{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rolling Regression\n",
    "Author: Thomas Wiecki\n",
    "\n",
    "* [Pairs trading](https://www.quantopian.com/posts/pairs-trading-algorithm-1) is a famous technique in algorithmic trading that plays two stocks against each other.\n",
    "* For this to work, stocks must be correlated (cointegrated).\n",
    "* One common example is the price of gold (GLD) and the price of gold mining operations (GFI)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import pymc3 as pm\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets load the prices of GFI and GLD."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GFI</th>\n",
       "      <th>GLD</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-04</th>\n",
       "      <td>13.55</td>\n",
       "      <td>109.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>13.51</td>\n",
       "      <td>109.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>13.70</td>\n",
       "      <td>110.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>13.63</td>\n",
       "      <td>111.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>13.72</td>\n",
       "      <td>111.52</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              GFI     GLD\n",
       "Date                     \n",
       "2010-01-04  13.55  109.82\n",
       "2010-01-05  13.51  109.88\n",
       "2010-01-06  13.70  110.71\n",
       "2010-01-07  13.63  111.07\n",
       "2010-01-08  13.72  111.52"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# from pandas_datareader import data\n",
    "# prices = data.GoogleDailyReader(symbols=['GLD', 'GFI'], end='2014-8-1').read().loc['Open', :, :]\n",
    "\n",
    "prices = pd.read_csv(pm.get_data('stock_prices.csv')).dropna()\n",
    "prices['Date'] = pd.DatetimeIndex(prices['Date'])\n",
    "prices = prices.set_index('Date')\n",
    "prices_zscored = (prices - prices.mean()) / prices.std()\n",
    "prices.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting the prices over time suggests a strong correlation. However, the correlation seems to change over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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XasHJVlGuJYVCoTjBcTglcz8p4K2lZdjskmFdQ/jvTV3o2zGEu6cn4gQ+WlFJaa2dijoH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\n/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vgv63j6/Rq6tDdYXW5iOnJQhzYGH91fzOC+TQcRaH4nYrWWsoiI+LCFmBeVUm85zatF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\n1v8D59p4XqaEKlQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fabfbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 6))\n",
    "ax = fig.add_subplot(111, xlabel='Price GFI in \\$', ylabel='Price GLD in \\$')\n",
    "colors = np.linspace(0.1, 1, len(prices))\n",
    "mymap = plt.get_cmap(\"winter\")\n",
    "sc = ax.scatter(prices.GFI, prices.GLD, c=colors, cmap=mymap, lw=0)\n",
    "cb = plt.colorbar(sc)\n",
    "cb.ax.set_yticklabels([str(p.date()) for p in prices[::len(prices)//10].index]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A naive approach would be to estimate a linear model and ignore the time domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "100%|██████████| 3000/3000 [00:11<00:00, 271.45it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_reg:\n",
    "    pm.glm.GLM.from_formula('GLD ~ GFI', prices)\n",
    "    trace_reg = pm.sample(2000, tune=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The posterior predictive plot shows how bad the fit is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UUiuUUr2UUrFKqb5KqQ0O/Z9XSrVTSnVSSv1Yz7XrfwIajcYJ/X91YZKZb+NP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PF4nPnz51NRUQGkIjXV1dXY7XbOOOMMent7SSaTRKNRCgsLWb16NRZLqqZFURTmz5+Pw3H4OUHX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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11454deb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 6))\n",
    "ax = fig.add_subplot(111, xlabel='Price GFI in \\$', ylabel='Price GLD in \\$', \n",
    "            title='Posterior predictive regression lines')\n",
    "sc = ax.scatter(prices.GFI, prices.GLD, c=colors, cmap=mymap, lw=0)\n",
    "pm.plot_posterior_predictive_glm(trace_reg[100:], samples=100, \n",
    "                              label='posterior predictive regression lines',\n",
    "                              lm=lambda x, sample: sample['Intercept'] + sample['GFI'] * x,\n",
    "                              eval=np.linspace(prices.GFI.min(), prices.GFI.max(), 100))\n",
    "cb = plt.colorbar(sc)\n",
    "cb.ax.set_yticklabels([str(p.date()) for p in prices[::len(prices)//10].index]);\n",
    "ax.legend(loc=0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rolling regression\n",
    "\n",
    "Next, we will build an improved model that will allow for changes in the regression coefficients over time. Specifically, we will assume that intercept and slope follow a random-walk through time. That idea is similar to the [stochastic volatility model](stochastic_volatility.ipynb).\n",
    "\n",
    "$$ \\alpha_t \\sim \\mathcal{N}(\\alpha_{t-1}, \\sigma_\\alpha^2) $$\n",
    "$$ \\beta_t \\sim \\mathcal{N}(\\beta_{t-1}, \\sigma_\\beta^2) $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, lets define the hyper-priors for $\\sigma_\\alpha^2$ and $\\sigma_\\beta^2$. This parameter can be interpreted as the volatility in the regression coefficients."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model_randomwalk = pm.Model()\n",
    "with model_randomwalk:\n",
    "    # std of random walk\n",
    "    sigma_alpha = pm.Exponential('sigma_alpha', 50.)\n",
    "    sigma_beta = pm.Exponential('sigma_beta', 50.)\n",
    "    \n",
    "    alpha = pm.GaussianRandomWalk('alpha', sd=sigma_alpha, \n",
    "                                  shape=len(prices))\n",
    "    beta = pm.GaussianRandomWalk('beta', sd=sigma_beta, \n",
    "                                 shape=len(prices))       "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perform the regression given coefficients and data and link to the data via the likelihood."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with model_randomwalk:\n",
    "    # Define regression\n",
    "    regression = alpha + beta * prices_zscored.GFI\n",
    "    \n",
    "    # Assume prices are Normally distributed, the mean comes from the regression.\n",
    "    sd = pm.HalfNormal('sd', sd=.1)\n",
    "    likelihood = pm.Normal('y', \n",
    "                           mu=regression, \n",
    "                           sd=sd, \n",
    "                           observed=prices_zscored.GLD)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Inference. Despite this being quite a complex model, NUTS handles it wells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      " 99%|█████████▊| 2468/2500 [20:53<00:11,  2.72it/s]/Users/twiecki/working/projects/pymc/pymc3/step_methods/hmc/nuts.py:459: UserWarning: Chain 2 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n",
      "/Users/twiecki/working/projects/pymc/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 2 does not match the target. It is 0.767971222546, but should be close to 0.9. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "100%|█████████▉| 2489/2500 [21:00<00:03,  3.32it/s]/Users/twiecki/working/projects/pymc/pymc3/step_methods/hmc/nuts.py:459: UserWarning: Chain 3 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n",
      "100%|█████████▉| 2492/2500 [21:01<00:02,  3.15it/s]/Users/twiecki/working/projects/pymc/pymc3/step_methods/hmc/nuts.py:459: UserWarning: Chain 1 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n",
