{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# From the normal model to regression\n",
"\n",
"##### Keywords: bayesian, normal-normal model, conjugate prior, MCMC engineering, pymc3, regression"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import scipy as sp\n",
"import matplotlib as mpl\n",
"import matplotlib.cm as cm\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"pd.set_option('display.width', 500)\n",
"pd.set_option('display.max_columns', 100)\n",
"pd.set_option('display.notebook_repr_html', True)\n",
"import seaborn as sns\n",
"sns.set_style(\"whitegrid\")\n",
"sns.set_context(\"poster\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The example we use here is described in McElreath's book, and our discussion mostly follows the one there, in sections 4.3 and 4.4. We have used code from https://github.com/aloctavodia/Statistical-Rethinking-with-Python-and-PyMC3/blob/master/Chp_04.ipynb ."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Howell's data\n",
"\n",
"These are census data for the Dobe area !Kung San (https://en.wikipedia.org/wiki/%C7%83Kung_people). Nancy Howell conducted detailed quantitative studies of this Kalahari foraging population in the 1960s."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(df.height, bins=30);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We get rid of the kids and only look at the heights of the adults."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df2 = df[df.age >= 18]\n",
"plt.hist(df2.height, bins=30);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model for heights\n",
"\n",
"We will now get relatively formal in specifying our models.\n",
"\n",
"We will use a Normal model, $h \\sim N(\\mu, \\sigma)$, and assume that the priors are independent. That is $p(\\mu, \\sigma) = p(\\mu \\vert \\sigma) p(\\sigma) = p(\\mu)p(\\sigma)$.\n",
"\n",
"Our model is:\n",
"\n",
"$$\n",
"h \\sim N(\\mu, \\sigma)\\\\\n",
"\\mu \\sim Normal(148, 20)\\\\\n",
"\\sigma \\sim Unif(0, 50)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pymc3 as pm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### A pymc3 model\n",
"\n",
"We now write the model as a pymc3 model. You will notice that the code pretty much follows our formal specification above.\n",
"\n",
"When we were talking about gibbs in a Hierarchical model, we suggested that software uses the Directed Acyclic Graph (DAG) structure of our models to make writing conditionals easy.\n",
"\n",
"This is exactly what `pymc` does. A \"Deterministic Random Variable\" is one whose values are determined by its parents, and a \"Stochastic Random Variable\" has these parental dependencies but is specified by them only upto some sampling. \n",
"\n",
"Deterministic nodes use `pm.Deterministic` or plain python code, while Stochastics come from distributions, and then belong to the `pm.FreeRV`\n",
"\n",
"So for example, the likelihood node in the graph below, depends on the mu and sigma nodes as its parents, but is not fully specified by them.\n",
"\n",
"Specifically, a likelihood stochastic is an instance of the `ObservedRV` class.\n",
"\n",
"A Stochastic always has a `logp`, the log probability of the variables current value, given that of its parents. Clearly this is needed to do any metropolis stuff! `pymc` provides this for many distributions, but we can easily add in our own."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"with pm.Model() as hm1:\n",
" mu = pm.Normal('mu', mu=148, sd=20)#parameter\n",
" sigma = pm.Uniform('sigma', lower=0, upper=20)#testval=df2.height.mean()\n",
" height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`testval` can be used to pass a starting point."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [sigma, mu]\n",
"Sampling 2 chains: 100%|██████████| 21000/21000 [00:11<00:00, 1885.46draws/s]\n"
]
}
],
"source": [
"with hm1:\n",
" #stepper=pm.Metropolis()\n",
" tracehm1=pm.sample(10000)# a start argument could be used here\n",
" #as well"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"//anaconda/envs/py3l/lib/python3.6/site-packages/matplotlib/axes/_base.py:3449: MatplotlibDeprecationWarning: \n",
"The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n",
" alternative='`bottom`', obj_type='argument')\n"
]
},
{
"data": {
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\n",
"text/plain": [
"
"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n",
"mu 177.863623 0.100933 0.000616 177.664168 178.059976 19889.172243 0.999951\n",
"sigma 24.610565 0.940030 0.006250 22.824313 26.480908 20549.336781 0.999952"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.summary(tracehm1dumb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, so our `mu` did not move much from our prior. But see how much larger our `sigma` became to compensate. One way to think about this is that . 0.1 standard deviation on the posterior corrsponds to a \"prior N\" of 100 points (1/0.1^2) in contrast to a 20 standard deviation. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Regression: adding a predictor"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(df2.height, df2.weight, '.');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So lets write our model out now:\n",
"\n",
"$$\n",
"h \\sim N(\\mu, \\sigma)\\\\\n",
"\\mu = intercept + slope \\times weight\\\\\n",
"intercept \\sim N(150, 100)\\\\\n",
"slope \\sim N(0, 10)\\\\\n",
"\\sigma \\sim Unif(0, 50)\n",
"$$\n",
"\n",
"Why should you not use a uniform prior on a slope?"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [sigma, slope, intercept]\n",
"Sampling 2 chains: 100%|██████████| 21000/21000 [00:46<00:00, 448.84draws/s]\n",
"The acceptance probability does not match the target. It is 0.891475946693, but should be close to 0.8. Try to increase the number of tuning steps.\n"
]
}
],
"source": [
"with pm.Model() as hm2:\n",
" intercept = pm.Normal('intercept', mu=150, sd=100)\n",
" slope = pm.Normal('slope', mu=0, sd=10)\n",
" sigma = pm.Uniform('sigma', lower=0, upper=50)\n",
" # below is a deterministic\n",
" mu = intercept + slope * df2.weight\n",
" height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)\n",
" #stepper=pm.Metropolis()\n",
" tracehm2 = pm.sample(10000)#, step=stepper)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The $\\mu$ now becomes a deterministic node, as it is fully known once we know the slope and intercept."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"//anaconda/envs/py3l/lib/python3.6/site-packages/matplotlib/axes/_base.py:3449: MatplotlibDeprecationWarning: \n",
"The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n",
" alternative='`bottom`', obj_type='argument')\n"
]
},
{
"data": {
"image/png": 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nAU6oFySNFB6Hu6RB72y78428Bj3tnSR0O7DyO4fRB2eX12fbuPfHio+9P4Zp0dM79j4+7w4xEEwzFLJbMl0OjRPWVhNPGsge+7PSUudhWeP89YgxTYu2njgZw2J5g0aZ27HgvwFzlRXQnT2WB7u20I1dW/hJIcSDwPsnBkFSSksI8RXgu0KIAPAE9jxVS4BvAmS7VjRJKZ/O7vYt7KQXHwFWCSFWjTtkp5Syb46ej6LMm2d6tnP7M3cSTo31dq1xLMG/Zx39wbHaIJfTwZnHt3L+Gas5aWMTzkMcHOp0OhCrGxCrG7j8tZvpHYry0L+7+PuWLvydx6IPrMK9ci/O+kEAnu5+lrbhA1x95hUc21zUfaGizAsp5c3zcMye6bfK8XlgE/aYKrCvTfnuLiPAykMomrKA4nqCzlgv5c4y1lTlBjcdAwlSaZPVLWWUeeY+ZXhn1P4IhtNREmUpyp2zTypkWAZDST9WxqTOPfMgJaYn8KWClDk9LPE24DgMeiuE02PXUJ0MHmb/eoUz0UmB1cTWDn8qSE98AI/TzcbqtSXpyTGcDNCfHKKprJGWPIHgeLppMINp/uaMaZkMGb1Eex2UpZtxaa5sOewyBGNjY+AGgul5DayGQmniaXs4a/egzobl5fN2rkKKCqyEEA7sbg9vw25xWoKdwe/3wNWMZei7CPgZduvVSyYeR0r5/WympY9jZ3B6DnhNtnYQ4Ebsfu1atjXr9dhzlfwqT7Guw84QqCiLUsbI8JNn7+Zv7Y+PLvM6yrB6NzPQ1czIeCmvx8nrzlrDxS87hvqa+fsBWtZUxXvecCyXv3YTTzzfy28ebqOjrQpnQy/uNbvQXDq+RIBbHvk2HzjtEl61/rx5K4uiTGWKMVVTklIOznVZAIQQnwZuAG6TUt6XXaxRZDKmQoqd2HK2E2MGEyEOBLtpqmxkRc1SwL45648MUumpoL68llRGR3NYeBbhNA0jWckyRobeyAA13mr6O+y63Nm+hk92baW5pgWAlualNJTbXdOGgwkGEz4qAN3tYvPm2Y3NMUyDlJ6mwlP4Rs/XORYorG9ZR23ZzAOjEft8HbijCXp7eqitqJ3R8w8nIzw/sIdK7CSYdfUN0449isbTRK2xr9fmzSum3D4QTpLQxhqRx28/mDg44+OMN/J6xZMZrIomypzlo8eY6jsw/nVeW79y0nO1LAt/11hrnAUsq7eDbKernmTMxZplNdRWzS6QM00T3TLsuSY1x6wCtMc7n2FpNh/P5tWF31NfJMaj+7dSW+mh3iqjzOllZd2q0czClZ5yNi+d3XeiPbwL3dKpddezefNYHZFhmPhSvQwl+6nKVAHgrLRYXjFWIbF58wrKekO4+iM5y+aLsyuAVhbDsix6ensoLy9f/BMECyH+BztgagASwH3YgdOfpZTpCZvfI4S4FHhNoeNJKW8Dbiuw7grgiuz/M9gtYYpy2AkkQnz9idtp8x0YXVZrrqB/2zGQsYMnh0Pjjeeu5W2v2Ehd9cKlP3c6HbzklBWcd/Jyntk1wM8f2EXXzjrc65/HWR3EtEx+tOVX9IYHuPyki3E4Fn//f+WIM9WYqqnMabOCEELDvl5dA3wfu0JvRAiozrNbNWPJmhalnYN216hY+iDLqlpwOBx0BLrpzybTqc6s5Lm+3TTUuzl73XGLKnvogd4QBweirFlWQ0Trx58IAn3UmGW4HbOvOzatsRh4MBihp0dnRUsV8eTYPIHx5OySIVuWxba+nST1NMc0rKa1uqh6ghnpH5cAKarPbJqONn9HzuPeyABLq5sJp6LUeKoW/W++pmlFt8/kC21yM/JaZHQTt8uJaVrs7wlS6armub1DvPTUmQcIpmmypff50fkmy1xeTl16/Ixe29mMF3rw+e1E9QTDoQRLy0Osr16Vsz6WTrB3uJ3WqiZqyvL9XOWKpKL0Jrvt54BJvsb3jDV26582J3czXMjWT02zW2274+0MGUOkDLFg5x5RTIvVu7Dn5rgL+IOUMj7N9vczbjCvohxt9vk6+PoTt2cv+ODUXLgGjqO/o5WRn/UT1i/hQxefwOrW2ddQzhVN0zjjuFZO29TMX57q4Bd/qSbdvANXSxcAf9r7MD3hQa4998pFWWutHNEKjalaMNmeGj/D7ub+JSnlDRM2aQNahRDlUsrEuOXrgJkkdFoUTCwcjN2gW5bFroEDpM00/b40u6v3ce7q0+fkXMmUjtPpwO2afHPpDycZ9MdZ0VxF1bjEPBONzF/U3hPC2RgcO7aRmnFgZRhm3gH1ezuD1Ho0/OEk65bXTlqf0U0O9IbwuJ2sWVr4tzuUipDU7ZvPff5OeiN2S88JLWJRTtRuWRb7fB0MxnzUl9dy3CLvCn4o9+3T/ah09UeIJXWa68sLtlBZlkUgkqLM46SiLP/72R8dHA2qAJJ6ir7o4IyyEs4msDKssVkddCv/DA+DMR+DMd+MvscD0bFWxuHUwBRbjpw/T+N8gfcnbWTY7+/A4/Swrn7VnHWxDKZ9pM00JgYH4/2czElzctyZKiawaskO7i2TUo6GptnEEgMTAy0p5U8PsYyKcth6tncH33jyjrFaKkcl4Z0nYETt7iXlXicffNMJvPL0uftROVROp4M3nLuOc09ezu33tPJk55O4V+1G02Bb/w5ufui/+dyrPqomFVYWzHyMqSrCbdhB1bVSym/kWf8wdgvZBcDdAEKIDcBxwM0LVMa80noah+YoKs2yBVgTbpZCyTA13uopf7MM06A90IWGRnP5Ugzdoq7ai6bZXfae6dpNR0+ElVWrOfP4ZZOCqx377Bu6AX98ypaBhBEnlA5Q467L21w4naFAgj0dfuqqvZxwzJJZ7dvRF6JvONvFqsxNU/3MxnPEM3bc3RE8OOsMbfNBA2KJDIOBOLVVHlrqXQzGfIDd22IhxTMJypzeeW8lMy0LfzhJtZZg+cSYOBvHGKZJLNs6ORhIFAys+n1x9nYFcDo1zji2FY/biWVZhGNpqio8OB1a3oAjk70vyOgGBwejVJV7ZvwZKkQrEMXoholrnrLxJY2xeqR8828W+pVo93fii9uVIdXeKporx8aOJTNJdMsoKnlWxhrXumzMLlHHXCgm3XpQCPFF4GPZSQ9H0qvcArxVCHGzlPKrc1pKRTkMPdrxL77/75+Pdi2pNJsY3nbcaNc/saqeay87bfr5P0qktsrLdZefxiPPtvCDh6qwVm1Fc5rsC+3j0w/cxpdfe82U4wUUZb5lx+hWYk8UP8KF3f3uZVLK2+foPKdijwV+CHhSCHHmuNWGlPIZKeV+IcRvgDuEELVAAHuC4OeBe+eiHLOlGzr7/J0Mx/04NAcvWnYCHlfh1p+Z2jEg2dC4hpaqJsAOtLpDvTRXNVGuVSM7A8QYxlkRJ6Mb7GwLUu9ZwuY1DTTVl9Me6GJ3dx+mBUOJQQ4OVrN22eQWoXwyRgaXwzUa1HXH7e7VYT3IZmafFnvXATuA8IeTRBOZ3JXZO0LLskjpqUn7jszhAzAYiBe8KS50YxlLJwqsmT9WNqAo87ioHDdvVNeA3fKX9CdYUpt7TRrwx4nE06xqqcbjnvukHSMCaR/P9vZR4S7nlKXH5Q3c5yodvS+YYDiUxIqHWFWfpL56+vHMhVqO9nYFADAMi35fjFWtNew/GKJnKEpdtZe1q8rpDE7OjZPKGPT7Ygz44wQj9ufrjIrWorL+FigxAEOBGB1DQWoq3Sxvml31w/6e4LTb6NbUXWPHv49pM8WuwTZqvFUMxwOjyyOp6GhgldbTPNu3E9OyOK55Iw6jjAF/nGVLKqdsvR493/gHJUi7XswYq+uw5/r4BTD+Ff8WkAS+JITwSynvmJsiKsrh54G9f+en234z+tibWM7wzmPBsi9Kb3n5MVz+us3zVoM0VzRN4+WnreS4tZdw011VDNc/iuY06Et084k/foVvXPApqryLMzBUjlxCiGXYY3vPmWbTOQmssDP/acD52X/jxbDnuQJ4L3ZW269iB3t/Az4mpczfJ2eetQe6GI77SKQMyjxOdg5KTmjZhAMnwWiKmkpv3m54OazcWujOvjBejxPLOjAaWO0YsFNTB5MRUsNLcGluDkQHWLG0nFA0RVLXqfcs4Zm2DupaE1iYZBOGkTQSGMbMbn6GYj72+tqp8lRyUuuxU24bycSIG0mOyQZi/kSQMpc375xFI4KR/LXbPYlOQj4TM11Dgyd/q9ZwsHCQVKgVYSYsyyKayDAcTNDaWDnpptswLVJpvWAXNID+yCAdwYOsqFmKI1NNW5d963b2iUtxuyYHSuPvRdMZgz0dfsDuunn8+uzznxD06IaJQ9PQtNlP2DtiKNXPEhqIZxIk9CShkEk0kWZ1aw0et5MXBvcSTETY2LiWurI6DNMazZY729d4OGS/17qZ5l97utiwtJk1S2smdAnNPea+gyGWl09dATDy3HuG7AQZwUiK53oPEIgk8bqdOYHB3m4/NVru+xmOpSe9x8NxP7phkkobVJbnrrMsiwF/DKfDWTCw7/fFs8fOsLxpyuLnkL29dAfGEpQU866294Qwx32gehPdxPodaEBjbVneox4M943u88LgXgyfnVCnbzg27bg2jeLH282VYsLiDwA/llJeOX6hlHIrcGU2e9/HABVYKUelP+55iDu3j80F6g6tJigF4MDjdvKJd5zCeacc2hwlC625oYJvXnkxX7q7mt3WA2gunaAxyCfuvZVvv+nTVHpVy5WyoG4FzsYOrjLAu7FbhxqxJ62vBF5Z7MGzXQ9vLvR4iv1iwAez/0puMOajz2fXhleVu1nZovFs306q9ZUM+e0bS5fTQarCwJtNH94T7qNuimx08ZROPKUXDMjao3updtViYaHrud2fepPdDHRpHLNi8iSwhmmhGybeKVpE5LCdMDiSihFJRan2Vk3axrIsDNPCl7Jrw/f7u6gpq6Ldb48VPWPFyQXHiO4/GIJ6K2dqC8MyiBsxqihnODVQMLCaUoFAY/zi8UknwG5rGAmIeg9Co7eZQX+clsZKQtEUx6yoo6LMxdY9AySSOhtW1bG0MX8l1z5/J2B3PRy5SQX7hntly+QWjPGBdCKlj9Ya+EJJwrE0NZWTWw2e3tk3GiBPmkgWSKZnV7cQiafY2xUd3Xf1ijKGogHae0Ls6hhmY/Vx7IsGWJtn7NtU7FTkY4KZAMFMAL0ng6ZprFtem7c72+jzMBJEMmFq3VNPZJwxMzjQcDpcDATGWqTWr6jFkw1mkymdmST+3etrp6MvTEY3WVJXDqvtTIiDgQSBpJ+tXXupdtfy6uNnN5bINM2CXS4DiRB7hvflvBbFBCzdA7kzUKTNFEPZhiqX0zHavXJ8a+DE88T0CBXOqtGg1bIs4kk9p8V1bN8Je5dgiEUx1eUrgS1TrH8KWF9ccRTl8Ha/fDgnqHIMrycsNwEOltSVc+vV5x12QdWIMo+Lz1/2Wl7V8HYs3f5BCzPAx35/K/H0wvdjVo5qrwJ+KqW8DLuLngX8VUp5FXAy9vQfbylh+RaNkRu6kW5uGUNne0/b6HrdMOkeHLv56Q71jbZATSUSzxRepxcel2OYFsFocsIyk3+/0M+/dvbhDyenHaxvmCa7O3zs7pg4B7RFe2+Ifd1BYin7Bno47h8NqgA6At3sHNhDd7B30k0f2OOmDHPc+SeUpTfRRUesjfi4bnwZs/BrMXIM08w39sS+6Qslw+zzdUxav8/fiW4a+NJDGKZOMm3Q0RsiGEnx/L4hwrE0iaSOaZk81SZ5omuqW7NDY5g6Q8k+/rlzL/5YmJ2Du/GlxoLB8a2OA744yXRu9zB/OPc97+wP53S9nPiex8at84eSGKbBoD+e896Yln2u0TLkSdZgWRbBSArdMLEsi+f6Xsj7/PqSB+kZtAO5kTPkuyX3pYcI60G6Ex15jwMQTcXoiO2lPbYX3cyMfgcB4on83eYMy5hU/mg8jWlaJNMGmWwlxXAwQVJPsXX3IJ19YbZ0SSwswpkg7b2BfIeeEGqMe/2wuy7u7fbRGxoipY9l9+sO5Uw9Oy9CkRSxRIZAJEk0neDJA9vY2jV5Mt+eRBf9ybGU/Dv3+9iye4B9B6fvplgKxbRYdQAvp3AXi3OA+X9HFGWR+UvbI/zsud+OLRjCKbM2AAAgAElEQVTYQKxzHaCxsqWKWz54tl3bdBjTNI0Pve48qh91c0/3L9FcOhFHHx/9zdf57lv/kwrv/M27pSjj1AFPA0gpQ0KIbuAM4FEpZa8Q4g7g7eSmQ1eyonoY3dRxZbPmZfSiptmaVlrP30ox/h46ZkR5ums79e4l1HrqR5NWjGeYFkOBOImUTrnXxWAggZXsxzGhbjgSy5DO2M9lKJSmonny7+1IUobO4WG8iWW4HbmtL+mMSWdfaHTM18RwKKrbwdiuoTaggd5EN1E9TJWrGstajmVZdIV6cGgOVtYuQ9M0duwfpm04wLKmKqrHtfaEoil2H/BjlOW/IQZGA5T9MZnt5mThdXhxOzys06uI61EOJuwWqZY8Y8xMM/e9TRhxkkacGvdYyvykPnGmnMkGUr32c8/A77aMjReqddfhckxuOZgYSE5sOOjoDdPRG+alp67AsiwOxHKD+UAyCOS+f7o5+XM6Epwlkh2YlklrWW5XMdk9RFvfIBlHlObm6ceHJTJJtvfvmnY7sLtJ5htztmd4f/ZzY+XNpDc+kYQvNUjKTBLVI2hoGO06Z5evYjAQp6s/Ql2Vd1KE1zEQyOleN+LZgedzy2dMDvgta+y9iMZT7OnwM5DqBU+Mta0NnL78pCm7clqWNWeJttKGOTq2r983VvmxYXkjrgkfqYgeZil2C6o/nCSaCbOtq5eaqk001421sB9Kt9u5Ukxg9WPgViHEQeB7UsoDAEKIVdjdHy4DPjt3RVSUxe+RA0/xv8/+evSx0beOdLcdVIlV9XzuA2fm7T5xuLr0JWfiflrj7vZfoDkNoq4ePvbbb/Ldt/8nZe7Flz5YOeL4yJ0zSgLHj3vcCczfLJSLXDiu0+dP4Wwt3JKcsdK4ZnALMFXb0chNVjKtE09mqK0aq1jRLZ0Bv05DzfTZQ9NmmoFUL7Ue+2Y/mPaTMVM0eJtxak66ByJ09oXpiITZsLKOcCyFaU5OJnFwKJrzuNeXpKXVpG84hqbB8qax7kShaIoGLTMpsAJIZUz2dAZoKStcEZbUU6SNFFE9DNgB12AwQlt4LEAoc3nxUk0klsbMlm9zZcPoa9fZF8asjDOcDtDcandimjjnT8+45zTSzSllpkiZKfb52zmYKJwC2x+L84fnn6C2yj0aAIwk+0gaSTZqDewdbic0oQVx/8EAtdVeltSOPf+RgHIi3dJx5ZliNJUxeKHdh8vp4MQNTViWRUyPMJjsw+Vws6J8jT3/lGUR1oM5qcGTaYNOXxeNjhV4neU4NAcpo3DwN77lqy/ZDdjj70zL4qkDz42+bg1GHaFoikBk8mcH7MQov3rqn9RUeWmuL5/2Jv1fO/tZs2zspj5hxNnj76e8IrdVaLw+Xwx80FRfTkRP57RSWVh0xvbR8e99AKwsXwNRGEznzmrU3hOg0jWzJBR2RUP+b/ETHdsYjCXt5BMZOxDTTR1fLEw4Fc27TyI1Np4vnpo6aUVcj6KhkTATDKcGJlWEFKrQaevxsXlNAxndoHsgtxw79w9jWMbo3FoPvrCNy895acEyGMb8VBpNpZjA6hvAJuCTwDVCiJFSO7Dj6p8CX5mT0inKYeDZ3p388Jk7Rx/rfWvIdG8ANE7Z2MT1V5wxh1l+Fo+3nflinC6Lu9p+geYwCbu6+MRvvsV33n4NbteR93yVReUR4INCiN9KKbuBZ4F3CSFqpJRh4KWAv5QFLKX9ffaNWMxfeJrJuB7F6ygjkLZbiHyhxKTB9dNpG+hhRV0LB3rt4CIx4UZr5DZqNrXIcT3GYKoPsLtHtZavsAOQbHbVWCKTPd70Iz4yhkVb91h3IX84SWM2WDAtcloCkkaCrnh7zv4DyV6qpriB7cm2FI3YMbiLsrKxFoy9vgO4rQqSeboKWuOSgpimxb6DQUzTYu2y2tEgKBBOjrbA5RPXCyfMsIC2YR/1RgPBqMaGlbmTOo901xyM+SYFpGndZCiQoGEGmfLyCaR9/OH53ei6xYry1RwcKONApJ2+hN0ylzEyBDM+6j1L7NbHcanIh0MJhgL284rTgcfhZU3lMXm7Sk4nY2ZyxwhZFoOBwq9ZX/IgpmV3nw1GUtOmPjcti/aesW6v3fEDEIfVrdMHPUMFyjH+U92d6GBVxTpiE75XPYkuyp0VrChfM+U5OgeT6P4o6eqxQHL8x960zEkZ/XbsH+LZvh0FsxX3hoZY5W7C43RP6t45uk2iiwpn1ej3eIQ9wfDM6IZJ31CMVCa31Tue1NHHfZ8S+tTDEA4Op0imdco8C3dPMusxVlJKK5u44iTs7IC3A/8D3AicKqV8n5Sy1Ek5FGVBtPkO8M0n7xi96OuDK8h0C0DjvJOXc+P7zzwig6oRF7/oTN62/hIs0/6p9jvbufa3PyxJLZFyVLkZaAH2CyEage8DDcAeIcRW7J4Tvym8u+JLDxFID+NL2+NkBgMJugejZCZ03ys03imR0vmnfIFndo21mIRjuQGECWDZ3f1SM5hPZijZz8FxY1fCeoj+hD22IpQ59Dh5MJBgb1eAWCJDIqXn3MRODKpGjLTUGBO6tpmWlTNfDoxNjtrvi7G/J0g8mSGQCDI0g4lVdcPCtGB/TwjTtNjRPkj/FIExQO9wbkA0FIgTjto30ePfNj07/ikw4UbYsuxxPIXk6242E0OpfjK6iYVFd6KDUDyB5so9z8jnwc44OBbhTgw40mYqu62Frlvjlk/dfVE3dfqTuQlBRjIBFhI3YjmPCwU/I0KZ/F04O/vzt+4Vo9DnMmHEiRlTn8ca7ZCYSzdMBnyxSZ+vdMYgEE5jAb3DMfLZdlCya7Bt5AR5RfXIpKBqtgKR1LQtYiM6AmPjr3omVBJYWHRkK34WStF3fFLKHcCOOSyLohxW+iKDfOXR7412UTACzWQ6jgU0Xn/2Gj745hNzsksdqd5+xnkkMmn+1P1bNA36tRf43L0/54tvuaLURVOOUFLKvUKI44B3SSl9gE8I8XrgJuwA69bs/5VxgpFUTqDkT08ezxRP6tRW2S0mumGyvzuI11k4Rfl0iSb82W5XnfH905YvkPFNWhbWQzQYTXkTExTDMK2xOZuMOOXOihmNGfFNuCn3FUivnkobo13NOvsjrGzOzVw44I/R0mC/nkkzSVdsPw4td5yO7ApgT4M2tYmtWSOBQ8Yw8UdyA49k2ph0Iz3gj9M9mL/L1wjTtNgbyZ/wAZjUIpTvZt8XiZLRcssa1kO0zrC3roXF7o7c16Mztq/g9lt7d7A/tJ9E2gRtrOUlWKALYLEGkr24NDeVrsnZKReCmWfS4WlZcHAwOql1GeDgYIQm11jLZiI5eZtgNE00HRs51LQB7qEo9MsyUhk04gkpqdrUSFWFm6SRIJzJTWoxsVJkvhUVWGUnP7wAu8Yw32hAS0p566EUTFEWs1g6zlcf+z6R7A+MEakjve8kwMGlrxZc8moxZwM8DwfvOeeVxP4R45HBPwPQpv+L2/5Sy7WvfXOJS6YciYQQDVLKPuBrI8uklI9gdxFUCujz5dZCT5VWGuyWFxO7dryQlDn/GUENjJwgcK5ulIbTgxiWQVNZ6+z3zdP60ZUny+BE/nAKr9s1OuY2OQ+v32AgQTSZG4ge6J2cqXGq1iqwg6rpWs3GN40FM36GUv2TNomnUgwlJweiwbSPOk/j1McvdNopPruJTJL+YJpk2qC+fn7nWexLdLO+alPB6/3IGLxSSVu5wWQsmckbVIE9tvBgpmP0cWTihNmj7Ne+LxCkI9ZWYJu5F82EieihSa9pPKXzQruPmmpHnha+hb8PK2aC4JcBf8JO11KoxBZ2jaGiHHEM0+BbT/2Y3ojdvcNMVJLeeyoaTj705hN4w7nrSlzC0vjwyy8k8ECY7ZEnAHg6+CA/e7yG95xb9HRCilJIvxDir8BdwB+y80cpc8BOQuEFrBllCxxI9ky7zaEyx7VW9fvm9q0OZHxFBVaHwhdOEE9Ok6J9AcQKJKQYsb+ncNr8EWY21XdUDxdMcDGczt8VcjDVj8dRRsKY2/fUtKxZz5tV9LkwaYvuYmP1cQtyvvEMa/qucoNGD/XjskUenKaFciY6+iIc1xRmry9/N8W5kG/C7ZGEFfn4UoN0pRbHsNpiWqy+CkSB9wHPAXPbtqooi9yd2+8ZTcdq6S7Se0/FaXm55tJTp50V/Ej3/153GZ/6fZhOfQeaBn/q/j2Nz9XwxpNPL3XRlCPLbcBbgTuBhBDiT9hB1gNSyvnrm3IUCEbTNNWbtPeEZtQylMqTnW86s23MD6THugjOR68efbp5qA5BvnFK6YxJOlP6j2kx791EExN45DNVd7HhVP+ct9rJzum7Uc61oeShjSkq6pwzGLs3HxIpnd9veWpevovFmtg9sJSKCaxOBG6QUt4914VRlMXu7+1Pcv/ehwGwLI30vpPxWDVc//7TOW1TS4lLV3qapvHlN32Ij959G37HATSHyc93/ZyGymrO3rCp1MVTjhBSyuuB64UQp2DPV/VW4G1AWAhxD3aQ9TcppcqiUoTxmfTmw3BwdjfSE5MKzLX22N55O3bP0GJuTC39nfF03VEPF4E5SK5yOFlMQdViM+usgEBpQmRFKbE9Q/u5Y8uvRh9nujZRkVnKf33obBVUjeNyOvnGxR+nIpPtXuPU+fa/f8ievoNT76gosySl3CalvF5KuQE4Ffgu8CLgzxzFE9XHzRhDxuJ9+gs9mFzJbzHU8s+k1SxpTJ2dT1EKW/jfmmICq9uBDwsh6ua6MIqyWPnjQb722A9HM1PpgyuoSWzkKx89l01rJs92f7Sr8Hq57aJP4krbGYYsV4rP//3b9AYnZ/1SlEMlhHABS4FGoAZ7/O/C9wdaJPzmAClr/pNKKMpCCOTJXqkoi1UxXQGTgBt7/pBHgCGYNOuXJaX8yCGWTVEWBd00+PIjtxPN2IM+jXA9jZHT+a+rzx1Nm6tM1lhdzZdeew2f/svXsDxRDFeUTz9wG9+/+Aaqy+Y3U5Ny5BNCuIHXYHcDvBCoBQ4CvwbuklJuK2HxSmYmCScU5XAycb4wRVnMigmsbhv3/0K5lC1ABVbKEeE7j95FZ6QDACvtpTVyHv/10ZdQX1PcrPRHkzVNTXz63I/wlSe+Be4UKWeAT/7hG3z3LZ/G6/KUunjKYUoIcSfwRqAa8AH/B/xKSvl4SQu2KKhudoqiKCOKnei6WLMOrKSUxXQfVJTD0q+eeoSnBuz04Zal0RI9jy9f9UqqK1RQMFOnrl3DB8Lv546dP0Jz6YTo5TP3fYfbLroGh0P9nChFuQC4FztJxUNSyoXJrXwYOJrmz1MURZnOdJOYz7WiJggeIYSoApYD3UBKXdyUI8l9/9rBPe2/Q8t+S5oSp3Dr+y6i3HtIX5uj0qtPOoHB0Dv5Q88v0RwmPel93PLX/+Gm116pbgSVYrRIKdUgojxcTlVZoSiKMiKjTz/f11wq6hdYCHGKEOIf2IODdwFnAi8XQkghxBvnsoCKUgr3PbmPn71wJ5rL/kLW6Kv45mXvVUHVIbj8JWdzVvUbsCw7kNoV3sb3Hv9NiUulHI5UUKUoiqLMRGaKedTmw6wDq+y8IY8Bq7EzBI6IAOXAPUKI8+emeIqy8O57rJ2fbP01jsowAF6rmm9cfDVejwqqDtU1b3gdx1gvGX38aO8/uHvbQyUskaIoiqIoR6qFnt2hmBarL2N3/TseuBk7rS1Syn8BJwC7gRvnqHyKsqDue6ydHz/2V1zN9pxLDpzcfP5HqCmvKnHJjgyapnHL295OY/zk0WW/lb/nH23PlLBUiqIoiqIciRZ6jFUxgdU5wI+llHEmpB+SUoaAH2EHWIpyWLnvsXbu+OuTuNe8MLrs/ae9g/WNq0tYqiOP2+Xg1ne8l/LIMfYCDX6w9Wc837u3tAVTFEVRFOWIkl7sXQGx56yaaiRYFdlWLEU5XNz3WDs/+uM2PMc8h+a0c7Cct/oMXrX+3BKX7MhUVeHhaxdfhSO8zF6gGXz50e/REegpbcGUw5IQwiuEUFkbFEVRlBx98YW9ryjmQvQ4cEV2pvscQohG4CrgyUMtmKIslD893s6P7n0e99qdOMpjAKyoWcqVL7pUZaybRy0Nldz8mqsg2gCAoaW54a/fZDDiK3HJlMOBEGKFEOInQohBIAa8TAjxUiHEQ0KI00pdPkVRFKX0dHNhE5YXE1j9P2A98CxwHXZ3wNcJIb6InSGwBbhpzkqoKPPo4We6uP2eHThbunA19gPgdXn55DlXUubylrh0R75Nq5r4xJkfxIpXA5DRYlx3/22Ek7ESl0xZzIQQ64At2JPUP81YLwkHcBbwqBDiRSUqnqIoinKUmnVgJaXcDrwECAGfwr6gXQtcD/QAr5FSqpHoyqL31I4+/vvu53BUBXCv3DO6/KrTL2NFzdISluzocvZxq/ngye/HSpUBkNACXPuH20jpC9svWjmsfBW7S/om4H2MJVH6B7AZGARuKVnpFEVRlEVi8SevQEq5TUp5HtAEvBg4G1ghpTxVSvnoXBZQUebD9r1DfO0XWzAdSXtclcP+4r1uw8s5Z9XpJS7d0ef8UwSXbXwPlu4GIEQf197zbQxDzTmu5PVK4AdSyn4mJ1HqBr4HnFGKgimKoiiLxwJnW+eQJuaRUvoANSBCOazs7QrwXz/5F7qh49m0Hc2TAkA0ruNdJ11c4tIdvd505snE0pdw78FfojlNBs12PnXPD7n14v/A4VB5CZQcHiA4xXoTUH15FUVRlAU168BKCLFrJttJKY+dfXEUZX519Ye5+Y6nSKYNXCvacNb4Aaj1VnPN2VficqpJgEvpspecTeShKA/77kHToNvYyWd++1O+8tb34nCoRCLKqC3A27FbpnIIIcqAK4BtC1ymRWGh52xRFEVZ1A6DCYIHgYEJ/4azxxKAE3h4rgqoKHNlKJDgph89RSSewVHfj3vZAcCetPbjZ72fhoq6EpdQAbjq/FdzVt1rRh93WM9w/a/vwjDMEpZKWWRuBs4SQvwFeAf2pfMUIcSV2EHXscAXS1c8RVEUZTFY9F0BpZQvK7ROCHES8CCgxlkpi0oknuamO55kOJREqwjhXb9jdN2lJ7yJ41tECUunTPTJ176Jr/01zpbgYwC0a4/xqZ+7+MI730xFmbvEpVNKTUr5iBDiTcB3s/8Abs3+HQTeJaX8a0kKV2LWgt9GKIqiKCPmdOBCNmPgd1Dp1pVFJJnW+cKP/0X3QBTcSco3bQOHnRThzJWncuGm80tcQiWf6179Tk6oOxUATYMu7z+59o4/4AslSlwyZTGQUj4AHAOcjt1qdSlwLrBSSnlXKcumKIqiHJ3mY0CJH3ueK0UpOcMw+dovtrC7ww8Og4pNz2G5kgCsr1/NR854j5oEeJHSNI0bzn8/n3swwd7QbjSnyXDDo1zzA/j8u89n7bLaUhdRKTEppQlszf5TFEVRlBwZfWGHEcxpYCWEOB74OLBvLo+rKMWwLIvv/XY7z+waAEzKjnkeq9xOJNZQXsd1512F1+UpbSGVKTkcDj53/n9w44Pf5ED4AJorQ3zZE3z6h/DpS8/jtE0tpS6isgCEEA8UsZslpXzDnBdmsVM9ARVFUUqmmKyACfL/dLsZ61p4yaEUSlHmwi/+vJuH/t0FWHjW7karGwDA43TzqXP/g4ZylazicOBxurnxlR/hsw99nd5oPw5vEnPtv7jlJ/De15/MRS9Zr1odj3zHMvuQQYUYiqIoyoIqpsXq1+S/YBlAP/BrKeWOPOsVZcHc91g7v3m4DQDX8n04m7oBcGgOPnn2laxrWFXK4imzVOWp5MaXf4wb/nYr/kQAR0UU1zHP8uP7HOw/GOIjbzuJMo9KlX+kklKuKXUZDhcqeYWiKErpFJMV8Ip5KIeizJnHtvVwxx/s2N7Z0oF7+f7RdVedfjmnLjuhVEVTDkFjRT2ffenV3Pjw14ll4jhrAnjWP88jzzroGohwwxVn0NxQUepiKgss2wV9DaAD+6SUqiu6oiiKAoDXUbag55vTrICKUmpbdg/wjbu2Yll2UOVZvWd03eUnvZmXrT2rhKVTDtWK2qV85iUfxu20U647GwZwr95Ne0+Qa771T3bsGy5xCZWFIoR4uxCiA9gO/BF4AJBCiB1CiFeUsmylpNqrFEVRxrSULVvQ883lGKupWFLKytmeS1Fm47m9g3zpp/9GN6xJQdWFm17NBUKlVT8SiCXrueas93PrE7djWRauli4sw0X44AY+e/uTvP/C47jg3HVq3NURTAjxFuAuYC9wLXbCJCewAfgQ8GchxKuklI+VrpSKoihKqbm0hZ37sphBCbcAHwBWA38GdgNJ7BTrF2G3gv0We8yVoiyIF9p9fOF//01GN3G1HsC9So6uu2jTq7n0xDepG+0jyIuWn8QHT7uU27f8EgD3snawNPSeDdxx70573NVbT8Ljdpa4pMo8uRF4BniplDI1foUQ4nvAE8B/AS8tQdlKy1JtVkeTcq+LdMbAMNX7riiLQbGjvWuAUyYmqRBCLAceBzqllDceauEUZSZkp5/P/89TpDM6rpUS99KO0XUqqDpyvXL9uST0FD9/7rcA9lg6y4Heu56/b+mmqz/M9VecQXO9Gnd1BNoIfGpiUAUgpUwIIX4CfHnhi1V6TocTB05MVbdZMm6XY8HmzmltrKCrP7Ig51JKw+vwkjIn/dQpi1QxY6w+CnwzX+Y/KWUP8F3srhiKMu/2HQxy0x1Pk0hncK97PieoevPm16qg6gj3RvFKLjvxzaOP3Sva8C4/AMC+gyGu+eY/2d42VKriKfOnDTh5ivXrgO5iDy6EuFAIUfBuVQhxrRDiuTzLy4QQ/y2E6BdCRIQQdwshWostRzE0TaPJuZQ6xxJay5Yv5KmVrGNW1LFsSeWCDGL3uIprlV/dWk1lmQuHGmk/byrLXLQ22hV7h/JdbC1bAcCS2oVNwnCkaKhe2MrVYr5SlcBUVTE12HNaKcq82nXAx2d/8ASxTAzPxq24lvQBoKFxxSlv450nXqSCqqPARZtfzSUnXDj62LFcUrvWvqcOx9J87vYn+f0/9mGpLlJHko8D7xBC3CKEqBlZKIRwCyE+AlwJfLiYAwshzgbuBPL+eAgh3gp8pcDudwCXAp8G3gecBtwvhFjQ21e35qHKUUOls2ohT6sATof9samt8nLMqvp5O09dlYeVzVU4HLO/xq1uraaizM2q1hrEPJbxaLd0SSX11XYwVOMuft5MTbN/PprqK6gqL93tdTGBXUO1d9b7rFtWO+t9wA5o3K6xn9o6xxLWlK1l05qGoo5XrGK6Aj4KXCuE+KuUctv4FUKIc4BPAH+Yi8IpSiHPSjtRRdoZxHvsszjKEgC4HC4++uIrOHvVaSUuobKQLj72dRimwW9euB+AdNMLLK/S6NmxHNPS+MmfXqCtO8DH3nEK5V4139UR4DvYY3tvAK4XQvQDaWA5YxV79wshxu8zZRIlIYQXO2D7AhADPBPW1wA3AdcAwTz7C+Ay4G1Syt9ll+3AHof8RuzMhQuqUFWCS3PR5F1KX7LoRr2j3prKDWTMFD2JrtFlNZVultSO1Y47iwh6ZmrpkuKD5oqy8TfnGksbK+nzxYo6lktzoluTu53WVXsJRlJ4XA7SebpFamg5c66ds+5EnmzfcdjOw6Yxvxk5VzTb7/dctDA6NSdGnvdsOvU1ZQyHkjPefmVzFVUVHuqqy2jvDc1on02r64uuEHe7nTmfn9aKBjYsr1jwa34xZ/tP4ElgixDiaaAd+zO1AXgRdheNa+eshIoywRPbe/n6L7di1vThXfc8mtP+gajyVPLJs6/k+BYxzRGUI9Fbj3sDpmXxu10PAOAv38nGsy32PrkC0Hh8e+/ofFfLmlRN/mFuK3N/H/M64HrgOqCRydexDwKXZP9dCBw/Yf0rsHtzPDCyQEq5RwixB3gtJQisClldsR6nw0XfzO+RCqosdxFL6DnLXJoTr0cjltIL7HX48zg8eBw5sTfLm6pLVJqpjQQ5hVRVuME3t+esrfTQVFeOpsHerkn1EDnKHeVUuSs5pmozcSNGXI8QyPinPHYolp7bAs8DZ5FRUJ27nmAmMPr4VNHMbr/9BjXXVxCOzSxIKWR5+Wp6E114HF7iRv6AemVzFb5Qknj2O1xTOfOWspFgu6rC/n54Pfm7qzbUeAmGUzld4EaCqlUt1fT5YtRUevDNIpizk7nYn40Kb2n6uRYzQfDe7ISMn8G+WJySXbUPOwvTrVLK6NwVUVFslmVxzyP7+Mn9O3GvlHhbO0fXrapdznXnfoiWqqYSllApJU3TeMcJF1DhLucX238HQLf+Ase/wmDfE2tIpqCrP8I13/on1152Gmccu6BDX5Q5NE8T1T8DrJVSBoUQN+dZfw/wXSllUghxYZ71G4EeKWViwvL27LoFV6je1+mwL/0eh4e0maaloRy308nBodldutcsrSGRykwKrNZWCnoye2d0jNayFfQnD+aUeXn5Gg4mOmZVlpmo9Lrwepz4CwQZy5ZUUlHmIhRNMxSc+DYWZ/mSSnqGi2sNmilN06h0VhIz8r9/5R4XCbdOKmPQXF8+ab3L6aC5vpzBQMLeNj03AbHL6cAskK3QgQMjm2DF5XCjaZr9PFxVVLqqqHbXEc4EcgIMgNaGCvQSZkAs1EKXr81qum6aDg3yPZX1y+vY36MRzPipddczvgHHPW5M3cRWv5FlNe5aQpn8wWyVq5oyZzlrKzeiaRoZM0NvoouUmRu8VFV4qKrwMOCPYZoWLY2VBd/LiRq9LQwke6fcpsxRRpnHyYoWD10Dk4ezVpa7OWZFHWDNKrBqaaggnTFxAK1FdEOcC0W1j0kp+7G7/CnKgtANkx/+/nke3LYL77HbcVSGR9edseJkPnrGeyhzq4GdClyw6VVUeyv54TN3Ylom+6N7WHFOhOgLJ9I/YBFP6nzhx//ina8WXHK+KGqMgrI4CCHcQJ0yEgEAACAASURBVAsFxgtLKbvyLS+wbc806/dPc4gaIF/CiwhQVI3P7t27i9mNTNquse3p6yVgTK7574nYT9VheTCsFHG3n1TaJBBM4dXKSVm5QUWto4GQOfk4te4EkYROIJLJWd4b6WVYGyaVGauLbq71MBia3MrgcnqJGlEy2Os8eAlEgritcgaN3LekodqN2+kgnjKIJArf/NdWuCh3W0QSBoGAXW4NjaXL6vGFQwSC+QMrpxGlqsy+ca10WhwcTlLraCRmhtHJfY4jr6G3OkYoplNV7qS3Z+x1q3ZXkjLTpI0MgcDcBGkjWuu9OedyJrxYSUfOe63r9usTCPhx6BE7UYVmkoom6C0QP9e6wTQhEEhQplWQtOLTlmViBsqRz4qXGGVu+2sZj6ZyPgsATc5lmN4goXiGCncVoeFuenonf33iRiLn8+jQIxgmBGOZSduON/75F6O13otuWAyHcz+zzc7lBIx8PxWTA6tet13uaMCkJ9KDw/TgM/vH7TE5MAIIVpeT8XvxWlXomkVbWxu9ibFzBgIJmp3L8Wheeo0DmNnxw7X/n733Do/rKhP/P/dOn9God8myLJfjxC2J0wshhYRO2IWEGlpgWZayodclwBcIvQeW9tulhiwJgUBIb6SSOCGF2MeO7Vi2bFmyrD4jTf39ce5Io9GoWG1k+f08j57RnHvPnVPuvee857zFLidkhYmTpqHaQzQVYCDVP6YN/K4wbZa5VlOVn7bOIdz4ceMnkhogQRx3aGDM/QXQvr+XRCpNd/cQFjYey0ssnV/gCbpKSKdt9reNLXMGGxdRa5h4PI5tW3T3DI+0RabNssn3/OR7T3ncFn4GRnS4Y8PGfnCm79GZMmPFQ6XUucDLgEbgSxid9DOB67TWk9/xgnAEdPcP8dVfPsbW/sfxrd8+ovrnsly8adOreema88VJhTCGF644gyJviO889DOGkzHaBtooXdPPhupzePppc//89jbNjr09fOiNmwtqECwcOUqpFcDPgXOYeGMGTNDghWIyM4uF8b19hKxrKsHvKSOeTtAb6ycUs2iLdow7L2yX4rPGCjqri5uI00nI76arPz4ywS61KwEIerwMx83Ey2u7CfpchHwuBofN81db5qO92wg4YxrNeZd7rfGrzW6XTcBr/iYSrLxum7IiD129Y48vr/ZjWzaV3goOMvFqelOontbB/diWRYldQdguwQJ6UkYVqyzkoTtrUu/32PhLveOuE3IHafTW0hY9CMytYJURWDIE7ABxa/zaghsPta5leF392NYQXvf4c6oDlXQP9xJPmTrZFlTYNQTsEPF0jJ5UF8PpKF7LD65YXnupbDyMb4uaMh+JRIr9h0cF2lNXVjGcKiEWSxHy+nDZFivrguw8YIS5mlIfB50J95g6uWySqRwhrcTLod74OCHFhYtqVwMdyTYqi714PTb7u6a3++H32AyRwo1njFDdXFlEKFXM7s6+cXly7w2ASn85pRUBDvWmCNhBKsNeDjkLDBXFnnGCG0CVr4x2Irit/FP09cVr6ImY+7u23EtXbxzLtmgqDTDQ66I46KapuIQadwl7+7vYM9jDcDxJkVWCyxp9JVYUm75q7TRtErSNirwrMLaNAm4/0cRomtfy4bMCEwpWlmVRZBVjxAJD9rOf2082LkJ2mP7U5Cqj2ZTalRxMjrURLQkujnH8iAUrpZQL+CVwWVbyT4FKJ/3dSqmXa61npwQqCJjAv1dfezeRqsfxNo+qBNSEKvnPM69gZfnyApZOWMyc3LCRL1zwYb5y/w/pinTTM9zHQOhWznjhOTx8r5d02uKxrQf54Lfu5ZNvO5XmuuKpLyosFn4MnAH8f8BuFkdA+l4gn5FN2Dl2xBx33HEzKsj+ric42BNj/XHNDO0b3QVoqaohMRjE7zIOFk7a1Dgu76/vv3+c3UVD2LiKjvcbASHgc/Pik05my4GnAOhPHGZNeN2YPM0Nq9h2aCdW0su5x23g0f2PU1OXorM7is/joqzYzzCHqQ3UYQ9DzInTE7ADNIQaqKsMMbh77ESrriZMyFkEcfkHx6j02djYrjSrl5UCFvHkPvqHhygrK6e82EdNeYjqUAUtZc34n9jDrsHthAMe+qOjE+HayhCnrzuV44f6icSG2LZjCMuy6IuH8CdtGquLGIoloHNwpE1cFfntOJrLGmksrmMDGyjy7qU72kv7UP5N0eW1YSzLIjIUpzTsw7Is9nX0k07BcJ7gv/UNY72ceWIVDPV7Gew37VVVFmD7rjYa3StoqG/AVdwNnvyT4LOXnwLA/XseHUlL+uuyzlhBIhVnKBmlO32AaI7dXJE7zEBi9B6rDdSSjMaoqysm4HNTH67G7/HjsmweeO5ZunqHCAXcrDv++Lzl2TicwOO2OdQTxb2nGyKJMSqOK5vLOdQTpWm4hr2Ouujq5nJWptO07hsmmjSCmZ3opzy5nPLKOuL9UVYtLyOVShOdYvLusi0aq4sI+j1EhuLYruTINQHOPnUjT3d46UmM9mV1WYCycADbhq3Pm92hMk85F520lmK/eSUkU2lctsX9e2wah+LYto3f6yJ4sH/MPVjlq2HDug0cHh5Vj129upR412i7n9ZwAgcODVIc8vHMYZtmJ72lvIn6cM3IeVu3bkUFg7xcXcDe9gE6u6OEg15cLovldcX4PEbIiidSPL7tILF4ig2rKnnm8Og9bVs2ZzZtJpVK8Y8D20ikO6gPLKc/3oM3YeUNTJ3v2aipS43Y2rlwEXAHKS5NGXVRO0KJpwx3zB65t1eVL6djsIum0gb+75GHxv3G8qLlxAZG31ONVWHCITfZ62yBiFF7nel7FGDLli1HnGcmO1afxAhV7wX+itEfB+MJ8EPAV4D/QhxYCLMgmUpz/V2aa5+4FVfzdlyu0RWq81acyVtOeA1B73hdcUHIprlsGV++8GN87YH/ZkfXbhKpBP+I3M3GC49jx4PLiQzCga5BPvzd+3j/pSfwghPHTzSFRclpwBe11l8odEGy2AHUK6V8OYGLW4DbF7Ig9RV+asp8tDSW8sjo/Ixz1UYefGo/6TSsqM+/kDAdr2wNVSE87smnD35PgIvXnTryvbm0ked79lFbMeqYMeRzO9Og8b/pdk1ueF5VFsTndY94s6vxN9Cd2k9mYuVxWdSU+igrD1BaZNTEm8uW4XbZnKRqiO5pozjkRbdm2fA4c7Jif5iQJ4S2zM5W2F1CuGIItydtBKsJaCiupa2vHduyqQ2Nan+esa6B+5+06BruIJ42k2i35SaRThAKuEe89GV7L2uqMf2zc19P3slrNo2lVTzX30t9YBl9tFNZEmC/NXcLRW7bA8mxu25+O0CaFNW+egYSesyxbDf/lcFyiv1heob6qC4LUhLy4fNO3LeZNqgpD7K/cxCytBHrK829U+orwUqOdfBpWxb1xVXs7Da21163TUt1kOKKMIGKRmJESJGmIdBEPBUj4AqxJzKq3VvkDqPqGom42sncCAGfG48rTdRZtllea4SkfJE7Al4vw4kYTbVh+gaGefFxmyjyj+7eZXuIzPbK2FgTJplKs721m6ZgC37X1PMaj9tFU63Tv9PQdHTbLlbUl7BiAjfmHrfNKcfXkkyljbvyPNe0bZt11Yr+g+Z3w55SquoTI4LkVLhsmxX1xeze3+e8Y5wnP50etysJUBuupjZcnfdajYHleDwuAq7giND7orWnkUgl2Hl4D93RXoKews0PZyJYvRX4mdb6h0qpikyiM5B8SynVArwaEayEGdLWOcBXfn8b+32P4G4a3W4v85fy76e+mRPq8q90CUI+SgMlfPa8K/nFE7/ntp33AbC9dytlm9spbd3E/uf9DMeSfO1XW9ixt4e3vux4XFNM6oSCcxBYbE6S7sS4en8ZcAOAUmotsBbj7GlBcdkWuRrSbpfNycfVEBlKUF6c3yZ1WW0R29vy29Y0BJbTE+tiXfUa7KyL11aEYAonbfXFNfjdPvxuH629bRyO9uJxefHbOcE7nesuqykyLrEmwLYtSsM+hmOJkZ2rXLfKGytbWNbSRGtPG6vKm/G6zIS2LBykqbKCvuEBlleVsaezG9uCosB4NTZTJIv11cdzKHaAvoEDE8YHqwlVUhYowe/y4naNlsXlsjnnhAYOPtw24lSgKlRB2ttPcVH+3xy5ZnmQvR0T3+rLSxuoLy6ifzBOadxHuLwYrBTP21kC4ARyWXkg/0TbssYLD6uXVfBo64GR702hFgA2rq7Ev3+I7vgh2rsiBFwhfP4AFaEYlUXhkR2bDBN5iBtfBouT1lbT8WgPgxFTf5flojxQitddTltkrKC3omwZyTB0xvbj97oZHojiddusqC+hMRnk4MAhAq4gz/SM7q4V+X0MDI2ugZzU0kQy1cBDex8fKcOaplI6ByyC/tHdkFJ/MTC6Y2VbFgG3n+FEjJDfQ8jvGfGINx1ctkVlaQBP0s3KxpnFcJottm1NaW+czhLws1UK8xEOecl9i/i95plIk6bKV8Mw+0kDdYFlDCYmjMfORetO5P7nniY6nKA5tIbiQIB4IkWdfxm98W6C7hBu24XbdqEqWjg81Eupv5idvZO8QOaRmQhWDcBjkxx/GrhiZsURjmWSyRTX3fsU1+s/Y5e3jbFGP3/FWVx+4r8WdBVCOHrxujxccfLrWVezhh89+iui8SG6h7qh+h6aKtbS+kQjpNzceO9Odu7r5aNvPpnSAnkUEqbF1cB/KaX+orWenvu5eUZrrZVSfwB+ppQqA/ow5XwcuKmghcsi6PfkxDEaS3HIBJ51u2127x9d2GppKGFXGyyvrKI6bNR11lau5FDkMCfU1bHlmbHe23KnaLZlUxky+Y6vXsNAbJDgUD/9g4m8E/9s72cZ8k3Kq8qCDMeTlIcDJAKjQlqZrwS/y0dlsJzK4PgAoetrFEOJYQaGB0lZGq/XNXZimSOV2paNqlxJua+Sfw71jbTVGKVJKzPpHo9tW9SF6on1x7CwWFZSR0lFJfv7D5JKT2y3VBT0UlkycfygjDe93CCou0q7RpyFVJYUcSg6mr+2qIrhZIxV5c15r7mupYJndo76Xz9pbTXhoJdoupcndu6jNtBIQ3UR5cV+ysJ+zlizhsPRaral+0nGbWzL5vjqZXg9szdxDLiCNASaSKfTbKpuoq6yiD0H+si1Wwt6AsTs2IjL+2wHHR6Xh8aSOmLxJNn+Zdyu0T7O3G8u20XQ4yfi2Ae6XPa456WptIGG0g7aekwbBf0emkob6Gl37gvfkYfzqCoNcPbyFUecb75ZU5FVpiMwZVdNZRwajrG31wjjAY+faHz0HvTYXlT1