6ursX//fvj6+gIAPD09YWFhIcuUlpaioKBAyvj4+MBoNOLw4cNS5tChQzAajbJMQUEBSktLpUx6ejrUajU8PT2lzIEDB2S3QElPT4dOp4OLi8tNt0mtVsPOzk72ICIiImoPHVrs5syZg/379+PMmTM4dOgQnnvuOVRUVCA0NBQqlQpRUVGIjY1FSkoKCgoKEBYWBmtra4SEhAAANBoNpkyZgpiYGOzZswd5eXmYPHkyBgwYIF0l279/f4waNQrh4eHIzs5GdnY2wsPDERwcDDc3NwBAYGAg3N3dodfrkZeXhz179mDOnDkIDw+XilhISAjUajXCwsJQUFCAlJQUxMbG8opYIiIi6jQ69DN2Z8+exV/+8hf8+uuv6NmzJwYPHozs7Gz07dsXADB37lxUVVUhIiICBoMB3t7eSE9Ph62trbSMVatWwdzcHBMnTkRVVRVGjBiBjRs3wszMTMokJSUhMjJSunp2/PjxWLt2rTTfzMwMqampiIiIgJ+fH6ysrBASEoL4+Hgpo9FokJGRgRkzZsDLywv29vaIjo5GdHR0e+8mIiIiohZRCX51wh1VUVEBjUYDo9HYbqdlXeantsty6fYULhvb0UMgIqI/sNZ0h071GTsiIiIiun0sdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBAsdkREREQKwWJHREREpBCtLnZpaWnIzMyUnr///vt45JFHEBISAoPB0KaDIyIiIqKWa3Wxe+2111BRUQEAOHr0KGJiYjBmzBj89NNPiI6ObvMBEhEREVHLmLf2BWfOnIG7uzsAYPv27QgODkZsbCx++OEHjBkzps0HSEREREQt0+ojdpaWlrhy5QoAYPfu3QgMDAQAdO/eXTqSR0RERER3XquP2A0ZMgTR0dHw8/PD4cOHsXXrVgDA6dOn0adPnzYfIBERERG1TKuP2K1duxbm5ub417/+hfXr16N3794AgF27dmHUqFFtPkAiIiIiaplWH7G799578dVXXzWavmrVqjYZEBERERHdnlYfsTMzM0N5eXmj6b/99hvMzMzaZFBERERE1HqtLnZCiCanm0wmWFpa/u4BEREREdHtafGp2L/97W8AAJVKhX/+85/o1q2bNK+2thYHDhzAQw891PYjJCIiIqIWaXGxq/8MnRACH3zwgey0q6WlJVxcXPDBBx+0/QiJiIiIqEVaXOzOnDkDABg+fDg+//xz2Nvbt9ugiIiIiKj1Wn1V7N69e9tjHERERET0O7Wo2EVHR+Odd96BjY3NLb8PNiEhoU0GRkRERESt06Jil5eXh5qaGum/b0alUrXNqIiIiIio1VpU7G48/cpTsURERESdU6vvY3ej4uJinD17tq3GQkRERES/Q6uL3bVr1/DWW29Bo9HAxcUFffv2hUajwZtvvimdriUiIiKiO6/VV8XOnDkTKSkpWLFiBXx8fAAAWVlZWLRoEX799Vfey46IiIiog7S62H366adITk7G6NGjpWkDBw7Evffei+eff57FjoiIiKiDtPpUbNeuXeHi4tJououLC78rloiIiKgDtbrYzZgxA++88w5MJpM0zWQyYenSpZg5c2abDo6IiIiIWq5Fp2KfeeYZ2fPdu3ejT58+GDRoEADgyJEjqK6uxogRI9p+hERERETUIi0qdhqNRvb82WeflT13dnZuuxERERER0W1p0anYDRs2tPhxu+Li4qBSqRAVFSVNE0Jg0aJF0Ol0sLKywrBhw3Ds2DHZ60wmE2bNmgUHBwfY2Nhg/Pjxje6tZzAYoNfrodFooNFooNfrcfHiRVmmqKgI48aNg42NDRwcHBAZGYnq6mpZ5ujRo/D394eVlRV69+6NJUuWQAhx29tMRERE1JZafVVse8jJycE//vEPDBw4UDZ9xYoVSEhIwMaNG/Hggw/i3XffRUBAAE6dOgVbW1sAQFRUFL788kskJyejR48eiImJQXBwMHJzc2FmZgYACAkJwdmzZ5GWlgYAePnll6HX6/Hll18CAGprazF27Fj07NkTmZmZ+O233xAaGgohBNasWQMAqKioQEBAAIYPH46cnBycPn0aYWFhsLGxQUxMzJ3aVUQ35TI/taOHQA0ULhvb0UMgortMhxe7y5cv44UXXsCHH36Id999V5ouhMDq1avxxhtvSJ/x+/jjj+Hk5IQtW7Zg2rRpMBqNSExMxKZNmzBy5EgAwObNm+Hs7Izdu3cjKCgIJ06cQFpaGrKzs+Ht7Q0A+PDDD+Hj44NTp07Bzc0N6enpOH78OIqLi6HT6QAAK1euRFhYGJYuXQo7OzskJSXh6tWr2LhxI9RqNTw8PHD69GkkJCQgOjqa35NLREREHa7Di92MGTMwduxYjBw5Ulbszpw5g7KyMgQGBkrT1Go1/P39cfDgQUybNg25ubmoqamRZXQ6HTw8PHDw4EEEBQUhKysLGo1GKnUAMHjwYGg0Ghw8eBBubm7IysqCh4eHVOoAICgoCCaTCbm5uRg+fDiysrLg7+8PtVotyyxYsACFhYVwdXVtr11ERHRTPFLb+fBILXWkDi12ycnJ+OGHH5CTk9NoXllZGQDAyclJNt3JyQk///yzlLG0tIS9vX2jTP3ry8rK4Ojo2Gj5jo6OskzD9djb28PS0lKWaXj/vvrXlJWV3bTYmUwm2a1hKioqmswRERER/V6tvo9dWykuLsbs2bOxefNmdO3a9aa5hqc4hRC3PO3ZMNNUvi0y9RdONDeeuLg46aINjUbDK4iJiIio3dxWsZs5cyYuXLjwu1acm5uL8vJyeHp6wtzcHObm5ti/fz/+9re/wdzcXHY07Ebl5eXSPK1Wi+rqahgMhmYz586da7T+8+fPyzIN12MwGFBTU9Nspry8HEDjo4o3WrBgAYxGo/QoLi5ufscQERER3aYWF7sbbyGyZcsWXL58GQAwYMCA2yorI0aMwNGjR5Gfny89vLy88MILLyA/Px/33XcftFotMjIypNdUV1dj//798PX1BQB4enrCwsJCliktLUVBQYGU8fHxgdFoxOHDh6XMoUOHYDQaZZmCggKUlpZKmfT0dKjVanh6ekqZAwcOyG6Bkp6eDp1O1+RXrNVTq9Wws7OTPYiIiIjaQ4s/Y/fQQw+hR48e8PPzw9WrV1FcXIx7770XhYWFqKmpafWKbW1t4eHhIZtmY2ODHj16SNOjoqIQGxuLBx54AA888ABiY2NhbW2NkJAQANdvnDxlyhTExMSgR48e6N69O+bMmYMBAwZIV8n2798fo0aNQnh4OP7+978DuH67k+DgYLi5uQEAAgMD4e7uDr1ej/feew8XLlzAnDlzEB4eLhWxkJAQLF68GGFhYXj99dfx448/IjY2Fm+//TaviCUiIqJOocVH7IxGI7Zt2wZPT0/U1dVhzJgxePDBB2EymfD11183Ok3ZFubOnYuoqChERETAy8sLv/zyC9LT06V72AHAqlWr8Kc//QkTJ06En58frK2t8eWXX0r3sAOApKQkDBgwAIGBgQgMDMTAgQOxadMmab6ZmRlSU1PRtWtX+Pn5YeLEifjTn/6E+Ph4KaPRaJCRkYGzZ8/Cy8sLERERiI6ORnR0dJtvNxEREdHtUIkWfnXC1atXpYsc7O3tkZubi9LSUowcORIeHh44fvw4+vTpg1OnTrXrgP/oKioqoNFoYDQa2+20LG9/0LncqVsf8H3vfO7Ee8/3vfPh7U6orbWmO7T4VKydnR0effRR+Pn5obq6GleuXIGfnx/Mzc2xdetW9OnTR/Y5NiIiIiK6s1p8KrakpARvvvkm1Go1rl27Bi8vLwwdOhTV1dX44YcfoFKpMGTIkPYcKxERERE1o8XFzsHBAePGjUNcXBysra2Rk5ODWbNmQaVSYc6cObCzs4O/v397jpWIiIiImnHbNyjWaDSYOHEiLCws8M033+DMmTOIiIhoy7ERERERUSvc1leK/ec//0Hv3r0BAH379oWFhQW0Wi0mTZrUpoMjIiIiopa7rWJ349diFRQUtNlgiIiIiOj2ddh3xRIRERFR22KxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihejQYrd+/XoMHDgQdnZ2sLOzg4+PD3bt2iXNF0Jg0aJF0Ol0sLKywrBhw3Ds2DHZMkwmE2bNmgUHBwfY2Nhg/PjxOHv2rCxjMBig1+uh0Wig0Wig1+tx8eJFWaaoqAjjxo2DjY0NHBwcEBkZierqalnm6NGj8Pf3h5WVFXr37o0lS5ZACNG2O4WIiIjoNnVosevTpw+WLVuG77//Ht9//z2eeuopTJgwQSpvK1asQEJCAtauXYucnBxotVoEBATg0qVL0jKioqKQkpKC5ORkZGZm4vLlywgODkZtba2UCQkJQX5+PtLS0pCWlob8/Hzo9Xppfm1tLcaOHYvKykpkZmYiOTkZ27dvR0xMjJSpqKhAQEAAdDodcnJysGbNGsTHxyMhIeEO7CkiIiKiW1OJTnbIqXv37njvvffw0ksvQafTISoqCvPmzQNw/eick5MTli9fjmnTpsFoNKJnz57YtGkTJk2aBAAoKSmBs7Mzdu7ciaCgIJw4cQLu7u7Izs6Gt7c3ACA7Oxs+Pj44efIk3NzcsGvXLgQHB6O4uBg6nQ4AkJycjLCwMJSXl8POzg7r16/HggULcO7cOajVagDAsmXLsGbNGpw9exYqlapF21dRUQGNRgOj0Qg7O7u23n0AAJf5qe2yXLo9hcvG3pH18H3vfO7Ee8/3vfO5U7/zdPdoTXfoNJ+xq62tRXJyMiorK+Hj44MzZ86grKwMgYGBUkatVsPf3x8HDx4EAOTm5qKmpkaW0el08PDwkDJZWVnQaDRSqQOAwYMHQ6PRyDIeHh5SqQOAoKAgmEwm5ObmShl/f3+p1NVnSkpKUFhY2PY7hIiIiKiVOrzYHT16FN26dYNarcb06dORkpICd3d3lJWVAQCcnJxkeScnJ2leWVkZLC0tYW9v32zG0dGx0XodHR1lmYbrsbe3h6WlZbOZ+uf1maaYTCZUVFTIHkRERETtocOLnZubG/Lz85GdnY1XXnkFoaGhOH78uDS/4SlOIcQtT3s2zDSVb4tM/Vns5sYTFxcnXbSh0Wjg7Ozc7NiJiIiIbleHFztLS0v069cPXl5eiIuLw6BBg/DXv/4VWq0WQOOjYeXl5dKRMq1Wi+rqahgMhmYz586da7Te8+fPyzIN12MwGFBTU9Nspry8HEDjo4o3WrBgAYxGo/QoLi5ufocQERER3aYOL3YNCSFgMpng6uoKrVaLjIwMaV51dTX2798PX19fAICnpycsLCxkmdLSUhQUFEgZHx8fGI1GHD58WMocOnQIRqNRlikoKEBpaamUSU9Ph1qthqenp5Q5cOCA7BYo6enp0Ol0cHFxuen2qNVq6XYu9Q8iIiKi9tChxe7111/Ht99+i8LCQhw9ehRvvPEG9u3bhxdeeAEqlQpRUVGIjY1FSkoKCgoKEBYWBmtra4SEhAAANBoNpkyZgpiYGOzZswd5eXmYPHkyBgwYgJEjRwIA+vfvj1GjRiE8PBzZ2dnIzs5GeHg4goOD4ebmBgAIDAyEu7s79Ho98vLysGfPHsyZMwfh4eFSEQsJCYFarUZYWBgKCgqQkpKC2NhYREdHt/iKWCIiIqL2ZN6RKz937hz0ej1KS0uh0WgwcOBApKWlISAgAAAwd+5cVFVVISIiAgaDAd7e3khPT4etra20jFWrVsHc3BwTJ05EVVUVRowYgY0bN8LMzEzKJCUlITIyUrp6dvz48Vi7dq0038zMDKmpqYiIiICfnx+srKwQEhKC+Ph4KaPRaJCRkYEZM2bAy8sL9vb2iI6ORnR0dHvvJiIiIqIW6XT3sVM63sfu7sP72N29eB+7uxPvY0dt7Q95HzsiIiIi+n1Y7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCE69CvFiIiIqPX4jSOdT2f5xhEesSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSiA4tdnFxcXj88cdha2sLR0dH/OlPf8KpU6dkGSEEFi1aBJ1OBysrKwwbNgzHjh2TZUwmE2bNmgUHBwfY2Nhg/PjxOHv2rCxjMBig1+uh0Wig0Wig1+tx8eJFWaaoqAjjxo2DjY0NHBwcEBkZierqalnm6NGj8Pf3h5WVFXr37o0lS5ZACNF2O4WIiIjoNnVosdu/fz9mzJiB7OxsZGRk4Nq1awgMDERlZaWUWbFiBRISErB27Vrk5ORAq9UiICAAly5dkjJRUVFISUlBcnIyMjMzcfnyZQQHB6O2tlbKhISEID8/H2lpaUhLS0N+fj70er00v7a2FmPHjkVlZSUyMzORnJyM7du3IyYmRspUVFQgICAAOp0OOTk5WLNmDeLj45GQkNDOe4qIiIjo1sw7cuVpaWmy5xs2bICjoyNyc3Px5JNPQgiB1atX44033sAzzzwDAPj444/h5OSELVu2YNq0aTAajUhMTMSmTZswcuRIAMDmzZvh7OyM3bt3IygoCCdOnEBaWhqys7Ph7e0NAPjwww/h4+ODU6dOwc3NDenp6Th+/DiKi4uh0+kAACtXrkRYWBiWLl0KOzs7JCUl4erVq9i4cSPUajU8PDxw+vRpJCQkIDo6GiqV6g7uPSIiIiK5TvUZO6PRCADo3r07AODMmTMoKytDYGCglFGr1fD398fBgwcBALm5uaipqZFldDodPDw8pExWVhY0Go1U6gBg8ODB0Gg0soyHh4dU6gAgKCgIJpMJubm5Usbf3x9qtVqWKSkpQWFhYVvuCiIiIqJW6zTFTgiB6OhoDBkyBB4eHgCAsrIyAICTk5Ms6+TkJM0rKyuDpaUl7O3tm804Ojo2Wqejo6Ms03A99vb2sLS0bDZT/7w+05DJZEJFRYXsQURERNQeOk2xmzlzJv7zn//g008/bTSv4SlOIcQtT3s2zDSVb4tM/YUTNxtPXFycdMGGRqOBs7Nzs+MmIiIiul2dotjNmjULO3bswN69e9GnTx9pularBdD4aFh5ebl0pEyr1aK6uhoGg6HZzLlz5xqt9/z587JMw/UYDAbU1NQ0mykvLwfQ+KhivQULFsBoNEqP4uLiZvYEERER0e3r0GInhMDMmTPx+eef45tvvoGrq6tsvqurK7RaLTIyMqRp1dXV2L9/P3x9fQEAnp6esLCwkGVKS0tRUFAgZXx8fGA0GnH48GEpc+jQIRiNRlmmoKAApaWlUiY9PR1qtRqenp5S5sCBA7JboKSnp0On08HFxaXJbVSr1bCzs5M9iIiIiNpDhxa7GTNmYPPmzdiyZQtsbW1RVlaGsrIyVFVVAbh+ejMqKgqxsbFISUlBQUEBwsLCYG1tjZCQEACARqPBlClTEBMTgz179iAvLw+TJ0/GgAEDpKtk+/fvj1GjRiE8PBzZ2dnIzs5GeHg4goOD4ebmBgAIDAyEu7s79Ho98vLysGfPHsyZMwfh4eFSGQsJCYFarUZYWBgKCgqQkpKC2NhYXhFLREREnUKH3u5k/fr1AIBhw4bJpm/YsAFhYWEAgLlz56KqqgoREREwGAzw9vZGeno6bG1tpfyqVatgbm6OiRMnoqqqCiNGjMDGjRthZmYmZZKSkhAZGSldPTt+/HisXbtWmm9mZobU1FRERETAz88PVlZWCAkJQXx8vJTRaDTIyMjAjBkz4OXlBXt7e0RHRyM6Orqtdw0RERFRq6kEvzbhjqqoqIBGo4HRaGy307Iu81PbZbl0ewqXjb0j6+H73vncifee73vnw/f97tSe73trukOnuHiCiIiIiH4/FjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlIIFjsiIiIihWCxIyIiIlKIDi12Bw4cwLhx46DT6aBSqfDFF1/I5gshsGjRIuh0OlhZWWHYsGE4duyYLGMymTBr1iw4ODjAxsYG48ePx9mzZ2UZg8EAvV4PjUYDjUYDvV6PixcvyjJFRUUYN24cbGxs4ODggMjISFRXV8syR48ehb+/P6ysrNC7d28sWbIEQog22x9EREREv0eHFrvKykoMGjQIa9eubXL+ihUrkJCQgLVr1yInJwdarRYBAQG4dOmSlImKikJKSgqSk5ORmZmJy5cvIzg4GLW1tVImJCQE+fn5SEtLQ1paGvLz86HX66X5tbW1GDt2LCorK5GZmYnk5GRs374dMTExUqaiogIBAQHQ6XTIycnBmjVrEB8fj4SEhHbYM0REREStZ96RKx89ejRGjx7d5DwhBFavXo033ngDzzzzDADg448/hpOTE7Zs2YJp06bBaDQiMTERmzZtwsiRIwEAmzdvhrOzM3bv3o2goCCcOHECaWlpyM7Ohre3NwDgww8/hI+PD06dOgU3Nzekp6fj+PHjKC4uhk6nAwCsXLkSYWFhWLp0Kezs7JCUlISrV69i48aNUKvV8PDwwOnTp5GQkIDo6GioVKo7sMeIiIiIbq7TfsbuzJkzKCsrQ2BgoDRNrVbD398fBw8eBADk5uaipqZGltHpdPDw8JAyWVlZ0Gg0UqkDgMGDB0Oj0cgyHh4eUqkDgKCgIJhMJuTm5koZf39/qNVqWaakpASFhYVtvwOIiIiIWqnTFruysjIAgJOTk2y6k5OTNK+srAyWlpawt7dvNuPo6Nho+Y6OjrJMw/XY29vD0tKy2Uz98/pMU0wmEyoqKmQPIiIiovbQaYtdvYanOIUQtzzt2TDTVL4tMvUXTjQ3nri4OOmiDY1GA2dn52bHTkRERHS7Om2x02q1ABofDSsvL5eOlGm1WlRXV8NgMDSbOXfuXKPlnz9/XpZpuB6DwYCamppmM+Xl5QAaH1W80YIFC2A0GqVHcXFx8xtOREREdJs6bbFzdXWFVqtFRkaGNK26uhr79++Hr68vAMDT0xMWFhayTGlpKQoKCqSMj48PjEYjDh8+LGUOHToEo9EoyxQUFKC0tFTKpKenQ61Ww9PTU8ocOHBAdguU9PR06HQ6uLi43HQ71Go17OzsZA8iIiKi9tChxe7y5cvIz89Hfn4+gOsXTOTn56OoqAgqlQpRUVGIjY1FSkoKCgoKEBYWBmtra4SEhAAANBoNpkyZgpiYGOzZswd5eXmYPHkyBgwYIF0l279/f4waNQrh4eHIzs5GdnY2wsPDERwcDDc3NwBAYGAg3N3dodfrkZeXhz179mDOnDkIDw+XilhISAjUajXCwsJQUFCAlJQUxMbG8opYIiIi6jQ69HYn33//PYYPHy49j46OBgCEhoZi48aNmDt3LqqqqhAREQGDwQBvb2+kp6fD1tZWes2qVatgbm6OiRMnoqqqCiNGjMDGjRthZmYmZZKSkhAZGSldPTt+/HjZvfPMzMyQmpqKiIgI+Pn5wcrKCiEhIYiPj5cyGo0GGRkZmDFjBry8vGBvb4/o6GhpzEREREQdTSX41Ql3VEVFBTQaDYxGY7udlnWZn9ouy6XbU7hs7B1ZD9/3zudOvPd83zsfvu93p/Z831vTHTrtZ+yIiIiIqHVY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7IiIiIgUgsWOiIiISCFY7G7DunXr4Orqiq5du8LT0xPffvttRw+JiIiIiMWutbZu3YqoqCi88cYbyMvLw9ChQzF69GgUFRV19NCIiIjoLsdi10oJCQmYMmUKpk6div79+2P16tVwdnbG+vXrO3poREREdJdjsWuF6upq5ObmIjAwUDY9MDAQBw8e7KBREREREV1n3tED+CP59ddfUVtbCycnJ9l0JycnlJWVNfkak8kEk8kkPTcajQCAioqKdhtnnelKuy2bWq893+sb8X3vfO7Ee8/3vfPh+353as/3vX7ZQohbZlnsboNKpZI9F0I0mlYvLi4OixcvbjTd2dm5XcZGnY9mdUePgDoK3/u7E9/3u9OdeN8vXboEjUbTbIbFrhUcHBxgZmbW6OhceXl5o6N49RYsWIDo6GjpeV1dHS5cuIAePXrctAzS9X+dODs7o7i4GHZ2dh09HLpD+L7fnfi+37343reMEAKXLl2CTqe7ZZbFrhUsLS3h6emJjIwMPP3009L0jIwMTJgwocnXqNVqqNVq2bR77rmnPYepKHZ2dvxlvwvxfb878X2/e/G9v7VbHamrx2LXStHR0dDr9fDy8oKPjw/+8Y9/oKioCNOnT+/ooREREdFdjsWulSZNmoTffvsNS5YsQWlpKTw8PLBz50707du3o4dGREREdzkWu9sQERGBiIiIjh6GoqnVaixcuLDRaWxSNr7vdye+73cvvvdtTyVacu0sEREREXV6vEExERERkUKw2BEREREpBIsdEd0xixYtgpOTE1QqFb744oubTiOiP46NGzd2mtt47du3DyqVChcvXuzooXQYFjtqVwcPHoSZmRlGjRrVaN727dvh7e0NjUYDW1tbPPzww4iJiZFlqqursWLFCgwaNAjW1tZwcHCAn58fNmzYgJqaGgBAWFgY/vSnP0mvaficfp+b7c/W/gE9ceIEFi9ejL///e8oLS3F6NGjm5xGbWfRokV45JFHOnoYLRIWFobCwsJb5pYuXQpfX19YW1vftEwUFRVh3LhxsLGxgYODAyIjI1FdXS3LHD16FP7+/rCyskLv3r2xZMmSRl/XtH//fnh6eqJr166477778MEHHzRa1/bt2+Hu7g61Wg13d3ekpKQ0yqxbtw6urq7o2rUrPD098e23395yO/9IJk2ahNOnT3f0MOj/Y7GjdvXRRx9h1qxZyMzMRFFRkTR99+7deP755/Hcc8/h8OHDyM3NxdKlS2V/fKurqxEUFIRly5bh5ZdfxsGDB3H48GHMmDEDa9aswbFjxzpik+g2/fe//wUATJgwAVqtFmq1uslpdOfV/yPpTrtw4QLef/99WaH673//i82bN9/0NdXV1fjzn/+MV155pcn5tbW1GDt2LCorK5GZmYnk5GRs375d9o/GiooKBAQEQKfTIScnB2vWrEF8fDwSEhKkzJkzZzBmzBgMHToUeXl5eP311xEZGYnt27dLmaysLEyaNAl6vR5HjhyBXq/HxIkTcejQISmzdetWREVF4Y033kBeXh6GDh2K0aNHy/4e/tFZWVnB0dGxo4dB9QRRO7l8+bKwtbUVJ0+eFJMmTRKLFy+W5s2ePVsMGzas2dcvX75cdOnSRfzwww+N5lVXV4vLly8LIYQIDQ0VEyZMkOY1fE6/z8325969ewUAYTAYxMKFC8WgQYNk81etWiX69u0rhBBi4cKFAoDs0dS0G9e3dOlS4ejoKDQajVi0aJGoqakRc+bMEfb29qJ3794iMTFRtr65c+eKBx54QFhZWQlXV1fx5ptviurqaml+/Rg/+eQT0bdvX2FnZycmTZokKioq2nR/tZW6ujqxfPly4erqKrp27SoGDhwotm3bJs2v3/+7d+8Wnp6ewsrKSvj4+IiTJ08KIYTYsGFDo/27YcMGIYQQAMT69evF+PHjhbW1tXj77beFEEKsW7dO3HfffcLCwkI8+OCD4pNPPpGNCYBYt26dGDVqlOjatatwcXERn332mTR/+PDhYsaMGbLX/Prrr8LS0lLs2bOn0TZWVlaKBQsWiMDAQDFixAgxb948MXToUJGdnX3L/bNhwwah0WgaTd+5c6fo0qWL+OWXX6Rpn376qVCr1cJoNErbqdFoxNWrV6VMXFyc0Ol0oq6uTghx/efpoYceki172rRpYvDgwdLziRMnilGjRskyQUFB4vnnn5eeP/HEE2L69OmyzEMPPSTmz59/y23sTM6cOdPo5wmA8Pf3b/Re1P+uffDBB6JPnz7CyspKPPfcc8JgMEiZ+t/zRYsWiZ49ewpbW1vx8ssvC5PJJGVu9TsghBCpqanigQceEF27dhXDhg2Tfu5vXNfdhsWO2k1iYqLw8vISQgjx5ZdfChcXF+mPZlxcnOjZs6c4evToTV8/cOBAERgYeMv1sNi1r7YodpcuXZL+4JaWlorS0tImp9Wvz9bWVsyYMUOcPHlSJCYmCgAiKChILF26VJw+fVq88847wsLCQhQVFUnre+edd8R3330nzpw5I3bs2CGcnJzE8uXLpfkLFy4U3bp1E88884w4evSoOHDggNBqteL1119v833WFl5//XXx0EMPibS0NPHf//5XbNiwQajVarFv3z4hxP/tf29vb7Fv3z5x7NgxMXToUOHr6yuEEOLKlSsiJiZGPPzww9L+vXLlihDiekFzdHQUiYmJ4r///a8oLCwUn3/+ubCwsBDvv/++OHXqlFi5cqUwMzMT33zzjTQmAKJHjx7iww8/FKdOnRJvvvmmMDMzE8ePHxdCCJGUlCTs7e1lhemvf/2r7He/KampqcLMzEz4+/vLynhzblbs3nrrLTFw4EDZtAsXLggA0rbo9Xoxfvx4WeaHH34QAMRPP/0khBBi6NChIjIyUpb5/PPPhbm5uTRGZ2dnkZCQIMskJCSIe++9VwghhMlkEmZmZuLzzz+XZSIjI8WTTz7Zou3sLK5duyb9HJWWloq8vDzRo0cP8dZbbzVZ7GxsbMRTTz0l8vLyxP79+0W/fv1ESEiIlAkNDRXdunUTkyZNEgUFBeKrr74SPXv2lP0+3up3oKioSKjVajF79mxx8uRJsXnzZuHk5MRi19EDIOXy9fUVq1evFkIIUVNTIxwcHERGRoYQ4vrRvDFjxggAom/fvmLSpEkiMTFR9j8EKyurRn9Ym8Ji175CQ0OFmZmZsLGxkT26du3a4mInhBApKSnSUbnmpoWGhoq+ffuK2tpaaZqbm5sYOnSo9PzatWvCxsZGfPrppzcd94oVK4Snp6f0fOHChcLa2lp2hO61114T3t7eLdoPd9Lly5dF165dxcGDB2XTp0yZIv7yl78IIeRH7OqlpqYKAKKqqkoIIZp8X4S4XtCioqJk03x9fUV4eLhs2p///GcxZswY2esaHn3y9vYWr7zyihBCiKtXr4ru3buLrVu3SvMfeeQRsWjRoia3s6qqSrz11luyI3ZPPvmkOHToUJP5G92s2IWHh4uAgIBG0y0tLcWWLVuEEEIEBAQ02tZffvlFAJD2+QMPPCCWLl0qy3z33XcCgCgpKRFCCGFhYSGSkpJkmaSkJGFpaSlb5nfffSfLLF26VDz44IO33MbOqqqqSnh7e4vg4GBRW1vbZLEzMzMTxcXF0rRdu3aJLl26yP4B1717d1FZWSll1q9fL7p16yZqa2tb9DuwYMEC0b9/f9k/GubNm3fXFzt+xo7axalTp3D48GE8//zzAABzc3NMmjQJH330EQDAxsYGqamp+N///V+8+eab6NatG2JiYvDEE0/gypUrAAAhBFQqVYdtA/2f4cOHIz8/X/b45z//2W7re/jhh9Gly//9eXJycsKAAQOk52ZmZujRowfKy8ulaf/6178wZMgQaLVadOvWDW+99VajzzG5uLjA1tZWet6rVy/ZMjqL48eP4+rVqwgICEC3bt2kxyeffCJ9LrHewIEDpf/u1asXALRom7y8vGTPT5w4AT8/P9k0Pz8/nDhxQjbNx8en0fP6jFqtxuTJk6Xf8/z8fBw5cgRhYWFNjuHKlStwcnJCWloa+vTpg+nTp+Ojjz763R/Eb+rvRsO/Jw0z4v9/zq8tMg2ntSTzRzJlyhRcunQJW7Zskf2e3ujee+9Fnz59pOc+Pj6oq6vDqVOnpGn1F8XdmLl8+TKKi4tb9Dtw4sQJDB48WLYvG/583o34lWLULhITE3Ht2jX07t1bmiaEgIWFBQwGA+zt7QEA999/P+6//35MnToVb7zxBh588EFs3boV//M//4MHH3yw0f9UqGPY2NigX79+smlnz56V/rtLly6Nrij8PR/It7CwkD1XqVRNTqurqwMAZGdn4/nnn8fixYsRFBQEjUaD5ORkrFy58pbLrV9GZ1I/ptTUVNnvEIBGF5jcuE31/4NryTbZ2Ng0mna7BeTGzNSpU/HII4/g7Nmz+OijjzBixIibfpd29+7dMWPGDNm0+r8Jt0ur1couXgAAg8GAmpoaODk5SZmysjJZpr4M3ypjbm6OHj16NJupX4aDgwPMzMyazfzRvPvuu0hLS8Phw4dl/0i6lfqfkZb+PLXkd6Dh3xy6jkfsqM1du3YNn3zyCVauXCk7wnPkyBH07dsXSUlJTb7OxcUF1tbWqKysBACEhIRg9+7dyMvLa3Id9TnqeD179kRZWZnsD21+fv4dW/93332Hvn374o033oCXlxceeOAB/Pzzz3ds/W2t/vYZRUVF6Nevn+zh7Ozc4uVYWlqitra2Rdn+/fsjMzNTNu3gwYPo37+/bFp2dnaj5w899JD0fMCAAfDy8sKHH36ILVu24KWXXmrR+jdu3AgXF5cWZZvj4+ODgoIClJaWStPS09OhVqvh6ekpZQ4cOCC7Cj89PR06nU4ag4+PDzIyMmTLTk9Ph5eXl1Smb5bx9fUFcH3/e3p6NspkZGRImT+S7du3Y8mSJfjss89uWb6LiopQUlIiPc/KykKXLl3w4IMPStOOHDmCqqoq6Xl2dja6deuGPn36tOh3wN3dvcmfx7sdj9hRm/vqq69gMBgwZcoUaDQa2bznnnsOiYmJ+PXXX3HlyhWMGTMGffv2xcWLF/G3v/0NNTU1CAgIAABERUUhNTUVI0aMwDvvvIMhQ4bA1tYW33//PZYvX47ExMQ/zD26lG7YsGE4f/48VqxYgeeeew5paWnYtWsX7Ozs7sj6+/Xrh6KiIiQnJ+Pxxx9Hampqk/cT+6OwtbXFnDlz8Oqrr6Kurg5DhgxBRUUFDh48iG7duiE0NLRFy3FxccGZM2eQn5+PPn36wNbW9qa3lHnttdcwceJEPPbYYxgxYgS+/PJLfP7559i9e7cst23bNnh5eWHIkCFISkrC4cOHkZiYKMtMnToVM2fOhLW1NZ5++unb2wk3UVRUhAsXLqCoqAi1tbXSPyD69euHbt26ITAwEO7u7tDr9Xjvvfdw4cIFzJkzB+Hh4dLPY0hICBYvXoywsDC8/vrr+PHHHxEbG4u3335bOqI0ffp0rF27FtHR0QgPD0dWVhYSExPx6aefSmOZPXs2nnzySSxfvhwTJkzAv//9b+zevVtWkKOjo6HX6+Hl5QUfHx/84x//QFFREaZPn96m+6W9FRQU4MUXX8S8efPw8MMPS0chLS0tm8x37doVoaGhiI+PR0VFBSIjIzFx4kRotVopU11djSlTpuDNN9/Ezz//jIULF2LmzJno0qVLi34Hpk+fjpUrVyI6OhrTpk1Dbm4uNm7ceCd2R+fWQZ/tIwULDg6WfeD6Rrm5uQKAiI+PF88++6xwdnYWlpaWwsnJSYwaNUp8++23svzVq1dFXFycGDBggOjatavo3r278PPzExs3bhQ1NTVCCF480d5aclWsENc/+Ozs7CxsbGzEiy++KJYuXXrbF080XJ+/v7+YPXu2bFrfvn3FqlWrpOevvfaa6NGjh3Sl3apVq5q8BcONGl7g0ZnU1dWJv/71r8LNzU1YWFiInj17iqCgILF//34hROP9L4QQeXl5AoA4c+aMEOL678+zzz4r7rnnnka3O0lJSWm0zpbc7uT9998XAQEBQq1Wi759+zZ5AculS5eEtbW1iIiIaJN9caPQ0NAmb7uxd+9eKfPzzz+LsWPHCisrK9G9e3cxc+ZM2YVZQgjxn//8RwwdOlSo1Wqh1WrFokWLGl25u2/fPvHoo48KS0tL4eLiItavX99oPNu2bZPeo4ceekhs3769Ueb9998Xffv2FZaWluKxxx6T3sM/kqZun4Nb3O5k3bp1QqfTia5du4pnnnlGXLhwQcrU/56//fbb0u/t1KlTZe/TrX4HhLh+x4V+/foJtVothg4dKj766KO7/uIJlRA8SU1ERLemUqmQkpJyy292KS4uhouLC3JycvDYY4/dmcFRp7Fo0SJ88cUXzX4cIywsDBcvXuTXCLYDnoolIqI2UVNTg9LSUsyfPx+DBw9mqSPqALx4goiI2kT9RSy5ublNfq8qEbU/noolIiIiUggesSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IiIiIoVgsSMiIiJSCBY7IqJOLCws7JY3BCYiqsdiR0RERKQQLHZERERECsFiR0TUhurq6rB8+XL069cParUa9957L5YuXQoAOHr0KJ566ilYWVmhR48eePnll3H58mXptbW1tYiOjsY999yDHj16YO7cuWh4D3khBFasWIH77rsPVlZWGDRoEP71r3/d0W0kos6LxY6IqA0tWLAAy5cvx1tvvYXjx49jy5YtcHJywpUrVzBq1CjY29sjJycH27Ztw+7duzFz5kzptStXrsRHH32ExMREZGZm4sKFC0hJSZEt/80338SGDRuwfv16HDt2DK+++iomT56M/fv33+lNJaJOiF8pRkTURi5duoSePXti7dq1mDp1qmzehx9+iHnz5qG4uBg2NjYAgJ07d2LcuHEoKSmBk5MTdDodZs+ejXnz5gEArl27BldXV3h6euKLL75AZWUlHBwc8M0338DHx0da9tSpU3HlyhVs2bLlzm0sEXVK5h09ACIipThx4gRMJhNGjBjR5LxBgwZJpQ4A/Pz8UFdXh1OnTqFr164oLS2VFTZzc3N4eXlJp2OPHz+Oq1evIiAgQLbs6upqPProo+20VUT0R8JiR0TURqysrG46TwgBlUrV5LybTW+orq4OAJCamorevXvL5qnV6haOkoiUjJ+xIyJqIw888ACsrKywZ8+eRvPc3d2Rn5+PyspKadp3332HLl264MEHH4RGo0GvXr2QnZ0tzb927Rpyc3Nly1Cr1SgqKkK/fv1kD2dn5/bdOCL6Q+AROyKiNtK1a1fMmzcPc+fOhaWlJfz8/HD+/HkcO3YML7zwAhYuXIjQ0FAsWrQI58+fx6xZs6DX6+Hk5AQAmD17NpYtW4YHHngA/fv3R0JCAi5evCgt39bWFnPmzMGrr76Kuro6DBkyBBUVFTh48CC6deuG0NDQDtpyIuosWOyIiNrQW2+9BXNzc7z99tsoKSlBr169MH36dFhbW+Prr7/G7Nmz8fjjj8Pa2hrPPvssEhISpNfGxMSgtLQUYWFh6NKlC1566SU8/fTTMBqNUuadd96Bo6Mj4uLi8NNPP+Gee+7BY489htdff70jNpeIOhleFUtERESkEPyMHREREZFCsNgRERERKQSLHREREZFCsNgRERERKQSLHREREZFCsNgRERERKQSLHREREZFCsNgRERERKQSLHREREZFCsNgRERERKQSLHREREZFCsNgRERERKcT/A4WVEFfTGDcNAAAAAElFTkSuQmCC", + "text/plain": [ + "
" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "input = Alice_data\n", + "len(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2]\n", + "\n", + "x = ['ASCII', 'Huffman', 'entropy * 100000', 'zipped']\n", + "coding = [len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), 33341*8]\n", + "\n", + "x_pos = [i for i, _ in enumerate(x)]\n", + "\n", + "plt.close()\n", + "plt.gcf().subplots_adjust() \n", + "\n", + "plt.bar(x_pos, coding)\n", + "plt.xticks(x_pos, x)\n", + "plt.xlabel(\"code\")\n", + "plt.ylabel(\"# bits\")\n", + "plt.title(\"size of Alice in Wonderland\")\n", + "plt.tight_layout()\n", + "plt.savefig(\"Alice_numbers\", transparent=True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "letter_samples = \"\".join(np.random.choice(letters, size=100000, p=letter_dist))\ninput = letter_samples\nprint(len(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2])\n\nwith open(\"letter_samples.txt\", 'w') as f:\n f.write(letter_samples)", - "metadata": { - "trusted": true - }, - "execution_count": 37, - "outputs": [ - { - "name": "stdout", - "text": "100000 800000 406916 403312.1801006521 4.033121801006521\n", - "output_type": "stream" - } - ] - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "100000 800000 408005 404368.3819694357 4.043683819694357\n" + ] + } + ], + "source": [ + "letter_samples = \"\".join(np.random.choice(letters, size=100000, p=letter_dist))\n", + "input = letter_samples\n", + "print(len(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2])\n", + "\n", + "with open(\"letter_samples.txt\", 'w') as f:\n", + " f.write(letter_samples)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "input = letter_samples\nlen(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2]\n\nx = ['ASCII', 'Huffman', 'entropy * 100000', 'zipped']\ncoding = [len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), 58471*8]\n\nx_pos = [i for i, _ in enumerate(x)]\n\nplt.close()\nplt.gcf().subplots_adjust() \n\nplt.bar(x_pos, coding)\nplt.xticks(x_pos, x)\nplt.xlabel(\"code\")\nplt.ylabel(\"# bits\")\nplt.title(\"independent letter samples\")\nplt.tight_layout()\nplt.savefig(\"letter_samples_numbers\", transparent=True)\n\nplt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 38, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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", + "text/plain": [ + "
" ] - }, - { - "cell_type": "markdown", - "source": "# Counting bigrams", - "metadata": {} - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "input = letter_samples\n", + "len(input), len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), huffman(input)[2]\n", + "\n", + "x = ['ASCII', 'Huffman', 'entropy * 100000', 'zipped']\n", + "coding = [len(input) * 8, len(huffman(input)[1]), huffman(input)[2] * len(input), 58471*8]\n", + "\n", + "x_pos = [i for i, _ in enumerate(x)]\n", + "\n", + "plt.close()\n", + "plt.gcf().subplots_adjust() \n", + "\n", + "plt.bar(x_pos, coding)\n", + "plt.xticks(x_pos, x)\n", + "plt.xlabel(\"code\")\n", + "plt.ylabel(\"# bits\")\n", + "plt.title(\"independent letter samples\")\n", + "plt.tight_layout()\n", + "plt.savefig(\"letter_samples_numbers\", transparent=True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Counting bigrams" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "# from https://www.codespeedy.com/compute-bigrams-frequency-in-a-string-in-python/\nbigram_count = Counter(Alice_data[i:i+2] for i in range(len(Alice_data)-1))\ntotal_count = sum(bigram_count.values())\n\nbigrams, bigram_freq = zip(*bigram_count.most_common())\nbigram_dist = [x / total_count for x in bigram_freq]\n\nbigram_labels = tuple(bigram.replace(' ', '_') for bigram in bigrams) # to increase readability\nplt.pie(bigram_freq, labels=bigram_labels, startangle=90)\nplt.title(\"bigram frequencies\")\nplt.savefig(\"bigramfreq\", transparent=True)\nplt.show()", - "metadata": { - "trusted": true - }, - "execution_count": 52, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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N5j8/qRcEgauuugpBEFiwYAEtLS14PB4mTJjA3LlzE+2KioqSy01JDonk8lGSI0I4HCYtLY358+czYcKExPErrriCSCTCSy+9dETsEgThiIz7bXA4HITDYaxWK7FYjJycHJqbm5k5cyaxWIxQKMR77713pM1M8h3B+NVNkiTpe7Zs2UIsFuOkk07a77gkSUftL/ajlXA4DEAsFgOgubkZgDVr1jB//vwjZleS7yZJUUhyRNjnkfP++++Tm5u732sWi+VImPS9o7q6moyMjAOOr1y5khEjRmAymQDo6enB6/UeZuuSHK0kRSHJEWHQoEFYLBbq6+uZNGnSkTbnB8XYsWMxm80A3HPPPXg8HiRJShz7PAsXLmTKlClJ4fgBkdxoTnJEcLlc3HjjjVx//fU899xz7Nq1i3Xr1vHoo4/y3HPPHWnzvpdYLBZEce+fvCRJAPzud79DFEXsdjtPPvlkoq3RaGT69OlHxM4kR5akKCQ5Ytxxxx3ceuut/PnPf2bgwIGccsopvPvuuxQXFx8xmzweD1VVVYkN5303zK+D3W7HbDbz85//HNjr+bPvJnw0EI/HE8t2X0RVVa688krWrVvHlVdeiaZpzJo1i5qaGmDvMl+SHwh6kiSfMWnSJP3aa6890mYcUVwul24ymXTgGz1MJpNeXl6uA/qrr76qDxkyRM/IyNAXL16sp6Wl6YAuCEKizdHysFgsOqCPHz9+v+NDhgzRAf2FF1440h9NksPE0fMzJkmSI8yyZcsIBoPIsvyN+5Blmbq6OgD+93//F7fbjdVq5bjjjqOzsxNBEHA4HOzatQuXy0VRURE5OTlce+21TJo0idzcXLKzs7/27KSviMfjACxfvjxxzGazUV1dfUDburo6BEFg/fr1h8u8JIeRZJxCEgAuu+yyA9bya2trKSoqOuy2XH311bzwwgsHfW3GjBk8/vjj/TJuLBZj6dKlX/q6qqps2LABgO7u7v2WYlJSUjjvvPOAvekyXC5X4rWioiJ6enq45ZZbSEtL4/LLL6eqqop33nmHn/zkJ9TU1HDeeecxc+ZMtm3bxtixY7nwwgtZvXo1brebAQMGsGrVKo7En6ogCOi6jtFo5Nhjj+Wyyy7jsssuA+CVV17hggsuOOw2JelfkqKQBIDe3l5OO+00hgwZwu233w7sTcBmMBgOuy3t7e0EAoGDvuZ2uw/qZvldZfLkyfuJwuWXX87WrVuJx+Pk5+dz77338vLLL7Nw4cJEu/Xr19Pb25u4YR8ObDYb0WgUURQTYigIAlVVVbz++uuUlpYeFjuS9D9JUUiSYPLkyVRVVSXTIhxB1q9fz/jx47FYLKiqitlsZtSoUTzwwAMMHToUgOuvv56HHnooEWcgy3JCIA6nUABYrVZEUSQSiVBQUICqqpxyyik8/fTTR2Rmk+TbkxSFJAmSovDdQRAE3nrrLQoLC9m2bRtvvPEGXV1d2Gw2Pvroo8NyQ3a5XASDwf2O/eQnP2HatGlceOGFSVH4jpIMXkuS5DvIvhvuunXruO+++9i+fTtms5menh5SUlISKS+MRiMGg6FfCvSEQqEDjr388su8/PLLwN7At8mTJ/f5uEn6l6T3UZIEZrMZVVWPtBlJDoHU1FS2b98O7A1IczgcibTbkiQxatQodu/ejaqq3HbbbX0aN/HFmcC+/YZ9ew5TpkxJeih9B0kuHyVJcOWVV7J+/Xpee+01nE4nPp/vqAq++rrEFZXeqEwgKtP7+UdExh+VCUQVYoqKpumomo6mg08PMdHThclux6DGwWgBwQ5OCSFmIN1oo9elk4EH0SChp2WSghWL23FEr5GiKAkXWIBJkyYRCARISUnhhBNO4KmnntqvEtz48eNZsWIFsNcras+ePV9rmefr7lWYTCYyMzNpbGzEarUybdo0Pv74Y1599VWuu+46tm3bxogRI3j//ffJzs4+9DecpN9JikKSBDt27GDmzJls2LCBaDR6xFxSv4qOYJy6rjB7uiI09kRo6onS2BOlyR+lPRgjJh88ave/MdQZYWZ+O4I1BbPSg2R2IQt2RGsvgl8jR7WyOaOTyq48ooE11A8Zz+DVEWpz19NdfDzH1ziIiTvxFw+ixCvjkoowp6h4MvIwmq39cBW+GV/cN3rwwQf5zW9+g67rB412/ry30dfFYrEQj8fx+XzAXvfdL3LeeecligQlObpI7ikkSVBRUcGyZcuOtBkJAjGZTY29bGrqZUtzgNrOMHWdYYJxpV/G0wFRAEEEXRBB0DFrIoooocYNGEUBLW4iZjLgREWWI0TNZgxqCLlHJBzdxDprJg7/Dhq3tCPL89hSchLDsxrIbBqJbPHjKEtBzB9IgT0l4T10JLn++uu5/vrrqaqqYsOGDQdsHn9REL6OSOwLhPu8GJjNZm644Qaampp4/vnn+eSTT4Bkwr2jkaQoJDkqCMUVNjX2Ut3Uy8amXjY1+tnTHeFwzmMFAXQdVFFE0EEUFQTdDGIQXRUx6UaMikDUacapxIkLcczYsCsxJM0KlhidRg9EU4hKQXSvRr0pnVGhOtpb2oiFlmHsTWFtvIVjNrqQY1HM+U1Y848lsyiLHGdWv8eFLFy48KDHvV4v1157LevXr6eqqoqdO3cye/bsAwRA07RvNHuQJIm//OUviecdHR10dHQwderUQ34PSfqXpCgcZo6k22d9fT2DBg360te3bNlCQUHBYbGlpTfK0poulu3qYl1DD7Wd4cMqAAegf1Z1TRBQBQFBVzHqAgomNEFB1XWMugGDqhKyWsiQokgGAZNuw6vEkaUwEZ+IYNFQgk6MWogel4hiNaCH0gjFQwi2MA3mKnLkDmySi1iXwk73OnYEKxgVnU3R1rEE9BjezG6KBw3Fmjccm+nwBg/uE40dO3awePHiA1xO4cDZwzdB13VeffVVUlJS6Ozs/Nb9Jek7kqLwAyInJ+e/eoPk5OT03+CxAHLdp9y2NZdlu7rY3Rnuv7G+ATqgamBERwcM6JhQCek2dBFEVATdgknRiFtM2GSJqACCbsMjxQhLOgGHBbslihCzYVIjRGwWXPYQSqsHo9ZLyKey2VjAadH5GKVCLHIco11nj5jB1EgP9ohGR6/E2vhC2trq+Hi4n3O7usgzFeMpyCOlJPOwlQutqKhIRJXHYjG8Xm9iWQggIyOD9vb2Q+rzi5vVf/jDH5g4cSIffvjhfu2+rLZDksNDUhR+QBiNRsrKyg7fgB07YNt7UDMXGlZg0hR2Wh9nt999+Gz42ggIugCo6KIIKph0FU03opkNGHWVqGhF1RUsggk9ZkIU40QNToS4AVHTiBst2M0SJlkgajDgUOw4LDEsihFBMdDqgZDViSXmJqxF0YQmMuNOvFkxlEAOQakbe0QlUKnQFB5CGdsIN2ZT3fYp6e/H2DBlB6rtGo4fYqTMXYHV2ncb2F+2rAQkaj9rmkZpaSkNDQ0HFYR9taK/jC/6tAQCgYQg/PWvf6WpqYm33nqLc845J1lT4wjy3fM3/B6gaRq//e1v8fl8ZGVlcdtttyVe6+3t5corryQjIwO3280JJ5yQSML2naB9Kyz4Mzw6Hh4dA/P+BHuWgrZ3c/ii1JojbOCXIwgCAjqCJmJAR9QkBA0U0YiOTBwbcSGGFRE1bsMkRAiabKgxG7pRxKracQpRzJoBRQxgU1349AAWWQc0nLoTjzOMFsymOxYiotdjjblIcXah+nPoknoxKXWU6CpbbEWUxneRrjqJ6w5kfSdDe8Ms8As07H6a1S8uZMHTL9I0dyXdsQO9e/oDURQpLCwkKyuLX/3qVwlR2rcP8kVB+OKs5osb65935X3wwQfZtm0bRqOR//znP1itVn7zm9/0x9tI8hUkReEI8Nxzz+FwOFixYgX33nsvt99+O3PmzEHXdc444wxaW1v54IMPWLNmDSNHjuTEE088qFvfUUPbZph/F/x9LPxjPCz6C3RsPWjTCfrRKXA6oAkCCKAjIKAhqhpGZDAZ0PQYMlaixLAIIqpkxyj00muwIUcsKAaw6ja8UgBREdGEDuKij/R4NwZFRDV04IzZcdt6EcIe0A1E0hRqjKUU0Ixb9hBVDUSEOvKjdmypGkLQii2mYtN97MiXscXSsaYpCL1WMmI2ulol2l59ilc++iXPvfk277U2oygH7gH0Needdx4PP/ww7777Lna7/UsDHr8oAl9MSf75mUM0GmXlypXcfffdrFu3DovFwmOPPXZ0f++/pyRF4QgwbNgw/vjHP1JeXs6ll17K6NGjmTdvHgsWLGDTpk28/vrrjB49mvLycu677z68Xi9vvPHGkTZ7f0LtsPSRvTOCx46BT+6Fzu1feVpm10pM4tEYGiMAOqKgIQgGREFHRERExaybkFEwiwKqHkMWrIiqCZEgstGEQTWhCWFkwUuaEiaiSZjETmpNWaRJUUJqHFlvQNbTydS7cSoGbIqFcKrMGnM5+dEGXLIBq+ChKUelU84j1d2J1FNId7wVVyRIR57KIr2KImcDoc4iQvF2TFomu/NjTOnq4J2eNJY3L+eddx+k8c2N1K7fiKZ++w3h/8bUqVMJh8Ns376dwsLCA17/ogh8PogODlxOslgsXH311UydOhWTyYTNZjv6vvc/AJJ7CkeAYcOG7fc8Ozub9vZ21qxZQygUIjU1db/Xo9Eou3btOpwmHhxNhR0fwdp/Q82cxJLQoSDEe/lRZiuvtBx90ayqriNooIsGBE1FVQwYzSqqbkIRwCwoGEQICjaMqkDEpGMxKpg0IybBT5sxh7x4hIgURHFItJh8GCI+gvEgmiPKdnMB5bGdmOPpGJU4JquRqNWBKWJGj4exx3R6y1Tq40OpoAZ7pIgOqZbseBsDdJnX7IM5R/mAlNhoGsPbSQ37eHtIjCHxIpQsJ6Olp+ltn0BYamXjlhYCT/2HTZdlclHRqRjSSvrkGh1s76GiooK6ujrmzp3L2WefTTQaBfYmzPt8CnSLxYKifPl3RlEURFGkubkZRVEQBOHo+N7/wEiKwhHgi9NqQRASOWOys7MP+od3RAN7eptg7XOw9nkINn/r7s5ybucVjjZR0BEQEXUVdBFN11B1EyZNRlYNaBiwCAomUSckODCrGu12M1aTjFGxYKaTLpMHPRpBkaOE3CYMNg21zYuohgmnqOww5TEmvo2oJqEJzaTFnXgzA6hNuXTJfqxyFzmCxqfWIsbFPiVNGUBASKXDvpbSiB1yTKSFAmRJLjYbPNh6VlPsMPB6YCyqT8UnmUkTctnWuhzVMBEl9iFdTTt5a52fxYN/zK9Lm8lNO7bfYiH2zRxisRhlZWW0tLQkPI4MBgM+n++/bkTvEwxd17HZbFx66aUsXLgQi8WS+BuRZZny8nJ27tzJunXrqKqq6pf38kMmuXx0FDFy5EhaW1sTXkKff6SlpR1+g5rXwRuXw8PDYNE9fSIIAEPja/ukn75EBHQBRB00xL3CgAGzKqEIRlRRxKLFQRTQRQNIcYIWM3YkdEVGsciETSbksB2TZiBgs+C0RRBiNsyqkZDLhNWpogez6I4HiQn1CFIK6dZ2TKEMeqQYMWrIi9lxpCroAQ9CJIJdsVNXDDvUCtJTugh0FqDGA5j0bPZkh5nS08M62xDGW7bQ1JhLbthN1CSSozQxd6jO2S21PB0YxTZDiIZdf+ftF/9D68ItRL6kiFFfYLVaaWxs5LjjjuO4447D6XRiNBqJRqNYLJYvPW/fjyVd14lGo/zrX//C4XBgtVo55phjcDgcAOzcuROAPXv29Nt7+CGTFIWjiKlTpzJhwgTOOeccPvroI+rq6vj000+5+eabWb169eExQtdh+2x45gz452SofuMbLRP9N5yd68mySH3a57dnb+CagI4ugKCJqLqIWVWI6yY0oxGrLKGhYhd1ZDVKzGbBq0rIaoSQ04LDGkeQzGAwYFMduExRzLKOLuq4VAduZy9aMB1N1Yimqmw1l1OoNONRLVgED+1pEr1yLhnuDuSeIjrkDlzhRoxeiQWmUQxlI+ZQEY3hWnzhblaVxlH1EqQsG6OkjxEiRfTSBuIAUrZ/yK4ClbhpMI6idE4xLqe1dSAl/lSWz36dt+5bTMP9f6PWX9tvV3ThwoVMnz4dn89HaWkpnZ2dxOPxA2IQTCYTJpPpgD0IRVFQVZVIJEJtbS1u915X5vPPPx+Aiy++eL9zFi5ciCAI/ZIm/IdEUhSOIgRB4IMPPuD444/nZz/7GRUVFVx44YXU1dWRmZnZv4PLMVj9DDw6Fl6+APYs6behBE3hkqyj71eejoaGDgJoAgiCBjoomJBFBZusogoyNoNGVItgxI5PiSPHQ/TazdjMEhZFQDbEsetOUqUezKoRWWzHEXfiMwWxKUZsipmQT2KDuZj0SDvmqIxdMtKTo7LSNIRyfRfuWBo9koSibmNozEiHN42SyB5yZTchzDh61lDgEng9PhZrqoQl4qNMzmJb6wpspNBUaWZ6XOax0HE0phkZEZ1Fe3MmaYqdkBDBabTRvnUp//jk/2h67242NPf2yzW97rrr2LNnD8uWLSM9PR1BEA7YVxg/fvyXxlx88sknaJpGXV1dwhNp8+bNwN6gugceeABBENi9ezfHHHMMLS0teDyefnkvPxSSewqHmYPtF8yaNSvxf5fLxSOPPMIjjzxyeAySY7D6aVj6EITaDs+YwFTzZv5K+WEb76vRQRMQNB2DwGelLXUUxYQJAc2gYFF0IqKEQ5eJizJGbLjiUSKaiCbasAsxTKoLXegkJGSRJfmJKRnoehM9xoFkSe1Y4w7iqorFYsXsBkLZBNUAFrmbVJPGYlMRE8LLSJEGERDT2JMdoTSagbc4TLg1i6yYhIkcGjOWM7mnl1tcg5lgWEtDfTaTJAu1rjyym1fwzFg/d/WE+KerkgmuZpTuoQyxlFAbrMZoHUV+zQe8PD7GT1vbeSQ6lfXGOq7u3cCElHFkZVX26ZVdt24d27Zto7i4GNh7Mw8Gg4iiyKBBg1i8ePFBzzMYDKiqmkirsS+iel+qcKfTyTvvvMOECRMoKdm7kZ6VldWntv8QSc4UfqBIqkR09b/g4eHw0e8PqyAAlARWHtbxvgpd1xEAdAFB0NibBklF0w2YBRVNjKPJZmSDjkOOoYo6RswQt6AZRSy6A58cRNPALLTTYM7AGTMSkoLozghbjQVkxfwoqopqaMYXc5Li7kbryaEzHkDSd5IXc+JOlVCCaUjxXhwxjY58lcXiSCpMO9B7SmiJ1uGNhVldKhHXSollmBkuLcWrltAU24mqlGIJbqAoxcl8wwmEc+0cF3uBndvSKez2UNO2DpRMzLEa/LlGclUna4VyYl5I7XyKF56fRctzG2necfA4k2/Kfffdx+bNm1EUhaFDh2K329E0jerqamB/d9V9QW9fjH/Y93zfTCMQCLBs2TJGjBgBJJeP+oqkKPzA0HSNWTWzOPOtM/lX4zwItR4RO0y9dYzz9t9m5zdH2BujoIOiq2iagFlT0MwCetxE2GbGIUUwihAz2VCiFhSDgAkH6XKEqBxGt0bpMLvQwj50OU7Yq9FuTcEY9uGPh5DYg6RmkiN24JSdCNjp8oYIS1lkuFrRuotol7owSzWUCCrrHBUMkraSraTSrcg4e9aS4xZ4XRpLSmoENZhFSSSNPf4a0pBYNszI9PZG/h0Zg8snka5ZKLCV0WNpx5k+huLAaj46xspP/b38Uzsbc7mH84zzCQWPYbhvIIHeNhY89wILnlpLbNu2b31FR4wYkXC37u7uZunSpYwZM4aRI0dis9mAvTf8fV5RX1bi5Yszhn089dRTeL1eTjnlFICkG+u3JCkKPyDm18/nR+/8iFuW3kJLuIUXwrvw231HzJ6L0o6elBf6Z38KOgIGVUfTdVRBQ9fBoigoFgHiIlGbCYusYhJVeg1W1KgdUYzSK3pxxUVi8V563Was9jhKyIlJMxB22vC4wqiBTCQlTjxVZYOlgvxYA8442GQr/myVlZahlGt1pMheoqoJv3E3BWEX9nQNemy4YmAS82jxdXC8P8AO9wDGs4zWhlxsgMlZQdrOj1hXHAOxHHNhOlOFOezeXUhFdxrrd88hFirCVTOXlQVhRgQivB8fTI8HhkVnsXWLj4qmFJZueR1NGId9w1zmv/AXXlp2D/gb+vyajxs3jmnTpmG324H/PxPYt6H8VQiCgMvlQpIkIpFIIm3G9OnTD9i0TvL1SYrCD4C1bWuZ8