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Last active February 11, 2022 21:25
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# A simple coefficient of correlation between two numeric series\n",
"\n",
"This notebook models the numeric constraints expressed in the [_A new coefficient of correlation_](https://arxiv.org/abs/1909.10140) paper,\n",
"and it shows how such coefficient varies when we compare two simple data series with increasing levels of noise."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"import math\n",
"\n",
"from random import randint\n",
"from functools import reduce\n",
"from typing import Iterable, Tuple\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Given**:\n",
"\n",
"- $(X, Y)$: pair of random variables\n",
"- $(X_1, Y_1), ..., (X_n, Y_n)$: $n$ samples of $(X, Y)$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sort by $X$: $(X_{(1)}, Y_{(1)}), ..., (X_{(n)}, Y_{(n)})$ such that $X_{(i)} \\leq X_{(j)}$ $\\forall i \\leq j$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define $r_i$ as the rank of $Y_{(i)}$ as $r_i = count(j) : Y_{(j)} \\leq Y_{(i)}$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Similarly, define $l_i = count(j) : Y_{(j)} \\geq Y_{(i)}$:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then:\n",
"\n",
"$$\n",
"\\xi_n(X, Y) = 1 - \\frac{n \\sum_{i=1}^{n-1} |r_{i+1} - r_{i}|}{2 \\sum_{i=1}^{n} l_i(n-l_i)}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def corr(x: Iterable[float], y: Iterable[float]) -> float:\n",
" \"\"\"\n",
" Calculates the correlation coefficient (between 0-1)\n",
" between two numeric series X and Y.\n",
" \"\"\"\n",
" assert len(x) == len(y), 'x and y have different lengths'\n",
" data = list(zip(x, y))\n",
" n = len(data)\n",
" data = sorted(data, key=lambda d: d[0])\n",
" sorted_y = sorted(d[1] for d in data)\n",
"\n",
" # (Right) ranks of Y\n",
" r_rank_y = reduce(lambda m, i: {\n",
" **m, sorted_y[i]: m.get(sorted_y[i], i) + 1\n",
" }, range(n), {})\n",
"\n",
" r = [r_rank_y[d[1]] for d in data]\n",
"\n",
" # (Left) ranks of Y\n",
" l_rank_y = reduce(lambda m, i: {\n",
" **m, sorted_y[n-i-1]: m.get(sorted_y[n-i-1], i) + 1\n",
" }, range(n), {})\n",
"\n",
" l = [l_rank_y[d[1]] for d in data]\n",
"\n",
" num = reduce(lambda s, i: s + abs(r[i+1] - r[i]), range(n-1))\n",
" den = reduce(lambda s, i: s + l[i] * (n - l[i]), range(n))\n",
" return max(0, 1 - ((n * num) / (2 * den)))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's test this correlation score against two data series of length $n$ defined as it follows:\n",
"\n",
"$X_i = i$ (simple identity series)\n",
"\n",
"$Y_i = X_i + \\lambda \\rho_i$\n",
"\n",
"Where $\\lambda$ is the _noise level_ (between 0 and 1) and $\\rho$ is a series of random values.\n",
"\n",
"In other words, $Y$ is mapped to the elements in $X$, plus/minus a certain amount of noise calibrated by a noise level parameter.\n",
"\n",
"Let's define a simple function to generate a noisy signal from a starting data series."
]
},
{
"cell_type": "code",
"execution_count": 224,
"metadata": {},
"outputs": [],
"source": [
"def generate_noise(x: Iterable[float], level: float) -> Iterable[float]:\n",
" \"\"\"\n",
" Add noise with the specified level to an input data series.\n",
"\n",
" :param x: Input data series.\n",
" :param level: Output noise level, between 0 (no noise) and 1 (max).\n",
" :return: Noisy data series.\n",
" \"\"\"\n",
" n = len(x)\n",
" m = int(max(x) - min(x))\n",
" noise = [randint(-m, m) for _ in x]\n",
" modulated_noise = [randint(int(-i/2), int(i/2)) for i in x]\n",
" return [x_ + (level/6 * noise[i]) + (level/2 * modulated_noise[i]) for i, x_ in enumerate(x)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some utility plot function:"
]
},
{
"cell_type": "code",
"execution_count": 156,
"metadata": {},
"outputs": [],
"source": [
"def plot(x, y, corr=None, title=None):\n",
" plt.plot(y, color='C1')\n",
" plt.plot(x, color='C4')\n",
" if not title:\n",
" title = ''\n",
" if corr is not None:\n",
" title += '\\nCorrelation: {:.2f}%'.format(c * 100)\n",
" plt.title(title)\n",
" plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's now plot how the correlation score between the identity series and its noisy version vary when the noise level varies."
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [],
"source": [
"# Number of elements in the data series\n",
"n = 1000"
]
},
{
"cell_type": "code",
"execution_count": 225,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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hlIp0G6bB28Nh7FRIbQ0HN8Jr5x/TKXYUdGF65lj2F2XQOmYpg1JeJd29vewDynp7twJEZJExpnfJdB2GQSmlKmL9d3a5aQYsfB0ObqrwodnedGZ7RvNz3pkkufZwUdoTtI+dW+1NOaFo0FdKqZK2LrDNOC17+dNc0XbpLaxwwPeaKJbnDGFB1ki8xk3vBt/Qs8U8ovctrfIiV5QGfaWUKum18+wysHmluB9+BSc22ZrfjRmZYznobU3b2IUMTH6NtIYxcPWn8NmtkJ8JO5dVccGPTgdcU0qpiohy7vTXTS43m8fbkG8O3clnB/+Gl2iGpD3K0PRHSXPvsm8sNWgP138B0QmhT3Dfrqotdwl6p6+UUoGKCvzrh7ZA9j5o2dN/p+8tCnmY17hZmn0JC7NHYIzQN+ldeiR+glsK/ZkC+80U/2K44r8w6Vq7ntoGouOh2wiISaq6OgXQoK+UiiybZ0NKS0hv60/b/4sdzrjxSfBIwCgA/znDDqtw2Sv+O31fISVtzu/BjMybOOxtQfvYuQxIfp0U997S1zYBk57nHbLLtID3WW9ZYJe/fvX46lYBGvSVUpHljcF2Gdhe/0JPu7y/RKAuHkfn47Fw0RN23ev/JZBZ1ISZnhvZmN+PtKjtDOs1kzbb/1H2tU+92r/udoZYSA0I+tFVP+xCSRr0lVKqWEFW2ftczijx3iKKTAyLsy9lcdZliPjon/Q23X/Vj6h+d8Mj5QT9s+/zr498F36eDImNIKGhnQy9BmjQV0pFtkNb/Otrvwre546DIudNWV8RxsCmzM7M3Hc5md5mnBA3gwHJb5EUtR96vwju2PKvFdgxv2EH6P97u37HT5QzBmWV0qCvlIoM+Vmlx65f+w1MvNK//enNwfsDgv6hQy5mHrqPzfm9SXdvYXj6X2kVu8KfNyrm+MvmrsSxx3qpGruSUkrVljcuhs2z4Hdz/Glf321nuyqPO5ZCXyyLsn/Nks86EGXyGJA2gW6x/yNKvMF5ix/01nEa9JVS4W/zLLvcFXBnfpSAbwxsyOnLzH3DyPI15qSm6+jve4zE6CzwlQj4LXtTakyFxp2DR9js97tKVKDqaNBXSoWf3avgwEboPNSOjFksoOdNeQ4UtWJG5hi2FZxKQ/dGzk97lhayBqIAX4gDouNLpwV+CXQaCoMfP6YqVBcN+kqp8PPv0+3ywcP+B7Fg++KXo8AXx8LsK1iWPYxoyeOM9LfoGvMZLgkV6QNcNr50mgQMeNCoYwULXv006CulwsePT5UO7BUI+sbAuryBzPZcT7avIZ3jp3Ba0gQSoiowtHF0ojM7VknOnf6gO+HMuytW/hqgQV8pFR5+/hamPlI6PXCAtBDNO/sL2zA9cxw7CrvS2L2ei9KeoFnMuopfd8jTodOLW3c6D6vR3jlHo0FfKRUe3h0ROj3wTt/rH0Ih35fA/KyRrMi5mBjJ4ayUl+gc//3Rm3IC9R4T/JYtQJv+0LQrNDsFPr8V0tocQyWqnwZ9pVT9tWEaNO0GiQ1D7/cWwZL/+rdzD2KMsDbvLGZ7riPXl0LX+G85Lfld4lzOG7FxqZDeDnYuPfr13SGGTbjxG/96r9EVrUmN0aCvlKr73hsFSU1g6LP+NJ/PTl+YngG3lTEu/cxnYKb/mL3TPmV65t/ZVdiJptFrGZb+MI2jN/jz/34epLaCqY/6g35yc/DsDH3+rpdWpla1QoO+Uqru2rUCDm2Fn76w20FB32mqObgJti0KffzURwHI8yUxz3M1q3IvIM6VxTkp/6RT/DREAoY+iG8ATTrZ9eKeNx3OtYOulRX0W/c9vnrVIg36Sqm66+WBwdsHNthJSCC4J87y90IeboywOvc85nquId8k0i3ha/oOP5HYqVND5favFg+ultgYet8I7486/jrUMRr0lVL1xz972OVtyyE+zZ/uKT3b1O6Cjkz3jGVPYUeaR6/ijJRXaBS9GbougpAxPyDoF9/pJzezL3j9eSM82S44/+/nVaoqtUWDvlKq/tkyB04437+dn3lkNdeXwlzPNazOPZcE1yHOT32GjnEz/C/IBn5ZBAkI+nlO//zk5nYZF3BMv99Cr+v9TUH1jAZ9pVT9k70vuHkn7zA+42JVzoXMy7qaQhPHqQmf0SdpEjGuEhOZlzUwWuCdftYeu0xuapeugLdrBz9R+fLXIg36Sqn6Jyc46O880IDp+59iX1F7WsUsY1DKqzRwbwt9bMkhkHvfCBunwzl/8adlOzNoJTbxp13zkZ3Dtp7ToK+Uqn+y94KviGxvGnM817E272ySXPu4MO0pOsTOLjXg5RHuuOCg746HC/9eesC04jv9pICgf8J5VVqF2uI6ehallKoh2xbBg6l2ovJyeD0HWDrjABP2/Yt1eQPpmfQ/rm50CyfElRPwAc64y98zB6DTxaFHyDz7/8AVXefepq0KlbrTF5HbgZuwT0BWADcACcD7QAawCbjCGHPQyX8vMAbwArcaYyZX5vpKqXpoxj+gWXfoWOLO+f1rYM3ndn3zLDudYAjb87syfdGlHMg9SJuYnxiU8hpp7h3BmRIb+5toigVOhD7qI5jwa8g5ELqMp1xhP2HouO/0RaQlcCvQ2xhzMnak6ZHAPcD3xpiOwPfONiLSxdnfFbgIeElEokKdWykVxr7/mw24JRUHfICERnYZn34kKcvbgG8P3cEnBx+hsCiKwVelMjT94dIBP6GhHb++WLcRcNLFJfI0sMvcMoJ+GKtsm74biBeRQuwd/g7gXuAsZ/9bwDTgbmA48J4xJh/YKCLrgb7AHJRSkakgB354xDanBHI5oSmxCd4cD8uyh7Ig+wqMiaJP4nv0TPof7nkp/pEsAw19DjY4HfEvfhr6ji2dp0kXaNIVLggxKmeYO+6gb4zZLiJPA1uAXOBbY8y3ItLUGLPTybNTRIqfhLQE5gacYpuTVoqIjAPGAbRpE35takop4KEG0PAE2LcW5v4reN+7I+DPG9l6OIPp+27hkLcVGbHzGZj8Oqnu3TZPzr7Q523ZC3753q67ymhMiI6D38+umnrUM8cd9EUkHXv33g44BHwgIteUd0iINBMiDWPMeGA8QO/evUPmUUrVQ4FTFxqvDfghZHobM+vlpWzY+ltSo3YwJP1hMmIXhz5np6F2KOOkJtDlUkhsZF+eWvRm8AtcCqhc8855wEZjzF4AEfkYOB3YLSLNnbv85oDT94ltQOuA41thm4OUUpHi3/3L3V1kolmaPZxFWZfDAR/9kt6lR+KnREk50xz2HQftzwxOa9Ej+MGtOqIyXTa3AKeJSIKICHAusAb4DCgeRHo08Kmz/hkwUkRiRaQd0BGYX4nrK6Xqiqw98O6VZfeGKbb3pzJ3bcrrxcR9zzMvaxRtYxdx9Wn/o3fSR+UHfABzDJOeqEq16c8TkQ+BxUARsATbJJMETBKRMdgvhhFO/lUiMglY7eS/2RjjrWT5lVK1bfWn8PNk+PkbWDYR+t8cvN8Y2L7ItrWHcLioGTM9N7Ipvw/pUdu4JP0BWscuh1xncLV7t8OCV+0XxrKJpU8QODOWOqpK9d4xxjwAPFAiOR971x8q/6PAo5W5plKqDjm4CSZd599ObGynJCzI8ne3XPYefPJbuOK/QYcWmhgWZ/2aJdmX4hIvpye/ySkJX/rv7A9tsQ96Y5Ng4B9t/36wPXK+ujPgRDnVVr1wpMMwKKWOzaGttklFxI5vHyg2GT67FZa9a8eqmXg1dHQeps55EbA3/hvz+zEz80Y8viZ0jPuR05PfJimqRNNQzn5IbuHf7v8HiE6AXjcEB/2kptVQyfClQV8pdWyeO9ku49Ig71DwvuWTYNXHdv3LO8GbD5tm2O2t8zhU1IIZmWPYUtCTBu7NXJp2Py1jVpV9rSad/evuGDjtd8H7b/oeWvWuTG0ijgZ9pVTFeHZDTIJ/u2TAB3/ABzi40cl3mAJfHIuyL2dp9iW4pYCBya/SLeFrXHKUh7CX/DN0elJT20NHA/4x06CvlKqYf5x4zAOQGQPr805ntucGsnyN6BT/Pf2T/ktCVAW7U4YaDA3gzp+PqRzKT0fZVEqFNvsFeCIjOO3Qlgofvr+wNZ8e/BvfHr6LONdhLmtwD+emvhg64AdOeH7Nx6X3qyqjd/pKqdC+vd8ufd6yhzMIocAXz/ysK1mRM4RoyeXMlJfpEj+l/Kacky+HyfdDYXbwGPaqymnQV0qVb/Fb0CFkL+wgxsDPeWcy23MdOb40usRP4bTkCcS7PEe/RlS0fyasxMZ22f6s4y+zKpMGfaVU+b64HeJSy82yrzCD6Zlj2VnYhSbRP3Nx+mM0jV5f9gFjf4Atc2GyM7qmyw2+Qrse3wBuWwaprcs+Xh03bdNXSlme3fD0ibBrZel9eaEfvOb5EpmeeROT9j/NwaKWnJ3yIpc3uIemyfug62VlXyu5efCbuy43jJkC/X5n7/rTM46pSUlVnN7pK6WstV9B1m6Y/x+45IVysxojrMk9h7lZ15LnS+LkhMn0TZpInCvLZohLsWPkF3fhbNEDdizxn8AdF3xCEdv9UrtgVjsN+kopqyDbLmOSys22p7AD0zPHsrvwJJpHr2FQ+ngaR28KzhQVa+/YiyU3xw7PVbw/BlU7NOgrpazioB+dEHJ3ni+ZOZ5RrM49n3jXYc5LfY4T435EBj8O39wTnNkdGzz6pZRoSS6+0x/7A2yaWUUVUBWhQV+pSGcM7FphB0mD4LduAZ9xsTr3fOZ6RlFgEuie8AV9kt4n1uUMdOYKEUaiYiCpmX/7jDttb5wl70BRPkQ5x7TsVebom6p6aNBXKhJ8OAZWfgQPHgpOz8+CxW/D5HuhcSebJi47Uiawq+AkpmeOZW9RB1rGrGBQ8is0TDxk57YNdPtqeLaLfztjoP3yCJzIpEWP0PPVqhqlQV+pSLDyQ7v0+cDlNLVk74OnOvjzFE9w8t2D5LT/NXMO38JPueeS6NrHBalPc0LcLESAG2bAxh/9L2+JC1JbwuWvw/5foNMQaHRSjVVNHRsN+kpFkqxdkOIMV5y9t9Run3GxImcw8x9eRpE5g56JH9Mr8QNiXAETlcQmEzTldWyyXZ786+ort6oyGvSVCifrvgNvAXS62G4f2gI/feXfn70XJo2Gtv1h1vNBh+4o6ML0zLHsL8qgdcwSBqW8Srrbmca67QDYPMuuu+NsF8tiGuzrFQ36SoWTCU4AfvAwFBXAc92C9xcVwLb59uPI9qYz2zOan/POJMm1h4vSnqB97NyguM4NX8GDzlu57liO3On3+62+RFXPaNBXKhxsnu1/EAu27X7KX0rnC5hP1muiWJ4zhAVZI/EaN70TJ9Ez6SOipcCf/7yHoO3pweeIivHf6RtThZVQNUGDvlL13fZF8Mbg4LQ5L8DOZaXzevMB2JrfjRmZYznobU3b2IUMTH6NNPcuOPt+mPqIzXvrEmjQvvQ53LFVXAFVkzToK1WfFeTAK+eUTp/y15DZPbv2MevQnfySN4CUqF0MSXuUjLiF/gztzoCpznqogA+2X37zU+162/7HXXRVOzToK1WfZW6vUDavcbM0+xIWTkjBmN70TXqXHomf4JbC4IxNu0DXX0HHC8s+mYgN9neu07Hv6yEN+kqFuc35PZiReROHvS1oHzuXAcmvk+Iu3V3zyItUI94MfaLOw2DN5/5tDfj1kgZ9peobnxdyD0JiI1j3bZnZMouaMNNzIxvz+5EWvZthKQ/RJnZp6Yx/XAlpFRi7fsRbR97UVfWXBn2l6pupj8KMf8CffvZPQhKgyMSwOPtSFmddhoiP/klv073tOqL2hxgnHyr+YNYVpd0zw4AGfaXqgz0/2Qer7hhY84VN27c2KIsxsCm/DzM9N5LpbcYJcTMYkPwWSVH7Ib5v2efW3jgRRYO+UnVd5k54qR/0vhFOHOwP9m8NO5LlUFFzZmSOYUtBL9LdWxie/hdaxQbc2Xc4J+iFLM6+z36J7P/lqFMhqvBSqaAvImnAq8DJgAFuBNYC7wMZwCbgCmPMQSf/vcAYwAvcaoyZXJnrKxXWNkyD1qf5x8jZMg8Wvh6UpdAXy6Lsy1mSPZwoKWRA8ut0GzeGqHY/wHcPwtyXbMYz74aOF9h++jkH4MQLgyc5URGjsnPkPg98Y4zpBHQH1gD3AN8bYzoC3zvbiEgXYCTQFbgIeElEtIFQqWK7V8MPj/jHt397OHx7n3/C8IAgbQysz+vPu/teYFH25XSMm8moRrdwauLnRLmjbJNN0By0LmjVy75d23moBvwIdtx3+iKSApwBXA9gjCkACkRkOHCWk+0tYBpwNzAceM8Ykw9sFJH1QF9gzvGWQamwMuWvsH4KdDj3yJuzLHjVfuBIoD5Q1IoZmWPYVnAqDd0bOT/tWVrErLF5Og2FjEFOfp2SUJVWmTv99sBe4A0RWSIir4pIItDUGLMTwFkWd+ZtCWwNOH6bk6ZUZMk9BPvWw2sXwJtD/enR8XZ5aHPwVIOOAm8ssz3X8f6+Z9lbeAJnJI/niqsL/QEfoMe1/nFxiue6PTf027kqMlWmTd8N9AT+YIyZJyLP4zTllEFCpIUcrUlExgHjANq0aVOJIipVB712QameN4B/2sF8DyQ2PpJsDKzLG8jsZdeT7WtI5/gpnJY0gYSow5BRcm7agLv7mAT468HgYZBVxKvMnf42YJsxZp6z/SH2S2C3iDQHcJZ7AvIHvgHSCtgR6sTGmPHGmN7GmN6NGzcOlUWp+itUwAd/O3tB1pHRK/cXtuGTA48w5fCfSHAd5NcN/sw5qS+R0LIN3LwAWpwKY6b4z1FyvByXS4O+CnLcd/rGmF0islVETjLGrAXOBVY7n9HA487yU+eQz4B3ReQZoAXQEZhf+sxKhZmCHMjZX/Zbrw+mwuCn/Nv5WeTnFDI/80ZW5FxMjORwVspLdI7/Hpc4zT4JDaHxiXa9dV87Ds6BjZCeUa1VUfVfZfvp/wGYICIxwAbgBuyvh0kiMgbYAowAMMasEpFJ2C+FIuBmY4y3ktdXqu766St47yr/9i2LoNEJofN+fRcAxghrv13E7IL+5OYO4eT4yfRLnkicyxOcX0r8SE9qomPhqAqpVNA3xiwFeofYdW4Z+R8FHq3MNZWqNxa8Erz9Yi//oGYh7C1sz/TMsewq7ETT6LUMaziextEbSmdMaAjnP1zFhVWRQt/IVaq6VHBWqTxfEvM8V7My90LiXR7OSfknneKnIVLG8Xf9ou306rhp0Feq2pQf9I0RVueex1zPNeSbRE5J+Iq+SROJdeUEZ7zhG3jjIv+2BnxVCRr0laoKO5fDljnQZyx8PNZ2vwzR155l7wGwu6Aj0z1j2VPYkebRqzgj5RUaRW8Ofe62/WHsD6FnyFLqGGnQV6oq/Md5Cza9Haz80K636lMqW+5HdzHX83tW555LgusQ56c+Q8e4GWXfvKe1tcuWvaq+zCoiadBXqiptCRhVJC/zyKrPuFiVcyHzsq6m0MRxasJn9EmaRIwrN/j4Ey+Cn7+x6/du1zFyVJXToK/U8Vr0Jsx6Hsb96E+b+Yx/Pd8G/Z0FnZieOZZ9Re1pFbOMQSmv0sC9LfhcfX8Dg+6ws2IVB/3YpOA8Fz5W9mTlSlWQBn2ljtfnt9nlE21D7s7OhjmHbmVt3tkkufZyYdqTdIidU7opp99vYfATdr0wt9R5juj/+8qXWUU8DfpKlWfdd7B9IZx1j+2CuW2BbavP9zfdlHxg6zVRrMi5mPlZI/GaaHolfkivxA+JdjkjZw64zf5CKOYLeEexeNC1Bh2qqUIq0mnQV6o8E35tl2fdAys/go/GwGWvwMYfQ2bfnt+V6Z5xHChqQ5uYRQxKeY009y6Cum826RJ8UGGJLppjp/of4CpVxTToK1WWlwf61/f+bAM+2C6ZJQJ3lrchsz2jWZc3iOSo3QxOe4x2sfNtU85ty+H5U/yZ41LtMArJzSFzOxRkB1+3Zc/qqY9SaNBXqmy7VvjX/1Wi++We1QB4jZtl2UNZkH0FxkTRJ/E9eib9D7cU2Hy9boD0tpDcAjzOoLKxKfDAQVj7NUwcWTroK1WNNOgrBTD9aRuEr//SvvHqjj3qIVvzuzM98yYOeVuRETufgcmvk+reHZwpJtEux021c94ue8/f577t6bbt/qx7q7YuSpVDg75SAD84A5i9fgHsXFbuwGiZ3sbMyryBDfn9SY3awZD0h8mIXRw6c0oLu0xuBt1H2k+xuFS4tYzjlKomGvSVCrRzWZm7ikw0S7OHsyjrcgD6Jb1Dj8RPiZKi0AecfT/0uak6SqnUcdOgr1Qo3sKgzU15vZjhGUOmtzkdYmczIOUNkqP2lT6ucWfY68xZe+ZdNVBQpY6NBn0VuTbOgGbdYP13pfcdsOPYHy5qxkzPjWzK70N61DYuSX+A1rHLS+fvfhUMfdb2s38wFdxx1Vx4pY6PBn0VmfKz4K2hZe4ufHEgi7OuYkn2pbjEy+nJb3JK9yKi1ocI+Nd+Ah3O9m/fvQkkqsqLrFRV0KCvIseq/8Gen6BpF1j3bcgsxsDG/H7MzLwRj68JHeN+ZEDyWyRGHYSr9sHDjUofFBjwAeLTq6HwSlUNDfoqPBXm2THtowL+iX9wfbmHHCxqwYzMm9ha0IOG7k38Ku0+WsSs9mdw6f8uqv7Tf8UqPD3a1I6Rc1OI9voSCnxxLMoewdLsYbilgIHJr9It4WtcUmISlMCR0h48bNvuO15YxQVXqnpp0Ffha9uCcncbA+vzTme25wayfI3oFP89/ZP+S0JU2X30g/z1oE5dqOodDfoqvPz8LXx5h397x1I7xn3mzqBs+wtbM8Mzlu0F3Wjk/oUL0p6mecza0OcM/MUw+Clo5bxR63JVffmVqmYa9FX9lu+xD2h7XGv71r87Inj/+DODNgt88czPupIVOUOIllzOTHmZLvFTSjflBDr1av96v3FVWHilap4GfVW/fXMPLHnHziiVEKJnjcMY+DnvTGZ7riPHl0aX+CmcljyBeJfHn+nMe+zD2qmP2O071oBnJ7TQUS9V+NCgr+q3Je/YZV4mrPk8ZJZ9hRlMzxzLzsIuNIn+mYvTH6Np9PrSGVNaQOOTYCp2XJyUFv6xc5QKExr0VXjwFcG8l4OS8nyJzM+6ipU5FxErWZyd8iKd439AxIQ+h7ggsbFzcGboPErVcxr0Vf2y+G3YsQQWvg53/eJPn/7kkVVjhDW55zA361ryfEmcnPANfZMmEucqY9z60262XxrdLg+YurCMLwal6jkN+qp++ewP/vWDm/zrzoQnewo78GPmOPYUnkjz6DUMSh9P4+hNlGnQnXDm3eCOCU7XdnwVpiod9EUkClgIbDfGDBWRBsD7QAawCbjCGHPQyXsvMAbwArcaYyZX9voqghXlH1nN9SUz1zOK1bnnE+86zHmpz3Fi3I9H70bfsmfpgH/LIkhqXPXlVaoOqIqOxrcBawK27wG+N8Z0BL53thGRLsBIoCtwEfCS84WhVPl2r4Y3h0JBiQnEN8/CZ1yszLmQCXv/xZrc8+ie8AWjGt3CSfEVCPhgu/WU1OgE+yBXqTBUqaAvIq2AIcCrAcnDgbec9beASwPS3zPG5BtjNgLrgb6Vub6KEF//GTbNgAnBffB3Tf6QD/c/yY+Zv6VR9CaubHg7A1PeINaVE/o8nYf5108aUo0FVqruquyd/nPAn4HAN1uaGmN2AjjLJk56S2BrQL5tTlopIjJORBaKyMK9e/dWsoiq3pk3Hj7+jX/b60wyvnkmADneVL4/fAsfHXicHF8qF6Q+zfCWz9Mw2vnndd5Doc8bkwTDX4IRb/qbdETfqlWR5bjb9EVkKLDHGLNIRM6qyCEh0kJ2kTDGjAfGA/Tu3Vu7UUSSfevga2fGqcv+Y5dO273PuFiRM5j5WVdRZGLomfgxvRI/IKbvKBj6FfwyFfasKXs8nKSm0GOUXW87EJJbQMcLqrlCStUtlXmQOwC4REQuBuKAFBF5B9gtIs2NMTtFpDmwx8m/DWgdcHwrYEclrq/CxYGNdqap3Svh/Wv86ROugFGTwFvIjoIuTM8cy/6iDFrHLGFQyquku51/Pq362GWHs+1nQUBr4xVvQ5v+9iWufr/1pyc1hov+Xv11U6qOOe6gb4y5F7gXwLnTv9MYc42IPAWMBh53lp86h3wGvCsizwAtgI7A/OMuuaqfti4AV5TtNVPsn6eGzrtuMtl/yWC2ZzQ/551JkmsPg9Mep13svOCb+YKs4OOiAnrjdBlul4PuQClVPf30HwcmicgYYAswAsAYs0pEJgGrgSLgZmOMt+zTqLDh2Q3/7g/XfQavnWfTHix/+GKviWJ5zlAWZF2Jz0TRO3ESPZM+IloKSmdu1i14O75BFRVcqfBTJUHfGDMNmOas7wfOLSPfo8CjVXFNVY9smAo5+2HW86X3hegyuTW/GzMyx3LQ25q2sQsZlPwaqe5d/gxDn7Pt9nGp0P6s0tMTdhoCQ56xk5UrpYLoG7mq+hXfeefsL73vR//wCR5vQ2Z5buCXvAGkRO1iSNqjZMQtLH1Ms27QqnfZ1xOBPmMqWWilwpMGfVW9lr0Pa7+069khut9O+zte42Zp9iUszB6BMULf1rPpUfAcbikMzpvUFMZO1ZEvlaoEDfqqev0vYNKRXcv961l74fuH2JzfgxmZN3HY24L2sXMZkPw6KR36wfZGdiz7QPHpkBry1Q6lVAVp0FfVo6gAlr5T5u7MpdOZ+UNLNuZfRlrUdoalP0Sb2KX+DLevhvzD8ESG3T7vQeh6WXWWWKmIoEFfVZ1XzoWe10LGIHgh9CiVRSaGxdmXsnhiGuI7hf5Jb9M98XOipMifyfjs/LPx6XD9V3Yo5dNvqaFKKBXeNOirqrH/F9i+0H5CMAY25fdhpudGMr3NOKGdhwFZt5MUFeLhbnHfeoCMAfajlKoSGvTV8fnPGbZXznWf2G3PrjKzHipqzozMMWwp6EW6ewvD0/9Cq37DYJoT8DMG2QHVAO7fA+7Y6i27UhFMg746PjuXBW9Pe6xUlkJfLIuyL2dJ9nCipJABya/TLeErosQL01b6M7bo4Q/6GvCVqlYa9FXlLZ3oD9rYppxf8vszK/MGsnyNOSluKv2T3yYx2Q05JV7CvvAx6HMTzP5nDRdaqcikQV9VTuYOmPPikc0DRa2YkTmGbQWn0tC9kfPTnqVFjDPHzjnPwhe3+4895y/Q//d2vdFJsG9tDRZcqcikQV9VzOrPoO0ASGwYnP7VXZDYmAJfHAuyrmR5zlCiJY8zksfTNWEyLgmYaiE2JfjY4tExAX43y/baUUpVKw366uiy9sKka23Qv+GroF1mzResyxvIbM+LZPsa0jl+CqclTSAhKsSAagklvjBa9PCvR0VXQ8GVUiVp0Fd+RfmwexXEJELjk/zpxWPmbJ5l56mNjgdgf2EbpmeOY0dhVxq713NR2hM0i1lX+ryn3wq9roeCbH/aRY9DXErpvEqpaqVBX/l9fhssm2jXW58G/W+GLpfAS/38eaY9Rv6GxczPvJEVORcTIzmclfISneO/D27KOf9vsPB1OLgJOg2Fhh3A54P+t0CvG+zk40qpGqdBX/mt/86/vnWu/QSMe2+MsPaXVGavGEOuL4WT4yfTL3kicS5P6XMNuM0G+G0LoY3zpeFywYU6srZStUmDvvIL9SDVGQN/b2F7pmeOZdfuTjSNXsuw9IdpHL3Bny8qFq77FN64yJ/mivIHfKVUnaBBP9L9/C3EJkHb08FXeiKzvMlPMs8zjpW5FxLvyuSckxfSae/fESkx+YnLDW37Q3QiFGaXOo9Sqm7QoB/p3h1hl9d8DHmHjiT7jIs1uecy13MN+SaRUxK+pG/Se8Q2PAv2lZ7tiijnn9KffgJfUen9Sqk6QYN+JJt4tX999SdHVncXdGR65lj2FHWkefQqzkh5hUbRm+3OtU6XzR7XwKpP/JOS9xlrl9ojR6k6TYN+uNsyD5p0svPJFts4w/aZL57RCiA/i1xfCnM817Am93wSXAc4P/UZOsbNQCTEeU/7PVzyImydDy1OhaiY6q6JUqoKaNAPZwXZ8PoFdvLwk4aAOwZ6joa3hgZl8xkXq+bnMi/rXxSaOE5N+IQ+SZOIceX6M500BNZPAW+B3W7cyc5Fqw9qlapXNOiHs3ynK+WGafYDcHh7UJadBZ2YnjmWfUXtaRWzjEEpr9LAva30uU7/g/+XwYi3bM8cpVS9o0E/nOVllk5zXr7K9qYxx3Mda/POJsm1lwvTnqRD7JzQTTlge+YkNYOsXfZlK6VUvaRBPxxtng0L34AG7Urt8h7awYqcYczPGonXRNMr8UN6JX5ItCv/6Oe98RvYsdjfU0cpVe/o/73hpjAP3hgcctf2/K5M94zjQFEb2sQsYlDKa6S5dwZn+usB+FuD4LQRb9plg3Yhv0iUUvWHBv1w4PPBjH9Az+tg+lOldmd5GzLbM5p1eYNIjtrNxWl/JyN2QeimHFcU3Lvdvok7/Uk44Tzo+qvqr4NSqkZo0A8He1bB1Efsp90ZR5K9xs2y7GEsyB6BMS76JE2kZ+InuKWg/PPFJsE599mPUiqsHHfQF5HWwNtAM8AHjDfGPC8iDYD3gQxgE3CFMeagc8y9wBjAC9xqjJlcqdIr2LEEPLsDEuzt+5b87szIHMshb0syYuczKPk1Utx7aqeMSqk6ozJ3+kXAn4wxi0UkGVgkIlOA64HvjTGPi8g9wD3A3SLSBRgJdAVaAN+JyInGmNIDvqiKMQbGnxWUlJkTz6yDf2ZDfn9So3YwJP1hMmIXl3+ezsNgzefVV06lVJ1x3EHfGLMT2Omse0RkDdASGA6c5WR7C5gG3O2kv2eMyQc2ish6oC8w53jLEHF2r4INP9p5ZbcthB+fOLKryESzNHs4i3ZfAcZHv6R36JH4KVFSgXFwzrgLBvzRP1mKUipsVUmbvohkAD2AeUBT5wsBY8xOEWniZGsJzA04bJuTFup844BxAG3atKmKIoaHf59ul31ugi/+CLtWALAprxczPGPI9DanQ8pyBsS+QHLUvrLP07w7DHkWJv8fnHAuNDuFsjvoK6XCSaWDvogkAR8BfzTGZErZwSPUjhDDNYIxZjwwHqB3794h80QUY+wctcVy9kNaWw5v28tMz41syu9DetQ2Lkl/gNaxy/35Og2FHteCNx/i0uwYOWu+gFOvtkF+jD5SUSrSVCroi0g0NuBPMMZ87CTvFpHmzl1+c6D46eE2oHXA4a2AHZW5fljy7Iat8yBzB5z2W5uWsz+ozb3wH6ewOPoOluy7Fpd4OT35TU5J+DK4KWfcjzbIl9RjVPWWXylVp1Wm944ArwFrjDHPBOz6DBgNPO4sPw1If1dEnsE+yO0IzD/e64ell0633S+L9b