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Last active August 29, 2015 13:56
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How to use PyMC to choose between one of 5 specific beta distributions?
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%load_ext autoreload\n",
"%autoreload True"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The autoreload extension is already loaded. To reload it, use:\n",
" %reload_ext autoreload\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The autoreload extension is already loaded. To reload it, use:\n",
" %reload_ext autoreload\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas as pd\n",
"import seaborn as sns\n",
"import prettyplotlib as ppl\n",
"sns.set_axes_style('nogrid', 'talk', 'Helvetica')\n",
"\n",
"from scipy import stats\n",
"from scipy.stats import beta, uniform\n",
"import pymc as pm\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I have a bunch of data points for samples that I know is always between 0 and 1, and I want to assign it a modality, one of these 5:\n",
"\n",
"* `excluded`: mostly close to 0 (from 0 to 0.3 in the toy data below)\n",
"* `middle`: mostly in the middle (from 0.3 to 0.7 in the toy data below)\n",
"* `included`: mostly close to 1 (from 0.7 to 1 in the toy data below)\n",
"* `uniform`: uniform from 0 to 1\n",
"* `bimodal`: approximately half \"excluded,\" half \"included\"\n",
"\n",
"See the graph below for a visual representation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rv_included = beta(2, 1)\n",
"rv_excluded = beta(1, 2)\n",
"rv_middle = beta(5, 5)\n",
"rv_uniform = uniform(0, 1)\n",
"rv_bimodal = beta(.65, .65)\n",
"\n",
"models = {'included': rv_included,\n",
" 'excluded': rv_excluded,\n",
" 'middle': rv_middle,\n",
" 'uniform': rv_uniform,\n",
" 'bimodal': rv_bimodal}\n",
"\n",
"fig, ax = plt.subplots()\n",
"x = np.arange(0, 1, 0.01)\n",
"for i, (name, model) in enumerate(models.iteritems()):\n",
" ppl.plot(ax, x, model.pdf(x), label='{}, a={}, b={}'.format(name, model.args[0], model.args[1]))\n",
"\n",
"ax.legend()\n",
"ax.set_ylim(0,5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 20,
"text": [
"(0, 5)"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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KCqZMmaKu+X/nzh0MHz4cmzdvxrJly7B48WIMHDgQly5dQmJiIqZPn47g4GD0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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1e5eced0>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ideally, I'd like to use PyMC to decide between one of these 5 (can use a prior of $p=1/5$ of this modality occuring) but I'm not sure how to do it.\n",
"\n",
"This is the code I have right now, and it somewhat hackily assigns a modality:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"__author__ = 'Olga'\n",
"import seaborn as sns\n",
"sns.set_axes_style('nogrid', 'talk', 'Helvetica')\n",
"\n",
"import pymc as pm\n",
"\n",
"def _assign_modality_from_estimate(mean_alpha, mean_beta):\n",
" \"\"\"\n",
" Given estimated alpha and beta parameters from an Markov Chain Monte Carlo\n",
" run, assign a modality.\n",
" \"\"\"\n",
" # check if one parameter is much larger than another, and that they're\n",
" # both larger than 1 (then it's either skewed towards 0 or 1)\n",
" if mean_alpha/mean_beta > 2 or mean_beta/mean_alpha > 2:\n",
" if mean_alpha > mean_beta:\n",
" return 'included'\n",
" else:\n",
" return 'excluded'\n",
" else:\n",
" if mean_alpha < .9 and mean_beta < .9:\n",
" return 'bimodal'\n",
" elif mean_alpha > 2 and mean_beta > 2:\n",
" return 'middle'\n",
" elif abs((mean_alpha+mean_beta)/2 - 1) < 0.5:\n",
" return 'uniform'\n",
" else:\n",
" return None\n",
"\n",
"def _print_and_plot(mean_alpha, mean_beta, alphas, betas, n_iter, data):\n",
" print\n",
" print mean_alpha, mean_beta, ' estimated modality:', \\\n",
" _assign_modality_from_estimate(mean_alpha, mean_beta)\n",
"\n",
" import numpy as np\n",
" from scipy.stats import beta\n",
" import matplotlib.pyplot as plt\n",
" import prettyplotlib as ppl\n",
" \n",
" fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
" ax = axes[0]\n",
"\n",
" ppl.plot(alphas, label='alpha', ax=ax)\n",
" ppl.plot(betas, label='beta', ax=ax)\n",
" ppl.legend(ax=ax)\n",
" ax.hlines(mean_alpha, 0, n_iter)\n",
" ax.hlines(mean_beta, 0, n_iter)\n",
"\n",
" ax.annotate('mean_alpha = {:.5f}'.format(mean_alpha),\n",
" (0, mean_alpha), fontsize=12,\n",
" xytext=(0, 1), textcoords='offset points')\n",
" ax.annotate('mean_beta = {:.5f}'.format(betas.mean()),\n",
" (0, mean_beta), fontsize=12,\n",
" xytext=(0, 1), textcoords='offset points')\n",
" ax.set_xlim(0, n_iter)\n",
"\n",
" ax = axes[1]\n",
" ppl.hist(data, facecolor='grey', alpha=0.5, bins=np.arange(0, 1, 0.05),\n",
" zorder=10, ax=ax)\n",
" ymin, ymax = ax.get_ylim()\n",
" \n",
" one_x = np.arange(0, 1.01, 0.01)\n",
" x = np.repeat(one_x, n_iter).reshape(len(one_x), n_iter)\n",
" beta_distributions = np.vstack((beta(a, b).pdf(one_x)\n",
" for a, b in zip(alphas, betas))).T\n",
"\n",
" ppl.plot(x, beta_distributions, color=ppl.colors.set2[0], alpha=0.1,\n",
" linewidth=2, ax=ax, zorder=1)\n",
" ax.set_ylim(0, ymax)\n",
"\n",
"def estimate_modality(data, n_iter=1000, plot=False):\n",
" alpha_var = pm.Exponential('alpha', .5)\n",
" beta_var = pm.Exponential('beta', .5)\n",
"\n",
" observations = pm.Beta('observations', alpha_var, beta_var, value=data,\n",
" observed=True)\n",
"\n",
" model = pm.Model([alpha_var, beta_var])\n",
" mcmc = pm.MCMC(model)\n",
" mcmc.sample(n_iter)\n",
" \n",
" if plot:\n",
" from pymc.Matplot import plot\n",
" plot(mcmc)\n",
" sns.despine()\n",
"\n",
" alphas = mcmc.trace('alpha')[:]\n",
" betas = mcmc.trace('beta')[:]\n",
"\n",
" mean_alpha = alphas.mean()\n",
" mean_beta = betas.mean()\n",
" estimated_modality = _assign_modality_from_estimate(mean_alpha, mean_beta)\n",
"\n",
" if plot:\n",
" _print_and_plot(mean_alpha, mean_beta, alphas, betas, n_iter, data)\n",
"\n",
" return pd.Series({'mean_alpha':mean_alpha, 'mean_beta':mean_beta, 'modality':estimated_modality})"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Until I figure out how to use the categorial variables, I've just been testing on some toy data. This seems to be doing exactly what I want, and the traces (green lines) get assigned right over where the data (Grey histogram) is:\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.random.seed(2014)\n",
"size = 100\n",
"\n",
"toy_data = pd.DataFrame(np.vstack([np.random.uniform(0, 0.3, size=size), # excluded modality\n",
" np.random.uniform(0.3, 0.7, size=size), # middle modality\n",
" np.random.uniform(0.7, 1, size=size), # included modality\n",
" np.random.uniform(0, 1, size=size), # uniform modality\n",
" np.concatenate([np.random.uniform(0, 0.3, size=size/2), # bimodal\n",
" np.random.uniform(0.7, 1, size=size/2)])]),\n",
" index=['excluded_true', 'middle_true', 'included_true', 'uniform_true', 'bimodal_true'])\n",
"\n",
"estimated_modalities = toy_data.apply(estimate_modality, axis=1, args=(1000, True))\n",
"estimated_modalities"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 1000 of 1000 complete in 0.3 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting alpha\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta\n",
"\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.29437033037 7.66045445746 estimated modality: excluded\n",
"\r"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 0.3 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting alpha\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta\n",
"\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.34544441575 8.11127974722 estimated modality: excluded\n",
"\r"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 0.3 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting beta\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" alpha\n",
"\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"7.45428806525 7.43489768559 estimated modality: middle\n",