elKkeD4aIZEaXQgoyRHGl1dWUxY+jXgsxeCgcTm/ZVsHbttNhW+sXyC3y011qIJCMhPBai+wYZLjLwD2TXJcEMbxj+fa+e6df6A//E/s8lFziQp/Je85/Y1sqFlbwNIJS4Uzlm2mpayJ7z38P2zvMlrMna5tVJ66n57tq0gcruLpnYf4wDfv5v2XncjmtTVTXFEoEP8DvBZ4Rim1A+hg/PQ8rbW+YIHLdTnwbeDrzvc7gPdrrQvivMJtj05s/fb0FqUsyLvavqwmTG1FyKgKOVSGykeEJRgrWE2lUFjkDeGyIsDEqnXZAsWy6iLcLpvaoioG4xH6hwepCpVzONrD+uX1bKhp5oHWQyN5q/2TT65syyboCTAYi+StbzqfvhdQFS5hTZOLvkiM5rpiHjuwJ+95+fC43CwLmomqjYvmshqWlzbwQOtka9Vm4m71Dh1R4Lbach9ej82G1ZUUBV0c2jfaNqsqmifNW1ESwO22SSRSNNWGCTvts6lhDavKV5CGMQ5/bMumMljOSavDtLb3U1bsHydUZd+LR8LqplJ2tGZcwjuC8wx9VeXu4J7QoLhn+5MAbGpsGUmvC9ew87Dp19pwNX3Do1JamjQe282Fx59Ia3s/Pr9FY2UxlmXRXNrIQCzCirJlE5ahKlRO5+B49bmaosqZVWoeOKl+PbsOt1IWKKEiWDaS7ve6KS/x0903hGoqY9fgwXF5w0EPLQ0lhAIeAr56XJYLr9tL//DAiGBlO8vmXlfmuYsQ9hQTSZZR6i9mdcV4AbPYVwQ+qHBkrmyV5ZH7YpEwE8HqfzArhQ9hVB8A0kopPyaw4usxkesFYUraOvv4zm03sTv1KFbp8Mj70oWXS9e/jFccd8GMX8iCkI+aoio+f/6HuHnHXfz26T8RT8YZTPXhWfU43oEqorsUh/vgqp88zIvPaObtr1i34JHbhSn5KnARZtnaC8xpUDKt9VXAVZMcf9ME6QMYjY1FobVh2y6agi0MJvop8ZRNnQFGXDfnw5PHq9xsyEyOAu7QSFDPgCvIshoze6oqCxD0e/D7XJQFiikPlFIbrsZl2cSTcbxuL6l0CjuPR7zZMpmn2fqqIurz5Zlixu922Qw7flYyu2OWZVFTVMnBgUN58/jdXkJFYQa7A3TFOphuzFmXbVFV4qUs7CeVOnK5/rR1tQxE4pTkqCqGJvGgGvR7xu2cZSjyhqgKldMz1IeqXDntctRVhAj43AR87ilVtCuD5ezu3ksilaQ+OPWi2Oo6Y1eUTlmsrBsVbGqKKkmkEtiWTVWwnO0jrgRG8XpcrFpWOiatsaRu3Hm5tJQ14bE9eN0eyvwlHIocJpaMs6J0rDDWXFfM8wf6CAUm32GeD4KeAOtrVN5jG1ZWEk+kcNmwK094tsbq8Mjza9v2SJuU+YtH7vG6gKmrBZSX+HG7bBLJFGetPp6Gqunt9oUDXnoGHBVg/+Ian2dSmquBdcCvYMQH5bVAmXO9vwJfnJPSCUuW7v4o37vtrzw98ACWPzJmODqh8iTec9ZlE6pUCMJssW2bl6sLOal+A//96K/Z2rkDgHRRJ/4Nh0h0LCO+v4VbHnqex3UH7371Bk6RgMKLibcAfwZep7WeOtjOMYoF+F2BaRnEjzI3wVens6lQVRakdyBGpa+GeCqGbdmc0NRCS0PGzsQamciXB0rHTFy9bjPhn61QNZEw5JpBfDvXFIuAa5eXsWVbB5ZFVh1hVXkzDeFaWnv3E0vGWFOxAo/LM+Z66eE9RDoOU1s5dnV+KmFuprhd9pyrQx+JQJXBsizKwmPtAUtCo+UKOy62LUz7n1i3nmhiiP2D+RSnxrfV2obxwpBt2SwrySc6zx6Py0NLedPI95A3/27L8rpiSsM+QgEPifTiimDkcdt5hfWSkHfcruBIHpeHUxo2MtixF69tnl232zbOZNZWExmKT2j3mY81y8t4+rlDuFzWiCC3WDhiwUprnQTeoJT6GXAJxuORC2gF/qy1/tPcFlFYSnR0D/Cju2/l6b6HsQIDWFnPUZ2vmfeefRmrK5sLVj7h2KI+XMNV513JA62P8ssnb6A72gtWGndNK66qfSTal9PRvoLP/+wRzthQxztftYGqMrHzWwS4gZtEqJp7WsqaeKZj1Gyt2je9BYWVjSXs3Ge8yrvdNpWlUz8ndRUhhoYT7OsYoDHYDEBRYHTS7LZdJFJmhyfjeGKxcXz1ap7rep7KYNmUZSwKejl1XS2WNWrID0Z4CHoDrK2aWPA4saUJT1GUSDxKPDmqPjkfu3WLndKwjxX1xXS0ealy1MAyO4w+txef28uBPDN8j9umtiJIR3eUNU3T28HNZW6WHaZHSZF5FhITa8uOYb6E7OlSUxGa9LjH5WHzmnr+uauLooCHMkdwz+xIHgkBn5tTjq9ZlDFMZxLH6pfA9VrrGxlVBRSESWk92MOP7v0LO4a2YPmiWFljbqldy7tOey0nN4m3P2HhsSyLs5efysn1G7lh6y3cvP0uYsk4lp3CU78bd+0ekp2NPLw9wpavdPDqc1fyL+etWnD1DGEMNwEvB35S6IIsZmYy5ygNlLCueg2WZRE71D2l968MDVVFhAIeUqk0xSHflB7GwKjDrWwsZd8EXu/WVa/h2c4dBNx+qo7QIH0iG6mZMtGktTxQyqmNJ0z7OjNVK7Ysiw01a0mn0/QM9fFs53Y8toea0NS2ObZtU+IP0zvUz7IJ1NUqg2UcinRTNoGnwMVGU20xgfBG9KFdhLwBin3T27VQy8tZvSw9rfszH4tvGl8YbNt2nHSM2ou5bIvyQOnEmYDyYj9nbqibE8+7i1GogpmpAr4GGB+tSxBySKfTPKL38JvHbuVAeiuWdxgrS7OgiEreeOKrOH/15kX7gAjHDn6PnzdsvISXrD6P65+9mTt33k8yncKyU2YHq7qV5OFarnuoi78+vJvLLlRcfHrzSJBFYUH5CfBrpdQdGJXADvJ4QdBaX7fQBVtMWJZFOOilPxKjvmry1eRsMpPruvIEHd0RSoumVgnLp7I1W8K+Ik5p2HRM7spMhGVZlAVKOKV+E27bjT1No6t11WuIxocmVD1bU9FCTVH/jDzaFYqqUAUlvjAel+eI5hBHKlStKl/Ozu49lAdK8SyyndPaoiraBzqB8d705pv1NYpHdOuYtJUTeJrMZqmHM5mJYPUUsHmuCyIsHYZjCX730MPcses+ov59WJ70mFWeMruBN530cs5u2SQClbDoKAuUcMXm1/NK9SJu0ndw9+4HzQ6WBe6KdtwV7QxHwvz8wee47u4VvPrstbzkzGbZwVpY7nE+G4DzJzgnDRzTghXAhlWV9Edi0xKOclmzvIzq8sCISlIhEKEqPxkbs+liW/aEQhWYHYijZbcqmyNth5lQG66mMlg+JjbZQuK2J/7d5rJleF0egt7AgoejyfdsLlaV3YVkJnfJL4EvKaXWAQ8AnUCuFVtaa/212RZOOLp4ak8rv3vsHnYMPAP+fghmbZunodbTwttOexUnNq4pZDEFYVpUF1Xyjs2v47XrXsYtz93LrTvuoT9m3CDZwX68zVsZTmp+vfUf/O7hJs5Xm3jpWS001YrTlQXgvEIX4GjB47aPyCg8G5dtUVEy/5O12oog7V3GXC7XC91iYTienPokYclSKKEKjK3hqvLlHIp001zaOO5YU2lDgUpmVPsO9w1RUeLH75bYjzAzweq7zuepzl8+0oAIVscAnf29XPf3v/HI/seIeg4anf6sMdxKetlQfgJvPf2lNJZKTCDh6KPYH+bS9S/nlWtfxH3PP8KdO+9nd89eACxXCnflfqjcz52Rx7ntulqafIpXn3IKZ26szxvkVJg9Wut7C10GYe5Y2VhKwOemKOgd49RhNqTn2M2AKFcIhaQ2XE1tuLrQxRjHhmXL2N/XidtlE/DMrSrw0cpM3mCLLzS0sKC09XbyxyceZMv+p+izD2BZafCONeoMpiq5oOUcLj3pXHweWcUQjn78bh8XrXoBF616AbsO7+GOXQ9w3/OPEEua+DuWN4a7ppX9tPK9Z/7GDx6uRpWt5SUbNnPK2sY5jwF0rKOUKgHOAIqA7MZ1A2HghVrr1xeibMKR4XbZBdvpzbYpqi2qGnPs+BUVPLu7C9uyqJqGl0NBONZoLltGz1AfACvLlxe4NIuDKQUrpVQSeLPW+jcAWus9TnoxMFCoiPLCwjGciPH4vm3cs/0f6MPbiVhd5oBrrDBlx4OsLdnAZSefz3F1TXmvJQhLgZby5byrfDmXb/oX/t72JPfu/jvPdGwj7WhF274h8LWiaWXb07djPVzB8qKVnNp8HBeu20BZeHFFij/aUEqdDtyCEaAyZF5Hma2K/BFXBSELr9vL+uo1DMQi43YEqsoCnFVcj8u2xB5YEPLgdXk4uWEjIPaQGaazYzXubaKUqsB4YXoRcNdcF0ooLAPDg2zt2MWje7bxz4Pb6YzvB8uRn3PvhrifOk8LF6kzePHGE6cMkCgISwm/x88Lmk/jBc2nMTA8yMP7nuC2bQ+xp383acvM7y07DeFD7OEQe/Y8wnW7bfyJCprCy9lQ38IpLatpLq+TZ+fIyAShfzfgAb4PvBoIAP+GUVM/qzBFE442SgMllE7guMG9xD2YCcJsEYFqLLNRZp6T5Rul1DuBjwKNwD+AD2qtJ3TnrpRaD3wHOA3jQP8HwFe11gsZt21JkE6nORzt4fmeNrYd2IPu2ENrfyuRdO/YE3N7Ohqm3reSC1afwsWbNuEVd9OCQJEvxIUrz+bClWcTiUfZsu+f3Km3sKNHE7eiI+dZdophbyc7hjvZsfsxbtgNpG2KrDJqi2pYVlZDS1UtdeEqqkIVlAVKxCh4PCcD39da/0Qp5QG+hXGadK1S6vfAY8AXAFEFFARBEBaMwrk5AZRSbwF+BHweeBR4H3CrUmqT1np3nvOrgTuAZ4BLgZMwK5dJ4OsLVe6jhWQqSf/wAH3DA3RGutlz6CB7uzs4OHCIw0OH6Y13kbTiU14nNezHF6thTdkqXrjmBM5Yu0KEKUGYhKAnwDkrTuacFSeTTqfZ3rmHe/RTPH1gB53xNtLu6NgMVooBunhuoIvnBp7l7r1jD7ssNyF3iBJ/mLJgMaX+MEXeIH6Pn6DHj9/tJ+D2E/D4CHgCBNw+/B7jpclju/HYbtwuDy7LXioqTT7gOQCtdVwptRM4EfiT1jqhlPpf4AOFLKCw8DQW17Gv7wB+tw/fJC6qBUEQ5ouCvXmUUhbwOeDHWuvPOWm3Axq4Enh/nmz/gSnzK7XWEeBmpZQP+IRS6jta66mlhEVGZChOT/8wiVSSWDJBIhknnkoST8aJJxPmL5UgnooznIgxlBgmGh8iEo8SiQ0RTQwxlBhmOGn+hpJRhlIRYukoSWt48h/PM79KpyzS0TC+eAWNRcvY1LCGc49fQ0P1wgaeE4SlgmVZqOpmVHXzSNqzbfu4d9szbO9spSNykGFXD5YvMqHnsWQ6QV+8l754L3v7Z1EWLNy2C7ftHvnzOEFGG8N1vP2k11EWLMG2Fm9Ue4e9QHPWdw1syvoeAcZ6IhCWPE2l9RT7iijyBtnZt7PQxREE4RikkEs6q4DlwJ8yCc7K41+AF0+Q50LgTkeoynAj8GngFODBeSrrkEZO4wAAIABJREFUGNoHOvn1k3/gUOQw6XSadDpNirTzfyrr/0x6KuecNMl0kuF4nKFEHKzU3Ltyncb10jEfqWgR/nQpVf5qmssa2NS4ko0raxYkdokgHKsc39DI8Q2j8Uj6BmM8vbudZ/bu5fmudtr7D9Eb68HyRsEzjOWJYbljWO7ErH43TdpZqBl/nfaBDh78fpxkp3E8Y9sWFhk30xa288WyGEkP+Ny84eK1XHx686zKNQP+CLxPKbUN+B1wL/AFpdSpGCHrcqB1oQslFBbbsikPlha6GIIgHMNMV7CqUEplu3krdz6rc9JH0FpPNahlosQ+l5O+C1iplHJprXMj8q0B7slzfubYgghWt+64l0f2PTEn15oPm790yiId90HCCwkvHgL4rCDFnhKqQhXUl1TRXFHLsqpSGquLCPolUrYgFJLikJez1jdx1vrR12k8kaStc5D2rkE6Dkc42B3hQFc/HX299A33MxCLkCSO5UqAncByJcGVcL5n/k8axzNWCss2n9hZ3zNpQHooRKp3dJMnlco2W81vwhodTvLH+3YVQrD6AnAm8CvgZuAnwH8CD2EKawPvWuhCCYIgCMc20xWsvu385fLrSfJMZYSTCVqRq9jSjxkUQ0Bfnjz5zs++3hGxZcuWI86znhWsX3XFTH5uEXGY/s7DbO0sdDkEQZgMD9AQMn80+oBq528e2DT1KfmYyXt0Nmite4EzlVKnOv/j7Fb9O2bh7xat9V8XtFDzwGzbdaH7ZTFyrLeB1P/Yrj9IGyx0/acjWH1unn47N+ZILvniY1lHeP6kbN68eVEbEQiCIAgTo7X+e9b/HczfeLXgyPgkCIJw9DGlYJVxLDEPZHx6h4GDWelhIKm1HpggT64XhXDWMUEQBGGJopRqAU7TWv82K60c+BRwNsZpxU0YV+yxwpRSEARBOFYpZFSvHc5nS056C7B9kjz5zgdjsCwIgiAsQZRSV2PGhl8qpWwnLQw8jLGvasaokH8FuNOJbyUIgiAIC0ahBau9wCWZBGcgfBlw5wR57gQuVEqFstIuAbowwYUFQRCEJYZS6lJMIPk/ARdprTOq35/BeJh9BGjWWp+KCR5/IiZshyAIgiAsGFY6PZHJ0vyjlHoP8H3gy8ADwHsx6hwnaK13KaVWAlVa64ed8+uArcCTwNcwptafAz6utZYAwYIgCEsQpdSdgEdr/YKc9AMYTx4Xaa3vzEq/BjhLaz1DdxyCIAiCcOQUcscKrfU1wEeANwO/B0qBi7XWGRfqn8G4z82cfwATy8rtnP8u4FMiVAmCICxpNmFiV42glDoRqMF4j7075/wtwMqFKZogCIIgGAoZIBgArfU3gG9McOytwFtz0h4Dzpr3ggmCIAiLhRDjHRRd4HzelaUamMEPzC6asiAIgiAcIQXdsRIEQRCEadDKaFD5DK/ChN/4S57zzwH2zHehBEEQBCEbEawEQRCExc4fgXcopY4DUEq9FKO5MAhcn32iUuo84F+Bmxe6kIIgCMKxTUGdVwiCIAjCVCilSjBu1VcBB4B6zMLgu7TWP3XOOR94G/BaoBPYoLXuKUyJBUEQhGMR2bESBEEQFjVa617gVOCzGK+w/we8JCNUOVwIvAG4AzhThCpBEARhoZEdq3lCKfVK4Nda63BWmgV8Evg3oBLjYv59WuttzvGrMBOHfDyvtV4xwW9ZGMPucM6hLVrrk2dTj4nIV7+c4x8C3qy1PiEn3Q98FbgUY5D+V+D9Wuv2KX7vXzGu9VdigkF/Ums9b6o+s6hfBfBF4KUYL5fPYDxX5noty85jA/1AMOfQI1rr02deiwl/b6Z1uwy4Nk+Wf9da/2iS31v0faeU+n/Apya45HNa69UTXGtB+875zXzvlgDwaeAyoBYTJ/BqrfXvss7xAVcDr8c8e7dinr39U/zeJcAXMLtF2zH385/ntFJzgFKqHEhorfsKXZZCo5R6JybuVyMmxuMHtdYPTZ5rcaGUcgEfAN4JNGFs5q4BfqC1Tk81njrXmPKeV0qVAd8CXoFZbL4e016L6j5y6vIPzLvlrU7akm8DpdQFwJeAjUAH8D/A57XWyWOk/i7gQxgv2LXAP4FPaK3vco4v2TaYyTzaOWdO6quUWgZ8FzgfGAL+F/i01jo2Wbllx2oeUEqdCfwKsHIO/Rdm8vN14HVACXCno+YC8FPgjJy/t2EMtH/KxKzACFVvycn71tnXZjyT1C9z/DWYmzofP8GsKn8MeDuwGfiLM0Gd6PdeBFyHWYn+F+BZ4Eal1CkzrcNkzLR+Th3+gAly/RmMStI+4PYpyroKMzF/E2P77x0zr0V+Ztl3mzCCUe49esMkv3dU9B3wI8bX6wrn2GTP3oL1HUxavx8C/wF8GxM0/W/AtU5g3Qw/Ai4HPo55r2wCbnYG7ol+73xMaIt7gFcDTwF/UErNi9A4G7TWhxfDRKjQKKXegunrX2FszXqAW5VSeRfmFjGfwUyofwW8EvMe+TYmRAtMPZ7C9O7564EXAu8G/tP5rd/MS41mx2eBtTlpS7oNlFJnYRZft2LG1e9j5g6fdk5Z0vV3+AjmOfg55t2+E7jFCTcBS7QNZjGPhjmoryOc3QYsx4SE+gJmjP3mVGUvuLv1pYTTER/AdMAg4M06FgY+DFyltf6uk/Y3zCrcO4Bvaq33YSbimTwuzIvkXsyDNREbgRTwe611ZC7rlM1k9XOOF2Ne/ldiBvPc/Ap4I/BarfX1TtrTmJfmy4E/TfDTVwE3a63/08lzC9AMfAIzWZ8TZls/4DSMN7IXaq3vdfLcjtm1uhIjUOZjI5DE9N/w7GsynjmoW6acj2UCdk+TqzgK+i7Ps+fGCCt3YHZYJ2Le+84pz2TvlmrMosoVWuufOcl3OAHWPwxc5/x/OfCGzC6WUupJjKD8KiYWjj8L3K61fp/z/Ral1HLMiuEr57CKwhzgrOZ+Dvix1vpzTtrtmH6+Enh/AYs3bZyx74PA17TWX3SS71RKVQEfVkr9kCnG0+nc846jk/OA07XWjzjn7MM8PydprR9foCpPijOJfj9wKCttyjnFEmiDq4HbMjt0wF2OVsh5SqlvsvTrD+bd/hut9ZcAlFJ3A2djnPl8giXWBrOdR89hfd+AWThd4cwPUEpFgR8ppb6gtT44UR1kx2pueQlmwvgR4Hs5x04HisgSHrTW3Rih6cUTXO8KjKT9Xq31ZDqbG4Gd8ylUOUxWPzBb1a9z/vKpep2PEQBHjjnbt9uYoA2UUkWYtstutzTGS9hFzkRirpht/RKYHbkHs8qaAp7D7CpOxEZg+3xOzJl93cCU86np/uBR1ne5/BuwDqNiMNWzN999B5PXrwizQndbTrpm9L473/kcUeHTWu/AqJVM9OwFgDMZv+DxR+DCyXa6hIKxCrPCmv3MxTEu6ScaZxYjxcAvGC/wa6AKcz9PNZ5O556/EOjITK4c7sYEnV4U7eUs8vwc+BrQlnVoOnOKo7YNHCH6LODH2ela649rrV/IEq9/Fj5MWQDQWicxph/lLM02mO08eq7qeyHweEaocrgRsyF1AZMggtXc8ihGuv0uRn0vm0wMlp056bsYH58lY4t0FfBzrfU/p/jdjcCwUuo2pVREKdWplPqqUspzxDWYnMnqB0YNbqXW+roJ8q8B2rTW0Zz0vG3gsBJznz6XJ08IaJhOwafJrOqntX5Ua/0uZyIDgFKqFLO6tC1fHoeNQFwpdbvTfx1KqS87A+pcMau6OfVYBpyslNqulIorpZ5USk320j1q+i4bR6D4LPCTbL3tCViIvoNJ6qe13qW1/net9d6sOrgwA1Sm/GuAdq31YM51J3v2WjCDSL7+C2DuB2FxkenLfH228mgRhrXW3Vrr92qtn8g59ArMznKj832y8XQ69/wactrKWQx7nomfi4XmY5hV+y/npE9nTnE0t8EGjBrYoFLqJqXUkPN+vUoZtfulXv8MPwDerJS6QClVopT6AGbR71qWZhvMdh49V/XNd04XRviatE1EFXAO0Vq3TXK4GBjOY/TW7xzL5XVANUaPdCo2Ygaa/wb+H0Yd7dMYw763TyP/tJiifmitc2/2XIox9c2lH7MKOVGezDm5ebKPz5o5qN8YnB2ZazArLN+a5NSNQA2m/74AnItxpFCB2WmZNXNQt43OZzNGpSiF0Tf+s1LqPK313/LkOVr77o2Y1cBvTOPcee87mLp+efgcxh4jo6432bM3kYC0YP0nzBmT9ZmNWdA4Ku3QlFJXYFaR38/0xtPp3POTnVPw+1uZuG2fAi7QWseMNv0IS70NMnOCX2BsX76Jeb9+Gohi7uelXP8MP8TswtyRlfZprfWfHFXAJdUGczCPnqv6zrhNRLBaOCzyr6SDmaTm8i7gr84W5lS8DejXWmfUtO5TSiWALyulPqe13nPkxZ0XjrQNMnmYQb6C4qyo/RDjleY9WX2Tj8uBXq310873+5RSKeDzTv8d6aR6PngaYwd3n9a6H0ZsN57GDHQX58lzVPYd5tn7s9Z61zTOXXR9p5T6GGYy9g2t9U1O8jHz7B3jLMk+U0q9EaPu+nuM3fEnmLqO07nnLSZuk4K2lTOG/BT4mc7v0XG69Tta2yCjcXOr1jrjsORupVQlZsy5mqVd/8zi7K3A8cB7MPboFwKfVUr1sPTvgVwWsr4zGTMBUQVcSHoBXx71vLBzbASlVC1GlzSfa+txaK0fyDNxvwVzY2yYWXHnhXwu4SFPG+TkyZyTmyf7+KLBMb68DjNB/4jW+oeTna+1vj9rYp7hFszzuSj6z1HN+UtGqHLSEphVtE0TZDsa+64BOIXpP3uLpu+UUpZj0H01Zqf0I1mHj4lnT5i0z5Ja64EFLs+sUUp9EPglxmbijY7N43TG0+nc8zN5LhaK92HczH9GKeXOUi+2nP+Xehtk7tVbctJvx2iB9LC06w/Gxuxs4N1a6x9qre/RWn8as3v3VYxzh6XeBtks5D0/4zYRwWrh2IERdHKdGLRgDHKzuQjjaWwiL3kjODq373A8oWQTcD4P5eYpIDuAekfwyCZfG2TYiVk1aMmTpxeYNP7VQqOUCmIGgkuAd2qtJ1XlVEqVOv2Xe18sqv5TSm1WSuVzIR5g4jIeVX3ncDEQJ8vwdSIWU985q9u/wKhpfklr/R85Tjd2ALWO/Vg2kz17uzArc/n6b4CxhvTC4iCj4ZCvz7YvcFlmjVLqSxiV3F8Cr8lSAZrOeDqde34HOW3lPEvNTPxcLBSvxqj4d2PeSXHMItblWd+Xchtk7Fu8OemZSfVSrz+Mqq7leuK9HxPmI83Sb4NsFvK5z3dOBUYNcNI2EcFq4XgQE2DskkyCMgHKzgXuzDn3VGCrnl5MlhjGuDHXje6/Yl7IuavpheROzEvxZZkEpdRajC1IbhsA4KywPsLYdrMwbjPvnsJjWyG4FrPKdJnWerL4RxniGJXB9+ak/yvQhfFksxg4CfipUmpkF8YRIl+M8cgzjqOw78A8e89Mc2V/MfXdNzCxtD6ktc4X6PhOwIUx/gdAKbUaYwQ90bMXxby3Lsk59CrgHsfYV1hc7AD2MvaZy7xz8/bzYsUx0v8E8B3grc4OeYbpjKfTuefvBOqUUqdmXfs8zOSp0O31b5jd8+y/7ZhFn8yu+lJug2cxizevzUl/GbCfpV9/GF0MOSsn/TSMF+IbWPptkM1CPvd3Ypx1NWadcwlm3L9vskKKjdUCobUeUEp9D/iCY4OxHWMH0cf4AKTrmUQiViamxbDW+lmtddRR//moUqoLc+O9CBMD5AN5PKMUDK21Vkr9AfiZ8zD0YdSWHgcytiCZ+g1prbc6SV8G/qhM7JI/YSaQJ2O2yBcNSqnXYh7mnwNtamwQ1cGMylh2/bTWg0qpbwNXKqW6MStTF2ME5f/I40GxUFyLCbZ3g1LqU8Aw8FHM7sxIjLWjte+ymM6zt6j6Til1Eibux+3Agzn3XdLxVrlTKfV/wE+UCaTYjembpzAuZLPrN6y1ftZJ+jImgPePMZ4V34AJgPyC+a6XcORordNKqauB7zv35AMYwb+SyR3oLCqUUnXAVzALg9cCp+U4bngM44p5wvF0mvf8XZjFnxuUUh/BLPx9HfiL1nrLvFZyCrTW495DysTR6dJaP+Z8X7JtoLVOKaU+CfyvM378HmNf9Bbg37XWfUu5/gBa6y1Kqb8A1yilyjE2Vi/EeIr8jtZ631Jvg2ymM4+ew/r+FhOk/Bal1GeAeoz65Y+11pNq24hgtbB8EqNa82GMjvCDwFu01rn6mtWMqnTk4w8Yt5AvdL5/BjgMvNP5jecxL54f58lbaC4Hvs2ot8M7gPfnrH7fhHETfSGA4/3mrRiD1bc5x16ltf77QhV6mrzK+Xw7470xPgmc4Pw/pn6YPjuEiVv2aWA38C49Guy14Git+5UJqvdVjPF4EPgbcE6Og4ajte8yVDP5Lu9i7LtXYtQjXuT8ZTOIedeAaf9vYSasNqPPXjLr/DHvFq31zUqpN2Oi3V+OETovmcCYXlgEaK2vcdRgPoBRDf0HcPE0nbEsFi7GxO/ZAOS716qY3ng66T3vCKKvxAhpP8YsGP0R025HA0u6DbTWv1BKxTH1fBtmN/bdWXObJV1/h9divD1/CuOtdgdm8e6/nePHQhtksyD11VpHlFIXYuY7v8aYL1zj/P6kWOn0YtTGEQRBEARBEARBOHoQGytBEARBEARBEIRZIoKVIAiCIAiCIAjCLBHBShAEQRAEQRAEYZaIYCUIgiAIgiAIgjBLRLASBEEQBEEQBEGYJSJYCYIgCIIgCIIgzBIRrARBEARBEARBEGaJCFaCIAiCIAiCIAizRAQrQRAEQRAEQRCEWSKClSAIgiAIgiAIwiwRwUoQBEEQBEEQBGGWiGAlCIIgCIIgCIIwS0SwEgRBEARBEARBmCUiWAnCIkAp1ayUSiulflrosgiCIAhCNjJGCcL0EMFKEARBEARBEARhlohgJQiCIAiCIAiCMEtEsBIEQRAEQRAEQZgl7kIXQBCOBZRSIeBLwEuAJqAPuB/4vNb6H5PkWw98FnghUAzsAa4Fvqy1jmadlwZ+ADwGfBJYBuwCfqC1vibnmi7g/cDbgdVABLgX+KzW+qk5qK4gCIJwFCFjlCDMDbJjJQgLw3XAu4Abgf/ADDDnAn9TSjXmy6CUOhd4FLgQ+AlwJfA08BngbqVUICfLy4AfAzcDHwN6gR8opb6SdU0LM+h9w7nWlcB3gdOAh5VSZ89FZQVBEISjChmjBGEOkB0rQZhnlFJVwEuBa7TWH81KfwK4GjgRM4Bk57GBnwNp4GSt9U7n0DVKqaswK4QfBr6Qla0ZeI3W+nrnGj/ErPJ9SCn1Y+calwGvAT6gtf5u1u/9AHgKM+gdPzc1FwRBEBY7MkYJwtwhO1aCMP/0On+XKqXepZSqBtBa/0lrfbzW+qY8eU4CWoD/zRqwMlwNDACX5qQ/nRmwnOvHga8DLuBVTvLrMAPhjUqpysyfk/Zn4Dil1HGzqawgCIJwVCFjlCDMESJYCcI8o7WOAW8DPMB/A+1KqSeUUl9SSq2ZIFuL8/nPPNcbAnYCK3IOjTsX2OZ8rnQ+1wAWRg++M+fvCuec5VPVSRAEQVgayBglCHOHqAIKwgKgtf6DUup2jLrFxcD5wCeAjyqlXocx6M3GmuKSNjCck5b7HcxKIEAiK18P8NpJrv3kFL8tCIsapdTxGOP4x4AokM42pBcEYSwyRgnC3CCClSDMM0qpMLABeF5rfR3GSBil1DnAHcDHMTrl2exyPtfluZ4fs1q4I+fQ6jw/v9b51M7nbsyK4GNa656c656O8eoUmbpWgrD4UEq9FGPonlkpfxHgA36jlPpUrvcxQRBkjBKEuURUAQVh/jkOeAD4dE76FswKXmJcDngcM8C8RSm1MufYx4AQcENO+plKqTMzX5RSXozx8DDG0xPA9ZiVxs9lZ3R06m8EfgukplUrQVhEKKXOB/4IHAQ+xeiKeivwHPA9Z+VdEISxyBglCHOElU6nC10GQVjyKKVuxsQH+Q1wH+AH3gRsxnhBehQzSP1Ma32Fk+dCjLFuFLgGaMPECnktZsA7J6Pe5MQIGcIMgN/FTC7fBJwCfEhr/U3nPDfwV4x73FuAv2AGwHdj9NYv11r/av5aQhDmB6XU/RgtjLOAUoxNxoVa67uc+/5uwK+1PqWAxRSERYmMUYIwN8iOlSAsDJdi3M6eBHwT+DzQD7xca/1/+TJore8AzsBMCN/t5NsA/Bdwdh6bkQeADwBvwHhlSmNc234z65oJTCyRTIDGr2NWDHcCF8uAJRzFnAj8RmudzD3g3Pe/ZlTtSBCEscgYJQhzgOxYCcISwFkNvFNrfWGhyyIIhUAp1QV8RWv9VaVUBVk7Vs7xzwLv01pXFrKcgnAsImOUcKwgO1aCIAjCUuB24N1KqbLcA0qp1cD7gLsWvFSCIAjCMYMIVoIgCMJS4OMYW4xnMTYcaeBtSqlfY9wz24w3zhcEQRCEOUMEK0EQBOGoR2v9PMbQ/g6MjYYFvBG4BGMEf7rWenvBCigIgiAsecTGShAEQVhSKKUsoBITfLQzn0MLQRAEQZhrjmnBasuWLcdu5QVBEBYJmzdvtqY+69hCxidBEITCc6Tjk3u+CnK0sHnz5kIXQRAE4Zhly5Ytc3IdpVQUY1c1KVrr4Jz84AIw0/Fp69atABx33HFzWZyjimO9DaT+x3b9QdpgLuo/k/HpmBesBGExMhiL0NbXzr6+dnqH+hiMR4nEIsRTCSzLwsbC4/JQ5A1R5A0S9hVR5A1SGSynLlyNx+UpdBUEYaH5HeMFKxdQjQka3Ab8ZKELJSwc8WScgwOHKPaH5+R6Q8MJdrb1Eg56aKotnpNrCoKwtFkQwUop5dNaDy/EbwnC0chwIsbTB7fy2P6nebL9Wboi3TO+lmVZ1IQqaS5bxvpqxYaatdQWVWFZom0lLF201m+d6JhSqh64HxhasAIJC86enjbaBzoBKE0HcFmuWV3v2d2H6Y/EONQTpbzYT1HQOxfFFARhCbNQO1YdSqkbgWuB253I2oJwzLPr8B5u3nE3D+19nHgyPifXTKfTtA900j7QycN7HwegKlTBWU0nc0HLWdQUVc3J7wjC0YLWer9S6hrgSuAHhS6PMD9khCqAWCpBwDU7wao/Ehv5fyAaF8FKEIQpWSjB6ufAa4A3A4eVUjdg1Dbu0lqLga5wzNHa08a1z9zEY21Pjj+YtklHiklGQqSjRaRjftIJD+mkB1I2kAYLLDsJ7jiWO4bljoM7hu2P4iuKkvQOkGbUEVrnYBc3br2VP267jTOWbeaStRfRXLZs4SosCIUnCdQXuhDCwnCk+/OpVArbnjgCjez4C4IwHRZEsNJaXwlcqZQ6G7gU+BfgCsxO1vXAtVrrvy1EWQShkPQN9fPLJ2/gvucfIZ1lDpJOukgeriHZU02qtxJSUz+aE61IxACsFHaoF195N8W1ffRxEEiTTqd5sPUxHmx9jJMbNvH2Ey+lMlQ+F1UThIKilKqe4JAP2AR8GHh64UokHA2k02mebN9KNBHl+KrVlPjFlkoQjoREKkk6ncJluSZdnDhWWFDnFVrr+4H7lVIfwBgTvwJ4MfBupdR+jKrgL7TWMvgJS46H9z7OT7f8lr7hgZG0dNxLfH8Lyc7GMcJUZYmf5XXF1FWEqKkIUVHiJ+T3EPS78XpcpFJpEqkUw7EkXb1ROnuitB+KoFu72XuwH9I2qYEyogNlRFsBzxA1qzuJlexiKBkF4LG2J3n64DYuXfdyXrrmPFz27NRmBKHAtDPxeoMFDANvWrjiCEcDXdFuBmKDADx9UHP28lPynif7VYIwnu6BQe7btYWSIh9ul81JdesJegOFLlZBKaRXQI/z+17MO8uDGfQ+qJS6DXiH1np/AcsnCHPCQGyQnzz2Wx7aO+q2M51wk2hfQaJ9OaTcVJcHOW1dLRtWVrCmqYyKkpm/mPojMf65q4u//aONh59pJxZPQtzPwWeXgV1H7epDxCt2EEkMMpwY5pdPXs/9rX/nyjOuoDY80aK/ICx6Pk9+wSqJEbpu1FofWtgiCYudVCpV6CIIwlHLrU8+SX8iSv9gnOb6YrYd2slJ9esLXayCsmCClVLKBs4HXgtcAlQCfcANwPuAu5xTXwX8L2b36gULVT5BmA/29Ozji3dfQ09s1MtfsqeK2O51lPpLuOj85ZxzQgPLa8NzpsMfDno5fX0dp6+vIzIU58GnDnDDPTvYe3AAUm7adS24ymk6sY1OWwOwu3svH7vty7z71DdxxjKJ7SYcfWitryp0GYSZERmK89y+HopDPprr5kYVz5ruHpPYTgnCjImljIOXaMz4pIsmooUszqJgodyt/xQjMJUDUeAmjOD0V611LOf0Pyil3gBcvBBlE4T54lb9AP/fE78lZRknEumEm3jrWlaG1nPJ61Zx+vo6PO751UcO+j1ceGoT5528jAef2s+1t2ta2/sh6aX1sRWEKiooUs/Sl+ghmhjiWw/+lK2rnuPyE1+DW1QDhUXMJDZVk6K17pjrsixmEskU/YMxSop82PbUQkQqnaKtr522vnbctosVZU1UBMum9VvpdJrDfUMEfG6C/unH0vvnri4iQwm6+4apKPETFu97C046naY/NkiRN4htHT12MkOJYbwuz7yW+VDkMDsP76EqWEFLedO8/U4uiWQKt2vx9kVrTxvDKYmklMtC7Vi9GbgV+C3wR611ZIrz/wL8ed5LJQjzQCqd4mt3/ootXQ+NKOanImEqus/m7a84hVPX1S64hymXbXHOCQ2cubGevz64m1/cvJXocILBrmIGH9lM3Qk76XE9D8Atz93D/v6DfPCsdxL0HNu60sKiZjKbqsk4plYMntpxiP5IjIaqIlYtK53y/IMDh9jT0wYYo/Stnc9NaHeUy76OAXa19WJbFmdsrJvWpHBfRz+RodE7Y60bAAAgAElEQVQILJGhxIhgFUvE2NW9l6DHT1Npw7TKcMSkF4dj4lgihtddOIFyR9duOga7qAiWclzV6oKV40joGDjE9q7dBD0BTqxbN61xNTIU53DfENVlQbye6b0KtnXuBGB//0GaSupxu+Z/6tzeNcj21m7Ki/2sX1lJ52AXh6M9LCuuH2PDNJyIsbu7laAnMH/PSB5S6RStveOtdRbJ41RQFkqwqtFa9yil/FrrkQCNSqkVwMFcQUtr/T8LVC5BmFP6h6J89Mbv0WXtHk3sbuBtGy/jxaevwjWNFeP5xGVbvPzsFs7YUMdP//gM9z+5H5IeDmxRlDQXk6h5hlQ6xVMHt/Jfd36Dj7/gPVQGxWugsCiZyKZKcEin0/RHYqTTado6B6YlWB3oH93QG4zG6eqL0lkcpaps6kWWXW29AKTSabp6h6gpD056fkd3hJ37eic8vr1rNz1DfQAU+8OULlKPfbFkHK9rejt0kaE4tmXh941Ov57v3su+vnZqi6pYVdE8Yd59vQcYjEdoLl1GNDGE3+XF7/HPtvgAdAx2AdAV6ZmT680l6XR6nNDU2R3lob3PUhb2E4lH6Rvun9KjYzqd5tFnDwLQ1TvEptVHHtMxNcevnIHhQeKpBKX+4jF11HuM+UBX7xADQ8PoQ7sA6I72cvqyk0bPO7TTcYjVTam/mGJ/eE7LNyF5miGWSOJ1Ty2sRocTeD2ugs+H5ouFcrfeo5T6IvB+pdRmrfV259Dngdcopa7SWn9lIcoiCPPFzvYO/uv27xL3mgEqnYaa4ZP57GWvp6ps8gnGQlNREuBjl5/C6Y/v45rrnyQylKD3+Xpc3X5Ca58knh6mtbeNT93+VT517vsWdCVMEKaD2FRNTToN7dE2BhJ91Pin9wxnq1S1HuwH4NndXZxb1jjn5TvYZdZUk+kk7dF9WJZFSZeH8mI/Hrc9IlSBmYDmCla9Q33oQ7so9oVZW7VyzLH51ApIptLE4kkCPjft/R08d3gPpf5i1teoSfP1R2I8vq0Dy4KTj6sZUZfc19cOmADHZYES3LaLrZ3PYVkWqyv+f/bOO0ySq7rbb1V1DtPTk9PubL67SiiAhAQoIWNjsADLHzbGYJlshA1GEkbkaCSSAIFJFgKTDAZjjMhIQgGhsFqtdqXdrc2zk1PnXF1V3x8102GmJ2yY7g31Ps88u13xVPWt6nvuOed319LibWbHoWF2jO2hq83HZDoCWN/Vxb3PWlYEZSA2xHhqinUtq/E43Gj6/M788ZLKFDgwHKelycOqzhPTwY+n8jysHsTnkbn8rE1IkkQqq7Hr0DQTySxF3aCzxY+5jFCJUbFJLGmlsGXzRQzDxO+tdoxjuQSKJBN0B2oeS9M1AJzLdKhn0Q2dsdQkXocHn9PD9rFdAIi2dbT7W2ufq6iV/l809Kp1lSrDKS1zwhyrgdgQml5kTXjVsssChsZT9HcHazrCs0xEMuw+HMHrdvCcszqPq/3puoEkSctKca4n9aqxuhm4Bfg2UDkc8jkgB/ybECKiqurX62GPjc2J5qFd+/nC1q+C23rJmYbMNZ0v501XXXNSTyx5xYV9iP4wn/7uE6gDUfR4C8mnnkPovO3kSRHNxfnQfbfznsvftuhIqo3NyYIQwgv4gco8NAcQBK5UVfWrx3DMa4Hvqqq6aK9FCHEO8HngEiACfAn4pKqqDYmsFfQCiaL1kzuaGwTOWnIfeZH3lVbUcVaMSBumQU7L43N5mYwee9H6VH6ctG69Ow9MDaFICuduaKvaxqwxRL5z3BLfmcpESOQ7j/n8R4NpmjyxZ5xsrojoD7M/NQBYHfFcMY/H4V5w39kohGla0b2z1rWQKVTft92T+6s+75rYxwUd53NofIpsocjAWAKx2soiMEyD8fQUvU1di9psmAaD8VGgnNYGi3fm85pOMl0g3ORZdmRh+75JdN0klszTHvbicR1/F/MPuw4xnD0CKega8yO6+5iOl+9ZJJG3HKuZzxOpKVKFDJpRxCnPOf8c5yuZyXPfThUZhRecvYFQwPruotk4z0xY4/8Xds9XuMtqOR4b2sFkNMuF3eewrtu6h3unDpIqZBBt6/C7ag+mHomPMDzjSFeiTh1c8LuoN5Pp6VJ7kSSJ9S39pXVDE0mmYznW9M5/FeY1nX1HYvhzE1y0uaNm32f3YWtQIJsvMh3P0dZsvTtS2QJ9HcEl685zhSIel4N0VmP73klkWeLZWzpXvF79aKhXKuAbgDtVVX1j5UJVVZ8A3iiEcAL/DNiOlc0px08f2cF39n4TyW297KWim3+88PVcteXcBlu2PLpa/dx6w/O56+5n+L8HDmLmAsSefA5N5zyJ5oyRKqT56O8/z7++4K2c1XFq5N7bnHkIIXqwRJGet8SmR+VYCSEuA77DElMZzYhp/A54GnglcCHwcSy5908fzTlPFMVjkBJfaCBocDzJriOjSO4szxXraXIHeGZiL/FcklWhHg4fqu60LnazDMNgOhudmVNPIltMl9Zl9QyRRA7dMElntVLUzNsfZlXI2mYyPU00W51CWNCrdbBGsxP0+098pH0yliI7UxOmDkRRKvrChrnw/R6PZEhny5EH04Q9k/uJZBdOhZxl79ShUgra3K80mU/X2MNKx4yliiQzBfye2l29hTrzpmmyXZ0gV9AXrM3TDRNZqm4vum7ZWNDzbB3eQdgf4Kz2jaVtslqOdCFDi7d52RPJxgrTpf8PxIYR3QtHTjNalr3TVhp+MhNnTaD6+5/rmv9+5z7Gc5YD8cR+F1efb/2+7Zsup/Ifjg1hmiZ5TS85ivsjhxmZTJHKatyT3MpkoQfRsbqUTvnMxF4u7ju/po21nKpZ6zI57ahEX1aKymdrPDVVcqy0olFK3d22JwvN+rx9TawU4mgyT0uTh6JeRJblmuIihmGSzRfZdci6b7m8zpa180sPDo3EGZtOUyyaGKbJ6q4g0/EcRd0AHQZGE8tKc64X9XLxVgFbF1n/R2D9IuttbE5KvnXvI3xn3zdKTpVD9/Oxa246ZZyqWRyKzBtfdi7/8qoLrJEfzU1ix0XIGeslly3m+PgDd7BjbHeDLbWxWZBPAZdhOVffxurb34o1YDeNlR2xlNNVQgjhFkK8C7gPKC61PXAD1mDltaqq/kJV1Y8BnwBumRk8rDtSjSiPbpjk8ktdzvz9Dg7HOZI5xEB0jO2juygaOvGc5fTsGDy4jCOUGYgPo04dZF9874LOyPBEsuRUAWwbOMBjR3aW0v9mO7ELkSikyOlWuldB12puU9A1Yqkck9EMWnF+J7Fq26LOUHyUbWM7GMsO1d7ItFTq5qZrJTMF9hyOoJs6Q5nDDGcGMExjWU4VwGRmimih9hRsU5lIzeubiBUYmMiybc8EmcJc8eXFKRQNcgXdUoicLKeaaUWDR3eNcP+2IR7aPsxjz4xR1A3rWjKxkvT2SG6QrJYnmo0znrbsNgyDJ0efZs/UgZqiBzWve04UVDM0to08Ta5YW4kuWZEWl9RSNbepOn6+7ORM58rtqdJZNDEZGEtyaCTBeCSNBGh6kVSFkzyRiDGaKtcm5otHd78BRqbSPL5rnL1HoktvvALEknnGptMYhrngs6XP8er3L1IfORXLksyneGz4KbYO70A3dLJajpxerV2XSJfv1XgkTVGvfjeZpsmRsSQFzcCYiTgeGUtWDVLkNZ2J1BT7pw9TOIZ7f6Kpl2N1GLhqkfXPA+zJgG1OGUzT5I677+Pu0e8huayXvNds5va/uIWNnSe+FqFeXP3s1dx6w/NpafKA7iS960KMhDWiqekan3zoy+ya2LvEUWxsGsI1wDdVVX018Hasvv2vVVV9C3A+1ryJ1x3F8V6MlcJ+M3DHMs9/zxwxpv/FmmZkebJ6JxCtOL/M3jBMntg9zqPPjDERLZsZzyXYNbGX6UyUfEFn32C8JERRC8Mwq9KqctriTslcKkftc3q2ZniroM13uKKZZCn9r8oe08TQ57ty+xKH2T66i8eGtnM4Wu0MHY4O8ejgk9yvPsNUPLdoJxHgwFCcX27fgW6YJIq1t43m4mwd3sHW4aeqnKupmOUgTOXHyOhp0nqKA5EBpmLZJR06wzAZm86gmwtvF8mWKyzShQyxXILRSNn5eHr4UK3dFiSeypPUEhxI7WEke8SaZB747a6t7Jx8mlQxQVKznKb9g1Ee3KPywP4dHEkfwDANChUS3PkZJyhRSJU6xkOJ0SVtmK2jmktGy3I4cfiorqeoFxlNTpDKZzBNs+a9zBc1tg4+zWND26sco32DEbIzAxGRhHUtc4O6JmbJuR2PWGp+I5NLO3aVxFPWOUenakcgV5JsvshT+yZRB6IMTSQX3G6xNOG5jE6l2TW5z2oPusauyX08MbKTI5lDpItJTNNkMDnMkcQghmk554fSe3lseDuJXNmG5agM5rQce6cPMZaa5LHhp3h8+ClGFowMrjz1SgW8E/iUEGII+JKqqocAhBCrgTcBrwbeVydbbGyOmzt+cS8PJn6C5LBe0E1SO5+59iZC3pNTtepo2LQ6zO3/cgWf+OZj7BmIklcvxLVxO0rzJAVd4xMP/jvvvfyf5hWL29g0mGbgEQBVVeNCiEHgYuABVVVHhBBfx0rRu3mZx3scWDsjvvShZWy/Cfj9nGUHK9Y9vMzzlti9+9gixAeH40wlNJ4ZjBEtRErLH3x0B8PTljDv8MgwF6y33lc7o5az8jQQjcnEC9Wdu+GkJb8eLVrHOlBM0pr1MxK3lk/EC6SLMikjjk8K4JF9OIsRIsH5gbqUlmEkZe03FSuQ1xWi+jRFrI5pWsogx1zkUy6i0UjVvi4zjddVPR5cNExGpvPsV1J4QnEcitX5K2hWR3XvIWsgaGR4mGzY6rDF0gV2RPbh88hEo2Un4LCUpjVTFisYHimLZ8xefzwWxTDN0j1x5MpOwsjwcOn/+akMHR5rUGrXQIqklmVCL6+PYl2byyHT07JwXVY0VSSeqY5IjTirIzlStEjUPUXB0FDjVpNL5D14JT/DI8MoiSimy0qdcs2RwN89c70j0bJtR3YaDBWt40SY5vu/0ulpc7JveoB80SASLTs84+PjRI3Jsi1xB1Ejgps0HqeMNp0j402S0jIciAwyHssT9DpK9zlb0HEqEg5FxjBNokkNl0MmldMZi+aZ1CfJm9b1ysUkaa+DWLpIIG+U2uOIM8vI8DAO2UHRsJygglYgm82ye/duDqeGSGppdNNkdFKnSJGg3EzSKEeHokQYmRpiTUdZ/TKnGUxGDXTK93/Pnj0MpoaIRivkAjQnhVQMwzQ4PGHZ+vtHnyk9X7phMhEr4HHJDGvD5AoGsgRup0xOM8hrBtGUVmpTu73JqrbnkSYZyZa/n90VbbTyezOjGnF3+ZnJZi1blnqPjEXyjM48B8Mjwzhaym1almR2Jt0UDA0nLoZHLIfRMA2ieqTm8Wo+G0A6rxONF4hGI4TlNpR4AkmCbMKLIinEjQh+R5Lh4WE2BPstMQ5ngCPDSWLGNAoOmityb/NmlphutcXejmqBjUMcYoNn9bKu/0RTL8fqs8Bm4J3AvwghZoeiZKyxqm9ipWzY2Jz0/Mfv7ufB+E+QFMupanP08Km/uHHBYtVTkZYmD//21ufx+f/azv1PDlHYdz6uTdtQQtPki3k+8cAXed+V/8zG1rWNNtXGZpZpLIGKWVSgsvJ8AFh2OFlV1eGlt6qiCZg73JusWFc3phJWR1CbE8U5NBXHJS3ciY+ni2QKS49KTyc14k3lzmYmr5PBul0ZM0WfvI6CofH48CDJNLR4faxq95HSUyQKtUbE559zOSpvJjAWzWOYJvFilHRSp7O5PBdUNm+QLRTxemQcsmxFKwzYN5okrmskMtXnLRStc07nY+T1AobpRJaqO2zGcobQ59if0/Qqp6r6nAbTSa3kMPrcCiYQSxUxTJNMfnnRQM0oosYPUjRMZEkiYk4SoECraUmKj0XyFIoG4YCTkK/c9TNNk4JRO1WydGyzwMCkVjPHKWFUp66lzfnfr2FY1zEeszrvyWwRrWiQzuscGsuiyBJn9weYihcYmYm0hQPznfLppIbfO7/bmi0YTCcKeN0Kfo9CMlPE5TBmphsoEiukUSSrBmzWgU8aC6fcabrJeCxPsUYUtBaZnE6+kKPJX3lfyxHXvcNpcgXrc1QpkJ75TrvCbsYqHPuiqeGQnJimSc7MkjISBKQgUD2/2Xh2Cr/DR8Bp9TkMZp6gJczVDRNFltCKBolMkZDfgWFScqpKduhmaYDCMA12xy1BlaASJGfIuCUvBkcXpQaYjJcjgVkzQwCQkMiYKfxS+dVtmib7ZqKSMS1BzCiQNa3BnlQxTkAK0ay0MqmXHbeJuEJbk4uTQSCwXnLrJpZIxRew0itWY03SOAj8QlXV7fWww8bmePnugw/z64n/LjlVHc5VfPraGxdVgjpVcToUbnz1hXS2+vjh7/ZS2Hchrk1PoDRFrJqr++/gA1e+nXUVikE2Ng3k98CbhBA/UlV1ENgGvEYI0aSqagK4Aqg9xHpikFi4a3P0KhLAli1bjsmQJw88CkBHVzv5dDn6pJGl09uJz+EHINgaoq3Zy/RoilyhSFxLEKgxR21v0BIBSCfLo/RFpZWejiJgEtei87ZPKkPk8w5czZCiwIgBPe1N+Iwg6ZzGdDyH11+ky9uNnDMpmFanyyt76fX3IssSYSarjtvVGSzJYmdyGgNjSYJN1fNruQNeWkNeDh8ZIprJEQ4HyRrgkCRaVnXgk5sYyw1V3ZcSskS4t4PpaAo3Cq68SaenF9M0Gc0NEi6WC+tn74nSWruiYnWoh9XNvUzEEgTiGuH84vMBzro27oAXWZZIaBlkoKnGNFUt7U1VinvrW9ewZ2iUrOmnoBsosoTDkSVHGk9bL6FQFwlJwj+zfU9v2RbT6yCVTdMTLAs9ZJxh0hXzWZkU8cgePM62UlrcLA7JQdGsXubBTVdXEJ/HSVegncSUj4wpEw6Xz9vW3U/0SIzeHutzqC3EdD5Od7eVSuhRvPiawMgUyFbU5TQ1+/EEDJLxPGHDOl4BCIasq8sDLh9EoxEiHgnd7SJn+ukMe5mIZgmH/SxG0eGgYBgEm2oPlI5mvEjuZsLh6u9dQiKPWTp+lgRSWwddwXbGM3EkSSKpxUnnQsyOwWpQbY9cpM3ThSPQit40iBc3OgU2btyINl19j/MYXLBqE6OH4gyMJpAlif61a+lt6iqpOD72xE5GI3nczQpT+XGanCHWtvUQzebACZrThWGYBNtNDFMn5GxBkiQOZROs7p0vBlHUDfRcjGZPJwUjT75Qu03Xejayeev9MkvAEaSp2cChyGhykhZXG46CXNU2wRrI8GSjeKjuY7X6WqraKIDT56azxW+lrkrgLVjvhmN9jwI88cQTR71PvSJWAKiquhPYWc9z2ticKP7n0cf538HvlZyqVrmXz1x7E25HjZ7IaYIkSbzmxVvoCPv49x8/RWHvrHMVJaNl+ej9X+CjV99EX6i70aba2HwIKxXwgBCiG/h3rFqrPUKIUaw6q8+t4PnjVEfMqPi8PJWCE8784duh7GE2Bc8GYN9glD8cfpLeTi+5JSIjqWJ1Wtys/Hll8Xkl8Wy14xJPFWgOaAyOJ6vmE8rqmZJTBZA1shxO7aPV3THfhkyBTE7D6VAYna5dizIRzdLkd5Gdcz1F3WT3yBEu6psvnz2Lbpg8uG8H3W1WqlVci9Hp6SWhxUgVF649sfzp6nsdycbQTYPf7di1yH617V+KgdEEor/cAd09eoT942VxC73iBkcL05BfJNVwRkBjPJImndXobPFzJHNg3nY5I2d5LfNYPEwykpggGQ+QLWbmrSsaRSRJQpGUUoTvSOYgBSNPm7uTFldblVMF5ZqbnLH0fdo+vY/msOUgDE8ur3YpnV1c2GUocxjHXBn3GphYwiJTmQiRgkKru4Px3OJSAnkjz2DmEO6pxSd9LuoGkUSOg64xRibTM5E1k6cPTDGgGEgSNAfc7B+17t1Exqqxy+oZArEQykwUNpkukC6mGMuVo6nNrla04uLjQGO5YcKutkW3mRtxHqwQonHJ8/tMkQXEWRZiODswb1k6WyRXKHJoJo0y3BzE46q/DHvdHCshRAj4C6ATK1o1F1NV1U/Vyx4bm6PhF9uf5PsH/rPkVIXo5rMvP72dqkr+9Ln9tIe93Pqtx8nuvQj35seRA3HShQwfv/8OPnbNzbT6wo020+YMRlXVvUKIs4HXqKo6DUwLIf4c+CCWgMSnZv6/UuwD1s1ZNvt5vuJCAykaGpHCFOliEs3UaNdci6bemabJSHawalm8ECU6GFtWyt4sA2PznZPpwsS8ZQWzwGhuvvJeJFlbDW4uRd2sWfSeyKfYMf4MiRrCGLPEUgW628xS5zKrZ0pzgdUimswxEckQbvLQUTERfKqQIVWY70ycCIw51zYWXdhvNzGXVAAoFPWSMEOlEuPxUNQNRqfTeFwKY9n5aXfDkQiH0ioSMmsDmwDI67mS8MVUfpyQc/5vSjSZnzeZ70KYxxYoXhQdHd2oNQix8D2eLkzS6u7AmGNPLesMDMsZXoSxqTTJrMb98aerlhc0A0Oy7JiIpUkbSeJGhBCh8vFNHUVSyOs5HLKzKto8nZ+k2TVbwzR/sKDSxsWI5CeZKkywpa3s/Fc6+wWjQMEo4Cl6GY9UPyPprIYkUZadX+C2LiTmMlLhQA9N5djQU/8SjXpNEHwlcDfgZeHpLUysHz4bm5OKe3ft5K5d30BSrJGsgNHJ5657F17n4qNKpxsXig5ue9vz+ch/PMKU+mzcWx5D9iWZzkb5t/vv4MMvvJGAa/E0CxublUII0aKq6ijwydllqqr+nvmCEivFPcCbhRB+VVVnf91fjlX7dVKlux9K76uacPfAIgqAAPtS86Muk/nxBbefzI1SY9qauqHrxoK+REbLEqlZ51Vm9+FyZ3MwU1tRzzRNJElibNrqGE7Hc1WOVT2Zm543l8ISEQhjrqd2FCx0n5eKEO0c24sVZzEYzw2znvlO1IHUnnnLsvniktd7sjDbRo6WShn4GkclmV28Jq5oFDmUVoka8zOfE1oMl+xmNDeEgoJHKafS6uikZtL19g/FWdcb4tBIHMMw6e9uWrYq4FSNwZKa28XmRx1nHfuuFh/xdIHAMp3oWSrfa0cx5nNCqder7zYgBbwKS8RibY2/uSN9NjYN5w/7dvOV7V8vOVXeYgeff8W78LvOLKdqlrU9IT799stZ29lKXr0II2/dh8HEKJ988MsnxRwSNmcsY0KInwkh/lYIseIevhBivRDiuRWL/h2ryvwXQoiXCiHeiyXXfquqqg15MBYexVzZHkdUi5BuYOd3cCI1T0kPIJbK14yaHQv7UrvYn6xWGzsyniCTqxD1yC3eAa4XqSU64seDfgwiBlAdcUgVk+iGTlxbyRLI+qMfh8NaSbqiLc/KstdiMj/GQPoAY7mhBZ/w6cJkKRqso5PWq2XhR3JWZForGqgDUQqaQVG35pLKV0yrUCvSfCIZi2TI5otM1nC+lktGKxxVRP1EUa9UwPOA96qq+sM6nc/G5rjZceQwn3/sK+CwXmruQhufe8XNBD2nj/rfsdAa8nLrDc/ntm9v5Um1iHvLo0hOjT1TB/j8I9/gnZe9EUWule1rY7OifAb4K+A7QFYIcTfwfSyBpJVwbN4P/D0z/ouqqqNCiGuAzwM/Asaxfvc+vQLnXpJGdChOdmrNjXU8zE2JSmeLpLNJ+ruC+DyOE36+SvYNxmgOuGg/hihZKlPA53WWIhAT0yuTsng0PDm0l5i2cMrlyU6tp63yGZxYor5qMfYciZJ2ZmkJeRhZYp6rvJE75vMshlY0OHKUgxLT8SxBn2te6urKYVY9c0fyh2lKt3EWZ9XLAKB+jtXCOQM2NichB8bH+PgDd4DT6o858y189mU3Ew4EltjzzMDncfKB113CF//bwz27irg3P4akGDw+/BTf2PYD3nDRq44pBcLG5lhRVfUW4BYhxAVY81X9FfD/gIQQ4idYTtbvVFU96t6uqqofwhLHqFx2PXD9nGVbsSa8bygRfYKsmcZf9C69sc0JZ2AsSXPQjde1cl2som4wFc/REjr67InBiRQORWJVZxOFQrGh0cVZKic5Pl2o9Cdi2sLy7sthMpZFN1bOUV8JJqJZJqPZFY6Pl8nXGMhIamk0XcOpHF1K4fFQr1TArwJvFULM12+0sTnJGItFed9vb8d0WqN4ciHIbS95J+2hU3/y3xOJosj881+fz3WXPIfC/vMxTcuR+u2BB7lbvafB1tmcqaiq+qSqqreoqroRuBD4IvBs4JdY81Se1hQNnYyZwsRcolbDZiWJJfMLKheeSI413ayomxwaiTO8RATE5thJpE5sKtqswMipRKPj5sNTOdJ1TsmtV8QqBzixZHB/D0wyXxDFVFX1hjrZY2NTk3g6zU0/+wy6yyrglDQvH3rhO+hrbV1izzMTSZL4+5ecRXPQzV1/KOBaZ6kUfXv7j2n3tfHc1ec32EKbMxUhhAPoBlqxJuiVgOMbNraxOQmxkwNOTiZjWeLp43eGklqDZms4DSgaJnsHolx8Vv1KOOrlWH2m4v+vWGAbE7AdK5uGkS3kecdPPkvBNSN1WnTxrstuYHNPT2MNOwV42eXrCQVexh0PplG6DoEEt//hTj7kupEtXWsabZ7NGYIQwgn8KVYa4LVACBgCfgB8X1XVJxtono3NCccwzONS9bNZWU5End1KC0Wc7kynUktvdAKpi2OlqmoDhVdtbJZG03Xe8aMvkHbOZArpCv94wRu5aN36xhp2CnHlhX0EfK/ltge+ghQax5SLfPieO/jkn97C6rbFJxO0sTlehBDfAV6KNSnvNPBfwPdUVX2ooYbZ2KwgA6OJOooD2Nicesyd3HylqbvDI4QICAufEMKWDrNpOIZhcNOPvkxUOfXGhfIAACAASURBVAiAaci8evNruOqscxps2anHszd38YE/eQtkrXo0w5Hh3b+4ndGIncpgs+L8BfBT4CVAt6qqbz0TnSo7K+zMwnaqbGyWor4PSd0cKyHEBUKI+7By3HcBzwWuEkKoQoiX1ssOG5tKTNPkff/7LUZ5ZuYzXNt/HS+78JIGW3bqcu7aLt531Q2guQEouiPc9D9fYjxiF0nbrCidqqr+vaqqv1JV9dgm1zkNkGzXysbGxqZE3qiv6EddHKsZ+dsHgX4shcBZkoAX+IkQ4k/qYYuNTSW3/vxH7NceK32+ouPFvOayqxto0enBef2reeelbwbDesVowUFu/P5djNVBJcvmzERV1ZWZwMXGxsbG5pQlq9d3nrZ6Raw+AQwC52DNBTI7oeKjwLnAbqzJFm1s6sYXfv1ztqXuLX0+P/gC3nb1tQ206PTiueu3cP15f1v6nG99hpu/+SNGJutbSGpjc0ZhB6xsbGxsGka9HKvnAXeqqpphTrKjqqpx4GtYDtaSCCFahRBmjb8fnXizbU5X/uPe+3gw8vOSTO0G9wXc8uJXNdao05A/P/t5/Nm6awBLEjjX/Ti3fONXjEfqO4JkY2NjY2NjY7PS1MuxMoDFpvYOsPxxtmfN/Psi4NKKv1uO2TqbM4rvP/RHfj32YyTZ8vF7HYKPXvt6JHsykBXh+me/gmd1WEIgkqKT7voj7/nqfUzFsg22zMbGxsbGxsbmxFGveaweAq4XQnxx7gohRCvwFuDhZR7rPGBcVdXfnkD7bM4Qfvrodv5n4PtIDqu2vU3u55MvfxuKbAtUrhSyJPPO57+ed//mNkZTY8ieDLHWP/Lerzi59a2XE27yNNpEm9MQIYQb0FRVPf6JZE4hbPEKGxsbm8ZRr4jVe4D1wDbgZqx0wBcLIT6OpRDYCXxwmcc6D9ixEkbanN78ZtsevrP3W0gODYAmuvjsy/8Fp1Kv8YUzF6/Tw3uueCs+pzX7uRKaZtK7jfd+5WHiqfoq9ticvggh+oQQdwkhJoA0cKUQ4gohxG+FEBc12j4bGxsbm/riUOo72FQXx0pV1aeAy4E48C6stL8bsdL3hoE/VVX18WUe7jzAJ4R4WAiRE0IMCSFuFkLYw3Q2C/KbJ/by9R3/geSyhMO8ZpjPvuwmPE53gy07c+gMtHPT896ELFmvHUfXACPGLj7w1T+SyhQabJ3NqY4QYh2wFXgF8Ajl9HIZK138ASHEsxtkXt2wU5ptbGxsysh1fifWbR4rVVWfVFX1BUA7cAlwGdCnquqFqqo+sJxjzEwofBYgsGTb/wz4PnArtqqgzQL85vH9fO2pO5G8ltS3ywzwmZfeTJPH32DLzjzO6RT8wwWvLH129u/icOIwH/6PR8jmFyvDtLFZktuwank3A6+jrD57H7AFmAA+0jDrbGxsbGzqT53HmurmWM2iquq0qqqPq6r6iKqqI8dwiJcCl6qq+i1VVX+vqurNWKqC/yqEsIs1bKr41SMH+OqT30T2JwBwml5ue/GNtAXCDbbszOVFGy7nmvUvAECSTVwbn0QdHeHf7nqMgnbGzutqc/y8EPiyqqpjzFefHQS+BFzcCMNsbGxsbBpDvWP4dSkuEULsWs52qqqetcR6Hbi3xqpfYQlgbACePmoDbU5Lfv6HA3xjx7dRWqYBUHDykRe9g95QV4MtO7ORJInXXfBKhhNj7J7ch+Qs4Nq4je27nXzqO1t592ufg6LUfczH5tTHBcQWWW8Adu6vjY2NzRnF6ZkKOAGMz/mbmjm/ABTgnqUOIoToEUK8SQjRPmeVd+bfqRNmsc0pzY/v3ced236A0jIOgITCe6+8gfUtqxtsmQ2AQ3Fw42VvpN3fCoDsT+Jat5NHnh7l8z94EsMwlziCjc08tgKvrLViJpvheuDJehpkY2NjY3NmUZeIlaqqVy60TgjxLOA3wHLqrNxYtVV+4PaK5dcBe2dSQGzOYAzD5K67n+Hu/b/C2Ts4s1Tixue9gXM6RUNts6mmyRPkXc9/C++759Pki3mUlnEcPQe47wkJr9vBW/7yPLsQ3+Zo+BDwGyHEr4D/w0oHvEAIsR54O1bt1UsaZ56NjY2NzelOw/NtZhQD72AZcuuqqh7CEqv4qBDi7UKIFwkhvo7lWN28spbanOxoRYPPfm8bP9tzD87eA6Xlb3nO33Fx3/kNtMxmIfqb+/inS64vfXb27UdpGeUXDx/m27/c3TjDbE45VFX9PfByYBPwRaz8j09hDca1Aa9RVfXXDTPQxsbGxqbu9Ph763q+k2UCnwjWPFfL4fVYCoDvALqB3cB1qqr+3wrZZnMKkMlp3Pqtx9kx/RSu9XtKy//uWX/J1esua6BlNktxcd/5vPKcv+CHT/8MAOe6HZiai/++B/weJ9ddvbHBFtqcKqiq+gshxAbgAmAdVpr5EeBxVVW1hhpnY2NjY1N33HJ9S2sb7lgJIc7BStPYv5ztVVXNYk04/J6VtMvm1CGWzPPhOx/hYFLFtXFnafm1m1/EtZv/pIGW2SyX6856MaPJcR4ceKykFJjffQnf/PkufB4HL75sbaNNtDlFUFXVAJ6Y+bOxsbGxOZOpc0VBvVQBs8yRv53BSTkd8W/qYYvN6cXYdJoPfO2PjBcGcG3ajiRZzeyqtZfx6vNe3mDrbJaLJEn843NeQyyXYOf4HiRHEbfYSn7Xc/ny/+zA63Fy5YV9jTbT5iRCCPGLY9jNVFXVrrOysbGxOUOod612vSJWP6C2Y6UDY8APVFXdWWO9jc2CqAMRPnbXYyTMMVxiG5JsNbFLV13Em5/9alv44BTDoTi48Xlv4kP3fpbDsSEkVx6XeJz87ku4/fvb8LoULjmnu9Fm2pw8nEXt35XFsOUmbWxsbM4gTst5rFRVvb4e57E5c3joqWFu/942NFcU9+YnkBQDgAu7z+GfLrkeWW64LovNMeBzernl8rfxvns+xWR6Gtmbwb35cfJ7Lua2b2/lg69/Ls/aNHe2BZszEVVV1zTahpMR07R9RxsbG5tZXA6lrueze582pxSmafLf9+zltv/ciuaM4xZbkRxFAM7u2MQ7L3sjDqXhpYM2x0HYG+IDV76dsDcEgOxL4d60Fc3M87G7HmXPQKTBFtqc7AghzhFCvFQI8WczYhZnDEXddqxsbGxsGkWja6wWw1RV1b8S9ticmmhFgy/9aDv3PD6I5EvgFo8jOS2hr42ta/nX5/8jLoerwVbanAg6A+184Mp38MF7P0Min0IOJHCLreTUi/jQ1x/hE299Hmt7Qo020+YkQwjxSuCTwCrKGSCmEGIX8HZVVe9tmHF1w3asbGxsbGbxOrx1PV+9IlYfAUYBF3AP1hwjnwZ+Ahgz2/wIqxZr9u+HdbLN5hQgmSnwga89bDlV/jjuzY+VnKq1zau45fIb8Dg9DbbS5kTS29TF+654O36XDwA5EMe95XHSWooPfO2PjEymGmyhzcmEEOI6rHkOs8CNwLXAK4B/BTzAL4UQL2ichfVCIiS3NNoIGxsbm5MCSapvcl49c6aagAvmilQIIXqBh4ABVVXfX0d7bE4RhidTfPTORxieTCMHorjEE0iKlf63vqWf917xTwRcdnDzdGRNuI8PXPkOPnb/F0jmU8i+JO4tjxHb8xze99WHue2GF9Aeru9olM1Jy/uBx4ErVFXNV64QQnwJ+APwMeCKBthWV4JyM0G5mTSxRptiY2Njc0ZRLzfubcDttZT/VFUdxopgvblOtticQmzdPc6Nn7vfcqqCEaumasapEq3reP8Vb7edqtOcteFVfPiqdxL2zNRcedO4z3qEqdwE7//qH4gl80scweYMYRPwnblOFZTmP7wLuKjuVtUZh2KrodqcWviUxX/DV/vseQxtTh3q5Vj5Kaf81aIJa04rGxvAEqn48b37+Midj5DOFZGbJ3CLJ0DRAdjSvpH3XPFP+Fx2tOJMoC/UzYevfidtPivFSXbncG95lNHcET74tT+SzBQabKHNScA+4PxF1q8DButkS8M4FaaZ8HttgSEbC5fkwu8ILLqNZOus2ZxC1Ku1PgDcKIS4YO4KIcTzgHcAP6uTLTYnOXlN5zPf3cY3f74L0wSl4wjujU+CbDlV53YKbrn8Brx2TdUZRVewg4++8Cb6Q70ASI4iLrGVgcIu3v2lh5iOZxtsoU2DeTvw10KIjwghmmYXCiGcQogbgDcCb22YdacQG/pCKPLKOWh+z7GPowa89hjsiSLkbG60CSsyELCqY3FHzeb4ORmfw9WdwRpL6z/QVK9ho5uAh4GtQohHgINYV7sReDbWSOONdbLF5iRmMprl4998lANDccDE0bcXZ8+h0vqL+87nny/5B1v97wyl1Rfmwy+8kc/+4evsGN+NJJu41u1kdCzBTXcU+Mgbn8eqmi9XmzOAO4Ac8F7gFiHEGFAAeilnRPxcCFG5j60+O4fuVj9Oh8KGVc0cHomT1xZLNgFFUtBNfUVt8il+MnoagIDPSTZfRDdODfXDrlYfY9OZqmUORcbpkMnmiw2yyiLsaieunbg6PGmmE2vOUaZscbURKUwtuNeJxnscjvuxEnA0kSom6npOl+ymYCyeCt8id2BSbmdOh4xWXPyZXoquFh8X9G/gl0/uOK7jnGjkFRwMOhrqNUHwXiHEOcC7gT8DZiNX+7GKiT+lqqot8XWG88zBaW791uPEUnmQDNzrn0ZuGSmt//ONV/Ha8//Knvz3DMfn9PLuy2/g61u/x32HHgbA0TVAwpvkXV/O8cHrL2fzGlsV7QzkCWyt8eNmNoAgS9Kyogldnj6GswMrZo9TctLr7WdfatcJP3aPdxUj2WPLDg0H3USXUd/pUKp/r0J+F91tfkwT1CPRYzr3icIlLz5AuaEvRCJdYCK6cDZAq6ud6cIkAKt8a3FKTg6k1aptwp4Qsi/NVGz+cWRJPuEPrdKALkKPdxV7k8/U9ZwtrjbGcsOLbuOTA1UiNt1tfo6MJY/rvG6XQl9TNxI7VuyF63LIFI7SAXQ5T46+Yd0SnVVVHcNK+bOxqcI0TX76wEHuuvsZDMMERx7/5h0YvunSNq89/694qXhhA620OZlwyApvec7f0d/cy39u/zGGaaCEImie+3nPf8Z5659dxTUXr260mTZ1RFXV6xttw8lOe7OXqVi21BmSkTEqyp8VWSLoK3e2QwEXucjiKbYeZeE615DfRTxt1T9KVHu9MosXXs+y2r/+hKeLbVzVzL7BGDIKXZ5epvJjFI8y6tYR9s1zrFZ1BBidTldN0jzX8p52K03NNK1tAo4guqmT1ctRrZagm8hxivL4PQrp3PFFEhXZiqyt8W/kcHpfzW0CjiZcsgdZkhdsCy1BP+h+ppjfljo9PSS1+HHZOZct7RuZ6ogxPgVHM9YiIc2Lti1FwBGky9O34HqP7CFn5I7qmCuJ171wt7+/K0gq4ik5ykvR413NcPbIvOXr/YJD6X1V75ajJRRwV72rZlnj28DhzP5520vAptb1ZKciDGYOVayp/1hbXStIhRBXAC8B+oB/A9LAZcAPVVXV6mmLzclBJqfxhR9s5w87rMiU5Ivj3/IUumL9yDhlB2977vVcuuq0F/OyOUokSeLPN13N6lAvn/3D10lpaWR3DmnTI3zpoUkODP8Jb7j2XJRGDF/aNAwhhBPoZIEaYlVV5/cETjN6Wz0MT+doDriIpcrCLm3NXtqavew+HAGqU7ZWdwZxOeWqdJpw0ENeMyhkHKVUvLkokrKgHcqMQqFP8WNiVjkPtXBKTjSzuiswe/zZdLLjqf0KeJ3zUoWbnM00OZvJ6zkGMgcW3HeuI1gr7UiSJPq7m2ZS2a3zeZ0eWl3emp1Vj+ylx7uaidwoupwj5HcT8DnxuByEmzwcGD46hyPkd5HMFuhu9ZOIZQl4DFpb/UiSFWU4NLK8VDVFlggH3aVrXCqyFXQ2VX92NJGsSIuTkGh3rOKIFK/6flf51rK2q5WHDy0cNXTJbtyKh839YQ6NJMhrSzuLrb4wIryKVYE826LjS24/i1N2UjCWL4TU4e6m3ddWSq0LOZvnpVY6ZBecRI4VwJY1LRwYjlGYk+brUGRCzpZSW20Pe5msEa30eSzXYV1HJ8qkgyOZg1XrFfnEuBahoLtK9bfV1Y5Lcc+LNF//vD9BkgwcioO9So4mRzOJYuOmmqhLj0MIoQghvgfci1VL9ddAB/Ac4NvAvUKIUD1ssTl5ODya4J2fu7/kVCmtw/jOeazkVIXcQd5/5Ttsp8pmUc7pFNz2p7ewscWS5JUkcPYe4DfT/8W7vvabmj8MNqcfQoi1Qoj7sCYIHgAOLfB3NMd8oxBinxAiK4T4oxDi0iW2v0wI8ZAQIimEOCiE+OCMo1dXOppdnLsmSHfbwkX8vd7+qs9+rxOno9pJkiSJjrCv5v6KLLFpdZhQYOFOdzan0xx0L9vuHu9qWl3t85aft6ENWZLwuBSa/CtTX+tWPKz1b1pwfWuN+fJW+9ZVfW7ztuByKKzpbqKzxcu5/X2c034WfsfSdZ/re5tpa/bicVmdUo/LSVdr7Xs/S8gZrvrc0x5g06owTX43MuB1yTQH3YQCbjwuBx1zrqG3PYDXNb8TvKGvmfYFvvfl0OHurorUOZ0yiqzQ79+AW7bag0/x41V8rOsJVd2fSlEEn+Iv3eNVoZ6qqQTmtt9azHXC1/Y00d8VXLBNOqWja1vNrhYuO6+n9Lnd3U2nu2eRPY4Op2Tdi9qiDEszW/MmVXwbs/9b39tMZ0t1e3A5FVZ1WW1ibU9Tzeq3/q5g6Shet2PBKOXRRv7m729FhSudlJaZd0Pl97SqI4DTIeNQrHbc29544ZJ6DeW+B8uZehuwnvJ3+1MsR+sS4AN1ssWmwZimye8eG+DGzz/A8GQa5CLeDU/jWr8TA2s0an24n0+86N1sbl/fYGttTgXa/a185IU38pdbXlxapgRjHGn6OW+78z95YNtQA62zqRNfAy7Fmq/q/Vi/O7X+loUQ4u+BrwDfAa4DYsCvhRA1J9URQqwHfgOkZra/HfhX4BPHdjnHx1LzWSmLpG5VstBRXE4F0baGDX0LK8sZpsls3zawDOfCrXhoqnAW2t1dAISbPLzwfMHaniaoSNeSlhA+WN3urVKIq5xM3O9xzNvbKZc79W0hT9U5agXK5t6/1SErJczrdtDS5MXjcC2YxihJkDMWHvTZ0LqGcNBT5Rw0OZpZH9hMr3c1be5Orj77nBrHXfietIaq7fW4Fdb0NNE8xzk+3tRLRXbQ19GELFnOzfqeMKZp1VP1+zew3i+4qO8szt3QhiRB0FEeV28NldV+u72rkCWrmxryBKsa40IS7R3u7qrPs9+52ynjcSn4PE66W2vr1cy97qMt55YlmZArzDVnn1daFnYefb3v7LPb79+AV/GVIr+zhPwuHJJSdd9q0Ra07qVLLjuSlZfoc3lwzTgps4vXdIdY09NUcvDn0hIIsKnVegUuJhbR4elecN1yUWQJsab8PqjVLgO+Gs5wgzUs6pUKeD1wp6qqXxZCtM4unJnI8XYhxDrgFdjKgKc9yUyBL/3oKf7w1GzqXwK/2IHuLGuXXL7mEt500d/ayn82R4UiK/zNeddybtdmPvvQnSS1BJKjiLlqO59/fIiH9ryQG669lFBg+SPoNqcUlwAfV1X1o8d7ICGEBHwY+Jqqqh+eWfZbQAX+BfjnGrv9FaAA16mqmgZ+I4ToBt4mhLhZVdWTSljDLXvp8vQynBmgYB7bPHCdgXbyhYVTs0IBF0XdSjdqdrYyma+dlhXyu+jy9eCTnKSz1oSwmqERcJRTzJo8fmZ7TM0BN5FEnk5PT1XxvlgdZu+RKCYQDjiRJavjtboziCQxr7PoWCTFLRR0I+VCBB3NHEyrmAt8e+3uLibzYzQ5QjQHfFzkP5enxnZZTkRzL5jlKGClAyNJEj1tflo8HsKdLSSKkarjupTqQKdDctDu7kSRFPyOIH6COGSFVd41DGYPL3gdS3Fh9zlsNXdWpYzWYiFlP4dcOyB76ZpzORIeod3fgttZvY0iO0oCQ6Zp4lY89Hn7GcoO4HRY3oxTci6aZjqX1b51yJJc5UQAtIW8+NyOme9+8R53m7uLdDGJieUcd7X6lp0+Ocu63hB9rQG6PNPIyHgd1U5cc8CFLEuEgx6mJmQ6PT3ops6R9AFMTNaH19K/ysXufRlkSWaVby3anOn3nr9pC3v25Zd0gMMBJ+s6AmyP1U5FvGrjRTxlTrF98in6ZgYgJKAn2MFIcoKQu4mJOXVxF/WcWzpvZ4uPgwukqzY5mpE8Mnk9S1SbrrmN26mg6TqGAT2tQZLZHJmMgc8RwOeeTVM8fi+pvUa0eSWpl2PVC2xdZP1O4A11ssWmQezYP8nt39vGVDwHmCidR3CvVtEl6wFyKU5ed+HfcNXaS0+JSS5tTk7O7tjE517yfr70yLfZNmbJwSrNUzyp/4g3f30Xr7/sz7nm4n67jZ1+jGNFi04EG4B+4P9mF6iqqgkhfo6lbFsLN6BBVU9kGgjMrDtpCi06PT1IkoRTcrEmsJEp5heDLwdJkvC4HbQ0uUllNbpb/QxUKI65nUrJsVrseVNkhedv3ogsy9y/bQiP4sOzSJ+6vdmHYcKm9k7GDpYdK1mWWNcbIq/pxCtSgP0V6WVdgXaKRpHudT0MDS7s6yqyhCwpC3br/C4vCSDsaqXJ2YwiKTgdMk48XNx7PkiUoi3nbmgjPzRKc6B67sW2kJ9z+9oYSRRJRCM1zmLJ3w9Npljr3zTvHgZ8TrwOPz7Fj9M7v0w96AwgSzKGOV9EwCtbnU2fy0vA5QPKCoWVZ5Fnztniaq9yrJoczQScwZrOz7kb2gh5PZzrLadWup2LO0m+mQiU06HQ3eonFi877MuR0ZaQ5jlVpWMvU37dJbvY1LyZYEAh7RhdVNI/4AgumHYmSRJNFXOEtYU8M/0eaA/7SkqR0kzkVZEU1vg3AiB6W+ls9nFYKWdZVKbo+twOfC4fa7u9DI5Xq/t53Y55Ev5OhzynDZc/KbLChZs7cYX7ieUsB9IhO1jX0k9noJ3pSJF9Y9WDIZVtcLHvxboHIXCGCDibiBWmaXI2V4ldyLLE2s4QWtFgXVs3Hb52hsYyxIpTmK7aNZ2b17Sw+9A0LslFwSxYgxeLEA44F0xnXinq5VgNAucusv5ywM7VOU3Rigbf/dVu/uf3+zFNkFwZPOt3Q3CylIXbH+rl7Ze9nr6m4w8f29gE3QH+9fK38MjgNr786PfIGRkkRcfo2clXdg7yiyefyw0vvWLRNCabU45bgQ8IIX6uqure4zzWbI9wrsdxEFgvhFBUVZ0bqvkuVjTrE0KI27DS3t8B/ERV1WNyqnbv3n0su5HNWk7FSHSYaIWDMeLM4lHcJCfCpCSrlrWnxY1mxhgZLhd7O2QHRcPqoBkmTE1D3qweuc445JJ9zYaETprYdJpMMk++aCCj4JMzJDJFCjknUsxJdDYqU3ASTReZVezqMtahqpZEdy6ZZTpZ7STs9iZL11OJlhwnWuGQjDjLNhY1KwJjRjRGsxOl5Ya3QLunhQIaQVlnz1B1By5ajNDsdzI+miU+FSAuJYnqEdCcRFMaPilIEQ1pWmd4pNqeWTvnki3myCUjzFW5dikudic9GKbJZGIczSh3it1xmaKeJ5GdohBzMpIcqdq3Nehk394kfkmn2ZRI5uKMVEQPCloBWYKmlJu8rhEtxGl2NSHFHeTNHG5Z4cCBgySnXQwmjhCNlvcdduZKnX7DhFjMiWGa+L0muLNEEzouRwvxQpI41kWt7/bhkCV8HoXx4STjc1TAE5kiw6Nl8ZLKezU8ExWKFiOl77DF5SMdHyeTN1jb6WXfvlHSiSjRlNU2hpPDxPUoxkwo0Znw4pLcpWNns1mKRpGRRPm+rfL30OQM8ExsL2jF0rFmGUmOcP76IHreYGR8GN00iUbnP7qdSh8GMvnwCLt3j5bsBzBzU6Qi7qpla/u8RIqTOB0yE2PlNjo56URTqp03px4lEnRW7a/kRnGZBrmCgaQoDB0cRJFkWlwmyUS0pEIZ8q1mKjNOAUvwoanFQzabZWp6Gm1mWeUzsjszo1BpFDE1jYDDx549e0rrJ2KFqucLqt9JumEyPJIsP9czDCdrScDLxEhUbWv6nUwZVjsYSBUo+nLIQC4zyXS+7OgXMgVkrYm8NElkPAn5PN60j1VhH6mROLtHym13aCrHZGSSjJmkWCzidTqO+T16rNTLsfom1g/eH4F7ZpaZQggPcDPwKuC40zdsTj72DET4wg+2z4ysmCgdR3D378OUyj8gL9pwOa991nV26p/NCUWSJC5dfRHndm7ma4/9gEdGHges2qthfsW7frqD5zRfwete/Gw6W+o7omWzInwT+H/A00KIfcAE87V2TVVVlzNvw2wO2tyechKrNtkPVOUIqap6QAhxE1at17tmFm8D/mG5F7AS+N0K6byO2yHT4m6mx9vBpKExGsnTEXLRGXYzUTGdUn+gF5/iYXd8YYU8AK9cfma6ve2EXEG8ips+b5Zo3EBXMuQUy1nzSdUj+26XbGkCAx7JV1XbtLrDS2fYza4jiwcfm11NS6aK9Xt7aHU3VzlWVdfgrr1/s3+2a2QiV5SiuyQPLYpVQO9WXBxvELLNbdWPyJLEhmB/9T2XoNPTSqsrxM5I2SERfX7SOZ2WoHXP/B6FdZ4WInkZwzTnXasiKfgcCj6HFS3zyRo+ll/gL0uwoddHTjMI+nwki2nODvsoajJqhVPa5Fu8O3m0+QEdnjb8gXIKl2H6CPvdFHWTsKOVc7qCOOIeioZJNq9DDcFJh+yg1R0mriXp9XXS5Cxfd9DnQJYgmipimCYtcsc8WxdK/5wVT5CXmfXQ7A6yLtzJZK52SlwtNnT7GInkaQk68flXcTA5iNdltUVlJhKqyNJM+7TGeFySC0mS5731elvdjCeL+BcIAztkwyqWmQAAIABJREFUR6ktzsWFu+SonShm7ViozcwVvrh6zbkUigaumTTRzrCbzvByU/pPX7n1W4GzsYqAZ4cI/gsIz9jwS+DjdbLFpg5k80W+/cvd3P3QQStK5Y/h6t+NHIiXmnnI08QbL3oVF/ed31BbbU5vAm4/73zB63hq7Ll88eFvl+RwHW0jbNN/yNZvbeXKVZfzyqvPsh2sU5tPAi/CSsVzAV3HcaxS32qB9fNyq4QQbwC+juVY/QDoAT4C/FwIcc1MTfFRsWXLlqPdBSiPKl8pXsCeiQOkcxpdTWGe1b25NMG6YZilVJ7pgbITc9GqC3HICvEBy2kwTBPD1Ejr5W2anM1csn4Tazprd8as/QyG4qMMTqTQkj4kScKdd+AKZAg3eZBdCbKFIgFHELF2PWt7qgvx48VyEsuWLX3z7Dy3UxDyNPHQRDm1qKe3LBSQn8rQ5mtly5YtJIfyaLo1mLe5bT1t/vJ2ze1p9s5M1CtJ0OrT8c+kjnlkDyFXmDa9lZZWSEQcpZqiLVv6mMiWbewI+9iytrZQQSqfJjNWHkxc39KPBHQFO6q2m73nAJs6NxLyWP69tynG6FSadX2hJVXPHhqwBpBGhofxeDzz2lClzRtXN9PTFiA7UmQiV+509/a2Utn0L+yfL5KRyhRIGWUnbvY7WohoIkdWKqcSVm4/a1M6GSt9h2f1bMHnrK6N2ahvJKNlCbmDSJJEbMBy7HKFInqsrSQmsmVLX+kZuHDLhfNsqWxH+aQbLePG6/AjyxJbtvRiGAbRQctTK8ox8jOy5F6Xg7DcTWBGXn72Girv6dqeJlZ3NdHdl2dwPElni4+OFh++2BDOeHUqqIRJh6daRXDDmpZ5v0OGYZAbLL9ytvSXv9M4fg5HRgg4gqzr6CI9nC9NjeB2F/F6vWzqXktPYX5qXeVxahEYTzJm5khUSMhXtqeibjCdHyGdrJY27w2W0/NaQh4i8XK7NtJ51qyeX/O0KtRNf7N1P9vTneyZsgYZOvytbGpbN2/7hXAOxogoBRKak2g0gsvlPub3KMATTzxx1PvUxbGaSZn4WyHEncDLgXVYRb5HgLtVVf2/xfa3OXUwTZP7tw1x1927iCRy4Mzh7NuLo706jeHKtZfy2vOvI+Cqrc5jY3OieVbXWXzpZR/hZ3vu4cfP/JKiWUBSdJSefTyQPcJ9d67lsr5L+eurt8yb68bmlODvgbuBv1FVdfEJk5ZmNrckiFW7RcVnXVXVWuGUdwO/UFX1zbMLhBBbgd3Aq4FvHKdNR02Hv5WmVQFcirNU7zPLcupWwPIwPYqv5Fht6uphTaif1R2LPyOyJLO6uZdiOs5gygr8tbo6OG9DkMH4CD3tOgNjSYIe3zHJSc9ezws2ncUzI4c5p3cNk/mx0nq/o9x5O7tjE7sn9+Nzemn1VTuD3W1+wk1unA4FwzB4dHj0/7N33mGWFWXifm/sHKbT9Mz0JGagJjEzMMAQREHAACqorHHZlV2zi2nN4K7iT9bsioIBVESMKKsCSpAkOQxMYEJNd0/o6ZzTzeH8/qhzu2/neO/t8L3P08/tW6fOOVUn3KqvvjS085jof5V5Rfi7hzrqn7SiaMB5f3n52GNZrjcHr8tDOBZhZdEylg0TqCZi/cpi1q4omnIOL+cogZ9PXV/Gy7XteNwulpaYNltAZUkuLZ1+CvO9uJyOcf2L0sFoER+9Ls+IoB4zJcudhdsOMDHaO7F6WSGBYJS8HA+WBf1tI+uU2Ym3YTDyYnFB1pCw7qNpv0br40TRPIezde0yomEXDhysqyrmpdGs8GbATD2RT11XxuO7G4jbz1NlThVluXFyPTmU5BSzt+UQbqeLFUluIGV5JVSFfYRjEdYuWTn1kyZd7Ex4UqdFsFJK/RL4o9b6TwyaAgoLjOoTXdzyp5dN8kl3GPfKI7iX1uFwDq60LCuo4N9OfzvbKjdlsKXCYsXr8vDWza/jonXn8quX/sxjdU8DFg5vCPeqQzwbPsqTt69hR8UZvPWVm9iwZokEuZg/uIG7Z0GoAqi2P09iqJ/VScBY/lsrgV8kF2itDymlOoCM/eBlu6cWBXP40+5wOFi3rJSc1mxWLM9i07JVAzljJsPKpfk0tPUTj1tsPbmckpxs8j25vBw/zJJ1BWxdugHXJONabyhbx+GOI+R78yjIMpqbDctWsmGZmXyV+HLR7UfIdmeR6xlsY743jzNXbBvzuIlogS7nMFMpe36WiFQ3nBXl+bicDjxu17jRRp0OJ9sqN9Ef9rEkZ3opOycrVG1ZqtjfqnE73ZRkjTxXSWE2O7csw+1yDjnmksJsivJNUuCJwtjPNcYy2ZsMKyryqT9uNLOb19pBq5O673I6B0J6W2Oc6JRVS/C4nWR5XUMCpSRTlF1Afe+g0O5yOin2Dmo4XS4HedkeSgqzR9t9THKzPZy9xeQNc7mGP6czu49TyUE3Hk6nY0Cw8ji9bCgf1FaeVbUdp8MxYuFnzXQEKowZoTPJRNg7RtTKVJIuU8ArgafTdC4hzZxo6eNX9x3iyb2NOLwB3CvrcFfU4XAN+nbnuLO5cvNlvP7kC6Y0KAtCKijOLuQj51zFGzZeyB0v/Yk9rfsBcHhDeFZp9sRqePHuFaxgC28+dxvnb18xInmqMOe4G3gDxhxvplRjgi5dgclNhZ3o9zLg3jH2OQycm1yglFoPlDLFxMTp5uTSNdR2Hqcir2xAuNhQvo5DbbXkeLLZumwl29ZMb5LmcbvYubmSaCw+EJ3N6/Zy+vKR5mXJlBZl09ETZFXloDarLK+E4uzCMceQ8rxSCrx5eF1edK+eVnuTOXV9KY5IPhVLcujoGelP5XQ6WD7JhKRZbi9ZafAjLs4u5MwV26nuPzxisjrQlmER+spzS6jraRzQ2Jj9xg6jnypMcugYuZ5scjyTFzDGEngmg9ft4qwt5cSSns8xGeMV8LidnLJqbLNYgCU5RaworCQcC1OeW0quJ5vu3Bj1rf2sriykpCh7yhrJBO4kgaoo34u/x0dBjgesmd3DglwvqyoL2Xeie9x6Dsb3ZCovzqGpffQof+7hixmzQKm3nL5oDw4crMybvYTNkyVdM9y9wI40nUtIE3XNvfzxkRoe3VUHed141tXhKmnG4Rh8xdxONxevewVv2fR6irMLxzmaIKSf1cVVXHvhf3Ck8zi/3XsPu1teBsDhiuFeWkcLddy063lufWQtr918Jq/duZbKMZJLChnnFuBXSqm/Y0wCW4Ho8Epa699PdCCttaWU+hrwA6VUF/AkJsF9GSbxbyIhcLnW+hl7t+uB3yulbgV+g/Hx+hJwDLh9Rj1LMUvzyynPKx0yES/LLeGsFfm4Xe4Za229HhfeCcJtD2fzSaUEQtERk92JFuaypzAhn4icbA+VZWbc6u6bXQf+VDKa6ed4VBUuo65n0Fzf4XBQkVdKq6+DstypJ7idLiXecrYuLSbXmz5fVwe2oJn0fI6lsXM6HKwsL6anN87JK8cXpEZjuFlbZSmTGk+cU8hUvHJpAZ7sKDnZbjpbZp7hYdPyKvadMH6MRvAdSZ67gP7o6BExYfJmx7OFy+lmbd4peHvyyHGlP29lugSrXwI3KKU2YwaoNkY6/1pa62+mqT3CNLEsiwNHO7nrkRqeqz6Ou7QRz5Z6nDlDVyNcDicXrj2Xt2x6/RBHYUGYi5xUspovXPAR6robuEc/zOPHniVmr9i6ituIFrdxT+dL/PmO5azN2cQbdpzGeVuXT3myKKSUR+3PFcCrx6hjARMKVgBa65uVUjnAxzBh1HcDr9VaH7GrfBHj1+Ww69+plHorcB1wFcY360Hg81rrsWcdc4TRJuKZjNTqcDgmnX9oNqkqXDZgslWSPWhKt7Q0j7qWPsKRGKeuK0t5O7yu9F17p9PJ9spN7G4+AMD6kjUUZxeyrKCCvDGEnFR4YDkcDgqzp+5vZ8GUkglPla2VG6npOEpRdiHrSpZhWVbaTcTzvDn4woEJTXvzs3LJyzH+kGMJFR6XeyBQxEQUZhdQmV1FzIpQ5Bl9LpfnGhSslnhKR2xP55VKKC+dDueUFhdmk3QJVjfan2fZf6NhASJYzVH8wQiPvVjPPc/tpyFci2tJC9nbuxj+25LnzeWSdefzuvUXUJIrOYKE+cWq4hV8eOdV/PO2K3iw9nHu1Y/SHzEDhsMTwV15nBMc56Z9/+CHTy3nzOXbePNZp7N+GquXwqxz4WwfUGv9beDbY2x7D/CeYWV3AXfNdjuE9LGqaDnZnixyPTlDBEuX08FZm4xJY6oWVLZVbqS28zjF2UVTMoWbDfKz8jh1qcKyLIptP7CEH9tcxVyvOord2XT4Zk8QHS40FWblc/ryU8fcng42lp9Mh7+L0pzx51Wri6voC/UTtywKc0Y+Q3neHE5bNr4Z7nAKPaP7BToGthcTtkJUVeQR6B7UwJUvGQzkUd9qhL1UJ+stSzI7rCjKzMJQugSrtWk6jzCLRGNxXjjUxH17d3Og9RDxglacy3oZ7VFdX7KGC9eey/lrzpqys7QgzDUKswt46+ZLuXzDa3ipeT8PHH6Sva37sWxFuzPHBznVPB+t5tlH7iE3VMWOZVt5w+k7WLdcNLSZQGv9WKbbIMx/nE4nlfmjmzw5nQ68KfAJSVCQlc/2ZZtTdvyJKJpn5vrmem2ioydAR8vkc0RNhlNK19Lqa2dV0YqJK6eBbHcWKwonziDhdroGnqGDPYnEuMlR8mZfi+NwOCjPqmTnSSto7w6S5XXhdDrIyzYiRmlRDmuWFRIMRzlpxfSCt0yWksJs1lUVEYnG8XX1TrxDCkiJYKWUigFXaa1/DaC1Pm6XFwL9WusROUCEuUF/MMgjB/bxRM1+jvUeIZ7bgcMVh0pGvI7luaWcvfI0XrXmbFYVz40fH0GYTdwuN2eu2MaZK7bRF+rnyeMvcJ9+kkb/YN4SZ1aQYFYNT/pqeOLRP+MNlaNKFBdtOJ2d69cPcSwWUotSqgg4B8hn6E+WGxMq/QKt9Tsz0TZBEFLDZBP1JijMyqc3ZDQonjHCt1fkl1GRn3qTz3SQHO3SM43gYQW5Xvr84TGjYyZwOBwDWqrhrF6WPqG9yk4FcbCncYKaqSFVGqsRT7lSqhTjTHwJ8HCKzitMgWA0xInuRnafqGV3fQ0n+k4QcHYNBp8oGHkjl+Ys5RVrd7Czajuri6skFLWwaCjIyud1p1zA6065gHZfJ/84uotHqp+nJVQP9jvjcMWI5DbzcrCZl