{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GLM: Mini-batch ADVI on hierarchical regression model\n",
    "Unlike Gaussian mixture models, (hierarchical) regression models have independent variables. These variables affect the likelihood function, but are not random variables. When using mini-batch, we should take care of that. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "env: THEANO_FLAGS=device=cpu, floatX=float32, warn_float64=ignore\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "%env THEANO_FLAGS=device=cpu, floatX=float32, warn_float64=ignore\n",
    "import theano\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pymc3 as pm \n",
    "import pandas as pd\n",
    "\n",
    "data = pd.read_csv(pm.get_data('radon.csv'))\n",
    "\n",
    "county_names = data.county.unique()\n",
    "county_idx = data['county_code'].values\n",
    "n_counties = len(data.county.unique())\n",
    "total_size = len(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, 'log_radon_t' is a dependent variable, while 'floor_t' and 'county_idx_t' determine independent variable.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import theano.tensor as tt\n",
    "\n",
    "log_radon_t = pm.Minibatch(data.log_radon.values, 100)\n",
    "floor_t = pm.Minibatch(data.floor.values, 100)\n",
    "county_idx_t = pm.Minibatch(data.county_code.values, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as hierarchical_model:\n",
    "    # Hyperpriors for group nodes\n",
    "    mu_a = pm.Normal('mu_alpha', mu=0., sd=100**2)\n",
    "    sigma_a = pm.Uniform('sigma_alpha', lower=0, upper=100)\n",
    "    mu_b = pm.Normal('mu_beta', mu=0., sd=100**2)\n",
    "    sigma_b = pm.Uniform('sigma_beta', lower=0, upper=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Intercept for each county, distributed around group mean mu_a. Above we just set mu and sd to a fixed value while here we plug in a common group distribution for all a and b (which are vectors of length n_counties)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with hierarchical_model:\n",
    "    \n",
    "    a = pm.Normal('alpha', mu=mu_a, sd=sigma_a, shape=n_counties)\n",
    "    # Intercept for each county, distributed around group mean mu_a\n",
    "    b = pm.Normal('beta', mu=mu_b, sd=sigma_b, shape=n_counties)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Model prediction of radon level `a[county_idx]` translates to `a[0, 0, 0, 1, 1, ...]`, we thus link multiple household measures of a county to its coefficients."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with hierarchical_model:\n",
    "\n",
    "    radon_est = a[county_idx_t] + b[county_idx_t] * floor_t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we specify the likelihood:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with hierarchical_model:\n",
    "    \n",
    "    # Model error\n",
    "    eps = pm.Uniform('eps', lower=0, upper=100) \n",
    "    \n",
    "    # Data likelihood\n",
    "    radon_like = pm.Normal('radon_like', mu=radon_est, sd=eps, observed=log_radon_t, total_size=len(data))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Random variable 'radon_like', associated with 'log_radon_t', should be given to the function for ADVI to denote that as observations in the likelihood term. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the other hand, 'minibatches' should include the three variables above. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, run ADVI with mini-batch. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Average Loss = 1,123.5: 100%|██████████| 100000/100000 [00:27<00:00, 3692.56it/s]\n",
      "Finished [100%]: Average Loss = 1,124\n"
     ]
    }
   ],
   "source": [
    "with hierarchical_model:\n",
    "    approx = pm.fit(100000, callbacks=[pm.callbacks.CheckParametersConvergence(tolerance=1e-4)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the trace of ELBO and compare the result with MCMC. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1169a56a0>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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5U5GRkZo1a5b69OmjzZs3N2lrNQcKXbrzj8ubLF++5ZD+84p+wfugAMbNeUo4ALQPpxTe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\nZrQ9npGaxyUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1165f8a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "plt.plot(approx.hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2500/2500 [00:31<00:00, 82.77it/s] \n"
     ]
    }
   ],
   "source": [
    "# Inference button (TM)!\n",
    "with pm.Model():\n",
    "\n",
    "    mu_a = pm.Normal('mu_alpha', mu=0., sd=100**2)\n",
    "    sigma_a = pm.Uniform('sigma_alpha', lower=0, upper=100)\n",
    "    mu_b = pm.Normal('mu_beta', mu=0., sd=100**2)\n",
    "    sigma_b = pm.Uniform('sigma_beta', lower=0, upper=100)\n",
    "    \n",
    "    a = pm.Normal('alpha', mu=mu_a, sd=sigma_a, shape=n_counties)\n",
    "    b = pm.Normal('beta', mu=mu_b, sd=sigma_b, shape=n_counties)\n",
    "    \n",
    "    # Model error\n",
    "    eps = pm.Uniform('eps', lower=0, upper=100)\n",
    "    \n",
    "    radon_est = a[county_idx] + b[county_idx] * data.floor.values\n",
    "    \n",
    "    radon_like = pm.Normal(\n",
    "        'radon_like', mu=radon_est, sd=eps, observed=data.log_radon.values)\n",
    "    \n",
    "    step = pm.NUTS(scaling=approx.cov.eval(), is_cov=True)\n",
    "    hierarchical_trace = pm.sample(2000, step, start=approx.sample()[0], progressbar=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "means = approx.bij.rmap(approx.mean.eval())\n",
    "sds = approx.bij.rmap(approx.std.eval())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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E6uz0s2OXh0MVPkwTMl0W5hTbycrUsRQiMnCulFhuu2oKl5xo5ak3D7H9YAM7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\nx8ia1+n/3cNEN2+i5M/+HNXn59bFNfz7/+zkubd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+jZF1bxLfuYP4zh04Z8wk/7Y7sNdM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Kr7iLKLCEWXmFV9JC9EuSuLeleuS3KmLPwXqoDoljtmNeQeHQREsx2i6Q7IElJMQd6WRNmRRE6/\nuwobrbr4z6x2Z4opElJJRzR9sNaMNVSZ1mgeZyhL9vwi+oqF9sk+lLEuoWq7GterGWZWU8yvxnHb\nEmoUoooAJQpRRYgeBejCRxVR9/ciQo0CTOFjRD5G6GFGHkbkkQgdEqHztp83QEJFEEgys8VBvGIC\ntUcjyqigqQShhKYIdDXEDxXcQMX1ZRxfJaBLhkzVZ1dvlULCJoxgbiVBq6WSzgTk0i5J/XYyKpyQ\naNYmmukQTttgh+vXx+5Ps1oscT05wJKTxhUZUmaC3QtvsPX6CZQoZN4s8P38YebifcgiZH/zKlm/\nyfWe7WhDI1iOz2KlgwQ8fnSIT907zsmrK7x0rszF6RrQVX8fPTzEcCnJn37nCuVqh758nL/3qV1M\nDHQfXHidOVorJ+jUznXXipokVTxKsnAX3swS5S//Ad7CAmpPD72//kUSu/e86xrZxA+HzfzizsFm\nrN5/bJKsDwE2N9adg/c6Vh0n4Psn53j6xCzNjo+uyjx4YICP3T1ym7vXBwH/8iuvcm2hye/8t/eT\njusErSZT//RLSJrG2G/9a5RYjMjzaL/2Ko3nnsG+fAkAOR4nfexe0vfdjzE69pZ9ZKHfobbwNJ3a\n2fVhqACyEkM1CwROlSi0kGSdVOkY6dK9+HaZ2vxTONYC55eK/NXZHYS3iDGy1CVokQBZhpFSirip\nsljprA9pvhVm5GIGHnU9Rb+zSi4bJz0+ymh/hrG+JLYbcmG6zulrFcoViwFnlR3tKfZY0ySDzjte\nOy9uMl0osazmWCTP3XuqbB9pMbma5S/PbO+qJlZAwauzr3mV3dYMIRIyokszZXCGc7THe2imMtTD\nODXbpG4bVDsxaraJeNMgWkWKkIjIiA479CV2Z5Yo5mzECxVEI8DZX+RC0EelZpDJRyTHur1bbVcl\nEjJeqOB4CgvNJHag0ZdsIysQBRDaEXhRd9yYLJAVCUkFWQFNF2hahKYJdCVEUyI0JcRUQ2JaV72K\naQHxNSVLlbu3K+FFBMerhKfX+q4UuFEF6Kka08l+zhmjXI8P4irdHra+oMKvTX0LN2ay8vGdFDMO\nKcNDVW7eAm1foeXoVDsm07U0TcfA82U0y6E3qtMfa1LIucTyElpaRtIV/EjGDRQWmwnOLBSZqybJ\nqR16jTY9ukVWd0jqHgnDxzQjtBhIhoyk//hVzreCEAJsgah4hIs2YtVFtAJEO0DuM1G2JvCG06y4\nSRrLMr2n50gvryBkhfL2o3wjHKUqDNQo4EjjIkOdMmcyE1xJjBCtzcNSZIntw1mO7etHiiKuzDV4\n5cIyrh+iqTJHd5YIo4jj55eRJPj4PaP87P3jaGr39YHXoLXyCu3V1xGRiyRrJPIHSebuovnUs1S/\n/S2IIjIPPkTh57+AEn97FXITPxw284s7B5uxev/xgSRZp06d4rd/+7f5yle+8q5/u7lg3h2bG+vO\nwXsVq2bH4zuvzvLd1+ax3YCYofLRuwZ57Mgw6bj+7gf4CaDWcvkn//YFdo5k+dIvHwZg+c/+A/Xv\nPk3xl36F2NZtNJ57ltbxl4jsbp9UbOcuMg88SPLQXcj67ecVhS6dxiVay8fx7cX130uKSSLXtYNu\nV08TOMsgySQLR8j0PoAQPpXZ73Lh+hznywUuLPdiud1ETlMkJgYzJGMagYDJuTqtzpuHCwsypstE\ntkpfa4Xs9DI9rRqxyKO16wj/j7eTicEM//Bn93D6WoUzkxXOT9XwPJ+xzgKHW1cZsxfRwtuHFku6\njjk2jjk6BoMjfK9eZ+rVFaa1XhzFQJYifuHARXb2Vql3DObPS+RPTZNzrNuOFWY05IM59CEDOa2u\nu/CtXz87xF/2qa8oXIsK1GNZDDPCj2TKzSQrVoyWa7BBmRMCGUEkvWka808QMhGxyCXvNkgFHZKB\nTTLsYIYedTXJnFliNt6LLENC90kZLtm4SyHRIR9z6D93nfSVZdxDJbQj2Xd0RRSiW3pXsw0WmylW\nrDj1joHlqehKSDFpk405JA2fuOYT1wIShv+Ox4xCQWQLIidCcXxCDxqhiewGGLaL4bkQCAgFIogI\nZRnpYA6zcLMusOPKtBtwYbHIqpTm4ECZiUITIaBS0bhWzRJoGqYWYmoBphp0e70Mj5gWrg8Mfstz\ndsIu4WoF3VlySRWyGmLaxn9+FdohQcLg8q67+X5nlJYnY4Qed9fPcTiYpzq2l+8xzLy9sQRRAnrz\ncWKGwkrdoW1398NwKUm97dLq+AwWEnzxk7sY77/pjBiFLu3KSVrLxwn9BgCxzE7MaIzKV76BNz+H\nmstT+tVfJ7n/wDuunU28MzbzizsHm7F6//GBI1m///u/zze+8Q1isRhf/epX3/XvNxfMu2NzY905\n+LvGqtp0+PYrMzz7xgJeEJGKa/zU0WEeOTRE3HyLRowPEL73+hx/8tRlfumxbTx+ZBh3YYHp/+mf\nIcfjaLkc7uwsAEo2S+YjD5D+yAPopdJtx4kiH7txGat6Bqd5lVsHPunxQTIDjyJJKo3F7+G2pwFI\n5PeT6XsYlBhvnH6B4+fLnC/nsf1u6Zm8ZpttaDLum/qKFFlaN7cwlIDDQ0s8WLyGeq5KeKHVdcYz\nTbIPPUL2o4+zKgz+z6+eotJY6xuLfA43LnGgM03eqSGJjcdXcznie/YS27Ydc3wL7XiO169UOHFx\nmcmFm26FRuSyI7nM40cXSJk+wg7xvraAqPpYisGylsPRDUb0KonVFsqBNNr9hfX3EUIQ2RHhogtX\nW1iLEXMiz2uZncwlelEUUOgSLF+8/VqSRNTVxm5RE7uDeh0KiQ69cYtS0iIZD9CVEF0JUeUIWV4r\ne7R9ZMtH6gTYHZmGp1P345TdFItehpUwSVuJEw9cSl6Nglcn57dIhDaerGHLBo5iUNeS1NUkgaQg\nJJm2GsNW3l691SKfZNAhtfbT/bdFMugQC11kGQQS0c4M9MUgqXUrPLtXD1MKiBsBph6iaxGaHKHI\n736bDCOJum1Qs01aHQ3HlQkCiYZnMtdO03Bj2L7MruQKd8nXGJqcgkaw9q7QVmJUtDR1I4Wv6cR8\nhx6nQdGtoW8x0R4pIN2y92tLEieni7zSGqeYsvnZvZcpJBxEKHCvdpg7ozLvZpkzi8ybRTpqrHt+\natd2f6zgMFgI6E+1yepNFGFzQ959K/OSyF3rqVub2SWNxbmybTtPzO/A8gziuNxrnePw6mWkHfv4\nujfIpShL3FDpyZgs1+31PkfYuN80VcYPumrnJ+8b5dP33VS1AISI6NTP01p+Ga+zANAdbDyj0PhP\nz0IYkrr3Pkpf+OV1I5xN/GjYzC/uHGzG6v3HB45kPfnkk+zYsYMvfelLmyTrPcLmxrpz8LeN1VK1\nw7denuals0uEkaAnbfDT94xy//5+DO3tm+M/SPitr7zG5HyDf/Nf3YuxcJ2l3/89wmb3KTSKQmL/\nATIPPLjByvwGhIhwWtfp1M7QqV9ERN6G/x9L7yA79DEQAfXF72PXLwBgpreRHXiUpWac5147w4lL\nTZpuVxFTZUCSCG7pK1IVCV1TsN1gndwossS+UZ37xubpqZ0hPFklutadh9VS47yS2U116yGKvVlm\nyi0WVi1KbpUxe4m91jWKTm1d7xFAFDfxR/tx927FGxsgSpisViIuXw2Yn/VpO/KNk2bAXWWbNcvW\nXJXBj6jI6W4y3akKXvhOCl/I9GU6jA11yAxLYIf4f7mAlFbRvjCIiCRqVY3FWozVVoyKFadqx6io\nGVxu721S5ZCcZpOmQzqwSNltkp02aatFOrRIJ330gkrUG2O1t8SCm2G+kWKmlqZm3zQcKCXb/Oye\nqwxm2wShhO0rLDQTLDTTlFsJVtsxanaMUNxeGhcLHbJ+m1RgkQ4s4oGLrWhU1BShpKILn0xokfQt\nxu0yRa+OjGDeKPCDnoMsGgUCWUMiWu9hE9KPpwRPkgSafEMZCjHVrkJk6iExNVhXjEw1QJYFtqdQ\ntWOstuOU2wks73Z11gwdDravsKW1QJo2TsIk5vnEHBvd7yo9vqSwomVpxJOESYPx/QE946xbvgME\nczYvXO7nWX8X944v8PDEDKoisBwVqe6gLbSJFhwqyyrzaoF5s8RcrMSqftN4xlADRnMNRvMWI4U2\nxUQHb9mlNi3okVrEMhJSXkPK6oiGj//sKmLBAVVCOZzF2V1gst7DfCNF09HZri2yp30dz03ydG2E\n87FxHjo8zH37+phZbnNlts7l2fr6HL83I5fS+W8+u5/xgY3zvoQQuNYMzfKLOM3uIHBFyRC8XsN9\naRolkaL0K79K6q6j70ncP0zYzC/uHGzG6v3HB45kAczNzfGP//E//qFIVhCEqOqdkURuYhPvNa7N\nN/iL717mhdMLCAGDxSSf/+g2Hjo8hPrm6bgfYCxVLP7+b32HnZmIX5z/Ds5S1y1MNgyGf/EXKD36\nMPqbZmMJIei05qkuvE516Q0Cr3vzkGQNEXWTzUxxN4NbP46qx1mYfJrV+VdARCQyIxilx3n1msyT\nL01Srt0gZRtHyMZNlY6zsYxLkmB8IMOBbUUOjElkgjeonniR4PUaYrGrTsXHxzAe+Smeaud54WwZ\nzWoybi+wvT3DqFNGi24eU0gSoq8H/9AOavv2ULFVarWQpSWf+oJFpyPorCkwkogYscvsbE+z3Zoh\n7Ilh3p8l3S/d8M2gM+fSmvPI9yuoAyaS1l0HvgdzX+9QdlLMDg7RCGNUohQ2G2cIyVJELubQo1rk\nRJuc3SDXqJGr10jZa25zEkg5DbnXROo3kHuMbjKtvvWaCyM4OVfipelBDg6ucN/YPIosuFjO88TF\nLTScjQqTFvn0eA3yfouc3yTltYhFHjLgKDqreoZ5o0RFT+PKOkgSAgkhSSAEO6xpPrr6KumgQ0NN\n8J3CUa4khrsXSAjMyOvOnooCVBGgiaD77yhAQuDKGkFMx1c1PDScSMNGQ7zJ9VFCENe7ZX+m1lXm\nVBEhJAlfKASRjBfKuJ6CE6g47zq8+cYaEyR0j4TuY6ghCIHjqdRdEy/cqCLGA5ter0bJrdLrVsl5\nDZKh03UXFP76J47Gk+iPFFFjEoEP6hqHdhZ8nrq2hetRL5/aeYWJUoMwhNdmS5xoDTLsrHLXyhzZ\nlXkU18WKDGZivUzH+plO9VOTbyYRcc1nLF9nS0+dKIQrZ2OM1+bY07mOGReQ1ZBMhWjGBidEymio\nD/agjHR7o4SAmm0iIcgYDlE9YGYpwUWxg0994jEO7eya4SzXOpy/VuHk5RVev1im3t74UKWQMfnc\nI1s5squPvp74hh5Nu12mPPUM1cXXESJEjjS8V1cITtfpuesetvyD//K275pNbGITm3g/8YEhWZus\n/N2x+fTizsEPG6vLs3W+9fI0pycrAIz2pvjkvaMc3l78iduw/ygQQYB15hRf+94lvuf38cny8+x3\nZrtJcxgy+j//bxh9/RteE7g1rNoZrOoZArd7/pJioqhJAncVAD0xRHbgo+ixPprlF2mtvIyIfHyp\nyOnKEY5f9Vmu3e7mlo6rpBMGHSegeotxRTapc3BrgV1jeXaOZNHFMo25Z2mfeJ3wjcb6fKv26BDn\nhvZy0iqQXFlhwppne2eGHm/jgNsIiecL+zmV3EZsABxXo9OUyDktzMjDUuLU9W7yKomIUXuJLdY8\nSSzaeRNnVGVsa8hW3UeWIPQjFE1G2AGYCqGQKbcSLDSTLDSSLNYSLFuJdYOBtatPLubQm7Aoyk0K\nTo1iZYXsahXJCjZSgbiCPBJDHokjF43b5lqJUCDsEOJdR0SApq2y1EpyYbmHc0tFRnNNPrFrklzc\npW4bPHFhC5eXc2u2G2tYS4YlERELXTQREEgKHcV8W7VJEoJEaJMKLPqdVQ41LlP0G0RIXMqO8lT+\nKLYcIxs1+YT/KsMrC0jOxpLMupqAmEKqV6BtT6ANmhsMJoJQAknQdExW2nFWrBgrrRjleoIVO07I\nxgd9Oa1Dr9Kgz2wykGkzNOQQT3YNUlxXxrZkXFnDETqOr2C1ZNpL0GqptCUTy9qJzlEAACAASURB\nVExgYdD2Dfzo7R8iqlKAiCCUNhIvJQooejX63Bq9boV+p0LRqyHrEtr9Pai7UohIENoCNdE9z5Vl\njW9fn8Aw4JM7rpCIhQT1gCvHVc61+qj09pPs7WVbfZKtC6eItyvQ8GmoiS7pSg9y3ezHkm4S5nwy\nRJMjVhsyW61Z7g/OU6yu3lrBC4A8kSa8d5SmIpMxOhsGWN94eCAisP04+d5dpAp7MBNDSHL3vGtr\nZdIvnF267aFIT9pg91ie3WN59oznSca67DLwmmsmGa8hIhcCCM7Wia74lD79S6SO3fu+D2K/E7GZ\nX9w52IzV+487XsnaXDDvjs2NdefgnWIlhOD0ZIW/eXmaq3PdMrodw1k+ed8oe8byd1RC4C0t0Xj+\nWZovPk/QbPL/jnyGlpbgf7lHQS4vUv/u0+Q/8SkKn/t5oDvTqlM/j1U7g2fNASBJKmZ6ApCwG1eA\nENUokB14FDM1QbvyGs2l52h1PF6aGefCygCV1sbszlR9xgs2ip7hWlmh43YTNEUGWe72e3zhkQk+\nds8oQgic5lXqUz/Afvk8wdkG2BHIMtXxfbyojhLVq0xYc0x0FjDXShZvaGMRUE738mp8gsvxUXy5\nm+wlfYsRe5EVI8+KkQdAFhFD9jK5oI4U77A64NHoc0h4AfcEIXsHTTRTQXghoayw3Emw0Eix0Eiy\n0Eyy3I4T3VJqp0ohJbtKX1ilf4tPyamSX1pBq9oIO9pAqIQuoWxNoIzEuwOGEyqSunFteYFMpw7m\nhVVky8PflmMxU2KxefMz3FCn0obLT++8xu6+CmEEF65lmDylo/gBtmJSNvJU9Mw7l+wJgSaC7rUU\nMNZZZFf7OqNOmXjo4KHgmgYpt4MkoFXK8vX0fcxRwBAex6pnuat+ETcTo3XXIIPxFpysIOacGxeo\nO1C5z0Re+5HMW3p7QoGoeXQshcqKRt+lGa57Pfx5/+PrwlRObbO1r8lqJ8FiLY4jNpb65c0OA4km\ng+kWQ6UOfSkLTYkQXtS1kV8jrVHLJ7pmEV7rIBYcWhmTzmAPfi5JK5aiLidouCYN26BuGzQcY0Os\nb71mt/bFSSIi7bcZdspMxCsMH5XoKfqIhoewI5T+brwWqnG+PzXKtp4aR0eWkCQIL7bwX6xQDRJc\njw8wFetntb+fPtPh7sYp+muLsGR3lSgtxbX4IJPpEWaNEsGalnZjUEJOcvhMapL+uYtEy7eYsUig\n7EnRPtzPiYVBmo7BYKbNWLZOb7qDfNspSih6BjM5RiJ/ECM5jCRJXJqp8QffvECleftDFEmCLf1p\n9m3pYd9ET3d8ReTSXn29a5IRtBCRILrcRrN66f3cF9Hy+bdfl5vYzC/uIGzG6v3HJsn6EGBzY905\neKtYhVHEiYvLfOulGeZW2gAcmOjhE/eOsm3ozilriVz3pvX6lcsAyPEEtUMP8e/KBY7t7uXX9sWY\n+a3/Fa2nwPC/+Be49hRW7QxOc5IuTZEwU2PEsruJ/A6tlZeJQhtFS5Hpe4h4fj9W7RwXLh7n+LUk\nV1bztN2bya4EFBI2e/vLbC00eWWml9MLJQQS2aTO/okCu0dzfPuVGaaWWvzs/eP8zEdG6dTOUb/w\nXZzjk4SX2hAKQk1jMjNOJdAYdpYZcFaR1+Zt3Vp0OGcUOZvewsXEKMnQYcybJx52uGyOsWQUblFv\nBHmvgSm3sYsWbrGNFo8YWO0wVK6zLYroOZrBjseZraWYa6SZradZaCY3DKVV5Ii+VJv+VJsBpU6p\nuUL+5CxycPsgYFfW6OSSpHboxIZV5IwGqrSBsIeRxGo7xpXVHNcqOeabSRTb5Z7oCvVigbkwx4oV\n59YyOI2ASBLcPVLm4a0zGGrEfDXB189vY9naaDAgi5Cc3yLvNcmuGVjEQoeKlmUq0ceKnr/NSCPr\ntxjrLJCX22xNV8gvrIAV4sd1vlc8wkl1AoWIo/UL3FM7y7KR51RxK9JYjLFsm209NbJxr+uK50ZI\nyTcpc02fqOwSlV3sSkSzIpFyOhiiS8I9SUEXITU1STK0kYm4VBjncn6Mx44t0ZNwOD7Tz3cujJDx\n2shyRFNJdUsbb5y3FFFKdhhMtxjMthnONumJdZAk1l0eRSsgnLQIr7URNR+hgC0paDEJo89EGY0h\nCgaWFKPhmlQ7Maodk4oVY8WKU+nECKO3J68yEfmEzUC6zXiwyNZsjdSWLvmfrSQ5tdTLkaEF+jI2\noSvwXq4hnat355QhMW8WuR4f4Hq8DzUvcyy8wnBtCX2pBRHduV5mL9eSw0xmRqlysy9PVWUe7ocD\nratoZ14B17vxoZB3JGnuGeB7i1s5Xy6gSBEHCwsc0yfJ5zzkgo5kvFnhk1GNHGZqC8meQ5y8Dn/0\n5CWcW0wzkjENy/bXp+Kl4hp7x/Ps29LDnrEsknOR5sJzBEF3Rlc065BIHaTn/s8ia+8+f+3DiM38\n4s7BZqzef3wgSdaPgs0F8+7Y3Fh3Dm6NlR+EPH9miW8fn2al7iBJcM+uXj5+bJTh0p3hhCWEwJ2e\novHcM7ReOb5uvR7ftZv0Aw+SPHSYP/j2FV4+V+affH4fiT/+HQK5Ruqzx/DEwnpvlRbrJ5HfRzyz\nE7t5mebS84RBuzswuPQRovhB3rhwkePnFri+GttQYqXIEqWMxIG+aY4OzRAJiZemBnn++hDDfTn2\nTxQ4MNHDcClJGAn+3dfOcvLKKvfuKfELd7dpvPFdvBPzRFPdOVW2qlNRMmSCNqmwez5i7edGOrus\nZTmX2sJKLk+/UqO/OY/RDpjSB7mUGGXVyN64QGvkIeq+Wg5IZWbZ6V1m61KTAVnQGOpjId/HXCfL\nbD21wUACBKVkh6Fsi0GzQZ9XIb+wjLTYgWawYcZyBCwkSlg9KTITCqXhkFgyuk0BtT2F2UaaC+Ue\npqpZavbNni1JCFQpwudmeZoqh+RiDnroYTkaTRFnoljnp3deoyfh0PFUnr48xsWZDLHQIxl0GHRW\nGHRW6PGbpIM28nCMVxK7eM7djlC65Y4IwbCzzD7rCjuaM9iywfX4ABdTYyzEihScOo+unmDYWSGU\nZE7kdvF89gCBJHOoeYW76+eoDvfS2dLD2FCbnrjDW1XSCgFhCNKKTXiuRTRrE3YiFswCgaQy4Kxi\niO46DCSZQFcwXH+dUoamgiurmB23O8baUODTQ8R7FaYqaf7sjd24gdpdIWqIYVoMBC08N8ZSlCWU\nbq7VmOYznG0xnG0ynG0ykG6hq2vE/Qbhmmwjyi4YMsRUQlVCaXtIOb3bIzcURx6MISvdc2u5OhXL\nZLkZZ7qeZraRvt12/xYoUkhGcxjuabO1WCOmelTtOIf6y2iawK4K5l4JUecset3q+oMFW9aZivdz\nPTbASjzHXm2era1Z0is1pDU3wIaa4FJihNdyu2ko8XXirMvwoLHCgenjaM3qzfXWa9LaUuA7wV4u\n1rpOotuzKzzYPk1hbgl5wETZlkTqjyHp8sZhypKCouWYquf5xsk4K+3E+jmXcjFySYPFikVzbfyC\nBIwPpNk7nmd7qUOq+V2E2q0YELWIdN8DZHc9gvRjMkm5U7GZX9w52IzV+49NkvUhwObGunNQLKaY\nmavxg5PzPHVilobloSoy9+/v56fvGaGUjb37QT4ACNttmsdfovHcs3hzXet1NZcj/ZH7u9brxW7C\n1LA8/rv/+wUKaY3/evsbBPoyUrybwCt6lkRuH4n8PlQjh1V5g8bSc4R+kxCdVXGU67UB3ri6wlJt\nYx+GLEMxE6OYtDnaf5rRXJNIwJnFflbFQXaODbN3S57ULTPDokjwB988z8vny2zvFXw+/gOiN8qI\nle4TdlfWUKMAZS2pDCQFEKhrlusNLclMTz9hRifvNymurNByTS4mx7iUHKGy5somiQiVEFUXawls\nkpxoMewuMmUOkEv7pDSXVmCy0E5tUKkMNWA422Qo3WJQq9K3uoQ+20KseuC9SanKaLimgVFu46VN\n+OwwqUS4IREVokuqpmsZzpULXKvk6Pjaxj+ADSpSTPMw1ZAglLB8fUOpWiHR4WM7rrOtWCOKYHIy\nzoVzCTKtBnutKRJht4RLSNBWY1yLDXIpOcxMvJ9gjbjlvQYHrKsc7FzFsLt9cS01zvn0OPE9MQ6O\nLhMdryKudFXdS4lhvt9zF3W96yhn4rKvb4W9wxUGMm00ZeOtSgiodgwurvRwdSXPXCOFkEP29VW4\nb2CO3NwK4Rt1xJpN+tXYAPPJXrbFV+hvLCPVN5os3FAtb7yLBHi6QuLRAspEArcW8cxLBV5jAlcx\n1j+ErIXsHV7iUGGVlUqc6cUEc60MDfXmAxRZiuhLWeukayTXIm16CCsgvGoRXm0jltZ6B1W6lphO\nhJBgYXSQzp4+egsO+bizPpD5xjWwbIXLq3nOlkvM1FKoisCPlLdQvgSaElFKWtw7Os/e/m4fZDBp\nsfBKQNVNoIiIklcjE9ws/6toaa7HB5gxS6QUh53eLP3VMmrUXaeOpPJSbh8XUuO01fh6v+BwZ4lP\nVF4i595yz1JlnOECL6lbeCXaipAk9pQqHO1coHRlFtnqzudS78kh70whxdSuOcstZxFGEqtWjMnV\nHGeXCiy1kmQSJod3FIkbCpdm6lydbxKtrflkTGPXgMYI59gyvETCCMFVyAw+SGrwGLK8qWzBZn5x\nJ2EzVu8/NknWhwCbG+vOQLXp8OL5ZZ54aQrbDTB1hUcODfL40WGySeNdX/+ThogiOufP0XzhOdon\nX0cEASgKyQMHSd//IIm9+5BuaazwnVW+9sxpnjgJH985yT2jiwgnItl/F8nCQfTEECCwqqepLz7L\nSt1hstLDVHOUq2UV703lb5IkKKQ0gkhGFTUe2TbD7t5uQlj1h0gUH2bL6BjK7c0dCCH4w785zYlT\nCzzkneFw5WI3WWVjombJJooIMdeUDU83sYoF1LhKrFpDqTQo63kuJUe4kBqjrqVvvAGyJEgqUFAd\nBpxViu0yRqfFkz1HqKlpslqHuh/f8LmKCYuhbIuhTJMhvUauvIo410DUNqpUaBJSyUAeihH1xeik\nkui2i/KNGRCgf34QOa93k2tH5Xo9y9nFIterWbxAJh7a6FFAXUttIFQyIaYWEgkJJ9iYVCqEFNw6\nsohoxFPcv22Be0YWUGRYLmvUXuzQv7SIvuakeKO8bDI+yJXkEBU9t36spNxmj3uV3bUpeptdkxBf\nVtG3xVB3Jol6Y4QBWK82Mc9WUaKIsp7jO8WjzJkljhVn2DbUwDAF2ZhD4pbBvk6gsNKOsdiMc2k1\nz9RqjlDcIK63RFgSyFLIZ4zX2b6jjWb5BG/UEYtdEiMVdaJ9eU77Q9SuRAw1y4x3FtZJ95oWCUAo\nwVxfkcxdSfpGJSI3wvt2mZnVNBeTo1xMjq7NnwKJiOFck/vH