cEMrl1wLTX+/38jDisRnq6ccMTsGq8dPSkvhM/+0XQDoq6jo6OhowpgU+JIJiMGFVSLiBr/LMWFaMeomzEL3fSYXGhRF6Ki0euw4TDHscgimqjjlFx47EFMcSs2xUzAp7DLmo0rArIcwSr1YrNrbLEWkhNqxhUDu+ahsQi2agPIdTUS7yqhPVqPOyaztkwmqpUTyTAzWNpIDsXUdK9FUPIIZIY5VYPHQ8fTliYyOL4cQ6wI0apiz6ykUKhn9bFpXCaJvGSejqcihR9blhAJT2B4ykAi3jC2jBxMghfPune4r3wHE9e8wgtvvM5jq/cQUvquhrfZbObVV18lHA5TVVXF6NGjEUWRUCh00Gyw+1xS96HreiI47vLLL+fee+8FoKGhgdLS0sPnsfc9IykK32O6ol38YckfmDl7Jhs6Dn4DfiW4k05XP3s2fQlHU8oLAUD8bKag6+iihiCIqAYdoyxhFIwIuopVNKBKdjQiGI1gUoyYtC56TA7ksB0MBiyaHY8YwqKYUAwd2BQX6VoP1riOoKvYjE68nghabx6dUgBF30VezEVKWgwtmENQ6sER7YaUOIssIxmqbCY9nkWHHMLlX0emS+d1aSw5Pj+h7jwKw178Wozs8G7eHxDm2J4Add5KJjt2EegZwiAplw0N84iGK0ld+wazSjqZ3NbAv3uraPXBiMhrbNvio7zZy9Lq15Hl0ZS1zGHdqSWckFJEmuDm3qbBPBLo4e2Nf6GubuHXqtd8KBiNRtrb27FarWiahiAIWK3WxCwCIBKJfOn5zz77LDfeeCOwN8La4XBw6aWXsmnTJkRRTC4pHQJJUfgeoukar2x7hWmzpvHOrnf+a9uoGuOpsjGHybL92Zfy4mhAQ0DX9204C+iqAKKAioKmGTDqRnRdxaIbQLIgizIWg4JB0YnbBEwWFSFuRDbqWHUPmfFeZFVDpJkGcwHZ0Q5ETUARW/BEnfgcXYihdGKqTq+zA1nKIMPRgt5dQHvcj6ZuY0DcSsTnICUQJFUyYRBy6PC0cmwgym5vBeO0xfhbC5H1AIKxElfjIhxZFj4RJxHMsTI+9iJN9VmkKTZkm5Ucc5TaMT5+bHDxof1cUgekcZ51FbHweIZ5BhL2BHHllOCwuHDWfcrjRTX8z46V3K3MoGJYBqM9UfLD7/LKK4vY9soKIo3fPFndwoUL9ys0ZbfbmT59OqFQiNLSUkRRJBaL7ScEXxSicePGJWYUsVgsERi3Y8cOUlNT2bp1K1VVVZjNZtauPfoCJo9WkqJwCEyePJnrrrvuSJvxX9ncuZmL37+Yu1bcRVD6ehkzXw9so9Wb28+WHZyznF+dRO/woO/1OBJ1UAQEEUBEERUUVcSim4kLcUTNjEnVCVvNOAwKmhLB7/gsRkEzgdhNwJBKZjxKRAqgOyLsNOXiiRnxS2FUoR6/mEue2oZbNmDT7PizdVZZhlKu1JGiOBBx0ZLajRbNJD21k2h3CT3RZlxxgXVlMiGljFi6gYp4HYV6Hts71uDQXWweZOCczg5ejI0j2xfGLuUwwFTCzuBaVH0YmWtf4d+VrUxr2MYjXWNo9ImMCr/Ati1plLf4+LT6daLREZTs+A8LTs3iIkchsruKhfFS1qeInBv7C73+EylMLcW9U+PFP93A8rdWIMX6LrhREARqamqYOHEiubm55ObmUlFRQUZGxgHpYUKh0H5C8XlvpaVLlyb6kySJ888/nw8//JBVq1YxevRonE4np556Kh0dHX1m+/eFpCh8T4jIEe5ZeQ8Xf3Axm7s2H9K5kibxRElV/xj2FQyLrzki434RAX3ff/aWBRVEBEHfm/dCEVEFG6oeI2qwY5Y1gg4rKZqMFA/Ra7NiF2MYVSNm2mk1pWKIeFBiEXpTRFSHAT2YQTQeQkqVWWeuICfSijEmY43FEV0KW2yFZIQ7sURl7DETnfkan5hHM4RtuEJ5tMS7cQU3kerW+I86jpKUDjrb88mNOlGtPrKaP2VxeQSbXggF6UxR36VmRy5Ffi9NoTo8RjvdZSamOFNZ4Z5GWmUG0+3rkKNjGeoZQMDVjTtvICkOK5bwLt7Ia+SSHUv5dc+5+Iakcp67ngxBZ9MmO6M78miw7sKemcemRTF2z/gpWzcv+lbX/4szh4ULFyYKQjU3N2MymTjppJP2O2f79u375XE6WJlQVVXx+XyYzWbOOusszj33XB5++GEWL17Mrl27uPXWW7+V3d9HkqLwNbnssstYtGgRDz/88N5iLIKQCKI50nza/CnnvnMuL2x9AU3/ZumSZ/VupSH1wPTH/Y2jcwPZ1iOf8kJEA33vQ9cFdAEQZARRxIhKXLCh6zHCgh1BkYjaLHjlOHE9gmhwkKpEkZU4giWI32JDCrgxIhKzOfA4AmghNzbFSK9Px+9wYQyl4VdDaMIecuNufKlhNH8hftmPRWkg1wDbXEUUhBvIkGwIQiadtj1MDEjUeUsZqyxA7immS2pAV0tRqeF4g8A/I8cTTIMKpZ4sYxldhmbMztHkbn+H54Z0ccGezfyl4xjq00TGRZ5j2+Z0ylt8LNv8JqHAMIrWPc+bJ9q52pBOXdoZdLsKqPcITA7czs4doxiTORSb1cLK6reR4hMZZN6GbApzybpf0/r+9cihvqt/sE8YTjnlFAKBAB9//PF+r998882kpaWRnb03uWIsFjugjwkTJrBgwQI8Hg+KojB27FgmTpzIiBEjuPzyy1mwYEGf2ft9ISkKX5OHH36YCRMm8POf/5yWlhZaWlrIz88/ojb1xnu5ecnNXDXnKppCTd+qL0VTeLxwcB9Z9vURNIVLMo98ygtd35v7aO9UQdg7S0BHF0WMqkpcM2MwaMiClagexYgdVzyMYhSw6A7S5TBxKUCPy4rDGscQN6EYBOxxJ15jCJu0t3ub4Mbn8aP5c/HHwgRN9ahSOpn2Fgy9OXTFIgTFHWSFPfjSQ0jduURjXTjjFjaVKfiVMqRMgfx4DyVKNrX+7aSrQeYPUZnUHaTWO5ATbBtoaiynsied6sYlGNQsVHsHFakp7HKegLcsmzMdW1AioxjqGojf2YmnYBhZbgHBHmBVbohzdq/lf5tOIlTu5jLrYhyGKgJ+L5V1KaxoeY/syqk47HZ8cx7nryeE+LmjHN/OhUx9ZAUfNPStMNxxxx0Yjcb9AtwqKytZv349HR0dtLS0fOn5oigydOhQxo8fD5DIuLp+/XoyMzMPuc70D4GkKHxNPB4PZrMZu91OVlYWWVlZ/ZaC+OvwSeMnnPP2Oby96+0+6/N9/1Zq00v7rL+vy4nmQ1vu6g80RED8LOeRgK4paKKAJiho6BgEDU0wYBN0wnoYCyaEmAlV0BFw4IqBEg/T47DiMO2ty6yIHRhIJSveiUkxIoktuGNu0s09OCQbVuwEcmG1ZShlch1e2YJNcNOWr7JVGESpZRcmfxHNsTZcoc2kpGi8pY9ngKuJtuYCfJIJwVaMr24eoXyBZcKx9OZYGBN7F8lfBGYJW+oQCjo+5dWRMWY0bOP2rknUZRg5JvI027ZkUNaewoqtswj5B5O37CmePk7iuqjAotSLSC3Kw+7WGBF8ilWr8phoGkw0PYZf6qartZzKjc+yY9owIqlmflo9jz8J15Ca4+NXtQ0s33o38Xjf5FMaOHAgw4YN46qrruIPf/gDALW1tXR2dlJaWrqfWHyxkM++H247duwA4M033wT27g9u2LDhoEtOP3SSovAdQ1Zl7ll5D7+Y9ws6o5192reqq/wjv6JP+/w6HA0pL/TP/hH0z3IgGUAVjSCqKIKKFQlVELGJKopBxiCYUKI2TAYJv8mFEnGiGwxYBTc+LYigiphoYpc5n5x4mKAcAaGBRlMRebEmbDEdaxwUr8o2ez5pwRBiNIotKiGnxllsG86A6A4yZReqkILfXMP4gExDSiFj5QWYQ2XUB7diVHOoL4xzjr+XV+TxlKV0oYZKGCjnsaFhPnK0BGv3asRcG0HbaKyF+Zzm3IEeHc4Q5wC6bW14C0aR54oj5RvxZ5k4rr2BmxqPYWeumRk8Q1w6iUxnMVk9Dhasfw6b9yQqfD2YlVbuKqvmT5097Mg5j49DxVQXWLnasRK1+xMef/wp/Lv6ZiN3357DHXfcwaRJk5AkiWXLllFbW/ul5UBhrwgcd9xxbN++16FhXzR0VVVVItjN6/Xy7LPP9omd3weSovAdYk9gDz/54Ce8sPUFdPrHv/+jni3syBzQL31/GUdDyot9oVLaZ3mPdEFAMxpA1IlpCiZBRxFVHEgYRQibrKhxB2ahhy6TAyVsRzEKmDUXOVKIqBREc0ZpMqciBtMIx3qRUiU2WkpIj8SJqjF0oYksyU2qL4jmL6ZD9qPrOymTXJjSBES/E6IhHJKD6jKNLrkCLRNSIirF8VTapW6y/NuYPyCCV8lGzktjivwGDbV5pCoWdFc6hfJuPh5n5qet9dzefSL1WSaOjTzJti1ZlLX7WLX9PYI9A8j55An+NqabX3d28JxjJsVDshntDVGsbGbtGg9jugqpM27FWzho73LXe3/lqdPMXOippCIc4pK6U0gbmUGVO86o4INs2TKBfGcu4ed2sPL111H/S8W1Q/qcBIFZs2ZhNpsRRRFRFBOpMg6GJEksWXJgxl+bzcY777xDb28vwWCQbX2QzuP7QlIUDgGz2fxff5X0J+/uepfz3z2frd19m6jsi+jo/D2nqF/HOBgXpR7ZlBc6wt5Zgi6ApqCIAkZNAKMZxaBjUxVkg4o9HsMoaPSILkyaCfCjmEwYZBOCIUjQmIonKhCPBehJMWNzxlACKVhVAz0+I6KTvUFrsV6i4m6EWBrZ9lbMwUyiCnS7WpBiOeS4mtC6ymiKt+AK7sDtU5ilj2eIfRftTYVYFAXRWIE5tJoqm8i/opPQMjWyJYUyQyk7/KuRpYF4d3zIriIVu1iMklvCCa46hNgQhjgG0GltxlswliKHn55hKaRlplAcN/DP7hFUpxs4O3o3TY3HMjJjMDabifU75xL0j2ZQ+2zap1SyPSPGNdULuMtwDSXl2dQ5YUb0ZmTpDKJhL6Pqcmhw7WbDoo94+6FVhNt6+uSz8nq9vP/++5SVlSHLMtFoNCEMn3dRNRgMnHzyyQdNm7FkyRJOPfVUXC4Xoihyzz338I9//KNP7PuukxSFQ6CoqIgVK1ZQV1dHZ2fnYVmP1OJxGm+/jZfnP0RE+fKIzr5kgX8Lm3OHHpax9jFeP9IpL3Q0fW+cgoaGLggYFQHJICKLJqyygmKUsUtRDGIcSbRgVgSiNgM2YxyzasIstNNm9qIE3YgISCYnblsEi2RAF8ChuUhx9yCEUjFoRoJZKmusQyiN7sEtCThkG935Kgusoxms7CBDTiGm2QiYtjMuoNOUmscYaQkp8RJqejbgUm0sH6gypTvMLt8gphg/pXZ3IUUBL11qL9limNXjHFzW28PdgVNpzDYxKfpPtm/NprTTx5qa2YR6Kshc9E8eHNbEdfXb+LPyE7KHpvEj1y5SBR8tTV4G1Kfyaf0s0ktOIScFHLWfcuvgbdwWlKnLmsaHoTI25pn5X9tcUg0uVqxwMUUfipYOy9f/B5t3GmI4RsNZp7Fm+8I++bSmTp3Kli1bOP744xFFEVVVOf300xM/2i644AKcTicLFiwgFAoB++83uFwuqqurGTt2bCLr6i9/+UtOO+20RGW3HypJUTgEbrzxRgwGA4MGDSI9PZ36+vp+HU9qaKDuwosIvvQqN79vw6ofvvIXf8s4vDWUM7tWHOGUF/s8jkQUNARA0I0YBBHVIGKVZCSLAYNsQiWGzShjkGT8dgt2k4RBEcDQS8RsRg7bUIwCTsVNmtaDRTEiG1qxySlk6504JbBJBmI+hZ32PFJCCooUxax2kWo20OJJx9sbwRKRcCgetpaqtMtlmDIVzAELBVEvEYOFtJalNBTrrGUcgWwTI+JL8SjltGt1IA4no/o/LCoPURx305lWwURPE6ZYJYNtA2g37cGbdwyl5iYaJmYzJjUbk6WclUIlDSkwKXgPG9ZXMNE6mEhqiLhRJdBZSOHc+3nrnHROTi2jqqeDS/acTsqIdCZ6wgwJP8/aNcMYn1OFL2rjo/VPkjvoDBQphbI5d1E/pZKrVt1I+yf3gNp3AW+ZmZkYDAbmzp2bOLZnzx4CgQCyLCd+vH2+UFV7ezvbtm1j3rx5AGRnZydqQJ9++uk/6IR6SVE4BCoqKli2bBmRSARd1ykqKuq3sYILFlD7o/OIb927XCRs28X9Gw/fr/el/m2syx9x2MYT4gHOy/xy18L+RkRn38Kgjo5RF1FEMGoGBKOOEBeRbCKqZEcW4zhEDUkKErTbSVNixKUQfpcVpzWGVbGgiZ1ExUzyY34ichxRbKDGXEp+pAVRUtGFLtIUD6m+AFpPMW2xHiL6VtJCKWT6OpC7ymmLt+EO1+LwybxrmMBw6xZ6WkuIy52IlBJwN3NmOMSr6jEM9TTh7yijMpjBzs4NeEUbuwebuVBSeCh2Bq15Vk6I/ZNtW7Ip7fKxvnY+kUApacue428D6rmyZg03dE9HG+DlMst8DNoE3KYCcnqcLFz3AhgnM8iwmcjgVOZndXL9lsX8xfy/FJbn0OyCH4d+TyBwOnZjDgN2p7A+shBXdgGdTWUMa30bPc/N7was5/fmQtI+fYzbX55Pd7hv4lMEQWDw4MH4fD5MJhOiKLJ79+5ENbe8vDxgbxDc589pa/v/NUScTicA//znP2lqatqv8NUPjaQoHGXomkb7Qw/ReM3/on2huHr6B6u4qvPwCcPfUg9vWu2znDsO63ifR4e90cuigC7qmHSQMGDQzCDGIGZEtYroMTNhixEvCmFCmMS9dRTi8R66nTachhhGxYBFaGa3OQdX2Eo41oPkk6ix5mALp9Ath4lTgzGeSq61DWskBVGz0JMTpdo4lEpxN95IBgEFguJWRodEmn05jIivIlsqoDawnfRoN/MGxcmIpRPNTeV46T8E20vQxQgm5zCyt73DrIF+xvRKbHUNYbS3FUushMG2gbSIu/FkH0uZtp3qKbmc7cyixTOFaHoJVq9KVewNVq9KY0xPETVsILV0LHazG9/SF/jTmAZuiVtoST+F94LlrMs180vLW3iMxWyudnKcv4LeDD8NHVuJRI5nkK8Z+67l3HxSJ9N8gzl363z+6voNHzQaOG9dDTuC32yfob6+HqfTyeLFi2lvb2fr1q10dnYmZgbZ2dmJmcG+OIYvpsTYlzfJYDBQU7N3T8vn81FZWcnWrf27d3c0kxSFb8jVV1+N0+k86OPqq6/+Rn1q0SiNv/oVXY8/8VmuhQOZ+vIORkiHZ2lnVe9OlhcfvmR5Q49kygsdjJ9VX9tbmnlvIJuiW8AooaoGzLoJswwhpxV3PIIkqpix44yqKIKGSfSQLYeQpAiSUyJgsyIHUjHJ0OO14nRFUHuyiEsxomlR1tqGUBypxRnVscUFYukKK+0DKAg14Yrp2FUvO0okWqRyHBkx1O4UsmJ2FFMOzo4lFHgEnpMmY82M44y4GSDnsal5MSYtG392iFONJp5Wz6KnwMrU2D/ZviWX0u4UNjcuJRYqwrf+PzxX1sSMXeu4rvVkGgptzNAep7trCkNTB2O3mtjWtILejsGUr32KJeeUMjQtj2Pa9zCj/kzcI9I42dtDZexDln1awmTfSOwWM3NXPo0762zSvGbSZ/2FVy7Kxpzi5g8b57E47yqebS3FOCoN0SRRv+50Ghs/PeSPKycnh/Xr1zN69Gguvvhi1q9fz9atWxk7dixms5nOzs5ExoHPO4fsc0PVdT0hEpqm7ScYuq6jKApnnHEG48ePT9SG/qGQrNH8Dbn99tsTqXq/yNctEvJ5lK4uGv7nGmIbN/7XdnoozO/fzeCy6SYiYv+ve/7d7WR8v4+yl30pL1pi5sM04v9HBHRNQNd1RAPEMGHSJaK6FaNBQEfFrJswyioRqw13PEyvQUMVnSgRUExxzDjJjIaJRRU6c2y47RHEiBnZIGBT3fjsAaxxK7pspjtdY5c1h/GhGsJKGJ06ciU3nrwYamshPVIHrkgvllSZ9wMTGGFaT6SjjI5IHVYtk+qSKFN7wtyUMoipwkc01BZxvGKh1lVAXsNinpkQ4K4OP5eZRzI4pQu7P59B1gE0hnfgTD+Wgo41LD4pg8sNEZZ6zyPFVUBpip+CWAcrayo5N5jOkp438GadSobSheCO8nxhO29vb+R++6/Jz8ql3i1wduC3tLSdTmFKGQWNLuZ1vkjuoBMJ+dMZtuIudp07ko99O3i1KUxPxnHMrDmWYROz2W0T+I38f9iMBTz99MdcdJKH8glfP6LeaDRSVlbGihUr9ju+YsUK5s6dyy9+8QvMZjOSJDF06FA2bdoE7P3b/GK5Tl3XEUURTdNISUnBbDYTj8fJy8tj3rx55Obm8tBDD3HZZZd9y2/Zd4PkTOEbkpGRQVlZ2UEfGRkZh9RXfPdu6i648CsFIcGOWu7fcHhSUmwI7OKT0mMOy1hHNuWF9lkks44gqCgYMaJh1AXiJgOiroJuRUfGIhghZsIsKHQbHchhJwYxTsTgQYw40AUdXXTiMYaxKWYUQxtGNZ0cqRVrHAQhjEdzk+brResqpDMaJGipIyoVUGTbgzWQR0csRkSoZmTYSHtqBkNi1eRL2TTH2sjoqmZbuUK1OoZotoFBsZ0U6KVs616JJpWhs4Mqt41ZhjMJFzk4OfYk27fmUdKTwra21aixfNy75/JxcTenN+3itvZj2ZFpZFr4brZtq+IY+xCCKT3gciHHcsj6+BH+MqmH3+teulOO5+3QQNZlm/hfw7+xiaNpbvQwpjGP3ZbNYLfQ0TyQYR3voRa6uaV0PX/WUshUjZzVNIPRw7NY54Tfmp4mVYizZMkgBuZUYHu7m+1vLuiTeIapU6eybds24vE4WVlZ7N69O/Ha55eM9vv0P+dJqCgKu3btYv78+ZSWlhKJRBLFfH4IJEXhCBNeuZK6iy5Gbmw8pPNSZ6/mmo5h/WTV/vzdYeynULkDOdFcfZhG2h/ts3coiAICGoKgY9R1TMhoZiMCEjHRTpgIVsGAGnNiEv0EjA7MqgWz2Emr2YMUcKCYRGy6l1ypB1lWMAoNbLOUkBsJEVJiSEIN5ngqeeY27DEnds2KP19lvnUU5eEafHEDDlKoKZJoileSkhEk2pmFVxIRjCUo+mZOkGK8LkxklGsnzY1lFIW9BEWN/PB23hopMb2lgbe0sZT4enDFMxhoGUC9sgV7yrGUdyzg7akOfhXVedF+KVlDspju3o6bYoxSHnl+N4s3vUYsPoGBLe+x5bQy0jLTOKlpB5c0no29KpWzva2UKuv4dGk2J5iGo6VqbNg5D0WfyiBfO47aFfxuSjM/8wzm+PoNXC3fQEZ2Op9mGrjWtZyC+GI2bjieNFcOY2vzCOWEee+1B1jw/DykaN95JpWWlpKWlpZ43tPTg91uR9f1L01Tk5uby/PPP8+aNWuYNWsWmqbx1FNP9ZlNRztJUTiCBD76mIYrfo7W+81yxEx5eTuj4zl9bNWBbA3WMa/8uH4fB6Ck98ikvNARQdybFE8FEHREVcGgy5h1C5oeJYaTuB5GEC1ocQeqEMZqUjEqRhB7UMxGTLIVQeyi25BFViRGKNpNNFWmze5B6M0hGAsgeXpZbx1MUbgeS0zFKEdxWM1IPitmfwrheA/OcCem1DgfmCcwUlyD3l1OQ3A7HsnI4oEyeVEfoRwfx0jvYwmX0xKrQdMG42hfTEqmmSWmU5CKPZwqPc3ObQWU+FPY1V2NQcnG0ruBmkKNkYEoL4RH05QmcFzoEdaszmNcsIRt8krSio8j2yVg667m4bIabt61gUfs/0tORT4xD5wW+D9qdh5PVcZQ0qIOZq9+grSi6XidNjLfvoenL0ghPzWbX2yYzZO+G9mm5bCzwsl5ng5GBB6kqXEactzDlPYK9EyB9z99lIKh09i5ysz2vzyO0kd1DoxGI2ecccZ+MQqRSARN0740ELW3t5dBgwZRVVXF+PHjsdlsbNq0KRHv8H0nKQpHiJ5XX6Pp+uvRpW/ulqeHw/z2HRGXZulDyw7Oo1YNTej/r4spsIfx3r5JpHYo6ICgCWi6hi4KmPS9ZTmNmoxFMxFHxijoCCj0ii7MCoSsBuxGCYMSx++04DDHMMtmrEIT9ZZ0tGAqoqLQ43aQ4g6iB1OwyEZ601X22LNxhNz4pRBxcRspYR853hYMXcW0RoNE2URVxEx3WgoVkd0UxNPp0VR8HZ9iz9R5WZ6ELyOI2pNNZSST+lAtWWqQOaMELm5p4Jn4sWSnh0iJexlgGkidtAmzcyIlte/w70kaN3S0cbcyA/MgLzPNHyJFJlLhGYjNYmBPz3aCPRXkz3uAx08TudacRdQ1hv+EhrAu28g1PIaoTiYeymTInjRWdn9IetloooFsyuf/herzhrE2rZd7dqxjQ94MHmweCCNTGeRSmNb7S2LRc6mvt3KKMhyz08y7Kx8hf/Ak2hvLGGHZiPE/T/D0rD/SEGz4Rp/lPs8kp9PJypUr+de//nVA1TaXy3VA8rx9DBs2jKqqKqxWKy6XKyEG/R2XdLSQFIUjQOdjj9H6xz9CX0RE19Rx37r+z1VUE2rgw8rj+30cgItSj0Q9XR10HV0HWTRgREbRTVjUOGBGFUVsgoLJqNGLA4uk4HfaSdUkYtEAXS47qcRQ5Cghp4Zo01CDDjSDiEP1km7044iDgIpd9JCa0o3elUdEihFKC7DePIJKaRc+2YpN91BXGKVRqiQjvZtAewHGeASTXkR9RgdTe2NsSRnMFH02/uYyVC2AYB6Kb/cH+Itgh+k4tFIfp8vPsnNbIcW9XvYEarAJqejmJoRcGz5y2GQbhDVVYVh8Ads2pzOkKYNPdr6GxTWVQeoGWsdnE8kyc05dNZc0TcdSlcoFnloKtWZWrkxlUmQAXSnt+OUuutuqGNb9IXKZlz8XV3N/UEVwVXLBrpMpG5eN6hC4InI9JnEqq1dbOcUxBpdiZfb2p0gtHkhH0wiG+prxzH6CJZcO5zHLMuo++i20bTnkT3KfZ9L69et5+eWXKS0txWze33nBZDJ9aUaCNWvWYDAYiMfj+9VokL7FD7jvEklROIzouk7rXXfT8fAjfdpvysdr+GX78D7t82A8boyhCv2fLnzcEUh5IQLoe0ty6gYRAwqKZsSiqMQxo4pGbHocBDAbBVQlStTuID0eJqKHMBjd5EhBYtFuOrwOXLYoNtmEamhHIouCSBuarCOJtdjiaeQZO3DETNhkI+EMlc3OIlIDCko0hCMaQEiT+MAygTH6aqyBMupCO0gLtbN+gEyNPAI1BwoifsrkAra2r8Kr2VgzTOeSjjYeDU/Gmx4hPWal0lBJTXQdBssxFG1+lSfGB/hl/Q5+0zOdrhIHF6uPsmfPBMY7h9Lr6sKclofNkIJ30zv8ecgu/tiwk8ec15BZUYDg0TghcCcbN4zi2LSR2M0mPln/CqLlNCpTunDUr+Q3E/dwo62Uwf4uftR+OcOHZ7PVBTcK9+E1ZbNwYRpTssaQ0W1jccd/MHnc9PYcR0V2mPT/3MXmi8bw96xN3Gku5NgtH/P0+wvZ2Og/pM9yn2dSWVkZZ599Nps3byYSifDOO+8k6jh3d3cn9hT2uanC3qjnaDRKbm4u6enpiYJaACNGjPhBBLUlReEw0nrbn+h5/vl+6fv4l7YwLt6/dZbrws28M3Byv44BRyblhYaI9lmaC00QEfTPMqdqInHNjGow4JBlFEHGadAIEcas23DGZBSTgFV34ImoKCgYBDcZWgBBFrAYGthuKcIbttET96Pb29hkHUhxuBFDXAOhgwzJS0ZaJ3pHGS3RHmL6RoZFrATT3eSFWsmX3MSEFIyR1YwVJN4wHMc4+wYa95SSKhnBXkpmzXtUV0gEhWGopZlMU19k545iioIptESbcRschLMilKZ78dvGEc8rZ4Svi1xVJdabR4Hfw7KtbxEKjKRs1RO8dnYKl9pzEWxDeDU0jI3ZJq5U7yceORmPoZiSFi9ztj5LVvlZOC0Ost67h3+cZ2d0WhEXbfuEG8UbcWRlsyxD5De2d8nWmlmyZBCj8oZRvMfFRnUJIdmPJJ9Gfgbkvvp/NJ4zlj8VruX/7BWcvn0Rz2X+njt3FnL3pgZW94a/9Wc8bdo0Ojs7E2U+RVEkPz9/vxnDPi+juro6ent7+f3vf79fHzfccAM2m40TTjiB9vZ2PvzwQwYOHIjb7eaiiy4iEjk8+cn6kx+kKMyePZtjjz0Wr9dLamoqZ555Jrt29e+SReudd+F/9dV+61+PRvn1LB2Pbu23MQCeEALIoumrG34LjkzKCy2RKdWg6eiagCioKLIBoyAgG2RscRmZGB5kokIUGyaUsB1RVAmZ3EgBJ7JRwKz7KIz2Eop3E/BBzGlE6s5ElBT8mRr1jkysgXQ6436ipp0EtWLKxXrccTcmHDTmh9kjDyA3tY1gWxmRcDsOLY215RGKQx5C2V7GxD4lSy5nW/dKLGo2dSURLgz4eSA8FVtmjKwYVAoD2BlaBYZx5K97nsdGdnLFni38rvMU6nJNnBG5h/XryxkfLmNTZAkp+VMptXUSKTKwPU/m4t3rmNlyHobhqVzi3kwuKls3pzK+tZBtwmoc2YWEegqpXHQvq88fTEO6yh+rF/FqxvWslovYVmbncs8uBkTfYuOG48n3FjO8Jp16905qmzdgtJ+Dz2uh5D+/o/fEKm4YuJZfuYdwfvUc3sy5kT/VDaRqQi4LrSqzaz/C3/vtgxudTidr164lKysLVVWRZRmz2ZyYDSiKkqjSJklSourbPmpra4nFYixevJjzzz+fhx56iJdeeon333+fOXPm8Le//e1b23ik+UGKQjgc5oYbbmDVqlXMmzcPURSZPn16v2U9bfvLPfS88EK/9L0fu+u5b3Vlvw7RFGnjzUFT+nUMgLOc2/t9jP0REg9RF0ATAR0NAbOgoRslBMlEzCbiikcwiDpBowMl4sZq6Kbd5IGoC5Ohh3ZLOuaQAz0epdvpIMURxBIzIuoGjCY3aSk96D1ZCLJGIEdikW04BcEWjJEY9kgUPT3Ox9bxjFbX4A0X0Rhrxte9iWi+yhvKZPLSOwm051EU8RIxOchpXsyCIVFcSiGxojzOVF+lZnsJRSEPHXI3aQYDbZUik10e1tinYa8o4GxXNRZpMAXWAdgsIh2xNuRoEZmL/8kdo+r5U2sLz7j+B19FIS6vwnGhh1m5YgBT7FUoXondbRsJdI9juP8jwgNSeLRgBw+0ttKQeTp3NFWhjkhloifMpN6baWqchqilM7GhiN6sXlZVv4c7+8dYTC4GfHgzsVHlXDNqE5d5h/HzDR/wUd6v+PWuKkaOy+VTF/zcs5sJ3b+hetNzNDR8s83nz+NyuZg2bRojRoxg2bJlmM3mxEa0LMtEIhFEUcThcKDrOjfccEPi3GeeeYaWlhZuuukmFi1axGOPPcaIESM47rjjOO+8874XNZ9/kKLwox/9iHPPPZfy8nKqqqr417/+xaZNm9iy5dA3tb6K9vvvp/swVnXyzF3D9a39u7/wT7WTuLF/ZyRDY4c35cXeokXa3hLNCAi6iIwCuoBNVdDMCnrERNBuwxELYREVugwezKoZDT+iWcCsmjELTbSa3Uh+N7JJxKWlkq12YJWNKMYmnFIauUI7zpiISQGj3Y41TUHoKqE13o2sb2JQxEE0w05qb5DMuBWEXHosOzgxKFOdOpjjlQ/RuytpDu9AVMsJOvcwTY5xf+RUDFkyebE4FcJAtvauQGMMOWv/zdPDO7igcRf3+o+nPVPk2MjTVG/IZlhrFp9sfxVdnMTAhlksnJbDmSm52I3FvBgeQXWmkZ/Jd9DZeQql7kFkRpzMWfsvrN4zKff6cTSv5saxO7lDyCAdD+fWnk3xuGwcbo2LAv9LLHouLc0uTuwdhJKhMWfFU2SVn48q+Rjy6T3oRWn87/E1nOUbzK/XvceS/Ku4umYco8flsNQDl3vqmOz/DSbTScydm8LyuUuQGoPf6rNet24dAwYMwO/3U15efoCraXV1NZqmJZaC3n77/5e8ffnll7n++uspKSnBYrEwbdo0LBYLRUVF7N69+3tR8/kHKQq7du3i4osvpqSkBLfbTXFxMdD3LmfrP9hJ65xlfdrn1+GYVzZzTCy/3/pvj3XyWj/vLexLeXG4EBD3Jj1CQBONCIKIioYi6NikGJLNiCEuELMbMUhWEMIIRgGzrON3GHEb44hxmV63AbtNxixbEQydBMQcCqMBAvEQmBrYbBlASbgVVVaQDDW4oxnk25uxh9JBNdOcG6BOGUiRt4FoeyUd4T14YrBuiEpDfCiGbAVPUKAymkVzvIMc/1ber4pRHnXTk1fMmbzJ7h1lFITd9BAhS5TYMdLChaKV18wXYh2UwQzTLLrbj2G0fSg99lbsWQPIsIqI1DOn2M/Patby0/bzYWgKl7tWkKal0daYSVVDFktb3iKjfCo2o5esD+7l/nMEzvKVcWLjVi7w/w+DhuWyxy3wS/kPWMWJrFvn4FRhJFaHiXeXPULe4HMI+rOo2vokRofOL09tYYKvnD+u+5C1+ZcxY+ckxozJZolX4GeePZzg/zUm48nMn5dFZW4Z42py6Zi1hc76um/1eb/44os0fhYwum/pyGTauyxqs9kQRZGcnByMRuN+EdHV1dW88sorvPXWW8TjcXbs2EFWVhZnn302CxYsoLOzb0vkHgl+kKIwbdo0urq6ePLJJ1mxYkUif0pfupxtXNDA0ncaWDvsV0gVo/us36+DHo1x/VsKHq3/fs3/S24hYnb0W/+CrnLpYUx5sVcO9s4XVABVRzCIxEQNWzyGbDICGjbRiBJ1IhHBZZLR4mG6PE4y1SjRaCcdLgcppggmyYBZbGC3NQvRn4EUDRHKUGlwpGHqyaI72oPkaWe1ZTjloVrsEQV7VEFNl/nYOpZRyjoyorm0SxEcgZVUWGTeNB/HBMsKupsqkaVuDOJgxNgaxls0HoqegZatURTzU8YANncvRVVHkbX+JWYN9nNCl5//6OOxZUgMlqvpbs2nsNfDmt0fEw4MIX/R3lQWt3f38pLr57jLi8jyxRkXfZEVK4qYLA2izVmPbDcR7K6g8pN7+eSCCqRMG9dtms9t1t9hyMhnVYbIb01Pkya6WLQonZN9Y/GqNt7f+Bg5gybT3VrMqLY3sUSa+e05QSp9+dyzYR478n7MuTtPZszIbBb7RC7zNHCi/waMxlOZPz+TQXnlTKwtREw18c6ah5n92N/o7fhmm7ojRoxgzZo1RCIRZFlm9erVCIKQKLZjMBgYPXo0bW1taJq2331hX/rt2bNnI4oiW7du5ZxzzuHpp59m5MiRyZnCd5Guri62bt3KzTffzIknnsjAgQPp6embMoH72L6ilcWv7a3eFA4orC7/OfEhx/bpGF+FXtfA/Ssr+q3/rngPLw3o37iFEw5zyovP8mciIqChgmBEEWQ0VcCMGU2XsWLEEDcRsptIRSao+hGMHjKjQWJiHJPBS34sQDTmp8dnxOSS0QIujBiQbR5SvX4IpGKRBAJZAq2eNGw9ezedFTZTGXOiZZqwd4MrqmERctme10VFyE0w28PQyBaKYoXs7N1KRszPB6NkxvUKNGZVcobhPWp3VpAfcRE0Qp7ew/JjrFwVlfiz/BMi5S4ukP/O1i3DmBArZ0NgIc60kxgYX8vmEzIZnZZBup7Jv8Nj2JZtYkb0VvbUncAo73AcZiNraj4iEj6eYYE5BIb6eCW/kft2b2Zu1pUsiJexpcTGL13LKVaqWbJkIMfmjCan08n8hhfxFlTS1TyUkfJi7HtWc8cFAl5fKg9uXkJT9mmcVnMWY0ZksThdZKankZP812E0nMaC+ekMya9kwq58yDAwa8NDmN1uJGkqsx/fiNIHv8xHjhzJ//3f/2EwGCgoKCAej3PsscdisViorKzE5XIl2no8HmCvcJhMJsrKyrj77rsJhUK0trYSj8ePWMnevuIHJwopKSmkpqbyz3/+k5qaGubPn7/fRtK3pW5jJ/Of28rnkwXFwgqr82cQGzm1z8b5OrgXrOU3LVX91v+z8QZC1kPPCPt1OawpL3TQBREdAYMAKioCKhgFZNWIVTMjE0HCgVlS6XHb8MVCxAwyDqyIITOKQUAghbSIjCQHCDicpJiDOCQjsrEHp5xGvt6OIyqiGSJ4ZB9Z3jYM/lzisk57Zje1yiDKPLXIHZU0RerwBVrpKFF4Vz2eUl8jXc0lpEgiuqkMZ8dCClLgKel05Dwoj7VSqg6gunMxqjyc1K3/YWVFjJKYhx0pQ6nytZIuOUkTKrGaICDGsZCGs2EhL1S0cE3NOn7WeRHK0BSuss3FqVSihgsob/XxcfUzuDPPptQdxNG2ht+O3M59EQMx9xh+2zgRaYSPM1PaGR1+ko0bjqcidQAVe1JYHf4YnDa6O8Yz3L4V15p3+NuMFOKpVh7dsRZ/+nGctPt8Rg/NYnGGgUs8zZzsvxaD4TQWLEhjeP4gxtXkomULvLXqfpzpWajidATRwYB1/6T+6qsJS9/eXfWOO+6gsLCQrq4u4vE4jz32GJIk4fP58Pn21hUxm82JPEqfj19wOByIopiYaXzX+cGJgiiKvPLKK6xZs4YhQ4Zw/fXX89e//rVP+m6u8fPRk9Vo2oE+9vGoyqr0HxEdd2afjPV1GfvyJo6LFfRL371SgH9X9t8M6HCmvBBRETQQdDAB6AIgg0FHVEDDiaKHCQoOUCRUqwNnJI7RqBMyOZCDHiwGP22WNCS/G8VowKGnURTrRJJVRMMutpsrKAp3EZbjKMbt9FBGhVSHOypgjwvImTJz7GOoim0kJ55OULUg6+uYGNVY7xvM8fJcPKEKdvSsxStbWDQ0xsndUbakDuM040fU7qwgL+okYrZQIDUw+zgTv+rq4PeBH9FWaOG06CNs2lDI8PYclmx/HUmaQOnqJ/j7qRq3RDTedP0Ue3kJpb4gI+JzWLsmh4mdpVRLS/EWjsJMKtkf3c/d02R+7ipmcCjCOfXnkz8ui1yPzLTeG2hqnIZdzGNUbTY7rRvoirURDU9lkK8T35x/8vzMfGpTJR7fvR3ZW8UJdTMYPiiTxdlGfuJp4VT/LzGIZ7BwQRoj84cwZmc2co7OW8vvx1dQRjx+JnabndEbH8ZSu55Xjxe5duG1yNq3SyMvCAJ5eXlccsklAAwZMoSzzz6btLQ0SkpKsNlsWCyWRBxDNBrl2GP3/+77/X68Xu+XJtr7rvCDEwX4/0W/Y7EYGzZsYNKkSei6zjnnnPON+wx0RvnwsU0o8pe7tcpxjVXuMwgdf/43HudQ0eNxfvWfOKmavV/6fz5aS689pV/6Brgotabf+v48AgKgIwgioqagiyKaAQRRxairhLEhCgqywU5EiODEiBJxYRbDtBtSMClWDGIrIasVQ9SJaOygw5RDWkgkFOkknKrQ5EjB0J1HJOInnBFhlaOCjIBAQAqhsI3SmAtTpo6x24UQDuJSvWyojNMVG4AzO4rQ5aYw5iZqTCW1aQ56gc5byslI+QIDo3WUqAPY1PEJqjwUd+PHdJYIaMJgIoVlnOlah9I7lOHWoXSZG7Bnj6TY0EHLUAtZWR6KJCfPRMaxO9vI+ZE/snnzeI63j0RyhmiPtxHoHkzl0vv56IJC0jNTuXTHcmZGrqVkWD5dHoHLI9cRj55Fd0cqk1pL6fK1sb1hBbrxLApTZTLfuov3fzqA5ek9PNncgslRwuSGyxlUmcXSHCMXedo43f8LROFMFi70MSZ/GCN3ZhLLlXlr6X1klA4jFDgZb4qFqsW3Ywq28MSVebzk2UpRLIL4zrXf+juwcOFCHnvsMex2O6tXr2by5MnMmjWLSCRCNBolGAzut78wd+5czGYzWVlZCW+lyy+//FvbcaT5QYpCXyPFFN7/x0Zi4a/+taLIGqtNkwmeeOlhsGwven0Tf11e2i99h+Qwz1T2X72F8Ycx5YUmGEDQMGgqAjqqwYiGiqCpgIhqMOEUNSJaEFGwoMbcqPRiNatYYgrdLjNucxSzbMIkNtFs9SL3pGFQBYJuF2meXgxBJxbdiOx04UkNoncWEYxF6U5tY7c2hErnTsSOChpizbgDm0n3yLxpnsQxxqVI7YNoCe7AruawsTzIOZ0BFrvHcYplIXt2DSA36iBudVMc3MJrx2pc07SHW3vPxJ8rckz0TZprCykKeKhuXoYcLSdt3Yv8fVgz1+/awBXdM4gP9nK15S0MkZGkGQaQHXXyyeZXkLWpDAstpLPKy7z8bv609VMedP+GWFoR69MN3Cjch5PhVG/yclJ0GHKqxJKNr2P3nUe620T+azex/JIq3s5s5MmuIG5jKlNb/ofysiyW5Zm4wNvBmf5rEIQzWbQohfH5VQzfmU4oJ8LbSx4gb+AEejonkZlhZMgHv8No1bjrpw7m2eu43jWYm9e+j1q3glc/+Zr1SL6CIUOGoOs6LpeL6urqRKlOo9HI8uXLAfB6vYwYMYKioiK6urqAvbONe+65p09sOJJ8L0Xh81kSD/boS9dTXdP5+F+b6W7++uuamqqzWh9H72lX9ZkdX4Vz0TpuahrRL32/FKqhy5neL31ndK3EIvZPUOHn0T+bKYi6trdUs66gi0Z0A8QFGSsyqggOIY7JqNFl8GCRRYI2SDXIxOJ+etwusrUIcrSXLp8Zp0PCHLWgmGJ45DTytXascQNxQyOOeBZFYgvuqAm7ZCSarTDPPoLB4a1kxV3opNHs3c2gkJtwjouSYBNl0SzalRiZLYtprFBZok5BKjAwJLKdYnkgm9oXoSsDMQWX4ckxs810IlpFLhcZXqe+dhTj5QrWds/DZD+BgbVv8tIZNm5UTHzomIG5rIRhqd0MkqvZsS2X0c15LKp/lZS8MyhyRLB3ruXW4Tt5sKOHTWkX8E50CJtLbNxof5ccXWLJkixOsY7GajPwwYrHSC26AJvJTembv2P7j0fyRN4OHgtBtmrmlI5fkVuYxYpCMz/2djLN/z8ITOOTRSlMzB/JkJ2p+LP9vL/0b+QPOYGOlnEUZmsM+M/1CPmp/PoiiS3Wbu41F/OzjR/iz5rAFP8f+L/ZjXxc3/Wtvwtz5szh/PPP55e//CWnn346aWlpWK1WLrjgAq644goAgsEgmzZtYtasWQlR+GKNhq6uLiwWC/Pnz//WNh1Ovpei8PksiQd75OT0XQ2CT9/axZ5Nh/5F1DVYExtG91nX9ZktX8WoVzYwJVrU5/1GlShPlY/t835hb8qLH2W29Uvfn0fX9/oGiDpoqgFNVDFpIprFTERXsOsqkhjHJUUxihoR0Y45JtHpdZEVCxEUwpiFFPKiQaKSn5DDS4boxygbMQg17DKXUxQM0hsLoNvqWW0bRkmwc6+3CjspinlxZsnQmUUk2oknrFBfofChdiwDU2roaR6AFO/ERCmNGU2c6w/wvm0iJ9iWUr97ANlRK5ItjaKOlTw/Ic5lTQ38PXYC9swoFVIL9nglVoNO3GolzWgkktqFlG9hSNjAU9GJNOQYOCd8B+vWDmeKNowG03ZMafkIahY5cx/ittOC3GTKxGPI5X8aphIZnsJPvDsZLC1kyZKBTEkbQ6ps4721j5IzcDq6nMHAOX+k9eTB3FW2mb9JTsrDUc7suYG03GzWFFs519PNWf6rETibTz7xcnzeaAbuTKEzs52PPn2CgmGn09FURUV2hJJXrkeuKuPKs9rotWk8Kbs5dftCduefy4SGa+jR7Aw4NperapuoDn67jWe3282rr75Kb28v9fX1ZGVlMWPGDKZPn84NN9zAlVdeicPhQFEUhgwZktiIBvar5/ziiy+Sk5PDlCn9nwGgL/leisLnsyQe7PFledQPle0rWlk/51vMOnRYHyin49zff3XbPkCXJK55I0Ka1vfxBa8Hd9Dm6Z+CP9Oc2/ql38+jf5bSQkMHXUQVdUyyiGo0oppM2GWZuEnHFY+iiBJuk0pEDYDFiScSBaOObnAjBKxIJgNWPZXiSC/BaBdxX5QWhxetOw8tHqE7y0jUa0boKKY72ovf18JufTADLNux9JTQHOvFIK9mhCKw3jeY8bFPyY0UUxfeQ1b3NtYPUdipjCVeaGF4ZBPF0gA2tS9GUMpRxS0MTzHztjidWIWP85VHqa6upKorj2W73iYeG0ne8id4YFw7v63dwlX+SwkP9vI/hueJdh9DpW0YdqPIjvZ1hHpHMXDZg8w6P4vhGdmc3LKHc5ovJXtcFoNTQpwQuoeNG45neOpwCrs8zKl5hoyKSUR6Cxm28n5CI3K5ccgG7ieDET3t/Cj8O2yZOawrtXGWt5uz/VeBfjaffOJmSt5YKnZ5aElrYN6KZykYNp32hgEMTm8n/+Xf0ntCFT87YScup5fnu6OMqF/HgvxrOGHneXicDlKOy2aNTWeCI0rH5ouQpG8/Y/g8DoeDv/3tbyxYsIBwOJzYcNZ1nbFjxyY8kSorK/nwww+BvSkxJk+ezLhx47BYLGRnZ3PTTTcd9V5K30tROBx0NARZ+ELf3Kw2defR+uPb+qSvr0JvbOa+pcV93m9cjfNkaf8sTx2ulBeiyF6vI11HE0Ukg4hZEVENBuwxiZjLhBizEhdipOgKAYI4dTNyyIPV4KfZlIIacGM2ddFmzsTU60aX43S6naS5AphDVnRRxaGlkuvowB6245CMRLNlFjmrqAzuIj1uwqansb2wl3CsnNTsXmJtWXhigFhK2LiJ02MhXjVN4TjHKpprB5AZsyHbsilqWsALY8NM6+jlA8tEhqc14QxnMtA4lHZqsaaOpSKwmnknufiZwcYn9h9DWRnjfc2UKl10NhcysCOdedX/RjCfytDQYppHe6jOj/PbrZ9yjXoDOUMLUXw6FwevpanxTFLNpQxtyODTrrdx5JTh7xzIiJ3PoOaa+cXYLdxhLubY1t1cLP0fqi+X6nI7Z3p7mO6/ErSzWbLEw4m54yjd7abeW8OSta+SN+QCOhqLqXLtJPP1P7Hn3LFcOWYDlZ5CXthTS1FPM09m/ZGf7jyWyjw3gbFp7Dbq/NRTz88CP0GI17NkyRt9Hi8QjUZ5/PHHE+mz9y0VrV27lsrKvTnHLBYLl1xyCcuWLWPDhg288sorjBkzhg0bNvDYY4/xr3/9izvvvLNP7eprkqLwDYiFZWY/8d89jQ6VLR3pNF14d5/199+wL1nPHxr6/gb+Zu82mnx97/56eFJe6Oj63puIqOqIBoE4RgyaGd2oIEQNSDYBPWIl5DThi/diMOkEjW6EqBNV6EawiFhlK0axmR6bE7XXhWTScOsZFCjtGOIimriDDkMlFeE9EFOQhXryYimkZIZQO0roirTiDjVjzJR4yzKJY4XF2HsGsiuwmfRgD0uqFCLxQUQKnYyOrqEwPpBN7Z9gUorwpzRwqhkelM6nt9jKqbEnqdtRQknAS03PZix6DqbIWnaUKhzjl3k8Non2HIFpkftYu7qS43orWBuYiyd/CnlWGWvvOu4ZWsv9e2p43vtLOnzlbMs08kv5DyiRkwn7c5jQUEg1y5BsRro7RjOq610Mxh6umbSbXzvKOX3PRi7XbibgzGdLpYNTvX7O9f8cXTuHpUvdnJQ1juI9Lmocm1hV/S45Ay6mpzWX0YaV+N5/hLWXjuE3lWuZkjKIf21diVcXuNFxN3fXVTBqYDpbB7mIGeFm1xym+q/Haili+7Zz+eSTFlZ9srxPvyHV1dU4nU7+8pe/AP8/LUY8Hqfjs/Khzc3NdHV18bvf/Q6TyUQ8HmfLli34fD4sFgsGg4E//elPXHjhhUdtmu2kKBwiuq4z95ktBDpjX934ENne6qH+4r+ifzYV7U+Gv7qeqZG+nTHImszjRUP7tE/Ym/JiZmZdn/e7PyKCIKAjook6oipg1hVkbAiGGJJsxCKYMMQEAk4b9qiEWYzTZXBjjWt0ucykmmLosRCtPiteWxi7ZMUo1tFgKiY/KBGIdBJLC7HNlYe9K4uuqJ+Qew81DGWwcTueUD49kkqveRODgh7iOTbS/WHyYy7iYiZibBkThSjPiiczwbWO5toBZMTMKNYCCure562REUYEzezMGM5prhX0tAxjnDKA1R0fg+F4StY+xQOTAvyhYRfXBC8jPMjN/whP0NZ4LGOsI4hZe4iaRZAKyF34CLec1MVdkoU21xReCI9mW7GN35r+hVctYse2dE7oGkCzs5aWUD2h4GRGaiuwdVVz7emtzPSWc0HNCn5hvJVmayE7Bzk52RPgPP/P0dTpLPvUzamZEyhodLHVtIpNOxeQXjKDQHcWY8KzcS95ldlXDOMvuev4iXcYD637GNGZz4+VO3mrPZPRY3JYWmAm0yryZ8vDDAg8jtVyDEsWH0dLi8aY/GHkzNGIVh96xPMXHVUWL17Mo48+SiQSIRgMsnbtWtxud6Kam81mIxqNAiRqNSxduhRJkhg9ejSNjY2JNNsPP/wwAB999NFRm2Y7KQqHyKr3atlT3bfrlZ+nptlO3UUPohv6Zt/jS5Flrno9SEYf7y+869/CnrSSPu0T4ATz5j7v84vo2t7Ka5quoglGLMjImhnNoICuYdEsGFQVs8mIGvGgimG8Jg05HqDX46UgHiAodRGz+yiQ/cRjYVSXn1aHB6UrC0HVCLk9pHp7MPb6sMYNhHJUlrqGUBRowhGWcclOaislFjKRoe7NRFuG0hKsISVuZvGwGJ5oAYECL2OjKyiIDmBT+xJsWg57Crv5iRThT5EfE84XGBdbiN4zAAsqiiONQrWdjWOMnGV3sNp6NnJpOVNSdpMTFxFDFeRFXKza/SHR8HgGrnqEl89L4bSUHAZFRC5vOpPAMC8/dy+jRG1j+bI8TlZHEHcH2VS3EEU7jSGW3bi3fszvz41yqq+UK7cu4nfWW9luKKZ2iIsTPAF+3HsFmjKdFcvdnJY2gbwWBxtZzM6GVaTkzSAWTmN084s4tizk2Z8X8WzaFn7jHMRN696jJ+tYJnX9nm1RDwOPy2OJT2CcU+U25ZekRRaja9OZM6cUXTdzeuZEhu9Mx2A3svSdl/C3tR7S9+CLjirbt29n8+bNGAwG8vPz+fe//43H48Fq3ZtbTJZlotEoJ5xwAtOmTQNICMaGDRvYs2cPixYtYubMmYllpjPOOOOoTbOdFIVDoHFbN6s+qOv3cWqbTey64EF0c/+mp9abW/nr4sI+7VPVVR4t6Pua0SW9K/q8z8+joyOIwt49BUFFwoRZVzCgIlmMGHWJmOgiTgQ7ZojYCVtU0vU4fgLYBQ/uoIJsAjNp5IRkYtFu2lJc+JwhrBErssmPVcmhXG7EGtNRjM3kSD4yMnrQ2ippibViiW2mzCCyPnUgI0IbKIxm06WCo/sTKpwST3Iqo1K20FZXSXrMhGotJq9mFp8Mi+GUiukuKuMC46vUbB/GKH8+q+o/RJcG4619lwWDw5zcGeTR6BQCuXBy9Ek2bShjbEcBC2tfxuw+g0Hh5dSOddCVb+BnuzdyXteVpI3N4ThfG+Nib/Dp0sGc5BqDzSKwcNOLmFznUuoKkrrkWe6+yMSw9FxurJ7PHa5bWa2V0TTUzfGeIBcEfo6mnMPKlW5O800gp8PBqvgc6ju24Uj7CZqSwugtj2Lr2MFfL09hrqeB+4wFXLppNtvzL2D8nqvA6k5sKJ/v6eQXoRk4CdLVeTFLljjJ8KVxrjiBnD1W9CwDsxv+xYYNH7Po+edR1a+/1Gs0GjGbzVRVVSUeI0eORNd16urqUFWVjo4OgsG9KbwLCwsZOXIk8+fPZ+XKvalZ9uVIcrvd3H777ZhMJn72s58xa9YsXC4XJSUlR23yvO+kKCxcuBBBEPD7/YdtzFhYZt4Xchr1J/XNIjt+9ACazdmv49g+3cite/p2f+Ej/xZqMvu22I8xUM+ElH5OeaHBvogFxWDCoKrYNBnVbEUnQhg3cT1ASHRhk1TavS7SIj2IJp2oyYXk92Ex+Gm2pBHvSkE1iTj0dErkdrS4gtFcw3rbILL9RjqjPURtu9kpDGeosB1fOB1ZtdOQ0YQWKSYnq51IaxlyuAOnlsmayl7KQj568jOYEF1KfnQgmzo/xaX62DAwxBX+bv4cm4YrJ0xBJEKRNoRmZTtG1zGU736Lx06UuLmlmV9FLic4yMPPtYfZtWM8xzGMOm0T1swqskw65tB6Hh/czN0167lJ/DWeQSXYUyXOCd3Cxg3HM9Y7kgzJwYfrHseT82My7SLZ79/DPy5NJS3Tx60b5/FQyv8xN15J23Avx3hDXBS4AkU6h9WrPJzhHU92t4NPA+/QGW7G7LoAs9HFiBV3YzIEuGmGzk5XiKfiDqbuXMLsvGs5ZefZlOR4CIxNo8EEN7pXcrb/KuzmAqo3nc2WLQKD8io4o2MYDr+B3uxeXl/+F/z+VvKHTKa5dgTL3zq0yooHc2sfPXp0YiYwbNgwFEXB6/VyxRVXkJeXh8lkYunSpQC0te11ow4Gg8yZMyeRXO/ee+/lhhtuQBTFfivq9W35TojC5MmTue66646oDZ+8vJ1QT/ywjtnUorP17L+iuXxf3fhbMOS1dZwa7ruIZ03XeDS37z2cLvT1Y8oLQUDQdDRNRRVFDGgoqohZk7BpFqJaFLMIoijRK3pQ1RiizYohZMFi6KXd5MUs2RGMbUg2M6aYA9HYTKu5kKxeCIU7aM8yYUiR0TuzMcY1gnkaq1yV5Ph7ESIh3BGJWL7Em7YpHKMuIzVQSn2sHV/ncuzZMk+rpzM4dSede8pJjYpolnKydr/NrgEKjdoEgmXZnCs/ya5tFZSEUmiMNpOKieaiXsak2tlqOplwaTmnpWzCG04lSxuKXYDmaDNavJy8JY9yywmd3N8TYq57Jru9g2nMNnBF9Dc0N55GnmUQZV2pfLjln6QWn43D6KHwrVt45bIi4tkW/rJxIc+k/Y7/hIbQMyKFsd4QFweuQI5PZ+0aD2e4xpPR6+CTrtcJ6WEw/Qi3w8awOX+ALBvXnNuD4rHyQleI4a07+XvGn7i6ZlxiQ9lgEbjL9gwjeu/BYjmeTz45hu5ukSm5YzimJh+jycQWyypmf/o4Zrud3MGX0NE0EnQDyvqVhD67YX8dDubWbrPZyM/Px2w2EwgEEmU8TSYTq1atwmg0Jiq47UPXdRYsWEAoFGLjxo0UFhZy88039/W3t0/5TojCkWb7ilZ2rj4yU722Vo3Np/0Z1ZfZf4MoCpe/7idL7btZybyerWzJGdxn/UF/p7z4LOuluLeqgllUUDQLFjWGSTOhiiYcgoQmGnEYRHp1P07NhBZOQRJ6cZkUjLEILSkO0o0hDHENLG20Od1InenoRgGzkEGBsR1HzIAmdpMupZKd0Y7ePoCmWA9x1lIZ8UC2EXunCU9EwUw+O3JbGBOw05yXz7HRReSGB7KlayUpio0lVWF+2tnFU5zMkPQ9iF25jFIGs6btI3R9HNmbXuD1qgDntPfwd+kk5ByVydH/ULejnCFdmSze8QayPImB6/7B09Pt/NSegsk4kEdDx1JTYuUG/a8QmoAWKmZkUw6LWl7FW3QsgpJDxbt/YM4l5dTkKjywZRlvZFzH0/4qQqN8jPRGmBG4Ajl2DhvWeZlmH096xMG85heRLQKyMo0Mr5GBs24kUpXPz06pJdebxfO1O8mNxfiV7W4erC9NbChXOOBOfk9u5ENU5UfMnVOIxeziHOdESne5IdP4/9h7z/i4qmv9/3vOmd5n1Eaj3rssy73hAsZUA6aF3lsSkkAgjdwQQgIpEEIIJQUINYQaIPTi3m1ZtnrvXZrR9D7n/0LEXO79J7hC7u/e55U12mft7Y/2nLXX2ms9D++P/JmGlo9JySlGl3QFU8MpmKxKFk6/SurLP2XkzjvxBqaPeIds2LCBhx9+mJtuuonu7m5isRgGg4HHH38cj8dz8LIZZog3AX7zm99w7733YjQa6ejoYP369cesT+p44d/eKVx55ZVs3LiRBx988CBdbW9vLwB79+5l7ty56HQ6Fi9eTFvbsdf19TpDbHqh/ZjbPRxMjMdoWPUT4qnHh+0UQB4Z41ebshCOUXpMRuZ3aRnHxtgnOJ6UFzNtawIiM41ringUGVDE4oTQEJUU6KMhomIMkxBGEMO4FDa0IZkJqx6HHMIdniSiS6IgOI0/MM5wsgGb1ocurAGpl1FFEUUeD66gl7CunTaphup4G0lBPdq4kYECPztYRI3+ANJ4BT3+HpJcHXgKojwfO4XilB6m+4uwBSGuLCap/00ieTIfxU/BX2RkTeivBEbLUCfCxA25FEzu4S+rEnzfNcntwatxlxm5JnY/zU1zOSFQxu6pt9HYVlPm203rfDXaTB1rJqa4YvR83NUWvq57k7Soid6uDJaO5LMvvB5lSg5hfzHlH/+EPesK2Zjj4eH2fXyccgMPTs4jPC+JakuAyzzXEAmezYH9Vs7QLMAW0fFuz+NIFjMB/ylkJ8co/Ou3GDu5gmsWNbDMVsLjTdvRaNNZG/4JH03bD14on2bycXvgCiyJMcZGL2LbNh159mzO9s3BOq7E6/Dx0q6f43KNkF21Bq/3dIJeNXmOCLUffg9N3YdQkMOvz1dx1+6j7xH4+c9/TkpKCuFwmMHBwYOyniqV6qAz+EdqKD09nbS0NERRpLCwELvdftTzH2/82zuFBx98kEWLFnHdddcxMjLCyMgIWVkzUpN33HEH999/P3v27EGhUHD11Vcf8/k/fuI3mGyDx9zu4cI5GaN+6Q+JZRQetznUOxr4cV/tMbO3ebqV+qyaY2ZvhvLi8CpJDhUyICMhJ2QQQEqAICZIRETCaIgq45jCEcLKMNaQF0mCkGQkEfHh15ux+1xElHGUghm1W01UklFLaRSFJwkHvEQtToaMNhLjGRAK4clI0GDKI9mVIBjwoAmNkKIXqE8qpcTTjSNoJIGdUUMzJ3gVdKYXsjy8ngxfGc2uOlLCCd6dG+D8CR/vm5ZxsmELwz3l1Hpz2De8CXU8m5C6hXSHmgFxOc78Us427URy5VHGbHzCGHGTg2RRiRQ+wMsVTr7XsZ9LvV9DPyeDM6ztVEYb2bs7l9W+SgaULfgUMbzTs5m19zf0rMrgr4Vj/KG3g73Jl/CTscUk5idTbglymecawoFzaGq0cqZyPpaEhrfaH0Nvz8btXEVJ0jQ5L9xO84W1fLOijsusVdxf9y7u1CUsHb+dKTEJ67J09mllbjK3con7CgzqTA7sP5O2NliQNYtVfYWoUdKm3cfbWx9GYzRhL72C8cEKVGoFc1V15D1/C6J/muG187jyvHG2aAbon2rF1/LmUe0VjUZDYWEhgiBgMplYvXo1fr+fSCRCIpFAr9dTWzvzPfrpT3/K8uXLefvtt1m+fDlJSUno9XreeecdfvOb3xz9xj0O+Ld3CmazGZVKhU6nw263Y7fbD3YS/uxnP2P58uWUl5fzve99j23bthEKHbv+gQMfvkvn7i0MNj6PLW0LSu3RcbYfLdzOKPvmfYdoXuVxm6PspTpO9x07x/O7T0RJjhXWHjfKixnybEGQiSpE5JhEnBiyLKISZOLKEIqAhNegxhCMERWDJEkxpnBiEnQk3Ga0imkG1SnEPGYEpQuXIgObW0k44sZptuIwONH51SREL9ZoCpnJI4jjxUyGAkwamlD4c8lJHSQ8XM6Yr4ck3zR9FTHeip9Inn0Qb38+5kAcWVGKYeJ9HGkyf4quI5YrUhvYT1qoiqFQC4JmEblNT/PkIg8Xj07wYOQUlI4wi0Kb8AyXkh000Tyxm3iogsydj3HX8nHuHxrkPtXNSCVFOFK8rA7+np3bqzlZmktA46TH3Y7fu4zavueYqtTzm4p+/jAyQrflDG4bXom0IIVia5ArPdcQ9p9NS7ONM4R5mEQNbzY+hCW7gqnxJVSb+7C/ejfrr67h7tx6vmco4/Z9b9GYdTGLeq4iOTUJz/xkJtUCPzG8xtLpO1CpVrJh/Tz8fjVnpC6hqiMZIUXJR+PPU9/0PmkFVSgNl+AatZKWJrGw+TeY3n8cIT2Nv3y1lG9V7CMiydxoruK5xh0Y3vgG+CaOesekpKQQi8V44YUX6OiYUVqUJInLL7/84MG1ubmZkpISTjzxRBobG7n//vs5cOAA559/PqeccsrB5/6d8G/vFP4VqqurD/47PT0d4JiVeXkmx9n47OMHfx5u3UXc/yxJji9XmNs7HaWu6ubjp/sci3Hli1NkxI+NotrO6XZ25847JrYAKo8b5YU8o7RGHCQQZQVxoiQSIoZ4mKgOZL+CsFEiHjDhV8VIjnpRSgmmFFbEgImowoVKk0AbUiEpBhjTm4k5rURVYRRyFqWBUQLhIFFtC62K2VSF27AEJIxRNe68KG/olrMwshtHwIE7riIg7GJ5UKYupZKV4Y+xe8todR8gze/hzQUBlrkkmuyzOFd6ge72Sgr9VsZiXrJCk3y4KMo3fT7uCF2Np8zEFbH7aWyoYeF0Ppt6XgTxJMob/sijZwnchopW7ensN9Uy7RC4NHAHDQeWs0Q3F41CZk/Pe0Ria5g9/QGRZB93zu3mD1M+XPplXD90CtqFqeRZQlzpuY6g72za25I5MzEXvVLFa3UPkFywiKnxucxV7SP5o0f56w3F/NnezgNSFhc3fcTrGbdxZsfp1JSm0VJuxKoT+Jn0M/J9fyUSOZ+PPswkyZzGOnkh9n4NPkeAl/f8ginXINnVa5l2nkQkpKIiZZzyl7+Oor8Vz6pabro8xGvGdgoNWTwb0vG1+rdQJGK0JZ/ID/9+9EUL2dnZRKNRTj31VGRZRhRFFAoFo6Oj9PXN6IvH43HWrFlDOBymoaGBK6+8koKCAm677TaWLl3Kk08+edTrONb4H+0U/tFmDhwkpDpWZV7v//4hIv/p4ggg4HYx1PQ0yem7UKi+PB3Wg7rPVcuOi315bIJfbHAcs/uF31mMnz/oEKGfPECG5jhUgcmJT2KFBJIskJBlZFEkIsoYQkFCGiUkQIcSRUCBy6rD5AugUIQIKXVoghGGbQYyhQDhwCTDyXqStD40YRVqRQdthjw0E6lE/R6mHTKd5gwsUyacIRdyvIncqBWFA6TxFKK+KcxhJc0VEXZFl5KdPkpgMAdzIIosliL6NzJXF+X+yPlYs7ykTEN1uJy60Q8RE7NQuz4kmifgkhcwll/G+cYPCAyVMy9eQ6d/F8qkJRR791O/UKAozURByMwv/CfTm6/hG7EfMT6wgkLVLNIjej5qegZRcxZV0XoUsU5uX9LLIz6Q1VVcPHgWxkV2sqxhrvZeR9C3ls6OZE6P1KLRSry259fYy1bjHK9iXvhjzHV/47fXprI+eZwngmpW9tdzX9JPuKW7lnnzZy6UF5ki3BG+jtREH8NDX2HnDg3VWaWcOlqBPqyi09jIW1sfQmexkVp4JeMDhZgsKha5XyftpbsQjXo+vK6GaxccwCWFuNpSxV+b91Ax3EjUnMvdST9nTcc5PFvv5MOOoztAzps3D7PZzNtvvw3MvI+SkpKIx+Pcc889B8e0tbUhyzLFxcWf6ZTeuHEjXV2HVyr7ReB/hFNQqVRfqBh2w/r36Tuw75/+frB5C0Sfx2Z3/tMxxxshf4zdmZcQql19XOyrdjVyd8+xuV+oc3eyJX/hMbElyHEuS+s7JrY+A1lGkGWiAkhICHIMUZQIShGU0Shq1CBHEBJapFgUSask7rMSFL2kKCNMRydAYyPT4yVAAFGVRknISdA3wWiaCq0xjNJjICGFMMVSyLEOoZjKIhJJMO4Yp16eT626HuNUMUOhaaTQDubJcdbbFrAq+jF2dyltnhbSPSO8syBMlj+dkbxczok+jWugElU0SExXQkH3Gzx+QpBrRib4bfw0zBl+qgPtqN2V6OIxpiWwyTpI7GdLWZBrB7q5bOpyPFUWvqV6AsldgTpYSrkzlfean0CXfA5F0iiGoc3cctIw98V0mIRszh04H9uidNKtIa7xXkfAu5bezlTOCNWiNAi8tusB0svOwjNVwvyJlzEM7uLOK5QMJMV5btxFqcfFDcp7+fN4AWXLMtlsFbjCPMi1nksxq9Ko23sqvb0KTsxYwPyODCSrkvVTf2XvgbdwlMwF5UVMj5vIdUSZ8/H30ex9n8i8Cr53nZo/JDeSq3fwVNTELfveQpmI0pB1CfOdP+GJoSwsOiU1SzO5fWICb+zI3ysqlYry8nLOP/98YMYp3HbbbSxevJibb74ZQRDYv38/OTkzDaJPPPEElZWVRKNRFAoF69atO+g8/p3wP8Ip5ObmsnPnTnp7e5mcnDyuTR9Bn5dNz35+SOdzTjDc+hQpGXVIii8naogE4+xOWUdg4ZnHxX7xy3tZ6y06JrZ+Z1QfEztwfCgvBAQEUZzhnZJVxAQZgRhIMuGoErWsI44Pr2QjIPvRyVpUAYlxm57MgIuYIowgWYg5zaAM4Vfa0U1pCAlRREUaRbEx5GCMhLqFFmUtFf4ODAEZbTiCMlnkQHIRWU4nxkAUQyyJxjIv/eFaHJnjRAYz0fvDIJYQEHZxqhzgAfkcKlK7CQzlUOvLo3GyDltMS0OZiyviIe6KXIWn1MjFkd/S3lTFLLeD3YPvI0dryaz7E79cOsU9fR3cEPom4uwMLjRvIzsUZayvgPlj2XzU/ywGxyk4FDGS61/gtjNc/IdkISdiYu3gpSQvziDFFuZa7w0EPGsZ6EnjNH8NgjHGGzsfJL3kfIKeXOa2/x5VbICbz/egSTbzbHcrVsnGaYG7OBB1YFmaTrMe7jCu5+Tpb6JWrmT9x7WQMHO2bgl5XQYCGSFeqfsVU9MDZFefh3P8BARBxRzNfvKf/xZSxM++S+dy6UltdCtcXGqt5qW2/cwa2E/EUsj3Lb/izI7TcUUV1JYlE16ayg69zFQkxgcDR9Ypv2HDhoMXxWazGUEQiMfj/P3vf+dnP/sZo6OjyLJMMBhk48aNAFx//fVkZGSwd+9e1Go1H374IXffffex2sLHDP8jnMJtt92GJEmUl5eTkpJyTJXT/iu2vvAMIZ/30AbLMgONG1AIL2JJ/WIE5v8rouEEe4ynHR/d53icy/46QXbcctSmmjw9fFx0bNJdx4PyQhYgEYsjChLRuAhIyGICQQIpJhPCQEQOIopqYvI0TtGKEAmT0BnQeEQ0Ch/DKiuKkBGV1M+o1oLgtiIqxxlX5WF3KvD7J5l2JBiyJqObTGcsOIVfVY/Wl01Bcg+MVtHvH0bn20eRJsqbpmWsin5MqruMTl8n6c5OtsyN4AtV4863cWLwHczuWQz4GhAV80nufYXu8jjxaBWDeRV8RfsGE91VLA5WsmvsLUTVSZQ1P8mDp0f5USDIc4prCRSVUZkyxsLwBhrqi1npKmW3+x009vmYBROOjb/lP86N8FVdMjVemVOHryZlYSYWa4TrfTcQcJ/BUJ+dU92ziJlCvL3nUdKKLiYeyqB2z6+Ip8a59vRBZifn8seGrQSs81k8eiuCNQ3P/GRCOoF7VA9T4f0DoeCFfPxROjmpuaz11GJ1q+gxtfDmlgcxJKVizbqK8YFsUtIkFrQ+hPndPyCXFfDLr6Zyb1Y9Gbo0Hk+k8N26v6OORajLvpLZk3fywkg66RYtpcuz2JatxiXAfEOc+1W/xNJ7JR5v4xHvmw0bNvDII4+QlpaGQqFg06ZN+P1+gsEggiAgiiI63Yw+usfjYWJiggULFjA1NUVycjJPP/30we7nfxf8j3AKxcXFbN++nUAggCzLXHnllciyjMViOTimpqYGWZbJzc094nnGe7s58OG7h/2ce3yEsY4nSc1sQJC++Nb1g7rPJ11xzG3LE5Pc+3EaEkfP3PqwRv6EROLooPD0s/g4UF7IgoyIjCTFEYgTVX6iwCbHCKMmJiowimEEhYAg6ZiWp9CiI+a1EVC6saqjSAE/w0kaUjR+lEGZmH6MaaMBeSqJuBRDn0gj1zSE1p2CMqJkKi/IW7oTmOM/QJpfjyKRTHvuKJFAGalZbhJDdnS+IJJQzKThAOcE/DylPo2TjJsY6iwnP2BhCoG88b08vSLIjSNTPCCfRXqGkwLvFOnBGjzRARLGcgo9zWxdGGOFVUeQuWwyLEDOiLEu+Gv27q5ldaSG7lgdcZMdZSyLvA/u4VcXqTnHmsKKKQ+njN5E6sIsDEkRbvDfgM91OqODDk5xVRI0u/mw/kls2ZeiSKRQvf5HTFdbuPqEZs63lvCLundocFzE4u7LKSxMp6XcSJ4xzl3xb5IRa2Sg/yvs2aNmcdZsVvTkozKo2OR+hV373yCzfClR+Vx803rKUyeofPnrKAda6T13PpedNchu9TDnW6t4tbOFeX17CNlK+bbpfta1n0wooWBejZ2R+TbqNQmSlCLfMW3jm94LsIV2oFSmsXPHxv/WiXy4KCgowGq1EovFSCQSyLKMXq/nqquu4qSTTgJm0kvNzc1Eo1ESiQRdXV3Isnxc+quOBv8jnMIXhY+ffAxZPrKXupxI0N/wARrlq5iSfcd4ZZ+PRFxmT2I+7lNvPOa2lXua+Gnn0fMjtfv6ea/khGOwIvhK0jEu5ZNlkAVkBBQJgDgJSYUgxQjLUbRCjIhSxBz2E5US2IQgCkWYMUUSumCckSQT+RE37tgkMV0qpQEnvuAoo9YkshRTKEMigqqFJlUNZd4+JH8EQR4iTbagdUQQRwsY9w9j8nVjSo3youFEViXWkzJdTpe/j/TJAzTNirE3shIKRCq8PZQEKzkwsRFdPI+R5A5OV8X4VfRyfCV6zgv/keGuWeQGTfQFBzEnLETF/fQVJ1jtjHCn/yzGC9TcELmTloalnCDMwSMMMSkHSISrKPnobv50kYX5KTbOHhnh1IlvkLQgG01SjBv9N+Jzns7EcCZrJitwmybY3PwSJvslGJQmyt/6Lt0n5XDz7AZ+oC/hlv3v81LGdzi/82TmzMtga7aKMy1Ovum/DKvCyt49pzA2quXMpCWUd9gIO2K8Vn8/k9ODZFVdxOTIfLQ6NQt9b2F/8ceIjlSe+Foh3ymuw6qz8nvBwY/q3kIbDbM96zpmj93Bq2Op5KcZyFiRweY0ibAAZ5um+WX868xy348oqhE4k82bTmTr1gnq6+uPavsoFAqWLZuJhAVBQKFQEA6HUalU7Ns3cz8ZiUQwGo08+eSTZGRkHLwnFb4AqvzDwf85hU/Qsnk9Q63NR23HNdLPZPcTpGa1Ihyr8p1DxIzucxXOtbccc9sFr+5lnbf4qO08oowQF6TPH/g5WJA4tpQXAiIQJy6LqASICTHUMYm4UkWAGIZEjIgyhDEYw6+KkBRwI0txdCoF3tgUKrUF/bSMrEwQV6SgmNQTVsaQxCyK3F68vjFcjhiTVhPq8RwmgtN4LJ20Mpda6QBJbgfBmIbB5DbM3hws2UGE4WQ0Xh9KCuhO6+BsT5h3bcs4W3qF8Z4aVCE/UWU5GV0vsX12FH2wiO7cSi5Rv8hA2ywW+grZNvgmJBbiaHySR5dM8/2+Hq70XIe3ysw3xAeY6ptHpTgHDVHanA1EQouo2PoLXjk/ibQMA1cNdHGm6xas83JRJse4yX8jXudpuEazWD1RxoRhgD2d76C1fIVkjZLiV29nx/mF/LSkhd8K6ZzXuYufWn/KXYO1lC3LZKdN5BZTHeumr0MtruCjD6vRq1I5J76AtHEtfZYOXt/ya4xp6RjSrmRiMJ0cR4y5G+5Au+ttptbM4dqLPbyr72KttZLXurtY3L2DYHIlX9Xfz0UdK5FFJfPmO2ifZaJdKVOiFfil7s+c774GTXwIjWY+rS0XsmmThUgE8uzZ6Lb5SYSPXCbT6/UyPj6OWq3GZrMRjUaJRqPs2LHjYEZDqVTyzDPP8MgjjzA5OVPaLooixcVH/706lvg/pwBEI2E2/+XpY2YvEY/Rf+BtdLrXMVi/YHUlGeo9hcde9zke5+IXRsmNWY7KTI9/iL+Xrjjq5RxrygsBQJAACSmaIK4UEOIScYVERKnAHPATNgng1eG1KFH71PgUQexxP1EpQFgyEXenoJb6GdZYEX0W1FIPvXo7ifFUYlIcjWwnXzeEwW1AF5UI20Wak/NJm0wQ809j9nuI5ET5q/YUVrCBZGc5PcFh7OM7mSqO8XJ0Lak50+jG1MwK5NPmaSPDN8VrS3zcNOHi15xNvmOYVGec8mAt7a7tiOpllLY+x0OnhLh7apI7Yl8jVJ3NFYY30bnSsYSqyQgZ2NH3NvHEaqobHmPjaWYiOUq+2dPEOd7vYJhdgJAS42uBr+GZOg3PeA4njZcyrOmkcXArouZ8srRh8l7/Ia9fXcCzOQM86VeyaHKYq6Sf8ZavCMvSdHpNAj/VPsN87/34/V9h/foUqjPKWTNcjk6hZrPvb+yof43sqhMJBNcSDemYo22g4PlvIikSvHlTNTfV7kep1fGQlM3P6t7GEA2xMesmaoa/xzsTyVTkWNAvd7DZKqCURG4yt/LD4Fdw+N9EpcrA5bqED94vYWxMxmq2cnrqEk7sLUI/IOPZMHDE++dPf/oTU1NTJBIJpqamUCgU2Gw2kpKSqKurAyAWi3H++efz3e9+92CT7QknnMCsWbN44oknjn4THyP8n1MA6t56He/U0Xc4/ldMDXbjGniC1KwuvjDO7U9wPHSfE5NO7vkw5ajvFx4TvcTEoyMFE8JezjuGlBeyPPNlEIgRjyVQihAWVKgTShIqAWVQIKZWIIRB0KoQPFomk/XYvB5UUoBplQVdMM6YRUG6OoDkDzCSosSqC6AJqhFUrTSrZ1PqGSEYChEWG9GFciixdqIcK2UsFGBaW0euLw1NThz1kBm114tGzqEhb4CVHiUHMio5I/YKyolahtwHUAg1hONbqTXHeCRyMYESPWtDfyU4NAdtJIRfnUSet4uPF/i5QCOwRVjHcH4VS5LbKA2M4Bkqp8plZ33n8wjK06nufZmmxUo6ixL8sLOBi4PfR1VdSDw1ztcDX8c9vobAZC6rRovpUTbSOdVAXDibIvU4Ge//ij9c62BnhpfnxpxkxzSs9vyIUW0OnvnJqE0yP+OH5Ed30tNzAQ0HdJzsWMjcjnRi9jivNvyaKfcQGeWXMj44i6RkFQs7HsX8zmMEF1dzy9UCz1iaOdVayWv9/azo3IIvpZar1L/mio5laDVqapZmsLdUz5Aks8IY4deKH7F0+g4UgoDAWjZtXEVjg4hKpWJp1hzOnpxNer8GJIFARohXX78Xz+SR9S7Mnj2bvXv3EgqFyM3NRZZlnE4n7733HoIg4HA4uOiiixgdHeXCCy88mDKaM2cOPp+PCy44DoUiR4j/9U4h4J5m1+svHTf78WiE/gOvYzS/jd4c/PwHjiFmdJ/vPaY2FftauLf96O4XBgOjvFa28qjXcuaxpLwQACGOIMgkBAE5rkQkCgkdguQjHJbQokNORNAkdIixCGq1GtmdhFflxyGFcIfHCJhSKfK5cMemkLV2yoNOfN5xnPYYHqsaaSyfYNCHO8vFh4YlVHo6MQbimMMSk8VhXlKfwgnCZmzOCnqD4yRPbEWRHeEP8XVU2tvx9uSTHzDjQk9O/7u8tyiCw5dNW24Vl6qeobd1NrN9Dhom92KMpxNQ7CNeIGAPZvKGfgWmTD8nh16hvamSJa4C1ve/gMJ4BhVTWxgp8LO+IsA9nY1cHfsBVJQQTUvwjeDXmR47mbArnxUjRbQLexj09xGOnEal0Erq7qe4+yodnnQlT3c2EddXs3D4myTlZtFSbmSexc93AleTIqrZueMkfNMWzlEvJnvAyKCtl79tuR+zIxuN9XKcIymUp01R+erNqMa62HHlHK5Y3oxfB/ep8vhl3duYI0Hez/wGswZvZYPTSm1pMpElaezQg0MlcqfxXa7zXIQp3IhGM5+W5q+waZOZaBQqM0u4ILGE0g4LUlwgni6wJfA33tzyIK6pYXa+9upRbSNRFMnJycFut5ORkYFGo0GWZSYmJnj11VeRJInTTjvtoAjPAw88gCAIbN68GZjpgL7mmmvIy8tDq9VSUlJyUMLzi8K/N4frF4BtLz333zqXjwcmettQavpILz6N8YHc4z7fP9A2aiJ+0X1k/fW7CIlj00+R+9oeLripnBdNR/5S/oPs5CxJjSp+5N3JM5QXq474+c9CJIGIMiGDnCCOCh0RPAkLshqUnhgxzMQYxyPm4JOHkAUzGj+MZZgp8TkJKCMIkg0mVIiqfqZU+WSPxwhIblSCg0L1EAZfMrHEBFqVFYPdj9RZzrB/EiX1FAet1BUo0Y/oUHrd6OPp7C7byXx3Cm/lZbDW92f03jNonNqBNV7ExupxbnB7+YH4dSrSe9AOGKkMVLNn9D1E9XIc7X/ioXUxfj7i5fLYDSQqFHwt/DMO7DuBk/1V7Jz4O0rrCvLcHQSMfTw318Pvuzr5ZuK7hItLCdplvhX6BtNjq4m7C1k+nEdDfAtuIUQgcDKzw1vQj+3i2xdFqErO5O79H7HHcQWXdq1k9tx0tlkFrjN3cML095HE0/jwAytF6XksGspFpVOxLfA3Bjqbya4+lfGBUvQmJQv9b6D961vEq0r4ycleGlT7WWUt50fte0nyNeBJW8BNnivZ2mnGbtZgqUlmm0ZGIchcbBrlZM9/oAw7UakyGBtbSWPDTJe6IyWdRZEirJ2fsCAkK2n0bKZp20wPgcZgJDV/FV3785g96CU589h04RsMhoOpoltvvZV9+/bx6qufOh5BEDjxxBO57LLL6O/vR6lUkpmZyYsvvkhycjLbtm3j+uuvJz09/QuLJv5XRwpTQwM0fPz+FzZfNBSi/8CrmG0foDFEvrB5O0e09H7l/mOn+5xIcP5fhiiIHbn4z2hwgpfKVhzVMo4l5YUsJ0gAoiwiEicqSCijERRyjLBGjUCIIHrCYhyVKCKIQabFJALxaQwqHbLTglqaYERjQ+03ENOMEtar0PiMSMoOmjVVFLk8TPs9hLUH6BdmUxtvxOozoInqGC728XfFGpYqtmGbLKc/6MQ0vZksa4Q/KNex0rQRZ+8sVH4vCakCnett7I4Yfw5fQKREw2r/O+gm5+DydRHX1lLS9Qq/OznIT8ZGuSn4VXzVFr4q/5KupgUsj9TS7ttGwlRJRtSPwr+LhxZP8XBfFz8Uvo0zvxK/A74Z+ibO4RPBU8zSkQL2hj7EqwC/bwVzp95EGWjg+rVjnGLL4t4DH/OX1Nu5tv9ESpdmsD9Z4k7Dm6z0/ASv5yI2bkxiSeYcTujOgySZvzX/hinfMPbiKxgfKCPHkWDulh+h3fc+bRfO59IzuunVB7hHU8iDde9iiwR4I/NWZvV/gx1uC/NmpTG2IIl6jUyNXuY+9e84ffprqAkgcNYnqSIBo97AasdCTh0swzqmRDAoGLT18OKee2hq24hCpSK7ajVKw9WMDxQQj4k0vXd0VPkbNmygsHCGVFKtViNJEmazmbVr13LLLTNFIKIoctZZZ5Gfn89jjz3G1NQUP/jBD1Aqldx1113MmzePvLw8LrnkEq688kpefPHFo93ih4z/1ZHC9pf/QuILpM/4B8a6GlDrukktOIOJwWOrOfDP0DOsJHbhbyh8+TaEyNEzycpOFz99v5TLTp0mJhzZhe+fYmOsU+nQRo7sMl6Q41ye1se9fcegekMQECQZRJFoPI4kJRAjoJXDxNHik30YhCgRhZKkuI+oBMlSlKjoxillkudXM2iIk6kMEfZ7Gc5LpjThJOgVcWZEidokhM5shNA07hJot2VTNu5jKjCBGGuhIGFkd7YRy4gKyevGFE1mZ9V2Sn0lxErV5E9NkOmbTZP/ADljbv62NMS5bjsv5VZzqfQEQy3zmOfXUx+Pkj09wHvznFyfCPK72NW4KvO4Vv0Uvu4yZkfnMh3pwaexYovqsfQ+zY/X+nlseIT7xZsZdszCmyFwS+ibOIdWofKXsmAkm+3uN8BqJ+ipZV7PkwQyo3xzXjff0+RydtsOfmS6mw9cBViWJuM0CNwj/wJ7eIjWjvOYdulYa60lpUfNcHI/m7c+j71wFgH/crwuFbP1jViffxjys3nk8mw2aOtYYinlru5G0tzNOO1LudZ1GXWdRvLSDCQqLGxWypglkZv0u6l134uAjEazgPp9JUxMyEiSxPzsCsp7k1FMCQhKEVeykw11zxIO+RFEkcyypfi8NYwPqgCwJCkpcm/FcN/TBGY/h6722MjUJicno9VqWb58OSkpKQiCQCKR4PXXX6eoqAiPxwOAzzdTyv7YY4/xpz/9ib6+PoLBIJFIhJqammOylkPB/9pIwTk8SPv2LV/a/OGAn4GGv2JN2YBa98VEDQPDAm3HUPdZ2t/Kz9tqjvj5ybCTF0qXH9UaVqmOvBv1s5CR4zNXC3FJQCWHicRVaGJ+lAktYUmJORYmogxi9YXxa8LYAy6QYkhKDbGQC7cthTyPE5/Cj1KZjm1SJEgQUZFBoTCEJiARlQbRRXIoNXRgmMpEDisZzp9gk7iSxeqdWCbLGQh5UAU2MVsd4TnTaZyueIP40FyGXA0Y5Hyaszu4LOjn19IF1KY1kei3M9dfQt3EZgzxXNzavdgzYSi6jJacWk6xbcM2pSLdPwd1NMhgxIk2lotj/+PcdbqPBycmeFK6gVb7HKazRG6J3IJzcCXaQDkLxnLYPPUy2HIJB+Ywp/4BRsoT3LKwgwdI5ozhHi7hp+wWy/DMSybdGuE/IjfiIMH2bSsRoumcE5lPakDPruh7bNv3ItnVZzE9dSImk4ZFXb/H+vYjjJ4xj6svmGS3cYIf64p5bN/7pIZ8vOT4DrW9X6U5YGbePAcds0y0KWVOM/m4j1uY474HtSoDl/MSPni/mIkJmWJHPhcoT6C6PQVFVCCcEeP9yad5b9vvCYf82ItqSMq7nsmR+YR8KgxmJbXaRmb/7asYP3wKQZbpe+OFo9pN/zlaUCgUnHXWWYRCIWpraxFFEVEUkSQJn89HaWkpAE899RQajYabbrqJhoYGli9fTn19PVdddRWRyBeXWfhf6xR2vvbiETeqHUuMtNcR8TxNcsYX0+o+PCLTctZ9x0z3Ofv1PXzFXXrEzz8ZHsSvPvL8bd6xorwQhJm+ElkmLkqoEnFkRNRRGZ+sI6oSMPtCBC0gTGtx2zSoPGp86gBZcQ9e0Y1SNBOfTEajGGNYl4I4bUOp6qZdU0HeVByXb5JgygCbDAspnR4n7vehjPSTrlYzlJ5G6piA6HFjDRupq/bQE1pMcs40ikEL+UETHiGJpNG3iBfEeCW8jkSxiiWenWS45tDh3I6oWIS99zk+mhdmmVPLs7pTyM4cZ66vgdhILVlBHQ1Te5HiteTvepCfnBPhFx43r0uXsydpAa4ciVsj38Y5sBxjsJJ5E9msH3keRUoViXA5NVvuZv8KI7+q7ucpr0ilH1ZN/5CIvZCWCiOnWYe40XsZmvh8PvyghNKkCk4eLEVhEnmj7SGmfMMk513FxGABpWkuKv/2DVS+IV78ajnfqNpHhSWXVycDnNv0IROOVZyRuJ/bu2soz7FgXO5gs00gSytxj/6vM8I7iVHgLDZuWEljo0iKLZm1ycs4oTsP/bSIbJfYFX+Pv225H6dziOSsQtJLr2Z6chU+pw6dQcEscxfz3vkGlnceRYjHSFQV89LXKrgg7232jh07mvZIJMKZZ57JG2+8QSKRQK1WYzabOemkk1CpZiKV0047jczMTERRxGazsXDhQgoLC79wJtX/lU5hemyU1q0bv+xlHETQ62Gw8TmS0rai0hx5A82hYmw0TuOx0n1OJDj3L4MUxZKO6HFXxM0zpUfOiaTwDLDkWFBeJGQSCMiAKMZIxJQIYoxYVIGEAlnlI+5XE9dokWMJNAoNSo+KyVQTlukoaqWPMXUyOr/ImFXGofQjez1MpkSRrTJMpCEmZKImK9ZUN9JIKdPBIBP2Tprii1mg24tpvJyhkJ94bDOLSfB+yhJOib6HfWoWLa792D1e3lrkZs50EnXZs7hYeBpn93y0fh9+KY+i3r/zx9VBbhtzclv0SuQiWBd8iv62OdR4HWwfegeRFZTufoBfnpfgjnCQLcJ5bDQvwZUncXv0dqb6T8ASnEXtVCYfDPwZtX0hUiyXyo9/xPvn2Hi1ZIrnRsZQKYtZNPR17NV57M1Vc6tpM2d4v4/bdQE7dqSyJm0xtd12JpJGeGXrL7Bml5CQvkIsYmVB6D0cf/0hgUXlfO3KCG9Z+/i+oYw/1n+EPeTj6fQ7mNd9LYMxCzWLM6gr1TOhhGvMPdwVuoQc34toNAtpbrqQzZtMKBVaVmTO48zRalIHVQhWJe36/by4/R56+uoxpaaTWXkJPt9aXGMW1FqJqqRh5q+/naTXf40QCZGoKOLVr1bylTO6eck0QzuxufXlo9pS/zla2LRpEzt37kSSJNLS0giHwwQCAWw2G2VlZQB8/PHHzJ49G51Ox6mnnsp3vvMdbrrpJnbv3n1U6zhc/NvcKaxYsYKampovRKJu1+svfSl3CZ+Hodad6C0dJGWcwdTwsVUs+6+Y/ET3uWrTz5DGj45gUHZN85P3SrjsNNcR3S88HezlIq0Fc3D6iOa/MKmDra6jEx2SpBl9ZhKQUCUQ4xIRwY8qocYUD+LWS+BNoI0biSWmCQnJRBI+jJKWxLSVaU0XWYoQrsgkUYOdgmkPPjkOqgzKEgMoAunElc1MCHOYHW7F4C0lEfERtylpTSrgnLFtCN5prCEFTdU+vIFTqExvw99WQrLPgyiUMK59hXMSIe5TfoXFqXsJtuVS689mn6+OTLeSN+eN842Am++Hv4Z/toXb4r+ko3ERqwLFbB55DVG1hor6x3jkHJkbhSgd8sn8Xb8cZ77Ed6LfYaJ3KSnhGiqmU3mv9wl0aSehS1go+OBOnrooianMGE+1NrA3+RK+1r+cvMXpdJkF7pEeITvUQVPrOqIhG+coqjC51OyJv09v/QGyq85nfDCLbEeC/HfvRIoFWH9tLY+kHGC2uZCfDvaQ3fkeIxlruHz0Ajp6tMwuSaYtW8MOUWaxIcYlkV9imd6LSpXF6Mg6mppmIruarHKqB9NQdYoIWolRwwCb9/6FeDyGzmQhOfdEJgazmRwSUKpFCs3jpL33EKJ7pqNYLivk9ZVanje3HNwLyyylXD85Ts36R6DgPMicc1R7S5ZlWlpacDgcB5vbZFkmHA6zY8cOmppmWH8jkQipqamcd955ByuUmpub+epXv8o777xzVGs4HPyvixTinjAVrnmsWHAZKqX2y17Of4N/2vmpkI/y+Dqug7rPmUdPjy0daOOXrTVH9Kw36uOpkiVHPPcxobxIxBAlCUgQE5QgJ5BlkaAIpqAPVDpEOYBXsBEWg8iCjnBiignJjioQZDLFRua0G1EZxKVOR55MRaEcpFNTQtqEDp9vEldmiJ4kO4aRLMYCTtymA0xGapljrMc0XsFIMIxf2sb8sJbmrGLme/ZR7CmkN+gifXQDQ9UR3g+fiaJYZJazjWL3bPZPbsJAEROG3cxOivB6+DyGy/O5XvUYQ82zWRaYxe6xtxE1J1LR+jzPnRLlXK2MO7qI51WrcRYquT32AyZ6FmMPz6bCk8q7nU+gSTmFJDQUbPw5912uQ5Gl5eHmHbxg/hbfmzgJ89J0EskJfpK4lZy4jy2bl2GWCjhjahY6jYK/dz7CVGgMS+ZVOMdzmG1oo/D5m4nn2fjh9Toet7fxbWM5f96/gcyAjz/Y72RR1xV4FFbKlmexPVeNpBb4gXEDX/NeiC3aBPJZbNywgqYmgey0TM43nMDcjnRUUQmfw8+bfY+yYdcziEol2dWnIWiuYHwgB1ESKbZ7WFz3M9JfvBPRPYlcWsAbN1Vz4dm9PG9uQUDgREs5fw0beWTf+9QM1AMwvu/vR7WtNmzYQHp6OolEAqPRiCzLyLLME088gd1uZ8+ePUSjUaxWK9dffz01NTU8+eSTTE9PU1VVxYknnsi999571NxMh4N/m0jhi4J3yzCyK0oaDtYV38qUaZxtB17G73d92Uv7DAabt2BMaseadjquMetxm8ftjFI353ZmK3+LsufoLm0zX9/NpelVPGs5fA6p5/xdXKZPwuqfOuxnZygvriKcOPIzTiIhk5BnmFJVsoKoHAOFRDgWQR9ToI0b8clT6IkSUUikyV7iSrAoRJyMo5PMJMaTiKi6UWnyUHgiDKWGUFjiSM1W4ooelORQru3CMJ2OHBnHXyCw01TFeWNbkL3T2IJR2mcF2BD8CieYtxBrnMfIdCu2sI2PZ49y8rSFe3JquFp+kvjACqanO0BRS8rQS3xwaoSFk2XsyF7IOstbxDozqA3Mod25lbhmAaVd7/HOCX4WJ8mofeX8TjodV4mK78Z/wHj3QrIicyjwW3m34wnUSWfiSPhIq3uW718cZ02SlRtad/Fd7V00xIrxzDNxgtXFue6bEeKr+Xi7haXptRT1WJhMHuWjbU+RWb4M53gtVoWKmp7fo+5v4sAl8/hp1j4qzHm8OOIlv/Nd+jPP4PKhdfS7NMyrTmOvXcGAkOA88xSne3+IyjOORr2QffuKmZyUsZjMLNJWkNE3c6CLOWBr50uMdnQhSgqyKlfgcVUxPqBEFAUKHEEyNv8BxYczKSG5JJ+3Vhp52jpzOhcFkTWWcq4f6qKwZ4YhWRYkhh2r+aXvFN7YlsqHC30UpBx9cYbJZEKSJEwmE4WFhcRin6aK9Xo9BQUFXHfddQc/+0eV0heNL8Up+P1+brrpJl599VWMRiO33XbbFzJvIhTDv3Pk4M9yIIYtYOPMrJvwJLnZ1vQK09PHjjrhaOGdGsfr/DNZFSuZGqsmETs+gZ3PHWVv5c3Uqv6Equ0o8peyzFl/6WPPtcm0Kg9PyzoQC/B48UJu2/fWYU8rhL2cnzbCsyNHU94rI8cAZRwENQgJRMIkVAJiUMQn6JFUXmyRAE5diExPhBFdmEz/BLIyzIQqn2K/j/YsK6UBF9OJEDFNFhWRYWL+JBKGVvboz+W0yTZc/mmi6n0kgmXUZDdiOFDJeGiCuG4XJb5UdheYyRj1keUz0pEQ0MXe5QR1mAe5iBVJW/C1lFLp19OUCJLf/yHPrA5wy6TIt7XrqHZ0kDHqJcm9Aqe3Db8qn6Kh/eyqniArAzLdWdzFOtylar4T/w/GuxaSE55DbtDE+51PozSfQ0G4H+PQB3zjXDdf16ZxSn8X58V/imDNpy1bzfXmehZ7f8P45Dr6+0ysNc0meUxLHR/Ru/8AmRUXMTlspzRtmvRX70bITee+r9nZq23ga4ZKrml4H0GXwoOpP+WBznxyU/VkL7KxWZmgXAfX8Cfs0++gVmUxMn4pTU0CSqWCxVmVFPdYUcQESFFQ71xP29ZtIAg4SucRCs1jYkgDAuQ4YmTv+jPKjz9RUCzK451VJp60zTgDhaDgdEsp1w60kds9I6cpS2o6HGu5c3IV27vMB3fGSw3DfG/VkZc9a7VaRFGktbWVeDyO0+k8yKj6DwwODnLLLbdQV1fH008fOx62I8GX4hRuv/121q9fz2uvvYbdbucHP/gBe/fuPe61uP5do8jh/56SkcNxjMMG1qReRbAyyI721xkf7zmuazlkyDIDjR9jTmtFk3Ia7gnTcZkm4I2xp/Ba5qg0qBs2H7EdedrNj99N4/IzXESEw0t//dXbzhUmOymew3fMZxraeJYjdwqC8Mkls5AgLitBSBBXAPE4QkJGIQvElWEMbh1DKUro1+LL0mKfNOFU9ZMtBpmSx1GpkpHGjSiV/fRp57BszEM47MWVacGWPI2iKZtoyIWnKMRG8zzOHd9OwqvH4vcyWBPm+cRa1ijfxzS2iE5vF+lT0+xYEibhOgVNVYL80QlyPKtomt5Lus/Am/OG+YbXy/fit2MsDrLKu5HwyGrUfg8DspYs9yTdmV3IRQnmTlm4PXER3koN30ncyVjnPArD83CEdXzY/ReU+nMo89RBvJFvnjbGPXEdxdMRVji/T0Z1Ls0pEj9SP09RcB8Hms5BIzg4O1iEUqngrd4/oDKbMKReScBjYGHkXXQvvcHAmXP4Qel+cowZvDChoaTrbboy13Hp4Fqc0xrmzbOzwyqgVsh83dDIQvfdSIKShHwWGzaYiMWgLLOIOWOZaDpEBJOCHrGZnbv/BrJMal45gnIJzrGZCrbMdMhp+Avq9Z+Umxfm8t6JFp6wNiILoBSVnG0u5ZreBjL+4QzUJvalreMHw0tp7ZgRxFEpRKqKkxh2aHhMCnJdJEaS6shel5s3b+a6667jmWeewWq1smrVKkKhEBs3bmTp0qW8++676PV6BEGgra2NaDT6Gf35LxpfuFPw+Xw8/vjjPP3006xePaMv/NRTT5GZmXlc55XjCXxbh/71oGgC7ZCalcYLiRTH2Nv7Lv2Dx6oO/ujgHhvGM/EEWRUnMTFSjhw/9lHDP3Sf5yo1aOo+OGI7YmM7v8yfz7cq6g5v/niYPxTM4Y4jiBYqQ3s4OsoLAZEYUYWEJMtAmLikBtmHnxjWaIhpQ5TohAKtbIJ4EI1gQu0VmMixUOr0EVJ6mdTkU+qNMmoNoDbFUPdbCKh24haqqA70k/DnEJOa0ESLqLC1YzhQxmTYiS+pDrOvCFOZD2VvGiqPG03cQV3hbpZ5TPwyu5arY0+jHVlN99Re9JQyZHyJE3UBfuO5ikCNiesiDzPReRLVAR37A/2khJLxqtbTUx3jwnElN8euwFet43b5TsY65lIcnkdKRMmmvldRaM6hcvQDplPH+MWcUX7vjJBQlbFqZB2OBQ4mrfCz+J2kRM1s3rSY6tRKqnpScCVP8dH2J8isXMXkcCWZdoH8936MQgNPfbWId40HuNpUzo0H3kfQp/GLlHt5tDOHsmwz8WITm6UEJ5lCnB/8CYbpNjTqRZ+kihKkJ6exKF6CrVOJoBaZtE+wac9zRKJBrOnZ6GwrDhZk2O0S+R2votnwCUNBfg4fnGTjT7YGZGEQjaTmXGMxV3XvI61rZn/F9WlstJ3HD/rnMdr+SQObTklxaRJNyQq2CjIzlQfw1ugAl2fnHfHu+vWvf80bb7zB+Pg4r7zyCvfffz8TExMHifFEUcTr9bJr1y6+8pWvHCxTHRgY4IQTTmD37t0kJydzzjnncO+996LX6494LZ+HL/yiuauri0gkwqJFiw5+ZrPZKCkpOa7zBhuniLsPsQEkIaMaklikOp3zlnyPooIFx3Vth4oZIZ/30ahew5TkPy5zHNR9XrT2qOw43tzNFa6Kw37uFU8rI9asw35ON9lwVJQXMiAjkEiIKOMR4hKoYwqiOjUBZQJTwE9Mq0eR8OMjlTBTuKU0phPjaCUzwpSNcXOcYtw4IyNE9FlUB8bweyfxproYSk5GO5RD0OfFlePiQ8tiyiYniXs9mP3jaDLjvGJdzcrQVnJcxQyGgmi8H1FiC/M79UWcZP0Yf9cstB4vEbEI6/hrTFeEaQqcRHdpEdeLv2eoZSG1gSz2Te3GnMhD6X2bzQujXDYW5RuRa/FV67mdnzDePoey0AJsYdgx9C6ici2zul+mO3+UxxZO8czwKN3KNVwx8RV0SxzYUoN8P3Qd+kAhmzeVcKJlMTUj6TQK29ja+BKOsstwjdUwS99F0fNfx1vr4PpLfTTbQzwT1vP1+rfpyljHIvfPeHaigNrFGdSX6kno4C7Dm1zlvoQkAkxNXsoHHxQSDGg5ybGA04YqsI0pCWVEeHf0ST7c/idURj1ZVRcSDJ3L1HAyyakKFkY/pPyFG9HsfR/ys/noutlceMEQf0xqQKvUcZWlindHp/nevrdIcw8TNefxasbtVLvv4+qOJYyGVWTadMxZlMH00lQ2pUhMCTJqQeBMk4cHNI+Q338JicSRl4sbjUbKyspIT08HYP78+TQ0NNDd3Q1AVlYW3/zmN9Fqtezfv5/ly5fzzDPP8OKLL7Ju3ToOHDjAX//6V7Zs2cLXv/71I17HoeALjxSOVvbuSOHfNfL5g/4rZJCGZWpZwexFJ9IyvYOGlo+P/eIOE67hPiTF42SUr2F8sHhGYPgYIhpOsNtwKnOWazFs/OuRGZFlzni+hz3XpdKkOnQ64mgiyu/zqvmx6/C47Y+W8mJGYgdUSIhxEDQiEVmBKq4CZZBwSIk2rsXDBHopRkgpkiYHEJVhXMpsssKTxDKTMI8JhFVTDOhqyBoNEJJdxFU5VCq60XodhMVB9HI2hSm9aBvLmA5N43I0Ew/Ooyy3E6GlilF3FyneBHvnepC8qzBVhUgbjFDszaEx3EPu0F5eOzHIWpedX2ScwEWGF3G2lLHIX8buiY/QqRZh6/8zz58u852xMNdHvoW3xsTt/JTx9tlUBBegjYSom9iJKJ5OVeMf2LwcGgqj/LmjnSd0X+et0Gy880ycY+3iJO89jI6egXM8hXViBdqwinf6/4Q6KQm1+TLkmI6F/X9CPd7B2zfM4qmkBi43V/L1hg8R9en82PZLnurIoKY4ic4cLbsluMw0xInuO1BFYsQTM6kiWZaYm1VORX8KSqdAIl1kR/+b9G9pRK03kF29lsnhfCYGRaxJCgpdWzC++MzM3z83i/UnpfD7lAbiDGNUGrhYl8dl7dswB2aIGwPJVTynOIef9xUTH5s5D5dmmZHyjOzTJOj85GuUphI5S9vBfN/v0LpnyrXDwPj4x9jtJx/R/tq3bx/j4+MkEgksFgs33ngjgiAcbExrbm5GEASeeuopLrjgAlasWME999zDxRdfzLe+9S0AioqK+O1vf8vy5ct59NFH0Wg0R7SWz8MX7hQKCwtRKpXs2LGD7OxsAFwuF+3t7SxffnSUB/8Msckg4e6ja3ASRuOUM4/y+YvoCu1nT8NbMyT8XxLisRj9B94iKasVQXEyvuljW14bjybYo1jOnJO0GD/88xHZkD0e/uOdVK5YKxE+jPuF16dbuCYpl6yp3sOab5WqkXs5MqeQkAUEQBYF4lEBKSYSkwSQDchKJ+qADr9sQVRPYw/4GdeHcXhCuBQ+shI+wqILlzKXUrfIqMWPQR9G49UR0Wyj2XA6J42NMO2dwpPez1bjRZw5VUfcI6ELDiDli7xoncuFznewe+YxEFfRm/x3FgeMPJA9hyuDfyFpfA3Nrn2k+Yy8NXeQqz0Jvq+9mCX2Xai6DFR4atk38TEq5RKyOp/k8bPj/HA8wA3RW/HVWLhNvIfx1tlUBRYgRqZpdLciCquprH+Ql04TELLVPNjZwm3iDxjWl9Obq+ab+repDm1mX8Na0jSFnD6ZiTfJzTu7/nEgKaEkzYPj1e8TqS3itrUKZJOTP3us1NS/TUPmxVzWezJqrZ6KE1LYoZWZo49zZfw32Ka3olEvZt++IiYnExSk5zLPnYuhQ0KwKWkWd3Bg24dIyhnCuunJMsYHFBgtSopCezG/9ieERBwhJ5MNJ6XyWGoDcUawqsxcqsnioratGEMzVXDT9sU8EjuTPwzmAKAQBWYXJ+HM0FKvTDATJwrU6GVOEzdQ6v0TUniGH0wQlKhUC+nrzWWgf5grrzyi7QXMXDj/Q3Gtra2NRYsWHaTM1ul0NDU1sWPHDtLS0igtLWXv3r10dnby3HPPHbQhyzKJRIKenp6DTW/HGl+4UzAYDFxzzTXcfvvtJCUlkZaWxh133IEoHr9Mlm/X6LHTuJmIUUAFhbNrGBDa2VH/KvH48e9C/meYGuhCoXocR+mpjA3kIxylAM5/RiIus0ecx+zTtFjefvSIbIjNndyXP4+bq/Yd8jMxOcYjOZXce5hOYYbyYt3hLfATyIKAJCQQBBCJ4RM0GOQQ7piNhE6LfzqMmShhvQ+F00LIoUHs0zOZoafYFcWt8pKilJkOjxDMyKLa68TvExjLN2A1u1AP2AjTg1KdTlbqKJrGEjxBDxO5HYxFV7PUsh1tw1x6fIMkTXchz43yh/hVnGp5n0TTfNzOTrSJInotL7NWEeDuyNfJLJ6idLwP+9RKOie3gWIh+e1P84ezovzHhI+vRm7FW5PEreLPGW+rpsa/gGhojK7gKEqWUrr3fh4+K87sVBOX9vVxfvhHqEqKGLRL/ES4D0dIyeYti1iUVEvhiI1GcSs9LY2kFlyBz5XEgtgHGF5/i10XVXKfYz9fsVRxS9PHSPoMvme5j5c67cypTKUuXYlXKXC7bgez3L9Co85maOJSWloEkiwWzkwpJ61HjaBXMJTczda9LyLLMpnli/H7ZjM+qEZnVFCuasHy9qOIkTBCVgabTrbzaEoDMWGUZLWNK1V2zm/djC7SgCyIjGSs4Ve+U3m1NxUAvVqivDSZzlQl28WZ+wKVILDa6GVV9HnsvvcO7geVKp1waD4HGiy43f8oC+1lcnKS5OTDbyz9hwjP9ddfz4YNG+jq6mL79u3ATJHD7Nmz2bp1K/X19QcPx4lEghtuuIFvfOMb/83ePw7UxwOC/CXkc3w+32dKUr/97W/z1ltvHZeOZjmWYOTeXST80WNq9x8QjArGtANs3fcykSNk+zxWSM0tIyavJOA5xmGlADXGTmxvPHDEJt67oYbHbYd+aS8KIq/5lOSPdxzWPJdoH2Gry3KYq4NCRYBr8sdR67QoojFCOgO2sAefxkpc5YeJKKkaFV3mAPn9RvqzFWR2hxgqkMnvsdCY2UdJxEp4bIy9ReUsHowR8HTTm2OnVDtNvMmC37CF7enncpK6EUWLnZinHYqcvJF5LqdO1WPpSSXojtFY8iGq8CJ6KrJY3NdO3kghnd4wyc73GV/oZp9zLb1VBVwTeR6pfQ3RiR6csWyKO17nT6dN8z2vl1vDtzBVY+dbil8x2VrJbN98fP4+hmMBNIlSCvY+xE/PCnKJTsd8j8C68WswzslCkxzl2uDtiIH5NDelsVqswYKGD9v+jDo5Db9vGak2BQUf3IuQquXnpwQZNyf4SVBgft8+6jIu4/KeVSRbTUhVVlqUMmea3Jzl/xG6hJN4bA07dhhQSBrmp1RS2G1ClCQ8KW7W1z1LKOjBXjiLuLwQr1OPRidRpOkj6Z2HEIM+hEwHW1en87u0BmJCArs2havEJM5t3YQ6FkKW1HQ5zuDHUyexxTlTVppm0pBVaqPeLOD75OyZohRZq+tmof936KL/qDQU0GjmMDJSQlOjeDARIAgC+ek5lMQzKMotwHpq/mHvr3+gvb2dSy+99L9RV4iiSCKRQKFQoNFoiEajaDQa3G43LpfroM7zF4EvxSl8kQg0TOJ8ruXzBx4lBJ2E0zTB1i+5EU6p0ZJedDrjg8f+JFFlGyTl1SNTchOMRn5yvZGGw7hfWG2t4Nd1h9fe/2bGrdzcdfiUF0VKP1fnT6LVKiEmI2hVqAOgUMVwao1I3gmsYROTqQqsA5MMFuST2dVOZ2ExhW39DBfoKe6zMqDfyXRuDVX7JMZNG6nPX8OqjjChyQk8eX1059SwpEmNb8zDeNZ6mtTnM9+xh9zm+QxMTZJgA/YMJY84ruJS8VXS20+i3dlJ9mgvG5b3k+mcxSuFJ3KD+nGiLatIcoboD6kp6tzA0yeO8a2Qh++Hv8nErAxuVtzHVGsFtd75THnbmESJKZ6Oo/lx7jzdy/fjMtp4MTdOrCMxJ4X5SaOc7fsJQwMnE/NmsWy8kJDZywd7n8RRcirO0QIqdR3Y3votnefUcmfBftbayrm9aROSIYvvxq7nnSk7s2rS2GETydEJXCc8Q6b/NdTqxeyrK8TphKrMUmYNpaMOCkQcCba0vsTEZC9JWQWo9CfgGrOiVIsUmcZIfe8hRM8UgsPO9jWZ/C6tgYgQJ1Nn5xpMnNW6CWU8gqw2sj/1HL4/cgItvpmy0gK7EUOhmb26BLFPqnyqdHC6YjPlnt8jyTPiWgqFBTmxmObmFMbHP20WMxlNVFgKyB8zo/VIAIgGJenfX4AgHV1EbjAY8Pv9WCwWWlpa8Hq9FBfPpD4fe+wxli1bxnXXXce2bdu49NJL+fa3v41er6elpYUPPviAhx566Kjm/1f4f76jOVD3xbCPyoE41oCNM7NuxJPk/aQR7ggut48S0VCQ/oaXsRdWEw4tI+hXHzPbDc5Myi/4MfYXf3zYz8peLz98K5UrzlYQEg4t3fahq5k2ezklo4feIb1ArgeOhAdJRhYExIRMXCGhkmMz6muRBDGNDlkbRekPExCsqJQuHBE3AWWcrLgHWRkkrMrGHxohkJFJmcuNOxrDY8phVqIffEnE9A00q09h8XQnUXcaJJpJEdNQZscxdOcy4R7A5hlnpDbMU4lLOc34HsrGRfRPNZHq1/H+nH5Oc1u4N+MkLtY+h7tlLmVeNS2RIPkDdby0bIKvRjzcGf4qE9UOblb8mqnWSuZ65jPi3o9LSiIlrMY8/Cx3nu3nVy4PzcrTeTi0Et8CE1eYtjI/9A5760+hSF9J1Xgareymt7MRW/ZlRIM2Fg4+jjo4xGNfz6XB2seDETtL699ne8ZVXNO9jJx0G7YVRnYr4WpjO0vcP0anSmNo4jJaWiAr1cEqQyHmDgWkKtgbeJ/OLbsxpaSTWXkxk0N2QmGRErsL+4cPI00OITjs7Fw3l9/aG4gIk+TpM7g2ruW0lk0oEjESuhQ2Jp3H9wYWMNKhQhCgusBGIFtHo2qmpkwpiJxi9HFi7EUc/k9pKzSaCpxTVezfr2SmuTiBKIoUpudSHHGQNqhCmPhPL/8UBUNyN5H9SnJrj44PyWq14vf70Wq1PP300zzyyCPATFRis9nQ6XRs27YNgGeffZZnn30WhUJBeXk5F1544VHN/Xn4t4oUNm/ezKmnnvpPf/8PEYpDRdwXYeSeXZD4Ev6LCoFgWphdHW8wOvbFUt/+A2q9gZT8M5gcdBxTuyV2DxkvfP+Inp04bR5fm3Xo9wsrLGU8tO+9zx/4CWSVgVLfY4dNeVGk9HFVwQQ6pY64Ooo+piUWi6KKKoialHi1PgyDMbAn4wn1kx3IpN02TJHbQb/US7ohjcTgOHVFZSzqg3BwJzuLF7Jsyk94wIczv5PezPksbVEQHHUzkb+JHdpLOdW4mbTWGiZdPnoy30PBfPor0pnbNUHKkAFnQMuY7m/MTQrxc+2tnJC/CUurhprpcvZ72ske8/BhWR3nqD086L+W3uoCvqb6La7WEua659Pv3I1HkUWGz0ciuonHlkzz4NAAT0nXst04j958Dbco/0hOJMyunfks183BHjLwUdczqFMcuJ0LyE8K4vjb3UyuLOX7VS0sTyriey3bUOqzuTV8HVu9aRTXprHNILPUFOOi8L1Yox3EYmvYsd2AXmdikaGCrB4dgllJl7yf3fvfRGuykPIJYZ0giOSnBXBsegzFUCeCPZVdJ2fzW0cDYSFOkSGb6yMSJ7dvRpQTRM25vGU4j//oq8YbU6BRilSWJDNgV9EnzXzfk5UiZ+h6Wex/FH10Rk1NFHUopEV0dGbQ3/fpe8FqtlJhyiN32IzG/+neEQwKPKZpDvSuZ3Bo5nBStGAxa2/9wWHtr/+KFStWIMsy+/fvJz09nW984xt89atf5YorruCFF17gvffeY2pqinPPPZd169bx8MMPo9VqD2o7H0/8W0UKc+fOPabET4H6iS/HIQDEZLRDKpYbzidSFGdv7ztfeCNc2O9jsOEFHMVz8PkWEwkemy7JtlET8YvvI+uFw9d9Tnl7NzdkzOb3yQ2HNH7DdAsNmdVUDR44pPFCxMcF9hGeGT687mZRkGcqkGIQ10gIcZGoGENAQh/2E1QYCWndpE0HcKVqkZ0x1EozgidBIt+IctDCsKEHuyqI7IkwkimSZPCi6jISVtcxpFjIHO8AMU8aMfEAung+uekD6JqrGfRNoJT3Ua4w8GdHLec73yXDuYiuiAuj/z0yC4M8FrqaooI+UnvjlLkraZjeh8NnYGfBAU7V+vi970r6qvP5muohplvKmO+eS+fUNvyKYvImehm1NPDB4hCP9Q3z3dgtTGRW4csQ+HHsDqSpKpq6yzkzWkY8FuL1hgdJKTwdnzOH2tBHGD/8mFeuyuX91D7ujttZdeBjNqRfzfVdSyjPT4YaDV0akR+q36PU8xhq9RL2NZyP2y0yz1FJWa8NhVfBeNowm/Y8j6AQya4+FedoMRODEjnpUbJ2PIHy4wMIaansvXwev3E0EBLqqTDlcX0gzsqGrQjIBJMq+YvqHO7tKyU6JmDTq5hXk0SjTWSLACBTroMzFduo8DyKND1zz6dW5+LzzWX/fh3BwEwEIUkSxen5FAftJA8rEcY+iQoUAtHUBF3T9TQ0fUTiP+1xY3Ia0bCNcCCKWnd036d4PI7b7eadd95Bp5tJeS1ZsgSFQsHvf/97rr/+emCmMslut/PnP/+Zb33rW0xPTx/VvJ+Hf6tI4Vhj7Ld1RIePT5PXYUOAuF3gwPgG2jt3fOHTa41mknLOZHIo9ZjZzHXEyH3xdsTY4alCCQY999xgY5/q0NJriywl/GHfoXdY78y6lgs7Dq+7uUjh5ppCFxpRRUynRhuKEVPIyNEI5qiGkeRkhGgHmVNJ9GXpSe0ZpL+gkOzODroKCylrm6Q3P0RhWIN30MdAnpkyOUyoVWAqr5WezGWc0AKhsWkmC7ezxXQpZ8V3oe9wEHU5GazawzauYFXmZjIa5zE62Yt9cpD6xb24XSfRU5XHWVMfkNG7is6pvVgimfQZ36Yo3c0bngtoKK/kRs0jTLcUM98zj7aJDQQUsyga3kN9YQ+jpQm+MTjM5b5vEqnKJyPVzcXBHzPQvRxDtIS5I9l0ynX0OluQNKdh1ugo+PgXhEus/GBhH5XJ2fxH2y6U+ly+5r+a5oidtNkp7NPKnG8eZ43nPzAq9QwOLKO1VaA0o5DaySx0PolAWpANB57DH5gmo2wJHlcV4YCKLIdMzr5nUbXsQEhNpm5NHg9kNBASYsw2F3K9J8DS7pnvijttIY8l1vLoQC4A2ck6kout1BkgJIBCgFXGACfGXibT//rMPhOUqFTz6e/Lo7390zRQijWZcn0uOUNGVMH/FFGmKBilj7rmd/D6PiVm1BhMpOTMJhorYHrcAsDKy0opX3LkEfiKFSvweDzs27cPlUr1GWU1SZKYM2cOubm5vPjiiygUCrKysrjgggu4+eabycg4vhK+/1aRwrFEdDzw7+MQYKYRbkRmNsupWbiKVs8uDjR/+IVNH/S6GWx8loyyhXhcC4iGpaO22TusIH7Brw9b91n2+fn+m6lceY6SgPj5VWHbp9vYkzOHuX2HpoR1RJQXgkBClBAFGVlQkBDiyIRJKAViERFbxINTbyI0GUAhGwmoBTJiHoLaOBkJH1HFFJOaQkqGJGRdM07LCUhtIKv24VLUMs/fT9SbQli9j3C8lnnWeswNZUwGp5nIrEMOzCWjfAx9ex4+1wCWgIrNs/sodRezuaicK4IvYh5cTd/UPvRyES7Faziy/HwwvY6msgpu0D6Gu6WEhd65NI6vJ6KcS0nvh7xbO0R6psg1YwnOC3yfYK2dNbYGVoZeYe++E5mtqSXPY2H92POoU3OIyesolvtI+vtjbL6giKcze7lDSOGUho28l3YdN3fPZ1ZFGi67EotB5r7EI6R7thONrmH9ZgPJllTOtpWQ3KUini6wZfw1hra24SiZiyo8j4khLenpInmjr6DZ8CFCSjL1l87jgYxGAuI+FpiLuWHazbz6j5EFkVHHan7lP41X+mYEocpzLMi5RurVcdoFsCpELtAPsDjwKEb3TEGJUplGNLqQA/stTE8nPvlMSYk9n2JfGraRT0/4gl6B1+ymoW8D/bs+jeQVKhWpebMQFCU4R5OZGP7Ueag0Ep6mDjgKp7BhwwZuueWWg07h7rvvZufOnaxfv561a9dy2WWXceONNwKwfv16XC4X1113HTabje985ztHPO+h4P/ZSMGzvh/Pe31f9jL+JYRkJV2R/ew58NYXKg2qtyZhTj8D58iRqaX9VzjSBYr/9h3E4OHd+UydMpebZtcf0tg55iL+XP/RIY2VBYll8p8YDB36JXuhwsflhU4MShFBZUAVCRHQgSIWgoACqyAxYrWgdk6RotbSo54gz+WgM2WUQmcGw7QgZhVjq/czUODBrjeiqVcynrGf9qxVrGyPExx14i6qZ3vaOZw61ke8X0D0tyIW+njRcTHn+DeR0lPKmCfGiPHvzDJpuC/tOi41v4CmZSny2ADheA4q36t45/jpdK5mc/FcrtH9EV9rEfPdczgw9iFx1SJK21/juRPGWWVKkBrI4Y7g+biqTFyvfYmC0BQH6kpYlZiFQhHj44ZnsGWfRjzkoLz1KSSVi5+c6MKemsKdHfUodXlc776SEYUdZXUSAxq42lDHnOl70KoXUbc3n1BQy0JbJXndBoQkJQ2ezTS3bSI1twxBtQT3hImUNImCgXfRbfsbYrKN/WsKeCCrCZ8QYZmljOsnx6gZqEeWVPSkn85drpPYOGVFKQlUFScx4dDSoZj5npRqBc5Q7qTK8zAK2cdMOWkto6MlNDaIyJ90+duT0yhTZ5M9aEQZ/iRakARiaTJd7noONH94MD0kCCIpuaWoDZW4xtOJRT49OClUIhnJEVJHd2PY+gpCLELR5k0obEcua3vXXXfx4x//GKVSSSgUIhKJcNVVV/HCCy8gSRIVFRUcOHCAyy+/nEgkQiKR4JVXXvkM5fbxwP+zTmHsd/uIDh7eS+rLgmBVMiB2sGPfa8TjX5xAd1bFCTgnZhOPHn3UkGaXKHvrB4he52E9t+ETBa5Dwe+xs7hn1yGN/YP9Tu7pPXQ+rUKFlysLnGhUAjpJR4QgoqQlqA6h8MvY/GrGU23IkU7sznRGsoI4eqE3V0ded4zuPD8FbiOhqT7qi8tZMBwn4OxnJNdEhjGEstGGX7GNDvsJ5Kf1kdlUgntyipGSLexRXMKKtK1kN8+nf2oMTXAnhhI3j6u+ykk5H2Nuycc6HmUiYiVp6nV6lvhxTy7jg8LFXKl/nEBLEfO9s9k/9hGycjElHX/h0ROdXCP46Y2s4i+ak3AWqbhZ/iXKqTymR4pYOlXIgNxEj6uVBCeTYYiR+fa9tJxWyK+LOrhd4eCszh28nnIj3+mbw6xZdnYli6w0+VkXuAubmGBwYCnt7SI1GeVUDqSiVijpV7Wzre5lrPasg4R11mQlRZMbMGx4HiHJRuOaQn6d1YRPjLDKWsb1owOUDzchqwwcSDuHH46eQINXj1GjoLQsmfZkBWOijASsMIY4KfEa2b4ZqUyFwgzyYlpaUhkdnXEYarWa0tQCijwpWMb+UzIkWcGY0M/elnfwej+ldrc6cjAmz8LrzPpMtZ6kFMlIiZE6UYdh2yuIfs+ntgQBy/33kH7a2Ye8x/4rdu3axYIFM7xqP/7xj7n00kt57LHHePTRR0lNTeW73/3uQToMpVJJPB4nkUgcd42F/yedQmw6zOjPD+3l8e8EwahgXDvI1v0vEw59MakvY3IahuTTcY1ZjtpWcqqCig9/hOQ89DJgQa/nFzcksUc9/Lljq035PLd/wyHZ7cw6l5M6zj3kdRQp/VyVN4lCJ2GMaQhrAsQECwoxQTzmRPKqMelUTJhjpPaF6c3Jxt7fgzs/C2tnN01FRSxujdGVtJ94Rin5eyUmbds4kHcSqzpihCYm8BR00JixlBVdcXzDPvy6LYStVUyUmKlp1REacWFyDTMwp4s9wQvJKB8lvz1Gzngqvf4E9rEPqF/hRT01lzfyVnCZ4c+EWguY55lF/cR6FMpF5HU8y8Nr3HzP7+KFyMXscyxAlR3h6vDdDHYswBGvptyVyqbBF1Gm5OF1VVPl24xhaBsPniEg23Xc1dOMSpvPtc7L8BsdeErMJPRwveIlCgJ/Ixo9hR079GSn5jDfnYfJq8SV7GRD3bMotFpsmauYGMzAZFVRFNiN6YMnEC0mmtYU8UBOM14xwhpLOdcNdVE01kZCl8zWpPP4/sACBkNq0i1aMkqt1JkEAgKYFSJn6odYEnwMU3gmxaPRlOFyVrN/v4roJxnIjFQHZYpssgZ0SFHhk/2lwGf20DCwib7+TxX6DLYUrBmzCQby8Tl1Bz8XJQFHmkyacz/GrS9/9pCjUBCrLqahUs+LaX3Ys8t4bPVjh7zH/isaGhqorq7GbrcTj8eZnp5GEASys7Pp6ZlpqFu0aBFbtmxBEASysrLo7+8/7vxx/086Bd/WIabf7P6yl3HEELQSLsskWw+8hM93/BvhBEEks2IlU2NVRy3kY0tWHL7uc2Eu15w7gVf8fJbTh6QsVnRu/dxxMVMWheO/OOQlFIg+rikYR6nXoIsqkNUyUVFJGD2CxonCEyYpqGUgzYphbBhDkpWp0AgO7IxG+9Das1E0TTNcpKfYr8A/6GU8TyDVKKBuMOPTbqbOcQaLNG3oWzKIuLsJl4zwdvq5nOE8gKHHRtQTpql4I0JkCb1lmSwdbCJ/pIp2j5OMkR1sX+Ek3VXFCzknc6nxaSJtBcz1VFE/uRmVNJeMgef4w8kBfjw5yU9CN9BfUk51Wh+nB5/hQP08Fsq1GGWBDS3PY0g9FY2QRNGGXzE6P4W7qzr4mtrBeV27ecl2I3cP1VJSm8ZeM1xs6mO5+0foVbPZuycfIWFmkbqc9AENYUeMTc0v4A+7SStYxeRIPlqdiuJEE+Z3H0My6mhZU8z9Oc34pRinWUq5bqCN3IkuYqZs3jGdzw/7ZuGOKih2mFAXmKjTJYgjUKQVOEO5h1meh1HKbkRRi0JaRFdXJr29M68trUZLWUoBha5kTJOfRLySQDxVpst7gAPNHxykoVHrDaTkziYWL8Q1ZjlICSOKAvY0sLsbMW5/Gcn1nxoslUrCtaXsK1fz15RuhqRPowWFqGDzhZsxqI5MlS0UCmGz2dBoNAQCAcrKyti/fz+1tbX09fXhdrtJJBLIssztt9/O1q1b2bJly/85hSPB9tc3oO9NYB1VIBxjBtEvEoJKxJvsZXvzqzhdn3+SPlqY0zLQmE/DPWE8Ojs2JbN2/QrF4KFTVLhOnsMNcz5fa7nUmMOLB7YgHAKZ1aW6Rw9SHXweipRBLs8dQWfQog3J+HQ6THKIiKQiJmqIJUYwT2uJJplwxwfIcKYzlOUju9tAd66bvIlkgqEGmsvmsbBBZlq1gd1Fq1nVHSEwOYw3b4LhrELmNVrwTjgZz9lEve4rnGDdTUZLNeMuHyPWd8nQZfJy/imc6/uAjN4ldLj6yRztYOOyQUo9xfw56wwuMj1PrD2fOe5y6p07MFCJcepFXl0R5jsTbm4OfI2JqizON39Aub+PjqYKVvjLGYu10+vtIhpbSaE0RPKuZ3hunYWhDLi7vwOVpogrxi9CZc+kN09HrinGZdH7scvjDPQvpadHxfy0Koq6zYgpCnYPv03/cDOO0hNwT5YjShqKVd3Y3vkdkkZB25oS7s9twaeIfSps4+wnlFTOC6pz+VlfKXFZoLowCU+mjmZVAhE4wRjm5MQb5PheAECtzsHvn8uB/Xr8/pm/e3ZaJmViFo4BLVLsk+94koJxaZC6lndwe2Ze7JJSSVpeNYKyFOdYykEdEkEAu13E7mvFtP1lpMlPtVYErQb/nBJ2lUq8mNTFpPjZqD1X72ClMokVk8PULPgGYuWR8W3BzL3C3XffTTwep6CggImJCW666SZ+9atfkUgkWLhwIZFIhLa2NiKRCNFo9P+cwuEiHA7zi1/8gkQigV6nJ9+WRVY0ibRh9cGQ8n8cFAKhtDA7O99kdLTzuE4lShKZFauZGCpFPgrNY4NZyeyG36HsPrT7AoDN18zhodTPdwz3q3I5uW3T5447HMqLItHDVYXjKDUmVIkYca0KXSiORowypbKCyg/uMMkxHSOpMVIHQvTnZODo6aatsIDZLV7acsbJV5iItEQZLwiRZNKj3a/HbdnCrvRzWB3uJd6tIcgevOmFTBcYqGlOwTk2hRjdizk/wh+TruFC7RuktS1nYKoL+8QEG+e3UxvI4feOdVxoeYFEWz6zPcXsd+3DGsshEnuD/fNjXDQB34peh6fSyvXKx9CMJSNPVlE7ncn2ob8hJuUT9pdT2fEsoVQ/P57fz6UGBxd17eUZ8438brKG9Nkp9JgErtVupMb3RyKRNezcYaAsvZiaEQdalZq2yB7qm94no3QBfv9s4lE9RcZhUt79HZIYo31NKb/Oa8WvjH8qbOMexpO2gD8m1vLQQB5alURlSRI9dhWDooxJEjndMMKy4B8xh/chCApUqvkMDhTQOsN8jV6npzypgMJJG3rXTFQg6CR8Fh9Ng5vo6aufGSgIpOSUoDFV4p5wEAl9cq8gQFqaRHqwHdOOV1CMfVqIIhgNeOYUsa1E5kVLx2eiVkmQmGXKY2VCxYqRDnIn/lMzavWFsO4Ph7TH/v+QSCTIy8ujv38mstbpdMyfP5/29nZkWWZsbAylUkllZSX19fXE4/H/cwqHi+bmZl588cX/9rlCoSA7JZMcMYWMcQMa7xeuL3T0ECFqT7B34P3P5EePB2wZuUiaNXidR67wpDMqqG0/dN1nQavlvptS2an+1wp5BYZMXm3cgfg5FVvjjlXM7772kOYuVvq4PG8Uvc6ITByNJCKHFUgJCZUywJg2FTHRh31CT19WCsbxAUxGG1PBAcxJ6dA9QWtRLnP6FARi29ldvITlfTECU/04c+PEHTqKGxx4p/rxFXWyyb6WU8d7oU9C6R7CXdnJ24qrWZ2xgdSmWtzj/VhdYbZW72VB1M7D9os4z/YiQmseVd4CGqZbSA0Y6Td8RKI4TPF0FvcpLyBRKnJD/D5G2qopDteSGlGzufMlVObVJCuUZK3/DR+cmcLuvCA/He5HpSri8tHzseTl0OBQcaJlijO8/4FJUcye3bnolXYWRoqweTSMGAbYsvcvpOSVk2AhAY+JQpsT+wcPIcUCdK4p5f78NgIqmQsNBVzesZsk3wTjjhP5dfA0/jpiJ9moJq/UxgGrhFuQKdCInKGuY7bnYZQJJ0plKrHoQhoarLhcCQRBIM+eTUkig/QBDWJC+CQ9BD2+BuqbPjhYnGGxZ2FKnYV3Ooeg99ML45RUBenRLiy7X/tM9CpYLbjmFrCxMMIr5o7P0K/oFDoWG3NZEYxyQn89Vv+nfQsAslLPZMoCtqqXsfayWxDFIz9wrlixgq1btxKPx3nooYf46KOPcLlcbNiwAYCmpiai0Sg1NTWYTCbc7qOTAfg8fGlO4eWXX+auu+6is7MTnU7H7Nmzef31149aZu71119n377Pp1GwJ6WSq3OQ6TF/tkLhfwIEiNtFGsY30ta57bhNIykUZJSfwvhg0REL+Wj0CmoHnkVz4BB1n/Ozue4CJ27hX/c93KMu4MzW9f9yzOFQXhRKXq4omMSi1hBWJzCE1UTlKBIiUlQiblAQ0EWRxoJYjAYGtVPkDKbSk+OhYCiVIU0jUnoRlv1+hvOmsZmtGOrVuJJ3Upd1BqtH3IQGQrjsW9lvOY9lxv0kNRfin3bRX7iFnsRaMoqGyG9NRR5xofJJ7MvbxHzRyoOpl7Mu6WWktnwq3Nk0unvImI6wO2M7pWl+JryLeS15NRm5k5wbfIr2xnksDszCHeml19dDJLKMMu9O1L56frrSxSnmZC7rrucJ/Q0856tBXW0jZoZrhCfIizXT37eEkWEji4wVZA3o8af62VD/HBqrFbVxOdMTNvJT/WRseASFb4KuNeX8Or+doIaDwjamkI9ex+nc7VrNx1NW8lINmIvM1OkhKsBSY5Q18t/J9T6HAGg0NYyPldHQIJFIzJDRlVvyyR+3onN/kvJJUjIuDbK39R3c7pliBr3Fhi2rlnCwAM/Up++OpBQFjkQf1j1/Q9H3KXeWkJLM+Lw8Ps4P8Lqhg5jw6cEiVZPEcq2DlW4nC3rrUMU/e8cVseTTblzEW6EKnh7Jwh+biVZe/9oSZmVZPneP/TOsWLGCvXv34vP5aGxs5Morr6S+vp7MzEz8fj9jY2Ps37+f2bNnfyFO4Ut5G46MjHDRRRfxy1/+knPOOQev18vmzZuPSVjU0XFoeezRqXFGp2byjsZkI/nWLLLCVpKH1Shi/+ZpJhmkkQQ1LKNm4UpavbvY33Tkmsr/DDNCPn8nObsIWToJ/xEI+YT8MfZkXMJcpXZGLvHz0N3PfXvmcN28fx0JPSYFOFVUoPgXEomHQ3mhQEAWZOIJCZBIyAmQBKJyjJgE5mAUtzKFhNGJOK1D1GYQZoiQIp9wcBS/w0HRkIKQapBRYw15vRCUO3Dpq1lAJ+JkKgmplbimgvy0XmyN5Th904ylbYVILYqyGFndWtQTQSJhPc0Z77NIMvBA8mWsS/obqrYCCqftNPkGyZ6Y4v2yA5yq9fK26xx258/lhJSd1LqbGOpczUmBQvaOvkPCVIBasZLKvQ9xYImeN8rC3DvmQRlP59TQvSTl5DBRJnGJqZkl3vuJhVexac9yZqdVsNiTBCqBTZ6XCUz7seadyuRwGqnmKBVdD6Pa2UvPmgruK3QS0XRxmSaXi9q2Ykj00Zh2NneMLedAp4HKPCslVXr2q2UMksA5hnGWBf+E1bMHSTIhSGtobU1jZGSGjK7AnktJLJ20ATXChICglfBn+Gkc3EzPnhnNb5VWR2b5EuJyEa5RKxODM99Xa5IChziIre5NlBvqP90HDjvDc7N5L9fNO7ouZOHTQ2OJMZsVopmV432U99Qj8OnvZIUWZ8p8dki1PDtVzPZRM4x+dt+YtAr2jrmPyikAmM1mzGYzX//612loaCA9PZ3u7u6DGs7btm3DaDTicn0BhSdfRqRQV1fHnDlz6O3tJScn55jZHR8fP8g2eKRQKpXkpmSRTQqOMR1q//+QNFOygp5oI7v3v3lcGuEUKjWOstMY6889IiEfpVpkjucddNvfOKTx26+awwP2f+0Yfqwt5tzP6QrflXUNF3Sc+LnzFSm8XFowgUXSEdNrUIbCJKQIggCJhIgupEKhkZkygX44hJyWhN8zQJIxhdjIMN0l5VTt99CTNYjZmo5pn8ikYx8dmStY0Q6BiTE8+c3sST+Vk4emCA9Gicp1qDJ0vJuzmjWTDdj6HLi8MsPGdyi3qnnQeg1rU/+Opj2fXKeFLr+XrJFWXp/TwaUJH78LXkV3WSEX6f+CYUiNyTmXvICRrX2vI2hWkZ1wkdT6Mg+cGmNOioWruht4VHM978Rq8JWZyLUGuTD0M5KEZPbsziVVl8ccZw56pYp653r6x5pIyVvFxHAOWWmQXfc06oFmetdUcH9hOzGdiitUdi5o3YxG0rA9+Ty+O7CQ8ZiWquIkhh0aeqQEuRqRM9X7qfX8DlViEo2mBJdrFgf2q4lEwGKyUGHOJ2/EjMYngigQT4NeXyP1ze8Ti0WQFApS86qQ1GU4x1IPVsmZbUoyFMPYDryFqvXTNKWQm0lfrYO3sp2s1/Ye/FwhKphrymdlTGLlYDPp/0X2NWrKodO8iLfDVTw9koU7+tlzs1ISKHSYMNj1jBslOhRxFlgNvDa76HP32D/DihUraGxsZGpqClEUef311zn//PMJhUJcddVVnHXWWVx77bVkZ2dTXFzMX/7ylyOe61DwpTiFeDzOmjVr2LVrF2vWrOHkk0/mvPPOw2q1HpXdXbt28fbbbx+jVc7Q2KYn28nTpJPhMmKa/PdPMwkWJYNSJzvqXyV2mJxEh4LUvHKi8RUEvYcv5CMpReZGNqLf+MLnjhW0Gh64MZ1tmn+u1ZyuTeGttgaU/6Lhz588i4rB737ufIUqH1fkTGBUqZHUGoiFiKklEqJAQg6jCAlYgypGUm1I/h7s/mR6M3zk9ybTkT5AftxGaHiMlqJ85gxLBDwttOflUyF6kNv0TFu20pC6lkWqDnStqUTd3YRL+nkj6VLOSmwhrauS0ekAXuUH5KQLPGy6ltPS3kXfkUfmhI6eQJSs4T38bekQVwej/CR6PZ5KG9eKj+FsL6LSO4dIYITeQD/x2CLKOl5ipMDP07OnuNPpRCmVcv3oOVgrsuhLEbhO/Xcqwhvp71vM9GQyi8RSUj16eoQm6lrfJb14Bc6xElKTFOS2vIS2fSf9ayq5r6iDhEHNVVIK57VsRNIm8775PO7oq0VWaikuTaIpWYFTkFlkiLGGdyjwPoUkqlEoFtHdlUVPzwwZXZE9j+JwOilDSgRZQLApmVAOsbf13RnaeUEgObsInbkS12QG0U8IHY0WJZnqcWzN76Fu+E9pyeI8Omel8HrW2GfupYxKA8sMuaz0+1natw9D6NOyUllSM50yl12KuTzvLGaj87+/g3JS9KQ6DPgsKlrVCYL/5UykEgTallWhlY7sALlixQra29sZGRlBq9VyxRVXIEkSv//974nH46SlpXHFFVfw6quvcuuttx6kvzhe+NLuFGRZZtu2bbz//vu89tprjI6OsnPnTvLy8o7Y5ksvvURTU9MxXOVnYTGZyTNnkhW0kjyiQoz/+6aZBKOCcd0Q2+pfJhQ6tp3dKq0Oe+HpjA9mHfazoiRQK+7G9MGTnztWyM3i2gtduMV/fr/wA30pFzX+87SULIgskx//XMqLQoWHKwum0KpVGAQVASmIIBlIyCKiKBMVPKhdCgwaFeNWmZQ+P335OWR29tBVmE5Nh0BXUiv61Gws9QlGMjtxOyqY3aTH42liPFdPPFNL2QE7vqkJJgp2sEtzEcttO8lqqWFoygVswZIT4Qn9taxO/xBTWy6pkwqGggrSxzbx7rIpzvdquFtxDcbSGBdHnmawdR4LfWUzfEfafExxG1l1f+CpU8Dh0HF9bwsPStezXV3DUIGOlZYhTvb9HDm0kAP1ScyzVlIwZMFpmWDzvhdILajF456F2aChoPfv6A58xMDJVfy6uAvZpOFaLJzVupG4OZ+X1Ov4aV85KRYDaSVW9hpn/r6nGyc5IfQEttAO1KosAoF57N9vwO+XSbYmUa7PI/cTMjpBKxGwBmga3kJXzx5gpjTanFaDz51zUEVQb1KQqZsiqfVDNPUff7JBBBLlhbRVWXklY4gDqk+bJjN0aaxUpbLCNcac/vrPpBljxky6LIt4P1LNn0eymYp8lu00yaAiJ9NEIllNt1ZgXPzvr0iVIFCli1OtGKQotp0zC88mxbbgX+6xf4UVK1awbds2qqurGR4eRqPRcMIJJ/DUU0/x2GOPMX/+fGprazEajSiVSpYuXcqDDz5Ibm7uEc/5z/BvUX0Uj8fJycnh1ltv5dZbbz1iO/fdd99hay4cKdRqNbnJWeQkkrGPaj/LtvhvhJlGuCm2HXj5M8yPxwL2wlmEQssI+VWHtyYRZmsaD0n32bOylmsX/vOy1hSNjbc729BEg/90zKFQXhRKHq4ucKLUKjFElYS1CRKiGhVxQrIaQZmA0BQ2r56xtCREdw+pqhQmAwNo7VkoOiboKrJTNaIk4G2gsWgW870BQj0h3LnNNDpOYnVfAN9QkKmUTYzoV2PPHaGgsZCpKSeqYB1SiYcXNFezwrEJW1sO5okEEyEdVteH1C2epsaVzcOWC6jMbWeJayeBvsWU+5LZNfwesmoZhc4DRBRNPLpomu/4PKgo5ebJs9BVZhBNSXBl/LdkxAXq6vLI0ZdSNZRG3BplU+Nf0KZmEI3NR6UwUjj+McZdbzB0chW/LulGNOm5Lq7ltLZNBJNr+JN8Nr8dzKckw4wi30idJkGmRuJMTSNzvQ+hjk+hVs9ncLCAlhZQKJSU2Aso9qeRNKIEERJpIn3+Juqa3iUWi6AzWUjKriUSLsQ9OdMMpjMoyDROk9S5Hs2e9xBkGSSJWHUxjRUGXkrvp0Mxs6cFBKpMef8fe+8dJ9dd3vu/T53eZ3ZntleVVa+2XCV3DJjebUwJXOr9QS4tkEtuEsglxCTkJhBKMGB6gkNzw7jIcpOt3rXaXW3fnd3pvZ3y+2NWq27LkoztJJ99ndeUU75n9pzzPN+nfR42YmNj9Ci9M/3z19YUFbKhNWxT1vKz1CIeTpzMV2RVRHqaPVgbbEy7RIbk00WiIggstRuskCfo1bbSXLgfxTwe8O3o+BjdXZ98znvsuXAs2BwKhbjvvvvo6+tDkiTa2tq44447+MhHPkImk+GZZ55BlmW+9KUvsWPHDvbu3YuqvrDn7/nwkvhDnnnmGR5++GFuuOEGGhoaeOaZZ4jFYixevPi8j5lIJP5oCgHq9RD9k4P0M4ggCLS0N9GhhGlOunAmL5xL6GLBLOl4S15e3fxB8sE8Tx/6FYnkxEU5dnRwDxbHEKGu1xKfiJz7ORmws7SUla/7JP7fPHffZ/ejO/l0+1r+LrL7jOtj5SS/WHw1t+994KzHuEbZz9/w3ErBFEQMwQBRwkSjKDrxGWWoCXgpkBNcaDYnyWqZcCrNRIMNedgk3+knMmFj3J8lpDRQTWWJtau02DMIA04qnh0ccVzDlZlxqjEnVcsuTNsSpM4Kbf2tpFIxHIVDVJZk+Q/ldq5ueoJgfyeOWJVk2YWl/ABjl2bwJi7hn1o2clPgAQKjNRyxm/DkUuwo7sRiu57e/d/ngSuqmB0y3xyL8TXez0HPCjKXWrjR+SwbSr9kdHQDA7lWrqt24TRVnsn8jlKhhrXxNRhagEX5rbif+BnT1y/jLz/mQPXG+XjVx/UHniAZuZovev6Wf5toYlmPn7ZNdnYrBpc4Nb4oPEh39vtYdD+afikHDvhJJAwaAw1sbGmnfcKJMigi+BXijVPs7H+A5NAUitVKY+8aTGEByaif2KSA1SHT05QleHQLti331ft1KArVdUvY3Wfl3xpGGJPqySRWycLVrsVsrOpsHNtHcHjz/PXUnRGGfZfVrYFoB7OjJzCjCtDV6CIQcZD2yPSrJtvnjf66QpAFWGo3WSFP0qs9Q0vxfpSzsAuoagvp1NknJecKVVWZnJzkhz/8IaZp4nQ68Xq9fPe736VUKvHa176WZcuWAfD9738fr9fLQw89xM0333zBY5+Il8RSOHToEJ/85CfZuXMn2WyW9vZ2Pv7xj/Oxj33svI+5e/dufv3rX1+8k7wA+L0+utwttOS9+KNKPbf65QJZoNxY5dnB3zEdPfeK4+dD08J15LMbjhcKnSOWBSYJ3f03z7mNYLHw/z7SzOPWM1Nn+C1e7h8+ir1y5knBuVBedEo5PtAVQ7E7sBg6pk1GLcnopoZkStioMuMMYIpThKIC0+3NBEaOMtPTSfOhSY72uFkStVMs72HXgjVcMWFQjI0y0wFyo4O2fUFKmQEKPSm2NV3FNZNxjAkTJT1Ceuk4D8nvYn3rdiKH21Fmi5RKTnLi/bh68mzLvpq9vUt4l/XHlAY6WJ5ZzvDsMxTkdsJlDcfsvXxzU5EPV/IoxmI+l7kFfUmYtmCGN5b/FqnQR//BCJdaltKcc3Gw9DRjyX6cgU2UCxF6tb34Hv0B0Wv6+PvFwzj8Pj5YNNh49BnGIjfx5fQNPJUL0bcoyGCDQlqGm1xJNlW+T6D0JFbrSmKzfezdKyHLKosa62R0vhkFwSpR9Jc4NP0kA0efRZQkGjqXotj6SM40oNckLDaJFl+R4OgT2J65B1GrIlitFNcsZPsiiV8EjjIr5eeutY+r7S1szGXYMLoTW7XeRMcUZXKh1exU1/KL9CLujwVPur6NHiutzS6qAQsDNpPUKY+kBCyxwwpligX6M7QW7kMxTid3FAQZi6UHrdZBMulndFQhnTZQFIXPfe5zSNL5TwivuOIKnnzySQRBYNOmTTz88MP85je/4c1vfjOaps33XbBYLGiahq7r3Hzzzdx7773nPeaZ8LJwH10M/O53v2PHjnPj2/9jwma10RlspU0L0DhtO07f+1JDhFrYZNfEg8crQS8QNrcXf+trSUyFXtB+ixviRP7tL55zG6GtmQ+9I0dCLJ5x/f90L+UDe86eZHCb/Zs8nvSedX23WuQ9rdM43Q4MwcCuq9QMDVMQQNCRKhJ21WTW6UbKTdNoBhh1zNJRDJOoHqXS2kNgb47JrjyNNhfqAYVkeC8DrVdz9aBBYXaWfMdengy+gZsKh1GP+iA1TmzpAE8Jb2Nl+16aDrchzuTQS3bGnQ+wuLHCL8rvJLMkwDu1n5EZWMfyfBu7ZzdjSpfSM/wAuxbHmV6s89GJCb6qvYehxhXEWmXeLf+M3mqM3Xt6WGhdwqKZINPqMLuGHsLXsol8qp1eeYjgI99h9soF/EPfKC6/j/+RL3P52F4Ohl/H/57dyKQZpHWRn90eAY9V5BbbQdbm/hkHeQRhA/2Hw0xNmTSFIixW22gddyBrAkaDyGjpELsOPECtVibY2oPdt4xMooVKUUG1SjT7yzRMbsX29K8QqxUEh4Pc2gVsXWDyC//gfCypy9HMRtnPpsQkyyf2zhct6o4GxnyX8ZC2nDujXUyXj7tRnBaZ7hY3csjGuFNgTDpZzElA37wS2EZr4T5UI86pkCQHirKQSrmV2VkXw8MClbNQdH3wgx+kqenCGu9s2bIF0zS54oor2LJlC+l0Gv8cPfd9993HzTffjN/v51Of+hSXXHIJoVBo3nq4WPhPoxT+5V/+hZmZc2fnfCkgiiJtDc20y400x5zYMy8PN5MREdkff5xDR564KMdrXryBbGr9C2rkcy59n/NXr+J9l525jadbdfHA6ASu8pkLe+5p+SQfG1x31mMvUDK8oz2BX7VTdRg4yioaVXSriWGaiLqOtWBFscvMeGpERjVGOn10H8kx2AsLp73kars5vGANl/QLZLRt7O9ay7pyGn1IJhl6mv2B13KpZQBPfxPV5DSzC/eyS3oji9sP03q4FXMmg5iXORh+hEsd8E3pvYQWZNmUfgJl9Eq82TKDxRmcegdNR3/G964p8jahiFpdzF+XbiG32M8VvkGuK93FxMhqlFIvq+MtVG05njr0H3ja1pFLLKDbFiX0yLeIX9rB1/vG8AcDfDCdYe3MEM8E38yfTVyK5Anh7PGww26wymnyKvEhFuS+h03tIpNZyZ49FgTByuJQN73pIO6YjOBTiFui7Op/gERyAncogjeykkK2g0LGdlJPAsdTv0IsFxA8blLrenmip8YvPQMUxRqSILHS3cUmQ2XT1GHa4nXGUFOQKIRWstuyln/LLOZ3sdB83wRZFOhucuFudJBwyxxRdDTh+ARMpK4ElitRFurbaC3cg+UMSkBRQojiAgr5MFNTDsbGjPkxToXT4STiaaBB8hIsOuhcvxDvJS1nvceeD8eCzbVajWAwyNve9jZ+8IMfUCjUuZccDgeFQgFFUVBVlfvvv58rr7zyvMc7G140pTA2NkZfX99Z1x88eJC2traLMlalUuErX/nKi84JcrER8gfpdDbRkvXim3kZkPc1yPTnt7H7wDkUmT0PHL7gXCOfc29C0t1Upu3nn3nOvs87372OrzSfuWL9f3iW8bHdZzalY03XsO45KC96lQy3tsfwWWzUbA6UagXdomGaNkxTxlSLiOUKnqxCrCmAJTaGwx+iNjtJpqOT0P4koz0CvVUbleEc0c4qdp+L8H4XaWEbI+EVRMIZWve3UUjMMNP1LIflW+hsH6ajv5XqTBJLtsbu7qe5RHDzT+7buKR1O22jGdpn1zET20dWaKUtPsKUdy+7V9b4yMwsd1TfzXDrMoTmGu/U/hlbNsL4UAeX1BbiFCSeHvoPlFAHhcxS2u1ZGh/5F5JrIvzj0glCoSD/Ix5jaXqWP3jewp+Praa5tYFim51BK9zoSrOp8iMaK0+hyBs4erSVo0ehrbGZRWIrTeN2FEmmFCxzaPopjgxtxebyEGxfNRcwdp+xJ4EY9DO7totHu0v8xjVIVdBxyHYuc3WyqVThqtFdeIp1/71hCzIeuIxH9RXcGe1krHQ8FbolYCfS5KTkUzlsMcmfkOshAovssEKZYZGxnbbCPaj67ClXXcBi6cQ0OkmnQ4yNqcRiZ5YhsiwT9jcQtgYIVV34kxZs2ZOTS+xrGvG/ZcFZ77HnwzFL4XWvex1f+cpX2LhxIzfeeCM/+9nPEASBFStW8Oyzz/Jnf/ZnLFmyhKeeeoo/+7M/o6Xl/BXRmfCiKQVN0xgZGTnr+o6ODmT54sS5R0ZG+MEPfnBRjvVS4eVE3icEFIa1/Ty757cXVggnCLT2XUUytvKcG/k8X99nQVX55kfaTipIOgaHbOeByVm8xdN9wc9HedEl5XhPVwyXRUVWHZh6Dk11ogCKXqUgOTGUCuSzNFY9jDaWaB9xcrQtS+9sgLhwgHjHEhbtM4h6dzLSvoEN/VDIHGG2XaLY7GfZoRD5WJxY81ZGrDcSbp+i53AzpdkUtkyWvX276Kp28pPIa7nF+zvkwTB96QUciD+LJKygY/jX3H15imusJdTyIv7eeC2ZBW5e73iEFeUDHNq/iD5xCe15DztjD1GyiFTKa4jYajRt+Q7ppT7+adkU4YYgH4xO0FOqcbf1jXxlahkLehsYD6tUbQK32PpZn/9n3CKUS+vZs8eJadhYHOimJxHAmZIwGkXGyofZtf8BDMGgoWslgriQZDSAIIqn9SQQIo1Mr2njD5057nMOoWPSaAuy0RJhUybB+tGdKHoVUxApBpez17qOu7OL+dVsA7pZv2Zeu0JnixshaOWoXSB6gktIABbaBFaqMyw0dtBWuBerfnIPcEFQsVgWUK22kYj7GB6W5llXT0XQFyDsCBIy3QRydtxx6Tljg4IqQoeF5vedGwHjmXBMKdxyyy38+te/5tChQ2zcuJFEIsH69evp7e3lrrvuQlEUWltbufbaa7njjjtwu93nPeaZ8J/CffTMM89w//33v9SncdHwciHvE7wKk/IQT++6+4IK4dyhMA7/q0nNnhuNdWuT+Zx9n4WWJj78rsJplMYA7/Uu4093ndla+N/+vzsr5cVCMcdt3TFsVhU7KkWLiYqAVBUQDAEZjZLVStFawT9VJtXaiHt8lHhHO5H+KEO9bpbGreTTRzjUtZC1uSql0TyZzmEGI5dw1VHIR3MkQk8yab+GQEeCBf1N5GMpbOlpBpcdgeJanuxew5vFXyMOrqExJTNYiBMsOdCrD7JlQ40PJNLcUb6VkY4+2ptmuaVyJzPDfbhLfSxNhRmr7mcsPwLiBgKqQsvWO8n2WPnG8igtDUE+MDlExHTyfeH1fD++iO7FQfb7RTqdJjeLj7Io9z1slhVMTvRy6JBAR2Mbi2ghMm5FcqkkrDPsGvg9ieQEDZ1LUB19pKJhDF2u9yTIHsD11L8jpWYR2poZW9PMfe1JHp5T4otd7WwUXGycHaFvus5JZFh9TAUv4zFjBXdGuxkq1ulUVFmkp9mNo8HGjFtiUDIw5lxCArDAJrBSnWWhsZP2wr1Y9ZOJFGXZgywvpFhsZibqZGQEztTJ0m6zE/E10Cj5CJYc+OIKSvnsz5xglTA8UJCyxIuTTMwcZHL6CIIg8PEf/juKeu5tYE+FxWLh8ssv55FH6rUY2WwWr9fLVVddxebNmxEEAavVesaA9uc//3k+//nPn/fYx/CfQin89re/ZefOnS/1abxoeKnJ+wSnTMwxxZN77qZcyj7/Dmc6hiDSsnQTiellGPrzK7nn6/tcvGIl77ly/2nf2yQr90XTBPOnugqem/KiR8rxnp4YFrsFe1WkYLfjKteooWEKBoIpYK+IZANuKtoErekQRxtSdMVCTFoGURo78BwoM9WWwesI4DqokAxsY1/zjVwbT1Aeg7T7KaY8l+Fsz7PoSJjcbBZL/iizS0cZLN1EcqGP6zNP4B29nHx8iIwepm1qG48tHWWpr4RSWMy3lddS7lF5u/xjfCmF5Nhi1uS7KJqz7I8+hey4HKfgoW33jyg263xzxSxtDQH+ZLwfl9zKP1ZezWPVXoILfOxzCWx0Z7im9hOaa7vQtA0c2O+nWnHS5+ume9aLo6xQClY4HN1K/+BTBFq6cPiXkUm2US0qNDaKhAuH8RzrSdDTwdFVDfyuJcaT1nEUUWGdu4uNNYFNEwcJpycwESgHlrDPfgm/yi/mlzMRanOz8M4GJ8GIg7xP4ZBqUp6bnAtAj01glRpjobGL9uJ92LSTs9FUtQnoJZdrZHLCyuSkMbfncUiSRNjfQKM1QEhz4U9ZcaSfQwHYJHSPSUHMEsuPMx49QHRm6Kzbv+vLf0+45/xdSB6Ph1qtRjgcZnJyEtM0qdVqXHHFFTz22GNIkoTH46FYLNLd3c2nP/1prrrqKgD8fv98UPpC8J9CKXz3u99lcvK56Zb/s8DlPE7eF5qyHG8w8keAYJNIe5M8ue+XJ/W4fSHwhluwuG6eL1B6Ljxf3+c9t67jy62nxxfe5V3G585gLTwX5UWXmOd9nbPYXA4Ew8AqS+g1E02uE+OZoo5ZqREsORgPO2gYjzLb2ULjwARHe0MsHVGJq7uY6FzJqgMCCWkbh5vXs9pIIQ7aSNueIRpYhdpWpa+/gWwsh1g5SLV3ls3GW2jsjrN4Yoa2meUMJw9i0dtxJu/l4cuL3Jor8f/K72C4u5dLgnu5ovA4R48sZVmlD6dmsmPi98juVSh6hM5Dv6QUyPCd1Uk6Qj7eN3oI07aEv8ncwJi9G7PDxZTL5LX2IS7JfwO/7CYeW8L+/SrtoXYWak00TloRghLj1X527L8fi8uJr2kVxXwX+YyNxgaJcHkAz7N3I0dHMRd107/Cz6+ap9mlTuNWXVzlaGdjIc8VI7twVHKYFg/TwQ1sMVfxg9luDufrLTBDLgttLW60gIVBOySE4+Ko2yqw2hJnobGbjuI9JykBAQmLpRtN7ySV9DM6qpJKne7q9Ht8hF0hGvAQyNnwxOWzMhEIDhndbZAjTSw/xtjUAWLxkTNuewyiJONpaMLmiSBbQizfdC0LN5w/D1JraysTExNYrVb8fj8f/vCH+cu//EsuvfRS3vjGN84X+H7wgx/kzjvv5B/+4R84cOAAvb3nP+apeMUrBdM0+d73vsLERJlTZwX/2fFSkfcJiki+oVAvhEucnZvobBAliZa+64lNLj5rZscxBBtklj70F4jJ6OkrFYXvfKSDh+zDJ32tiir3JkqE0ydPFJ6L8qJTyvPutgQBp4WaVcNeslJWy5iiDRBBkNDUCkqiiMvqJWqJ0ZEKM+oapcHSjDE6zUBvC6vjIvn4MMMdIZodJu6DLrLiDqbDvQgtAksOh8jFc1TZibWtzH9Y38mlTc8SGvQTiXs5mksRTufoj+zA31xEzS3hh86bcXRWeLPxY7Ij7TTkl9FedLN7+iF0VztirZPO4fuoOab57uo03UEP7xk7TMq+nr+Mb6IW7iDWZMPu1nm1vIUl+Z+giGvoPxymkHPT5+miM+rFLllIWmfZNfgguVKCYPsqNK2HdMxLMCTTdKwnwdQQ+rJeDi7z8O/hMQ4rcVrtYTaqITYlZ1g1XqeVKPsXc8BxCb8pLOUX0TAVQ8SmSvS0uLGEbEy6JIal44K8yyqyyhJnkbGbjtJ92GvHr6so2lHVhVTKLcRiHoaHRcrlk0WXzWoj4mugQfYRLDvxx5WzMg0ILhnNqZMjxWxulNGJvc/b3dDhC+D0N2OxN2IQoFpyk0vZT2pGteKaVq546/kL6KVLl3LgwIF5stBsNks4HOYzn/kM3/3ud/noRz96koto/fr1rFu3jm984xvnPeapeMUrhVJpkqeevgpRtKEqrZhmhFLZTybjYCYqEoudbkL+Z8RLQt4nCZTDNbYfvYfJqf7n3/4U+Js7kaw3PG8jH19QYdnjXz6pU9YxCE1hPnpbidlT4gtv9i3jL3aebi18N/xFvjyy6LTvu+Us726P4bXYqdotWMtFyjYndq2KrIOom5TtNvJqjoYpiLYHCA1PMt7bRG9/hdGmGUKWBuQjJWZbkgihCG0H7OSr+5hoDWNELCzrD5KJ58hZnsEVcvCr4C28yv4wviPLMBIJ8jUfwdktbL4kwS2VGt+uvp2J3lZe5XiQlmSa8uRKluVbGEpvIyPKoC2mc+pxdGmQH6zN0ht0cev4EYZtV/OlxFVY21s4GpJZ4clxrfZzOrQBstlV7N/vpMXbzsJqhIZZG5Vglf7ZZxgYeZaGzhUI8kKS0SD+gEqTMYp3x29QJvqprVzIniU2ftEwwriSZamrg03Y2TQ9QPfsAKbqZCa4gSdYxQ9jvezLORAF6Aq78EccJD0yRxST6tzj2GEVWW1JsMjYQ0fpfhy1410FFSVYTw0tRJiesjM2BsYJhoAkSTT4QoRtAUJ63Q3kTJ05mUFwy9ScGlkjwUxmhNHJffP9GM4ExWrFE2rB6o4gSkFqVR+FjPOcCjNb+/zc8j9XPu92Z8NnP/tZvv71ryNJEldccQWxWIzBwUE+9rGP8ZWvfIVHH32UZ599lm9961tMT0/jdDppbGzknnvuobOzk127drFy5fmPD/8JlEIi8Ri797zvrOvrM4w2TCNMqeQjk7EzMyMTi+n8Z1YWf1TyPgG0COycfJDhkedvcHQiJEWhefGrmB3v5rmux3P1fS5dtpzbrz540neyKPPbtE5r4mRFMtj6Jq4beNNpx+hUcry3PY7bIiMpdipyFbsmoxsmBgamoOEoyRR8LkpGlJZckDFvjNZiA+nSUWKdC+k9oBH37yfasoIV/TKl3EHGO9xoERfL+v1k41mS7qcQXZ083bqOG8pbaRxZxVRqFEfRTlLdjLmggJpdyk98N9HZOsn1pT8QP7qMJYUF5AtjjJVmwFxBR3w3Zm0PP16XZ0HAwdsnh9lpuY5/zFyBvbuB0YDI9Y4RLit+By8NjIx0kIr76HN10jHlQXXKTFSPsOvQ73GFW7G4lpKeCeNwWWme60mgThyitHoBOxar/CI4RFqtcamri00VjavG9hHMz1LxLeCw8xJ+W1zKT6NNlHSJiNdGc4uLik9lwGpyzGXfbhFZZUmymL10Fu/HUTsy//+3WNoxjW4ymRDj4xZmZk4WS163h7ArRKPgJVCw44nJp7tOBRA8ClV7laweJ5o5yuj4vrNyfgmiiDsYxuFrQrY0YBh+SnkX+Yz1eenhJUXE4xFxqWWctSS29BjWycPYClEW/P78mZqz2Swf+MAHuPfee5EkCbfbzfT0NH/yJ3/Ct7/9bW699Va2b9/O17/+dXp7e/nQhz7EQw89xE9/+lPe8Y53/LdSABgbu5OBwS+/4P0k0Y6itmEYEcolH+m0nZkZkXj8P59l8cck76sXwj3BoSPn2GltDqH2BejCdRQzZ6fkfq6+z/vfuY6/aj9ZId3iW8aXT7EWNFcLPbGvnrZ/l5Tj9tYZHG4bdlOiaLFiK1WoWTQMwYouA9UsgZydaMSFb3KKREczkSMxBnvdLJ2wkDD3M9S5gkvHTYrxYSY6BaqREMv6vWRjCRINW8lY1pPo8rF+aprAdAsT2Ryh1FG2LxniCkHgh8ZbSXb7eb3yKxgL0JRagbNU4XB6H6a4gpb0MHJhKz9bX2Shz8Ibo9M8LN3Ej6uXInT6qAQNbpaeZEX5N2jlFRw84CPi6GRBsZFQwUHKHmPX4B+oyTqu4ApyyVZUi5NmeRr/vvuwjO4jv3YBzywU+IV/ENFmrdNKZNNsGN2JBbHehlJYzV3xBezMOHFZZbpa3EghG2NOgYk5VtE2i8gqa4rF5j46S/fjrNabLQuCgsWygFq1nUTSx8iIRC57XAxZLBYivkYaFR/BihN/3IKleMozKdYVQMVWIaPHmE4OMTqxh2LxzIkQNpcHV7AZiyMMQoBq2Usu7Zjvy3A2WOwSHhe4pAKOcgxrYhjL6AHksUNnrqcRBBbu2I5otz/ncc8VJ5KF3nHHHcRiMbZs2cKGDRuAuvson8/T29vLb3/725evUnixWm2eCYcOf4Gpqefn5z9X1Mva2zCOWRZpO9GoSCLxitad8xAEgZaGJjrUMM2JF5G8r0HmSHEHu/adnajuVCgWK5GFr2Jm/OyNfM7a91mWufMj3TzgOJ4ZIgkSv8qJdMZOzhY5E+VFt1rkPS1T2N1OJN1ARUVTKmiSDUtNQxRFclYVsZCgoeJlJJijK+pn1DdOo9SCPj7OYE8ry7MC1bEo011lSuFWlvY7KcRmSTbvZNh6Pf62BL1DLqRpjVJZQdceI92XRc4v51eha1kf2UVf7ChMrqWt6OJQYju6tJBwPoGa3sLd60ss9oq8Kp7lbuMm/qCsJ99qpzmQ51rtbrr0aaYme4lHG1ls66B9xoPhqnEkvo2x2CH8zSspFbvA8M73JLCO7iG9tocnF+j80jtA2NXIRsnLxvgEyyf2UvN20e+6lHtLS/lRtIWqKdMdceMK24m7JY4oBjoCLRaRVZY0feyjs/R7XNU6jb0kuVGUhZSKzczMuBgZgVqt/n8XRZGQL0jYHiSkuwikbThT4smFnKKA4JMoW8ukq7NMJwcZmdhLpXx6SrKkqPXAr7sJSQmh1XwUsk4qxedgEhXA4ZLxOHScZLHno9hmBlBH9iHNnplv64yHCfrRIkGavnYH/rbziyscIwt1Op386Ec/4uDBgxSLRdatW8fSpUv5/ve/j8VSj4lVTuDb6O3tZWBg4OWpFKanp2lrazut1ea73/1unM7nzzh5odi163aSqYtDz/BckCQnitI6pyz8pFM2ZmYkEomL3+Xsj4kXm7xPCCiM6Ad5ds9vMJ6jUvlENHYtoaptQ4QxGwABAABJREFUPKn5+ok4W99nIdLIx2+rEJWOp7He5FvC3+08uYblTJQXPUqZ21pG8Trd6IqOXBPQbRYsZahRQ6iJOASBWMCBMxrFaAgjRUdJdXTQcijDYLtGu+BGHMoRa42TCXex7LCdQmKSfHs/O503s8LbT8uRLtLJOLZskaHW7SyyK/xCeAtiN9xQ+wO1kSX05FoYTe6lKIQJFTUsqUe4Z02BRR6Tq1M6P6zexG7PSlLNKmvdY1xR+SmOSoiBI2ECUhe9uUZ8poXJ2iD7h7fgCvegGb3USiFa7EkC/Q9hH9tFbG0nj3VX+J1nmD5PGxt1hU1Th2nJzJAMredpaTU/ii/kmbSbtqCdxiYXBZ/CYYtJUYBmVWSVNUMf++ks/x53pU5BoqoRBGEuNXTSxsT4cevb7XITcYdoEL0EC3a8MeXkQk1ZAK9E2VIiVYkyFR9kdGIvtdopNSuCgMsfwulvRrE2YJgBygU3+YztrP3ERUnA7ZVxWyo49RS2zATW6SMoQ7sQ8+fQ91gQEBpC1JoCZEN2Zv0SY+4q/Y4se9XZea6mr2/8Ote2P3+3vzPhGFno008/TalUoqWlhbe+9a08+OCD7N69+zTWBkVRCAaDKIrC2NjYy1MpvFitNs+Gp7deR7E4/PwbvkiQJFfdstAbKZV8pNM2olGRZPKVZ1m8mOR9gkdhSjnK07v/4/QH/AxQbXYae19DbPzMJfyqVWJt7D9O6/tcuXQZ7954aF4uCAj8smhjwczh+W3ORHnRLZa5tX0Mv9ONJikg17CXJSpSBd1iBaGGkK/iN+yMh0xaR00Gu1QWDEtEfaPI3jZ8h2rEm8ZIRhaw7LBKMT1Krm2SZwM3cJXRT3C4nXg6i1rez+ziGYzSSv7QfCnXeh7DN6bQlFhKITPObE3AV7bhSD3M71flWezWWJ218J3yTRxtXEw5IrDR8gxrKo+RjXcTm2xhgdxOW8pN3pJi38hmDKcDUVlEuRCh2Z4lMPgo9vFdRNe08VBXns2+aS51trOxWObK0V3YVS+D7ku5r7yMH063IlnsdLa4MQIWRhwCUdEkooqstmbp4wAd5QfxVnYDIhZLF4beSSoVZGxMnZ8oqapK2NdAo8VPqOLCn1Dr7TaPQRHBK1JSiyTL00zGjzA2vh/9lE56FrsDd6gFqysMYpBaxUs+7USrntnKVSxz/n65iKMSx5YaxTJ+EHl4/1kr5echSQjhBqoRP5mgjRm/wKirymF7mv2WGHnh+Ys4P7X2U9y+5Pbn3e6FYHh4mK6uLhRF4ZZbbuH3v/89+XyeHTt2EAgEuP/++/nwhz/88lQKL1arzTPBNE02P7YEwzgLbeFLiLrJ3IqhhymWvKRTNqJR6Yy51C9HHCPv65DDNMUcF428T3DKxJzTPLn7l+dUCBfpXUmxdCWVgnLaOlkVWZv/Pfanfn3S94fesZ6/6DhezLjJ28f/23XcjWWqTvoK/0JJP/6bOuUit7VO4XFYUCUVJAXNKCJIVhRNx5RUCjYBJZnEZQ0RF6M06mEypRFyrV20H9KYDQ6QjCxm6RGFYn6ARFuFIw2ruTIRRR13Us6WiPueJuS38BvlDYTaE6xPHcAysQZntsxIMYm35seRepTNy7MsdFXoyQX4jnYjU5EOXOEi13AvHeUEo8MduGvd9OaDWAWBgeQOZstRrK4llHKtNNrKBEe2YJ/ayeTKCA90ZNjnz3GVNcymdJy1kwfI+1fyrLyGnyQX8mzWT0+LG3uDnahLYlDSabBIrLFm6eMQneUH8VZ21rP81AVUKq3EY16GR0RKRRNBEOpuIEeAkO4hkLXiSkjzbiBBFTG9IkU5T6I8xeRsP+OTB06yHkVJxh2K4PA2IakhdN1PMec6q8Vod8q4nQYuMY+9OIMtNoQ6sg95cvCM289DURAiDZTDPtIhG1EfDLtKHLZlOKDOUhHOzaIFkAWZRluAiOKmSbQSMeCKxnWs3HD+DXcAhoaG+PznP88DDzxALpebtxCuv/56tmzZcpLrCGDlypXs3r375akU4MVptXkmVKpxnnji/FvgvRSQJTfynGVRLPlIJa1EoxLp9MtbWVxs8j7BKpH2p3h6391ksqdXH58Iq9NFsOO1xCfDp62TFJE1tS04N5/QzFyW+eGHe7jXeVw4/LzqYcnkcYbVv/D/HT88gfKiSy7y7tYZHG4LiikiaaA5ZKSqCVSgJuFEZiZkxTMRJ9/ciHt8ismuCD2DBgn3EZLNi1jUL5KvHGKqxUepMcjKUYlytIpQmCDWO0RRW83O1iVcKz+Oc6SLUNrFaG4CWy2II/0EW5ck6XWWCeVb+L5wE/HmEN3BSa6q3oOc9hCf6KLTaKO55CRaHWYovhfV3U2l1ElQNQiOPYltZhdjy4Pc05YgHhLYKDjZNDNCTzHHkGcDv68s465oG26fj0DEQdar0K+auFWR1bYcfcIhukp/wFfZjiz7kaSFFAsRpqcdjI2BroPrFIZQb0xBnss1FSwShheKUo54cZLx2cNMTR0+iUfL4fXjCrag2hoxCVA5Q84/1BviuDwybruG00hjz03VXT7De5BSZ79vBKsVs6mBUqOXdNDClM9k2FXmkDXJISWOJpzb82aVLIStQZoUJxFBpUk3iVRKNBczNGVnCWWmkcxTlMjCm+EdPzvzAc8RfX19FAoFCoUCX/7yl4lEIrzuda/DbrezcuVKtm/fTrVaxe/3s3z5ct70pjfx8Y9//OWrFE7ExWq1eSZks/vYtv31F/WYLxXqPC11ZVEo1i2L6WmBTObl54a6qOR9ikghVGRr/6+Ix587qNe8aD3Z7CXzDdyP4Ux9n4XGEJ+4XWdSqlsjl3sX8a1dx11N21rfx1sGrpv/3KmUeHfrNF6HE1M0MCUTa02iIhsgqxiigVkp0FByMhY2aB7RGepUWDypEFeOEm/pZeERkYy5n7HmTnxeg/YjfgqJDGXrToSIyiO2V9EbHqJnokow1sVMdhKh4sGR3c6ehVG6nDWUQhc/VW+g1GJntWsPa0rbSU62YsktoLsUwNQL9M9uR7O50Ws9eCSV0NSz2BK7GFrs4p62OFLIzqYaXD15GKulme3KWn6aXMj+WoTWFjea38KADSSLwGpbnj4O0115CF/5WSxqKybdZDINTIxbiEZNFEWpU0OofkI1F/6kii1bt7LqNBBQEDPECxNMRA8xNTMAc2JlPuffFUaUQ9SqXgoZ12k5/2dL8VSGdiNUztzVTLDbMZsbKTa6SQZUpnwmQ44CB2xJBuTE2UILJ8GlOGmyBohIDpoEmSZNI1Ip0pRPEclECeRjz3+QUxFZAf9jywvfbw6JRIJgMIgkSdx11128853v5IknnuDKK6/E5/OxadMmHnroIbLZLKlUCq/Xy7e//W0+9KEPXRSlcNErnF6MVptnQ6Xy8u6f8EKgaRk0bR+wD0WBUEN9kWUvstyGrjdQLHpJJesxi0zmpbMsCsUC+4qH2QfIFpm2lhY6pAaaZhwvnLyvZuCYsnKt951UFtXYdvReJqcOn3HTycPPYvcMEGh5zUmNfAzdZIe5llU32/De900AzJkYf7t5Kbddk8UU4Mn0YXa1rmLVeD1tta+0AziuFDAMRB0Ew0CQBBRdomQxsOoyYqmGaEqUXAFmidMa9zARzrMg4SAmDpNu7mVBv0lK3cfR8BIWyHnc+9yUchNkmg+QVNcy3hLmxuIO3PsWU82kmCmlcRTHONw5TtsCnaZCHz8RNmFfXOVq6QlasnFS+xdiq7yOFWWVsewB9tUGQOzFYdlAS3QH1tRP6F+o8qtL04T8Djblk3wtHmU2voIHq8t5e+7duO1B1ICViXaRolXAYSvQJ+ziXeWHCVa2YRHrXcQSiW72jCwkmzXrDKHOIH2yhytdNlwJCTEnzNNA5B1ppsxxRqf3ExseAercVq5QI05fM20Nr8LQ/ZQK9Zz/fF7gWKdci13C6wGX/8QUz/3IY4fPmOIpuFwYnd0UGl0kAiqTHp1BZ5591gSjchp47or6gMVHk8VHRLLRZEpEtBpNpQKRfIKm9BSu8rlnF50KU5Qx7CHK1gbyapC0FCCGj6jcwpvP+6jg8/nwer2k02mam5t55JFH+NznPgfUs4zsdjvCHDHg4cOHSSaT3HHHHRcw4sm46JbCi9Fq82yYmPwp/f3/+6If95UAWfYdVxYFL8mkhWhUJJt9aS2LefK+jBvv7OlxgOfFXCHcrqmHODp89k56LX2Xk06sPTnYKMBK9xD+3/z9/FdH3raeP++qxxfWeXq5c/fDQJ3y4mr+dZ6fv0sucnvLNC6fFUGTEARQkKmJVUxZQjeruHMyRb8bvTCBw9ZGNT1Muq2N9gFI2Q8x3LySVZkcjEpUxMMUmg22ua5mpauf8EgjlqREqlDEXhpntHWIRjfMllfxe+8lNEdmuFx/CmnWgZRYRHvJR74UZawwhiG1YjX8NMQPoOZ3c7BL4KmOAp1OC1enYnSXRfYoa/hlZhGDSieesIOkW2LGJrDCUWCJcITuysM0VPehKAsol46lhgoosp2It7HuBio58MVUlIqA4JTRXHM0ENlRxqb2z/f2trncuEItWOz1wG+15CGftqNr0vx1cLpl3PZTUjyH9yLFThfigs+L3hQi3+gi7pcZ99QYdBbYZ4kxJeXOeg9IgkSD1U9E9cz58wWaahWaijma8nEiqUks2vMnNZwKU5Aw7EEqtgYKSpC0HCCGn2nDw1jVw1DZxZGik6GiZZ7W+0SIAgx8+WYk8YVb0Mf60BxrrAP1+J6qqpTLZRoaGnjNa15DNBrlvvvqRXKyLHP99ddz//33vzLcRy8mho7+AyMj//xSn8bLCseVRSOFgodU0srUlEA+/8e/zBdK3meERQ4kn+Rg/5lNcac/hLvx1SSjJzNDntT3WZL48YcX8FtXvRL6uzRy6XC9xuFEyosOucjtzVO4vU4MU8AiiFRkHdVUUDQDU1LIWmv44kVKoRBKbJJUayOtRw0SrmFmmhazYtykOJOiEDrAtHsNpbCFNbM57NMhErkUajnBbNNBPG4Lw9p6tgf7WBw4wvLcPmrRHkL5NhzFGqP5IUo4sRqNBNJDKIXd7O+osb+zxmIZrkglUMxmHtaWc1+5DykUoOJTiToFFtiLLBGP0FV5hCZtAFHsJZ9rZHLKTnRaosHXQNjiJ6i5CCQt2DPSPA1Ezkgykx1ldHIv6XR0Lue/GZs7jKQ2oFW9FHLu+aC/KAm4PRJua/W5UzwFASEYQGsKkAs5ifklxtw1Bhw59lpjZ6RAB7BIFiLWABHFRZOgEtFNmqplIsUMTdkYDZkpZOMMXNhngYmAaQ9QsTVSUIOk5SBxfERNL+NVN0crbvoLDgaK9nnW1vPFti9cR8j1wim0j/Wh6evro1ar8bWvfY1bbrkFgNe85jVMTk7yhje8gbvvvptiscju3bupVCrs2bOHD3zgAxd0zsfwilYKh/v/gsnJH7/Up/GKgCz768pCa6BQ9JBMWJme/uMpiwsi72uQOVLcya79D8z7quchCLQuuZrk7IqTGvn0NSQI/9sX65uEgvyv98KYlGaFu5sf73kUOJnyokMtcmt4kpDXBQLoIlgMCU0wMEQDQddxVBSSDRY8ExkSbT6aR2pMB2fRvS10DMqUSoMkWqsM+NeyxhjHOxKhmE5DJUO6YR9Wt5P9whVMNwZZbttPezIJ0SWESw5SxWlmyiVsQhhvZhqxspuDLSXGOnRWGBVW5XUmzAXcU17KEWsPYshGwi0QcZZZKg7QXXmMFn0Mw+gglQ4yPmbB0DyEnSczhEpOhaqjVucBSg8zMrGXXD6Byx/C4W9CtTViGAEqRTe5dD3n/5xSPEURoSFILRIg02Bn1icx6q7Qb8+w3xonI5w+Y3cqDiKWAE2yg4ig0KTpdX9+IU1TZppALobA89+fJgKmzU/V1kDBEiIr+YkLfqZNL+M1D8NlF0dKTvrz9rM2WXqhsKsSbruC06Zgs8koFhlJFUGV0BSBr1y9gIWe869qtlqtBIPBOcLP79HW1sYVV1xBqVTiC1/4AnfeeScjIyN8//vf5+abb8Zms120OrA/mlJ4rhM+316j+w98gpmZ313Iaf2Xh6IEkaQWdK2RQsFNMmljaoqzdqS6GDhf8j7BrzBqHuKZ3b8+rRDOHYpg999M+oRGPgsjOZp/VvfF1tYu4d3XH0HH5BtiM1cNPX0S5UWnUuTdTVGcLisIoAgKpqSjmDKCYWLKCnm1TCBmEGu1Ex6uMtpUIij5cR3VydkPMtG4CJtHoGfMghHXqVaSFLx7MX1+dslXYERglbEfd9SHM92Cki8yWYojmX48hSxmdRcDzXkSrRorq1Vai06e0ZawWVhO3h8k7xHxekoskY7SU32SZj2KVm0hHvcSnXbgsTTQKPsIlh344yqqVaV6jAYidZTRiX1oZrWe8+8Mg3Ryzv+xFE+nkMdROkOKpywjhENUjuXw+wRG3FX67Wn2KbMUxdpJ18Rv8RKx+GiSbDSZct2fXy7QlEsSyUziLj1/wZhh9VKzNVK0BMnIQRKCn6jpZaLmYbhad+P05x0UzqFHx9kgCuCxq7hsMnabgsUio1glRFXEUERqikhZEijKkBNN0sLxPg9nw90ru7nc5zrvc7Jaraxbt45arcb27duRZRlBECiXy+zbt4/Vq1cjiiKiKFIul7n11lu56667znu8E/FHUwqDg2fPHW5ubsZms73gY+7a/R6SyRfGsfPfODcoSghJakHTGinkXSSTdcvixVAWL5S8T/DITKujPL3rbqq145kpgijSsuRa4tNLMOeExIl9n4fesp4/69nJYlcHv9i7BQG43f4NHkv66BILvKs1itfjQBJMNNnEVhOoyRK6AJhV3HmFeFilYazEaJtMZ86OMTPDbKRANLCYVZksypSTQnGGmucARV8De6yX4gllWVEYRp3qwp2zkCglqdUEHCUdTd/NZFOOQrjMkoqCVAqxmZXssS1A8ys4fGUWyMP0attprs1SLoaZnXVTyoYIqfVGMYGsDScWKpYyaS3GdHKQscn9qG43Dm8ESW1A130Uc27KBQsuj4LbWsNpnp7iKagqNDVQbvSRDlqZ9sGIq8xBe4qDSozqXA6/KIg0WAM0qR4iopUmQyBSq9JUyhHJx4mkp7BVi2e9hqbFTdXeSMkSIisHjgt7zcNwxc1A0cnhgp2c9sJzYayKiNum4rLLWK0yFquMZJFAETFUkaosUJSgIEFGNMlgznd0u1j43tIOXh3ynvf+NpsNi8XCm970Jn7wgx+wdetWbr/9dm6++WZuu+02Vq5cybe//W3279/Pv//7v9PZ2cljjz2GopxHHO8UvKLdR1868DTxSg47JewUsJk5bGYGq5HBYiSx6gksegxVn0UyX3jA6b9xOurKohWt1kCh4CGRUJmeFigWL85t9ELI+wSHTNwV5ak9/34SEZov0obivInsXCOf+b7Pps7PP7yQ/3Ad4R/kdq4beJz7Wj7BRwbX12MK4XEcXiuiqKKYBoJsRTKqoBsIopW8y8Q7WybabKdjSiKrjzDZ0kpEEggMuyjkp9BcR0gHm+h3LKXFFWNhooQ8E0Eo6aQLaSw1gZp5gFRjimqoRkfJxUy1k0fV1SQ8XpyBEm2WMRZqB4hUZinkAmQSQaRKIyE8BIt2PJqVqlIhXY0ynRhiNjuOxe3HYg9j4qdS8lIqOHA55TOmeIqiiRlppBT2kApamPKaDDtLHLAl6Vfj6JgookLEGiSiumgSLEQMaKqUaSpliWRnCKfP7M83VQe1Y8JeCZIU/ERNH5O6h9GKm4GSk0N5B6naOVqHArisMm67isMmY7XIKFa5XgynimiyQFkWKEmQlUzSApReJD5LCXDJIi4JXJKBU9RxCBpOoYJdKOOghI0iNjPHjc3LWRa+9LzHcrvdmKbJ+9//fo4cOUJTUxM//elP+cxnPkMmk2H37t08+mjdDdrf38+iRYvYsWMHq1evvuDf+YpWClc+c4iB4rlVM1tFAZck1C+oaOAQNZxiFYdQnVMqRezksZk5rGYWm5HCoqewGHEs2iyKHkfk3Csd/6tBURrmlEWIfMFNMmFlahpKF6AszpW8T7BKZPxpntp/9zxPvijJtCy5gdjEQkxTqPd9vvvTSC4bn3qviOx1cff+p0mEr2bd8Afokgvc1jKDx65iyBIyMsgGgiEjiQIVVceWKZMPeAiNF5kNpCn4O1gwaVBKpdAcw8w2NDHh6qRPihKYcmLNOEnnEog1g5o4QCk4S8WnECz42S8vZbu9F3egQqNjigXaIJHSNIVskEq6CXs1SLDmwFuzADVS5SjRzAhZLY1iC8zn/GtVDzZVOYXFcz9KYhwzEpjL4bcw6dUZchU5aEkyKCewKfZ6fr7soElQaNIMmiolIsUUTZkZgtmZk/z5pmJHszdSsobIyQGSop8Z08ek7mWk4mKw7OJw3kGs+twzVUUS8NpVnHYF27FZvCrWC96U+iy+LAvkJcgIJlnBQLtIs3inVJcBTsmclwEOoVoX6scmluSxGdm5yWUKq5FE1edkgJE657F6e/+cttb3nve5OhwOisWTLS2LxUKlUsHpdPK2t72NT3ziE9jtdu68807+/u//nvHxcQKBwHmPeQwviVLYuHEjK1eu5Otf//oFHWf1UweYqtSef8OLAAFwSALuuZvKKRo4xRoOoYbjpFlCHruZxXqBN9V/FqhKGFFqRqs1kM+7SSQsTE2ZlM/DcHte8j5FpNhQZOvh38y3UQy0dCGoN5BP2et9n3/7OYwFzdx20yB/Y+niVUefpa/wLSJSmXc1TuF22hAVGVUQMTAxJQFdAqVUAZsPJTlDtNVHa1FBniiQt08SizSQdERYVYyhTAcRchWK1SyGPEHFN0PB5cZSa+JJy3JqXoWQe5YufYzGwjR6PoyWasJb8+DVLChVnXQlSqISJ1vNI1n8GEYAwXCjmFacQu54imfiKKJao9DgIh5UmHTrDDjzHLAmyNrNuj9fdhAxpXpRVrlAUz5BU2YaT7F+L5qyFd3eQMnaQE4JkhT9zOJjSvcyWnExWHJyuOBkunJmllGnRcZtV3DYZGzW+ixenAu41mSBqiJQlARyoklGMMmfp+vfIgi4ZQGnBE7RwCVqOMQadqGCg/IZJnVpLHpyblIXw2LEEMxzz1S6UHR1fpLOzvNPw7/00kvZs2cPuq4TCoXI5XLYbDZmZ2exWq0sW7aM/v5+dF1n2bJlfOlLX+Laa8+PhO9UvCRKIZlMoigKLtf5B2IAFjy+l6z28qaHOBGyAE7pbOZn5RQ3WBarkcZqpLAYCVQthlWfRTLP7qd9JUFVw4hiK7VakHzeTTJhYWqK01osng02m43OQCttWpDGaevJ5H2SQCWssX34PiYmDyIpKs2Lb2J2vJvGsMzi+77A2PXdfHNVlF8f2MZf+b7C4/EAt0YmcbksiJIKpokkgikICKaOVbOSVVPItgj+iRxZS4xExIdpCdEdy2GNu0iVp5HlGFlPipI7QFboYsgRwePJ0GZM01KMQSYCmUY8uoq1bFCsZUlV02RrZRB8KLiRDRsOLYctM4Gan0CqTFNyCcQDMuNujSFnnklPDdmmzhVlCTTVakRKOZpzccLpKWx6Dd3eUC+sUgKkpACz1Gf2Y1U3gyUXhwuOk1qTyqKA267gsinYbfVZvGyREBQJQxXQZJGyDHkRchKkheNd1J4LEuCURdwSOEUTp6jPTaiqOITy2e97PT63vDT3vSDIiKIVUbQiCBYEwYogqIAFTAUTFdNUMA0Zw1QwdBndkDB0icbwZaxc8frzHnvjxo0MDg7y5je/ma9//et89rOf5ZFHHmH79u3cfvvt/OAHP0AQBH71q1/x+tef/zhnwh+hZ+Pp8Pv9z7/ROaCsv7I8X5oJac0gPT9hkeaWc89ntogCLrnuBqtbK9r8A3bMDWY7Kb6SxjrvBotjMWb+qDOms6FajQL1vss2GzS3QHOLMKcsWqjVQuRzrnnL4hT+L0qlEgcnjnCQI4iSSFvHyeR9lkmJyy2vRb/8teyeeoTBvb8l1L6QfOka9t/0Nyx99K9YH/bx28UbeU3uEI/Hr8QwTAwdZEHHFCUE0QAT1JpJxmPSmHCQLE4y2unFbbbTOylTLsbQpARHPQUqLWFi6jKqTplmMc7iwgxLUiCMu7BXmjH0MKlqlnwlSkl0omoq1rKOu1bCo02jabuJe03GPDopj0HSY2BXRZoMiFTLNBUzrMinCJarGLqPvBoiJbmIzc3st9bcHC07OVxzMFK2Yq3JeGpzaZPWekaNZJdAFdEUEa8soEoCeckkI0IWg/wZXDUO6ZjrtW4hNwkaDrGKY34ic2yWnsVqHLOQE1j0+mRGNRJQo75cFAiIomVeWIuiFVARBAuggqliomAaCoYpYxj1RddldF1C10Q0TULTBGo1kVpNoFqDWhUqFahWoVIx0S/AW3zJJRZWrrhYvxf+5E/+ZL5q+dZbb714Bz4DXtHuo8iju88hi/m/cSqOPeRO0ZyzWLS5WVsFO2XsFLCTx2rmsBqZenzFSGLRY1i0OIqROKf88YsHAVWN1JVFtW5ZxOMq09P1h/dUnIm8zwhLHEw9xZHhrUQWvhqt1MOyff/EP7+lxldyGd4083HeHhjG53EgyBKCICGJJiYGqqlS1fOUfB5CORElVaZgppkNakhOD9NymIhaorOQQUu4Uct25KpIrpKlWili0WTqDsgEmj5JRUyS94nk3CY5Vw2PoBGpVgjWIFAzcWoCWdFPfE7Yj2luhstuJnUPCTzYbAoWqzTvqjGUupAvS1CUIDs3iy8LdbeLa87t4hLnrFOxilOoYqeM7QS3y+mTiBgWY/YFTSIEJETJiihYEURLfYaNBQQVUDHNutA2TBnTUOZm1vUZtq5JaLqIVhPRtLqwrtUEqlXml0oFKpWXf3fEtWvX8prXvOa899+4cSNPP/00ixcv5oYbbuBf//VfyeVyaJpGKpVi5cqVjI4ebzXb3t7OyMjIRTjzl8hSuBjQTfO/FcJ5oqCbFOatLAFQ5pZz64wnCuCSRFzymdwBlbmZYz0Lw8bx2aNFT9TdAdossnl2+oLTYVKtTgFTANjs0NoGrW0nKosQuZyLREJlairOs8k4zwIO33HyvsXGepauuJzB8m4mjfs4tPp9vH/rvfzhaoW2oklFFzCEerqlYOjogoBsCJSsMv68BWZzTPtKmG1NyKqPjnwCczrAwpJJpVimgIEmZSgyimJMY1gLlAMaMSc4UHFrEu6yhKkFMfBS0H2Usj6O4uMBPAiqAq66kK8qAmUJTAUMBVBMHKJBZO7/7BTy2ObcLnYzP+9Ht5rH/s8xVC2GbORhrr5MENST3CGiYJ0X1scEtjknrA2jGcNoR9cltLlF10RqmohWq8+w5wV1FaoVc252fbGF9Zme8hc+hiRJiKKIJEqIooAoHvssIgr1fH9RqH8WBAFJmPv+2IJwwmeh/vnYnyAgmMc+19c1WSIX9Ks3b96M3+/n4MGDvOENb2Dr1q1s2LCBZDLJo48+yrZt22hoaOD73/8+N910E5J08ToovmKVgvbKTZp6xcMAMrpBZt68Fqm7wCzAucWJ1Dk3mFM8Mb5SwyFU5v3MNvLY5wKHViONzUjWXRJ6HIs+g2hWT1IWdkd9aW0TUdUmRLGZajVIPpfmQFzlUadExNlCh6ed9cWlJLUJpi3rcI8OcI17mGxRxjRB1msIKGiSiGiYQJ5Zd4hwMYd3xo2ppdDNArqkUTOPEHcKZMIqNsGKXbdQNH1EpW5mBQ9xyYWgCCiqjqQYiIqGpNSQpdqcqy/PAnOAFWYRm1nAZhSwmnnsZh7VKCEISt1/rdUFtmEoc+4QCV2X6wJbq8+s68I6SL4WJFlddMLs2qRaPb0Y/EwQRfHMAlQ4XYCKoogqCFgtIpL1uPAUBBFJqAtJQThRWB4Xmie+rwtUAdGsL8IJ70Wj3ph1/r0hIJjHPoOgz302BAQDRH3u1WDuMxdM834+sLsuvLrYarVSq9V49atfzc9//vP5bKTHHnuMN7zhDQB4vV7C4dMp5S8Er1ilYPy3TnhFo2qaJGomiflvjsVXrIDnbLudBNucG8wtmTglox60F2sn+7qtBayuLLZwhrCZxcYhMvoAubKIveokVGhES63Ab0thiDqiaaKjYqoCqiCAoSFUDVCGGfEpWHwW8rhJic2YsoCqaKiShpUaolECo0TAyNFsziLoYOpzgciSjJ6vByENTcbQJWq6hFGTMYwgkjAnDBExBYGSKVKh/p1UF52IJoiISAjIc0LymDAVzPp64dj3xwSlICCqIMhzn/W6QBWOCdRjwtPgordi/S+NiyCfmpqaOHjwIOvW1VvHNjY2Ui6XicWO03l/+tOf5m1vext+v5/bb7+dL33pS8jyhYn1V6xS+G/8N0zdpKqZ5BCoGiIFLKRNC7LuRDZNZMNENEAyTATdhLmlUczTI80SkJLUxCRBaxVNkrHIOqgyFlFCNnWMsoBUVXCVRSTDhh6TkA0ZxRARtTKmUBfgBhImMgY26t5uE0wdMOcayxhgGvX3poFhGgimgWFUwdQxjfo6UzcwTZ1j7hFhPuhbfzUBHdCFurA/SfAI9Rk1c8qFk/Y85XiCgHBMB58whnDCsU755rRzOfO2wombnL6/eWzdiWtOP/bx82W+37IgnDTq/G89dkzh1P0FEExO+nyG/8gJ45zy+QwuKuGU82NuvxP/F8e2qVkkLjSdJhqNIooi9913H+3t7Xz1q1/lrrvuYvv27UxOTgLQ09PD7373Ow4fPswHPvABrFYr/+f//J8LGvcVqxT+21B4ecNqgg2wGAIWQDVANQUUA2TTRJoT1qJuIhjHBbapmxi6gaGZaJoxv1RrBtWaTkXTKdcMKjUdw4Qy9eVEKKLJKneWVc4Mi61xOoRZwkaUrFyl32llVrfSPOrCNBbh9TcxEirizYlglRENCY0aaBIOo0rJbWfMFkATNCxCGtPMUMSgalSwlfI4KiVs1TLWahmpYmBWBHRdQTMsiIaKaliRDRXRUJEMFXQJyVQwJAumZEGXVHRRRUNGR0ZDQjdNdNOsZ0OZBoZuoBsGglhfRMFArE/tEQUDBBMBHUGoKx1BMKirj2Ovel35mDqYxvx70zjxVcM0dAxDw9Trr4auYxoauqZh6PXl2Htd087NH/VfFH3iJjq57Lz3LxQKTE1NceONN/KqV70KgO9+97vcddddpNNpvvnNet+Q97///SxatIhFixYxNTXFZz/7Wb74xS8iiufPBfWKVQoXh+vwvx4E08QC2BCwGAJWE1QTFBMUo/4qGiDpJuLcDFsw6sLa1OYEtm6i1erCuqYZ1DSdas2gXNOp1AzKmo5pQon68mIgoNZY78mw3J6iV4nRKswSqk3hKk0g5yYwKiZHfAvZ6WvlJ4pILlNj06iHjngQp38VuGSkFp1dfpEFIwYFu4ZiKpiiRk2RsZUMkn4vJXEW52wMZwmcepiqzYfoSaK5rEw1NjEpW8hrVrJlG0IFfLUcTbU4jbUYFj2NKaepyGXKYoWiWCYlCSQFMGoCYkVELJvIZQNr2cRTlXFVRDxlsJV0rEUdtVhFzpcRCmXMGhjIGDYXps2FYXOhWx0YVieGakdXbBiyFV22oIsWdFFBE5S6sjElNENEMwQ0DTQNalUDrWqcm2wX64uk1A0MpX4zIUkGomQiSgaCWP8sCCaiZCKIev193WeFINQ/C+ggGAgYIJyovIw5C8uoK6k5JXZMYc0rMEPDMOrvDV2bfz1Rac2/17ST2oD+sSCIFxb4HRoawjRNIpHjAWtFUZBlmUqlwqFDh3C73TzyyCNcccUVWCwWLr/8cvL5PBMTE7S1tZ332K9YpaCeRwOLlzsE08RiCvUZtnlcYKsmyMbcYoJ4gsBGN8EwMbW6sNY1A10zqWn68Rm2Vp9Zl2s6Fc140QX2xcIiZ5E1rjRLrAm65DhNZhR/ZRJ7YQyxGIcc9QUoWFzsaepjd3gJu4Re9ubH6So5ePN+G7fvS1P2rSDavp7p8AQdbh/xljG2uLpYNfIEsmcherGA5jdQiw4smRSFYANmZozWfIhCi8KQRUYpTxKenkaZbsQ8aqXdItFrsVJRa+jWIqI7Rs0bI25xMWQJM8NCclUvuaKDfFHBKBr4Chkiel1pNAtJmqUkIUsci5KiJNbIiRop1cKsaiWpWEhIVhKoJAwrCb1IupJDLecI6XYaNBuBmhVfTcFTkXFVBBxlE3vGwFLUUAtV5EIZIVeEXB4zf+a+BYbNienwYDo8GPa6sjGsTnSLA0O1Yyg2dMWKLlnnLRtdUOrWjSnPK5vaMWVTM6lVdV4CWTyvvETlxImjgSibSKKJIJmI4pwiE+uKq/5at7DmX+eCLccUl8Cp1tecq888boWZJ1hgTn/rBf2MY5UCW7Zswel04nK5+NSnPjW/PhaLkc1m+elPf8q//Mu/IAgCfX19wInuuPPDS6IUNm/efMHHEIV6ILD6RzJhRdPEgoDNFLBg1t0ic7NreW6mLel1t4hwBpeIrtXdAJpmoM8J65pmUKkZVDR9TmjXn6JXgsC+GLBJOqvdOVY60yyyJOgQZ2jQpvGUJ7HkxhFqBTgLM8i0t4Vd4V522R3s1jIM5CfQzWnWxOCNExE+uTuIOZ0mdc1VHFjSjqgeJKLMovq6mWl/mvtsV7Np+l5syR4mW114UyniSjMt6VEmO0NEjkapNrcw6EnSMpplmdCD1uxh96JWxJyOt3IEd3YfloQXOd2NgYghO/BbwgRklTaLRE4sYzgHEBzTqO4EuQYHs7KfqNjMfvrYXHFRKsoIJQFLWccoapTyVWzpFM0k6LVl6VPSNAkJQmYCby2HrZSFcoKU1UnS4SfhdZOwOEgoKgOSREIwSJg1ElqJZC1PqppBn2ssL5sqjYaTBt1BqGYloFnxVRU8VQlXWcBRBltJw1KMoRYmkWdLxxVK8YVXFBtWx5yycaPb3Zg2N4atbtUYljnLRrGhSRZ0yTKnbOQTLBtpzrIR0HSTWtVEqxoYLzjLRMTQ6uL8j4UWWi5o/56eHkRRJJVK8atf/YpwOMznPvc5NE1j2bJltLe388QTT7BgwQK+9rWv0dTUxKc//WkOHDhwGmfSC8Ur1lKAenVvVTcRTRMrAtb52bWAapp1t4gBksF80FE8Jeho6CambqDXDLQ5oV2bm11Xj7lDjs2wgeLc8t84N4QtVdZ5Miy3J+lR4rQSJVibxlkcR8pNIZT059WAuiBxJLyQXcFWdisSu8ozREsxqAxBBS4vt/Le8RV07pqBoVGqCxqZWPMhJnI2XK5+hMzDrA3czH5nFFvPA9wtvYnXHn0YIS7gcjSxAwjrOg1mkrgjS+dMiENtdnoHZuluDbKnN0hbdBuOI+2sd/rQG/IMhJt5yn0pCx3j+DhAuZrENa5QTPWQo4WCRUM3swRUB355DYJqxyrXEKU8bilOn3MIlzuDzZ6gaNeZlsLMyguYopVxI8z2cjvbyibeKjiqBkJRp5KvkjaqxEolmrUCS4QcvUaWjmqKFUKKkBnDU41hL88gFaIIehVDEEnb/SScARJ2Dwm7g4RiISFJJEWYMGsk9CwJLU+ykqFmnLns2GJaaDRcNGp2gpoNf03FW1XwVKS6hVIysZUNLIUaSqGClC8j5QuQS2Impi6qoDEtNgyHB8PpqSsauxvD6sCYs2x01YYuz7nSpDO40UyxXiSnH7dstMr5KJuzQ1YuzMF9zFIwTRNd15EkaZ45dcmSJSxZsoSf/OQn9Pb2EgqF2L9/P48//jidnZ388Ic/5G/+5m/O/9wv6MzPgmN9Rs+GgwcPXpDP6xhatyWZSJWoagYG/y2wXwoIgslSZ5HVrjR91gRd0iwRcwZfZRJbfgyxlIQs9eUcMe8K8gTZJVTZlx+noOUhf2h+m2uKHbx6zE/bzinM0WFMcYz81W9nfN1nmU3qBOQharmnWdTyRiT7Ejbb9tK+eBd3mh9kQ/8epm1H6SptotpQxFYF3ZBwFWrM+ryUB7MEmuzMtMwQGrGyvsnNE+2X0GQ/hD41gjS4iCUzPrr8s6Sa4uxUNxKfdnNj5GkqtiMMsxffqExz3AviYkadBmVhCl2bwi2q9Nqb8WYWU5oySFrKFKUstVqCBts0iwNHcbkyyEqUkiVBzLGAmLqEaaGTCTNEquajVPYyqwmgw2jVRC0baIUauWyFeKZCqlBFEEwW2EsscebptWboUFJEtCQrqnE8tVlspWhdcZxCf52xeUm4giRsHpJWJwnVSkKSSYiQMHWSRpm9Wp5EJU1ZP0eGYtNKRHPSYDgI1mz4NRVfRcZTlXGWwV4ysZX1kxSKkCtg5vKYp/KbAEKlhFQpISWj535TnQNM1Yrh9NbdaDZX3ZVmddaVzZxloyt2jGMxG+m4G+2YstENkZoGVuuFKZihoSEMw6Crq4tXv/rVGIaB3W4nEolgtVpJJOrJ3D//+c/56U9/iiAIyLJMKpViaGjogsZ+UZRCU1MTu3fvfs71FwOGYVJ9BRHivVLhkHXWubOscKRYaEnQLszQoE/jKU2g5MYRamVInv/xo94WdoV72GlzsFvPzruCyEzPbyOYcFOxmxtHPDRvH8Ocqjdt0vyNJN/4Z4wYnRRyFYLKEGZpM+7aSi7r+hCDjgQDPEXH0t38M5+ldf84XZ6HsO/rQQ/ImMFJvAUvtRrU8l4mXSot0rOER9bzeO9S1MpmjInlXFm1sK83Qoo2GqpPIA91Us6HaUn04naX0Jq3s6eth4PJTTTMzrIs+BiV1nF2qLO4x0WWHpVQ9Q4ywV6G8lZMaRi9OoZSrdHk7WKpfSFqfiWZZImEq8Q0WWYKCQwxRSSSpM87htUWB8Ypm9OkbcuJW1YwI3YzQYSxmpvRio2sbuAwIaILqDUYKxuMzbmlUpkKs5ky2tyMWBIMFjjKLHHm6LVkaFdSNAlJAkaMxaUY1uQgUj6KYJ6ZBKhocZJwBknYfSSsThIWGwlZISFAUjBIGBUSWpFENcOwkGaY9Auh+QLAadiJ6C5Cup2gZsVfVfFWZdwVEWdFwF42sRU01OKcQimUIFfEzOag9sLIloRqua5oLoKyaej+FNB73vsfsxTS6TT33Xcfvb29bNmyhfe9731MTEzgdrsB2Lp1Kz6f76R9L7Qt54uiFK677rqLwm30fLCrr2jv18sKbbYya90ZltqT9MhxWswogdoUjuIEUn4aoWhcFDPs7K6go3DKpFBC4DW5bq4fdtG4fQRzph+opyNXllxGdMWbGI3Z0VM6oZYhiunNZMcUblr2Acw0bPb1I7uHaW7ZyR38FZ49ST4pf4d7Z4N02VcTsdrY487iT86CbkfVFEyXwExDkfBonEuyJk95rmFB9T6M6GUs10JMLBzk6exbuXbBbyjODJFLbKCQ12nLrGa1U2Nl5HdMLPTyg9rryE5YWZfcy9WuJ5i+JMmDjiPYJg9z6ZCCL6qQb15PwtnL0XyRCW2YWnmUWjpBa8Nilnh6uFTvQEtrpMwqyUyRcSNNNBenVM7Q3CzQFsrT59yMJE9Tq42g6zkKSg9xy2pm5IVM08KY7mO4amGmWqcxkU2TRkMkqIGjYiKVdAYLNXZmK8xGy+QrJ1sOimiyyFFksSNHrzVDu5wiIiQIGAnc1RmaSlFaknvPqjiOoSJbSbgaSDi8JKwukqqNhKKSEEUSgk7CqJLQSySqWbLVHMdIbPJilQExwYCSeM7jnwkew0lYdxLSbQRrVvxVC95aPcOrbqEY2Io6arGGXCgj5UswZ6GgXRhppOi4MMF8LOvoPe95DzfeeCMAPp8PSZLYt28fr3vd64B6wPlYcdvFwotCiHexqLGfD2/99tM8O3wBU9T/QpAEgxXuIqucKfqsCTrEWSJGFG9lEltuDKHy/P1yzwdndgWdXbuopsTrc71sGrIS3HYUM3H8+hqySn7Tuxj3X8LMTL04LNQyRWZ6M7lEjKvWvYtIrpWZYIlHS7tYsixGzbmPO8T/i/dAkW8K/8jX/PCOzQuYjDTibmzlieUaK488i3W0Gb+3g52rEjSOTGIds+P1dHNk2RTVMQlvfBf2/BU0+P3M9OzhPulyNo5tJW89QPseH1Xb5VSlWbqcHUzbq1RCe9AasjymXMfIbBjrZJab9Ge4TniSQw6d3zudEK2wadRF24EM5UAfqdb1zNT8mEIKi22GSmGY3MwYbZFltAQX4RVCyCmBsqiRDlaIWQrE9DTR9CyFYpFgUCDSpOP15rFaYhjmONXqBGBSEYOkbOuYlfuYEtqZMIKM1GyMlY2TWkf5TGjURDxVE3Uu+F3IVUlmysRylTOmr1pEg8XOIosdWXqsWdrlFGESBI04rsoM1tIMYnEW4RzTkWqiQso1Z4HYPSRUe12BzAfSqyS1MolajlQ1g/EipDkFDDuNuoOQZiegWeYtFFdFxFkCe9k4njJcKCPmiscVimHQ9LU78Lz61ec9/rZt21i/fj2CIGCxWBAEgWq1iq7rNDY28vOf/5xNmzbR1tbGP/zDP7Bq1Sri8TiPPPIIy5Yt4+abbz7vsV/Rndc+eNd2Hjw481KfxssGHkVjvSfLcnuKBWqMNmGWBm0aV2kcJTeBoFdf9HM4syvouWeRVlPmTZlerh5U8W0bxEyfrKD0UAuJq9/LcLWFQlbDxCTUPEMu9hiZmUm6O9eyNnQjRrLG3q4Yu6b2c/XGaRLiNP+Xv6J1sMLHtV8x6R0iuMNG2f52mh054p1T/M63hptmfoGzfxE+XweTS3ayO76Cvtl7sBYux9Zq5cF2L1ePbkYbKWFyCa3+ANMte3g8tATxiM710t0cTgssH+wlGuhDNkfo9Sxj3FYk69mPt2mYZ6xX8kRhGfaoiW1qjPc6n2VV+XG2+n08YLeRiWd59WQDi/alMfMq2WXXEXf2MpsEhyeNok5Tyh4lOTlMc+MCOiLLCajNWPIqZlaj6DFI+crE1TwzlRQz6RiVSgWrVaC52SQYKuNwpJCkaWrVYXSjrph1wUbGuppZZRlRsZsJs5ExzcHRskDplMCr1YSwLuDXwF45IfidrTCTLlN5DleuTdLrisOeo8eaoU1OESGBX4/jrs5gKUURC7EXzL5rCCIpR4CEI0DC7iZhcZJQVJKyREKgnomll0nU8iSrabQztBC9mBBMCBlOvnLtHaxrv/y8jnHXXXfx8Y9/nGw2y/XXX88TTzyBw+GgUChgmibvfOc7cbvdfP3rX6+T90kSpmkSCoXYsGEDf/mXf8myZcsu4De8CErhRGrsjo4OPvjBDzI4OMi///u/4/P5+PM//3M++MEPXvA4n7t7Lz/fNn4RzviVg257iTXuDEttSbrlGM1mlEB1EnthArEw84IfqgvBWV1B5wCnqfLW5AIuGxDxbD9Sn2GdgvLKa5juu4WxWRVdq/+uQNMsxdTjpKZGcTh8XLvqdmxTFvI+nc32Q+TLs2y4bC/Tpsz/5Qt0jde4JLGV14t38fdKA+/ZdSmjTS6W+JYT7fsN38nexltq/0Ro72osgQj5BUf4iXE915e+RWT/5bgCfuJ9B7i7dC1vyX8Xda+HtGs13e4GhhsPcbTdwc7R5Xwk91OedidYuk1FlTYxaxOxaZMsDFzCqC3DjOUQre2HOWzt4kFuoBi3IE0UWVg4zPtdT9OUfZrHmnp4wKowkZrlDdFWVh6uYDk4RnHZNaRa1xOtBsjnyniCaWRpinxqiNTkCH5fE91ta2h0dmAvOyGlYZomeZ9O0lshLuWYKSeYScbQ9bqFFQ5LNDbW8HhyWKwxDGNsjlywDhOBnNpHwrKKqLSASZoY1zwMV2UStdOFv2CaNJgiIQ1cVZBLGnpRI5etEEuXSRef379vk3SWOIv0OXJ0W9K0ziuOGK7qLNbiNELx/GnbTQSydm89E8vmJWF1zAfSkyIk0EjoFZJa4QUF0s+En7/65ywJLjmvfUulEuFwmFKpxPe+9z1uu+024vE4DQ0NvOENb+DWW2/lLW95C7qus23bNrZs2cJnPvMZ/vCHP7Bp06bzPudj+KMohVwux1//9V9zww038Mtf/pIvfOELHDhwgEWLFl3QOH/7wGH+ZfOFRdpfbjgjRYM+jacyhTU3ilA9XXj+sfBCXUGnwmNYeXuil0uPmDi3Hzlj7rupWsle825G3WuIzx6f1fnDCSr5J0iM16/3paveSEdtMWZBY7grz5bYTkIhncV9jzAttfHX+qdYOKujDBziB8IXua1nEX9+t5VDPR/GLe5GaukhuWwXvx24kRtt/4+e7RvQg16KbUXua17E2wd+ReaoRtW2Gm9DAwNLRxg60skSyy/oeTrCdGApC92N9PtHqPRE+VXmtVw9+ixL7X9gS9HCq7e6mWx7PSVpFJeeZ5H3Eo7a04wKh+jqHSaulnlUfRc70iFaEjVmh+K8w3OQN0pbsGT38XDbch6wiAykJnhjopNLBgTcOwap+VvJrriRuLOHaFxEFKu4/UkEYYJcbJD0zAR2u5uejnU0eXtxG37EpIlZMzAkk2xQJ+EsEhdyRItx4qnEfFDTbq9bFYFgCYc9iShNUa2OYBgnE4mU5RbiljXE5MVMCW2M635GahYmKsZZxfWx4LevBtaygXmW4PfzwSHrLHUWWGTP0mPJ0DrnqvLrdVeVpTiNWHrh8YczoWBxzWVieUnYnCRUW12BSAIJ5gLptQKJaua05+CBNz1As7P5vMf+yEc+woMPPkg6neZrX/sag4ODfPWrX2XDhg1MTk6ycOFC7r33XlKpFF6vl7e+9a0UCgXuvffeC/3ZfxylcOWVV/KjH/0IqEfVw+Ewf/mXf8mHPvShCxrne08M89f3HLwYp/xHxfNRNJyaJvhS4ZgraJfNyW49w5FzcAWdigbdydsS3aw9VMO+8wjmWZoza01dxK+4neFimFL++O/3NabRyk8RGzkMQHPTIi5vfyNCVKdqNXmmeZT+ySH6+kwaGn/DtOUS/qr2URalTSa2j/BE4Mt8s60H+4DA8ugGJvwya9yLeMa7h8ElDRR2q4QCd3PZE+vJhayUQx72rIDwngwleSt9wzcT8MhMtx/lvsgaNhzYw7RrB1c/0cFYuJvFzgiH3dPYFu7iLv02XIdifF68kx/6VVbtkmma6WQofBmCuJugaKfbvpohd5L+6mEWLppCUw/xjP027ikvIZgGcaJAeXaaPw3vZWP5IYrlGR7qWMUDss6B9AivzXZx9bCNhh0jGJkCpbWvItW6jmg1QCZZw+Ko4fbFMfVxMjNHyCVmkSSZzrZVtDX04ZPDKBkZs1D/H2uqSTpYI2kvMWvWA9npbHr+/y8IJpGIRGNjFbcnh6rOoOuj1Gqzp19DwUXSuo6YsoSo2MmE2cBIzc5oGSrPIWZODH47KyZiSaNW0MhmK8ykSxQqL+yec8kay10FFtqzdFsytEopGonj1+M4KzNYitF6qvRFRFmxkXCFSNi9JK1uLn/b3SiK9byP99RTT3H55ZejKAqGYaDrOqIo0traSiKR4P3vfz//+I//iNvtplar0d7eTj6fZ3z8wj0nf5T0neXLl8+/FwSBcDjM7OzpN9ULRcj1AvPb/oh4IRQNLwe8kKyg50Oz7ubts12sPFjGsqsfajuAM5MYltbfzFTPTYxHZYxZE6gLK08oC9pWpg/vB0BVbFyz7j14Yh6I6sSbqjxS20N2MsuGy4oo8q8Zt97MX1feR2/eZP/WSR7v+DH7ZCf3pUb4xwcc7Fi3FDP2K0qOhfgapujXL+Gy2rOMCSZCzaBcK2IzmujQ9/OgcjWvs27GldrOsNxBS2w5r224lzub3sXno4f5zdphbtpu42CjRp/ZwpGDl/LBBXfybyvfymeOfIYPJn6DuHAfP+7cy3sfPkS67RYmRA9Thd/RUe3h1eJlDB1N0l9oZt3CPVzt+A4HGm7kgdANxLI93Jno5IuzV7JKneaj2Wd4c+L3JGSJB9skvt2aZf/KDNcVOrlxbILWrdtoHhmn1rGE3IobiBs9RBPNaMZ6/O1lnO4YpdoYWw/9huKcwG8KL6CzeSVBWwuhooPglMoCPEA7VZtBKlgjbp0LZGdmmZoyAN/csginc86qCBSx2ZOIwiSV6ggNpUdoKD3CiY4TU5DJqCuIqyuISt1Mmk2M6S6OliWyuoEmCExKJpPHOtO6ZeqiqU6j7jOhsSbiqZlYyjp6QaOQr5JIl4nnTw9+5zSZJ1Menkx5gDPTTfgUjaWuPAvtObrVNK1SkkaS+LVZHJUZ1GIUsZw+53veWivRnByjOTkGqgsuQCEA/PjHP0ZRFG699VZuvPFG3v72t2O1Wnn961/PXXfdxZYtW1i8eDHf/va3cbvdvO1tbyMajVKr1VAU5YLG/qMohVNPUhAEDOPCMwYaXkKlcCEUDS8HFC3OOVdQiJ1ChX35idMKxF4IOjQvb5/pZNmBAsqeI6BtP+u2hs1J5tr3MGpbRjKmzfXIqT/Z7kABUXiG6JHd89uvWHIDi5X1mNM1DNHgQG+CZyf2Ioom1147RbX2MCPOt/Kl0tvpKpsMPT3FnV2P4Yxt5QtdC/ji093EL7keq2OY3sarGHGl8DhHiedsLJBmGKjW6apLlRwhTaW5NkrB62BFTGBreAZv7SqkXJrc0QVcvngrd8Rv4wvaV/ndov1cMbSBg4yxhFaGj1zPmzt+yzOLVvFP029h0fACPiffyR1vDrP84AOs2mYwvPJ9TFQTDCR/wjLpCl5f2cDQRIod2Qa6elJ8JvAFJuxhNvtuZ2djiMliiD8f62Yg/So+0DzM25NP8K6ZrUy7Gvh9q41/DSc5tHiatZU2bplysGDfPfgPDtKrWimtfRVJ+zpmil1kkq0gXU6wq4DdOUutNMr2w/dRKdTdkR53Az0dawm7unDWPDROSTTqFsAPdFFy6yR9VeKWPLPVFNHULP39FcA+t7QgipfQ1CTS0FjB7c6iKDPo+gi1WgJvZQfeyg56TrkXCko3CctqZuRFTNPMmO5nuKoQrR6XDykBUqpRbxDnECFwrFuc84zB73K+SuZ5gt+pmszjSS+PJ72cTXEE1BpLnXkW2XN0qWla5iwOnxbDWZlBLUwjVM5Qlem6sKY3+Xx+Ppbw+OOPY7fb2bRpE1u3bgWgs7OTnTt38uSTT3LZZXUm1kWLFjEwMMCvf/1r3vKWt1zQ+K/oRP8XWylcDIqGlwvO7AqKQub8C3UW1oK8NdpG374M0r4BMOLPub3WtojZy25jOBOgktfhBDeRy1dEUXYwdWT7PCVzINDKxkXvRJ4CkxoFr8FjrkNMjUdxuQUuvXQP5fJeBl3v4f8Wb6G5CjNPR/kfkUGumPgOn191E0snivifneDpS9owMj8i2PInPClvJSS5seZNOoRptLIBgogpgF1TKVctmB6DQ9HFHOw5zOu3HOBoUGJxdg2e1L1s613Fd3a+i9e7f8xAcBsduevZbx6lz2xn5ug1LGvcSqTxCD+xv5kP7/88fx/7CYc6M/xdU5VPbPkuurSQ/uBbGS4Psmvie6y3v5Y3FS7l6GyaZwb8NLdkuLX1G7yGWbY1fozfuRdh7XawNRnh54OLULW38r/sB3lL9BHeO7uDsWAnDzT7uSsQY7BznK6bg7x5pp3lh47QcvfvaKnV5q2ImLWHmZlutGongno1jU15LLYolcIIew4/zI7qfUDdMuvuXEtLYBFeIYg9JWEblWjGBoQwhV4KPoOkt0xMyjFTTjKbijExoTExoQCBuaUPj0egudnA5ytgsyVBmKBaHcU0NRy1IRy1IU7lN6iKQZLWtcwqfUSFdsaNUD2FtmKgnWAZlAUYkU1GZMAqgOeYlWE/KfjtrNRTbGsFjXzu3ILfiarCY0kfjyV9cNoZ1tFgqSuOhfYMXUqaFilNKOA/Tfm9EAwNDVGtVvnTP/1Tfv7zn89TZqdS9VnmjTfeyM6dO9m9ezehUIjf/e533HPPPXR2dnLo0PlN6k7EK1opNHlt9T4b5xkVeTEoGl4OuJiuoFOxrNrAm6daWLg3hXhwEMznVyrFy17PZMd1TEwLc5sf9xE7PGWstl1M9T+DOWc9iqLExvW30ZCKYE7VvxvtKvBYfCfVWJXmZoFFix+mXJ7ksPvDfCV/PQ0aVJ6Nscoe5xOZr/L7BVdyf+oAP/19K9PXfRyXMoFPW0LCXiLcnOKIejlyrkaoOomBBVMQEUQFW00hn3MRasrz28pyXqvtxtAPgPlWSqVpsmOreFvfnXyr56NMj1xGZeFualsfwqe9kQO5QRabXViMy8nnt/Gxjr/nG2s+wacGPsprM1v4au1n/NUtThYOHeGG+55i5tL3kXW8nSP5/aTHf8MV7rfy5tx6hrMZnnnagz+Q47ree7ii+hcc9r6f+93XMB0KsLIU4s7xMJ8aX8UGb4b/advB+44+wAdzEww1LOD+phb+zTPLV5unCF7j4C2JLtYfMQk8/B38+QILLDaK624m3bqOaMXP7LgL6EVxX0somEVRpihlhzly9GkOHXm8fqEEgfaWZXRElhFQmlDzKs6khjPpoA0HEK4HsgM6SVeJmJBlppggloqTyZhkMgLgnFvakOXLaGoWaAhV5mk9NG0ETUsDoBpxwsUHCPMAx53PoAtW0pbVxNVlRMUuJs0wo5qTo2WB4inBalMQmBFMZo4ZFi4JQvM+KpwGRAwRb808HvzOVUllzz34PVtReKTi45HE8ariN7tbuON59zw7joV5f/zjHyOKItVqlS996Uvk83Wr7pJLLkEURT71qU9RKpWQJIlLLrmETCZzwQyp8ApXClZFIuS0MJs7u6R7sSkaXg642K6gU7Gu0sTrJ8L07Ikj9B/lWE/k54Lh9JK+9r2MyItJJ2qn7WJzVXA49zLV/zSGftxiWNBzKau912HO1DAxqFlMnm0d59DEAABLlxoEQ7+mWi2wz/NJ/i57BV4TrDsT1Kp5/tX5D8waTv6aOJ8bX4leSDOQ8KHKD3FJ1zvY7ZimITTNb8xXkUuWEYwYVrMFUxQRBBmbLpFKWuluHuJZ1xI2pDJ8a7HMxqkUQ9owq+VN7B1v5Yru3fwycT13JA7wjxsqvOuen1Fpex+HcntZaHbRo29g7wGJzy3+C+5c+nl+O3kdf+hv5duT3+L3LX4+c7vO57bdy7qBCsMbPoziW8Cu+NNU4jNcEXgrnZl1jLhzbHvGjdXWzfKlAyzR7yRqvYJHPLfyoN2Dv8dBLRHmowMNJPKbeG/TBLepT/PRg3/gY9UChyJ9PBDu5LfOWf4lNIP1Mpk3Zpdx5ZBKaMejOJ64m2ag1rmU3PIbiDm6mYn70apeoA+rXz+e/pocZGxiP6Pje+evVTDYRnfLahodHdgrTsRkDe+sjHfWRRcuoBldMUkHNRKOIjEyRHNxUpkUmgZjoyZjoyoQmluW4fcLRJoMfN78PK1HtTKBOTeRkMwygfJTBMpPsfCE+6meQruYhGUVM/MptF6GqzLxM6TQAuRFGBCNuhS0CeBTqHeKOF75HdIE7BUDqaRTzdfI5Z4/+N3stT3v8/FcOMaQetddd9Hb28uyZctYv349H/vYx5iYmCAYDGIYBitXrmTfvn1s2bKFT37ykxw6dIjFixdf0NjwCi9eA3jTvzxFbHb6uSkaXhJi9xcPFyMr6PlweamF14030LErCkfHznm/WvdKZta/nZGUl2r59HOyOGq4vfuZ6n8C/QRuGpczwDUrb8c6pcxHpJORGo/oe0hn68Vsl19eQJR+DRhs936Br2dW4zCgbW+G4dkcWzu/T8PUw3xg1bXE4jH+9lslhl/7V2TIUpp+hGsDt/EL99NcsuFuPsq3cW8e4yf+v+Auo4vrxq5jwlPiUtd67pG24V07wL/FPsAXZ7/P94NRPvhjkf1L3kanI0ci4MCz4Dd8Vfn/kJ6N86/SX/P/BX187hcSR5Z9nJrwLAtc3QiynyfFbaxY9TT32d7HE/EOxN0x/i5wL5Hiw3yxtYeWCYF3/jZDrusqDnk3oVhnKWcfxaIrbOh+PdKMwGh7gR35w5hCjpUrE4jiFnKCl2ecH+e3pR4SFZ2VZRHGCxwcSeFTavxpSz+vNjbjmdmKYBrsbVnOA6E2fl+eYrYcRzDhVcVurh9107JzCnO83t7RsDoorXsVqZa1zFT8ZJLHr5Fq1XD5E4jC5Hz664mw2z0npML6EJImnEEgV60m6VD1hEB2jFzh7KnWqgrNzQLBUBmXMzNH6zGMrp9bpkZZaiZpXc2M3FdPoTUCjFbrKbTnKxl8BjTqIp6qgaVs1IPfuSqJbJnP3riQN685/34KhUIBt9uNy+Uil8vx61//mn/913/l/vvvp7Ozk7e97W1861vfQlEUMpkMTz75JJ/4xCfYvHkz+/fvZ8mS86uPOIZXvFLQfv1x5N13vdSn8aLhQgrEXiiuLXVw86ifth2TmGOT57yfKQgUrnork01XMxk1z5hmpNhq+AKHmerfglY92bK7fM1baS33YBbrSsQQTQ51J3lmci+GYSDLcPXGCarVRwF4yvslvpFZjMWEvsN5Do1l+GnvZi4b/w53LbuJv8sf5M6nlqHOWngyfBtO1z2sbt5ERbax1/4kroX93FH4LGv37uJ2/494KtXA2uhGpjxV1riW8agyQNeyf+Oz1a9x0/5nWNdwL8IBD5LydhLFzVwRuoWH3E/iXdbPN/L/k6X79/BJyzf5ot3Hn/1cYt/aT4O4hR73Auw08AdpB2vW7WGvZRnfzt9E+0CBteU9fL76//h5xzK+WxznCwd6aXmon5lXfZL+dAP+8DiJ0T/Q6G1nbfOrYEZnrKPAjkI/pUqG1asL2GxPUtLSHHZ/kHu1q9hTFGgyBLoTGsMDKeK5CivdeT7ZuIsNuQdR00OYCOxsW80DwQh/KI6TqNT91JeWm3ntZCM9+xIIh4/O+2RrXcvJLrueuKOLmZiIdoKQtzqquObSX9MzR8gnTr4vJUmmq311PRVWbETOyJjFM6dbl1wGKX+VuCXHbLVO3VE+S/ryMTwXrce5QBNcpKxriClLmRa7mDBDjNYcjFagfAE02r9e1cOl3vPnPjpGcXEMxxhQNU2joaGBNWvW8OCDD2IYxnzCjiRJ6LrOfffdN9++83zxilcKbP5b2Hz+3OEvN5zoCtolVNn7AgvEXgjqzKNd3DTipWn7GObUCws6G54gyWvexwg9ZFNnDtopqoav8QjRgS1USyf/jraWpWxoeR3MHBcURY/BFk8/E7N1f5PbLXDJpTspl+upqY967+BfM51ImKwdKrNnMMn/ah/iYzNfZLBxAW936rw+3cWbv7GfI+/4BgUjzcyRH/LWpZ/j6cYRfF3b2OHt48mpddwy+RBhzxZmRl0sTF7NlFtjububvbY4TX2/5f9In6P6WJx75E/wIW8zn36wi8OLN9FmLVANNKB1PMJm/+X0///s/Xd4E2f2/o+/Rl2WbMm9V2yKARvTOya0BFJJSCC992w22Wz6pvfee90kpAPpBAi929imGvfeqyTb6prvH2MkC5sadrOf9+93XxcX1swzRSPpOc855z73qUjm0vafCArYwYouOdd/D/lj/4FcvpZBhsEY3HGsVOWTmVVGk7qLFzx/J6nRTduBSr6K/JxuZyUPxsQT3OTm5pXgcugon3gDjS1uQqOKqD+4lrSkCWQET8fT6qQmqZvc7mLMXR1kZTkxBu/Ebi+nUXcGaxRLWGPRI3o8ZNlkiNXdHKjqwCPCoqhGrg3cTlrLKmS2TtyCnJykMawMDmdNdxUmh5Q8G+IMY2FjHCMKe3qZZNLn09eLaLSF9PvMdQYrAUEteBzVtNcXY+1T73AIMdGDSY7JIlwbh6Zbi9g58PdGFEQpkW2w0arootneTmN7M65jCNV5ZT3CbOj0ncjl9X6yHscDD3Is6gxaVKNokqdSRzRVriAq7HJMx6HKvGfycCLUJ0cL/emnn1iyZAnd3d2sX78ek8nEOeecwzXXXMO9997rbbspiiK33norTzzxBK+99hpPPPEEDQ0NTJ48mc8++8yvjeeJ4v99o7D3O/j+mr/6Lk4a/41QUF/IETjbksasCh2RORWIzUdnDA0Ex7AJNGZdQGWrHpdj4B+JXOkmNKqMprL1XtrjIag1OmaNuYrAJr3U7KgXtck9rG/Px2aXVojxCTIGD16FwyFJaK80vs5nJkl2fWqtk9z9zcwI6eAT9704XQ6WpI+j1tzAp1+G0BOVybaABRhC1hCriyPFOoKlui1Mn7GFD9X3YinWcHvPN5QGVxGwX01M1wwaDB6GBkRQGyiiTV3D94HnUb8vkFcdr/B8hJtrvnFTNOg2uizfMjvqYn7U5jAi61celj+LZpeFj9Wv8324AkeFh9mrPeSNuBmlcjUphsGEO5NZFbSX5NQaPLqdvKd9np52Je05TTwctY35ze/y0bDpfGAp5p6K4QxfsRfzpAsoDJyG29NNgG4XdQd3kDV8HkPUY3F3OqhJ6mFXTxHtne2MGCESHbMHm20v3cpUtulu4aeeJFqdHsl7aHVRXtJOW5cDncLN3+NKOVe2kbDGTQgeF06Zkm3JY/ndEMLarnK6nFLrzgiPjotaBzGmyI1uVzGi1Ue383oRASk0tfp7EQCBId1odU04rVW01xVj7+nfDtRgiCQ18RAVNgja3X7fib7wyEQsoW7ag2y0yEw09bTT0tF6HPR2kchIGVFRriPKehwvepTJtKrH0KwYSj1x1LiDqXCoaOj9HejlMkqnZxzjLEfG1KlT2bJlCyqVig8++ID29naeeOIJkpOT2blzJwChoaEolUqefPJJbrrpJmbMmMHTTz+NTCbj0ksvJSsriy+++OKk7+H/faNQnw/vZf/Vd3FccAtySqKGkB8aT77qPxsK6guVKOc8cxrZZRrCcv2VR48XolxBV/YSasIn09h45B+hTOEhLLqClor1WC39lVdHZ8xnsJCFaPat+FwqkdyEOvbVFnm3jczwEBqyHLenBxGBH4zv8q0pFIBpzW5y8huJUjvYGPw4qs4yXshawKede3m6dDSDvt3J3ovewe4y0Vz6Hosm3UeDuputtu1kZP6bu9TLiNpt5h3Vu3wd7iY9V4nRlU2DHpLUamxBwZhiN1EcFc/G+kmcX7+KUMMWqmr1ZNWMoTo8ghi5DaUxgarQLTgT23i16zoCt1fxa8CD3JEylDn5WpL3q9mVsBi16neSDUOItafyR3gRQeG1hEb8zIrAZ1nXEUbswS4SrBW8rnqdSpWc+8NDULfbuHe9EfmBaprPupui9jD0wSY89o20VpcyMes8Ej1DcVuc1Cb2sMtaTFtnO4MGQUpKCTb7DtyCln1BN/GLazL7e6TK4SybDE91FweqOhFFGKyzclf0bqZb16Bpk9QBHHI1m1LG8XtgEOstZVhdkiHQiyoWdqYxtUxBcG4ZYken9/OSvIj5vV6EEXPHYSt6QcQQZpHor5YK2mpL+4URAVSqAFKTxxIXMgQDYcg7BMSjJHXdShFT30R2VyvtncdXINRP1kNWj8PZX9bjeOCUhdCmGYcncDKXDb/0hI8/hOzsbAoLCxk5ciQFBQUkJiaSnZ3Na6+9xjPPPINSqeT2228nJCSElJQUcnNzWbt2LU6nk6+++orRo0fzxBNP0Nh48lTz//eNgqMHno7lr+kSfnT8N0NBh0MjKlhkGsy0EiXBOSWIppPj1bpDo2nPvpoKVwJdpiO77oLMQ3hsDW3V6+ju7G90wsOTmJG2GHmD/9etI9LJWvbSYfL9kKdOtSDIfgBEREHB14b3+ckkNRWZ2imSu6MeQRDZmfwh4fVr2ZE8jutoJtMRyQNvtGCeciE5nomERm7G3dHGDN0FbEqpJDCmEIfxILfY/0XYxma2hT/No/FRnL5ZhUoxi4YAiJLZ0AcNYl/QFjRpZTzV8w+Mm0v5Rf135sfG8847crZPfgJn96csSLqe3/R7GJa5kW+1l1FdG0lyWR4PuZ/i4sQUHtwYgaorljzDXNSqX0k2DiHBPoxNseXYFVWkpa1kZ8CVvGEez7gmN0X7a/k26RdS6pfz1sg5fGw+wG0NI5iyrARHWApl46+nvkEkLLaRzobVWDtNTB1zEdE9CXh6nNQmWdllK6a1o43oaIH04bU4nZsQRSd1unNYo7iAtZYAXCLEugVS2nzeA8AZ4a3cHLyT4a2/I+uRFitWVQAbksfxuy6ATeZS7L0icXIEFlhSmVWlJyavFrGuwe9zdQzKwDJyLq3aFJpahX5ehCD3YAwzo1TVYzWV01Zb7sdC844TZCTGjyQxaiShymhUFhWi5eghJIdGpDPMQZu2hxZ3Jw3mFixdx5eUFgSIihKIinIRFGRGpW7ulfU4PjXm6KiFpKc/f1xjB0J2djZms5mYmBjmzJnDnXfeiUwmtfbMzMxk/vz5vPfee2zatInFixeTl5eHVqslMTGR008/nWnTpnHBBRf8qeLg//eNAsBrWdBe/lffBY3GWPIj08gP+O+Egg5HoEfNhZ1pTC4WCMotGVB59Hhhz5hOw4hzqWrR4j4CpQ8AQSQ8ro7OuvVY2vpLl8jlKmaOv4zQtgg/JoooiBxM7WRbXYH3C6xQQHZ2NXbHBkDipH8e9D6rzAEATOwW2L2lFlGEr9PWMaHmfcxaAwuTB9FkbeXzNUNR5h0k75y3cLotdFS/wxmTbkLTpuML5UayZxaxUzOZLzom07amlnLjLVw9dDTXrgvAo5tLY4CcQEcdyfrxrPCsZ+yEL7lB/g2R29pYFfgE/4oLZ+E6Fa7AM2nVdBGJi+CANDYqN5M28nceULxN9P5ubhV+Jdn5O1fr5bz1azQ9YRPZLctCpfyZpOChDLKNYHtiLQ09xYwZs41yxVCec15NolmkamcjN0Qe5GbzK+wNi+dBgxbR1MPDO+PRb8jHMusKDugmY+12EBZbSmPxWmSijOmjlxDSHo7H4aI2yUqerYSWjlaCg2VkZraAsBG3uwuLahhbA27ip+54OlwelCKMsgl+3oNa5uGmuEouVG4munEdQq8h6FYHsjZlHL9rlGw1l/r1c55qi+fMmnBS9rRAcYXfd8Cj1dMzdj6dcWNotAUPmH+SK90YwzqQyevpbi+lo74a8QgLvfCwJAbFjyZCl0CATYfY7jpmbtmmP5TI7qLZ1UljRzNW2/FXnh5J1kMU/eXoUwfdQ2LiyStAZ2dno9PpWLNmDSqViu7ubu677z4aGxv56KOPOO+88zhw4AAWi4XW1lbcbjdr1qwhOzsbgBUrVnDeeefxZ6b1U24UsrOzycjIQKPR8MEHH6BSqbjxxht55JFHTuVl/PHVJXDw5//c+QfA4aGgAlsTDf+FUNDhCPZoWdyWxvgiD/rcIr+Y74nCo1LTlX0p1cHjaG46ujETEYmIbcDcvBFT88Cx2fQh08nQT0ds958EbIEeNoWWUtXoE+8yGmWMG5+DzSaFMNxCAB8Ffsh6iwqALJtA6eY6nG6RuxNLuKnpEQRE7h49n9869nF96whmv19Ax5l/I79rCGExuTQWbeeCIXdRGWVmbdN2pk1fzlL9azQ0GjHnlrJBvJoFwyfwyJpQrGELaNAokHUWMF47n48Vazlt1iqeU7+B+qCL253L6Ak4wO+dcPW3braNvANX90ecM+RvbDSWEjEoj0q9jpe6LkC1pZlVkW+yK1DkRWszr3+tp3XURRTaE1DIfiQxZChptkx2pzSzr3kf06YX0uqx8LrySTq7BIL2dKLraeLzkA9Rt+/mlRGnsbRzH5d1pHPW8gbcXTaazrybotYQlGo7gcY91BVuRq8LYXrGYvQtgYguN3WJNnY5imlpbyUgQCBrtAW1ejNOZwsuIZC9Qbfwk3M8RVZpCjjkPZSVtNPe6z3Eaez8M3Y/sxx/oG/J935eJq2Rtclj+U0tsNNU6rf4Ge6IYGFjLMP2W1DsLQG3/3fJMSgDy4i5tAak0NgqDLjoUGqdGELaEcRazK2lmJqOzIbT6YJ7qbCpBLqNR6TCHo6uYDcdRjutSqkiu6mjBecJtPCUySA6RiAywklQkAmlqonBg/9OeNjk4z7H4cjOziY3N5eenh7OOecc6uvr2bdvHwsXLuTzzz9Hp9MRERHBp59+yrZt23j44YcRRZG9e/eSlpb2v2sU8vPzufPOO7n44ovZtm0bV155Jb///jtz5sw5lZfyYf0zsP7p/8y5e/FXhoIOR4Rbz+JWSXlUm1c0YHPzE4ErOom2qVdQYYuh5xiuOUBYTDPd7RvpaBi4fsFgiOS0kZehqpP321eXaGW9Kd9vlZaYKJCaugqHU4qDOgUD7+rfY1uXVFuZ7hRo2NSA1enmtNAOPnTeg+Do4pehM7nXXkaoJ4B3Plbh7naw87Tn8Xh6sDS9y9gRZ5LUOZi1yaWoDJWER3zO/ZrlJNQ4SWks4NmOOxmfNoT3fk/ElHAe9Uol1vpVzA2+nK9CtzNpSg7fa66mvC6K6OLdvGS/lxkJcXy6NJSyif/AKi8mDIEY+XCWs4kpU9fwb+1jNDYZsOSU8ofuQV5JG83u5hbu/9BM/bx/UGYOQuZZTkLIUIa5xnEwqZ2tdbvIntmI1bWdr4PeYK1Jz5haBwWFTXycuoVpde+Tk5DFvwJE7N1dPLZnMOG/5+EYNIqysdfR0OAhMKQbmbiFpvJ9hIbEMXXYhWgaVYiih/pEG7scJTS3t6BQwOjRDoKCtmF3SJ9flX4Ra2Tnsd6ixgOS92Dt9R6qO72KATNCO7gtdBejOn5HYfFN0u26MFYnj2alwk2eucyvE1qsO4hFLclkHXQSkN9fJdej1UvV1bFH9iLAR3/1uKsxNZbQ1X7kBZhcrmJQ0mjiw9MJloWjMMm9dOejwSMT6Qp10xZko1VmpsnaTnN7ywmFYv7xj3/8qY6T2dnZNDc3o9Vq2b17N6+++io1NTV88803VFRIHti6devIzs7mk08+4e9//ztjx45l/PjxPPXUU/+7RsHtdrNp0ybvtvHjx3PaaafxzDPPnMpL+XDwV/hqySk95V8dCjocse4glvQqj6ryi064KflAsI2eQ/3QM6luUuI5AuOjL0KjW7GZN9NWe4RQnSAwbexiYruTEa3+z8qtFNmV1MCeGv8q68xMN8bg5Xg8kpGwy8J4M+AddnVL5frJbhndWxowW11EaxxsNDyG0lROQ3A854cHYnF28dreLKJ+zqH5/AfZ1xZNeNweavau4aKJD+CwOPicDcyY0USnvIIbnE8xtqiHi4WNnNXxJpOjjXz5cwqtQxdTL1PTXPJvLkj4B7/G72fIiL3s0aXyoek0OlfXUhr+T+5Jy2BSgYqU0nByQ+dia3+fhSP/QX5wHTbDXgLC13GP/A2GlNlINxXwsOlBbsyYRlStyCXvlFK16BnqTDI89u+JDx3CSM8kyhPMrK3fyaTJXcjlK9hsfJx3TUOZYIHCnAbOCavnSfcr2BydPJc+jeUde1nQlcqVP/cgVlRjnnMVhdqJdJtdhMa00tW6BlNTPbExQ5iQfA7KBgERkfoEG3muUpramhEEGDnSTWRUgdc7M6sz2KS9gV+6YjC5pYkwziOQ3OqirLid9m7Je5ALHq6JreUSzVYSmv6QxB970WyIZlVCBitlDvaYy729lgEMoobz21OZVCrDuKt0wDyXc9AozCPn0KJNpukIXgRAQJAVfVALbmc17XVFA5Ia+iI2ZhjJMZmEaWKPSoU9HC6FiCXMRau+hxbMNHW10jZAzgxAr9dz1113Hdd5j4Ts7Gy6urooLS3FZDIRFRXFrFmz+Prrr710XEEQEEXR+79CoWDhwoV8/fXX/7tGYfjw4bz55pvebeeccw6hoaF89NFHp/JSPphq4eWTr+LzCDKKo4b+5aGgw5HiCuaipiRG7utGsaf4TzcTBxDVWkmhVDeKtpbjO19wZAcu6xZaqoqPOCY5cRTjoxZAc/9zmsJdrJXv7fdjmjbdBPzEoYCwTR7LK5rX2NvrgEW5BZQ7W2gx25ELHnYmvU9owwY8goxrM2eSYyphhjWRW16vxG2MYNu4hwE71o73iQ4bxCTlAspSLayr3cns2evJ057HU+YZxGxu4d2YXwm1b+QcnYNvvo2jMetK6lDTVPwBi4fez8a4cgyx+7EZSrjZ8SApO9v5NGwpldomXrF18sJLnRSc+yZydQ6hopJkzyi+0Wxl2vQ95KnG8appJmE723g+YhUj2r9lcWIyF1ZEM+mzPZRc+AptFjvO7m+IDx1KpjCVuugeVrXtYPhwO8bgZZTqLuR563lE2EXE/Dbc3Sa+i/+WuNpf2DhoMo+oerBYzTxWkkHSj/l41Doaz/wnxS3BiB4P4XGVNJevwdZlISVpDGOi5yLrZY01JNjY5SmlsVVKng4eDIlJB7HZcgBwyoLZHXQLP9rHUGaTjlGKkGUVcFV3UdjHewhXObkz7iDz3esIatrh1xWtPjiB3+OHs5JuDlgq/T57lSjnzK5BnFahI3JXFWJj/3yUR6unZ/wCOmLG0GQzHtGLAB/91WGtpL22uF9NzOEwGqNITZCosDpn4FGpsIfDqe5NZAf00Owx0WhuwWwxk5aWxiWXXHJc5zgSEhISaGpq4r333mPq1Kk0NDTw1Vdf8e6773qNwjvvvENKSgovvfQSe/bs4Y8//sBoNBIV9efUWQ/hP2IUDjXYOYRzzz0Xo9HIJ598ciov5Y/nU6H7+Cby/6VQ0OEY6gxjUUOv8ui+EjgFEuMArvghtEy+lIquCGzdx2cMjBEmPI5tNFccuZGRVhvErDFXomvQcrhmgCiIlAwys6Uhv7cNpASVCqbPqMBu3+zd1qNM5gXli974drAIYbs6qGmTPpfv0lYztuZjAD7OOIOXLPsRRPjyp2Rk+0uoW/w0RY1BRMQXUb3nF86a8ncC6tX8nnAQp6yetMH/5nvj+2zpCMW0upatg/5NtaqN62ji209CaZh2MzUuDS1l77F41IPkR9TRqd5LdMxn3KpcTnqFjezu7VzX/hQzkhJ5+48kbCEzOCgkYap7j0Vj7qHY0EahfRfpw7/hXf3HtLVpqNhQTU7CWzTIOrk8wMFT+4cTu/IAB85+gW5bN7bOr4gNG8JoRTYtYTZ+69pJbKyDxKSfaVGk8ZJwLy1WD+nlVnaXtvN0yl4Wt76GWaHiiaETWdmxn8m2eP62SoFsfwmOoeMoHXU1jY0eVBoXxrD91BVuwO1ykT5kOiON07yGuyHBRp6nlIZe4xAXLzB0SBUO5xZE0YWIQKV+CatkZ7HJovJO9/FugaTW3txDty/ROtpg4c6IPCaYV6M0+XuTkpLrMFZ6zJR09Q87ntaTxOm1ISQVNEFZ1YDfNWdqFqYRs2k9hheBIGII7aW/dlXQVluCy3H0/uRqjY7UxLHEhQ4hSAxF3gGi/fh/ezadB83MaOKmDj7uYw6HxWLBYDAQFRVFfb0vT3fffffx3XffUVpaCsDGjRuZNm0aBw4cYPjw4RQWFv7pLpZ98X/HKHx5MRQN3Iqu0RhLQWQa+To9+S4zxV01f2ko6HBkOCK5oC6WwXvakRWWnbzs6wCwTjiTukHzqGmUHTdrNyjMgkzcSWPp7qOOG595NimekYhd/Y2MTe9hS3g5FQ3+P/DgYBljx+3AZjvo3dalGsqz8qcp712VBoiQstdMaYNEI7w/qZjrGx8BoCgqnSU6O06Pk3/Wj2Lcp7m4EtPZnHorguDCY/sY0enh3KS/0aN28oVjHZMn9yBXfM/D2mUYOmD/xloKY59kTUQk99tK+fbNAOpP/yfVdi1tlW9z0fgHKDW0k9ORy+gx/+atwK9xNSmp3lFJnvp67sk4jcgykdM/r2Db9OfQGzYRKugY7BjD8tBdZIyqxqIq4i7PM4yqc2AqrWSl+l5+TszgQWsJH28egfpAA7tnPo7Lbaa77UviwgYzRj2bjiA7v7lyCNBZyRy1AYvLyke619hkUTK1Q6Qgt4GJxk7eC3iLgNa9rBwygydpx+Iwc2/NKEYt24/Y04N57rUcUI+jx+JCZ7CiUu2goTgPgDEZ80lTjvYSABoTbOSJZdS3SDmdsDAZI0c24RE34umtBO5Uj2Gj9jp+6Yqgq3dFrRIhc4DcA8DF0Q1cpd9GavOqfj0HyiIGszImjZWuNiq7+5MURjmiOLc+miH7TMj3lw64MPLogugZewYdMWNotBqxHCUcJNFfTShVDUelv/odI8hISsgkMXIEIcpoVBblMamwoVcNRzsk5KhjjoadO3cyYcIEdDod119/PTfccAN5eXlcd9113H///TzwwAOcfvrpHDx4kBdffJGUlBSysrK44YYbOPvss5k/f/5JX7sv/p9WSfVD/Dgo+uXIoSBHORx9sfBfxXh7LOfWRpJacIjCd/xaQ8eCRxeE6bSrqFQPp6O1v0LpkaAP6UEpz6GhJO+ohikqKpVpKYuQNXgQ6f9DaUyws9aSR0+Dv/eVnCyQnPIrNpvPozOps3hKeIjaXoOgEmFYUTf7ew3C3LB2rmuXeN92hYZ7w4NxdtWQ4DYyfkUxIlAz5Xo89SIR8dVU7zEzdewSxDY3VQkmqAGdvowOVwKlNpFp3dJiQGOupCU2AWwg9vQgCgJut5QY9yg86BwqurtFlMow0uT1rNQm0ulU0B43nnkWC3cH17JAoyMpqJ16RyZ7yt9j2PiJTNCls3abiekzurhWn8tbkaNJqg/jGfU/uO/g/ewbNZ/bphTxQVsUGTteYNfof6APv4iapqW4w9yMF+ZxlnY8v9nz2bZ1BpOn7OZ68yUkGV/hM2IYMSOWg7kqxjTczVeDVjGv6HPGBkbwSOooniSfoTeH8cDGFIJWfcD4wGU0LPgnJc0Guj3ZxAzLxGZex649v5InrGRS1kIS3EOIqtYwn+E0xqeSRxn1LQ2sWxeOXn8BWaNNKBQbMdp3cbZ9F6fLwsgz3MqPtkyq7B5yAkQYqiM+TU9Sq5PSkg46uh0sbYhmKQsJVJzN3+NLOJeNhDRuRhDdDGou5pbmYm4BDkan81tkMr87m6nrkTyWAlUjBUmNkASJp4ewqCWJzEI7mvwixN4Vv6zbjH7D1+j5mngO8yJawN2n6YLoltHRdKhrXDoBoW4MYR3Ie9VfB6K/iqKHiqp8Kqp8jKvw8CQGxY0mQpdIgFWH2OH0UWEFUMeffIIZQKuV1FXPO+88rFYr48ePx+1243a7WbhwIQ888ACPPfYYP//8M5dddplXG+rAgQPccsstf+raffF/xlNorM/loZxn/qdCQYdjqi2es6vDScprgIo/30v1cDiTR9A84RIqTcHYrcfvCekMVjSaPOqLco7IDQdQKFTMGn8VxpZg/Dqd9MKlENmd3Eh+Tf9wU1aWiyDDcr9q0XbNRJ4U7/F22ZKJIuMr7RQUS43X4zR21hkeRWmqBODZrAV83rkXgPdzMjGs2YV9xFS2hi8BROR8Tld7C4vHPYjY6uSn2L2YrS2MG/clhYHX8LhlDuNLrXiaq/nZeT3PZi3gx/ZiPni2m/rFT1LWqcPS8DrnTb0Lm0PkG8sG5szdyx7VWB61nEHKznbuD93EnMa3mJGcxJO7hxK+t4fNSTdhCPmDULmREY6J/Bq/n9CoOgzBX/Ky/hvMJgWN62tZmrKaUXWfcW3GNDrb2nj23wL24ERykq9BozPRWfcFUWGpTApcQI/cyarAvbSbWpk5swa7Yz37DLfzctcMdG5IPGjhQLWJm+IruavnFeTdzSxPn81zrjq6nN3c3JzBzGXliB2dOIZNpCTzSpoa3YBIeHwdbVWr6TF1oFComDp6MVHd8V6xuqZ4O3lCOXW9VGOVCrJGW9Hrt+FwSIsXEYGywCv4nTPY2uVbW6p6mUuuKguFNSa/tcVQfQ93Re9mavdqNO0+T/EQ9sZl8Ft4PL/bGmi29ZdfCfZoWdQ+iAklAkG7ShEtAxekeXRBWMfOpz1m9DG9CDic/lqCqen4VlF6fTCpib2qsLpwYq8Ze1zHHQk2m42QkBBee+01rr32WgCsVivR0dE8+eST3HrrreTn5xMXF0dsbCzfffcdZ599tpeNdKrwf6N4DbC77UxaOsmvoOZ/AbN7kplfFUz8rjqvPPGphCgI9Ew5n7qEmdQ1nFjkSRto69PT4OhGZMSwmYzQTDkia8Mc5ma9ah/N7Yf/mEWmzzAhij/5bW3RzuQJ99/8tO6n1jvJ3SslHOWCh5ykdwlpkFhsW5MncCONiIicbUnj0jcPgihStOQt6hqkArqavV+TmjyeMcykK9TNV93rGTXKTWDQUn40vsPXpnDit7ZyVlApD7Xdwz9Gn0FJcx3PvtBK3eKnKW3T0d38KmdO+RuqdjWfso7TTmuiU6jketfTTKlxINSV8539Bu4dPZ/2hk7ueLmSoiVv0uPppOHgR1w48X7a5VaWt29iztyDNCDjH457GN/moWBXHbviXsHRU8VF8bEM69Bz63sN9KRPIyf4XPTBHbRVfUF0WCqTjedgdztZG3GQ2uZ6pk83IfIjTQFzeMF9M00ON5ObPeQWNJIaYOWriH8T2rCBhuB4/pU4hB2mYmLdQTy6K4mgP6Swken06ylUjKGny9WrTSWJ7bkcDjTaIGZkLSa4PdQbS2+Os5MnK/eKEwqCyKhRbsLCdmGz+0gHbZrJbNBcxW+WUL9GNwluGYmtTkpL2uno9nfTz4po4UbDDoa1rkJm9f/OSEquWawMi/FTcu0LtSjnHHMqMyq0ROyqPKqGlyNtNJYRs2nRJPXzIgaCVmdHH9KKx1mDqamYrn7f6f4YOWsec6+/7ZjjjoVHH32UV199lVdeeYUpU6bQ0tLCfffdhyiKbNiwgfz8fDZs2MBrr71Gbm4uISEh/3+jcDRc/tvl5DfnH3vgfxCCCGd0D2JeZRAxu2pOWHn0eOEJDKFj1tVUygb7ad4fDzQ6B4GGvdQXbcF9DEZTSHAM2cMvRVl35I5OpalmNjfm91OwVKsFpk0vxW7f6re9UXcGjzmu91OcnNbiISfPJ5WwLO13Rtd8CoApIJiFiUk029pQi3I++yYSyqvpmXQ229XzEBHRqr6ls6mWc6f+A3Wdgn1pbWyvKWDW7BocjvU8HrCM5m7oWV3LS4PyWVj3PJdnzkTW0sM9L9VQu+QZihr02DteZs6k6whpDOEzw2ZGZZlQqb7lTvVykjpEdm+upSj6EbaGhvM3dw1f/ZCENTSLHfJs9IE/Ea6JJMM5hQ0pFZjdFQwZ+hXrDY/zoWkQw/d1oTY38IPiHvaGxXOVqoslbYM58729dE1fTI5sCsbwDlrKvyAyLIVpoefjsjvZEFdOeUMlY8Y40em/p1sRx9vq58nrFhhtE6jd2YjF5uSdQTuZ2/A2uJ0sHTmXV60VWN02FpuGcv6KVsT6RjyGMOrn30VJUyCiR2p2FBCQS13RThBFAoPCmT5yMfpmndcbbImzkyevoKZPAdmwYRAXvw+bzfd7s8sj2RV4Gz/YhlPbJ0mrEmFUj4CrWvJu+kIrd3NzbCWLlBuJbNyA4PY3HpKS62hWBkf4Kbn2hSDCnJ5k5lUHk1DQgFh5ZC/cowuiZ9wCOqKzjsuLAAgw2NAHNeNyVNFRV4TV0v8ezrjlTtKnn3bMcx0LHo+Hp59+mvfff5/6+nqio6M5++yzeeutt/B4POTn53PllVdy/vnnc9tttxEcHPz/rlH44osvuOGGGwbcl5iYyP79+//0NV7Ne5UP9n7wp89zolCIMs7uSmVWuY6I3JNTHj1eOAaPpWnMhVS2B+I8AXYEgErrxBBygIbiTcdkYwiCjBnjLiHKHH9EQTJHgIetUZWU1lf02xcaKmP06G1+K0qAWv1CHrdd6k1WAkwxwa7tvgnnX8kHuabhMe/rO0efweoO6fvxWMVohn61E1EQ2LvoHVqbXYTGNFO3/3P0+mAWxNwITg/LovJo72xn5mm/0iWquc7zBhk2gYMbavkh7Tcyaz7j9OHjGNYawPWvllCz5FlKGvQ4La8xOetCYlrj+TFmD8awFiKjPuODoKUcMGkwra5lRdpKhtd/xYxBqdxcmcboz3LJO+9dFJp66vZ/xqJJ99HjcPKNbSNTp7XhZhVPar+iqxu6NzRwY1QJf2v+F98On83jPUU8XDWa4Ut30nHmreR3DSMkuo2mkqVEhCYxI+JC3N1OtqfUcqC2mMGDITb2B+weJ8sMb7DCZCTGIxC810RZo4Uzw1t5Sf4aqs5SqsJSeCA2kd3mMgweDY/vH0bUb3ngdmMfPpmSEZd7K9cN4WY89o1e2nFYWAJThl6ApkHpZZW1xjrIU1RQ3ae5TlKSQGpaOQ77Nm93NA9ySoOu5jdxDju7/AsYE9wCia0uSorb+vVITtDa+GfMPk5zrEXXUtDvO+WUKdmePJaVhmDWdlV4lVwPxzh7DGfXR5K2t7O3ZeyRpzhH2mjMvV5E83F4ESIiQSHdaHXNfvTX6978mKCw8KMeezQcSwli1KhRqFQqSkpK6OzsZNKkSbz99ttkZmae9DWPhP+aUbBYLDQ1DSwqpVQqSUxM/NPX2NGwg2tXXfunz3M8UIlyFvYqj4bmlCG2H58y48lAlMnpnn4RNdFTaThCE5ujQaImFtFQsgHnMRqXAKQmj2NM2FxoPbIX0RxvZ21PAV0DdMxKSRFISv4Vp9PfOFYEXsoTPQv9GpiM7xHYt7mWQ5vOCG/lLdt93oKoH4fN4gGb1Ioz3RnOo292IlqtmOdcRa5TiuHq9T/SWlPKzAlXENEcRWeki+9MG0hJEYiN+zelQVfzsGUB09o85OQ2sDPlQyLq/2Bsahpntyex6K391Cx5jpIGHR7bO2SkncYgy3DWp5TT3FVJ5qh/s8H4HO+ZBjEop53ZmhIebb+bB0bPZ3trJW++ZqPl9NvY3ZmIVvUtEYFxZLlnkJvWwIGmA0ybvoYaxQj+ab2RiRbYtbWOH9N+JaPmcx4evYBlHXt5O28Uob/n0nzBv9jXGkVoTAsNB78kPDSRmTGL8Zid5Kc2k1ezj5gYGcPS1+Bw1LHT+BBvmjORe2BcvZPcfc0EK118l7iCQbXLcAtyPs6Yx1tdRTg9TuZ2p3Dtrw4orUQUBEyn30ihbBTWXpryIbG9Qw1zYmOHMTHpbBQNeL93rTEO8lWVfjIlEREyRoysx+3e5Jc3ag2YwVrV5fxuCfb73NUiZPYIOKstFFb3Lzw7LbSDW0NzyGz/HXlXQ7/9DrmazSnjWRkY6KfkejgGuUK4oCmRkYU9qAqKj1r06dEb6Bk7n/bo0TT2GOgyHYcHLojEprk49855xx57FBxNCWL27NmkpqbS1NTE/PnzaWhoYMKECXzyyScUFxcTEnLyjKeB8H8qfORwO5jy5RRs7hOXvj0eBHiUXGAazLRSBcY/oTx6vHCHRNKefTWVnuTjcnMPh0LpJiSqhKbSDQNq2R8OnS6YWVlXoK1XH9HwuOUie1Ka2VWzb8D9o8c4CQxcjsfjL71RHHQtT3fNx9Hn6zbKLqNsUy3OXq8hQWtjbeAjKMwSj70uJIELwnTeFeG/16ej2bYHj0JF3llvYO5wEhLVQX2hVL+wePSDiB1O8tOa2VWzl+kzOhHFn/jF+CZLTVFMLLdRUNJGcdRDWO2tTI0K4uq24Zz+3m6ql7xAaYMWmfsjEqNGkuGczK60RvJr9jPztJ8p0c7nwa6FTKl1sq+wkYOBt7Apbji3eGr5cNtIdPk1bJn4OMaIamr2fMOiyffhMrn4WrmVIUN6MBiXeu9jXEkPpVWt5Ma8iLK9kCtHTKLIVMXHqweh3HXAa6DCYhupO/AVYSEJzIq/FLHTyYG0drbW5GMwyBg/QdKKqtZfwPP2S2h3eZjYBUU7G7E63TyYVMQ1Ha8g2E0URw7lgchwDlqqUItyHi7PJG1FAaLDgTs4gvrT76K0SYfoAZnc4xXbO1QENih5LKOj5ngL4ADaeo1DZR/jEBQkMCqrA7l8Iy6Xb7K3KeLYqb+VH61DvL0HDiHRLZDQ4qSkpL2f9yAXPFwfV8PF6i3ENa1FcPYnkVhVAWxIGsfven8l18MR5tGxqC2F8cUi+rwSxK6j/yYcg8diHn7aMb2I4dNjyb54yID7jhdHU4KYO3cu5557Lm63G5fLxb///W8uuugiUlNTufvuu7n++pMX4BsI/6eMAsCNa25kS92WU3a+QI+aizrSmFQsEJRbfMwv0qmAffhkGjPOp6ot4IhNbI4GucJNaHQFzeXrsXUdn+GamLWQJOcwxKMUtnWFulmnOUDTAGqoIDIjuxOPp78w4YGg23i2K9uPsDTUKaN5cz09DinkoJSJ7Ex4i+BG6bPzCDKuyswmzyQV7FzRMZwF70h1E21n38FucyoAhuBVNJXvkwqzHJMQBZFvQnOwdFmYPWc7dnsJz+i+Z28PJO9op9XcQ7H2KsrCkjgvwMbfGzOZ/PEuqpa8SFmDBoXsM0K0kUxSLqAorZNNNbuYM3c3nc42rvG8xoRugd2ba9ky6DMiGtYwIzWN09tiWfTmfqqXPE9ZkwaZ5zOijMmMZRaFaR1sqcljztwDWOylPKT+hB6riGJLE4NVbXwt3k2TNpCLosJQ9Dh585tAPNX1lC9+map6OeHxddTu/ZaQ4BjmJF2J2OGkPNXCuroclEqRGTPKsNm3YlZn8Kr8EQ5aRVJcArKCdmrbehhtsPCp4X0Cm3NxypS8kzGXD80HcItuxtljuPMPLfLdUh8LW8Y0SoZdQktvSEkd4PCK7Ym9tQIjhmUzPHAK9KmGb4t2UqCupKLRV5SmVsPoMT0EBGzB4fDl1TyCiqLA6/jVM5O8bv88lVqEUT3gqOqisKa/9xChdnJX3AFOd60jsCnHr3r6ELrVgaxNHsvvWlU/Jde+0IgKFppSmVauJnxXBZ7Wo/cYkbyIBXTEZNHQ7e9FnHHDSFKyTj50BEdXghg2bBj33nsvMpkMl8tFQEAAgiBgtVq56667ePbZZ//UtQ/H/6RREEURt9uNQnHiZRSfHfiM53Ke+1PXD/UEcFFbKuMPetDt+nPKo8cLj0JFV/bF1IRN7KUOnjgEuYfwmCpaq9bTYzq+cFZs7DCmJJyHcIxrVgzqYmNz3oAqkhqNwLRpxdjs2/vtKzDczYvmCX7FzkluAdvWJr9V4Q+DfyOz+jPv6w8y5/OqWfJGDKKGDz7VITY04dEb2JH9HNYuF4awLppK3gNg4ZS7UdYLtMY4WNG+iZAQgeEj/o1TFsK1vE+AR8CxqpYJRjNf225ka/J4bqCRB2qyyPw8h6qLX6KsXo1a9TWC3cO84MupTbKysnErp81qwOlcw/2a5disIqbVtTyZso9L6p/iX6MX8EP7Xr75NBS7MYnNkZcTEV9G9Z4fuGDyvYgtHpYF5xKgszB4yJdU6s7n/u5FjLMK7N1YywNJRVzX+Cg5iWO5Xt5Ouj2Uf33UjafbxsHzX6ahwSPVX+z9HqMhitMHXYPY7qQuycqqlh243S6yZ7bhdv+GUxbM54FvsMasQSfCyEobBcVtKGUinw1ax4TajxFEN3vjMnjAqKOiuw5BRCoCXH4Q0dKFKAh0zr+ZQjK8le9BoV0Inq00lfu8w7EZC0hVZvkp4LZHOynQVFHep2BRJoOsLCfBITnY7WV+342mgDmsVV7CKkuQnwcJR/ceAMYbzfw9PI9x5lVeyvLhOJqSa1/IEZjXlcKc6iDi8uqPiyXoGDIOc/pptGqTWfDPKai0f67k60hU/u3bt5OSksLevXu9lNUtW3yLXqPRSFhY2J+69uGQndKzHQWiKPLcc8+RkpKCVqslMzOT7777DoD169cjCAK///47Y8eORa1W+7lRJ4KpsVNP6rgIj47bmzL59/p03nnFTvYHeQRsLviPGwR3eBzNF/yLnPmvk+sad1IGQRBEwuOrkXs+p3rP8uMyCCqlljMm38RU7TlHNQgOrYeNgyr4o27HgAYhLEzG1GlbBzQIO4wP88JhBiHKIyDmtPr90B9JLvQzCAdihvNml4/H/vDBdMQGKR/VcsbfsfZWUMtlEtXSaIxC2SR9lSt0Uo1DaqoUQqzVzcclQmJvXn1soLQibNFIhUY6h7RaFZH+lytUWCwtIECATeqz29NjBGCY2kKTTCQ2RMuHjamIgox5nW2IAlRMTkRVuIOoKBntjUmodXp21f+Owi0wQZ9OY6OIIMwjsesrzjGYyNGKjB4WxpOVQyiKv5BxVbncqRvMHlUTn14ahQwPQ355kNBwBc01CSSMPIfOzgZ+K30fIVRJbKWWBcGTUanUrF8XhsOxCJXHzJWmS7nGUEGPANuTNYydEAOCjMUlp/Fw8LO4AmMZWbuHbw/mc5kxAwSB52ILuP8GHdbJGQiiSPAvbzJh20OkRvcgCGBu02PqmEvs8MswRErtUHP3/MI3+U9TG1KJEChNiCENSk6rSGWhcQYp0UmAVIy8a5eSNasn0952CRqNLzEa2bOaJaYreVP+D641VBCu9E1HVXKRTVEKOqZGkDk1jqHxBr/v1s7OIC4uySat6Sn+FfI8ZfHnI6r9i8cM1k7OO7CG9/JXs7bJwr90QxlrSEMm+E97bkR+1ZdxR3o+iy5t4uU7kii9cDzi0EFS150BoCrKIWz5s4wu+fBPG4RjIS8vj66uLjweD5988gmpqanef6faIMB/0VN44IEHWLZsGa+88gppaWls3LiRG2+8kd9//x1RFJk5cyYZGRm88MILpKSkYDQaCQ0NPalrnfH9GdR21R5zXJzLwJKWZDL321DlHzwlgnPHC9uo02hIP5vqZtUxGQ9Hhkh4XD2mxg2YW46f+jpq+FyGKscjHiOR1hrr4A97wRG7VqWmCsQn/IzL1d/13mh8hndNaX7bjB6IyO+kutUXgjszvJXXrfcg9CYKbUotFw4ZRUW3tFqbZIvjjtdrweXCHZHA1qz7cNo96IxW2ivfRRQ9zJl0LSGNoXjkIl8GbcNqtTJnbjE22w5WGV/lU1McUztEcnfW83bqTs6ofYUPMs/gVfN+Xj6QRewPOVRc/AoV9Ur0gT/RWl3C4mH3Y5U7+dy9jqFDRcIjPmer8QneNA1jSq2TXfub2Rf/PJq2vWSnDSW+W8tDL9ZjOe0yctwTiIjfT/We3zl/yj3IG0R+jtlHZ1cLU6euwuwRuFf+FjaHh5DtbXT1dLMr8mk0bQe4d/R8funYx63NGUz/MA9XZCL5kx7A0ukkIqGY6t0/ExgYxvyhN0Cri45IJ785cumx9jB8hEh42DLcnh6Kg67jhZ4z6HaLpDsFunJbaDbbidPY+S72S6LqVgGQkziWf+kFbzXxdW0jmbesyhtOsY2aSfHgxbQ2H1LoFP3E9gCUSg3TRl9ERFesn0R1R6STAl01ZfWVft+DlBSBlEEl2O076CuY5RY0FAbdwC+u6ewZoP40ySUQ3+qkuLgdk7X/d9egdHFHXAlns57gxi0IRyjEbAmKYlXiKH6T2fspuR6OIc4wzm+MZ/iBLpR7SvrNERH/vIvQa/5cj/jq6mqSk5ORy+WoVCrvdpvNhsfjQRRF5HI5ERERfPzxxwwZMoT6+np+/fVXzj33XMaO/XNFc4fjv+IpdHd389JLL/HRRx8xb948UlJSuPLKK7n00kt59913veMee+wx5syZw6BBg07aIABkx2cfcd8gVwj31WaxdGUaL73UybhPclHl7PuvGARRpcF0+vXsvfBdthrPp6JeeVIGQURqyahRfUvN3q+P2yCEhsZz/pR7GNKTdVSD4JGJ7Elr5Yf2zUc0CGPHOoiJ/XJAg7Da+Eo/g6AVIWG/xc8gpATYeIXnvAYB4MURp3kNAsDf1mq8n039rFu8NFytdi+i6EEQZIT2RALQHGvHarWiUIDDIVU+73XFSu/JLLkKSYL0rJp7Wxxq7NLzP+QpyBSSd4BGhrpHQKFQ0NgojU1w7gLAFSz9cPM1E1B4XMzSJbJP2YRr1FD065eiC1JgahuMQqUip+oXBAQmCoOx20Xa2k5D427gRs0qLAIYRofR45ZzvfVWRJWOR/auY2hgIm9E7KHq/PEomqrI3PsGWp2C5urBJGScjsXSyi+Fb0G4guAmJWfLxhMUGMT+fQLlFRegVEYw2Pw+TylfJkEt44BSpGtCOMOTjNTa1Ewsu5Jlsf9EVAYwriqXZaWFnB88EoD3Q/dy8zVuOuaMkR5DwTpGfnczWfoiNAFyRFGguSYZVeBVxI84DZlcgdNpY+2OT/mx4g06ozsRVNLzCm5SMrN8EBcYZpAWk+z9TMvLRdasTqW05FJUytMQBOl5ykUbI0yvck/3+Twf8BGnB3Wj7LNSr1RI3oNpWq/3EOfvPZicCh6pGMboips4U/Eua+NvwR7cX6Au3NzIJXtX8vnudfze6eHOwHTSA5P6jQMoUrbyVHw+l8wr4W936tl0zWh6pmYi9EpS6Gf++dqEmJgYxo4dy8UXX0xBQYH3X3Z2NiEhIVx99dV0dHRwwQUXcPXVVzN48GAWL15MZWUlkZGRf/r6h+O/4ink5OQwfvx4dDqd33aHw0FWVhbPPvssM2fOpLa2ltjY2D99vdzGXK76/Srv66HOMC6sj2fYXjPy/adOefR44YpJoXXqFVT0RHlDHyeL0JgWrJ2baa/rXxtwJMhkcmaOv4zwjmjEYySuu4LdbNQf9IqjHQ5BgBnZrbjdvw24/yfj23xlivDbphQhs6SHfRW+sJZSJpKT8AbGxm3ebZsGTeJmj88g3N6UyZSPpInYmTyCLSk343GLaPQOLA3v4Ha5GDV8LkN6sgDYmlrDgdpi0tM9hIZ9gUsI5DrhUxyiSFqupLial/QWIY2bvbUPH24bSeD6fMoufpWqegXG0D9oLN3NReMfgBYXyyLzaDd1MHPmD1hFOdeIHxDqETCvruXM8FbesPyNrckTuIEG/taUydSPdvn6OsTsomb/Bm++Y21yGeUNlcyZKxV9fRi0lLUWNdMaXeTsbuKJlP1cWv8ktSEJLA4Pwmw389HWkeg25mPPzGZn1EU47R5vv4iAAANnjbwVml1Yg9z8rttLa0cbISECY8ZsxWYvxSaP5f2Al9neJUcmikxpFcnNb0AUJdrnW+o30LQXep//IyobzTYpBHe+ZQiLf+hArJEqmt2h0dTOu4uyBo2XnXa42B6AISiCaRmL0TUF+MmhmMJd7A6sobjeX0HVaBQYNaqtt2Wo/yKkWzmYrbqb+KknibYBVFEPeQ9FxW2YrQP/thZGNnNd0HaGtK5CZj1yQvlYSq59oRdVXOOezLXXvH7UcSeL7OxsRowYwfLly2ltbUWv13PTTTfx+OOPIxwhpHWq8F/xFA51Lvrll1/8LOGBAwe8eQWgn9E4WYyOHM102RAeqxjN1yuSeOzFJkYszUG+t+i/ahCs4+dTdvFrbB52Fweaw/6UQQiJbkcf+BN1+z87IYMwOHUSF46+j7CmyGMahKqULpa5tx7RIGg0MHtO0YAGwYOc74wf9jMIgigyrtruZxAAlg361c8gdOhCeUjp8xii3HqmLvclJqsnXedtBBRoKPRWYqcaRgNSE5/S5krp2CiJHVWnOx2HKKIVoa5dikcE9UhJ0OZe2rLKO5H0egpyyVNwK6RnFaTVA6BQxqP0dDBIK9Dcm1f4uSUMtz6aCZW5BKsMfBpRhKDXEbrxE+QKgZ7u4QgyGTsrfwYZjDUnIQgC+/dlIAhKFlsfIUguIydSQUKYjgfLh1MRdy5x7dU859QjyGTcNrkIz/A01LvXM6ZrNTK5QEttBvEjsunpMfHDntchUoHWLGd+ZwYx4VG0t4ts2jQJjWYcGncdt3ZdzGJDMx5BYFO4jCHT4zAGKFnbFsyY5vs5EC81qJpWto1llRXMDx4BwPeBRVx1SSe154wDhQJ5WwOJS//BZNNyQsOlOHq3SUtHSzYxw64iJDYJAJO5mZ83v8bazq+wx7q8s4yhRcH08mQWBc5gcOwg72fb2Smyfn0IO3ach8d9Hkqlj8mjcxYzp/MOXnZewt1B2xim9Z8QD3kP5mmRjJoSy9C4IA7HsqYIzig5m+HmV3kr8lGaYmYjypT9xiW0VnD97l9ZtnczK7o13GgYSZJu4EVql+CgOyt1wH3Hi+zsbP7+978fcf+nn36KIAgsXryY1157jZdffpkPPvjPF+f+V4xCeno6arWa6upqvyRJamoq8fHxp/x6MkHGg8XpDP1qJ0Lh0SsaTzU8Wj0dC26hYNG7bAtYQFW9/Li6mh0JwREmggy/UX/gE1qrS477uMDAMM6Z+g+yPNMR246eO3BqPGxOrWJ1/Q4cR6h0Dg8XmDptCzbbzn77REHBl4aPWG4y9ts3tdFN3kH/IrYnUvYzsuYLv22PDhlHq923int4dypiRycA9ozpVDVIk5BS66SxdEvvPSUhb5SebUOszXvvgkyqfi5TTAQg2SnDI4JO4Ube20ayxSmtSBVW6ZhD4SNBJl3HLUjPLFApLVQ8bslNH6qUqJLR0ZKxqAiejFx0M0uXgEmw0TZ5GPKWWhIi7HSbNMQMHktt3QEcUR6C2uSMjBtCfb0HmTAHnbOY6/Q7sQlARjBKucDCqoU4gtOYXL6d2wLT6RIc3DO/AyE6koAtyxityAMBmuuyiEufis1qZkXBK4hRclRWGXOb0kmOTsRmgzWrh6BUzkYQXZzVeRP/DNqOShAo0IgwOZK0mEC6XXLml5zFqxFP4NGGYrB28mzer7yoSiJYZaBLcHBnej5v35qEOCQFAE3eGjK+v5lRQaWotVLFcntjMD095xGfcSEBhmDpGbdUsmLzi2y1/Yw7xvdZG1oUTC9L4sLAGQzpYxysPSJbtujZuOF0bNaLUKt9Ba1ysYdM0ws82LOQZwM+Z3aQlb610jYBtuuhYHgg0bPiGZcRSdBhCWCrW85zVWlMKL+aWbzLr3F30BM2koEwqLmYWwp+4ad92/jWpuca40hiA/xDNbMTZw947KlCfHw8qampBAcHc8kll3Dbbbfx8ssv/0evCf8loxAYGMhdd93FHXfcwaeffkpZWRn5+fm8+eabfPrpp/+Rawadcfp/5LxHgithKPWLn2Rb9gvkd6fTfpxdzY4EQ5gFQ8hqGoo+pLmy8NgHHIIgMGXMRSyIvx5NneKY1c9t0U5WBO7iYG3pEccMHgwjRv6E3d6/Dadb0PJx4Kf8atb32zetzUPOHv8q9nMim7mk+SW/bcvTZ/NHh09Z9fTuQYSu9oUjyocv8b6P4LBSb1X22LQzvNvLZJJ3Exsr4HBI4Y59bmnBEdyrGDvRYPImH1t6RdbkVqnQyWcUpBWkE2m7Hil2bLVKE90gQfJenL15hZUOiU1zeofknfw4VDI20Qd+lMa5RwGwo/wHkEFGQzQqlYrt28NQKiPI6nyG8Xo3xUqRrKwoOpwKbnXejqjQcu3uX5kTPJwqRSevLA5A0OkI+v0DMo1VCAi0NowjdugE7LZuVuS+jCdKhsIhMLN6EEPjUhFFgbV/RONxnwcIjDI9z5PajwhXymiUixSNCGLcSMmze7k6hQXOZ+mImgLA3KKNLK9rZGZwOgDrtJVccl4thYvHI2g0CB43IT++zMTcJ0iJsfc6WgItNXEI6stJyDgdRW/StKZuP99teZY82XrEKN9UHtSiYFpZEhfqsxkam+oNi7hckJOjYs3qaXR2XoJG499VMa57OVeZLuVN5UNcaqjHqPCfxioUHjZF+7yHIQN4D+U9Gm4uHUd67X1cp3+DgvjLcesG7lw2tOEAf8//hZX7c1jqNHK5MYMxoSMZHnry3R6PBxMnTvR7PWnSJEpKSvwaVv0n8F+jpD7++OM89NBDPP300wwbNox58+bx008/kZycfOyDTwIBEyYgDw7+j5y7L3omn0vJxW+wKfU2DjYaT0iyeiAEhnQTHLaeppL3aSrbe0LHJsSN4KLx9xPXntSvR/Lh8MhE9qW1saJzE6YBBL4OYfx4B1HRX+Fy9ae5uoRA3g/8mD8smn77plggJ9dfnmBQgJUXPc/7JZZrQhN5xuljiilEGVevdHjDfN1TFtLQIP0tV7ppLpe6tcnlKgxmqbzfqfFQ3iSFhZKSpUnZLWjZ3dO7UuxNqo/WS7HyjoAQb1GT0C0ZGK9REKRj7L09o/VuNQCdnZJxiHNILSsresMYHzckIsrVjK3MI1QdzK+6MoSkODQF6wiLUGBu1RM5aCT1DcXYo1xoumSMjkzHZhPpaJ+FgMjljufQyAS2hAoMjgliVWsIyyNvBeCJ/ZsYpI9ji6aGFZengFxO6PLnGBrZAQi0NU8mZvAYHE4rK3Jfxh0tQ+YWmFKWwKh4aULfskWPxbwEmUxNTPfPPMG9jAwAhwCbYpRkTo1Dq5JT2BXA6KqbWRt/C6JMSWhXC6/lreQJTRqBSj0uwcPDyXk8fksortHSueUttSQtvZPJ5h8I6Q0puZ1ymmvSCYy6jtihE7y0zpKyHXyz7SkOaHIgzLeKD2qVM7UskUUBMxgWl9YnZi6wd4+M1atG09hwGRrNeA6F+QACHfs5o/M2XnFdyZ2GXAYfFlo65D3sHh5I9GzJewjU9KePrm4N4dyS0xna8SLPhz9FbdwCRIW23ziAkbV7+Gf+z3yi+XMVzIfg8Xi4++67CQkJISoqyqt1BNDV1YXBYOCDDz4gKCiI5577c/VXx4v/mlEQBIG//e1vHDx4EIfDQXNzMytXrmT69OlkZ2cjiiJGo/HUXU8u/495Cx69gfaz7yDv/PfYrppDTb1w3F3NjgR9sJWQyM20lr8vNbk5AWg0euZPuZVJmjMH7JF8OHoMblbFHWR7TcERG3wLgsjMmS2oNV8jiv3DT05ZCG/qP2STpX9sdpxVIH+bfwGQWuZhefh7KCy+7W5Bzn1xKfT06X9xX+2o3qZDkix4aYxPUyY0qspLgxwz4nRv9XVdTI939RQQIHk8jQFzvFo77W3SBD9MJa3mmwP75D16pH3eXim9RsHWK61xqFahqbcOIty6EZXgyyu0OZR0RIxHLrqZrY0DoHCiFCtJMEufo1wlMXm2l64AucDQqhD0Oj35+Qo0mlEE23O5MrAINwKd6Qa0Sjl3lmVRGzefAHsXrzQ2EajU84WxkD1LpBxKzNcPkhLjAFGgo20aUamZOJ02lu94EXcMCKLA2JJoJsaPAqCgQE5tzUUoFMHoHUXc1XMFC4Ik3aodOhHDtGgSwgIQRYGrS6ZwV+BzOA1JAJxT+AfLms1MNEoT4R5VExfPK2bblWMQgqRVuGbXKjKX3UKmoRyVRvIGrBY1bU1TiEy7hrAEHxttb+Favs55kvKgQoRg3/cnqE3OlNIELtTOIN3POEBJCaxeNYTysstQq7IRBN9xStHEmM6nebhnIU/pviE70N5vYquQS96DZXqv9xDb33twegTerEliauklTHa9zfexd2OJOALdc+QFA28/DvTNJXz66afodDp27NjBc889x2OPPcbq1asB+Omnn2hvb2fDhg2sXr2asrIyVCoVcrn8KGf/8/ivGYW/Aoazzz6l53MOGkXtkmfYOvVZCsypdB4jVn88CAiyERq1nbbKd6k/uPOoTW4GwpiMBZw7+HYC63XH1Xi8JrmH79nm1cgf8J4CBGbPOYjLvXLA/XZ5JK8GvNdPARNgpF2gaGs9nsNuZfmgXwhq2uG37f2Meew2+5LJg1whZKzwqeWa515LW28YTpB5aKvx9XROChjh/bvUI3kkOp2A3SaFocqUkwFJOqGmlwabiBRiatEZvceK3ZJBEsXeCajXKFh7JZp13dJ7bGsTkct1yEUrQ7TSmzuUV9gulyaOee1SqOzT+EqQyzGs+zdanYL2xhBC41JobCrDFuVA4RAYb5BW2gf2ZyIISqaYHiY9AKrlHtLHSmGMhTUX4TQkk9RSxlOeEAQEnojPp2X+OAASvrmH2BgQPTLMnTOJTBmO2+1g+fYXcfXG8EeUhJIdNw5BECgrE9m/72zU6kQUYhcXm67gZkMhcqSEbc3oYEYPkYqhvm+KZErno1TFSb+hqM5a3stfwwO6oWh7V9EvR+/mnzeo6J4+Snp0bhehP7zIpLynSI5xeBf1ppYguixnET/yYvShviRyzu4f+abgaepCq7wFcACB7XImlyZwkXYG6XGD/YxDXZ3ImjXx7N+3BLn8dOSyAPoisetrrjNfzBuqJ1hiaCJI7j/Feb2HEYHEzIo7ovfQYFPxj7JRjKy+kyXat9kRfx2uoN78Z+QIiDz50NGyZct4/PHHARg8eDDPP/88WVlZ3HzzzQiCwIIFC9i0aRM2m424uDj0ej3l5eWYzWZ6enrIyck56WsfD/5PGwXtqFGokpL+1DlEQaBrxkUULXmLTQnXUdwQiMP252N6Gr2D8JhcOmvfo65wq1db5ngREZHMBZPvJdUy4pi9YwGcapGtqTX83rANu31gwTCAqCgZk6dsxGbLHXC/VZHAC5q3yD9MtwZgsFOgflsDDpf/e3k6ZS/pNV/6bdsXO5J3Lf7dtx7cEevVlhJVGoq147z7wmLq6O6QEtaxscO8Vdg2nYeqJkmQbfAQp1e+eb8nCYBEl4Cr10KFO6RxLRppMteLKq9qps+GSUag2yYllDUWmXdSUioTABiqlMJQzmAptPRpq7SCHlOdR7gmhDJFO/ax6Qh2K8l6yVAEGCcBsLVoGcgFkiv0hIeEUVfnQS6bjUx0cJ3nLRQCbAmCEcnBNNuV3MXtiHIV2aWbucEgGcLbM3bjGDcCmctB2g/3ER4px+OW0dU1m/DEIbjdLpZvewFnjPQ5pJYGMTdqIjKZjOZmD9u2zvBWFk/pfJBH9csxyGVYBdiapGbMxFiUcoFmu5IZpYv5LPoBRJUeAZHF+1bxXYeDLIPEvKlUdHLVlH38emMmQqQ04cubq0leegeTun8hpE+YqKU2Co9wCQkZZ6LUSIbF43GzOfcrlhW+RGtkM4LWt9DQt8uZXBrPRdoZDI8b4mcc2tpE1q8LJyfnAhDPQaHwVwo12PM5s/NmXvNcw+2GAlI0/ae6coXo5z0MHsB7ANjWYeCikpmktTzDIyHPUTP23gHHHS9CQkIIDJSqr8eOHduvNuHss88mLi4OnU5HUFAQ48eP55ZbbuH222/HYDBQWHgCOcaTwP9powBgOO+8kzrOYwij7by72XXuu+wUplPXcOKS1QNBHeAgPLYAS+N71OzfeMwG4odDLlcxZ9K1zDQuRt5wfDfUHuXiR2MeB2qLjzpuyBAYlr4Cu71ywP3dylSeUb3CgQGqTRPcMrp2NNN9WO+F8yObWNzsz5iwqgK4L1iHS/S994tMQ9Ft9DVsaZ9/Wx9lWBFzs0/vJSt5jvfvmmiLNwQWGtrbKlJQUNAjJTnDrL5npOuS3leLUtoX6u6zyjzkKfS2Le/qlnIoMo9AoF76AXs80go+WZSeY3mvx7CjMwiHMRWZ6GG2RqIwbsiUJrewLZ8hkwm01EVgiIimpaUSa5QdQRSYIJeMybZtYSiV4URY/2BxkOTBVaUGYNAq+aEpgpXRNwNwc8GvTDcOwyV4+PtpNZCSgKzbTPqaRzGEKHE75VhtpxMaPwiPx83yrS9ij5U+j/iKABaETkapVNLdLbJubQZq1Qzp/Vg+50n5kwzqnTi3GCB2RhyRBilX9K+K4Vwsf57u8FGARN38ZPd67ggcjkomPctPgvdz05UOWk8f680haHf+SubyW8gwVnpDSh63jOaawQSEXkPc8GkIvUWEDqeVP7Z/zI+Vb2KKNnsL4EAyDpNK47hIM4MR8UOQyXz7urtFNm0KYvOmBZLUhyqOvlB62hnf+TiPWRfyuH450wKdHL6cOeQ97BkRSOysOMaNjBjQexBFgc8b41EPndNv34mgb/ioqKiIM844gxEjRjBlyhQKCwvR6/UolUrkcjnvvvsuJpOJ9vZ2nn76aYD/G3UKfyUM554DJxCDcwybQPXFz7N5wuPs7kjE3HFq2nuqNC4i4vbS0/oBNfvW4nYevcnNQEgfMp1Fo+4mpDEUBijkORyiIFKY1sEK8yY6TJ1HHTthoo3IqC/95I77wqwewZPy5ym19jdE4R6Q5bbQfljLxcE6K8+5n0dw+UuZPz9iJpXdvvBVgEfJBT/5EtmeoFCKnD4OeFhss7dvrkqpRd/mYzqV2iVDIAgibrekotqkneVt4iMzS59fhNqJvLs3pyCXflShbl8yUcTfKJi7fDTaQ7UKNqsRgDiHVF/RIoO4UMmwFAZKnsC8NimU9VlIIUKwEUVtCXFRbkDA0Mvs2VL4HSgEomo0JEUlYLNBZ4dEb5xjup9EtYwWGSSOlSiQN5WOpzlGSko/fXA7CQHRtMq6eWyhGyEkGHlbAxm5L6ILUuByyHG6FhASm4Qoelix5UVssdIziKxRc7ZuElqtFpcL1qxJQOAsAILtuTxgv44ZgdJneFDpwTQ+lJHJElljW4eBsfX/IC/hSkRBhkz0cPWe3/i6S86w3mrgVlk3N2cV8O9bhyAkSZOz4HYRtuJ5Ju5+hqQY3yLA3qOitX4c4SnXEpniCwX29JhYufVtVjZ9TE+MDeS+CVDfIWdiSRwXqWYwMm6on3FwOmHHdg1r/5iJxXwxmsMSwQIiKZbPudG8mNfVz3ChoRWdvP/kWqYQ2RSjlLyHybEMjvH3HrKHhBMR2J9YcTKwWCysX7+exx57jKKiIlauXOnVMtLpdFgsFmpqfLLkBw4cwGQyMWzYsFNy/SPhLzUKP/30E0aj0VvcVlBQgCAI/POf//SOueGGG1iyZMlJX0MZGYluyuSjjhHlCiyzLuPA4rfZHHk5pfUnJ1k9EBQqNxHxhdg6P6B672qc9hPv9WAwRHLe1LskaejjbL1pDXKzOqGILTV53uc7EGQyOO20RlSqbxHFgb2WDvVYnuBxqgbo9BYkCoTu7qSx0/99aeVuvgt9B3mXf+5iQ+oUvu3wZ1U9XDbST5my6fS/eRU6AaydviK3cRlnIfaG73oMbupapEl40CDBa9DKVdO84zvbpUTyRIPP6LT0hpiMvcwi8DmBoigtICyWVm9MPFAl1SqYTJIBCLZu904oUVGSwfihR5rYRlfnE6EJxS64aZwsJVdjyiSdodb6OAKCjLS11dATId3XuO5kBEEgL0+BRpOBQrRwo+ILBGBngMjoodIksbD+UlyBsQRZTbza2kmAIoB9yiY+ujQCQa1GWV1EVsnHqLRyHDYFLvEsjFFxIIr8sOVlrLFSyDC4UZLFOOT9bNxoxNpzEYKgRO1p5VrzpVxhkNhgnTLITdMybmw0MkHi+S8snsuToU976ZupTUV8sW8bNxpGoujNx/ysL+WKi9qoOn889CodKxoqSVl6O5OsvxEc6luFDyS2B9DZ2chPW15lnflrHLHuvqQjdJ0yJpTGslg5nYz4YX7GQRSlpPrqVeNpab4MjWYMhyPYlsM5nTfwuud6bjXsI1Hdfxq0CbA9EPaM9PceFo9L6Df2ZGA2mykokIge1113HcOHD2fatGkcOHCAL774AovFQlhYGJdccgl5eXns3LmTyy+/nBkzZpxyraPD8ZcahenTp2OxWMjPl8IGGzZsICwsjA0bNnjHrF+/nhkzZvyp6wRfeOGA292h0bScfz85Z75JjnsijY2nxhCARJ+MiC/G1f0R1Xt+8zYrOSEIAtPHXcwZMdegqjt+b6cuycr3su1UN9UddZxOJzBr9j6crtVHHNOmncKj4gPUDWAkNSIkHzBT2dy/x8SKlJ8JavZPiLXpw3lI4d+pLcsRTcqPBd7XrugkSjp97KCQ6Hbaan31EXFyH4ulKsJHpY2Na/P+vd8jFVkpRJHqFunesgJ8+1t6q5mNbp/42CES1iGj4PG4EdTS34GCZAyamqTXMtwM00iGxdFbr/BFQyyiOggBkblaKYT0zWDpmgE7fiI4VIHHLSMsSVLx3XLgW1DKMLQoSI+V9HkKC0chCAoSur7jXEMnAPsSNEQEqam1qXlQcSeiTEFqUxGPySQv4jddGesuGw6CgKpwO2PafkSulOGwKkFxLkHh0SCK/Lj5FbpjpPcd2KbgLOdYQo1SHD43V0VT42Lk8iBkuJnbeTsPBK5DKxMQBYFNoTLSZsQRrJPe6we18cyxPkVLzEwAlB4ntxT8wud2HSl6yUPokTn55+A8Xr0tHs9w32em3fEzmT/cRkZwNco+k3FbfTgO50UkZJyHRu9TO21urmD55hfY5vgFd7T/yj7AJGd8SQyLlTPIjE/vx8o5eBBWr0qnqupy1OppCPjvV3tamdT5ME/YLuBR/S9M0g+cKzzkPehnxzFzaMSAY04Uer2erKwsjEYjKpWK2bNn8+ijjzJ9+nTOOussiouLyc3NJTg4mOnTpzN79mxSUlL4+uuvT8n1j4a/1CgYDAZGjRrF+vXrAckA3HHHHezevRuLxUJjYyPFxcV/uim1fuZMFNHR3te2jGlUXvwSm0c/xN62WLpMp04MTyb3EBFfjsf2KdV7fvZSKE8UyUlZXDTufqJb470r42PBpRTZmVbHb41bsR2j7WZ0tIxJk9b7NV4/HM0Bs3nYdRctA4SqFKJIRmkPRbX9axyeG7SbITX9v7yPDB5Nu92/3uGuDUGIfaqo67Nv8fPSXFZfBXVyUpZfc5eSbp9rrVRKSWsRgXyrFBZKdMm8Se/BSl9joGandM9BTt+K9XBPAYDeGLtelDyKlhYPMpl07sEK6XwVvXkFu0dGQ5jkkc5rkVbamzTV3irgRIeUHOxoSkGlDaC9o57ucMlAZjXFoFAoqK0RkculMNLZlvuIUMowCyLBo8MRBPiqIZr1sVKXrXlFG7jKKFXjvhW+h/ILpKS8duevjHZvQZCBrVuFXLvQy/j5ecurWGJ6qbYmGQvMmUSHSSv+oiIoLjoXlUparaeb3+Ap1ZvE9sb2d6tFxMkR3mRseY+GceXX8UvcHYgKKZwyvG4v3xTmcYUxwytPvUVTwyVnV7L30vEIAZJxlbkchC1/lkl7nyexT0hpILG9Q6iu3cd3W58hX74BMdJ/cg8wyRhXEs1i+XRGDWAcqqtE1qxOorDwEpSKud7P8BBkuEm1fMStlgt5TfMSCw3taGX9Q0vnx4YiH2D7iSA7O5vS0lK2bt1KeXk5KpWKM888k8GDB/PWW29RUVGBzWbDaDQyYsQI1Go1ZWVlmM1mvvnmm/+IAN7h+MtzCtnZ2axfvx5RFNm0aRPnnHMOI0aMYPPmzaxbt47IyEiGDh36p64hyOUYl1yMee417LvoHbaGLKa8Xo37OOLyx30NmYfw+CoE92dU71mB1dx5UucJCAjirKm3M14+128CPBY6I138FFrAnpqDxxw7bJjIkKHLsTuOLPpVrzuLhx230OHq/4wEUWRCjZM95f0L2hZFNbKo8ZV+278dPof1Hf6siRtbR6LM9VFQnYNGUd7k078yhFtorvBVOmfEzvT+bQ5z09wu9REOCxO81dZtAdMx9d5zRB+SVbwohbFEBNpsncBhRqE30ezx+CYUUSlN+AH2Qx6FgEop0RKTPdJ76ZtX2CBKwnyZNbuJ0koT8Z5xktqvcZ0U2nE6FESlSrmFTfu+QVDK0FhkjI6WKKo7tkegVIaicjdzo0bSmNqtFhk7UpoMri6dQlv0dABuL1jprR24NzUPy0zp+oFrP2eUTkqGWy1q1IGL0PV6Bb9ueQNTtGQUVT0y5jWnkxQlvaf6epHcnNloNFLMOsL6B4+472CMTnqejTKRwuGBjMv0TUy3lI7jJu3zXjVStcvGXfk/85ErlLgAyeC4EXk8Po9HbjLiGOfLHyjqyxm09HYmOlZjDPXVHThsClrqRhGccB3Rg0fTF8Wl2/lm+1MUanf5FcABaM0yxpZEs1g+jaz44f2MQ0uLyNq1keTlLULgLBQKI4cj1LqF8zuv4w1u4SbDQa9RVAhwWczJKzf3RWNjIwqFgh07dvD888/z+eefM2fOHHbv3k1lZSUVFRV+tQkXXXTRKbnu8eJ/wihs2rSJ3bt3I5PJSE9PZ8aMGWzYsOGUhI4OQbf4cvI9Y2luOsUl4oJIeFwtCuFLavZ8T3dH27GPOQLGjzqHswfdRkCdBo7TXomCSFFqJ8u7NtPWefSWggATJ1kJj/gKt/vIVcxV+gt52HYVZvfANzG1yc2uwpZ+24fqe3jG+RzCYT1yq8JSeP4wAxTqCWDWihr/cROuwdOnwEGGr4gvICAIbasvB1AV7DNIqam+CukyVbb3b4XFl38JtUnXb9eHeVlPOod/LBpA7GMU3Arpu6Lr6WMoRMnjjLX72FCH8gofNUmNdwRE5qqlcR/FlCKoVMi6TCT15jXMHUOQK5WYTE2Yw6XPYVh1GLqAAHp6RMwmid0yxPwes4Mkjy8nSkF8qFRcdmHTFbh1kchFN88X7fJq8tw2/iCekdLkHPzTqwwPl7yZbpMGbfBFaIOMAKzc+jad0dK9KBwCM2vSvBpEJpPIhvVj0ailxHmAq5Lbuy9joUH6bjkF2BSlYOS0OHS94bWVLaGMb32QkvhF3mcypnoX35fs58Jgn7bQflUzl84+yMZrRiMEG73bA7auYNRPtzEypBZFH9ZRd+chsb0rCY7x6SAB7Dmwhq9zn6LCcBDB6F9AqTXLGVMSxWLZdLLih/fr4Ggxi2zcaGTrlrNwOc9HpYrmcGjcDUztfIBnHYt4KHAVt8UoiFT3L9Q8Geh0OiZOnEhRURGdnZ2kp6ezbNky7r//fgBef/11xowZw4QJE/jss8/YsGHDf7w2oS/+cqNwKK/wyiuvMGPGDARBYMaMGaxfv/6UGoWAIBVpY09NPBCkngbhsQ2olV9Ts/cbLK1Nxz7oCIiOSmPRpPtINg1FPAElVZvewx+JpWyq3XVMPRSZDGbNakCp/O6ICWWA0sArecy6mJ7Dq896MbVdJGd3//eqk3v4LuRt5N3+CqsumYL7YhOw9pG2AHhk3xDEFh/DxzZ6NtX1vq9jYHCPX2X3uBFn+6m8Fpt9LR8Dg3yqsYWiL35tbvddU9sljW/R+4qn9M4+RqH3f4/Ht83VK4oXYPYZBZtNYuMY7PkE92ruHNJBKunW0hOWAcC8FskINcgtdE2UvICInC9BkMI60WkTANi09xsElQylXWBciFQQlZurQKORVtQX9jyEQSHDJoAsMwSFTKCsR8uTmjsRBRnGnnZebu9GI1fTI3Ny9xntCDHSCj3y20dJjZFyWV2dWvThF3nj9b9vfY+2KGkBI3cLTC1PJDNe8hAcDlizJhWF/Axpv2jj/M7ruMOQ7+1vkBMgopsWTVJ4bxLeqWBOyXm8HfkoHo30jAIc3fwr7xfeEWKI0Pg6hL0RsYc7rpVjnunzAmQOO+HLnmbygZdIjPH/Lrc3hmC1LvQT25M+NJGdBT/w7Z5nqA+tRtAf5jlYZJJxYBqj40f0Mw52O2zbFsC6tbPp7l6MWt1f9VQQXQwxv8uNkSfOFjwS9HppEWE0Glm2bBnFxcW8//77fP/994SHhzN7tk9oLz09HaPR+B+vTeiLv9woHMorfP75597cwfTp08nLyzsl+YS+yJh1ahRZQ2NaCNAuo2bfl16q5MlAqdQwb/INTA88H9kJJrkbEm0sU+6gsvHIIaBD0OsFZs3ei8O55qjjDgbdxBPdZ3vlIQ7HpC7IzRn4/a5I+QF9865+29/NmMdes7+Q3kxrEpEr/aU8ygaf7/dardnjp24b7U7y/t0e5fJSbNVqwdtQByDfKk1SMlGkpjcBnqy1IusNGTXrfI1ZtDbf+Q9dyuP2GQAn0kQgdwoEaKUQkcnsC2+la6T9ZX1C1AUaabLPqN1DjFZahKweIU1yqrI9xEZJk6rVOhJBkGExt9AZKt1bSnlgb/JX4ODB0QjI0TnLuD5AYl8VKUWyRksT/kd18WyPkzp+DWs4wEO9Ya1qeScvXaRBCJQmnviv7iWht4jN0q7DEL0EdYD0HtZs+4CWSMnAC6LAuJIYJsRnep/HunVhOB2LvAnasZ1P8HjAUkJ722ZWy0Uqs4yMGeYztM9WpXGu51nMkeO926aUb2d5ZRlnBvtCR7UKE9dO3MPym0ciRPvCUYraEgYt/RsTnX9gCOm7MpfE9mTqy0nImOcV2wNwu11syv2SZQdfojWqxa8ADpD0pkoiWcw0xiSMQKn0X/F7PJC3S8ma1ZNob7vUr2UoQFBQFgaDfxjrZGC32yktLaWjo4N33nmHe++9l+eff5758+djMBgYN26c12Cce+65KBQKzGYzoihiMpkQBIGioqI/fR/Hwl9uFABmzpyJ2+32GoDg4GDS09MJDw8/pZzc8PhA4oaevEheSHQbOv0P1O3/jI76qmMfcBSMHHYa54+4C2OD0a8RybHgUojkpjXwS9MWeo6D0RQTIzBh4lpstoKjjttruIOnLLNxHkELaaxVYM+2gQ3CS4PySav5tt/23fGZvG8+4LdNjsANq4A+nk3X9Atp6mMUtYF26ot8CeahqVP8qLiVgb4QXdpgNx6PFK5q10yktTdPFO+R0ePoVUc19qGjqn2T+qGua4DXVfC4fT+JQ6J4AEE6aYXd0uybcNLk0vNolYnE9+YVvjH7vq9z1dJk97XhoLfaN7ZeYtZ1d2qJTpNyAJv3fIWgliPzCExQSfmzmmoRhWIWAKNMzzGxlxmzLUQgLUa6l0tLZ2CKlJQ0zypcy8XBkpeyTVPL95clgUKB4HEz6Pu7iYyS3pepVU9w/GKUGik5vHb7JzRF1HspnyNLwpgR56M8bt+uob19sVdOIr7rO54Q/sXQXvE5mwBbElSMmRyLqtdz2mPWk1X9N7bE34AoSM8ryGri6bxfeUWRSIja6D3/l4ZCrr28m6YF4yR3thcBW5Yx+ue/MSKswS+k5HLKaa4Z3k9sD3oL4LZ9xE9Vb2OONiMo/ac3TZeMrOJIFnumMjZhZD/jALB/v8DqVRnU1V6OWj0ZkJGQ8OfabR7C3XffTUtLC3PnziUvL4/U1FTmzZuHw+EgKiqKxsZGqqurqa6uZtOmTQQHB7N06VJMJhNms5moqCiGDDk1QnxHw/+EUXjhhRcQRZHhw316IgUFBTQ3N5/y6r2suSfOMzZGdhAY9Av1Bz6lrabs2AccBSEhsSyccjfptnGInSdWGGcOd/FL+B4Kag4cezAwfLjI4CHLcDiO3q861/gAz5qncqQA1AiHQMnWetwDeBAXRzdwXuOr/bb3qPXcF6TGLfqf9a66UcgO+GS6RZmc0ohZfmP0QQf8Kr2HRfnqTERBpLi90vs6MsIXripX+1ojRvXxAjK1PiPSrPStMNV9WF2e3kSzu4+ncEgUDyCo15g0NXmQyaTcRpLHlySP7NVB+rE5HLdOMganN0tenBuR6smSGrBu4zcE9YrAuZGMQldXBx0h0j3GVGuJj5QorTt2RHnlGy53PI1GJuASBEy9onluUcbF7dfg0UqhmX8WrGR0r/zEV4aD5F8snV+wWxn227+8khOdzQbCkpZ4V9vrd3xGfWi11zCklRqYGz3Ry//ft09GRcUF3uY3QfZ93Gu9irlBPqO5JRCipscQbZTcJrco45KSGTxgfA5XoK/KeFbJJpbX1DOrV5IbwCSzcVtGPh/elgqDfLkDwWEj4rsnmHTwFeJj/D3pI4ntAXR3d/Db1rdZ2fyJVJ9xWJGaulvGqOIIFrunMe4IxkFqGTqI5qZbiQif12//iaK7u5u3336bQYMGkZSURHp6Ou+//z5arZbq6mqioqIoLCwkIyOD8847D4/Hw5w5c3jkkUeYMWMG1dXVpyyUfiz8TxiF/yYS0kMJTwg89kDAEG7GEPw7jQc/pqXqz7ltgiBj5oTLmRtxOcr6Ezd0Jakmllm30NLReuzBwOTJPYSGfonb3XXUcVuNT/CyafQRFTxSXQJN2xqxD8BCGh7YzeOO5xDc/eOtzw6fQU2Pf34h0WVk7Ar/52iedx3trT4DoNK4aCzxFasZgiJQNfkm6tZYB13dvvckss/790F8LDVVHz2oVIUvB9LSZ4JQ2vrSIaUn4HH69h8SxQMI7F0pi6KAsjdUE2Nd793vMKq8+6tCJHbR8Lq9XgbO0hSpyE4QRZKQFhamliAikqXJcVPBV96wx3iblPTt7haxWKSks8Gez9WBUly5Wi6SPkY6736Ljpf0dyIioPC4eLF0nzd+/3RsvrQCB2SmVkZueQa9QZoAO5qCiUhdgrx3QtyU8yW1wZVew5BQoWNB2CTvhFlVJbK7YL437q4UTVxhupTrDGXeurJipUj7+FAyUnze+NKGaKZZnqAu9gzvtpDuVl7JW8lTmlQClb7q9N8DyrlsUSOli8Yj9AkPKauLSFt6GxPc670G9RCOJLYH0NnZwI+bX2GD5VscMR6/AjgAdY9AZnEES9xTGZeQgarPNQ8hLW0KgvDnp8mysjKcTidBQb4KaaVSyfjx47FYLERGRtLV1cXjjz+Ow+HAYrGwYsUKnE4nX3/99SnNrx4L/3GjUF1djV6vP+K/6upjx8RPNUbPSzzq/qDQLoxha2kq/oCm8v1HHXs8SEsZz4Vj7yOiORpxgKrgo8EeILI2uYwNtbm4XMdOQsvlMGt2HXLF915xuCNhnfEF3jQdOTwX6xaw7mjGYut/XZ3cw9fGt5B39086r02bxrLDqpYB/pWXgGj2TbSiWkuRKstvjDG82K/qe1z6mX7htQqtzygmJAg4nb7rF9h8xr67w3eOWLeviK+lj+eitPb11HobvPQJH3VbfZIferGvtIHEVtE5S4nqDW2U98krHGq8AzC3d3W9S9WAe6Tk+gev/9gbElH0iv719JhoM0iMruAmJcPipNVvbo4SjUYyHJNNDzOiV65pa5DIiCQjAG/UJFEQfzkAYV3NvNTlRtnbLOjvGQXYJ0gMIHlDBVn730ajkzyG9oZQogYv9tYDbNn1NdXGUu+sEFmt4Uz9JDS9oaa2Ng+bN03yqxLO7rybhwN/Q99rbE2CSE6qlnHjor2c/gabiilll/FNzD2ISl/47qzCtSxv6mSy0RcSsQtu7k/N47lbo3Bn+IdKdJu+ZcyvtzM8rAnFYaGhgcT2DqGxqYzlW55nu/O3fgVwIFFzM4vDWeycwoT4TK9xCAwMZNSoUf3GnyhEUeSjjz4CpAjIunXrvG2IHQ4HCoWC1atXI4oiV1xxBWq1mldffZX6+nq6urowm82nPL96NPzHjUJMTIyfCuDh/2JiYo59klOMQVnhBEcF9NseGNxDSMRGmsvep7Gk4E9fR68P5uypdzCamdB64gVyTfF2lml2UN5QeVzjA4METpu1G4dj7THHrjS+zgemIzc4CvMIqHe10dY1MOvip5Rl6Fv6F761BkbyiKyz3/bzLIMJ+sM/udw2/29+hYMKpZumMp88NoJAmN33/XDLRYpbKr2vExN9k3anehQNfdhJNX2qrIOtvoVHS588gczqo84eUgIR3TLvyrCrx0fx1Tl9dFi73afIma6Wztc3r/BxQxKiXJpY5jX5mFE5Y6RVsbyjmaQw6f7aG0K9vY03FXzt9RayWmJ7efYCJcVjARmC6OJazxsoBEm9tzpN7205ubhsDl3hUjI0s2Y392mkojk3In/LroRU6RrK0nxG13/jNUpt9eHEDLvQK0y3Le97KgKLoHdCD21QcrZiAoG6Xv0nG/yxJh2V0hfySzN/wNPKF71yEaIgsClExqDpcYTofavvu8szuVL1HNZQX8I50lTPu/mr+VcfSW6AHHU9F88vI++ycQh6nyER7FYiv3uMycWvExfj798eSWzvEKpq9vDd1mcokG+CyP6CdyqrjJElYSx2TGVC/ChmTJvRj7F0MnjwwQf57bffUCqVPPPMM9xxxx1ceuml/PHHH2zYsAGbzcZvv/3G1VdfTWpqKiUlJWRnZ2M0GklPT+eJJ54gIiLiP655dAj/caOgUCj69WXu+2/NmjVMnToVo9FIaGgoZ555JmVlkntdWVmJIAgsW7aMmTNnEhAQQGZmJtu2bTvGVY8OQSYw7kzfhKgzWAmN2kpr5XvUF+Wekp7Ok0afz5lJN6OtU52wuqpbIZKX1sRPLZvp7ukvITEQ4uJkjB+/Bpttz1HHiQisML7HZ6YjG+NAESL2dFLfYR1w/2upu0ipWTbgvn+lZtLh8BfVU4tyLv7FP4zlMYRRZPc3SiHRldj7hIYyhs3yy7s0x9r9KrU1Wl/P6iqNj8YX6xa83o0giKgtPlJAS5+QkKzHd66+zYYOhVQsFp9XEmD1hbDMJt8klSrz1Vocyiu0OJR0hkseQHrDARICJM/i48hiBK008UUVfO89Thci1QTYrGZag6SQW4BJTlaM5CFUVoooeyfhcOs6LgmSckTNMpHk3jCS3SPjcvMNeDRGABbtX835vTUCHTIrD51rQxYmGTNN/h+Msf6BrHd131oXRdzwRV5juLNgBWW6fd5YfFCrgrNcYwnppYN6PPDHHzF4PFKbT4AQ6xYect7MZL3PyO9Re3BOCmdonI/xtaEtmLGN97I3/pI+IoRw4b5VfN9u8+ZEQBKufSYun/tv0mOblEFfKKoOMHjprUwQNxF4WJ2Cv9he/74HRaVb+Xr7kxwMyEcI7Z9PUNkEMhujGJOV1W/fiaK7u5uXXnqJTz75hJtvvpnnn3+eqKgoFixYwHXXXYfD4SA7O5uxY8dyzjnnkJubi1qtJj1d+uyzs7P54osv/muhI/gfyCl0d3dz5513kpOTwx9//IFMJvMmWg7hgQce4K677qKgoIDBgwezZMmS4wqlHA2pYyKITlUQFr2Tjpr3qCvcfsI9DQZCXGw6F068n4SOVG9nsBOBJdTFL5F7yavZd+zBvRgxUiQ17Ttvb+IjQRQUfG38iG9NR67M1IiQWthFedPAuYjLYuo4q/61Afd9NWIumzv7V1T/qyITscI/TNh0+t+x9/hCOYLcQ1vVJr8xg4P9xczKVL5QUVCQgM3mu1Yhvh9/dJ/auRH6bgSnxNLyCDLa7J2+nd0DG71DCVhLV5s3Dh1g8RmFlhbf6jHRtdv79yEdJIAdCh+DZ55SivF3yKx0TpF+7KoD27yMoJa6KALDpOT0poKvEXrDO+k14Wh7QyE7tkejUEiT8mmmB0juleDYoRPJ6m2Mk2cK5B3DHd7rPrB7NRlBksdwUNnKexeHIfSGgnSbviNLWeB9fy21scSPXOg9NnfPzxRrCqRSXiQjtaBrFFFhPvrols2+Np8gFXzd3HUJSwx9cjgy2JeuY9woX//jbreMs0oW8GL4k3gCfPUL8W1VfLx7PXcFpqOW+zyzEkUbl2cfYM11oxBC/fsm6DZ8xZiVd5Ae3oL8sJCSJLY3r5/Y3iHs3r+Kr3Y9SaWxuF8BXGB2PILyz3c4O3DgADabjTlz5vD+++/T3NzMGWecwbJly6ioqECj0fDtt9+i1+t56KGHALz1Wof+drvd/79lFM4//3wWLlxIWloao0aN4sMPP2Tv3r0cOOBj2Nx1110sWLCAwYMH8+ijj1JVVUVp6ZEbzR8PBEFg5HQFtQc24zkFjbBVqgDmT7mFKdqzEU6yarpskJnv7VtobutfLXwkTJnSRXDwUtzuo3sUbkHDv4M+5ifTwI1EAOSIZJZbKawZWD57ZGA3j9qeQ/D0Z02VR6Tyoq2i3/YRzkiG/OjvvbhiUihp9zdMYTG1dPepyA4NjUfe6FtJulQiZU2+Ff/gwQ76ln3vthu9f2v7FABOCPLRUdsCw/3YUIca+gB+7VTlvQwlj8eN0NsHQGWVeZOujY2itx1klHWd97i+9QqftfmS3vMafXUaPw/1XTO+tbcTnSgQHCMlp+22bpp1Ug5EZRMYFyYZu+5uke6uuQAoxC5ulP3bu84+kKghPEiaRJ+rSuNAvKQqrHQ7eKmymFC1ZExW6cpZfdlQL43TsPI9Rgb7mGnNNQkkZJzrfZ2/byUHVbu8hkHdLWNey3ASIn1sIqnN54VegyWILs7svJl7grai7r2OSxDYFClnxPQ4vz4Fb9Qkcbr9Wdqjfaq2MtHDFXtW8rVZIL1XkvsQ3gvbx23XeOic479YkNm6ifr2ESaXvknsAA7wkcT2pGcvsiN/Od/ueYaGsFoEvQK5QYV+Qv8q55PBocXtL7/8wu7duyksLGTRokXExMSwdOlStm7dypw5c3C73VitVpRKJYmJvpznueeeiyiK3HLLLafkfo4Hf7lRKCsr4+KLLyYlJYWgoCCSk6WQQt8EdEaGz3WM7hW2a25u5s8ibfxkogalHXvgMTBqxDwWpt9BYL3+uFpiHg6H1sOGlArW1eUctwekUMDs2TXI5Ms5liaGWwjgo8CPWWXun0fpi0k1TnaXDiyVoVO4+cr4JrKe/gbLKVNyX1QMtsPkLQDu2RyCaPUX56vLvgWXn+6UiLlxi9+YsUPm07enZ0OsFafTZ4yMwb6wTZdqKNV9EvjWDt99jND67rdZ71uVaj0Kb9c18LsUckWfVWMfJU+DXjKoHg/eZi4ad4M3lt4m+PIKWzoMOIzSKn1IYyFJOolm+kNgKUK8NHPp1y9FFyRNkm0N8WgDpTDL5ryvvdW5qRVBBBuMAOzcqfTqEsV1L/dKT5gEkdDREV7K/qLyBfSESaGjSFM9L1gVXlnr98L2UbLI19EufNnTDInyLQKaa1JIyDzT+3r3/tXsV+yA3lW40i4wq24wg2NSvGPKyuDA/rNQq3x07wzTizyp/YDIPjUGuVoRzdQokiN9jKPibi1jKm9kddxt3jwMwKDmYr7Yt5WbDSNQyHyGpFHexfVjd/PNLcMR4vwtgLJiH0OW3sJ4YauXZXUIRxPbA6kAbmPOFywrehlO0yMoTs3UmJ6ejlqtprq6mieeeILbb7+dFStW8Oqrr7JkyRJGjBjB0qVLkclknH766bzyyiu89957p+TaJ4u/3CicddZZtLW18f7777Njxw527JBWT44+ypl9ecSH3Kqj9Qg4EUxdcsVJHxsWlsAFU+5hSPcoxJNUWm2Js7M8IIeS+vJjD+6FwSBj5ml52B3rjznWKRh4W/8x6y396XZ9Ma3ZTe6BI3soPyd9j66lYMB9b2fM5YClst/2q9qHo97uz0JyDBlHeaN/k5Kw2CZMzQ3e1zKZnGBLmN+YMqGxz35wuXzeR6XWn0de3+Jbjaf0Oa4lwOi7pkeHH/rmFBR9JLWVvu1BGn2fA3wryWFqnxLuobwCQFGQr75iXp92kSWTJIMiczlIUksrdbdLTniyJKvtcFpp1EpGT+YWmKA9xOkXKC0Zx6Gf7QLzfV72U4Haw9gRUgV1t1vGdd03I6qkexlbtYu7dIO9139gUB6mWb4K3ZivHyA5pk/upnowCRmne1/vK1zHXmGLtxua3CUwtTKJjHifN9TUJLJ9ezYajU/rKLr7Vx7z3E1mn7VIjVykItPAmHQffVQUBa4rncTf9c95DSmAwuPipoJf+cKqJVXvr0bwXVARV19iou6ccf2aaOnXfcHYVXeSHtGKXOHPNjqa2B6APiyEyHF/ToCzLwIDA7nrrru44447KC0tpa2tDafTSWFhIZ9++ikPPfQQ69evJykpiba2Nn7++ef/WkL5SPhLjUJbWxuFhYU8+OCDzJo1i2HDhtHR0V958z+JxJGjSB7VvxHH0SCXK5g18Wpmh16C/CRVLjxykYK0Zn5s24Kle+D4/UCITxAYO+53bLZjU2XtsjBe133Itq6jMyimdork5Dcecf+bqTkk164YcF9ewmg+NPe/F4NHw/wfGvptrxpzhV+oBqCnw584kDXidD8NKIfWQ3mjL3SUlgZut28iPij4JqJIj+DXAS7a1YeOqvbNTiFuf8PU11Pou4o8JIoHEKjwGRKH3Rf+ShV899Y3r/BDj+++5jX4wp2fJlR7q3fDNnzqTfh2tgzyVhpvyf/G28w+rlJLbLhkhCoqRFRKSS1W7WnlJvVP3vPmRCv9PJVPQn35hUv2rvSTmbht3AEv5VMQRRK/u4eYPnTN5pp04kf6kvcHijaS796A0OsVyTwC40tiGRfv8+K7ukTWrR2FWj3du03vLOEfPZdxZpDv87IJsCVeRdbkWDR98gA/NEUwqf1hKuLPpS/S6/fz9YFcrjKO9EpyA1hkdu5Iz+edW5NhsD9pQWbtIuqbh5lc8Z7f+zqEI4ntTbvkKmSyP5dL+O677xg5ciRarZbQ0FC2bdtGZmYmW7Zs8S56H3roITo7O1GpVNx3330UFhby3XffIZfL+eqrr/7U9f8s/lKjEBwcTGhoKO+99x6lpaWsXbuWO++8879+HzMuu6Yffe1IGJI6mUWj7iWsKdxPoO1E0BXi5rfo/eTW7PVjvRwLGRkeUlK+w+E48gR+CDZ5LC9r32VX99EL5SZ2wa6dR7ZsV8bUMr/+9QH3dasDuT9QjufwWR545GA6YqN/iM86dh41hxXuhUS30V7nn4tI0fkzTepievw8w5gY/wK+PX0m6NjDIliGvnTUPmGhYM9hLRX7GoU+41wy3wpaj+8Yi8XnEcQ7fZpPffMKXzTEIKqlGHZaUxGDehvQFClbcYyRVoPy5moSesXWHDYF0WlSbsHptFGvrvSea7zLF+bcsSMWhUIKNaWaP2JukJRIl0TzQlH00kkfrRhGabxPU+rhvesYFpjYO9bFXae3eEMwMoedwT/dR1iEzyC21GYQPyLb+7qodCu7nGu9eRaAzJJwpsX7FlUuF6xZnYgg+EJQcrGHJaYrudWw36/NzbZACJseQ0yw76G1OZTMLLmQj6L/haj25b9Ubjt35v/CJ85g4gOi6Iu1AZVcurCeg4vHexPph6AsK2DolzczTr4DvaH/4qiv2F7quCmkjp3Qb8yJoKGhgSVLlnD11VdTWFjI+vXrOf/88/nhhx+48MILmT17Nkqlkvfff5+bbrqJBx98kO3btxMQEMANN9zAihUrvCH0vwp/qVGQyWR89dVX7Nq1ixEjRnDHHXfw/PPP/9fvIzQugYxZpx91TGBQOOdO/QejPNOOuyXmQKhI6eJ75xYaTlBVddo0CwbjUjyeY+sd9SiTeU79OnuPMXS0TWDftvojMnBHBXXxkPU5BM/AobGnhk+jrqf/+5hsiyf2l7x+28sHnddvm6tnp9/r6Kg0ZE3+Rqakz2ofQK7wkRB6FEmU2Xzjdd19itNkIkqzzyg096lmNrr8w2l+kt19YttO0Wdl9C4fI6al1Wc4InvWeSe7vnkFq1tOU9gk77h5cl+l75ZM37miD/7s/dtiGuorJsv7FqE35xDaoGRwr7x1V5dIT/dc7zGLuv+FsTcGXqT0kJXlmzTPrzwHe4jkEWicVl6urcKokgxKndzMcxcqEAIlwyXrMjF83eN+QnTNdVnEpU/1vi4p28FO2+9+onNDSozMiZng1xZz44ZgrNaLvAl5gEmdD/GY7nsMfeL1pQqRlnEhZKb6s4oeqxjGIp731l4cQlZNPt+V7Oei4JEIfSitDsHNQ8l5PHVLOK6s/uGXwD/+zdg1/2RYZLvXM/NBoLU2jskX3trvuBNFQ0MDLpeLhQsXkpSUxMiRI7n55pvR6/VotVp0Oh1XXHEFTz31FFu2bGH//v1cffXVyGSyUy7pc7L4y3MKs2fP9tK2du/ezYwZMxBFkXPPPZekpCREUfSrKjQajYiieMqr+yZfeAlqna7/DkFg6tjFLIi7DnWd4oRrDg7BoRHZNKiKP+p3+CVMjwWlEmbPqQJhBcdz8S7VUJ5WvESR9ehjhztllG+tx3UERdRAhYulQa8jsw4sq7F68HR+7OhPmxVEuO0PlbRk7HtfMy+h6TBWljHCRHOlvyTw6EHz/N6mNdBDTbPPKERFybDbfeGa6oAz+h6OvdM3iY8zmP2YUi19JMMNhxmFvoZR1iex2VcUL8Dmm+AaG0SveqhSNJGq9f2gI2N8XsQG0Tepzasv9v79aWghQq/kgTZvjXeFbrWoiR4sKYy63Q5qlT6trTHt8d6Jd+dOjbc5fYCrkhsCfEV/20IFUqOlid7kVHCT/W+ISslQxbZX86wjAHmvUF2Oup5vLk/w9lKWt9SSuesVAnpDVwICrQ3jJPG5XpRX7GJ71y8IAT7DkFiu54zwSX7FXrk5KpqbLkIu9zF+krqW8pTsCb/nZRFgxyAtY8fHeL0cgFxTIGPq7mRn/DWIfcJGAY5uHsz7hXeI8jYzOoR8VQMXn17CjivHeo3dIci6zUR//S8mV39A9GEhpaGTo49b/uZoyMzMZNasWYwcOZJFixbx/vvv9wuJv/TSS0yaNIkzzzyT2bNnM2XKFIYNG+atHP+r8Zcbhf8VBAQZmLzoEr9tifEZXDT+fmLbEhGtJ09bbY1xsCIwl6K6E6PRGo0ysmfuwm7feFzjTeosHpc9Tbnt6GGtFJdAy7YGbEfpPPdz0ncEtPaXqgBoNkTzmDBw7ufvTZnI9/jrG4lyBcUh/XnWgsffm1AqNQR2+FNmayItfiG25BT//EuRbJTf68Y+SeaxfdRUAVrcPtcpyOkfNxb9PAXf5N9XFE/X5TvG5QKVKtb7eqiq0/u33egzOB82pXmLtFKaS7wJ0x6Zk+YpvuRvQleB73h7hpc2ui3/O4ReJo2uQ05mrLQKFkUoK53AoUKDDNOL3sIxlyBgGW7wxuvXtgXzbfht3vNPrtjBbXpfMvXboCJyLhnlfa2oOkBWxWeovGEigbbmycQM9oWJKqt3s9X0o7emAiC6SsOZQZNQq31e0MGDAiXFC/0a2Rjtu3jAdj3Zgf6xvs3BAkkzYgkL7FM97pFxYcksHg95Grfen200uWIHy8pLObtPI59DeDG6gHtu1NAzNbPfPlVJHsO+vJmxihx0QQpUWgUTzxnUb9zJQC6Xs3r1an777TfS09N5/fXXiYyM5IorriA3N5dff/2VtLQ00v6/9s47PKoqf+OfO30ykzbphTRCCy30DkHBYFfEdRHrqmvXtWFDWRv7EwuWXRsriF3Xgh07ShEEKdJDSQglkN4zyZTz+yNmZs7cO4AKKDrv8+R5cs+9c+feOzPnPd/2frt0oampibKyMv7+97+zZcsWcnPV/Rx+CxyzpBCYnXS4kF94MgmZ2Vgsdk4ecS1DTSdB+S8vkvPqBOu6VPJezWLqG0J3OtNCVpZC/wELcDoPTRG12jKUe7mb3QfRVkrxKri+r6C+JfR9PZO7nMzd72vuEyjcldOL2qCqZYAUTyTD56tVZGsnXE5tlWwd2R3NlG1bI40N6HWSiny3OmWFV7tdztL6sc2/UnR4Fcrr/RNNnknOpioPqGa2twWRQgDxKAGWQqAonrlRkVwkiuKfpHLw3/f2gAVfUZOVlnh/jGSCzl/d+063Wt//0V++4NMkaqyJIDm3fTLzeNyU6v0k23t3om/S3bFDYAroNHde2wwiflpp79QLeg3wu5Gm7uhLafqpvu1LfvyE8bH+gr+HUtdQdpq/B4J5/WL6137kz94RCjVVo3zXBe19kxfVvCM1t4nfa+J001DsAVb3nj1eVq4Yj8USIFjoreTS+ilcFC0XNa43CVqGJdAjI1oan7OnE2Ob7md/6jhpPNJZxwOrPuJxQ6avHqMDOww1XDRqA59c3hclUc5mA4j64gUGfTWV8SdFEhF14Oy8nwNFURgxYgT33HMPq1evRlEU3njjDcxmMyNHjuTqq6/mnnvuYd68eaxatYopU9oXo6effvphu4Zfg2OGFAoKCrjmmmu48cYbiY+PZ/z48Yf9PXQ6PSf+/QbO6HY99r0RckrKz0RTjJdP0zaxfNfanxVMBsjP95CZ9T9J7O1AqLCO5R7vrew7SODb4VWw/VBNRYO6nqADl6TtonDvf0Luf7V3IUtrtRVjp6/pjKiplca8VjtF+j6qY82mtSo5kUyT7AtuivVQVukPqlss0Nrqd1k59SkUBbjJMoLWCVkB6ageRS/Jb0S0ye4DKVau+Ce5pmb/axShEBVQ/NTWFlCN2+aPjVTrBBnx/kyntVa/66Vwr//ZfWkt8UlFK60tZNsDSEznX5UvW/0Oyk/qoKYWHYMS/VlEK77vhEHfbl1Ft67lb5H+TLAlUdAzM8a3fVbpJCnl8/4Ni6RUzxt7rpbkJCKWfUB/lvvqH4RXR33tWEk6Ys+eTXxb+T9fphRAVIWBUz2DffUV0N7m89tvBmMxD/WNKQjG197AtKgvsQa4jaoUwY89bAzulxzYLoHSFgtDdvyN99JuRgToJAEct3UR7+7aLRFdB+Y6NnDlxS6qJgyU+i8AWDNSyTxO/f38pVi+fDlTp04lIiICm82GwWCgra2NtrY21q9f70s/tVqtXHbZZYwbN46mpiYWLVpEfLyauH4LHDOkADBv3jwMBgNLlizh2WefPSLvkZCbQ0T3X/fhlGY38Y5Yyp4KdUrmwTB6dD2RUa/h9WpLMARjn+1Epruv8zWXCQWbgJR1deyuDh197h/dwJ3NoQPL2xO7MqtFu5/ESU2dcXyu7rxWddJ1NNXL54uIbKWsSA4wZ3bqo7LKdsbL1ki3bh6E8Fscu2wnSWV7kc2ylZHk8lsZlVGJUpZURAAviqCJQqfzu48aWuRiviirnxQaGv2xg/iWRb4KXoDEgHqF/9X7ewdkVWynW6S/yGv9EH+L2PjvXqLDdV5bHk1CZnvMwOv1UCL8FmOX4miiI9uJoL5e0NLiDzoPqf0nfSL897Wnq91XRVzRZuQfnn8gfpKQiGht5LGyMp98tQfBtaN3SOmdkV/Mo2+k3+3p9ehobBznuzaAvWVFfL3vdV9QHMBWq+Pkpn4kBshZt7YKvviiCwa9nNTRo+4p/mV6krSAQjcPCt8m6ukxOt0n+teB67f35++Wh3A65HqC2KYqHl31Cf9n7kyUSY4PVOqauLLfGl6+ujtK5k8V2TodKffcg6L/dSmogYiKimLNmjVYrVZfIWp8fDznnnsu3377LcOHD+fKK6+kpaWF448/nurqaj7//HN691a7wH4rHFOkkJuby8yZM+nWrRvdux++ApNgRE/IQmf/+U26XWbBktxSPitbRmtr6NW4FkwmGDd+B4L3ONRo9m77RKa3XkadRq+DQJgFdNvSxPZ9DSGPiTa6ecX+JLqWKs39Lr2J25KTaNWoWjYIHRd90qpa+XscSWxpVjc1skVtUEmL9M08TnVcUaPsWohPkEm2SCdnprhqZVMhsilACM8uE70lwM0mdPKkA/7thgb5eUQGSD9XVfpdDnrhpJvVf/+BcYV3yxPw2PyTf6Hin7Dmpu3wBXmNpVtIT/afw2T3u3OWr5mP8lNWkN6tMMTuJ5rlyy1YzO0pqzo8XOJ93NdLeZ9OkDPQ70b6uCKeD5P9kgmZlTv4P0+ML5OnTufkztObURL8z8vx/izyEv0JBx6XnhbnBOI6+f3w+8u38+XeV3zxD2jvdHZiVS86JfpjL+1tPhNwuSb5AvXQLvR3j+d6Btrk7/Iqi8A4IpnOyfIk/3mlg0Hld7C50zkE4+TNX/PuvmpGxqjniPcjt3LhX6soPXMwMeefh/VXTsZZWVk89thjvu0ePXpQXl7Otdde61NfqKys5JVXXuGcc85h8eLFNDY2cvrpp5OUlBTirL8tjilSGDhw4MEPOgzQRRiJOe3nBZ6qU1y8F/0Dm3ZvPfjBQXA4FMYUfE9r65KDH/wTiiOnML3lPBoPIquhE4J+xU427qw94HEfZr6BtSq0CN+TfcazOUBtNBB3lubD1hLV+P4TrqctKEZgjnBRVrRUGrNY7ERUyu6A+gQ3lTWBE7JACFlD6UeXnK9eXum3giINbvSN/vqL8gjZR20OIAXVSlHxbzc0VErNWSIV/3WWlQkCf0LdjP7rDYwrCKFQGuuvbp6w259xtctQR8sQv8sjrcTfR7tybzwxyZ1+OoeXHR5/4L9TSYRPnE4IheLiYXRcaHzLt0yJ8n9Wy22Cfl39tRzXbh/IvjS/dTF6+1KujPa7pLYaqnj63BgUq/8mkt+cTudUv1yJu02Py32yT/YboKKihM93zZPE5YxOHePKupGbKufeL/vOSnXNZHQ6v5vN6i7luqbzmRQtW2d79IJtfaJ8FdsdaHAbmLD1dJ5MvA+vVU5pTawr4+nVnzE9ohsRBlnepVnn4pEBZUTffD1HEitWrACgW7duXHrppb7t3zuOKVKwaaWMHiFE9EnA2iu0mmgHhCLY0KWa+XWLqa3XFpI7ELKzFfL7fYLTeeid3YqiLuW+prNwHkLMY/heN2u2aq/+OzA79zs67f4o5P4VmQOZV6ddQd3FHUev+WoycWV0Y2tljGo82lGEOyhJYFDv01TNh4pj5Oym7GwdLpf/Ptp08WwK8IRFCUWS+h4WU4cS4C4KrGYGMAYE2oU+tKUghFcq1rJ5/ZkxbW1IWTU5wv8ZBscVPnXl+/7vVFVCjwCxt