      "/Users/twiecki/working/projects/pymc/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 1 does not match the target. It is 0.493519646751, but should be close to 0.9. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "100%|██████████| 2500/2500 [21:03<00:00,  3.74it/s]/Users/twiecki/working/projects/pymc/pymc3/step_methods/hmc/nuts.py:459: UserWarning: Chain 0 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n",
      "/Users/twiecki/working/projects/pymc/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.67337478281, but should be close to 0.9. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "\n"
     ]
    }
   ],
   "source": [
    "with model_randomwalk:\n",
    "    trace_rw = pm.sample(tune=2000, cores=4, samples=200, \n",
    "                         nuts_kwargs=dict(target_accept=.9))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Increasing the tree-depth does indeed help but it makes sampling very slow. The results look identical with this run, however."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysis of results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As can be seen below, $\\alpha$, the intercept, changes over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4pWkyycC3yUm+NgbYto2BceJOl3apAwPA8DCPl9rtV6+y8ExfH68lx9cItdAVRVGUxkKi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\nkgX+Dxdlo7nrqvBZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fdf36d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "ax = plt.subplot(111, xlabel='time', ylabel='alpha', title='Change of alpha over time.')\n",
    "ax.plot(trace_rw['alpha'].T, 'r', alpha=.05);\n",
    "ax.set_xticklabels([str(p.date()) for p in prices[::len(prices)//5].index]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As does the slope."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1VUmZxFYlavU6hXVpyVqulssU+EeP+Nj3vc/i5Uq0k6tdrnK1YZU1L2HXZLT9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\nLJ0qu/cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12087ca58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "ax = fig.add_subplot(111, xlabel='time', ylabel='beta', title='Change of beta over time')\n",
    "ax.plot(trace_rw['beta'].T, 'b', alpha=.05);\n",
    "ax.set_xticklabels([str(p.date()) for p in prices[::len(prices)//5].index]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The posterior predictive plot shows that we capture the change in regression over time much better. Note that we should have used returns instead of prices. The model would still work the same, but the visualisations would not be quite as clear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tOmozjrslvANPiylgMpaiYz1uAQ3LjGlMzPop21XPgIqxNQzqASerFUauAlV0\nMdLHjg3f4RDHWWIwrJGlZQp3GMzpVqr67TdF+BcKhSuGC2n7PZ5oAUdNQ4Nzyiv892fok4Ri8glw\nGMJo6Tkbt5gQOGIDHBAA+ciMwCROOevTuv5ANY93ywSDmXoG1BxlGVVJy58pUssxNGgDbClNLoYm\nqt4462Y4OZZCg1UVa9WIY9UYVNFHD7HjXN/h5VljiXFT48ylyDnLSxiqDvYlXCxF+O8rRfgXCoXL\nnt3avpE9+S3iFUiR+KKhTsV63P0x+z5PEGRGyGl5a1IhnU2bcoYpAxxHbZgWC6LRmWczTNkKU9bp\nGFjDmkYMqJnSEeU4whDJ6NXlPPywoiFEcYotKoscsWWcd2zJ45wYRUesKlbcmKPVmMoNCLHHrGOz\nb5laz6qNWR0sY9EBOYIhpnunqpLV4jBwSIZ5WCnCv1AoXNbs1vbvL8ST/o474XtJ6CeRmWL2jWTe\nT5pzNvFjzOg4a9u09ByzJWJuH2NgYp7NfsoGLcEiRzVMpXQlpngaYKQBXqJ3LcKlKnwhcEqbVBGO\naRnz0BKYuhnj4FA1YKle4mSzguTw0WOxY9p3rNuMlTjkmsERRE20lJSIGBEV5oQM2r4lACcP8oUU\nLgmK8C8UCpclc21flkLzDMuFeHyqroflZD01lVzKkY9y5T3bMfEHCwiocKmqnk3YpGeJhmM2psWj\nIFoi62GLzTBlZpGhak64ZTzGxDoGiCMsEV2aPCBo1OCCZ4MtuggrjFmiYbtv2XQtR2LNsg0Z1A0n\n6mUGrsZbpI6i8z0bsWMUGq4erDBshvTmMUtLB8GAyiEzLETWgycQGeiQmNOL2X9fKcK/UChcdvgY\nsze+IBfiiaTQuZAr8NU5Ha9zbsGhz++Y+GMk5/JLJv4k9NsUihcHBIk2BrwFtsKUs2HChMCQimNu\nSGMVW3Q4HEc0BudpmRFdRa2aOkbaEJgSqQIcd2P6vue0m9Go5ggjqrriRLXEsmsIghhFjJF7wgb4\nwMlmmaVmRGs9fQxUrsIM+hionYNgbIWOzgKVRairHYfGS55i9t9XDlz4S6qA9wAfN7PnHvR4CoXC\n4WVR23cupdxNDn2eLot9R8WAGudS6J5D9BbwBGQChOViPXMT/zmb0OE5aiMCosNDCGxYx8z3nLVt\ngsGakteAx9hWz5gaYUQXMefoCRxRQxsip2lpIqwxJgbPhrXIiREN5hwn6xWWNSA6EaLwoeOsb/HR\n8zi3wnC5jOVFAAAgAElEQVTUpNwAFnCWygz3wVPJUSM2+hm9BZxFzIm2ihzXiCP10kG/pgen5Pbf\ndw5c+AMvAz4ErB70QAqFwuHlfNp+cuiznK6HrO3vzsefwupSWt6Y4/kregIbts02PUNqjtqYKT0K\njo7IqX6dLWsJZgxVc9KN8MDEOmoLHNEy5hwdLXKBhophHHKGLXyMrDKi9mLqPMFFRjiCHKtuxNFq\nhLkKi0AInOtnzBRYtRHLw2Vqq+nNo+hwEoGQJjWuZhJSWKEjYoK+MtY0YllDWgucC1NWOQQTgMK+\ncqDCX9L1wFcCPwG8/CDHUigUDic7nvwL2n4k0pnHE8CSJ/+QGuXwPQBvyRHQctg+liwBYGzbjHNM\nEbBkDYbwMVkQNsOU9TBlYqlE7jE3JJixRYvDWNUylYNNtonOsawhTYANZrQxMLIBx21ER2CjnjH2\nDtViwICT9QrOVVg0LHo2+44ta1mKI64froA5AoEQIwJMhmXfhDZ4JnGWMg7K6BysasiqGzONHRu0\nVEBlpbBP4eA1//8T+BfAkQMeR6FQOITMtf0Kt6Ptp5j9tLafwvcqnESlJPTmVfrMLCfsSXn7ATp6\n1m1KT2CFAX20tFgQezasZdp7zrBJZQ3H3ZDKKrZoGahhhTGBDu961tWxpCFjVWyHjtPWMQiOE6zQ\nWc8Zt00TYOhqBvWA49USw2qQPfiNtu84Y1OWwoBrh2vJgx8jWoCQawVWDmdi6ns245RG6Rm0LjJS\nw+O0REdg3abp7oLnjHXMmHEdJw7qlV08xey/rxyY8Jf0XOBeM7tV0jMu0O5bgW8FeOITn/gYja5Q\nKFzK7Nb2MZJDnwVaeiB55w+o0E74Xop5t7m2TyrGo+zhv2FTJnQsM2QQK1oFnMHMPKf7TbZtijdY\n0oAVDdO6PoEGMcThXcQ7ES1wQsvMoudeJlTROBqHuCi265YYjKEcgzoV3hmqBpfqA/jgORdaqiCu\nHqwwqod4RSwmJ0SicHWNi0YbPBthSiXHUI6pCyxpyOM0piOwSQsWsRg4Zz1n2ORsbPEEnn6gb+8i\nKZr/vnKQmv8XAV8t6TnACFiV9Otm9sLFRmb2WuC1ADfffHP5ORQKVzDzsrtmljR5pX0+F+Jpc2Gc\nATWNq7OBX/jsxb+TldfYcejbthnrzABYsZQX3xmE6PmE32AjdkQzxmo46hqCGTP1QGBZSzjn2GSL\nWo4VRkQzTts2fYysxAHj2NDVgRmeyothM2aVhnE1wLmKKjpmfsZZ3+OD53izzHI9YmodvQVqRDAR\nXGRQOdq+YzO2gGOgim3nWWLA47WESWzRIYwQIhs25RzbnIst52gZUvF4DkNhn5Led785MOFvZj8I\n/CBA1vy/b7fgLxQKhTmL2v48VD1i9AQ6egJGQ0VDRZW1fW/J+A/kdXLh5lX56JlYz5SOoVW5qp7h\nYuSszTjbT2jpMRzH3RCztG4/0oAhQ4JappoiV7PCCBdhw1pmsWcQa662I8zk2aqSJl9XDavVgNUq\nTRgUwULkVD+hjR0ntcLyaBVvKeTQRSEneos0riL6wKk4JZgxMMe08VQMOMmYQTWgtVSMKAZj3Sac\ntk3WrWOdjiGO61hh7FIIYaFw0Gv+hUKhcEEeoO27nKc+V9brCfi0Gr6j7Vfz9Xvz2cSfnABTnn7h\nCWxZS4unwbEUm2QxiGLbZpzyW/TWEw3GahiSYuN7RYZUNBjRBWbOGFrDkho2fZu8/KPjuI0JGJtV\nSx1Tyd/lasTRegnnKmpzEI2z/ZRp6FnVmJODMRUNrXmqKCRhybCBorEekh9CFcHXhpdxnDHDasDU\neqbWIROnwxZnbcI5m3GOlhVqrrNlVlxDRU2rni0LB/g2LxKjmP33mUvC7dPM3lli/AuFwm5CjPQW\nwAxpPhGIdBaYpVI81NSMNWTg6pSP30IS/LktZlSWdP6JtZyxbWb0DEyEmLTsEDyf8Ovc2Z9lFjsa\nao65MY0qWnk8PRWOkRszy0V41hhTmfh4v8k09ByNI47FEX0FXpEKY+gGXFuf4GRzhJqKJjq2fc/H\nu3VigOuHa6w2I6LSvVZR91u7Q2TTt6yHlhg85gzfGEc14oRbAVcxsx6Lxr3+HLf5u7k9nuWjtk5H\n4Hpb4XqtslaN6V1kmw7zsEJzoO/0oplX9nu4nwsg6QmS3iHpg5I+IOllef9xSW+TdFv++1jefyK3\n35L0c7v6+n1Jf5H7eU3OXXO+a36OpPdL+rCkn5WS/UrSt+f975X0LklP3uP8l+fxvk/S2yXdsGsM\n5yT9p4t9vJeE8C8UCoVFzIw+pjS7aW0/rc935mnpaUlr+AMcjUupec0s1bEnEmIkAo0lQTezlnWb\nskmHLDKISZu3GDnrt/lYd5ZTYYMKx/FqmREVyejvaRgyVE3nOrZdy4pGLDPgdNjiVJiyFgacjMsE\nZ5xzM2SRcTXipFvlZL2ScguYo/MdH+/OMu06rq1XuWqwQsCIBi6kWH1c0vQnvmc9tvjYERXoBsYR\nDTjhlneSBfXRc48/y9+GT3B7PMfHbJMWz3W2xBO1ymo1ppVn2zoqX3NEA45qzDTMDvTdXjT2CD8X\nxgPfa2ZPBp4OfGcWuj8AvN3MbgLenr8DzIAfAb7vPH29wMw+G3gKcBXwdXtc8xeAbwFuyp9n5/2/\naWafaWZPBX4KePUe5/934GYz+yzgjbntnJ8GvunCt/xAitm/UChcUoSYBPg8Wc/c7O8JtHSAaGho\nXIrYF9qpvIeRq/cZMocnsGnJRuAQTYQeYdEzsY5P9Bv09AjHmpaocEytzz4FjgYRXM/MGUs2oI6w\nbh3bsWU1DriKMRPXsaWWKjpW3BJrbsjQ1dRqcCZmoeVMmKHgONkss1yP6eQJ0ZKHv3maqqIOxmbX\n0dFTIXCRXnCEhpEbEmR0MdBbYCNuccq2OWMtW3iWcFxny6xWI4RjSks0zzgOqSujUcOZfsosTlhi\ncLAv+GLZR4c/M7sbuDtvb0r6EHAd8DzgGbnZ64B3At9vZtvAuyQ96Tx9beTNGhhwnqmHpGuAVTN7\nd/7+euD5wJsXzgdYPt/5+TrvWPj6buCFC8fefqGoufNRhH+hULgkiDGmPHwGTiJJYKO1Pjv2GRUV\nNaJ2aQU/WnICnFfqc5bK7RrGzFo26TCMoVX0FlNkQOy4L2yzHdOxJQaMXE1HZIYHIkMGmGCijiEV\nqwyYxsh9cZtRFFezhJxjop7eAgMGrFQNq9WY2g2wGLEQOO1ntKHnZL3M0mBIcNDHCD5iEs5VDICp\n79mKMxqEq6AlskTNcTdOkx7rs/f+hPtsi3PWskXPCMcNtsJS1SAcLT3BYBSHjKqU8ne9b9mOU2pq\nlqwixgN+0Y8dJyW9Z+H7a3P02AOQdCPwNOBPgKvzxADgE8DVF3MhSW8BPg94M0kr3811wJ0L3+/M\n++bnfycp0d0A+NKLuORL87UeNkX4FwqFA2dedjdp+ylWHkRHoM8m/iEDalcx1we