55joaXCtGePCBQN3WacqZSkbPUS3\nuBpmTGeNdLUYzjXp1ZuI6Q7hueb6Z13H/8/eezVJlmVXet/VyrV2D5GRmREpKrN060arMWAwHANt\nbIY0PtCMf4BmfOAf4H+g8YVPfCBpfJghHzhmBAZAo6dhLdBdKquysip1ZOgID9fiasWHG+kRkVkF\nYAbdhSpULLOUHu5XnHOu73X22msbIk4px4fKZZ4UL3FrZcR6dUTNcjjbBSFNIYoEBo5OlAoMHYNH\nvSqbg9IJ6T6dE53CjP/i5iYrpRlRLPD0sID7LCDfG+BPBQIUjNin7Q9QT+SVMSL7ep0to0UoyrTj\nPldn+2hx9rotanxcuMq20SZQZbpyhcv2IX/Yf5diZJ9bh4lp8iC/wm/VdY61Mm8udfme+Aj1Xg+1\nl2Wb46KK9kYB6Ubub3G8FOjbJo96JZ4Na1xa3eD7ry4xnPpZg/DNAZMT10IB6OhT1tsj1htjlvMu\nxfZ3yTe/jSSbn/n5XxdcxBdfHVyM1RePC5L1NcDFwvpyY/Ngyl+8u8N7D3okaUreVPjDb6zwz95a\nwtK//LulQfeI6a9+yfRvfk00yqQ+aqtN4Qc/pPCd7yEXi4ufjYIpzvgT7OE9PPuI//kX38ALZf7H\ntV8gPejT/m/+B6zrN0mTiP7Rh3z06T0eHik8HZQZu2dtvk/zB+2ihxfKjByFuuXwk41dbjZ6CAKI\nWpva6h+j51Y/89zTNGUyfMz/93/+jObjTZa943Mm3aEgMZEtjDTEijJpYCxJhLk8QpKgzjJCcKDV\nuJ9f435uDft50JWmyKJAUYRL8Zi2fQiuzVwQOSw12Ffq2MkpeZbFmNXydCEXW8pNUXtz4vszkqf2\neUe2vIzY0RFXDKioCDkZZAlRPnFi82OCf3dAOgkJfrzEZmmZjw8bbA2LxOnzcPVluZiUZpmu6AW3\nPF0OaSlTGtMe7apLfe+QIyfHLxpv8srlKT+4soupRgTThORXfdjMskzznMWzzhpP0habSYNQyOaz\nlMSsOfvc9LZoJQMqsxlimmW4xpUyv5Bf4ZF1CVVL+JNb97l0cIj04QCcGEfRubP0Cul6gVvtPs28\nc04GGKcwcnQ+2m/wsFehNzdfsl5/eR6d/v3bs7v8pPsh/o/bFG8ZJEce0YcT4qc2AjDTDO6vLfFM\nWaLSnfGt0QOKkYMnKugn8tZzR7hsof7zOqIk8mBXIPx4Rrs7YZQWeZBb41FulfnJnNGkiJutAa80\n+rhKyvuBjtWfUTiMYawy1KvsqzWc9HTeKFLMcvFEYlic0kn6KJ8OSe7PX7rSUFXZU+vcN1aZVIq8\neWPIjcoAXYtBPK3FO5vA9EKR/3B/jc1hBUsNsAOVma/yarvPH17boqAHzDyVnz9d5c5Bg7LqspQO\nKc7HiHZAwbOpBRMawWk/OEfU2DJazBUTM/K47B5gxRlB9ESFrlLGk1T2zAZGGvLW6CF6EuAJCiLp\ngryN9BIfWld4ULjExtqc7+SfUXh4RPzYRkhSIkXmqNMmul6m0QmoWOezkGeRpNCbm4yCDp3lm1y/\ncpPDUcjHmwM+3hzyZG/MieoRQw65WhuxUZ/w6nqHzso3Uc3W5372P2VcxBdfHVyM1RePC5L1NcDF\nwvryIU4S7jzq8xfv7vJkP9P9L9Ut/qufbHBrtYjyJe/9lngus/feZfqrX56aWBgG+W9+m8L3/wD9\nytVFwBZHLu7kAfbwY/z51skniNwb3OL/fq/It6UuP3n451T+9X/N+LXvcufTT/hka8Lu2CQ9IQSS\nCElymrzpFGY0cja74wIDx2S9GfHPbxxQ13cQANVoU2z/CL2wca7mKElTukOHJ1s95p/+FaubHyHs\n28jJaXG8J6pMjBK5NMRysgL4VBCJVQUpCBDSlASBHaPFndJ1nhktgjOGBqoAVSlkPegiOHPcKOXI\nqGRNcM+Ql4Lus1qaslKasFrOrkcIE5JnNsnjOcmeu0iPCBUVccUgXjIZm0XyWoipx1kG65xJBYxt\njeQ/HJI/HvOb0i1+Xnsb4aR30zlilWbm6ekLNVk5xaddmNMp2bRycxreAOtv9sBPCBo5fjG9wr3C\nBtdWJvxkfZuSEZD4CfEHI8KPZhyUmmw2LvFUaNENTpvCimqElnO5HO7ynYMn1I/HCCcDmgIHtRZ/\nVvwWfaGEJMbIQsS10S4/Gt8hF7jEkohzo0HxOybqGb6dpOAnAoqQcr9b5U/vX8ENNQQhObnM87b1\n5+6BkJ5MKgFVDnlr6Zhvtvaw/t1jkAR6/+o6W1GeVs7lcjgivTshuj9DiE6//o6LOSw3xAx8/rzx\nTdQ45qqzz4p7vKhXQgTxsoW0bjEWdH46qmMXBFZGIzrdMYxVNrVlHuYuLQiXLkdcbwwwFJ9HiU5Q\nCMkLc5YPR5SPfFJPp1dssifX6AdnazSzOr2V4pQlt0tnb5+SfdLU+4U6vUCQ6Kll9gsN9DWFjesO\nRS1EkHkpA5SmMJjrPBmUUaWYkumzP7awtIjb7T6qlNC3DX72+BKfdqvn7nMRm3I4xfJdyv6Eq/Y+\nrWC4+Im+nKevlRFJaXkDCnGWkYqErDbPkQw8SaUaTJBImcgWc8mg6Q+QSUmBbaPFJ/krOMtlfri2\nRWd3n/jeDNxsbc/rNd7LXaFfrdMu21xrzKjnJuhy8qIR4+J6vSRPvnKNUnWdRO7wcM/loweH3H3Y\nZZqc1iW2CzNutGPeuLHGzY3XkOXzlvr/lHERX3x1cDFWXzwuSNbXABcL68uDqR3wy48P+fmdffqT\nrD7ltatV/uibK7xyqUyjUfjSjlWaJLgPHzD9m18xe+9d0iAAQcC8cZPC9/+A3JtvI2rZDnscObiT\nhzijT/Fmz3iehtGsFczyq2jFm/xP/9td+mOHH/bep9e+yqZYxj3ZaBZIqeUi5r6EG2bBXsV0ud3q\noYgxHx+1qFTafOOqzEbpAanzAADFaFFs/wijcA1BEJg6AZsHUzYPpuw+O8LY+YjX3SeUBkOE+PQR\n5ooqbq6KIrrkxuNFjU0qwPNSlgiRjypXuGet01WrJMKp5EzSfapyj8Z0Ruxq9JQK/TNyOEhp5u2M\nVBWnrJamlE521VM74nBP5afTV2g93eGHs7sIdRWxoyPUNcRLBgICaQyCLJwLBuMka966NSxyZ6/J\n/iTHH/Xf5dXpUz4sbPCz2tvwvFD/pUgypao6VIQZVuiyWp+zcc0mb0akYUJqR4R/3Sfd8/DzBv+2\n9EMGapG1ps1P1rdp5h3SKMW7Z3N/t8gTa5XNpIEXK88HEc0Ew0q5mhxya3SX5s4QyT2R8lkSXDJ5\nEDb56+RVRkIeRYj48eom3xQ2Sd4dwSQESUC6nUd+q4xgSvihQCKAJqXnMljHc4N7h3U+7Vbp29bi\n/2Up4lp9yLdWjugUZvz6sMlvny3juufNHwQhZbk45XJlQmnniBsPHvLLyuv8uvIaCCnNwpAfV7ZZ\nbXloz0bE96aL/mjjnEHe9oglkX//5nfZS5ukI4k1u8tVe48NexcjOXXPE2oavgsPhTb32qt0mzma\n6YDVSQ9tCIOgxpPCJWYnbnyaHLGijvDthEFFRqiHyHmXzsRg6fCIendApGkclFrsy1X2ZgWiM+Yv\nlhKwogxZrs9YVUY0xj2EHfulWr4UsDWTpG1iXFZRWzKyKSCq4sLxcDH3YpgHCoYSoUgpbiihKzGi\nAPuTHH/1+BKbgxKnFWvn368nPsXIpuqPuWwf0PH7VMIpCQLHWplAUChF80WdV4JAKIgoaczz7YKe\nVmJLb9Hy+qyc9MgLBYmn5hJPiysYayrflR9jPumTHpzUA+oS47UW7+jX+NhZwlBClotTbjYHXKrM\nMJUQRXrZiRNAlC303CX04nWOdxN+++d3eBTp7Iq1haRTlyNuLMu8fn2N1zeWvhJS738ILuKLrw4u\nxuqLxwXJ+hrgYmH94yJNUx7tjvmPd/Z5/2GPOElRZZHv3W7xR99coV09DQi/bGOVpines01m7/yG\n2bvvEE+yHXGlVs9MLL73fZRqDTghVuMHOONP8WZbPCdWitHGLN3EKt8mJMfjvQk/fW+Xe8+G545V\n0D2uVKaEiciTXgk/linoPrdaPW40BgycIo78OtfXltloOvjD3+JOH50co4lV/wHHTofNoxmbBxOe\n7Y/Rurtcdg+4GexQnk/OF8IjsGku8aB4mT/q/gY9CV8KBbtmiTvFazzVlplJ1hmSkqBLDo1wjBAK\n9KXyqUwQUMSY5RPZ32ppwnJuiqYlp9bc05B40yZ+apPOI6K6wf8q/0tiQeC/r/9HzIaU9W2SzmcT\nkgSGjs6zYYk7ew0OZoVzr9f8EakgMFSK5zJUYhpTTya05CnVdIo4D1Acj3bLp30tQV7VEQQhI1ax\ngNRzCf+qB2HKs/Iyv8rdJL+q8KMru7QKNmkC+7sqP99d44ndOL1uJUHNiVhWzC1xl42jTUrbXUT7\nREanicRXcswulbgvrnJ3r00Ui7y1fMSb7S65nQHxnTHpKAQBxBt5BjeWeObX2Z8ZDKsBkSSQpqB6\nIhVPoHhyrzfqo4W5Q29u0LMN2oU5lhZw380xjhRu6g4NLZOlHUxMBCklimSe9Ms86pU5nOYWM0CP\nfVbdIw6qJTYG+/zw+C5GEvBnre/CtQLfubRHYzokvjcl3rQXSbFYFPn5N27y+HKZaG4SDi3CoUHT\nHrPu7PJ29BRj6pwbt1CQ2NabfFC8zk6tjmz5tKMuZdshkkpspS2mQZa+k4hphUOMwCXMqUyWy0gV\nAU0MaR8fs3R4yJIzwKsWOKi02Q3K7I4KzILTYF8SE5YKWU3Xij6m4x6j705IDj2Ync92pYqI1NIQ\nrllIV3KIqkiapi+5UiYpL7k37o1z/HJzib1JDjdUz9TCZRsp6QvES0pjqsGEJfeYVjCk4Y/IhXNc\n2UBPAgrR6X2LBHFhOjOXdO4XLxOkMjfm21TDTMYbCDJPrSWeFpZZuhJze76F8uAYTppRCx0DZ32Z\nO/Il7vYqJ5LklCs1h5/cmGNKQ0xpjHGmOfJZCKKGlFjYd495tivwqLDG06TFxDu918s1hdfW27yy\nVmF9qYiqfLlVCv+p+LJ9Z13g83ExVl88LkjW1wAXC+sfB3M35Nf3jvjrD/c5HGTBQadm8eM3Onzv\ndgvzM+qtvixj5e/vZ8Tqnd8Q9noAiJZF/u1vkv/2dzA2riGIIlEwxZ08wp08OMlYZY8F1exglm7y\nke1zONQ4OIo56ib0+gmnT46UtcqEG40BzZzDg+MKH+y3UMSY1zvH3G73qZgee/4SXvEShbKKf7hN\nWzokL2b1Jn0vx52jZe7uV5jPoBzOWHMOuewecMk9WpgunEVgaPxWv8Y75dssez3+9eHPFzUejqzz\naWGNT601ukqVWDwNiOQkoBxPEVKBoVwkEk8lQTnVZ7Wcub+tlKY0jRlSkoAmLoLRZBRkUsCuD7qE\ntJ4jMSXo+4iWhFMqYJox0gsucGNb5fGgwnt7LY7np4T88yy41SSkGozpBH1awoRSOCXwIBA0lDSi\nKU4oXZORb+URCtkcdEbgCwol0yf61YD40xmJIPBO8Qa922v86MoujbxD0GyLTAAAIABJREFUksKn\nhzX+enOVnm0iCgmFvEuS86mXprzuH7F80MfcnmbSNABVIF7LkVwtoC5r7ExKTD2VdsGmZrkoRMQP\n5sQfjElnEakA/U6Tj6sb5A6HvDZ4zM+rb/Fh8ToSEbIR4Hs6vNCA11QDfnB5l9c7x4uMCpwG/2kK\nOyMLRYJWwV687iYi9+Y5fn3UxBlZ+FMDEgklCRcNowEK4RxDchlqOcIwIzwrpRnfWj3ghtWFBxPi\nDycQZuM3zuk8vLzEk5UWrqYS2hrB1MCf6lzXB/xJ/i7K/ox420UITzMnMQJdrcK9/BU+ym+QKCKm\nNufNcpdU1ngyqtCdncoDm96AejBCFhLm5SKzZg05L5H3bdrHByyN92kbE9xSjr2wwp5eZ88p0Z1Z\n50hO1XRYLU9ZLkxZSfuUjgakuw7pMFhcE4C4ZiJ/v4JYUknTlDRMESRAFF+S3D3HwNb5y0drbA3z\n1CwPWUoY2OaJlfzz2Zwgpwkh0ktNlGvBhIY/pBkMKQYzKuGUajg7lWOeuXd9pcim2UEWUq7ae1TC\n7HkaCDJPrGX2GyvcvuTSfPoEcWecvVEWEK9YhOsNPpU6POkX2RoV8SOZeknjzTWBnLiHKRxxqTRB\neW6r/0JyOI1T0knIzFbYTDp83CuzPSxlLQkAWRLYWC5x81KZV9YqrLXyiJ/VV+ArhC/Ld9YF/m5c\njNUXjwuS9TXAxcL64hAnCZ88G/Hre4fcedwnjBJkSeAbNxr8+I0lNpaLL+0An8U/1lilaUqwt8f8\nww+Yvf/ewnZd0DRyb7xF/tvfxnrlNkgSoXuEM3mIO3lE6B4tPkM1O6j5m3TdVR4dRjzYHvF4f8yJ\nYzOCAPViiIbL7rjAt1b3udUc8NudDk8HRa7VR3zn0gGdwhwntZibqwT5NiQx8uSAUrCLIWaSnwfH\nFX71bJn+QF2QqjXn8NxON5KQuSAAqSyALNJNCvzbzh/iyAZvTB7yw+FHHOZb3LOu8Eyt44nqiXNE\nihH76KmPL6gLJ7iTu5XVvJSmGbEqTSlqHrhxJufTM2KWJilp1yc+9EjdCGHNQu6cFBMFCUjCubqX\nNIXuzGRzWKJhzfnp4zWOZnk+j0wBSElENZhw2Tmk7fdp+kP02ONIq+HIOmoSZdbasY24bCDdzCNe\nsRAkgSiCw76BaiU08z7xnkv4F8fgxuzmGmy/fYO3rmREN0ng7mGDX2yuIIoJ5cIcIRfQzE25Nu5R\n2x3BlrOof0EWEC6byBs5xBWDRBQJYglVShYkMnViok+mRB9PEdyYWBC5W1jn48oa/jIkpQRhJKH0\nBaZBHlc8MwaL6DZF0kPMxhSrZHPDtHnNmlGRs8yZG4koYnrOvhyyadELFdJUpH2S2ZpEMnftPE/G\nGrXHDvFI5cZsh55a5heV1wmk8y57zzcUBClBExJe7xzzdueI0jvbJI/mi6xoIsBus8rjS21221Vi\nQST2ZWRH4Y9ah2yUx4T7AUcfJOQPBxhxcO4Ic9lgy2jxQeEGx2aVV9s9Xmt36dkWD48rbA2LC6la\nIZxzxd6nGM1J1JRhLU+vY5LmEhrjGVd2u1zf76IYAuF6iaPVJfbmRXbGBfbGeYL4dOPAkENWyjOW\nS1M66oTm9Bhte0py7IMdIa5byN+qIJYU0iQl2XdJ3RgqGnMjh6HFaPL5DFCcwME0x2+2OuxP8tRy\nDhXTJU4k9if5l4ifFvtIJHiitrB4f45COKfpD6kGY1bdI5a93kJKGCMykwxmokZPr5IKAlecQ8pR\n9myNBJEts0Wv0SBnBVzf20EdnxiFmFLWe+tajiOlwrNRmWeDrEedKCksVQ1K2oCS0mWtMmKpOEf6\nHEVumqakicjQ03k2KPLRYZ298akRkKHJ3FjNSNfNtQqdqvm3fj98GXERX3x1cDFWXzwuSNbXABcL\n6/eLNE3ZPZ7z63tH/ObTLlM7C5KaFZMfvd7h+6+2zvVj+tvwRY5VmiR4T58w/+B95h9+sMhYIUlY\nr75G4VvfwXr9DVBE/NkW7vQR7uQR8cnOMIKIZKxx7F9ld1Lm8b7L473JwlpdACplgWo+YMXs8lZ7\njzgR+V9++TYCKW1jimak/MGVPVaK2Wf2BIsnYZX9aR7VDdkwhmyUhihSQhiLfLJVYveBTGU2Ztnp\n0nBPHcsSSURUhdNAH7K6HzcmTeD94g1+VnubFIFONGQo53HJSJWSBOhxkLnHySbpmYDOUoKs2W9h\nykp5Tqc4R5NjEjuCOEWwZATpRAboJySHLnHXw/NAvZZDa6oIovCZEqswEtgZ5tgcldkb59mfnq+l\nOR2sFDFNKEZz1pxD1u09WsEQK/YIkFCJiQSRPa1OMbIpR1nAKJQV0htFpOt5FCs79mQqEx35FMsx\ncl0l8ROO/9Jmd5inX65RfkXm9dUehpL1wvq0W6U7s7BMDyvvYqUu7e4YZXtOsu2cZjkMCelGDmk9\nB1WVVBARhfSlvlz+YYj37gR1f4aYpniiwkeFDT5tLTOraiSRQjjXiP2zmd6zXagyLLnH/Mvur/DL\nEjvtGjvtGrOcQZqmrMYR3y6NaObcc8dOOS9pS1IYRApuLNJRfWQR0iAhfjTHfWSzJeXZ2Duma5X4\n31f+mDg6W19zXlwqKhGCmFCSA/7L+Tu0nu6dNAyW4KR2y1dktjp1NpcbHNZLpKLAVcXlh6Uhphyz\nN87xHz/s0D444Lq9TTWYnsvWxIJAXy/y0FrBXavzjRt9qqbLk36Zjw9qbA5KhGlGlMQ0Ztntcdk5\noBRN8QyZ41qRftPk1sEurz/aASBaMjHeKiC0dHpenp1xnt1xgd1RgbF31tEzq4tcKs7o5Gd00hH1\n3hGKmCCt5xDLWWYr2XSI7oxJwpSnl64gXrJYq08x1Zcld14o0p3leDoo4oYKZcOhoIf0bfMziZ+Y\nxOhJQCxKRIJ0rpEzQMMb8IPhh1w5sdZPgFCQ6aklppJOX6ugJyFr7iGNYLx434Feo1vtYBQqlPYf\nUp8eIZFmDZ7XTaSrOeKSysG0yOagyLNBkf1JHl1XkYmpmkPWyhOu1ia0C7PFHPtMWWUCY09jZ1Tk\nXrfF015+QSyLOZWbl8pcWy6xsVL6SpCui/jiq4OLsfricUGyvga4WFi/H+z3bd5/cMy7D4/Z72XF\n2ZYu8+1XmnzvdpvL7fx/8hfk73usEt/HeXgf+8M7zO/cIT6xIBd1HevV17DefAvz9mskTPFmm3iz\nTfz5DulzOV2U59DbYH9WY6snst21iZPTR8FS3WKpZhEFc8ryJrcae1TMLPt0PDP4fz7YoOsV+MHq\nFj+5sUffNtibFng6L3M4yxHaAjfrA97oHNMpzkntiOmzmNFWgnpsU3Gni2PFgkBkadlu+TQ8tTg3\npSxV4SfEgshBrsGfVr/LSM4edlISYcUuYppiy8Y5SZgkJLTyc5bz06w/VWVOyfAXtuipnyBoIoJ2\nGtwl44DkyCechAg1HbWlIhjSS0YBQSSyO8rxSTfrTzV2tZPg6sU5kgXvWuyzMd/l5uwZK34PNY1I\nEOgrBUZKnliU6Hh9SmcawAL4eR37egNjXaNczQJbL5Q4ONCwPIdqO2Ik5tkaFnjywOQgLNJohry9\nfMT1xhBJzEwMBraBLEeYSoA2cBF3bZIdl/T4pBeTISKtmYjrOdKajqiLvNiCLE3BDmQOBwbRnQnl\n/T6lMCOAA6XAR6Wr3Kut4aYGaXTGkU1IEKSENJYy95GT+yJpEVp1TtCziEKVSjTm3+z/NbUwqxWc\n50zi5TyVGxJyW0MQBaahhCYlaCfZrFEk48QSZTnEPGNwkAwCUi+GiopkZOPbC1W8n/aobw545/ZV\n7qxdIZjqBFODcH7WOONlEvjd8V1+1P+QQFHwvtOmNBmTPLHBycbEVVQ2Ow22LtWY1PP8QXHENcMh\nTeHeoMxPH60xmZpcdg54ffqYFa+LGfvnZksgSUxKBYS1PK1rKRQVNgclfrvd4WBo4abqIrViRi6X\nnQMuOweUwymhKlH3Jlihj6sqPL7UwrBgrRZiNRWEgsws0Nif5Nif5DmY5Nif5PDj0/UinBi6LBVn\ndMwpnfyMRsXL3EC7HtHHU+InNs+0No8vrbN6zefVdo/n5qkvZn6SFMauRm9u4kcSRcNHEWOOZvns\nPMZ5ui9a8qcpUhqjpCdzXdIwYo/XJ495a/Jw4VTYU0vMJANb1BmoRYZKgWJss+7ss+J2F2R2JOfY\ntjrMrQqi59B2eyx5PeSChHLVQFq3EGpZE+6DaZ6tQYFH/TIHkzwpErKYNQzfaMy40ZxTVIcv+s28\naPLJzFfZnxa5f1Rlc1BgHmSbcjlDYWO5yMZyiY2VIpeaeWTp89oR/OPgIr746uBirL54XJCsrwEu\nFtbvBmmast+zee/hMe8+OF7UWcmSyGtXq3zvdovXrlb/QV+Cv+uxStOU4PAA597H2Pc+xn30MGsS\nDEj5Ark33yT35tuoV5fx3d0FsUoimziB3tziyOmwN6uzPdDoTU77AEmiwGozR7Ni4ngR0+mYtrXL\nrWaP5VJ2DWEs8qBXw7ZlxiOB3wwuk9N8CprP8TxHlIhIQsJ6bcQbnS4b0hH0PJIjH38/QJmeNlcN\nBQnHNNHNBC0NYRCcxraGBCKkdsxMz/GosMK71g3mgp7tdgviiY35eTvvmunQNmd0rBnL1TntqrOQ\nlqVeTOrFCLKY9aF6/i43Jjn2M3f1goxoSaCc1l7FicDQ0TmamWwNSmyNioxcnST9LEKVQSChGM64\nPXnKxnyH/2P1T5DTmP92789xJY25YiAIUAhsWv5gUfAPWR3KTqVNcr1CbS2hUfYyUpikxHsuwUHI\nkVnlMNdgd1JgZ1TECRXyms+bS13eXjqiaGbZVz8SkcUE7Ih01yHZcTMreUCsawhNFWHFRKhpSNrL\n8zxJYeqp7IwKPOhWSHfmvDZ4ypLXW9S9bRpt3i9d56m5chphizGSFkNKlsFKz9wnIUUtuFjtMbKW\nBdJpLDA/KOENc4hCwneNx/zB5GOEPXchEQ01mb1WhWfNGoeNEq1CzCvGnEuaiyhk5xp2faRxgGBK\niEvGaUYyhTAVkIUUIYjx/689UjfmvT98hXuFBgkCSSwQTHXcXp7IfcFBTkwgFXhj/Ig/7v2WWBD5\ny8a3GK40Wdd6tIdHNLYP0J1sA8KVVbZqDey1HDduxtTMmDAReG9a4p3DBvbEIpzpqGHIG5NHXLe3\naQTjc/MAIFFFxCUDeUlH7OhspnV+vb3C9qhAmnDGERNKwZRL7iFvTB4v7NTnqsaDlSV2V0pYfsA1\nccpKNcaoSAimREo2tw8mGenZG+U4mucXNUeQ9Xtr5Bxa+Tmtgk3LnFMf9BA/GnA0sXivfBNhPcf3\nrx7QyDmLKZA+TzUKnNucihIB21cIYglLDVCkhKOZxf4kz94gz8HYYhierVUEIY0xIh8tDVlzDrk9\n22TpxH3QETXu5a/wxFoGIBBlbMmgGk64Odvihr2DdtLvLGugXWPbaDNWchixz5LXo8EEc0kmt6Eg\nLesL2e/R1OTD/QaP+hVGjkGKgCrFXK7MuFUfc0nvUij5CMp5mfCLe3FBJDJwDLZHJTYHBQ6nOWa+\niqpIXO0U2VgucqVTYK1doPD3VEn8vnARX3x1cDFWXzwuSNbXABcL6z8fYRTzYGfM3ScD7m726Y2z\noEiRRV69UuUb1+u8vl7D0H43fVF+F2MVjUc4Dx/iPPgU55N7RMNTFz9tZRXz9qsYt9ehKuA7e/jz\nHQKvz8A2OJjmOJxVOJyXORjJhGcUPoYmc7mdJ2cozJyA45FLHE7ZqA242RywVpksgtfdaYmDWYnN\nvsFwZjBwDM4SDEmMuV3b4TVpn858hHTsZrUeZwrsQ0HCVg00K8UwYvBj6J9p9prLskVd3+RO8Rp7\napNUEAgFhZlingsoIaWmO3T0KS1zSqdk0266aOoZkwk3Jg0SBFVEME7fm8YpqR1ldUaKmP0pCIts\nT29ucmybdKcWPdtk5qt8Npk6n+0o6C6v6Ees7zyhc3yELyocqyUcxeCZ2eFufoO21+e/2/uzxS57\ngsBQyZOLXfQkxK7mCf/ZEs16gCBAnKT0nkns7hscpBUOxQpdN7foN6bLEa/VjnirdUiz7iOIWUD3\n5LBIeuRQP+5RDG0EXUSsqgg1NbORz332/PZjkZ6jsTXI8/Coyf4kT8Uf89bkIZedw4VscSKb3Mtf\n5W5hnYmSR5AjZD1EEFPiQCb2Xqx3AkkN0eszjIqDcEJ8BVIaSsCK7LGi+IynJv/+k3W8SKFm2Vxu\nHqPP+1QPxqwcDbC80/qmQTHHzNSx0pB6HdTrFmIzk8PFCewGGgJQlUMsKTkvc0xSki2HpOeTvFri\nCXkeezkOgiwb6RznsA/LICTIekjkqQuieNne4191f4meBLxfvM7Pqt9YGKpUVJtONKA5OqY969H0\nh4ikjKolKjdk9DUNP6dx18nzkV3AsXWCmU5oa4RzhYY35tbsGVecfSrhFOkFIwgkAaGuQkOna5X4\nILzEx5Ml4kQ+1yOtEM75F8d/wxX3EMj6ZyUIHBfK9Et5xmUNQUlZyweslEPMooigZxsLcSJwPDfZ\nn+TYHebZmxQYusYLzoEpFdOjlZ/TlCcUZ2P6Q4OncotbG1Ne7xyT08JTwhUmpF6S9XIzpHOkBE4I\nciwiCgmKlMkO96c5HhxUedwrMwlfPD40vD5vTh9zY769sNM/1Krcz63xIHeJqZKZiQhpgppEVIIJ\nq26XK84e9WCCmfh4osK20WbXaDCQC5mRTDCioHm0lkNa10EpiYtzfNwr88Fea2GiASAKKVfzY17T\ntrlcGGA2RMTC39103oskulOLrVGRo6lFd24xcnSqBZXLnRJXOkUutwtcauXRvkAHw4v44quDi7H6\n4nFBsr4GuFhYf3+kaUp35HJ/a8jdpwPub48WNUa6KnH7coVv3Gjw2tUquvq7bzj5nzNWGal6gPvw\nAc7DB4Td7uI10bIwb91Cv30ZaTlHmPRxptt0xxHdmcXRzOJgmu2U+tFpICMKAu2qSbWgkaYwcQJ6\nIxc3iGjlbW40BlxvDGkXTqVqB9MCH+7X+OSohh2c7q5qYogW+FT9Cbe0fa4kXczRLLOKPgNPUgkE\nGcOIUfMCqZBmpMpPFq8PimW6UpktqcFYLjBTTVzxfN2ISIJGQF2ec8kacbkyZqnjoeVOg640Tkmd\nCBKyYFE7T6pIM0u6GJGxqzN0dIaOkVmDz016tokbfn5gJKQJYprJFZ/3qRJIWC3P2KgN6UR94ntT\n7JlEKMmYkU/dHy2MO1Lg/23+kAf5NS7b+yyFx4RVnevxIe3NfYQkRXyjyPjVZQ7nFkeHOocji4O4\nRMB5+WNBd1kvDnm7ekCzHSyyNdE0IuhFpD0fLScg1lSEqvpSQPu8riROYOSrHPo6R1ONw/08O5M6\nETLVcMLt6VM27L2FdC8SRB5ZK9wtXGWvUkEyEhBS0lAmdNRMCri42pOxERK0koNRtZHNjDhaYsSy\n6rGqeqyoHsaJmUKSwPa4wCeDMp/0qrgzE0jRKzZma4Ikx9RGM64/O2DlaIjp+efEfTNT52ipgrSq\n014RqVjZPEtSOA5VvESkIocU5JdriZ7fkzCFg0DnoWPxyWGDyW4FBMh1hkhaTDDXCWc6uanHvzn8\nOY1gTF8p8qed73BkVkljkTQ5vd8CKbVoQtvp0fKG1IMRNXVObkUi7ljcNZb4KCrhyZnhRuSoBLZG\nONeJbYmOPeC6vcMVZ59yeFIb9OI3tSbiVw328hXu02EvbTBOCpCKLHvH/GhwhxXvmBTY0xv01QL5\nyKXj9VHSiIGVZ1C08PIq9WZCowa5AkjG+Wxu3zbYn1hsD4sZIXCNBdFYnIocUdB84lAgQOTNpWNe\n6/SoWe45wpUcuiQ9H0GXs3laUkAVz2W8nkck2WYDbA6K/Ha7zdNBJZMXnvyASMK6vcdr0ydccQ4W\nGxg9tcSm2eF+7hJHev2lMZeTiEo4oe6PKYeZw2EudHBljSOtxq7RwBcUqtGUqjinUQ1YuxFRbASk\nKRzPTR73ytzv1jiY5hYkUCRhSRhyO3fAemFIsa0hlVME8bN7dZ1FlAj05iZHM4vjmcXx3KQ3t8jn\nDNZaedbaNVaaBVYaud/ZRuCLuIgvvjq4GKsvHhck62uAi4X1+UjTlN7E48H2iAc7Ix5sjxjPT3e/\n21WT16/WePVqlY3l4u9dD/93jVUShvg723ibT/E2n+JuPiUaDBavi4aBfnsd5XoToa4xDh32enOO\nZjrHM4vuzKJvG+fkPQJQLxmUCxoCAlPHZzjx8E5spQu6z5XKmCvV7FdOy7JJcSLwbFjk4XGVh8cV\nvEiiadmsSn1a3oh69whzNicKBMzYP3cdqSiQCAJCnCAWJcgrCAgk44CJpzNUiwyUIgO9yEAtMpAL\nOJLBiyhKDg15SkOeUddt2hWHWjtCMl4gCl5MGiYIirhw/3sOPxQYuTpD12TknBKqoaMz9bSXdsTP\nf3CCngZoUYCQpsxlk0g6JTllZqzkxjSYYs1tpKFLzrGp+pNM8ngGc8ngUKvSM8oEZROhIjEiT6vs\ncct/hv7hMcrYw1dUfrH8NnfkK+f6DkFmw13QfUwlpGo6vFLq0ax5p/25vJNsnXI+Wwcncq04BUkg\nSQWGjsHuOM/uJI8zjwnGCV6ocyxVEIBVt8u6vcMV55DSScYqQmTT6vCossR2u0YkK8S+TGRrJNGZ\n4wnpuVorNe+hlW20oktBCVlSfTqKR0f1KcqnZHziajzpl9ic5TlERij4iHI2T4O5xnyvTOwrCCRc\njXf48eEdal62nlxV5qhWIpRlKtM51fH8HOmaFE3ClonRUSm3JcSSnDW0jiXsWEInJr85ghikFWNh\nf396/6Dnaby/3WZvXGQspeidKaKUkkQi6VTkW/ef8MbRMxIE3im9wq8rrxKIKoIUoyoRipDi+ipx\n8rKTXj0Y0whG1LUZhpmwJ5S5p7YJCjKyESJpIWkiEDkaoa0izCXa8wGrzhGXnQMaygxZy4w9mL/g\n+qeIjPMWe2aFrlRF8uDW6BmtYATAnl7nndIrHGoVlrwBHb9Hwx/R8EcYic9YyzGyTNQVmfKKhFUW\n0UwRQT5PgiaexsEkx9Esy/r25iZDRyd5wY5fIKVsuiwXM8lhxXSpmi4lw0WyQ5JnDvGOA3GK2NQQ\nWzpCRUXInZrQnD2uH0kczSw2B0W6sxwDR8d3BXK+w/K8yxUna/nwnHAdqyV29CZHWoUjrYojG3iS\n+kJ2/BRW5FIOp5TDGUoSEgkytqQzUgrEgkAtmlEVbep5l6WmTaESshXXeTKqsjksMj1jMKKIEbnU\nZVUccKsTcvmyhF5wiMMpp4WnfzucQOZ4bnI8txjYOgPHJEo08jmL5UaOS80ya0tNauUc4j/QWOMi\nvvjq4GKsvnhckKyvAS4W1imCMGa7O+Pp/pTNgwlPD6aMZqcEIG8q3Fgtc2O1xO0rVeqllwP73yfO\njlUSBAT7e3i7O/i7O/hbW3g72xCf2mTLyyWE9TazapUeGj07pjdTGDhZxuXFbIsiC1TyOoYmE0Yx\nMydk7oaceldksp7lYtbv6XJlQu2MQ9vcV9gelehNDJh4NKIx1WCCadskwwhl7iEm5wOBiWzhSBot\nf4igCcQFjamRYxxZjHyDMRZjJcdIyTNSCuf6Tz0/p5LoUBXn1KQ5VdWmXnBpNjyMqnguqErTlMRP\nEdI0s1NXRNxQYuJpTFydiacxdrWTf2uMXX1RZP63QUxjcrFLPrTRY59EkJjJJkO1QCJICGlCIbJp\ne31q8YRyPCcf2JS9KfnYPfdZCQIDtUBfLTE18yRlDb2SUg/HWJHHXLEY6iUGUgFvlLK+9YSNyQ4C\n8FFhnZ9V3yaSZRqWQ7NoY8ohqhxT1Hzqhk0j76Jqn/94TtMU3IQ0ShBkAV9RGXg6x7aKtTvF2J0w\nnilsWW1swWQoZ+faDIasul1W3SNW3e7CaMAXFbZzDZ5W2zyrNHFji8hRz2VoEE7mxCKYTlHyHmbR\nYak6Ycl0aCoBTcUnfyZz5IYSO6MiW8Miz+Y5pkqCVvSQ9TNZ0DSlMrHpHA9pHY8ZeFV+U7rNVMkh\nJxHLHKHV54w6BukZZw4ljGgMJrQGE5r9CfXhFPnM3I0UibimozUVlGYmmyQvE01jxK05cZCgvl5c\nZEFfrK15ns1xBIEBEvuBxjDSKHQn/OC9hxQcD0dR+ZvWLT4wbxDH590US5ZLTgtIY4GJrTOPztd9\nSWlMJZhQSuZIaYKDxlw2mFsaQi5BVCMkOSZNBJJQInZkymOHJafHdfWIpfwMTYlJ3YR0EJCOz5P+\nFHC0TPZoBdkz0hFVPs1f5sPCNfpaGQAj9mj4Q1p+1jy4HoyoBlMkEuZFi+RyDnNVQatIyIb4kiFM\nlGSE/nhu0puZHE4tjmcmE1//jA2OlKLuU7VcKqZHxXApM6c8HFHoDhCPnKyGspplZcWmlv09J790\n3DQFJ5QZuzojR8Mdp1jbQ4rdIUV7uqh3ey4R3DGa7BpNekoBERZZajGJkUgIBfnl4iqyDJgVeyhJ\nSIpAIMr4okIhcqiFE6rSnLLmoUgRdqqzFVQ5FkpM5UzyLIkJedWnIPksFyLW2gmtioMlDRBxP3cL\n6LNqvaI4u9cDx6BvG0w8jQQVVTWpFC3a1TzteolOvYamF/5exk0X8cVXBxdj9cXjgmR9DfB1XViO\nF7LXs9k9nrN7PGe7O2PveH7ODa9gqWwsFblxKSNWnZr1hVvmplFE2O8RHB6izIYMHz7F390hODrM\nNFGqQFTUmZbLzOstpmaRQaLStzMyNXL1Rc3Ncwik5E0JTVEIE/D8EC94eRfUVELahTntwvyEWM2w\nTjJVaZwSjmPmfZlkEqDYLvLUg2GA6ISf44mX1VIdqWV+VX2dfb1BOZnRDEdMBIuxlHvJIv05FCIq\nzKmJM6rSnJrpUCv5VJshakl8aVziKMUJFOahih2ozAOVma8y9VTtaRiNAAAgAElEQVTGns7khEy9\nKFE6e8bC4vcMWuxTDmZUwwlaEgACnqgwUvIMlCJW4lOM5hTDeSYZCiZUwhmlcIb8GbvMc9mgp5YY\nGUX8vI5VTDDkENEJ8ROFiZJjJOfppwUGvrk414Y/5Bvj+9yebSKS0itUeL/zKsaSyI16H1MI0OQE\nXYtR1M+M7bI+XeOQ1M16B0WKxEjOcRjm6Pk6Q18hHoeYIxdr7pEGMp6gcqDXmcgmzWBMx+uz4nbP\nGVdAJq16ai6xaS6xZ9Rf2uHPpE4p6Rk7elGKKRRtlqsTrtWGdAyPihyes1S3A5ntUZHtYZHtcZ5h\nLKMUPbSii3RiAS4mCZXxnMZwSnMwod0bYfinBGFUsHjWrHG3uMGx3SAJs3uqWB561UYtuIjSy19f\nYpJQHc9oDKbURjNqoyml+QsEWRGRKgpiRUWoKAhVlSivEuUUdCnlOd9PUph5KpYaIr9wrDARmPgi\n/odTSnd7SFHC3NS4e3mVT+pruIFJ6KoZUT2RVD53vSxbLroYEtqZTKwX5rPg/gUYsYce+wikRIKM\nI2rEmoCohUhygiBk/ZtUL2LVH3KzPGC5OiOvhTANSQcBST8g7Z+vkzyLQJQYaAW29Ra7Wouxmmcq\nW4SigpAm5COHWjCmEYwpB1Mq4ZRKNMUqxNAxYNlCrimIloQovzyBo0RgaOt05yaHkxzdmcXAMXAj\n5XPWdEpeCyhqHkXJoxDOKcwm5AcTiu6MoumjlwSEkoJQOhnDkvJSZhsgCRPCXZ9424UdG3F+Or8C\nUWZXb7BttDjSahzpVYIzDqVCGpOLPIzYW5CvmWzhS5+9mSOmMdIJoYsRUdKIXORQCmeU4zm5yEVI\nYiJBYa6YzGSTUFOQcyKiKVE0E9qlgKrlkFen5FQf9YWawnN36TPIF0AQZ9LosZttRPmRDIKEqqiY\nZo5KMUejXKReLmGYRSQljyipX9v44quIi7H64nFBsr4G+Ke+sOZuSHfkcDx0ORza7B3b7B7PGEzP\nS9RkSeBSM8+VTpGrSwWutAtUi/oXQqrSJCEaj4kGfYLjY4KjQ4KjQ8LDQ/zeMY6uYefzzK0cUyPH\nRC0wlXOMI52xp52rcToLXU7Q1YQ0FXACkTD+7GtRpJiq6VKzXOonzl9tfUoudknnceYmN4uIJzHJ\nKIRZkDXXPfMZCQKupGFLOrZkYMsGM9lkqlnMVIupZDETjJdqpM4inziUsClLDiXNpWL5VEo+lUqI\nVc4eKUEs4gQKdqDghAq2LzP3VWaBytzXmPkKM19j9hmyqrMQhSRzykMgjAVSRIQkIR/blMM5lWCC\nngQIaYIvKviKii+qkEAuzoK0YmRTPPkz90JG6jkCScExTaKcSmiqzBUDVzAIUokgkZinOhPBykhm\nYhKdkfgJpJhqSEHzWbFGXBOPaKVjdCVGyEkIeQVy8mcGoc+RZaaycUuPvIwYmxbdXJV5oDH1ZIaR\ngjINKDguVuCTkjKTTA70Op6kkYs9asGYlj+g7fUXhhXPMVTy7BoNtow2u0aLuWyePYPF1bxwZihS\nTNlyuVIZc6M+pGZ5WGpmcBDEIocn9uDPbcJnqYia91HyHqrlIxNRmjqUT+R9GfmZncs42brKQaPC\nQaPMfqOMa5xmfNKUzAGwn+f/Z+/Og+wq68T/v5+z3b3XdHfWDiQQIIQtOCwzAooLzhf8gkZlcQKO\nVH1r5qflUlMqWkpZo+UyWlNT4wyj+IdWfcuqnww1P4VRRxjQUUEwAcIWQkJC9qXX233Xsz3P749z\n+/aehKZDOsnnlbq59yx9znPvc84993OeLSw3jkul8VrqpFqreIXx6oYzccOouc9FxRLtoxVaS1Ws\nqZe/lJUEXa0uVotLXHCxWh1qmTSvFBdTrGfIugFnd47QU6jiWMmPYFONiDYXiV8pQWQwnkVlVSt9\nZy/icHsLw0GawUqG0XKGsO4R112iuosFdOcrLG8bZWVbEbcaMDLkMDiaZsDPMmQKjDi5GW9mWCbG\n00nAHCmbSFlgGyxboyxNb6bIBflBVrSV6ez0caPGsVVsBF4HaphSNGvNtZrtUfTyFO0CRSfPiJtn\nxMkz6uYo21k00BpV6AxG6AhHaY3KdLhVOlp9Cj3gLPagM4XlWbMGCkFkMVRNc6SUZbCapTihpHq0\n7k2rfjgmbYe0WjXyukq+ViVXKZM3NQqZgEIuoqUlIt+ucVqTc09l7WRA4dEIfbCOPljDHKgn73/s\nGAPiQopSPk9fqoMDTif77C764hZiknPdaXSk0RqWycQ+Lsng22UnS8lOAqfJA55PMaE9macjMrFP\nLq6Rj6rkoyppHeDpkJQbY6cVJuNgtzhk2iDbGpPJGlIpTdqJZg3ATOO/2T5zP7IZqXuU6ilqoUOk\nLQwK13HxPI98JkNLvoWOthYK+QKOV8BycthODmV5C368rzPB6f5bcCGSIOsMcKqfWH4YMzRaZ7jk\nMzTqMzha58hwlSNDNfqGq1Tq0bS/ac15rOjOs7w7z4quPCu68yzuzJ6QNlXGGHS1SjRSJB4ZISoO\n4w8MUuofYmS4SKlSoxyFVL0UFS9Hyc1QsTKUTIayTlEOZ/9RYCtN1gtJOXFyV1pb1COHWugw+Uet\nIe3EtKerdNnlpCTILtFpVWnRVdzAT3rIK8eYSoSpRMSBom571KxU87lmJ4+Kk6Hipqk6Gcp2hqqV\npqpSM/5oa6a1UX0sVjY2MedmjrC8MEoqa0hnDG7KEGqbeuhQixyqgdsIphyqodsMrGYcjHcChSHj\nJlXkFBBpiyC28COHlA7JRVVagzIZ7TfvEGOBQ/LjMhUHZKKAXFwlH9XJx1VyUW16z2wNETDotVJK\n56mnM0Qpl9Bx8W2PiklTIkNJJc81PFKOJuOGZL2IjBuRcUPyXkhrpk57pk5rqk7eDUm5EY4zfbDS\niWYczLQaYQYC9MEaen+dcChkMN9On9fOQJwnHYUUwipKaapWmqLbwoibJcYipSNa4wqLghE6g6Sq\nZ8pMPn9qlsehVCeH0os4nOrkQLqLqpPB1lEyEKxtESgXzeR8yrgB7Zk6KUcTa8Wo71GsTf/haCnd\n6JxAoZwYJxWSTVXpsIbpiEq0V0q0l6p0jJRpLdcmBTQaGG7N09fZQl9HK0c6WyjlMrP/MpyYj76D\nP5zFL2YnDHRscLIBXr6Okwtws8FRgy5ISrxayjXaRyusODTIWQf6cI3G6Fk66PcUqtWFgkOQSidB\neCpNdpGidVFMOk8yptvLo0QvjjbH0VItDtbZWayVWdSSDDXlMBrblGOH0cBltJ5Udx2ppClV0ujQ\nYl3XEGu6hunJlaHoM3jYZXDYo1j2KPoZRky2EfTk8O3UTKlN3qOJUcZglMJzNa3pOj25CksLJbpa\n6+RTIemoRnrnMOyuYPr9420uRNioalu2s0n1RidL2U5u2FTsDJGysE2cVENMVVjcXqVnSUB+EXg5\nsOyjZ/dYKeLE0uxi8zkJxML4aN8xhiwB+bhKNqqTxSfrhGRTEdl0RDYXk3VDMkGNTLlGaqCE3V+b\nXuKXsqDNJW5NU89lKKca1aKdAqMmS9V3iCuadKlCrlIhX6+Q0gGOidHKouzkKDkZSk6OkpNtfj76\nKN/BSfINFhpXR6R0SFoHZOI62bhOxgRkCMhlAnIthlxBk22JyRc0XhacFNgz13oc2/QxP/ux7/F6\n6BBqC20Uxigc28JxXDwvRTqdIZ/Jk8/lyOUKWE4Wy05j2ZnGcxpluRKYzbNT/bfgqWjBBVlaa776\n1a/y6quv4nkeX//611m5cuWs68sBc2wL8cQaaw80Wg0oVUNKjeex6dFKwNCoz3CpPmMQBck4Td3t\nGbrbMvR0ZOlpT56Xd+Vpyc197BCjNbpSISyVqIyUqYyUqI5WqZSrVGpVqr5PrR5QjUJqkaGqLWoq\nRRWPGimq2qMWu0fvMIEkgMqnAlJOjGfHWMpggDCy8H2LqA6pqE4nZTpUhTZVJa/q5IyPS4gVa3Rk\n0JEiiCyC2MHXDoHlTnr4ltsMoOqWlzzbHoF1fJ+RS0TKivDs5C6o62hs22BZBoMiNgqtFZG2CLVN\nENvUI+cYP2Qmc6yYrBeScSNSToxrJVWaolhRDVxKdQ8T6+RHQ1DH0xGuifB0SC6u0xJVaA2T0qZ0\n7JONfdI6aDZkNyR37etWUlrlW0mQVLM8KnaGqp3Gtz1Cz8F4Djptoz0H49gY18JzNCknJmXHpJyI\ntBuRbQRQOSdMfnR5EZ47ezWdiUxsaDaEs9W09iIAOtDooRAGfcxQgBkK0f0+kQ+H0ot4PbuU/eku\n6sqlJa4md8hNEgjl4jqFqNoohSuT1uG07cdYzbZhA14bg14rh1PtlFNZlAVGq0ZJ4fSqqJ25Gj2F\nSvLIV+gpVPHsiOFamuFqptlxyJFShmLJw44jbCsGFBEOdVLJ+GUzcHVIIaqSi2t4VojyYqK0Isza\nVAsOxlNYToxyNMoyx/V5T/rsDcR1F3806fkvrEwcVBgsL8LNBtipECcdYqci7FTIbL9tnShm3Y59\nXPTqHrxYE1uKodY8QdYlZWJyFZ9U2ceKj3LJTFvJWG8pC+VZUIsxQ2FzzC9sUItSWItTWD3ppJ1R\nqzutk4dQK2qxTSVyiGILy0DaiSl4AZ5tMIHGDAeY4ZDqgGak5FGspigGGUoquaFSdhrBj52dtYrb\nRK6KyDohOcsnE/tk/BqZcpV05JPSISkdkNIhnoqSTmLiEC8K8KIA9xiRWb353ZWm2rgBVLdT2Dlo\n74xpbQvJt8VkW8BOKXAUWAqUOmqg4Mc2pbqXlJA3HsnrpJS87LuUfI8gPr4e+TwTksUnbUJSpvF+\no4CUP/kzaD47EemMJpUHL2vwsgorq9ApB99Nvqf9uiIeiVEjAXY5wK4GuPUAE8QEeFScNFU706hZ\nMFa7IHkuOxnqVmqG9q2zU0ZjG41jIjziJL+spHQs7cVkUhG5dEQuG5HJxKRdjdf4TnTtGNfWzWdb\nHd95qQ0EkU0YWwSxTaQtIm0Ra5KaB9hoZaEsB2U72I6L43rYbgonlUY5aYyVxlgeRrkY5WGs5Fkr\nF2O5JCfPiQ3WruhuPaHbny8L8bfg6W7BBVmPPPIIjz/+ON/61rfYsmULP/jBD/i3f/u3WdeXA+bY\n5npiGWOItSGMNEGkCaM4eR3qxrxkeux1EGn8IKbmR9T8mFoQUfMj6n5E1Y+pBxFVP6Lux/jh9G6R\np0p5Nu15j46WNG35FK05l0LWI+dZFDxFxoYwCPFrPkHgE/p1wjAiDALCKCIMQsI4IghjolgTxjFh\n3HhPsSIyEBlFaCwiGg9jExo7CVb0G+3y1pC2IlJWiGciPBrPOsLRIZ6O8KIQV4e4UQgaImwC5RBO\nethEyiG0nKQ6j2UTKZtY2Y3qPfasP1CPRWGwlEGpqaPYgDZq1hK145VyktKbdOM55UR4jQuv0wic\n0BAZCz+yKQcOo1WPauCitcIymhQRLbpCR5y0SWjXZTxLE1sWxrbQjoW27eQx9tqxwVEYO+nRTNnJ\nHW/bMji2bj57lsaxkyDOsTWOncx3HYPjaOw5fKxGN3rlM0zuR9qiOUjprH/ra/RoiBmNkrYwoxFm\nNEQPBVCOibCo2ikCyyNUNkYpLAypOEjuUOvgqNsPlNOsrjXi5hhxkrvpg14rQ27rUUsmW9J+0rFA\nNimBy7kBaRWSJiCqQ1BVBBWISho9EuHVfApRlYyukzJBcrzraHrVOpKPqmKnk8Au305/po1RL6lO\nVlVpAu2hj1GiObYly9Eou/GwzPizpVG2wWo8KyuZj9U4/i3T6OUQokY1vLjuEdU8TDz9c1FOjO3G\nWG6E7cXNQM9q7DulA845dIjzd++no1LBRmOUYrgly0BbgdFchsixsW3ImYhcJSJXC8jUfVJ+HceP\nUMGxvxcnSSUDZau8nQyYXXBQLQ6qJWlrpDwr6ercPvqPTGMM+Hr8+BtNqg+HVUOp2gg8ohRVK0XV\nTjdv2lTtdLP0u2qn3/D3kq1jUjrAMxEuEY6JcU2Ea2IcHeHoCFdHuHFyU8XVY8sjbB3jGI2Fxm60\na0oeSUcUVs7CyVm4LQonq7CzFlbGws4orKyFnbGw3JlvcIwJY0WtUcpeDZ2k1L1RjbkauNTC8enx\n0ps5fjcb3XiPjYeJcYlwVYyrYjwrxrUawYyVvEcbja1j7CjGjuPkZkYQY4URdhCitCFWVuM6klxT\nQuUQWA6B8vBtF1951Ozxm2+hcgkt56jfDcdkTPNaY6vkppxrJUGY52g8O05uLjYeze9jy+BYyfe1\nrTR247VjJYHb2PT4vLGAbqxjHZL2yWas+mNyI1A16kEqZYFlJePDKRujbMBKnpWNsRxQLpblYGwb\ny3JQlotlO2Db2JaNsh2U5WBI1jc4XNDRilJ2EgwqO9mPsqe9Rk1vW/xWkiDrrbfggqxvfvObXHzx\nxdx4440AXHPNNfz+97+fdf2FdMBU6iG/fGoPfUM1Dg9VMWN30RuflBmr9Nx4Xa1HRHrCl8OEbY1/\nuhMGS50wqY1BT+jAYVGqTNqLsBR4bgwYrDDpWWrAzxIbC4VpbLdxklugQ4MfOyRfiWOOUn1pxrlq\n8jKlmpuYaZtT5x37QHorvpSO93A+Paov2GrsopY8XDu58HmNUjWveTFMgiSvcXEfu9An0+MX/pQT\nk7Ki8U4MJjTTURZY7oSbiROem5+mYk4XHxMmPwyntQsa25TF+PE4tg9F4253Y71GQNQMjN7kRdCE\nOvnB6muox5hKjKlGmGrymmpjuhI3xwB7IwKV9E7mWx7VZhu5LCUnQ8XJJtON9nI1KzXlLq7BVgZL\nJT9Wmj/gVIRnIs6y+rnI7CXnV3DqUdLlezWGWnzcp8iEUa9mpYHAdQgcm9ix0ZZFbKnGs4W2FIHt\nULHS1FQa3/KoKw9feQR4+MqlbqUYzuTRsY3WVhIYmfk8P80s7+Z499Ho5RKD1Xgem04Ovakf6NiA\nyzRvgijGSgQUjg7prg/T4w/RHoyyKBihEFVI6ZlL+idtWZEEEzbJsW+rJPCyG6U/bqO79WZJEJPP\nm8Y20GCtyCSdRdRjTF1j6slxrGsxoa+o+EnQUW+UrPsqKTkOGqXHfqN03be8Zkl7YLnNm0xjAzWf\naMporEaeWCQPpTQ5NySfDiikQ/KpgHw6JJcKyXkRuVRI2o1Iu8l3pWNNPyliDX7k4EdJif6k53Dy\ntB/ZhLFNEFuEUfKcVH+2iWKLQNtv+sbXXFloLNX4XDDJcBsTj+lJx/PYj5zGsUJy7I51LTT1UB+/\nBIwvm3g+GBTDXmHWLvPfnLHzbLy0beI5R/Pco3HsT/jFMunyYmadR2N7BS/AtcfrETffd/NDMpPn\nTfh9OL2Fq5r0bTT1yFON7/bJ85JxKqde0mb6BlOzTszyy9CADqcmJJmwrcZDGa5Y1k937+R22mrK\nK8vN46Y6Zkncsb5vJ9RCsFwKPX+OPanN8Mk11yDrxIxqB5TLZfL5fHPatm2iKMJxZt7lXN/AidAF\n/D8rOk52MoQQQgghhBCnoBN2ayWfz1OpVJrTWutZAywhhBBCCCGEOF2csCBr/fr1/O53vwNgy5Yt\nrFmz5kTtSgghhBBCCCEWjBPeu+D27dsxxvCNb3yD1atXn4hdCSGEEEIIIcSCsWDGyRJCCCGEEEKI\n08HJ6e5GCCGEEEIIIU5TEmQJIYQQQgghxDySIEsIIYQQQggh5pEEWQuQ1pp7772XW2+9lY0bN7Jn\nz55Jyx944AE++MEP8pGPfITf/OY3JymVAo6dV1//+tf54Ac/yMaNG9m4cSOl0sIZdPtM9fzzz7Nx\n48Zp8x9//HE2bNjArbfeygMPPHASUiammi2vfvzjH3PjjTc2z6tdu3adhNQJgDAM+dznPscdd9zB\nhz70IR577LFJy+W8WjiOlVdyXi0ccRzzxS9+kdtuu43bb7+d7du3T1ou59UpwogF59e//rX5whe+\nYIwx5rnnnjN/8zd/01zW19dnbrrpJuP7vhkdHW2+FifH0fLKGGNuu+02Mzg4eDKSJmZw//33m5tu\nusl8+MMfnjQ/CALz7ne/2xSLReP7vvngBz9o+vv7T1IqhTGz55Uxxvzd3/2defHFF09CqsRUDz74\noPn6179ujDFmeHjYXHfddc1lcl4tLEfLK2PkvFpIHn30UXPPPfcYY4x56qmnJv22kPPq1CElWQvQ\nM888wzXXXAPApZdeyksvvdRc9sILL3DZZZfheR6FQoHe3l62bdt2spJ6xjtaXmmt2bNnD/feey+3\n3XYbDz744MlKpmjo7e3le9/73rT5O3fupLe3l9bWVjzP4/LLL2fTpk0nIYVizGx5BfDyyy9z//33\nc/vtt/ODH/zgLU6ZmOh973sfn/70pwEwxmDbdnOZnFcLy9HyCuS8Wkje/e5387WvfQ2AgwcP0tLS\n0lwm59WpwznZCRDTlctl8vl8c9q2baIownEcyuUyhUKhuSyXy1Eul09GMgVHz6tqtcpf/dVf8dd/\n/dfEccydd97JunXrOP/8809iis9sN9xwA/v37582X86rhWe2vAK48cYbueOOO8jn83zyk5/kN7/5\nDe985zvf4hQKSM4VSM6hT33qU3zmM59pLpPzamE5Wl6BnFcLjeM4fOELX+DRRx/ln//5n5vz5bw6\ndUhJ1gKUz+epVCrNaa01juPMuKxSqUw62cRb62h5lclkuPPOO8lkMuTzea666iopdVyg5Lw6dRhj\nuOuuu+jo6MDzPK677jq2bt16spN1Rjt06BB33nknN998M+9///ub8+W8Wnhmyys5rxamb3/72/z6\n17/mK1/5CtVqFZDz6lQiQdYCtH79en73u98BsGXLFtasWdNcdvHFF/PMM8/g+z6lUomdO3dOWi7e\nWkfLq927d3P77bcTxzFhGPLss89y4YUXnqykiqNYvXo1e/bsoVgsEgQBmzdv5rLLLjvZyRIzKJfL\n3HTTTVQqFYwxPP3006xbt+5kJ+uMNTAwwMc//nE+97nP8aEPfWjSMjmvFpaj5ZWcVwvLz372s2aV\nzUwmg1IKy0p+sst5deqQ6oIL0Hve8x6eeOIJbrvtNowxfOMb3+BHP/oRvb29vOtd72Ljxo3ccccd\nGGP47Gc/SyqVOtlJPmMdK69uvvlmPvKRj+C6LjfffDPnnnvuyU6ymODhhx+mWq1y6623cs8993D3\n3XdjjGHDhg309PSc7OSJCSbm1Wc/+1nuvPNOPM/j6quv5rrrrjvZyTtjff/732d0dJT77ruP++67\nD4APf/jD1Go1Oa8WmGPllZxXC8d73/tevvjFL/LRj36UKIr40pe+xKOPPirXq1OMMsaYk50IIYQQ\nQgghhDhdSHVBIYQQQgghhJhHEmQJIYQQQgghxDySIEsIIYQQQggh5pEEWUIIIYQQQggxjyTIEkII\nIYQQQoh5JEGWEEIIIYQQQswjCbKEEEIIIYQQYh5JkCWEEEIIIYQQ80iCLCGEEEIIIYSYRxJkCSGE\nEEIIIcQ8kiBLCCGEEEIIIeaRBFlCCCGEEEIIMY8kyBJCCCGEEEKIeSRBlhBCCCGEEELMIwmyhBBC\nnBKefvppbrrppjf0N//+7//OT37ykxOUIiGEEGJmEmQJIYQ4bT3zzDPU6/WTnQwhhBBnGOdkJ0AI\nIYQ4XtVqlU996lPs2bOHlpYW/v7v/55ly5bx3e9+l02bNhHHMWvXruXLX/4yf/zjH3n88cd54okn\nSKfT3HDDDdx7770MDg7S39/PsmXL+Kd/+ic6OztP9tsSQghxmpGSLCGEEKeMQ4cO8bGPfYyf//zn\n3HTTTXz+85/n/vvvx7Zt/uM//oOHHnqI7u5uvvvd7/Ke97yH66+/no997GN89KMf5Re/+AWXXnop\nP/3pT3nsscdIp9P8/Oc/P9lvSQghxGlISrKEEEKcMs477zzWr18PwAc+8AG++tWvEoYhtVqNJ598\nEoAwDGcsnbrrrrvYvHkzP/rRj9i9ezc7duzgkksueUvTL4QQ4swgQZYQQohThmVNroChlALgS1/6\nEtdddx0AlUoF3/en/e13vvMdXnjhBTZs2MCVV15JFEUYY058ooUQQpxxpLqgEEKIU8arr77KK6+8\nAsBPf/pTLr/8cq699lp+8pOfEAQBWmu+8pWv8I//+I8A2LZNFEUA/OEPf+Cuu+7illtuobOzkyef\nfJI4jk/aexFCCHH6kpIsIYQQp4xVq1bxL//yL+zbt4/Ozk6+9a1v0dnZybe//W0+8IEPEMcxF1xw\nAffccw8A1157LV/72tcA+MQnPsE//MM/cN9992HbNuvXr2fv3r0n8+0IIYQ4TSkjdSWEEEIIIYQQ\nYt5IdUEhhBBCCCGEmEcSZAkhhBBCCCHEPJIgSwghhBBCCCHmkQRZQgghhBBCCDGPFkzvgv39pZOd\nhHnX3p5leLh6spMhppB8WXgkTxYmyZeFR/JkYZJ8WZgkXxaeUzFPuroKc/o7Kck6gRzHPtlJEDOQ\nfFl4JE8WJsmXhUfyZGGSfFmYJF8WnjMpTyTIEkIIIYQQQoh5JEGWEEIIIYQQQswjCbKEEEIIIYQQ\nYh5JkCWEEEIIIYQQ80iCLCGEEEIIIYSYRwumC3chhBBnjj8ceOoNrf/2ZVedoJQIIYQQ80+CLCGE\nECfF7lLtuNd9+wlMhxBCCDHfpLqgEEIIIYQQQswjCbKEEEIIIYQQYh5JkCWEEEIIIYQQ80jaZAkh\nhDhpjlT2Htd6Yx1lSAcYQgghTgVSkiWEEEIIIYQQ80iCLCGEEEIIIYSYRxJkCSGEEEIIIcQ8kiBL\nCCGEEEIIIeaRBFlCCCGEEEIIMY8kyBJCCCGEEEKIeSRBlhBCCCGEEELMIwmyhBBCCCGEEGIeyWDE\nQggh3lJ/6hthd6nGQD2kHMYnOzlCCCHEvJMgSwghxCnh0L4RtvYfnNPfrr106TynRgghhJidVBcU\nQgghhBBCiHk0p5KsMAz50pe+xIEDBwiCgL/927/lXe96Vwp010AAACAASURBVHP5448/zr/+67/i\nOA4bNmzgIx/5yLwlWAghhBBCCCEWsjkFWQ899BBtbW185zvfoVgscssttzSDrDAM+eY3v8mDDz5I\nJpPh9ttv5/rrr2fRokXzmnAhhBBCCCGEWIjmVF3wfe97H5/+9KcBMMZg23Zz2c6dO+nt7aW1tRXP\n87j88svZtGnT/KRWCCGEEEIIIRa4OZVk5XI5AMrlMp/61Kf4zGc+01xWLpcpFAqT1i2Xy8fcZnt7\nFsexj7neqaarq3DslcRbTvJl4ZE8WZhORL4Uaj6pqosba+zw+O71FQpphtJV8vn0nPZ5Oh1fp9N7\nOZ1IvixMki8Lz5mSJ3PuXfDQoUN84hOf4I477uD9739/c34+n6dSqTSnK5XKpKBrNsPD1bkmZcHq\n6irQ31862ckQU0i+LDySJwvTicqXUqmOXw8Jw5g41m/ob8rU57TP0+X4knNlYZJ8WZgkXxaeUzFP\n5hoUzinIGhgY4OMf/zj33nsvV1999aRlq1evZs+ePRSLRbLZLJs3b+buu++eU+KEEEKc3gJzfCVT\neyspRlSBHToE4FzLPZHJEkIIId6UOQVZ3//+9xkdHeW+++7jvvvuA+DDH/4wtVqNW2+9lXvuuYe7\n774bYwwbNmygp6dnXhMthBBCTPT6aO2oy8t9I9PmXdHdeqKSI4QQ4gw3pyDry1/+Ml/+8pdnXX79\n9ddz/fXXzzlRQgghxFwdqe6dNm94aPq8IMw0X7992VUnNE1CCCHOLDIYsRBCCCGEEELMIwmyhBBC\nCCGEEGIeSZAlhBBCCCGEEPNozl24CyGEEEfzhwNPzTh/d6nGkcpeymFMOKELd9fOvlVJE0IIIU4o\nCbKEEEKcUopDVQ7WzKR55VrYfO0bf9rf+IeT5YXF+RObOCGEEAKpLiiEEEIIIYQQ80pKsoQQQszo\nd3sHKJXqx72+jDslhBBCJCTIEkIIccrSxtBXCXh9pEYQGRxb4aQUbVmDpU526oQQQpypJMgSQghx\nSjpS8dl8qMSIH01Z4uLYhhUdMZ05jZJgSwghxFtMgiwhhBAnXWwilA4I4+Ep85MOK17sH8UEFkfM\nTqLQ8MKRNMMDnQC0tlXIFsosMh2EsWK4YtFXsnm932G4rljWrdBO0nNhFKSb27YqbvP1n/pGAKny\nKIQQYn5IkCWEEOItFw2Cii1s2wZAYWEpG6Um98dkm+QyZQUeJlJorRg92Ep5MI/jhHQvO0RbweDH\nmnQd0q6hkI5pa3fZe1hTLBmi2LC8R6Gk/qAQQoi3iARZQgghThml/jzlwTyu57Okdz+OE+PHLpEx\n+Hp8zC3Lht4liv1HDOUq7HtV032uIori8Y1N6NPjnLfwPQghhDj9SZAlhBBiwYuNIRjJMHK4gOXE\ndK3YB3ZMZEBhiLWhppKxs2yliBVgKxYvhgOHDJVBw1ABWnPxjNvfXapxViHzFr4jIYQQpzMJsoQQ\nQix4OrQY3b8IFHQuH8KNFcTJJUxhYRnwyo2qhQDppNqhDSxvM+wajBnZbUh3aVItMkSkEEKIE0uC\nLCGEEPPiDweemjT9WvH1SdOD9QCAchhTMyNoZdBW0iGFBiwVERNgaW/CXymMMYzuXYSObFqWjOCl\no2ZVv8iuAxbaGHy32PgLRWxVxzdhQf7cgNGtXQy9ErP4z6R9lhBCiBNLgiwhhBDz4tC+kUnTI1Ft\n0nTNJG2molhjYo3BgAE9Fu8YBUwOfgwQFlsJRnK4uTrZzgo6tjCN9fTY+seImbzWgHRPhfqRHKO7\nNa2r7Lm8RSGEEOK4SJAlhBDiLRHZS4jCmFiBSbUncZGTYizcUVgoDWBjSAIyE0Nt/3JQhtzZo0Rp\nG6UhSCXtr4wav4yZfApV3g8oTKPXwmytp7k82ztCWMwxsjsmu9giVTjhb1kIIcQZSoIsIYQQb9ru\nUo1+M96pxGhQpjplnRALYymMciEeG0B4vH2UaRZHJSVabt2hergFE7hkuyp4lkEFjdIulUYZk5SG\nNXhRC05tcbItS1HurBC57Y3dZLA8aDk7zfC2OsXtEem1BiczPlaWEEIIMV8kyBJCCDEv+mujzdeh\n9gmtJJAq9CUD/KoWL6n/ZzkQ5gCaJU6QtKWq2y7KNEqyai7VvqQ3wWxPZV7SmO5ycA9Y1AY19VFD\nXjoUFEIIcQJIkCWEEOItZxgr9ZpYkjVWMqUBQ2UgD8Yi1zWMZenmOqAwKmnTpcwxGmOZRknX+BBa\ntJyVYvDFGoM7Y1KFAKUUI7rKoRGfrQcnB3NrL136pt6nEEKIM9Ob6sf2+eefZ+PGjdPm//jHP+bG\nG29k48aNbNy4kV27dr2Z3QghhDjDxIFNbTiH7UZk2qdWPBwLtsz0PzwOXotNuh2CMtSLc9uGEEII\ncTRzLsn64Q9/yEMPPUQmM72uxUsvvcS3v/1t1q1b96YSJ4QQ4tRQOlzG+OPTytjYJO2dVJhUCbRi\nC2OmhEZTY5zGdPVIKxhFrnsUpaavpmbqTtAolLYwlk7+wEz8q0ZHGY0irfxSTX3YYmiPpqtFMxqU\n6U63vpG3LIQQQsxqziVZvb29fO9735tx2csvv8z999/P7bffzg9+8IM5J04IIcTpwdKafHmU9uIg\nhdIISuuZV1QQhzb+cA7bC0m31mZcLentXYGa22XMzUG6zRCUwB859vpCCCHEGzHnkqwbbriB/fv3\nz7jsxhtv5I477iCfz/PJT36S3/zmN7zzne886vba27M4zuk3bklXl/QRvBBJviw8kicLzyt7fQqF\n9HGt67o2So2XLikDymjO3t/Pmte20l0cxDbjgVVk2/R1LGJX72p2L1uJsaykdMpAvT+flGJ1VrAa\n89ATgymFE1uN/SgwybXDCVxS1RRaafx8MCWFpvmsGv8Ky6BehNJ+WNptkUq55FOT3+9CPC4XYpqE\n5MtCJfmy8JwpeTLvHV8YY7jrrrsoFJIP8LrrrmPr1q3HDLKGh6fXuT/VdXUV6O8vnexkiCkkXxYe\nyZOFq1SqH9d6YRhjJlTPW36wj7e98CqFalKHsJgrMNjRTeB6eFFIe7Gfpf1HWNp/hIu3vcCzF65n\n/9JedKyoD+ZRTkymrTo+yLA1pcRKO9DoBGN8HQecFFbko7SFFdvYQXKZy4xkUIBtbEDhFR0UUEnF\nVEeg9vIoBzI+lUZsdsElSwAW3HEp58rCJPmyMEm+LDynYp7MNSic9yCrXC5z00038ctf/pJsNsvT\nTz/Nhg0b5ns3QgghFiA7irjyua2cvfcgsVJsXb2M1zvXUMnkCNs6wYCxLUxcoVAucf7rO1mzewfv\n+NPv2LXibH7ZuxajLbLdI8eoCdgI6BQTGmw1+idUGqNitAqPmlYDtOcsqr6mvxTSZjnUakmvhwf3\nFQHpXVAIIcTczFuQ9fDDD1OtVrn11lv57Gc/y5133onneVx99dVcd91187UbIYQQc7R1y8E3tP6h\nIKJenx6odJ2/CEgGIB4zahmcKOI9v32ajpESgy3tPL12PaVcgVTJw6uByTYG/o0U6DS+l+b58xez\na/mFXPXC71m5bzfGuRzlaHKtJ7p2QxKZ5TyDa8NILWa0zRB7SbFYWSdjfFWe3XNcW7t5/coTk0wh\nhBCnpDcVZC1fvpwHHngAgPe///3N+bfccgu33HLLm0uZEEKIBW2gPt7uSZVH+MvH/0RLqcS289ay\nZe1foK2krVSQmtI7oFKgxsbJMpTybfz3VTfStW07FTvLRaUdVEKbqnN87cGOl5n6yoBSivYc9I0a\nhsohubQMHymEEOLNk6uJEEKINyUYfJVr//Nn5CsVnrtoLc9cdhGOPzq+gp1qvjR2EngZE0/dDM+3\nngdVzVWDL+M8EfGra6+glkkCLe1N7hjJqkfzlv7WDAyWYKgSsixlY6ljDHAshBBCHMObGoxYCCHE\nmc326/z5L35FvlJh86UX8cz6i5OSqtlMaEo18REHUK9q3GzA/lWLaK1UueEPm3HD+QumZmNZivas\nTawNw/704E8IIYR4o6QkSwghxBsy1harEoRc9Z8P0DY4xLbzz+e5i9dOWm/qAMJHUxlOntOdNZ5p\nOxcnirhw516u3fQ8j1+9/vg2olTjYTCWRtuayEuCNG0n3ceH1FAojDfa7DNDAbm8YqCSpa9eI5Ov\nEblJW7QlvO0NvAshhBAiIUGWEEKIN6S+K+l57/yXf0vP3tc4sGw5T7ztfLQa76xCT7i8GJxmQGMa\n415NLOsyBirFZFzhdGsdlMWfLjqftlKF3sP9rH95O5vWr5vX95AuuZOmLQ05x1AJbaJRr5n6gZGB\nSetlch655S3zmhYhhBCnH6kuKIQQ4qjKh8uTHmF/lfy2rZz30lOUc2384cq3QwxWrJoPpZPH8aiX\nIY4g1+o0u203lsVvr7iE0VyWi7e/zoqDR2b+YzPl9ZTis6Q7dw2Nh2H26oftXlJVcCiwZ11HCCGE\nOB4SZAkhhHhDPL/MeVsfIbZs/nTVTUSud1xVA8faX001VlUw3zY5uAk8j8evvJTYUlzz9BYyteMb\nGHnGfccWKraxYgsVG5Se8ogMLVaMowzF0EIHGkI95/0JIYQ4s0mQJYQQ4vgZw7mv/DduWOfFi69j\npK3nTW0ujqBWAjcNXnr6JWm4rYXNF55Hxg+49qktWH6EFcQTSsyS3uBVDHaocOsWru+RLqcpDBbI\nDKnmA2hEelO73VAYpZLu3J0YjWLEdzHSyaAQQog5kjZZQgghjlvHwa10DO1lqGMlr6+69E1vr5I0\n7yLXloxZNZOt56xk+ZEBlh/pZ83ufWw/u/dN73c27W5Ef2gzUvdoy4QE03obDAiHpg+UfLSBntde\nunSeUymEEGKhkyBLCCHEcXHqZZa9+j9Etstr518/uat2FTerDEamD60a42EpjXEnjJPVaHSlSDq8\nKBcXg3KwOw9Qs8c6o5hS+VAp/nD5xXzg0d/xtpe2sW9xN74zueOKaYxCaQtLj1f5s6Kx7caoOJyy\nPsR2jGtSFGxNKbKphxYt0jxLCCHEHEh1QSGEEMdmDCteeQwn8nn9nLfjpwuE1AipERMwvcN2g2nO\nm7nFVlTxiH2XVGsVyzl6q65qJs3mdeeRCiOufGHrxN1MopQmn6nR01JiWb5ET26E1lQFmxhlkqDv\nWNrdpPRqpO4dc10hhBBiJlKSJYQQ4pjajuygrX8XpfblHF567O7UTbPT9tnVhvIApDsqzfGqjubV\ns3tZve8gZx84zOtLl7BvcRcoRZvjc062TG93H51rRrBm2JA2MBzm2O+3sae2iKptT9qjAoylMFjk\nLLADzajvoo3BOtrgykIIIcQMJMgSQghxVMVMzAU7foe2bF74sxso2hYm1ISNKnuxbWPszHjdCO2A\nk0wYBUZNr3OnY4U/ksHyIty8f3wJUYonLlvHzY/9gStf3IrXeykXtZfoSSW9DmqjGC7lKVXTlCOH\nwNG4pEg7IW3pCu3ZCp1ehUsKBxjOZdh+uJvdA52NgHDSbihkI4plj2I9oiNzjKqJQgghxBQSZAkh\nhDiqs7Y9TbpWYseaKylm24jr4azrztZN+1R+MQvaIt0xyhspKBppKbD7ylVc0Fvn3V39AOypZdle\naWFweC3uER90ROSF1PMBXtzR/NugQ7PMG2R1vp+V2QGuXL2HtUsP8/zryzk03IpSoExSnTCfS4Ks\n/poEWUIIId44CbKEEELMyh0donfHZmqZAjvXXJnMjAzEmuMJp5RprDWl5mB9MA8Y0u3V6e2qZkuL\nivmLlj4uWGKAFNH2Mv9lr+KA2wpAzri4BI2NWMnDGr/MxZbD3jDNvv5FdPUXuWD5Ic7uGeDta3ey\nt7+d53YvI2gMROy5mpQXMRqAH2tStjRhFkIIcfwkyBJCCDGrrk2PYOmYreuuI25UDzQmBBSGRg+C\nb3CbUc0lqnl4hRq2O7WL9Jn1uBXe1XaYViekP0zx2qtw2f/sYs1izf4rLgFAWz6xXcFYMYFXI1Yx\nwYTYqGbXAINSIUeyAUeGXLZUFvH2pSP0dg3T3V7kfw60sb+cJszGpNpa8ft6GKxFLM1LJxhCCCGO\nnwRZQggheG1417R56sARVhzYwcCi5exbvBJ00nbKmCTEmqv6UA5IOryYiWn+n5RprcsWeXtLHwp4\nttzOn0qLMC0BSzoO0nt4gCV9gxzs7sRg0MSARhOhVYBt8kdNS9F3+cXrnaztqPK2nlHe2zvMs/15\nNlUypAslyn09DNRCluTcWcfxEkIIIaaS+g9CCCGm05oVW57EAM9ddDm+VcVXFXxVIfSqBF41GQPL\nMoBmYmh0tPDLaKgXsygnxmupHTUJFoZrW45wbWsfdW3zs6HlPFXqQqNAKZ6+aA0GuOLlHSh97K7Z\nZ00TipeHcjy8u5NyaHN5d5kbukfwnJi2lI0fG0bqEXGsCfyYWiWc9ji4rzjn/QshhDj9SEmWEEKc\n4XbokD4nM2le985tZIuD7F91AUPtneiJkZNrNwqaGiU7x1PA01jHH81iYptM1yhq6m0+M74hB837\n2g/Rm64yEHr8cngZ5XhyBxRDrQW29y7lvL0HOXffIbavtAhaK4BB2xHa1sRmvJMOHTV6MTQaPz05\nFMxUWimW0zy8o5vrVg5ydj7gJnuYx47EDPkwUA9JOyZpjuYnAZ2nxqsQjlRDlq5oO44PQgghxJlA\ngiwhhDgNbd1ycNq82UpbKiZG+0FzWumYlZufJLYsXlx7EdrEECcBkAGUUW+8IVZDs6pg58xVBSHp\n4OLG9oMsTdXYU8/x6+ISIjNzxYvnzl/F6gOHuWzbLnYuW3xcaTCYaYMSj03XNfzXvhauWTHCmnzI\n/7p4E/c9sZ5iYOiwi9gW1FJJCZyjbNr8c45rn0IIIc4sUl1QCCEEAFHdENUNi3e9TLZeYefqCyin\n8piJAdXcm2IR+zZhOY2bq+OkohnXSamYmzv2szRV47Vanl8NL50lwEo6i6+lU7y8qpesH3Dhrn2N\nuUlAqKamtVGXURmF0rNf/jQW/92f5fkRj/aMz9tWHMIYRcn3MMpCW3LpFEIIcXRSkiWEEAIzGkNo\nUEHAqj3PEVour7dfSvqQwhQmV9MbC1502AhmHKvZKcTRYrBjdXjhKM2NHQfo9nxeqbbw25GeaQMF\njydi/MWL557FeXsOcNFru9nZ1YnvOWDZGMeCWUrAJtKZVmJ3yfi0pcGNecI3MDLKlb2H+OPuZZTC\nFJm2PHD0tmRCCCHEm7od9/zzz7Nx48Zp8x9//HE2bNjArbfeygMPPPBmdiGEEOItdHbfi3hRndd7\n1hG46RnXMZbCWGp85OHjaJNlDNSHcyhLk2qbHqTYGP6y/SCLvTqvVgv85mgB1hSh6/D8mrPxopiL\ndu8b3+fUFZVqtCOzGmmemPgJb2ZsPWWxubKavXEPqzqL1KoKYyJ0pvO40iWEEOLMNeeSrB/+8Ic8\n9NBDZDKTG0uHYcg3v/lNHnzwQTKZDLfffjvXX389ixYtetOJFUIIcWKEWuGGVVb2vYTvZHi968I3\nUzNwmqCURocO6c4yypq8ZYXhvW39rEjV2FXP8NhoO0YFs2wpYaZcvbaes4S1u/ayZv9hXlrdTcXL\ngMWkQC32xv7IoFMOKLCCGOPYaMtlrNt4gwaVjAGGlWJT+QKWLtrDrkHorPbR37YCo5NmalGcvJda\nNWi2eZMOMIQQQsw5yOrt7eV73/sen//85yfN37lzJ729vbS2tgJw+eWXs2nTJv7yL//yzaVUCCFO\nEcYY+oo1DvZXODxUZbjsM1oJCCNNrA22pcimHPJZl0WtGbrbM6zsKdCSO7kD3q46vAVHR2xbfiWR\nm8KuJ/OtrN0IVawk8GpUDbTipDKEshTYirGQRs1QAjVeVbA8ZYnhnS2DrErX2O+neaTYddwlWBNp\n22Lzhat456atrN++n99fcu4b3sbsFAe8XjynxI7DbXxg1Qv8ltZ53L4QQojTzZyDrBtuuIH9+/dP\nm18ulykUCs3pXC5HuTz1ojpde3sWx7HnmpwFq6urcOyVxFtO8mXhOdXzpG+oyuZtR3jhtQFe2jnA\nSPnoJTEz6WrPcOm5Xbztgh4uXdNFNu0e+49mkc9Pr+o3Es08llQNQ7peordvG5VUC3sWnTul9z0D\nWpMOq6T9Kl7kY+mYuOQQ2w7VdJVSwaFcSGNm6BRChxbBSAYnHeBkwknLLs+NckG2wpHA45fFLuI5\nBFhjdq3o5uJXd7P64CAvn7WUgY7cnLc1lbIsUq0pSoMR0UjMn3f28dTQkmZqbdsinUrya+pnP9/H\n9ql+rpyuJF8WJsmXhedMyZN57/gin89TqYw3aq5UKpOCrtkMD1fnOyknXVdXgf7+0slOhphC8mXh\nOVXzpFwL2bStj6dePsyO/SPN+W15jyvX9rC8K8fSzhwdLWkKWZeUZ2Nbiig21P2IkWrAQLHOocEK\new6X2HlwlEf/tJdH/7QX21KsO7uDay9ZykWrO3HsN9aEtlyuT5sXhfGM68aW4bx9m7CMZvvSt2GU\nolAdpqN8mI7SEfJBkUJ1BMscfcBfraCUzzHQnqa/vcCBxW0MtOepD+cARbqz0hxaC+CcdIWrCkVK\nsc0vit2Ex9FJxVEpxebzerlh0zYu376XX191wZTljWqKSa1AxieOT7bDpTQY8fT+Zdy5/kUqkcee\netKFexxr6n4SQE797Ofz2D5Vz5XTneTLwiT5svCcinky16Bw3oOs1atXs2fPHorFItlsls2bN3P3\n3XfP926EEOKkOTRY4ZFN+3jypcOEkUYB5/e28Wfnd3PBWR30tGeave3NJp9xWdSWYfXS8Wpn2hh2\nHyrxws4Btrw2wPM7B3l+5yCtOY9rLlnKu9+2nJbs/FcpzI/0sWRoJ6PZVtqCQ6x94UlS4XigEDge\nQ21dlHNt1NNZAi9NbNkYZeHEIUqPkPYrFCpl2kZKrN5bYfXeQXgeap7D7vRStmXPYrigMI3+lrpd\nn3e1DhJoxX8Od1PT81OT4WBXKwc7W1g2MMLigRGOLOqYl+0CeFkbN2Oxa6CVw5UMb2sfwC8f4mCp\nhyCIGRk6/l4H1166dN7SJYQQYuGZtyDr4Ycfplqtcuutt3LPPfdw9913Y4xhw4YN9PT0zNduhBDi\npNl7pMTPfv86W14bAGBRa5p3XraMK9f20NEyc098b4SlFKuWtrBqaQu3XLOKvUdK/P6FQ/zxpcP8\n55O7eWTTXt5x6TJuuKKX9kLqTe8PwKsWWf3cwwC0VEdoqY5QS2XZs+Q8BtqWMNC+lOGuzvFe+Wbg\newPEdpSUDhmDW32dxQOjLD88zPIDRS4Y3csFo3vxf+2wa3k3+1Z18+5zy1gY/qvYzVA0v4Hj5vNW\n8L+ffJk/27aX//yLdjhGwPtG5DocigcCfv7aKj5+0VauWPo8j+++Gji57emEEEIsLMoYM58dSM3Z\nqVZ0eDxOxSLRM4Hky8Kz0POkv1jj//v9Lp56+QgAq5a28L4relm/pgvLmr8f8LPxw5jfP3+QXz29\nl+GSj+tYvPfPVvC/rlpJJjXzvbKtWw5Om/fi9v7khTHkh/bRvfc5Wvp3oYBYWbzeu479Pecw0L4Y\nNaFmYZgf28dxBFlAwIHmssrOTtoOxqy3X2LN4QPk6klbNbU0zavnLef37cvnNQiyaknV83c8u4Oz\nDw/x+OXns2dJ0uW6n220kzPjtQWtIMKkCqT08uY2DBptJ1UjU3HXpO3HkeHgy2UcN+LKC/bynsUH\nKQcZ/vT0ZThujkzWo7Vjcq+7M/U2ONeSrIV+rpypJF8WJsmXhedUzJMFU11QCCFOF34Q89ATr/PI\npn3E2tDbk+dD71jNhWd1HLM64HxKuTbvftsKrrt0GU++dIiHntjNL/64hz+8cIgPXLuKt1+0ZMZg\n7/XRydXXRixD69B+zt7xR9qGk0Aosm2cOOaRa25gsLOr0USpjKUVftYHQOnGtmd5y1Yck/WrpP2Q\nVBAQMQyAiRUjB7PUUh4vXLCc5y5bwfure+h5pQ+9t8aag6/R1XKIZ9aezZ6li+Y12HpuzQpWHhli\n/bY97O3pSMb1Oioz5bVpvJrcDs1yINVp4w/A9qF2llpZLux+jUvWbWXr9svnLf1CCCFObRJkCSHE\nDLbsGOAnj77K4KhPZ0uaDe9YxRUX9GC9hcHVVK5jcd2ly7hq7WL+6097+dXTe/jxr7bx+xcO8rH3\nnc+yrvysf5saPMTFmx6hY3AvAEcWLWWorZMLXnuRvYuXMtgxucQGZZGqTi6RUVrTMTJIe3GQttIw\nraVhWktF0oF/lFS/mDy9BtpW2K0OtfYMO1d30DZSYfFgkXc/9RJ9HS1sWreaw13zM8bUaC7D9hXd\nnL+3j3P2H2FH7+KZVxyLpyZ0uqEAqxFY2qE9YcVEa8GlbyDG78+xrbSYNmeEZR39rFz5KjsPrCOq\njfeg2JmZew+RQgghTl0SZAkhxASj1YD/+1+v8sz2fmxLcePVK7npz88i5S6cISZSns3Nbz+bay9Z\nyv/72A42bevjqz/axI1Xr+TGq8/CdcYDBqtepXPLb2nd/gwK6OtYwqtnX0pfi8V7n/otWim2rFqN\nUZN7HjRYKKClVGTZkf30DByia/AIbhw119EoyrkCxZYOal6KqpOhpjwi6ujYIq65OHFMXlXpVGWW\n2aPoYkhqaJS1jDb2A77t0D00yo2/e449Sxbxx0vPpZKdWxs3nck23oDFsxet4ZwDA1y2Yz+vre4F\nZ3rAM1ZS5Vv7J80d64nQ2KMYNblWvW7V2E4HJd9huGsPm3auJZd9ht7F+zlitbE7GK96OGAHvF6q\n0Z1bNGkb5b4RprqiW8beEkKI04UEWUII0bDltQF+/MtXGK2GnLu8lTvfdz7LFs3fWEvzrb2Q4m9v\nWcfVOwb4v4+8ykNP7ObZ7f38n/99IRhNy/ZnWfTsY9hBnVq+gy3nrGegI2kLdNaB5yjUKry2dCXl\n7OT32Do6wlkH9tF7cA9tpWJz/ki+lb7OxfS3dzGQ1iQepwAAIABJREFUbucILdQCh6BuiKYOC+YC\njTipNV3n/1y9Bcdp4UdPr2N00KYrKNLjD9FbO8yyen/zz1YeGmDFoUFeXbyUJy89F3IzlxwqrcnW\nA7I1n1zdJ1sLcKMISxvsWGNrQ2xb9LW3sHSgyDWbXmbrmsWUcmnKuRS6MZ6XagZQ44GUIWoGVrGq\nYhRYZjxA004drz2i1r+MkTDC+v/Ze7Mgua7zzvN37n5z32rfgCrsIAGCq0hx00ZbkhfJZrtbM5Zn\nHDEzPT090eOYV784wgrZ0TEvHe1l3KGO6dFEzyjslizbUkuiKO7ivgAgARB77UtmVeWed79nHrII\noACQBCmSqhLyF5GRQObNm/ee7wDn/PPb0gv8uFLiK8Mdbu87Qb2cohp8NB65Hj169OixPemJrB49\netz0uH7Id352jmeOLaKpgt/7zC4euXvslxoa+EG4bXeJveM5/u7Jczx1dJF/9x+e5J83XmFgbZZI\nN6nc+QVmBw+y2lkHQI0CDlw8Q6ionNyxGwAtDJlYmGH3xbP0VdcAiBSFucFx5oYmWCoMsR7YOC1w\n25L4Uo95iaKAlYhJC49c2CTnLbEUDDCvD/Jba09z+HMhqmESPFXhayf+EV/R8RSdjmpR09O8mt0L\nCFJRh6n2AonYZ//yAnt/vMip7DhvTEySMtsMOWsUGm0K9Ra5Zhs1vvG6TVPzZabmy0C3n1fbNlnL\nJ6nkklQKKSr5JK7VrRAYK8Gl/LNQczfuMkANE5fOZ2TXcSrDOPU8+f4mVT3BTxujfDk3y72lo/yg\n9hCutPAUgakC8WZPodfs5stJKZESJrMJevTo0aPHrw49kdWjR4+bmpnlJn/9/bco1xxG+1L8T795\ngNH+d89t2qrYpsbXH9nDkeoplCd+iC5DZrMTtB/+LbRsDlnrEG00E56aPYXte5zcsQslirjj9Bl2\nLi9hBAESmB8YYXpsF3N9YzQ7Gk5d4sxK2ChGq2qQTscMRDUmWwtMVGbJ19dRNrxBrqLzlzsOkAla\n7L3TQx1IUJ0NmGsliXamiRUFKUAPI6ywQzpoYPkBKd9Fj0MqWppU5GLLgIP1GQ4en9l0r6GisJ5J\n0UjbtC2Tjt19+LpGpAhiRSEWKkLGGGHE1Owyu2eXWSplaKQt0i2XbMtlx8I6OxbWL513PWMzP5hj\ndijFUn+KUHv3EFHV8NGSTcJ2Bt/vCqb5IMXrrQPckTrJncZRflo+gu/GRGGEDNuEfkTgR0RBDBLi\nK0Siogj+k6GiawqGoZJOGUz1pSlmLPpyNmMDKfqyv3ibgB49evTo8cnQE1k9evS4KZFS8vSxRf7f\nn54ljGK+eM84X3lgclM+01bluYUXr3lNqTbI/P2TmDNLRJbJE3338rKxA+3tOmNFh6SmIqWG4bvs\nnj2Bp2mk2h2+9NJTKEg6ls3pnfs5P76LqpKmXm9gzHvkrSbjGZfMkEPG7jBAg0LYxrrCMyOFjq+O\n0Ealrei8sT5MMK+zZ2eF5J4ElUDnu8YY0Z3vPrYijhms1Ng5V2FiaRU77BaPkGwuariup3k+fyvT\nqUESuRbhSIhqXMejJZVLtSyW+nIMV6qUqi0eu38fnYSJAGzHp79Sp6/aZmCtyWClwaEzSxw6A6Ei\nmB3Ocn6sxMxwnvhKwSUBKbFyZVrtDM2mjW5F+B2Nx1sZfuLmCCIFaG2+JgGarmJYGoquoCgCoQiQ\noEiJEkMQRNQbHmvrDtOzm/O2bFNlciTHSDHB3rEce8dzJKxeYY0ePXr02Ir0RFaPHj1uOrwg4ts/\nPs0LJ5ZJWhr/6+/cyqGp4i/7sj405onzpP/xaRTXx92/kzcfmEC83c+wo7BYjblY9illBLlUxK0X\nX0SPugJmvLJILZnm9PhO6vt2kKHDfmWRgWSL4qSLrsbv9o3XvKIBCaAgY354oQ9FxPz6zjkASlrA\nf9u3yFpgUA4NVlyLpXqKetsmU+9wYHmO/eszpMJuaJ6jGLyZnuJscpRls8Cn149zuHkeCeSCJr9R\nfp7GeoLnWoc5Wd1BX1gjtiX1nIVqRWh2gGb7oHSvP1ThtQMTPPjaGe58a4Zn7plCAp2EyvRoiunR\nFEo8hhrFDKw2GSmvsWOhxuR89xGoCrPDec5OTLDQX0ACkWcTejYQ024loPWOFAwxLI3dxXVG0nXW\n1AFqdj+pRApVVy6V/jczm8ewZBnsSHerOUopcb2ICUNnre6yUnWYXWkyV25x8uIaJy6s8dgrcwgB\n4wNpDkzkuW13iamR7LYJce3Ro0ePX3V6IqtHjx43FcvrHf7y799kodJm51Caf/WVWyhl7ff/4FbE\nD0j/+Hns104RaSpnH7mFyoFhys4aejxEJq2iqQqL6xHBWoNbz7/BWH0agHouQ+PWIdKTGvcnWqjK\nW5dPGyk0HAW96mGXW1APiZyIsp1mLp/jYqFI2zA3dZZSlBhLxMSOzkoryZ7+NVJGwLRroUpBTgvY\nYTnswIFUHUorBI0YMdci7jh02nA0O8XZwigL2QJCA6HGCCXimfGDzK4V+ezZYyQDj4Zhk/QdvlR+\ngXu1N3mqdAenjXGGFldJhg6z9gC+aqIYAVrCR0t6nOwf49bMHPvPr3Bs/zD1zLU2j1SFxYEs80M2\nL902Sr7usGu6xq65NSbn1jAqKkHe4mxyFP+dqh7EgEDLNDH610naGRRdguJzb34BVczzD+0d1MnC\nhvMvq+1/T7MKIbAtjR39GXYMZja9l87YvPrWIqdmqrw9W+P8Qp2Z5SY/emmWTNLgyO4Sd+zpY/+O\nPKqy9b2yPXr06PGripBS3njm8MfIduv+fCNsx67WNwM9u2w9PimbvHa6zH/84SlcP+Kzt4/wzz+7\n+xMPD5RSIn2f2OkQdRxip4OMNhdFEEJBsSyUhI1i2Si2jbhiw/zcwouoK2tk/+5xtEqVeinD6184\nQjvfzSVreGXSp3YRmjaG67Bn+hiTy2+jypgga2Hdl0PbaSOEIJbQ8nRanoEb6Vgdh8LaGloYIP2Y\npmaymMkyn8tRV0yakYYnFa7tTByDgOZsHrea4vfveIv5ToKnz+xARt1r71PqfNo4w55EBbOkogxb\nCPNyGF45MLjgJrjg2lQj/ZrvsFyfh185yUi5SsfUqeTTjK2so0ioGFkeL93NTGKIQXeVUX+ZGXuQ\nin65dPrezgW+uvgcZwYG+elDu1D0GKJuWUQlNi7fieJf+uq4ncBfSxOtpgmj7jF25LKzs0DKqrA4\nKphfuRvV8kjvOY8dDYCAWFcYN5p8KTtHK9b4fnM3ruz+rqkqOdSNlgDaRh+tlKaSN9qb7vcdz9aV\npNMWhzO3Xfq7F0S8PVPl9TMVjp5bpdnpeimzSYN7Dw5y362DjL5H/7QeHw29dWVr0rPL1mM72qSv\nL/2hPtcTWR8j23Ei3Qz07LL1+LhtEkvJP/18mn947iKGrvDf//o+PnXwXZrTfgREnTb+wiLe4gJB\npUy4vk5YXSdYWyOs1+AqUXUjqKk0WqGAVihQra2gzy4hYolz2x6evGsnsd7dwAskwl9iaL7I+PJF\nCicuIoIYMhr6PQWU3clLIWsfliAWNGONZqixHuqshwbltsVCJUunnCVreTyy5yJ/e2w/wojo01a5\np3KKvcvzqFLi6Rqndw7z9uQwdlZh1HQZNVyGDRd149Kqgc6ZRpoT1Rxrjo2MFGSsIEO4c+ks982f\nACRH+6dI+i57awsAnE8O81jpHup6mqJXZX94nvVignPWOEHL5OsXH2PYW+Of9j2MHNHJZeukUw6W\nKjGVGENIVBkzXSlwenGA5VrXk6SpEeOlKqOFVSYqMxROrWPXu4LmO+OfZdoYJT11npSV7YqsDfF+\ne7LCPakKC36SH9Z3IBGoag5l40bfEVuWhFR4OQcrPZi6IZF1JXEsOTtf45W3y7x0coW22+1pNjGY\n5jNHRrjnwMCW6vf2q0RvXdma9Oyy9diONumJrC3IdpxINwM9u2w9Pk6beH7Ef/zhSV49XaGYsfg3\njx5i7COsHhi1WjgXzuNeOIc7PY2/sEBYXb/2QCHQcnm0fA4lkUS1bRQ70fVS6VdFbseS2HWIHIfY\ncYg7HcJGnXBtDRkE116DrhEUbJSSgT2gIogJX69BLQRTQbs7j9ibRnRCznVKzHdyOIGGlAG31E4z\ntFKDWNJMWFwc7Wd+sIBUNew4IOt7JCOfZByQVCISeoRpCXRboFqbvYDPnB/liXM7+Pzui5TWV0jO\nrZJebWD6IQLwdJWlUo65gRKNpE1NT1MXKULfIHJ11BB2ZZvs619nV7GKoXVzquZraY4t9vPWcgkn\n6Hp+Rpwyv7XyLNmwzfnECC/mDvDg+jHG3DKhUHgpdwsv5G8hVDRAklQ9ShmHAaVB8eQCfXmH4S8m\nsLTLgrfhGrw8O8Tr84N0Nr5nsljl9pEV9vavb8pRk1ISzzpER+tcWMvwnZFfYypY5LYdFVazBWqO\nSjPQafgav7Zjjt35Bq+t9PF0ZQxFtVE0gVBBMQSKCrYiSUZV3tG//ZOFDyyyriQIY46dW+X5t5Y5\nfn6NWEoSpsYDh4f4zJER+vO9kvEfJb11ZWvSs8vWYzvapCeytiDbcSLdDPTssvX4uGyyVnf59987\nzuxKiz2jWf6X37mVTMJ4/w++B2GzQefUSTonT+KcO0OwvLzpfS2fxxgewRwZxRgewRgYQCsU0XI5\nhPrhvQhBpcLCX/17/LlZolIaedsARrMOax3kuo+sBd30oCuQKY3VyT5mwhx3njzFucQo3x15mLxR\nx3UsOorN/uZF7vKOMTvWR6wIck2HXLNDttkm6V7dYRhiBOeSoxzN7GYx009f2mUg1WJPeoV/unAA\nL1T53x9+5ZJ4kZ2IeN7BmfeZLmeYpY9Fq8SyWdwQQJdRCTFVH8wYJRGxt1TllmKViWQbRUAYC850\nkrzZyrDiW5iez2ffOMFYZY2GbfPy7Qfo77TZe/ICpufjmBZP9t3BcXMSruu9k1imjxAxoa8TxCog\nQMTouSbmcBkjaSMBNVIRngKuSuRA1NGJAo3Q13H9a0Mbr8RQQ/7HTx2jL+Xw3eN7eHOp/12OlOi6\nRNNj0nmN4YJGNquQzShkMwJdFzcssq6k2vR46o0Fnj62SKPtI4Db9/TxpXsn2DmUed/P93h/euvK\n1qRnl63HdrRJT2RtQbbjRLoZ6Nll6/Fx2OTcfJ2/+N5xGp2ABw8P8/uP7EFTP3j+lYxj3PPnaB07\nSufkCbzZyz2bFMvC2jmFNTWFPbULa+ckauqjz3+pv/4c5f/r/0E6HuqBNNoDRYSmEAsNX0vRdn1S\nby4iX1yHCCJLJYo1DN+7fB/ATHoAWzoMtBq0VYv/MvwZlsw+BtxVfnfpKTJR59LxzYRFLZ2kkbJp\n2xZVM8VCPMBap0AUdb08mu1j5Tuk8m1uo8OPT+zmgD3Hby39HHXIwh9LoQwlsK3L6q/cTHCmkme6\nnCCo+gw4NUZaqwx11khHnUtSxdM1Kvk0q4UMtYE0uVGNvakOaSWi7phcbKaYbSXxApVbzp9n98xF\nIqHw8o7DXMyMcmDpDLdWzqLKuBtC2Hc3dS0DUmLGAaoMCRSNQLlaIF1RNF4JUcyoG6roX69UukTR\nQ1RdQUoIHZW+qMYt1fMYcQAJhWhXmmS/QkYP2FGoI4TkTCXPXKfAapCmGiZoBwa4IbEXEgYKQSC4\nnmhLpQRDAzq3jY2xYzDNxGD6A5VwD6OYV0+X+ekrc1xc6v572z+R50ufmuDAjvwvHEZ6M9NbV7Ym\nPbtsPbajTXoiawuyHSfSzUDPLluPj9omzx1f4ts/eZs4hn/xuV187o7RD7SBjAOfzsmTtN54nfax\nN4iaG9emqti795A8cJDEgYOY4xObClJ8VEgpCZwV2usnqD/2JP7z86AKtAdLJO7aT1kaSAQJr4xe\nWSN4soJc9ghNjeP33skrwwXi4yXiZouH117nYGuaGLj6SiMETxTv4LX8AUzpsTt9nrAA9XSSUNOQ\nEoK2gbOawq9bgEAoMYlsk5K9Rla2MT2fuyYc/vHCIebraf7lzPeJheCJ4p2cT4yAgKFEg8OFRSaL\ndYqlEHXDgRU4MfWVmNWKpF4DLYoxghDb8dE7EU6coGLkWDXyrBkZqmaGttK9jquZas/zmyvPYsUB\nb2R387P+O8jELX5t6RUmOiv4QuXZ0mFezexHCrXbWPmG54QEIVESHlrWRUmto9oOmt7NbzMYQcaw\nelQDIdg7vMqRE68xsbICwFx/H28f3MXYSMBt2XUiKVDF5aXXkQYLfp5y22DFTxHGCtnhPJnIpNaI\nqdcltXpMtRrjepuvbKSUZM94bqNvVp5s8v09tVJK3p6p8l9fnOHEdBWAiYE0v3HfBLfv6euJrQ9B\nb13ZmvTssvXYjjbpiawtyHacSDcDPbtsPT4qm8Sx5O+eOsdPXp4jYWr8q6/ewsEdhRv6rIxjOqdO\n0nzpBVqvv0bsdns2qekMqSNHSN52hMTe/SjmtT2iruR6jYJvFDVySbhLJN1F9E6D4PEK8XQHmTZw\nf+ce2hNT2P4qdvMsduQTvlEjfKWGiCWzk5O8et/9rFYNquc9ZCgYCFb5g5kfoV5RbD0UgkhVMcNu\nUQQJLGbyHDf38nZ6HH2ijZV3Cas61jzkGh1Kfo1iXCMfN0n7bRJeN+QsBsIjfTQODPGtl25jorNE\nwa+xZBYZcVcZdcsMeOtkojYCEFKiCCCjoWR1REYDTSFEpe4a1GoG657FupKhoadwVANHMXFVE1c1\nSNohOdsjZ7tklQ5JxSWdi0nbIbYW4M22SD2/iOmFuLrGaj4FEhKuT7bloErJqpHhn/ofYMUqkgma\nxCi09OSl8RHEaCIAJJFUiaV2hRiTWFpE2vRIZ5pkMy627ZOwNCw9RGmDFkgMO0RVPKwwoOB0sOIA\nJDRUiyhvUUr6ND2D+XoaXYmx9QAhJHEsCGPBeifBqp/Hj0rkd5ikEpBOC1RVgDCwm2NMLze5uNTg\n/GIdP7jsKRwqJrhlZ5FDU0X2jOXet3rm9HKD//riLK+9XUYC4wMpvvLAJIenij2x9QHorStbk55d\nth7b0SY9kbUF2Y4T6WagZ5etx0dhk44b8jf/eII3L6wxWEjwvz16iIHCeyf3SynxZqZpvPgCzVde\nIqp3q7tpxSLpO+8ideQOrMmpD+St+qAiS8QBCW+FpLuEGVQRQLTm4/+ogqh7+JPDNH73syRFhbQz\nixZ7hGUP54kq+loHP5nk5/fdy4X8GO0TLh1Px4h9Hlp7g9vrpwFwVIPTw+OcHhymbqWRsUbCqbNj\nrczU+jIjzW6hjhCFC8kRZuxBQlSkEAhAkyG6DNGjAF0ESEVgBz47czVKX87y3aN7eKsywD9beJwp\nZ/ED3f8HQSqi68SKJZccQQooOxOodxdQCwaxHxH8YBm5dNnlM2MP8ELuVg62LnBr8wIxgldz+3m2\ncBiAUafMuLPCuLvMYFBFyyqIrI7I6YisTpQzkRmjW+zjE+ou6YcKDdekvvFY61istRNUXRsvSmNb\nJoWMxWAhQcrScP2I+Uqbcwt1vKCbD2caKgcm8hyaKnJoqkQ+/e4/ECyttfmnn0/z0skVJDA5nOGr\nD0z2wghvkN66sjXp2WXrsR1t0hNZW5DtOJFuBnp22Xr8ojYpVzv8u/9ynKW1DrfsLPA///bB98xV\niZpN6s8/R+PZZ/CXlwBQkknSd95N5lP3Yk3t+tBhgDcksqTECBuknHkS7hLKRsUKV8/jXogxf/Qm\nIgjp3H+I9u0DDEUzaIQEgULztQD79RmEhIv79lLZsYdz50JmZQmEoM+rUvDrdDSLhpakqSWIxXsX\n3MgELfa3pjnYvEC/XwPAExoLVh91LUki9unzq+SCFsqGV0xkNIxHR6jFFt954wCDaoN7vRPEKQOS\nGlgKQhcoukBoAk0FRe06hRQhQYCidEvOSwkyBiWO0ZUITZEQSaQfI1shshEi2yF4MXEngnYI7aj7\n2oYTRwKhqaMWdbSSBl5MdKaFlPBU8XZezh0EIZjoLPLl1RfI+G2iPhvjvhxqUe8KCVWAJq4rKuJ2\nCK0Q2YmQ7Yi4HdH0DdZkmgWlwKIoUJUp/FAljBViCbEEKSIUNURVfQ61Zrlr9SwpLUT78hBqRuPl\nhTFWnRSWEmCrHrbmkzE9srZLygwwtWvL/ccxVB2LlVaS5UaSpUaK5WaSpmegawopu/vsuCFN53I1\nyp1Dae7aN8Cd+/retQH3fKXFPzx3kddOVwDYM5rlqw9Osnc8/95z+iant65sTXp22XpsR5v0RNYW\nZDtOpJuBnl22Hr+ITd6eqfKXf/8mbTfkC3eO8XufnUK9jkCSUuKcfpv6M0/Rev01ZBgiNI3UkdtJ\n33MvyVtuRWi/uJvivUSWiEOS3hIpZx4j7N5vqNi07BHa+gD2E8dIvHCc2NCJvrif5JiDIiN8DFaX\nsyQeP4VVb9C0krxcuoXT2ggNNfmuuUWpsENsgtBiUoFDzm1S6jTIeB3M2EeXIQhoCwspBIb0KUZ1\nik5zU4ghKsQFi3AkhZbXEFkNc1C/1OvpRvBDhSBSiaRASkCCGocYUYBGjFA2RI4qQAVxg02ifQ/C\nNkT1ELXmEjZiToVDvCYmMRouv738DOnI4UJmmMWpCYZGPAYKLnnDQTU3X7+UEokgjBSklGiK5MqC\nkNKPkc2QsBbRLsc4KzGyGpB2WhgypK1anEzt5Gd9d6HFAaFyWegrqo+eamGmG9w773Bo/TiJ3x1C\nKoJnz+5lTh2EoIPudouPqAmBqSgMHqgyHDcoyRbmhqKMZHdsVLG5nGTL01lspJirZpirpVmopzcq\nJoKiCOL4sk0nBtLcc2CAu/b1U8xa14zrzHKT7z97gWPn1wC4ZbLAP3t410fa/uBXid66sjXp2WXr\nsR1t0hNZW5DtOJFuBnp22Xp8WJs8dXSB//zYGQC+/mt7efDw8DXHhI0Gjeefo/7s0wQbhQiMoWGy\nDz1M5lP3feTVAK8nsvSg67VKeksoMkIicMw+WtYorlFEtB2yf/dTjOkl4kIS49f7aFk2C80c56oD\njL95iv0rp4kRvJLbz7OF264ofy7JRS321acpBA1a/Xn8tM79R1/CsQ0UCcmN/DIAR9dZT6dwYgPV\nVyj4DbJhu1u5PKsj+gyigQRkddR2ANNt4plO11WkCdRdSdRbMigDFmE75myzhO8K9q+cQzgbnh4n\nAi9G+jH4MYSSSApCRcNVdDzFwNt49pVuzpNqgJWUpEshqWFJkLXwLA1FCBJqTFKNUEW3XoUbC7wN\noWGIbhPh6+m9IBJEjsTw/W7on3L5IL8taawqGCtNrHITZ13yormXF3KHrziDpC/ZYWexxmi2Sd5y\nyGoOCSVAtcQlIRjHkpUlk+mzJu5yxNv2BCtWkUcXf4ajmlxIjDCdGMJRu2JGIEkZMQ8lT3Hn3TXi\nesDZZ3WOju3DxwHANlKYikLy1g3bSUlGuoyJFn1hE0V2PVyaNYBuFkBG+M4KUXC5oXEsBcvNFLPV\nNLPVDLPVDC3/2sIY/Tmbe28Z5PN3jJC0N79/fqHO9565wKmZbijrfbcO8tUHJilkrhVmNzO9dWVr\n0rPL1mM72uQTFVlxHPMnf/InnD59GsMw+MY3vsHExMSl97/xjW/w+uuvk0x2k4n/6q/+inT6vS9w\nuw34jbAdJ9LNQM8uW48PapMojvnOz87xs9fmSdk6//qrt1wTzuRcuEDtZ4/RfPUViCKErpO+826y\nDz6MtWvXx5ZncklkSYntlUk7M1hBNwQvVCxa9ihta5hoY8Otza+Q/c5PUJsdqoMlnp+4nYutAi3P\nYFd7jl8rv0g6cljVMxzN7GbJ6mPRLiFRGFDqfGXmSfJeg/V8gXL/IPn1Vfor5Uv191xNo5LNgCJI\nuB6ZtoMuI0ReR/SZKH0mSp+B6DMR+mbvkXQiZNUnXPaIL3aQqx4i7C4ZMm/wutzJz4p3cmf7NGOt\nFUIUJAJVxKSFQzp0sL0OWhR3c6kSKjKhESRMYlNDmipYKsJUweyGF4p3mvSqIFSB1BSkIpAIhAKa\nJlE1CYrAizRano4bagjA1gNsI8TSQnT18tImpbzUrysuuyiDFkJViMsesuwRVgNEECOARbvIj0uf\noqklMbSIUsLh0HCZff1rGFp8zbzx/O44aWGEaimEls5zF0Z5+sIEahwy1Vlg3F1mPFgiCHUuJkY4\nlxxl2SoB8JmpaR7aNc/6okLrR6ssDRY5OzyKZWU2i6wNLEtnzBwk4a4wHDfx2rMAKKpNsngbiex+\norCJ15rDa8/hO0vdWMwN1jpJzpSzXFjLMVPN4kebQ0mzKYNDk0UePjLCxGAaRQiklLx1cZ2/e/Ic\n85U2uqbw+TtH+fKnJj5QCflfZXrrytakZ5etx3a0yScqsh577DGeeOIJ/vzP/5yjR4/yN3/zN/z1\nX//1pfe/9rWv8Zd/+ZcUCjdW1Qt6IqvHJ0fPLluPD2KTthvwf37/LU5MVxkpJfk3jx6iL9fNL5Fh\nSOv116j+7Ke4588BYAwPk33oM12vVTL5Xqf+SPj53HOk3AXSnVm0uOuVcIwiTXsc1+jmTYWRpFKJ\n0V44wb5jLyKk5OniEV7ayBsqKm1+fel5xppLSCAQKmdG9vNE6hCdUMNSA76w8hIHaxcIdZ1QUbG8\n7mb8nS5PnmoilRgjCFB0gTJooQxZiCELZWCzoJKxxKkLqjWd1ZpJvaYyvLjIaG2FObPE3w5/nkA1\n+PTELA/bp/DeaKEudCsGtlWLN9OTTPePkkpF5CyPVCIglYhIWCFJMyRl+iSM8MYrpm8QxYIwVoji\n639QU2JUJeZDtD9DhjGol/OvpOyOnfIe1ygll0IdBfLyh6A76AKkEEQB/Hx6lJlGnvFsjbdXi5Sb\nKfQ45LA6zf5wAVoh80GWs8lRHrhvjT39NZ69MMpbb6aZcmcJB3SaQ3nkVO3S9/cnSliWzqg1CsD9\nI58icNdorb1Be/0ocdgNNbQyu0iX7sTK7ELaR7nuAAAgAElEQVTKCL+zhNeaxWtN47VmkXKjsqQU\nlDs5Ti6lObeaZ7GeQl5RHl9TBfvG8ty5v5+DOwrk0ybPv7XM3z97gWrTI2lp/Oand/KZIyPvW8Xw\nV53eurI16dll67EdbfKJiqw/+7M/49ChQ3z5y18G4IEHHuDZZ58Ful6u+++/n9tvv53V1VUeffRR\nHn300fc953Yb8BthO06km4GeXbYeN2qT5fVugYuV9Q6Hpor8y986iG1qRK0W9WeeovbkE4TVbqW8\n5KHD5D7/CIn9Bz6R6mihV6NZeYlq5RU0YiIEy0qaOTVPG4NWXaO2alCtGLRXVT5XfpnbGudwFIOn\ndt6DM54l59W59eQJSrX1bhE9ReHcvsM8nthHo6YjkBxpn+Hh5dfQZXhpOxwJQawoaFHUfS2hoox0\nRZUyZCGKxqYx6DSgsQp+OUKUXZSKgx4EaDIiRtDUkzS0JHUtRUPvPtf1JDKpk0pH9KUdRuw6Y0aV\nbMJDSanvmkPlBQptT6fjqjiehuuqeJ7A9xW8QMULVVxfxQ01vEjFjzRcNLxYJxQakVCIUYiFgqmF\nTPXV2F2qsqtUJWV2izrEMSzU08zWMszXUqx2bHQlxtIjbC3E0iMsPSShBxS1FjtFBd2SyJSOal3/\nuqXshtt5oXKpmIWhxdi6j/7edUTe5XwSGYHvK3RclbaroUUh2U4DrxKSOJzGTAt+/PIop8pFAqFR\nDGqkBhpEByOUhLyuyLp0/jikUztJs/IKfmcBANXIkS7dQbJ4BFVLXDrOa8/hNi/iNi/gd5Z4RykG\nscW5tQLH5zOcX8vhR5tzFItZi0OTRfbvyLO42uYnL8/ieBGlrMXvPDTJ3fsHUG7SSoS9dWVr0rPL\n1mM72uQTFVl//Md/zCOPPMJDDz0EwMMPP8zjjz+Opmm0Wi2+/e1v84d/+IdEUcQf/MEf8M1vfpN9\n+/a95znDMELTPsTK1aNHj5uCV0+t8H/859doOwFffXgX/92XD+DNz7P4gx9SefJpYt9HsSwGPvdZ\nhn7ji9jD1+ZnfdRIKWnXZ1iZeZbaypuAxBcaS0ae2ajA0nKC1WWdakUj8Lub+XTQ5vcqT9DXqeLl\nEtQemUSZ65B/fRbN2/AwCMHa4Vt4bue9nDnhooYBtzbP8+m14yRj99oLMQTKsI0yaqOM2SiFy3k1\nMoyJVzzksku85BIve3i+QtXIsKZnWTMyrG881/Q0gaKTNHwG0236Ux36Uh1Kye6zrV9b6c73BGEz\nQq17qHUP2QjotBRWHZuqnyCOBAKJkBJNxpfLwcdR989xiCkDrMi/VLlwEykVdTKJOplEDFmX8qoi\nN6ZZEVSrOmuOTUtL0FYs2rFJKzBoeQYN3ySMr11XzMjnN1eeZVdngbqR5KcT9xHkbIYyLcZzDQbT\nHdKWtynk8ErCSFBrG7RbKkEb8EJMzyevt7FSICwFYakca40QonLLYAXbuHbsruad5Viu+xuhjD7R\ngoNXl8RCAV2BjI5RyCOTCcaGJtHSafR0Cj2Xxyh0H6HaYXXlVdaX3kDGAULRyA8cpn/8PpLZ8c33\nEnRorp+jvvo29copQr/VvQZUyp0ib8yleHulQM3ZnIOlqYKDkyWklJy4sEYUS3aNZvnD3zzIoV19\n73uvPXr06PGrzof2ZB0+fJgvfelLADz44IM888wzAERRhOM4pDaSyf/tv/237Nmzh6985Svvec7t\npmpvhO2o1m8GenbZeryXTWIp+cHz0/zDsxdRVYU/eGQ3t4lVao8/RufkCQC0Uon8Z79A5v4HUBPv\n3Rvro0DKiE7tFM3yi/idbl8o3R4kMA/zfx9dorJs06pfzlUx7YjhYotPeacZf/0MwovxJzM4sUZ2\nuut5eyfMb32oj/O33EPjRIVia41Rp0IxqHOlf0CqAmXQRB3tCivRb14SHzKIiRdd4gUHdzGk3LCp\n6HnKRp41oyumWto7YZOSvO0xmGkxnG4xlG4ykOmQtgKuREpwAo1Ky2a5nmShmabSSrLWsS57O6Rk\n3FnmjvppdrfnUJC0VIs3sns427cTOxNTMNoMGE0ySgdTi9EsgWoqSF0liASBpxB6giCAQKqEikao\nasRSdEuityOiWoisbxTYoCvgFClRZIxC9xkkQhEIESOFwEPHFTq+6BbbcFSTjmKytz3L/evHkULw\nWN89HM/sBkCVEUhJlg77jCXGh9sMjvjkMuGmMbnaaeMGKuVmgvW6QaOmslqzeCsYJeW3OexewLQl\nZiImnQvJZkNSyQjTjtFM0c1He5dYRSklMpDIToyseshlj3iug6z47zpHlUQSLZeBhEJsuEgrQqQ1\njL4B0jvvJr3zHhRjs3CSUuJ3FnEaZ3DqZwmc5Uvv1b0UxxfynFwustRMbszWyyRMjc7GjwS3TBZ4\n9KEpxgc+3K+/25HeurI16dll67EdbfKJerJ+8pOf8OSTT17KyfqLv/gLvvWtbwFw/vx5/uiP/ojv\nf//7xHHM17/+df70T/+U3bt3v+c5t9uA3wjbcSLdDPTssvV4N5t03IBv/eAUR8+tMpBU+B/GWiiv\nPEew0t382Xv2kv/CIyQPH/nQfa0+CHHo0Fp7nWblFaKgAUCg7eTE6g6eOSVYb3Q3vUJIskWfYr/H\n7r4qt2pLGC+vEL1RRyqC2FJRO90NaairaEFEpCm4SQut4WPKKzbzG89KWkOZSKDsSKCMWJfC82Qs\niZc91mcFy2WT5XaKZbNI2cjT1DaXd08ZPqO5BiPZFqPZJkOZFtZV3qm2r1FuJViqp1hopCg3k6x3\n7EtlwzcnIYESB+Rli6JskRIORAItCBhvLzPaWiFGoa1ZnM+M8XZ2BxUlSyS3VtSCGocYcYgqIwJF\nIxQqkVCvUVHJsE3BcMjmQ3b215ks1cnaPooAL1SQUmBq0aaPhZGg3EqyUE+x1ExSbiRYdyycQEdy\n5ZyVDKVb3L9jjoPD60QhxK0QzRDdoiDXKZ8oJURBt/CG4gXIekC84EBTQEci2z7SeQ8hlklg9A9h\n9A+il/rQ+/owBofQB4dQbZvQb+A2ztKpn8FrXryUy9X0bN5cLHCqXGS+lt6Ux3Ul+ydy/P4jexkq\nfvy5kL9seuvK1qRnl63HdrTJL6W64JkzZ5BS8s1vfpNnnnmG8fFxPve5z/Gtb32LH/3oR+i6zm//\n9m/zta997X3Pud0G/EbYjhPpZqBnl63H9WwyX2nxF997E69c5hE5za7K20jHQWga6bs/Re7zX8Aa\nn3iXM360BN46zfJLtNePIuOAGI2Z+jg/OVViud4NzUtaGrdOFamZpyn0eQxqLSajNZKNDv5PVpAr\nHlKAkBCqgtjQ0R3/XbangEK3WMWORFdcbYQASgn1ZcHMnM3FRoE5L09NSRIpm/NnNCViKNNiNNti\nJNtkNNckZ3uX3pcS6o7BcjPFfD3FUiPFUiNNJ3jHAydJGx5pzUX1AlQvQoljgljgCQNPGLhqtxQ7\n4qMVuAKJImJUJEJ0t/Dd542HYOPP3delFMQIYtl9NZai+5oUSLoFHiQC+THkCwliEqpPPukykmux\ns1hnNNvA91TcSEPXYvJJr9tgeYOOr7FQT3fHvZ6k0k4SRAr+Rk7ag5OzfHb3LMuNJH97bA99CYcx\na50d5holtUVs64iMgW5JVCE3iTp5dTGOuFtZkaZE8RLQlETVJtF6nbjhQ+v6YYxqNocxNIQxMIgx\nNIQ+0Eec9fCjBZzGWWTcFW8tz+DkSpFTK0Vmqlliee0YDxRsvnjPOHftG8A2f/FedFuR3rqyNenZ\nZeuxHW3S65O1BdmOE+lmoGeXrcfVNnnxrSUe/97THF47yZ7OHEJK1EyG3Gc+R/bBh9Gy2Y/9mqSU\neK1pGuWXcBvdXlxt3+L5i4O8Nj+IG2r0521u21XiyO4SwWoHRcCJ5g/Za6+T03zCix3Cx1Zgo+x5\nzKUidNf/TltBHU+g7kigjNkIU6Xl6SxUk1wsZ5hp5qh0ktfkGakiIqEHjOebjOcbjOaaDKbbqFds\n7B1fZX6jOMRCLc1CI40Xdje8ChGW9NHjEGJJJFR8oeMr+rs2On43VBFjaBGWGmCrAQnFx1J8TNfH\nrrVINVtYkYdhxtiTJuaUhWIIVpo2M+spTi0VcWKrO0pCIGRMv1dllzvLQLxOn1sj22lztawLVIVG\nKkE9ZdNI2biGjpSQcj1SLY96mCYYLTC4K6Kgt/CXIxqrArcmiR1JGAr8WMdRTZpagrZq09YsHM3C\nVQx8oRGLD+KBk2hKjK0HFM0OI2aNAatFJhVQKIZkkptDMlfbNvO1NHMbj6QRcHBwDV2N+MGJKYL4\nsjjJ2w4jmSYDWgPZCRCWSrogGcy0ydneNd40uCy+rg5JlJFANn1kI0Bp66hODhox/vIy4draNXcl\nTBNzbARtTxGGFSKzjqQruDq+xtvlruC6sJa7wvvZRRFwYEeBu/b1c9vuEunEtT27tiu9dWVr0rPL\n1mM72qQnsrYg23Ei3Qz07LL1eMcmbtvlZ//pH8iceJEBvwqAOT5B/guPkLrzbhT94+/JI+OQ5tqb\nrC29gBqtAjBfS/HCzAhvl4tMDue5bXeJ23aVGCwkLlXtO/3Gq+jui1CeI7rYQZ5uQfD+/72KPgNl\nRwJ1IoEsmZTbKeZqaWbWssw0crTczfesiQgJZG2f8VyDiXyd8XyDYvJyQYwoFiw3EyzUNiru1TPU\nHBPoihZVRoAgEgryBr1QmohIGAFZ2ydruWQtn5Tpkza7z0ndJ4wVNEVSSjmbNvlBDG6kogkwGw7R\n8TrR6RaEklBReSszyRvJ3YSKSltL4KomWhxyV+0k91bfwrgifNLTNaqZJNVskmomRS2doJ5O0LGM\nawXhVcMfWCG6FzLa8DmY9tk50EZVuuLg1blBlk/BkeVTjHoVBJfz5C6NKwJXNekYNi3VompmKKeK\nrCYL1OIEbqQTSaVb5v19xKkuQop6m4FEi6F8m/H+Fv0Z55LHq+Nr3QbCtQxztTTLjQSaKtGVGDfU\nNlX+U0RMf6qDoYbUOybNwGRnocb+YoWpzDqZdLeM/9VVNmXc/a7r5YJpZgkrsQvNyyGrAWG5gr+8\nhLe4iL+0CNGGB0wBZdhC3V9AmbAQ5oadAoXTlQKnyiXOVvLXLUCydyzH7Xv7uH13H8Xs9m5u3FtX\ntiY9u2w9tqNNeiJrC7IdJ9LNQM8uW4+M4nP029+l9dzTWKFLjMA8dITBL37xY20cfCWtVo2ZC89h\n+CcwVY84hpMrJV5bHKNY3MHhXSUOTRUv/foeex7O9EWax5+ndfoY8UoTnPia8169UUcXMNb1VoUj\naRb8HLPV7kZ6vpbe5LFQidCVGC9W6U85jOfrTOQb7CjUL5Uvh24+0FItyfn1HNPVPAu1FDHKRlMn\n3t8bJSWmCEkIl0LCYaDgkrM8sgmXfMona3mYWowfKtRdk1KyA1G3IfA7G/QLaxm+e3wfbd9gZ98a\nd+6eI6WH9Os+ttodl46vcbpc4MxKhnDW53DtLOPOMobsbtjPJ4Z5LbuPTNDi3vpbBEmF9WyqK6oy\nSarZ1PXF1A0SmOGmvyeIOKy2OZRoY2sxUSx4a6nEsbN5Hjj3MkPeOiEK3SLydA2pKxDGXbfk1cMI\n+AkDbyBJO5dllhLTQR+VME07NK7KwbquITDUiLzlMpRpMZjtUEw4FBIOKcNnsZFmZkN4zdfSXU+d\n5iOQVH170/kNNSSSgmhD3PRR5QH7HLtKVax+FZHREcZVzaffCTUUXPNvTjX7sdNjGIlRDHOAuOrj\nLy7gzc3hL8zjzc8T1tYRAybqVBJ1KolId38giAJYWjY5tjrMsdUB/PjakMGJwTR37Onj9j19DJe2\nXw5Xb13ZmvTssvXYjjbpiawtyHacSDcDPbtsDaSUuBfOU338pzRfewURxziKQW3vHdz99d/F7i99\n7NdQrnY4de4MtF5nLLOApkicQOVkeZTIOsS+qXH2juVRZYQ/P0fn9Ck6J0/izs4St64/h64RVYDI\n6YiJBLWhEgtGiflGhrlahnIrseloUwSgQBirDGVaTOQbjOfr7Cg0MLXLuTNtT2NmPcPZ1QLT1QxV\nx77Ot151DVJiCY+04pLWXRQ1xIraTNlrTBXbJPs0REa7rqD1fcH/d+wAi40U//rTb5CxuuFhYQyr\noc6Cb1EJTJQYBiPJ7nztUrn3lqczt5igPhOhzzYZdNcobBQNmbGHeLZwiFTkcmftJGNuBYBG0uLN\n3WOcmxgi/Ahbe1wtsgBEGKEh2Wc53GZ1KOrdY6ZX01R/3mHv/DkEkgv2EKGqMtleQpdX5DFpwLWn\nBbqer7qeomxlyLkNvjf8eRpakr3GEmsiw6qf4kq7CeSG8+1aGyhCkrNdikmHUsKhlOwghKTlGSw2\n0syup3FDjYTiYekRrcjEDa/0gl6emf1Wk9vERW5ZvUBi0EQMqog+HZHUrg0nfJcwQ6GYmMlRzOQo\nRnIEMzGC9GK8hXn8+Tnc+Tn8xhxhoo6yM4GS616LDCULKwleXh3l9GqR2JfEiE05hYOFBHfs7Qqu\nHYPpT+RHll+U3rqyNenZZeuxHW3SE1lbkO04kW4Genb55SLDkOarL1N9/Kd40xcBKBs53iwd5FP/\n4sscOfDx9beKY8mFxQZvnFuhVjnNnsIFdhbqANTdJE3lIKPjdzMgPNxzZ2kfP447fYFwff2Gv0PS\nrQMRjiYpDw2xkBxg3s0xV0vT8S/noKjEmGqIL1WEgNFsk4l8nR2FOqPZJtoVPZqWaglOrJSYruao\ntBN4ocp1RZWUmAQkcVGJCTSN0XyLvckF4paDEsCw7ZDtA7VoIKxrBUx3Uy03VWv83vE9HF/q59NT\ns4wMr7EcmKwEJs1IZcJ0mTQ7TJgOxkaom9NWaMzEiHN10vNriCtWGVfReTM9xWv5fdS0DABGtkNy\nsM6AU+XguTkm58qoUuLpGqd3DnFyapR24hcPJ3s3kXXF3TNh+Byx20wYXSFZm4mIf1Ym4Tis6Rl+\nMHgf7aRg0p3njtYcfc0GeNf3YMK14YYz9iANLcmh5jkCobOQLDE3NM6KWWQhyOFtCgOMMJSIOBZE\nsUIsxHW9YSnToy/Z9XZJusUoVts2bU/D0rphnkGs0vCuHkNJ3nbZm1/ldnGRYi1E1Q3irA+FGJE3\nEPoH8XYVsJLjmMkRjOQoutUHUYy3uEhn/gTV9VOIVAMt2z1nFMP51TwnV0qszqsM1VeQQrBiFVkx\nCviKTj5tcvuGh2vPWBb1E6gi+mHorStbk55dth7b0SY9kbUF2Y4T6WagZ5dfDn6lTP3pp2j8/Fmi\nZhOJ4EJ6jJfS+yjddiv/zed3U8h89HkZjhdycnqdo+dWOTuzyL7SPHeMrpDdqLS3HgwQuEOYZ8to\nFy+grpYR4bu4Jq5CagoSFREGCKCZTnN01y1MiwGWminiKxL/E6qPqsS0QgNDjRnP1dmVW2d3cZ1c\nJkBRNvostRKcX80xU81SaSfo+Pp1S2Sb0ieJi5TQwCZSdCBmNNHgdnmO4fUKQVGj0Cex+zVEVr+m\nDLiUEuKNsL+rNsydSGHZNzm+UuLo6Ql02yO7q4ylRuy0HCaNNuOmi7pxi2E9Qp5vEp9vI8vdsXUV\nnRWzwLJZZMkqsJzP01SSRF5XbBpph8RgHT2xuQiE7Xjsu7jI/gsL2F5ADMyM9HFqcoSlvtyHDhe8\nLtF14v6AguZzONViT6KNGsb4z68j32oQAy/lDvLzwmFCRUOz20wm69xnTPP/s/dmMbYlZ73nL2LN\na8+ZuXM+U9Wpc8pVdk02nrDF2JfbokW/IBkMbiFewFJL/WDxgIQQAgvMA88IGYmHBmRbcj8g+t7b\nGGwwDW7joUaqzjzmvHPv3OOaV0Q/rJ3TyTzlU+WyK0+d/ZeW1rjXjrUiVkT84/vi/y3sbKFvjNCj\n/Fi74nFWzoPHMmBt+TTbUzNsOg1W4gbtYD/um0BTdwJMkZNmBlleSLunGPdYrQq4ZkrJLt5tmJoE\niYGjUzw7JxHWWElyP0WWkbNc63Nhqs0Ze8iiNjETjyzZIi8NkTMW+MaDz+0SJra/hFtexi4t4/jL\nGFaJbmeVW6//K1Z+i0q1ILNKwc1OndUVh9k37nC6s0rHqrHpTrPuFMuoPsv7LyzwwsUmT59tYL2D\nVs4fFpN25WRiki8nDw9jnkxI1gnEw1iQHgVM8uXHB53njF55ie4/f4PgP18DQPglbs09yX9Tp4n8\nOp/6ufP88s9fZHt7+I7971Y35JVr27x8vc3lOx2Wa11+4tQGT862MaRGKYleE6jvbpKv9o+mm2Ps\nRIZATFtQsclGFr2dHE/FeGnMyHT5f2Y+ypXyaaAQIpi2RmhD0A59akbA841VHm/2qE4rbFvTGvm0\nhj6bA5+VXpXtkben9ncQps4o6QipckbCJZE2pqHIldwjX0ts80JwlYu1Fu5ZB2POOb4zfB/XLyjE\nKd4IS6wnHhupw1CZqEzSuTxP1Ur5xGOXOV8eUK/qvd+rToK6PiK/PiLqKDadaTbcMalyZthxfaSp\nUYl16K1alZDSXB+rdP8YTgBGnvPY3S2evrbCdK8oH72yx+Wzi1w9M0/kvgPqdPchWbvwZM7TpSEf\n8Ie4myPSr7fQ/YzAd/jv8y9wVZ7fey7PTnhqrs2z7l1mX7wFGxEayKXAUEVuBcLma82PMJ12+VD3\nEq5Oj/1fBURlj2S5QmeqyarT5O6wxlqvfEhEwhUJ03JA3QjIbZPcMMgxSLXJMLXphu4Rkm4IhRSa\nVEkMlePqGIUglN4hAmsZOafqfU7VBpypRZyrlnD7FnHrJrnZRcyYiLr9lsi7YVWxS6cL4uUvcacV\nc/vWS5S4xVKtyGOlYb1TIr82ovnGHcQoG78TQduuseFMs12aofz44zz+wpM8++Tiuy4NP2lXTiYm\n+XLy8DDmyYRknUA8jAXpUcAkX370SDttev/6TXr/+i/k3S4A7vknWDvzLH+75jFMBReWa/zm//IU\ns3Xvh86TXCmur/Z5eUys1rZHuGbGs4ubfOzMBnU/BEC1E/JXe+SXB4fm0dxLqjQgbAMxa2E8XiKf\n9bmzUuHuisOWVedsZ4VnuteQaF6unuff556l6Qcsxi3UMMOpKZqLGqMkyaVJqCxaQ5+toc/WoEQ/\ndo48g9CqsDLoiFQbjAwPLQykUEz5EUIouoFLqkwEmiecDT42dZul2QBryjwiYgBjC4MAEEeMP2NV\neUwBbwQl/rk/jUJgZDlT/QGnwyFGpc7SXMxibZ8Aq42I5EbIxqrN3XiKdXeaDWeKjlUDITCcFLsa\nYldDVGoQbFXJo30yJM2Uypkd7HLMA0Nr5to9Lt5c49xKC1MpciG4vdTk0rkF1puNt2/d+gEkay/d\naN5Pl4/mW3A3JH+5Bxq6Z6p8fek57gSzxCMXPbZeOkbKJ4zLPHv3dexBRC4FK9PzyDSjk1f573M/\nyVTS4zfu/D02x8eq2nt8IDMM9LyHteSwfWqeu1GDu2MRjNEBN1SJwpMpnopYktucbg6JPY8Ym0Sb\ndCOX1tCnHXjoIzGtChJu6wxXxwilGBkemSysZIJCJv5Uvc+ZqZjHpg38nQ7J6jrCKNwL5cx93FDv\nq2Qosb05MusMlzY82u1VlsrrnG7s1wc7/RLRSk78RpupzfYhtcmCeNWJZhapPvEYZ55/mpmLjyGt\nH688/KRdOZmY5MvJw8OYJxOSdQLxMBakRwGTfPnRQMUxw+9/j/63/o3gjddBa6TnUf3Yxxk9/WH+\n+qUBN9f7eI7JL//UY/zU80vIccf47eTJKEp59UabV661efVGm1GUIdBcmNnh4wt3OTU3QBqgMoV6\nuUf2Wv++gVe1EOhSGXwTcwHCZ2ZYCercaVW40yqzmVbRGp7pX+On2i/iq5ih67N+egnQdIwycb2C\nsk1SDPpJ0ZHthse5P2qkVrg6wSElliYB+y5htpFxqj6g7MSMApOVboXcMDnT6PFsc4PHGl38Un4f\ngYLDc6mgsApAEaMIYC122Eht3u8PsaXm5Q2P7esJM70hi0ZEvSkwzvnIxlhFUUG4nrG+6vDG5jS3\nmKVjVdB7MaM0pp/g1ApiJa2cqFMi3K6gEhPQOI0Ab2ZA3C0RtgqxB6cxorTQxbAejOTsvZ8k5fyd\nTZ68uUajPwKgX/K4fHaB66fn3vrcrQckWbtYaO3wX9+4hHHaQ69FsBWDLRg+N8vLS6e41JkiGJaI\nhi55biG04gOD6/z0zov4aURqmlxdej/fdR9nLS9RSYf8RO8SZ4M1ppMuD+oAp+sW1jNVxJJHzypz\nd1ArJN93qrRGhwVVXJkgBCQpXPQ3eLa5RXkKEtNimDpsDX1awxJbA5+dYyxfaI1JTkmFODphhMvI\n8EEIam7E6Uaf040RpxtDZuIWejOClELBcMpEVO4jqHEfa1c7nOKl9SWydMSFZpszjd5e+Y1Vmc12\njVtvRBh3+8xFHebiziExEiUkcX0W/9xZZt53Ae/cOeyl5R9pCIhJu3IyMcmXk4eHMU8mJOsE4mEs\nSI8CJvnyzkErRXj1Cv1//zcG3/0OOi5iNbmPn6f2iU/C+1/g77+zztdfXEFr+MhTc/zKz56nVj5s\nyXmQPMmV4ub6gNdutHntRpubG4M9hfIzbodPzN7k7OkAkxy1FZNfG6HuBBAd04mWEmumib20TCvL\n6cshW40pVvIp7nQrdENv/1KheEbe5mNrLxFHkhuVJdbnFogcn1QYjFKbXlTEoDoIS+ZIoUlyga1S\nPCNDutCLPHK935WuujGn632Wqn1klHJ3zaUl65xbGHJ+pstCZYhvZ0dDQO2yJ3HYShWmkji38Owc\nRxYj/v3c4ErfZ2tD8b5SwNlTCnJI/qWFUGCc8ZGnvT0LRJbBle1pLm1OcaXVIMptDtv7NHY1wq6G\nONUQaSny2CDcrhB1SmglQSjcqQC/2cdw9jvA6chmuNogC22EVPhzfbyZAQ8YruvAC9DMdvpcvLnG\nY3e3MJVCA+vNOtdOz3NrqUlqPYAL2Xd+qBIAACAASURBVFskWQBnbq/wsy9dJzclWxeaLF5tIRKF\nqJrwkRnuNBa50aqw2iszyG2S1CKODF7oXeZjO6/hqYTYsPhe4ym+XXkfnqkZKJMcyWzc4Sc7L/N4\nsIo5Vhv8gTY6QyCXXOQZH3nGJ/bdcWDjKjc7Ndb7FTK1/4JNMixDESuTsp3yeG2bp6e3WJgOsV3N\n9gFX1rvdgrSFqXkkJVIrPB1TISBDskMZwxIF6ar3OdUYsOR0sToCGbtoEaEqCaJhHhHUgKPWLqXh\n9c1pvn1rgelSxIXZHR6f7u4pbebYbIdzfP92mZWbiqlhj/m4zXzUZjbZOUS8tDSwl5bwzz2Gc+Ys\n7tmzOEvLCPOdcTOctCsnE5N8OXl4GPNkQrJOIB7GgvQoYJIvPzySjQ363/4W/W/9G9l2EbDXnJqm\n+vGPU/3YTyKmm/zjd1f4+2/dIoxzZhsev/5fLvD+c9PH3u9+ebLdC3nt+javvrHGpbUhYV50voRW\nnFObfLR+i9OlLkaSotZi9FYEyTFVmpRYs3P473uK8NQT3Ljb4drdLVasMht57dAcF89KmasMccyc\nZKQJhiaJZRMLizA9KkLhWSllu7AUhKnBKDRxzQzXVSS5wfCQa6Bmthxwut5nodynGXXorArCUpnK\nsmShHlDz4r2AtHu/2lV0A0gUWAJhSJSGTuiyE3lIFHU3ZtqP0Iki3cporSvCrZRSZ0Qti3H+p1mM\nZQ8V5ehhjpyy9jq0w9jgcmuKy1sz3GzXSZXBQWIljAynFhXkqhwhDI3WkAxconaJpF/IyEszw5sZ\n4k6PkObxBEZriDolRus1dG5gOCmlhS52NXpbXn92knJupcX5OxvMtwu1yMyQ3F6Y4drpeVbnGuj7\nqdK9DZJlBEPObO7wU6/cIDMMvn3+g5wZrnNqdQWhNWLBxfr4FKN6hes7FW50KvQiGxGXMHXE0upd\nnmtfxlMJkbT4fu0i/zl/kbBsE+1IFAZOHvNc/yovdC9RywM0ENkmRq6x8gPCGp5EnvHR/Qy9GUOu\nETUTecpHnvKQSx7KkmwOS9zZqXK7O8VKr84gPCgdr3BkRo6BZShON4og1481dpitFoGlk1zSGnpc\nazW4tVOjNSwxSq1jXA6LeYRlHeKSEGFhlSWnp/qcneqzXE9pyhrm0Cfpr5JZHURDIEpHyc5Ba9co\nMfnalXNc2pxmuT7k4myHC80O9bGAjUYwzJtc2mjw3Vs+rYHLdNJnMWkzF24zH3eYTTqYej+/hWli\nL5/C3SVdZ87iLC69LeI1aVdOJib5cvLwMObJhGSdQDyMBelRwCRf3h6SzQ0G3/0Ow+/+B/HduwAI\nx6HywQ9R/fgn8C5cRCP49uub/F/fvE67H1NyTX7pJ8/xMy8sYRr3N1Xs5km/H/L6qzf5z8vrXG7F\nbOt916+ZuMMLwVUu2JuUiaCfwuh49z9hmtinTmE89QytuSe43U25dmOL2wPFSBwmPVUnxjJyMmUQ\nZwaZkuNR/6NkqlkKKDsJgkKtrT1yGCU2vp0hhaYfO4cUBV0zZbk+YLEyoC5GNHsdzGFANlfGmzep\nlHNsM7+PlUqjY4XeilGbMaLpEMzVaaUe26HHKHKp2DGn3R1mRl30doxqxaSbGbIf76feNxDP17E+\nUEUeEChQGlYHJS5vTnN1a5rNe2J2gcbwY9xahF2JMNx0L515ahB1SkTtEiotOqSml+A1Bzi14IGt\nUiqTjDaqRO3ChdD0Y0rzPezKW5ivdQ/Ko5DzdzY5f2eD2rCYixc6FjeXZrm11GRjpnaYcL1NkgVw\nbr3HJ1+7hhKCbz5znl7J44NX73J6a6e48LSH/eEGcs5lIzS42fO5OXAJM5umnXHu+hbLN1fwsphU\nGPxn5Rzfn3qSdqmCSiRaG6AVTw7v8KHeGyxFrUI8w7a4tTCDE9rM9lqUVIj9iWmMJyuoVkz2r230\nZlzwcgFy1kGe8jBOeYh5FyEFvdDmzk6NleEiNzYdtkcW+kBBNMiRUiMFLNeL8AJnGn2W6oNDgwCd\nkc2lrWludupsDkoMYudYNUwAS6eUdIRDiulqmtMJFxdinpirUB3ZZJ0WSb6OKsdFbLljBFpUrlnp\nVvh/by9zpTXFXDnkwmybC80dlmuD/TKKw/pghu/dLnG1VWeY2BjkzMRd5qIOC3GbpbTDTNRB3kO8\nnNOnC2vXmXO4Z89iLywijDd35Jy0KycTk3w5eXgY82RCsk4gHsaC9Chgki8PjmRjneH3v8fgu98h\nvnO7OGgYlJ5+P5Wf+DDl5z+IdF2yXPHt1zf5+2/dZrMTYBqCn//gKX7x42coucfPg1BRRPvGbV5/\n+QZX14dcCyy2xnGT/CxkMWpxcXSH5aRFTQfI5P7iANLzEI9fpHv2abZKc6yEkhu3NtgMBAeJgyky\nTEOTa0mWy2M7g56V0iwHNEsB016IoXK6qcvmoMxmz0UbEsdURKlJeEA2WwjNfGXEUrVP0x5SG/ao\njXpUyxli3sWsW1iOPkKolII8B0NqGKTkV0aolQC1nUCq2X7qDFfOPk0n8KknPU7lt5gPu/j9EbqT\noPuH5eYT1yZ6fArOVvDnFGVvv4pPcsmlVoOrW9Nc224QpvfmTWG5sishlTNt5IFYXVpB0veIdkok\nfRcQCKlw6gHu9BDTS9+29kQWmYw2aiS9Ym6aVY4ozfd+oPrgm0Jrmjt9zt/e5LGVLdxkLGXuWNxe\nbHJzqcl6s87baQF3SZbAZHG7y0+/fBUjV/zH+85y+dQcc50+z127y3y3uC5Z8vE/UsdcKAYNNkOb\n66HP9cCjETVYunGN+ZsrNLLi+pveAt+tv4/r/tKecAlAI+ny4e4bPDW4haNTNNCpTfPKxfNsNGd5\nXl/lmaUIaUvyGyPSb24fGYjQlsBY8gor1ylvb+5dnEnWulXubJRZ23JYj6v0ZenQb01REK+F6ojl\n2oDl+oDlWp+Ku6+QqDS0hy432zWudaZY65UZJjZv5vRo6yK2m2ck1Kopjy8Lnp0xKQ8j0mCb3OpC\nVYN3WDFTKWiNfC5vTXGnW2MncDg33eXsVI9zUz1K9v63ESuXu906/3GrsWepFQKkKojXQtzmHD2W\n0w5+v4VQB4iXbWMvLuEsL+MsnyqWpWWMyn7Ha9KunExM8uXk4WHMkwnJOoF4GAvSo4BJvtwfOs8J\nr15h9PJLDF95iXRzszhhGJSeepryhz5M+fnnMfyi85VmOf/+2gb/97dus92LMKTgJz8wzy9+7CzN\nejGvSWtNtrNDdPsWm69d4tqdHW6EJretGVp2nUY6YC7usBBvcyrcZCbpHVIPOw7pzByd00+zVV9k\nJcpY2clop4W72oGnQaJRCI7r4JXshNlysEeoZkoB03mfUmdAb1vyymCRtaCCsCTrzjR9Dnc4q27M\nUnXAkt9jOukyFXepuBnOjAF1G+nIo4RKQ5QYJKnAthUeKfmdkOzlHmwU1pvckBi5IpEmd+YfpywC\n6sEOTn+EyA9X16lt0qvXiE/VkPMOlWmYKsd7IgFaF6J7vdDmf1w6x6WtmXuIpcZwE5xqRNz3yCMb\npzGicqqDEMXv06FDvOMT9/xirhVgejHu9AinHhwiYj8s0sBitFEjHRRlxyzF+M3+23Yj3IVQivnt\nLudWWpxda+HFBSmIbJOV2Snuzk+zMtsgsR9MGOEgyQKY7g35uRcv4yUZV5aa/MeTZ8mFLsjWzTXm\nd4rrBzMl+ECdqYs2xtiquB2WWBk2ePHOLPatbT7Sf53lYAuAwPV4pfI43/cv0LfK+8+Dohnv8EL3\nMu8fXMdEkwvBVnOam+8/xcXzI5asjDTX9F7u436ng5Hdx77kG8hFd7x4yOl9Vb7ByGT1rsPqps/d\noMYq06Ty4DvSmCKn5GQs1YYs1QYs1wYs1oZYxj5JSTLJVt9jpV/hbrfGaq9C95h5jPfC1gllIqoy\npF7NubhocMGNsNI2uT2ACkeUDLuhw3q/RGvo4VoZNTem4cVMl6JiIIOxWmNusj4o8cZGndfWmwwS\nB4FAA4bKmU13eJ815JzuMTXcwuhsFaMhB8tBrb5HvGbed56k1sSaX/iRCmxM8NYwae9PHh7GPJmQ\nrBOIh7EgPQqY5MthZN0uwRuvM3rtFUavvooKCsU24TiUnno/peeeo/zcCxilfZLR6Ud848VVvvny\nGoMgxTQEn3x2kf/69DSlQYvw2hUG129ytxVwJ7FYNafoWRVcFTOT9JhJujSTHZpJ99Dk9HuhEHS8\nGp2lU2y5NTYyn7W8RqC9e67crcbuT6bmKyOa5YJMNcsBcWoyaoO/tkNprYtqxfSVR2jYDKXH69XH\nuFw+QyZNam7EQmXIgtNnUXaYM/q4VoZZMxFls5gjdQ8LyBUMY5vuyCGMJI6jWJoakiSawa0E42pA\n+W4HSRETaeQ7uHGKdZz7miGgYRNVy3TqFYKpCnbDZKYS0XDjPQKiNGyPPBwjp+YlpLngG9fO8P/d\nXkJpAWiEmWNXYtzGAKuUojJJ72azIFj1EeXlDlnokPQ84q6PyopOrLSywmrVCDC942M7vVNIhjbh\nVpVkTLYMJ8VrDnAbAUL+cE2W0Jq57R5nV7c4u7ZNKSzIrQK2pqvcnZvm7twUO9XSfWXh7yVZAOUg\n4qdfvsr0IKBT9vmXDzxGv+SipWauM+CZm+sstYt6Z+Q5bF9sUHq6zGJN7ZHib9xY5l+unmUx3+Ln\n9fdYWNlGZIX4xbBZ49XGY/wHF4jUAZdXrankAedGqzwxWmEpauHqmPj5OuUP1bEsyXZm8HLfwlkf\n8fj1AbXNPjK5z0CGK/cJ16KLmLH3yrbW0NkyuLvqc703xe1kmr72jrwnU2TMlEOWa0OW6wOWagNm\nSuGhy9JcsD3wWOuXWe1XWe2XaQ18FHJ/dOA+MHWGR0xFRNSciMVqyrnKkJl6F7umkfbh34apwTC2\ncMx8LEgDtqkO/YXWECQmt3aqfPfuPKu9Gkm+T+CkVpx3I97nRZxSfWpBB7G1RtbpHE6cYWDPzeMs\nn8JeXMReWMBeWMSenXvHRDYmeHBM2vuTh4cxTyYk6wTiYSxIjwIe9XxRUURw5RLB668TvPE6yerK\n3jlzaorSs89RfvY5vItPHoo1o5TmjTs7/MuLq7zxxgpT0Q6PZds8Zfapx13agWJDVth26kTSxtCK\n6bTPTNJlJuniqvt3zDUwcEu0pqdplWe4LZtsqhpBbgM/eIKPIRRVN94jUzPlgCk/YqYU4JiKXuiw\nMSix2isRtTVLd1Z4bPs2ls73pB0iYfFK9Tw3mmfwZgTLXodzXocpM8ByQFZMcOSx80SyXDCIbbaG\nPiudMlEgmJ8JmZ0JSKTBcDPHvbpDbW2b6iB68ycyRdG5bTpkDY+dyhQjp4JlKGb8AWV7f75SmgtW\nexXu7NToBA7nZ3Z4/0IbgDc2p/jalbPsxA6Wn+DUR4XE+oGB/zSw6d+eRqUmVjlEmIp04KLHnUth\n5Di1EKceYJXiw/3eH8Ky9KDIQougVSHu+qDH7omNAHdqiOW/A0RPa6Y6A05ttjm12aHZ6e/lTeBY\nrDcbrM3UWWvWGZb2if1xJAtA5ooPX77NxZUtUkPy4uNLvHGmuTfXaaqneHJljcfWi1hfmZSszs0x\nPDdN9azJUm3IK3fn+R+XzmFKxc8+cZX53ir1Kzv4W0HxJ5YgO13h5tQi39GPs96vk94zh7CWDlgO\nt1gWbZ5+bkT1fGFZ6e5Irg8WMSpPcN5uIlZvIG6+gVi5joiC49+RI5FzDnLORcw5yDnnkPVIpYrO\nmuT2ZoVbwynW0hpd5ZPLw+/GMVLmKgHz1REL1SEL40EP4wBpzhXsBC6tgcfaoMLWsMTGwKcXuQfG\nUd684Jk6oyRianZIw4uYqsXMT4WcmRrgWgdk3otpj0hZbItjbq00jGKTO90ar63PcL3dIMn3n6vk\nmlxo2jxhh5y3A+ztDdhaJ15Z2VNa3YOUWM3ZfdI1P14vLGB49w4aTfBO4VFv708iHsY8mZCsE4iH\nsSA9CnjU8iUb9ImuXSW8dpXw2jWiWzf33F6EbeM9cQH/qacpPfU09vKpvVFrFYXEGxtsvHqJjdcu\nk66vUYoHWCqlZ5XpWWUiYaOFwNYZ9XRII+0fIVMaithNWpG6Fp1GgxV/lhvOItt5hVHukGmDH9Rr\nF2h8O6XhRcxVRixUhsxWAqZLIb5VSJxnuWBr6LM5KLE19NkeebSGPmY/5IXuZZ4c3sFX+yQlR9Bf\nnEKeL1NqgusoDFeCI0FwxDqlVCF4sRO6rPdL3Nqps9HxmPNDTlUjZo2EcHgL+iml7ZBaP8EL4yNP\npoGsZCMqJmYvglAVFoSfbTI4PY2OTWwjo2xHHOR0QWJyp1vdi4e03i8zUw74xLkVnp7fRgpY65f4\n5+unaMkZ5NQK0jxaxSsFwWaVsFU99IahsFjtSrNbpfj+IhY/BpK1izw1iLZLRJ0SKtsX2nAbI+x6\n8JZjbR2++f5vnThleavD8maHxVYXP96fEzbwXdZm6mxO12j7Jj3fQYjj3cLOrrf5yKWbuGnOdtXn\n3586Q6fqY+TFnCw7TXlsc50Ld1vUgqIzHjguV8/O0j3bIDWrvHTtNFlu8PGzK/zsE7dROwnD1wPs\nG33M4fgbswXybIloucZL4hxv7DTZHvpHSNdidcD/fP46p5oFOezfUQR3TCJ7lrA5R1xrYAUj/M11\nvK11vM0NnNF+HXmvjLyoW3uES86NrV0HCqrONcGmYnXT406vxt2owbaqEEgHfaBAmVLRLI9YqBbf\n80J1xGx5hH2PKmWaC9ojj62hz8agXAT2Hvj04rHLoVaMP9g3zWqDHM9IqToxU6WIhfqIZqUgYzUv\nxjbuX46KrlLhThimBluDEtfbdVZ7VTqBSz8qBD+qJYvH5qs8Uck5JUZMJz1Ee4tkfY1kfX3PU+BQ\nuup17Ln5goTNzmLNzmLNzmE1ZycE7IfEo9bePwx4GPNkQrJOIB7GgvQo4L2cLzrLiFdWiG7fIrp5\nnfDqVdLNjf0LpMQ5fYbSU0/jve8prOYsebeYLxWvrpCsr5O1t8l6PfI8Z2j4jEyPVJgINLbKqOQB\npTw6+t8AliRybO7UFrnpLbBpTNHTHokyyTDGvbX7d4SkULhmRs2LaZYC5ioBc+MR74qTHJprtBO6\nbA892iOXrVGJ9X6JrWGpUPfTmjPBOs/1r3A23MBT486yANGwkE+UMZ4sI0rmESK1e/80FfQih41R\nmds7VW5tVdCDnEXdZsHo0pBDKqMQdxTiBSMMdR+5ciB3LNIZB/OcR2nZQUuKGF6hQk7ZqAUXo2we\nIlRJJlnvl1nbXXplOoGHRiCF4kJzhw8ur/NEswvA9sjl1e0Z7vQrgCCrTxGZd/eeJ48s0sAm6Xsk\ng0K4YhfFvKwimPADC1j8GEnWLvYl48t74hugsUoxTj3Erv2QhOueP6sNAhZbOyxsdVls7eCk+y52\nkWXSqpdp1Su06hXatRLJgbhcTpzw4Uu3eXxtGw3cWJzmlcfPMygV4h6pX/zHcsvjsbvXOLN6Czsr\nyFO/5HJzdo7X9BPcNRaoliJ+8elrXJzqobVGb8Vk10bk10aI4ThNAsSCi3HaJ5yv8HK8zLXtaTaH\nJcLUQGrNuZk+P3P+Nsv1gmyt7fhcvVJieCenJFOcssCo20TTNTLTpG5tUlnr4t/pUt3qYh0o44cc\ndE2BmLGRM854bSOmbYR5mKFn3ZSdTYNWx2NjWGItrdHSNQaGjxqTL4Gm5sXMlkfMloND8ybNe+b/\nZUrQDRzagcf2yKcdeLRHRZ0wTOwiOLcugo0/SKE2RU7JSqh5CY1SYQmfKUVU3ZiqG1Oy00Pf6F5o\nBQFaC6LMYHvos9ov0wl8OoFLJ3DJtMvCTIVTs1VOlwULekgt7KK3N0jW14t6d6fDcSosRqUyJlxN\n7DHxsmaamNNTmPXGkeDjExzGe7m9f1jxMObJhGSdQDyMBelRwHslX/IwJFlbJV5ZIb59i+jWTeLV\nlUOTs4XjYC8sYpTLIAQqjMh7XbJBHx0VRCkRJpG0yIQJAkyV46sY8565UgrByHDY8aqslOdZc2bY\nMcoEwiXBIt91tHrTzozGMnLKdkrDD5ktByxURsxWAqb8EOeeEexcCTqBS2vo0R06tEY+a8MK7cDb\ni20lUEyXQj7g3OXi6C7VdhfZiYt4UgAS5Gkf44ky8qyPsIt0aq1RuSBOJL3AZmvg0+5Y9DcE9iCm\nmo1o5H3qakQ5DXDS493T1Ph55YGqNHMMOO3jXPAxF12EXaRVpQohBMI8/I6SrIhjtNbbJVQVtkfe\nEZGK2cqQ55a2eHahtaectjnyeLU1w+qgkEHffW+h3WAU90hHNlng7IlW7EKa2d48p/vFs3pTvAsk\n6yDyVJL0fOKuRzraF1Ew3AS7UsTzsvw3scS9RQitafSGzLX7zG21aXaHVIPDUvN9z6FTLdGplmhX\nfTqVEvXhiA9duct0P0AJwY3FOd44c4qt+ULIws1OF+nOM+a6Nzlzd4XltVXsrPj+AtPhlrvALX+e\nrcUqS08MWKoOWTATmjJBtmLU7ZD8TlDEydqFK5ELhaBFNltixZjh2s4UtzoVylbKh0+t88Rcdxzf\nzeTV9SYvrc6y1i9TyQKm0j41K8QrZVh1MGYMzjfnuJDU2Xr9KtHtW7jb61j3iNTsWb3GAxpixilI\n1y4J845KoathRmfLpNV2aPU9tuMSbVVmR5YJjMKSI4Wm4RV1xmxlxEwpYtoPmfLDQ26Au0gyyU7o\n0h55dEOXbuTQDR26gUs3dEhyiRh/s1rIByJhoHHMHN9KqTgJNS9m2g+ZKQVU3YSyk1KyE2wjL16E\nKkiYlhApi15g0wl9dkKXXuiSahvHKVGrTjFbrTFv5jSyAGe4Q7q1Rbq1Sdpqkba3j4huFC9FYjYa\nWNMzmFNTWFPTmNMzWNNTmFMzWNPTSMc5+rtHCO+V9v69hIcxTyYk6wTiYSxIjwIetnzJgxHJ2hrJ\n2hrx+hrJ6grx2ip5t3v4QiEQplmMrub53qioQpBIkxwDBBhaYasUiSZHEhoOI8Nlx6rQsaq0nDpd\nu8LQ8ImlRSaMYjL6+D/uD40pFY6ZU7YT6l7ETCmkOR6NnvKjYztDuYJhYtMb2bT7Dr2hzU7oshFW\naCc+U17EYnVIs1Lcp+5GlGSM1Y9gO0JvxeiNGN09QII8A3nGQy57MO+SGxZRKAiGkmFXEm7ksBlT\nykLKeUA5izA4nmhkpkHi2eSmQZ7HOKnCCceU0paIiomYtZHLhTKbqFpgFoqGR+Jf5Zqkq+j0bW5E\nM9wOptgaleiFR2MLSaGwrYzT030uNjs8Pj2gbhdxn2JlcG00y6XhPK2gRBZDEkESQhpBfo+mgTBy\ntBKgJcLIKS10CxGJt0qU3mVidT/sEa7emHDtBsiVCstPsEoxVinG9JN3RA1RhsX8JS9KaHaHzO4M\nmeqPmO4HuOnhlx9ZBr2ySy4ljUGINxacWJ+u8Pr5edYW3kc2FkTIdqXQg9ssbQ14/G7E8mabUrTv\nttixKqw36rQWPfqNCqX6ErPukBlnSEO1qawPyO8EqLUIBgfSYglE00E2HeSsQ1jz6ZhVkIJmKcCz\ni2+zN7K4utXgP7dnub1TPRT3TWhFXYVMWTnNkkGz7lHzTLLhENHewtxaxeu1qCf9I/MO9yxfriys\nyQ27IGENG9mwiu/mGCQ9Rbtt0dlxaA9dOpFHJyvRFmVG0gMBJTsdE66I6VK4R76mS9EhlcODCFOD\nXujsEbBe6DCIHfqRTS9yGMUmahz8XAnBW2HrUihsI8ezMny7IGRVN6buRjT8iIqT4JspvkywZI7Q\nmgyTkTIZJh692CbOLIR0cRyfsleiikk1FZTiBNEfkO10SNttsk6brNs91goGRXgLs97AqNUwa3XM\neh2zVseo1zDrDczxcem6x/7+YcfD1t4/CngY82RCsk4gHsaC9CjgpOVLniSkm5vEd24Tr9wlWV8j\n3d4mHwxQUXj8CCZFp0UDuZBoQ5AJk1hYhMJhYPoMDJ+BWaJnlhhYPoHhEkubVJrkwiikzR9w9NaU\n+52Gkp1QdZNiUrkfMlMqOjPeeF7UkV9riDODMDEYBSb9gUV3ZJHkJloKbE8zXYmp+TElO8MxilhW\nUoyfMNPoXoreTlCtGNVK0NsxpAeqLkNA3UJXbFLXJs4kYiPEHwZI7l/F5UISmx6p7ZOaLqlhgqkw\nZYYnQjxiLEMhKiaUDUTZLEhVzUL45hGL1C76ocVgaBGMJIOhyWZY4XbYYCuqjFX+9iGkQtoZppdg\nezHztRGPGSlLlSFzpRG2VIwSi+3A41p3hjuDGtsjnyQWZAnc+3jSBMsBw4Q0D8ekQyKkwpsZ4DUH\nb59onFCSdRBaCZKhQzpwSQYueXxYctxwU0w3xfRSTC/BdFPkW3Qx3CVZR4qW1pSihKlBwHRvxNQg\noDYMqQYR9xNFVMCwVKI11WBttslOvc5Q9IhNEz+cK9QDgyFzO9tMb7dZGGzjHJj3mEqTXmmabmOK\nrbpmWPOxPEW9kjOXhTR2hvjbI1iP0Dv3WGMtgZgak5wDpEdUTYQUpLmg1XVZb3msbPqsDcoMRJnA\nPL5DbuqcqszwTbCEwkoTnHhAddRhOt5hLmpTy0aYx32Tpijmeo0Jl6iaiKqFrJlQMu8jOAO9HZNu\nz6Y3sOgGDt3IpZe69JVPX7h4jqLuRdS9mJpXEJ2D2/fO/zqIODMYRDaDxGYQ2Qxjm0FsMUos+pHN\nMLEJE5M4Ncj1OO7eWxy5EGhMo6hfHTPHM1M8K8U3U8pWQsWKqDj7daMjM4QBuTRIhY3SFkLYOImB\nk2icRGOHGUaQonoBeW9A1u+jhsM3T4fjYlarGJUKRrmMUTm4XRlvF2uzUkE47rGu1icNJ629n+Dh\nzJMJyTqBeBgL0qOAdzpftFKoOEaNRmSDPnm/T9brkbbbpJ1t8u4OeX9AHoxQUYROU8hzNJoUg0yY\npNIkkSbp7rawSKRJJB0Cw2Fot11nVQAAIABJREFU+gwNj6HpERguibQKoiTkOA4UD9y4izFpssaN\numtleFZG2U6oOglVL2bKi6j7ERUnxTHfRGJdQ5ZL0lySpJIwMYmSYl8IcOycsptS9RLM+3jkaK0h\nyNGjHD3M0IMM1UmKQLu9DMLj3GTYZ5nHIBYWoWETWB6R46J8C9sXuJbGchS2qbCsDNNQmKZGWiA8\nifCMwp3JM47t1O0iSEz6kUMvsulHDjvjeSGdwGMndPdcGXdh6hxh5eDlmHaG6SRUyhkzfkhJKDyd\n4iowc8EgLkbVu5HDznhCfa6PjqILWZAp0y4WwyzeRxxCNAQ1fm3SzvCmhrhTw2NFMN4STn6f6ghU\nJklHNunIIR05ZJEF97hOCjPHcDIMOxuvUwwnx7AyxD1S3/AmJOsQxq5oUiGVojKKaQwV9WFBvBrD\nAdVhhKmOv0kmBZHtEjgeoeMS2S6h7RBZDmkkMIYptWjIXNxhOusfyZqha9H3HQaezdC3ScsWli+p\nkVOLA6rdBLsdI3opR4y4higGE+5ZqFgo3yQybXYil9aOy+a2R7vvEOcWobIJpENovLlVxNA5lsqx\nVUI5C6hlI2rpgFIaUM9G1LIhvoqxVIapiwDIojImXWPyJcomomTAeH3v/C8YqwMmFr3QZjCwGIws\nBoHFMLIYJA6DzCKTFranqbkxFSel7CRU7llKzg9WskxzSZBYBKnJKLEIEoswNRmM/ytILILEJEpN\n4lyS5gaZMsj18XH8fhAEGkMqDKmxZCFNb+8tGY5M8WSKK1IcI8UzUmwzwxYaV+W4KsOLM5wgwRim\niCBBBwkqiA6Jwdw/Ew0Mz0f6xVJse8W27yO98bpU2t/2PKTjIB0X4ToI0/qRE7VJP+zk4WHMkx8r\nyVJK8Qd/8AdcvnwZ27b5/Oc/z5kzZ/bOf+UrX+FLX/oSpmny2c9+lp/5mZ/5gfd82F74g+BhLEjv\nBey6y6ksQ6cJOk5QSYyKIlQU4Rs53fUt0kGfuN8lC/okQUicRMRpTJQLUiXIhCTNTVJtkGpJrg1y\nJcmR5FqQa4mi2NcINAIlxHhbFr+XJqm0SMU9JGq8rX+ICSOmzLHGI6C2meOaOa6ZFaOgdkrFTim7\nCf7YZcW3Unw7wzby+/Kx3XncuRLFsypBpgrSlCmB0oULnCEUnp3hWxmGPPj7wvJEqtFxDpFCxzk6\nyNGjDD3KIRzvBzlEOST3VEGG2F9MgbYEyjLIbJvYtokdl9yx0LZE2BLDAtNS2GYx38u0NIYpkBZI\nWyBtgTAerCGPU8kosRglNsPYYpTaDGKbXujsk6rYIT0UPyfHzyJ8FeHmMZ5IMVxB7tmkvoe2TYRW\nKFJ0Lkgzgzg1x52wNw9aKqUaE0GF9GxMu7BUCQEqgyyBNCncBNUBzzBpglcBs76FVY7fulvg/fAQ\nkqx7oTXkiUkeWmShRRbZZJGFSu6ncKmRVl4sZrE2iJFGjhA50lAIeXC9+33tk6xdyAPx3eJywYLL\nUYPFzS2W1zeZ7bSpDEcPELTgMFJhkEiLTEgE+y7B94tBlwOxbRDZJqFtYhgehqGxybHTBCvJMOIM\nkbxJZ9sSxYCEXwxMCL8YnMCSYEsy0ySWFiE2I+Uw1Da9zGOUO4xSh2FqM8gcktwkzg2yXB5xmT0I\nQ+W4eUQj7TMfd5hOe9TSEaW8+O4cW2GVwPAlsmwgS+Z+2jxZDJx4xpHgxVBwir1vPrEI0oIkjWKT\nIDKJEgOtBcLQmAaYpsK3i3q1NK5XfTulNK5n38w6dmz+5YIkNcbxvIo6ZzcNQVoQtygziTOTODP2\n3lemZNEOKfGm7+4HQaARovAeMIRGCoUpFBKNIVSxUKxNckx21znW7lpnWDrFUhl2nuLkMVaa4KYJ\nVhJjJylmopCZQqIwtMIQIG0Lw3GQroN0PKTrIh0H4bjFMdtGWDbCsopt00JYFsIu1tKy9s4X+/vb\nwrJoztVpd0OEYYBhPBTWt/c6Hsa+8Y+VZP3DP/wDX//61/nCF77ASy+9xF/8xV/w53/+5wC0Wi1+\n8zd/k69+9avEccynP/1pvvrVr2Lb9pve8yS9cK0UwfXXScJ10DCMFK9cXYdwiCBHqRwcEEqzEZfp\npv6+v3miECoHBEaaFepG7A946j1XoXFwx93je/8uODw8evi6QLjkRUSPQ1dpxN4v9e4PxrOPNZBj\ncO+AqeMoXDsvJihrjZsnSNTef+7V2YdvWOCAVUILsZdAPf6/3afWu2kdd94RYuw6LsaDp2I/zQi0\nFgfeidg/Pk6CPvA+dq9VuwRHi2J7d42455zcO7Z7rXrL3Zm3BzEWfLAPkKKD+5Y5Pj5eLENhm/me\nC4lrZrhWtkekbDPnXkPLntLVeMK11oWy8f6i97bJ9ZiMFuVYqGK0XaLH81n04cI5vrfe3QaEOlw0\ndie7I8Y7UhQWJ1kQJnGQPBn7xzHk+Dxvaj16K8iVKDojmUGSG3vbcWaS5AZRahCmJmFqjjsxxShz\nruTecwtdlECtKcrLmFjnWpLpooPz9sqPxjRyTKkwDA1So4QmF8WrF0JjJub4SoFSoFRB8tV9jIrS\nBMcD2wOnBLZbyM9H5p239wLvh/dw/0QryFOTPDZRsVkQsdRA7S6ZsT/X6wdBKITQCKkQQo3XGiHF\neF+jLAVCYwgfhN77fqRWeEGHchRRHeWUoxHVZISbp1hj4mSpFFPnmFph6BwDhdAaU+dvGtz7h3o/\n93vUt3MzcWCRYr/ekPfsj2+udtUBBXuDWQhRZMfuwNZ4zW5zJCTKMkArRK6RSqFjBXGONDSGCdIC\nw5IIk8L115KIaRtZNov5lk4RzqFYG3uDNWrsAh2NyU+UmURpUb9EmUmSCZSW43qjeAYpOGB5OuBJ\nMPYmcM1sf9DMyHmrooGZEoWVLDPGaTLG+2bhaXCoHtytC4vjSWaQqWI7yyWpkofm4v2oISgInhB6\nXAyO29b7xUbs9gwYH9+nmAf3iyKz+23p/ev1/rm947u9DbGfpoPp2zunD5R5ceB/9xqOoixKoYt5\nvgKUEkTJrnompInY67PtNzgU6UIfUu40pMIXyf5A2V5XbP8dHMVRyq0yKLyMD/c2OXRI77fl99x9\n9/lsuxhgqFsBCpM0MgkjG8v38WwHU1o0PEmlXuGx5doBUrt/r1rNo9+/R6H4YPfScXEfP3+ilDPf\nLsl6W+HHv/e97/HJT34SgOeee47XXntt79wrr7zC888/j23b2LbN6dOnuXTpEs8888zbSuC7geCN\n19m69H9iPFYC4EvfPc+lwem3fqOjA2YnCwo4qsT90GK3opZydzROI6VCCo0tNFJmB0bq7rlOaAxZ\nrE2pMKTC3FsKn/kjxw5eZxTH5NiFw5Q5hmSvwTSkQsr9vsOP5PkPdEowxH0q33cPSu1byDIlyLRR\nWMpSSR4Xx3K9bz3LlSDNjb0Owu46OXTMIMn2t3c7GJl6ZyvnXauhZSo8WbgZWobCGpcBQ2qkAYax\nWy6KwYcXb80cGFjZhSDLTbIcuI8XUnLPvhQKaYPlFm6BhgmmA5ZdrA1T3L8XPMEDQUgwnQzTyY49\nrzXoXKJSAz1K0cpA5RKdGyi1uzaKa5REawlKjK8zx+qOD/ZVDlmkBeCOl7cAqRVuHuOqBDdPsHWK\nrbKxZWt/e3ftqgQvj7FVgqVzTJ0XxE0X1gap1QFb/TuEg66++dGhxiPPdM/+O9203ut5fF+aOrau\nYwmkJSktOJTMwjV6bOLfG0AS48GjgwNKYnfO1phManbrLpMEkxEmO1gk2ijqR8aWqkMJFPvkYUxE\niu3x2QPEZHeQbrdd223n9tuu/eO7JEeOB3q0PujFMK6zc6NYHzo+Xsb76YHtTBVEMx/X7Urtbhft\nQDFwVRxT47o/16K4bryvtCDPi/ewO+D1nh7tebfxg9qReLzci3un/N1V/G//7a9ZjNtHLl17gGQs\n/u//B+Xnnn+AK0823hbJGg6HlMvlvX3DMMiyDNM0GQ6HVCr7jK9UKjH8ARMu4e2zxB8Fmj/9Mc7+\n9Mf29j/4X97FxEwwwQQTTDDBBBNMMMFDhf/13U7Au463NdxbLpcZjfajliulMMcStPeeG41Gh0jX\nBBNMMMEEE0wwwQQTTDDBexlvi2S98MILfPOb3wTgpZde4sKFC3vnnnnmGb73ve8RxzGDwYDr168f\nOj/BBBNMMMEEE0wwwQQTTPBexg+lLnjlyhW01vzxH/8x3/zmNzl9+jQ/93M/x1e+8hW+/OUvo7Xm\nt37rt/iFX/iFH0XaJ5hgggkmmGCCCSaYYIIJThxOTJysCSaYYIIJJphgggkmmGCC9wJOjj7iBBNM\nMMEEE0wwwQQTTDDBewATkjXBBBNMMMEEE0wwwQQTTPAOYkKyfgy4fv06H/zgB4nj44ILTPDjRBAE\nfPazn+XXfu3X+I3f+A02Nzff7SRNAAwGA377t3+bX//1X+dTn/oUL7744rudpAkO4Gtf+xqf+9zn\n3u1kPNJQSvH7v//7fOpTn+Izn/kMt2/ffreTNMEYL7/8Mp/5zGfe7WRMMEaapvzO7/wOn/70p/nl\nX/5l/umf/undTtIEQJ7n/O7v/i6/8iu/wq/+6q9y5cqVdztJP3JMSNaPGMPhkD/90z/Ftu13OykT\nAF/5yld4+umn+Zu/+Rt+6Zd+iS9+8YvvdpImAP7qr/6Kj370o/z1X/81f/Inf8If/uEfvttJmmCM\nz3/+8/zZn/0ZSql3OymPNP7xH/+RJEn48pe/zOc+9zm+8IUvvNtJmgD44he/yO/93u9NBlFPEP7u\n7/6Oer3O3/7t3/KXf/mX/NEf/dG7naQJgG984xsAfOlL/z97dx4eVXn///95Zsu+QgIhEJZAwr4j\nKruKLIKK4gaiFlut+tNqW62o5eun1qV+7Lettor261aqVUHcUFBRFkEBQXYIYU1IIAtkD8ms5/fH\nQITKTiYzSV6P65ors57zTu7MnHmd+z73eYf777+fv/zlL0GuKPDO6WTEcmZM0+T3v/89v/71r7n7\n7ruDXY4At912G16vF4D9+/cTGxsb5IoE/O1ydEeE1+slLCwsyBXJUf379+eyyy7j3XffDXYpzdra\ntWsZNmwYAH379mXz5s1BrkgA0tLSeOGFF3jooYeCXYocMXbs2LpZrU3TxGq1BrkiAbjssssYOXIk\n0Hy+fylk1ZM5c+bw5ptvHndfmzZtGD9+PF27dg1SVc3bidrkqaeeonfv3txyyy1kZ2fz+uuvB6m6\n5utU7VJcXMyDDz7II488EqTqmq+Ttcv48eNZtWpVkKqSo6qqqoiOjq67bbVa8Xg82GzajAfTmDFj\nyMvLC3YZcoyoqCjA/5657777uP/++4NckRxls9n43e9+x5dffsnzzz8f7HICTlO4B9Do0aNp3bo1\n4D9pc+/evXnrrbeCXJUctWvXLu68804WLVoU7FIE2L59O7/+9a956KGHGDFiRLDLkWOsWrWKd955\np1kM7whVTz/9NH369GH8+PEADB8+nGXLlgW5KgHIy8vj17/+Ne+9916wS5EjDhw4wD333FN3XJaE\nluLiYq6//no+/fRTIiMjg11OwGgXWAB9+eWXddcvueQSXnvttSBWIwAvv/wyrVq14uqrryYqKkrD\nCELEzp07+dWvfsVf//pX9fyKnED//v1ZvHgx48ePZ/369WRkZAS7JJGQdPDgQaZPn87MmTO56KKL\ngl2OHPHhhx9SWFjInXfeSUREBIZhYLE07akhFLKkWbn22mv53e9+x/vvv4/X6+Wpp54KdkkC/PnP\nf8blcvHkk08CEB0dzUsvvRTkqkRCx+jRo1mxYgU33ngjpmnqs0vkJGbNmkVFRQUvvvgiL774IuCf\noCQ8PDzIlTVvl19+OTNmzGDq1Kl4PB4eeeSRJt8mGi4oIiIiIiJSj5p2P52IiIiIiEgDU8gSERER\nERGpRwpZIiIiIiIi9UghS0REREREpB4pZImIiIiIiNQjhSwREREREZF6pJAlIiIiIiJSjxSyRERE\nRERE6pFCloiIiIiISD1SyBIREREREalHClkiIiIiIiL1SCFLRERERESkHilkiYiIiIiI1COFLBER\nERERkXqkkCUiIk3aqlWrmDBhwmmfl5mZSUlJSQNUJCIiTZ1CloiIiIiISD2yBbsAERFpPlatWsX/\n/b//l+TkZHbs2EFERAT33nsvs2fPZs+ePVx++eVceumlPPHEE8yfP7/uNcfePpnFixfz8ssv43K5\nKCkp4eqrr+b+++8/7jkPP/wwhmGwa9cuSkpKGDJkCI899hh2ux2AF154gQ0bNlBWVsbtt9/O1KlT\nOXz4MI8//jh79+6lvLycqKgonnvuOTp16hSYP5KIiDR66skSEZEGtWnTJu666y4WLlxIixYteOWV\nV3j55ZeZN28eb7/9NkVFRWe9TNM0ee2113jmmWeYN28e7777Lq+88soJh/9lZWXx+uuv89lnn7Fr\n1y7efffdusfatWvHvHnz+Pvf/84zzzyD2+1m2bJlxMbG8t577/H555/Ts2dP3nrrrfP6G4iISNOm\nniwREWlQbdu2pXv37gCkpaURExODw+EgMTGRqKgoysvLz3qZhmEwa9YslixZwvz589m1axemaVJT\nU/OT506aNImoqCgArrrqKr766ituvvlmgLpjt7p164bL5aKqqoqxY8fSrl07Zs+eTU5ODqtXr6Zf\nv37n+uuLiEgzoJ4sERFpUA6H47jbNtvx+/syMjIwTbPuttvtPu0yDx8+zKRJk9iyZQvdu3fnoYce\nwmazHbeco6xWa9110zSxWH7cFB6txTCMusfffvttHn30UcLDw5k4cSITJkw44XJFRESOUsgSEZGQ\nEhsby/79+zl06BCmabJo0aLTviYnJ4eqqiruv/9+LrnkElavXo3L5cLn8/3kuQsWLMDlcuF0Ovng\ngw8YNWrUKZe9fPlyJk2axHXXXUfHjh35+uuv8Xq95/z7iYhI06fhgiIiElIsFgs33ngj1157LUlJ\nSYwcOfK0r8nMzGTkyJGMGzeO2NhY0tLS6Ny5Mzk5OT/pOQsPD2fKlClUVFQwZswYrr322lMue/r0\n6cycOZN58+ZhtVrp0aMH2dnZ5/MriohIE2eYGvMgIiLNxMMPP0yXLl24/fbbg12KiIg0YerJEhGR\nRuHjjz/m1VdfPeFjEydO5Oc//3kDVyQiInJi6skSERERERGpR5r4QkREREREpB4pZImIiIiIiNQj\nhSwREREREZF6FDITXxQXV570sYSESEpLDzdgNXK21EahT20U+tRGoU3tE/rURqFPbRTa1D4/lZQU\nc06vaxQ9WTabNdglyGmojUKf2ij0qY1Cm9on9KmNQp/aKLSpfepPowhZIiIiIiIijYVCloiIiIiI\nSD1SyBIREREREalHITPxhYiIyOmYpkmty0tZlZPyKhfl1S7Kq5wcdnrw+kz/xWvi9fmwWS1EhNmO\nXKxEhtmIjwkjKT6CmAg7hmEE+9cREZEmSiFLRERCktPtZV9RFXnFVeQXV5NfXEVecTVVNe7zXna4\nw0pyfARJ8RG0TY6mY0osHVNiiIl01EPlIiLS3ClkiYhISHC6vOzcX8723FKycsvYs78Cr8+se9wA\nkhIi6JgSS3y0g7joMOKiHMRHO4gMs2G1WrBaDKxWA6vFgsfro8bpocbp4bDTQ02th5JKJ8VlNRSX\n1VBQepjcoirWZhfXrSMpPpyOKbF0bZ9A704tSIwND8JfQkREGjuFLBERCZqyKifrsotZm13M9tyy\nulBlGNChdQydU+NpmxxF26Ro2rSIIsxRf9MLm6ZJebWLnIJK9hyoYPeBCvbsr2D1tiJWbysCILVl\nFL06taBXegsSE6Pqbd0iItK0KWSJiEiDKq10snpbIWuzi9mVV87Rvqr2rWPo3j6BzLR4urSNJyIs\nsJsowzCIjw4jvnMYfTq3BPzBq7C0hs27D7FpdwlZuaUsXJ3LwtW5/POTrQzMTOLCHq3pmBKjY7pE\nROSkFLJERCTgvD4fm3aVsGzDfjbuOoTPNDEMyGgXT//MJAZkJIXE0DzDMGidGEnrxEguG9gOl9tL\nVm4ZG3YeZM32YhatzWPR2jxaJURwUY/WDO2dEhJ1i4hIaFHIEhGRgCmpqGXJ+nyWbzxAWZUL8PdY\nDeudwsDMZGKjQnuiCYfdSu/0FvROb8F9N/Vn8eocVm4pYP2Og3y4fA8fr9hL/4yWXDqgLRnt4tW7\nJSIigEKWiIgEQF5xFZ+vymXl1kK8PpOIMBuj+qcyvHcb2reOCXZ558RmtdC3c0v6dm5JjdPD91lF\nfLU2jzXbi1mzvZh2ydFcOqAtF/Vojd2m01CKiDRnClkiIlIvTNMke18ZC1blsnHXIQBSWkQy5oI0\nBndvRZi9/iatCLaIMBvD+7RhWO8UsveV8dXaPH7IPsgbC7L4aPkexg1OY3ifNjia0O8sIiJnTiFL\nRETO2468MuYt3c32fWUAdGkbx7jB7enduQWWJjyEzjAMMtMSyExLoKSili/X7GPxunzeXrSDT7/L\nYdzgNEb0S21SAVNERE5PIUtERM5ZbmEl85btruu56p3eggkXd6BzalyQK2t4ibHh3HBJF8Zd2J4v\nVu/jqx/yeOfrnXy2Mocrh3ZkeJ822KwaRigi0hwoZImIyFkrLqth7pJdfJ/lP59UZrt4rh2RTue2\nzS9c/bfYSAeTR6YzdnAaX3y/jy/X7OPfX2SzaE0e141Mp2+XlpogQ0SkiVPIEhGRM1br8vDZyhwW\nrtqHx+ujQ+sYrh2RTvcOCQoO/yU6ws41wztx6YC2fLR8D8vW7+eFeZvIaBfPDZd0pmNKbLBLFBGR\nAFHIEhGR0zJNk5VbC5m7ZBellU4SYsK4blQ6g7u1Urg6jbgoB7eMyWT0wLbMWbyL9TsP8sSbaxje\nJ4XJIzsTHWEPdokiIlLPAhKy3G43Dz/8MPn5+VgsFp544gnS09MDsSoREQmwvKIq/vXFdnbmlWOz\nWph4cQfGX9ieMIcmczgbKS2iuG9yb7JySnl7UTbLNhzgh+yDTB6ZztDeKU16ghARkeYmICFr6dKl\neDwe3nnnHVasWMFf//pXXnjhhUCsSkREAsTt8fLJt3tZsDIXr89kQGYSN4zqTMv4iGCX1qh1bZ/A\nzNsG8dXaPD5cvoc3FmTxzcb9TLs8k7RWjfMcYiIicryAhKyOHTvi9Xrx+XxUVVVhs2lUoohIY5KV\nU8qbC7MoLK2hRWwY08Zk0ju9ZYOtf3n+yoAsd2jqhQFZ7tmyWS2MuSCNQV2TeefrnazJKuIPb6xh\n3IVpXDmkY93JjAP1d4DQ+VuIiDRFhmmaZn0v9MCBA9x9990cPnyY0tJSZs2aRf/+/U/5Go/Hi82m\noSciIsFUXePmtU+28MWqHCwGTBjWiZvHdiMirGF3li3a9U1AlntZ+rCALPd8rc0q5MW5GygqraFd\nqxjuv7EfGWkJAfs7QOj+LUREmoKAhKynn34ah8PBb37zGw4cOMCtt97KJ598QlhY2ElfU1xcedLH\nkpJiTvm4BJ/aKPSpjUJfsNtoW04pr326lUMVTtomRfOz8V2DNgNeIHtwzlVMTDiVlbUnfKw+eoVq\nnB7mLtnF4nX5GAaMvSCNpPRibNbAHKvVFHuygv0ektNTG4U2tc9PJSWd2zDugOyajI2NxW73z5YU\nFxeHx+PB6/UGYlUiInKenG4v7y/ZxaK1eVgMgyuHdGDCxR104twGFhFmY9qYTAZ2Teb1z7axYFUu\ncdsMRgwNo2ULtYWISGMSkJB122238cgjjzBlyhTcbjcPPPAAkZGRgViViIich937K/h/87dSUHKY\n1omR/GJid52/Kci6tU/gidsHM3fpLr5am8f8hbX072unZzcbFotmIBQRaQwCErKioqL429/+FohF\ni4hIPfCZJgtW5vDBsj34TJPLBrZl8oh0HHYdGxsKwhxWpo7OwBZfzLJvnaz5wU1evpfhQxxER6lX\nS0Qk1GnaPxGRZqasysk/P9nKtpxS4qMd/GJCd7p1SAx2WXICqW2sTJoQwfKVLnL3eflwfi0XD3bQ\nqYM23yIioUyf0iIizcjGXYd49dOtVB5207dzS342visxkY5glyWnEB5ucOkIB9k7vaz63sWSb1wU\nFPq4YKA9YJNiiIjI+VHIEhFpBjxeH3OX7OKL7/dhsxrcdFkXLhvQFsPQl/TGwDAMMrvYaJ1s4etv\nnGRleygq9jJqeBhxsRo+KCISahSyRESauNJKJy99tJmdeeW0Sozkl1f2oH3rc5uSVoIrLs7CxLHh\nrFrjZvsODx99WsvQizR8UEQk1OhTWUSkCdueW8pLH22hotrFoK7J3Daua4OfWFjql81mMORCB61b\nWVix8sfhg4MH2rFq+KCISEjQllZEpAkyTZPPV+9j7pJdGAbceGkXRg/U8MCmJL2jjZYtLHy9zD98\n8FCJj0tHOIiM1PBBEZFg0yexiEgTU+P08OIHm3lv8U5iouw8eFM/Lh/UTgGrCYqL9Q8fTO9opfig\nj48+raWgyBvsskREmj31ZImINCF5xVX8Y94mCktryGwXzy+v6kFcdBjL81cGZH1DUy8MyHLlzNls\nBsOHOGjZwsPqtW4WfOFk8CA73TJsCtYiIkGikCUi0kR8n1XEq59uxeX2MXZwGteO6ITVogELzYFh\nGPToZicx0cLiZU5WrnZz8KCPiwc7sNkUtEREGppClohII+czTT5evoePV+wlzGHl7qt7MrBrcrDL\nkiBIaWXlqvHhfLXUxc7dXkrLarl0RBjR0QrbIiINSSFLRKQRq3V5+H/zt/FDdjEt48K5b3Jv2iZF\nB7usZidQwzHPRVSUhfFjwli52kX2Ti8ffVbLJSPCSGllDXZpIiLNhkKWiEgjdbCshuff30RecRVd\n0+K5e1IvoiPswS5LQoDNajD0ojBatvDw3WoXC790cvFgB5ldtNkXEWkI+rQVEWmEtueW8o8PNlNV\n42ZU/1RuurQLNquGhMk2Xh1mAAAgAElEQVTxumbYiIsz+HqpkxUrXZSV+Rg0wI7FouO0REQCSSFL\nRKSRWbo+n39/kQ3AtDGZjOqXGuSKJJSltLIycVw4ixY72ZLlobzCx8hhYcEuS0SkSVPIEhFpJHw+\nk3e+2sGitXlER9i5++qedG2fENSaQulYJDm52BgLE8aGs+QbJ3n7fcxfWEvPGw+TnBAZ7NJERJok\nhSwRkRBystDidpssXe4iN89LfJzB6FFWDtq2szy/gQuURsvhMLhsVBjf/+BmyzYPf/zXWu6Z1JPM\ntOAGdRGRpkgD+EVEQlxNjcmCL53k5nlp09rfIxETo49vOXsWi8HggQ6GXOigxunhuXfW882G/cEu\nS0SkydFWWkQkhJWV+/hkQS0HD/nokm5l9CVhOByatEDOT2YXG7+9sS/hDiuvL8hi3rJdmKYZ7LJE\nRJoMhSwRkRBVUOhl/sJaqqpN+vWxM/QiB1arApbUj8y0BB67ZSDJCRHM/zaHVz7ZitvjC3ZZIiJN\ngkKWiEgI2rXHw8JFTtxuGHaxg3697RiGApbUr1aJkTw6bQCdU+NYtbWQP7+zjqoad7DLEhFp9BSy\nRERCiGmabNjkZulyF1YrjLk0jC7pmqNIAicm0sGDN/Xlgm7JZOeV8+S/1lBYejjYZYmINGoKWSIi\nIcLr9bFipYu1691ERRpMGBNOmxRrsMuSZsBus3LHlT0Yf2F7CktrePJfa9mZVx7sskREGq2AhayX\nX36ZG264gWuuuYY5c+YEajUiIk1CjdPDH15bRfZOLy0SDSaOCyMhQfvBpOFYDIPJI9O5dWwmh2s9\nPPufdXyfVRTsskREGqWAbMFXrVrFunXr+M9//sPs2bMpKCgIxGpERJqE0konf3rrB37IKqJtqoXx\nl4cTGamAJcExom8q91/XG5vV4KUPN7NgZY5mHhQROUsB2YovX76cjIwM7rnnHn75y18ycuTIQKxG\nRKTRyyuq4o//WkNuURVjL+rAZSPDsNs1wYUEV89OLZhx8wASYsKYs2QX//p8Ox6vZh4UETlThhmA\n3VOPPfYY+/fvZ9asWeTl5XHXXXexcOHCU86M5fF4sdl07IGINB/rs4t4+s3vOVzr4bYrunPNqM58\ntXt5sMuSZuKy9GGnfc6h8hr+8OoqdueX079rMr+bNpDIcHsDVCci0rgFZMqq+Ph4OnXqhMPhoFOn\nToSFhVFSUkKLFi1O+prSU8xklJQUQ3FxZSBKlXqiNgp9aqPQsnzjAd5cmIVhwC+v6sEF3VphGAaV\nlbXBLk1OIiYmvEm1z5l+Hvz2hj7M+mgLP2QV8eDflvGr6/qQEBMW4OrOjT7nQp/aKLSpfX4qKSnm\nnF4XkOGCAwYM4JtvvsE0TQoLC6mpqSE+Pj4QqxIRaVRM0+TDb3bz2mfbCHdY+e2N/bigW6tglyVy\nUuEOG/de24uRfduQW1TFk7PXkFdcFeyyRERCWkB6skaNGsX333/P5MmTMU2TmTNnYrVqKKCING8e\nr483FmTx7eYCWsaF88D1fUhpERXsskROy2qxMG1MJi3jI5i7ZBdP/3st90zqRfcOicEuTUQkJAXs\nDJcPPfRQoBYtItLoHK51848PNrMtp5SOKbH8anJvYqMcwS5L5IwZhsH4C9uTGBvGa59u4y/vbeC2\ncV0Z0isl2KWJiIScgIUsERHxO1hew9/mbCT/YDX9urTkjit7EGZX7740Thd2b01CdBgvvL+JVz/d\nxqHyWiYO6XDKya1ERJobnYhFRCSAcgoqefJfa8k/WM1lA9tyz6ReCljS6GWmJfDItAG0jAvnw+V7\neP2zLE3xLiJyDIUsEZEA2bjrIM+89QMV1S5uurQLUy7LwGLR3n5pGtq0jOLRaQNo3zqG5ZsO8Lc5\nG6hxeoJdlohISNBwQRGRAFi8Lp9/f7Edm9XC3ZN6MSAzKdgliRxnef7KelnO8JEmS76xsGVvKY+9\n8Q2P3nQRibHh9bJsEZHGSj1ZIiL1yGeazFm8k9mfbyc6ws5DU/opYEmTZrcbXDoyjK4ZNkpLTZ6c\nvZZ9RZriXUSaN4UsEZF64vZ4eeXjLSxYlUurxEgenTaA9DZxwS5LJOAsFoOLLrAzqL+d0konT/97\nLVv2lAS7LBGRoFHIEhGpB1U1bp57Zz2rtxXRpW0cj04bQHJCZLDLEmkwhmHQq4edX17VA4/Xx1/n\nbOCbjfuDXZaISFDomCwRkfNUVHqYv8zZSGHJYS7olsztV3TDbtMMgtI8uWL3cPmlDhYtcfL6Z1ms\ny9tJv972857ifWjqhfVUoYhI4KknS0TkPOzKL+fJ2WspLDnMuAvTuOPKHgpY0uy1bmVl4thwoqMN\n1m/08M23LrxeM9hliYg0GIUsEZFztHZ7Mc/+Zx1VNW5uGZPJdSM7Y9EJWUUAiIuzMHFsOC1bWNi5\n28sXXztxuRS0RKR5UMgSETlLpmnyxepcXvxgExbD4FeTezOyX2qwyxIJORERBuNGh5HW1sqBAh+f\nfl5LVbVOWiwiTZ9ClojIWfD6fPz7y2ze+XonsdEOHp7an97pLYNdlkjIstsNLhnhoFumjdIyk/kL\nnBwqUdASkaZNE1+IiJyhGqeHWR9tYdPuQyQkGIweZWGfdwv78utn+TEVOoGrNE0Wi8GFg+zERBus\nXuvm089ruWREGG3b6PhFEWma1JMlInIGSipqefrfP7Bp9yF6dWrBhDHhREfpI1TkTBmGQc/udkYN\nd2D64MuvnWTv8AS7LBGRgNA3BBGR08gpqOSJf60hr7iKUf1SuW9yL+x2TXAhci46trcxdnQYDgcs\nX+li7XoXpqkJMUSkaVHIEhE5hfU7DvL0W2upqHJx4yWdufnyDKwWfXSKnI9WyVYmjA0nJtpgwyYP\nyzTFu4g0MfqmICJyEl+u2ccL728EE+65pheXX5B23idUFRG/uFgLE8aFk9TSwq7dXr74yonTqaAl\nIk2DJr4QkSZtef7Ks36Nz2eyao2bbds9RETA6FF2DkftYnn+rgBUKNJ8RYT7p3hfutxFzj4vnyyo\nZfSoMOLitA9YRBo3fYqJiBzD5TL5aomTbds9JMQbR06mqhnQRALFZvNP8d67h42KSpNPFtSSv98b\n7LJERM6LQpaIyBEVlT7mL6xlX76P1BQLV4wJJzpaH5MigWYYBgP7Oxg+xIHHC1987WTrdnewyxIR\nOWcaLigiAhwo9PL1UidOJ3TvauOCAXYsFh1/JdKQOneyERNt8NVSJytXuykrM7lwkN6LItL4BHQX\n7aFDhxgxYgS7duk4BhEJXdt3eFj4pROXCy4e7ODCQQ59qRMJklbJVq4cF05CgkFWtofPNSGGiDRC\nAQtZbrebmTNnEh4eHqhViIicF5/PZOX3LlasdOGww9jLwuiaoQ5+kWCLjrYwYUw4aW2tHCjw8cmC\nWg4cqg52WSIiZyxgIetPf/oTN954I8nJyYFahYjIOXM6Tf9xH1ke4uMMJo4PJ6W1JrgQCRV2u8Gl\nI3+cEOOP/1rLlj0lwS5LROSMGGYATrM+b948CgoKuPvuu5k2bRqPP/446enpp3yNx+PFZtMXHBGp\nX4t2ffOT+0rLvHz8WSVlZT46tLczdnQ0YQ4NDxQJVdu2O/l6SQ0+0+TnV/ZkwtCOOmediIS0gISs\nqVOnYhgGhmGwbds2OnTowEsvvURSUtJJX1NcXHnSx5KSYk75uASf2ij0Ndc2+u/zZOXu87B0hQu3\nG3p1tzGgX+gcVB8TE05lZW2wy5CTUPsEV2u68ff3N1Jx2M2Qnq2ZNiYTh/34nbPN9XOuMVEbhTa1\nz08lJcWc0+sCcvDBW2+9VXf9aE/WqQKWiEigmabJuo1u1m/0YLXC8CEOOnfS8VcijUXn1Dhm3jaI\nv8/bxIrNBeQdrOb/m9SLFnE69ltEQo9OACMiTZ7TZbJosZP1Gz1ERxlMGBuugCXSCCXGhjPj5v4M\n7ZVCTkEl//PG92zLKQ12WSIiPxHwbxmzZ88O9CpERE6qtMzHV0ucVFSatEmxMHJYGOFhoTE8UETO\n3LFDf7v0MfFG2Fm1xs1z76xjUH87PbrZiK2IOOshnUNTL6zvUkVEdDJiEWm61mQV8cmCWjwe6NXD\nxoC+oXP8lYicO8Mw6JZpJzHBwtfLnKxe66b4kI9xozV0UERCg4YLikiT4/X5mLNkJy9+uBmAUcMd\nDOqvEwyLNDWtkq1cNT6C5CQLe/Z6eW9eBRUVvmCXJSKikCUiTUtppZP/fXsdC1bmkpwQwcRx4XRs\nr057kaYqMtJg3Gj/icQPHvLy0We17MnxBLssEWnmFLJEpMnYvPsQ/+e11WTnlTOwazL/57ZBJMTr\nY06kqbNaDS4e7GDMZVGYJixe5uK71S683no/S42IyBnR7l0RafS8Ph8fLd/Dp9/mYLUaTB2dwSX9\nU3WyUpFmpmtGGFGRXr5e6mTbdg9FxT5GDXcQG6OdLSLSsBSyRKRRK6ty8vJHW9i+r4yWceHcdXVP\nOqbEBrssEQmS+DgLV44P57vVLnbs8vLxp7UMvdhBhzR95RGRhqNPHBFptLbuLeGVj7dQcdhN/4wk\npo/vSmS4PdhliUiQ2WwGwy4Oo3UrD9+ucvH1Uhfdu/oY1N+O1aoebhEJPIUsEQkJx54D53S8XpN1\nG9xs3OLBYoHBA+1071rFD4fWBrBCEWlsuqTbaNnCwuJlTrZmeSgs8jFyqIO4OA0fFJHA0qeMiDQq\n5eU+5i90snGLh5hog/GXh9Gjm13HX4nICSXEW5g4Lpwu6VYOlfj46NNasrLdmKYmxRCRwFFPlog0\nCqZpsn2Hh1Vr3Hi90CXdyoWDHNjtClcicmp2u3/4YNtUDytWuvh2lZu8fB9DLnIEuzQRaaIUskQk\n5NXUmqz4zkVunheHA4YPcejcVyJy1jq2t5Hc0sKyFf7Pk+L5NbSeeIhenVoEuzQRaWI0XFBEQlpe\nvpcP59eQm+clpZWFSRN0cmEROXdRURbGjg5jUH87Tif85b0NvP1lNi63N9iliUgTom8qIhKS3G6T\n739wk5Xtn9xiUH87PbvbdOyViJw3wzDo1cNOmxQrq1daWLQ2j205pUy/optOASEi9UI9WSIScvIP\nePngk1qysj3ExxlMHBdOrx6a3EJE6leLRAszbxvEqP6p5B+s5o//WsOcJTtxe9SrJSLnRz1ZIhIy\nXC6T1WtdZO/0YhjQu6eNfr11XhsRCZwwu5Vpl2cyMCOJ1xdksWBlLut3HORn47vROTUu2OWJSCOl\nniwRCQl5+f7eq+ydXhLi/b1XA/s5FLBEpEF065DIH26/gEsHtOXAocM8PXst73y1A6eO1RKRc6Ce\nLBEJqupaN+98tYMVm5wYBvTtbaNPT/VeiUjDC3fYmDo6g0Fdk3nts2188f0+1u88yM/GdSUzLSHY\n5YlII6KQJSJBYZomq7YV8u5XOymvdtEi0WDoRWG0SFQHu4gEV0a7eP5n+gV8+M1uvli9jz+9vY4R\nfdtw7Yh0oiPswS5PRBoBhSwRaXAHDlXz7y+y2ZZTit1mYdLwTsS1O4DFot4rEQkNYXYrN1zShYGZ\nyby+IIul6/ezdnsx141KZ0ivFCyaiEdETkEhS0QajNPtZf63e1m4Khevz6R3egumjM4gOT6C5fkF\nwS5PROQn0lPjePxng1i0Jo+Plu/h9c+y+GbjAaZdnkm75OhglyciIUohS0QaxPodB3nry2wOVdSS\nGBvGTZdm0D+jpaZlF5GgWp6/8oyeF90WrppoZ/Ua2JlbzuOvr6Z7Vxv9+9ix2xvuc2xo6oUNti4R\nOXcBCVlut5tHHnmE/Px8XC4Xd911F5deemkgViUiDexMv5AcVVHpY/UaN7l5/mnZe/Ww0beXhRr7\nLlbs3xWgKkVE6l90lIVLRoSxL9/Lyu9dbNnmYc9eLxcMsNOxg1U7jUSkTkBC1scff0x8fDz/+7//\nS1lZGVdffbVClkgz43KZrN/kZmuWB58PWreycNEFDhLiNbGFiDRu7VKtpLQOZ9NmDxs3u1my3MWW\nLAsXDLDTKtka7PJEJAQEJGSNHTuWMWPGAP4ZxKxWfeCINBc+n8n2HR7WbXBT64ToKIOB/bSXV0Sa\nFpvVoF8fO+mdrKxZ52ZvjpdPP3fSIc3KwP52YmO0Q0mkOTNM0zQDtfCqqiruuusurr/+eiZOnHjK\n53o8Xmw2hTGRULdo1zcnvN80TfbkuPl2ZQ2HSrzY7TCofwT9+oRjsylciUjTtv+Am2++PUxBoReL\nBfr0CuOCARGEh9dv2LosfVi9Lk9EAiNgIevAgQPcc889TJkyhcmTJ5/2+cXFlSd9LCkp5pSPS/Cp\njUJffbXRiY7JKij0smadm6JiHwAZna307+sgMkLh6mzExIRTWVkb7DLkJNQ+oS/YbeTf2eT/PKyq\nMnE4oG8vO10zbdjq6QTrjX3iC31fCG1qn59KSoo5p9cFZLjgwYMHmT59OjNnzuSiiy4KxCpEJAQc\nKvGxdr2LvHx/uEprZ2VAX7uOuxKRZskwDDp1sNG+nZWt2z1s2Ohm9Vo3W7Z56NPLRpd0G9Z6Clsi\nEtoCErJmzZpFRUUFL774Ii+++CIA//znPwkPDw/E6kSkgZWU+li/0c3eXC/gn9RiYD87yUka8isi\nYrUa9Opup0u6jU2b3Wzd7uHbVW42bvb4j+PqaD3nk6+f7QyvZ6qx95CJhJqAHpN1NjRcsHFTG4W+\n+mij3MJKXv/qB3KOhKuWLSz072MntY1Fk1rUg2APdZJTU/uEvlBto8M1Jhs3u8nK9s+2Ghtj0Lun\nP2yFSs9WQ4UsfV8IbWqfnwqp4YIiEnz/vbczpuLcv3wUFXvZuMVD7r4fw1W/PnbaKlyJiJxWZITB\nhYMc9OxuY8MmDzt2eVj+nYt1Gw16dbeR0dmmCYJEmhiFLBE5IdM0ydvvY9MWNwWF/mOuklpa6Ndb\nPVciIuciOsrCkAsd9OllY/NWD9t3eFj5vZsNm9z06GYns4uNsDB9too0BQpZInIcr9dk914vm7e6\nKS3zjyZObWOhdw87rVspXImInK/oKAsXDnLQp6edLVlutm33sGadm/Ub3XROt9Gjq424OE0gJNKY\nKWSJCABV1T62Z/v3rNY6wTCgUwcrvXrYaZGojb2ISH2LiDAY2M9Brx52snd62JrlISvbf2mbaqFH\nVzttUrRzS6QxUsgSCbJAzRR1JkzTpKDQx9bt/uOtTBMcDujV3UbXTBsx0QpXIiKBFubwz0bYo6uN\nnH1etmzzkJfvIy/fSXycQY9udjp1sGK3K2yJNBYKWSLNkMtlsmuPh23bPZSV+4cEtkg06Jbp35Dr\nAGwRkYZnsRh0bG+jY3sbxQe9bM3ysHuvlxUrXaxeC5062MjobKVlC/VuiYQ6hSyRZsLnM8nf72XH\nLg85+7x4vWCx+IcEdu9qI6mlNtoiIqEiqaWVEUOtDOrvI2uHhx07vWzf4R/SnRBvkNHZRudOmihD\nJFQpZIk0ceXlPnbs9rB7Ty1V1f5ZAmNjDLqk2+jS2UZkhDbQIiKhKjLSQv8+Dvr2Mtl/wEf2Tg+5\neV5WrXGz5gc3aWlWuqTbaNPacs4nOBaR+qeQJdIEHa4xycn1sGuPl6Jif7ByOAwyu9jokm5Vr5WI\nSCNjsRi0TbXSNtVKTY3Jzj0esnd42LPXy569XsLDoEN7G506WGmVrM94kWBTyBJpIqoP+8jJ9bI3\nx0tBka/u/tQ2Fjp3stGzexQ1Nc4gVigiIvUhIsI/UUbPbjaKin3s3utlT86PMxNGRhp0bG+lUwcd\nvyUSLApZIo1YVbU/WO3J+bHHCqBVsoUOaVY6tLcSFemfIVCTWYiINC2GYdAq2UqrZCuDB9o5UOhj\nz14Pe3P9MxRu2eYhOsogrZ2Vdm2ttE62YLWeeFsQqJluh6ZeGJDlioQ6hSyRRsTnMykq9rEv30ve\nfi+lpWbdY61bHQlWaVYiIzX1uohIc2KxGKSmWElNsXLRBSb5B/yBKzfPP0vh1iwPdju0beMPXG1T\nrYRr0gyRgFHIEglxhw+b5O33kpfvZf8BLy63/36rBVJTLKS1s9I+TRNYiIiIn9VqkNbWSlpbK16v\n/3yI+/K85Ob5Rz7syfFiGJCcZCG1jZU2rS20bKGJM0Tqk0KWSIipqTUpKPRSUOijoNBLadmPvVXR\nUQadOvr3QKa0sujElCIickpWq0FqGyupbawMHmRSVmaSm+dlX76XwiIfhUU+fgDsdmjdyh+4Ulpb\nSYg3dCyXyHlQyBIJspoak4Iif6g6UOCtOzkwgNUKbVpb6maUiovVRk9ERM6NYRgkJBgkJFjo08tO\nba3JgUIv+w/4tz/78vwXcBMeDimtrCQnWUhOstAiUT1dImdDIUukATndXnILK9m9v6Lucqiitu5x\nmxXapFhIaWWldSv/8I2THaQsIiJyPsLDDTq2t9Gxvf92VZWP/QX+wLW/4MehheDf6ZfUwkJSkoVW\nSRaSkqxEhGv7JHIyClkiAeJ0eckrrmJfURW5RVXs3l9OXlE1PvOY4X8RdtqlWkhOspLS2r+nUKFK\nRESCITraQkZnCxmdbZimSWWlSdFBH0XFPgqLvRQW+ygo8rHpyPOjIg1aJFqOXPzXIyM14kIEFLJE\nztjJprf1+Uyqqk3KynyUlJqUlPooKfVRUWke9zyrBVq0sJDU0n8y4KSWFmKiDQzD3hDli4iInDHD\nMIiNNYiNtdC5k/8+l8uk+JCP4mIfRQe9HCrxkXtkQo2jwsMgMdFCYoKF+DgLRcUriI+z4HD4g1dM\nRTiVlbUnWmVI0JTzUl8UskTOkMtlUl7ho7zCpLz8yM8KHxUVJl7f8c91OPxTqicm/HhJiDfUSyUi\nIo2Ww/HjNPHg30F4+LDJoVIfh0p8lJT4OFjiY/8B/+VYkZEG8bEGyUleIiN9xERbiI0xiIoydKyX\nNEkKWXJaZ3KCwnPZMxVqe4tcbi+llU6Ky2s4WFZLcVkNxeW1HCyrobishupaz09eY7dDQoKFuFiD\nuLijgcogSsMlRESkGYiMNIiMtNIu1Vp3n9PlH91RVm5SVu7zX8pM9hf42F/gPO71hgEx0QYxMQax\nMf4RHtFR/vAVFWkhIgJtT6VRUsiSJs/nM6mqcVNa6aS0yklZpfP460d+nihEAdisFpLiw0lI9BEb\neyRQxVqIjzOIiFCYEhEROVaYw6BVspVWycff73abuNx2DhTUUlHpo7LSpKLSpLLSR/5+k3x8P1mW\nYfiP/YqKMoiMNIg+5npEuH87HBFuYLPVTxg7kx3L5yLUdixL4ClkSdCcyweZ12vicoHLbeJy+a/X\nOk1qa80jP4+5XWvidJrUOk+9TLvd/wHeJt5CVJRBdPSRPWnRBrHRR4MUQPg5/Z4iIiICdrtBYqKN\nqMiffv10uUwqq0wqKn1UV5tUHz5yqTY5fNikqNiHaZ5goUdYrf7ZEiPCDSLCf7weFm4Q5jBwODjy\n0yDM4R/6aLc3XC+ZwlvzE7CQ5fP5ePzxx9m+fTsOh4M//vGPtG/fPlCrkxBkmiYeD/6L9+j1Iz+9\nx1z3/Pg8t8cfntxu/weu03Vkz5fLxOUGr/f06z0qLAzCwwzi4gzCww0iI/x7vqIi/dejIv23dUJf\nERGR4HI4jLoZCk/E5zOpqfEHr6ojwaum9sedqjW1UFNrUlrq4+BPO8ROyDDAYfev+7/Dl81mYLcd\n+Xnkts0Gdps/LNpsPz7HajOwWf1BzzA0vFH8AhayFi1ahMvl4t1332X9+vU888wzvPTSS4FaXb0z\nTROvzzyy18T/88jVuim46x47ct00zbrnmEee4DN/XN7R13xf8MOPyzv2+XXL/PHn0ceO3XtzdL0+\n39H1+i/dE7vhM018viOXI7+DzzQxfdRdP+45Pn+Ndc/1mXi8PrxeE7fXh9frI7/SidcLPh94feDz\n+id68Pk4cr+JSS0et1n3uMd7doHoZCwW/yQSDod/eIDDAQ67UXefw274w1S4P0iFh/kvYWHoQFoR\nEZEmwmI5cpxWFCQnnfx5punfUesPXv4A5nKD02n6R8E4wek2cTn9O3KPjoopL/fhqYfvLeAPW/6L\n4f9p+a/bVrBa/NctFv/FMPy/4/G3wWL47zMsYDGOfb7/fmtZgX9ZFv8EIhbDfxiD5UjYOxr6jr19\n9Dk/Xv/xsRqvSVnZ4eNfyzGvtRx5LYABBseHSuPIfUducWze9D/24xOMI/cd+zz/79s0vr8FLGSt\nXbuWYcOGAdC3b182b94cqFUFxFP/Xsuu/Ipgl3FWFrC+QddnGNR9QPjHQvv38FgcRt0en6N7emxW\nfnqfDWzW/9obZPV359uPdO3bNBufiIiInCHD+HFHbGzs2b326CEJ7mNG2rjdp7rtH23j9fpf6/X6\nd0Yfd9vrD3X++/07yOvTN2yt3wUGmd1m4bc39qVL2/hgl3LeAhayqqqqiI6OrrtttVrxeDzYbCde\nZVJSzCmXd7rH69tffz2qQdcnIiIiIiJNw4kHvtaD6Ohoqqur6277fL6TBiwREREREZGmImAhq3//\n/ixbtgyA9evXk5GREahViYiIiIiIhAzDNE81Iea5Ozq7YHZ2NqZp8tRTT5Genh6IVYmIiIiIiISM\ngIUsERERERGR5ihgwwVFRERERESaI4UsERERERGRehQyIWvDhg1MmzbtJ/d//vnnXHvttUyePJk3\n33wT8B/vNXPmTG644QamTZtGTk5OQ5fbLJ1NGwFMmjSJadOmMW3aNGbMmNGQpTZLJ2ufo37/+9/z\n3HPPAXoPBcvZtBHoPRQMJ2ujN954gyuuuKKuPXbv3k1tbS333nsvU6ZM4Re/+AUlJSVBqLh5OZv2\nMU2TYcOG1d335z//OQgVNz8na6ONGzcyZcoUbrrpJu677z6cTqe2RUFyNm0E2hadq5CYU/2f//wn\nH3/8MREREcfd7/V6+fOf/8z7779PZGQk48ePZ+LEiaxZswaXy8W7777L+vXreeaZZ3jppZeCVH3z\ncLZtFBUVhWmazP7SqHEAACAASURBVJ49O0gVNy8na5+j3nnnHbKzsxk0aBAAixYt0nuogZ1tGzmd\nTr2HGtip2mjz5s386U9/omfPnnX3vf7662RkZHDvvffy6aef8uKLL/LYY481ZMnNytm2T05ODj16\n9GDWrFkNWWazdrI2Mk2T3//+9zz//PO0b9+eOXPmkJ+fz86dO7UtamBn20apqanaFp2jkOjJSktL\n44UXXvjJ/Varlc8++4yYmBjKysrw+Xw4HA7Wrl3LsGHDAOjbty+bN29u6JKbnbNto6ysLGpqapg+\nfTq33HIL69evD0LVzcfJ2gfghx9+YMOGDdxwww119+k91PDOto30Hmp4p2qjLVu28Morr3DTTTfx\n8ssvA8e/j4YPH853333XYLU2R2fbPlu2bKGwsJBp06bxi1/8gt27dzdkuc3Sydpoz549xMfH88Yb\nb3DzzTdTVlZGp06dtC0KgrNtI22Lzl1IhKwxY8ac9ETFNpuNL774gquuuooLLriAiIgIqqqqiI6O\nrnuO1WrF4/E0VLnN0tm2UXh4OLfffjuvvvoq//M//8Nvf/tbtVEAnax9ioqK+Mc//sHMmTOPu1/v\noYZ3tm2k91DDO9Xn3BVXXMHjjz/Om2++ydq1a1m8eDFVVVXExMQAEBUVRWVlZUOW2+ycbfskJSVx\nxx13MHv2bO68804efPDBBq64+TlZG5WWlrJu3TpuvvlmXn/9dVauXMl3332nbVEQnG0baVt07kJi\nuODpXH755Vx22WU8/PDDfPjhh0RHR1NdXV33uM/nO+kHrzSM/26jiRMn0r59ewzDoGPHjsTHx1Nc\nXExKSkqwS21WFi5cSGlpKXfccQfFxcXU1tbSqVMnvYdCyMnaaMKECXoPhQjTNLn11lvrAtWIESPY\nunXrce+j6upqYmNjg1lms3Wy9pk+fTpWqxWAgQMHUlRUhGmaGIYRzHKbpfj4eNq3b193vtRhw4ax\nefNmbYtCyMna6NZbb9W26ByFRE/WyVRVVXHzzTfjcrmwWCxERERgsVjo378/y5YtA2D9+vVkZGQE\nudLm62RtNHfuXJ555hkACgsLqaqqIikpKcjVNj+33HIL8+bNY/bs2dxxxx1MmDCBa665Ru+hEHKy\nNtJ7KHRUVVUxYcIEqqurMU2TVatW0bNnT/r378/SpUsBWLZsGQMGDAhypc3Tydrn73//e91kTFlZ\nWaSkpChgBUm7du2orq6um9hizZo1dOnSRduiEHKyNtK26NyF5O6CTz75hMOHD3PDDTcwceJEpk6d\nis1mIzMzkyuvvBLDMFixYgU33ngjpmny1FNPBbvkZud0beT1epkxYwY33XQThmHw1FNPae9UAzq2\nfU5k9OjReg8F2enaaPLkyXoPBdmxbfTAAw9wyy234HA4uOiiixgxYgQXXHABv/vd77jpppuw2+2a\nva6Bna59+vbty4MPPsjSpUuxWq08/fTTwS652Tm2jZ588kl+85vfYJom/fr1Y+TIkfh8Pm2Lgux0\nbeRyubQtOkeGaZpmsIsQERERERFpKkJ6uKCIiIiIiEhjo5AlIiIiIiJSjxSyRERERERE6pFCloiI\niIiISD1SyBIREREREalHClkiIiIiIiL1SCFLRERERESkHilkiYiIiIiI1COFLBERERERkXqkkCUi\nIiIiIlKPFLJERERERETqkUKWiIiIiIhIPVLIEhERERERqUcKWSIiIiIiIvVIIUtEpJnatGkT9913\nX1BrmDZtGgsXLjyr11RWVnLLLbec13offfRRvv3221M+Z9++fdx7773ntZ4zdS5/BxERCV22YBcg\nIiLB0atXL55//vlgl3HWysvL2bRp03kt48knnzztc/bv38+ePXvOaz0iItI8KWSJiDQD1dXVzJgx\ng5ycHCwWCz169OCKK67gySefZP78+ZSUlDBjxgxyc3OJj48nKSmJLl26cO+999KrVy9uu+02lixZ\nQlVVFQ8++CALFy4kOzub5ORkZs2aRWRkJHPnzuXdd9/F7XZTXl7OL37xC6ZMmXLa2r788kteeeUV\namtrmThxInfddRcAP/zwA8899xw1NTUYhsG9997LqFGjmDFjBrW1tVx11VXMmzePDz744KzXO23a\nNKZOnUrPnj257bbbGDFiBBs2bKC8vJwHHniAMWPG8Nhjj1FYWMjtt9/Oq6++etJ65s2bx9y5c6mp\nqSE6Ohq3281tt93G2LFjAXjuuecwTZN77rmHxx9/nL1791JeXk5UVBTPPfccnTp1Ov8GFhGR0GKK\niEiT98EHH5jTp083TdM0PR6P+eijj5rvvfeeecUVV5imaZoPPPCA+eyzz5qmaZqFhYXmkCFDzOef\nf940TdPMyMgw33zzTdM0TfPll182+/XrZxYUFJher9ecNGmS+fHHH5tVVVXm9ddfb5aUlJimaZrr\n1q0z+/bte9q6br75ZvPOO+803W63WVlZaY4dO9ZcsmSJWVZWZl5++eXmvn37TNM0zYKCAnP48OFm\nfn6+uW/fvrpln896FyxYYO7bt8/MyMgwv/76a9M0TXPhwoXmyJEjTdM0zZUrV9b9fU5Vz/vvv28O\nGjTIrKysNE3TNOfOnWvecccddX/rYcOGmXv27DEXLFhgPvHEE3U1/P73vzf/8Ic/HFePiIg0DerJ\nEhFpBgYMGMBf/vIXpk2bxsUXX8ytt95KSUlJ3eNLly7lgw8+ACA5ObmuF+aoMWPGAJCWlkZGRgat\nWrUCoG3btnW9MrNmzWLp0qXs3buXrKwsDh8+fEa1TZ48GZvNRnR0NGPGjKk7Vqq4uJh77rmn7nmG\nYbB9+3a6dOlSd9/5rPcou93OiBEjAOjevTtlZWU/ec769etPWg9AZmYm0dHRAIwbN45nn32W4uJi\ntm7dSvv27enQoQMdOnSgXbt2zJ49m5ycHFavXk2/fv3OqlYREWkcFLJERJqBdu3a8eWXX7Jq1SpW\nrlzJz372Mx577LG6x202G6Zp1t22WI6fF8lut5/w+lEFBQXccMMNXH/99QwYMICxY8eyePHiM6rN\narXWXTdNE5vNhtfrJT09nTlz5tQ9VlhYSGJiIoWFhfWy3mN/n6O/r2EYJ3zOqer55JNPiIyMrLs/\nMjKSMWPGMH/+fNatW8d1110HwNtvv817773H1KlTmThxIvHx8eTl5Z1VrSIi0jhodkERkWbg7bff\nZsaMGQwdOpQHH3yQoUOH8tZbb9U9PmLECObOnQtAaWkpixYtOmngOJHNmzeTmJjI3XffzbBhw+qC\njtfrPe1rP/zwQ0zTpLy8nAULFjB8+HD69u1LTk4O33//PQDbtm1jzJgxFBUV1YUw0zTPa72nY7Va\ncbvdAKes50Suv/565s2bx7p16+p6AZcvX86kSZO47rrr6NixI19//XW91CkiIqFHPVkiIs3A1Vdf\nzerVqxk/fjwRERG0adOGW265hb/97W8AzJgxg8cee6yuh6VNmzaEh4ef8fKHDBnC3LlzGTt2LBER\nEfTu3ZvExERycnJOO7FDTEwM11xzDbW1tdx8880MHjwYgOeff55nn30Wp9OJaZo8++yzpKam4vV6\n6d69O+PGjePNN9+kVatW57Te0+nSpQtWq5XJkyczZ86ck9ZzIj179sRmszFmzBjCwsIAmD59OjNn\nzmTevHlYrVZ69OhBdnb2edUoIiKhyTCPHR8iIiLN0ltvvUX37t3p168fLpeLKVOmcO+999YdqyQi\nIiJnTj1ZIiJC586deeKJJ/D5fLjdbsaOHVsvAWvlypU8/fTTJ3xs8ODBPPLII+e9jlBa7/moqqpi\n6tSpJ3yspqaGiIiIEz42ceJEfv7znweyNBEROUvqyRIREREREalHmvhCRERERESkHilkiYiIiIiI\n1COFLBERERERkXoUMhNfFBdX/uS+hIRISksPB6EaaU70fyYNRf9r0hD0fyYNQf9n0lCC/b+WlBRz\nTq8L6Z4sm80a7BKkGdD/mTQU/a9JQ9D/mTQE/Z9JQ2ms/2shHbJEREREREQaG4UsERERERGReqSQ\nJSIiIiIiUo9CZuILEREREZH65POZ7D9UTUW1i+gIO6lJUVgt6mOQwFPIEhEREZEm5XCtm4Wr97H4\nhzyqaz1198dE2hnaO4UJF3UgIkxfgyVw9N8lIiIiIk3GzrxyXv54M4cqnERH2BnaK4XE2DBKK52s\n33mQBStz+W5zAXdf3YvObeOCXa40UQpZIiIiItIkbNh5kH98sAmvz+TKIR0Yd2F7wuw/TgHu9nj5\nbGUun6zYy7P/WcedV/ZgQGZSECuWpkqDUkVERESk0du6t4R/fLAJi2HwwPV9uHpYp+MCFoDdZuWq\noR25/7reWK0GL3+8mW05pUGqWJoyhSwRERERadSKymp46cPNAPzquj707NjilM/v2akF913bG4C/\nz9tIYcnhgNcozYtCloiIiIg0Wh6vjxc/2ER1rYebL8+kW/uEM3pdt/YJ3DauKzVOL7M+2oLb4wtw\npdKcKGSJiIiISKM1/9u95BZWMbRXCsP7tDmr117cM4WhvVLIKazkw+W7A1ShNEcKWSIiIiLSKO0r\nqmL+/8/enYdHWd77H/9MZrJnQrZJWBMgEAhL2IKC7AqKdcEFEFCoYvVoe6jLOUq1aG3d+7O2VStu\nradSFBdwFxWQRUBZwr6EQFjDlhWyT5KZ5/cHJRUECWEmz0zm/bouL8jMM/N8wnX7zHzn/s59r9yn\n+OhQTRzZuVHPcfOoNCW0CNNXqw5o/9EyDydEoKLIAgAAgN8xDEOzF+TIbRiaMrpro/e9Cg2x6pbL\nu8htGHrrqx0yDMPDSRGIKLIAAADgd9Zk5yvnwDH16Zygnh1/eqGLc8lIjVdmF4d2HyrV2h0FHkqI\nQEaRBQAAAL9S53Jr7tJc2awW3XRZ49oET3fj8FRZgyyatzRXdS4WwcCFocgCAACAX1m55YgKjlVr\naK/WSowJ98hzJsVGaGiv1jpaUqXlmw575DkRuCiyAAAA4DfqXG59umKvbNYgXTWwvUef+9pB7RUS\nHKSPl+9RTa3Lo8+NwEKRBQAAAL+xfNNhFZVWa3if1oq1h3r0uVtEhWpkv3Y6XlGjFZuZzULjUWQB\nAADAL7jcbn3x/T4F24J01YAUr5xjVP92slmD9OXq/XK7WWkQjUORBQAAAL+wPqdQhcerNahnK7WI\n8uws1kktIkM0uGdLFRyrVlYOKw2icbxaZBUVFWnYsGHKzc315mkAAAAQAL5as1+SNCqzrVfPc8VF\nybJI+uL7feybhUbxWpFVW1urRx99VGFhYd46BQAAAALEroPHlXuwVL1S49UqPtKr50qKi1DfLg7t\nO1KmnAPHvHouNE9eK7KeffZZTZgwQYmJid46BQAAAALE12sOSJIu79+uSc43KvPEeb5Zd7BJzofm\nxeaNJ503b57i4uI0ZMgQvfbaaw16TGxshGw2649udzjsno4H/AjjDE2FsYamwDhDU2jKcVZcWq11\nOQVq3ypaQzKTZbFYvH7OhIQotf9ml9blFMgaGqy4aLqzzOKP1zSL4YVG05tvvlkWi0UWi0Xbt29X\n+/btNXPmTDkcjrM+pqCg7Ee3ORz2M94OeBLjDE2FsYamwDhDU2jqcfbZyr2at2y3brk8TZf29e73\nsX5o8fqDmvXVDl03pIOuHdShyc6L/zD7mtbYAs8rM1mzZ8+u//vkyZP12GOP/WSBBQAAAJyJ2zC0\nbOMhhdiCNKBbyyY994BuSXp/8S4t3XBIVw1MkTWIhbnRMIwUAAAA+Kzt+0pUeLxa/dMTFRHmlfmB\nswoPtemSHi1VUubUpl1FTXpu+DevF1mzZs1Samqqt08DAACAZmjZhkOSpGG92phy/qG9WkuSlm8+\nbMr54Z+YyQIAAIBPKq2s0bqcArVJiFRqm2hTMiQn2ZWcGKVNuUUqragxJQP8D0UWAAAAfNLKzUfk\nchsa2qt1k6woeDaDeraSy23o+21HTcsA/0KRBQAAAJ9jGIaWbz4sm9WigT2adsGL013cPUnWIItW\n0DKIBqLIAgAAgM/Zf7Rchwor1LtTgqLCg03NEh0Rol6dEnQgv1z7jrBFAs6NIgsAAAA+57utRyRJ\nA7ubO4t10qCeJ3Iwm4WGoMgCAACAT3G7Da3adlSRYTb1TI03O44kqWfHeNkjgvX9tqOqc7nNjgMf\nR5EFAAAAn7JtX7GOV9Sof3qSbFbfeLtqs57YDLm8qlabd7NnFn6ab4xaAAAA4N++23JiFb9LfKRV\n8KQB3ZMkSau355ucBL6OIgsAAAA+w1nj0rqcAiW0CDNtb6yzad/SrsSYcK3fWSBnjcvsOPBhFFkA\nAADwGet3FshZ69LA7i1N3RvrTCwWiy7qlqiaWrc25haaHQc+jCILAAAAPmPVvzf8Pdma52suTj+R\naxUbE+MnUGQBAADAJ1RW12rLnmK1S4xSq/hIs+OcURtHlNo6IrV5d5Eqq2vNjgMfRZEFAAAAn7B+\nZ6FcbkP9uyaaHeUnXZSepDqXoaycArOjwEdRZAEAAMAnrMk+sWqfzxdZ3f69yiAtgzgLiiwAAACY\nrrK6Vlv3FCs5MUpJcRFmx/lJiTHh6tAqWtv2lai0osbsOPBBFFkAAAAw3clWwUwfn8U66eJuSTKM\n/8y+AT9EkQUAAADT+Uur4En9uybKImn1dloG8WMUWQAAADBVxclWwSTfbxU8KdYeqrR2MdqZd1wl\nZU6z48DHUGQBAADAVOtz/GNVwdP1Tz+Rdy0tgzgNRRYAAABMtXbHiSLFX76PdVK/NIcsFr6XhR+j\nyAIAAIBpTmkVjPWPVsGTWkSFqku7GO06eFzFpdVmx4EP8VqR5XK59NBDD2nChAmaOHGicnJyvHUq\nAAAA+Cl/bRU86aL0E3tm0TKIH/JakbV48WJJ0pw5c3Tvvffqz3/+s7dOBQAAAD/lb6sKnq5vlxMt\ng6spsvADNm898ciRIzV8+HBJ0qFDhxQdHe2tUwEAAMAPlVfVatveYqUk2ZXoZ62CJ0VHhCg9JVbb\n9pao8FiVEmLCzY4EH+C1IkuSbDabpk+frgULFuiFF174yWNjYyNks1l/dLvDYfdWPKAe4wxNhbGG\npsA4Q1PwxDjbuHqfXG5DwzPb+fW4vbR/srbtLdH2vFLd0Nk/Z+R8mT+ODa8WWZL07LPP6n//9381\nfvx4ff7554qIOPOnFCUllT+6zeGwq6CgzNsREeAYZ2gqjDU0BcYZmoKnxtmiNfslSentWvj1uO3c\nyq4gi0VLsvZrSI8ks+M0K2Zf0xpb4HntO1kfffSRXn31VUlSeHi4LBaLgoJYzBAAAAAnWgW37y1R\nSku7Ev28xc4eEaL09rHac7hMBceqzI4DH+C1qufyyy/Xtm3bdPPNN+v222/Xww8/rLCwMG+dDgAA\nAH5k/c4Cv15V8HQnfw9WGYTkxXbBiIgI/fWvf/XW0wMAAMCPrc0ukCRldnGYnMQz+qY5NOurHVqd\nna8rB6SYHQcmo38PAAAATaqi+sSqgslJUX67quDposKD1a19nPYdKVP+GdYaQGChyAIAAECT2rDT\nvzcgPpuTv88aWgYDHkUWAAAAmtTJIiSzS/MqsvqkJcgaZNGa7RRZgY4iCwAAAE2msrpOW/cUq11i\nlJLimker4EmRYcHq3iFO+/PLdaSYlsFARpEFAACAJrNh14lVBTObWavgSbQMQqLIAgAAQBNqbqsK\nnq5P5wTZrLQMBjqKLAAAADSJKmedtuwpUltHpFrFR5odxysiwoLVo0O88grKdbiowuw4MAlFFgAA\nAJrEhl2FqnM131bBk2gZBEUWAAAAmsTaZrqq4Ol6d06QzRpEy2AAo8gCAACA11U567R5d7HaJESq\ndULzbBU8KTzUpp4d43SwsEIHC8rNjgMTUGQBAADA6zbmFqrO5Va/Zrrgxen6p9MyGMgosgAAAOB1\nWf9eVbB/M/8+1km9UhMUbAvSmux8GYZhdhw0MYosAAAAeFV1TZ027S5Sq/gItXFEmR2nSYSH2pTR\nMV6Hiyp1sJBVBgMNRRYAAAC8alNukWrr3M1+wYvT1bcMsgBGwKHIAgAAgFedXFUwUFoFT8pIjVcI\nLYMBiSILAAAAXlNdU6dNuUVKiotQG0fzXlXwdGEhNmV0StCR4krlFdAyGEgosgAAAOA1G3YWqqbO\nrYvTE2WxWMyO0+Qu+vfs3ertR01OgqZEkQUAAACv+X7bieLi4m5JJicxR8/UeIUE0zIYaCiyAAAA\n4BXlVbXauqdYyUlRahUfWK2CJ4UGW9W7U4LyS6q0/ygbEwcKiiwAAAB4xdod+XK5jYCdxTrp5IIf\nbEwcOCiyAAAA4BWr/90qeFHXwC6yenaMV2iwVWuyj9IyGCC8UmTV1tbqgQce0KRJkzR27FgtWrTI\nG6cBAACAjyopc2rH/mPq3LaF4luEmR3HVCHBVvXunKCCY9Xad7TM7DhoAl4psj755BPFxMTo7bff\n1htvvKHHH3/cG6cBAACAj1qz/agMBe6CF6erbxlkY+KA4JUia/To0brnnnskSYZhyGq1euM0AAAA\n8FHfbzuqIItFmQG2AfHZ9OwYp7AQK6sMBgibN540MvLE6jHl5eX69a9/rXvvvfecj4mNjZDN9uNi\nzOGwezwfcDrGGZoKYw1NgXGGpvBT4+xQQbn2HilT3y6JSk2Jb8JUvm1Az1ZakpWnY9UupSXHmh3H\nb/jjNc0rRZYkHT58WL/61a80adIkXXPNNec8vqSk8ke3ORx2FRTQtwrvYpyhqTDW0BQYZ2gK5xpn\n85fvkST16RTPePyBjPZxWpKVp6+/26PYcK+9DW9WzL6mNbbA80q7YGFhoaZOnaoHHnhAY8eO9cYp\nAAAA4IMMw9DKLUcUEhykvmkOs+P4lO4d4hQeSstgIPBKkfXKK6+otLRUL7/8siZPnqzJkyerurra\nG6cCAACAD9mZd1z5x6rULy1R4aHM1vxQsC1IfTo7VFzq1M6842bHgRd5ZeTPmDFDM2bM8MZTAwAA\nwIet2HxYkjSoZ0uTk/imgT1aauWWI1qx+bDS2sWYHQdewmbEAAAA8AhnrUtrsvMVFx2qriks7HAm\n6Smxio8O1ersfDlrXGbHgZdQZAEAAMAj1ucUqLrGpYHdWyrIYjE7jk8Kslh0SY9Wcta4tHYHe2Y1\nVxRZAAAA8IgVW45Iki7pQavgTxmU0UrSf1or0fxQZAEAAOCCFZdWa9ueYqW2iVar+Eiz4/i0xJhw\ndWkXo+z9x5R/rMrsOPACiiwAAABcsOWbD8uQNKhHK7Oj+IXB/57NWslsVrNEkQUAAIAL4nYbWrbx\nkEJDrLq4W5LZcfxCZpdEhYZYtWLzYbnZM6vZocgCAADABdm8u0jFpU4N6JbE3lgNFBpi1cXpiSoq\ndWrL7mKz48DDKLIAAABwQZZuOCRJGt67jclJ/MvwPif+vRavyzM5CTyNIgsAAACNVlxarY25hWrf\n0q6Ulnaz4/iV9i2j1aFVtDblFqnwOAtgNCcUWQAAAGi0ZRsPyTD+MyuD8zOiTxsZ+s9sIJoHiiwA\nAAA0isvt1rebDissxKqL0hPNjuOXLkpPVGSYTd9uPKQ6l9vsOPAQiiwAAAA0yvqcQpWUOTWwR0uF\nhbDgRWOEBFs1qGcrlVbWKmtHgdlx4CH83wAAzdTyg9977LkGtxngsefy1VwAzt/Xaw5Ikkb2a2ty\nEv82ok8bfb3mgBavy2MJ/GaCmSwAAACct9xDx7Xr4HFlpMarVXyk2XH8WlJchHp0iFNO3nHtOVxq\ndhx4AEUWAAAAztuCf89iXd6/nclJmocrLk6WJH25ar/JSeAJtAsCAM7Jky1+APxffkml1mYXqK0j\nSukpsWbHaRa6pcQqOTFKa3fkq+BYlRwx4WZHwgWgyAIAH0IxA8AffL58j9yGoVH928pisZgdp1mw\nWCy64uJkvf7pNi1Yc0CTRqWZHQkXgHZBAAAANFiVs05ffb9X0RHBGsAiDR7Vv2ui4qJDtWzTIZVX\n1ZodBxeAmSwAgN9ipUKg6S3KylNFdZ1uHNZRwTar2XGaFZs1SKMy2+ndb3Zp8fqDuuaS9mZHQiMx\nkwUAAIAGqa6p09drDigyPFiX9mXZdm8Y2qu1IkJtWrDmgKpr6syOg0by6kzWxo0b9dxzz2nWrFne\nPA0AABfM09+HY2YMzdGS9Sfa2CZe3kXhoTREeUN4qE2X92+nj5bv0TfrDupnA1LMjoRG8Nr/Ha+/\n/ro++eQThYezMgqA5q2hb87tpWEqK6v2choA8A5nrUtfrt6vsBCrrh3SUVUVTrMjNVsjM9vq6zUH\n9OWq/RrRpw0FrR/yWrtgcnKyXnzxRW89PQAAAJrQoqw8lVbU6LJ+bRUVEWJ2nGYtIixYl/dvp/Kq\nWn2zLs/sOGgEr5XFV1xxhfLyGj4oYmMjZDvDlycdDrsnYwFnxDjDhbCXhjX8WHvDj4V/M/O6wjUN\nnlZeWaP5q/YrKjxYt1zVXRLjzNsmjE7Xgqw8fbX6gMaO7BLQha0/jjWfmXssKan80W0Oh10FBWUm\npEEgYZzhQjW0BdBup10wkJh1XeGaBm94f8kuVVTVavyITqoqr1ZUeDDjrAn8bECy3l+cq//7dItu\nurSz2XFMYfY1rbEFHqsLAgAA4KyKS6u1cG2eYu2hurRvG7PjBJSR/doqPjpMi7LyVHCsyuw4OA8U\nWQAAADir95fkqrbOresGd1BIMPtiNaVgm1U3DuuoOpehuUtzzY6D8+DVdsG2bdvqvffe8+YpAKBR\nPL1cNwA0Rzv2l2jVtqPq0MquQRmtzI4TkC7qlqSv1xzQ6u35GtGnRF2SY82OhAZgJgsAAAA/4nK7\nNXtBjiRp0qg0BVksJicKTEEWi265vIsskt76aofqXG6zI6EBfGbhCwAAmhNPzpaysTHMsHBtnvIK\nKjS4Zyultm5hdpyA1rF1tIb1aaMl6w/q6zUH2KDYD1BkAfAbtPgBQNM4Wlypect2Kyo8WGNHpJod\nB5JuHNZRIzvxggAAIABJREFU63bk65Ple9Svi0NJsRFmR8JPoF0QAAAA9dyGoTfnZ6u2zq1bLk9T\ndADvz+RLIsOCNXFkmmrq3Pr759vldhtmR8JPYCYLAAAfdz6zuPbSn96PjdZDnMuitXnKOXBMfTon\nqH/XRLPj4