68CFqsRS+cT85Ocs4JCZIKfTL5f+75P6lkRCkOFP3tp2zaB2eTP8Dqu7k46W/w/702ZFhICsnrO3HMu7ii/FXfFmo8piPXHdL6KKGHBBd0lH3zGG7fSKaCHQZvTgFucSkyyXyCvqmoXn5XM8cVAAPQuhdEl2fRMl5vmrF+nsLPE3+YT2i2uM2sv48aoH3zWDkCrAovTjOSPTMMapF76SGlnTnU/SG3yMIIxacPnvF3VzMBoWeNs+rDpRBgPrAX2a5GQ0H5fBoMBm83m2/6945gihaONmDNy0dmCJww/WqK8fJaxhe92rf5FWkz9+rvJyHwTl+vQVVE3Rl3LA40n0noIwetRFR5Wrj+wcODl6aWM2/NUyP0NlmjutAnNqmWAO79LQTSr4xR7Rl6Bxy1fo8EU1ETnJ6SSI20LRVBUWyKNdeokk8Ru2wSpr1xmUOC4n01ebZYbZHeg0emPTRyIFAAImFxtrXKWik7nd42kty2T9gXGFebsy5YE3wrxL3Bei9ns63UAkOnyWxKVe1KxO35y5QjBtjZ/Y6P4PSZpBb5iRaavJkAvmrlc94LPyKnVQVx//6RU5jRxm+4GhK6DgAQzNi4jy+bPqHresZ7N5/jF8xSPm87v3EpSkn9SbmsxguEMohL85Fhds5cFO/7rc3dBuyzG0O1pDMyQ3TUlJYK1a07EbJa/AwPqZnC/9SXig+Swl9kgdnQK6XHyhL6hwcaAnVfzTacrVe7A9OpS5qz5ilvs7ZLcE7tMZETaCMLQRpgUDgC93UTMadq5w7uzWnhb+Y5d+/do7j8wBKPH1GC3v4bX6zz44T9hTfRU/tVQgPsQQg4j6wQrVh1YDmNwTD23Ns1EEZ6QxzyQN4KyFm3SOreuBxGL16jG23oMpbhMneLnSCqmNahpUJfOQ6BSTletTnZTF5TCa7YUSdvb9IOk7eigIHN3k5y5VRH0Tdc3+2MjSpDWjSBoO0AUz9Yk73MFZCDFtCzDFlAtGxhXKG81UpcQ0GNht9/yalM87B7h/57FfjXXVyMghIIj3V9RvPLHjyDeP+kNqM30pcnW1XlpbfWLA6Y1vcekaL91tcYiGNjb74J5a18SX6Ze7tuOdNbxWHm15G65O3uVJFWtczbR/fPpxMb5r8HZZEJvnSj1SK6t3cdHW5+F+AAxS6GQX5TIyABZDICqKsGSJSOxWOQYUXrTu9zPNPKCFvQ7DIKyAbHkd5UteY/QceHWUUyNmokrSm65qyC4YN0C3vQmc8vAW/i1KCgo4Nprr6Wmpobbb7+dpKQknnvuOZqamti5cyczZsygc+d2F/T999/PY489xsaNGznppJOw2+189913eDweKisPref60cQfihQKCgr4xz/+cVjPGdE3AWtf/5fdbRIsy93Ngn1LcbYe+oTeAbMZxo/fjhAfHvzgACyPmc7D9UMOIpLdjiFNCj8sP7BSX6zRzYsRj6MLyq4JxIJuBXykUbUMYBcmznxf2y1VnH++SjpDp/dSGdREB6BngJZ+B0rs8nljYhScTpkUfnSnSdueOtkllSnkoHSFkIlH6roW3HJRBMkq6/2EY2mQfzKNjf4AqA4PeRb/sduDClS/D2i8k15dSq8o/yr/tc5+EtM11pIV43dFVu3LlPoAFLX4s7wiq/X0TvMHVJd9Z8Fs9hPMSfV3kBooX51iJN3hn2Uv2z6MytQC33bn8iLu08m++2sHrMed73ct6av303vZQ5KWUEuDGXPk2dhi/BZPQ30FH296GhLk59l9awzHpw2RZB1amgVfftETk1FOOIhs28DU5r9RGCVbo00KLMu2MHBIKsYg2Yr/7UtmVN097Eo/GRkKOaOmYjfZORyYN28eUVFRnHfeeVx77bVceeWVFBQUUFdXh9vt9nkPmpubKSsrY8yYMeTn57Ny5UoWLFjA/v37+ctf/nJYruVw4pghhYULF0pR/qOJ2DNy0UebqU1y875jNet3H7r/PxBxcQqjRy/D2frz2ol+G/N/PFHX55Bykvq1Kmz8bs9BO4p+mPEalupNIffvi0njPkK7taZv7YXYrSaelsEns0cjEzcudRfNdbILKNIeh7lcdut4dYKiKlkgr0tXJ4EZWW4lkg3N8le3qkqeNOLb5KK3wGpmQO66pgRXN8vbgaJ4ereC3eafVKqqzNKxXQ3+yb09ruB3E71ULWfDFAp/0Hq5eQ/ePP9knrTydV+A2+PSk5jjtxZWr18gTbS99yb5ms0LobCzxO9bN3krudz0nm/bqYAhPw79T3UBQihMKrsAj93v/jlhy7f8Lcbv5mlVPNx0wj6UTn4iNuzZRv6m2VgCpC6a6ixYY8/BGhXjG2torOKD9f+GRJkYsrfbOTFx+E99qNvR3uYzDRHQ5hPaZUQuqDufy6O3qiasxTEKnUan+5oMdWBfq4lR26bwaurtCNNPn8GwqyF7NIcLffv25bzzzuO9997jgQcewOv1snLlSoQQGAwGX8+Xl156iYceeojevXszY8YMunfvTr9+/ZgzZw5ff/01RUVFB3mno4tjhhR+S+isBsznZjO/aQnVtb9M2rtzZ4W++R/jbP152UmfxzzGs3WH1giou0tHydIyXAfJSJrTZQlpez4JuV+gMC2rB/Vt2imsA1tTyXx/tea+bVmnqQcVQd1edSxhUK9TIai+oiKtjaagGEVMUNXrHtuJtAWwnkXA7iBSsDWWyOdtk91RNAUcHxRTEEL+WbQJOQ03KsK/ai8rg8AJLNsrE21iip8UFlXH4Ir2+84Ld8nB+1WDYnz/G7etJjXZf97aii4YTAHyEU3+Og9Lk46BSf4Mpq1bkYLOuQ0vMCHK77bbbPQyIEA0r6TFwj2mmxAB5HjdmgUMi/EHhsv0DfzfX3Qo0QHKpUUr6b/vbQwBlkhjrRV7wjmSZdPcXMcH655UEUPqTgunxgyXZDEAFi+209jwVxRFdkGOrr2N6fYPidTLn89Gk5emIQlSoV4H7tjRm/P0D1PT9S9w/HTV/l+DPn36cPvttzNmzBgMBgM6XXt3vuTkZK644grWrFkDwJo1a3jsscf4+uuvsdvtvr+OtPqOnvS/FxyTpPDKK69ID7fjb9GiRbz00ktMnToVh8NBcnIy//znPw/LezoyExg+fPjBD9TAgAEu0tJfx+X6ef7DD2Ke5oW6Tgc/EMhyK9Qu20dL24E1mq7uVMLY3U8f8JgX+0xgeV3o1cuNC+1S17IONBx/IRUasiAJafuo11CFTWxLV40Vm2XrxGAAl0tORd1mkOWNc1yKVHyebG5DH9AhzqUzUtPqd8eYhR4RWEcSlJLqDbIU2jxyIWGUyT/RO50Ck8mfb57aKpNfYFwBYEuUfxWfUrOLPlH+1Oc5yVsl6ef0Mr+7rc1pIKWr/7VrN3wuTbLdSmKJDJiIV67MQq/3WzSTmqYRG6BOujROkXL/X9ybypL0S33beuHhoS0rSYvw39sPpjJeOz/dV1cBYFn1OQNav0EXUJHcUG0jOmUy5gj/c2purue9tY8jkuVnG7/HxKnmodgi5MDB6tUG9u45x9fmswO5DXN5wPAQWRZ56qrWCVZ3i2DwgJTgomVWNzmoHj8LDOo4189Fa2sr1113HUuXLuXZZ5/lpJNOYurUqaxbtw6v14vL5WLfvn08+eSTLFnSnmL+9NNPU1hYyMSJE1mzZo30t3XrVkaPPnzWy+HAMUkKp512murhrlmzhoEDB+JyubDZbCxfvpyZM2dy77338vnnnx+W9y0oKCAjQ12MFQqKAmMKqoiwvY4Qh67V5EXPWzHP83pd4sEPBpK9CmJFJbXNB1ZfHRZbx00NM6VUzWAUJXXniabQ1sxVFX0wrFLrMXkNJoqitDM6GquWqsZ6di9A1MjX6zEItlaUSGNdugg8QXLhGzwyUcYGKcIOi6mVtiujkhAB7qc4rzwBCd2BSaHFLYvw2XVyTYVO5ye36Na1OAIm3+C4wgctcvZNYUCKa6Wuifqhft+97ds3iQzI+W+q74kugMA21Pufq96lMCTKX9BWW+ulLSDobHWXcnmEX1jRrSg09YzGHHCtF24bRW2yf+ET3VzDY9VNWPT+a3wnsohl5+dL92D75nXyLXLsqa7STmynv/qaBgE4nY3M/+ExvEHEEFNu4FQGEx0l15Js2wabNp6G2SR/3nHOpdzddgUj7PICxKsofBuvo9vodGIi/M/t3tN70Tnh8MQRpk6dyttvv0337t2ZPHkyubm5FBYWEhkZSXp6Omazmccee4yysjLOOcdfWNe/f382bNhAVlYWubm50t/RTLU/FByTpBAZGal6sLm5uVitVvr27cv06dPp0qULF1xwAQMHDuTLL788LO+r0+mYNGkSEREHz2+2WBTGjS/C6/34Z72HUAy8Fj2Hd+tiDun4WAGRq6rZX3/goHecycUL1sfQOWtDHtOmN3NbYjxtXm0CS/TYOW5+iea+2hOvpK5GTUpxKZXU7FUXvXWPUzcz2ZfmVFWCJ6fIKbUexcra5qDAcL18vX0j5EB1uV3OUonzyJO60AfHFOSfRUur7HqyC3mmd7vk/PM8q/8eguMKL5el+33cwAm71kl9AT7p6b8XxeshS+ePrzQ3mEnp4g9Wr9/0NSIgPTSz2Eaiw38ty5ZFSKmevetmMTLS/xmVGAS9A0TzPELHXyv/hjfCf47uZRu52yhPyo8mr2H36YOlsZiPn6J3nBxjqi2PJj5rMgaTf4Xe1tbM/JWP4k2Rn7G9Ws8pLf1JcMRL4/v2eVm2bKzU5hPA7NnPlY1TODdanWG3xiJgeBJdUiOZNCCdSQPUFukvQVNTE08//TQPPfQQDoeDuLg4Zs+ejdVqZc6cOej1ehRFITo6muTkZKxW//fs6quvprq6msmTJ/P999+zY8cOPvvsM/72t7/h8RzYuj/aOCZJ4UDo00cWt0pJSfEFfA4HoqKiOOussw7YECM+XmHkqKU4nct/1rk9ipW5kfP4uP7QVjVWAenr69lVpa4TCMaHnV7FXH3gAPnjfcaxNUhaIhDT13fBW6nOVvLaoigiT+MV0NakfgaO2FQM+9XPb4dB7WLS6WS/+76IE1RFe9WVsnuna9B5Kq2yHLcjiBSCA80ej7zd1FIrbdvaZDdEY6N8/i46OdKeFBBXaPLo2B/vX40n1+6hb5R/4n47cgtKqn+ijls4F0NArr7LLUtBr6/xu6sUoTBU748DeL1QulO23qa03i+lzS6JlkXzNjdG8GDETVL/glM3fcWUGPl3dVOPVbSMkK8l4e0H6Joix6Fq9seSmDsZfUCfdZfLybvfP4InqKeBtUHHidV9SE+UJbL9bT7lTDVFuDm59mpui1qMRSefa59eoAxN5P4zenG4sH37dlwuFyNG+J+p0Whk8ODBbNoUOmkDIDU1lSVLluDxeCgsLKRXr15cf/31REdHS8q7vwf8vq7mMMBolLNZFEX5RYVlB0Lnzp0ZO3as5r7cXOjd5wNaW39e7wS3EsnsyLl82XBojTaMAnoWNbF1b2g9ow7M67KIlD2fHvCY5dmDeKk2tMzF8S1ZJCxQC94BVJ54Pc0N6lhCbGIdFTvVRDSw+8kQFAx3mQXb98sWRWqqQlubXAeyzSjHdcwCdlfJtQ+dhPyacrNMAjHuIF2roECz1xOUdtosJxfYWuTjq6pkksjyyn0oWoLiCovoJ21PCHAhCQWKh/ldlLrqfWQm+Em/vspOcq5/gt645VvJT5+4y0x2ij9Hv6gIaTKNal3P3+z+GE2waB7As7sz+KHTRdI13rx2AQMCqoKFAteN2o7oJhedpb1+O5mp8nehuiyO5K5/lXpfu91tvLv8Udzy/I/JqTC+rDs5KVnSeEebT11Am88O9K6bxQPm50gKCHhHG/Q82ysbS1D186EiOL39rbfeYuLEiUB71pHBYOCBBx5gxYoVLFmyhFdffZWamhpcLhclJSW+13U0DAPo0qUL77zzDjU1NTQ3N7Np0yZmzZr1u+m41oE/HCkcLYwaNUolyjdwUBupaa/jdv+8DCWXzsFT9udZ1HBoInyKEAzc2cr6ktqDHnttRjGjdx9YUbbOGsOdVo/kdw+EHoW/LxDtS88geOLTKGpM03gVCM9K9bUrOhzN6ljJ3rRmn6pkB7KzG1XHbfBkSduZbkWVbRUX1IOhIqiaObjrGkExBY9L/lnUN8gJAtZ6+fiyffKPOqXlG2l7h0VWbH6+vKuv8Q7A+NK1UkP6F7P3SC9IXjdfOp8SUO8AsLZiobQ9qDFLmmh+WJmDXu+3VgbX3ke+zf/M9ukEnQfKOlKTtx1PQ6L/fQxeN49s+5Ekq9+9U6c4ueO0RpQkv7tJEYKct24lJcg9VLU3gdQef5F6oXs8bbz73cO40uTPT+9SKNiZQ156V2QofPNNLM6Wc1AUmZiTmxdwn/cW8m0CHfDvHhlkR5j5pXjnnXe47777AH/f5UsvvRSTycRtt93GxIkTEUJQU1OD2+3m2muvZdmyZej1embNmkVDw8EXa79XhEnhF0JRFM4880wSEhJQFBg7thKr9Q1J2vlQ0KpP4vGI51jeeOgrmpFlblZvOXgm04jYOm6sO3BgGeD+HsPYH6LtJsDU3fkom7XT5srGXUubU+0TjYprZN/2H1Xj+T1PQNSrrYrtQl3cEGGTrS2hGFjTIk/w8RptR60NJdJ2uU4+JjK461owKQRbCo3V0i/F2KpgMfstupZmgdHoJzqbazspAavW4LjC5sYIWuL9bo3EujLyA1xI6437cef7FxzmdYtIDIgd1OyPIb6Tv6Zhy7aleJP97xdVYaBXmt+NVFPjxdXmDzrr8HCJZxamAOJYZhPkd/HHXlxehSm1f5eE5uIaK5hV78ak85PqdkM1/5kchRLgP1fanHT78E7igorWKvckk97zbJQAAvR6Pby75GHa0uTvkM6rMGx7Ov07qd0/K1aYqCifLLX5BLC5tnFj0wU8k2tgfHy06nU/Bw6Hg8if2nl29F2ePHkyV155JU8++SQ5OTmUlpby6quvAnDHHXfQo0cPrFYrbW1tfPPNNwc6/e8aYVL4FTCbzUyePJkTCvfi9oTO+w+FFkMGD1ueYnXToZuPoyq9rFh38BhJgsnFHMsslIBUTC182P04FtRoi90BZLlj6D9f21/qzsxjW0WU5j6DQd1EByA3qp9qrC3CS8n+XdKYzabQ2ipnOe23jqMpyCrQNcgknBvRorrn4GpmexApBKekBlsKQnhRzPIxgc122k8hBzPzLHKcJyFZzjBZZx0qbRe65Qn0u/5yMkNGjaywaYmSX79mv5xM0Wd/iuRKXbbMhtmc5dt2tCzhvCi5SHBLtoU4u3/C/7HezpORN0rH9N79I3dYsqSxhdadfHhhVwiwAnQN1fT65gGiYmUSr9idRqfeE6UxIbzMX/IozjR5saAIhf5bkxjeSf2d2bQJthadickkWzgpCWM5TYNIfi4C3UeBfZdLS0vp3r075513Hv3792fTpk0UFBQwZMgQoqOjqaurw+l0UloaOjb3e8cfihS0qp7nz5/PCy+8cMTe0+Fw0L3bpapCm4OhyZjL/5keY+PBY8Q+DK+HFT8cvHGPogg+SH8Zc82BKyXLYjsxw3tgfaS7VnZCNKjdOAClI/6OV6NQzhbtpKxILROcmJiNbp/aatmV0qiK+3Tt6kIIeZLYbhpJMGqr5CDzkGi1667cHVTY1hY06euCrTRF8n8DkigeQJRZTgYIzkDKVWQXljMorvC/Bjkwf8JO2YX0QvxmFLufSOwLXyYioLtZxd4EopP8DvmtO76XArfWBh39k/0FbR4P7N4lB2oL6qaRa/W/pkaBxAGyxv+s0hzWdZJ7l5+14QsmBfVFnhe7gQ1/ld1a+vJS+q55AqtdfpbluzLI6HOGNCaEl/eWPEpLmjrzLW+rg+PSB6t873v2CH5YWYjF0m4VRUX1Ja/HTNXrfw60pHIC+y737t2biooKdDodmzZtIi4ujl27dvHYY4+xdOlStm7dSnx8/BFpF3y08Icihd8KsbGD6d7tvkM+vt7ciwf0D7FNw/URCoOaFdYsOzTxvZdzvyV574FrM7yKjjsyu9Lg0p7wASbVdyPya+3K5dbeoygp046BWG3rERrxh4FdTtLsH7TNpZbLiItTj230yj0uDEKwq0IOMvexqt1gFUH9pCPkrFcNUkBKowRZFA8gUi+v5JuaZIsp071G2g6OK7y9PxFvhN8/H9+wnwEBhWwNulaqRvhrFnRtrWRb/M9EQSE6Sc4sWhX0mffY6cAWUEC2eTOYzf7X6EULlytzpElgtcWr6ltwzo4JNMfLmUZ3rP1cKrwDuCdzFdWFMjEYi9fTr/RljGZ5qinflUNG36CgsRC8v3gWzWnq9OqcbZFMSBomyWJAez3Gt98MwW47mT69n0WvP7REjVAIjCUEIrjvsslk4t1332XRokVcd911nHTSSfTs2ROz2fy7FLn7OTimSKG0tFSzkrnjb+vWrVx33XUkJiZisVgYOXKkr7HFCy+8QExMjHS++fPnH7bIf2rqJLKzrj3ocTXmgdzPfexsPfSMqL6tCpuX7jmkltE3ZOxg+K7nDnrcC70LWVkXukjNIgyc82Fo11Nxr8maE7zZ5qKsaJlqXK83EaVRe9ES5WVXuUx2igIerxyP8KJndbP8g8/06GgN6jqXq5ctnza9mbogiQtLm3zhwSqpAHqjTAqBongAduRrqa6Wt5NbvgrszUO1TpAZEFcQQmGnQ7Z8Ct3ydbzXTQ5Wxi2ehy4gnbRib5okQLej5Ac8fgkjDG0KQxxyz+LVq3KlxjapTR9ydrRcRf5DqpE0hz9G0OzRc3HjlQizn/iMnjYeLdlCnFmuOL6u3zrc/WUryPLjIgY0fCpdO0B5aVcy+sitOQE+WPw4jalNqvG0Eisnxw736Tz5YSI7expm86/vVxAYS+jA8uXLmTFjBitXrqS0tJR33nmHiooKevToQW5uLi+99BKbNm1i+fLlTJkyRapPOBZxTJFCamqqZiVzx98TTzzB22+/zbx581i1apWv2rC6OrQS6OFETs4/SEmZFHJ/lXUE94g72dN26ITQzaWw6xD0jADGxNVwXd1MlINI521OyePfTQd2Ld29ow9i527Nfc3Dz2BvmfZ7RMduxuNSm84Dep+EaFIHmEuT6lVjOTmoMriqrKOp88jPLcGpvoY0r2xhVESpWx6ag7rBaVkK+qCMJZcSHJcIEmALykAye/aTGeRyig+KK3wRVHMwrmQ1+oCaiU9s21Gy/IVjhrISOiUF9IHw6IjLkIllxe4FUqe4rB124mP9AeSqKi9u9wnSa06sv13qj9yigDlANA9geW0Uz8feIL0uqW4vjzQbMAT0L2hTPPxj/B6ULDnGErF0Pv31K6VrAyjflUen3uMIxkdL/k19qjqDJ3G3iVOtQ4mwthObXq/nr3/9K4mJh1b9fzAEuo88Hg9Tp07l9NNPZ9q0aQwdOpTOnTszbdo0HnnkEU488UTmzJlDTU0N/fr14/zzz/ctSo9lHFOkYDAYNCuZc3NzSUlJ4dlnn+Whhx7ixBNPJC8vz1dt+Pzzzx+1a+ze7QHi4gpU4+UR45juvpkK16ETQoZHoX55Oc0H0TOCdr2f2cZZKK3qSTYQrQYLt8XH4PKGzpLq3ZZIl/fVmUPQnte+Lf1EzX1Gk5t927RbimZZtIvbtraoiSc9XU3i281jVGNGjdqImBY5wFdhd6iOMTmDXqeofwb6oHoXF7LPKSKoVqGxUWA0yJXTPUzypNYaK69wny/L9jW5gfbsnoFBLplNQ1Ok7dQiuUK+en+2pDG0s3Qt7oCX6LwKQ4xy6vTyZZGYTf5aCKO3hitN70jHbDQKBvSVCfX+km5s6XS2NDag9AdujpAFG8t1TTxwFigxcgZQ1Gdz6BstB7cBKnb3oVOvAtX4J0ueojalVjUeu9/Iabp2WYyJEyeSnZ2tOubnIJTk/qeffsrrr7+O1+vljjvu4NNPP+Xll19my5YtXHPNNQD069ePFStW4HQ6KSoqYtKkSZSUlBx2Cf+jiWOKFA6EX1NteDih0xno3evfRAdk2ey1ncr0tqupcR86ISR6FXQrKqlpOnjASlEE76e9hKn24AVzs3ofz/ZGbQugA1MXORBObdmMhnEXU6khegcQm7SDthZ15Dw9LQ9lv5rYGuM87NMQyjOa1AVvm4S62VF9tRxkVhSBuV4ugCu3qrOjjC0yIQbLXADog8TT2oKkt60aKcR6gywH0Vkpkba3WYQUV9jXaqI+QW44U+iSl9IvdCqWBOisKz+VUj3dbXqScuXYwoqdH0kr8pRSCxlJ/pW72w1798oibNkNL3FylBxf+i5BT06SHFCfVHwqzjiZ4Kes+5RTgwLPa0z7eOm8VAgi17j5D9MjSU365Xv6kZ6nTiT4dOmzVCerj7dX6fnbiL/Qs2dP1b6fC604QktLC1u3bmXOnDlEREQQHx/P8ccfL+kZ/VHxhyEF8VP6Y3CMQAiBoijodDrfMR1waSh9Hg7o9Vb69p2D3d6Dnfa/MN15MfWeQyeEaKEQu6aGfXWH1sTn1dyFJO49uL7T0uwhvHqAqmWAS6t6Yf5e+xivyUyRfajmPp3BS0WJWh4boF/2eM3xEketaiwuTtGsBl/TIrteFCHYVS77nfMjG1HcMlFUmNT+XX2LTLRCw1LQ6eXJrMUlv5e5WcEQ1JzH45Z92hkuuQK8RkGKKwB8b5Q7yI0rWYUhoDBrh6GG1oE9pGMymmUrrq6qqxQDKd29HleK/H0b7JQtkI0bFSxmuafxxKY7iQuU1FCgpVesJJrX4DZwufNqhFG+j7vXfUWPSLnb2fuRW1l8viyPAZDyxl10TpUtLwWFyrJBpHVXa2J9/t1sKpPkuEdUYSbRQ7SLJn8utOIIjY2NKIrCmDFqC/WPjj8MKeTm5mIymVi82D8xuVwuVq5cSY8ePUhISKChoYGmJv+Pu0Pv/EjAaIwiv+88XlUuoPlQIsQ/wSIga0M9OyvUgTYt3Jy5jaG7/nvQ4+oiYrnL0hayahkg1mul8L3QGU61J15NvYboHUB8Sikt9bWqcZMpAluVtgpkUYNaKC+3S4tqrMoyjMogt1snj07lVhsUpZGOGtxVDbnrWvuAetUfTArNQbUPilBUtQpNzbK7JLF5IcFnDo4rvFwju3Zim6oYHC1P4N/0kc8S/eULmK3+sdZmE6ldZbJeXvyB9OuO2W9QVQivXt0VXYDiq8W9m8utX0vHFBu8kmgewDdVsbyacL00ZnG18NiuncSY5GfwRNJaSifK4nkAGW9MJT01eFShqnw4qV0HqI7/ctkcyhPLQIHIgnSixh66WvHBEOg+crlcvP/++2zduhUhhK847c+EPwwp2Gw2rrzySm655RYWLFjAxo0bueyyy2hubuaSSy5hyJAhREREcMcdd7Bt2zZeffXVI1q/AGA2x/Fyn1yyrIdWw2AQgt7bmtmy58BxgQ4cF1fD1TUHDywD3NN9KOVO7faZHfjnph6I/drd1rz2GLa4u2nuQxHU7NG2Egb1ORWhUfFcm+TWbFgUFVmiGisxq3WmkltVQ/Q0q6+9Uusb3hxEPIdACk0a6rJRFpkUaoIykIyiji5W2XINjit8UxWLKzpLGisMykx7ybEJJTbGf23OJrKj5M+yqamXJCGxZ+9m2lLk555fkSZZN5WVXrweOejcs+4JRkfKltSSaMjLkCf7O3f0oiT9dGkstaaUmW1WKVgOcEvXVTSNypfGFI+b3HdvJSEp6NkLhZqqUSTnykF4gK+Xv4hzJERP+HUxhANh8+bN1NfX8/rrr6MoCjNnzjysgprHAv4wpADwf//3f5x11lmcf/759O/fn23btvHpp58SGxuLw+Hg5Zdf5uOPP6Z379689tprh60Bz4GQbDbydv7BiUERgsG72li349B0k1IsbTxjfASlLXSdQQfe63E8nx+gahlgpLMTKR+vCrm//MR/0KKRPQSQkFZGQ5X2Dyddp44FAJREq/3EJhO0udapxjfSXTVmblRfS45OXYhXLjTYo0mOD2i5jxSdbGE0NWsQmFGuVdi3T32ebqZaaTs4rgCwNUp24xxfskrK6GlVPOwbIQdzE5e9Ip2nuc5CShd5hb1s23sQkEEUUaejX4ocD/juuyhMQf0KznXeiz0gfVQoCnu7RkqieQBnlU6kLUb+fIcVf8/1dvnzEgpcN3wrood8rK6lkZ6f/5OYOJmAhVdHfe1YknLkeEG/CaeSe7K6p/fhQlFREdXV1YwbN46JEycyYcIENm3aREtLC1OnTsVqtWKxWHwp8H9U/KFIwWKx8MQTT1BRUYHT6WTx4sUMGuT32dbX11NdXU1tbS0ffPABl112GUIIzjrrLC644IIjdl1pFhPv5OeSfQBiGLnfw6pNh1b0ole8fJD6AqbaHQc9drcjg3+5D1z0pgi45nNjewRSA57EDLbWq1M7AQSChgrtjKOc7AFQoT6nUARbqktU4127evF61XGUNc5I1VhTtfq4FI/6PiuCqplNQo9o+fnuo/p69Wdjxxp0jFB1CstB1oyqUSAzQXYhfeCUg7TRzTUMjZIn0De7yJaBYedG0lJkC9HtzZe2y/ZtpTVFdvfl7YrzpXNC+0e+r0z2m0e2beJS+xppbJ9e0Hmg/B2oajNyned6hEG2kC7+8RMKY+UJvUHXyq2n1KIky+mauup99Pn+EWxRaqXaxsZxJGS2W6f9TjyV4y6+nMOBDz74gJiYGF8VfWNjI48//ji33norAElJSVx++eVYrVb++te/Au1uJafTSUxMDPfdd98RdT3/1vhDkcLBcPbZZ+PxeHj//fd9Y5WVlXz44YdcfPHFR/S9Uy0m3u3XhVwN5cZR1V5WrFVn4YTCa7lfE7934UGP8yo67szIpcl9YC2Nm/blo1sfum5h7/HX4ApRbJeQWkntvl2a+3qnaQfpqlJcNDRq5KAnqZ9Bnbkf+zTqOnZXqC2kqCZ1jKK8tVbajvNqFBZpkEKwCmdDU7Xq12LzqD9Lg0HOz+/U9r3qmIRkeZX5YlknVeC2MMjltshSqpKpTt8pJxfUV0aSlCPr/iwtegcCVv1Gp47BcfKEvWGDgsUixyQG1t5Hf5tMOstsSKJ5AAsq4pifdA3BuHf9t+TaZQukxFDL45NtKEGdxgy7ttBv6xwpTgLgcelpcU5gxDmXcNxFv44QAuMGo0ePpqGhgdWr26v1a2trsVgsrF+/HoPBwKxZs1i4cCHjx4/noYcewmq1cvPNN7N9+3buvPNObrnlFqqqDuyKPZbxpyIFq9XKueeey9y5c31jr7zyCunp6RQUFBzx9082G3m3Xwy3SA4AADrISURBVC55Nv/KangDrFhxcD2jDtyWWcSgXXMO6djn+xSyqu7AaappniiGzA9d2ezK6cP28tCmsrNBXb0MEBERjbVcW7q42Kb9g1JQZz0VW9SFTakehfoW2QIx67wYG2RychqtKhmPOI+6a96huI8QAsUiT1o2p1rmw+ORV9PxLYswB/mLWqKD4hVuPeUJ8qR8XMlKjDr5uLWD5AnZunQ+0Q75GL1FlpkoLy/GGRSAySmOxBEtWzRrVndDp/N/LxUEF7sfVl17sGgewA3b+7MnTa5diWhr4vGyvUQa5e/OYssu3rugs0qE0LRpOf0r50sNhQD6nZDL0IlncjgRHR1Nfn4+CxcuBNpJoX///uzcuRO3282nn35KUVERBQUFNDY20tLSQlpaGjk5OVx77bUUFhbyv//977Be0+8JfypSALjsssv47LPP2LOn3dUwd+5cLrrooqPW6CLB1E4Mg6JsDGxRWLtMrfETCuPjq7m85qFDCixvSO3FU40H7rQGMH11NqI2tJxF6dBLNUXvAGKSaqgs1SaUwb1OQ2gU6nl1gq2VJarxTp0U2lzqmMBmjY5uGpppDIppQPHKRFERpa4sjfGqiUpodL5SFA1dpyD9nogmdWZTS1AGkl446WaVn992qzqusFiR4wFRLXUMC3IhzUndihIg8aAIQZZH/oyryxw40uRA7JLNb4PB/4Y6j8IQi5zmWlHhRXgLpTGHcxnnR6ndX0kD1M/1rN3nqALmGZXF/J8nRmo3CvByzEbWTVZnGFlXLKC/e3F7LaECI8/uwuBTjkxQuaCggIULFyKEoK6ujpycHHr37s2AAQO44oorcDgcNDU1cckll2A0Gpk5cyZxcXHY7XY+++yzY1oF9WD405FCv3796Nu3Ly+++CKrVq1i3bp1XHTRRUf1GqKNBt7I70xKlQvPIaarpllaeUr/CErbwVNVnUYrtzsicXu1YwQdOKUxl5gvQgeXnflj2Vl2gD4Pbu1ObADJnkzN8Yr0Vpo1CtwyM7Uzrta0xqjGLBqVzAM0rI9yW5xqLNatYb0oGveoqCf8YFE8S4OiWkzU1KjdU92M8rVpxRXmlMuBZIAJTjkesE/fSONQmSRjv5qrEpuLiJUD15WVpTQnynGUtJ1WVdvL9qCznPs/uu4uugVlUK2yCAb2lIlhX6uJW/kHQi9bEaO3L+XKaLWU9X2dVlF54kDVuP3rV+hn38K4C3vQ9/hOqv2HCwUFBSxatIi1a9eiKAoOh4MxY8YwdGi7xVZbW8vEiRNJT0/H4/Fw3HHH8dVXX7FmzRoKCwuPaRXUg+FPRwoAl156KXPnzmXOnDmMGzeOTp2O3JcvFCL0Op4+tz9n9T94U3G94uX9lLkY69QSAVp4uPdxFDcdOLhsEnou+LhFs+dBB4p7/EVT9A4gKr6Rfdu0pTB6dB2JqNauZ9hu0k55tUaoLY4GUw92acQyWmrVGUV5ZnX2U4VVHaCOCm7FibalgKrCADx6mYx0XoXIoFqFffvV58oRaostOK6wocFGS5w8eY4tXik1tAH4rFdQM5qGarIccnymck8SUQlybcGSTf+TrAWAwS7ZEnG5YP9+Of1XL5z8XZmtmihWpRlJjZUJ8J39iXyaciXBuGLNxxTEqC2+f/Rdh2ugHN9QIiLofUpPugXJexxuZGZmUldXx913383pp5/O448/zpgxY1i5ciUWi4Unn3ySnTt30tTUxEUXXcTLL79M3759ycnJYevW0O7WPwL+lKQwZcoU9uzZw+zZs/nb3/72m12HQa/jkb/05brj1avEQLyZ+yVxZd8e0jkXdR7GGzXqtM5g3LmzL2xXB2Y70DRyEmVloauwDTptSW2AHgnDNMc9RsG28hLVuN2u4HSqpUh2WgtVYwB7y9XWUpaidj1pVTNHudQWgJb2EaiPc+nURBdllSf32hqBXi9La6S3qeMuwXEFgHURcjWv3VnP8CAtpDejN0vtLwGSfngz6EwKMSmy9EV19R6aEmULzVFmpFuafP716xQsFrnYLLnpE86JlpMAmhWw9osPzHgF4IptQyhPPT7oagT/2rSULJtsmbQpHm44bg9Kdnshmj4hnswXX8Q+WpbgOBLo2bMnvXv35uOPP/bFE0ePHs2qVat88QRoL4r9/PPPWbp0KZs2beLyyy9n374D9yA51vGnJIWoqCjOOuss7Ha7r6n2b4kbx3fl4bP7YtKrP45pWVsYsGuuxqvUqLHFcbdRXREcjO6uePLmhyYOoShsTdGWpgCIiHZStlXbdRQdnYRxv7bLqSzNqWl2d+vWBqgJaLOidjskehSqNfSgklxqPacKg/o6gltxAggt95EWKWjUPESZ1NXaRqNseca0LMMWJButFVd4q0Gt41MYJMnhQbBzuOxnNxWtJCVZ/u5U7u1ERFSMNLZ4w/8gKJDbvypD1aNg7Zoe6HSym62w7nY6BbmpNhi9DMyXLRKAiXvPwx0pu6HsznoeK68mwiAH+sv1jdw70Y1xUH+yX38da69fr2V0KNDr9Zxwwgl4PB4fAcTGxpKXl0dCQgI9erTHXO666y769+9PYWEhBQUFJCcn/y7mjCOJPyUpQHvf1SlTpmA2H7y5d2tra8g+DYcLkwak89Ilg4mJ8K8gJyRUcUnVw4d8jn92G0Rl68Flwm//LgnREpo86gsvo1qjvqADEbZ1mk10AAblnQIhAtM7NIrLAGId2gJ9a1vVMYH0EHJVdq10VEWjK1yrxlc+eLkLCKEmilaP+pnZdWprxBuUgaTDQ55FdvvUKJCVIFsZb+9PxGuNl8bGFq/ErJe/o6/kqLPV0svlWhGvR0d8liwwV1tbRmOC7Gqy1eromyoHncvLvQivXOlsFHVcYVBn3CxL0JMdJJq322nmbsONiKAMrs7lRdyvqIPU0dldSX7+WYxph0fLqAMLFixg5MiRxMTEsGTJEt577z22b28PnJeUlPDII4+wevVqSVRvzZo1lJeX+2JFDoeD+fPn09DQwP79+7nvvvuYN28e8+fPP6zX+nvCn44Uqquref311/nqq6+4+uqrD+k1U6dOPSp9GobkxPHe1SPommQn3dLKk8rDKK5D00B6J28cX9VsPOhx59fmYV2yNuR+YbKwxawOAHbAYmvTbKIDgKIQ36LtC3ZZvGzfr564dTpwu9WxiWZjNjucauKxNaolM6KNbvQN6iyuCq/aoojQiA9qWQpapODU6FJn96g7fbW0xKjGuhrUNRjBOkgeoWNX3HBpzNbawMhI2cWz2lSGp48sOWL/5nXs0fIkXFPeGZNVXpkvXvcmikn+2ffanYDFIt/HsmUxmEyyuyer8VVOjZITAtoUaO0Vg8kgn/PVshS+TbuMYIwv+pZLYvzFehfkXcC/j/s3dtPhrxBuamrixhtvZMWKFfTt2xdFUTjzzDNVrV/DkPGnI4X+/ftz+eWX8+CDD9Ktm/+H1bNnT81ubjabjf/85z9HrU9DZpyNd68awf8GbsRYH9rnH4hdcVk8qOE+CUak18xp7x1Yx6XqpGtprAutHhsZuxlPCHXZvnnjECFeuye1GY9HPaHn5oLHo8482mnV7tnQphFkHhZTp5mmW+5WT+KWVvVxQisdWYMUmjV6Vdja1FXqtbVq6yHbq46ZtMSo4wpfePJVY4XBAn7A9/3lSVTxuMk2yN8XV6uepFyZZOrqy6mPl+/D1KJjUILstmlrg/JytebUGY3TiA9yQe0wCPr0V7uRLto2kupktRz2dWs+4ThHb2aMnMEtg25Br1E8eDhw1llnMXHiRLp06YLdbmf8+PGsW7eOjRsPvnj6M+NPRwolJSXU1dVx8803S+Mff/yxZje3N954A4/Hc1T7NNjMBlJOvhOOuytEENQPj6LntvRsmg9StQwwfWtPxN7QQTJvVBxFQRkpgTBZ3Ozbqi1pAdAlWp173oFtXu0CvdQ0bWmPIp1aEA2grEJ9n/0itIvhKoKqmQHMGuJ8WimpXq96rKlFfT6tWoX9GjGV1Fa1YOA2szqu8N+yHJXbZUzxCqxBvYfnJG1BiZCtAMfCueiDJuzGmm7og5RiF619HSUoPpBbHE1MlFxjse5HHRaLLO1t8ezhCssXqntZGgM9OsmvF0LhnIqL8diC3GnR6Tw+8FZO7Xyq6jy/FM8++yxpaWmSFbB9+3bS09OJjIxk8eLFvkVcv379GDWqXUPJHULa5c+MPx0phEJmZqZmR7eOdNVQfRqOGBQFRt8M570NEfEhD3uuTyE/1m8Pub8Dg1vTyPggdMYQQPmE63GGEL0DiEnYjsupHYuIj89Av187luC0edm5X1sKw2DQJta1bep+u7ECyuvVq+buJrVrptlk05T3MGmQglZFs9AghcZmtbswokH92qoqgV4vu4aiW9fiCHKx1OrUcYUyp7rxTkRbEyODspDqdE5qhsuxAH1VGZkJ8ufT0mQmJUhWu6GxilqHLPCndysMsanTRtf9mIeiyNZQj/r/UBApW2xeRWFf90jsZpmAtjZZ+Zf1Rv8z7nIC/P0bSNEm/V+Ks88+m8rKSr7+2i/9fdJJJ7F3716mTZvG008/7XORPfnkk8yYMQOA//734LLzfzaESeEgOFifhiOOzsfBFYsgY7hq17r0PjzXsPmQTvOPryPaE9FDwJ2SRVFt6MbneoOHiuJFIfcP7HqyVgIRALtTGlUNjgASE3W0tpaoxp36NIpa1MdnaAWJgQzUVohWNTOA0anxDDQCzVqWQn2D2qrRuxRJYM73PgZ17UueVe36Co4rAKw0qfsPFDapY0sfdleTXsr6+aoxZ0tvlCDiW7T2DZVsR3qJldSg+oZ9+7woyEFngMnOe4gMypYr0wm6DFS7kf67uxPLOv0djr8bzn0TItQtUn8tHA4HEyZM8PU/qKqqoqioiNjYWG6++WZeeuklpkyZAkBycrLPUnj77bcP+7Uc6wiTwkFwsD4NRwVRqXDRhzD6Fp87qdlk4/aYCNzi4ObvNeV9MKw+sKtrb8E1uDWE5zoQl1JKS4N21bFebyCmIfQPfWubdiFdTmftIHqp7UTNmrmoZu17jW9Vx1PKbdrXo29WR5q1As0ej5ooGptqNAkk2qYukvMK9eTYRacmL624wivVaqnw0cUrsRrkWMX7kVtROskZO+Yfv1X1KGistZLcJV8aa2qqoSZWJjlFKAz2qGtmli1zYDLJ92Nv28Kl9pWqY7+zC/rmys8+NdqC8bhbYdRNqPxlhxFTpkzh7bffprW1ldjYWAwGA4mJiRQXF/P999/z3HPPAXDmmWf6+jpXVlb+4aWwfy7CpHAIOFCfhqMGnR6OmwYXfgDRnXioVwE7mw6um5TotTFmfskBj2nr0p8d+9Wr3Q4oiqB6t3YTHYD+vU5EaPQ3AGiO9rCnXPs6IyO1K7S36vprjrvqtKUFbA0lqjGtamYAfbBsNiDQSEnVsBTaRfHUP5lIs3pCcbaovxtZXnVtiFZc4auqWNxRcmcxa1szYyJllVSAomHqNM6MWnUNiRf1M1205nWUIGXS+L0muqTKdRCtrYLKiuNUrx9QO4OBNvVCYmt2BI6fRPNO7p3CJ/8YzcCsX28dBCqdZmVl8dhjj0np4ueff75PBnvPnj243W42b95MXl4era1+K+2f//wnL7/8MgDPPPMMq1at+kNLYf9chEnhENDRp2H37t38/e9/p6ioiFGjRh2ReoWDImsknisW0xxzaNIc//yxC6LqwKmzpYMuxnsADab49L00VmvLUwBkRfQOuW9norZ1YbEotLZqF9D96NLu3VCuEWROsbSha1G7dSpM6lRRABo1YiIaMQWPO8RPQ4sU9Opso7o6NcmmtHyjGtOKKwBsjVa7Cwsb1NlUL2aUtuf1Bl7P1y8SYZd9+3UVUSRmye7O5uZ6KqPV2WgDajPRBZ1z7Vo9FotMLAqCi9wzsQRZT9U6QfbgZB45uy//mdKfaKuGuOBhQmC6+OrVq8nKymLatGk8//zzvnhgjx49yMvLY9KkSVRWVjJ9+nSmTJmCEILLL7+crl27kpsbOsHiz4YwKfwMHK16hYNBb43hwdEP8tDoh4gxx4Q87oSmHOI/DS14B+DsP47SvaG/BgJBw/7QGUepKV3R7dfI6PkJW5u0A8xdu3oQQr3yb9XFs0kjkSpSQFmtekIfFq3dqa5cHyLNsUl9cq1AcyhSEAY1edq9agLaX65+f5trOykm9Xm14gofOdUN70cVr1BVBG8xVtI2QJ7sdW2tZEWoXVVG2yDV2OLVr6NEyARir9bTJ03twlq/rpdKPTbWuYILImUtoJExdh4f3Y2zBhxc1+vXoLW1laefflpKF3/yySdxuVw89dRTjB/fXpV/77338uijjzJ//nyefPJJNmzYwKZNm3jjjTeYNm3aEb3GYxFhUgBKS0s1axQ6/kpLS2lqalJ9AY9kvcKhYEL2BN49/V3GZah7DuhRuORTNxykUGd710kH3J+QVkHt/tA1EP1yCkOK5tXHeSgPYWEkJGinqO6xnYgWxWS6FE3tvvwI7ZTWCo1qZj2KdiX3zyCFYFE8AJtLXRVfWSHQaVQ751nUpNSsEVeYq9F4x+x2arqQFuerayXiF7+ILmgFX7U3nthUWb3W6WykIlLt3uu9J1lV7V9WJtAp6qDzqLq76G5VsOl1/F/XdP6X35l0y6H1Jf81qKqqwuVySeniJ5xwAhaLhYqKCo4/vl2DaeDAgRQWFvLhhx/y+eefM2jQIIYOHcqjjz5KZqa2mu+fGRrqYH8+pKamHtCnmJqaysaNG1VfwEOtVygoKCA/P5/HHnvsMF2xH/HWeGaNncVnJZ8xY/kMqpztOfu37cpH2XJg11bTmL+yf1/oVT5AS913IfeZjFYiayIRmtM47HTUgGYsWSDQdh1t1atXswAxTdrk1tWgXYxX4VVn+rQ32FH3jtAqXvN6dCiKDiHk93XpXOiRJ/GIFg2ZbQFGYzqtrfIqOlfZzZfIroqOuEIg6TW59VQkDCVxr9xdbUJDA58EvdeLjs0cHxWFqPe76gx7d9CpwM3OvbLFYo8bRs1eucht0ao3mNj1BkRAOrK5WWFgl54s2SVbmt9952DEyCRcLn8asE60cUfUN+TlXHFUyKADHRltganher2ewsJC4uLiSE1tr8i2/dTprbCwkMJCbZHFMPwIWwqAwWDQrFHo+DMYDJpfQDi0eoV33nmH++67D/AHyA43Tsg6gffOeI9JXSfR2R1H/nsHJiqh01MUr65YDYQjqZqqXaFrIAb0PhnREppUikJUZGdl6XC5tC2IH92pmuPeeu0gc7rQDmJXaFQza7biRNt9BKA3HpoonlatQvuJ1ZIfme41qrG6EHGFxYo6ODxyx/fYgyyIZp2L8hFdVcemblugGqvYk4I9Tk49bmtrZr9NbQ12LYlRSYO3tkJNtV8F1WSKp2feLE7Iu+6oEgJAfHz8b5su/gdFmBQOEb+mXsHhcBAZqZ0NczgRbY5m+rDpzBn+OKa0A/tz6wr/Tk3VgdNZPS51ymEgMozdQu6rTnZTU1er/boM7XG3EsmGZu2vZGWldsW2w6ndAauiVW0RODwhSCHEz0BvVE9yrR6NgrgWHSaT+linU52BlNzylUauk3Zc4YUKdXqoydNKgV3djeztrrWqMev3H+OID24rquBIU0tPLF71BkpQcFrvUhgapS5oW726PeiclnYeQ4d8TnLyaapjfgkCs4s64PV6efDBB8nNzeXbb7/l+eef54EHHgDA6XSSmZnJeeedR2RkJMcddxyTJ08+uunif0CESeEQ8WvqFTq+7AUFBezcuZMbbrgBRVF37TpccPToS/bbb5F0553ooqNV+70WG1uM+Qc8R3R8I/u3q3smdyAroy+UhyaVksjQjc3NliLN8T22E3FpBA4sAnZXaZOCVSMdtdEcqSn7Ee0OsZIN8TkYNEihRUMUDyDaFqUaq6tXT/Rmz34yNTKYtOIKP9bbccapJ+UJ9WrC+yqiBHKzVOOZTvVnWFWWgTVSvl6Xy0mZVW3ZZRTbSIqTCwHT09PJyX6M7t3uwWhU3/fhxO23386DDz7IXXfdxaBBgzjxxBNJSkpCCMG///1vhg0bxuTJkzEajXzzzTd8/PHHfPjhh0c3XfwPhjAp/Az82nqFd955h/T0dO69917KysooK9MOth4OKHo9jvPPo/OCT4g9d7LUKL3qpGtpqj+wlaDXHThrqU+GOm+9A0IRFFWXaO6LjlZwOrV7R28zDNUcz3YraGXMdrW1oLQ2qMbLQ1Qzx3i0SUFTEA/QGdQTtZYoHkCkRe3+qSjXDtn1MKmveZtFsy6O9UGNdwCGF68g0qh+v/WD1RXp0V/PwxxUi+Bx60nIVlsLS1a9iRIpX7MiFIYo7RZhVFQUEydO5JJLLiEl5fDKXGuhoaGBxx9/nJkzZ3LhhRditVpJTU3l0ksvpampCUVReOGFF3jllVeorq6m5ackgsbGduIuKChACEFMTMwRv9Y/EsKk8DPQUa9QUVGB0+lk8eLFDBqkHRjVgsPhQK/XExkZSXJyMsnJ6qrXww1DbCzJd99Nzvx3sY0ZjSc2kSJn1gFfY49toawoNClYrFFEVISoAwAqU9tobNJeUXfp2kqodKX1Hm2Xl6NZ+/gh0dqpwBU2bZKOaguVVxHCfWRQk4iWKB5ApEFdl7B/v1elGwTQWSlRjdUpgqxE9UT/VqO60ZDR08ZYe5ZqfE7aDggSv9M11ZOl8ZxqKjtjNMufodvdxh7zDtWxSeVWTj/hVK699lr69OlzRDW/vF4vU6dOxeFwkJWVRWtrqy+LKBBtbW1UVlYSGRnpyxJ0OBw4nU5fz4QwfhnCpPA7haIoh7WRh7lLFzKefZak/75MTJLarREIi2WdKusmEIN7nYI4gCRGcYg0UYDYGO0YgEex8mNziEk7RJC5j0U7WF1h0XZpaHVdg9CWgl7DUmhs0iaiSNQkKYSCyaQuMsxwaXeti9OIK/xvXxJeq7rZUGGduj5jt6GOliHqzmWJy19VechcLUaSu6gL5Jau+h9KR6tQvYJtWArJtwyk3/ABGI1HrgitA/PmzcNms7F8+XJuvPFGABYtUmtuCSHo1KmTStW4qKiIc88994hf5x8ZYVI4DLjiiitC1jhcccUVv/XlSUjo2YlJtw7kxMt740hVT0IW+wGa6PyEVKHOle+ARy8oqijR3GcwgEujoQ5AWUQhzhBV1TVV2sqsnfUh0lE1gr4AtjbtyT9UoFmnV0+CDRqieAA2d6gOfuoMpMTmhWjRU7NG32aP0LE7Tj15DyteSbRJTX5fahSXG4vXk6phlDbW90Cnl4nY43Gzy1BERP9Ekm8aSOzpuegjj15WUZ8+fZg+fTpdunThpptuQqfT8dprrwGwcOFCX+beo48+SkNDA4mJiapswWiNOFoYh44wKRwG3HvvvZq9GNasWcO9994rHWsymTSbzRxt5PRL4K93DeaES3tK5BAVswnPATTmu+YORVSFVlstT2/F6VTrCwHk5go8Hm0RvO3GYZrjJgG7KrVfk+rRFtoLVc0cEYIUQgWatWIKoUTxbE7tVXRrq1rzxyjq6GJVnyNUXOFLjcY7Rq+L42zqwqtXYzahi9doY7p7oWqspcFMSle/+1PR6egxaixdpxyP4y/dMDhCuwgPB4QQzJw5k5ycHKxWKytXrvTVFHg8Hq6++mp0Oh0LFiwgJSWFu+66i2XLlvH8888zZcoU4uPjOf3001m0aBHFxcV88803XH/99ezeffCGU2GERpgUDgO0Visdf4mJiaxZs4aFCxcydepUiouLufPOO7nxxhuprGxfdW7dupXRo0djsVjIy8vj888/PyrXrSgKXQYm8de7BjPh8l6k5FooO0ATHYCeGp20ArHDGLqzW0pKaP2k9Z4szfEst4IrRM/n2JYQ6aiKtmtLq+saaAviAeh02hN9sIgcgLVRm4jq67Rddd1NtaqxUHGF58tyNJVcC2vVVotb8bJrRGfVeMTit4h2qO+nra0PeqORXmNP4OJZz3DSNTfhSD3yQWSAadOmMXfuXJ5++mk2bNhAeno6X3zxBd988w1er5f09HSGDRtGz549cbvd3H///Zx66qmUl5cTERHBt99+S0ZGBhMnTqRHjx787W9/o6WlhaioI5sR9UdHmBSOEjZt2oTNZuPVV18lMTGRWbNmkZCQgNfrZeLEiej1epYtW8YzzzzDrbfeelSvTVEUOvdLZOLNwzntpjvJ6J2veVxkZDym/aGL4N0mwbb9JSH36/TabRC9iom1LdoTcLxTeyJXFIGpQbs4TquaGcDSqk0WoUhB0YW4V7P6eEujohKRA6io0L6vHLFNc1wrrrDbaaYhQV3INqTkB2JNalfJa53VTYcUIcj0ytXVRouezv27c+kTcym84jpik7ULB48EmpqaePTRR5kzZw6FhYXk5OSQnJxM9+7defbZZzEajdxzzz04HA4GDhxIRUUFV111FWPGjOH2228H2vsizJs3z5f4sX37dp577rkwKfxKhGUujgLy8/PxeDxMnz4daO8SNXjwYI477ji++OILNm3aRElJCenp7dk3M2bM4MQTtXsUH2lk9elHVp9+VOws5oeP3mPz0m98PZkH9zwVQnRXAyhLa8FVpu1aSklRaGvTFscrjziephAZRrp67fP1i2pEadV2U5WHqCUwhai+DhVoVkJYCl6jV0UjilCIskdRW18rje/fL8jtYkQI+T46ub4H1O1LteoVAFaaB3McsmyJwevmOFsGb7fJkiHfm/fg7dkF3QaZBBxfz8U49D4sNhN9jksnb0QqJuvhnwK0ZF0WLFjA/fffz/r169Hr9fTo0QOn0+kTrQN8KaUdLqRnnnmGhQsX4nQ6eeutt2hrayM/P/+wX28YMsKWwlFCnz6y6mVKSgrl5eVs2rSJjIwMHyEADBum7V+H9h7TiqIccf33hMxsJlz1D/7+n7mMOOd8IuMTSGg9sFthuxK6/3N2jnZcAGCbMbRLqi5EkHlwZGhl2spWbeVUY4t2FpMQIQLNISwFj16bXKKsatePxwMmk/q5xbUsxqxBRlvN2nGF12q0q+YLa7Rdcj8MDLIgFIXInl049YJOnHf/MPLHZRwRQgiFpqYmbrzxRlasWMGXX37pS2v94IMPfPG3gQMHcv755/PWW2/x5ptvcsMNN5CZmckJJ5zAmjVruPjii2lr0/4Mwzh8CFsKRwnB6XyKouD1ejXbVB7R3s8/ExHRMQydeA6Dzzib1s01NH2/D2dRtar1ZptFULxf28cPYLNtJ0T8mY1e7WwmgxCUVmiTSU+LdhZQvSUap0fbfaQPQQohvEegaP883LgwoF7RRxlDpfqmAiXytQgn3SMEa4MKr+sVQV6inR37ZWvn80oH7oR0DA1yEHVwyQ84uvWkurVWGp+bvJXBVgs6i5XoM84g5i9nY85Wy2McLZx11lnS9osvvkhOTg7Lli1j7Nh2Da7ly5f79s+cOZPhw4fz5Zd+QcBw/cHRQZgUfmPk5eVRWlrK3r17faqOTz75JNDeXtBisTBs2DAef/xxOnfu7Gsj2K9fPwDGjBnDwoULj/h16nQ6rHlxWPPi8NS10rSqnOYf9uOubF/J70lrwrNHewUdEaHQ2rpBc58XPWuaLWg1eM7w6Njr1o4DZCva1eDtvZm1SUHXrD0eKiU1VEzBRSsWDVKwK9raSm2t6mwggG7GStYSrxqPS7apSAFge8wIujW8IY3phYdxEZ14M4AUDIqBvIwB2J6ZRHr/kShHob4gFNra2pg2bRrz5s2jqqoKg8GAXq/3LXz+7//+j9TUVEaOHEl9fT1Lly7FbreTm5vLiy++yKeffkp2djYvvfQSK1as8H3/wzhyCJPCb4xx48bRrVs3LrjgAh555BHq6+uZM2cOAA899BDDhw9n3LhxDBkyhPLycr7//nsGDx7MF198Qc+ePTWF2I409NFmosZ2ImpsJ1pL62leXc6uqtC1DV27ulU+9Q5UWkdT59Se+BOdglANR1PcIdJRbbGAthtLaW7RrKUOHSUJkWbqaSIStavI7tGuVWhosGPX0EPMFltAgxS06hUAPmrtTTfeUI0XVpfzpgK943tzcs7JTMiaQJxGwduRwMFk4S+++GJKSkqwWq0MGzaMvLw85s6dy/z58zn55JM5++yz+de//sWOHTuIiYmhf//+3HHHHQwZMoQ1a9Zwzjnn4HK5aGtrQ1EU1q1bJ/VTzszMZMMG7QVHGL8MYVL4jaHT6Xj33Xe55JJLGDx4MFlZWTz11FNMmDCB1NRU8vPz6datG0uXLmXjxo0kJLTr28TFxR0VmYyDwZwRhTkjir96cyguLmbjxo1s3ryZpia/2yc+fi+tITw3O8xjIIRbydgQul4iqjlE5pHFHvJ8NGnHJ0JZCmiWmEFLWyOgbhlqa9OezCsrjZqkkNa6DBihGt/6U71CcC3f3L0Z3GCNQHEF+JxS8hmYeyof951Ip8hDa9F6tLB9+3Zee+01fvzxR3r37s1LL73EqFGjfOMAp5xyCv/97381Xz937lzmzp1LQ0MD+/erM6pA7ZYN49cjTApHAVrunUAJi65du0ql/Nu3b2fy5MnceOONXHDBBb4JtrS0lLw8tWrm7wE6nY7OnTvTuXNnTj75ZEpLS9m8eTNbtxbh8X4Y8nUbvWp56A40VGvP7la9B0N9iEwmo1mTFBQBollbaTW0paBNCqFE8axN2j+nsjJBdrZe1Ywo1rkcu0GhMagOI1RcocFtoCJpJInGVuh2EnQ/GWI6oQN+Czq46KKL+Oabb/jmm294/PHHASguLqa5uZn58+fzzDPPIITwZQyNHTsWk8lEa2vrzxKpi4yMPCrS82G0I5x99DvEqaeeSlVVFbNnz2b58uX079+eoz579mzfD+yZZ57xHf/oo4/Su3dvbDYbnTp14qqrrvIpRf4W0Ol0ZGVlMWHCBK699joGDniTLl2mEecYjU4nV8mucaqF5KA9r35XhfY9DI6uRxHa8YsKvfZX2iEi0Ozn2f5uIca1J/lQonjWeu33drvBaFLXAOjwkGfVtoYC6xVSoy38dVAnnp7Sn4jzXoUL34ehV0DMb2sZPP744wwbNozLLrvMp/prNBpZvXo1CQkJzJgxA71ez5AhQ+jevTtZWVl4PB66du3K7Nmzf9NrDyM0wpbC7wxVVVVs2rSJZ599llGjRgHg/kl2wmKx8OGHHzJq1Ciee+45zjrrLMaPH49Op+OJJ54gKyuL4uJirrrqKqZOncpTTz31W96KDzZbDjZbDhmdLsbrbaW29gdqapexs7GWxhrtibqTV0d5q/bEP8BeDdqL/pDVzPGeCEB7hR+qeE0IbUuhobkaNGLKeo9CZIydBg2FWJ2SBqitm676cr4P0kdKMBno3iWa07ITGNE5jhyNrmxHGqFiBR31BkuWLMFut2MymejWrRvJycmUlJSQnZ2NzWajrKyM2267DY/Hw4033sikSZPYsmULXbv6O8RpZd6F8dsjTAq/M8TGxhIXF8dzzz1HSkoKpaWlvlS8c845h6FDh2K1WnE4HLz//vsMHjxY6laVnZ3Nfffdx5VXXvm7IYVA6HRmHI7hOBzD6Qxs8XhZ3dDMyromVtU3s6q+if1tbpKdEEowo4cptFxGhUfb5eTwhNbxCU0K2j+P+vpKTVIAiIqI1CSFtjbtwG+O2ECeLZsB0TYGREUwONpOTkQocb3fHh31BjNnzsRgMHDSSSfxwQcf4PV6pWOcTidmsxmv18vZZ58NwJIlS6irq+Orr76id+/enHTSSb/VbYRxAIRJ4XcGnU7H66+/znXXXUevXr3o1q0bOTk5rF27FmjvJ/3EE09w7bXX8u9//5t169Yxffp0ZsyYwcaNG6mvr8ftduN0OmlqavJVh/5eYdHrGBZjZ1iMfzW8r9XFlv31rLFEsLGsji37GiitbvYFXjNDpKMCVLjVDWwgdIMdOBApaLuDmptrQa+AhiZTpEn7eTc0RhIVFYEtIhe7vTv2yDwiI/MosOdxlT4Ew/zGEELw97//nbfeeouamhpWr16tqjcITILoyAqy2WxMmjSJadOm4XK5eOqpp5g/fz6XX345cXFxDBs2zEcIM2bMYMaMGZrvP2rUKD755JMje5NhqKCIsA33u4eWKX/GGWcQExPDPffcQ3Z2Nn379qVnz558+OGHCCGor6+npqaGmJgYNm/ezKWXXsrKlSvJycnhiSeeYPz48bz77rucccYZv9l9/Rw4XR62lTeyo7KJ4Y1fEL9/MVQXQ20pNO6nI1w8oHMubV51qtPkuu6c+ZR2e9Et5/6HPRq5r7FJNZRtnqv5mr/2uhPRpI4HrO9WRVFDKbGxsTgcDuLi4oiLiyMxMY6oqNjfVWHigVBQUEB0dDQffvghNpsNi8XCFVdcwYUXXshdd93Fa6+9htVqpbW1Fa/Xy0cffUReXh7Z2dlkZGSwfft2DIaDrzmrq6uprtauTrdaraSlHR1xvjD8CFsKxzhWrlyJEIIdO3ZwxhlnsGLFCm677Tbeeecdvv76a04//XTOOOMMMjIyWL58OQ0NDdx0002/9WX/bFiMenqlRdMrLRq44Ke/n+Buhfo9eBv2cb+3jsqWSqqd1dQ4a6htraWhrYE0YjBm1uNtakY4nYjWVsRPmk4IheAcJEUBnc6ExR6JwWzGZLFijojAHGHDYo/EnOvAZLKgizShjzShjzKhjzaTZjcy4RiZ+A+Gzz77jMjISFasWMF3333HRRddxLx58+jevTsADz74IN9++y1vvfUWu3fv9qVINzQ0MHnyZG655Rbi4+PZtm0br7/+OrNnz0YfJGvucDhwONTy4mH8dgiTwjGOzp3bZZLj4+M5//zzWbJkiU8u4JtvvsFqtbJ9+3YWLlzo+9E+8MADkhBZW1vbb1IEd9hgMIMjB50jhwPKCF4obwohwOOhi1AQoj0HSVEUFL2CzidAdOqRuebfOTZv3ozT6cTpdNK1a1cyMzPJz89n9erVvPzyy3z22Wd06tSJM888k7feeotrr73Wp0s0d+5c5s2bR2FhIa2trWRmZjJhwgRNFdkwfn8If0rHOPLz8+ncuTP79u2jV69evPLKK/zrX/8CoLKyki1bttCpUyep0O2ee+4BYM6cOcTHxzN+/Hg2btzISSedhN1uJykpifPPP9/X7+GPCkVRUAwGDEY9RpMeg0mP3qgLIIRjEx2xAIfD8YvFE3Nzcxk8eDDp6emUlZWxYsUK0tPTMZvNPPfccwD8+OOPPpfmG2+8QXFxMdBeZfzOO+9QU1NDc3MzmzZtYtasWceM6+zPjrClcAzgYMVv6enpnHLKKVLM4e2338ZgMCCECPlj1Ov1LFmyhOrqasaMGcNll11GZWUlubm57N+/n7/85S989dVXh/luwjjSWLBgAS+88AILFy4kJyeH+Ph2KY233nqLe+65h23bthEREUG/fv147733sNlszJ07l5kzZ1JcXExWVhZer5eUlBT0er1vQaHT6Rg9ejQ//NDeY3ru3Lm88MILFBQU/Fa3GsYRQJgU/uDo3r07paWl7N+/n6SkdmmG+vr2fP0LL7yQbt26cffdd9O/f39mzJjB0qVLSUxMZObMmXTq1ImioiIptzyM3z+uu+46LBYLw4f7ezuXlZUxefJkZs6cyZlnnklDQwOLFi1CCMHs2bOZPn06//73v+nXrx+rV6/mnHPO0VxMpKam8tlnn6EoCrNmzWLMmDFSvUE4b+XYR5gU/uAYP348nTt35sILL2TmzJk0NDT4zPyOH/0PP/zA119/jdFoxO12S7IFS5cupaysjFtuuYW1a9ficDi48MILuf/++w8puySMo4uLLrqIbdvau7opikJmZiYlJSWUlZXhdruZOHEimZntvZ179+4NwH333ccjjzzCxIkTgfZalw63UTgI/OdDOKbwB4der2f+/Pk0NjYyaNAgLr30Ut+kYLG0F3R5vV5OPfVUvv/+e/r168c555zD0qVLWbp0KSNGjOCkk05i0KBBrF27lqeffprnn3+e+++//5Dev6CgQCquC+PIYtu2bURGRmK3232xAIC+ffty/PHH07t3b84++2xmz55NTU0NFRUV7Nq1i0suuQS73e7727lzJ85QDTDC+GNDhPGnQ35+vgDEtm3bhBBC3HHHHaJbt27C5XKJMWPGiOuvv953bMe+uro6ce6554qIiAgRFRUlTCaT6lgtHMoxYcjPKTMzU8yaNesXnyc6OlpERkaq9nm9XrF48WJx9913i969e4uEhASxbNkyAYiXX35ZbN26VfqbNm2ayMzM/OU3FcYxibD9/yfAu+++i91up0uXLmzbto2ioiJSUlJ86axXX301s2fPZvLkyTQ0NFBXV8dnn33G66+/Tk1NDcOGDeOmm25iyZIlvP/++9TW1jJp0iR++OGHcM/cw4CLLrqI9evX+57lihUrjkgluqIojBgxghEjRnD33XeTmZnJkiVLSEtLY8eOHUyZMkU6Pi7u6PRkCOP3hbD76E+AhoYGrrrqKrp3785FF11EZGQkp512mm9/amoqS5YswePxsHbtWl566SWuv/56oqPb+/y63W7mzZvHww8/zPHHH+8jE49HW7AuGG63m2uuuYaYmBji4uKYNm3aEQlIHq3+1Ycb+/bto6qqitbW9s5wCQkJRERoq8cGoqmpiQsuuAC73U5KSgqPPPJIyGOXL1/OjBkzWLlyJaWlpbzzzjtUVFTQo0cP/vnPf/Kvf/2Lxx9/nKKiItatW8fcuXPxer2UlJQcrtsM41jBb22qhPH7wvjx48U111zj277jjjtEZmamAMTOnTuFEEL85z//EZGRkaJfv34HdQ2NGjVKGI1GYbVahclkEl27dhVms1k899xz4uuvvxaA+OKLL8SAAQOE1WoVw4YNE5s3b/5F115cXCwAsXr16l/0+t8KhYWFAhBXXHGFEOLQ3UdXXnmlSE9PF5999pn48ccfxSmnnCLsdrum+2jjxo2isLBQJCQkCLPZLLp27SqefPJJ3/5XXnlF5OfnC5PJJGJjY8Xo0aPFO++8c1jvM4xjA2FSCEPCZZddJgYNGiSKi4tFRUWF2L17t7BYLAIQX331lZg/f76Ij48X06dPF/n5+QclhbS0NGEwGMRHH30kNmzYIC688EJhsVhE165dfaQwZMgQsXDhQrFhwwYxatQoMXz48F907b93Uvjf//4nevXqJSwWi3A4HOL4448XjY2NPlIYOnSoSE5OFjqdTowYMUK0tbWFPFdDQ4MwmUzi9ddf941VVVUJq9UaMqYQjJ07dwqbzRbyr2MREMafC2FSCEPCli1bxNChQ4XVahWAKC4uFh9//LFQFEUYDAaRnJwsbr31VlFVVSVsNtsBSaGxsVEoiiJGjx7tG2traxMOh0PodDrxxRdf+CyFMWPGiGuuuUacfvrpAhCJiYni2WefFY2NjeKiiy4Sdrtd5OTkiHvvvVeMGDFCREdHC4fDIU4++WRfwPz3Qgper1c8+OCDIjs7W1gsFtGnTx/x3HPPCYPBIB599FExZ84ckZGRIQwGgxg5cqQYMWKEAEReXp7YtGmTSExMFEajUTz33HMh32PNmjWS9daB/Pz8QyYFl8ulCi4H/rlcrl/9LMI49hAmhTAOCZdeeqnIzs4WX331lVi/fr0466yzRGRkpPjHP/4R8jVr164VgDj77LOl8SFDhghFUXykUF5eLsaMGSMiIyPFVVddJQBx0003CZ1OJ0488UTx3HPPiaKiInHllVcKu90uXn31VbFlyxZx/fXXi4iICKEoiujTp4/4z3/+IwAxe/bsw+qWCobH4xEXX3yxz4LS6XSiW7duPnK69dZbRWxsrIiNjRUmk0nExcUJvV4vALF06VJhNpvF9ddfLzZv3ixefvll33kuv/xyIUS7+6hv377inHPOCXkNq1evDkkKaWlp4YyvMH4xwoHmMA4Jjz76KMOGDeOUU05h3LhxjBgxgh49evhqHbQgfgomr169Whqvrq4mKirKp5jZ0Xy9b9++XHbZZQBceeWVWK1W4uPjueyyy+jSpQt33303jY2NZGdnM2/ePD799FPmzJmDEIKzzz6bG264QXqfO++8k0ceeYSVK1diMBj429/+dliexe23386bb77JpZdeyhdffMF///tfLBaLr1L4kUcewWg08t5771FUVMT8+fMZOXIkSUlJFBQUYDKZyMvLIzExkSlTppCbmwsgVRBHRUVRXh6qzVC7NpHRaGTZsmW+sZqaGoqKig7LPYbxJ8ZvzUphHJtobGwU0dHR4r///e8Bj1EURZjNZnHDDTeIzZs3ixdffFEoiiImTpzoiynU1NSIMWPGiKuuusq3Ai4uLhYZGRli5syZvvN5vV4BiBEjRghFUURERISw2WwCEB999JH4y1/+orIUOvDRRx8JQLS0tPyq+66vrxdms1nMnj1bGi8vLxeAeO211wQg9Hq95J83Go1i0KBBYtSoUSI/P99XJ7Bjxw4xduxYVaB59OjRYsyYMQe8liuuuEJkZGSIL774Qqxbt06cdtppwm63+6yEcMwgjF+CcJ1CGIeE1atXs3nzZgYPHkxdXR333nsvAKeffnrI19hsNlJTU6mtrWXLli0MGDAAl8uF2Wxm9uzZ/Pjjj9LxHRZDBxRFkcY6VtIVFRWIdtenzxo566yzVCmyffr08f2fktLeB7m8vJyMjIyfe/s+bNq0idbWVnJzczn33HNZtmwZlZWVvnaUe/e2d+uJiIjA4XAwevRoxo4dy6hRozCbzVx77bXk5uYye/ZsMjMzeffdd3/xtTz00EM0NjZy2mmnERkZyU033URdXZ1vf2pq6gHTc1NTU3/xe4fxx0WYFMI4ZDz88MNs2bIFk8nEgAEDWLRoEZs2beLEE0N3MaisrGTq1Km89tpruN1uBg0axKxZs36Rpk5VVRUAxx13HEVFRXzyySc+obdHH32UHj16MHbsWN/xWoQS2Ev4l8BqbW+dedlll5GTk8Ps2bNJTU3F6/XSq1cvUlJSMJvNPPzww0RHR/PFF19www030L9/f8aNG0dsbCyLFi2S6gTmztXu7hYKpaWl5OXlSffW2Njok0R/8cUXgfbWrR2uqTDCOFSESSGMQ0K/fv18ksmBaGlpOeBq1GKx8MQTT/DEE0+o9hUUFKiK2PLz80MWtsXGxgKwbt06TCYTCxYs4MsvvwTaLYGsrKxDvJtfji5dumCxWNi2bRtz5sxh1KhRACxevBhoJ42bb76ZO+64g0ceeYTbbruN/Px8rrnmGvbt20d5eTlVVVVcfvnlTJ06lZqaGp+AXUcfjJKSEv7xj3+EfK5hCyCMI4kwKYTxq1BRUXFAqYuNGzf+KndNIDo6d+3cuROPx8NDDz3ELbfcwooVK9ixY4fKHXUkYLFYmDp1Kvfddx+33XYb9957L5s2bZKqiR0OB6eccgr33HMPu3fvRq/XYzKZeOqppygoKODDDz/khhtu4KGHHmLw4ME89dRTqiD4Y489RmlpKXa7PeS1HM5nG0YYHVBEqGVZGGEcAtxu9wGlELKyso6IxLYQgieffJKnnnqKHTt2EBMTQ//+/bnjjjvwer2MHTuWmpoaYmJiAFizZg39+vXzNZH5NfB6vVxyySW88soruFwujEYjF154If/973959913qaio4KmnnmLr1q3o9XoGDRrEQw89RL9+/X7W+/xWzzaMPzfCpBBGGGGEEYYP4TqFMI4KOlwhof5KS0t/60sMI4wwCFsKYRwlHEuukODsnmCEfflh/JERJoUwwgjCsURgYYRxuBEmhTDCCCOMMHwIxxTCCCOMMMLwIUwKYYQRRhhh+BAmhTDCCCOMMHwIk0IYYYQRRhg+hEkhjDDCCCMMH8KkEEYYYYQRhg9hUggjjDDCCMOHMCmEEUYYYYThQ5gUwggjjDDC8CFMCmGEEUYYYfgQJoUwwggjjDB8CJNCGGGEEUYYPoRJIYwwwggjDB/CpBBGGGGEEYYPYVIII4wwwgjDhzAphBFGGGGE4UOYFMIII4wwwvAhTAphhBFGGGH4ECaFMMIII4wwfAiTQhhhhBFGGD6ESSGMMMIIIwwfwqQQRhhhhBGGD/8PaEOAGYd9RjAAAAAASUVORK5CYII=", + "text/plain": [ + "