"\r"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 0.3 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting beta\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" alpha\n",
"\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"8.46524180512 1.48535759627 estimated modality: included\n",
"\r"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 0.3 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting alpha\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta\n",
"\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.983821231355 0.898628704072 estimated modality: uniform\n",
"\r"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" [-----------------100%-----------------] 1000 of 1000 complete in 0.3 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting alpha\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta\n",
"\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.719739994657 0.696392579249 estimated modality: bimodal\n"
]
},
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean_alpha</th>\n",
" <th>mean_beta</th>\n",
" <th>modality</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>excluded_true</th>\n",
" <td> 1.345444</td>\n",
" <td> 8.111280</td>\n",
" <td> excluded</td>\n",
" </tr>\n",
" <tr>\n",
" <th>middle_true</th>\n",
" <td> 7.454288</td>\n",
" <td> 7.434898</td>\n",
" <td> middle</td>\n",
" </tr>\n",
" <tr>\n",
" <th>included_true</th>\n",
" <td> 8.465242</td>\n",
" <td> 1.485358</td>\n",
" <td> included</td>\n",
" </tr>\n",
" <tr>\n",
" <th>uniform_true</th>\n",
" <td> 0.983821</td>\n",
" <td> 0.898629</td>\n",
" <td> uniform</td>\n",
" </tr>\n",
" <tr>\n",
" <th>bimodal_true</th>\n",
" <td> 0.719740</td>\n",
" <td> 0.696393</td>\n",
" <td> bimodal</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5 rows \u00d7 3 columns</p>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
" mean_alpha mean_beta modality\n",
"excluded_true 1.345444 8.111280 excluded\n",
"middle_true 7.454288 7.434898 middle\n",
"included_true 8.465242 1.485358 included\n",
"uniform_true 0.983821 0.898629 uniform\n",
"bimodal_true 0.719740 0.696393 bimodal\n",
"\n",
"[5 rows x 3 columns]"
]
},
{
"metadata": {},
"output_type": "display_data",
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RmQnrgeTHPiYpNjZyRURERKRsdSZXFRUViI2NhZ+fH6KionD06FGD9u3bt8Pf3x9+fn7Y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\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad1a0c590>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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4VHiamX2Ht1XTPJrtfTlXepV1J6uCzWeHjLcsMaNosA0Q+2h0mFW1xoLitjwr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\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad3b7ff90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qOwKdf9zKTjuS0N7yDA9z9lT0srm+L3PejJN7jCK+lJKP5KuRXvMFHD8UfgdP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\nqOCfEjPYtGkTZ57yPn6y4qsAfHLuP3DSSSex4j9PZnvtAr76Tx8nmUz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cHw3NW/nJa8+U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\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaac55f6fd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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E2AGICAxBQW2FpZ1C29YTBIA/TPw5Xp7w8zYfR9QS5lyRGrw658rXySUBzJLk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\nj7W2tuqpp55SamqqJGnQoEH67LPP7K0WQNhq33C1/01EIBg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"text": [
"<matplotlib.figure.Figure at 0x2aaad1728c50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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CrVaLCnUNhnn1wsLB4SZfn0gs9StkO8QyJk2eqQoODoZGo0GfPn3wwAMPYObM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\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad1438ad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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dlGd93bba2lCWbuEPpsJAYhuMq36HiopGGUb9S82V5lkro4n+W7ZKhfxjTXOv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llbbW0tlEolnn76aSlCcJjTp08jMjISR44cwXfffYfFixcjODgYd+/eNXtdbW0tQkNDoVKp4OXl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\nxpgFLpIZY4wxxhizwEUyY4wxxhhjFv4fhRLqzJb2lvgAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaacae74c90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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v9/9unLJ7tSZ3nVIXqU9FCCHO1uaRKplMhv/7v/9zRFscSqOz/8NKIhJBy+rA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\nKYBJFREREZECmFQRERERKeD/AOh/9Zq1APgJAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1f056b50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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doyFqQyQJ6GgIwrKh99b7OLnXktZlXrSCgCqXCyAWH/kMf7ntPnQK7NCkMTSX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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaac8bafd90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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7Km8/f1/3DeuOYvGVR5bPYkWNbiJWYLW5qiDZqm/SXeD5Ft5KO7OuqPhVHVHj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PJJlDIJTzD1+atem8kimJzLy8vx1ltv+X+3Wq348MMP8dhjj0U9zkgK9jr82muvQa/X40c/+tEd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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaac83cdbd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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NWJMhui/yzuJwkfEKAG+c2w+VVoMucl/0CwzF/zdiitH9jiaSM3CudzGn/A72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\nLa6UqgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad4520a50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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GY9QpBz2YqMqMcw6gbPB19bQA7h6grkIZV30M3CIkuZZWSh+319T3bHaIStcI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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad47de890>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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U1ZZzef9T6JvcDYAHRk3j6Q1LfKMGSdZY/lGwnIv6nkzfpG6tFkuNy0GCNabR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\nAAwoyQAAAIABJRkAAAAw+AY1cwdhBU+MZQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaaafa99f90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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iJy6Xucf91y7iyu2b4vZUwr9qWD2vYiOVf/aM+DjhdSwQ/3EyEkG7ycFz5YkC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\niIiIbIjFFREREZENsbgiIiIisqH/B74gr+HkWLz/AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad2760e90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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5BN9pQZ7jXe+jx2pBNRwrGDVP1wtXUM5zRa/rd8HDyQwF6urq8Mwzz2DPnj1I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\nxJBhO4AAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad0242050>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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CzfPOnTvJz8/n1VdfZfr06WRnZ/PUU0+xb98+nnnmmdo2TxAEIe6IO8fZ/4bs\n4zj7RJwj6r5KxkWPI/LnvUwFyTmtQ+ZSDvTu3FUApep7pV1m2m2YygjjwIf1qgAotpVjas3O/CNV\ntu/EowYLoCiidpxDRZxd17TpfHgytXbq4JXP9zDSSpiObT3trfECKB4kJSaRbLF4fB9rvAB4rWC1\nWikrK+PFF190yzU6dOjATTfdxFNPPYUR4IFaqFlWrVqF1eo/2Twcqamp2Gy2Sm0LkJiYyNChQyu1\nrVB3qOz1BVW/Rio7dm1fm/HhOFekvfDHNypVCYfR5QzU1CRB7e83Bx3fx32IoHOqrQCKW4/q1Dh7\nlWwOFPmPMINJosWCYZN8dr5EdPiqcImaXk5h8IizLi3C/PJtsDnK2htDzke16xEyUry74CgNy4r5\n78/LuRv4LGsT20uOk1dewozBF1bY4Bw7LL7XsTJiKtUIGz12SkW00/F3RN9PfNe5TZs2pKamemmc\nTz31VHJyctixYwddu3atResEcDzc2Jzf1cpsV5lthZOHyl5fdX3sqhAf4QRd8cHvXuVZJCFS5y1o\n/5WjcjdQb+fBCBbBcldNi9iaStgSHEfE2aFxDt1QoSOQaoTWbJ+Y2LXJweK88BUyY2yH9+RA7Zgc\n6IwY6qMHMH/6AvOnL9DfzUe16oQx7k8Y/c9AH9zp2CZEekdTmzRMrse9/UYDcGG7XtzbbzQNElN8\njPCe7KoP76WtjzZea02Z3cqx8hKOlBZirQEtsXZfl4HeagHKwNCuPy8qiuJKdZuBAwdSWlrK6tWr\n3ctWrFhBly5dxGkWBEEIQJw4zs6IsNboGMyur57bX+R26UCvq4NEsKJK3wUVr5qrSarhdiLCHXcj\ncnnIyeU2w678I0xf+xlHy4rCtAx//Kqajs6jJ6+Is961CcpLUemtUJ37owaMRiUkOiZ9Fuc7t4gi\nLaLdFtBe7dOPXruYc7es8mpzpLSQ7XmHWLz/Vxbu+YVODZs5Ir4xdFS13wcflCu5pcPxDyatOtHo\n3r07EyZM4JZbbmHu3Lm8++67PPDAA0yePLm2TRMEQYhL4kyqESg1W/ACKNH2X5P3Qd8ocjCnRIeK\n0CpniygyGkSHt4PvKSXxdxoic9Z11BH0uo8r+0KgdIOexOw0uvuvOJ+GUuQUF5BsSXAPrlp1RHXq\n771RvYbow3vR+38POYHVj6BRYp+HxgASjHLTTsOEZCZ1HoxKre/YKtYZW4IEmt0ohaG1O+KuIswR\nfyLwn/+ex5MdAAAgAElEQVT8h6lTp3L33XeTnJzMxIkTeeihh2rbLEEQhLgkriLOEGBqkW9WjUpg\nxsH9TxH4NbgjuUCoSF/YBZXGNzoYEmVE9NASdQT9BMDmdJjDvtqP8NTd/cO8SsmDPDdpmJTCM6dN\noGuj5h6DBzgzaY1RnQdgLv1vRFFWc+Es54fAjrNT6VCB4V8R0K5NRxOf73ZMNc7hpBouSYuznTpJ\nNM7gmET26quvkp2dze7du3n66adJSIiTmIogCEKcER+Os0fE2c8185scWIWIcy3eCINXWgufhcAn\naQHOd8lVtsn1Wto9TihLjMiOfbQR5yX7trJs/7aI28cjNo9ME6GI5FwDlNptlXo88srjrPEqwOOf\n/s2BMgyMQedASv3QEWfn9ro4H+PC28Fudy/2bubzBkU51MKe2E3T8YenBt9MhH+gq4g4K0LMSRAE\nQRBOauLDcfZMRxfq9ha6tFnw7itjk+/Q1bB9IKfElUs54lG1WW1SCD+nJ9SRijAFXlRRbGDD0X1s\nOLov4vbxiM20k2hYsEf0UBdhCsVKZo+p6pURVALs8S+WhNARZ68NDQyffbG5Is6+Dnass2qE+vth\nGM6sGg6zVITFlQRBEISTi/h4H+dVRttnnfItulC5WFxtE+xGHCx1nWOjqFdEiaZr1hYoK654je0a\nQflGjyPUOEfpvBlKRehwxi82bZJkWCKIOEd+5kw0kRfLdvbvNTfQd6QwIl+lnFKNCL4rhgVydqG3\nrwtwnfjkV1fKT6phCxRxVrHPxeLoP8j+OScnekbMtdZ8uW8Law/vwWraua//OSd8CW5BEAQhNPHh\nOLvQgSoH+repRLeO/0O1yT+CXv9VxbCdB6Dado96rGAogPIytN2GslQc9pCTA10tPA13edrVkVUD\n6LBvO8b4e2D3poDr3ZYZBtgikWqE0Wz7YFEGVrNyydfjBZtpJ8mSEFkVyzCHxn2tVuL8htRYh+vP\nKVEI2spT6tGyIxQcw/zuQ9Sgs5xOfoWz6UWAbBkBNc6hR68y3g8twdLR+U4OhEJrGVd2HszaI3vZ\nW3Scjg3SvTcDEoxoH3EEQRCEukp8OM4V3gI6lOdcyYp5EW1xZD/Y7ajew9GH96GzfnE7ztUj9VB0\nXDgL3Ws46rRxFbZF6WhW5/Q7Vzo61SjDb11FBNojXV2EEedosCgDex2fhGUzTZKNBHdVvWCEf0iq\nIJgTXmQt40BxXsB1h0sKPAbzEx+H1RQrIos4q9T6qH6jsG9bjaEcZe8tFdLqsFk17NrE8G0ZW7+5\nIioe7DgoxyRGzwIoptbu72e/9DZ8vucXv80SDAt39h4VO8MFQRCEuCK+HOdAblegV87RDxB+W62h\nYTqqRQeHA390fyXGCYGCxKI8KC/zsawSkwOrUaoRMnWvlw0RvsYnOo2zxTDCOpzxjlXbSbJYwj8A\nRBKQdjuggRv/kLOTXQVHaZHawG9dvYQkUiyJ4TsPsi60Xx3AHmWQgLeTr/0cYn/tss00HdeIb+XA\nGEecQ+KcxOiSarjS0bkedro1ak63vmfFzD5BEAShbhAfjrM7qwaOUI8XPunoYjU50DTdKakwLCHy\n1FYOI2ge51AR50DLnc5utWTVCO43u+Xk7gbKcYzCYAbMxR0cC6rOR5ztpkmSEV6qEZXGOUhfGhjW\nvCP90tsEtmXVF44PfpVJIskrEbpant91qpQ7MutpoF/EOaBUwz/yG1uNc5hov+GKOFMxOdAVga65\n5B+CIAhCnBMnWTX8PlTgJYOs3PtcV6Q0pF+jzYqJiDFwnIMOG9Zp1AHaVZNUI4Qr5+dEGQaRHPto\n5AjgiDjX+cmBpkmyJSHsfkQjYwnuOAd35EJfS2EcZ9ekuGB96ADvRpTCgvKJOPs42K5sFR5t3Bpn\n785iK9UgwnR0zr10R5x1dG9QBEEQhBObuIs4+xUr8cyqEWFmhyC9h26jzYoImMXizlPr2L7qd/Tg\neZyDR6N92ymHodUWmovqUEZYAAWiM8+iVJ2Tavx8bD8rc3a5f99XdJy2aY0juk4i1bMHz6cceqvg\nXjVhT0yoFzrK/Y/3BhYNntnX/dxrZ1YNzweqiqwa3hlzYirVcM0lCKZxNgyvrBqubCEScRYEQRA8\nidhxXrRoEbfeeit79+4N2ubrr7/mqaeeYvXq1QwfPpwXXniBDh06hO88qjzO3jfXUruV+bvWB2ye\nVnic/hu/wTQ1U8qLsVhSoVWXwH2HkWpUNXey2+n1IWzEWVdEv9wzqCo5SfLhnxbw0KCxFWWYqTja\nw1p09HJglVJ8sXczFmXQPLUBmUpFVILRjLIAikUZ2OOhtGMUZBUc5dSM9nRu6JhUqYAfD+2qVslJ\nKKlG0Aioc7Jn4HURfLcIkbs40POaMrAob6mN45NnSwMDjV1rtwrLpk1Hijqft0mx9E8r9ivI/qmK\nPM5KVRRAkYizIAiC4ElYx1lrzYYNG5g2bVpIh+jYsWNcfvnl3HXXXTz22GPMmjWLCy64gLVr15KS\nkhJuFPf/ylc84lc50PvGd1OPERTbygP2mlxeTnLrruQNGk3h7i202ReiQl2MpRrBbr6hC6A4zXGF\nAquYeeBQaSFldpvbcfZ0koa36OTV9opOgzhWVgzAZ3t+IbNhyxhFnOueVENrSEtMpmFSxXVtUcEn\nOdq1yf9b/yVlditpEeYBDn6aw8kxQqwLc2KMsGqJABpnfDXOPhFap7f82Z5fsDi/X7sKjjAo0ENy\nTLXunhKiQFk1lIekRDmVI67JgYIgCILgIKzG+eqrryYzM5O1a9eGbPfUU08xcOBAHnroIQYOHMgr\nr7zCoUOHwm4HVNwwA+kofVNW+dzaW6Q2pGODZgF/WqU2oHFqAzo2bklaUmoYGyJ3nDt06MC6deuC\nrk+w25h27QT+dOvNFaYrAt6CQ0o1nB6IwiNHb5BXzR9//DGDBw+mbdu23H///UFtW/DJ/xgxYgTd\nu3fnXy+87F6+f/9+br75Ztq0acPw4cP57P0P6dWkFb2atOL3lesYeMFE2l5wNbfeeit79uwBwDRN\nHnzwQXr37k337t257777sNvtKKUoOJrLhRdeSEZGBpdeeilLly4Nsot1b3Kgifb74oRKq1dut9Ek\nuR4PDjqfdvWbRDZGqIhzME8uZMq58BpnQqajC9S3wqK835r4jeL8TvVs3NKRmaJRc85r24u0hGTv\nB0a/J+bqxUvhFOgwKMP5XOqhcXY60tVVqVMQBEGo+4S9W82cOZMNGzYwY8aMkLKCTZs2MWbMGPfv\nCQkJdO3alU2b/Atr+OHhOPtrnKuQVUPrCvlFOHm06dHWkoC2B3ecw91I65WXQvYucEZsHcMHiTiH\n1Sxrn1Rw2mWEu8W+ffu48847uf7665k7dy7z58/n9ddf9xvnwIatTP/7wzz//PO8//77vPPm23y5\n/jcAHn30UdLS0tiyZQsvvPACDzzwADt27KC4uJh373uMSRePZc3s57BarTz11FMAzJs3j2+//ZbF\nixfz5ZdfsmLFCua/PxeAudOexm63s2LFCm655RbGjRvH0aNHQx63ukKgtwRGCK22V5Q/wus3qOMc\nMqgcTuMcbnpclCiFob0Lr/hNDnU6xN0bt/D68c/QQWxLbhPme6sUhjZpsXU1nbaswkC5ldviNguC\nIAguwjrO7du3p1+/frRr1y5ku+3bt/u16dy5c0SOc1bOUXr37s197yxkxjmTOO+881iyZAkDnvqY\nzHMv5uuvv3a2VGzbs5cbb7yRli1bcsMNN1BaWuruZ8qUKZxyyin06NGDhx56yKFbVooOHTrwwdz/\ncfYdjzBgwAAWL17sb4RfxNnm7u/+865gxaz3/Db5+uuv6d+/P/fffz9t2rThuuuuY+fOnRhOB+BY\nbi4XX3wxTZs25b4/3kR+qUNSkp2dzYQJE8jIyOCG8y9l2f8+C3l8vBQaAbSqc+fO5fTTT+fOO+9k\nxIgRzJgxg2+//darjYkm65ufuHzyJE499VQGDRrERZeN54t1DvmK3W7HanVU8FNKYbVaSU1NZf36\n9TRr35b7br+Jlk0bc91117Fo0SK/bQzDwG63k5ycjIFi98atvPnmm3Tv3p3zzz+fESNG8L///S/o\n/tUlAuleXYVAAlFm2kgyEvAtax5yjKDtwmUtCRFxjqDkdvCUegG2VwoLAZx8v0w4kVBDGudgWm/n\nQ3P6vm00y8lyTw40o8wSUxd55JFHSElJITU11f1z55131rZZgiAIcUm1vR/dt28fDRp4F2Vo1aoV\n+/btC7ut1pqtW7eSlpzEXe++xKFDh5g8eTJvTTqdlx6fzrnnnovNZqPcamX0lGlceOGFLF++nD17\n9nD33XcDsHz5crZu3cqKFStYuHAhb7/9Nms2/uJ2hhcu+IJ5j9/DI488wtixY8nNzfUxwiOrhmFh\n+aZt7v7uff1pNi38ijVr1vjZ/vPPP9O4cWN+/fVXOnXqxN13341hmmg0cz79gmuuuYa1a9dSXFDI\nf1c5nNRZs2bRsWNHfv/9d26YOoWX/vGY1wOAL37FR3yckd9//51evXq5f+/atSvr13tPmNRaYysr\no179+u5l1vJyth90RIFnzJjB+++/T5MmTRgyZAgTJ06kdevWDBs2jLv/8zwldhu5BQU898LzjBg5\nAoBJkyZhGAbt2rWjQ4cOFBcXc85FF2Bqk1tff5I2bRy5hsvKytiwYQODBg3y2zetNYW2Mp7ZtJRn\nNi3l6Y1LWXck+ATUeCBQpoVQjnO53U6yxRKVRD2UVCO4YSHkGBEMHNId1/4tlHNyoGek3ZWVoqJR\nhH9inAe0MqXGIyWSdHQahTYM73R0J7hU49dff+Vvf/sbGzdudP9Mmzatts0SBEGIS6rNce7cuTOH\nDx/2WlZQUEC3bt3Cb1xwBIvFwr0X/oEmrZozdOhQxo4dS2a7ZgwfMpiGDRuyc+dOvvr+R07v35NL\nL72Unj178tJLL/HRRx8B0KNHD9577z3S09MpKCigcePGbNm+3R1Ju+X2G0hvVJ+LL77Y7bR6YZoo\nt1TDQo+W6e7+SoqKSanvkDH4Ur9+ff72t7/RoEEDHn74YX744QfsTie4f49uXHbZZXTs2JFho0ex\n7dBxACZPnsyjjz6K3W7HsFgozM/n0KFDfn2n3fwEaRPu5t7M82jSoCGpqamktenA3kPekod9+/bR\nuXNn9+9t27b1y36igY6jhvDBe3P4+eef2bhxI4v+t4Byqw2Am2++mXHjxrFv3z4WLFjAvHnzWLNm\nDRaLhQEt2vPEx3PIGHM1CxYsoGxIF6ymnWeffRabzcbGjRtZs2YNiYmJ/Pdfb2AxLLTt2RWAHTt2\nMGrUKAYMGMDAgQMDnv7pmRcwtd/ZTO13Nhd36MfewmMB28ULgSLOoTTOZXZHxDmqMSoVcQ4h+9Em\n4TTOFdlbgvTtS4DJgX6uu19Bo2A4JuftKczl410bvH6WHwgxqTdCvLTKgUxy5pt2rXMVQAk8M+HE\n4rfffmPUqFF069bN/dO8efPaNksQBCEuqbY8zgMHDmTXrl1ey7Kzs7nwwgvDb1yvEV27dqVBajIo\nRUJCAp06dQL2AMotHVj2/Uo+/nYVqakVE/1M08Q0TY4ePcq999xD1u7d9B8wwLFSa3fEq0nTxkAh\nACkpKf4RXg+phlIGRwuK+etVV5GVlUXjTsFlKqeccor7s1KK+vXrk71zL8qwMLR/H/e6pORkipxO\n6pYtW5g4cSIJCQm07dU1aESr6M2/QdNW/KtzH67rNox6CUnoY9notV+ij2W723Xp0oUjR464f8/P\nz6dr167eu6c1bQb35YyklkyePBmbzcaYiy/k+NrvKCkpYenSpWzfvp3WrVvTunVrLr74Yj799FMG\nDx7M6DY9OGvS9fy5V0/m7Crgnqn3UnjNPXzyySfcdddd9O3bF4A777yTf739FqdddSkAb731Fvfe\ney9TpkzhkUceCXoMPfc+2UigzLQFbRsPaLQj04kHoTTO5aaNJHcmk8gIV4UwsGGRpJwLgQqTOMVv\nbmAgjbNvG8d3ylzmlDoZBmrkhIB9K+DX49mkJSbTuWEz96oPdq7jzNbdA5o0f9d6jpUWAXBh+760\nqtcoYDv3kQl2XJ0VDl3tXA8RJid+xPm3337j5Zdf5pprrqFr167cdtttXHrppSQkxEmaf0EQhDii\n2iLOAwcO5Pvvv3f/XlpayvLly+ndu3dE21sslsArPCJAQwYO4PqxZ1JSUkJJSQl5eXmsXLkSwzCY\nMWMGo5pZ2PqPPzJ3rmOCmqfjrFTg8go2006JzYrVZqPMNCmxWSmxWXnkwyWMHPUHNm7ZzK3PzQhq\nd052NuavqwA4ePAge/fupXnLdLQySLBU3HCVM0+taZrccccdvPbaa6xdu5Zr7r4TM0weYwU+kwO9\nb+SZmZleEfStW7fSp08frzam1uQfyGHU6LP4+eef2bp1KwmJiXRt3Yzk5GSaNWuGYVRcDikpKbRp\n04b58+fzxBNPgFI0rl+P2267jcSkJPYf2E/r1q39tmneqiVKKVZ99Dn//Oc/+fbbb3nssce82nni\nu+fJFgvlISZmxgOB5ATJlgSWHdjG8z8v8/uZv2s99V1ZJCJ0iENNDgzux4WaHBhmXKcTHLrwSoB0\ndCpQOjpvqYYaMR7V93RU39PRuTlQUhDIAHDme25drxGdG2a4fxKNIH8bgB35R7i8cyat6jUiJ2C/\nvmME2A/nvihHjW3AlZpPx1Q6Eg9kZ2dTWFhIeno6c+bMYcyYMdx55528+uqrtW2aIAhCXFKlkEJW\nVhYZGRmkpaVxwQUXMG3aNGbOnElmZib33Xcfp556KsOGDYuqT7/X0B4ayfPPGsX90x5h6dKldO3a\nlWnTplFSUsLcuXMpKyvDnqrJtxu88Mgj/P7775SWlXk4EirgrP1ZW79Daxh4aCe5RcfYY3Nkwigs\nKWbH7+v4fOEbLJ//Jcf3HqBkz29+2x89dowX/3Y3k/+1gOnTp3P66afTsEEaWBL8nBUN2E0Tm82G\n1WolJyeHZ/7m0BIG0jgn3zDTMWFLKe5yHhelFL/P/idtPXyJ0047jXvuuYdrr70WrTXTpk1jxgxv\nZ1+jObZ9D5OnX8ba1T+xbNkyFn30PxbeOx7DMJg8eTIPPPAAjz32GDt37mTBggU88cQT5Obmcscd\nd9CxSRpntqrHf555hladO9ChUyeuvfZapk+fTpcuXWjQoAGvvPIKf7zzFrRp8ukzs/hu+Tf0798/\n4Hn2tMvTkUmyJFBmt4bcprYJVFa8b9M29GrcKug2hlLYtBlxxDmYA+s4WpXJnKGJRG8cOn+0/3fT\nd3KgXyutUU1aoDIcb21U/cYQKO+688HSrk2/aH4oLErRKCmVlITEkA8H2p1fOnBUvsLZd/ThSEfn\n+N3QoG1WVEJixHbVFdLT09m5c6e7UNXw4cOx2Wy88cYb3HXXXUG3a9asGYWFhZUa80R/GBEE4cQm\nYsdZObXCnnTq1InZs2e7X/F99NFH/OMf/+CFF17g3HPP5Zlnnomob9M0KS0tpbCggIKCAg4dPozN\nZoMGDlmDzWZj8+bN0CyNZ2+dxPTp01m/fj1nnXUWf/7zn1m7di0TJ07klRl/5/UlP3LuJZfx0EMP\n8dcn/8lpXdpSXl7OoUOHKKhfztq1aykpKWHbtm2kpaVxrPQ4Y5Lb0MqaRHNrKq1LHZPnWt94IzNf\n+zdLPvuGS84Yzp/umMT9jz9N95FnU15eztatWyksLKRj29