4BPLuOTChuDGzM78fMzBvx+JrQMe5HBozqS2K7v8DGM+HLO/zHhgr4SqmIV5k7/QHAtcAKEVnqpP0fNthPEpExwBZgBIAxZpWITAJWY3v+3Kw9dwJsWxgc8AEeaXJk9WBRC2Zk3sTWgh40dG/iV2n30aJNFPR5yGaISQoO+kopFUJleu/MJHQ7PcC5ZRzzKKAzYwc6tAWe61bm7gJfHIuyR7A0exhuKWBg56V0O/AwLvFBTH9/xpTmcMqVsPx9yBhUAwVXStVHrtouQMTbuSxksjGwLncA7+57gcXZl3Fi/HRGNbqZ7mOvtwEfIL7EGDk9R9vl4CerscBKqfpMh2GobRtnlEraX9iaGZ6xbC/oRiP3L1yY9jTNY9banQkN7CxV3oLSUxNmDIAHD9dAoZVS9ZUG/Zo099/Qpj8kNoLoBPuAdv5/juwu8MUzP2sky3OGECM5nJnyMl3ip/jv7O/eFHy+9mfXXNmVUmFBg351KsiGSaPh5Mug+1XwzT3B+53RK42Bn/POZLbnOnJ8aXSJn8JpyROId3mC88c689z+YRFk74MWPWqgEkqpcKJBvzpNf8rOK7t+Cnz3UOn9q/7HvsIMpmeOZWdhF5pE/8zF6Y/RNHq9P09yc/A4Y967nEcwaW3sRymljpEG/ark2W2nE3THAQJFAUMYZ+0KyprnS2R+1lWszLmIWMni7JQX6Rz/AyIlXkD+00/wYGr1l10pFRE06FellwdCdsDwxZ0vKZXFGGFN7jnMzbqWPF8SJyd8Q9+kicS5sss+761LIPdgNRRYKRVpNOhXlV+mBgd8gDWfBW3uKezAj5nj2FN4Is2j1zAofTyNozcd/dwN2lddOZVSEU2DfmWt+w4m/LrcLLm+ZOZ6RrE693ziXYc5L/U5Toz7seyBLf+80S59FRgWWSmljoEG/cpa9m6Zu3zGxerc85nrGUWBSaB7wuf0TXqfGFdu6cwnnA+bZsBlr9i++EopVQ006B+Pgmz4ewu45AWQ0C817yo4iemZY9lb1IGWMSsYlPwKDaO3ln3Oke+CO6aaCqyUUpYG/eNxaItdfv+3Ui9I5XhTmZP/W37KPI1E1z4uSH2aE+JmlW7KERfc9B2ktILtCzXgK6VqhAb9iirItpOQZwz095vPOwwrJgG2KWdFzmDmZ11FkYml5xkp9PrpKmJcef5zDLwdZj4L8enBb9d2GlJz9VBKRTQN+uWZ/4od56bXaPjsVlj5oU0/1ZmIxGv74e8o6ML0zLHsL8qgdcwSBjV6n/Sr5sFDTsC/+gOISYRm3WzQP/GiWqiMUkpp0C/fV3fa5eZZsGmmP33pBACyvenM9ozm57wzSXLtYXDa47SLnYe44u10hCcNsXPQnniB/9hbFkFa4ARiSilVczToh7LyY9g827+9/P2g3V4TxfKcoSzIuhKfiaJ34iR6Jn1EtDhv4Dq/ALgqRM+eRidUU6GVUuroNOiH8uENZe7amt+NGZljOehtTUbsAgY2+4LU/OXBmXRCMKVUHaVBv6S80OPRe7wNmeW5gV/yBpAStYshaY+SEbcQUjrD3houo1JKHScN+iVNezxo02vcLMkezqLsy8EI/ZImcGrip7il0GbYuwZikqEgYBhknblKKVVHRWbQNwbWfuX0onE60BcPW3zY/wLV5vyezMgcw2FvC9rHzmVAyuuktGkD2wuDz/enn8BXCE9k2HP2+02NVEMppY5VZAV9byFsnQ9Zu227/el/gNkvQKOT4Jb5dijkrQvILGrCTM+NbMzvR1rUdoalP0Sb2KX2HBdPgtgUOyHK+inQ7gyITbL77vrFds1USqk6KrKC/rTHYcbTR2asYvYLdrlvLez5iaJ/DWJx9qUszroMER/9k96me+LnREnAwGcte9rl1ZOgICt4ntrERjVTD6WUOk6RFfT3/WyXq/4XlGwMbHrmFmZ6nifT24wT4mYwIPktkqL2+zOlZ0BBjn/b5So9MblSStVxkRX03bGlkg4VNWdG5hi2FPQi3b2F4el/oVXsyuBMw1+C7iNrqJBKKVV9wjvof30P/PQl3PCVfaM2yh/0C32xLMq+nCXZw4mSQgYkv063hK+IkhB97LuNAFdUDRZcKaWqR3gH/Xn/tsuJI2H3Sjj5coyBX/L7MyvzBrJ8jTkpbir9k98mMeqQ/7jEJv5ZsLpfpSNgKqXCRngH/WKHtwFw4KCLGQcfYFvBqTR0b+T8tGdpEbMmOO99u2wj/9+b2+0hz9RwYZVSqvrUeNAXkYuA54Eo4FVjzONHOaTSCnLyWJA1muW7hhIteZyRPJ6uCZNxic9mSGsLhzbb9eh4uzznfuh4AcQkVHfxlFKqxtRo0BeRKOBfwPnANmCBiHxmjFldHdczBtblDWKW53pyfA3oHD+F/snvEO/KDM449Fl45zLodoU/7Yy7qqNISilVq2r6Tr8vsN4YswFARN4DhgNVHvT3r1rD9AOPsKOwK43d6xmc9jjNYtaFzuyOhfv3gCu6qouhlFJ1Sk0H/ZZA4ESx24B+JTOJyDhgHECbNm2O+SI+r48vX9tEQVEbzkp5ic7x39umnMFPQnJzmHQtND8Vel4HKz6EFj1DdudUSqlwU9NBv+RMsQCmVIIx44HxAL179y61/2hcUS4u7L2E1J9eIs4VMBBav9/Apll23R0HfcbYj1JKRYiaDvrbgMBpo1oBO6rjQk3jt0BgwC+W3tYuT7mi9D6llApzNR30FwAdRaQdsB0YCVxdLVfy7AqdntrKdst0x1XLZZVSqi6r0aBvjCkSkVuAydgum68bY1ZVy8WcvvlHDPqTf724W6ZSSkWYGu+nb4z5Cviq2i906Uvw2vl2/c8bIT692i+plFJ1Xfi+kdu6r32btnl3SGhQ26VRSqk6IXyDPmjPHKWUKsFV2wVQSilVczToK6VUBNGgr5RSEUSDvlJKRRAN+kopFUE06CulVATRoK+UUhFEg75SSkUQMeaYRy6uUSKyF9h8nIc3AvZVYXHqA61zZNA6R4bK1LmtMaZxycQ6H/QrQ0QWGmN613Y5apLWOTJonSNDddRZm3eUUiqCaNBXSqkIEu5Bf3xtF6AWaJ0jg9Y5MlR5ncO6TV8ppVSwcL/TV0opFUCDvlJKRZCwDPoicpGIrBWR9SJyT22Xp6qISGsRmSoia0RklYjc5qQ3EJEpIrLOWaYHHHOv83dYKyIX1l7pK0dEokRkiYh84WyHdZ1FJE1EPhSRn5z/3v0joM63O/+uV4rIRBGJC7c6i8jrIrJHRFYGpB1zHUWkl4iscPb9U0SkwoUwxoTVBzvh+i9AeyAGWAZ0qe1yVVHdmgM9nfVk4GegC/AkcI+Tfg/whLPexal/LNDO+btE1XY9jrPudwDvAl8422FdZ+At4CZnPQZIC+c6Ay2BjUC8sz0JuD7c6gycAfQEVgakHXMdgflAf0CAr4HBFS1DON7p9wXWG2M2GGMKgPeA4bVcpiphjNlpjFnsrHuANdj/WYZjgwTO8lJnfTjwnjEm3xizEViP/fvUKyLSChgCvBqQHLZ1FpEUbHB4DcAYU2CMOUQY19nhBuJFxA0kADsIszobY6YDB0okH1MdRaQ5kGKMmWPsN8DbAcccVTgG/ZbA1oDtbU5aWBGRDKAHMA9oaozZCfaLAWjiZAuXv8VzwJ8BX0BaONe5PbAXeMNp0npVRBIJ4zobY7YDTwNbgJ3AYWPMt4RxnQMcax1bOusl0yskHIN+qLatsOqXKiJJwEfAH40xmeVlDZFWr/4WIjIU2GOMWVTRQ0Kk1as6Y+94ewL/Nsb0ALKxP/vLUu/r7LRjD8c2Y7QAEkXkmvIOCZFWr+pcAWXVsVJ1D8egvw1oHbDdCvszMSyISDQ24E8wxnzsJO92fvLhLPc46eHwtxgAXCIim7BNdeeIyDuEd523AduMMfOc7Q+xXwLhXOfzgI3GmL3GmELgY+B0wrvOxY61jtuc9ZLpFRKOQX8B0FFE2olIDDAS+KyWy1QlnCf0rwFrjDHPBOz6DBjtrI8GPg1IHykisSLSDuiIfQBUbxhj7jXGtDLGZGD/W/5gjLmG8K7zLmCriJzkJJ0LrCaM64xt1jlNRBKcf+fnYp9ZhXOdix1THZ0mII+InOb8ra4LOOboavtpdjU9Ib8Y27PlF+C+2i5PFdZrIPZn3HJgqfO5GGgIfA+sc5YNAo65z/k7rOUYnvDXxQ9wFv7eO2FdZ+BUYKHz3/oTID0C6vwQ8BOwEvgvttdKWNUZmIh9ZlGIvWMfczx1BHo7f6dfgBdxRleoyEeHYVBKqQgSjs07SimlyqBBXymlIogGfaWUiiAa9JVSKoJo0FdKqQiiQV8ppSKIBn2llIog/w+FQHe6ZMQoZQAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bN0CoLrqta+Rn3AvP/BjmTInUffN20/qhKZuKoigtQNgz6eqbt+y2oNhu/RO2jPNVULkyegvw+u+a1o9mGkhWo68oSm4RDsHM+6ChNrp82Ux4dGzymbT+emMgv8jux8zSdTx9VxjNhGPrMkU9fUVRlBT47El45Up4/2/R5c//FL59GzZ8l/h8v9FvqIGCdnZ/w5LoOtfIu165dzygqajRVxRFSYGajc52s6/ClS9O4oGHfUa/rhq2fG/3HzouktIJ1uhXr4f6aufYW5dGn4NopoFcTdlUFCW3cL1vv0JlquvQ+gdrK2ZGH/++i+deBv4yMHLsfSFsr+EdEXlQRFaLyFxPWRcReV1Evna2nT1114jIIhFZICLHesqHi8gXTt2dIi24ErCiKG0H1/DGW4Bk7UL4+o3I8aovI8er58eGd6rWxL+X8YVzTMie//7fEqt0pkIrhnceBo7zlV0NvGmMGQS86RwjInsA44Ahzjl3iTQOQd8NTAQGOT//NRVFUZqOP87uZ8oEeOIHkePJ4+zxl9PgrgNg5qTo9nVV8e+1en70cTgEsx+CN26A9d+k3fUoWitP3xjzLrDeVzwGeMTZfwQY6ymfYoypNcYsBhYBI0VkR6DcGPOhMcYAj3rOURRFaTqrvoR7Do7E9GM8/TjBhY3OwO7Sj+y2YlZ0fSKj/8BR0ccmHDvYmwEhk8+Kqj5Nvk4QmX4/9DTGrAAwxqwQkR5OeW/gI0+7Cqes3tn3lwciIhOxXwX069cvwy4qitKmmP5HWPlF8vBOPOK194dwEvHBnend00fY5PF1zSHMrDyLytU9+NGGWso6Fzfpmn6ynb0T9Co1CcoDMcZMMsaMMMaM6N69e9Y6pyhKDlNUZrdu1k5evl2jtr4GVs6FdV8nPj8bRj9DjBG+qTmAKev+xhubfkGh1HD8kDco7VSU9Xtl6umvEpEdHS9/R2C1U14B9PW06wN875T3CShXFEXJDoXt7bZui91uWQmTDodhEyJlfjYui+zHyy2JysjJLsbAd3X7MmPLBNY27Ezn/AqO7XQrOxd/iPQYk3rGURpk6um/CJzr7J8LTPOUjxORYhEZiB2wnemEgraIyAFO1s45nnMURVES01Br9W+q1gXXz7wPZj9g92sdA19XabfLZ0NeYfB5fx8a2Y838NtMnn5F7VCeW/9H/r3h/6gzpYzueAfjul3OLu0+QMREJoRlmaSevohMBg4HuolIBXA9cAswVUTOB5YCZwAYY+aJyFTgS6ABuNiYxtkKP8dmApUA/3F+iqIoyZn3Asy636ZBjr0rtv6VKyP7jXn6jnkzBvLjGH0v8Yx7lo3+yrpd+ajybJbX7UVp3loOK7+bwSVvkS8N0Q0Lsh/agRSMvjFmfJyq0XHa3wzcHFA+Gxgae4aiKEqKxOTQr7Nx+yAaUx5NfE/fi1+rx8VkJ7yzpn4gMyon8F3tCEryNnFwhwcY0v5VCiSOFlBrefqKoiitTqOgmc8A37pT/HO8nn4qOe+hOEa/iTH99Q19mLllPN/UHkSxVHJA2WPs2f4VivJqYP+fw4y7g0/MbyVPX1EUpdVxBzTTCbV8/HDknKDwzl0HRh831MW2SfeeHjY17MCsyjNZWHMoBVLHiNKp7F06jeI8R6dnzzPhmJviG/2C7KZqNl62Wa6qKIqSTQKli1MlTnhn9ZfRx/E8/WRSzD62hLoyu/IMvto6mjxC7F36IvuUPk9Jni+DqENPyE9ggjW8oyhKTlFbCWsWQJ/hydu64RnX6G9ZCQ+fmNp9ajZFr4YVj3gxfb/qZhyqQx35uOoHzK22CjND2r/K8NJnKc3fEHxCssljGt5RFCWneOYn8PWrcPUyaFeeuG2jp+/M6fzoLli3KLX7bN0As+5L3s6vrumycm5wuUNNuIxPq07l8+oTCJlCdi95ixFlT1Oen0CoDYgrC+Gi4R1FUXIKV+MmnrH14g/v/O+O7Pcnnqe/fHZk/9ffwK07A1AXLuGz6pOZU3UKdaaEQe3eY2TZU3QqWJHa/ZJ6+ilkHGWAGn1FUVqWzSuguCy9c5oU00+ReEbfS2k36sPFfFF9PJ9UnUat6cBOxR8xsmwyXQuXpne/ZLNtU0kzzQA1+oqiNC9v/wneuQVu2GSPb98dOg/wNEhBaqAljH68gVy32hQw7+1lzF57N1vDnelX9An7d3iSHoUZSign8/SbSU9fjb6iKM3LO7fYbV0VFJXa/Q1LoMRdgSpAe3HTcusJl/eCew+DFZ85TZvT0w8OM4VMPgu2HsGsyjOpfOprehUu57hOt9KraH5g+5Rxjf5Zj8NTP4yt1/COoijbHDWbbWZM+y7x27TrZDXuNy2H7rvG1q9ZAKXdIsd1VfC3Pez+DZsiBh9g0RvZXXzci8/TtzLHBzOr8iw2hXrRo3AhR156NH2mnJolHTTnIjvsGVzdWouoKIqixOW23aPXiA2izFluo3KVr8Lx8B8+AbZujBT/5zeJr9fQxGUI4163xvbKwDc1B/DUur/xxqYrKJBaTuh0M6d3uYq+g7vEN/iH/jq1++wx1m5dTz9emCfd9QBSRD19RVHSZ903UFgC9QlWlWrEnU2bQM5gxWew0+F2f8vKxJerq07hnuljNizlu7p9mbllAmsadqZTfgXHdLyVXdp9aFUvk9Gpf2o36rqL3Ta+PeK8ReKpfjYRNfqKoqTPP/ZN/xxj4h97Z70mM3bxtPGbQEXtUGZUTmBl/WDK81cyuuMd7NruXfIkjVBSSjF4ofELxzX66ukripJbOEYu0SDsE6dDSWe4akl0LDsUMJN2+SdZ69nKul2ZUTmBirphiWWOUyFRtk1JF9i63hr6xoXbA8I7O4+Gb96MLc8iavQVRUmNDUuguDx40Pbbd2CnwyLHi9+F/gdDnsdw+T19P1sduQKv0Q+ST9i8POUuxyNtmeNUSOTpDzwUvnzBGvLGl5/r6XvCO6P/L2L0dSBXUZRW5Y5hcNtuwXWPnmKzbgC++jc8cnJkJSuTgqfvxRveCRoHSFMAzcv6hj78d8OvmbrudlbW7c4BZY/xw24/Y1jpy00z+JB4MlXjC0Eif48gT7+kM+xyVGx5FlFPX1GU1EkkmRCqt7nuUybY443uDFWP0Y9Kt4zj+Sfz9FORbfCRVOY4GyTy9F3xtKjwTkBMX/Ii+v3NsD4uqNFXFCUV5r+cvI0Jw7IZkeMiR2rB6+m//Ivk1/HGxoMWMElFLsHBK3MshBjW/iX2LXsuVuY4U3oMgdXz7H6imL5b5zfwdsfTMCDmn2XU6CuKkpynzk7eJlQXHcIpau/sOEZ/0zL45JFIfc2m4Ot4wzv3HBJb7+TTJyJW5vg1hpc+E1/mOB267AzrHemFnQ63ap+h2iSevje84x/I9Rj9oIHeLKNGX1HaKss/ge67Q+VK2LIK+h+Y/JxEhOqICtn4vfRkk65cvMZuc0VsfX38yVlW5ngsn1efmLrM8Wn3wXMXptY3gMs+gQ/+Aa9dF12eKKbv1nmNOnHCO40xf83TVxQlW1Svh/uOgMEnw/yXbNkNcTzvVAnVR3v6rnFOlrXjJ9mAb4CnXxcuYU71yXzmyhz3XMzI0O10Kvg+8bWO/SPsnuJiLFF99ObaO/uJVsHK94R3YgZyNbyjKEpz4xrOitmxdau+hOp1MDAgtJKIGKPvDpKma/STLETuMfr1pogvqk6IlTnecz+Ym8Tgg421Z0vCOOg6e50Fnz/lqQsYyPX+zUSg686w9AMo6ZSdfvlQo68obRHXiwwaKL3bCfOk6/mH6qLte32GmTFlPRPXN9RamePqY5hddXqwzHHeQandK78QCorggIvsalyJuMK7pm7AiyxoINc16Pme8A4+T98vw3DCrTBkLPQckrg/GdKk7wcRuUJE5onIXBGZLCLtRKSLiLwuIl87286e9teIyCIRWSAixza9+4qiZERT9OnjqVz6Pf1QHVSttZO6skTI5PNlxU48vuYu3ttyIZ3zl3Nql99ycpc/ROvaJwq1eHE98OP+lLxtx96RfW94x90PWtPW/XsExfRdT9/r0YdDVtPIzdVvBjL29EWkN3AZsIcxZquITAXGAXsAbxpjbhGRq4GrgatEZA+nfgjQC3hDRHY1Jtm3nKIozUYmRj/eOfXV8OQZkeNQA3z3QVauHyVzvMqROe74T/oUfR6czp5qyCZjzXrX0/fcPOhF0+jpu3UBA7kA5X3soHVzrhfg0NTwTgFQIiL1QHvge+Aa4HCn/hFgOnAVMAaYYoypBRaLyCJgJPBhE/ugKEq6uMYlE58r3jnV66KPww3pr/7UUBc1IcsY+Lb2AGZWjmd9Qz+6FizmhJ2eZEDV04nnLqVqzDNdnar/wXa7y1GRsFBBu9h2gZ6+P7xD07680iRjo2+MWS4ifwWWAluB14wxr4lIT2PMCqfNChFxxLTpDXzkuUSFUxaDiEwEJgL069cv0y4qihIP17jEy5VPRNA4AMTKI4Qb4M0b07v2Td2hvDfGEF/muP2ukGy4IFue/in/gBcvjS3vux/837po776wfWy7RqPvpF96tXe8b62++8GmpcHXyDJNCe90xnrvA4GNwNMiErDmV+SUgLLAYX1jzCRgEsCIESPSHPpXFCUpqXiUxgRLAcQ7d+v66ONwPaz5Ku2uVazpzIzKi1lZP5gO+asY3fFOdm33TkTmuKHGatKvWxT/IqnG9P1x+LxC22+XnY9M/R5BXw1hf/qlQHdHv6hjn0i7Mf+Cgy6Fsu4pdbspNCW8cxSw2BizBkBEngMOAlaJyI6Ol78jsNppXwH09ZzfBxsOUhSlpYmXO//Z5Mh+qN5mtsScG8fT90++ivdFEIdomeN1HFZ+D4NL3oyVOd74HfQ7MLHRT+TpH3gJfPjP2HZXLrKG/M8D7HF5byh1jPBRCb5YgsI1jXUBs28PuBh6D4f+ngyjwhLotU/8e2SRphj9pcABItIeG94ZDcwGqoBzgVuc7TSn/YvAkyJyO3YgdxAwswn3VxQlU4K89VevhbVfR44baoKNfqrGPEgsLYA19QOYWTmBJbX7eWSOX6NAEgirbQqYqeslKL7u4vXuvd6638v+pZOimTR11TH6QVLI7tKOhSVOgVi56f4pppQ2A02J6c8QkWeAT4AG4FNsSKYMmCoi52NfDGc47ec5GT5fOu0v1swdRWlGvv/MhlyCQhRBRv/Df0LPoZHjUB2sWRi9aDmkPsM2iQTy+oY+zKwcxzc1oyiWSg4oe4w9279CUV5ybZ2kfSgojj4eNh7muF8xnnNLA8Ipux5nJ6ilTUAorLbSbrvuYucC7JMoAt4yNCl7xxhzPXC9r7gW6/UHtb8ZuLkp91QUJUUmOYuaXLUENi2HHTwGPV5c3lveUAv/2s+mE0a1aZqnv6mhJ7Mqz2pemWO/p+99SbjPuNPhwROgJjyV3r3OewXmPBns6dc5Rr+4Q2pzAVoAnZGrKLnOo2PtwuPXb/RM/U/BW3flDvyiZymGbfxhoMpQV2Y1p8yxF7+n78V99p2OyM69+h8YEau7yElQvOsAu631GP1tBDX6ipLrrPjMbrduiCx1GNfTj7NYuZdUV65ysmBcmeN51cdikCzJHCcL7/hj+gGefnMsUtJjcPSxu4i7u7bANoAafUVpK2xZmdzoe4m3QlWKnn5NXQGfbvlhejLH2aIwQXinJTniOvjPr6Fdx9a5fwBq9BWlrVC1GquSQoIlBz3GMZ5g2oPHRfYLS6G+Kqq6UeZ49anUhYsY1O49RpZNjcgcdx0E676mWUnk6bs0k3RxFPtPtL9tCDX6itJWCDke+jdvw2Njk7d/77bg8qrVkf125Y1GP0bmuHweIwsn0bVwafT56Rrbgy61i5akQ8KYfoD2TRtCjb6ibM989QpMGQ8n/NWmW/Y/0MbcawMGR92sm0VvxL+eNwzy9WvJ719cTmjzmmCZ4x3yYN3S2HPcLBfvAi6JOOAiWLMguj/efk6cDvnFEUloSJK9k2AyVRtAjb6ibM+4Yl+vXGm3N2yCF34OXzwd2zbcAHVVkdmoTSRk8llQeTizqm+hcgv0KpzHcZ1upVfRfOd+A4JPdJcBTHU5QMmHMx+Fb6fD5HFOoYGj/2BntgbNZA2SOXZpzoHc7QA1+oqyPeP3Vr+dHmzwwaZQLvxvkgsmH/CMkjkO9aJH/zKOLPhVrMxxvJm7eU6fg/Lag5A8O6PVnxkz6rL458SEd0zsfnN7+kETv7YB2ub3jaK0JKvnww0doeLj7F/bb7geHRO/bbgBSjrHr0+CMfBNzQE8te5vvLHpCgqklhM63czpVw6jb3GArn28wWLXw081jdF9xkTSCgDnvhzZz2/lmP5P34Ofb5uq8erpK0pz43rX86dBn+GJ227daFebKukEt+4Mp90PQ04NVo1c8j/YvDz1foRDyaV7A1IbjYGldfsyI0jmWEx8RcvKVcHlroffvmtq/XbfJokGZ8Gu6dupH2xcGrlHQUlE/8b7QN7rNgc77tV8124iavQVpbnxKy0m4oGjYe1CONcZ4HzuAvj00cixl4dPSLMfobSVL5fXDmFG5dmsiCdzDOmHSVxPP1Xt+EYD7vH0k81wFYFrKuxA9/MTo19m7hq8Tfjq2Z5Ro68ozU06Rn/tQuccj5Fa/G52+hFuSGFilb1vyjLHkL7H3CgznGZ7b8jm7DjjFl6KOwSPGxx8BXTqC0N/kGIHcgs1+orS3PhTBFfOtTNjy3tF2tRsgluaeZW4aRfDD59L2GTN1l7M3HBmejLH6eI1xD94wOrw+5da9OL+3dwB4O6DofOA1O7lShp7vwwKimDvCSl3N9dQo68ozY3f079nFCBww8ZIm2T68NkiTninUeZ4ZQYyx+niXUVqz9Nh3vPw1csptMfm5Hfqn/q9dj0ejv49jPgJrP82onrZhlGjryjNzaZldhsV3vEPmLZQzrgvvBMjc9ztdfbOezhW5ri0R/RM3KbghoNSDQt58/mTrS7Ve4QdyC0stcd5eTDqcrt/XoIXSxtCjb6iNDefPm636Qx4JhNES3NANnKeNfoRmeOjEBocmePnKenWHdYHaO702z949uwuR2fWD6DxRZfM+Kfzdxt7l83fb4G1ZrdX1OgrSrap2WTXb+3tS89MZ8AzmTZOqvLGPqorQ3y8+ScRmePOHzK84EGPzHGaxvLMRzPqB+D5e2TR6LfgWrPbK2r0FSXbPHkWLP3QyulOnB4pT2S80s2ACadn9GvCZXxaNZbPHy0n1HACu5e8zYjSqZT37AjrvLr2aUoQJ8udD8T3rMmePU/nkGYTNfqKkm2WOjMxazbBrAc8FWInVDWVumr41/6pNXVljqtOoc6UMKjbQkZyZ0TmmE7RJ6SrO5+qlIKXGA8/wOgfcxO8dl3611aSokZfUdLFmNQ98w1LIvuSFzuhqq7KLmc48JDk16qrhnf/Al9OSzoTt94U8UX1CXxaeSo1ppyBxR+xf9lkuhb4VC/zC6OPvevfnvR3ePkXTnnAy+DAS5L3ORGJ/oZ9D2jatZW4qNFXlHSY9zw8fR5cPie1XHHvQiT+8I4x8MCxsOoLqJiZ+DrGwNxn4f2/JWwWMgXMqz6aj6tOpzrcJSJzXPhN8An+8EzYM4A84scRox/ETofHr9thT1j5RZxKn4fvGv8fPGBTOOuqoKg0/rWVJqHBMkVJhw8dKeNU8+q9HrLf6FfMsgY/FcIhKO0Wtzo05Cy+rB7N42v+xXtbJtIpfwWndvktJ3f5Q3yDD7HCZMaXFbTz6PjnekM77TpF1+3zo+jj42+N7Ps9/LzC6HLX4A89Pf69lYxpkqcvIp2A+4Gh2BGgnwALgKeAAcAS4ExjzAan/TXA+UAIuMwY82pT7q8oLc5GJzxSXB5cH/anWiYw+nXRywwmJFwfmMbZKHP84Ylsqu5Aj8KFHNnxX7Eyx/Eo8OnOb1kRfXz2M4CBqefEnuvNn7/6O3jijMhCJw210W33ngAd+8BzE60oGkSM/LF/tDNmdz85+pzTJsGYf6XwEEo6NNXTvwP4rzFmd2AYMB+4GnjTGDMIeNM5RkT2AMYBQ4DjgLtEUl1FQVG2EdwZna4B3roBPron4tFvWBzdPpGnn04q4ur5MCUiHRAjc5wfsjLHXa4KljmOR7I+5OXFH6zN8/uMnpu6Rn//n8H5r0NxGex+Avy2wiOc5rQv6w4n3R77AsrLj13gXGkyGXv6IlIOHAqcB2CMqQPqRGQMcLjT7BFgOnAVMAaYYoypBRaLyCJgJLBtik4rbZNQAzTUWCPlZ8a9sUb/tf+DTx+D7rvCzkcmXrwjxuinkaa53Grxx5U5PmgQ8uns1K+XLkFfJf6Xgfd5Ghz5hvbdoO/I4Gu20ZWrWpumePo7AWuAh0TkUxG5X0RKgZ7GmBUAzraH0743sMxzfoVTFoOITBSR2SIye82aNU3ooqIkYP7L8Kd+UO/RW596Dvwp8J+lFQZzcT14d5LUZics4g/BRHn6fiOXhtFrqGF57RCeX/9HXt7wf9SYMkZ3vJPx3S5nUMkHSDxN+6Sk2IcgQbSEnr5j9IPy+NNNC1WySlNi+gXAvsClxpgZInIHTignDkH/ugL/6xtjJgGTAEaMGKH/QpTm4fXfQe0mOyjbbZAtW/DvSH1tpU2N7DwwdoDTNe7uQiCuUUwmn+Bl/bcpNVtZtyszpkJFzU3xZY4zyZeH1L3t6vWxZTGevuNDjv4d1LuefpeAi7n/S6un3xo0xehXABXGmBnO8TNYo79KRHY0xqwQkR2B1Z72fT3n9wG+R1FaC9dIxTPUk8fBkves0ffH6itmQs8hkTi069n6NXG81/Z7uC8lWOMVWFM/gJmVExpljkd1eJCh7V8NljmO8bp9DD0dFr8DVb4v5z3PgG/eim3feWD08S5Hwic+yQX/kFyfEfalufOR0H13OyN52Pj4fdLwTquQsdE3xqwUkWUispsxZgEwGvjS+Z0L3OJspzmnvAg8KSK3A72AQUCS5GRFaUb8Rn/VvOj6Je/Zrd/gA7z6W/uLuZbPsHtfAil+BTTKHNdYmeP9yx5nr/b/TixzXBLkUXswYdhjLMy6zx6PON8ODu8x1uoEvXdbpO0Fb8XOQTjxdjj8Grjdszi539Mf9QvY7fjIAuYHxZm8peGdVqWpk7MuBZ4QkSLgW+DH2HGCqSJyPrAUOAPAGDNPRKZiXwoNwMXG+L+ZFaUF8Rv9h09s+jX9k6y8GjlJjH6MzHHpVPYunRYrcxxE0JqsR14Hb91k90N1ESNd0sVmy8TrV9A6vvmF0Yu+QOzAdF5exOAnwo3z5xclbqc0C00y+saYz4ARAVWBMzqMMTcDNzflnoqSMW//ycbvy3vBgRfFGv1EoZhkuOe+8PPocm++ehyjXxnqyuzKM5i/dTRCKCJznLc58T3HTYY3rofK1cETtw79Nex7Lvx1EIy8EL5+3ZYX+NIg0xmH8JLu2rguh11lXyL+CVxKi6AyDErb4Z1bIvublkWMVmMIxhNjDoec4xSNf7y1Z72ZQT7jWh3qyCdVpzG3+jgrc9z+NYaXPuOROU5Cu47w8w9sP9ctCm5T1gNu2GT33di9P/c9U6Of6UBscZkd7FVaBTX6Su5iDLx5I+w1DnrsHl1XuyUykOimXXoHFk3IHqfq8ccz+g2eOLxjXBtljqtPJGQKIzLHBWmmJ+flRwTTitonb+8OvMZ4+ml81VwyGx46wa6ipQOx2yVq9JXcpWqNFSibMwV+9VV0Xbgh4umHArJhwiFbn6oXHG8lK4/gWl0dzKk8MyJz3O59RpY95ZE5ThNv9kxhCgJlboZPU8I73QZZT71qNZpyuX2iRl/JfYJWmfIa/aAFSRa8Et97DyJe260bIjLHL+xBTd1eEZnjwqXB5+xyFCx6I/k9vYuLpOLpu0bfP4CabnjH/TJQT3+7RI2+ksO4RikgfBHl6df72mMnbqVDgKcfI3O8w0ZG1t9Mz8I48XeX/S5Izeh7PX2/9x6Em70To6GfptEvdF4wmQ7kKq2K/ldTcp+gmHU4lDimn64W4IYlUGVn5YZNXrDM8cGfJzf4YHPdy3aIHJ94W3A7r9F1+951l/jXdY2+fyJXukZ//JNwxLWprSegbHOop6/kBuGQnThUuSqSrdJIMk8/aIZrmv7Qwv8Qvm0wi7YewszKcWwK9XJkju+iT9Eca5NX9U16mUa8L6BQffD4gn9y1EUfQVlP+OwJK3TmpzG800RPv/MAOOw3SZsp2yZq9JVtn2+nw6Nj4DeL42i5AG/cYA2+l0Rz/8INESPYGI/PzNM3BhbX7s+Mygmsb+hH14LFnNDpjwwonhUd9na15lPCZ/TzCiHk06j397FxJuylwZd0n7epnr6yXaNGX9n2cZcIXPGZ1XUJomJW9PH9R0OXnex+UHgnVB8Z0PQv+AEpCZhFZI7Hs6ZhF0fm+K/s0u4DRBKkQY78Kcy8N/HFozz9Wrt04Yx70u5j9DVTCO94w0pKTqJGX9n2qFoH794Kx/zBhiJSySP3Z89UzPRIIsSJ6bvL8tUGzHxduzDh7ZbXDmFG5dmsqB9Mh/xVjO54J7u2e4c8ScFrbtcxeRtvvD5UD8f+KdbopzuQmu9bltDFNfrH/8XO4FVyGjX6yrbHa9fCnMlWtXFP7zqpASmCG5daeQXvzNdUMCG7RB9ElCdTSEFcWbcrMyrHU1G3t5U5PryKwatuJ39D4pdEFH4NGy+7ufo//vBOgIFP19NvVx65nhf3pVpUqitVtQE0e0fZ9nCNUmPYwTFKFbNhrS/75aVfwJwnYdXc+NcL+lAIN0SuX+mqf8c3+mvqB/DvDb/l2fV/Zl3DQEZ1eJAfdr+IoXsZ8vPTzFfv5BvQvdqTr3/072O7EjTQDOlnGBU5q4H5w1lDTrPbvgekdz1lu0Q9fWXbw/W4/WGdt2+yv6jsnAxlems2RUJCQQuEOCSVOe4xOH2Pu7xP9LE33NP4teGx+vHUKNO9r6tu6X+JDDoqIONJyVXU6CutR30NrJ4Hvf1SvgkmVflJSTfGwOyHoosqV0UmVDXUwKdPONIClpRkji+ZbWUJ0o2tl3SKX+ca8pPvgMfG2v1Drwxum3ZM3zH6QQPXSptBjb7Serx0OXw+BX45PzrO7ff0v5/TtPsYAy//IrZ8s6N5U78Vpl0EpClz7C6xmK4MszuWEIRryHc+IlJW5NPVKe1uxyHi6f3Ew524tc/Z6Z2n5BRq9JXWY/lsu62t9FX4PP3aZgo9rFlgt0s/iJE53qP964wofTo1meN01wIq9OjkjH/Kbjv1h43fpWbIf3A/vPl7a/zToay7hnEUNfpKC/DdBzaE48aUXRqFu3xhCq+nH0omepZieCeIhq2OzPEYPq8+KXOZ41QmNxWWQn2V3fdmCe12nN2e+xLMuNca/2TsdLj9KUoGqNFXmpfV8+Gh4+2EpBP+EpEsFokYy5hUSY+n35AkFTPD9VbrwiXMqT6Jz6rGZEfmOB7XVNjtK7+xWUZeeu4Z2e/cH477Y3bvrSgBqNFXmhdXGmHNV1CzGW5x0hX3PhtqNkbaheptCmJeXrSnH5R///7fYesGOPrG4Huu+yb6uC4SPmqUOa48lRpTnlzmOBX8M1xdCko88Xvfy+mij6DDjomve9YT8WUnFCVD1OgrzYsbnskvjDK+fPZEdLs/dIN9z4FT/kGUpx9k9N+43m6PvpHA0M0/9o3thl/muOgTRnaYnJrqZTKC8uXPeAT6HxT/nFQWEB98UuZ9UpQ4qNFXmhd3gZK8QuJOfnLz5T951Bp9t9myGbGZK14eORnWL0l8e5PHV1uPYFblmVSGe9CrcB7HdvorvYrmp/MUiQkayO22q12fVlG2MdToK82LO7s2vyB+lsvLV0T21yyk0ep/+rj9xWPxu3GrwiaPRTWj4sscZ5MoWYMki6mPvTvLN1eU9FCjrzQvXk8/Xjrid/+L7P9rPxvvz5CUZY5dhpwG857L+H5A9HKL+UWOBLLP8Jd0ttvCkszv03sE9N0/8/MVhSwYfRHJB2YDy40xJ4lIF+ApYACwBDjTGLPBaXsNcD4QAi4zxrza1Psr2ziuF5xXkPqas/54fwrEyhwvT03meNAxTTf63rTSguJY3XuAI/8POvaBwWMyv8+Fb2Z+rqI4ZMPTvxyYDzgSflwNvGmMuUVErnaOrxKRPYBxwBCgF/CGiOxqTLozW5TtCncgNr+w2Rbr8MscH1l+J7uVpChz7J87kAnFZZF9V77Yn0pa1B4OvLjp91KUJtIklU0R6QOcCNzvKR4DPOLsPwKM9ZRPMcbUGmMWA4uAkU25v9JK1FbC1o2ptXV1XiQvfdmAJKysG8S09dfzwoab2BzqwWHl93B2t0sY3P7t1Aw+pLageDLGT4ns52fhJaIozUhTPf2/A78BvGIiPY0xKwCMMStExE1h6A185GlX4ZTFICITgYkA/fr1a2IXlaxzx15QvS4ypX/Bf23oJijF0BvvTjW8k4Q19QOYWTmeJbUjKcnbxKgODzK0/asUSBwJ4kRk6ul70zS7DIzsl/WALd/Hz91XlFYm43+ZInISsNoY87GIHJ7KKQFlgcFWY8wkYBLAiBEjMtTOVbLO9D/D9IBZo5PPstsgXZdGQ2/S16jxsaGhNzMrx7Go5uBgmeNMyNTTjydrfNZjMP9l6L5b5n1SlGakKeGdUcApIrIEmAIcKSKPA6tEZEcAZ+vq1VYA3tUj+gBZnvOuNAvGwHcfBhv8INYsgOm32PNco2/IOLyzqaEnb2y8jMlr7+C72uGMKJ3Kj7r/lBFlzzbN4EOw0R94WPTxcbdE9ic8bbf9RwVfr7w3HHhRSqtwKUprkLGnb4y5BrgGwPH0rzTG/FBEbgXOBW5xttOcU14EnhSR27EDuYOAmSjbPh/dBa/+Nra8rtoOUHpZvxgeONouUtJzqCezxaQ9kJuWzHGmBIV3zplmjfa856FdJytz/N+rbd2ux8DP3ofOA2PPg/QXNlGUFqY5Ao+3AFNF5HxgKXAGgDFmnohMBb4EGoCLNXNnOyHeJKiajbFG/869I/tPnQ2HOAuAhOph2iUp3a5JMsfxiJePX1gCnQfAhiWRMtdLH3Jq8LV22DOgbC9Y+Xnm/VOUFiIrRt8YMx2Y7uyvA0bHaXczcHM27qm0AKEGK5RWMSu4vsEXWpkbYFRdYxquhzWJpQ+yInMcD++ShF5KOsPEd+yXyR17ZX79c1+KLMqiKNswmmKgxOelyxJPlPIvu/fMj2PbzH3GbqOkCqKJljluz6B276Unc7zfhdC+K7xzS/w28ZYoLC63EhElnWDo6bFfLqlS0inxMoiKso2gRr8ts3UDLHwNhp0VXP/51MTn+z39RATE82Nljmew/xl70/WNv6V+XYBOfWH/nyU2+vFkjPM9/wuc/kB691WU7RA1+m2FqedA/4Nh/4mRsmcvgEVvQJ8R0HXn9K9ZvT71tp7MnYQyx92fSr8fxiRfJDyZdr2itBHU6LcVvpxmf16jv36x3bpeeEMdbFlhV3FKhcdPg177pNb261djZI53LJzHsZ1uo1fRl5