" ] - }, + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# from https://www.codespeedy.com/compute-bigrams-frequency-in-a-string-in-python/\n", + "bigram_count = Counter(Alice_data[i:i+2] for i in range(len(Alice_data)-1))\n", + "total_count = sum(bigram_count.values())\n", + "\n", + "bigrams, bigram_freq = zip(*bigram_count.most_common())\n", + "bigram_dist = [x / total_count for x in bigram_freq]\n", + "\n", + "bigram_labels = tuple(bigram.replace(' ', '_') for bigram in bigrams) # to increase readability\n", + "plt.pie(bigram_freq, labels=bigram_labels, startangle=90)\n", + "plt.title(\"bigram frequencies\")\n", + "plt.savefig(\"bigramfreq\", transparent=True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "source": "first_letters = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', ' ']\nsecond_letters = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', ' ']\n\nbigram_data = np.zeros( (len(first_letters),len(second_letters)), dtype=float)\ncol = 0\nfor fl in first_letters:\n row = 0\n for sl in second_letters:\n bigram_data[col, row] = bigram_count[fl+sl] / total_count\n row += 1\n col += 1\n\nfig, ax = plt.subplots()\nim = ax.imshow(bigram_data)\n\nletter_labels = [x.replace(' ', '_') for x in first_letters]\n\n# Show all ticks and label them with the respective list entries\nax.set_xticks(np.arange(len(first_letters)), labels=letter_labels)\nax.set_yticks(np.arange(len(second_letters)), labels=letter_labels)\n\nplt.ylabel(\"first letter\")\nplt.xlabel(\"second letter\")\nax.set_title(\"Bigram Frequencies\")\nfig.tight_layout()\nplt.savefig(\"bigramfreq2\", transparent=True)\nplt.show()\n\n# TODO: make different-sized squares instead, like in \n# https://towardsdatascience.com/better-heatmaps-and-correlation-matrix-plots-in-python-41445d0f2bec", - "metadata": { - "trusted": true - }, - "execution_count": 54, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "", - "image/png": 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" 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iompMdTPBnj17om7duliyZAlq1aoFi8WCJk2aoKCgoNjxXl5e8CrHuV1EROS+VFUEs7OzcejQISxatAgPP/wwAGDr1q1OzoqIiFyVqopgcHAwQkNDsXjxYkRGRiIzMxOvv/66s9MiIiIXparvBDUaDb7++mvs2rULTZo0wWuvvYYZM2Y4Oy0iInJRqpoJAkCXLl1w8OBBm21CCCdlQ0RErkwRLlZhcnNzodfr0dGjv8PX8ROWcrwUFvnrY8rwqC/fKcN0uvqsoJW9oLUwyl+wWVZ1ylXj5ycVZ8nPr+BM7CB5wfeq/kwCgMaOCzYXx5KXV8GZVB7FQ/Zi3/LXOXWUSRQiFT8iJycHgYGBpY5V1eFQIiKiqqSqImgwGJCYmOjsNIiIyE2oqggSERFVJRZBIiJyW6orgiaTCS+//LK1i8Sbb77J1aFERFQpVFcEly5dCg8PD6Snp2P+/PmYM2cOPvnkE2enRURELkh15wnWrVsXc+bMgaIoiI2NxYEDBzBnzhwMHz682PFGoxHGu5aYs5USERHZS3UzwQcffBCKoljvt23bFseOHYPZXPw5P0lJSdDr9dZb3bry588REZF7UV0RdBRbKRERkSzVHQ79448/itxv2LAhtNrirxrBVkpERCRLdTPBM2fOYNSoUThy5Ai++uorLFiwAK+++qqz0yIiIhekupng4MGDcfPmTbRp0wZarRavvPIKnnvuOWenRURELkhVRTA1NdX674ULFzovESIicguqOxxKRERUVVQ1E6xImqAgaDQ6h2LMly5VUjYVT/j5ODsFu5Wr7VPm3xWYSdk03t7SsZaCwgrMpHIpPpLP0wmtlJQSFsWVRUi2UpJtFQQA4lbVt8WqalXZEqkqcCZIRERui0WQiIjcFosgERG5LRZBIiJyW6osghaLBe+//z5iYmLg5eWFevXq4Z133nF2WkRE5GJUuTp0/PjxWLJkCebMmYP27dsjKysLhw8fLnYsu0gQEZEs1RXBvLw8zJs3Dx988AGGDBkCAGjQoAHat29f7PikpCRMnjy5KlMkIiIXobrDoYcOHYLRaETnzp3tGs8uEkREJEt1M0EfH8dOAmcXCSIikqW6mWDDhg3h4+ODTZs2OTsVIiJycaqbCXp7e2PcuHEYO3YsdDod2rVrh0uXLuGvv/7CsGHDnJ0eERG5ENUVQQB466234OHhgbfffhvnzp1DZGQkXnjhBWenRURELkaVRVCj0WDChAmYMGGCs1MhIiIXpsoiWBHMV65CUTydnUbZNHJXyFdyq/5q/lAUqTDTafkVu5qAAKk4S16eXNytW1JxAKR/l87Yn+LgAjSnEhapMNluEOXpklCeDhTVhuz7TrKrBwAc/aS1Y7u6eQt4+Ue7xqpuYQwREVFVqRZF0GAwIDEx0dlpEBGRi6kWRZCIiKgysAgSEZHbUl0RzM/Px+DBg+Hv74/IyEjMmjXL2SkREZGLUl0RHDNmDFJSUvD9999jw4YNSE1Nxa5du0ocbzQakZuba3MjIiKyh6qK4PXr1/Hpp59i5syZ6Nq1K5o2bYqlS5fCbC55aW1SUhL0er31Vrdu3SrMmIiIqjNVFcETJ06goKAAbdu2tW4LCQlBbGxsiTHsIkFERLJUdWanEMLhGHaRICIiWaqaCcbExMDT0xN//PGHddvVq1dx9OhRJ2ZFRESuSlUzQX9/fwwbNgxjxoxBaGgowsPDMWHCBGg0qqrVRETkIlRVBAFgxowZuH79Onr16oWAgAD85z//QU5OjrPTIiIiF6S6Iujv74/ly5dj+fLl1m1jxoxxYkZEROSqVFcEK4q20T3Qah1bMGM+KP/doyK5OEc0byS3wwvX5OIA+c4VnpJX5S8okIoDAHHzpnRsVfOoHSkVJyQ7XpjioqTiAMD0x36pOOn3udEoFQcAl5+5XyoufFOWVJzIk+/QYr50SSpO4+cnFWe5cUMqDgAUD7kuO4pOLs6SL/+6nnrsE4fG5+ZZEGznWH7ZRkREbotFkIiI3BaLIBERuS0WQSIicluqK4JCCEyfPh3R0dHw8fFB8+bNsXLlSmenRURELkh1q0PffPNNrF69GgsXLkTDhg3x3//+F0899RRq1qyJhIQEZ6dHREQuRFVFMD8/H7Nnz8bmzZutF9GOjo7G1q1bsWjRomKLoNFohPGu5ddspURERPZSVRE8ePAgbt26ha5du9psLygoQMuWLYuNSUpKwuTJk6siPSIicjGqKoIWiwUA8Msvv6B27do2PyupU8T48eMxatQo6/3c3Fz2FCQiIruoqgjGx8fDy8sLmZmZdn//x1ZKREQkS1VFMCAgAKNHj8Zrr70Gi8WC9u3bIzc3F7///jv8/f0xZMgQZ6dIREQuRFVFEACmTp2KsLAwJCUl4eTJkwgKCkKrVq3wxhtvODs1IiJyMaorgoqiYOTIkRg5cqSzUyEiIhenupPliYiIqooihBDOTqIi5ebmQq/Xo6PnAHgojrX8EIXyLX+qmsbXVzpWmM1yceVohyNL4+0tFWe5dauCM7GDosjFOeEjqK1ZUypOtlVQeSgeki28TKYq3V95yObqLpSW9zo03mQ2ImXfe8jJyUFgYGCpYzkTJCIit6XqIiiEwHPPPYeQkBAoioK9e/c6OyUiInIhqlsYc7d169bh888/R2pqKqKjo1GjRg1np0RERC5E1UXwxIkTiIyMxEMPPeTsVIiIyAWptggOHToUS5cuBXD7tIn69esjIyPDuUkREZFLUW0RnDdvHho0aIDFixdjx44d0Gq1xY5jFwkiIpKl2oUxer0eAQEB0Gq1iIiIQM0SlnQnJSVBr9dbb7x4NhER2Uu1RdBe48ePR05OjvV25swZZ6dERETVhGoPh9qLXSSIiEhWtZ8JEhERyWIRJCIit8UiSEREbkvVRTAxMZHnBhIRUaWp9gtjSqJ466AoOodiqlMXCcVHrrsCAFiyr1RgJmXT1giVjrVcy6nATCqXUsK5rGVxRgcB4YwuG5IUnWOf4/Iq1+9DtpMIlcri61hHIIvJ/k45qp4JEhERVSYWQSIiclssgkRE5LZYBImIyG2prgjm5eVh0KBB8PPzQ2RkJObMmQODwYDExERnp0ZERC5GdUVw1KhR+N///oc1a9Zg48aNSEtLw+7du0scbzQakZuba3MjIiKyh6qKYF5eHpYuXYqZM2eic+fOaNKkCZKTk2E2l7zclV0kiIhIlqqK4MmTJ1FYWIg2bdpYt+n1esTGxpYYwy4SREQkS1UnywshANzuJF/c9uKwiwQREclS1UywQYMG8PT0xPbt263bcnNzcezYMSdmRURErkpVM8GAgAAMGTIEY8aMQUhICMLCwjBx4kRoNJois0MiIqLyUtVMEABmz56Ntm3bokePHujSpQvatWuHuLg4eHvLXyuTiIioOKorggEBAVixYgXy8/ORlZWF5557DkeOHEFMTIyzUyMiIhejqsOhALBnzx4cPnwYbdq0QU5ODqZMmQIA6N27t0OPU3BfDCwejs0ePTbtcmi8M/39abh0bGSfqu0iYb6cLR2radZYKk7sPyy9T1nO6AYhS1MjRCrOkpdXwZmUTRTIdXeR/X1og/RScQBgzr0uFyjs73rgdLJfTZWywLEsHldvOBZgNtr/2A7mUiVmzpyJI0eOQKfT4b777kNaWhpq1Kjh7LSIiMjFqK4Ivvbaa3j44Yexa1f1mZUREVH1pLrvBImIiKoKiyAREbktVRZBi8WCsWPHIiQkBBEREZg0aZKzUyIiIhekyiK4dOlS+Pn5IT09HdOnT8eUKVOwceNGZ6dFREQuRnULYwCgWbNmmDhxIgCgYcOG+OCDD7Bp0yZ07dq1yFij0Qij8f8th2UrJSIispcqZ4LNmjWzuR8ZGYmLFy8WO5atlIiISJYqi6Cnp6fNfUVRYLFYih3LVkpERCRLlYdDHcFWSkREJEuVM0EiIqKqwCJIRERuS3WHQ1NTU4ts++GHH6o8DyIicn2cCRIRkdtS3Uywonhs2QcPxbPsgRVE2zC6yvYFALUHnpYPlm1Q7Cn3epan/Y6lilsiKeVYZKXx95OKE7fsb/tyt/PPNJeKA4CI5H3SsVVN8fGRitNKtovKaybfpsznx+1ScYqH3J9ip7Tvkm2JJNuCCQAKHXyeZvvHq34maDAYkJiY6Ow0iIjIBal+Jrh69eoi5w0SERFVBNUXwZAQuUMaREREZeHhUCIicluqL4JERESVRfWHQ8vCLhJERCSr2s8E2UWCiIhkVfsiyC4SREQkq9ofDmUXCSIiklXtZ4JERESyWASJiMhtqf5waHFdJYiIiCoCZ4JEROS2FCFkLwmuTrm5udDr9TCgd5V2kSAiqlbdIFyYSRQiFT8iJycHgYGBpY7lTJCIiNxWtSiCQ4cORZ8+fZydBhERuRjVL4wBgHnz5sHFjtoSEZEKVIsiqNfrnZ0CERG5IB4OJSIit1UtZoKlYRcJIiKSVS1mgqVhFwkiIpJV7Ysgu0gQEZGsan84lF0kiIhIVrWfCRIREcliESQiIrfFIkhERG6rWhRBo9EIf39/Z6dBREQuRtULY0wmE44ePYpt27bh+eefd3Y6quIRES4dazp/oQIzqVwaPz+pOEt+fgVnoj5KORaEibvOraWKw24QlUMbHubQeGEpAC7aN1bVM8E///wTrVu3xr333osXXnjB2ekQEZGLUd1M0GAwoEWLFpg7dy5atGiBGzduODslIiJyUaqeCRIREVUmFkEiInJbqi+C69atg16vx7Jly5ydChERuRhVF8Gvv/4ajz/+OJYtW4bBgwc7Ox0iInIxqlsYc8dHH32EN954Az/++CM6duxY4ji2UiIiIlmqLIKrVq3ChQsXsHXrVrRp06bUsUlJSZg8eXIVZUZERK5ElYdDW7RogZo1ayI5ORlCiFLHspUSERHJUuVMsEGDBpg1axYMBgO0Wi0++OCDEseylRIREclSZREEgEaNGiElJQUGgwEeHh6YO3eus1MiIiIXo9oiCACxsbHYvHmzdUY4a9YsZ6dEREQuRHVFMDU11eZ+XFwcLlyoPhd8JiKi6kOVC2OIiIiqgupmghVFGxIMrUbnUIw5+0olZVMybY1QqTgRGiS9T01unlScxQkXMxdx98gF7vxTKkzxkP9IaBpFS8WZDx6ViitPOyTZ9535crb0PqucokjGlWNuYDHLx1YTHrVrScWZzp6T32lQoGPjzcbKaaVkNpuxZcsWXL161bGEysFgMCAxMbHK9kdERO7DoSKo1WrRrVs3XLt2rZLSISIiqjoOz/ubNm2KkydPVkYuREREVcrhIvjOO+9g9OjR+Pnnn5GVlYXc3FybGxERUXXh8CqARx99FADQq1cvKHd98SyEgKIoMJtd/4thIiJyDQ4XwZSUlMrIQxq7SBARkSyHi2BCQkJl5CGNXSSIiEiW1AkxaWlpeOqpp/DQQw/h7NmzAIDly5dj69atFZqcPdhFgoiIZDlcBFetWoVu3brBx8cHu3fvth6KzMvLw7vvvlvhCZbFy8sLgYGBNjciIiJ7OFwEp02bho8//hhLliyBp6endftDDz2E3bt3V2hyRERElcnhInjkyBF06NChyPbAwECeRE9ERNWKwwtjIiMjcfz4cURFRdls37p1K6Kj5a6dWJp/dpUgIiKqKA7PBJ9//nm8+uqrSE9Ph6IoOHfuHFasWIHRo0fjxRdfrIwciYiIKoXDM8GxY8ciJycHHTt2xK1bt9ChQwd4eXlh9OjRePnllysjRzmK4vhV5DVa+f1JXj1e9qr8Wkevqn4XZ3SDkKUcOiUVJyT3J0wmyUj5bhBOISRfIdnPSHXqrlCOXBUvL6m48nQEqWrmC3a2Z6hI2Q42bbAU2D1Uqm/MO++8gwkTJuDgwYOwWCyIj4+Hv7+/zEMRERE5jcOHQ5999lnk5eXB19cXrVu3Rps2beDv74/8/Hw8++yzlZEjERFRpXC4CC5duhQ3b94ssv3mzZtYtmxZhSRFRERUFew+HJqbmwshBIQQyMvLg7e3t/VnZrMZv/76K8LCwiolSSIiospg90wwKCgIISEhUBQFjRo1QnBwsPVWo0YNPPvss3jppZcc2rnBYMArr7yCxMREBAcHIzw8HIsXL0Z+fj6eeeYZBAQEoEGDBli7dq3DT4yIiKgsds8EU1JSIIRAp06dsGrVKoSEhFh/ptPpUL9+fdSqVcvhBJYuXYqxY8di+/bt+OabbzBixAj88MMP6Nu3L9544w3MmTMHTz/9NDIzM+Hr61sknl0kiIhIliKEY2ulT58+jXr16tn0ErwjMzMT9erVs/uxDAYDzGYz0tLSANw+rKrX69GvXz/r94vnz59HZGQktm3bhgcffLDIY0yaNKnYLhKdQ5+Bh0Zndy4AYL5yzaHxNqp4Cbg25h7pWPNxudMOnEHj5ycVZ8nPr+BMXIs2NKTsQcUwX82R26EzTpFw9BSpO2RPH4F7nCKheEidVFCu04+0NUIdGm+yFGBTdjJycnLKvJ60wwtjoqOjcenSpSLbs7Ozcc89jv9hbtasmfXfWq0WoaGhaNq0qXVbeHg4AODixeLPTWEXCSIikuVwSS9p4nj9+nWbxTL2uvsi3ACgKIrNtjszTovFUmy8l5cXvCT/90VERO7N7iI4atQoALeL0ttvv23z/ZzZbEZ6ejpatGhR4QkSERFVFruL4J49ewDcngkeOHAAOt3/+75Np9OhefPmGD16dMVnSEREVEkcWh0KAM888wzmzZvH5rVERFTtOfydYHJyMgDg+PHjOHHiBDp06AAfHx8IIYpdMVqa4tokZWRkFNnm4AJWIiIiuzhcBK9cuYIBAwYgJSUFiqLg2LFjiI6Oxr///W8EBQVh1qxZlZGnwyw5ubAonmUPtAmSX8atkVgUBAA3Ozcte1Ax/P66IBVXHuaOraTitCm75Xdaxf8Bkl3iDgCwyOUqCu2/4r2NcnQ9UfSSR3Kyr0jvs6opOsdOkbrD0eX4dzNlVf3nssopDp9UUG7nBzRyaLy54BbwiX1jHX42iYmJ8PT0LHLy+hNPPIF169Y5+nBERERO4/BMcMOGDVi/fj3q1Kljs71hw4Y4ffp0hSVGRERU2RyeCebn5xd7+bLLly/zfD0iIqpWHC6CHTp0sGmZpCgKLBYLZsyYgY4dO1ZockRERJXJ4cOhM2bMgMFgwM6dO1FQUICxY8fir7/+wpUrV/C///2v3AkZDAY0a9YM3t7e+OSTT6DT6fDCCy9g0qRJ5X5sIiKiuzk8E4yPj8f+/fvRpk0bdO3aFfn5+ejXrx/27NmDBg0aVEhSS5cuhZ+fH9LT0zF9+nRMmTIFGzdurJDHJiIiukPqcuARERHFdm6oKM2aNcPEiRMB3F5w88EHH2DTpk3o2rVrkbFspURERLLsKoL79++3+wHv7goh65+PERkZWWIXiaSkpEotyERE5LrsKoItWrSAoihlXrlFURSYzeXvG1ZcZ4mSukiMHz/eenFv4PZMsG7duuXOgYiIXJ9dRfDUKfU2YWUrJSIikmVXEaxfv35l50FERFTlqv4icERERCohtTq0MhXXWeKHH36o8jyIiMj1cSZIRERuS3UzwYoiTCYIB/sbloeloFAqzvs3+08/uZupQLL9DgBtzD1ygVv2ycWVo+WPKDRJx8qQbb8DAJBcGa0J9JeKM8WWYxV05mWpMMVT7vWRbhcFQBvXUG6fp85I71NWfr/WUnH+P+ySitPWq1P2oBKYTmZIxZXndynL/5xjny1Tof3jHZ4JRkdHIzs7u8j2a9euITo62tGHIyIichqHi2BGRkax5wIajUacPXu2QpIiIiKqCnYfDl2zZo313+vXr4der7feN5vN2LRpE6Kioio0OSIiospkdxHs06cPgNtXbxkyZIjNzzw9PREVFYVZs2aVOyGj0YgxY8bg66+/Rm5uLlq3bo05c+bg/vvvL/djExER3c3uw6EWiwUWiwX16tXDxYsXrfctFguMRiOOHDmCHj16lDuhsWPHYtWqVVi6dCl2796NmJgYdOvWDVeuXCn3YxMREd3N4e8ET506hRo1athsu3btWoUkk5+fj4ULF2LGjBno3r074uPjsWTJEvj4+ODTTz8tNsZoNCI3N9fmRkREZA+Hi+D777+Pb775xnp/wIABCAkJQe3atbFvn+QS+v/fiRMnUFhYiHbt2lm3eXp6ok2bNjh06FCxMUlJSdDr9dYbL55NRET2crgILlq0yFpoNm7ciN9++w3r1q1D9+7dMWbMmHIlc6dLhfKP8/uEEEW23TF+/Hjk5ORYb2fOVP25QUREVD05XASzsrKsRfDnn3/G448/jkceeQRjx47Fjh07ypVMTEwMdDodtm7dat1WWFiInTt3Ii4urtgYLy8vBAYG2tyIiIjs4XARDA4Ots621q1bhy5dugC4PVsrby9BPz8/jBgxAmPGjMG6detw8OBBDB8+HDdu3MCwYcPK9dhERET/5PBl0/r164eBAweiYcOGyM7ORvfu3QEAe/fuRUxMTLkTeu+992CxWPD0008jLy8PrVu3xvr16xEcHFzuxyYiIrqbw0Vwzpw5uOeee5CZmYnp06fD3//2dQ+zsrLw4osvljshb29vzJ8/H/Pnzy/3YxEREZXGoSJYWFiI5557Dm+99VaR64QmJiZWZF5ERESVThF3lmTaKSgoCLt371btxbJzc3Oh1+vR0etxeCieDsUKo7GSsqp42tAQ6VhzdvW58IDG21sqznLrVgVnUjaNr69UnOXGjQrOpGyyuQrJ7/3L89mS7lxhkuvsAkW+w5yiketcI0xV2y2lutH4+Tk03iQKsDn/K+Tk5JS5WNLh33bfvn3Z5JaIiFyCw98JxsTEYOrUqfj9999x3333we8fFXrkyJEVlhwREVFlcrgIfvLJJwgKCsKuXbuwa5dtI0hFUVgEiYio2nC4CJ46daoy8iAiIqpyDhfBymQwGNCkSRMAwBdffAGtVosRI0Zg6tSpJV42jYiISJZdRXDUqFGYOnUq/Pz8MGrUqFLHzp49u1wJLV26FMOGDUN6ejp27tyJ5557DvXr18fw4cOLHW80GmG8a+UZu0gQEZG97CqCe/bsQWHh7eXGu3fvLnFWVhGztbp162LOnDlQFAWxsbE4cOAA5syZU2IRTEpKwuTJk8u9XyIicj92FcF58+ZZz7VITU2tzHzw4IMP2hTTtm3bYtasWTCbzdBqtUXGjx8/3mZ2mpuby3ZKRERkF7vOE2zZsiUuX74MAIiOjkZ2dnalJuUIdpEgIiJZdhXBoKAg66rQjIwMWCyWSkvojz/+KHK/YcOGxc4CiYiIysOuw6H9+/dHQkICIiMjoSgKWrduXWJROnnyZLkSOnPmDEaNGoXnn38eu3fvxoIFCzBr1qxyPSYREVFx7CqCixcvRr9+/XD8+HGMHDkSw4cPR0BAQKUkNHjwYNy8eRNt2rSBVqvFK6+8gueee65S9kVERO7N7vMEH330UQDArl278Oqrr1ZaEfT09MTcuXOxcOHCSnl8IiKiOxw+WT45Obky8qhwwmiEUCrvu0tnq06dIMrDGd0gZDmjG4Ss6pSrKCyo4h3KdcoAAMVPbnIg8vKk9+kOLPn5jo0X9ncQke8ZQkREVM2p6rJplX0OIhER0d04EyQiIrfFIkhERG5LdUUwPz8fgwcPhr+/PyIjIzFr1iwYDAYkJiY6OzUiInIxqiuCY8aMQUpKCr7//nts2LABqampRZr33s1oNCI3N9fmRkREZA9VFcHr16/j008/xcyZM9G1a1c0bdoUS5cuhdlc8pLlpKQk6PV6640XzyYiInupqgieOHECBQUFaNu2rXVbSEgIYmNjS4wZP348cnJyrLczZ85URapEROQCVHWKhBDC4RgvLy94eXlVQjZEROTqVDUTjImJgaenp00niatXr+Lo0aNOzIqIiFyVqmaC/v7+GDZsGMaMGYPQ0FCEh4djwoQJ0GhUVauJiMhFqKoIAsCMGTNw/fp19OrVCwEBAfjPf/6DnJwcZ6dFREQuSHVTLH9/fyxfvhz5+fk4f/48xowZ4+yUiIjIRamuCBIREVUV1R0OrSja4CBoFZ1DMearV+V3qNHKhXnLrWwtfKCxVBwAaFN2S8UpHnJvF2EyScUBgLZmTak486VLcjuU/D2Wh6JRqnyfmtAQqTiLZAuv8rwHZN93muBgqTjhYNsem9ibN6VjqwttjVCpOPPlbOl95v3rQYfGmwpvASt/tGtstSiC7C5BRESVgYdDiYjIbVWrIlhQUMUdpomIyKWp+nCowWBAkyZNoNPpsGzZMtx7773YsmWLs9MiIiIXoeoiCABLly7FiBEj8L///U/qsmpEREQlUX0RjImJwfTp00v8udFohNFotN5nKyUiIrKX6r8TbN26dak/ZyslIiKSpfoi6OfnV+rP2UqJiIhkqf5waFnYSomIiGSpfiZIRERUWVgEiYjIban6cCgvl0ZERJWJM0EiInJbqp4JlktIEKB1cMFMebpICItUmOXGDak4z6u3pOIAQC5T+U4Ayv1NJfcI4Mhp+dhqQpjNcoGK/P9hFaXqO1fIkn3fCcnPliYiTCoOACznL0rFSXfZKM/vUfLiI+XpBiErr55j73Wz0f7xnAkSEZHbYhEkIiK3xSJIRERui0WQiIjclmqL4MqVK9G0aVP4+PggNDQUXbp0QX5+vrPTIiIiF6LK1aFZWVl48sknMX36dPTt2xd5eXlIS0srtpUSu0gQEZEs1RZBk8mEfv36oX79+gCApk2LX2aflJSEyZMnV2V6RETkIlR5OLR58+bo3LkzmjZtigEDBmDJkiW4WsI5fOwiQUREslRZBLVaLTZu3Ii1a9ciPj4eCxYsQGxsLE6dOlVkrJeXFwIDA21uRERE9lBlEQRuX9GiXbt2mDx5Mvbs2QOdTofvv//e2WkREZELUeV3gunp6di0aRMeeeQRhIWFIT09HZcuXUJcXJyzUyMiIheiyiIYGBiI//73v5g7dy5yc3NRv359zJo1C927d3d2akRE5EJUWQTj4uKwbt06Z6dBREQuTpVFsEJkXwEUXdXtT/aK/kKug4BSKNl5wAmOjZR/mzV+3V8uUPZ8UYv866qVXJRlzsuT22E5ci2IiZSK05y/IL1PWRpvb7lAyS4JIk/+ohzSHUEkKVqtdKx05wqN5D7L8X4tbO3YZ8R8w/4uO6pdGENERFTZWASJiMhtqboIGgwGJCYmOjsNIiJyUaougkRERJVJtUVw6NCh2LJlC+bNmwdFUaAoCjIyMpydFhERuRDVrg6dN28ejh49iiZNmmDKlCkAgJo1axYZxy4SREQkS7UzQb1eD51OB19fX0RERCAiIgLaYpYDJyUlQa/XW29169Z1QrZERFQdqbYI2otdJIiISJZqD4fay8vLC15eXs5Og4iIqiFVzwR1Oh3MVXwFBiIich+qLoJRUVFIT09HRkYGLl++DIvF4uyUiIjIhai6CI4ePRparRbx8fGoWbMmMjMznZ0SERG5EFV/J9ioUSNs27bN2WkQEZGLUvVMkIiIqDKpeiZYHuZruVAUT8eCFEV6fxo/X6k4S/4NqThxqupPBdH4yj3HmKf3SO/T7FGN3qKekrlKtuHS6iXbTAHA1r1SYRo/P6k4S758eyJNkF4uULLNkPCRX20uLl2SjpXan2w7pPIoR0skWQ1GXnRovMlSgJN2juVMkIiI3BaLIBERuS0WQSIicluqKoJRUVGYO3euzbYWLVpg0qRJTsmHiIhcm6qKIBERUVWqRkvvisdWSkREJKvazwTZSomIiGSpqghqNBoIIWy2FRYWlhrDVkpERCRLVYdDa9asiaysLOv93NxcnDp1qtQYtlIiIiJZqpoJdurUCcuXL0daWhr+/PNPDBkypNhu8kRERBVBVTPB8ePH4+TJk+jRowf0ej2mTp1a5kyQiIhIlqqKYGBgIL755hubbUOGDHFSNkRE5OpUdTiUiIioKqlqJuh0/1iZ6ghLXl4FJlI2pX5t+eBDx6TCLDfkOl64C3P2lard37Uc+WCN3Hft5ekGIct0/kKV75PUxdH3gEmUflbB3TgTJCIit8UiSEREbotFkIiI3BaLIBERuS1VFcFFixahdu3asFgsNtt79erFUyWIiKjCqaoIDhgwAJcvX0ZKSop129WrV7F+/XoMGjSo2Bij0Yjc3FybGxERkT1UVQRDQkLw6KOP4ssvv7Ru++677xASEoLOnTsXG8MuEkREJEtVRRAABg0ahFWrVll7BK5YsQL/+te/SryGKLtIEBGRLNWdLN+zZ09YLBb88ssvuP/++5GWlobZs2eXOJ5dJIiISJbqiqCPjw/69euHFStW4Pjx42jUqBHuu+8+Z6dFREQuSHVFELh9SLRnz57466+/8NRTTzk7HSIiclGq+04QuN1XMCQkBEeOHMHAgQOdnQ4REbkoVc4EtVotzp075+w0iIjIxamyCFYEbcw90GodWzBjPnqikrKpBJevOTsDu3nUlz9tRdy4JRVnvnRJep/SFEUuTrJ7icbbW25/ABRvucVk5epcQSRJGx7m0HhhKQAu2jdWlYdDiYiIqgKLIBERuS0WQSIiclssgkRE5LacXgR/+uknBAUFWTtH7N27F4qiYMyYMdYxzz//PJ588klnpUhERC7K6UWwQ4cOyMvLw549ewAAW7ZsQY0aNbBlyxbrmNTUVCQkJBQbzy4SREQky+lFUK/Xo0WLFkhNTQVwu+C99tpr2LdvH/Ly8nD+/HkcPXoUBoOh2Hh2kSAiIllOL4IAYDAYkJqaCiEE0tLS0Lt3bzRp0gRbt25FSkoKwsPD0bhx42Jj2UWCiIhkqeJkeYPBgE8//RT79u2DRqNBfHw8EhISsGXLFly9erXEQ6EAu0gQEZE8VcwE73wvOHfuXCQkJEBRFCQkJCA1NbXU7wOJiIjKQxVF8M73gl988YX1u78OHTpg9+7dpX4fSEREVB6qKIIA0LFjR5jNZmvBCw4ORnx8PGrWrIm4uDjnJkdERC5JNUVw5syZEELg3nvvtW7bu3cvLl68CEX2wsRERESlUE0RJCIiqmqqWB1aGczHT0FRPJ2dRqUxX77s7BTsZjpdjtNWqtNRAMmWSLIst+TaTAEAyhPr6srznqvi94C7MF+wsy/SnfGi0O6xnAkSEZHbYhEkIiK3xSJIRERuS1VF8NKlS4iIiMC7775r3Zaeng6dTocNGzY4MTMiInJFqloYU7NmTXz22Wfo06cPHnnkETRu3BhPPfUUXnzxRTzyyCPOTo+IiFyMqoogADz22GMYPnw4Bg0ahPvvvx/e3t547733ShxvNBphNBqt99lKiYiI7KWqw6F3zJw5EyaTCd9++y1WrFgBb2/vEseylRIREclSZRE8efIkzp07B4vFgtOnT5c6lq2UiIhIluoOhxYUFGDQoEF44okn0LhxYwwbNgwHDhxAeHh4sePZSomIiGSpbiY4YcIE5OTkYP78+Rg7dizi4uIwbNgwZ6dFREQuSFVFMDU1FXPnzsXy5csRGBgIjUaD5cuXY+vWrVi4cKGz0yMiIhejqsOhBoMBhYW213yrV68erl275pyEiIjIpalqJkhERFSVVDUTJPspHvIdMkRhQQVmUskUyf+nCXPF5uFiPOrWkYoznfm7gjOpRNWpAwmVKr//Aw6NNxXeAn780a6xnAkSEZHbYhEkIiK3xSJIRERuS1VFcNmyZQgNDbW5FigA9O/fH4MHD3ZSVkRE5KpUVQQHDBgAs9mMNWvWWLddvnwZP//8M5555hknZkZERK5IVUXQx8cHAwcORHJysnXbihUrUKdOHRgMhmJjjEYjcnNzbW5ERET2UFURBIDhw4djw4YNOHv2LAAgOTkZQ4cOhVLCcmd2kSAiIlmqK4ItW7ZE8+bNsWzZMuzevRsHDhzA0KFDSxzPLhJERCRLlSfL//vf/8acOXNw9uxZdOnSpdTZHbtIEBGRLNXNBAFg0KBBOHv2LJYsWYJnn33W2ekQEZGLUmURDAwMRP/+/eHv748+ffo4Ox0iInJRqiyCAJCVlYVBgwbxUCcREVUa1X0neOXKFWzYsAGbN2/GBx984Ox0iIjIhamuCLZq1QpXr17F+++/j9jYWGeno1rCVFj2IFdgYTeIylCtukHIEsLZGVAF8VuV7tB4k7D/76PqimBGRoazUyAiIjeh2u8EiYiIKhuLIBERuS0WQSIicluqK4IZGRlQFKXIraQLaBMREclS3cKYunXrIisry3r//Pnz6NKlCzp06FDseKPRaNN/kF0kiIjIXqorglqtFhEREQCAW7duoU+fPmjbti0mTZpU7PikpCRMnjy5CjMkIiJXoQih3pNpBg0ahL179+KPP/5AQEBAsWOKmwnWrVsXBvSGh+JZValWvRJaS9lFvb9yIqJyM4lCpOJH5OTkIDAwsNSxqpsJ3jFt2jSsW7cO27dvL7EAAuwiQURE8lRZBFetWoUpU6Zg7dq1aNCggbPTISIiF6W6Ivjnn39i8ODBGDduHO69916cP38eAKDT6RASEuLk7IiIyJWo7hSJnTt34saNG5g2bRoiIyOtt379+jk7NSIicjGqXhgjIzc3F3q9ngtjSuNav3IiIhuOLIxR3UyQiIioqqjuO8GKkrk0Hlpfb4di6s2V/z+BYpGbXSkmi1Sc9u9LUnEAYAmX+25Vk3dTKu5a6wipOAC4XkvudxL5wXapOMXHRyoOAESjelJxFp3cx9DjkvyFIfKahknFBe49LxVnuXhZKg4ANDVDpeKOjqgtFderi2Nte+52qIteOlbGxf6NpWNDP9kmFecRJfc+N2VkSsVVNs4EiYjIbbEIEhGR22IRJCIit8UiSEREbotFkIiI3Fa1Xx3KVkpERCSr2s8Ek5KSoNfrrbe6des6OyUiIqomqn0RHD9+PHJycqy3M2fOODslIiKqJqr94VC2UiIiIlnVfiZIREQki0WQiIjcFosgERG5LdV9J5iZmYn4+PgSf37w4EHUq1fyBVzvdIay3DSWOKYkJpMTLqBtlruAtrAUSMUBgMXs+GsDABqLXJyp8JZUHACYjXK/E5MolIpThFYqDgCE5OtqMZnkdii5P0D+d2KSfA9YhPz7VfZ9Z7kl9xyN1+XeOwBgKsfzlGEukP9syX5GIPt3QHZ/MvvC7X3Z0ylQdf0ETSYTMjIySvx5VFQUPDxKrt1///03T5MgIiKcOXMGderUKXWM6opgeVksFpw7dw4BAQFQ/tF4Njc3F3Xr1sWZM2fKbLRYEXHO2Cefo7r2yVzVFVedcnWH51hZ+xRCIC8vD7Vq1YJGU/rRJNUdDi0vjUZTZuUPDAx0+BdVnjhn7JPPUV37ZK7qinPGPvkcq3afer19vR25MIaIiNwWiyAREbkttyqCXl5emDhxosNXmJGNc8Y++RzVtU/mqq44Z+yTz1F9+7ybyy2MISIispdbzQSJiIjuxiJIRERui0WwFAaDAYmJic5Oo0ryEELgueeeQ0hICBRFwd69eyttXxXxfMrzGEOHDkWfPn0qfT8V+RhEVDlc7jxBkrNu3Tp8/vnnSE1NRXR0NGrUqOHslEq1evVqeHp6SsXOmzfPrsspEd1hMBjQokULzJ0719mpUAVjESQAwIkTJxAZGYmHHnrI2anYJSQkRDrW3pNoqfooKCiATqdzdhpUDbnF4dB169ahffv2CAoKQmhoKHr06IETJ07YFWsymfDyyy9bY9988027ZhEWiwXvv/8+YmJi4OXlhXr16uGdd94pMy4/Px+DBw+Gv78/IiMjMWvWLLvyBG4f0pw+fTqio6Ph4+OD5s2bY+XKlWXGDR06FK+88goyMzOhKAqioqLs2l9eXh4GDRoEPz8/REZGYs6cOXYf+rNYLBg7dixCQkIQERGBSZMm2bXPO6rqcOg/rVu3Dnq9HsuWLZOKL4nBYMArr7yCxMREBAcHIzw8HIsXL0Z+fj6eeeYZBAQEoEGDBli7dm2pjzFy5Eip19VoNGLkyJEICwuDt7c32rdvjx07dpSZ88svvyz1+Sjufe7I7/TOvkeNGoUaNWqga9eudsWtXLkSTZs2hY+PD0JDQ9GlSxfk5+eXGjN06FBs2bIF8+bNg6IoUBSl1Osb3xEVFVVk5tiiRYsyfyeLFi1C7dq1YbHYXly/V69eGDJkSLExP/30E4KCgqwxe/fuhaIoGDNmjHXM888/jyeffLJI7KVLlxAREYF3333Xui09PR06nQ4bNmwoNddly5YhNDQURqPtRbX79++PwYMHlxqbkZFhfT3vvhkMhlLjKpxwAytXrhSrVq0SR48eFXv27BE9e/YUTZs2FWazudS4hIQE4e/vL1599VVx+PBh8cUXXwhfX1+xePHiMvc5duxYERwcLD7//HNx/PhxkZaWJpYsWVJm3IgRI0SdOnXEhg0bxP79+0WPHj2sOZTljTfeEI0bNxbr1q0TJ06cEMnJycLLy0ukpqaWGnft2jUxZcoUUadOHZGVlSUuXrxY5r6EEOLf//63qF+/vvjtt9/EgQMHRN++fUVAQECZuSYkJIjAwEAxadIkcfToUbF06VKhKIrYsGGDXfu98xj2vCbFGTJkiOjdu7fD+/nqq69EQECA+OGHHxzanz25JiQkiICAADF16lRx9OhRMXXqVKHRaET37t3F4sWLxdGjR8WIESNEaGioyM/PL/ExZF/XkSNHilq1aolff/1V/PXXX2LIkCEiODhYZGdnl5qz7OejPO/zu/c9ZswYcfjwYXHo0KEyY86dOyc8PDzE7NmzxalTp8T+/fvFhx9+KPLy8kqNu3btmmjbtq0YPny4yMrKEllZWcJkMpW5v/r164s5c+bYbGvevLmYOHFiqXHZ2dlCp9OJ3377zbrtypUrQqfTifXr15eYo0ajETt37hRCCDF37lxRo0YNcf/991vHNGrUSCxcuLDY+F9++UV4enqKHTt2iLy8PBETE2PX7+LGjRtCr9eLb7/91rrt0qVLQqfTic2bN5caazKZrK9nVlaW2LNnjwgNDRVvvfVWmfutSG5RBP/p4sWLAoA4cOBAqeMSEhJEXFycsFgs1m3jxo0TcXFxpcbl5uYKLy8vu4re3fLy8oROpxNff/21dVt2drbw8fEp8w15/fp14e3tLX7//Xeb7cOGDRNPPvlkmfueM2eOqF+/vt255ubmCk9PT/Hdd99Zt127dk34+vra9Qe/ffv2Ntvuv/9+MW7cOLv3X9VF8MMPPxR6vb7MD3Zpj1HWmLtfE5PJJPz8/MTTTz9t3ZaVlSUAiG3bttn1GELY97pev35deHp6ihUrVli3FRQUiFq1aonp06eXmrPM56M87/O7992iRQu7xt6xa9cuAUBkZGQ4FHdnf46+32SLoBBC9OrVSzz77LPW+4sWLRIRERGlFt9WrVqJmTNnCiGE6NOnj3jnnXeETqcTubm51vdOaf9ZePHFF0WjRo3EoEGDRJMmTcTNmzfLzFOI2/+h6d69u/X+3LlzRXR0tM37oiw3b94UDzzwgOjRo0eZk5OK5haHQ0+cOIGBAwciOjoagYGBuOeeewDc7l1YlgcffNCmG0Xbtm1x7NgxmM3mEmMOHToEo9GIzp07O5xnQUEB2rZta90WEhKC2NjYMmMPHjyIW7duoWvXrvD397feli1bZvehX0ecPHkShYWFaNOmjXWbXq+3K1cAaNasmc39yMhIXLx4sUJzrCirVq1CYmIiNmzYgI4dO1bafu5+TbRaLUJDQ9G0aVPrtvDwcAAo9XWSeV1PnDiBwsJCtGvXzrrN09MTbdq0waFDh0qNlfl8lOd9frfWrVs7NL558+bo3LkzmjZtigEDBmDJkiW4evWqQ49RVQYNGoRVq1ZZDzOuWLEC//rXv6DVltzv0mAwIDU1FUIIpKWloXfv3mjSpAm2bt2KlJQUhIeHo3HjxiXGz5w5EyaTCd9++y1WrFgBb29vu3IdPnw4NmzYgLNnzwIAkpOTMXTo0CJdfEozbNgw5OXl4csvvyyz60NFc4si2LNnT2RnZ2PJkiVIT09Heno6gNtfplcGHx8fqThRjhWLd74L+OWXX7B3717r7eDBg3Z9L+ioO7n+841u73P458pORVGKfAeiFi1atEDNmjWRnJxcqatKi3tN7t5257Uu7XWSeV1L+1068ofMXhX1Gvr5+Tk0XqvVYuPGjVi7di3i4+OxYMECxMbG4tSpUxWSzz9pNJoiz7Ww0L7Gsj179oTFYsEvv/yCM2fOIC0tDU899VSpMQaDAWlpadi3bx80Gg3i4+ORkJCALVu2IDU1FQkJCaXGnzx5EufOnYPFYsHp06ftyhMAWrZsiebNm2PZsmXYvXs3Dhw4gKFDh9odP23aNKxbtw5r1qxBQECA3XEVxeWLYHZ2Ng4dOoQ333wTnTt3RlxcnEP/+/vjjz+K3G/YsGGp/yNr2LAhfHx8sGnTJodyjYmJgaenp80+r169iqNHj5YZGx8fDy8vL2RmZiImJsbmVhlNhhs0aABPT09s377dui03NxfHjh2r8H05W4MGDZCSkoIff/wRr7zyirPTqXAxMTHQ6XTYunWrdVthYSF27tyJuLi4UmNlPh/leZ+Xl6IoaNeuHSZPnow9e/ZAp9Ph+++/LzNOp9OVOrstTs2aNZGVlWW9n5uba3fB9fHxQb9+/bBixQp89dVXaNSoEe67775SYzp06IC8vDzMnTsXCQkJUBQFCQkJSE1NLbMIFhQUYNCgQXjiiScwbdo0DBs2DBcuXLDviQL497//jeTkZHz22Wfo0qWL3X9zVq1ahSlTpuDbb79FgwYN7N5fRXL5UySCg4MRGhqKxYsXIzIyEpmZmXj99dftjj9z5gxGjRqF559/Hrt378aCBQvKXLHp7e2NcePGYezYsdDpdGjXrh0uXbqEv/76C8OGDSsxzt/fH8OGDcOYMWMQGhqK8PBwTJgwwa7DAwEBARg9ejRee+01WCwWtG/fHrm5ufj999/h7+9f4qoyWQEBARgyZAjGjBmDkJAQhIWFYeLEidBoNJUye3C2Ro0aISUlBQaDAR4eHi51vpifnx9GjBhh/V3Wq1cP06dPx40bN0p9vwJyn4/yvM/LIz09HZs2bcIjjzyCsLAwpKen49KlS2UWeuD2Ss/09HRkZGTA398fISEhZebbqVMnfP755+jZsyeCg4Px1ltvlfqfg38aNGgQevbsib/++qvMWSBw++uIFi1a4IsvvsC8efMA3C6MAwYMQGFhYamrLidMmICcnBzMnz8f/v7+WLt2LYYNG4aff/7Z7lxHjx6NJUuW2L1y+s8//8TgwYMxbtw43HvvvTh//jyA2//hKM8pUI5y+SKo0Wjw9ddfY+TIkWjSpAliY2Mxf/58u5fhDh48GDdv3kSbNm2g1Wrxyiuv4Lnnnisz7q233oKHhwfefvttnDt3DpGRkXjhhRfKjJsxYwauX7+OXr16ISAgAP/5z3+Qk5NjV65Tp05FWFgYkpKScPLkSQQFBaFVq1Z444037Ip31OzZs/HCCy+gR48eCAwMxNixY3HmzBm7v0uobmJjY7F582YYDAZotVqHTl9Ru/feew8WiwVPP/008vLy0Lp1a6xfvx7BwcGlxsl+PsrzPpcVGBiI//73v5g7dy5yc3NRv359zJo1C927dy8zdvTo0RgyZAji4+Nx8+ZNnDp1qsxTicaPH4+TJ0+iR48e0Ov1mDp1qkOHXjt16oSQkBAcOXIEAwcOtCumY8eO2L17t/XvW3BwMOLj43Hu3LkSi31qairmzp2LlJQUa3Pa5cuXo1mzZli4cCFGjBhR5n4DAwPRv39//PLLL3affrRz507cuHED06ZNw7Rp06zb78xeqwq7SFCFyc/PR+3atTFr1qwyZxDO9OSTT0Kr1eKLL75wdirVWkVfRYVXZaneunbtiri4OMyfP9/ZqTjE5b8TpMqzZ88efPXVVzhx4gR2796NQYMGAQB69+7t5MyKZzKZcPDgQWzbtg333nuvs9MhcglXrlzB119/jc2bN+Oll16q1H1lZmbarH7/582eFf//5PKHQ6lyzZw5E0eOHIFOp8N9992HtLQ01V539M8//8RDDz2Ejh072nVomojK1qpVK1y9ehXvv/++w6e5OKpWrVqlXty/Vq1aDj8mD4cSEZHb4uFQIiJyWyyCRETktlgEiYjIbbEIEhGR22IRJCIit8UiSOSCUlNToSgKrl27VuIYRVHwww8/VFlORGrEIkhEdhk6dGiRS2Ld6Q5e2rlbRGrGIkhEqmBvmyGiisQiSFSGlStXomnTpvDx8UFoaCi6dOmC/Px868+Tk5MRFxcHb29vNG7cGB999JFN/N9//41//etfCAkJgZ+fH1q3bm3taQkACxcuRIMGDaDT6RAbG4vly5fbxCuKgk8++QR9+/aFr68vGjZsiDVr1tiM+fXXX9GoUSP4+PigY8eOyMjIcPh5nj17Fk888YS180rv3r2tjzNp0iQsXboUP/74IxRFgaIoSE1NtTaobtmyJRRFsbkwfWmvy50Z5LfffguDwQBvb29ey5Wco0r72BNVM+fOnRMeHh5i9uzZ4tSpU2L//v3iww8/FHl5eUIIIRYvXiwiIyPFqlWrxMmTJ8WqVatESEiI+Pzzz4UQQuTl5Yno6Gjx8MMPi7S0NHHs2DHxzTffiN9//10IIcTq1auFp6en+PDDD8WRI0fErFmzhFarFZs3b7bmAEDUqVNHfPnll+LYsWNi5MiRwt/fX2RnZwshhMjMzBReXl7i1VdfFYcPHxZffPGFCA8PFwDE1atXS3xuAMT3338vhBAiPz9fNGzYUDz77LNi//794uDBg2LgwIEiNjZWGI1GkZeXJx5//HHx6KOPiqysLJGVlSWMRqPYvn27ACB+++03kZWVZc2prNfl1KlTAoCIioqyjjl79myF/u6I7MEiSFSKXbt2CQAiIyOj2J/XrVtXfPnllzbbpk6dKtq2bSuEEGLRokUiICDAWhz+6aGHHhLDhw+32TZgwADx2GOPWe8DEG+++ab1/vXr14WiKGLt2rVCCCHGjx8v4uLihMVisY4ZN26cQ0Xw008/FbGxsTaPYTQahY+Pj1i/fr0QQoghQ4aI3r172zzGnWK2Z88em+1lvS534ubOnVtifkRVgRfQJipF8+bN0blzZzRt2hTdunXDI488gv/7f/8vgoODcenSJZw5cwbDhg3D8OHDrTEmkwl6vR4AsHfvXrRs2bLEJqGHDh0q0n+vXbt21qaodzRr1sz6bz8/PwQEBODixYvWx3jwwQdtmhm3bdvWoee5a9cuHD9+HAEBATbbb926hRMnTjj0WPa8Lne0bt3aoccmqmgsgkSl0Gq12LhxI37//Xds2LABCxYswIQJE5Ceng5fX18AwJIlS/DAAw8UiQMAHx+fMvdxd/ECACFEkW2enp5FYiwWi3V8eVksFtx3331YsWJFkZ/VrFnT4ccCSn9d7vDz83MwU6KKxYUxRGVQFAXt2rXD5MmTsWfPHuh0Onz//fcIDw9H7dq1cfLkScTExNjc7iwYadasGfbu3YsrV64U+9hxcXHYunWrzbbff/+9xC7gxYmPj8cff/xhs+2f98vSqlUrHDt2DGFhYUWey53Zm06ng9lstonT6XQAYLPdnteFSC1YBIlKkZ6ejnfffRc7d+5EZmYmVq9ejUuXLlmL1KRJk5CUlIR58+bh6NGjOHDgAJKTkzF79mwAt7vYR0REoE+fPvjf//6HkydPYtWqVdi2bRsAYMyYMfj888/x8ccf49ixY5g9ezZWr16N0aNH253jCy+8gBMnTmDUqFE4cuQIvvzyS3z++ecOPc9BgwahRo0a6N27N9LS0nDq1Cls2bIFr776Kv7++28AQFRUFPbv348jR47g8uXLKCwsRFhYGHx8fLBu3TpcuHABOTk5dr0uRKrh7C8lidTs4MGDolu3bqJmzZrCy8tLNGrUSCxYsMBmzIoVK0SLFi2ETqcTwcHBokOHDmL16tXWn2dkZIj+/fuLwMBA4evrK1q3bi3S09OtP//oo49EdHS08PT0FI0aNRLLli2zeXzctYDlDr1eL5KTk633f/rpJxETEyO8vLzEww8/LD777DOHFsYIIURWVpYYPHiwqFGjhvDy8hLR0dFi+PDhIicnRwghxMWLF0XXrl2Fv7+/ACBSUlKEEEIsWbJE1K1bV2g0GpGQkGDX61LSghqiqsamukRE5LZ4OJSIiNwWiyAREbktFkEiInJbLIJEROS2WASJiMhtsQgSEZHbYhEkIiK3xSJIRERui0WQiIjcFosgERG5LRZBIiJyWyyCRETktv4/UOJgUa/HH5MAAAAASUVORK5CYII=", + "text/plain": [ + "
" ] - }, - { - "cell_type": "code", - "source": "", - "metadata": {}, - "execution_count": null, - "outputs": [] + }, + "metadata": {}, + "output_type": "display_data" } - ] -} \ No newline at end of file + ], + "source": [ + "first_letters = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', ' ']\n", + "second_letters = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', ' ']\n", + "\n", + "bigram_data = np.zeros( (len(first_letters),len(second_letters)), dtype=float)\n", + "col = 0\n", + "for fl in first_letters:\n", + " row = 0\n", + " for sl in second_letters:\n", + " bigram_data[col, row] = bigram_count[fl+sl] / total_count\n", + " row += 1\n", + " col += 1\n", + "\n", + "fig, ax = plt.subplots()\n", + "im = ax.imshow(bigram_data)\n", + "\n", + "letter_labels = [x.replace(' ', '_') for x in first_letters]\n", + "\n", + "# Show all ticks and label them with the respective list entries\n", + "ax.set_xticks(np.arange(len(first_letters)), labels=letter_labels)\n", + "ax.set_yticks(np.arange(len(second_letters)), labels=letter_labels)\n", + "\n", + "plt.ylabel(\"first letter\")\n", + "plt.xlabel(\"second letter\")\n", + "ax.set_title(\"Bigram Frequencies\")\n", + "fig.tight_layout()\n", + "plt.savefig(\"bigramfreq2\", transparent=True)\n", + "plt.show()\n", + "\n", + "# TODO: make different-sized squares instead, like in \n", + "# https://towardsdatascience.com/better-heatmaps-and-correlation-matrix-plots-in-python-41445d0f2bec" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.12.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}