b8mpNHlx7dGTb4VP7yl79wrOggptYU\nFuS781gfz80lATh29ChTpkzh6quvJjk5mXOumkj9xg0ZP348//nPf7yOy/FXplJWrzFvdOnLyKQW\npKoEkouOkXLgZwoLC/m/lV+Qrx1OyHl338CFE8djs1o5+9KLOOWUU1i7di1vvPEG69ev57lXXqLD\n6Zmk7zxGnz59SE9P58Z7/kSTekdZu3YtY8aM4f3332fEiBF069aNmTNnkpWVBcCf//xnXnprNn/e\nsYORo8/loqm3sGHjBjIyMjjrrLO4/vrrAbjyyitp3ak9G1evobSoxO+h6eabb+amm27yWnak7Aib\nj29mv+EoDFKm7eSUH40s/3eM2GkrYIP1KIlOR7Ncm0xI7eBen1N+iF+PlXPISI6qX7vW5JdVXBMF\npQV++1lQ6oiabtmylcMW/8JBB8qPQM5xCi3+k24NWxnt8/LYtXYtXQoK2O7Rd+ucHHL1Vkr2B04J\n2LmwkKxdOylFs/ZAvt/6RlYbxeXFYJS5+2139BiFKU2Ym/8DZye3BiC/NJ/169a7nd9m+/ZgTckl\nr8Dxe5tjuRzdtJG2PvYZdiv1rDb2HziAzsmlxHLA65gEux5c6/ZbczmuErDv9p8rAFBgWjlmPca2\nfUdokHuQ7AD9NbNa0ThkQvv376fYOMwRWz77shbRaPOXbBx5C9ri/yczMzMz4Jh1gcTERL/qrqNH\nj+Yf//gHRUVFpKWlBdwuLy8v4GTpcCQkJGCP8zdKQt1m1apV7mxP0ZKYmMjQoUOr2SLhREPpOHj8\nn3LOqfxr+Tq+uOU8nu02gEV/eRJtN7E9cwMDnvqYX7IdGTAGtU1n8qDO/GXB6oD9fHX7+QCMfu1z\nACYN7ET95ETe/HEb51xwOtf3bMXkp+d5bTP22b/xxX3/5P5RfViz9zBLfjvg168yFGOf/Rv3blvv\n7ttF/eQEjj9+DWPLGrP4788CMO25qYzbt4NXv9/Kmz86JjZ1HXM6a8/qzGvfbub+hT+5t+9x0ZnY\nSsvYvuQHv3F/uOsiOqbX51hqGue+8An79x+mV4vG3DaiJ71bNOb5XoNZ/NBzXtsk1UvltClXu21x\nkdyoPtd++i/m3/B3jm7fDUDLft1ZcNlQhvzjvwGPpycD26Tzx0zHsR89fQo/vPhfSo7l+bVrk9mb\n5r270iazNwvvnhm23z/cdxMb3vuU/H05ABgJFsY8+VcWTX0i7Laxotel51CSm8eurx3X2YXPP8jC\neyr2ZcSfr2PLx0vIzdofVb+++3bhCw/6HaMLX3iQ1gN78fGtD3N4606/PjKvn8CBdZs5uPFXv3WN\nU5N4e9LpjP/3V3x1+/le1+rTFw/h/9buYH0Qx/nLW8cw5fdcEho1ZMvHS/zW//T0rZTuOUC51ebu\n9/XLR7Jh/1G6XTaGje8vBOCUSRfxyF+fR9sdYum7/9CbXccKWPCLo2jO4xcMZsEvu5k5drCXfamJ\nFr5+4mb+tC2Xfas2eu1foOPkXvfiQyy86zF6jz+X4qPH2fVN4L8N9Vs2I/P6Cei5n3Bm11bM+HK9\nX5s1j1+PrdwKWnPzr7nk7T1Il9HDab7sa94dP5TGf/8vhWX++vs4+BNaaT777DOmTp3KypUradLE\nUZznqaeeYsmSJYHTdjqZOXMmI0aMiHq8hIQER1CkEiQkJDBy5MhKbVsdrFixolK2V9Xuyo6bkpKC\nzWarteNd145XdYxdFU7G41Vb+1xV4sJxfnDCaCY88DidNy3khR6ZnJ/cFkMpBnzzKr8OnkRpWlMA\nUgsO0yRnGwe6BD5gXTY48gRvH3AJAE1ytqFMO8da9eJw/l7aH9hKcY9z3e2HDh3qMRlIu/8dPXo0\njz/+uLud1pqFZXv586/r3H0DrFmzhmefeJwtU87miaEXMyalLQDbDqzmwuy9HGvRnaNtHFrj32x5\njF85h6Ot+3Kw83B3H1usx0lSBl0SGvrtT4fNn7O325mo35dS1mE4lnpNSSk8SvrBzaQWHeO5HoO4\nKOUUr23KtcmysgNuW1yUaBvvlOzg0pT2ZBiOSOZBezEDNn5GzqCJwU6Nm9TCIzTN/pX9XUbyVdkB\nhiVmkGb4v7reZy/ikFnKfnuRn22B+KYsmwGJTWlkVJSinluyi3qqQotiohmSmEErS72w/VUHv1hz\nqacS6JTgSK+4sHQvY53XJMB35dn0SWhCkygjzqbWfF62jwtSHLKFT0v3+B2jT0v3cNAsYVzyKbSw\n+Fe7XFN+hDaWegGPhcVaSrtty8nqcz5dNvzP61pts30Fx1p0p6RBRkDbOm9cwNKef6BIafok+lc3\nbLR+HhlYQFnc/bbbtpxGR3ay8JSeDExKByBx7xqyMye7j1XG3g2UpTYiv1lHAFpk/URRo1a03L3G\nyz5l2qi/6WOW9BpFB0t9WnrsX6Dj5LtuszWXVI9z5ku+Wc4661EuLDGpf3w/2R2G+LXJWD8PwymE\nWdxnNA1VIjvsBVyYV0j3rUvZNOJGzAT/c16XI86madKlSxcGDx7MAw88wBdffMGzzz7Lk08+yY03\n3hh0O3GcI0cc57oxbnWMXRVOxuNVVx3nuJg2bUlIZOCAAZi7vqFhw4YM7D2QBMOC/Rvo1bs3Kt3x\nGlgf2oPWubQKcqOy7/gKqLiRmZtLQWs69slk83aon7+Hnh7b2mw2nt30Fff0PRNWLkC164Fq1yNg\n399sOk79Bg0YNGiQW7JSUFBAcrLD4WvUuBGZvR197z+2kbTGTajftg0dBjmWWQ/tQv2oaNmyJa09\nbCg88Dv1EhLJbN7Bf3/2raRp//78umcFHbp1pVGLDujDe9H2w5iHy2jUsCGZfb2PRbndxpqthWT2\n8V6eV14Cq3bQo0cPOjRwODm/Hc8h6dclEd34HeMeoWVmJhu3ldGnfV+apvi/xk3JPUBiQS75xw+S\n2S98v5t/+5G+7XqTkVrh8GTivd03B38n1RL4GMWC3P2/kp6cxsBmDgf3u5/zGNB7oHuS2tbfV9On\nTQ9a1vN/2AmFXZt893Oe+7h8vSnX7xh9vSmXg3kldOvejS6N/FOC7cvaSPcmregaYJ0uKcQ8tIHM\nzEzsO77yOq9m/jZa9OqFah7YAbVnfU3nTh3ZX1pEp5aO1IbJlgTqJTiu76yfPyItOQ1lSaj4fh3b\njC44QFannkzodzYAu9/+mcGZme7viKmPODTOnR2ZbkzzMCq9FeaxbV72aZuVrM0LyGjenJ4Z7enk\nkYVjjV0AACAASURBVFUj0HHyXVdw4DfSEpPJzGgfsN3hkgL27N1Mt9TG6L2aNgGu+YO/fIzFsGCg\nOKVdO5omp3H08G7aN2oCW2FA/wGolJp5eKspDMNgzpw5vPLKK5x77rm0aNGC+++/P6TTLAiCcDIT\nF44z4DWxJ2gIPIqsBI6OPKoBBinX7Z6c5tk2dKe4JhedccYZrF84Dxa87PW61tAmJCSCWaHlM1wT\nknzsNwOUb/YaSym0UmivPGGOYhupliS/LZSqKBXs1ZNzXN+JXBGjDLftjnLEwbM+RJy6l4qpWCGH\nDplfuPrR2jvdnOFTgCZQAZRIiGaTL/ZtoWDXelqkNuCG7hVvKEIfhRBrw5bcNmiR0pB1udl8tGsD\nAMfKivhr/3OC9x3k++h1PfumAUlMCjo5EBw68GgmB3qNGWpyIK50dIQ9EZ7p6DQatOu7GypXX91l\nyJAhDBniH4EXBEEQ/IkPx1mFqKnm58xG4UCZJrhzkQYew1XzQJvaXXY3pJ3+aQP8rDJMExKSvBxn\n9/Z+NoQvoawMg4VZGynK3U/T/KN0yz1Ak5J80hIDOM4E1ly6HN1K5Qd22e7c1q+SoQe+WTLCEYk1\nRpTPS1XFN3OF8nlQ0FpXPAjFiEMlhdzacyRzd/hPYguejS5Urrpw6eigVb0G3Nijwkl/ZtNSn819\n+lfhEj8HGDchEX14H1h9nGdXusYos2p4mB9yD3XIB1TPXlzmOLNqaDACPooKgiAIJyPx4TiD2zNq\nVa8hL/y8HKXgHvD2EqKNOFPhDOsQ90zliuiGiDgfLimk1G6lnu/t2ZmD2dORtGgTlZjs5VQ48kj7\n2x/a13F49V0bt6TdKf3QzdqgDu8lobAQw2pjUufBgfclyAMCeKc5iyqKm5SC/u0nOPvqkOWlPffH\nq1pbMHT46G1NR5xNH5sMdxU5B47gbWUc58j3o8RWTqol0a99yAeTUMc7bMQ5XNTf1YfHdySS76NH\nLnUA1aYr+vhhVE/fmeuOdJFmgOIywTA9ynuHvUa054cQ/TsvYNdbFRPts60gCIJwMhMnjnPFDfgK\nD2fQvvR9fDxnoo44K9eNlSCvlZ0fwjjOF7bvQ+n2n6kXQGph+FhlaO2QanikXVLuf7wJlBPYx0IM\nw0JaQgIqKQWdkIS2JKANA0uAwhAV+Wf9xwEfqYaOPDasGjSFZo4JhyGlGh77E0nsOdKz2XLLSrRd\no1p3Dt+4ivhWBlQ+DwpahztngYlmixK7lZSERP9zGepBK+QoYc6G41VFiH618zviG3EOdwa916sm\nLVEjxwccX+HIcx5pNN8zOq1U4Ove0woV5u+H51rleTx8/xcEQRBOWqqtcmCVCHvTdrULrFMOitYo\nV+XAcDdj0wwpzk0yEpxvq30jxo6osle0S2tnARRPx9kVcfZ+7RvSnXF5tobhjmyH85yUry1OXI6f\nt8Y5OlmFe4xQEWcqNKKRnazwTqihFKesX4beuzVaUyuFr2PsKMZccd4cDwfRE02U2mraSbYk+J3q\nkEc01JNQ6JKDzofG0OdL+Uk1DP/vg9+4hPP03b1DdBpnU2ssHg/GoSLOXucsQns0LlmOOM6CIAiC\ng/hwnANIGAI3q8zkwNA3yYpK1qEjzpZg6wLcU5UGLBaHM+5apgjo+IeWMzgbK6PC4Q4nVQ3Sl0tK\nUh2SByOIHMQ5kNuGSEcKrzx1trDUTOU237cADmlKxXpTV1aqER0WZfhd7qHfUIR6EIrgbIQL2UL0\nGucIvoOOrhxtTG1GfGztHteaQ6IUwgyP585QuI6goQgg1RAEQRBOduJCqqEimmQEUUs1vLJqGIS6\ntercbHd0OhCGUg6ddAQRZ4UGSyJ692bMbz+AxCRU10EAFNvK2H88x932UEkBzVMD5551dKm8HWfX\nrT3K6FdAqUYlPQJF8IiziTPi7DpV4STOhG/j9qNqqOSx6RP19I1mVjbi7Em49Ont0vxzKXvaA2Bu\n+QFyslAd+qI69nVeExWWeT2UhYv8RvI2x+9k+V+HgUeI/Gg5osiRPc97tlWEm/gayeRAJ8olefLx\ntk/QrBqCIAhC5MSF4wxUT8TZ93W01t6TA0Nte/wQNPbPjevCcEe0Ar+a9oo4o1HNT0F1GQhaY371\nLqrLQLRS/H48h73Hc9w38YZJqZxSv2lwu5Ryhr9cEeewIteAmAEizjoCxzYQoSYHuqQXkU7oi+i0\n13TE2Sei7Lu/EU16DDcGweVD3Ro1Z6ozL3JAXL7w1pUYff+A3rHB4ThDxbXh+q5UiPgJf7Kj0ysH\n+z56O+yRC+kVYCfyjCVeGucw11vF3of+/rj6cEWwtdaOOQtEKRMTBEEQTkjiw3GORoIRQTv3jdt0\nxT+D37vd99AG6agQEU0j2Ktgd4o2z2WAYUG17Oj4PTm1wgqtuah93wgdr0BSjcrdvV1bVTodnQe+\neY29xnH6JZG/GwivcXavramIs3PCp3t8vzzOEWjmwxLZ0fHTOGuPse12aNEBdmz0XBl4jEg0zuEm\nBwbaxme56euwa000irBopBomHtHpMA/GFfnaw+i4nVF1VwTbHWM2wmvABUEQhBOf+HCcgYhuSqHy\nPbvWe2kEtEdu5mDa38isczvOwaQaPhFn73xmBkqbaA89ZkQEk2q49zNy3BFnH6lGZdy/iLJqhHCu\nvds7/9+9GfPHhQE9xUbdHDKXUA821YlvRNl3fx0FUqo4RsS2hNhSa0hMQbsLinhElaNO3RihVeHm\nDCjlyF/u/t5FHnEGh27ZEqnj7CGpMfDWofvZ5fWVDCIoURVzcA1g1eHdbD2eDfVbRPBgIQiCIJwM\nxInjXI2TA12RZovhlY4u4swdQTDcc+t9+wjSp0/2AdfWKiobnHd7w/CaaFgZfYXLSa4OlWbIAija\nJdWIoj9AH8vGGHgWqtup3v0dP0SLz2a5Bq6cwVFi+sgFfCPsJhplt6HtxZUvwVw5xY1/tDsxCaxl\nzpUenfo9gISZpBdtxhpXnz5n2vSdrxCJiN1Jw+ICtN0WcVYNu/ZOXRdOGhTZVek4hgPT25KakMzW\n49kOqYZEnAVBEATiJatGxE5tCG2ia3vPyJBXpoyqOV0VEWfv5YGiXH7OsTJQWrsjzpETaJ+ii+C5\ncE2k8nIAK/Eg4aqaF2jb5Qd+48t9jpRxkUs18JgcGmDHGmVwpMdQjjdvV6kHH1Nr8spLotrGV+Ps\nl8cZSFi7GPOdaVHbU9FHZLmg/dPReRRnUcohX7FZKwyrWBngeAUfT4V5m6NRkJjiSLMYwkDtlki5\niCyrBkBxcipJZaWoCP8sOSLOzsmBYRx/73R0wVpVrEg0LLSt39i9tUScBUEQBIgXxzniiDMEndnu\niqh5Rry0djvOwfIKR+rLWoJMDgxkjwK8UtsZBsrpYYdOmuWDyxHykmpQqdfw2qkHDSaxiAjnuEr5\nSzXs2uSHnJ3sLcqlzLRBxJMDPR5yApQ8V0qR374Xh9p2C37uQ7C/6Dj3rfo4qm1MTPzzOHtLJJTN\nBsX5Udvj3t0o21cs8P5VeTl0nit9rpGwD1zhryljzA0Yo67w6NPfKTZ9r1UvZz40+fUaoIm85Lap\nTa88zqGubfdE2DD7qFEO598zu4crki9+syAIwklPfEg1Ik1HZ1jQ+7djfv5mxbL6jTFOv8xZwMQI\nEHH2lGr4dxm5xtlwxKwiUWYEiDg7XFYVvVTDMbh3Vo3KSDU0WAz/SW5R4XSKAmXVyC8vpWVqA/YU\nHsNmmmHl6J42KHAmRw78HOcqV+6QgURH5aLqhKwcaLq086Y90OYRU5l3IAH3Rpvo0mIoK6noVQVq\nHUqqQdgvg2qU4TOuv95E+32Xozj+ysDUJon/exF7aSFq0DkYvYYHbe6pcQ5XcMc7wh/qyDuvSM9U\nd1qjRaohCIIgEC+OMxDRTSmtMcYVD3jdmM1Frzs3d8oyPG/cpsfkwCrqYyscKd/JgeE9aWUYjtn6\n0drgTlERII9zlLikGqZvFDKavpwPJQrF+iN7+Wr/NveqUruVro0c6fxszoqJUbkZIQrQKHBHAYNh\nNe3uc2EoRYKzHHllclV7ySHAmerMY70GDEulXt1XJJuITOTs38Rf4qGat8f88i3H584DHQsN7wI8\nEUWcQxyrgG9KPPbBNaHSRAUYN7JrTCvQpgl2G8Zp49C5FfnOPSdsPrVxCYZS2LXJwPR2Dvsimf4Q\nybXu+p56TVLUlT7fdY2ZM2cya9Ys9u7dW9umCIIgxCXx4ThHKD1QSkEDn8IQTgepwnEOpnGGqkSM\ngmbVCDDdTvk6C8ri1DhHOznQtb1P5UBF1E64S6rhXcgjShfc+VBiKMXveYeY3HUI7T1yUCcaBov3\nbcVuuiZtRSDV8EwTFkCqAQ6Hx4Sg18iBojxe3vw1Les1BOBYaRHTB1/o6L+SumjvyoH+hWOU67qr\nAtUVcTbOmuzfd0Ii2K1AqnPD4BF9xwb+b1NchW6CSye0s5VyX0umr8Y5ioczrRTalY7O4wHYs39w\nfBd981yHz+PsfBgKcT24r1jn6xKLcv1tcR27E9tx3rp1K48++ijNmwfPZ///2TvvOLnK6v+/n3tn\nZvsm2bRN7yEJCSQEEkpECCQYvgFUQLpEQIqoFBUUpQgCKuBXVFD5AgIK+QUhIgKCSEcgwqZBSN+U\n3bTdbMnWmbnl+f1xp+70kuxu8rx5hd259yln7tzZ+7nnnucchUKhONTpITHOJLmgpbhYaRrSMsPe\n5YgLrly3DAqCWQ/ih1kk0gSLFi3iwQcfDE8jRNyMFF3TK2uaRmtre/TAmkDYdprLwSIHD8gFTXM8\nccDfXv0Xsy77PqOuuZubb745YdcHHniAY445hlGjRvGtb32L1pZW+nqKeGltFV+6dhF9Kgdy2Vnn\nsqJ6Z6jPSy+9xGmnncagQYM477zz+Oyzz0L73nvvPU678/eMHDOOR392H3V1dZS7C6nbuYsF8+Yz\nbHAl555zLntWr8cMhMgkSw8Wfo/BqIIkHmcRLwQgjN82mTFgBN+dejLfnXoype7C0L5sYrplF7EY\nszhQyvANW8ZjB36Snpzs+rVI24GruyGUpi44YzJib3SckJwkIVQBYxzNHVgBoAmQXUJY0rzJ04RG\niy+wkLNrrHTKjBkpWkSFf2cWqhGOcT54hbNt21xxxRUce+yxWd1sKhQKxaFCDxHO8S9K2iV3JK3m\nB4DL4wiEgPASWoTHue8gREWlM4Po+sA9hUVdLq5a6FClWK1F0MsZ6XGOSEeXqZALepelpLa2lm//\n5C4WLTyFZ667iOeff55HHnkkpsu21Z/zxz/+kcWLF7Ns2TJ2797N4w/9nqkVQ9n55CsM97m467k/\ncfyCU/nGb5+lvb2d9vZ2rrjiCn74wx+yefNmjjjiCL797W8D0NLSwhVXXMGZs47gw3feorm+gQ//\n/DeKXG4uvfRSRo4cyYoVKzj11FN591ePOzHOCY5NzLEKvD0ndWBij7PTOP54XYVu9L6UJsS3KWpx\nYKynXsvR4yzTls6xPdO6/XJ5wDQjuyWfL443Vo+6YYjTNyAoI7OsSER0qplUafAiGF8+iJuPnOe8\niEjB6KQDTN43WYpEgPBtaxonROD7FjqngjdKB7Gg/N3vfkdRURHf+MY3utsUhUKh6NGkFM6NjY1c\ne+21DBs2jFmzZvH0008nbPv0008zdepUBg4cyPnnn8+GDRvSMmLrnnqmzpnLTX95mcrKSk477TRe\nf/11jph7OjNnHs3bb78dart+/Xouv/xyKisrueyyy/BJzcljK22ue+SvjL7sx0yefjQ/+clPQn1G\njx7Nkr8sYe6NDzB9+nT+9a9/hfYluxauW7eO2bNnM27cOB5/+A94TQMktLe38+tf/5qxY8cy79Lv\nUFWzFyFg6tSpAHz58juob2xi9+7dnH322Qw+/3rOOet8nvtkfRZPe8MxzkuWLOELs2byrbP/hxMm\njeanP/0p7777bkwP27IxDMO5WRACy7LwFBQgbZuXXnqJ22+/nYrBgzj96+dj2TbLly8HwLIsLMuJ\nFbYsi8JCx3P79NNPc/jhh3PtwpMYNnQI191zO+O/NAe3FHzyySc89NBDjBgxgssvv5zm2t3U79rl\nHNtM3qO0SVRVRAvGzibwfnbNuxxJXmKcu4Rq2FKCnp1wjgybTUdPxqajSxOXK9bjnGGMsyY0rGRf\nEE+RU3EzQrQ6WTW6LppMTzgLTcMtItYkyODNZnpPDuK1sKXNa7Wf8+GeLSkLoITGCYRqhMuGJ76p\nOxjYtm0bP/vZz/jjH/+ovM0KhUKRgpRXgx/84Ad8/vnnLF26lBtuuIGrr76aN998M6bd6tWrufzy\nyznzzDN5/vnn8Xq9nHvuufh8vjTMEKzdsJGSAg///e9/qaur48ILL+SJJ57gd7/7HfPnz8c0Tfx+\nPyeffDILFy7krbfeYvv27Vz/6HNg+Hnr7XdYV7ubd395E/949hkef/xxPtlcG5rhxaUv8uwdV3Hn\nnXdy+umn09TUlNQiKSXPPfccP/vZz3juued45qk/8/on6wDJ9773PTZu3Mh7773HycfO5H/+718Y\nPn8otOHFx+5g4ID+/OEPf2DMmDGs/9Mvue6713DzkrcwDCON4xFxZIKLA22bjRs3Mnn8uJComDBh\nAitWrIjpM2bGVGbNmsWECRMYMmQIy5Yt45xLL8I2LPx+PyUlJWhCYFgmli1Zt24dJSUl3Hnnncyf\nP5++ffvy05/+lB//+McAbNy4kYqKCubc/AAjJ0zimd/9keIB/SjyFLBnzx5KSkowDIPf/OY3lFT0\npXzwwLS9e6H8uinEiUwSn9q10l/XfZliSxnxhCEY357fGOd0rYpnvgDkrurkHV2ecH7n0IzJPM6x\noUyRoRrx7BXHnYl23s2BGPSgcBbR82aSdzwyFUtkqEYadxhdP6MgXstk5d5ajhowgpOGTAyMl3ic\nUIxz10W0WtfQkYOHK6+8ku9973uMGzeuu01RKBSKHk9S4bxu3TqefPJJnn76aWbPns0FF1zA5Zdf\nzuLFi2PaLl26lFNPPZV77rmHE088kccee4w1a9awdOnS1FYIga7r3LjwREaOHMmxxx7L6aefzsyZ\nMzn++OMpLy+nurqaN954gxNPPJGvfOUrTJ48md/+9rf87T/LkZuWc5jby19+cAX9+5TR2tpK3759\nWVu7OzC84OrvXsOAshLOPPNMxowZw8aNG1OYJFi4cCHz5s1jxowZXHrZN3hr5UaQktdee4177rmH\nYcOG8cOrLmFs/zI2/TcsYEXgsfiFF17IXXfdhSUllcVltHT6KbMLYuYqLCykqKgo6l9xcTE1e5ud\nBoGLdm1tLeNGDQ/1Gz58eNzV7ytfe4eqqireefcdbn7hT/QZM4wbfnQzfUpLWbBgAffeey9tjU28\n8pdnqW9pw+v1smXLFm655RYWL17Mrl27uP7667nmmmsAqK6u5oUXXuBnXz+LN176O3urtyPeXoMQ\ngqKiInw+H0VFRdx0000cecapmLaVTnazyKOdMlQjWVYNR+hGxiSH98mINuniCPHo+WP65xjjnHbI\nRVwEctVbaEeflriJ7u4iYEkuQOPkDzRtm3XNe4IzxnZxuRHugqhQip19B2K/GfFUKoOsGlEhWxHC\nWSP6BijRRxlvuy0l5Z5CpvQbQr+C4uQnpYhIFxmTA1s7KNcGPvXUU+zZs4fvf//73W2KQqFQ9AqS\nZtVYvXo1U6ZMYejQoaFtkydP5vHHH49p++qrr3LOOeeEXvfv35/Jkyezdu3atAyZMGY0ZUWOqHS5\nXIwdOza0TwiBYRi8+eabLF26lKKiotA+27axXQU0tOzm+4+8wNbNmzjy6FkQTCEVoGJABbQ0AI5Q\n9Xq9gbET23TMMeHyz4dNmsTTO+r4fO06tm3bRmWlEzuNtJGWxZjG5rC9gefwn3++hnPPPRdXZwtH\nHXscgoAI2LERuWl5qH3Ha0/GnV9u+CQwoCMixo8fz97GppDAbGlpYcKECTH91rz9AYsWLWLWccex\ncq3Fwz/7JZdddhknDz2Mcb/8JQ888AA3L7yQcUcczolTxjJp0iT+/e9/M3PmTM47zylwceedd/L7\n3/+eLVu2IITga1/7GicfORkxbgw/v+tuLrzwQrjPma+goICOjg4+/PBD5p++gGNPOJ6xxxyRls4I\n68j4BVAgMlQjgXAmscc5KHhtaaOJ9MSuJLbkdqxwzu3RfboRzjGhGkFRb9swcETijqGsGsF+dsJj\nFNEo6uXsQaNpN1M/MYpcPLl+yGgWNDdEDkraLufImyNNi4iVDsv2RE8QEj3hiJ8VJMHTiUCFz4Qe\n54NQOb/11lusWbOG0tJSwAnXMk2ToqIiHn30US666KJutrD343K5WLZsWcZPG4Goa92Bprvs7q3H\nC+i1dmdLb/6sciGpcN60aRMjRkRfnMeNG8eaNWti2k6bNi0qprmpqYl169axfv36mLbx0PXkQkQI\nwaxZs7jsssv4wx/+AIDf74RHuGYcxV33nMvJX/ofbj6qEnnMAqadcFJUeeDoCmthkjmgIr25n63+\nlGMmjWLi+HEMHz6cLVu2oOs6jVWvsfPZR3hh7pzIUbFsm29961s899xzHOvfTk35SJ58Zomzd8un\nUDEUkUz4AOLwOUHjwbaZOXMmH/7r5dCCwbVr14biqiPpM2gAmqZh2jYuTaOw0B26+amurubnP/85\nJ16/CL9h8P3j5jFlyhQMw0CLEIO6rlNaWkr//v0ZNWoU7e3tBFP9dXR00K9fPzZv3swtt9zCkiVL\n8Hg8fPGLX2T+qacyziggjTwHgUMVkSYsZahGghjnZIsDgyEEGXic7S6hHzGVAyFrj3PkerNsc4uL\n4ADJ+rvcSG87GD6EuyCyZ+JRpUT6OsDXAUBB+z46XJ6U9sQ9PkEyeZ8ivsfZ2RxcfBj/sxZd1iSG\np08c/x5//mDp98jBAjd1B2H877333suPfvSj0OulS5fy4IMP8s4774SdA4qcMQwDM3Kxbgb9upPu\nslsdr97Dofiek6rV2tpaysrKorYNHTqUjo4OGhsbo7afffbZvPjiiyxdupS6ujruuOMOLCu3ympd\nWbBgAa+99hr//ve/2bZtG1deeSW/+MUvAPD5fFiWRUuHlzt/cT8bN23Ga0UKrcRCLp4XS0rJn/70\nJz799FM++eQTnn7yKU44Yjwul86JJ57I3XffTV1dHUte/jcn/e5lrMBJUFBQQNO+NizLxjRNDMNg\nT9M+rr35VgC8Pj9YBmLQCETlaETlaNzDx+MZMSHqX8HIidR2BoSDy4Nc/Q6zOjaz5IUX+e/azSzb\nuJ3bb7+dL3/5yzG2H33GPB577DH+/e/Xad5Zx3333RfyJN9///3cddddtDU28+Tdv+KY8cMZNmwY\n8+fPZ+3atTz55JPU1dVxzz33hMJkLrnkEv72t7/x4rJVbK7ezM9//nMuuOACxo0bx4cffsh9991H\nfX09r776Kh/+5wPOP/drzjFM4zMN+SPtxB5nkSCHdniMaDEVr1nSRW5xbEqWji4/ZF4F0ekV/CV5\nTLgYOBK5bhn2k7chG3enjjUOvF/7lf9Dvv835Ad/Z/R/XmDQ1mBKwsSdIxdPxhymDPI4JxTOER7n\nRDdJGXmcE5ijmwal3vb4HueDNI9zZWUlEydODP2rrKzE5XIxceJEysvLu9s8hUKh6HEk9TiPHz+e\nl19+OWpbS0sL/fr1o6KiImr7vHnzuOWWW7j55pvZvHkzJ5xwAqeffjqTJk1KaYRhWvh9ftpaW9lU\nVUVdXR2GYVBVVQWAaZqsWbOGzs5ObrnlFu644w5WrFjB3LlzueGGG6iqquLcc8/l/vvv5/f/u42z\nTjmRe75zGTf/8Skmnf02fr+fHTtq6dS8VFVV0dnZyfr16ykpKaHN28ryqirGtbWxOTAfONlE5s2b\nx/nnn8+uXbtYeOaZHHnYMH718T+p/Npc3n32FX41cSLDBvTlr4tO4R23TlVVFWeccQbfuOnXjBp5\nFN/5zne45JJLKBUWiy6+gGFGExff/ydevvtGGsRGvLXOI+1ly5bFPS51dXXU1dWBlOgT5wNw080a\n59/+K2R7M2eefwkjR46kqqqK//u//2PFihU8/PDDlAzuzze+8Q3uuPU2djbUc9n5FzFr1iyqqqq4\n+OKLefzxx/ndH37P+KOP5KnzTw0d5zvuuINnnnmGm2++mdNPP51rrrkmtO/uu+/moT/8mi1PvcQF\nF13M7Nmzqaqq4q677uKvf/0rv/jFLzjqqKO4/fbb2bhxI82+JlatWk2JlrzGTrOvmZUrVzKmbg8N\na9fi3V4X02a31YHe1EzN3hb22lUx+7dbbTTaPqrqnPCbE9Z9yNpGPx3lg6mx2gFYvnIFhYFQDZev\nHc0O3yEbnmKk7g69bvA1srptNcXCsX2X0YChNdKpOzmvW72tbG3ewyhg32O3Jn1/Xfmy7aX9g39S\nM/IomvuWhY5vkFZvK0Boe6u3NapNva+eNc0W7sZGalZ/iuVJ8rhr5ByG+t+nafVKBjc3UbNqNVZE\njutIhjc0UP/ZZwxvamTzEceD0PDZbkT9HqqqquhrmTG2Bmn2NbNq9SqKhYs2byttbW1sCrQdVl9H\nw9rP8W7fE7dvJMPq62n4fA3DWlvZuW4dFXt2s6Oqin2+faxYuYICoWNKm1ZfS4wttVY7dXYnVfXR\noSWttkGT0RRqX753CwWd+6gn9r2Iwj4c2bCTxvZ2dqxahVlQAsDuXbso7eig9vPP6azZG9Nv5syZ\nKd9bbyGYiUehUCgU8REySdqBt956iyuuuILNmzeHtv3973/nvvvu4/333084aGNjIxUVFUyfPp0f\n/vCHnH/++UmNWHTKsWyo3sLPFszklN//M4u3EeYLYwdzwpjBAHywpY53q50FglOPn86vTpnK/Lv+\nEtV+4YM/5p833MM/rzyN+X94NenYf77oi/zwpY/Zsa+DhQ/+mJeuu5vrzjiOB06azJddQ3jpPn2D\nzQAAIABJREFUursB+OuvvsMv/ncxnwQusnctmMk/19bw4FePo6apjb3tPn7+xiqqG1qzfp9vfmsB\ncx+Of6yCtpUPG8z0i87g3V8+GtPmqEu/QtmQgdzrauX4n8Uu9ozH7885gf9951M21LekbDv31mv5\n6PfP0LE3efaS0+79Hm/e+RC/Pv0ofvveGtbV7YtpM3jqBC6edzRm1WoefDc2TGjk8TPoO3IIq//f\nKwCYD1zGdX/7kIfeX8uIY49kwS9v4s9nXUNnk2P3mpvP5v0tznkxpKyYD7fWce8bq0LjnXrndbz/\nwON49zmfz5EXLqSxuoaaj5w2Cx/8Mf3+vARNCJ78OPki064s/M1PKP3TM/TtW8rmuSfz+q0PRu//\n9Y9BEDqXgp9lkC/84ApWL36JR0+ZwlV//Q+NHcljkH+x8Bj+umoLPzzlSL655D2aOv1x2z18zvE8\n+O4aHj77+NB38KKzTmTmmMHc+Ou/svKBq5n+vT/E7Tv31mv56OGn6WhoZuFvfsKN66pC5+Zvv3oc\nv//PWj7f0xy3byQPnDWbP3+ykfvPnM0NL3zEZbMncsMLy5j3s+t55+eP4G/rwFVYwKl3fpdXb7ov\nqu/Qo6ZQecQklj8RvRi5bMhAjrr0K7zzcyff+RmHj2Rs/7K459Ed3z2Xn4wq48XaZr792KvsbOng\nynefZuwv/5fZIwfx/ReXUVXbENPvUEzhdvfdd3PCCSdk3M/lcmX1WDfYd86cOakb7ifef//9rGwv\nLCzENM1e1bc75+7O95zrOdYd50h32Qzd91l199+CpMK5sbGRyspKNm/eHIp1vuqqqxBChOKMg9xy\nyy3s3bs3VJBj7dq1TJ8+nbVr10Yt9IvHDy/+Cosuu5whW5axaXps6EE+2ONt4LCN79M87azQttmz\nZ4dCBUQ4MRqnnHIK99xzT8wYI9e+zq4xx2IUlvEP73bOKBxJwY6VTN70AXfNXsgZhSMB6Fz/KhVD\nj6KzzCneUrnlv7T2G86wzf/B8BRjuTzsGnscRkFp1u9n/MoXEh6roG1Nto81ZjNzPINj2qwwGmiy\nfVz0+YfsmnF2WnMO3/AO9cOm4SupSNn2Td9OZrkHUqq5k7Z71VvLKQVDGbvhHepGzMBX3DemzR6r\nE1m/gWmGpH7E9Jj9W81WWqTBEW7HrunvPEzNuDk0DD+CbVYbr/l2cFHhWEoCtkQeu+KWPfSp38yu\ncceHxvuXbwcneipDHuq1ZjNrjGYKAqERndLi6n1eJIKmytRPVCL5h3c7l7T4sI1Onh/Qn3kFw2L2\nA6FzKfhZBnnHt5vp7gqmf/4G2yfNxXLFZmmJZEj1R+zrP4rBNSvZftjJiT3Ogc92xMZ3Q8emo3Ez\nRU21iHFfpN/y/0fTUfFvgN/07WKWewClmpt/eLdzw7rloTGGb3ib+mFHpHXODN30H5oGT2TY5v9Q\nO+EL9N+5hh0TToz6PPzS4k3fLr5UODyq706rg51WB0d7BkRt32f7WWk08sUCJ163z95qPN5W6ocf\nGTN/e+3HnLD5Y7YPHEPr2DkYhWU80rGeO3btpai1np1jj6OzPPa7dDB5nNNFCef06a0isjfarYRz\n5ijhnDlJn6NXVFQwd+5cFi1axO23385TTz3FkiVL+PjjjwHYunUrAwcOpKSkhLlz53LaaaexYMEC\nfD4ft912G9ddd11K0QxQ4CngsIkTsPd+vt8uQut3V1NU8wnjIsY3TZP7V/2b7x3+Rey//xb97BuT\njmHvWc6AadMQ5f15e3UTM4+YyV5zN2yCsrIyZh7hjP3xljeYPHkKYvAop5+/lqHDxmPvXgnF5aC7\nGDBjJqIoe+Fsbfp3wmMVtK2mrYmGPdXMHBfbbm/N59htjRQVFqR9zO3mtQyaMhkxYHjKtivX+Zg2\nZhoVgcfdifjgs1ZmTJ6Bu+FTBk6bhohTKXJLy152mHUMdxczMo6tYm8Nzb4OZg47DADrHRgxYgSj\nj5qJq6EWPt/BlGlTGVAYyByw+Y3Qe5YNO5ErGhgaMe6yz9uZMXE6xYGFcfGOjv3pe6DrjJ2S2fn6\n9uomxg4cTmdLI/1Kipk5eWbMfiB0LgU/yyBrNnzE1BGH02fHxxw5fQaiIPnKZNtbw5BRE7Bbqp32\nhcXx2zV/zqDDD8fevSJ0bLZssDF9e5kwcybbVv014Xmyev2HTB01jf6FJby9uonS0tJQW7txDYOm\nTkVUDEl5bOy2TVQeNgm7bjVTDp+K9O+mcuZMPlnbwRHjjqDMU0i74WfFRi8zuxz3suY9yOY9zBx9\nRNT23R372LljPTMnBD7vjQLZ2sDIo2Lfy6ftmwAoLStj9LSpiPIB/JGZ2G//P6TmZ/KkSYghqf+e\nKRQKheLgJWVOrWeffZZBgwZxzjnnsGHDBhYvXhyKWx47dizPP/884HhpH3vsMX7zm9/wox/9iK9+\n9avceeed6VmRWdLfLEmcziztBUxOOoPorvHy23ZdiKXp4dX6Ujr5dV3JPbGpbUltr2lbuJKkeLMy\nLeiQIDNJ3KZpJtUINUqSVcNZHJi4cmDXvMuR44Yq2iWy21MIfm/UJlvaqXMsh7IvZIYM5PgmnTni\n9Q/OmiR9XxSaBnZgkW7ScybO98PlRrPMwLyJ+w4r6cvj6z/ggdX/pk8g5jr8ICuTxYERRUYiSm5H\nLg6U2PGzZCQogJIs40pXZLBd3MWBB3fJbYVCoVCkR/KVW0B5eXncgifg5FAOIoRg0aJFLFq0KAsz\nkojaPJHo2imCYjiti2tsdbWE6jBSBAYq/4XUpGVGpcrbX5jSxpVAjOpCy1w4Z1A9LV3dnFZWDYRT\nkS7BiLa0oyr9EdEyaG1dZ2tIPPexTPZ1OPHOwjQo87bR0hGO2/aaZnpiK9tFVClSmyX7Kji7grnX\n0phf151jm7KCXzzh7EGYqVMGzR8+mfnDJ4deW5996Ih13ZVZAZSEWTUi0woS97NJlPPCjik0k7wA\nCsEZo5rJQDl4JZwVCoXiUGf/q7d0OCAe5ySke3GPI97ihYiLLttE30HYy15C9B2E7GwF2865ZHM6\nBPM4x0MTAsvO1OMskDs3g7cdygci+g5M1jhxbt8IotOrxf8MQtWgE9gbrwBKZMGMyX0rWdkQLr8+\n19/BmzvWOWPbNie1NfJW4DXA8NK+uFN5czOqiBdGCEKiMFHvpMct5F1P0+Ms9IDHOYXQjnNuC7cn\n5HHOCN0VvjnM6HsdYUPE043Izza8EiG2byqPs/3an8Dlgn7xw0ZCAjuUzzk4qQw8NVLCWaFQKA51\neoZwTvIYPm8zJMjDKiWZiaC4eWq7zOVMGH498Wj0iUcjbRu5+G5wJ1/QlZ4dqS/ilrTRE1TL04SW\nUW5jADFhJnL7WuSWz6C9GXH6lYnbZjJuUKhkWXJbxvNCRhTMmN5/OCcNnRjaZa14m4snzAq/XvlO\n1Ou0SCL0UxJ4L/HSfiXKRxyaNviLneb8wVCNVIVI4kU/RIRqxCu5nXhOl1Pkx1OIbGtMP71ZTOXA\nsMc5XAEycQGURCW3NSGQtoVc8z4MHY9IIJyjBot8vymK8ygUCoXi0KFnCOckoihfyND/EuzN0uMc\n3+743j2haegXZZb3NxtsKVnVUMuW1gZKE4h0PRDjnJHAHToeMXQ8sn0f8u3/l6KxSC9NV1Dg2jYi\nYQGUQMhFspLbXYcNDd/1UX2CCTIlgfBNo1t0LG/mIzjvJ10xpwVCNVIK39jvoKa7EXbmRYy06Scj\n92xzvgWjDoeS2Ewp8U2IDNWIvJkOH+dEwjlR9UIZbN/e4tywJrvhCR3PLqEaoTLc+/fmXqFQKBQ9\nn54hnMHxUFn7sQRjstVqmVQ36yIu4i8OJDsxlifmD59MXWcrJS4PU/sNjdsmvDgwCzsjBI60TOS7\nz4YXoAWY3byH4i2fY7vcgEAcewaipE/MUFGL3ZJ5nCGxcJYSPVGoBml8FFnftGXvcZZ2/JuWdO4h\nQ5G4aXmcdaRtpT7H40wsQotaM0OMOtwRzBl37Brj7PyuiXBIlEQGnh517Rt73OTG5fRbv4wZvg5s\nVwGUVcSvyx0xRtiO6FAN51hk/pYUCoVCcXDRM4TzgGEwZCzahP2XD1UQXzaIYHx1uosDuxI3VCO7\n+NeMEALp7QAztgDGEQUlEEwDVxA//ZieRahG1NxBYeH3Iht2oZ18QVST9VtXM7ByLMWFpchPXoOW\nBogQznJXtXOzFCzpniyrBgQWB8b3ftpSxsQkhxcHpuFxzoYsQzVCMc6JnkqkG6qRLlpEjHPSUI3Y\neTVNj3hqcABuBLsIZxnhcQ59nlLGTQUU77jJbZ/RNmYam6TFmOGToW479n9fSTK/FmsHRNzUKeWs\nUCgUhzo9QjiLgmK0ycfu/4niXPdkMIYj28WBieY5AB5n+7n7Ef0qE+6XbY2Iw2Yhps+N2acJgS3t\nLPVQhLCQNqKwBNE/2rPd2liD1a8SUVyOLC6P8VzKxl3Ij15k2mEzEYYN++oTZ9UQyT3OEhmboizo\noUwnpCLLUI2cYpxtO2H3pFk1Mng4AqQf4wwxJ3M2cfC5IQjlQQkcI+fXcBiGnSQ23O76BiwTX1kF\nXmk6C3Ob69K74RECWb0KWV8DgGyuQ5RVqMWBCoVCoegZwvmAkMxjlEm8akyIcwKP84Hw0HkK0f4n\n8QI9ubEK2Rq/5HW/gmI0IXBlk90jMp+zbSX0FIeOTLxDISVixim0mz4o6YM252wIFByJmS6Yji5J\nqEZsVo3go/399ElkuWAsHOOcODNy8mwkGXrQNR0Mk7RinLt6nHU985SFuRAUy0I4gt/XgWxtpLSz\nDdHaiDT80NFCaWc7srUxqqurvZmijlak4Ue4A+eRbWELDU0Gs2WkyEMeOIeaJxxN/842MJynOWLK\ncc6NnfI4KxQKxSHPISSck+zLMh2dlDJ+qEYu3sh8kiSue1z5QG6Z/iXsjZ/mNm6C/MtRj87jiV4p\nYfBoNpmdiIkz48etRkwng3PFIbQALHJbgn1xFyxm5UnM0eOcwHWcMhw707mCoRqpzkkhkNvXRneN\nSsF2AERjZL5zoUHteuR7zzO9dS9FNRuRuotS0+CIzhbkjs1RXcsNP0e11CObGxFzvupstCxsXUeT\nZsT4SRY7Bo6Pr/8QtIroJyj2R/9QulmhUCgUh45wFsT3WIZinNPy4oXH0ITAa5lYMtGFeD8L57TE\neaqVZtnHOIc9zomEc+To8eyIPObJ34fzGD7xTYAdL1QjNItEREbF5uumJsvH9k6Ms0BKK77FInXi\nt4wyoWiaszgwRU8xaTZyx0a0WaeHtqVbcS9vhNISipA3Xzv9m3y4cRnzh02muLicprYmPt6zmXHj\njo7quq+9iU/XfcSQ1n2hbdIysYQIv4+UKy9FqFnsrlwyoSgUCoXiYOGQT06aUR7niCaT+lby6Lr3\n2dKyN06zA+RxTpl+IflCs6xjsSOzDkjL8WrGocnXQYO3nU7LZJ+vAyPS2xc45okLWkRMh8DSNOSm\nlVgvPoS9/PWo/fFCNcJ5f7u+xTifTdYxzll+fYSW8KlE6gQgGabBi/I4JzFp0Ei0GacgRk8NbdOF\ndmCdrEIEPMJa1M1YdMnt+DdJzjmiO+Xsg9gmttDCxytSmMebPiic4ya1zuYN9Q527drFWWedxaBB\ng5g/fz6PP/44lpV5GkKFQqE4FDiEPM7JyCCrRkCQLRhxOIw4HLvTh9ywPGox2oEKcU5JSg9bth7n\nyBjn+B7nSX0rWVa3FYAj9tWxyfYzqKiIk4ceFpg6fMxTCUEhoKmsH9pFP3HiVl95BI6aF34XCXL7\nBvZGC6EsPc6ybhtyxybHnvFHkW2ohgzcrEg78Q1D0qiiTCfUdNizHTpaUowcz47wjVfq25t8EOtx\nDmyNWhwYtwAKOMI5MqWlbWFpWlhoJwmRAZBasveY6rvUeznjjDMYPHgwL730Ep999hk33ngjgwYN\nYuHChd1tmkKhUPQ4DhnhLEWk36rrzjSVroBY6RKbZcPxOO9nZ75tpVeBMKluztIzHhWqYUGc6oQz\nB45k5sCRTpPGesrL+rI1MkY5g3RuweIWojCQYq+LNyxeyrlwjHMXYZ5xWopAt1Vvw8ARsHcHsrAk\nNxGlaUBmxWciyahf5Rho2YsYfXjGBVt0IcLZ4TLqmSWB/NYI4RQLuvGxwOawHYk97gJT08CMKBFu\nWVhCiwjVSB5uUVlU7vwsLo9r28EonLdt28by5cvZuXMnlZWVzJo1i48//pinnnpKCWeFQqGIwyEj\nnBNd+jPO4xyjm2VgT/hh8gERGZYJQSGZkBShGqE2GZJGjHPX9pokJl1Y+qWYk7+L+F7IgIey66P9\nbD3ObU1oX/wackMV2GbWoRrBGOesBXyGjzNEUSniyJMzngfArekYtsWvP32Tr2Q1QoYEQzW6fD66\nELywbRXFLg+tfi8jSvvFdNWE43GWkR5n6RytqBhnO3EKxgFFZdhARUG871U636Xex86dO5k/fz6V\nleG0lpZl0dDQ0I1WKRQKRc/lkBHOQkviMcqoAEr8MUTQIxb8fX/HOFsG6Ck+vkzK0GVCZIyznTjG\nOdw+4DOOKiqRvgB0C531zXv41eo3ADi7vZnnA78DNPjamNR3cFSfyKwaKWOcg3vampDLXiHuZ9xc\nj/AUITUdTH9GHvNI2g0//9qxnuEtexHisFgbUg2QPFQ5r3h0F6PK+mOmVbI7DySIQT5r9JG0GeFC\nP2XuwnidAx7n6OqjtrTRgks5Ui3wS5p1hIPS43zcccfx6quvhl6vWrWKv/zlL9x9993daJVCoVD0\nXA4Z4ZyIUAGUtEM1YkaI/pnJeLlgmQjdnbxNysWB2doZIciTlMqObK6JLtWO0+kXoMxTyL2zvhzu\nuvZjrhs0FvoMQBSWArEZICIXk8XEOCd6z417ABnXQyuO+ZLzi66DP82CInG4asoczLpaSvfUMGLU\nkbENUoizA3FP1m0ILbCaM/q8KNTdFKY41zUhqG5vpr69iY+2rgLgOF87H9dvY1rFsMD42Xv6D96D\nHmbEiBHs2LGDESNGcPnll3e3OQqFQtEjOeSFM5BhqEYirzWsbdqNJW3noO7vC620wZXGx5fSSZa5\nnVEhFraVOlQDgZAgiYxxzsx1GimM7cPnQNVr0Hcw2gnxgwhkxH1MTIxzos/GMqCsH2LAsIR2CE13\n0rtlKcAGF5UjS/siXR40TzzPaXIyDdXodSRM75icAYWlXDjxWEo3rGRqPycHc4nLw/zhUxhW0tdp\nFFGNMD6H5uLAIK+//jofffQR999/P2eddRZvvfVWd5uUd5YtW4ZhGKkbdqGoqGg/WKNQKHojh5Bw\nThIom268arzFgdLZ8cUhE6hudVLTHVtYut+Fs5h5GqKkT4pGESEV8chQvMbFlmnEODsPy+0o4ZH9\nAkpt6hxkRSVy86okrcJZTqIjNZIIZ9tKHf4STO9GdqEaACkr2PUkgtliDoRYj6wcmCGaEIwtH4Cl\nuxlXPgAAW3czvs/AiPFzCdU4OIXzZ599RmtrK8cddxyTJk1i0qRJlJSUcMEFF9DW1kZpaWl3m5hX\nDMPAjFxAmkE/hUKhgENIOIsEYQsiKIbTulbHE9+OEJvRfxhHBbJcWCvf2e/CWZs+N3WjlDbkQQgk\nyeMctsM5vHbXGOdcjlEKERSMp47NuJHEY2sZoKUpnHOxP3BDY3/0j0Ap5zDTjU4+HD4+effsZs0a\nEe+Gcb9MpIFlJK0imXKI0r7Yf73P+b3voC47RfLPLenneXAuDly5ciU/+tGPqKmpCW2TUjJhwoSD\nTjQrFIpDE1tKLGnjTqVV0uSQEc4QPx1dZgVQ4lw8ZRyPa9axw/kmHS9Zjnba6cQ4x8mqkesxSuFN\nj05HF7kjyeJA00ztcdZ1Jx1eLsHGAdEvt36GtuCKqF1jnv9VUuEczOFywIisvHcA5srW4xxE+5+r\nko+vPM5RnHnmmVxxxRWceeaZXH/99dTU1HDvvffyzW9+s7tNUygUirzQafoxbIsyTyF6HlIFHzLC\nWYhkoRo2aRdRjDtG14tqjt7UvJHiYp+XUI00PM4Bn2/+Pc6J31vCxYEJPhspbSfFnyvFgsuQx9km\n64MXFGGajogMJSCNIWOyhOx/9AMZWpJltpK0EFogxjnR+CmE80HocS4vL2f58uU8+uijXHLJJcyc\nOZPbbruNs88+u7tNUygUirzgs01M245fFTYLUqrFxsZGrr32WoYNG8asWbN4+umnE7bduHEj1113\nHcOHD+fqq6/ms88+y4uReSHZ8UrX+ZnI49zVG5WrKMwXKS/2efCMp5vHmXD4RGjunIRzKg9gOMY5\nymMar4CGFhBU6aT4y2OoRrrIjlbs15/E/tcTnPjZB7je+IuTEu8AccBKbweF7X4Tzqk8zsm7H4QO\nZwCmTJnCr371K3bs2MGLL77IhRdeSEFBGsWVFAqFoodj2Tbb9+1lRf02fH5f6g5pkNLj/IMf/IDq\n6mqWLl1KdXU1V155JUOGDGHu3OgYW8uymDNnDueccw5LlizhkUce4dRTT6W2thZXOtkfDgDxrnvh\nGOc0L9YxV0+ZQKD2BOEMSJDedmTV63S1UYyemrtISSvG2cnjfGBjnAM/00lHJ3RHsNkWImWMsyuw\nOJCsFzcm85bH3dra6KQfnL2QFRuXMW7sUbiLyrKbOws0kbDmZn4JFUDZT1U3g+dMwtMuybwZ3uwo\nFAqFovsxpc26hl202SYdgw2KyDybVVeSqoR169bx5JNPsn37doYOHcrs2bNZtmwZixcvjhHOb7zx\nBkIIHnroIQBmz55NZWUlL7/8MmeddVbOhuZKIhe9E+Ocbk7hOGNIHI9lTI7iHiCcnQAJZwFa025E\nxIJCuWMjsmZdzjPIdGKcQ5bkUzgn9zivbtzBlnUfsKO9mQnlEYvE4s2rBUSRmYbHWdfD4i5b85Ok\nRROA1vV4SglFpYh+g9lXUo7oOxiRKqQkjxw4j3PuMc4px08WW59sWk1HrnoLe8unXbZraKddli8L\nFQqFQpFH2jo7qOlsxrCt9KsVpyCpSli9ejVTpkxh6NChoW2TJ0/m8ccfj2m7efNmPB5P6LUQApfL\nRVtbW14M3R+EMi+89zxi/FGpO8QVa4ELcaQ3qqdUqQjGdUsJZRWI4RPD+/ydyF2bs7ezdj32608h\nm/cgJh+b0o6YdHS5xAgHxkzmAZw1aDQzxkwHoI8nIgdrXI9zwBNpmalzYwdDNTSR/bHTNKThixtP\nXe4p4otDohcHShn2wnbHulNdiED+6P1M6DPdj8I5eYPEe6Ycjxh1eOyOlDnMFQqFQtFd7Pa20Oz3\nOn/+/RZ4UnZJSVKVsGnTJkaMGBG1bdy4caxZsyam7cKFC/n2t7/N/fffz6JFi3jooYdoamri5JNP\nzt3K/URI31om2pEnZdCr6yAacsUbSHfgE9lXlzcbcyIYQhLXyxrIDpELwyeizZwP5f1T2KEFKhZH\nCmdyu7nQki9YK3Z50AqK4+yJcyxEoFSzmWY6OstywjuyDtUQToxyHPvK3IXMHjQm3BSBtCPjsrsu\ndtz/HKjFgaKkL3bVvxATZu6nCQLHLYvDJ3RX6vNcoVAoFD0GW9psaasPZNQoiHLu5kJSlVBbW0tZ\nWXQs5dChQ+no6KCxsZGKiorQ9hEjRnDzzTdz0003cdNNNwFwzTXXRHmrex4ZipC4Qk8i5nwVUdov\n3OyUixHuHrK4RiYSzi7Hw5qDCBN9BiIqKtNoCJqU+Q3VyLaSW5xMImLYBOxXHwUE4ogvJu8fKoCS\ng5AUGhi+1AVsgkSE/nRHokNdOzChGmLUFPRL7tiPE6QuDa9QKBSKgwPTtqlta0EC/dwllHryUwE0\nqXAeP348L7/8ctS2lpYW+vXrFyWaAZYsWcIDDzzAbbfdxrx583j33Xe56667OPHEEznvvPPyYmwu\naELgtUy8lkGh7jwiz1wMxA/VEBVDosMgegohT2EckarrYJs5en3TTSYuYhcHkm5ceaK5U1SBS0Sc\nKpHa0afB0ael199TgKxdDwjEUfMynx+cOOqmPTB4dMqmzkODaOF8oNGSVd3sTYTOdaWQFQqF4mDH\ntC3qO1sRwJgI52auJBXOM2bMCC32C7Jnzx4mT54c0/aRRx5h3rx53HHHHQCccMIJbNiwgSeeeKJH\nCOehxX2o1118sLuaCX2cxWKWtDPTjfEdzj0jnjkZ+ytUQ09TOAsNIe3YrBq5kHVBitw83aKoDP2K\nX2bdH0C4C9Cu/t+04mMFAiltRDDjQzfkRNM1LfppQW9lf2XrUCgUCkWPY493Hx2Wga4JJpQPTN0h\nTZIK5yOPPJKamhpqampCsc6vvPIKU6dOjWk7ePBgOjs7o7YVFxczcGD+jM0Fl6ZTUVBMvbeNem94\nweKxg8bA2qo0R0m0OLCHElxsFa/Ai6Y7eYtzIV2Ps2D/pKNLkJkiKT0kGa9Ilb0j2I5AbHhkqMaB\nvFHTXXzhw5fxHgyp2EIxzlkUQFEoFApFr0FKybbmvVi2TYHQKCzKT5gGpBDOFRUVzJ07l0WLFnH7\n7bfz1FNPsWTJEj7++GMAtm7dysCBAykpKeH6669nzpw53HHHHZx++uksX76cP//5z7zyyit5MzZX\nXELjvHGxC4/S9rsGcz5H0qM9zgG7knmcD0SohhAISXRmhjghExmRrcc513kPNMH32U3nmPaV66iu\nXc+61r2M6xYL8kgapeEVCoVC0fsxpc3Glr1IJG63ztaWvfQvKKbEnXse55QK4tlnn2XQoEGcc845\nbNiwgcWLFzNp0iQAxo4dy/PPPw/ArFmz+POf/8yaNWs444wzeO+993j22WeZM2dOzkb2HOLFevYM\nD2ZcgqIrnrjXdaRl5jZ+RjHOXdLR2TmKdqEB2XhBe/DnFQcBVO+rjwrrOJDyTmg6Xxg5hW8efuIB\nnHU/oYSxQqFQHBJYtk29tw3bsinARYuvEy1P6UNTPi8uLy9n8eLFcffZXR6Vn3feeT2G7Xw0AAAg\nAElEQVQinnn/kaDkdk99xOs858dZiBfH42xbiHTjlOORkcdZhtLRye3rkMtfT53/OcWYMlmoRiJv\ndC/zOC8YcTgfLfsHE/o42UtiKiEq0kctDlQoFIpDgnZvJ62GD5B4fQbL927nuH6jKOqbe0q63qMg\n8kGuHqd4lbXzMe5+I0keZ93lZNXIRURksDjQ8Q8HDp4ZrBefa8nt/KSj68lM6DOIMpcnFE7Uk+/T\nejw99nuqUCgUinxhSZv1rTuxbKeg1i67nR3eVra07MzL+IeWcM6ZRB7nHkpk5cB4HmfTzE2EpR2q\nQXSohm2F7cuWFJUDE+7rxnjhbPHoOmbE++ld1vcggk8aEn3+vey8UCgUCkUsPstkc1MzlmVhRqyu\n6l9ekbRfuhxawjnnFGgQ63LuyUIsGOMcx02p6bl7nNONFxJd8jgHQyxyjXHONh1dLzvtC4SOGQxz\n6ZYSKAcJPfZ72r10dHRw+eWXM3r0aCorK7n44ovZt29fd5ulUCgUGWNLG8O22OltRiLxRqR/aGn3\n52WO3qUgup1EhSB66AU5KPRlnGIjoTzOuQjn9FKqOXmcw6EaMm8e5yTCOanHOftpuwOPpmFEvNde\nZn7PIfAdyCmu/yDk61//OsuXL+eJJ57gt7/9LZ988gk33nhjd5ulUCgUGeOzLLY2NdDs78TucrGs\nbm7MyxxpKh8FECzjFr2tJwsxoRGyN16oRmcrpFMyOxFphmoI4dyh7elo4bnq5YzYU83RQF1nW6qu\nyQdNGqqRaHtPfkIQH4/Q2NBaT/221TR42w9sHueDCKFpaNf+DjwFiVocUHt6AoZh8NJLL/HGG29w\nwgknAI4H+oYbbuCPf/wjLpe6RCgUit6BlBK/bfLB7k34DcOpehvB1AE56J0IDq2/ivkQHHG9nD34\nghsM1ehqosuNOGYBov+wrIcWaad2cfJAXHv4FzFsi+KmegA2tNRlPXfKUI2E+3pfqMPUfkNoFTr9\n+gxmar+h3W1Or0YU5C8J/sHA5s2bGTRoENOmTQttGz16NM3NzWzdupXx48cn7R/MlKNu5hQKRXfj\ns012te6jprMJAfiJTrnbZu8DchfPh5ZwzpV4F4ce7XEOLg6MDdUQQiCmzz1Adjie72ElfQGwPcVI\nYK+vAzvbx+apPM6JXM690ONcpLspKi6nsu/g7jZFcZAxadIktm/fHrXt0UcfZerUqSlFM8CO9mYA\nhpX0VeJZoVB0G7a08Vkm7+7cgM8w8HhctPqjhfPIkiF5mevQinHOOQNGorjaHnrBCIaWdHcOs1A+\n6QDSiXH22VZITGeMlqXHuUdXekxAvBh1Rf7pbedFnmlra+Piiy/m6aef5jvf+U5afbyWQbvho93w\npW6sUCgU+4kO009jWxtb25045gEi9uliQ1NTXuZSHudMiHtd7cHp6CKzauRZFGjf+X0GZnQRuYGs\nGueNOxrRL1svaqqS24mEs5PXsVfRC73kit7FRx99xHnnnUdDQwN/+ctfuPDCC9PqV6S72Wd10uzv\npNSTeylbhaI7cblcLFu2DMMwMu5bVNQ9YWC90eZ84zUNTNvm7V0b8Bl+3G6djjjHY+XeGiaOGpXz\nfEo4Z0QcsdbTPZjBin15tlG4M62+06XcNuTkRU35WPggWhzoeJx7mc2KXsOqVatYsGAB06ZN4403\n3kgrRCOIR3djmm10aD78polHLSZU9HIMw8A0zdQN4/TrLnqjzfnCtC18tsm25r2sb96NLaDSU051\ne31M25njxuRlzkPrr1wc8SEzDN+Q++qhvia8wbYSN+5uQlk1urnMdNfUcfnI45yKhPHPvVE4964y\n4YreQ1tbG6eddhonnXQSzz//PFraC34ddnY002J6AUmL0ckAV9n+MVShUCi6YEmbDtNPm8/HP2o+\nw7AtCl0ukJJ4wWOjy1RWjfyQgQdSDJ+IXPdfZNMep+vuajD8iCNP3p8WZk8wtri7FzDGhGrkIY9z\ntvRKj3MvtLk3cgge41WrVtHQ0MANN9wQs0hwxIgR6CkW7+oIdCHolCYtfi8VhSVo6iZPoVDsZyxp\n0274sKVk6ZYqmrxtaLrGmNIBrG3eEdPeBWxvrGPMwNwXCCrhnMHCKzF0PGJo+DGm/dE/kGs/6sEh\nswHDuntxoGNExK/JsmHka7rYOawXH4KOFsTUOft//nwiZfpVGhU50N3fkQPPp59+imVZnHTSSVHb\nhRBs2bKFkSNHJu1f6iqg1fDisyy8tkm74adMxTorFIr9iC0lHQHR/Pr2tWxraUQiGFfcn7p9DXTE\nidU0Ab83P5UDDy3hHC8sIxdvntDA76XHXnCDIRLdnZUhJlQj4HHOOctJYJjONuSHf48Wy/GG7mxD\nP/9HeZnzgCJtEO7utkJxEHL11Vdz9dVXZ92/X2EJ9b5WTNumw/Cxz9dJscuDrm70FArFfsCSNpbt\niOc3tn3Gf+u3Y0jJkMJSyt1FrJC7EvZtIPM48HgcWsI5HrmISiGgvRlKyvNrU74ICeduftSfIKtG\n3jzPOzaCy4M43Kl8xpBx0JRDcZVuRkoZvfixuz8/hSIB29sa8JoGAoHXNOkwfXSYfordHnQVsqFQ\nKPKIaVuY0sataby2bS3L6rZhSkkfTyFDisv5oLE6+QAiP2vSDi3hHLeASQ4ZCwIXBlHUkxfE9ATh\nTALhnKPHua0J+6U/IJvr0L5wNqJ/oKpeZ2soDj2I7C2ZKUJl3SOFcy+xvbejDnHG7O1sw2cZFOoe\nhBB0GiZ7vW0M0fogdIGmzluFQpEjUkoM28KWEr9tUd3WwK6CfVhS0l8roI9ezH8bt6f0J3v37IPh\nudtzaAnneNg5xI9qPf2iEKgc2N1ZNejicZb58ThrF94KluFUQSyO8PqX9EHWrsd69pcRc0rE8MNy\nmu+AEHxKEHlqSYlQ3jtFD6RAd+O3LfyWRbHbTaftp8By0eBtZ0BRCW7NpcSzQqHImqCXGQkNnW1s\nbt2L0AWG9FAIFLrcbOisSysIQ6gY5zyRU6hGDxczQgB29y8ODHlRA9gW4pRLIMcS0qKwOP72fpXo\n5/0wp7G7ja7x4ND9TwwOGdQxzpQi4aJJ2kjAbWnoQsOwTFrxUqBplBYU4RI6LhXzrFAoMsCybUxp\nI6XE6/ezvb2RPZ2tGNKiWCukCIG7qISdnfvSjlwuGj4gL7YdWsJ5fywO7MmIgMe5u4WXADpakHsD\nKWI6WhCHz0Goi2kc4pUSV8L5gKAOccY0mO2hW2KfbeHGRZvhow/Q6PcihEaJuwBbStzq+65QKFJg\nSRvTdgRzp+Gjtq2ZOl8LPstCAhpQhIZdUMDW9uaMxq7r3JcXGw8t4RwPaWf/GLxXXAh6QIxz30Eg\ndOSqt5zXhSVQ1q/77OnJCBEbwtLdWVEOFcr6I6Z+obut6FV4rfBiG4mNYVmg6zQbPvoCjYAhLfp6\nivHZNpqtzmOFQhGNlBJLSvymQZvpo9XwsdfbQqvf58Q24/g13AiKXQV0YtPi68h4nk31DTApd3tT\nCufGxkZuvfVWXnjhBYYNG8Z1113HRRddlPvM3cF+WhzYYxGak6Ghm4WXKO2HOKWXnjMHGhWq0W2I\nolLE/EXdbUavxQL8lh+Bk46uzTIoRdCKc1Hs6y7EdEks20RDoAstOnuMQqE4pOiw/LR0ttNm+J2M\nPIYfr2XQaRqYMiyYCxAUuYrpMNtpNr0U69nlih9FQV7sTimcf/CDH1BdXc3SpUuprq7myiuvZMiQ\nIcydOzeq3WGHHRZTeUpKyejRo1m3bl1ejM0Zb3v0gjEAywxnY8iUnv5HP6JyoLpA9RISCWcVR6Do\nBRiA27KwsZHSeexaLAtAgM80GahBgXBhShtT2OhCQxdCVRtUKA5i/JaF3zLx2yY+y6DTMvH4PHj9\nPlq8HfhME69tYFgWlpSAROCsofBJEy8Sr9mesx1tGDmPASmE87p163jyySfZvn07Q4cOZfbs2Sxb\ntozFixfHCOdXX30VwwgbJaXkggsu4KyzzsqLoflAu+SO/A7Y4//YR4gtJZx7B3GFs91LwoIUCujA\nosjSsXQL23LiFf22QZmnkEZfB8WamwLNhcflwrJtLEAIC02JaIWiV+O3DHyWid+yMGwLv+38tKSF\nYdvO9106/0oposPw0+zrCMQ0g0RiI0PrJkyZn4IlQTbQkJdxkgrn1atXM2XKFIYODXtkJ0+ezOOP\nPx7TdsyYMVGvH330UcrKyrjtttvyYmg+yLvXtadr0WC8rAw+8FD0eIQWJ8ZZhWooehedWBRbAk0H\nvzSxpY3XMumDBJekwWqnWHdT7i6k0OUJeacjRbSGkwdaPS1TKHoGlmXhx0k/aVoWBdKg0++n1deJ\nHciAAWAFUsiZtsQKPH2CQGo528KSNrrbTYfpp8PKrzhOxnBK8zJOUuG8adMmRowYEbVt3LhxrFmz\nJumgtbW13HTTTbz55pvqj163Ejj2Snj1HoSA+hpkZKq9tiYQY7vPJoUiCzowcVlQIDxYWNiapMPw\ngS1pN7z4XAW0Gj48mosydwFlniJcmhZYKOSIaHAcHpoQCFtzLrjKI61Q7Bf8loHfsjGlhWXbGLaF\nEfjdtG0nBAtC2WXLdIlh+mkzOrFC/h4nzELTHCeQFcjz7jV9+CK8yR5pESfP2X5lav8xqRulQVLh\nXFtbS1lZdFW8oUOH0tHRQWNjIxUVFXH73XrrrcyfP5/p06fnxUhFlkTEOCvh3DvQDjsGWb0qeqPu\nhn6V3WOQQpGELhnaYzABU/qdC41l4ZYubNvCaxp4TQNN0yhEp83tpa6zlUKXmxKXhxK3h0Ld49Rw\nCqy4N6VNm98LQgRio53QDl3TlJhWKJIQ9BSbgRhiw7IwpUWhXYTP76fN24mNxO7ytFNG/N+2A6+k\nAA2EBEtKbASa0BHCxm+ZtPi9TogGuRU42x8U2vmxKalwHj9+PC+//HLUtpaWFvr165dQNO/evZvF\nixfz8ccf58XAHs2Bvl3KlGC8rBLOvQYx8RjExGO62wyFIi3S/RMYfBjrlxKfbdFuGWhAoXTRLmza\nfX50oeHyCfa5PehCw61pFOoeSlxuilwFCF3Hb5kIoSE1iUk4FZ4QIhDaERbTKtRDcTBjWRYWNhga\nHYaPTp8vEE9sh240LenEFduBBXdBb7EM/N5HFximSadlhG6CBSACrySOYLaF7UR9Cuj0+zGkhc/y\n01eY+A2Dfd7MU8N1B62FB0A4z5gxg4ceeihq2549e5g8eXLCPg8//DBTp05l2rRpeTFQkQuBr4LK\nA6xQKNLklVde4aqrrqKmpma/zmMDHXY4vlEE/5k+CnQ3OgKNDjxuFwKNsqIi/Hu24tE1yj1F9C8o\nwaW70BC4hEDTNFxozs+IxbRaYMGhJgSW7Tx2FsIRB0pUK7oTKR1xagVif9t8XvzSxLKcqnnBWGEj\nED8cXFxnShnq26ekFMMyaPN6I0cOjO+8Cp7rmsTxKge+bD7LcISz4cewTPymiYVzUyoh4tY0Pj3P\np5wcv5Wf73tS4XzkkUdSU1NDTU1NKNb5lVdeYerUqQn7PPPMM3z3u9/Ni3E9nx7ucg5WDgz+rlAo\nFAmQUrJy5Upuv/32tAWljiBfkYqS8J+rDisibZTlA6BNGlTv3gCmiYZGcWERBUKn2F1Ake6i2FNA\nmauQEpcHt6bj0lx4NB2XruHWdQo1D22GH8MwAl5pHU0TER42ESGoIz1vit6AlBJbOuEGdqAMvLTD\nwtQp0eOISQsbJKEMDrZlYSMpkaYjJH0+LGRozKC/Vnb53UYGHuralJaUYhgG7b5OZw7bxkJiY2Nb\njtfXwsYOVMUzbDMYMUy/sj4YhkFLCs9t5HckuOTfcIFhGLRG9BWB/amErd+lYRoG+7IoJtIbKXOV\n5GWcpMK5oqKCuXPnsmjRIm6//XaeeuoplixZEgrD2Lp1KwMHDqSkxDGmpqaG6upqTj755LwYp8iV\niFANhUKhSMIll1zCM888A8Dw4cPT6nOgl/dYQHtAEjR7W52NnfHbaoAe+OkGylwFFNQ3Y1pWIOWd\nQBMgNIEekMiacOEKiGeX7gqEekAfsxTbtPEb/tDCp2BctRYIEwGcdHoBb7dtWQigGBvLMOg0TDQh\nnHcRdIhLETiCwlE5EtDCx7RY2BiGH6/hD22zExxyu8vf+VJpYJomXr8/focUpNNfC9xgyUDsaFDM\nlVrFGKZJu68TG9AQWFhhIRvwoDrC1FlOZkuJYRn0LSnBME1aOtoBiWE7AtW2