F2mWS/FJYkN/plPSP7I38Ku4xOGHJSlFxFjX6uU7MpNrRSuRrWfxsthmaMjcl/9TJctcRRhUxhXtz3nyZtYozwdc3BHpnjrzmi4130DZI5Tma8/ezzQxh+XvR5B18B7/tCRG68/ZBfwejfpXcPgHNf1nRMJSdQo5/r3BIgY3H/UbDxu4j3a8Iw4x5r8AGq1lkp5AzXn3WJyByPZ31D/4jMcc9VyKY4yxOma1hH3xCba99t19h25b2DZwynysBDMj9XUbYh1Oi3RTZ+Z7fuQGw4FJ2L/9njsZ5yGliZ432YsWVCsMxxYYBRdglaejARQS+JPc+w2TxPnglHXgeH/jq9aypKDqNGv61xx7DIfu0Wuw03RMsRNMHgL68bwowtE1hRv0d8meNEht1rxEf9Av7398Q3DDL6+YWw67FN8+wVJUdRo9/W8M48dWP94YamreiElTmeUTmBirq9Kc1bx2Hl9zC45E3yJUBZMz/BPztvbP7oG5Mb/XS/DBSljaNGP1e552Dok+JyBSaUsdpkRjLHeYXx6/xG/PzX7dhD1Ro7M3j9Yph5r+da+k9YUdJB/4/ZnqivseGM/ARG02XlF/aXCuFQ2p5+k2SOO/aG7z8JrsvzZe/0dV5cnfvb+QT/udrXXj19RUkHNfrbEzf3hK67wKUfZ/e6/ph+AjY19GRW5VksrDmUfKljROlU9i6dRnFeder3G3gYzH8puswVLEuWsunV6CsuV09fUdJE/4/Z3li3KPvXDDck/XrImsxxYSmMOB9euTK63DX2yeSXvfWuBLKiKCmjRj9XqKuCwvaZGcF138T1sINkjoeXPkNZfhoSDFEYG8IZeGh0mqgbpgknM/qeuQPZWNRcUdoYTVoYXWlmwmEbx/ezdhE8/7PIjNrN38Mfe8FHd2d2n5cui1nVqiZcyodbzuaxtXfzefWJDCp5j7O7Xcxh5ZOaYPCJeOrnvAjXb7T7+UWRAdyknr7Tz55DoccemfdDUdooavS3ZV671sbxQ/VQWxkpf/w0mDM5op2zeYXdfpFEFTMRzrKGdeF2zKo8g8fW3MsnVaczsHg247tdxuiO/4zo2g+bYMcWMsH11EXs78pFcOXC9MM7Iy8M/qpJlBmkKIqGd7ZpZt5nt+EGeP6nkXJ3Rq2b7+6GOfz69mlQv3YZc6vG8EnlaY0yxyPLJtOt0LnXFV/C3xzP+tAr4fEf2P3hP4aPH0r9Rn6jXtbdbhuNfpLF1BrPDzD4570CnQJkJxRFaUSNfmuxYo6V+y3rEb9N2AnfhEPw/WcB9Y6BdAdh67em3Y2QKeDL6qOZ/c4xsTLHXrzSxF13jty7XXnsRU+9N/olFUUcPZ9++8PSD6A0wd8DPF8KAR+pA+IsVq4oSiNq9FuLew+F0u7w6xSycUyoMfwShVvmGuANi+HGLimldKYkc+zFnz/v3ru4Q0B/E4Ro4tUdcZ3VzOmeQJfHe77m5ytKRqjRb02qUlz7NRwKXqUqHII1C2H+i5EyE4penNxHWjLHQZT3idwHbK58zE0SGf04nn5+AfQcYvd77gmr4kws67WvHc/oksGiL4qiqNFvde46CC58CwoTTI4Kh6A+YPJTuAHuSS2kEVfmuHhW6lmev1lsM23ce0P6nn4qGv0Xvhl/gZORF8JOh0H33ZJfR1GUGNTotzQrv4BHx0aOV8+D6nVWmgCsdf72bTtr1cWEIBSgZRNOMuhJCjLHfg7+Jbx/e/DF2nfx3Ns1+h5Pv+8BsOyjJuvwU1AcPwdfRA2+ojSBjFM2RaSviLwtIvNFZJ6IXO6UdxGR10Xka2fb2XPONSKySEQWiMix2XiA7Y7pt0D12uiyJe9FDPiyGfDYqfDadZH6oHh+onKH5XVDeH79zby84XfUmA4cWX4n47tdxqCS/wUbfLCZOYOOiS4bELCAiNvfolK73WFP2O98u99jcMJ+KYrSejQlT78B+JUxZjBwAHCxiOwBXA28aYwZBLzpHOPUjQOGAMcBd4m0MV3cVfMiq1N5ef6n8N5tdr/G0YD/6K5IfTyPPk5648q6QUxbfz0vrL+JzaGeHFZ+D2d3u4TB7d+O1rUH2OVouMQz8FtUCqf8I3J82v3woxdib3LEtXZb4rzTQw2w15nwq4VWJO2XXwX3WVGUViVjo2+MWWGM+cTZ3wLMB3oDY4BHnGaPAGOd/THAFGNMrTFmMbAISFH7N0fweu9+Vsyx260bY+tMCDr0ii33hXzW1g/g3xuu4dn1f2Ft/UBGdXiIH3a/iKHtX43o2h94SfQ1eg+PeOsu3ndxWfdg/fsDL7KLlLjqnO5XRwdnCcbyHWGvcbHnDZsQW6YoSouRlZi+iAwA9gFmAD2NMSvAvhhExE287g185DmtwikLut5EYCJAv37b8WSbFXNg4zIYfJI9ThTrdnPsazbG1oXDUFcZW+4Mdnpljoukiv3LnmCv9i8Hyxz7hdWKO8TGz73pkMnUN12Vy3DAwKs//HTVkuBsH0VRWowmG30RKQOeBX5hjNks8VNBgioCraAxZhIwCWDEiBFNHBVsZp6bCAtfhau/i62791C7dZftS5TV0mj0A5b4C9VFljb0sGldHbM3XsqCmsPIlzqGlz7N3qXTaJdXFf8+fini3vvGvggyMvoBoSZ/+Km4Y2y+v6IoLUqTjL6IFGIN/hPGmOec4lUisqPj5e8IrHbKK4C+ntP7AN835f6txrfToWot7Hk6fP5Udq659APYVBHs0dduxvt+tDLHpzP/kWLEjEpP5tivTdOpP+T7PH1veGfHYSTEfWEEDSq7LwTJty8ANfiK0upkbPTFuvQPAPONMd4cvxeBc4FbnO00T/mTInI70AsYBMzM9P6tyqNj7HbP01NrHw47Bi/JR8s9h8Cw8bHls+4HgmSOX01f5ji/AEq6wFbnnPZdAzx9zz+LZEn87pdAWc/YuuNugQ472EHf2oCXmaIoLU5TPP1RwI+AL0TkM6fst1hjP1VEzgeWAmcAGGPmichU4Ets5s/FxiRT19qOuLEzXL3MxraLyqINaX2VjZ0ny1/fuj4wH79mzit8WnU2n1efSMgUsVvJdPYrfSqiepmMroOs8V670Hr6Vy2GGzraOu+ksB32tNvG8E4Ks7bad4EfPBCc1lnaDY65yblP0xZeVxQlO2Rs9I0x7xPfKoyOc87NwM2Z3nObYMuq4HIThg1L7AzZXY6OrqvdEjxzNYhZ9zXu1oXbMaf6ZD6rGkOdKWVQu/fYr2wKnQvSjIoVtLP590+fC732sWXuRCqXn38YmSCWV2DrD7ok9lpBpPrFoyhKq6MzclNl8/d2sPLvQ+O3cQdqF70eXb5sBgw5NeVb1Zsi5lYfH1/m+IS/xi43mIiajTBkLPT9yqZSApz7UnTGTU/PgiQicP6rqV9fUZTtBjX6qXJ7CrNM482QXf2VnZKWhEaZ46rTqQ53oW/Rp+xfNpmeRV9HN/RKNKRC5wF2W+6RRy4oAorSu46iKNs9avQTseA/0P8gaNcxtfa1cbJnGpx0zCD9HFKUOfauKZvO2rDDJsCx23dETVGU7KFG32XrBpgxCQ79tc202bAEJo+D3U+CMx9N7RpuVo+f/91hXyBrF0YVW5njUcysHJ9c5njo6bD0I/viSGfx80FHRQulKYrSplGj7/Kfq2zO/Y7DYLfjrPIl2Nz5JixD2IjH4FuZ45HMqJzgyBwv4fhOf2Jg8cz49rygGH76rvX2G4K/GKJo39V5hjReEIqi5Dxq9F3cPHJ3cLPOmdVaVNqYJ99UXJnjmVvGs7phkCNzfBu7tEugeumSX2TVK3sMtnn/ySjpYo3+1g1Z6buiKLmBGv1GHKO7qQIqV0dkEQrbw+v/1+SrL68bwowtE1hRvwcd8ldxZPmd7FbyTqzqZSNC1GQurxxCXp5Vt3QN+v4/hxl3R5/eYQdY93VG6+YqipK7qNH389+r7e/0B+1xUfv4bQP0cPysrBvEzMoJLKvbm9K8dRxWfg+DS96MqF7Go7AkerWsAl+mjXeiV8c+cMFbcP+RdsFwE4ZRl9tQ1YgfJ+2joihtBzX6Lks/ij7etNxuXb34IJ7/WdyqtfUDmFE5niW1I2knmxjV4SGGtv8vBZJCPB5sOCfK6PuEz858FB49xe6HG6DPcPjdBnj4RKvjU1iiWTuKosTQ9oz+a9dZSeIeg+GbtyKZOVt9+jXLZ9ttoU9r3sv3n8UUpSVznIh8n2fvlyTeybecItiwT6e+VvzCr5GvKIpCrhv9rRtiPfUP/hF9/O070GdE7LlfOjpxQQuSu3h0azY19GR25ZnpyRz7KWgHDTW2z36jn2iugFfW+MTb7XKHrtyCoiiKh9w1+kvet6GOCU/DrsfEb/foKTYHPh7+LwAv4YaIzPHWoxDC7NX+ZYaXPZeazLGf0+6D/qOsWNsk36zbkk6x7cfcBdMugr3OipQVl6kWjqIoccldo+/OXl0+G3Y+Et69FTYuDW67dkH867gev4/qUEc+WXkKczeMsjLHJa8zvCxNmWOX3iPg+D9Hf3H4Ne6LAgTb9jnb/hRFUVIkd41+jeNpL37PLlu48L/x2/oXFkl02XApn1WNZU71iYRMMbuVvM1+pVMpL1id/OQghv8Yjv49tPPF7F1p5q67wLpFugCJoihZIXeNvquDs/SD5G0luUGtC7fj8+qT+LRqbNNkjv2c/Pfg8sOvgSnj4YI3rD6/oihKFshdox+01mw8quIvRtJgivgikcxxqhzyKyt+9s/hkbId947ffvcTImvrKoqiZAk1+gAbYw14yjLHqWJM9CpVAD99J7NrKYqiZEjuGv14MsdJcGWOZ1eeyZZ4MscZXbg++XKJiqIozUzuGv2a9Ix+kMzx4fFkjjMh5JNd2OnwLFxUURQlPXLX6KegiwMZyhxnQn11RAe/vDecE5wKqiiK0pzkrtHvOxIWvBK3OqnMcYdesKWJmTle6iqhbAfoPRyOvC5711UURUmD3DX6J98Z1+hHyRznrebI8n+wW8n0aJnji2fALX0zu3fv4bD8Y7tfXG7HF2orIb8ALnwrs2sqiqJkgdw1+nn5MUWr6gYxw5E5bp+3nkPL72WPkjeCZY7zU5+wFcOEqfDs+fDtdCjrYY1+XRoaPIqiKM1Eixt9ETkOuAPIB+43xtzSLDfyGH2/zPFBHR5iz2Qyx3mFIPkRBct0KO0GQ39gjX7/g+yM2n77p38dRVGULNOiRl9E8oF/AUcDFcAsEXnRGNPEfMigm+U7MsdnsajmkPRljvPyrdJlg2/lqVRj/cMmQF01jPgJHPxL6JhhqEhRFCWLtLSnPxJYZIz5FkBEpgBjgKwa/XDY8PbkJSxYe0dmMsf7XWgzbYaMhTmTrfhZyFkcvXzH1Ix+fgEc4Cyy0mVgRs+hKIqSbVra6PcGlnmOK4CYuIeITAQmAvTr1y/tm+TlCeEQmcsc73a83Z58p820Wb8YHjnJlnXqZwdpj/69lUEuKIZ7DrZ1g0+Bfgem3V9FUZSWoqWNflDme8w0VWPMJGASwIgRIzKaxnrUj/dAfv+w57ZpXKbAkTUuKLLrz3bsE9HBefkKuy1sH7v4ylmPZdJVRVGUFqOljX4F4A1u9wGymAwfQbxSxHkFVgYhVfxa9tEXtluvpMJV39nFyBVFUbZxWlqkfRYwSEQGikgRMA54sdnvmoJ0chQFRfHruu1mt508766STtC+S9rdUhRFaWla1NM3xjSIyCXAq9iUzQeNMfOa/cbp6ikk8vT3uwB6DoEBo5rWJ0VRlFagxfP0jTGvAPH1EZrnpum1T+Tp5+WpwVcUZbuljazBl6bRT2P5REVRlO2JtmH043n6v1rYsv1QFEVpZXJXeyeKOEa/Q08oKInMuh3xE7uEYSedPasoSm7SRox+AtxB3qGnw9F/gGJdhFxRlNwlt8M74ybbrTe8s9dZ0W1O+KuVPz5tkhp8RVFyntz29HcZHVt22iSrfFna3R7vc7b9KYqitAFy2+iLI69cVAo/fgVWfG6Ph5/Xal1SFEVpTXLb6OcXwDE3wS5HQ4/dYYc9W7tHiqIorUpuG32Agy5t7R4oiqJsM+T2QK6iKIoShRp9RVGUNoQafUVRlDaEGn1FUZQ2hBp9RVGUNoQafUVRlDaEGn1FUZQ2hBp9RVGUNoSYdFeVamFEZA3wXYandwPWZrE72wP6zG0Dfea2QVOeub8xpru/cJs3+k1BRGYbY0a0dj9aEn3mtoE+c9ugOZ5ZwzuKoihtCDX6iqIobYhcN/qTWrsDrYA+c9tAn7ltkPVnzumYvqIoihJNrnv6iqIoigc1+oqiKG2InDT6InKciCwQkUUicnVr9ydbiEhfEXlbROaLyDwRudwp7yIir4vI1862s+eca5y/wwIRObb1et80RCRfRD4VkZed45x+ZhHpJCLPiMhXzn/vA9vAM1/h/LueKyKTRaRdrj2ziDwoIqtFZK6nLO1nFJHhIvKFU3eniEjKnTDG5NQPyAe+AXYCioA5wB6t3a8sPduOwL7OfgdgIbAH8Bfgaqf8auDPzv4ezvMXAwOdv0t+az9Hhs/+S+BJ4GXnOKefGXgEuMDZLwI65fIzA72BxUCJczwVOC/Xnhk4FNgXmOspS/sZgZnAgYAA/wGOT7UPuejpjwQWGWO+NcbUAVOAMa3cp6xgjFlhjPnE2d8CzMf+zzIGayRwtmOd/THAFGNMrTFmMbAI+/fZrhCRPsCJwP2e4px9ZhEpxxqHBwCMMXXGmI3k8DM7FAAlIlIAtAe+J8ee2RjzLrDeV5zWM4rIjkC5MeZDY98Aj3rOSUouGv3ewDLPcYVTllOIyABgH2AG0NMYswLsiwHo4TTLlb/F34HfAGFPWS4/807AGuAhJ6R1v4iUksPPbIxZDvwVWAqsADYZY14jh5/ZQ7rP2NvZ95enRC4a/aDYVk7lpYpIGfAs8AtjzOZETQPKtqu/hYicBKw2xnyc6ikBZdvVM2M93n2Bu40x+wBV2M/+eGz3z+zEscdgwxi9gFIR+WGiUwLKtqtnToF4z9ikZ89Fo18B9PUc98F+JuYEIlKINfhPGGOec4pXOZ98ONvVTnku/C1GAaeIyBJsqO5IEXmc3H7mCqDCGDPDOX4G+xLI5Wc+ClhsjFljjKkHngMOIref2SXdZ6xw9v3lKZGLRn8WMEhEBopIETAOeLGV+5QVnBH6B4D5xpjbPVUvAuc6++cC0zzl40SkWEQGAoOwA0DbDcaYa4wxfYwxA7D/Ld8yxvyQ3H7mlcAyEdnNKRoNfEkOPzM2rHOAiLR3/p2Pxo5Z5fIzu6T1jE4IaIuIHOD8rc7xnJOc1h7NbqYR8hOwmS3fANe2dn+y+FwHYz/jPgc+c34nAF2BN4GvnW0XzznXOn+HBaQxwr8t/oDDiWTv5PQzA3sDs53/1i8AndvAM98IfAXMBR7DZq3k1DMDk7FjFvVYj/38TJ4RGOH8nb4B/omjrpDKT2UYFEVR2hC5GN5RFEVR4qBGX1EUpQ2hRl9RFKUNoUZfURSlDaFGX1EUpQ2hRl9RFKUNoUZfURSlDfH/1wF0hdV7SF0AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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/2aTIeThkWZ6P5R+PhgDiv20lrJoV24cMoOKvKErbpykFn3+YeLN9xJHQnILk222oTlwmvGAsKzt+uRRQ8VcUpe2z3fKPI/5bV8KUy6Ghxl4HCesQFv+gISDc+Ll9QqGI6IddRpJ5qVbxVxSl7RPE5/+/62Du03BTd7j30ObCW18Nn98XK/LbRTmg+N9YHjn3E/8/dLT3BxtbSLKCrTVIklSGvhVFUXYNvnodnjgT9jzGXsdzn2TnRc5XzYZ1C50LgTdvtLN7Sns2r5OORe7l83/ibHtcM9ceTSgyrpBhVPwVRWm7fPmSPS792B69fP5bVsCit2LzplwaOa/eYI/1Vc3LpOX2qYlN++q15temqUVcPqBuH0VR2hq1WyLhHMLukqZ6e/Ty+T98Crx4pf90ShGX2yXa7eOTHs2n98SmBZm+GWpqkcFeUPFXFKWtcXMf+O/5zdPC/nsvIa1ca485ebF5AGvmwTfvOe34+PxNgjDOr10Tm9bgYflH04JuHxV/RVF2PWo228iYfu6W7e4TxzKPJ87hvOx8/zJVa8OFm6en4/YJIv6hJshqGZlWn7+iKLseL/8S5k2GbkNhwGH+5aL95e5ZM8s/h3UL2C7o2T6Wv5sYyz+g28erbpAVvqZJB3wVRVG2U7vFHhP5zeNNkbz/aHsML9AKtAAsSsDDgh7E8k9W/Be/baeXFnUJ0K/kUbePoii7HslY3G68RHq72yeF1b/b7x+gH+GFZmEShXd49DR7rF6fdK+CoOKvKEobJsDiqLD4B4n7E/3ySDTQ66ausvm1RvVUFEVJlvBAbgKLO9rtY4yduXP3gZG07at/U3H7hOygbBC3T72Kv6IoSnr4uX1iRDja8jd2sHjt/DhtxiG6/Rd+An/oFHmBxCO6TJDAbi2Iir+iKDsvf9sbbhscvLzvbBxXfkq+fR/WfmGPIZ+Y/W6iy4T3BGglAou/iDwgImtFZJ4rrZOIvCEiXzvHjq68a0VkkYgsFJHjXOmjRWSuk/dPkRaIWKQoStugcjVs9doG0cft4/bB127F0/L3E/8gUjT1J97pfhu2JFtmB5KM5f8QcHxU2jXAW8aYgcBbzjUiMhg4Bxji1LlbZPtk1XuAK4CBzie6TUVRlPj4zvZxXd+8u4flH/L37aeyUCtMIMs/gGtoBxJY/I0x7wMbo5JPBR52zh8GJrjSnzLG1BljlgCLgLEi0gMoM8Z8YowxwCOuOoqiKMmRaPbNpm9jy/st5kpH/IPM+klB/OtCRXxTu38KHUpMuou8uhljVgEYY1aJyG5Oei/gU1e5FU5ag3Mene6