AcuSk9UVk6B1mbn66vV+3UlbYM+i5ksAAAASJL2HinV+0t2yR4RrClXdJGFxS58isVi\n0eTL0xQdGaIPv92tfUfYENpXMZMFwKv4HhUA+IcqZ51e+Wir6lyGfnF1N7WICjU7Es7AHhGiqT9L\n11/e36iXP9qs393aXxFhwWbHwmkosgAAQKOwgmLz4TYM/ePz7co/VqUrBySrZ8d4syPhJ2Skxuvq\nS1L02cp9euOz7frvG3uyxL6PoV0QAAAgwH307W5l5RSoS7sYXT+ko9lx0ADXDe6o9JRYbdhVqI++\n3WN2HJyGmSwAAAIILbw43XdbjuizlfuUGBOuX93QUzYrn8H7g6Agi+4a011PvpWlz1buVUKLMA3t\n1drsWPg3iiwAAGA6Wg/NsX5ngf7xxXaFh9p0z7gMRYXz3R5/Yo8I0X3je+nJWVl668sdio4MUe9O\nCWbHgmgXBAAACEhb9hRp5kdbZLMG6b5xvdQqPtLsSGiEpLgI/frGDNmsFv1t3mZt2FVodiSImSwA\np6GVCACav7XZ+Xrt062SLPr1jT3VqW0LsyPhAnRq20L3juulv3ywUX+bt1l3jemhfl0cZscKaMxk\nAQAABJDF6/I086MtslqDdM+4DKW3jzM7Ejyga0qs7hvXSzZrkF7+cLMWrDlgdqSARpEFAAAQAGrr\n3Prnl9ma9XWOoiKCNX1SH3WnwGpWuiTHavrNfRQdGaJ3Fu3UW19mq7bOZXasgES7IGAS2vIAAE3l\ncFGFXv90m/YeKVO7xCj96oaeSowJNzsWvKB9y2jNmJKpv36wSUs2HFLuoVLdNaY737lrYsxkAQAA\nNFMut1tfrtqvx95co71HyjSoR0s9PLkfBVYzF98iTDOm9NPw3q11IL9cj725Rp9/t1d1LrfZ0QIG\nM1kAAADN0JbdRZrzzS4dKqyQPSJYd17TTf26JJodC00kJNiqKaO7qlv7OP1rQY7mLt2t77cd1dhh\nqcpIjZfFYjE7YrNGkQUAANBMuA1DG3cVav73+7Xr4HFZLNLQXq11w7COio4IMTseTJDZNVHp7WP1\n/uJcfbvxkP76wSZ1bttCoy9KVq9OCQoKotjyBoosAADQrATixsYlZU6t2nZU3246pMNFlZKk3p0S\ndN2QDkpOspucDmaLDAvWrVd21cjMtpq3dLc27CrUzrzNSowJ1/A+bXRxtyTF2kPNjtmsUGQB54HF\nKgAAvsAwDB0qqtSW3UXalFuk7P0lMgzJGmTRJT1a6sqLk9XGEWV2TPiYto4o/XpshvIKyrVw7QGt\n3HJU7y3epfcX71LndjHqm+ZQt/axapMQSTvhBbIYhmF444ndbrcee+wx7dixQyEhIXriiSeUkpJy\n1uMLCsp+dJvDYT/j7Wj+mrKYsdvDVFZW3WTnQ+BirKEpMM58V2NnxdyGoWNlTh0uqtSew6Xac7hU\nuw+V6nhFTf0xqW2idUn3luqfnqSo8GBPRT4r3qM1D2WVNVqbna9V2/OVc+BY/e0tIkOU2qaFUlra\nlZJkV7vEKMVEhZhSeJk91hyOxs0Ee20ma+HChaqpqdG7776rDRs26JlnntHMmTO9dToAAACf9sMP\nEF0uQ3V1Um2dodpaqbbWUFWVoapqqbraUFW1oYpKQ2VlbpWWGXKdttVRTFSI+ndNVM+O8erRMU4x\nUbR64fzZI0I0om9bjejbViVlTm3dU6xt+4q1fW+J1uUUaF1OQf2xIbYgOWLC5YgJV0KLMEVHhsge\nEayo8BN/2iOCFRpsVWiIVaHBVtmsgb2IudeKrKysLA0ZMkSS1Lt3b23ZssVbpwIAAGhyFRVurVpb\nK2eNIcOQ3G7V/+k2DBluyW2o/k+3+0RxVVt74riGCA6WYlpYFG0PUnS0RQlxQUpICFJkRJCkcknl\n2nJ8n3S88b+Hv3zvDN4Vaw/V4IxWGpzRSoZhqKTMqX1Hy7TvSJkOFlSo4HiVCo5V6WBhRYOezxpk\nUUiwVaHBQbJZg2QNsigoyHLiT8sP/v6DP8NDbJpwWWfFtwjz8m/rfV4rssrLyxUV9Z9eYKvVqrq6\nOtlsZz7l2abiGjtFB/92vWOU2REAADinWwaZncA8vEdr3hITpS6pDrNjSPLPsea1ebyoqChVVPyn\n0nW73WctsAAAAACgufBakdW3b18tW7ZMkrRhwwalpaV561QAAAAA4DO8vrpgTk6ODMPQU089pdTU\nVG+cCgAAAAB8hteKLAAAAAAIRIG9tiIAAAAAeBhFFgAAAAB4EEUWAAAAAHiQT62p/tprr+nbb7+V\nJJWWlqqwsFArVqw45ZiXXnpJS5Yskc1m08MPP6yMjAwzosKPuVwuPf3009qyZYtqamo0bdo0jRgx\n4pRjnnjiCa1bt06RkZGSpJdffll2u//t0QDzNGScvffee5ozZ45sNpvuvvvuH90PNIRhGBo6dKja\nt28vSerdu7f+53/+55Rj7r77bpWUlCg4OFihoaF64403TEgKf9aQccZ7NHhKbm6uxo8fr5UrVyo0\nNPSU+/zlPZpPFVl33nmn7rzzTknSf/3Xf+mBBx445f6tW7dq9erVev/993X48GFNmzZNc+fONSMq\n/NjHH3+suro6zZkzR0ePHtX8+fN/dMzWrVv1xhtvKC4uzoSEaA7ONc4KCgo0a9YszZ07V06nU5Mm\nTdKgQYMUEhJiUmL4q/3796t79+565ZVXznrMvn379Pnnn8tisTRhMjQn5xpnvEeDp5SXl+vZZ589\n6+uhv7xH88l2wa+//lrR0dEaPHjwKbdnZWVp8ODBslgsat26tVwul4qLi01KCX+1fPlyJSUl6c47\n79SMGTN06aWXnnK/2+3Wvn379Oijj2rChAn64IMPTEoKf3aucbZp0yb16dNHISEhstvtSk5OVnZ2\ntklp4c+2bt2qo0ePavLkybrjjju0e/fuU+4vLCxUaWmp7rrrLk2cOFGLFy82KSn82bnGGe/R4AmG\nYeiRRx7R/fffr/Dw8B/d70/v0UybyXr//ff1z3/+85TbnnrqKWVkZOjVV1/V888//6PHlJeXKyYm\npv7nyMhIlZWV+XwlC/OcaZzFxsYqNDRUr776qtasWaOHHnpIs2fPrr+/srJSt9xyi2677Ta5XC5N\nmTJFPXr0UNeuXZs6PvxEY8ZZeXn5Ke0NkZGRKi8vb7LM8E9nGmuPPvqo7rzzTl155ZVau3atHnjg\ngVNmEGprazV16lRNmTJFx48f18SJE5WRkaH4+Pimjg8/0Zhxxns0nK8zjbPWrVvrZz/72Vnfc/nT\nezTTiqxx48Zp3LhxP7p9165dio6OVkpKyo/ui4qKUkVFRf3PFRUVPtmDCd9xpnF23333afjw4bJY\nLLrooou0d+/eU+4PDw/XlClT6j9BGTBggLKzs33yf2D4hsaMM65naIwzjbWqqipZrVZJUmZmpvLz\n82UYRn1rYEJCgiZMmCCbzab4+Hilp6drz549FFk4q8aMM65pOF9nGmejRo3S3LlzNXfuXBUUFGjq\n1KmnfEDpT+/RfK5dcOXKlRo6dOgZ7+vbt6+WL18ut9utQ4cOye128wkJzlu/fv20dOlSSVJ2drZa\ntWp1yv179+7VxIkT5XK5VFtbq3Xr1ql79+5mRIUfO9c4y8jIUFZWlpxOp8rKypSbm6u0tDQzosLP\nvfTSS/WfBp8caz/87tXKlSt1zz33SDrxxnfnzp3q2LGjKVnhv841zniPBk9YsGCBZs2apVmzZsnh\ncOgf//jHKff703s0n1r4QpL27NmjQYMGnXLbH//4R40ePVoZGRnKzMzUTTfdJLfbrUcffdSklPBn\n48eP1+9+9zuNHz9ehmHo97//vSTpzTffVHJysi677DKNGTNG48ePV3BwsMaMGaPOnTubnBr+piHj\nbPLkyZo0aZIMw9B99933oxWUgIa488479cADD2jp0qWyWq16+umnJf3ntXPYsGFavny5xo8fr6Cg\nIN1///28+cV5O9c44z0avMkf36NZDMMwzA4BAAAAAM2Fz7ULAgAAAIA/o8gCAAAAAA+iyAIAAAAA\nD6LIAgAAAAAPosgCAAAAAA+iyAIAAAAAD6LIAgAAAAAPosgCAAAAAA+iyAIAAAAAD6LIAgAAAAAP\nosgCAAAAAA+iyAIAAAAAD6LIAgAAAAAPosgCAAAAAA+iyAIA+KzNmzfr17/+9TmPe+mll7Rw4UKv\n51m1apWuvvpqr58HAODfKLIAAD6rZ8+eeuGFF8553KpVq1RXV9cEiQAAODeb2QEAAP7rm2++0cyZ\nM1VbW6uwsDBNnz5dy5cv186dO1VYWKiioiJ17dpVTz75pKKiovT2229rzpw5Cg4OVmhoqP7whz+o\nU6dOZ33+VatW6fHHH9dnn32m3/zmN4qKitKOHTt05MgRdezYUc8//7w++ugjbdmyRX/84x9ltVo1\nbNgwPffcc1qzZo1cLpe6deumGTNmKCoqSpdeeqkyMjK0Y8cOTZs2TTNnztSnn34qSSotLdVll12m\nhQsXat26dXr11VdVU1Oj4uJiXXfddbr33nub6p8VAODnmMkCADTK3r179ec//1mvvfaaPvroIz3+\n+OOaNm2aKisrtXHjRr3wwguaP3++bDab/va3v8nlcumpp57SG2+8oblz52r8+PHKyso6r3Nu2bJF\nf//73/XFF18oPz9fX375pW6++Wb16NFDDz74oEaNGqXXXntNVqtV8+bN0yeffKLExEQ999xz9c/R\nuXNnzZ8/X1deeaUqKiq0efNmSdJnn32mYcOGKTo6Wv/4xz/0zDPPaN68eXr33Xf12muvqbi42KP/\nfgCA5ouZLABAo6xYsUL5+fm69dZb62+zWCzav3+/Ro8erYSEBEnS2LFj9dRTT2n69OkaPXq0JkyY\noOHDh2vQoEG65pprzuucQ4YMUUhIiCQpLS1Nx48f/9ExS5YsUVlZmVauXClJqq2tVXx8fP39mZmZ\n9VnHjh2rDz/8UD179tS8efP0wAMPyGKx6JVXXtGSJUv02WefKTc3V4ZhqKqq6ryyAgACF0UWAKBR\n3G63Bg4cqL/85S/1tx0+fFjvvvuuampqTjkuKOhE48Rzzz2nnJwcrVy5Uq+//ro++OADzZw5s8Hn\nDAsLq/+7xWKRYRhnzPXwww9r2LBhkqSKigo5nc76+yMiIur/fuONN+q6667TuHHjVFZWposvvliV\nlZW6/vrrNXLkSGVmZurGG2/UwoULz3guAADOhHZBAECjDBgwQCtWrFBubq4kaenSpbr22mvldDq1\naNEilZWVye1267333tOIESNUXFysYcOGKSYmRrfeeqvuvfde7dixwyNZrFZr/cIXgwcP1uzZs1VT\nUyO3261HHnlEzz///Bkfl5SUpF69eunRRx/V2LFjJUn79u1TeXm57r33Xl166aVavXp1/XMBANAQ\nzGQBABqlc+fO+sMf/qD7779fhmHIZrNp5syZ+u6775SQkKA77rhDJSUl6t+/v+666y6FhYXp7rvv\n1q233qqwsDBZrVY98cQTHskyYsQIPfvss6qtrdUvf/lLPfvss7r++uvlcrmUnp6u3/zmN2d97Lhx\n43TPPffUz6h16dJFw4cP15VXXqno6GglJyerU6dO2rdvX32rIgAAP8Vi0P8AAPCgF198USUlJXr0\n0UfNjgIAgCmYyQIAmOree+/Vnj17znjfn//8Z3Xs2LGJE53bG2+8Ub/0++mqqqoUHh5+xvtmz56t\nqKgob0YDAPgAZrIAAAAAwINY+AIAAAAAPIgiCwAAAAA8yGe+k1VQUGZ2BJxBbGyESkoqzY6BZoLx\nBE9iPMGTGE/wJMZT8+Fw2Bv1OGay8JNsNqvZEdCMMJ7gSYwneBLjCZ7EeAJFFgAAAAB4EEUWAAAA\nAHgQRRYAAAAAeBBFFgAAAAB4EEUWAAAAAHiQzyzhDgD+YvnB7xv92MFtBngwCQAA8EUUWQDgRyjw\nAADwfbQLAgAAAIAHUWQBAAAAgAdRZAEAAACAB1FkAQAAAIAHUWQBAAAAgAexuiAAv8QqewAAwFcx\nkwUAAAAAHtSgImvjxo2aPHmyJGnbtm0aMmSIJk+erMmTJ+uLL7445djq6mpNmzZNkyZN0h133KHi\n4mLPpwYAAAAAH3XOdsHXX39dn3zyicLDwyVJW7du1W233aapU6ee8fh33nlHaWlpmjZtmj7//HO9\n/PLLmjFjhmdTAwAAAICPOudMVnJysl588cX6n7ds2aIlS5bo5ptv1sMPP6zy8vJTjs/KytKQIUMk\nSUOHDtV3333n4cgAAAAA4LvOOZN1xRVXKC8vr/7njIwMjRs3Tj169NDMmTP1t7/9TdOnT6+/v7y8\nXHa7XZIUGRmpsrKyBgWJjY2QzWY93/xoAg6H3ewIaEY8NZ7spWGmZbiQc28s3XBh57ab93v7oub4\nO8E8jCd4EuMpsJ336oKjRo1SdHR0/d8ff/zxU+6PiopSRUWFJKmioqL+2HMpKak83yhoAg6HXQUF\nDSuUgXPx5HgqK6tu9GMvNMOFnNtMze3/ZX+/PjlrXDpW4VRldZ1cLkMut1t1bkOGYSgsxKbwUJsi\n/v1faAgfQnqbv48n+BbGU/PR2GL5vIus22+/XY888ogyMjL03XffqXv37qfc37dvXy1dulQZGRla\ntmyZ+vXr16hgAAD4u5palw4XVepAfrnyCsp1sKBcRaVOHSt3qrrG1eDniQi1yREbrqTYcDliwtU6\nIVIdW0crMSZcFovFi78BAKAxzrvIeuyxx/T4448rODhYCQkJ9TNZU6dO1SuvvKKJEydq+vTpmjhx\nooKDg/WnP/3J46EB4EJcyB5bwE9x1rq0K++4sveXKHtfifYcLpPbME45xh4RrIQW4YqJClFMVKgi\nw22yWYMUZLHIarXIYrGouqZOVU6XKqtrVemsU9Hxah0sqNC+I6d+Mh4VHqwOraLVqU20enSMV0pL\nu4IougDAdBbDOO3qbxKmVH0T093wJE+OJwql89fcNmH2letTaWWN1ucUaO2OAmXvK5HLfeJlNchi\nUftWdqW0tKutI0rtHFFq44hUeOh5f74pSXIbho6VOXW0pEoH8su1+9Bx7T5UqsLj/2lfjY4MUc+O\nccpITVDPjnEKC2ncuQKRr4wnNA+Mp+ajydoFAQAIdFXOOq3aflRrtucre3+JTn5cmZJkV3r7WHVN\njlXnti0aXVCdSZDForjoMMVFhyk9JVZSO0lSaUWNcg4c06bcIm3aXaQVm49oxeYjCg22qm+aQ5f0\naKn0lFgFBTHDBQBNhSILAIAG2nO4VEs3HNKqbUflrD3xnarU1tHK7JqofmkOJcSEN3mm6MgQZXZN\nVGbXRLkNQ/uPlml9TqG+23qk/r+YqBAN6tlKl/Ztq1h7aJNnBIBAQ5EFAMBPcLndWpOdr69WH6j/\nTlR8dKiuHJCsQT1aKb5F45fV97Qgi0XtW0arfctoXTekg3bmHdd3W49ozfZ8ff7dPn25ar/6dXFo\nVGY7pbZpYXZcAGi2KLIAADiDmlqXVmw+rPmr9qvweLUsFqlP5wQN691GPTrE+Xz7ncViUVq7GKW1\ni9HEyzrr+21HtWDtAa3enq/V2/OV2jpa1wzqoJ4d41ihEAA8jCILAIAfqK1z6Zt1BzX/+30qrayV\nzRqkEX3a6IqLk5VoQjugJ4QEWzW0V2sNyWil7H0lWrA2Txt2Feov729Uh1bRGjOYYgsAPIkiCwAA\nnWgLXLnliD5evkfFpU6Fh1p11cAUjcxspxaRIWbH8wiLxaL09nFKbx+nA/nl+mTFHmXtKKgvtsYN\nT1XXlFizYwKA36PIAgAENMMwtHFXkd5fskuHiyplswZp9MXJ+tmAFEWFB5sdz2vaJUbpV9f3PKXY\n+uM769Wnc4LGj+ikpLgIsyMCgN+iyAIABKyjxZV6e+FObd5dJItFGtqrla4d1EFx0b6zmIW3nSy2\ndh8q1Zxvdmr9zkJtyi3SZf3a6ppB7RUZ1nwLTQDwFoosAECDXMgG0L62EbKzxqXPvturr1bvV53L\nULf2sZo4Mk1tEiLNjmaajq2j9dDNfZW1o0DvLd6lr9cc0Hdbj2jCpZ01oHsS39cCgPNAkQUACCgb\ndxVq1tc7VFzqVFx0qCZc2ln9ujgoInTiO1uZXRPVq1OCvl6zX5+u2KvXP9um5ZsPa/IVXdSSFkIA\naBCKLABAQCitrNGchTv1/bajsgZZdPUlKbpqYHuFBlvNjuZzgm1Bumpge12UnqTZC3K0KbdIj/59\nta4emKKfDUyRzRpkdkQA8GkUWQAQIC6k3c+fGYahVduP6u0FO1VeVauOraN125Vd1cYRZXY0n+eI\nCdc9YzOUtaNAby/M0UfL92jdzgL94qpuapvIvx8AnE2DiqyNGzfqueee06xZs7R9+3Y9/vjjslqt\nCgkJ0bPPPquEhIRTjr/++usVFXXi4tu2bVs9/fTTnk8OAMA5lFXW6J9f7tC6nAKF2II04dJOGpnZ\nzuc3EvYlJ1sIu7WP05xvdmr5psP6/f+t0ZjBHXTlgGRZg5jVAoDTnbPIev311/XJJ58oPPzEBoxP\nPvmkHnnkEaWnp2vOnDl6/fXX9dBDD9Uf73Q6ZRiGZs2a5b3UAACcw6bcIr35xXYdr6hRWtsWmnp1\nN7/dTNgXRITZNPVn6eqX5tD/fZmtect2a/3OQt1xTTe+qwUApznnx0/Jycl68cUX639+/vnnlZ6e\nLklyuVwKDQ095fjs7GxVVVVp6tSpmjJlijZs2ODhyAAAnJ2z1qVZX+/QX97fqPKqWo0bnqoHJ/Wl\nwPKQXp0S9PjtF2tA9yTtOVyq37+5Rss3HZZhGGZHAwCfYTEacFXMy8vT/fffr/fee6/+tnXr1um3\nv/2tZs+erbi4uPrbd+zYoY0bN2rcuHHau3ev7rjjDn355Zey2X560qyuziWbjS8fA2iYhbnfmh0B\n52Fk6pAmOc/+I6V65q21OnC0TMkt7fqfSf3UsU2LJjl3IFq2Pk9/+2CjKqvrNLR3G909tlez3sAZ\nABqqUQtffPHFF5o5c6Zee+21UwosSerQoYNSUlJksVjUoUMHxcTEqKCgQK1atfrJ5ywpqWxMFHiZ\nw2FXQUGZ2THQTHhyPJWVVXvkedA0vHEdOX08rdh8WLO+3qGaWrcu69dW40ekKtgWxDXMi9LbttBj\nt/bXq59u1bINB7V1d5HuGtNdqX5Y2PJ6B09iPDUfDoe9UY8772+rfvzxx/rXv/6lWbNmqV27dj+6\n/4MPPtAzzzwjSTp69KjKy8vlcDgaFQ4AgHNx1rr0jy+26++fb5c1yKJfXtdDN49KUzDdEU0iISZc\nv7m5r64d1F7FZdV6ZvY6LcrKo30QQEA7ryLL5XLpySefVEVFhaZNm6bJkyfrhRdekCQ9+OCDOnTo\nkMaOHauysjJNnDhR9913n5566qlztgoCANAYh4sq9MRba7V802GlJNn1u1v7K7NrotmxAo41KEjX\nDemo/72ptyLCbJq9IEevfbpN1TV1ZkcDAFM06DtZTYEpVd/EdDc8yZPjKVD3fPJXg9sM8Phzbj1w\nXC+9t0HOWpdG9G2jCZd2YvbKB5SUOfXyR5uVe7BUrRMi9avre6hVfKTZsc6J1zt4EuOp+WiydkEA\nAMzkcrv19sIc/Wl2liwW6a4x3TX58i4UWD4i1h6q6ZP6amRmWx0qrNAf/rlWa7LzzY4FAE2KPj4A\ngN8oq6zRKx9v1fZ9JWqXFKW7x/RgjyYfZLMGadLINHVq00JvfpGtmR9tUW7/dho3IpXNiwEEBIos\nAIBf2H+0TC/N26zC49Xq3SlBD912kSpYZdKnXZSepLaOKP3tw836es0BHSwo113X9VBkGMu8A2je\n+DgJAODz1mTn66l/ZanweLWuHdRe/31jT0XwRt0vtE6I1IwpmeqVGq+te0v0+D/X6nBRhdmxAMCr\nmMkCYAoWrkBDuN2GPvx2tz7/bp9CQ6z61fU91a8L24L4m/BQm6bdmKG5y3I1//v9euKttfqva3so\nIzXe7GgA4BXMZAEAfFJ1TZ1emrdZn3+3T4kx4ZoxuR8Flh8LCrJo3PBOuuOabqqtM/TXDzbqq9X7\n2U8LQLPETBYAwOeUlDn11w82av/RcqWnxOru63ooKpz2wOZgYPeWSoqN0IvzNundb3YpL79cU0Z3\nVbCNz30BNB9c0QAAPmX/0TI98dZa7T9arqG9Wum+8b0osJqZjq2j9ejP+6t9S7tWbDmiP81Zr/Kq\nWrNjAYDHUGQBAHzGxl2Fevpf61RS5tS44an6+eiusll5qWqOYu2h+s3NfZXZNVE5ecf15FtrdbSk\n0uxYAOARvHIBAHzCwrUH9MLcTXIbhn55XQ9dOSBFFovF7FjwopBgq+4a011XDkjW0ZIqPflWlnbl\nHTc7FgBcMIosAICp3G5Dsxfk6O2FO2WPCNH0SSdmNxAYgiwnFsSYMrqLKqvr9Md31mtNdr7ZsQDg\nglBkAQBMU+Ws0wtzN2lRVp7aJERqxpR+6tg62uxYMMHw3m10z7gMWa0Wzfxoi+Z/v4+VBwH4LVYX\nBNBo57vXlb00TGVl1V5KA39TUubUX9/fqP355ereIU53j+mhiDBelgJZz47xeujmvvrrB5v0/pJc\nFRyr0s2Xp8kaxGfCAPxLg65aGzdu1OTJkyVJ+/bt08SJEzVp0iT97ne/k9vtPuXY6upqTZs2TZMm\nTdIdd9yh4uJiz6cGAPi1Q4UVemrWWu3PL9ew3q11z9gMCixIkpKT7JoxJVPJiVFasuGQ/vrBJlU5\n68yOBQDn5ZxF1uuvv64ZM2bI6XRKkp5++mnde++9evvtt2UYhhYtWnTK8e+8847S0tL09ttv67rr\nrtPBifGEAAAgAElEQVTLL7/sneQAAL+Uc+CYnv5XlopKnbphaEdNuaILKwjiFLH2UE2/ua96dozX\nlt3Femb2iRUnAcBfnPNjw+TkZL344ot68MEHJUlbt27VRRddJEkaOnSoVqxYoVGjRtUfn5WVpV/8\n4hf191NkAQBOtpbu3V+npd/WyG1IQy4JUUzKEa04dOScjx/cZoC3I8LHhIfa9OuxPTX76xwt2XBI\nT81aq/vG91brhEizowHAOZ2zyLriiiuUl5dX/7NhGPVL6kZGRqqsrOyU48vLy2W32896/9nExkbI\nZrM2ODiajsNhNzsCfJS9NOz8H2M//8egedi4uVpLvq1RsE26enSU2ieHNPixZ7sOcX1q/u6/JVNt\nW+XoX/Oz9ezb6/TI1AFK7xDnlXMxnuBJjKfAdt4N8EE/+PJpRUWFoqNPXQUqKipKFRUVZ73/bErY\ngNAnORx2FRQ0rFBG4DnfRSzsdha+CESGYShrfa02ba1TWJh0+aVhio91n9dYONN1iOtT4Li0V2sF\nW6R/zt+h376yQneN6a4+nR0ePQfjCZ7EeGo+Glssn3cTfLdu3bRq1SpJ0rJly5SZmXnK/X379tXS\npUvr7+/Xr1+jggEA/J/LZWjZyhpt2lqnaLtFV48OU0I837/C+RuS0Vq/HttTFov00rzNWrLhoNmR\nAOCszvuVbvr06XrxxRd10003qba2VldccYUkaerUqaqpqdHEiRO1c+dOTZw4Ue+++67++7//2+Oh\nAQC+r7bW0MLFTuXudikhPkhXjQ5TtJ0CC42XkZqgByf2VWRYsN76coc++nY3e2kB8EkWw0euTkyp\n+iamu/FTznufLNoFA0ZllaEF31SrqNhQuzZBGj4kVMHBlkY/35kWvuD6FLiOFlfqT+9uUOHxag3J\naKUpo7tc8F5ajCd4EuOp+WiydkEAAH7K8eNufTb/RIGV1smqy4ZfWIEFnC4pLkK/nZKplCS7vt10\nWC/O3SxnjcvsWABQjyILAOAx+QUuffZVtcorDPXpFaxBA0IUFESBBc9rERmiByf1UfcOcdqUW6T/\nN2e9yiprzI4FAJIosgAAHrL/QJ3mL3CqpkYaPCBEfTKC67f8ALwhPNSme8ZmaGD3ltp9qFRP/Wud\nCo5VmR0LACiyAAAXLjunVouW1sgiaeTwUKV1Pu8dQoBGsVmD9Iur03XlgGQdLa7UU7OytO8I34UB\nYC6KLABAoxmGoXUbarRyVa1CQ6QrLw9Vu7ZsLI+mZbFYNG54J00a2VmlFTV65u112rqn2OxYAAIY\nRRYAoFHcbkPLv6vRhs11sked2APLkUCBBfOMzGynu67rIZfLrb+8v1HfbT1idiQAAYp+DgDAeaut\nNbR4mVN5h9xKiA/SqBGhCg/n+1cwX/+uiYqOCNYLczfr9U+36Vi5U6MvSub7gQCaFDNZAIDzUlVl\naP6CEwVW29ZBunIUBRZ8S5fkWD10c1/F2kP1/uJcvbNwp9xun9gWFECAoMgCADRYaalbn31VrcIi\ntzqnWjVyBHtgwTe1TYzSbyf3U5uESC3MytPMj7eoppa9tAA0DYosAECDFBS69NmX1SorM9S7p02D\nB7IHFnxbXHSYHrqlr7q0i1HWjgI99+4GlVfVmh0LQADgO1kAgHM6kOfS4mVOudzSJReHqGta0758\nLD/4/Y9us5eGqays+pyPHdxmgDciwU9EhAXr/pt66++fb9Pq7fl6alaW7hvfS46YcLOjAWjGmMkC\nAPykHTvrtHCJU4aky4Y1fYEFXKhgW5DuvLa7Rl+crCPFlXpyVpb2Hik1OxaAZqxRr5Tz5s3Thx9+\nKElyOp3avn27VqxYoejoaEnSE088oXXr1ikyMlKS9PLLL8tut3soMgCgKRiGoQ2b6rR+U61CQ6VR\nI0KV6GCJdvinIItF40d0Upw9VO8s3KlnZ6/XL6/voZ4d482OBqAZalSRdcMNN+iGG26QJP3+97/X\njTfeWF9gSdLWrVv1xhtvKC4uzjMpAQBNyu02tHJVjXJ2uRQVZdEVl4WqRTTND/B/IzPbKdYeqtc+\n3aa/vr9JPx/dRUN6tTY7FoBm5oJeMTdv3qxdu3bppptuqr/N7XZr3759evTRRzVhwgR98MEHFxwS\nANB0amsNLVriVM4ul+LjTmwyTIGF5qRfl0T974TeCg+16s352fp4+R4ZBku8A/CcC2qsf/XVV/Wr\nX/3qlNsqKyt1yy236LbbbpPL5dKUKVPUo0cPde3a9SefKzY2QjYbbSi+yOGg1RNnZi8NO//H2M//\nMWg65eVufbmwTAWFbqW0C9bProhSSIjvriDYkPHENQxn4nDY1a51jB5743t9vHyPKmtc+uXYXrJZ\n+UABnsG1J7A1usgqLS3Vnj17NGDAqas2hYeHa8qUKQoPP7Fqz4ABA5SdnX3OIqukpLKxUeBFDodd\nBQVlZseAj2rIym4/ZLc3bDU4mKOo2K0Fi52qrDTUpbNNAy+yyel0yuk0O9mZNXQ8cQ3D2YQFSQ9N\n6qO/vL9JC1bv1+HCct09pofCQ1ncBReG90/NR2OL5UZ/XLNmzRoNHDjwR7fv3btXEydOlMvlUm1t\nrdatW6fu3bs39jQAgCZw4KBLn39VrcpKQ/37BuuSi4PZAwsBoUVUqKbf3Ef9uiZqy+5iPfWvLBUe\nrzI7FgA/1+gia8+ePWrbtm39z2+++aYWLVqk1NRUjRkzRuPHj9fkyZM1ZswYde7c2SNhAQCet21H\nrRYudsowpEuHhqhn92BZLBRYCBxhITY9MvViXda3rQ4WVOiJf65V7qHjZscC4Mcsho9805MpVd/E\ndHfzdqYNXr2JdkHf4nYbWpNVq63ZdQoLk0YO968l2hs6ntiMGA1x8vVu4doDemfRTtmsQbr9qnRd\nlJ5kdjT4Id4/NR9N3i4IAPBftbWGvllao63ZdYppYdE1V4b5VYEFeMvIzHa6Z2yGgoIseuXjrfp0\n5V5WHgRw3iiyACDAVFa69cXX1dqf51KrlkG6anSY7FG8HAAnZaQm6Le39FN8dKg+XLZbf/98u2rr\n3GbHAuBHeFUFgABSUOjSJ184VVRsKK2TVVdcFqpQH16iHTBL28QozZiSqQ6torVyyxH9ac56lVXW\nmB0LgJ+gyAKAAJG7p05ffO1UZdWJFQQHDQhhBUHgJ7SICtX0SX2U2TVROXnH9eRbWTpcVGF2LAB+\ngCILAJo5wzC0dn2Nli6vUVCQNOrSUFYQBBooJNiqu8Z019WXpCj/WJWeeGutNuwqNDsWAB/HbnsA\n0IzV1BhauqJGB/JcirZbNHJEqGJaBNbnaxe6iiarEyLIYtENQ1PVOj5Sb87P1osfbNJ1Qzvq6oEp\nfFgB4IwosgCgmSotc2vhYqeOHTfUumWQRgwNVWgobwiBxhrQvaVaxUfqxXmb9OGy3TpwtExTr0pX\nWAhvpwCcKrA+zgSAAJF3yKVPv6jWseOGunW16fLLKLAAT0hpadejP++vtLYttHZHgZ6alaWCY1Vm\nxwLgYyiyAKAZMQxDGzbV6utFTtXWSYMHhGhAfxa4ADwpOjJE/zuxj0b0aaO8ggr94f/WaNveYrNj\nAfAhFFkA0Ew4awwtXOzUuo21ioy06KorQpXWmTYmwBts1iBNvqKLfj66i6prXPrTuxv0+Xd75Wbj\nYgDiO1kA0CwUl7i1aKlTZWUnvn81fEiowsKYvQK8bVjvNmrjiNLMj7Zo7tLd2pV3XL+4ppsiw4LN\njgbARMxkAYCfy91dp0/nV6uszFBGjxPfv6LAAppOpzYt9Lvb+qtb+1htzC3S799co71HSs2OBcBE\njZ7Juv766xUVFSVJatu2rZ5++un6+9577z3NmTNHNptNd999t0aMGHHhSQEAp6irM7Q6q1bZOXUK\nDpaGDw5RSjINCoAZoiNCdP/43vpkxR59umKvnpqVpUmj0jSsV2uWeQcCUKNejZ1OpwzD0KxZs350\nX0FBgWbNmqW5c+fK6XRq0qRJGjRokEJCQi44LADghGPH3Vq8zKmSY4ZiYyy6dFioWkTTnACYKSjI\nouuGdFRqmxZ67ZOteuvLHdqVd1yTL++i0BCr2fEANKFGvSJnZ2erqqpKU6dO1ZQpU7Rhw4b6+zZt\n2qQ+ffooJCREdrtdycnJys7O9lhgAAhkhmEoZ1edPvm8WiXHDHVNs+maK8MosAAf0rNjvH53W391\naGXXyi1H9Nj/rdG+I2VmxwLQhBo1kxUWFqbbb79d48aN0969e3XHHXfoyy+/lM1mU3l5uex2e/2x\nkZGRKi8vP+dzxsZGyGbjUx5f5HDYz30Q/JK9NKzpz2lv+nM2FzU1hr5ZWqEdO2sUEmLRz0ZGqnNq\nYHcJNMV42li64dwHncXI1CEeTAJv8+TrncNh15/uHaa3vtiuj5bm6slZa/Xzq7rp2iGpbKkQIHj/\nFNgaVWR16NBBKSkpslgs6tChg2JiYlRQUKBWrVopKipKFRUV9cdWVFScUnSdTUlJZWOiwMscDrsK\nCvj0rbkqK6tu0vPZ7WFNfs7morDIrSXfOlVaZsiREKThg0Nkt7sD+t/TH8YT10//4a3Xu2sHpqhD\nUpT+/tk2/f2TrVq15bBuv6qbWkQG9gckzR3vn5qPxhbLjeov+eCDD/TMM89Iko4ePar/z959x0dV\n5/sff51p6ZVMQkgBAiS00AJIlbYU24oiCrisu7jIuqxe3V2vV6+6Rdct/q6uZVfXvesWLyogil0E\npNgA6SQCgdBDICG9Z8r5/RFAUaSETGaSvJ+PR5hyzsx8IF/Omff5fs/3VFVV4XQ6AejXrx+bNm2i\nvr6eyspK8vLySE9Pb1JxIiLtnddrsm2Hi7ffr6Oi0iSzj42rJgcREaHhgSKtRWZaB35962X0TYsl\ne18Jv/z7enbsK/Z3WSLiQ4ZpXvxV8xoaGrjvvvs4evQohmHwi1/8gm3btpGamsqECRNYtGgRCxcu\nxDRN5s2bx+TJk8/7nkr7gUlHYtq2j/PXtejntYaeh0BSUeFl7acNFBZ5CQkxGD3CQXInDas+pTW0\np1FJw/xdglygltjfeU2TFZ8fZvHqPDxek+9kJTNtbDeC7Pp/3dbo+1Pb0dSerCaFLF9QQwxM2kgE\nvpYOSpeiNXwpDgSmabJ7j5sNG124PdC1i5URQx0EBek8jq9qDe1JIav1aMn93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333wzt956K/fffz/BwcG++jgRERE5i1c+3MuRoirGDkxiaK8Ef5cjzSQmIoi51/TG7TF5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\niFAHt17dmxGZifx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ORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118c9ea20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import stats\n",
    "import seaborn as sns\n",
    "varnames = means.keys()\n",
    "fig, axs = plt.subplots(nrows=len(varnames), figsize=(12, 18))\n",
    "for var, ax in zip(varnames, axs):\n",
    "    mu_arr = means[var]\n",
    "    sigma_arr = sds[var]\n",
    "    ax.set_title(var)\n",
    "    for i, (mu, sigma) in enumerate(zip(mu_arr.flatten(), sigma_arr.flatten())):\n",
    "        sd3 = (-4*sigma + mu, 4*sigma + mu)\n",
    "        x = np.linspace(sd3[0], sd3[1], 300)\n",
    "        y = stats.norm(mu, sigma).pdf(x)\n",
    "        ax.plot(x, y)\n",
    "        if hierarchical_trace[var].ndim > 1:\n",
    "            t = hierarchical_trace[var][i]\n",
    "        else:\n",
    "            t = hierarchical_trace[var]\n",
    "        sns.distplot(t, kde=False, norm_hist=True, ax=ax)\n",
    "fig.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  },
  "latex_envs": {
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 0
  },
  "nav_menu": {},
  "toc": {
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
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