HREKzmGykehCD71v\nC0lFWRmGYdLibQ+0C/4XJlJ8Rm4D6B8QsNmEHvTHcERoFn1NnHM70/wSznEgLe/woU4ZMLRvn7yM\nlbIAyrPPPstVV13FOeecw6RJk1i8eDGTJjk1C8eOHcsTTzzB17/+dQDeeecdSktLk3qkFQcQoUI1\nFApFetx9993cdNNN/P3vf+eRRx7pbnNyJtLj5sMRUaXYdJi+jMfqb/uyFkX9y/pk3DcYb5pN31zm\nzVf/XPp6PcLpa6bRV0bLRR82Jha+LIMIlIvp4EIDBmiFuNwuCjVX3kKzUgrn8vJyFi9eHHef3WWF\n4sUXX8zFF1+cF8N6Bb3hW2b6wdehQjUUCkVSRo0aBcDy5cu72RJFb7i0KBQ9HRuos73OnTNQXbOd\n0RUDcx43pXBW9GJ0HdF3MLTvgz4DutsahUKhyBohBMUuT9b9c+mrUCh6P7vszJ82xUMJ54MYITTE\nad/objMUCsVBSLs/PxehdCl0e3DvaEHzJghqTkFFaTmtKmRNoThkcbkOQDo6hUKhUCjisau58YDP\n2enz0eHzpm4YhyJPQZ6tUSgUvYn3mrdzXh7GUbffOaEi0RQKxaFJXWdzd5ugUCgUaWOkbpIWyuOc\nCyrNm0KhOERpyjh5lkKhyBXR5acrkHHcg0DXdWdfIJFzMD2gIFzTQYtw+BUJHUtITOFC1/XotH3S\nDr2WTrnB8L7AzwKhIzDwEM5gY9GzXYq2bYdSRmaLEs4KhUKhCCHSLFPdky+OCsX+RCdc6dIFCDSK\ncWEJgRAWuu5CF07+aiE03C7NyRcunXqYLkB36aGS8H2LSrAsE2+Rs27A5XY7E4UKmHUNDwh/P8uK\nSzANA3+gaJAWaqFFdg/1iBSNxUVFGIaJYRhdvs8yavogph0oLBMo611SXITPMOjwdWLbTmEZO5Cf\n25I2NhLLlk4ZGCkxTQsDiWlblOhuDAl+zYVpW6F825H/kpGt9LWx0XIMtlDCOQfEgGHIcTO62wyF\nQqHIG5deeimXXnppd5uh2M+IFL+7cMSLO2J72Nspon5G9hQIykQBpqYjdIkWVnKhyowAmhb4Geij\nAbrmpm9RKabHpMJV6AjPwMjuwM1ccVEhAHpA/OhoCBxPa0lxCZZpYhoGboFT6EaAy+VOWAMy8iax\nsLAQ0zQxzcyfpnRb34JCDM2FabqjtscKTxmzzaO50HTQoxzK8X6LGEWG9xa5izCFm1LNnXI+23LK\n1wQrOxYVFeMzfHQUejFtp6qi1++jU1oYlokpbcxAiXFbSmw78BOnYqkGeHCKxkigMFDF1CZ5IRmf\nYeAqyE36KuGcA2LoePSzvt3dZigUCoUiRwSxXiwNgUTiwqnw5xFaTIRevLLcAU2IQFAodEwhMTW3\n481HBKoVOt4/DdCFhiY0dHRcmgiVBK8oKcW2bbxFPlzoCN2pTKgH5nQFxaMelBKONxTheBOlbWOY\npmNjhJnplBMvLCzEsqxeJiILMHUdMxCycKgQ7ylR7Kcbu0XXNGTgXza4dR0hJSKdsNXARyIDbQs9\nhZiai1I9ctFu2NNt2k6pchMbn99Ps+mlw/TTafrRXW6KCspo1/34TT9GoDS6Ji0sbEo0D5aUGNLE\n10XSN/o6KCkoyur9BlHCWaFQKBS9DoFzLXahBTxQggK320nDKQSaEOi6FvJM9isqw/CY9NELQTgu\nNseD5Txa/v/t3XtQVPcVB/DvfewLF3TFBXYFQUGeEgNBkyZNBfPAtKa1ah6jaSe+mDTaOJO0Nk1D\nhahj7MRm6piKTsYgSURsYnVSoJ0hUQrJqKkMi6GxiaBRqKKCiASFhT39Y3HjCiJ3uezC9nxmSOR3\n7y7ncK9nT25+93ep92qVcPOX4PzTOL0RPZpuGCWtq/+QBAkiREiiCEkQIAsiZFGC3Ps4blkQIEsS\nAg1GwOFwNoLCd7G7/7N3/JbmZyhNpFbWoLu7GyQOoqnph1pPWWPsZjfOqxvNvuh2nn33Z0kSXc12\noFaPCQhybZNlGVNj78KJtnNo6riKC9eu4lt7J7odDnTaO9EFgtjjnJJhkGW03vS00NoLDYgICh5S\nDtw4M8YYU8Te03PnnRS6MW9UFiVAcDbCziuxAmRBglk3BqTpwThJD0lwXrUFOT+AJUGEgxyuZ1U7\niFzXrnp651x2986zBMg5NUAAZMF5Bdc1yUCAsxkWREiiAFmUIAoixo0xwtHTA4fOAUkSIEGCdpBX\nNXWy3NvA8iJWjKkl1BiEUON3zfS5tss40XYB9Vcv4lt7F653d+FaVye6HO616pNztZgTM31IP5sb\nZ8YYY4pc6bgKCSZFr3FeHRYgQ4Becs5MFXunLogQIYvOL52kgVaSoBUlSELvDFhBwNgAI7o67eig\n67i5IXbAeSMSwQFQ75xY181UIuTefjVA1sIhOKDpbchlUYJGcF4xlgUJ2t6r01I/DbFe13vlV+SV\nRBgbiSxBJliCTMhAHP5z+b/4T+tF/PfbVnT02HGp7bu136+o8LO4cWaMMaZIO9kxdoDtN+YLO1cQ\nECDLIkSICJR1MEgakOCc6qCXZOglDbSSCI2ogSg4l4vqBqGn98agHupBj4Mg2TvR3WNHR0+X201q\nguCcUywJmt65wSI0ggSNKEGWJGghQZIkBI0Z4/G0B8bY6BFnsiLOZMXJy+fx+cUzON/WiivoUu39\nuXFmjDGmyO1aTwnovXosQSc6pzNIogQJ3y27ZRC1MGkNkEQRXQ4Hehw96HI4cK37Grp777i/efWF\nGze2SRAgihoIMpxXo0URWkmGtnfaRH9Xihlj/79iTGEIN4xD67UOVLf9V7X35caZMcbYkEhwNrYB\nkg4GjQZybxMrCiL0kowAWQuRAEGU4XD0oK3rOrrJAYB6V5r47ma8G1eLtZLs+rdWkhCkH+Ocq8xX\njBljg6TX65FstnDjzBhjbOQYo9FBL2igk2XnurmihDGyDgIRusjZKBMIelELDQlwwOG8+U5wNsU6\nUYZO1sAgydBKmn5/hiRJ3DQzxhSbYjSr+n7cODPGGBuSMbLeuUqFJEMmEQTCt71LQDmfjgbIgoQA\nSQe9ICFIGwCDpB30yhSMMeYpa9B4Vd+PG2fGGGMec94E6IAACQ7qQRcczjWNIUIryjBotDDKOhgk\nGTqdjq8aM8ZGNW6cGWOMecz5IeJc1k0jitCJGhi1OozV6m877YIxxrzJAuCcSu/FK7IzxhjzWICs\nh0HWYKzWgMgxwZg8dgLMhkBumhljI8as8BTV3uuOjXNLSwtWrlyJiRMnYubMmXj//fdvu29DQwNW\nrVoFq9WKmJgYbN68WbVAGWOMqU9Jje/POJ0BEcbxmBQ4HgatdpiiZIwxz00Pi1Ltve44VePXv/41\n6uvrsW/fPtTX1yMrKwsWiwWzZ8/us++KFStgNBpx4MAB7N+/H6+++ioyMjKQmpqqWsCMMcbUo6TG\n98diHAejVjfMUTLGmOfGGwyqvdeAjfOJEyewa9cunDlzBlarFffeey+OHDmCwsLCPkX1b3/7Gz77\n7DO0tLRAk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68oKCiI1q9fT6WlpZScnEwPP/ywL0P32GBzXr58Od133310+vRptxp/7tw5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\nxhhjbBC4cWaMMcYYY2wQ/gek0IfJokfjvAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaad0974f10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Zapdi8j0P1X+sKOP5VJ+320FxTmjGDsqGEj9Tf7LkE8bEyHE1RGAYeW6EsXCz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\ndudzFpvFVUVFhbl48vLygtFoNI898MADmDVrFurr6/H3v/8dV69exe9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AuXPn0NTU5HKP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\nfAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaac78e7690>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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QTz31lHDc1atXMW3aNCxevBhZWVlgWeuX7fDhw7Fs2TINpmgfqJRhH1krOq3o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\nmHwRERER2dD/B5n27TyW2ZRMAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaac7916d50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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UlVRreYlEIpHUbZKojjNRDg4MuiCAmXEGQNPcdYRPjtoK9tg4GYlWv+nCJEbU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\nFp3PF55eyZuLzueuQwbt9Ue4PC+dX501hl+/+ynfeS36U7STuQDKZ59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ne7comQ2OZgrh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\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaac9ad4fd0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"BUT when I apply this to real data, I get very strange results. The last row especially seems to not be working at all:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"real_data = pd.DataFrame.from_dict({'M1_01': {0: 0.02,\n",
" 1: nan,\n",
" 2: 0.93000000000000005,\n",
" 3: nan,\n",
" 4: 0.040000000000000001},\n",
" 'M1_02': {0: nan,\n",
" 1: 0.17000000000000001,\n",
" 2: nan,\n",
" 3: 0.71999999999999997,\n",
" 4: 0.01},\n",
" 'M1_05': {0: nan, 1: nan, 2: 0.91000000000000003, 3: nan, 4: nan},\n",
" 'M1_06': {0: nan, 1: nan, 2: nan, 3: 0.67000000000000004, 4: nan},\n",
" 'M1_07': {0: 0.089999999999999997, 1: nan, 2: nan, 3: nan, 4: 0.11},\n",
" 'M1_08': {0: nan, 1: nan, 2: 0.87, 3: nan, 4: 0.01},\n",
" 'M1_09': {0: nan, 1: 0.16, 2: nan, 3: nan, 4: 0.029999999999999999},\n",
" 'M1_10': {0: nan, 1: nan, 2: 0.95999999999999996, 3: nan, 4: 0.01},\n",
" 'M1_11': {0: nan, 1: 0.22, 2: 0.92000000000000004, 3: nan, 4: nan},\n",
" 'M1_12': {0: 0.01, 1: nan, 2: 0.96999999999999997, 3: nan, 4: 0.001},\n",
" 'M2_02': {0: nan, 1: nan, 2: 0.81000000000000005, 3: nan, 4: 0.001},\n",
" 'M2_03': {0: nan, 1: nan, 2: nan, 3: nan, 4: nan},\n",
" 'M2_04': {0: nan, 1: nan, 2: nan, 3: nan, 4: nan},\n",
" 'M2_08': {0: nan, 1: nan, 2: nan, 3: 0.059999999999999998, 4: nan},\n",
" 'M2_09': {0: 0.029999999999999999, 1: nan, 2: nan, 3: nan, 4: nan},\n",
" 'M2_10': {0: nan,\n",
" 1: 0.089999999999999997,\n",
" 2: 0.90000000000000002,\n",
" 3: nan,\n",
" 4: 0.001},\n",
" 'M2_11': {0: nan, 1: nan, 2: 0.96999999999999997, 3: nan, 4: nan},\n",
" 'M2_12': {0: nan, 1: nan, 2: nan, 3: 0.51000000000000001, 4: nan},\n",
" 'M3_12': {0: nan, 1: nan, 2: nan, 3: nan, 4: 0.050000000000000003},\n",
" 'M3_13': {0: 0.01,\n",
" 1: nan,\n",
" 2: nan,\n",
" 3: 0.51000000000000001,\n",
" 4: 0.029999999999999999},\n",
" 'M3_14': {0: nan, 1: nan, 2: nan, 3: nan, 4: 0.001},\n",
" 'M3_2': {0: nan, 1: nan, 2: 0.91000000000000003, 3: nan, 4: 0.001},\n",
" 'M3_4': {0: nan, 1: nan, 2: nan, 3: nan, 4: nan},\n",
" 'M3_5': {0: nan, 1: nan, 2: nan, 3: nan, 4: nan},\n",
" 'M3_6': {0: 0.070000000000000007, 1: nan, 2: nan, 3: nan, 4: nan},\n",
" 'M3_7': {0: 0.001,\n",
" 1: 0.080000000000000002,\n",
" 2: 0.82999999999999996,\n",
" 3: nan,\n",
" 4: nan},\n",
" 'M3_8': {0: 0.02,\n",
" 1: 0.23999999999999999,\n",
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873dBOyGEBFMkBlEMBVMRir1RR/Em1It2/LvgEL67lIfUWBuA5toeaL0x4W4I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\n",
"text": [
"<matplotlib.figure.Figure at 0x1e5e8290>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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BNtBy1VTVlVB1AJo5g13LC9vfj1KhcNp6tJ0VGazStAVaPWjWIyHEf9atW0d1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\nADDJ/wGomedZj+4GPQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2aaac54890d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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