3c/Bs9nscS1jA3l67hAbWXrinUjQzoLs4JS6mzgPowAlWB4ot92BEFIPymcKhQXZJGX48EXiLBxzcQWA6uKlnOwvYZ8b96IvGYLkXUlq9ndZCLfrluyasr7b1lXSlt3YMqh4Bcr6Y57PSuvllLqfcBngCqMQ/EntdYSzn0UYvEYHf4umvvbaPW1U9fVQm1bA439TfhiPUPviGvkDXJb2ZxUuI5XrN/K6cs3LZgVHEGYCWV5JbxlyyW8Zcsl9Ab7eKRmF4/X7KY+cJS4MzxY0ROii2M83XGMp596COIu8ihhef5yNlWuYceaU1izZIWYz84OX7U/Pwh4gB8AbwZygA9g/HvPy0zTBEEYi8I8L72+8JjajolwOBycriqIxOIjQsmPRnFOETurTstYcIN0k+vJ4YwV23AwtoZuPLweFytGSSuQvLAua+yDzLuEQkqpfwV+hAlt+zxwDXC/Umqb1npO5wqZLSzLIhyL4Av76Q/76An10R3opSvYQ3eghw5/N22+bjp8XXSHuwf8QkYw2osQyqfUXcnmynVcsnk7J1esWjQ/PoIwHQqzC7h8ywVcvuUC4lacXceq+fuhXRzurKbf0TYknxvOGD7aqPa3UX1kD3+248t5rDyKPSUsK1jK2pJlrK9YwcripZTkLhGha/KcAfxAa32LnXPqu5hos79VSv0BeAH4CiCmgIIwQ5IDeExkIgZQlJeF1+MiHImN8LPZsq6Mnv4QS2aQkNbpdJA1BWuAxTav8U5DoJoIp9PBprWltHX7WbV06tEcFyrzSrBSSjmALwM/0Vp/2S57ENCYcLgfzWDzxqQ31I8v7CdmxYjH48SsOLF4jJgVIxyLEIqGCEZDBKPhgf9DsTDBSIj+sI++kI++kJ/+kA9fJEAwFiA2w8RvVtyBFcjHESqkPLuCTcvWcsGGLWxaVZn2nAOCsFBwOpycuVZx5loFQCAc5tEDB3jm6H6O9R7H72jDkTUyt0jE4aMt6qOt6wR7u4DawW0uy0uOs4B8TwHFWUWU5BRTkltIWUEh5QVFlOQWUpidT743jyy3d9FNGJLIAmoAtNYRpVQtcBrwF611VCn1C0zodEEQZkiWx8XJK4vp7A2ydvnEAQmcTgdnbKzAH4xSmDc0BJbH7aSseHraKiGzlC/JmbamcaEyrwQrYD2wGvhLosAeQO8FXpeuRviDER54to62bj9YELcsLMtokizLGPMn/m+w9nHEenrAByOdWHEnVjAXK5SDFcrFFc2jLLeMdeXL2LpmNWp1KVUVBdPO9i0IwvjkeL28fvt2Xr99OwDhSIyXjzXx3FGNbj1OW6iZoKMHR7ZvqGYriZgjTL/VQX+4g+YwMEFGJIflwmm5ceLGhQcXblwOD26HSRrqcrhwOU2OD5fTNVCWyPvhxInT6cSJA4fD/DmHfTpwkOXKYmvZVs7ZuHZSK9Zp4ASwJum7BrYlffcDo4d7EwRhyiwvz2f5KCZiY+FxuyjKFx9TYWGTSsGqVCmV7CWX8CisGFY+gNa6boJjnmJ/1gwrPwKsU0q5tNYzU+VMgrsereF3Dx6eVF3vyTW4lsyOUGXFnRD1YMXcWFEPxDzmM+rBCmdjRbPId+dTnFNEWW4xlUVFrFxZwIqKfKoqCigtypZgE4KQQbweF6efXMXpJw8mZwxFYpxo7uVQYzOHW+pp7G2hM9SOL9ZLzOUHTwiHNzhpG3bLESPmiBEjRGTERvtvluKyPlLzAv94/k1c9287Z+eAM+PPwDVKqUPA74DHgK8opc7CCFn/Akw0xgiCIAjCtHFY1uxrUpRScUZPzO0YoxwArfW4SxlKqXcCvwaWaa2bk8rfC9wCFGmtJx24fteuXelXIwmCIAhD2LFjx4xXfOxQ638DdmIW8qLAfmAlZtxxAu/XWt8603OlAxmfBEEQMs9Ux6dUaay+nKLjDg+dO5wprcPOxmAuCIIgZB6tdQ9wrlLqLPt/bG3VhzCC1n1a679lso1TQcYnQRCE+UdKBKtEYIkU0GN/FgAtSeUFQExr3Z+i8wqCIAjzAK31c0n/t5K6hT5BEARBGMJ8C15RbX+exFA/q5OAyTk9CYIgCAsGpdRJwE6t9W+SykqAa4FXYIJW3I0JxR4e/SiCIAiCMHPmRCinKVCNifx0RaLAzldyGfBQpholCIIgpB+l1Ncwi2q/VEo57bIC4Bng45gogXnA14GH7PFCEARBEFLCvBKstNYW8DXgg0qpryqlLsVEgirDJIMUBEEQFgFKqbcBn8Gk33iN1jrhY/tFTGqOZ4E1WuuzMAEtTsPkOxQEQRCElJCSqICpRin1n5hEj2XAbuA/tdZPZ7ZVgiAIQrpQSj0EeLTWrxxW3gRUYISth5LKbwbO01pvQxAEQRBSwHzzsQJAa/1t4NuZbocgCIKQMbYB/5NcoJQ6DViKCXT0yLD6uzC5rARBEAQhJcwrU0BBEARBsMljMFJsgovsz4eTTAMTZGNyWwmCIAhCShDBShAEQZiP1AGnDCu7HJPn8N5R6p8PHE91owRBEITFiwhWgiAIwnzkz8C/K6U2AtjBjM4DfMAfkysqpS4E3gr8Nd2NFARBEBYP8zJ4hSAIgrC4UUoVYcKqrweagOWYxcL3a61vteu8Grga+CegDThVa92dmRYLgiAICx0RrGyUUu/DhO6twkQa/ORYkQaVUseA1WMc6kta6y/b9fYBW4Zt79Bal81Gm8djKv2x658LfAPjEN4G/AK4QWsdSapzPvAt4FSgAfgfrfXPUtaJwfOmoi8ZuTfT6Ms7MYlO1wPHgO9qrX88rM58uS+T6UvG3pmkNrwJ+JXWumCCeluA72FCeXcCNwHfsNNCJOpk5N4knX82+5LxezMcO2fVNcA5QD9wm9b6/qTtNwCfBf4GfEhrfSIjDU0zU3035yJKKRcm+u/7gFUYM86bgZu01pZSygF8AfgAJkLwk8A1WutDScfIwqRoeSfGJ+9+4KNa68akOksw6VreiBHM/4i5Xr0p7+QUsPuyG3hWa/0eu2zBXwOl1EXADcBWoBW4Dbheax1bJP13Af8JvB+oBPYDn9daP2xvX7DXYLTxK539VUqtBG4EXg0EMXPJ6yZKNC+mgIBS6l+BHwF3YMxFuoH7lVJrx9jlzZiBPPnvTszA/lv7mF5gA/C5YfVem7KO2Ey1P0qpdcADdvvfinnYPktSxC3b3OY+4CjwFuAe4KdKqStT15OU9SUj92YafXkX8GvMD+nlmMnuN5VSn0+qM1/uy2T6krF3JqkN52L65JigXgXwd4w/z9uAnwBfxQyAiToZuTdJ55/NvmT83oyG1rpPa32D1vqNWut3JgtVNt8Clmit37CIhKqpjmdzlS9iJtR3AG8Cfg/8L/Bpe/t/Addh7vE7gCJMEuiipGP8CBMJ8nMYzeU24K/2ZDXBH4ELgA9ikkq/CfNbNdf4b8w7mMyCvgZKqfMwiyIHgcuAH2DG8+vsKgu6/zafxrwHPwOuAGqB++wIqLBAr8E441da+msLZw9glChXAV8BPgJ8Z6K2L3qNlS39HgX+prX+kF3mATRwj9b6o5M4xhnA0xgTlJ/bZduBl4CNyZJ0qplOf5RSnwW+BJRprX122Q3AfwBF9urgL4AzgC2JVWyl1C+BbVrrrfOsL2m/N9Psyz6gD5N7J3HNP4ARFldqrTvm0X2ZTF8y8s7YbcnCrI5/BeOj49Va549T/8uYH9lVWmu/XfYV4MNApdY6kol7k8K+ZOzeCJNnNsazuYA9AeoCvqe1/mJS+U0Ys851QCPw/7TWX7e3LcFotb6ktf6Ovch2GHiX1vp3dp2TMdfiSq31Xcr43j0MnK21ftaucxFmoWGH1vrF9PR4fOxJ9ONAALhXa/0eW1u7oK+BUupxoEdr/Yaksq8BZ2M0DQu6/3ZbDgLPa63/xf7uwrzjfwE+zwK7BuONX+l85pVSV2MWGddqrevtOv+OEdqqtNYtY/VBNFbGLGk15iEFwDYZuxd43SSPcSPwHEZFnWAr5kewelZaOXmm058sIIJpb4IOIN/eBnAxZmBOlsT/BJyqlFo+O00fQar6kol7M52+nAI8MOyaPwHkAK+yv8+X+zKZvmTqnQF4PWaQ+jTw/UnUvxh4KCGI2PwJKAHOTKqT7nsDqelLJu+NMHlmYzybCxQCtwN3DSvXQDnGNCefof3sAh5jsJ+vtj/vSapTjdGaJ+pcDLQmJlc2jwC9zJHrpZRyY7QV38SYEyc4mwV8DZRS5ZhgND9JLtdaf05rfQELvP9JZGHaAoDWOoZJM1HCwrwG441f6ezvxcCLCaHK5k+Y/L8XMQ4iWA2G660ZVn4EWDdMdTgCpdTlGJOYTw2bQG3F+Cr8TinVq5TqUUrdakvcqWQ6/fkVEAP+RylVopQ6E6Ma/T+tdVAplYdxDB/tmMnnnG1mvS92nUzcm+n05QTGtyCZhDnPmnl2X8bti/2ZqXcG4HnMytSNGJO4iTiFca57Bu8NzHJf7M9M3hth8sxoPJsraK27tNb/obV+adimNwL1GN8xMGZRyRxh8BqcAjQnLBfGqTPkWmmT/+wYqX1Hp8JnAS/DkmEz2L6Feg1OxZiB+ZRSdyulgkqpVqXUl5RSThZ+/xPcBFyllLpIKVWklPoYsBnjdrIQr8F441c6+ztanQ6M8DXuNXGPt3GRUGh/9g0r78MInnkkrRaMwieAJ/RIx+CtGEfDPRin8O3A9ZjJ5LjS7gyZcn+01rVKqU9hVoY+Yxe/iLFNneiYydtnm1T0BTJzb6bznN0BXKuUehJjD3wyZnC17Prz5r4wcV8gc+8MWuuGiWsNoZDxr3um7k0q+gIZvDfClJjpeDZnUUq9F7OK/FFMP0N6pBN5H4PXYLTnOlFn5STqpOwdnSzK+GleC1yktQ4rpZI3L/RrUG5/3o7xffkOxrrhOoz23MnC7n+CH2K0MH9PKrtOa/0XZXyUF9Q1mGD8SuczP+1rIoLVoGPcWCu78bF2VOZX7lUYm+/hfBbI0lo/Y39/XCnVCvxWKXW+1vrx6TZ4AqbcH3vAugUjjPwOs9J+PXCvUuri6Rxzlpj1vmitQ2Tm3kznGt6AmczeAtyK0Rh8FPgl4J/mMWeDVPQFMvfOTAcH4/c/U/dmOkzUF5hf92YxM5+eu0mjlHo3xrfhD5gABp9n4j5O5rl2MPY1yei1srUytwI/HWXhFibfv/l6DTz25/1a60TAkkeUUmUY4eprLOz+J3wm7wc2YXxeD2IWF/5bKdXNwn8GhpPO/k7mOKMigpWxVQUoAJKd0QqAmNa6f5x9L8dEn7tn+IZRTBjARAgDE6EkVROR6fTnc8BftdYfSBQopV7AvMTvxkRjShwjmcT3HlJDKvryswzdmyn3xV6V+aBS6tOYlZZajHDiwAgmvUnHSGbO3ZdJ9CWT78x06GH8656pezMdJurLfLs3i5mZjGdzEqXUJzERwP4CvFubAEQ9QJZSyqOT0mhg+pm4BqM916PVWTZGHT0b7Z8B12DMpy+z/awSOOzvC/0aJJ7V+4aVP4gJttPNwu4/GB+zVwBv01rfaZc9at//b2DCji/0a5BMOp/5yRxnVMTHatAZ+6Rh5SdhIouMx+sw0ZeCyYVKKbdS6j1qMBxmghz7s31aLZ0c0+nPSkyizQG0ifzVAWyyB+OmMY4JqXvxZr0vGbw3U+6LUurVSqkLtAkpfcDWtiWiye2eT/dlor7xrc0KAAAgAElEQVRk+J2ZDtWMc90zeG+mw7h9mYf3ZjEzk/FszqFMRNdvYzTbVyaZAFVjFmWGh5A/icF3qxqoVErlTFBnyLWyNUVryPw7+maML1kXJiBTBLOI8S9J3xfyNUj4t3iHlSc0WQu9/zBouvbMsPIngFyMRmWhX4Nk0vnej1anFGMGOO41EcHKXLwTmPwAwEB42suAh8bayVbRnsHIBx6tdRT4MibsdzJvxfwYpDJR43T6cxg4N7lAKbUeKMWE9cTe943DnJ+vAF7WWrfOTtNHMOt9yeC9mU5f3oGJOJmo78CYA9QBe+3i+XJfxu1Lht+Z6fAQcLEdpCLBFRgBfndSnXTfm+kwbl/m4b1ZzExrPJuL2E76n8f49L3Hfg4TPIVJ2JnczyUY0/xEPx8CXJiAF4k6J2Mc/5PrLFNKnZV07Asxk6dMX68PYKJyJv8dxljInIkJXrCQr8EBTBTE4a4Wl2FCbi/0/sPgYsh5w8p3AlFM1MyFfg2SSed7/xBwhlKqKqnOFZgx7x/jNXLRmwLaZgVfA36glOrCZHH+D0xG5+/CQNLZ8iT/AjAhbcdTk34V+LFS6nvA3Zgfwv8CbtRaH09JZ5h2f64Hfq+UuhX4DcZE60uYCCm323W+hYnWcqdS6hbgEuCfGd2/bK73Je33Zpp9uQX4N6XU/2KbwWASsr7TDrkK8+e+TKYvGXlnJsMo/bkZY6rzV6XUNzEryZ8HPpe0qp72ezMZptmXOXtvhEEm827OB5RSy4CvA/swE+idamjghhcwoZi/opSKYyag12JMcG+FgUBGdwK3KJM8tAsTMGcvJmwymFw2zwJ32WbKHsx7e6/WeldKOzkBWusRcwulVADo0Fq/YH9fsNdAax1XSn0B+IVS6ocY/7qLgX8FPqS17l3I/QfQWu9SSt0L3KyUKsG4NFyA8Xn9nta6fqFfg2S01v1p7O9vMEnK71NKfRHjr/8N4Cda6+bx2ikaK0BrfTMmZv5VmJe3GHit1joRcviLjFyVrbA/u8c45k8wkeguxExE3o9JePaZ0erPJlPtj227+1bgdOCvmIfwH8BOrXWfXWcPZgXgJOD/gDcAV2ut/zAP+5KRezONvjyPmYRfjFml3AG8XdtJ7+w68+W+TKYvGXtnJsHw/jRh+uLG9P/9wLVa628l1cnIvZkE0+nLXL43QhKTeDfnA6/F5O85FfOsDv8rxviXfBf4FCZqXA9wsdY62f/hakwQo69jJl57gEsTiznapEh5E0YA/Qkm8tzdwLtS271ZY0FfA6317XY7XoHJxXYl8EGt9Y/tKgu6/zb/BPwcI0D8FWMi+lHMOw6L4xokk5b+apPX8WJMeodfYQKm3IyJBD4uDsuaTJoTQRAEQRAEQRAEYSxEYyUIgiAIgiAIgjBDRLASBEEQBEEQBEGYISJYCYIgCIIgCIIgzBARrARBEARBEARBEGaICFaCIAiCIAiCIAgzRAQrQRAEQRAEQRCEGSKClSAIgiAIgiAIwgwRwUoQBEEQBEEQBGGGiGAlCIIgCIIgCIIwQ0SwEgRBEARBEARBmCEiWAmCIAiCIAiCIMwQEawEQRAEQRAEQRBmiAhWgiAIgiAIgiAIM0QEK0HIIEqpNUopSyl1a6bbIgiCIAgJZHwShKnjznQDBGGR0wZcBdRkuiGCIAiCkISMT4IwRRyWZWW6DYIgCIIgCIIgCPMaMQUUBEEQBEEQBEGYIWIKKAgpRCmVB9wAvB5YBfQCTwDXa613K6XWAEeBn2qt35u03+uBLwDbgSDwR+Ae4G7gaq31bUn7/ifgAD4EVAG1wH8BfwauBf4dKAH2AZ/UWj+ddJ5s4JPAlcApgAdosPf9ota6f9YviiAIgpBxZHwShNlHBCtBSC2/B14NfB/QmIHlo8DjSqmNo+2glHoXcAfGrv0rmPf0A5jBZTQ+DsSAmwAL+BzwW+DvwDLg20AB8Hngz0qp9VrrXnvfP2AG1VuAHwJ59nk+DiwF3jXNfguCIAhzGxmfBGGWEcFKEFKEUqocuBS4WWv9maTyl4CvAadhVumS98kGbgTqgDMSA4xS6ifA/jFOVQqcrLVutOv6gZuBLYDSWvuTjn0tcCbwkFJqG3AZ8M1h7fsBZlXxDTO6AIIgCMKcRMYnQUgN4mMlCKmjx/57m1Lq/UqpCgCt9V+01pu01nePss9FmIHoxqRVO7TW7ZgBbTSeSAxaNgftz3sTg5ZNtf25wj7mHqAI+NKw41UCnUD+BP0TBEEQ5icyPglCChCNlSCkCK11WCl1NfBz4MfAj5RSe4C/AbdprQ+PspuyPw+Nsu3AGKdqHvY9an+2DCuP2Z/JCyoh4N1KqYuB9cA6jL27IAiCsECR8UkQUoNorAQhhWit/w9jt/52zABWjLElP6CUGs0m3Wt/hkbZ5h+lDCAyRvm4uRSUUiXAHoz9eiXwJPBZ4FTgkfH2FYSFhlJqk1LqtUqpUqVUrlIqJ9NtEoRUIuOTIMw+orEShBShlCrADALHtNa/xzgKo5Q6H+O4+zlGOvwmVgk3AA8N27Zhlpv4YcwK5L9rrX+WvEEptWyWzyUIcxKl1KUYM6a1dtElQBbwa6XUtVrrmzPWOEFIETI+CUJqEI2VIKSOjZhVtuuGle/CrPhFR+wBDwDdwAeUUrmJQqVUPvDBWW5fmf053EH5cuxBUikliy/CgkUp9WpM6OYWjOO8w95Uh4l69n2l1Dsy1DxBSCUyPglCCpCHUhBShNb6OaXU34APKaWKgH8A2cA/Yxxvvz3KPv1KqY8DtwEvKKV+jpnsvRdjsgETmFBMgXuAjwG/UUrdDPQDr8CEsA3abS0COmbpfIIw17geM5F8JcYM6gYArfV+pdQ5GJOj/8SEhxaEBYOMT4KQGkRjJQip5W2YXB+nA9/BTOT6gDdore8cbQet9S8wJhg+u/6ngQcxSRVhdPv2KaO1/jtmkOq323gDxvTiw5gBDeA1s3EuQZijnAb8WmsdG75Bax0FfsXsmzgJwlxBxidBmGUcljVbiwuCIMwUpVQWkKe17hxl22cx+UUu1Fo/mu62CcJCQynVAXxda/0NpVQp0AZcrLV+2N7+38A1Wuuy8Y4jCIsBGZ8EYWJEYyUIc4syoEMpdUtyoVLKA7wDsxr4UiYaJggLkAeBDyqllgzfoJQ6GbgGeDjtrRKEuYmMT4IwAaKxEoQ5hm33/lrgF8BTQB7wTuAs4NNa629lsHmCsGBQSq0BngXiGAHqHcCvMYuOb8b4cpw9Rk4fQVh0yPgkCOMz7wQrpZQLY1/7PmAVcBy4GbhJaz2/OiMIo6CUygM+gRms1gBhTD6PG7XWd2WwaYKw4FBKVQH/A7wRKLSLA8D9wOdEqBKEQWR8EoTxmY+C1Zcw+RW+AjwDnI8JF/oFrfU3Mtg0QRAEYZ6ilHJgTJ1cQNtoAS2mcKyLMM72W4FWTBS162dyTEEQBGHuM68EK1tb1QV8T2v9xaTym4B/0lpXTOV4u3btmj+dFwRBWKDs2LHDMXGt+YFS6jxMmPZfA7cDOzALgf+jtf7yZI8j45MgCELmmer4NN/yWBViBqrh6mYNlCul8rTWvqkccMeOHbPVNkEQBGGK7Nq1K2PnVkoFmETeHa117kR1kvga8IDW+j3294ftiIMXApMWrGD649PBgwcB2Lhx47T2Xwgs9msg/V/c/Qe5BrPR/+mMT/NKsNJadwH/McqmNwL1UxWqBGEmxOIx/JEAoWiEvv4YkbCDWNSB2+0gL9tDaXEOWR5XppspCMLY/I6RgpULqADOAxqAW4bvNBZKqXJ7vyuSy7XWn5tZMwVBmE36Q2a6mJ+Vl+GWCAuNtAhWSqksrfWsJI0b5djvBS4GPpqK4wsCQCga5mBbNXuaD1LTcYy67mYCUZ/JOZ+EFc4iHszF8hcS6yuhzLWCk1dUcMaGpZy5aSlF+VmZ6YAgCCNI0iqNQCm1HHgCExlwspyK+VXwKaXuBi4BejEBlq7XWsen0r7EiutUCQQCM9p/IbDYr8Fi679lWYSjFlkek0VovP77o0Fq+44DsL5gNTnu7PQ1NI0stmdgOJnqf7o0Vq1KqT8BvwUetDPazxil1LuBHwF/AH4wG8cUhATReIznG3bz8JEn2d9aTTQ+7LEdxerW4Q3h8oagsAt35XF647t5vqecp+9fgXVnORtWlfGanat51ekr8LhFmyUIcxWtdaNS6mZMBLSbJrlbuf15O8bH6jvAqzABlgLA12e7nYIgwJGmAL2BKMtLsli6ZPwFzAZ/8+D/gRbWF6xOdfOERUS6BKufAVcCVwGdSqm7MCYYD083RLpS6pPAt4C/AO+WUOvCbNEb6ue+6kd4qPZJuoI9o9axoh6sUA5EPWR5PXg9gDtCiD6ihAfqOZwWriWtuJa0YkW8VLeu5OAfWrj9r/lc9oq1XHruWgpyvWnqmSAIUyQGLJ9CfY/9eb/W+tP2/48opcqA65RS35pKZMDp+gYsdt8KkGuwmPofi8VpDTRSYKf53rixatz+B5ti+MJGm1GQlcfGyoV5jRbTMzAaC9rHSmv9CeATSqlXAG8D3gK8F6PJ+iPwW63145M9nlLqBuDzmFXBf58tDZiwuAnHItxX/Qh3HbgPfyQwZJsVziLWU0a8p5QilnOWWs3ZO5ax+aRSsr2Dr5FlWXQFeqjuPMre5oM8W7+b3lAfAA5PGM+KWtxLj9PXvIY7HujnT4/W8s7XKC49by1ulzOt/RWExY5SaqxIslnANuBTwL4pHLLf/rxvWPmDwEcweX9qp3A8QRAmQFbVJ0cwHOVoQy8FeR6qKgoy3ZwFS1qDV2itnwCeUEp9DOPg+0bgdcAHlVKNGFPB27XWYw5k9r6fB74HfEI0VcJs8ELDHn7+0p20+ToGyiwL4t3lRFtXQW8ZO7cs57LXrmXr+jIcjtGjbzocDkpyi9mZexo7q07j6tPfzu6ml3nk6NO80LgXy7JwuKN4qmpwL60jULeBW/4c5q9PHeO9l2/hjI1L09VlQRCgmbHnZQ4gBPzzFI5XY38OV0MnNFkyXgmCkBEOHu2k1xemtQuKC7LJz/FMvJMwZTIZFdBjn9+LGcA8mAHsk0qpBzCaqMbkHZRSyzA26vswQthOpVRylRdEeyVMhWAkyG0v3cnDR58aUh5tX060YT2uaD6XnrOaN1+wnoolU4m4bHA7XZyxYhtnrNhGY18Lf9z/V56oe94IWJ4w3nV7iZXV03h8E1++tZ+Lz1zF+67YQm62/OAJQhq4ntGFnRhG6PqT1rp9Csc7gIkk+E/AHUnllwGNwLHpNXPxEItbhCMxcrLmVdBiQUgL7f5O4vE45XmlYy7wjkWvb9BNwReIiGCVItL2y6WUcgKvxgw4V2Ay3PdiclJdAzxsV70c+AVGcHrlsMO8FmOicSrw9CinKQemMggKi5jqjqPc+MzPaelvGyiL9S4hcmIDDn8RF5+5indcoqgombpANRrLC5ZyzdlX89ZNr+f23X/kxaaXAXAVdeLc8hSRE4q/P2+xp6aNj739NLadXD7BEQVBmAla6y/N8vHiSqkvAL9QSv0QE1jpYuBfgQ9NNSrgYsOyLHYdaiEQjKJWL6GyNPWhsKOxKA19zeR5cinLK0n5+QRhunQHeznUNmhJXJFflsHWCGORrnDrt2IEphJMZKS7MYLT37TW4WHV/08p9S6MEDUErfVtwG0pbaywKHjs6DP86IU7iMWNH7kVcxKp20CsbSUbVpfw4Su3sXZ5UUrOvbywks+e/2Gea9jNz1/8PZ2BbhzOON7VB4kVtdF29FSu+9FTvOMSxTteo3A5p7YqJQjC6IzjUzUuWuvWKdS9XSkVAb4AXA2cAD6otf7JdM69mOjuDxEIGqMTfbwrLYLVka46Wm0T8NO9OeR6clJ+znTgD8bwhWKcHIuL/+4CobF3MJrhse56EazmKOnSWF0F3A/8Bviz1to/Qf17gXtS3iph0WFZFr97+W7uOvC3gbK4r5Bw7VbynUu4+m2buejMVThTLMw4HA52Vp3G1qUb+eWeu/h7rYnd4ipuJ3vLk4Rrt/LbB+HwiS4+9e4dEjlQEGaH8XyqxmNKuRG01r/BjHfCFLAy4IHWmuRX2xvsWxCCVSQaRzeYBLhHGno4ZdWSNJ03RkunnyUF2eQtYDOzA0c76POF2bi2lMI8GZuFoaRLsFqqte5WSmVrrQeSLSql1gItwwUtWzMlCLNKJBbhpudu56m6FwbKoq1VRI5vYoeq5KNvP42SwvQmCszxZPP+M97F6cs288Pn76Av1G98r9QLROtP4cVDFh//7mNcd/VZKdOgCcIiYiyfKkFYMPT5Bw2Bmtp9aROsDh3rorM3CPTwytNWDPgA9fSHaO8OsKwsb977D3f1BmnrMlGD91S3cf72FWk792L54bIsa8r+Y3OJdIVb71ZKfRX4qFJqh9b6sL3peuBKpdSXtNaSOFFIGZFYhG8/dQsvNg4GnIzUnYKzYz0fessWXn/Omoy+yGes2Ma3S9bw/WdvY1/LIRwO8Kw8jDOvh9Yjp/LZHzzB5/71TE6fniWTIAjMvk/VQiQWtzh0rJNYPM7GNaV43Jk3I7MsC1/ET54nd15PuGaD/pCPdn8XS/PLyPGMvhBoZUL1B7ZQZYjG4njcRtG7+7DxY27rDnD2lmUZadtsEYoMpqGLxxeLqJM+9tW00x8Is2ltKUX54yd6nquky8fq05gQ6b8EupM2/S8QBG5QSnVqrW9JR3uExUU4FuHbT/6El+xgEVbcSbh2K0ud67j2Y2exellhhltoKM4p4tpXXsNvX/4Lfzp4PwCukhaysn0ED+/g+luf4SNXbuOSnZIlXhBmE6VUDpAHJEsRbqAAuEBr/eOMNCwD1Lf00d5tVuSPNHSjVmc+oEN1x1FafR2U55WgytZlujkZZXfzAQBafG3srDptUvscOtbJ2hVFZHmmZNE664TCk86NnTYyJIOmhEAoSluXn7LinFnTDEai8bQtrnT0BAaE873V7Zx/Wvq0gbNJukwB3wv8VGv9vuRCrfUu4H1KKQ/wUUAEK2FWCccifOuJH7O7eT9gC1WHT2f7sk18+p93kD/HfJecTifv2noF60vWcNNzvyAQCeLM7Sdr89OEDp/Ojb/fTXt3gHe8Ri36lVtBmClKqeWYQErnTVB10QhWPb7QwP9dfaFxas4OlmXhjwTG9W1K+EG1+TpTK1jNo9/USGzymWVaOv2EozFOXTd2DsZUMZ72LBa3aGzrJ8vrmlY6k8FzTHvXOUVPsJfd9TWEfV62r1pH+ZKp+fvtqW4jFI5R39rPuVuXz7g9J1r6ONLQw9KSXDasmd0FlnjcwuFgyPM4RBs4iZsat0yQVacj81r1ZNLVmpXAC+NsfxpY3MtQwqwTj8e58emfjRCqLj/9bP7rvWfPOaEqmbOqtvPViz9DRV4pAA5PmKyNz+EqaeLXD2h+dvf+jJl7CMIC4pvAuRjh6peYnIpfwyzydWAsKiYSuhYs6ZiCV3cc5aWm/dR0HkvD2RYW9T1NBCLBCevFrTgvNe3n+YY9BCJBfIEIJ1r6hkxkU8XwYSrZfC4xcT94tHOIX9hCIhyLUNNxjKa+iQOL7mvRHG5o41h3A3trmyeobdHVGyQQGhSwExrBSHTirA6TebePNPQARjBPEAhF2VvTRm1991i7TUhbbw8P76nm+YMtRGPTy0ARioZ5vmEPLzTsJRydW89OugSrY8CF42w/D5M8URBmBcuy+PlLd/Jcw27zPe4kfHgHV19wAf/2xs3zIoR5VeEybrj4swMrtA5nHO/6PbiX1/Knx2r4wZ17iImNtyDMhIuB27TW7wY+hvEPv19r/UFgOybX4lsz2L45TWLFeCYktFEt/alNQdnVG6S1y7+gFqSOddezt+XghPW6wu2E4yHCsQi6/QgvHGzhSEMP+490TLjvTBl+tZs7fQP/H2/qHfi/tXOiYNHzk+qOozT3t1HbeZz+sG/iHWwmere6+sLsrWnnhRkIJ+Mx1jEPHO2gqauLmqZWuqeh0Q5Ggtx/4AWO9h6lta9zyDMwlegcNZ3HiMSihGMRjnSdmHI7Ukm6BKufAm9TSn3LjgQIgFJqlVLq/wHvtusIwqzwl0MPcn/No4BZMYvWbufjb7iEK141vxSjhdkFfPGCj/GKVWcOlHmqqvGs2c8Dzx7ju79+UYQrQZg+xcAzAFrrHkzOqbPs740YzdUbM9a6OUQ8brGnuo3nDjTjD0boCvTwXP1uDrZVT/oYvcE+XmjYQ03HMcD4VPT6QsxGvLOaE928eKiV/kBkxLY+v5mEHjzaOWT1fSEwGZPASHzwmvgjg/3v86V/pT8cGZywx6047aEWOkNtxOIWbV2BSWlbUollWTR3+OjoCczK8boCPQP/94cmL1glt6fd10mnf6iGqLGtHzDv5Ww/0/5ghGdebhr4HowF2NdyiOa+Vtr7eqnzH6XOf5SDrUd4vmEPB1qrqe44zqETbdS39o177BO9TYRtTWlz8MS0taahJC1VODa3NFbp8rH6DrAB+CTwCaVU4s1xYjSSt2HMLwRhxjxx/AV+tff/Br7H67bw+be8kbM2VWawVdPH6/JwzdlXs7xwKb9/2aR3c1fU43BHeGx3HJfLwcfeflrKc28JwgKkAxOgIoEGtiR9Pw5UpbVFc5TmDt/ACvWBo50Ec+sA6PB30x/ykZ81mMw3Frdw2v4T4UiMeNwiO8vN3pZD5lj9beQ6iqg+5qOhzwcWFM4gAlhPf4gGe6K5r6aNc04d6l9S39I/8H/1ie4pJR6ORGMD0e2mQzQW5Vh3PVluLyuLZu73MnNmZ5xo93fS4e+iqnAZed6x/aPi8bEFpa5wB51ho6k83OSloL2Ionwv20+ZfvTbmBXjSOcJajvaKHQXsToYmVIgh6YOH9V1Rog5TVXMep6qQChKbX03RflZrFxaMG7dw3VduLNDNAaMRsblHF0X4htlMWEmHDreRTQapz5wjEg8TNSKkhdcQk+wjxP+roF6L9eb34CVFfkEwjG6eyKclK/oD0TYMAeC3mSKdIVbtzBBKm4EXg+swiRcPAH8VWu9Ox3tEBY+tR11fP/p2wbGjljTOj5z6VvmrVCVwOFwcOXmyyjLLeFHz99B3IrjKmnB697Fwy9auF1OPnLlNhGuBGFqPAq8Xyn1B631CeBF4CqlVKHWuhd4FdCZyQamCl/YT447G+cYkzWA7nAnjX1OluVX4E/y5fAFIriS5tJRa3DV2R+MsPtwG06ng1UrvOyraSfHncdpw1JFHG/pITEFaekKzEiwSl71TtaIJEiO1xCPWxw63sm6FcUjop0Fw1GisThulylvbO+nuq6bkqJsTl1XNmE7OvxdhGMRluaXDTjUN/a10Nxvwo3neLIpy83EhNNoBOtb+1i1dOZRcONWnENttViWhW5sYnvF1jGFhD3VY5t4docHTRG7I510hdtx+J2sqsoix+0lxzsYvMGyLHp9YQpyveOOc+2hFo4f6KatvYNyl4V1oIWdWyrJ9g5Od6OxOMFwdEhZgoRQBeb+F+ZN7n5NNvfSvtp2AsEoHT1BSouyB4S+4X5C/lg/Te1ZHOnXnLza3LPYGEJqU7uPpvbxtWEnWoZqkg4e68QXjIyaHzMUjtEb6SYQG6kJs0bRLp9o7cfpgITxTEuHn+Vl+ZMSStu6AkRXxQnGAhzsOERn0KIie+yQ/P3+8AhBORaPs/9IBw4HqNUlGXf1SJfGCgCt9T5g34QVBWEa9Ab7+PJD38dymEE21rGMT1z4TnbO87wZyVyw9hzyvXl89+lbicQiuAo7ydr4HA/siuFyOfjQW7ZKtEBBmDxfwpgC1iqllgE3Y3ytDimlmjB+Vv+buebNDh09Afr8EVaU5+Fxu6jrbqCux7g1n7fqjFF/M/ojvbRFG8nr9OPAgYNxJklJfkv6eBfhSIxgzM++vccAqMpZw8GjnZA/fjtj8fSE427p8IPFkEhn/f4we5vaacy12Lm5EpfLOTDJ7uwJEorEcLucuJwOTnS0k5ftoSRvcFLaH/ZxsK1moB9VRWbcSVxngJ5g34wEq/H8w+LxOHErjts19rSuzx/BF4yMdycnRUIL1dUXpKUrwNFoL95RQrlHY/FxtSnJk/TkSfwfn38GB/Ducy4gx2sEbl3XRUuHCSW++aTSIcfxR/w0BxrIdxfQExnUqAQtY853rKl3QIMSi1scruvGHwmwvCyP/JJB7WVzx9jCSTQWH/P619Z309zhZ11V0bjaUAvo8wdwO41gEAhFB4SE4cFbWkPNFHtLiVmTj/44FqFIbCDYRPK7Xtfcx+rKwlEF1Yg1VNCzrAmCZjoYYtH74qEWztxUSV7OUCFotGtYU99Nt/MY/kiA7oifQk8x2a5BoTqhNT7S0MOJlj6K87OG/Ja0dPrJCQewLAuv18H6FSW0dPrp7ItQUpD+hNRpE6yUUkUYW/WlGG3VcCyt9TfT1R5hYRGLx7j2b98naNl2x75CPnzWVbxi2/zMgzAeZ6zYynWvuoavP/5D/JEAzrxesjY9y30vxPC4nLz38i0iXAnCJNBaH1ZKbQau0lp3AB1KqUuB/wZKMFED/zuTbZwOvmCMPn+Uk2xNzsu1RjPgD0bYtLZ0YLLvC0S4d/+TnL9uG0U5QzUO3ZHOAc3/8e56Slkz5vmSp0o1XUfoCfUOmTS3hZopyh56/EZfA97Y0NXyhr5GYPIhphNaAscE5m2+4NDJfcyKcaytfYhgdaK1n6XZhUSicZo6fFRVDG1vdV0XHT1BYs4AtT1HcLucvPWMcyjMNjO81qTgG8e668lzLhm4MOFojLYuP65oPuumKVdFY3F6+kPELQvnsN/3aDzGi437iMajbKlQjDe1i0TjMxasEnT1DgYvGM3PZzQ5JNHyPn94VO3HwL7ASydqOHfdZnP8DnP8RI61ZPa3HqY32k1vdPRIdZEkLWZHd4CYHZihsSWQ2ZgAACAASURBVN3HipISu60WjxzaQygWZHnOKrJcg8mXw5EYzx8wQSISlz45uER9q5l36ONdVJbmEYlFaOxroSBr6EpCbedxjvg6KfVWUJpVPjBOd/QE2FV7guL8kXcm2zm1kOuj0ePvp7rf5D87Ke+UAcEOZsO70eCwJatgLEBnuI1A1I+jJsyrTh3Pr930v6XDj6s0RiBshMhIPDIgWDV3+Dhc10VxQdbA89bdHyIra3ARprW3h1VZlRz311BTEyEU20x7u0VDa4BMKK/SlSD4AuAezC/mWN20MIOYIEyZrz14Oy1hY4dsRbxcufadXHTG2gn2mr9sLD+ZL7/6k3z1se/THezFme0na9Oz3P1CjCyvi3+5dFOmmygIcx6lVInWugn4RqJMa/0oxkRwXmJZFrq+H5/VS+zAYbauHEwo3tLpo6TMTEjCkRh1tnnQI/GXuGLrKwf27wi14o/5BkzlovEYukeTZ60YN2eMPxKgL9I7YsIcio8MCR6Oh+gMNgCDK+FdwR6c5NASbCQSD3O4PpulxSNNzKLxGHubDxK34mxdusGcIxakI9xGvrsQyzILasFwjL01bfT7BwUry7I47qshakVp7B3dLG60gEAdPaYPdb1mnInG4uxrPMJ5J221awxObfzBCM8eqiPHlYsvO0R7t9F41Yf7eKynHgC1esmUfL32H+mgqzdIc6yfnGw3OVnuAW1Hc38r4Zjp45GuE6zMHTr2JffGsiz6Ij0UeEaagE2aYYJdd7iTYiZnGRKOhYnFY+zSzUw0rW/r9nO4rmvAzHAsc7vk4BxDmml/JpLOMsoZa+u72VIRpzvUTX/UvA8NgeOclK8GKh9r6h2IkmdZEI6HqfPVAnBOZOmI81Z3HKMzMHY48o5wqxGs7O8v13YQCsdoHiachmMhAvEAyYsNlmUNCbE+Gfa2Hhj4vz3UQmXOoNvoc/ubqKoomNDfy2Jy3nl1/iMD/9d21/KqSWZS6vOF6ek3WrLWYCMFHvNu6uNGA5ksxIMx2VxVlYPL6cDpcNAUPEE4bvZ/6ujLnFJgBPLmrvQHtkiXxurrQD/wb8BuIPVZB4VFwx93Pc6e7ucAsCwHZxdcyjsu3J7hVqWe1cVV/L+LPs1XHruRlv42HN4QWRuf4w/PxCnOz+JNr5xfERAFIQM0K6XuB34D/FlrPfWwXXOMaMzCb/XTHe/gaLdFMBgfmER3hFqp6TSzxZ6kiHBtXQGe2ttIyNNKU28HvvDgxC0YjuFxO4nEw/RGuin2lhCJR4aYnVhY+IMROvv9Y5oLBcIhxvKiSmg2HBgTxIQ512O1u8hx5bK6KmtgQh2NRanracAfMZqLms5jlHmqqPMfwcKiP9rLs/UhWntbCHaWsHTp0OlGIOYnaptXJcI0B8NDJ6qTjshu12vu8FHf0Y3Dayb+je0+ItE+TinYTEPb6I/UwWMd6ONdrFleyOpKM4kMxyIc764nz5PD8sKhfsHdfSEsLPoCEfps87pTVi3B5XQQjprv8bhFTVMr8dwyIlYE1xiBn5uC9TMTrIBeX4iwHcGvNdREcSgbGB7EYuiF7I/28mjtfmp682no7Z9QW+IPRmlq99HTH6I12EhvpIeK7OUMjycTi018w555uYmNa0pGmKL1BgIcqGumtHTwWkWHmd8Nj1TYGmwkjil77NB+shnqPzieUDUWDhwjFiQaAsdH1Gtq99HjC+N2TH763tqVlIdqmN9UOBLnSEPPEMFqNHO9cCRG1ijmnuNhYdHh7yISi1CR5Hc4GvVtgwFmYsSIxs09aA024Y/5qMxeTnaSY2ccixPNfaysNO1OCMVDzm9Z42pFU0W6BKutwLVa69+n6XzCIuFQQwO/03cOGJeusc7ik296TWYblUYq8sv4ykWf4obHvs+xbhMpMEs9z08filOUn8WrTpeAZoIwDt8GrgTuAAJKqXswQtZftdZzK4bvFOiKtw383xSsJ99diMPhoCvSQSWj26L1BPuo72ohL3twWhCJxjna2IPb5TCO6HaQiuF+H/uaD9PQGGaJp5zoGJNcf8w/pmAFJs9UZ1cUGDpBCsT8xOJe3C4jWO1rPTRkuy8SwOoPDJlAReMxgrEQnZEuljK+OXhbd2CEednwiWU0HqEn0o3XmUXEGqod6ewNoo93cbivicqSXJYUZk0YMvyE/yjBWIBlOVUca2RAsNpTX01fxPgrFWYVDIm0OBrBcJS8bM+AWVpbl5+uvhBN0XZaYidw4GS5tYK+6GDI78YJghyMhz8coLGvhSxn7giB8UR3y0hN2bBHIRHdLnkSPRn6AiG6bWG7OVgPbB7Y1u8PU9vQM8aeg4TCMXYfbuPklcVDyqNWlGfr9nGqu3zMfXvDvdT56ijyllDkWTJE8Grt7mdlbjn90T6yXKM/4W1dfnzBKJWlY0dPHI3Es+YLRAZ8lZIXRPoiPVhA4QRCsi8w2N7hzy+MzJk12vN7tLF3RFkyo6Z9iTPgdxhN8jscTjA20ryz3n8UX7jCmCQDdf6jnJy/aYjGMhCOcriui5xRgpDU+WppjjVTFUt/JM505bFqSdN5hEVEXyD0/9k77zBJqnJxv1XVOUzoyXl3NpzNyy7skpMiimLgYg6IV0V/RryoiIqgGFAx5+y9Yk4ISBAJCkjYXTLsng2wedJO2kmd6/dHdfd09/T0hJ3pnpk97/P00zNVp6q/U/F850tcd/cPwLAeFJ5wA1947duOu/iiMlcJ15z7EZZXtAKg2aI4xFa+9fe7eExOXO1doThekVJeJaVcBpwIfBvYCPwF6BRC/EIIcb4QolDvyRnBZOygqCfclaNlJn2R8YvFRmMmgyMRhmLJAXHmIKpvIMhQdIje8PSL/Lb3WJaksJlfnx0KjzAUzhyIjY27seSLmRMnw8gVswPw9MHnaRs5QDQepS14kO5wJ23BzEKkpkkqKQDAkf6RDMUy18z/cHSIkdgwJmZK0Xi+q437dz/JE3sP8PyhfqKxOAOTKSabtJglsg4m0+En92sSZ8/gjpyb5iIYDdE+0DkmQ12Spzq20z7YxWMHxu4zEs/cJm7Gic5UMpI8JsTn9o6ftHMkPkR3qIuYGSNmxugKtnHXji2E4mOdpvoGx69btW/gBYLxIB1BKzYxe4TRE+6iLXiAfUO7icVjDI1EONg5wFAwQjAc40h/kJFQlP3tWVYVLf3P8cct+zvGWmOipnVdtgcPMhAZq/SYpjnuJEdvuJuYGSMcDzEcHWTP4A4eO/xM6no1TTOVBv9YiGNlH2zrHmJH5z4Odg4QjWVeEzEzluE+mCRshsfcA3sGdxCOjT132RZngGA8iEmcjmj7sXViGhTKYvUj4H1CiJ9LKaduI1UosojHTT75l58TcVqDAS3i5guveF/OzETHA16Hh0+f/UGuv//7PNe1C82IYSzdypf+bPKFt17E8ubyYouoUMxZpJSPA48DVwkhTsCyYr0auAToAuZNvYZ4jkFod7iLgGN0Rr5/MDRGocjlSpOBOepGlK0wJGe4Q/HJFFU1GQ5GM/aRjF+J51AKwUp00DcQoszvxGk36OkPUup34vc4CEXD7Bx4NqP99r29RIMRYHoZwY6GjrL1wC7ipuXOlCvtNEA0HicWHB3UZQ9kcym0cTIHliPRIe5+bm/qfxMrwYJWbQ20e48GU9aCCd2asjKz5SMYG8nIvAaw9dBTib/2saZ6OaWuEkLhGE/u6iIYjnHUPkQ0buZURtOtOHEzzhNtzzISDTEcLcWluzD0qQ83h6ODjESHcOiZlqADHQM0VPnQdS1VbDYXEcJ0hzvpDnfi1J05FarUPjszrWhxM07XcBcVgxoDw/nrRHUnzrMJ9AWPphShgeEITdWjCSzSrTqHhvfhPNJP9PnJuWQO56nH1RPuTMUkJdmyvYM9ewdZUjc2+UVXqJ0joY6M62n7/g6aSuvw6CV5J1mmQ99AiL6BEMbRXrqj3RnHYSQ2/gRCtqoZJ87h4AEWeZdmLM93yU9mcmWmKZRiFcR6wu0RQtyH9aLKfoKaUsr3F0gexTznO7f9g3bjKes9YsJ7T7wkld3neMVld/HJsz7AVx/4EU92PIemxzEXb+Wa35t87dI3UF81Qa5jheI4RwhhA+qACqAE693em3ejOcZ48969icFSLG5Ozx0sbccmVrC5w24QCkfpTVhKonkGMeF4kO15rAv5aE9khEt+AwyMRBDN5eOm8x4YieJNyByNR4jEw7ht+V3rOoNthOMhjrRrqZo8+RTOzr5BKvWyjIFdujzdWYrVYHRgjNtTW/BgXpme2j05y8FIKEoub6zxODyy30rQkGBH157U3/G4yYPPP01ZrJVomltYdnKF8RiI9KPHQpimyaGRfWhoY9wEJ0OcOAdG9lLrynTn3HOwD13XaKjyTSq+CsirVOVi79AujJBJ+8jhvO2CWZMJT7fvnNT+h2KDPL1/EDiYSrSQj33tA6xoyT1BmusIjASjmJjsbhvOLIGe2iZzq+FQlGA4TCwepjc8s4pVkt2D28csy2epy5WkIxwPjZusJBc5XRRnmUIpVl9L+/uicdqYgFKsFBPyj8d28kDvbWiJzKSnV5/Di1Yu/GQVk8Fhc/DxM9/L1x/8KdvankLTTaJN27jqtxrfesdbKPNPvwinQrEQEULYgZdiWaleBZQCB4HfA79NWLPmDeO5QkcSA8sXDk8QjzLOOCS515HoEGBOOU5mJlyLsmnvHsqIOclF3Iyzd2g3ceLo6ONaxcAabPaGu7Frk7N09Y8M0Y/MWNY1jmshWFad7MQI2f+nk3TtS5LP1XJvW/4YmFyyAARDUZwOgyPDo0rv4SODDAxH8PlHj1UymUA++sI9+O2ldIQOU8qowmli5nT3miztieyRSXYPbsfetpLKsmNPRT4eUTNKNDJ+Ud7x2HUg0ykr2xJ2LIyvI2SuyFfvLP/+TXqDfXmvyZlkojIJ9+14JufyF4Ymp7wmmWzx5pmiIIqVlHJe+agr5i57DvXyk22/QiuxXqZVtiY+dM7riizV3MJu2LnijMv45oM/59HDj6FpJsPVW7jyN/CtSy/B5SxoXXCFYs4ihLgRuBBrTrcb+B3wGynlA0UVbBaZKLHC0ASpnNuCB6lxzY36gBMpVQAD0f6UMpVPqUonV4D/ZJno+E6GnoEQe9v6CQ2ECMZGaA8ewmW4ORrJHLTv7xigtsJDud81zp7y0xfu4e4njtJcUZ3hNZl0fTNNk4FoP5F4hJ7wxPG6naE2ukJtqf8na02aKiYmz/U+R/Tp2R8sjxenNJcIx8PE4lEM3cZwdIiDI3utFXEDlzZ55fNQfxcHe6ZnVZ4u47nZwszcSwA7u59HVBYuS3LBR1hCCB/QABwAQlLKwjtAKuYlfQMhrrnpRrRKa9bOZrq47oL3oetKb8/Gphv8z+nv5JsPGjx8eAuaBr1lW/j47zS+8da3YxjqmCkUWEXrb8LKBHjXQn4fBWNja0lNhVAkWcfHZObKis4+3aH5mcCns3uEUoeLA8MvYGISHseVrb17mFLf9DwROhNKkK3XjrvKxDQzaz4dHNmbd+Cbi+SVsXP/7IfTj8SGx8RfzTb9kd4puxVOxNFIPzGO7dGzZ0iy3L96VKliNDto+TiZQLN5dn9hEz3Eic+KJTubrqGegipWBRtdCSE2CCHuxfJXfw44BThXCCGFEBcWSg7F/CQSjXPtb/5OqGLUR/fy095BwFOWZ6vjG13XufyMSzml9pTUsnbXo3zyz/83bVcBhWKBUSOlfLuU8o6FrFRB7iK90yG9xsx8IJ9bU65EH3OJaDw6qTo8sdixzezvH34eTOjoHspITDFVparQHBzeO6WshzNBMjPgTNI+QZxdkgndeBU5KXScVUEUKyHEBuB+oAUrQ2CSAayS0n8VQrykELIo5h+mafKdPz/KQff9aJp1g5y36Fw2N6+bYEuFrul85KxL2Fx1WmrZC+YjXHuLUq4UCinlzGgbxxkdoZkfXM4GYTO/ZWHnvrmbl8TEnPSAe6rxVeMxGdfKuUQxir8Wk4lc414YnFrs0fFCeoHkQlAoi9WXsFz/1gDXkoiDlVI+AqwFtgNXF0gWxTzj1gee58Ge29Gd1hiowdvIf2+6uMhSzR80TeOKc9/KxrLTU8u2jzzMF+9UypVCoVi4RMivWM3lp19nqI3hPKmo05mJOKDB4fmlVCnGciyxgQuZkWBhj0uhFKvTgZ9JKYfJepZJKfuBH2MpWApFBk/u7OLnD92GEbD85B2ak6vOfS82/fisVzVdNE3jEy99K2vco8rVk/0P8+W7fzmm6rpCoZi/qLkSxXQ4NJ0U/ArFPCAZH1ooCqVYxYF8Ttk+xi+/oThOaTsyxJf+8E9sTaNxVR849RKqvRVFlGp+c/Ur38ISbdQt8LHuR7nhX78kPsWUsgqFQqFQKBSKTAqlWD0AXJoovpiBEKICeC/wnwLJopgHDAcjfPYXDxBt2oqmJ+KqWs/klKaNRZZsfqNpGp+/+C3UB09NzWxv7djCDff/jFh8QcfuKxQTIoRwCiHmdcpMXVdzlAqFQlEsCvUC+SSwBHgM+BiWO+AFQogvYGUIrAGuKZAsijlOLG7y1V9vpcv3ELrLCjpsKmng0g2vLbJkCwPD0Ln+jW8m0H/KqHLV/hg3PPATorH5k+1LoZgJhBCNQohfCCE6gSHgHCHE2UKIu4QQJxZbvqliKMVKoVAoikZBFCsp5ZPAWUA/8HEst78rgKuAQ8BLpZRbCiGLYu5z4+3bebz7UYxABwBOw8lHz7gMh81RZMkWDi6njS+/+Y14O07GjFsDsW1tT/Ll+39IOKYCYBXHB0KIVmArcBHwMKMu6TpwKvBvIcRJRRJPoVAoFPOMgrk8SCkfl1KeCVQBJwOnAY1Syo1Syn8XSg7F3Oa+xw7y50e2YG+SqWXvO/lt1PmriyjVwqTM7+SLb3kttgObUsrVkx3Pcv2/v0cwOrMFEBWKOcqXseJ/VwD/zWjG2nuBlUAn8LmiSadQKBSKeUXBfcmllN1Syi1SyoellPOjGIaiIOzc38t3/vQIjqVPpOKqXrbsHE5tmnfeOPOG+kof177h1cSf34QZsx4Hz3RKvviv7zAcGZlga4Vi3vNi4AdSynbGZqw9AHwP2FwMwRQKhUIx/xiTTGI2EEI8N5l2UspVsy2LYm7SczTI53/xCLQ8mapXtTSwiEvWq3pVs41oCfDxV7+ML/0J7Mu3oRkxdhzZw3X3fYtPnfVBfE5vsUVUKGYLB9CXZ30ccBZIFoVCoVDMcwplseoEOrI+RxK/LwADuLtAsijmGOFIjC/+4lEGfM9ilHUB4LV7uPy0d2EzCqL7H/ecvKaO95x/DqEdmzCj1jHf07OPz977DfqDR4ssnUIxa2wFXp9rhRDCBVwKPF5IgRQKhUIxfynIqFVKec5464QQ64F/ACrO6jjENE2+88cn2DWwHeey3anl7z/57apeVYG54LTFdPWN8KeHdJxiC5o9wr7+Q1x77ze4+pwPE3CXFVtEhWKmuRb4hxDiDuBmLHfADUKIJcCHsWKvXlE88RQKhUIxnyh6vY5ExsDvoNKtH5f85d7d/Ou57Than04te/2aV3JSw7oiSnX88rYLVnLOylWEdmzGDFseUIeOtnPNPV+nc6i7yNIpFDOLlPI+4DXAcuC7WMkrvgr8CKgE3ialvLNoAioUCoViXlF0xSpBD1adK8VxxKPPtvO//3gCx/LH0AyrOO0pTRu5eNUFRZbs+EXTND74+g2c0NRKaPtm4iEXAB2DXXzm7hs4eLStyBIqFDOLlPI2YCmwCXgD8GbgDKBJSvnbYso2HTRUHSuFQqEoFkUPYBFCrMFyudg9UVvFwmFf21Fu+M0j2Jc+hu60ss8tKmvkfZsvQdPUwKCY2G06n3zHZj73U5Nntms4VmxFdw3TM9LHNfd8nU+d9QFaAy3FFlOhmDGklHFgW+JzTAghKrBiiLP5s5RSVTlXKBSKBUyhsgKOkJXKNoGdUavZGwshi6L49A+G+NzPHybW+DiG30rIVeL08bEz3ovLphJwzQVcDhtXv/Nkrv1JnOe26zjFVnTPIAOhQT577ze58sz3sap6WbHFVCimhBDitmlsZkoppxJntT7xfT4wkLZc+dIqFArFAqdQFqvfk1uxigHtwO+llE/nWK9YYESicb70f4/S69+GLdABgMNw8Ikz30+VSlYxp3A7bVzzrlO45scPsWP7ZpxiG7qvn5FokC/8+ztccdq72Vi/tthiKhRTYRW530X5mGr7dUCHlPKuKW6nUCgUinlOobICXlqI31HMbUzT5Ed/fQo5vBV7037Aigf4yGnvYmnFouIKp8iJx2Xns5edynU/f4RndmzCsexxjNJuIrEIX33gh3zglEs5vXlTscVUKCaFlHJRAX5mHfBUAX5HoVAoFBNg0wob9VT0GCvF8cPfH3yBfz7/bxyLdqaWvevEN3GisnrMaTwuO9e++1Su/98tbN2h41jyJEagg5gZ59sP/YLhcJCXLD2z2GIqFMdEIt53ERAFdksppxv3uw4ICiH+A2zEirf6FnCDlHJK1q/t27dP+cdN0yQajQLQ29sz5e0XCsf7MVD9P777D+oYJPsf7A1P61k6XYodY5UPU0rpnQ15FIXniZ2d/OyBO3AsHr24X7v65WpAPk9w2g0+eelmvv6bbTzwJNgXP4Ot6jAmJj/Z9huGIsO8ZuVLiy2mQjFlhBCvB74CNEEqpZ4phHgO+LCU8p4p7MvAcjccAj4K7MOqg3U94AY+N4OiKxQKhWICbJq9sL9XoN/5HPAuoAW4HdgOBLFSrL8aK4HFn7BirhQLjAMdA3zpb3/Dtmg0jO7C5S/mdasvLKJUiqlit+l89K0nUeZzcuuDGsTs2Gr3AfCbp26iL3iUS064GF2bK1UcFIr8CCEuBn4L7ASuwMpOawDLgPcAtwshzpNS3j+F3V4I7E+zeN0nhPABVwohviKlDE52RytXrpzCz1qYpsmtO58EoLw8MOXtFwrJWfrj9Rio/h/f/Qd1DJL9X9YgWLmyaVr72LZt6oliC+kKWAJsyE5SIYRoAB4A9kkpry6gPIoC0DsQ5FO//z3xpsdIZlE/r/UM3nbCxSqt+jzE0DUuu2gtVeUefnErmDEb9oY9ANy28x56hvv4wCmX4jAKO0OkUEyTq4EtwNlSylD6CiHE94AHgc8DZ09mZ1LKGJDLwnUH8F6selnPHIvACoVCoZg8DdW+gv5eoaaWPwB8I1fmPynlIayK9+8pkCyKAhEMRbnytzcSrNmWUqpOa9zMu056k1Kq5jGapvFf5y7l42/dBO2C8N5VmAlH34cPPsbn7/sWg6Gh4gqpUEyO5cCN2UoVgJRyBPgFcOJkdyaEqBdCXCaEqMpa5U5856pvpVAoFIpZwmYU1oumUL/mBeJ51pdg1bRSLBBicZOP/+F/6SsdNaOe1nAyHzr17cpVbIFw5oYGvvyBMygLLSe8awNmzDqvO47s4eq7b6BzSJXtUcx5dgEn5FnfChyYwv6cwI+At2YtvxjYKaVsn5p4CoVCoTgWCj2RX6gR7r+BK4QQG7JXCCFOBy4HbimQLIpZJh6P88k//4x2x9bUstPrTufDp78dXVdK1UJieXM537j8bFaUryS0YzNmxJofOTTQzqfu+gov9E5lTKpQFJwPA28QQnxOCFGSXCiEsAsh3g+8G3jfZHcmpXwBK2brOiHEh4UQ5wshfoKlWH1shmVXKBQKxQQU2j+qUDFWHwX+A2wVQjwMPI/V12XASVizhlcUSBbFLBKPx/nM33/GC/HHUstOrT6LD535RuX+t0ApL3Hx+feezk/+VsId2+w4xDZ01zD9oaNcffcNXHH6u9lQt6bYYioUufgOViKlTwFXCSHagTDQwKgXxd+FEOnbTJSx9p1YsVuXA3VYyZoullLePMOy50Q9ZxUKhaJ4FKpA8M5EjZBPAC8Dkpar3ViBwV+VUg4WQhbF7BGMhvjM7d9j7/Cu1LKTSs/mI+e+sYhSKQqB3abzvovXs7SxjB/e7IDWrei+fsKxMF/69/d487rX8OoV56tBn2KusY2plwLJSyI265OJj0KhUCiKRLleia4XdtxRsKyACd/yywv1e4rC0jfSz9X/+DYdwcMAmCascZ7Dx1/2hiJLpigk55/cwvLmcr58YwmdkQcwyrsAKx377iP7+eCpb8dpcxRZSoXCQkp5abFlUCgUCsXsYNcc1AQ8Bf3NQqZbRwhxNlaxxEbgi1hFFE8D/iCljBRSFsXMcaD/MJ+75zv0h/sAMGMGa4yX8JnXvKrIkimKwaK6Er7x4Rfx079VcffBf2Kvfx6ARw8/xhV/P8y1532QSu/xWVdDMTcRQtiBGsaJO5ZS7i+sRMeGho6ZN1+UQjGzeN02hkaiM7pPXYe4uoxnBQ0Nc2aN9XMWh90o6O8VJJOAEMIQQvwGq77HFcAbgGpgE/Ar4B4hRGkhZFHMLE+0Pccn7/rqqFIVdrIqdiGfft2rlNvXcYzLYeMDr9vAx178FrT9G1MZAzuD7Xzolut4eO+YygsKRcERQiwWQtwLjAD7gBfG+cwrqo2GnMsrHdUEHJUFlkYB4HbY8DgLOpd9zCz1Ta5AtQY015RM2G6qeJ3zP1l0TcA9cSOg1tVIlbNmSvt2O/JfT3UBJ/o447AWz5Ip/dZcYy6PLguVou2TWMrUB4AljB6Tv2EpWicDnymQLIoZwDRNbtp+J1/893cJxYIAxId9LAtdyKffdD5GgX1aFXOT09bV8913vZXW4ZcTD7kAiGpBvv7w9/nqP39NLB4rsoSK45wfA6di1au6mtHYqOzPvGJVQylGjgomAWcVlVMcvCVx6E48Rr6cHRZOu05LrX/Cdn7P5AbNFaUufG47VWWTG6COR33lxLKnI5rLj+n3stF1aK71s7i+hOry0b7M5XelrumU2MombjcLfaiv9M4Ze4rfNnbeXWJM6AAAIABJREFUv87VRLl9Ys+LQIl7UkpAib2U8ilOeridBgG/EwCfzY9Dd2asd9h0qkodBByVY+57h5HZdqapLndP6jmQjqFree9TDY0KRzVgTd7OVQol2aXAz6SUPxBCVCQXJooyfkMI0QpchMoMOC8YiQT5waO/4uGDo5n/Yn2VCF7MZ95xBnabSqmuGKWq3M3173w5tzzUyo3bfw2+btBgS/cDvPN3O7ny7MtY2ZB7hl2hmGVOBr4gpbyu2ILMJD63Da+eOag5YXETw4nyxD5bCYPRo+Nu31jl42DXID6bn4CjChMTt+Hh8MioR2RNwM2RviAVpS4GhyMMh6KU+hzUV/rG7K+p2ocJHOwcTP3vctowtCB9Q8G8fakuH42P6OobmajrOWlwN1PiG+TwkckXLp9pZaG2woumabgcNuvjtBEMRSnzu9i5vzfVribgpqNnbD9FSzm79vcSNy2lI7svGseehcWhOQibYXxuuxWXchR8dj9Ho31T3pfTrhOKxPG57QyOTC7So9TroCyhKHhcdo4OhSe8Vv1uO36vY8JzW+OspyN0eAryG4Qi1sRfwFHJQLQ/83ftJXgMD72Rngn3tby5nHA0xguHx+9HkibPYg4MT85I7vc6OKlxDQ89exCP4SNqRtg7tDu1XgPcDp1KZw194YnlTFLhqKI73DXp9jn3Ueombk7tilxcX4LdZtDZHaLB3cK+4T2pdX5bCbWuRjRNozvceUyyzTaFGgE3AFvzrH8aKy2tYo7TNtDJp/75lQylKnK4ldX6y7j2v8+c07MIiuKhaRqvOm0l3/2vq6gKnUDyeTtsdPKZ+77MN2+7jUhUOdMrCk4HsCAz0vq1zFn2ExrSU8ZPPOBxGx7q3c24DDduIzP4W8eaiV/eXE5FqZumGj9N1T5qK3LPNvs8DvweBysXBVi5KIDP48Bm6Lz2xLMmbbmaiHQrEEBp2n69Nj+NJXU4ckz6OXPEX9S7mjL37axjuX/1pORorawds6y2wpOK86j2WnPLXpedilL3GItVrrFofaUXXdMQLQHWtlZR6htrbZiMGtjsWZx3vaHbEM3lNNX4cdgNljeXU+ospcpZg882vvXB7x2bkKiyzMOypjKaaiZntagJuKmv8uFx2fG4Rs9dtTP/0NDIOqcO3YmBgVPLuh4c5axoybRCJpW4dDQg4Hficljny2fz4zRcuX9bt6Xc9wKOSqqcY889WEr6yprFeCbh2ug2PDR7Wsddv7y5jOpyNyc0L2JT82p8Di8+Wwm6po+xWMH0yi9UOKvHXZfvOshmPDdEgFKfdc2kHzO7zaDcXcpi73Kchivjtxy6K9WXgKMS3ci8dyscVZOWa7YplGJ1AFibZ/1ZwMECyaKYJv/Zv42r7rqeg0fbACtJRWjXCWwoOZOr33FKwQMEFfOP6nIv333bZby64S0QsV5Wmi3CfwZu4R2//AoPPzevcgQo5j/XA5cLIZYXW5CZJntApWvpr/v8gy2fx47dmPzwQNc1fB5H3oEUjCoV6TLWV/poqPROOhYFLAtUdqxYmd+FaC4nUOKkutyN3zP2fdRSV0JlaeYguSbgwe2wESixBqXl9gA+ewmishWfrYRaVwOl9rFugWV+J067TpWzhlavoNTtoamyjLNWrOKsFRl1zyj3j/6m3Rg7uLZpNuxa7kH30sbSlCKlazrranLHPXndEw/aXYaHQIkTb45Yr3J7gFJ7eYalrq7SyxnrGyh3VFLpGN+F1Oe2s6pqWSpuR0dnRWAZtX7rfOdSXtMJlDgJlIw9/1XlHgxt7LY1JaOTBh6njc0tq/EYXsrtFSzyLqXVJwjoo8pBctBd6vKzpKGUylIXi+tLqKvwZrir+T12lreUc1LrUlYH1tLqFdS7m/PKXu6oZLl/NZXOGspyuAY6DDu1vioaSmp55bpTxqzX0GhyL8rcJoeClGqvabxIbGTTYkG5O39qghp3JUv9LWP26dAyFWGv00ZZQtFpSPTXNs797zHGWqSnQmO1j9qAh0BJ4v2f9SzSgNYGq1/Vznrcuts6t47RZ0fSrbGlbvTc2cc5ZsVwJy2UeeGXwGeEEA8BdyeWmUIIF1Y1+jcBC8oVYyERjAT5+eN/4L4XHkoti494CO/ayJkrBJe/aaNy/1NMGk3TeOuZZ/Ditav53J0/opt9AIT9+/jatq+zeMsZfPBlL530TKdCcQz8Engd8IwQYhfQydh3sSmlfHGhBZsJqp119IW7CWTNQFc6a/K6V2maxoalDRxp02fUklzrr6ZzqDtjma5rlCQUh1wucOk0VHnpORrCoTvxJmaze8JHaKj0YugaNt2gJmBZzYYS3XPp1gDOYdiwGToVZW6O9Fvuh163Da/bnlJKeo+GqHJZFpIqbwX17kzLVTp1FV6qvRXUuBqw23TcTmsAq2kaomYRg/02tne+QEwbdXVsDTQTiobH7Ku5vA4j7KctumfMOrvNUizOaNmU99jUVnoZODDqsldp1HEk1pb635k4Dsvra+ke6ueFw/1EYyZljjIqHLUYmsFIdAgrjwvY9FGFprnWz+5DoXF/++SGEwl4XDiNQZb7V2OaJj6Hj6ryKo7s30pjtY/9HQPYDCv+LhTJdItLnrNsXA6DWA5l/YK1m/jLE//CpuuU+hyUuX00ehal1muahqEZVBsNVLgC+G2lrF1aycHhARx2g6o091KPy05thYdQOEZVuRuHYaOlrJHtvT3Y9NEhsl03iEwQE6xpGs2eVvYPP59atrZmBW67dex9bhcttX4Odg4Si1uPmWpXHW5bZv+zlY0k5fYAJ9avxusYP314s6eVo5E+SuxlVLusLI2+Ki+Hu6ztg/EgNc76VHun3aC5roThYIS+wTDuRBxlU41vUq6LU8HQNfweS4ELhjOP5aK60eQnjdXWMSJqo8mb23rntBkYus7SxlKODoU5raWVO5/uIxIPEzbH3mOFpFCK1fXAauBGIOls+zugPCHD7cAXCiSLYgrs7t7Ltx/+Oe2Do/62sZ4awi+s4eKzVnLJy1cVvPiaYmFQV1bO919/JTduuYNb99yGqUfRHCH2cjeX/+VZTqs4j3e87MTUzJZCMQt8BTgfazTpAHL78sxTyhwByhw5ZtF1B4s8S+mLdNMX6SVQ4mRkyGAkNpzKNNZa0USwv4feo6MDaqfuYpCBKcvRXFqP3bBT4hw72203bERimWm6G9zNHBoZa70u8Top8TopjXno6YumFMSkYlbmKmVF1RIe2LclZT2z607cLhu1/moOD3QSjIZoqfUzHIpSluVSF5iCO1G9v4bWwPjWjPVL6onbBxkyR2NzqjwB+oKZg9VKTzmL6xfRNxDmJE8VB7t7cQSPcnBkb6pNS9nYGFS/x87A8Gjs0vq6Few68HDqfz3LISlpiVhRuYRHgk+wtNFKSuHW/Ax1W0qU2+al1ufkaGiQ5ZWjboOL60vZfehI6n+3w4bLadA7EMJh1ylPuNQ57AbhSMyKJXPaUlZTh91gaWMZ9YlzcCwYGNhtBg1VmRNvoqUcua83Y5lDc1JiL6Oi1EWgxMX+odE5E5/Dw2B4GMi0KJa6xk7o2Qydc9as4NE9u+gfyj9odxluvIaPodggTt2ZUqrAsjhubFyB27kbTdPo6h0m4HARywoz1DSNamctnaF2wHJz7ewdYWVt6xilKntS22W4cRlJ6591r/rcDmAoNWmQTm2FJ7Uft+FB13TsNh3DYaO2wsPAYJih0Myk0XenWUqzR43p63RdoybgScVk5iKpHNttBhWlbipK3ZzYtJL27mF2DjwLWIr5surC1rCCAilWUsoY8GYhxM+A1wCtgAHsB26VUt5cCDkUkycWj3GL/Ce/f/pmYqY1Y2nGdCL7V2IeaeS9F63nFafn99dWKCZC0zTetvkCzlt5El+6+6e0h6zBlBFo5+Hob3nop9t45YoX8ZqzluWMK1AojpG3A7cCb5RSDhdbmJmkqjTT3UcDVi4KsGNfD6ZpZQWr0uvQNYMNLZV4qWBP9yG8XlhZvTjDYpGk3FHJSGwYJlEjq87VSFvwILWuBppzKAZJlpS3sOPIqKUmPZapIUeGMI/dxZrmGnbu76V3IMT5LZvoj7cTjcdYklB0DF1H16C61EllmYu1SyrRNZ0T69dimib/ObAtI45nNrAZOs1VFezqtga3brsLu2Gn0hOg3zdAKBZmWWARjkTB9JqANRxbVldLT7eJTV/G2tZKykqcuGxjn331VT52H+gjFjepq/CO6xbWVO2jvWcYm25nWXMZdsOOrunEE+fQ5bSRnvZhacWiCfu2qN6yLgRKXdgNPaVArVtayc79vZR4HZTkiLvK54Jq0w2iaRYhl83JkkALT3UPsNS3kj2D29HQafDkVmZrK7z4PA5cDoNQOEZ0+AgdfdakQHWiQGxroJmn2rdbf5c381THjjH7yZdvoa7Si9tpw8TEqRlEInFqKjxUlrl5eveo4rm8Yin9Q8M0Vo09J5XeANoR6zhUlXsQlQGek2MttWWOCoaigwzFBqkodVPqc7K6tWJMO03TOHFlDX0DQfYcHFXinY7x3S9rKzy0d1uPu6RCc2LDapb6TPoGwrQ2lPJ45yHK/S7K/S5icZOjgyHcLhtZBudjxm8vpTM0almt9ubOjOh12xlKJEHZIKp56kjbmDblfleqXwC1ZQ5czsKHqBREsRJC/Ar4s5TyJkZdARVzlL29B/nhll/xfO/ojGF8yE94z3p8ejkffddJbFwxfnCjQjFV6vxVfPPVV3LHzvv59ZN/JWKG0IwYWsN2bunaxy3fXcFLV5zCf527lIrSY0u7rFCkYQNuWWhKFUBjpYuqugoOdAxQE/Cg6xrVAQ9lficPPW0NSjRNY11jK60BK4aoJpAZG1Rf6cuwWOmaTqNnUcIaNDbDmq7pxM04i8obidg9+NtLqcxKk94aaKZjsIuWskbAGmhWj/TRFzzKIu/SVLuTlixiKJZp3VlTvRyfw8quJ1pGLXF1LCUXHqdOU40/NXjUNO2Y6ivWuhppD1rh4A0lExs3q72VHA0NEo5FWFaxOCVDPuXF0DU2r64lEo1nzOJno2sarQ2lxGJwYpMVd5WeyS6Jz+NgqcfOpvq6nLFO03XjX1ezgo6hI9T5RscCXredDWL8scF4x35d7Ur8Di/PdEqGIyOsqlqGP2XdHEDXdJb6VhEnnjPmKokv4dJpc+vUBhzoGixpLE1llixx+lhbY13jJTksU+lkF8/VNEv+8oQHxcnNtZjmaPbIVYsr2L63G5/bwQZRRSgSGzeZ18qqpWzv2o3L5qTCU87ienuG253HZWM4GKXGVc/zQzutPuWJefS57fjcdqrLPTz0dBs2Q2dNawUH9vXl7MuSxjJKvE6W2U6kJ9RNvb+GEpefEhc05QilK3VZrrYOw47NlakIpePQHMSJETVHr8EWzxKGYoMcCXVQ6nXQGmimbaCTaGwYp+7C0AxaPEsoc0UJuMuo9OZOYb9+WSWRaJy4afW3bNBPXzDTej5X4vwL5Qr4WuChCVspikooGuYvz93OzTv+kbJSAUTaFhE9uJzlTQGuvGRTRvpbhWKm0DWdl4uzOaNlIz/f+if+c+hRa7lrGBY/xp3de7j928s4Z/lGLjpnqYrBUswEtwAXAj8ptiCzQWWZe4xi47AbNNf62d8+YLnKNI1fr6myzMr8FzdNBobCdPRY+qeJmdP2sKFuNSORIGXuEvQSnboKL64s5aDeX0O9P3P0trzSiqP4V+doDqv1DcuQR/bQPTwaN1Q2QbD+sZKMZxoPv60Ew92MTbPjtOWyyGSiaVpKoZoKNkPPO5BOb3fWohPRdattc62fXQdypUbXxk0gMV48TzZGWryRTTcSA/GJn8HV3opUXF2p088h2lO/WeOsx66PuoiurVmBaZo5FTBN0zAY7UNSiQdyKlu6plEbcNJYnSljqWt6hYwzk78klfTR/6vK3ZT567AlLHj5MiRXeMrZ3LAem2FD13Saa0uIm7Cv7Sgel43VrRX0DoTY3z7AOQ0biNsHxrXkpOOwG5y9sZF43MwbomEzdOoqvYCXeibe78qqZRwZ7qHCXUY0oKPvidER2U/fwOikS7nfyRktm9jXdpS4uw+7LcLyisXYalxsea6DyhIPS5pKqfNVU+Eup3ekj2aXjaODUZY0Vqdir5JkXwN2m5FxfzaU1KUUq0qPpYyV+Z1Ulrl5flinocpLX/cIhlb4+P9CKVZPAScW6LcUU8RyjdjKjU/+le7hUR/leNBD5IU1xAcCXHjGYv77lasnfPEoFMdKicvP5We8gwuOnMXPtv6Rvf1Wcgvd14++fCv/HtrJ3T9pZXXFKl5+WiunrKmb1CBEocjBT4BfCyH+ieUS2AmMCSiQUv6h0ILNJovrS6kqc0/KHa4u4Y4nhzPr4DSU1HLoaHvGMrfdlRFTkq1UTQVd0yl1lWQoVpPF5xh1IXTbJh+juaKlHFvUP0YZBSgvcRKJxtGG/UWP+zyhbhUH+9up8gZSShXkt2qks6JyCc917QKgqbQee601iG+oGj/jW4nHRXWklqA5NG5mwly0ljfjsjnxONwpZTQ5Zi51jFXqJ2tRXF+7kgP9bVR6yjOOwVRYGmhhd8++jGX1/twWtzpfNYeOWi6na6pzJxGdyvjIkaWYL6oryUjg4HHZ087H1DyExihVx5gaz2lzjFpo7XDW2lYe2NeNx2njSN8IgVLLZbC2wpsouZAZy3X2xsYx+6v1V8MxzI2WuvzU+CqJxqMpF2CA1a0V1NdtRh7ZgzlQgmuWCyHnolCK1a+ALwohVgMPAl2MddI2pZRfLZA8igQ7unbz66duQqb5uJumRrRtEdFDS6kN+Png/zuBdUvnTo0AxfGBqFzCl196JVsOPcmNT/yV9iEr6Fn3HsW57Al2Bney/R9NuG9axBlrFnP2hkZWLgqoZCqKqXBf4rsBeNE4bUxgQSlWYLmIHQstpQ34nV6ODPXQHxpgSXnLDEk2itMYldGRI035eCyrWMyevXswNIPGksmXyPS7XdT6R61ia5ZU8PyhfmoCHpprSwhHYvQNhFLuYMXC5/CyompJznWVpa5U1sPxCHjKWFMjsGkGbruLxfUuGqt9eRWDNUsqqO3zUFHqTiU4mQw2w5aKsRsMJ6K5pvCIXru0kmf2HME0we9x0JxIj+51eMY9BpOlxleFy+7CZTjoD1kuh+NZRW2GjZPq1xGNR3HZVUIlgFKfMxX7PJX7bCbQNX1ca3C5u5STGzewY3BsDF0hKJRi9e3E9+bEJxcmoBSrArGjaw9/fPYWnu6QGctj/RVE9q9AC/p55RmtXHLBymOadVQojgVN09jceAIn1q/lP/u38Zfn7uDQgOXfrbuG0ZslkfhO/tlRw52/rqdca+Ts9c2curaOZc3lY4pvKhRZnFtsAeYLlWXuVGB4U40fXdep9ARSbjizQYWnnEpPOYPhYVZW5Y6jyoXL5kSUWO6FuawZyysWs7tnLxWecup81TzbtROn4aDal+kWlcw2lsRhN1KJEOYq6enk89UVK8tyiZvI2uJy2Ma41U2XqTyVAyUuTl5Th93QZ3zSTNO01HGYjLJkM2zYjPk3HpqOwcptdzESya+gJ3EYdppL6yduOAUqy9wc6LBc/abj9n8ssZTHSqGuEJU+bg4QjcfYcugJbt95b0YWJoB40E1k/wrifdVsXFHDf1+4mpa66fkiKxQzjaEbnLloM6e3nMRjh5/hlh13sf3IbgA03cRW0Y6top2h6FPcsq+Gm56swhOpZePSBk5cWc1GUUOZX2UVVGQipfxXsWWYL1SUulnaVEYkGi9ofOOKKShUk6XaV0mlZ9SNbnPDCeiaXtTB2EyhaxottX7C6Nh0y+I3FWvfbOK1e3DZHERjQSock3dvm6jAsGLmWV29nM7BIwTcZRO2bSqtn7Y75niUeB2sWBQgGI7SmMdFdS4yK4qVECIGvE1K+RsAKeW+xPISYFBKOXMVBxUT0j7Qyb/3Pco9zz9Iz0imv3o85CJ6eAmxIw0saSjnktetUhn/FHMWXdM5qWEdJzWs42B/G3ftuZ/7XniYkaiVrlazRbFVHcJWdYioqfHwQBn/ua+S2M2VNPrrWbO4ilWtFaxeXEFVucouqAAhRClwKuCDjOI/NqwogHOklG8qhmxzjXwxOPON9IGgkSO1/HzG47JTGbBRxyIqSqqp8U2coKAQaJrG+tpVDIaHebpvABPm7HM4PSOj1z3/rFTHisvmzFsmoRDUzHHr8HjM1tUyZtpHCFGBFRj8EuCeWfpdRYL2wS62HXqKB/dvZXfP3jHr40EP0bZFxI40sm5JNa+9aBknLK9aEDN2iuODxtI63rHx9bxl/UU80fYsD+zfwrZDTxOJW7UuNM3EKOnFKOnFzi66YgZ395Zy17/KiN9aRrm9FlFfw9LGMpY3lbOkqSyVrldxfCCEOAW4g8ww6uRDMOlBcwRFQUgWmFUcOybgsblZVN44YdtCYjfslLtLOWmVh77BEFVlc3Pw3FTj50jfCNGYmZHafz5i5ivOpZhxCq2Gz8ioXQjxbuDjQCPwBPA/UsrjOp370dAg8sgenuvcxZaDT9M5nLu6eayvkmhHC85gLS/Z2MRL39LC0qaJTb0KxVzFYdjZ3HgCmxtPIBgJ8nSn5Im2Z3m87VmOpGUy04wYRkkPRom1bBh4LOxk6x4f8adLMIf9VDirWV7dyOK6cppr/TTX+qkJeFWs1sLlC4nv9wJ24LvARYAbeA9WTPDpxRHt+OOE5VV09AznzMqnmBpz/YnlcdlnvUjzsWAzdDatqh03/ft8QulVhWXe2TeFEG8Hfgh8DtgCfBC4UwixXkr5QlGFKxChaJgD/YfZ33eIZzp2s71zD92hrnHbx0e8xI7UY/bWs35RC2e+rIEz1terpBSKBYfL7mJTw3o2NazHNE3aBjp4ov05tnftZkfXHvpDmQVHNUcIwxHCKLXqrAwAW+MaWw65Mfd4MINe9IiXSk8lzWW1LKmpY3FdGXUVXmoCnjlTkFAxbU4Cviul/IkQwg58AytD7e+EEH8CtgLXAcoVsAC4nbaMlNOKqVHjq6Rj0DKwpmdUVEyf+a5UweTT8E+F1kAzz/fsR9OgahYT2MxH5tXIWgihAZ8Ffiyl/Gxi2V2ABD4CfKiI4s0o8Xic7pFe2ge72Nfdwb6edg4dbadjuIOBWG/ebU0TzKFSYn1V2Ifr2NC0hJPPquXkNXVjirApFAsVTdOoL6mlvqSWly9/EaZp0jXcg+zaw87u53mh9wD7+g4RioUyt9NNNNcwuIZJeoH1JD6PdwGHnZhhJ2bYjVPzUuIosbKLlVRSW1pObWkZtWVlVJS6KfE6lbVrbuMEdgNIKSNCiD3ABuBmKWVUCPG/wIeLKaBCMVkWlzfjd3jxO33s37Nv4g0UxwU1AQ/7248SisRYu2Rm4u3qfNW4bE5cNue8zJQ4m8y3o7EUaAFuTi5IvAz/DryskIKEIjGGRiLE4yaRWJRIPEosHicWixGNx62/zRjRmPUdjIQYCgUZDgcZjgQZiYQJRkIMR4YZig4xGBlkKDpEMDZEmBFiWhC0ydlvTRPMYT/xgXLsoSqWBVpZ09zA+hdVIprLMVTxVIUCTdOo9lZQ7a3gzEVW1YeksrWv7yD7+g7xQs8B9vUepjvYTcwcG+uhaYAjhOYIAUeJMqp07RrAMnkdTLheRB2YUTtG3IVDc2LXHTgMB07DidPmxG1z4XE4cdlcOG1OnDYbDsOGw2bHabfhsjtw2u04bTacNjt2mw27bmAYOoZufWyGji3tb0PXMQwDm6ah61aWMw1tQcy6zhIHgEVp/0tgfdr/w4Aq4qeYF9h0wyq8qlCkoesam1bVEo3FZ8zLQtO0SWUMPB6ZTcWqQgjRnPZ/0lZYnbU8hZRy/wT7TJa73p21/HlgiRDCkFLOeuTrth0dfPn/tjISiqKXdeBofQbNFpmZnU+gA5lxDTPoJT7sxxkro9pdx9LyFsTqGla0lNNY7VcFUhWKSZKubG1qGB1Pp1uM2wY6OdjXzt6edrqGehgIHyXMyAT7BexhNHsYkyFCQIZdLA6EE59CYQJoo98ZaGnFTrTM5cltNXDabTjsBhqgoeGyu3jtqpdz9uJTZlPy2eRvwAeFEDuA3wP/Aq4TQmzGUrIuASZ6LykUCsWcRtc1HAss++VcZTYVq28mPtn8Os82E531pPP1QNbyASyVxAscZZZ5ctcRRkJRAIxAx8wpVSRnuu2YESd61IPT9FNiL6PCXUFDSRWLKuqpryihudafqnitUChmFl3XqfJWUOWtYG3NijHrw7EIPSN99Az3cqivi33dXbQd7aY/OMBQeIiR2DBhc4SoFgJtjlSX0ADM0e9pEIpHCKVpiP2hAf624x/zWbG6DjgNuBG4DfgJcDnwENZB0oHLiiadQqFQKOYV2mykYRRCXDOd7ZJxU3n2+2YsxaxWStmRtvxdWC9Ev5RycLK/t23bNpUrRaFQKIrMiSeeWFQzuxBis5Ty0cTf1cD/w/KyuENKeXsxZFLvJ4VCoSg+U30/zYpiNVsIIV4B3Aosk1LuTlv+EeCrUsr5FjOmUCgUCoVCoVAoFgDzTRHZlfhuJTPOqhXYWXhxFAqFQjHfEEK0AidLKX+btiwAfAo4AytpxS1YqdgLGQmnUCgUinnMfEsXtwsri9NrkgsStUdeAdxdLKEUCoVCMT8QQlyPNRH3KyGEnljmBx7Giq9ahBWv+2Xg7sQ7RqFQKBSKCZlXipWU0gSuB94rhPiCEOLlWFmdKrEKOyoUCoVCkRMhxOuBj2OV7DhfSpnMLHI1VjmPR4BFUsrNwMlYNa0+UgxZFQqFQjH/mFcxVkmEEFdgFW2sBJ4ArpBSPlRcqRQKhUIxlxFC3A3YpZRnZS1vA6qxlK2705Z/HzhdSrkehUKhUCgmYL7FWAEgpfwa8LViy6FQKBSKecVf0UnoAAAO20lEQVR64EvpC4QQG4AaoB+4N6v9NqxaVgqFQqFQTMi8cgVUKBQKheIY8GIpUOm8OPF9T5prYBIXEJ11qRQKhUKxIFCKlUKhUCiOF/YDy7OWvRqrGPDfc7Q/E9g320IpFAqFYmGgFCuFQqFQHC/8DXinEGIlQCIB0unAEPDn9IZCiHOBi4HbCi2kQqFQKOYn8zJ5hUKhUCgUU0UIUYqVVn0p0AbUY00wXial/GmizYuAdwCvA7qAtVLKvuJIrFAoFIr5hLJYKRQKheK4QErZD2wGrgGeBP4IXJBUqhKcB7wZ+CdwmlKqFAqFQjFZlMXqGBFCOLFSvj8ipbw0T7tbgAtzrPJLKQcTbc4EbgDWAoeAL0kpfz7jQudhMv0RQuwFWsbZxbVSys8m2j0NrMla3y2lrJwRYcdBCFEBHMmx6s9SyteOs80a4FtYtWt6gO8BX0nUTku2Kcr5mWZ/TgO+gFWHZxhrkPgxKWVHWpuCn59p9mXO3jtT7c88uHdeDHwRWAd0Ar8EPieljI3Tfs7eN9NFCBEAolLKo8WWZboIId6NVa+rEet5/j/zrSSJEMLAKqvybqAZK9bt+8D3pJSmEEIDPgm8B6v0yoPAB6WUO9L24cSqffkmrMQldwIfklIeTmtTjlUH85VYk81/xjpec+r853o3Hw/HIN8z6TjpvwFcAVwG1ALPAldJKe9JrF+wx0AI8Srg11JKf9qygvVXCNEEfBt4ERAE/hf4tJQynE9uZbE6dq4BVkyi3XqsAcipWZ9hgITP/x3AC8B/AbcCPxNC5BxsziKT6c9FjO3HH4FB4HcAQghHYj+fyGr30lmROpNkzZnzs377qlyNhRDVWIqHCbwe+DGWUnJFWptinp+p9mclcDcwgPVg+ShWHMmdQgh7ok2xzs+U+pK2zVy9d6banzl77wghTgduB7YDrwC+C1wJfHqc9nP9vpkWUsqeuTCgmi5CiLcDPwRuxIoR68O69xcXVbCpczXWgPpG4FXAH4BvAh9LrP8M1rV5A/BGoBS4O+HumeSHWOnyP4Hl3rkeuC0xWE3yZ+Ac4L3A5Ynf+s2s9OjYyPVuXtDHYBLPpAXd/wQfw7oPfg68BtgD3JEoEwEL9BgkJodvBLSsVQXpb0I5+wfWROjbgOuA9wNfn0j2eVnHaq6QuLA/RO4Z6/R2ZUATcIeU8uFxmn0C2Au8KTHbe4cQohLrIvrTjAmdX85J9UdK+XjWdidhDRgvk1LKxOJVWNfX39JnEgrEOqBDSnnXJNu/H0vWV0kph7FuQCdwlRDiW1LKCMU9P1Ptzwew4kcuTsiOEGIX8CjwEqxg/GKdnyn1ZR7cO1Pqzxy/d64H/pFmqb4nYZE7F/hsjvZz/b457kjM5n4W+HGa9fMuQAIfwXq+z3kSA6D/Ab4qpfxCYvHdQogq4KNCiB9gTRhdK6X8dmKb+7GsWu8Evi6EWII1uHqzlPL3iTZPYh2LVwN/SSQoORc4RUr5SKLNQeCfQoiNUsrHCtTlvOR6Nwsh/Cz8YzDuM0kI8XUWfv8B3g78Rkr5RQAhxL3AGVhJeK5igR2DxDvkw1iKzBDgSFtXyGv+zVixuIullAcTbUaAHwohrkv3/slGWaymiRDChjWD8FUs95Z8rEt8P5WnzXnArekuNMBNwFohRP20BZ0kU+xPNt/GGrT/Mm3ZOmAE2DUT8k2RdeQ/1tmcB9ydGBwmuQkIAJvS2hTr/Ey1P88CX0sqVQmSg/bkrHWxzs9U+zLX752p9iebOXHvJAasp2NZnVJIKT8hpTxnnM3m+n1zPLIUa4b15uSCxHPg78DLiiXUNCgB/g/4S9ZyCVRhueb4yOxnL/AvRvv5osT3rWltdmE9H5NtzgM6k4OrBPcCR5kjxyvPu/kUFvAxmMQzaUH3Pw0nliwAJNyy+7GeswvxGFyA5fHxMeA7WesK2d/zgMeSSlWCm7AmE19MHpTFavpciaVJfwlrxjkf64AQ8HkhxKsBN9aL7oNSynYhhBcrO9XurO2eT3wvBw4zu0ylPykS/TkVK8g7ffC0Divm4vdCiPOx3IX+CHxESjkwY1LnZh0QFEL8B9iINcv3LeCGLBmTLAfuy1qWOvaJ2Y5inp8p9UdK+f0c+3hl4jtpASnW+ZnquZnr985U+5Nijt07a7FcLoaEFdP2EqyXzPex4hmyC+fC3L9vjkeSNbpyHfMlQghjvHi5uURisPSBHKteCRzEih0Dyy0qneexZqXBOhbtUsqhHG2Wp7XJOFZSyriwYiGz650Vi/HezUn5FuoxyPtMYuH3P8n3gM8IIf4KbAUuBVYDn2JhHoMtWFaiPiHEtVnrCtnf5cDOrDbdQoijTHBMlMVqGiTiBj4FvGuiILYE67BmHQawHozvwxpQ3ZMwe5Yk2mUPmpL/lzCLTKM/6XwEeECODYxehxVo+SSWb/Snsfz9bzpGcfOScCFZBQjgR1izD7/Fcim4epzNSsh/7It2fqbZn+x9NGH5I28F7kksLvj5mWZf5uy9MwPnZi7dO1WJ7//DUr4vwBrAfJrRmJZs5ux9cxyT75jrWIHc8xIhxLuwZpG/gtXPUI731QCjxyDX9TmdNkVjgnfzQj8GEz2TFnr/k/wAeAArnrUPK87wainlzSzAYyClPCTHz8RayP5O+5goi9UUEULowE+Bn+UYEI3H14HfSinvTfz/byHEdqx6Kq/HSjQA1sx0LnLNFs8I0+xPclsBnI1V7yWbKwFnWlzM/UKITuB3QogzpZT3H4vcE3AhsF9KmZyRuE8I4QOuFEJ8RUoZzGqvkf/YJ4MnC35+Eky1PykSStXdWIOqN6ZZRop1fqbalzl77ySY1rmZg/eOPfF9p5QyqUjdm4iH+rQQ4oYclo65ft8cjyzIYy6EeAtWQPqfsBIYXMXEfZzo+ky2Ge+YFPVYTeLdPNn+zddjkPeZhDWBtZD7n4yZvBNrAu99WEk8zgOuEUL0sfCvgWwK2d/J7CcnSrGaOh/ESv36ioTvcxJNCGGTUkazN5BWAPqOrGWPJG6M9cBfE4v9WZsm/++fEclzM+X+pPFqrGxmt2avkFlB+gnuSHyvB2Zl4J4Y/N2TY9UdWNlflgLPZK3rJ/+xP5q1LFebWWGa/QFSqbBvx3pBvURKmTKfF+P8TKcvc/neOZZzw9y7dwazfifJXVhJKhYx1v1izt43xzHJY+oH0oOr/UBMJsoTzCeEEP+DZXG/GXiLtFKt9wNOIYQ9K5bUz+gxyHV95mpTN04bmWN5Icn7bsaSfSEfg4meSX0s7P6DFWN2BvB6KeUfE8vuS5z/r2ClHV/oxyCdQl7zk9lPTpQr4NS5CMu/uxeIJD7rsbKQRIQQi7I3EEK8UQhxVtYyDcvF6UjiZdcGtGZtmvx/Ni/sKfcnjZcBt2fPygshbEKIS8VoOtAk7sR33qyDx4IQol4IcVki8HWyv72LPMe+mOdnmv1BCHEy1gA8BpwppXwqbV1Rzs90+jKX753pnpsEc+3eSVrcHFnLk7PGuWbu5ux9cxyTTHiS65jvZJ4hhPgi8DXgV8Br01yAdmHNKGenkG9l9LraBdQKIdwTtMk4VglL0SKKf33mfTcnPgv5GEz0TFro/QcrIy5YHhrpPAB4sJ7LC/0YpFPI+z5XmwosN8C8x0QpVlPnPVgZr9I/O7Fmnjfx/9u7nxCryjCO498oEKJFLRKsFpLJu4gwcDAoN8LAwDjFQM6qjCQYtIUajJENRtFCEiEUCtSFEDSouCmtaDEthBKihQNRPApatFCCFkHLxBa/93jPXA/z557u3HPv/D4gw9w59zrPeec9533POe/zVC/G3gMcyw1XGEWDpUv5+1ngxTQ/z/448HNE/Pm/RjBfJ/EUg9sh7u3w5LtcHwDvt/3oZXQw7GahyjVovcurFf/31Yi4VfGeWWA4J0IojAN/oYKMxTa9aJ9lx5NUr+Yb4BZKjDAvu1wP26eTtmly3+kknqb2nV9QxrH2RxO3o2PAbxXvaXK/Wa2uAX+gfQxAUu267bQem+0LKaV96JG/Y8DrbU9P/IAKdpbjfAQ9XlvEOQvcTytxDymljWjhf3mbdSmlLaXP3oYGT73eX4udm88w2PtgsWPSoMcPrYshL7S9/hzwL8qaOej7oGwl+/0sMJRSeqK0zTg6D19iAffdubNg4ipbgpTSFeBKtKqhbwAeLdZIpJRG0ED3DHAaZRT5EPguInbkbTahbCgXgVMoA85bwERErGi9l8Xiya+tR0U/xyLiq4rPmESDzuPABXQieA/4JCKmuvz7z6Bib9PomeQJVONgPCK+rGifdXm7OZTSdhMa3L4TEUfzNj1rnw7i+QKdfHaiNir7PSJu9qp9Ooil0X1nufHk96yngX0npfQaqixfrGUZRuu99kTEiX7rN6tVSulNtA7pMPA9yq63FXg2Iq4v9N6myH9bN9DAcrJik59Q0dR9qO9dzV8fB56OiL/z55xDhbWn0J2fw6g2zuaIuJ0vclxGd4YOoLshR4EfI2KsawF2qOLcfIQB3gdLOCYNdPwAKaWLwPNoXdmvqKjtQeB4REwN8j5Iygo4FREPlV5bkXhTSg+iyf0/KBnVY+jxy9MRUZWx9C7fseqOQ5SuLEfEt2jw9RTK7DWN6lLsLG0zh2bYT6J1I2PAroYMPubFk63NXyuzt0TESVTxehsaHE6iAfHbXfody95Ag9L96Ln8IVQst6h90N4+N9EB+wF08J4EpovBYd6ml+2z5Hjy1elRdMVmJr9e/vdKjqdX7bPctml631lWPFkj+05EfIaKIm5FKe13ALsj4kTepN/6zaoUKrdwAPWR88DDwEi/TKqyEXRH+BnuPYZdRjG9C3yMBk8zaN3DcDG4ynYBZ4GPUCKIOWC0SMQSSubzEpqAnkTJci6gftAPBnofLOGYNNDxZxPoouI08DV6RHQvrWytq2EflK1IvKH6jMOovMPnaGL7KbowuCDfsTIzMzMzM6vJd6zMzMzMzMxq8sTKzMzMzMysJk+szMzMzMzMavLEyszMzMzMrCZPrMzMzMzMzGryxMrMzMzMzKwmT6zMzMzMzMxq8sTKzMzMzMyspv8AkHtPNhmE7IMAAAAASUVORK5CYII=\n",
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