9RcxiqlcvUVsq\nzjOzlll2BJTNLQBGjJ5TfptzYYanY6whYzV4M6ZpCsGAIVJkS1OGNJxwK8xCz53dBrXB1VphpIZz\nTDF5BlQc0Zij9RID16CYrnOmm+BD5Gg15KpmmehEawHXGXKpxG4jsR1atmLLQI7KwUyRMTUnNcRc\nmviEGDgbt7nPtlm3li3rGaniRjvC0NXgXEo7bGJkIxpFatWc6ae01iNqlmPFuRhYt57hQb7oh8Ij\nd/g7ZWY3X6iBpBXgd4DvMbMNLVQ8NDOTdFGjMLOvkDQCfoMkvN/2UAZqZj8P/LykbwR+GHjxBcb8\nQuBm4EseyjV2U4R/oVA4MB5QiEfZzL8QvmdUNNTUufoeOVFPJHn/ewIOkDkCMKGnpU2V+CwSzXDm\n2fItd4dNgnkkcZQVJNHS41QhHA3Qu47gYM1WUPR83K/jg3EVy4yomanjnHocjpENOVavMHYN0QIx\netoQWe+nLJEy84V8L3Ugjb+x5LFvkft8yrzXONEqMKLmhMbgIsEC3gfO2DanbcJZmzI1z0AVN3KE\nkWqCgykBEViOY2oZDsdGaJnGKY6Kcaw4EyLr1mP0SAO8HQI3+segsI+khiT4f8PMfjfvvkfSNWZ2\ndzbV33ux/ZnZTNKbgOdJ+q/ArfnQLaT1/usXml8PfPw83fxWbouknyClvyf7AyDpWcArgC8xs/Zi\nx3Y+ivAvFAoHgo9JyKXUvMJIwrolVdgDGOGoXA05QU8ga/uklLwDa/AEptYyoQMcjVW05sFEF3vu\n9ZtMYs9QFQM1NDgkR0eqb+8A7wCJoTmWo3EuTpjEyKpVHGPMVD3rbkYTHWMNWa3GDFRR48Bg5nvO\n+AlLNuTa4RqOik4BF1JeAe8iQxyd95yJHcECg6pObXAcZYm6cphFet9zyrY4x5RPxE2iQaOKGzjC\nUDXeGVNLk57VuISU6hesx45Z9FRWMTDHejDWraWjw2lEDMaWTVhz4wN75w+JfZyjZE/7XwI+ZGaL\nDna3kLTuV+W/3/Qg/awAR/JkoSYJ6z80swA8dVfbDUlPJy0vvAj4v/L+m8zsttzsK4HbAMzsFSRB\nPz//acAvAs82s4uelOxFEf6FQuExZa7tY/fn248YvXlmdETEmAFNNvHP0/LONfmoSG0iEpiZZ0bM\nDn0Oi9ATsRi512+xETuMnqEaBqoRIuCZMaWmoVFNJ09lcERDtmLg3tgyssg1LNNUAzatIygytpqV\neswRN6RRDSa2/YztuEUVKh4/OMJQQ7wCIcRUDIhILUcMxqm4jeWqgbE2eiIrDKmcQzg633PKNjlj\nE+6xTczEQA2PY8hINVNnTCxQGayxhCxFNWzQ00aPM8fQHBvBCNbR0iIG+BCZsc2yG/GkeoljOgwZ\n/vadLyJ5x79f0nvzvh8iCf03SHop8DHgBfMTJN1Oqj47kPR84MuB08Atkoak6Ll3AK/Z45rfAfwq\nMCat18/X7L8ra/Q9cJa9Tf4/DawAv52XJ/7OzL46j+0Pgb8PrEi6E3ipmb3lQg+gCP9CofCYMdf2\nHSmRDcxT80Y60jr/Mk0WiKkIT6q8l4RlhaitImDM6JkyS+lvY1oKqAw2/IR7/BZBgYqaVS0jM2bW\n4VTjMQaIziUv/xUGzIh8pN9kYJHrWGOoAetuxoTt5BtQLbGqAZWrceaYhBlbviME4+RgiZFrUulg\nM1xMQr9CWISNOKW3gMwIlYGrOcIYJ5AqutBxNpv377NtAjCg4QQDxmqYZaHfUHGEMRLM+sCUnkns\naZRTBEexFVs6PJ2JEHtADDTk0+oRDQ0TUsKgQ8H+evu/C9jrAs/c45wb92j/uRd5zfeQwgF373/Z\nRZ7/rAsc++KL6WORIvwLhcK+s1vbt6zJe0LW9pND38ANgazlM6+8lyzAtbkk9G1GlzwFqCyF5jlz\ndKHnlN9O3wUjGkakfCsTRTxGRYtcRQesMsYsclfYpjLjOpZZckOmajnLFrVVLFcrrLoRS26ATITg\nORMmdH3gxGCJcTWgV8BjKBgeT+NSMp/N2NKZp4pgdQRVrFBTSThX0/qWc7bJfbbNadvCmzHWgMfb\nkKGraB1MLDJSzREbEi0y8R0zPL1FKnO4KHrENKRn0pojxG3EiBW3wuOrIaKixZgFj4ioPixJfg56\nAJc3RfgXCoV9xccUigeGU8qr70mTgY605r1MnR362DHxBzNMKTufQc7ql9bp5w5hLT0xRk75Lc6G\nGY0iQ9U0SqFvgZ4t5kVwRFTFkAZZ4FTcpo3GMQYc1QjvIuc0QUEsuxFrzZhljVOp4Nhz1s/o+sBq\nNeRxgxWCg2DgesO7SKOGyqdKezPzDFURnMeqmmUGaanAVbR+xkbY5i7b4JzNiKRQwZPWMHI13okt\nCyxrwLINsQgT37MZ2xz96DBvdHJMY5sWMQyIUyJDjro1TlZDaio28VQhptgHlxIl6VDE+pXCPvtN\nEf6FQmFfeKAnv8thefPqe6kIzYgBA5f+GwoWcsa7bMLHgaWJQmuejj75AFjyD3BRrIdt7gnbOIyR\nKgYagUV8KtFDj2hweCUHwSVzbMSOs+Y5ao7Hs4Kc2FBPtMgSA1abEcsaIUEfO3wwtn1HjePaJrXv\nMNRFohODuqGJgc0wpSPiiFgV6eSS74JqnKuZ+ikbYcpdcYsNZvn+G5bigOVqwKyGiQWOaMQxG2HR\nmPrARmxxpBLFvg8EHNs2obeWqYGL2zhWWKvWOKYGVDMxTxOT42R0AajSMkSOSrjkKbn9950i/AuF\nwqPOoravnJrXE3PCXKOmYqxmJ4NfBGL25geo8nZn83p9aXIQ59n+Qs8n/AYtMKbG5cI+BnRyOQ+g\nR3JEiSNW01rgjjhhYJGbdJSqathkhsmoAyw3yxzXEpVz9METApzpNhkz4qrhSi4KFFEXUFND7Wgi\nbPYTWgzRE51AFSMcYw3AVXR+yrmwxd1xgw1aKmBEzUpsqOXwtZhYZE0jxrGCAFuhZ9s6nIGLEKMx\nA2Y2Y2LbBCrqOKVhiaP1UdaoiaqTb0DwyRlSkYGGeAs4a2ljxUb0jPdc6i5cSRThXygUHjViLsTj\ncDjN4/Jj1vZTlb0RDQPXYJDN+yF78ZOS/ACt9bSEnfNbS5X7fN+zHjvW4xSnwJiaSo6KhkjkHFOS\nk1typluyhs48d/gJQ4wnsMpYNTMXOMMmw+A4MljmaDWidhXEiu1+xjR01KHiZLPCSCm1rnwERKwd\nw5ic8NZjj7eOuqowVVQYKxqgqmLWTzkXWu6OG2wyo0KMcRyJA5wTsa7oCBzRkOVYQ4CN2DIJfSq6\nEtLEaIqjtS02DaCiiR3SMseaY6yaw6tmEj3E/5+9twu1bdvyu36t9z6+5sdaa+99zr116tatVFHR\nJx8iSR5EBEERRCQ+aBL8SiA+BR8EISkUJaBCFBUj9VREKBURNYomoILEiASikBSCYIIJesu693zs\nj/U55xxj9N5baz70uU+de6tO1amU23P3vfMHi732XGPMOdZcg9l6a721/z+j4rhARwIixRZWhdmb\nRmJH4lo2X8u98dvmUvZ/p1yC/4ULF/4/oXXyt1G2NqAH1fWc7Rs9Hb1ERPi8oU/NWmCFc7keircm\nwEQ8B/6mg3+oC5/pE53AIB1d6BAPFFZmMhWhJ2AhIA6DC691ZnblG4x8I+44+MobOTFo5CZtuOoH\ntnFCPHKoJxY9kavyvBvZhBGLoGqggSrGYLC689JOuCsxJpwmTrSTvgkHaeZeVz62B55oJfsdia33\nVDE8JSrKXiIb3VDdePKVQy1EEdD2HhQSxU48uqISGS0TwsBV95y9R5TAoxd6q2gAESd5EzdeLJMN\nVj97GhDZykAMxpDeEz+3S9n/nXIJ/hcuXPgd8TbbF35tbr96pbqxnK1wN3TEEHGnifV4O8cFogtK\na+jTc+Hf3Jk9Yw6LLryuRzKwlQ6lCeaICwcKpdUE6CU1NUAXHjXz2pUP6PnpsMeAVxxxMzZp4Fm/\nZS8TRZS1rjxqRis860emfqBKpbrTtIKcaG1075WdwIwUE7NUOhH29AQJrLZy74VPzkE/IuxJbBma\nTO+5oXErgSvdsrpyZwuLFhxBDIq3jv3qKw9+QCQRvDDKwFU3svEOc+fRld6UlCLFjOgQJVCtMJtw\nsnKuAHTcSA+hElLCcFTy13Wr/Pa4ZP7vlEvwv3Dhwt8Wb932zP2c7YNjZG+NZhltJX6JuLSAzznw\nmzQ3PnFYPFPfnu3GyWtrTFPjTheePBOobOkBYZSBjPKGJ/qz0U+Ujg2Jp7pywBlxfk6u6ELiURbU\nKiM9z/s9W+nx4BRdOWhlzZVN13PVT3hossFSBRMlEMGEe59xNRDQ5CSB3bmZr1rhM3viUztwZD3P\n43eMHpv1bnCidFyFyM521Oq89pmihcWhPwd988jqM3fWJIcHd4L07FOzEM4Os5VmbJQis1YmbVsc\nxSrZAgfPODCFgREhRm/VC48ImVgii7wnmf+Fd8ol+F+4cOG3jZpRXREgSAQEdWXxQqaSiJ+Xwc2b\nNG81Q6XJ6bo7ilPP/QCOo+YsrJjCopVX+ohJ2y4Y4khviYXMPScWYKIjSSQAqpVPvBJRflqu2ISB\nA5l7DozW8SJdcS1NTW/VQinGKWcG6fjJ/hoTbxJD2SjB6EIiaODgTaDH3KATIq2Zr5OIeuUzfeIT\ne+RAMwLaWXc2CypoDCQCz0PPZCOugTd2JGtmcaF3EFOyJ578yIM5UNmTCGHDKMLOU+vut0xACLGp\nGEY1tiSyFRZzFi/IeWHUgj7MAmNIiBi+KiuBaivTWfvgh55L2f+dcgn+Fy5c+Mq4+9lNr43OtWy9\nKfQtTViXDT1dSK2J72yjW9xwcYILjrB6/rzEX6yiOOpwKAuPOrMKjBKBwEDCzbljIaMYlUl6EoKb\ncmfNwe8jNjyPGw5eeMkTiY7nccszGelDTz5n+Sdd6KznRb+hI1LECaUtTPrYE2vlyefWcOiGJSFJ\nYCASJVK98koPfNceWMh0RK5sbFUAMjU4HQPXoWNjA6aBl3pktUJ1p3MBc4rDrT1yJOG+cMOIxyuu\nEXoSSmTxAq4QAtEjwYxAZNbMYq0lUjEm6dhKokilhEgM0LtQ18p6VjfcNlcDsrwHc/7/Pxj7/Lhz\nCf4XLlz4Snwx2xcEkYB6k9ldz53kOxlwaR36ztuGPjt39jvFW56vAK6sbhQ3imaedOHBM0mUnkQk\n0IfI0Qv3nEgEBjqMxODCkylHL583850881pmMGcber4RrxhlwByeypG1VqIFrtLIEAdchJxXRBIx\ndsSycLCZlUoQp4qSRNhKAmmaA5/qI5/aUzsGuLaxyRBT0BDpmbgOkVEHsMBn9cRJW1beuyDWTIfe\n2AMzCbzwnIinZ+y9NeZVAotVTBSC0Hsi+nmhVJWjLwiJDOykow+CirOgdBLpPFBX5d4yuNNJoPfE\nEwuzlbOV0XvAJfN/p1yC/4ULF35T3J1iTXc/SsTP2X712nzkCWwZ6EJqqnzu39fF/7ZaoM23r5n4\nmLH4gpqzauW1nVoGSySGSO+JTOETnynAFQNCIHhFHT4js3fh5+SaTiL30jLhwSMfdjdchYnslfty\n+Lxxb596NnHCItQ1E9NASB2xGod6YpWKuFOiEXA20hGIOMrL+sBLP7JS6RA21sG50dBDZJINV5IY\nrEcs8FqPnLTiDj20EUJfeW1PZDqCV56TkHTD5MLgHSbCXAs1VIaYiC5Eb3oJRY3imQVa977APiRE\nAjOFjkhniaqFWy+YVwYSIsKtNb/D1QrRKh/2N1/fzfSVuSj8vWsuwf/ChQtfin4+t895gK/J7zZR\n2dL086XDpBn04EJ2/bzErzjFlXp23VtNWX0lm1KscKyZRYwE9BLovI3pveHIgtIDPT3ijljlXpzg\nxu+SPfs08dqPZJvZ+8RH3TOuZaKKsdjKU81oNfapZ9tNaFCqKV4DngJSm5bATAFTrBOwt/LACXfl\nU73jloWTZzaS2NtA9gwoIXZMPrAPHRufMDde65FjrThCdEc8cfSFl/oalZHOlef0xHTD4EJnkRVY\nXMnijCnReXvvshtigdUKB6/0EukE+hgxCVRrvRW9d1jN3FoFColEwbjTI09UOokMBptuz4hxLf3X\nd0Nd+KHhEvwvXLjw6zAzqrcsPUlrEDNXVs9n8R3hSkaCBKp7c6wzpX4h21+/UOI3V2bPVIfVjEOZ\nOVBAlJGeRCICj5K5YyagbH2ik0DVyuO5WP0RE1dpw4nKp/5AR+Kb3TOupSdKYDkvKLw6mzSw7Xtc\n2u/hNUBQkhmLCHeyULUiHXiARCCEhHrhY33kDQvZK6NEtj5gXim+ktLAaIlrOkYZqa58Uh5Z1Agi\nJAfxyKOt3NotWQZ2REaHlG7o3OkskcXPHQzKGHu27oiDecSs4gZ3nDCEMSSGAEUC2QpdGBk9seSV\n1xg9TueRkyhvdGbF6EzZxA3b0CHBGRB6Nojp13dj/Xa4lP3fKZfgf+HChe+jfmFvP/LWdtfJ5yx5\nQ08nsc2Mnz3l31Zo3Y161uOH1ozWSvyFbMpaFw6eyRgdkUhgkI6ZlU+ZicDkkUFGojuPtlKAF/R8\nGPYUqby0JwKR67ThhWzpJLa97KqcaqaXjl03tJ52EawGKpmeDjXhNSe0GhIdErgF+pBQCrd25GN7\nOjcuBpL3VFeqr6Q4srPIMwaGOLHqymf1kYManQQ6d7DIg828sVtUeiaEaxdi2iOq9BU0BGaUgDGE\nkcEF3AmeKJpRd46sAPTSMwaoEpgts2VAzDmWlQcJRAq9R46snM5/t4TxPG5xCeyi0DMRHNQqR11Y\nw3vysX8J/u+U9+QuuHDhwrvmrViP0wRjBMHdOPlCQYHAjUy4CHrO9ldvY3rBhXoe3atnYZ/qcPCF\nqpnVKkdtpj6GMYaO3gIqlU/PNjcbApFEMCNTWTC2kvhZuca88poT4OzDwPO4YyMj2Sp39UiulYmR\n5/2OoBAkoSWjoiTp6LzjVo+YGZYcSU70Dpc2hfDGHvnYDgjCgIDHFvRZSHHimfU8Y6RLE8UyH+c7\nFoUQAiMCKryyhVs7kGSkR3juEU97BhekgEokB2EQY5AedwVTnIioknHuvBBwUojsXDiIcXRj8okb\nSzxZ5sEzooUYAq9tRTEUiFYZZcsmRa7DQPJEdWO1TKmGthoMIu/BqN+l2/+dcwn+Fy5c+L5sP5yD\nvgLzWZp3pGOQjtoE53FzsrTysdFK/N4MY/Fz0D/oSpKeQ1HuORFpmvMTPcGFN7LywEJ0ZcOGZE7A\neUQZJPCz8oxOhEcys6zsGXge90zSoxj39UipSmeRmzjRh9YUaJbJrnTSI1q59wMVw8UIfaDziIkD\nxq2d+Owc9MezamB1xSkQB577yDUDXRpRq3y63nNUJ0lgAnJ1PrEn7m1hkJEbmdiSKGlkPFvvVhyN\nMElzNxQi1ZRIpFfnntKEjZgZQ0/vzgnngNHTkzTz6CuvbCWaoVFYURYrjChmgW3q2ccdk3T00rHk\nmTpqaYgAACAASURBVCNKdSfoDHFDH3u2KtzE90Xb/+u+gB9tLsH/woUfY76Y7Qfkc1GeTGGmkIhc\nydDGzNA2n34W6jFXsmvrCyBRqCy2UtxYrVLqwq0/ccTZEukJdNJxz4k3LIxENp4InkhuHGkjfj8p\nG/Zh5EDhNZmN9Hw7PGMfNqgbjzpTqoE512mkjx0qjpXWeZ+kx+rKI0eyaBuZS0KyeG5YNO7sxBs/\nocBEaNMIDpVMihPXJlz5SBcnTAufrfcctDUEbkNgUee7+sC9r/TS8Y0w0VmClHAThmLkABaUUTqG\nNhxJMWMgMqjwRObVWZFvGzoSiQXliLHznt6cO6vMnsFgloqKk1WJVulkILLhOgq7MOEeOeUDp6i4\nO9FWYjexjTcMWolpJKWAh/dk1O/CO+US/C9c+DHlrRGPIAQEQyluZAzF2Ekzy60Y5hV1wbDWic6v\n7e0HnGyZB1ayrVipLK48nWfhn4cNyYUTJz7myInKzkLTBLDKCacI3HjHh2HHKsZLTgx0fCtecxVG\ncDjqyqqKWyv99zERglByQWJHiAnPmSdZOFEAwwJ0Lm1ckcJdzTzITPW2zZCtYkQqSggDz7xj7wN9\nnMCUz9Z7HlUIVthJxxHhe+WeN74ySGxB35sOgBCgVIo0u9+BgLu0gUBP7AgkhSMrD74QJDBKIBLP\nRj6wJ1IMHk1Z9MRKodAWXslDkymWkcTITYxEGXCHp5Kbr4IDqoTQNQVEAl3sCLGjSx2DGFHfk5T6\nUvZ/p1yC/4ULP2Z8397+OdtvYj2VlUJPYi/duVPfMHOytEWCYixe26w/jnhg8YWjLrgkcnHuOAHC\nVkY6d4ovfI/MTCW5ce0DncPJ25bCnsgHck0XArc+4xg30kr8Ix2zVR7rjCiMdOy7CcdQax38IUYk\nF47BmGNG3LFoBBOiQEW518yTrKgY0QP92ZfAcSwkrj3yjA0x9ogar/Ijd2okq+yIrPT8ar3j1jNb\nifxU2OPmzUHQItSChwEPga10CE0zQGSis4oY3JE5+Ikoge1566IiuAijBVY1PvOVo61NKlmcnggY\nYs4gPZNMjBJIaaTWjFKbt4JXNPZI6NiaESWRuo4xBfoYqZo5WeaAs+E9CaqX4P9OuQT/Cxd+jCja\nRHXD2YHP3Vi+ML63l4lAaMK7ZmRpDX3uxuwFkM9L/LO1TFzFqVp48iMnd0YSCQGp3KK8YSF4Zesb\nBncE4wmll8TPhhckgVubKWSehYkX8Tm9JBbNvLYnpAobOsauQ1xwgVrBUDpri4g5FtwUD7TmN6CI\n8qQrj7Kib+fuzeAscRsksqfnhWwhBEI1XtcDd1oZzbgiMnvHr9otD16ZCPx0vMZUqQLJE13NaGxi\nQLuzVLC50slA75WimVucgx9wCWxI2Fu3Q+mYDAqBVzoza0bFAEcksMMQT7jDRiKbkAh0mBmC4+ex\nPw8doyV2RFLq2sRE6ogBDqY8aiUiTAZdiFR7D+R94bLn/465BP8LF34MMGtue/B2fA+qKwuFfBbr\nGSRRcdz13LWvRBdWKupOIKIUZiscrJ3ntbC4cU8h4lzLQEfikQOf2oyKMVqi97bvfaKNxX0UdlzR\ncbCZl6FwE3Z8K9wwni17b+sTuShbGdh2w+f9CFWNrCvRm5rgAyfws599EDoRVow3euIgze43OkRX\n3AOrGJHIFR0fhD0SAhTnlR65V2Xjzh7h0eEzu+fWK1cifCvuQEOzzyWRtBBijxPZS0KBo2X2TLgV\nqi+8RjjaEzUI12eZYRUn+kDvBTV4WU8cvOAoiwib8/WaB8Q7tiHSx47+/FFtbsyW8dJaMzcqdDGR\n+p59CIwCJ4w7W3AC0ZybmDhV5SEIKSo36T3o9r/wzrkE/wsXfsQp2ix2A63b3L/Q0BeJ7GVECM1b\nz4xVWhXAcGbP+Hlm3z2wuPKoR4JHTJ3XvqAYGxnoSawc+S5ra95z58Y3BG9CP4sYz6XnmY8cLfNp\nzOzixM+Ea7ahjb496MxalJ307ON07kcIaG3NbskSQuSNHYBmsVuDE11QlDtdOAUlY4gZSc5bExhI\n4AMmnoeW6VOMV/nIg1Y2DtcEDm58x96weOBaAj8Td5gJRY3OneTW+guIbCSyeGCxzDZM9BhVC298\n5eQzLoFrGXCvrNKkejtPFCs86ImjGUdZ6SWyZSB5xRkZvVUurtO2iQZJoJhyqAtZAnuafn9KPX3X\nMyUhiHH0wmuMoM7WI2JKST1vPLMbOj4MEacwnzUEfqi5jPq9cy7B/8KFH1G+P9sPCC3bzygrha30\nBJoEbzQ7e/IZ6sp6LvFHEhXItrJq5UQlGNzbiZMr03kbwEV545XXzASv3PiO3isVJ0tgBzxjQjzx\nEBV1+KZs2Ye2zXCoK0utJAI3YWIIrTPf1Che6Wgd/LccqFSSREoUUENFebTMk1QAVJU+BMyh0Ebt\nXjBwEzakkKi5cmcLt3VlT2SLcDTlU39D8chWIi/iBBZY1Ji8WRnFmM6a+YISWC2zkYkR4a7OPLly\nZCUAe3pwZabt23duVBVe6yNvWBGUKSQ2nkjWbHsHJkYRtmFiioIROOYTt2KIBwYXriQSu5F9SExB\nqWK80ko2ZRci1w6ZwBKc1PdsgX2IvLQTn2jgaEc2/p50+1/K/u+US/C/cOFHDHdvc/s/kO3PZDK1\nqePJeJbddXBnpiJARsludKQm5euFbJWVCuZkK7z2hQ7lhpEYEq/8wCs74hijjezbcoCDRPZEPgwb\nxCN3YcE980ImruJzBkmctPBYDySL3MSx9SEgWDVchOCJtc48yMJb3cAc2pRCVeNAaba3AsWaPoAA\n2QrVmxrfTZgYpaNU47P1yKMVdi5MHni0wqd2i0nPTjq+ESeUQDUjmpGIeIwEr/QSKASKK3sZMTce\nbOalF44oEWdP12SQEdyEKSTmOvOpz5gbSuZKdkTLZO9JLmwlctVt6SzQpYRq5XWZmTFGDzyTREgd\nkPhwGMAz91ReWqVTGEzZpYECHDpnCLDBWVn4jiunsiJWmSRxIyNT9z5k1Bdjn3fNJfhfuPAjxNts\nX5CzWr5TvAVvxdnIQDiP77kZKmA0x73VK1BJHlm8sloz73ETsmZufaViXElHx8SRJz61mROVjXfs\nfGBLzyzOCeWbMnDDlnufyTJzzcR1esYkHSddudMjSQNXTHQpEoiItU0GkYCex/JM2vXV4LgXqsMT\nlUVK61EwP1vZQvZM9cSNDLwIE2MYyEX5rj5xNGXnTu9wZ5mX9gAysA0jV3GiGqwKYoUoCWJiQHAE\nkY5qRkdHcufBMkc/cCSwQRgcIulsUezchI7X9cD3/PHcSll4Ea5RCxxdecGOaypX/bO2aCLwpAuf\n1EeSTPRaeR4G+r5VRj7sIrMtfFKPzGYkzbzodlRpoj8lCSFAh3LLQvHAkk9sYs+zMOKdIjUgFZb8\nnqTU78llvq9cgv+FCz8CvM329WyAI7Sg3hr6mvvbTrqW7Z+PUwx34+jLeewvYd6sZ+daKVQw5dZW\nFox9qyNwZOYla2u2s8oLdgy0MvWTZG7CxAu/4uAzn4YD17LhG+GGQRJuyht9RFXY+8DYD0SJ5JKb\n6p4bVOVJlFVyW5gkYakLicSJSpWmDRDMiefehGqF6sJORj4IG8bYk0vlV8sjR1UGN6LDq3PQDzKy\nDQOb0IFG5mIEN6IIKXV0NBVAcwhuBG9uewtw648cCAzAUDMpbng0ZcN5cWKV/7M0V8LOK9dxz1wh\nAzvZ8RHC1O0Qb1ssp7LwGQYONyZ0XUCGG25iRx+Ue6/8Lc2YFnbufNhP1NBzTEZ0g6AcQ+aIcNKZ\nAecqjIxTe435qJhX+jiwjT3bS7/fBS7B/8KF95561swXIEk6C9pUTmSEwHT2pa/egn0znIWVQnYj\nEsheqMBSM0eZGaSn1MwnvjDgPGekBueNr7z2I+rG3rc8Z0vBmaVwIxuecYWZcR8zkcBPhA1bGcGd\nR13IpbCXnk0am9OeGcXPSV6tHCjMspIILLFtOYzWs4iR/UgWIQGdgwVHVakON9JzIxObNDDXyq8s\nTyym9Nbel5e2cm9PBBl4FjYMkjALWBUEa+qDqaMJDCuGkDyACz3Ok1fe2IGTQDJnJ04xUGk6BJML\nB1t4ZRkjk0jszk4BwTp+Km34IPbMRKIbp3rkVpV6Nkp6QUC6kU56riI4ldd64F6dwSofhAmJI0dX\nHjAkNpWAJcHqhmkhMnAtEyEax2PFteIpMYXAxIaUhHle+bi8Bw1/8E7L/iLybeA/Ar5Ju/1+0d3/\njIg8B/4z4GeA7wB/0N3vROQF8OeA3w/8krv/8+fn2QD/BfBztCnTv+DuP/8lr/lvAP8s8Mzdd194\nfDhfy+8F3gB/yN2/8xuc/5seJyJXwP8B/Ndvr+834xL8L1x4T3F3sjV53XBW6avnEv9KZSDSSWpt\nfGatREwT9zl5bkHPE0evZMvks8hvqM7H9kBFeUaPBOHeT3xsBxaUKxu4ou1Xn0Kb6/9pRgKJx5CJ\nbjwLG65lwoBjLay1MHriJ9IVKk03wD1gpog6izQRoIBTQuHkRrRWTXjpj6ziJIRk4GLMWhEi19Lz\nQqamC2DG/708kl0J2ortn9nC0U6oRG7Cjs4Bj6xamc7OhC7CGDoySgSCx2bva0p25zULj54ZLTIR\nW0XlXOY3PfJkyhNK9YVRRkZLTGHkqrtmS2HHxBoCp7Jw1BNZBDXYSWCMWzR0TC6Msbn5/T/axvle\nWOSjfkRl4JGCRwVpY40VyFLpqxBToPPEYpWsHbgzqTCFnrHrWUrmflk4qiLB2Vv9Gu/ar4jzrsv+\nFfgX3f2XRWQP/DUR+R+APwr8RXf/0yLy88DPA38SWIB/Bfi7zl9f5N92978kIj3wF0XkH3b3/+43\neM2/APwC8Dd/4PE/Bty5++8WkT8M/JvAH/oNzv+tjvvXgP/5q74Bl+B/4cJ7SFU9N+8JSSI4ZCon\nVgJn6VzAzNGzn5u6spJRh+ABc+fJZlac6mBauLfMgcIVkSKRJ448mvOGmc6cb7GjJ5IlsErlOR17\nnzjGlvHuZeI6TgwkZi0cdSZa5EXcnQWEHVdBXZtePZlFmtvcSfLnxkGVwBMnFoGOQO+Ci3G0Skdk\nx8BHsiMRmV35lXpEveK1GQ492cLRFyCxCyODB8wD6s5AJEiLLjFGoFJcCSQ6HAyyr7xipdQKONs4\nUjwzi9AhBF15YzO3fiK4sYsTe3ZM9OzGK16YoiRORO7qTLHWBzGYMIjTdSNRElsiRuZRjM8MkmYm\nIjt6Tq4cpJCiM8XAzEKRRPHKUIWEcKoLnkeGIMQ5s409w7ghy8qhFj59PFFNEVsxF+7zwnf1PQj+\n8E4zf3f/BPjk/P2TiPx14FvAHwD+/vNh/yHwPwF/0t2PwF8Wkd/9A89zAv7S+fssIr8M/NSXvOb/\nAiDy636vPwD8qfP3fw74BRERd//B5c+XHiciv5dWxfjvgd/3W78Dl+B/4cJ7xRez/XQe4Hsr1lMw\neiJJEuaOuFBQHGOhUt2bMpwb2Z2qykFODN4z15nv+ZE9HR8ycAiVByt8zCMY/AR79gQqkUWUrQRu\n7IYcVx5Z2YcNWxnoJaJWeVkf6LznheyIMeASaPHe0AqZzEn0LG7Trt2aYDALmUWaAU7vLQYs1hoR\n9/T8ZNjTeeTgmY91peiKG5zOxkInMk5gLx3iEfGuueiJEM+KBhYT2Su9R4SeDQE3OHjmJScwoVqT\nHl4xVmuVh0md7+gjCxV34zpsuJLAFPfsw8BYleyBJxFKfqSEHvHWm/BMEqHrGaSnl8JRKp94BlWS\nwx7IDDxJJnQwpYD5kZImnrwQVImmZINKoNPIRju6EFAf6DcJXyqvDoWTLWRdUISslVOdOZSZo57Y\n/frg88PJ7zzz/0BE/uoX/v+L7v6LP3iQiPwM8HcD/yvwzfPCAOBTWkD9SojIDfCPAn/mt3md3wJ+\nFcDdq4g8AC+A11/lOBG5Bf4d4J8G/sGv+qKX4H/hwnvC92X7tFnt+azQJwgb6ZtWvRkmbTDOMI6+\n4hi9d2QCc52p0jYLrFR+1U8Ywgt6LAjfsyde24HicO0THzJSEB4l8zwMfGA7XIycWiPhTRiZZCBb\n4b6uBIvc+JYhNcObmitKIXhitoU1OJVCFeWEEmif80cy+W3QJzSrYDUgMNHxrbSn08ijLXyiC1lX\nzODJM9lXlrPN0CSJ5IHOB7JVeoEu9rgZNQqrKdFgw0iPYwRe28wTC0vNdIz0VCKBWRKdzsxW+JhM\ntZmejp+MewZJjHHDhBBrJZvx0ipJFzQOFDN2OEIgSUeKbc7iJCfeAORMTyB6YhbDO0hRGaKgoe3t\nowFbHjEZUSKxws4NqkNIWIy4FmJQPn68Z7aVoq1vIevKqZyYNbOwUr1n8kh9XzL/3zmv3f03zYJF\nZAf8l8C/4O6PX8zKzxn1V1qCiEgC/lPg33f3/+t3cM1/O/xx4L919+/+BlWFL+US/C9c+CHn7fie\n4XQkRITi5RzsoJdEQHA7G/HgrYvcm2J/oum5z7Ywn5XuzCuvyoETyjWBHIR7m7m3lTsv7Dzyu9jQ\nkThIpSfyUVOPp8Smz38VJvYysFrhWDJFlQ2Jq35LxamlfB70V80sMaOhoFQeRUnQBH4kM5MZPLBj\nZPaVqoZ7ZJTER2FL7x0P9cRRnawr1eDklcVOrCLMKPtzLSR5wC3i4vQhIN4aGo3ApEKSieCKufOG\nzJ0fUHV6Rq6kqRqaTJTyxCMzM5lqlRdhwy59g9GhDxMDQqpwCu1v5GRcBIgENa7jluhKih2LrMxE\nTI3VK51DCgOLL4xDYAxOSc3zYK0VagHpEIWdbxHNGAmz/rwArIS68GptYkvrUuijUMvMYoVHy9zZ\nkZFA0AAYz6THYiJJ+Vrv56/MO57zF5GOFvj/E3f/r84PfyYiH7n7JyLyEfDyKz7dLwJ/093/vfNz\nR+CvnX/25939X/1Nzv0e8G3gu+dFxDXw5twg+I8AuPvv+bLjgL8H+PtE5I8DO6AXkcOXNR6+5RL8\nL1z4IaZ8IdvvzjnyyQuFQkCYpKPp9Ng503dWCqtbG/ezymIt0J1kJSI8lZVXfmRHz41Ebn3lZMpr\nfyQYfFv27Og5iJNRPmRgoKfG5uQ3hY69bBGHx5KZdeWKiWfdhoqxlBWRCB4plpllpcY2OngURXCC\nwzFUjmQGjzyTDUdfedQjQnfOrid6H7i1I0fN1Lqi5xn/WQ+sIixSuaHnGQPpLKwTJDKIMQPVK0OA\nyXpSSKgr1TKPFB59RYuS4sCGSsR4KG2UcPYZIxCtcB02vOgmokWSdAw4ajCjqBXMI4YSDIY0EtVJ\nMaJU1g4eywkDKgXRgEToYkC6Sh86nnzGiOha8BTpvCNaZJIOciZLYK5CitDriUULd76yFGuLBJ1Z\nJHBfKydbcVtRhedhbFs/Ar1P5LCyCRMbLgp/0lLk/wD46+7+737hR38e+CPAnz7/+998hef612mB\n+J97+5i7K/B7vuLlvH3NvwL848D/eN7v/5fPX7/Vcf/UF67ljwK/77cK/HAJ/hcu/FDy/dl+RBAq\nykyGc5NfOu9Tmzgtx66srudA1AxuTI0iiiOUkvkeK+DsCJgIn/qRj/0B98A32HEtkUpklso1A713\nENukwBhGpvMEwSlnslUm6flmuCKFwFoyIrEZ2NSVoxRMjJnKIq1xLrlwDMaRld4Dz2XD4pk7fSL6\nwCgDH8nEwMAbO7HoiaWuFBfuLYMvHMXJ4uyAK7b0DosbIXQEqczUNh3gwpVvCC4IzqqFN8yoGU81\nM4XELjT3wHuMaieKGwlhlJ4NibG/prdAlI4+AOYc3IheWUMiujO4sErP5EYicEyZo2Uc4bgsNPmi\ngASYxoShPMpKqYIFp0tOMmOKE71G1vlIkZ5bW1pFp9wyCzwVpRiE+YRbpqbE0TLFM7nOoBFE2v1y\nlkzwAJs0EdwY2aPVWd6Hsv+71/b/e4F/BvjfReR/Oz/2L9GC/n8uIn8M+BXgD749QUS+A1zRMut/\nDPiHgEdagP4bwC+fy+6/4O5/9gdfUET+LeCfBDYi8l3gz7r7n6ItQv5jEflbwC3wh7/kmr/qcV+J\nS/C/cOGHjLfZfjxn+4azUKifz/JHxH5Nma+6cvRMpdJ7hznMNeMBihRMjVtbOXpmC+QQeeVPHOye\nB4y9j3zEgJGYRdki7H1LiM0+N0jkSiY66Sim3OUD0RMvZMMQ+yYBXBwQclk5hUIJRkE5ScVQBo88\nBWWm0JvwLE6smrnXI+I9o4x8FCY673ntJ2ataM3MphzcET+ynIN+j/Eh27M9r+GhB585UqkYOyJb\n60CaWdFqmUcyx7qiLowiDDhu8JnNACQqQQZuBHo6EokEJO0ZpZXrDzhmK4HURg5d6RnBVro48BQq\nxQrRwXHUKlHa1kU3RJZzKV66DqwSu8jgHV0VumI8amHBUTNEn1hNOLiy1kLODxhClIGC41I51SO1\nnts8LbHYwhSviFKJ/YYr6Rkk4FaYbeCUj6whMC369d3cPyS4+18Gvmx18Q98yTk/8yXHf6VVirv/\nCeBP/AaPL8A/8RXO/y2Pc/dfAn7pq1zPJfhfuPBDgmoz3XE4Z/tQaJ38b0f6xNsoWtthVjKFxSvi\nkDxwsoy7otEJLtyXE/e+sKFjFOGlz5w083jOvH+ODRsmDtEJZjzzgSkmoiRMnI107BjJXrjLR5In\nPpA9MQQ8CEtWKhUMDqysQSnSRtQCQudwCso9K8mE53Fk1cJDOeDeMcnAN2VkoOO1r8x6YslHjq4Y\nHdUPnEQpEukxnrNBjKZkKBH3zC0rSRJXHujpcRJK4WiZJxbUDPM2GicunLQwo3QYAWcIPT09Yk4I\nA6MJmzDQuXDyzEkCaoVwnrDI5kRPjFYoUTlGI9qBjOBWyCQMoxNBRFk7yAInTvTdQBcDo0+kFR7K\nwkyk6kIphRXhVFeiVdQUCwKeSDIw20z1Bx4QqJWszVJ5342EEOi7kauwY4cTY+BQAod64rieCPSc\n1pVJmhTwe8FF3vedcgn+Fy78EJC1le0ToVnY0hYCFUOkNe1hbda9nsf6Tl4pZJIJxdoIXwmOoSx5\n4fXZunUjcHDl4Auv/YC48A0mPmTHozgPrFzryFXcImJkMUbp2NDhrtyVI+KR52HHKBENMOcCKFWh\nBuUgK0Hgjax0BJILS1DuKSSDD+OGrJVX5QnxrsnwSk/vHbdSWG0m54V7W3B6nMyBAydJbDCeMdF5\n27N3CWTPLBQmej7wQKSnOCxeOcmRmYpjuBpmtTndWet56Om5lkgvPUcrLejLwD509B7oYuRklaNp\ns9TVhWJQ6Ui2EiRxDBURyPrUnAPPKoWd9PRi0HdEgRCUgiFB2bJjLKCnym1debIV0Ta+ueaVXFcs\nCK0oHxA1zDIamr6BqZPrTKyB2A1sw5Z+IzwLe7ZxAFHmqrwpSj09UeZKcaMiuKyEIJwcpNjXd6N/\nZS7GPu+aS/C/cOFrRFWbYx5CTxNdX9sgHI4RJRHMz0N7UN2YfWUhE63DXVjNEHFWyWiFW5s5eiFK\nxhh540dOXnly+IANL0hkEk+yMDEyyI4pRoIIIpFrH5qrX1GKVSbveNZvKe7kUqm14h7b3nooZFEe\npZAIdO7k8wx7NHgWR0SV1/UJt569bHguLat+xHilK64Lt7pgdIDy4HccJHDlxrekJ/mO3KyIOJI5\neeGGLT9pEZNA9chcT5QUWFhbMC0zM4AH4lnA5zpMJDcKgjkcXdlIzwc+EEIi20oOiaMuRBfcnZMq\n6kaH4uLkYLg/USyyesFMSCFxO2f+yq888LRWfv+3X/B3fCtAGnCL7IvgpfBGC59oRV0xVXzJZCvk\nAIgxxkTvkVpOhL7nFJVTnjGviAWCR3bxhnEMbNPALm5xy2jsuFtmHucH1lxxF9QFFcHPLoeC86SB\n4k7090Tc/5L5v1Muwf/Cha+JVSsVJRGIEtGzWI/hiAjRI2It+1nPdrz5bMErJixWiMGIMbFo5U09\n8uQrQ2sF5NYLix+5o3DjPX8nGyqBkyh7iXR0bCSSQocJbLxDRNDqPNnC4B3fDDsIkVNeyV4I3rV5\nfIyDLMxiBJrX/CKZoxgJ51kYMc081Zlqka2MPJOR5HDAeW0FKzN3VnAijnJvR04iXEvg294y/ROF\n2ReOGJXMzf/L3pvH3Jal512/d621h3PON96h7q253APGjhMPaY9IQOKIECRDEBFICCRGSwhEIBbE\nQgooICEHUCT/FckSIo7EnCAUO3aUTsfGNnZ3x91uYrsnurq7qmu4de/9hjPuYa31vvyx9nfvrXLb\nru72rerC55GOzveds88+++wzPOt5h+dlzm2ZoyZsUbLu6J1n8B05KYNqGUiUMwtpMQk0rkUsM1pm\npYqj4rp4DmjxvmZIPXFS4JI2JIWlgnPKgkAWI4ox5g29GH034Ouatppx5JRfvrPhZ//uqyArcDWf\n+/SSo2eO+Mv/5G22OvDiMABKHkdi7MoMBRzmjUqUVh3ma3rLROvJPjGOWwbNVNYgCMe+5rA6oHE1\n3gX6NNANay67LWdDmeKICoYnCogTalG6LHSTpfEBcCjCoX+PsOpe+T9W7Ml/jz3eYeSc6UnIpPYN\no7dx6tFXnDi8uqlxT+mIpb3PBrw5VIs9rveBqIndeMk9egxfSJ+RzgbOrKPB8TwHHDCjF8MDC/Mc\nuRovDnGO2kJR+imRdKSh5YY/JIhnGztyMhyebUqoH9jIyI5EkMACKekEJziUY2nwWVmlgaTCHM9t\nmeMN1iidZmLasco6TRLI3LMlHZ4T53leWzDPJQNuGjYUMU6t5kCOGMyxNCUygjh67VnHzGBGwFFr\nopUa8Y6KUCIlOjKq0krD09LQiCc7YciZlHo8wm5csTFP46DFsXBlsuAbjGjKDNoDFW1Vc2M+w7sa\nFzyraPzshz8HoQaroctAz+qlDf/b50b+8WuCihEssPUVwVeEvOXULRAaoo8ky+ziFipKHcfYhX/7\nlwAAIABJREFU4Wg4khlHdUPjD9HcgcF23HEZe8ZdYpmhohC+OsiO8mkyqBV25qgQrgHmjRoQ7/Bv\nz7dmj/+fY0/+e+zxDuHKmjeRJ5tZR8IehPhNBK8OMXlQ0LexjpFEpRWoMJrhnZEl0aWRdR7Z2Uik\nY6BhsJ4z24JUPM0RLUaWhp5Ea56Fb2hwiC8egQur6TQypoEgnuvuiMZVbFLHoI6M0KeBnU+MYaQX\nQxFmeHbWcy5KJXAsFVVWljai6mgMrktpDVxaptPMMG7YWilWhJF71rFDOJLACzrDLHBmHQ5jQ6KS\nmlMLLGjY4VgzYoyMObOUgdEyooUAT6y4G5r40uOGcGEdTh0LqbntZ8zF01tiMGNIEY0jvUBnRhDP\ngY0YFfdkII4DxkikoiZwXB/QikNDg/nMRnvMhE+8flnC08NQar6dQnDQZ37tpfs8f/Np7lzc47O7\ngQNp+d4nbtFWcwZNjJLIQLRN+QT0Dg+culMOfUXlArvccZ6WRIV+s6VTIU0TB1XKtBnDmAsciWDq\ncOKop8+JSKCziAFrEywpzXsh5f/4B/v8ocee/PfY4x1AzqXNzeOoCWQywxTiNwEzCFOIfyTSWWRH\nQhTESrsaYgQf6DRxP65ZWSRgrIGtjWA7VgKHzDkxY0ZLJwPeMoe+5UQaVIpR0NwCCWUVB4J5rrk5\nlTl6IsNoxRFPjY2LbEOpSkhAa0a0kTuukP4111An5b5GzISFOubSUImwNmNDZBg7NqpEAeh4zXZ0\neG4RuGVzoikrEp2Wdr6F1Tyhc6owZ8DoJTLmnlEiF0S8Gagyp6bCT9MLDKWcq14VIXPgWm76toTJ\nLXOeE2qRXeqIUqEaacUxd3BOZkUmjSuya2kMQlVz6hpEKmgcMfX0ecmQlJwN6ZVhGEF1+iWdbHdH\nBxbgLPO//N03Sie41FAZX7B7/MAP1XzgVuB+37GQimgwo+JAKrwERlHOYseYE8NOcUBnDo+nM6gc\nJG8sgFMRwOFzxWgQKG18GynnQy2hZYZSWSQ4uFG37+hn/+vGPuz/WLEn/z32eIxQVaKVnvdqGsQz\nkLCpPx8nOC0mMFBGum6sJ+qImSAaqJ3HeWHQkfvDGSsigyUymaUlkmVWojQGT9Ew55COgYHIgcy4\n7mtMPFm02MoS2Maimg98yzEVPcY6J1IeiGYMLrH1IyMZ8NRiJI3cdxkR5Zab43PmXoqIQavCgbRU\n4lirspHMMPZsNZOdkG3Da7piZxU3peIZFhiOS+vY2IAXj7fA7Ryow5zBKWPeoc7zRt4ymjI3YUZR\n8p0OUxV7KT50OU32RXDiFtx0DdEy6xzZpQEml8NR49SqNzAKbJ1gMRG1x6aUQBVCqVmQRBRj0BVj\npyy7AUaFnEma6CyymCmQIVXFZKfJIA62AqsAWsgZl8vCoI589FORj24FUoBF4nu+2/Ot12BDhDGS\nVJEIGysuiTuDgwAJ46aDmau4ZgGVhmXKdLoFi4QgXEQjO8FZyUB4MY48HEgNEgmhZcj9u/mVePvY\nK//Hij3577HHY0LMRd17HM3U+71lKJP4pPThOwVDGVFW1jMQqTSAelAjhGJRu4mRS+1L1T5rEhVi\niSUj2ZSbzDmR2eSmNzCjqNaZqxikmOw01IwxscsDM9dy6lsUx2XuH5D+6JSNK6N0HYITQ23krmTU\nZZ5yB5Az9+OAArOJ9B1Gn4W1RDRGLqe5A1u94FxHdgRu24znZcGAcWY7Ost4cYRc8YQ0mK8xMXZp\nRx/KoB+fwSO0CIGamHrO6ZlJhbeImLC1gUYCt2TGTAKDKnfzQFTFaY9lWKYBkaokUwRSqCBvSVrR\n5ZFFdcBJaGjJ7CRzbhdc9D2jKW6bMct4M9bF9BchMzdh7hv+qR+6xv/10WVR+6mC3oFzkBTmBpah\nAQZgE2D0ZRsxWDk++Utw/MPKzQqG7DErRXu1gyTGk05YIJxUJ1hW+pw5SyOdrkqLocDGBJeKB0SD\noQJPVDATARdYaWQUo08dh2/Pk+bdx175P1bsyX+PPf6Aoar0ljAoBX1mjJImOizGPZUW09dIYmU7\nRnIxo9HEoEodPOKEjSYu0yVLjWVbUtmfbdmIcWozjsWhVAwS8QRuuhkHEoiuzLCfqSPmzDL3HDLn\ntJqDepa5I6VIQthJZud2dKaIOGoHmhP3XQKU2yxogLuxDOaZq2cmNWLQq5ClOPJdUAj5PJ+x1IG1\neJ6WmvfZEVtJvKZbsiYingOrOBFPcDNEM8u0gVDTSU+jDXM8aCaqMQAjA61UBBsxS/Qq1MAtt6Ax\nYWWZe3mk0gTZ2GlibRGzyEwanEQSIzuNqDYEgaOq4kY9o9MV58B5d0EXt+iQceKZmTBKQ7CKnW1o\nCQTnSD5gpjgTvv3GAX/0n7vOZ+5nPvKrd8FnqDKIlDqA3sEQiteuaVnYecA7iED2/MLn4Ue+rYTn\nqYwTVzMjc+SOyTmBeNbdyN3coQYj0CFUzpgBczMcUAVwImSBHXBJiXbUcrWAqDm0/c/+Hnvy32OP\nP1CMOTEw9bxLqTYfpRT0ZQGvfhrQo2xsy2qaGOcN0NJ2F4Kn156LuGFtiRU9A0q0DKZcSqLG8Yx5\nGmaoQECZuZZr1IhviNPkuKxGlyItDad+RqUV69Qx5IiasJORnfSoCBGonSCauUsEZ9xmQRDlMmcu\nLdEkx8LPUTU6HFlGclIuGVETLtMZ59YxSOBpafkgh6xs5Mu2YkwjSM2pLDg0T+1b1nnLytaIBLIk\nKmAmgZgHBs1k81SizF2LaaTXSDKogGMCA1Y6B/JIJZDjyEaNDQOtCIcSyNKwZmC00kI5V6F2RhY4\n1y0v9jtit0INnAEEjmRRRv+KYhbREAja0DhPINDgkeBpNDB3cGFLnriZi8qvKKQ+VEW+jwozT8mg\nhMLwyZewdqIsBC6MWd1w6B2HBDRVOBEu+hVbzfQCQ4bRSiahcnCsZUBSkrI7RFAPSY15gIBjpjBz\nMJNDDqTlyLcc+epd+GZ8jdgX/D12vGvkLyLPAn8DuEV5m3/KzH7y3TqePfb4RqCqdBYBoaFCLdMz\nlqIrgaxKZW4a0JNYWU9vPaZSyEAcrfcMNnKZBy7SjnNbs6UMtfGm7CSTMa5ZxSlHRMn0Fjl0Lbfl\nCBNHkkjQBCb0KVMTuOWOqfCcpzXReoJ4ljrS+wHFiCLUTqmz8oZL4HQi/cw6G70NzFIofvymbDNk\ni+SsrGUkqbDUM+7qjlECz9JyjUPu0vHZdMaIcigtN+WIOY7sajapI+oa8Y5aDAMkB8aY6DSDGXNX\nUYlnUGOdNpiVhVODEAgMOLphQ0LZWpzIGhqBE6lZM3LXBsY80tDgLSMSSsvhsGIbL4iW8LRUlGl6\nC2moRRhdejAFsDIrBkxujpGppKYyY5t6XtcdF3HLNhl+EIh1YeNsbyb8ETA/SXspIf/ayi/wCLee\nhGdo2Y2Be7bB5S3nBrsMMZbAQS0wBxzQZ9h6qKWo/xDgSDximcYFvNQgjkYCjWtoXUUic5Y3vJS6\nd+lb8jViH/Z/rHg3lX8CfszMPikih8AnROTDZvbpd/GY9tjja8aYEz2RCkclntG0GMNYJAtUWjGj\nZWRgbSvWjPjsUJs4wHs8jqX2nKcVl7pjRWKwUsQ3SiQChxY4psFT0dHT0vB0uEYjjp2MtNZSmWeI\nmYDnRGa0VKxzTzIhZWVLZC0DFmDEmIshmrhrGbxx2xY4UXbZWFvPcW644RYMmriwBJZRpSxKMtyz\nc+7pDicVT7LgiAVv0PPZdInDOJAZt81R4xlcUfpgWCW0mogirFLCqaLmgcycQO0C69yzsYHelEYa\njgBHzXoc2NklWxW2FqnFUZM4DQtUBzZirHXDOm9pMqhfsNUyBGdIOzqLRHHMzdHKnOvuGg2glWOT\ne7qcSWbMpBgC1T5MRYIGNnJHNvRkUuzoe6GJgWMplQDMHXQUOTNKCfEbPCD81iBaSQdsmcbuCd//\ngvBSv6ajKPzeitHQ3EPj4ZTSq59NEISjYMw9xa8BjyezVsO5GlEliXAic0Qig+1YptI+WuN5gsN3\n5XvyNWOv/B8r3jXyN7PXgdenv9ci8hngaWBP/nu8J/BQ7cOMGkPZ2YAAoxhqQmWCB1a2YcNY1Kla\nsc0NDTWOjfacpzUrHblHRyIhmhFxnEuZEvckMyrq0h4oytP+mAMCnYNkQm2ecUw4Mw5dy4FV7HLk\ngoFt7IiibCRNZjBKg4FG3hDDPDyhLTPnWWdlaz2Hqea2O6TPiWWOeDKjWiFHjZzbljPbUFHxnBxS\nUXNfI6/rOUHghDktQkXNKJ5sPSYDBDDtSG5GUkHTSCMz1HpaAbWajQ6cpy3Jew7wHKnDnGc1Dqx1\nxSiGVyUIzJ2nkopOO5bpjGW8JJXsN61lNinBsJ0KI8Gb58QdcVPmzPwh5gbupTXJz7gcVyxwOAJz\nc4wGPivJ7xiFMlJZtrjR6DvhH24alp8XWDg+9ILxg09eh+0FDA58cdybJi6VXk4oiXiRh5cj+L7v\nNTozXk+lb39BWRvc9FADoQJFwMOJhxMnHPljurxjq8qOEW+OhVQs8IirCQhRcxkAbcqp1JgIPZ57\neffOf1n2+KbDN0XOX0ReAL4b+NhXue9HgR8FeO65597R49pjj98NJbdfcu8YJNHJoa+49TVWUVGR\niJzZmk47xISgAXWOeRVQU+7njsu05XVbs7QtNYGAYyOlt/+mNByxIIqSDa75A65JhXMtvY14NSw5\nhqwcyYxDVzPkzBk9KQ0MGEsXydPAn8Y5VBPnXhm98qTOqMWxUeN13XCUWk5kQdLEpUXqqU3xPPWs\nrOPMtixtw5wDnpNjGvOcZWOtKzyZW+64DMOxMDn4KclHGgJZB6IEfPa0KbE1QTCS9vSWGW2gTx2t\nnxMUGitKd5l3ROsYdcfCzWlNwQUcnk26yyua6DSSdKBSaFTY2o6llfBiQ+CGO+LYz7i5uM24O2ej\nA1/RM1KOBBX6tOFAHOYqPJ7kjErAGFhKRC0xDIr0FabC3/+EFIXfCdwRfv1Lnvs/tCoV/1cJ6ysb\n3ZFC9G66HFIWA1YO8OMfBZ6G73uhKPx5Ve6qfOkaPAR8MI7lkNEiaxs4i0swR4tw6hYcuBqP4Kk5\n0xWC0crUYyIVdzTSGax7Q8d34QvzNWM/2Odx410nfxE5AP4W8B+Z2eqt95vZTwE/BfChD31oHwja\n411FyolhMlJppSKZkiRhpgxOEXXMaUgklrZlZR2iDlGPF6ENAcxY54G7ccV923JhHWbGgbSs2DGa\n5wDHUxyjInRTXv+WO8BJoLctQUdyNpKW/vdr4RiScC9vyGlkQNm6TJRC+q0rQ13u0xEdPJ1nBO/Y\nGVykHW2qOLU5vSmdRBYGKSXOrGdtO851y33bMJOG57lBhedeSoy6QUS56Y9pzVO5UuQoZHovRE0k\nVaBGMtRm7Cyz1ZGBRDZHzpGoA4GaOTNyTCwtE1NfihlVqHzDoauJklinLSu75CJGMqWwvrHJX0fh\nPsZC4KY/5JY74Kg9ous2LLXns8svoziyrpiFBQsaKufI0rAgEsUwUSLGjoE+9VR9BS5wYgFa4bcu\nMqykKPwwKfjB+PLHDRbG9PEoyj9R2v4MGKY8v1BuvyJhAb4IH89wOoOL1wCF+knhz32bpxEhWeY1\n3TAanOC55WYcuBmOkYywtqG4MeqOShwLCahF1gq7nbGKsOlLFGH2jn5jvgHsf+0fK35f8heRPwH8\nv2b2iog8D/z3wAHwn5rZL30jTy4iFYX4/0cz+z++kX3tscfjhJnRaxnEU9r3lIGI4EgoA4lGHWGy\nvb1gy5hL9bezQOMrZhJY5Y6zuOK+bbhPJFrmgEAS5a511HiethqRhl6UuQs8JddoXaBnRAxEPTFm\nvHmu+WO8CvfSmiGVEa6dSwxSzGda58kGr9sWJ44nck0banYYq9wRUuA4N/QYW5dxKTOKcC+v2OnI\nHTvn3EZmCM/KdRZU3MkDYgNOhJvVCY2CuIBoZsiRMQiqPUErDMcsO0bNrC1jNjLogAmlNkFcqSMw\nIwG7uMKcRywR8HiEJCOXNtKPG+7pjt4g5dJC77UI8B44ljLt7po74JCa3gLL3PHG6jV6Gwgoi+qQ\nyhze3cDE0zoPk8vi1jIdGWcDbgjEaLTW0DqH847RORa+5bdf7mCQkrsPk8qfU0j/cirgVAeVlUp+\ns1Klt6Dct50+VLk8FGelSvEVuDAptymMa/ifzjJ/9geFOY4DB8fuAM+IiuNcN3RmCHAkjjmeA1ej\nOvL6kOk6WPcQQnmuAxEYQd4LQ/2MvfJ/zHg7yv8ngD81/f1fA38T+A3grwHf8/U+sYgIZSHxGTP7\nq1/vfvbY43Ej5kRPwiHMpGI0RcUwy+wYEYo9a7TIOUt2OhaDHnX4EKjEYwZ345pX0jn36OitZ04g\n4DmznozxpM1oZUaUiAg8549pRUjiGMxQy4xj5oCKQznALLPKO3Y5MWqmd4mdjAQRKldGut7RLTjP\nLW1pXMUO5W7a0lhNO1SlZgAlxxENgUtds9WeO3bJHetZILwgNzii4V7qOWPFXAKnMsNPE/Ny3rHL\nA9k7KjKNCsIBY9yRgZUO7HSLaVGwZsqI4czorMwB6OKAd5HgPJYHwLGygWVasraBQWGTCk+miSuT\nwUmAm9KwkAUVglKziZlL2xCJOCAEx3FuCK6lpsX7MiJZkGK6JBVRd2VETq8MyeMFZlXAxBMkMAsV\n19TYpVTC+WEi9ki57qTk+QMQpaxKVKClEH6mmPyUtcYU15/ILblyn073+ckfIAMrx2/e8/zp2y3G\nWBS+gTEyl4ZnXUUQR7LIG2nkbJ1YjaWuUIDZVHiYgT6Vp2reK5y6V/6PFb8n+YvIfwE8C/zHE1n/\naeCLlPa8GyLynwO/+HVGAP4J4F8HflNEPjXd9p+Z2c99HfvaY48/cJgZnUYyWlq9gM5GnMkD056G\n0g62pudSt5iWqWqVc8yqGjVll0fuxhVftCVb65jjOGHOmW0Y8RwTuMYB0SkR5dTNuCEt5mo67fCW\niaOntpobLlBbYKcjS+sZk9K7kdHnIi5dxdb1nKURdZ4nreXAtSxzYpc7nAVC74kedpLRGNHgWeqG\n9Tjykt7j0gaOpeWPyE3qDGcY52w5Fse3yCnmAa0YtWOtW+Yh4HMx5knasM0dO13S55FeOwyHMyOZ\nMTJSmSdCaX1MO0ZXs7aOOntGjYgq57rjLMHaoFdoBY4pl7mDozBHaZmZkAn0yYjWEd1IE1qyZebU\nBGqctMx8RFyYzG/KGGUsg/UMw8BuMEJVU4njqHLMXKCq5nhLjOPIxW7DTmGj8J3Pwv/zIqWlTygK\n1QlFrkthXJUrJ55C+EJZNPhJ2cfJ4KfsoCT3nU0LAIEcyuMGePEuxFuKGlxm4TMvOwB+4Hlh4zru\n9Ea3LuuJrHDqYczCQImQ5CkzgZRpf3mvqPfg9yF/M/vLIvJngF8AngB+1cz+EoCI/DNm9l9+vU9s\nZr8C7xWfyT3+sCHmRDeZ9TTmSWJTOZ+xJlKZ0ODZ2cCFbRlzorGAiaPxFbU4tjpyf7zkFVtxl57K\n4JSKEeVV62gRnrMZuIaEUTvPM3JI5Rq2toGcQSv6NHIkgSPXlkp4NozRWLEhOmHmSuHX0kcuUofi\nuEnLoW/ZqHI3rlGtqAZHR0acI6U14uac6Y6zYc2r+R5bMU6l5fvdC+Q8codSy3BdGm76BizQaWZM\nxfymEs+JQZcyRmCbdwwxsWFgqz2ZYjRklNx/5RpqakiRpJENPd48Q9pgWTnTkWWC+wYbSiT9OvCc\nwGHwOAKVBDwtOQ20EsiMOCk9k+oDSkfSikYOaUtFAK0LRDIDSrCI6MAmCWYt3moCypN1ha8bHBXd\nuCFr5o3ugpRgp0VJBwfPB8+3ncz5R+/fYp/nYRX/bHLbiZQFgEyhfmwK7UuR3ZHi7GeTNBcpCr8y\n0Kpsn9z0yyjg4ANz4URafumVjo99kskXwvjcp0do4TveD8/PwbLggLNYdh8VPnZOqU/wxulp4Npc\nORH3Dn6TvgHslf9jxdsJ+/8Y8FcpgakfBRCRPwJ86vd60B57vBfxO9W+MEoxnemIJDIzGtSUe6xZ\n537ya6mofCAIJFPujmu+nM64Iz3JRk5pUZTXbEfA8SwH1DRsZWTh4Cl3QiOO0SJbHSEHhjgyF89N\nOWawyF3bsIvKSrZELxxIRSOZCzcw5gjmucGMmfMM5jiLHVkdNggDuQhN7VGbcTf3vDx+haVt6TBu\nuDnfITeJBq/mHQ7hutQ4HNlVbPKGihYTR0AIOHZ5ZGvGkEdyjpzZCjUBS1TmURFGzWTLeFO6GMsM\ng9xRqaEJOoUzlAstXXAL4BrwAQetE7xvCeZIqswk0DDDENRlOh0Qg+Q6gptTqXDsTjjwFcHPUBvZ\nacdoxoYRTNhZzZHVtFNhnNYztmPPfc2E3ZY1RpgUfiPFHa/xDb/6hZH7WfjQLeP28YZnW+HlhiKr\nlcnEh0Li48RaYRrqkyn9/CoguSh8sVIXkD0cwvvfJ7z4ZYGlK4sGk7KYqIVnFvDf/mIHm2nBMK0R\ninWw8Fufhdc/CN81g5JwgfMc+NgXczmu5ADhYmdcXHd86OZ7YaYv+5z/Y8bvS/5m9n8D3/+W234b\n+Pcf10Htsce7gavc/pXaj6KYKUkm1UiZk75mxzL3KJmggvNl0lw2Y517Xhru8bJsSGQOrGLGAWe2\nZG3CLTngiIaeCB6elWMWEsiidGr0KWLZaKm54Y4QgzdsTReVFVuy9yxcBTZy6SN9HsECN23ODM8g\nnvPUYdkxDpEsAUeAvEL9gi+nS365+xS/+Jkd7CYnutvGj75wyr1aSTZyDU+iZnQOnzpcBk9LTwc2\n405csdp03Gpn/NbqVT43GsdO+K7DFnzAm9FbJI3F4zCqcV8VH4s3QgKW03VP4bpD4BkPRx5qt8Dn\nHnKe2tWExs3p45rOtvSuobYRFeU4HFG54hzo6xkxdfTSo2qMApXzmAaesFBaH8Uzpo61wZhGQjQy\nRqXldNSuXG66muCFD7808qXPxELezvjYy0Aj/PCH4OVPUyRRsAdFejBZDHY8JH03kW3IpR4gO+AR\nt79K+L7n4cUvFrJ/EBB1cPys8Yuf4iHZu+kx8si1es5eUi4/aDhxXKjjC69bGS2cdDowVxYC58Ls\nifdCxR975f+Y8a63+u2xx7uNq0E8itLgUSCKlnw9pce7ITBY4lJ39DoS1BN8oPaeWjy7PPD6eMlL\ntuKCjpkJp7Rc2ob7DBxYxQeYA2Ve+zU/4wmZY1Iz2kgfByx5agLXZIFHuG9bNnFkw47oKlpX00ri\nzG2IWakscN1mzOyK9Hu6aKQUcVKBejJbegm8kdd8Jb7Ii+MFv/aJXMLPTou6uuP4qde/zO33wb/5\n7HcRNfJqPONvvfwq63MKwVxNpRsoatVPyhQBc9zx8Dk/8gPvG5lVmS5nfDaW2Yhm1FNbe48xmLGb\nOPIpKS64B+KpVUhmuOxYcEyDktPIiGfJDkfCVY5TPMFd41Aaso000tC5yE56pPbUKaA5Mndzxtyx\nHDsuMCwqg2Yus/HxF4EL5fgp+L7nSh3BAS1zoHeRV2Li7/06pXofiqKHqZIfPvKycfpBuPgCRdEH\ngQHe/33w4l0HX6K84Ho6xyIw1MCk+B8l8HPhf/77U1ugwKOst/zK1b9TqF58GQ7E9Nir23vHJ15V\nnr0Nx87K+5SEhwUHD7dt3wtR/321/2PHnvz3+EMLM2PUK7Oe0lg2ksukOkZ6Mi01mOOCDes0gBmB\nQB08DZ5kxt1+yeftHnfpmGHcljk7HXiFNRWep6ymkhlJlJmHZzimdg2ddWjesRuhJnAqLbUFLq1j\nGTu2DKgLVFJx7I03ZEvKRq2eG1YzU0dyFee5o48jYxqorQb1dKzYmXBfd3whv8qvvXHJGxG4pJTJ\nyxUZTE50wJ0vwT+afYkbi1N++tdfLWRE2YSdFG/6qxvSxCBTpxspQ1I++qKWXxUHN46Vp5oplSJl\nkE4PnAo8EeCIwqWH0pDIOK049Q2RDGJsJaAamVVKJRUn/niqYq9xHjZOaf2MzbBhpgFvsEw9yzig\nJoy2hAwZh8PIAV5ZKp/+OKXdLsHyQvjw5+FH/hTgBpZZ+JnPAa9QXkco2xXxbA+8+HlN+NYfFA6+\nBS42UNeOP9YKyVX8yScrXvv2npdeUhZHjm+/1vA//O1Y8v5XVr+Pmti4q/eEB/V/V4uqhwuBKyKn\nFAde1Ro8eAMcrD0Xc7hxKuAfVfePRBNicQ7cY489+e/xhxIpZ3oShtGYJ4th0w/tjtLPHwzWdGzz\nQLZYurt8RS0BZ8Jl3PJiOuNVVjQIR9QE4DVds7PE07QsZIG60np3TQ45cjMGi6zzjn5UMOXENRxa\ny6V1fCUtGa14s1fiqFzk3EdiUhqpuI7nQAO997wxbkmpJ+ZErZ6ojhVLhmysXOS+vs4recNHfn0o\n5JLhgQI0ebOymorV/86LKzhYPaJC/SPbPaI0gVKlnkB04qgp3x0BJ9wflOEWHDdwFErX2+G0l5k0\nYJmWBrKx8IdkH+liBid4HzluD6hyTaDhpD4gaSYzYDmyJjOj5n63hCFxYREl0VDa2sYkOITkjQql\nEaFP8OlfsFJwd8WHsSjxn/88/IsfhJ/5PHBneplqDzk38lDBT+T5XOM5dYI/nQOekZETKR0DJ3XD\nB94PHiU4B4cZlvLIAoCHBP5A2etE+NOi7MFK4FGihzeR+YP3pBQbbjphcV144Rn48oaS1rl6rBNY\nwBP12/iCfDNgr/wfK942+YvI08Dzjz7mGzX52WOPdxrFrCcyTmpfcETJMKn9SDGXweAsb9hZZG41\nja+nSnOhywNfGu7zEmt6Ro6pqAjcs46tjTwhc94nJ2wB8Y6bruGImgiscscQM1EzJ9JyKnOWuuVL\numSnxTaoEWhc4tJnYs7UyXONwKFVbAVeyx1jrzjNpCRsLDLS0eVIJz2vcY+IZ+4cH/mkK6fYAAAg\nAElEQVRiX0LA7lG1Of2oXv22XvGL8NAxR/wj28pbNk7lWuzhY00n+1pKvxmAwnoJ3/ZUyRo4oBHB\nmxSjHWsRp5P1vVG5itnM0VrFLMxpZU5FZNAt53HDWDmapCzzJW4Hd1BqaWjM8GQUz7lZsQX2ynw6\nLDNjZcIyTa8/28PIxVSwl16BL70fuGMPz02azps+JPxH1fhgnrk7oJJA4ypEZ0SDPnUlle9q2tyQ\nSXzPC45PfoLS7vdo3l59aSN4KPnLtXtkYaDu4el/02LsrfH78ph/rDL++Ez4B98Kv/nZRwh0AX/h\nO2u+/fbBV/tqfPNhn/N/rHhb5C8ifwX4VyhDd67MKw