JiFyB/ZVAnz590uyqoihtB78B3ygRXvhKVD0D2T6y986fUu9OIMs/+LTQmlAps6tOZm71iTSYAi7aXEdxhzjhJ1KgpVb4ejnPTJx0T4wxk4BJAGPGjEnjtawoSpvCzz+fyHqPZ/mnQ4Z8/lVNHZlZNYH5NcfSaPLYI/9TRpdMprjDrPT7GEW64r9GRHo4Vn8PIBz9aAWwu6tcb2Clk97bI11RlPZAUyPc0g9OuAVGnpd+e0kvujIB5/MnSbJTPfNKms3739q4GzOqTmdBzZEYstir4H1GlTxLp5wVHg1lhnTFfypwEXCzc3zBlf6EiNwG9MQO7H5mjGkSkW0iMg6YBlwI/CvNPiiKsqvQUAX122yI40yIf7wBX8/iGZ7qGSaQ+Lss/4JyqK9kU2MvKirP4KvaQxFC7FP4NiOLn6M8Z03m+xhFYPEXkSeBw4EuIrIC+B1W9J8WkUuBZcCZAMaY+SLyNPAF0Aj82Jjtv3l+iJ05VAi86nwURWlPpDO4ChG3T7KWvwm1kPgn5/ZZV7c7FZvOZXHdOHJoYFjRy4wofoGS7Og5NRAoREUKBBZ/Y8z3fLKO8il/E3CTR/p0YGjQ+yqK0pbIlJCl6POnhXz+Aad6rq7fm+lVE1laN4a87DpGFz/L8OIXKczamvk+JUBDOiuKsgNJIgpmUu2FLxNY/tMmwZ5HZ+jeLuK4fYyBFfX7UvFf+G7jzRTIVvbv8hL77vEd+Utf8623nRZaB6viryjKjiOZ+PfxWD7Nu51E7VauTu++fniIvzGwtG4M06smsqZhb4rqDQeVPsCQwtfJ7dQNcvdqmb4ERMVfUZQdx3bLPE3xr3QNiK6ogI2LYdhZ6bebKi5/fshksbh2HBVVE9nQ2J/S7DUcVvZvBl1wATlTXnTKQ2AXWPRuZBlCxV9RlMyzbbUV+rKezdNTtfjXL4LizlDYMTbvviPtcdhZycXXzySr59Jksvmq5lBmVJ3O5qbedMxewVHldzCw4AOypQnmueXWBHfn6DaOiqJkhMXv2HDCg05Kv63vZkB+GXTZs3n63/e2xxu3NE8Pi3P0S2DZp1DYCbr6uELuHA2dBsCVM73b23694y3/RpPLlzVHMqPydLaFdqNzzhKO63ArA/I/JUtc/Vv4cvN+BrXo1fJXFCUjPDrBHqOF2QtjYPZTsM/JkF8Sm/+fI4K3Bf6W+QPHRdpZMR3mPG0XgrnZ+A1sXALlrvWjMx8N1n4LUB8qYH7NscyqOpXqUCe6537JoWWT6JtfEcCoV/FXFGVnZsV0eP7/4Jt34PRJ6beXyOe/7iu4z5k9fuwfY/P/OQIO/Gnk+pt3o28QpBMByvhTFypiTvVJzKkaT60po1feHI4p/ge98uYFn5hj/KLdeKDiryhKStRX29koBWXN00NNkOX4kysestMgf/Rx8zKNNfa4xSumfgC+eQ/6Hwof3QH7TiSh4E35vqvfVd5llrzvnT7t3mCurCBz8j2oCZUxq+pk5lWfQL0ppl/+54wunkz3vK9SaC0Zn7+Kv6IoqXDXWNiyPNY1U7MJirvY8xev8q4bHmxMdSOS926Bjv3gzd/BvClwzhNOewGs71d+5ZPhI5qv/gY67ZG43SSfpbKpMzOrTuWL6mNpJJc9Cz5mdPEUuuR+m1Q7zfsQ5fY5/1l47HTvslkq/oqipMKW5d7pQeLRZDkSkaK1DBIRueqNeC7yeu23ruKumS3zpvi0Ge/FEeClEjCu/pbGbsyoOo0vnWBrexe8x6iSZ+mYk+KvoGZEWf57HgV7nQBfeUS7UctfUZSM4mV9myhRCruFogWzsQ7+tBueuF8USz+Ed5woL031sbN9Gmrg07ti75cqjbWJyyR4kW1s7E1F5Rl8XXsIWTQxuPBNRhY/R1nOuvT65qb7MA9R93lxqfgripJRvGbGhJqab3YSFp6wq+TN30NuEYy+2L/dhurm17OftMemuth71keVDTKnPZ7LqKEmcf0FL3omr2sYwPTKiXxTtz85Us/wohcZUTyV4uxNidtMljMfhKlXBiur4q8oSlqEQlH+Yw8R/fIlqFoHgydASVeX28cR7Q9vs8fRF8XWDYtytKCHaWpwCXc4zEOUFR7I8o8j/n6DxHHqr6ofxPTKiSyrH02eVDGmeDLDil+iMGtbgLZSJL9Up3oqirKDaKyBvOLItZfl/4wj6ks/gjMf8nf7RFvfNZvhlr7Qc6S/T72hOvZXQcpjCT4EsfwJB1sbzvTKiaxsGEqBbGFcyaMMLXqN/Cyfl1emiRF1n4FsXeGrKEpa1FdHiX8cCzpacBLNkAnH2lk5M365fx8cv93Guvj1E9EQ3/I3RvjWCba2tmEvirM2cHDp/QwufIPcrDTvHY1kx//edKqnoig7hIYqoKsrIY74l/dyiji/DqIt9HTDKmyP7hnVThDLPd6tfOrbYGsHUlF1Bhsa+1GWvZrDy+5mUOE7ZEuw2T9J85PPYe5kePfPPgWixd9vwFdDOiuKkg6JBNxNdr5TxhGkGLdPVFvT7slMn+oC+NnXzPXPixpvaDI5LKw5jBlVp7OlqScds5dzdPntDCz4oHncnZag8x4w4nv+4q8+f0VRdgjJxL7fPvDqY6E31Te/rngo2c54t1uX5o5WzlTPRpPHguqjmFE1gcrQbnTJWczxHW5hQP40RHZg8Ld4wh3Y56/iryhKsmxeFjlPZmXr9pW9PpZ/Y5T4J4sxsGEx/GtU8/Q0xb++3jCvagKzqk6hJtSRHrkLOLz8XvrkzWgp70l8vAZry3rb4/4/gFmPJW5j9/0z2ycHFX9F2VVpqIGHxsNJf7OzbLy4fd/IeYyfPgSPTIDvKmLrhaeE+vn8t6xIqcuum9tYPBmiNlTM3OqTmP3O8dQ15tM7bxZjSv5Oz9z5rSP6fQ6wRy+r/eCf2WOPYYnb+cH70GXvjHXLTUbEX0R+DlyG/S03F7gEKAL+C/QDvgXOMsZscspfC1wKNAFXGmP+l4l+KEq7YuVM+G46vHYtfD/AXrBeg7TfvONTOKyYPvPxHz8jmZ763CJ9Va5uKmd29SnMrT6eBlNEvy7LGBO6k255X6ffv1TZfRyc74Sm8Fq3kEzY6R7DM9MnD9IWfxHpBVwJDDbG1IjI08A5wGDgLWPMzSJyDXANcLWIDHbyhwA9gTdFZC9jUo0cpSjtlKRn2ESJTsWDrguh+WwT0+wQNB5OcqQu/tuaOjOzagJfVB9DE7kMLPiIUcVT6DJkKCxsReEH6Ng3MqXWy/LP9NqGFMmU2ycHKBSRBqzFvxK4FjjcyX8YeBe4GjgVeMoYUwcsEZFFwFjgkwz1RVHaGQFFNFp0Pr3b1YQ0f5lEx90PtcDMmBQGMjc3dmdm1el8WXM4IOxV+B6ji5+lQ85KW6CpBTZF/9GncPe41Op6PeNOYuemLf7GmO9E5G/AMqAGeN0Y87qIdDPGrHLKrBKRcBSoXsCnriZWOGmKoiRFmpa/G8lqnh89D78lBCsJt8+Ght2pqDqDRbUHk0UTQ4reYETx85RlRwVbS7TILBWKOidZwfVcnuLfSvsMR5EJt09HrDXfH9gMPCMi58er4pHm+a9YRK4ArgDo06dPeh1VlF2ZTd/azcsLyoPXibbW47qJov5bRkffbAm3z4ZFCYusbdiD6ZUTWVI3jhypYUTxVIYXTaU4e7N3her1me0jeAv4iPP9Z+p4RUV103u/zPQrTTLh9jkaWGKMWQcgIs8CBwJrRKSHY/X3ANY65VcArk046Y11E8VgjJkETAIYM2bMjt+ZWVF2Fu4YDh36ws/mBK8Tamh+nUyogRi3TwtY/l/5D1KvrN+HisqJLKsfRb5UMqb4vwwvfpmClgy2FuanM5pPQfX02zfEpnnhrttlL7j8bRvUbScgE+K/DBgnIkVYt89RwHSgCrgIuNk5vuCUnwo8ISK3YQd8BwKfZaAfitK22bzUO33Zx3ZXrm/ehaxc2Ge8TY9eiBXX3RAl/qEmqFwLb9zg1G15P7UxsLx+BNMrJ7KqYQiFWZs5oOQRhha9Rl5WsIBtGaFz1G5gXu6puL+E/Nw+stMIP2TG5z9NRCYDM4BGYCbWWi8BnhaRS7EviDOd8vOdGUFfOOV/rDN9FCUF3G6cd2+JhFgIb9fYFG35J/D5R5d95VewfFokbdXs1PsaB2OEJXX7UVE5kbWNAynJWs/BpfcxuOgNciXNxWSZwNPyjyP+4iP+yU5tLe2ZXPkkychsH2PM74DfRSXXYX8FeJW/CbgpE/dWlPaLS/y9hCVa/OO5brzEPzrC5r2HJte9BIRMFotqD6SiaiIbG/tSlr2aI8ruYu/Cd1su2JoXHfvZMRU/vMS/yad/+5wCR14fuc7OhYN/YfdBSGZ208QHYMARwcungK7wVZS2QHZubFoybp/ol8dHt6fdJT9igq3lLOPo8n8wsODDlg+25sX42+HRCf75QS3/nEI4+9HY9KFnOJvgJGH5dx4IRZ2Cl08BFX9FaQuEo3C6SUb86ysz2x8PGk0eX1QfzcyqCVSGutI1ZxEndLiZ/vmfpR5s7bRJ8NwV6XUskTvGKz5P0AFfIPCU3ESzhDKMir+itAWy82LTYnz+cdw+2fl2j90WoD5UwLzq45lVfSo1oQ70yP2Cw8vvoU/ezPQjPAw/O33xT2SRe1n+gyfA4rejEn1EPjw2k+hh3WM4LRTJ042Kv6K0BhsWw6K3YP84wvXJXdD3QP+gbW6xyPEQ/5ipnnEs0NLu/rOJUqQ2VMKcqpOYU30SdaaU3fNmMqZkMj3zvsjofdImoeUfJcQ9R8IeRwZvv8wZuN33zGQ6lUTZ1FDxV5TW4MET7NaHoy6E3ALvMv/7rT2GZ+/EI8vL55/EbJ8MCn9VUwdmV5/CvOrjaTCF9M+fxuiSyXTLTbyoKymOuiFDDaVg+Xu9MPxersVd4LrVkOPzd24lVPwVJdOsmmOtveIu/mVqnbj1tZuh4jnY///Si3LpNeAbPbunhQOKbWvq4gRbO5oQOexZ8BGji6fQOdfZU6DvwbD0w8zdML8sM+0ktPy98pP8W+UWJtePHRCHWsVfUTLNvYdASTf41Vf+ZcLW5Es/h4WvQLeh0P+QJG/ksjS9tj+M9vG3UEyZzY09mFF1OgtrDgcMexe+y6ji5+iQs6p5wcYduFArKZIVf/EW5+P/krEeqdtHUXZVKtf4530x1dlMncimKPEGY4OEbn7r97FpMfvuZlb8NzT0cYKtHUQWjQwp+h8ji5+nNNsnvs66OC/D1iSelT3m+z51nJd3XimcfDsMOS39GTrJhuhOExV/RWlpjIEP/m7ne3fqD09fEMlrcKxhr6maYb79ILX7Rov/0xdAURxXVEDWNOxJReVEltTtT67UMKL4BUYUTaUoO8HYREtZ/n0PgkHj4X/Xxi9X3gcuebn57mZAXCv7pNt8Mpw6WVmw78SgPQ2Oun0UZSdk1RzoNiS4pVe9Ad7+I8x4JDYw23bx95it466fCl4+/jSiXq6sH8z0yjNZXj+CfNnGfiVPMqzoFQqyAq4RSDUy6NgfAAY+m9Q8PWwpX/KKPYbFv+coWDkjth0BOnhEB/YS2nOegE4DvPO6D42kt9iUzJYX/5afTKoobYmVs6xP//1bg9f5zhGiyrWxeQ3V9hj9IvHcWAUbVuCp8+DGcv+QBCZzkTiNgaV1I3l2w008t/Em1jf244CSh7mw6xWMLXnaX/hLe/g3eloSe/ceeT2c+FcYdZFX76KuHcH09b37CapH+qCTYLd9YtMveQ1OuNVVJ4MirQO+irITs9WJPv7Zf+Cwq4P9J33Cmd/t5fYIW/5em6tvP3eJ3Nf/gy9fsuezn/K+X1ODnfefRrxEY4Rv6vanovIM1jXuSUnWOg4pncTgiy4gZ/LziRvIiePGSmaWTnh1reemKFHin5Vtf134zawJt9Ghb/OprckIbV9nY/bwAHu6lv/EB6B6Y3ptpIha/ooS5vP74b8XJC4H1n3iJ77xqK9uft0YQPzdoReCDAo21trjk+ck3b2QyWJhzaE8ueF2Xtt8NfWmiCPK7uT8rj9iWPGr5OQFtBf9Ap8B5Jf4542M+v7Dv4iCuNj6ObOlcou988NCfVV0dNIUrOzw3ydd8R96Boy93GnT9bfN83mGDKKWv6KEefkXicu4rcQAO1HF4DcoGU/8X7wqcu4WQb8XQe2WpMWjyeTwZc0RzKg6na1N3emUs5Rjyv/OngUfNw+2FlTsvH7llPWGrSu8Y+WE6R41GFvYMc59o57/7Edh4zfeq53B5acX7/R4DDgChkxw3TpD4u/FgT+1K65bGBV/RckkiSzzzcu906P9837TMrNyEpe5fSjs4RlNPYYGk8cX1ccys+pUqkJd2C33aw4qfZD++Z97B1tzC2WXvWC9z/TNhtrYtMvftuMUcWMMuRarjf8HjDjPuW8At09+KfQY7v8d+1n4QcT/wuej7t0C4h/uR58DMtdmHFT8FSUpEgzKJZpL7zfjJVoQl7zvc3u32MR50Sx+K2436kOFzK0+gdnVp1ATKqdn7nyOLL+T3fNmx9dC9/2PvB6evtC7XEN1bFppN/tZ+rF/++4wFe459snMofcTZF+hbkW3Tyui4q8oydBMGVMQfy9RhFjL/4mzvMs1s/yTXxRUGypldtV45lafSJ0poU/eDEaXTKZn3oJgDTTbmSqe8KW4YMkrTIXvvXzu4ff2OsJvHUAKfS3qbI8H/Dj5un7sO9FZ7T0kc23GQcVfUTJJtIhP/Wnz6wafhU41m6C+KrGvPqjlH0VVU0dmVZ3CvJrjaDSFDMj/lNElz7Bb7jeB24i5f0tYvVk+kuQ1TuD78vMR/yGneaeHUlj5nFcULOBeMgw9w352ECr+ipIUiWKyRwnJjEeaX9dXedd75iIo6wW/SBDu2N3+ttXxywJbm7oys+o0FlQfRYhsBhZ8yKjiKXTO9fOLJyCo+B/8c/jwH8m335KWvxen/Cv1xWe7OCr+ipIyxlqfbrFJ5PbxE3+Ard/Bx/+CcT+Kc8um5uV92NzYk4qq0/mq5jDAMKjwHUYVP0d5TuIXRlyCiH/YIvYV/zji7BWaGpLz+ScTOnnUhfCtE2l0t8Fw3jPB6+7iqPgrSlDmPwfPXBy5fv9Wu1XiMX+w7h7JSrywys/nH+b16+Ovjk3goljf0Hd7sLUcGhha9Bojip+nNDtAiIj8MqjbGr9MS7t9/MJcxJseGk1hB7j0DTvl9fGJMPjUyBqAMJe9HVlvELb8izpDee+ku7yrkhHxF5EOwH3AUOxvse8DC4H/Av2Ab4GzjDGbnPLXApcCTcCVxpj/ZaIfitKifH5/bNq0SVb8/9AJRl8MR98Yv414ln8Yv3EBgC9f9ExeXT+QiqqJfFs3llypZlTxcwwvejESbK3rPrAuwaDuWQ/Doz5+8TDNxD/FEATdBvvnZfv5/F33OuAn8Mmd8Qe8dx9rj79aBCVdY/N7j46ch8dp/MYb2iiZenXfAbxmjBkEDAcWANcAbxljBgJvOdeIyGDgHGAIcDxwt0gyr3VFaSW8xK6xJrI8v+KhADNwAgzSxhPViociLRn4rm4IL2y8kSkb/8qq+n0YW/IkF3a9ggNKH2seZTPIoq8g4pcJy7+gHH692KcPAdw+BeX2GGSDFC/hj2a7+LcvGUr7VSciZcChwMUAxph6oF5ETgUOd4o9DLwLXA2cCjxljKkDlojIImAs8Em6fVGUlsVHlP/aP3Keid2yZj4eN9sYWFo/iorKiaxu2IeirI0cWPoQQwr/R16Wx+IqsLNTEhFI/N3rHNKwHf3qBhnwPegq69cffUnq93dj2qfln4mnHQCsAx4UkeFABXAV0M0YswrAGLNKRHZzyvcCPnXVX+GkxSAiVwBXAPTp4xGKVVFaguhB3DBBxC4TG6Ys814EZYywuG4cFZVnsL5xD0qy1nJo2b3sU/gWOdLgWWc7BR0S39fP6nbj/g7Cc91Twc/KDjLVMycfDroy9XtHE/b5tzMHRCbEPwcYBfzUGDNNRO7AcfH44GU+ef4WNsZMAiYBjBkzZsduc6PsfDTWwc19YcJd/vOh66utOyCdkLihJm/fc5A204ik6dsdk8XXtYdQUXkGm5p2pzx7JUeW/Yu9Ct8jWwLer/d+sGBq/DJB3B5u8Y+Ow5MM8Sz/C56DvBLv8i0h0L3G2OPYyzLf9k5MJsR/BbDCGDPNuZ6MFf81ItLDsfp7AGtd5Xd31e8NrMxAP5S2TuVa62N//QZv8d+4BP45ws7dHuUTdiAIftb7jrL8HZpMDgtqjmRm1WlsbepO55wlHFv+N/Yo+KR5sLUg7HumjQ763i3+ZeK5PXqNtm6WZFw9FzwPMx+DeZNj8/xEPDsP9jjSo7xz3yB+/mQp65H5BVu7AGkP+BpjVgPLRWRvJ+ko4AtgKhDegeEi4AXnfCpwjojki0h/YCDwWbr9UNoBYcvbT2BXz7XHha/F5r17M7z1x9j06Q/C6nnN03wFPIDlv8q1U1cqK0eBhlA+s6pO5tF1/+a9rT+kIGsrJ3a4ibM7/4KBhR8lL/xgLepEoQjiif+ZD8GoC2LFP2z9e8Xo3+MIOO3f3u35vUT8+pCTB0dcb6dwKhkhUyMcPwUeF5E84BvgEuyL5WkRuRRYBpwJYIyZLyJPY18QjcCPjWmB38pKGyQsvh4eQGPgnZvsuZd1+K6zu9NR/695+ks/s0e35bf4bRh0osftA9hKT30vcp7kytG6UJENtlZ1MrWmnF55czmq+J/0zpuT/sZOkhV/q0jwH2wN14dYi/3CqbBpif1lcGN58Db9XEzx+nDYr/3zlKTJiPgbY2YBYzyyPOPKGmNuAm7KxL2VdkQ8y79yLaz70p7nFcHcyTDlUvjNEijqlNx9nvoeXPyKfWGc/h/rFnDfPyihBIOwDjWhUmZXnczc6hOpN8X0zZ/O6OLJ9MhbmNz94uEl/jmFcO5T8Mip9jquzz+8YXmUZBR1Sv77hdiXSFaOfVkGGXRWMkL7mtuk7NqERT+RXz23GKY57ob1X0Of/b3LzXjUv43PJsG3H8Cnd8Gxf7JpyU5tbKqPm13V1JGZVacyv+Y4Gk0ee+R/yuiSKXRNNthaECQrVtyz85o/k1t4+xwAy1yzr8MvPr9FWPH46Yzmu5G52wsT/pUUz/JXMoqKv7LrEJ5D77WQyi0muYURIYsnwFN/4p8X/hWx6Vu7JWFTXfIBwBq97721sSszqk5nQc1RGLLYq+B9RpU8S6ecFcm1nwxeL67snOYWeNxw0T6WfxA67+HRH59fUe1srn1rot+0susQHhrytPyjFh+FLciArpcYwuK/4EV45ZfNVtYGJurFs6mxFxWVZ/BV7aEIIfYpfJuRxc9RnrPGv40+B/rO+08KL5dOdl7z9HhjAuGXR0u7ZRKNSygZQ8Vf2Tn58mUo6R4VgyUs+gFCKIRFJN5G4m7e+oN/3twpwdqIxhH/dQ39qKiayOLaA8ihgWFFLzOi+AVKsjcmbmPo6ZkR/7B4H/prG5AO7AvS/Ytgu0tHYt0vEsDy7zwwEnohVdTts8NQ8Vd2Tp461x6v/Q7+fRBMuAeKutg0L8s/Om27+Mf3u2/ng7+n1s84rF6yjembrmNp3RjypIrRxc8yvPhFCrMSRM50k8JuXZ6E3TtjfxAR/6zcKLePI7wiHmGRA/j8fzo9/X6q22eHod+0snMw/UE7a2Twqc3TV86wfve3b4KT/mbTvATRLf4mFBGpoOKfIYyB7+r3ZXrVmXx330YKZC/2L3mcfYteIT8rQThnzwZDcOLfYOVMmBU/5k9ctrttotw8We4B36gQCs3qp+HzT4a057QqQVHxV1qeV6+BFZ/D5XE2FQ/Pt//hJ81D/tY68+8LyuMP+LrFv6khYsVOviT2heLXhi+JyxoDS+vGML1qImsa9qYoayMHlT7I4MLX/YOteZFXCvXbmt977OX2BkdeDy//Cha+nETfHcIi7xbXaLfP9nMPy7+lff4d+9v1AsoOQ8VfaXmm3RO87D0HwDlPRK63i3+ZK25OAvEPNTYfOAwP3rppSnEgOIqQyWJx7TgqqiayobE/pVlrOazs3wwqfDtxsDUv8oqbi3/4uUSgrCdMvB9u6p56h91unhNv9Q+zkOuzG1ZLWP65RXDZm7B5aebbVnxR8Vdahud/BJuWphZ9MezvBx/LP4HPP9TYfOBwyuWx5ZNxB3n8Smgy2XxdeygVlaezuak3HbJXcFT5PxlY8H7wYGteRItu9L3TjW0Ttvxzi6HPOFjr2uAlK8cGVDvmD7D2C+96WUmudQjCdavssbhL5ttWfFHxV1qGsH964NHptVPnLA7KK3Et8grg9nGLf9Xa2PIpjgU0mly+rDmSGVWnsa2pG51zlnBch1sZkP9pajF3oom2rDMYKM4SFSIjemeu3zr7AocHhf36pezy6F9UaVlyA+wgFY9Gx1+eUxB/hW+05e8esKxaF1v+6WSifhoaQvnMrzmOmVWnUh3qRLfchRxa+h/65lekP0b5kwqoeNBuTRgjshmOZL49REZY/H3cPgdeBfnl8KoTTyc3wGYwqRC9t66yw2iB33BKu2LWk5FtDL2I56ZY/rkNBvbRP/3LhC30nLyI26epDp46D6rWR8q5fw18/QYJI3B++0H8fIe6UBHTt0zgkXWT+GjbJXTMWcGpHW/gjE7X0K8gA8IP0GVP6DrInkeLcaYt//CAbW8nFJefGycnD/a/wlWvBeLoX7fGhn1WWgW1/JXUWb8Inv8/e375O9BrVGyZeNsH3u+4hN74f/5lGuucE2m+UcqXL0Gn/tD3IPhiqp0OGqZqbXpbDAI1oTIn2NoJ24OtjSmeTPdMBltzsz12TtRsmkyLf06e/Vt13tO5byvaf36DysoOQcVfSZ1G1xTG/xzhvSFGTpoDlOF7mFDs/rgf/8t+vEjRJK9s6sSsqlOZX3OsDbZW8Amjy16ia5bHjKFMEv7lsttgWDUrkt4S4ux+SbezrQuVCCr+ShoE8EenK15ht48JJbFFohBo4xUXWxt3c4KtHbk92Nrokil0zPnOjjckGdMteZzvMisLOvS10x677AVjr4hfLV1awp2j7BKo+CstS7OB2FDyUwXDbh8TSsIF4rMBO9itHjv1j1w29mZG5emuYGtvMar4OcpyXDOEMj7jxkVeafN7SBbbXwQn3Wbn/adDj+GwarZ/fqov5/6HpVZP2WlQ8VdSJ8gq2Wbi3wBZ+f5lvQiLf82m5LZF9BPspy+AH3zAuob+VFROZHHdOHKknmFFLzGy+AWKszfF1ol2N6VLSXeoXG3Pr5rdvL+SFfle/azy0ZfY2UFBOPPhZi+7GFJx+9ywScMwtAFU/JU0SFL85z4DgydAfknwW4R9/p/caQd3g+Ij2KtW5VDxr5ks3XCbE2xtihNszVlV26EPIM1Xm2Z6l9Effgy3DrDnxZ2de7gtfwc/YR7/j4j4H3E9rF9oZ1XNeCS2bCLLPpHb5+fzY1/yLbHQS9nhqPgryVFfbcWm58hg7hB3mRd+DEveh9MnwevXB7vfN+9EzpNZmPXZvZEuGFhRP4yKqol8V78vBZXb2L/kMfYtejU22NqQ0+Cbd1s21EBY8N0Y16Kr7Za/z39Pt9Ud3td2RUVq4p/Igi/vHT9f2WXRV7iSHC/8CCYdbufYB3GHRL8gtq60R79ZOvGY+0xSxY2BJbVjmLzxFqZu+j2bG3tyUOkDXHjNAMaUTGku/IPGRyrlJfHLxK/skR7TV3cfF6ez4e9JIufJWNhuDQ+PI0Biyz5cNt3FeMouR8bEX0SyRWSmiLzkXHcSkTdE5Gvn2NFV9loRWSQiC0XkuEz1QUmBZ6+wm50HZfnn9thQHWxbwzlPN78Wgb96bOsXhC9fClQsZLL4uuYg/rvhNl7ZfB21oTIOK7uHC7r+HyOKXyRX6mIrlfWMnCczyHrhC97pB/88Nu38KXDlLO/yXgO+SfnjHfUv7go/m+OKzZ/gv3h2jo2kevnbSdxLaQtk0u1zFbAAKHOurwHeMsbcLCLXONdXi8hg4BxgCNATeFNE9jIm045VJRBz/ms/+04MWCHs/5Vg4v/Vq82vJRuq13uXTZMmk81XpT9kxpJBbG7qRcfsFRxdfjsDCz5oHnfntatjK28XWpNcKAPfvWg9hDu/JDLe8bN5zRd0haOQ5hUldvt49sMR+dIedl+Eos52UDnI38gdQltpN2TE8heR3sBJwH2u5FOBh53zh4EJrvSnjDF1xpglwCJgbCb6oewAtvumJbWwyC0wS6TR5DK3+ngeX3c3by86ihyp47gOf+V7Xa5k78L3YgOuLXoztpGwWBuTnOWf6lTJDrtDqSs088gL4LCr7TaL290+SVj+0TF7jrjWHtPdVlFps2TK8r8d+A3gcjbSzRizCsAYs0pEdnPSewGfusqtcNJiEJErgCsA+vTpk6GuKplBMj8FMknqQwXMrzmOWVWnUB3qRPfcBRw6ZCZ91/472Dvm8N/Cu3+2526hTcry9xDo858NXj9MTh4c8VvnIg23T7ju6IvtR1F8SNvyF5HxwFpjTEXQKh5pnnMGjTGTjDFjjDFjunbtmnIflUzi+lOFoiz/G8th2qTM7TvrQ22omM8rz+KRdZP4eNvFdMpZzoSO13N6p9/Sr+vq4D8uBh4TOXdb8MnEzPey/LsNCV7fi0Tz/D37EWX5K0oCMmH5HwScIiInAgVAmYg8BqwRkR6O1d8DCC+ZXAHs7qrfG1iZgX4oLUV9tRVEEZe4GG9/8qu/ho/uaJFuVDeVM7v6ZOZWn0iDKaRf/meMLp5M97yvI4WS8ZO7LXy3lR29f208WiLOfSpun2jLX1ESkPa/XGPMtcC1ACJyOPArY8z5InIrcBFws3MMT4uYCjwhIrdhB3wHAp+l2w+lhahcB3/bE7rvC50Hsl1cTMh/MHHrCv/2lk1LvgtNnZlZNYEvqo+hkVz2HNmZ0dn302XFo7GFkxFMd1RJt8/fvQVkMm1kjABunxHnwd4nRq7V8leSpCUXed0MPC0ilwLLgDMBjDHzReRp4AtsuKwf60yfnZgty+xx9Vz7KXaGbkwIvno9+fYaqoLfurE7M6pO48uaIwBhr8L3GNX1Azr+4H2YfQh4iX8yA7DZLgvfLbTJiH/0RufgPWCczOrkILN9JtwdlaCWv5IcGRV/Y8y7wLvO+QbgKJ9yNwE3ZfLeSpq8cYPduzUav3g6oSaY/YR3XppsaNidGVVn8HXtwWTRxOCiNxlZ/Bxl2esgr5st5BciIinxd0213F7PZfnnFEJjTfw23OJ/w0a753B+aWy585JYoJaSz9/pf0sGoVPaFBreQbF8dIeP+Ee7dhxheviUjHdhbcMAKirP5Ju6ceRIDcOLXmRE8dTmwdYSWsVJTCV1i6t7NW34pTD8HLtS94HjYMPXeJIT5Toq6uRdLqnonB776yZCA60pSaLi35YI++dPu9cKVyKC+Ie99r8F69cv6QaVa5Lrowcr6/ehonIiy+pHkS+VjCl+muHFL1EQDrbmJqXBUB+y3Ja/y+cfHvBtarBxeOK5X5IZHA5KKpZ/dF1FSYCKf1tiwyJ7nP5AZsQ/FLIhkJuluYZnynqmLP7GwPL64VRUnsnKhiEUZm1hXMmj7Fv0KnlZcVwt28Mg+AhjMhaw2+2T5VrhG3b7NDlhIOKJf0tY3F4RPhPhdlspSgBU/NsS2/2+AQUgkX/YvU1jGLcbqNZj28ZEtzTCkrr9qKiayNqGgRRnrefg0vsZXPQ6uRIgaud2yz9AxMtEuNtwv0zCLppwfnaC/yZ7HAmLMxkbxxVCIzDh2T7q81eCoeLflkh60M/nJXHnftadcZFHILVm4r81cNdCJotFtQdSUTWRjY19KctezeFldzOo8B2yJU78mWjXUsJwxz7Wcn6ZdYc99b1Imtut4n5p7HUCHPJLOOAn8e8V5txnkgs3nYgLp8LMR5MbJyjvDYWd4Ng/Za4fSptGxb8tERa+76bDB3+3AuZF5VobzdNvxsz6r+zRS9AaXGGQA1j+TSaHhTWHMaPqdLY09aRjzjKOLv8HAws+jI2540WMeyfFAd8ffQoFZd55zZo31tI/6oZIWiLxz87x/nXww0/gngMS3zOa3fezn2TILYCrlyR/L6XdouLflnDr3lt/gP0us4nRovfCT5pvkuJHo0foYzfR4R3cVU0eX1Qfxcyq06gMdaVrzmKO73ALA/KnIeL6xeHe0tCLpqg+JIp177bgfzYPbh9qz0t7xLbVvGL4BrFZqa7i7TYYug+D1XNSq68oLYiK/67AvGfh3b/Aj6Yl2OAjyuq92QmGd2OUhR5v7rp7vCAFV0Z9qIB51cczq/oUakId6ZH7BYeX30OfvJne7nj3oCvAvmfChsWwcobTh6gXTEKfv+v76eCKIpKVBSbFgdvoe3UdBOu+9C/v5vuvQZ3HrCVFaWVU/HcFnr3CWtlNdZDlCjo29UrYvAwufN5e+/m7Jx1hxfTQX8OR19utFP1ocL0YEln+LmpDJcypPpE5VeOpM6XsnjeLMSV/o2feF/ErxkxnFJpZ39F9SCT+0S/Aos5QvcHJCjB10muwvENURNkfT7NB7IKQV5zkHH9F2TGo+O8KhN0r0QO5M5ztEh44Hk6+A98B3LAV/ek9Vvzj4Z7hE8Dyr24qZ1b1KcyrPoEGU0j//GmMLplMt9xFCesCzefag7XA3dNJo/uQaMC330Hw+X8i1//3kX1BQsBfTR7f4XE3wYDDYfIlceoryq6Fiv+uhF/8/GWfwOv/Dw732KEqpo04g6wNtc3dLHHEf1tTFyfY2tGEyGHPgo8YXTyFzrnLEvfBTbTbx72HLRAjxuEwUH7inx81vlHWw34SER789grNkF8KQ09X8VfaFCr+O5KmRhvYrKAcPrjNph3yi/h1Zrni55gmK/Jr5sPit5qXq6+ML+yA3YAlzu5brzk7SYXxcPtsbuzOjKrTWVhzOCDsXfguo4qfpUPOqgT39iHa7SNZ8aeqJloAlerOWsPOtu6h/S5Lrb6i7GKo+O9IXvqZnb99wyZ46/c2LZH4f+7aGbNyHXz8T+9y9ZWJ5/cn2npx9bwoyz8i/hsa+lBRdQaLag8ii0aGFL3OyOLnKc1Ocz/eaAs+2u0TjZ/bZ8ARMPL8iPgnO0MnKxsO/Gn8MiPO94/xoyi7GCr+O5LZT9pjkE21w7gHIONFvl63MMCskgSWv2TBU+dGrhvrWdOwJxWVE1lStz+5UsOI4qkML5pKcfbmIL1PTLTPH4n/nH7z/MOD3t9+6NNuBphwV+bbVJRWQsW/JdjynfUTR8+vD1ulbvH/Q2cY83048VafxtziH8eyb6yFx8+I36+6LbAtTiyerGxYa2fnrKwfzPQp2SzfcCv5so39ip9iWPHLFGRVxr9HssT4/Am2N3CiqZ4tscNWNHk+i+QUZRdAxb8l+MdgKOsNv5jfPH27+Lus71AjfDYpjvjTvGy63L2/b5Yhm2V1I6monMiqhsEU1jRxQMnDDO21kLwtC9K/txfRPnohYvmX727dYq9eY1+m1S4Xk1/Ey/B0zrgze4BfBZyN5Mclr0LHfum1oSitiIp/S+G5laEznTCIZRum2aKrDIi/5y2EJXVjmT7/PNZVdackaz2HlP6HwacdRc7rz8Oo6+GdFooZEyP+WZFnvuQVO8d+9CVQswn+2j9Szk/8i7vYY6LQEyVdU+tvmL4HpldfUVoZFf8diZfbJ8zaL2G3Qc3T1i2EVbMi1/H89SkQMll8XXswM6rOYGNjH8oLNnFE2Z3sXfieDbZmnLg0hR0yet9mlPWMSnAN+Ia/L5HYrRX93Dox7SmK4kWK8+KUGLZ8B6sSxHAJi5nXjBsvd8xdY5tfZyhyZJPJYX71MTy+/k7e3PJzAI4p/zvnDnuQwUVvRaJshlf7FnTIyH096Tkqct57P+vm8YrZHz024M4rdO2eleusgB5+Loqi+KOWf6b4x2B7jI6j4yYcPyZV332a4t9g8vii+hhmVU2gMtSF3XK+5qAOf6F//uc22JpEbTLeUG03Oc/12KQ8KEWd4aS/wzMXx+Z1GwrDzoJXnbUFl71pjybK8ofY2Tvhl8Gwc2D8P5rn3bApsc9fUdo5af8PEZHdReQdEVkgIvNF5ConvZOIvCEiXzvHjq4614rIIhFZKCLHpduHFqexzkbC3Bq1kGnTt7AmKnaN2/qf/ZSdmx8mqPhvWmrbjiZFn399qJCKytN5dN0kPtx2GWXZazi5441M7PwbBhR8FomyGR3XpqHGWtLZSW5VWNgJDrrKnhd1bm7dhznierjsrVh3DsC4H9pjgSt+znYxd77DrGz47UqYcDfkFTWvn4zwX/EufO+/wcsrShshE5Z/I/BLY8wMESkFKkTkDeBi4C1jzM0icg1wDXC1iAwGzgGGAD2BN0VkL2PiTu5uXRa8aBdnNVTDxAci6XcMt0e3tX/vIZHz534AvcfCZW/AttWRQchE4n/HMO/0JC3/2lAps6tOYm71SdSZEvrkzWB0yWR65gWcuVNfCblFkOMh0PHoMQxGnGc3hQfvVbfdBttfFF4vtEN+6b0XwQm32tg9YVIJmDbgcPjm3ch1z5HJt6EobYC0xd8YswpY5ZxvE5EFQC/gVOBwp9jDwLvA1U76U8aYOmCJiCwCxgKfpNuXFiMc5sDLSk1EOFb93/eOpKXq9gk44FvV1IFZVacyr+Y4Gk0hA/I/ZXTJZHbLXRy/YvRm5Gu/gC57Jm/5uzdCAW/xD/v1E22R6Gb/K5LrhxfnP6tbHSoKGR7wFZF+wEhgGtDNeTGEXxC7OcV6Actd1VY4aTsv4fj3OSn4vr2EL16IhXgkqLe1qSvvbb2CR9fdy+zqkxmQ/xnndL6SEzreEl/4w9sVdhrQPH3jEuiyd0QsizrDWY8m7mev0ZFB2D2P8f4Okpnumkmysr0XlilKOyNjA74iUgJMAX5mjNkq/ptjeGV4xiIWkSuAKwD69OnjVWTH0OCEOU5F/ENN8M6fY9P8iOfX9xH/zY09qag6na9qDgMMgwrfZWTxs3TIibNDlpuCcjt7ZtEbrrQO9hdPboHdHxbswG23IZEyp02C53ys8ZKu8PP5dqeucDx9Nzuxl09R2gMZEX8RycUK/+PGmGed5DUi0sMYs0pEegBrnfQVgGuLJXoDK73aNcZMAiYBjBkzxidY/Q4gHOM+lVkvW5bDe7c0T/Nz3yz5AB4e799WlM9/fUNfKqrOYHHtgWTRyNCi1xhR/Dyl2R5iGw9jrBiH496DEwSuzrp8OvaFGzZaq3mjs09sWS8Yfja8cYP/Nozhl4bXgqyEEUgVRWlJ0hZ/sSb+/cACY8xtrqypwEXAzc7xBVf6EyJyG3bAdyDwWbr9yDgNtdYHLhLx+Yct//oq2Lzcv24i/Hz+cxLMOvn8fgBW1w+komoi39aNJVeqGVn8AsOLplKUnXhD9cDUbLLH8DhAWMA79IVjb4LBpzgFXe/kY2+Cfgd7NObxY8/td//NEvXDK8oOJhOW/0HABcBcEZnlpP0WK/pPi8ilwDLgTABjzHwReRr4AjtT6Mc73UyfravgtkFw4t9g7OWxPv9/jYZtKcavB3/x93KPOBgDK1fA9MrfsaJ+BPmyjbElT7Jv0csUZFWl3hfbevPLrJxIH6P941lZcOBPXFVdot1rNPQcEdu8lwvQ/Scv6hSbryhKi5KJ2T4f4u3HBzjKp85NwE3p3jstqjbArQPg3Gdgr2Ob54WFfeajjvg77pawFZyO8EOkvZg+xcbGNwaW1Y9ygq3tQ2HWJg4ofZihha+Rl1Xr0UgKRM/vzy2Cuq32PNFMH3ddr12w/GitAV9FUYD2vMJ3tbMY6+N/xop/eP54nRO+OGwFr/8K7j4g/Xs3+oi2K90Y4Zu6/amonMi6xj0oyVrLoaWT2KfoLXIkM2EeIjeLcrm4Z+ck2hnLXTcZ8d/JfuwpSnuj/Yq/m7pt8JfeNoLkVXOap0NE/Kc/EFs3FcIxc6JZPccJtnYIFZVnsKlpd8qzVzYPttYiRFn+tZsj54nWFgQRfy+3j1r+itKqtK8AKMbAvCnW7RIWJBHY4oRf3rzMujvCwlTvWP6JrFRjbOz5oNTHbogSCbZ2F29u+RlZ0sSx5X/n3C4/bR5srSUwBgb5zDLy2Mc3pm6Y6M3TwxR2tIPBYYafC8O/l1wfFUXJKO1L/Be9CZO/Hz82fagpYuk3VEfS4mFC1k8eFJf4N5g8ZleN59F19/Du1h9RkLWNEzv8mbM7/4KBhR+SJSnOghlyehKFTeyq3DAJF6S5xD/eal33IPFp98TG41EUZYfSvtw+1RvtceuqqEFOl1si1BRr6ScKx9BQHZkaGYS6SupCRcyrPp7Z1adQEyqnZ+48jiq/k955sz29JElz8M9h/rPeeSffYXfHGn42VDxkv4sue3mXDer2OSHATmSXv61bHyrKTkL7Ev+wlTr36YjYLf8cZj0WKRJqgA+jQgQnsvwfPxOq1sYv41ATKmXOrN2Ys24S9aaYPnkVjCmZTI+8LwM+Q0A69ffPG32x/bz/NyfBWPfXLxfCa9fCxsWwarbNSuTOCr9ERwSIn99rdOIyiqLsENqH22fFdLixPOLbh4jrp7EGPv5XJL2pHr54oXn9RD7/ZYlj0lU1deSjrRfxyLp7mf7VHvTOm8OZnX/JyZ3+lLrwd98XOu/pnZdTAGfcb+Px+DHiXOjY326TCFDaHc58MLKe4fDf2pdEPC54zkbwTCXCpqIorUb7sPw/v88e3/5j4rLRPm5j0pqZsrWxKzOrTmNBzVGEyGZgwQeM3nsZndY8l3Kb2+k1Bk6+3b7YopFs2Hei/Xjlg93y8KpZsenhMBJ7Hu09U8dNn/3tR1GUXYq2L/6hJhuOISjRMfPdA8BJsKmxJzMqz+Cr2kOxwdbeZlTxc5TnrIE1STfnTbw5+OkMHIQXoWn0S0Vps7R98X/+h7BgavDy0eJvQsHFv/+hrP9qGRVVZ7Co9kByaGBo0auMLH6BEq9gaz2GR3zrqeAn8IPGpyf+TVErmhVFaXO0ffFPFCwtmhi3TzDLf3X9XlR8OYFvN/UnV6oZVfwsw4teih9sbeQFicW/sBPUbPTO231cbFrH/nDO4wn7G5emNDavURRll6Dti3+yRFv+q+fBtx96FjUGvqsfyvSqM/mufhj5ObWMLXmCfYteCRZsraynHVCteMi/TM+RsPit2PQLnoM9jkzcf4jdujARA46AGQ/bxVmKorRJVPyjiRbP+4+OKWIMLK0bTUXVRFY3DKIoayMHlj7IkP07kjfvmfjtjzgPZjmWeVZObFC12Lt5J3f0mcrpFTfoguft8fcdEtzL4cS/2T10CwOWVxRll0PFPxq/iJtAyGTxTd04KirPYH3jAEqz1nJY2b8ZVPg2OdIART+I33ZZbxh2lkv8s/EV9zB+LwevDVL6HACH/Co2PVn/f06e3cBFUZQ2i4p/NE+eHZPUZLL5uvYQZlSewaam3nTI/o4jy/7JXoXvky2uaaAFPrFtwog096NnBfn6fcTfPf30R9Ps2MHw2L4riqJ4oeIfh0aTy5c1RzKj6jS2NXWjc84Sji2/lT0KPvWOuXPQz+D9OGEOjGkeHz+I26frIOi0B0y3u3ix90l2O8kOrj2NdxtkP4qiKAFR8fegIZTP/JrjmFl1KtWhTnTLXcihpffRN3+6vweloBzyE8WtMc3nzgex/EddBN0G23AUr11tffG9NUyCoijpoeLvoi5UxNzqE5ldNZ5aU06vvLkcXXw7vfPmJnabNwVYC2BCzefOZ+UQ1+c/aLwVfoBx/2c/iqIoGUDFH6gJlTG76mTmVp9AvSmmb/50xhRPpnvewuCNxFsLsPv+sHyaFf9mPv/s+OO9LbGpuUbVVBSFdi7+VU0dmVk1gfk1x9Jo8tgj/1NGl0yma+6S5BuLF/o4HOvfmOQGfDMt/lcv9Z4lpChKu6Ndiv/Wxt2YUXU6C2qOxJDFXgXvM6rkWTrlrEhc2Y94Qh32GXm6feKQ6a0Odd6+oigOrSb+InI8cAeQDdxnjLm5pe+5sbE3MypP56vaQxFC7FP4FqOKn6MsJ1gs/rQxIY8B3zh+n5Zw+yiKotBK4i8i2cBdwDHACuBzEZlqjPmiJe63rqE/FZUTWVw3jhypZ1jRy4wofoGSbJ+YOS1G1FTPnPz4Uz01to6iKC1Ea1n+Y4FFxphvAETkKeBUIKPiHwoZXt10Ld/WjSVPqhhdPIXhxS9RmLU1czfZ52RY8GKCQi63j1vQy3rFFh1zKex9gt0gZn+d3aMoSsvQWuLfC1juul4BxOwIIiJXAFcA9OnTJzo7IVlZQln2WvYveZx9i14hP6s6eOU+BwTaoYtT72ou/t/7Lyx5Dz69O5K23ecPZLli8HuFdxh/mz0OPCZ4XxVFUZKktbZx9Jo1H+P/MMZMMsaMMcaM6dq1a0o3OuTgSsaUTE5O+CF4LPv8qJAOex9vfw14EfbhH/pruPhlez5ofHL9UhRFyQCtJf4rAPfO4L2BlS1yp/6HplYvO4H4H3YNXLvCO2ia71x65/125PXQ72B7vs94+H8eG70oiqK0IK0l/p8DA0Wkv4jkAecASWy3lQSpzpjJ8RhsPfrGyPkR10J+qT3v2N9uzBImZjNzl8/fi2zH+xbeOF1RFKWFaRWfvzGmUUR+AvwPO9XzAWPM/Ba6WWr1oi3/MZfCyAvhzRtjy0Zvgh5+KUQ64RzivIiu/tZuuq4oirIDaC3LH2PMK8aYvYwxexhjbmq5G8UR3D2jNmrpsnfk3MvnHzQufozbx6kXdvV4UdgxcUhoRVGUDNFq4r/jiGP5N9XD+VOgoIO9nnB3ZAA3JgyCCR4aIbew+fW+E23M/bMeCVZfURSlhWn74R3iWf6N9db677wHfFdhXUR+5ZsaQAK+K0Xg7Megx3Ao7Rnx6SuKouwktH1Viufzb6pzTsLuHLf4R7l4ajYl55P3m+6pKIqyE9D23T7xxD+8X++hv7bHLntFykf792s2Rdw+vcZkto+Koig7mLZv+cf1+TuW/97Hw41b4pfPK7aDwBe/DN33zWgPFUVRdjTtwPL38OEf8BN7DFv+Qcqf6oRr6Hew3bJRURRlF6Z9iv+BP7VHr4Vc0eVHXgDH3QQlqYWXUBRF2Rlp+24fL59/STc46gYYPMG/fHiRV8xqXUVRlF2ftm/5e0XHFIFDfmmneEbTeU97HH0xHHglHHFdi3ZPURSlNWj74t91b7g+iZ26xt8GR/8edtsHjv2jrrpVFKVN0vbdPhB8cRbYAd14YRgURVHaAG3f8ofkxF9RFKUd0D5U0S3+u49rvX4oiqLsJLQT8Xet1r3gudbrh6Ioyk5C+xB/N3lFrd0DRVGUVqd9DPgCnDcZ6ra2di8URVF2CtqP+HvN91cURWmntD+3j6IoiqLiryiK0h5R8VcURWmHpCX+InKriHwpInNE5DkR6eDKu1ZEFonIQhE5zpU+WkTmOnn/FAm6K7qiKIqSKdK1/N8AhhpjhgFfAdcCiMhg4BxgCHA8cLfI9j0Q7wGuAAY6n+PT7IOiKIqSJGmJvzHmdWNMo3P5KdDbOT8VeMoYU2eMWQIsAsaKSA+gzBjziTHGAI8AE9Lpg6IoipI8mfT5fx941TnvBSx35a1w0no559HpnojIFSIyXUSmr1u3LoNdVRRFad8knOcvIm8C3T2yrjPGvOCUuQ5oBB4PV/Mob+Kke2KMmQRMAhgzZkyczXgVRVGUZEgo/saYo+Pli8hFwHjgKMeVA9ai391VrDew0knv7ZGekIqKivUisjRIWQ+6AOtTrLuros/cPtBnbh+k88x9vRLTWuErIscDVwOHGWOqXVlTgSdE5DagJ3Zg9zNjTJOIbBORccA04ELgX0HuZYxJeRNdEZlujBmTav1dEX3m9oE+c/ugJZ453fAOdwL5wBvOjM1PjTH/Z4yZLyJPA19g3UE/NsY0OXV+CDwEFGLHCF6NaVVRFEVpUdISf2PMnnHybgJu8kifDgxN576KoihKerSXFb6TWrsDrYA+c/tAn7l9kPFnlsgYraIoitJeaC+Wv6IoiuJCxV9RFKUd0qbFX0SOdwLLLRKRa1q7P5lCRHYXkXdEZIGIzBeRq5z0TiLyhoh87Rw7uup4Btrb1RCRbBGZKSIvOddt+plFpIOITHYCKC4QkQPawTP/3Pl3PU9EnhSRgrb2zCLygIisFZF5rrSknzGtQJnGmDb5AbKBxcAAIA+YDQxu7X5l6Nl6AKOc81JsUL3BwF+Ba5z0a4BbnPPBzvPnA/2d7yW7tZ8jxWf/BfAE8JJz3aafGXgYuMw5zwM6tOVnxoZ7WQIUOtdPAxe3tWcGDgVGAfNcaUk/I/AZcAA2esKrwAlB+9CWLf+xwCJjzDfGmHrgKWzAuV0eY8wqY8wM53wbsAD7n+ZUrFjgHCc4556B9nZopzOAiPQGTgLucyW32WcWkTKsSNwPYIypN8Zspg0/s0MOUCgiOUARNgpAm3pmY8z7wMao5KSeMd1AmW1Z/P2Cy7UpRKQfMBK7YrqbMWYV2BcEsJtTrK18F7cDvwFCrrS2/MwDgHXAg46r6z4RKaYNP7Mx5jvgb8AyYBWwxRjzOm34mV0k+4xJBcqMpi2Lf1JB5HZFRKQEmAL8zBizNV5Rj7Rd6rsQkfHAWmNMRdAqHmm71DNjLeBRwD3GmJFAFdYd4Mcu/8yOn/tUrHujJ1AsIufHq+KRtks9cwAyEigzmrYs/n7B5doEIpKLFf7HjTHPOslrnJ+COMe1Tnpb+C4OAk4RkW+xLrwjReQx2vYzrwBWGGOmOdeTsS+DtvzMRwNLjDHrjDENwLPAgbTtZw6T7DOmHCgT2rb4fw4MFJH+IpKH3Vlsaiv3KSM4I/r3AwuMMbe5sqYCFznnFwEvuNLPEZF8EemPE2hvR/U3ExhjrjXG9DbG9MP+Ld82xpxP237m1cByEdnbSToKGy+rzT4z1t0zTkSKnH/nR2HHtNryM4dJ6hkd19A2ERnnfFcXuuokprVHvVt4RP1E7EyYxdj9B1q9Txl6roOxP+/mALOcz4lAZ+At4Gvn2MlV5zrne1hIEjMCdsYPcDiR2T5t+pmBEcB052/9PNCxHTzz74EvgXnAo9hZLm3qmYEnsWMaDVgL/tJUnhEY43xPi7GBNiVoHzS8g6IoSjukLbt9FEVRFB9U/BVFUdohKv6KoijtEBV/RVGUdoiKv6IoSjtExV9RFKUdouKvKIrSDvn/7AbENYEZWXkAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Define X as a linear variable over the range [0, 1000]\n",
"X = range(n)\n",
"\n",
"for noise_level in range(0, 100, 10):\n",
" # Define Y as X + (noise_level * noise)\n",
" Y = generate_noise(X, level=noise_level/100)\n",
" c = corr(X, Y)\n",
" plot(X, Y, corr=c, title='Noise level: {:2d}%'.format(noise_level))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And this is how our reference series relates to a series with completely random values."
]
},
{
"cell_type": "code",
"execution_count": 205,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"X = range(n)\n",
"# Define a Y series with completely random values\n",
"Y = [randint(0, n) for _ in range(n)]\n",
"c = corr(X, Y)\n",
"\n",
"plot(X, Y, corr=c, title='Y series: random values')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that a correlation score of zero in case of complete independence (and a score of one in case of complete functional dependence)\n",
"are convergence limits when $n \\rightarrow \\infty$ - i.e. $\\xi(X, Y) = \\xi_n(X, Y)$.\n",
"\n",
"In other words: the more samples, the more accurate the coefficient.\n",
"\n",
"An impressive achievement of this technique is that it can detect functional dependencies between two variables even when their associated\n",
"functions have opposite slope - an area where previous coefficients that dependended on monotonic analysis performed poorly:"
]
},
{
"cell_type": "code",
"execution_count": 231,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"X = np.array([i*i for i in range(int(-n/2), int(n/2))])\n",
"Y = -X\n",
"c = corr(X, Y)\n",
"\n",
"plot(X, Y, corr=c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And it's also robust against shifts:"
]
},
{
"cell_type": "code",
"execution_count": 228,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"X = [i*i for i in range(int(-n/2), int(n/2))]\n",
"Y = [i+1e5 for i in generate_noise(X, level=0.2)]\n",
"c = corr(X, Y)\n",
"\n",
"plot(X, Y, corr=c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And it also seems to perform well with exponential variables:"
]
},
{
"cell_type": "code",
"execution_count": 229,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"X = np.exp(np.linspace(0, int(n/100), n))\n",
"Y = generate_noise(X, level=0.25)\n",
"c = corr(X, Y)\n",
"\n",
"plot(X, Y, corr=c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's also quite good at recognizing correlations between a clean signal and the\n",
"same version of the signal with noise:"
]
},
{
"cell_type": "code",
"execution_count": 230,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x_range = np.linspace(0, (np.pi * n)/100, n)\n",
"X = np.sin(x_range)\n",
"Y = generate_noise(X, level=0.4)\n",
"c = corr(X, Y)\n",
"\n",
"plot(X, Y, corr=c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"However, it may not be very robust to recognize correlation between two signals with different phases,\n",
"unless either the difference in phase is very small or the two signals are symmetrical."
]
},
{
"cell_type": "code",
"execution_count": 219,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x_range = np.linspace(0, (np.pi * n)/100, n)\n",
"X = np.sin(x_range)\n",
" \n",
"for phi in range(3, -1, -1):\n",
" Y = np.sin(np.pi/(2 ** phi) + x_range)\n",
" c = corr(X, Y)\n",
" plot(X, Y, corr=c, title=f'Phase shift: π/{int(2 ** phi)}')\n"
]
}
],
"metadata": {
"interpreter": {
"hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
},
"kernelspec": {
"display_name": "PyCharm (montecarlo-markov)",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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