3Yk/8e7xlcqX2A1gJJDDEjU5zdDMOZY609\n2xwZLdJKhfOlrU8VXh7u8QW7YMnAkQQWNufCViwtcSgz3i+nOBw7Ua77GacyA4xBjVXsGRWuSc2T\n7ojOBr6iKza5Z0tiIRVzlzhzkWjKPFcsqFng2WK8njuGMZM0EjNsLBExLPVs3cAbbslgSo3wpB5y\nYDN4/R4gheTeSvpXePC/KyFlmAjmilyM8rXPDwkfe6hcnTwkfChEOQlZRjjCUFMOckuoFogTGhO8\n82RxzGpHFeaIZhZuTqXKLnVcSEKDZ0hbgsE4ejapjDVunOPUPFvLnJvgs6FeOWRKwWfjvjl+4yW4\neEmgMZ5/ZrLZvarQr2TqvS8Kf7OZXuaVy1545Fqn13lVaW/Ct9S3uC7GaInLPJCzEnPi115O/OYF\nwEhTw7CljOk7vir0kxIhkWmxdEIxNLh6DrmqB5gWBZ5SZ3EFo7wPb4oElMf+wFOwCGBO+OFj4Ye/\nF+5leGox4489c41544op4Tc93hKZ2uMPHG9X+f9Z4FvNbHicB7PHHo8DV2o/kouxjDiSKJixZWQk\nIiYkjGXaoVZi3vPQUItHVLg/LPmsXXCfHQ3GdWkZNfKqXeKoeZ4ZFYEocOQ9z8gRjdRstGMYI2vN\nnErLbSka+Cu6Yp12DGQWUnPoHUt29GLMcuBIKipzxWo39nQxsdaRMSujJZwJpiNrP3LuVmxsYEbg\nOnOO8ozX9ZK/d/HSpOApBPJorjczVZvDw6IweEA4QjHBuSL+N0WgtYTONZd9XD38ivCvitak5P8b\nOeBADlDXMZcKpCqt7t6zUKhljkuJJI6LvMXhGBlozbHtdlgMrMkcitCKgtSsNbM1I2YrM/wENBsb\nHKql5e0f/LKVULsWInnpFUqhQaQsXNQeHO/BM8I1gQcDeEwfLgL8tEi4ioRkA/V8+LN3+e3PSrH6\nrQRuAutpGy0nZICHRkBMZgHBSlV/omy3mZ5HrtIRj7xRMh3rgyjL9D5dGQtN6ZqrgUE/cADHhzWN\nVJwezlh4Tz2rUIVejdUIjO+JyT6PFSLyLPA3KIZ1BvyUmf2kiFwD/lfgBeDLwL9sZhcicp3ibvu9\nwF83s/9g2s8c+N+B91O+VT9jZj/+uzznHwf+OmW8ws8Bf97sQfEGIvIvXT2Hmf36V3n8XwD+Hcon\n5x7wb5nZS9N9GfjNadOXzeyf//3Owdsl/y9S1rx78t/jPYUxJ0YyDqGZPPTFjERme/VxNmGZOwYr\nU/rEh6L4zbEcVnwlr3iNHZGeY1oykbu6I2Nco2UmFV5qWh94SloaBMXxRrekx2gt8ILMMRx3rWOd\n+lJMKJ6ZN9bS0aEscuCUQItnZ5n1OLDOiYvYkVSJRBqrMVFWsuNCLrivIw2eQ61p1bEi8anVi/zD\nL065Y0eZCwtvVvx+Kih7ENq/UvlXXrRXXrOUa52UquhEmvqmGrSHi4P8MEsQ4Lk53KAhueK2p96o\ncqalpclzVCJj7siUCX9iPbuciDFwaT0H0lBJpPLFVnkVIWnCSfnxqjEGc2yntjnFaBE+f+7hXMvL\nuCrca6ykNRYUU4EpT877hD/5PuHjX9KHr0N8IWl1k0GPlfOVPAzQPCX89qfkYbuehbLQuFpNPIji\n28N0yJty+VIiCtE/TLlcbf9WRY97SPJXtzvw1+HJUA7tQ7fgB2/WXD89oPYNs1kgiUO7kV03ksay\nENOq4vDgPTLa5/FGKBLwY2b2SRE5BD4hIh8G/g3gI2b2EyLy48CPA3+Rkgz7S8B3TJdH8d+Z2S+I\nSA18RET+jJn9/Fd5zr8G/LuU6bU/B/yzwM8DTMfw5/kqk20fwW8AHzKznYj8e8B/Q4nIA3Rm9l1f\nywl4u+S/Az4lIh/hkQWAmf2HX8uT7bHHOwVVpbNi1vOgfc8yRqYnM5JJFkk5s7ERzGh8hROhMc8Q\nR15NS75iK3Z0zGXG3Bac2YYVA6dW8bQcYa5CnHIsFccyRxAu4o5VzszN8awsEHFc2shZ6oiTw95M\nYOMGtpaYa82JVXgcY1TO0prLFFlpj6mAJLxC44QVa+7ofVb0tBa4loVGWu4TOdeOn32jh9fekguW\nt/7jpyuZct/Kg5J2N+Wkr354dSJ+9GEE4er6SvVbfrj7igeGN7eO4U/cfBZh5JAM4YCamiCRqFtS\nndmlxCiROhubcZx862HmE1VowTLnA8SYiBSb3wpD1NFNXO6tEP6BBATYWObzL2sheyhrmXh1vMK1\nZ+GPXnfc3xhP3DSeajwnruWVg547jZVefEdR5XkifJsq6kX4c9/j+Zu/AixcOYcPOu/yQ4XvpEzz\ne9MbEN6Spp+I/gHxu4fbPlh3veX/R97Gf/UF+M4bM06OFoRmRhAjjyNRHBf3L6FuGIC68RweH3Bz\nVnMgxnw255sej0Y5HsfuzV4HXp/+XovIZ4CngX8B+KenzX4a+EXgL5rZFvgVEfnAW/azozjgYmaj\niHwSeOatzyciTwJHZvbR6f+/QYmoXy0S/ivgrwD/ye9xzL/wyL8fBf61t/+KfyfeLvn/7emyxx7f\n1DAzomZ6IgFPhS861opvfmcDicyQM9FKtX0lpW+9whNT5I244fN2j51kWnEsrCp1ADZQEXhejmld\njWEsvHBdTvAI69izygkz40lpWbiWc+25zCPZyijg1sPOjdy3RJOEa9ZgCF2M3I3FFnfQkdqK4vR4\nTCNLGbiT73Kee1ocJxxgVLw8LNkMOwLCx77A7xSND3BVRc7Da8k8LN67unkiJOem++3NA2yEUr3X\n5KkwkIdBgsxUW2B86ImaH7z1AiOOuS1wqqTYkZrAKkeQiOvPWWWj0sDWRhYI1I5OjXU0tmOZYpiA\nmRk1jqWWybgBY47wrHgigY7IzjKDGaNSWgt2PPTShwfV+k+3yu1j49uvLTgNhwQpRQofvLnlk19Y\nlu3ilQmPn8LwV6H5wBe2Bovp3DyI2jrwgQe9+/JIYd6j5/XRKn17NELwCMl/NcX7aCBmeq9MWm4c\nnzCSWS93+OAZJWIGh4s51w7mXG9bZk0gq7FLwiaNLNfbr/IE34R4h2oTROQF4LspqvvWtDCA0vdx\n62vYzwnwI8BPfpW7n6Y0kF7hlek2ROR7gGfN7O+IyO9K/m/Bv83DhQNAOy08RuAnzOz//P128LbI\n38x++m0e0B57vGvIqvQWUYzK3DR5rxT0bekZpx/qXRoYrYzmxUPAoSacDWu+ZBesikNKMfbRgUt6\nvDXcllNqEkKg9cWMpzJhnXsu40Ay45bMOJYZlzZwN63ZWUdEaZxDJfIqShMdhyng8NzLOy5iz1p7\n1KCVGjc55A2p44LInXyH0f4/9t482Lb8qu/7rN/vt/c+59zxTT231BLIGtAMBgkMxEx2xYwuBlMG\nW2UnFUIox05RpOxUEuLYAQ9lbExsQwKxUyYG4hhbISWBIYWxkGIBLYTQgIZudT/19KY7nGnv/RtW\n/vj99jnn3n6vX0viQTfcVfXevffsc/Z89ncN3/VdQoVySbax1FyfH/KLn1jXs5+FLcCJNrDV74FV\nlC+sSwJDa5/RXO8ewtnNJ4SWlL+DN52H9z3FWtZWTGmbU2gafv3I8EUXImNRjhFCWmBFiO1VltSE\nLhReoCAmgDEcRqXrEhKLxIAqEUOvmS8HyhbCOYQRFR2Bq6qgPZryrmwJTBA+/yL8hitpfTTX5Dtg\nDF/z0guMbY21DTEmtiYj/sl7PsWjjyawNVS2EB9LSl5L+QCFFBg3G2USI2Dc+sSvavSykUERTlyY\nwSkoftcJkHvWNeTZwA/g4Z//ekuS63zh/SO2t7aZ2IqdZsz+ZBsEQoq0apktAn3ypK6jS8LYNLwo\n7LOP/C+KyGbt/MdU9cc23yAi2+Sx8n9ZVY/z/LqyeVUVkeflgoiIA/4F8MOq+sjz3UERMWT5/Ld9\nGp/5DuALgC/fePmlqvqEiLwc+H9F5AOq+onnWs/tpvr9jKp+q4h8gJv4Yar6+ue7w2d2ZnfKBrGe\nnohVySNOyXr8AZjh8RrwwePR7BxYixGDU8txP+dyPOA6HV5anI5otedYZ/QYthmxX9r8ajfmnDSM\nVZjHnqf8gohhX0eck4ZOlcfTjFma4cuTOtHzRBL2xLLTG7pk+JQ/Zq6JNrUYTVRYoOdG6vDqOUqH\nXNNZjnqB8zhEK45Dy4dutHzqKbNRAy4mq/9YF+MNlHOB+NMnLr9fErh0cn1Dej8VZ2DAuyJ602b/\naA3+tQUpk+j6BFb599NP8bqdC5jYYWSLbrmgU4imo1aDb6DrFQ2KUfLYXlWsmA0+Xo7wa4Q9HIFE\ni3KY/OroLFCLFHqDIEZ54HzD9pt6/t37yECeLJxX/uJXnmPLjXn3kzf4xcvX4NDlZb7OWYJBq0Bk\nLcubNiL0xvGeR20ubwwvbtIlJGcX8vnduB6nn56leWJlRYF3lUHZWP3J63vyMz/1Ec/b3vQSbGVR\nKtRGlr3iNWGipwstQS0Jw2494p5RTTUa8YfErqnqF9xqoYhUZOD/SVX9V+XlZ0TkXlV9qqTqrzzP\nbf0Y8DFV/ftl3Rb4jbLs7eR6/2Y54AHgCbL0xWuBXy6Oxz3A20Xk64FvAv4UwFDPF5GvAv4b4Ms3\nCfiq+kT5+YiI/DI5k/GZgz+ZgADwtbd535md2e+LhRjpilhPhSGKEjURURa6ZEFPitCqx6ngnCGq\nIgjzfslhWPAkS3rJo3p9SsxZsCTQqHCX1IyZYJzhIjW1WnpVnumXzDWyy4hz5MjvcpizTAtmCBUQ\ndc4xFSNVnPdcDY5jnRNiJEpHhcEoLHXBkYLXJUc64yj1LMm17XMKvrMcxEgfi7Z8OH0WNov0q4b0\n8pJfL1vzinNKX8j1+iHadKwj0RDXyLqpJlui1SseoMqp7pRyndwJ2JgZaMFwI42olokjNShLRCxi\nEz5Br0q7AEWZKRjNgK9ArYqoUIthCxhhmGpu0wwKT05hUsP9jWQ8FkuFY1xVJKDB0vqee+8f87lz\nz8ePyPvUG/7Nh6Zco4WrBtJkHZRXmksWQ0ukKqQhoi8tglU5Fx0bXZAbEb+5SaR6GvQLfeKEo1XO\n/2vuhg8dA1NOAv+JbMBwUYpjOQcd16ROqZ2ynHd0auhUSFHZrhp2TGJ7exsnlqoSGvdi0Pfljqb9\ny4j6Hwc+rKp/b2PR24E/D/xg+flvnse6/gZ52vR/MrymqhF446n3HYvIW8jlhT8H/ENVPQIubrzn\nl4HvLWz/XycD/bDsTcCPAn9SVa9svH4OWKhqJyIXgS8hkwGf02430ncgRDx2uxWd2Zn9XlpKiU4D\nnkRVUttBE5HIQjs6EiEFuhRADZVY1GbHIMXEDd9yRRfMZUHUgNfEQgMtCafK3bLFRCqSgbExnGOC\nIlzvFyw1UqvjEg6bKp7WnoXOmGnOKnRpQUeFhoSEKVPGzOOCCkOgxYrQJZjqFJ+g0yOO04JDgelC\nmBhlO4Kq4ekIT/fCEweSa+wnov0BEQoD7wRb/HRaYINcNpD3NqsBSh4hrKydgMRJsCo8BMQRjBay\noMn69V6zQ9GNSh+947wIhzHligDQx8RRyAS9TvPx7SBsoTiUhDBGsAo7OPLVVGaFUPj+p+Gxj8ia\ncLijfP3rhAvVmCe7SB2WPFifQ9yIi3Xkxx4+hFldjiF/7tqTUhT+yrmLAyegZAeMFIIjJ4G9ko3M\niuZlm9o8p1P3p0992njfplO14QgYCy/Zgcdnp9cxfGDTycsrum/f4Dy0MXHcemJQRk7Yq4Sd3R2c\nqxhVYBGqqiIhVC8S7L/Dff5fAnwn8AERGSbU/jUy6P+MiPxF4DHgW4cPiMgnyc2itYh8I/A1wDEZ\noD8CPFyi9x9R1f/1Jtv8btatfu/gZM3++djfAbaB/7NsZ2jpezXwoyIy5I9+UFU/dLuVncn7ntmL\nznyMtPSllGtJ5Nq+JzLVjgVLUkiEpDgRxCkhJSQIx2nJtTjjUJZ4iUQVjnQJQFJlX7bYEsHiGDvH\nNjV9VJ4JM5Yxomo4J5axNlzTBb223Egdqp6kHTM1BK+IzlEdkTSS0hQRZaYtPvXM45RZ8giJa92S\nQw+tCjsoF62SesPMg6jhN66TKe0rG9CmsPYHID+BLqdMyrIhtB4+quRe/cj6SRA3VqMU5ruCqVlJ\nAlfCfS5xdEnhMMC8yWA6r4pDYeAe5ZKBGygx5nMbNEfxDpgAkwL4DcL7b8AnnjRwnOAcvPa+wOfu\nQoNh11quHwUe+yh5p0xh4R8pb3/YQd+CrUAb2JvzV9+0w/ufmWdnqStRuxbAt5Lb97SAqZ5yklQ5\nKXSkpRzABldPbn6qb5baHy7NgN2b5f/N62rhNfcY7m8afuiZJUTHKotjYp48tCz7vuIbKG9745jD\no5ZUGSZ1zWQCo7pmu6mxolSjEZKU2ggheBBLv3wRjPS9FfHxd2v1qu/iJrTYYl95i888dIv3Py8v\npUTzp9sET7/nP3qOZV91i9ffDbzu+ezDpp2B/5m9aCwVQl9AsWoQgaCRhLLQlgWeZcg9XQaoKgcK\nrW+JKXEQF9yQjk48vSpTXRARvCojqbggloYRySbq5Ai95bp2HMYOUeFuGSHqaFU50EOuphbRiKhy\n3Xt8UowusHGLBT3GRNrQ4mMuIxz5JW3fE1rPshIOEyQn7Ioy6XOt+7gXliVK/egRGwBxOrW/0Yu/\nUt0bTPJyKQS/AfBXkWpcv83y7Ki0l9LjXpflJVo25BGxorzc1LxqMuaDVeKjI2BmspMwAi4qb7XQ\nJcUBY0zOmgtoUraR0oEBI4V3PwGPfQKoCu/gKfjtZ4T7vwD2tmv+2YfbzLuOgy5BnQfXqGTqvyGX\nHgxwLPzAw9d5sAGmTT4HWiLnwbEZIntJ6wjerpD9RKVkxfLfjJY3g++0sUw5WZIZsvObg/WG87yp\ns2OAccWffs39OKNEs+CH3zMtJQjDSy5a/vafuIeHLy/5ofdO8a2wt6V81xdt8daXXWBvZNjbakAt\nzlmqymCTxbmE94G2z6WVPnbYJBh5Xlj1+29nCn931D4dbf9LAKp69c7tzpmd2c0tR/seUcWJIaFE\n1UzMo6WLHUmVRhswiV4CXWjpU6CNLQd4egnMteVIl/QkVIWewB4N53QLb0A1MvYOVFnEBVNVtrBs\nU+PVck2POEg9Xj14z0HwLFWpU0cVRsxtJHGAD5Eb3QFt6gmhZ9nnCatehGUl9H3GyqpXOgxHapAN\nAn4FOepe2QY66yCjt1mMHwBfAM+Kpb4C/biu62+ubohOA7lmH2x+zxAlVxZ8cTRSDbXhrXsWo4bj\nCPca4fw+uH2lUrAoHXABk1X3FBThHA2z2CHAoSr7IvzSo3B1QZ40OGQZVuUI5ec/CSw9TGvQat1T\n72B1sgwZ3JNAWxdegmNx6XRaX9fEPcqxDQp5cDINfzriDMM2b3I5+o3TfxroK/iah+AXHuGkblJP\n2ZeSDhDh7371JbaahpFLfP3rtvja11zisaMlW1XFubGh8z1/9KVjfurlW4ydY6dx7GxVVFohtc2J\nBZXs5/SJWR/oNBJDxCHYUc3IVlQORs2LZbLPmd1Jux3bX4D/HvgeyiNERAKZqPDXfw/278z+kFss\nhL6I5pY8UqntB6baMdWWPnoarZgYizeRZepZhp4u9iw0ccScKZ65eubaEfBYNYxlzAVqKmlIybMV\nt7AKh3FOp0qF4xINVisOdcaVOOc49fiu40gjfddSAdvsMBfhhn8GvwwchQXzPmRoThk7WiOrHnXx\n0KScnzhUw5gM+PsMejQmp58NnOgjp6xwZZJB0JaUvqT1Wxzr124m6zsAv2UdGSfNEXUthfGeMgs+\nuuwUbFsubRt6Va4LbIkyNrCTlKXCRAw1WUBPqRBMjjYVntSWd3wceFrW9fYkG4ejpc3QQKry9q4W\ngBTNmQhJGyz7Evn7et3uKGWdwP0jw3U0H6PIOsLfjOQ3pQ+GcxJYyxRvnGaWZH0DYd0W2Zbfh6lF\nNSvgf+U5+HNv2GZrVPEtr6qZdZF3fOwGv/A7rqTuYTPt8vDjU9744Hk0dBgRUoo8sG1ZxsgiCttV\nzT27NaPK4qoasZZGFTUQoxJCpPMpaxn5gHWW2lrGY4eYBGJp6hpDpHIvkoj6Dqb9z+z2kf9fIRMj\n/qiqPgpQ+gj/sYj8FVX9oTu9g2f2h9OyWE+iI2BUc4+4JiJZue8gzeiSR1JW5MPAQVjSxkirHUep\nI5pES8+heg51Sl2ezBUTzqnQyJgepYlQUePjgqc1UFOzp0rFmGvpmMvhgMPO08YW37UYcTSuYstr\nVu6Lxyx9T9svaAu4OANzhZlm0B+4dHsKUQ1LMZzTTDIfl+z19WDYtYqTRCWwO4LjbohcCxoJrMPj\nlNn1mxUBo7lFbcCXnjWwleRABrehCF08gLEt6f4AsckiP8HCzEJv4EZ2MK6KcnUCvFIZCWyJ8CYn\nzAL80hUgCG+9Fx4wgSCCVWWR4B0fEDgiR9uetWNjXEnN20wgVMnMN5Pyyep8TvcPUXIqtfAhhY+s\nwTQOTgVsNfDyVwiPPAa0sj4fQ0q/5yRhb3gSbmZGNjsjzcZnp5yclTA0XLVADT/w9XtcqCu2XU09\naajUsD9JbLPMHIsTG84tm6EzEJQUlTb0iK2pgXsmDmdqRmOHUYM1+TpoVBY+EDSx6GPuwjSWSWVx\ntcHaCusqrBGcRIwIy75l0SYCwt2Xbv3de2GYnKX977DdDvy/E/hqVb02vFD6CL8D+AXgDPzP7Hfd\nQiH0RU04LBElaqTXnmnquOGXIMqOjjAGFrTMvWeeWpLAkkgwkas640CnBCTLwYqwHR27ZoSKhRQ5\nR0MfPFdYIFrRaMIhXA7HPN4+xo2uh9iRYmKMxQHRe66lJbP2BpEM3J1kx0JTFpabBmGGlNIEPCRC\np8KxGu4mD8EzBb/nFrYFLmwnamAqQgC2G+W40wwqqzrzEOHrSTAnnozoB7Ab3mMpbHYDJmTAbQRC\nnXciuQLMTQHTArBd2eYOMCdnBzqBjwmtQmuFXxye0T4f0HvmmX/3CqN8JAjMJUfII2BZF+ekhN1B\ncrRvquzIKFBlh+aLz1e8+5lq/Z5VG95AuCvp/uHkDKl4C+95XPiyl8AjwhroT9sQ3W8uG87XraJO\nIUf6S54l1Y+xfMNrHJ976SKucAGeOV7yP/38IY9fL5+vzMYHB+IevPYlY6JGbF1zXhJGKlw9YWRA\nJXMnkiqLNuB9IGKIURnXhu3aUhuTMwLGMq4UK+Bjz3QZWbQQRKlE2a0tu7XlRWFnkf8dtduBf7UJ\n/IOp6tUikHBmZ/ZZ2zDYKpb2vb6gmABLDSSUZfIcxGM67amp2dKG3iau9wtmaUmQhBXLAQuOteOK\nzvCaxWMSiXGquM+MmBtLS89WaDBa8UmO6ZNiU2QclCv9lMvtoywiBH/EhAqVBlHhYHZMq54lMXeE\nAcuUyWtdgusqdKIskkFQxii7KlzAsFBhS0pDr4A1Bu8S4wDjJg+Km6nwCQ/HSYkqWAzNfqKbAbNS\nkB4eiAKwEfUP6eqNpAB1ed26zBgXzWI8vvwdSp46mTwyVouk7QDmiZxu71nXyBMwkXXgmiST7SzZ\nSQgZ6OOB8JEAjE1RzUsZ1CsDR3XeB2tzDcQoVCWXLgJa8dKL8GdffTfvnt+Aa2U7atbbXAH+QN6D\n9QAdoIVfed/GeRkAejDHSdBP3Bz0T3fZxXJeF2V7zpaySRY4+tBVMDFPKFy0ie/610ewKGN8kQ3H\nTFbrf91F+PKX7jCaVIi4zK3UTKxcdFkuOhmDNQZionKGLWNxzuGcpbYmT0nUyKxreWqaeRfOwp7A\nXbtulTnpYzrD1DMDbg/+zzX78Wwu5Jk9bxsAfnjwpLT+WwT6FOnpURSHI5FVyvrUcawtB6HDJceE\nCozhSjhm5ntajUSTSEQO0pSrOqMnYQiEqFRSsZcEQ8Pl2LIjDTY1XAkzligmJeiVw8WS6xwzXeax\nP5XPPLfr4RCPw5dCr2iWmp0ieHImeJoERQkISWEbZR8hYBiL0AA7VQ6agwhYxZWpeIcKT7TC9aRE\nyXK3uxaaStk2kUoUnSi/NSKDoIlrYtkmK30zoBywMRawHBkIVWG328zcjy5H+9GdjIAL2Y4kcKzr\n1GuS3J28JB/IsA0lR+R9+SeaUWeUMys4mzMOqVqz7HdsromYkN9vZS2oo/n3xz6l/C17wNvuMfyk\nAf+E2QB6XTspm4A/BNNDzf40TWJFJuSk07SJhsO53QyO0/C+gVtQZTA9wckAInzsmuHdn1zw1a/Y\n5/2PzrKTkza8jgDUMJrAPVvwza/a4hveeDfNCOgjVaO0y4hXMFYxyVC7iGrCSUWz1dBYQ2VASSx9\n5Oqsy5knVfYsXNgSqnpEVENKiT4pkgJtCKSoHAR46bNGz7zATDlL+99hux34v0FEjm/yupCTeGd2\nZis7DfCqum4tl5KxLstMUUNLKdJrJIlQqSMSadXjNTLtW45ZskhLduOIkam5Gg45xjOnxxIx1jJL\nHU/qMQe6xGpmw3s17ItlTycc01KrZ0dHzOKSg3hI8FmYZjldciMcsIyetp+X57zFqRJJOOBYIyrC\nkcJUBUsh7iF0KJGs6OdQ7hFhpBYxeQKdEYhReNorjYBXJfaQVJgJeFGcg7sN7Mb+ghsAACAASURB\nVNhEEnCSsgQxsCMw0si5fbg6gQ/NgAPWvfkDuQ/WzHNn1sx9I6Auv5YUYpWj/FCuxCptXYB+qbmf\nfHAeVhFzuZArYpwp7ESbOwmMQu1yvV5KJkE0K+tJcTiclhshZUcBk/ctld83yYgqPP6I8E8FXvMq\n2N1THovw1CGFCMj6ZjqtfzOA/aZ8bk8hC278PZjl2U/C1bGWecAq63bAoW//RP9kWRYN7/uo5z9+\nTcNT8/lJ4N/Y9le+vOb7v+l+jCS6LjCfF+evU7Yay8REnK0QqXAu+2/GQOsD0x66qCRRxipMGrhQ\nWUw1wsdISolF51GgawNtyOddrFClwM7oRcL2P0tR3FG7ncLfi6Q4dGa/l3arKH54/g0gL5JBfvX4\nExgGZ6gqXQzksTcJSbIC/s57DsKMKS1VHLPHhCUdT6c5N2hRYCIVMzzX45xnOKRWEE15rowaxhha\ndfiwpFLDDV0wXV6n7QPdYoGfBw7TlBl9zowXYrhTcESOgRZDqzlYWyRhLLkvfYHgy9HvV4IJyj0I\nwVm8z8e9iLnU3cEqUnaQdQWMYhzc5ZSx5JpuS8KSa/6ZVB5LKSG31i8TyBClDqnoASwDOYU+1kLk\nK5PoqhItB5dT0709cZ1WEX7STIpryYAPpQ0urSPo4KAPOYVNibyNyYAvDStvZIiOCwkzP2GGQvoA\nklVeVuWWSpbDsWzW81kB+oc+DG99lfC5Ft58EZ7ah4evk1PvE7LG2mndmtPa+bBm6Vc8G/BXHqvL\n+47m362sd39oG0xk58oNPIQNM7C/W7HTCK+6pwaz4FlWw+fcbbg+z4zCsRjGtVALmHGNcRWGmJsu\nQkuMDYd9IsTIVmWwJPbHjqpqcEZIIRCSEvo2cwKi5tHIIowkslVZjBMiNc5UWHsTh+SFaGeR/x21\nz1jkR0QeV9WX/G7uzJm9cOx2afqbRfErTLmJxnlKudaoqnTB04onipJCQkl0KbD0gUXsuaFZx7ZR\ngxPlGZYcMUeJ7BlHEOVKmnJZDwmpJ6jPWeQIVXJEqenUYyLErudJP+OZaweEkAVjIy2dKp4CyAXg\nI5nUnhCy+j94zT/H5Gd+KznlNS4Ppt0gtGqZAqlE3jIEthUYD85BgxDrLNTmBAxapG8Sosoe4DUx\nTcqRQh9zObxzMA4ZX10iA14gA7aRDPBGQatCnLP54vhSi/alJW4T8AfluqUU4C2AnzYAP5GzAyLl\n5GhW8EsWWptBd+iXp6T2tYy0NboekjPcGFqVG8esXwu6joyTWZcTBhs8SOBDPXzLNmDgkoOX3wcL\nhesB/sNlcn/hEP33ZEfmuWw1x2Co2ZvyUwoXQdcOxCBtrJT3wX/6Vsv/8r7T3kW2L/+8LZ5ZBN58\n/zYXtw65NkxOhlXG4OveeIHztWCrBmNcbvePASGrSHZBmKdEo4qrPCPnGO9uQ4yF/Aed75n2kT6k\n/H20liolGiuIEaJUWFOTkqcSoSny1jHcjP34ArSzyP+O2mej8Hfmlr3I7VZpemB9dcvfzwfgN9eb\nVHPmOCZiUpDM2O9SosMTUyKp0KunSwEfOw50yVI998oOlTimLLnKEQuJTMSR1PJkPOYJPWSqgT4t\nMcmxSJ4Jji1G9BqZzWccHR5zEFqO2iWGHtEcTnrgoDzXVddt2gugQogqJZEreVZNOeYWUBUaBzEI\nExU8Bq+5Va8HpIYQyuRYC84KjYVkBSNKDSRNWE0corkEnjTnPgIEX7h4KY+mPUgw7jP2VEuhH0bL\nWlvIfDZvVEp63peIOxWC2QD0UtLtg9CNB5YlzR7KidDyc8CzRQ02ldY0C11VWgAlg/bSws6gkFfl\ntIRZ3UkF8IvijZaIf2NxVucbHBfWn1VYDcjZyKofxUx58Clfi+Mefu0ycJ18TqY3uxFP3cvDT1/O\nmZHyk7yh4fgD6yzE6oMb9/scQtfwI9+6y/f89NMnNvldb2344ge3SZKYziL/4Jsu8I9/4TrveiY7\nPl9yj+WvfdN9XNgeIbGD5EkCoTeZDpAEYxO1g716CyMBUaVxlmUI+Jg4bHs6nxBnqVEciao2RDFo\nqkkSqUQY10IfE8Y6ln1Avad2lsqeoeqZfXbgf3YHvUjs+abp4dMD+WHdqkpMGeRj0jJDRUmxRCQi\ndOrp8BmLkhI01/pDingCR9Jj1PCA3WeZPE/qdY7V02AQhMfCEU/oDWYSMX1kph0qhgmJc6FiOpvz\nyf4G7Vy50R/SasQgBM3T8aZkjpmwzhCPtUygRZhIJut5BCcD8VuZlQe/aB4Xu+uFJAaVHPwqGXeS\nyWJ42xbusYJg6GzCJVhoxEc41oRHWSSl7lPO3DtYlJS+ANbniLYiYytkp2FbhJEYHhsLHI1KTZ28\no73L4B4Hwf4N4HeanQIBvCmKQ+VktMOFdhmIIbPylfyZrgFtCvaZLP7TAZNUpvmFfDaTZyUwhAVO\nRfnDnRcln/y+3FPV4CTAEFHjdc1jGMA/wnYNBx7aTNXg4afI3IdNOd1NrB4+31Mcn5qV/J7Tsm+l\ntrBSOTQ3WdHmzU4uMRjQFHjZnuNn/8Ld/PqnpoQ+8JaHtqlNzeWjjhATdS3cN7b8vT/zMqqqpnaJ\n0Hu8Kn0f8ZJT/lUUJiOozChXQ2pBUnaWlz6x7DzLZcCNHJUIRmF3bOhjdl5UDSElapcQm8Wjep9r\n/aO6whpld1xjRGhG1eo7/oK3s7T/HbXbKfz9V7daRJ4udGYvELslwMNnFcWf3kaMkaSaA6SYo9ek\nCVRXwm0kzSBvhKCBoEoyilEhpJA/K0ofPTfSDBAqFYwaLscb/Pz0aZ4+OuRlW9u8bG+HJ+OUmSyy\noElckme8N4RpyzPtnOOjQ3zoOSJjU1IhIuyTU+irwy9gPybjWCvCjgpRoDNCVUD/MCi+sPUb8kS0\nfRGcMYSCcbbOwXMFXJD8c2KEhcBMYaYRF5TjmDLJL4BJMfPwYg6+W0DbXAaoFLZKrXsisIsyMoZ9\nZ9iqJpxz+2yZmldr5McXN3LUjynR/0b0PPwc0untBpFuANYZMC9sf0KR8S1RcMxHTFXq8kEKOVBz\nFqDWXPewPrf4mSEqHth0dnUPwJBikawNQNmPYTDOcN8V4ZqhR39FZFRWdfo3CbQ+O0ojQwb+0/1G\nWnbDCkg5vlrWZQxMTvPEEtWHYd9P3/83+T4oRecg7+NXvHGbiUvUqrz+njG9Qt8F7MSz7xrqScW4\ndggR7yOtjyxC1j0cGcfOrsNqnXWOrDCqHV3X04fEwQ1PHxLWGUQEp4mdSY7iE5YohuQTtS2lHxG6\nXojJYJ3BSmKrGiHW4GoHmrAIvY/0IWLlRZD2H3gfZ3bH7HaR/85zLPsHv5s7cma3t9MAD8+O4ldl\nVpEVGH86IJ/SmjkVVxE9OapXRUTL4zKrkYkxGJRoBFTRpKtt9xqJNmVHICZa7YlG6XvPNLbc0DkV\nDkfFNV3ysf4G3/fu94L2uX6cfL5Dt3Mp+4vvrbkYa9plz2zRc6w5gFXgyRK13w9cRAlkyfiK7BBs\nAxeLmmovgrNCVOhUaCPMIyxRVAXFsCUwQdjHoAipyljj66yNI8AlCyOy2E0HXEmKSZpn1adE7MFL\nzC1+5JT10O7tYnYCiHm/l1a5t1LuqaByDffLHjsujxWOps6cviQ80l8BP2JVnynp8q97ecP/faXP\nwO5l3cIWdd0SqAA1TEvka2ElpWtzv0JmnZFZhsRMHBzS+KLZcxruKrMJ+Bs5/UQ+0G64+zbuu03A\nF13X6QewP89a6598Ad98KUf8E+AuBxcM/NoJYBg08gslfiAdbm5vIOmtCHo3+y5svHYaeHpWfs13\nfqHB2cQTB0uc8dSu4tJkm9rm4UwaE8ba3K6nwqQZYR3UzuHEIhUYMfi+x0c4WvTEmL9fRgRHYlIJ\niYjaBh8VDVAZJWqgrhuCFzCGqIlJZdiuKqTKx98Yg8acXVMVNEl20FGs2PU5eaHbWeR/R+12bP//\n4fdqR85sbbeK4oeAaXPhZxLFbwL8qisqKiml/NwurHnIQK+quWxcAD4OO2EMooopXVxJwVWWSKTX\nsNJiCSGwiB0hRQ7CnKu6pFPN0Xf0HMmMn338E/zcJx8tO6QQ/TqtfZiDzHdd62G/594SlNbANYXp\njRKyW+VxhcdreO1OxrGxwjnAOWGZwBphXpjlU3LPfiztehbDWDI572JtWcJKRE7JEXnUjDGo0Efl\nRoKAsvRKFxLHKCnF1cz0lArPXUFT7njbVTjwkvsFB1Q2wu+o4yv2X0JFQ6eBTnKb2Th6HBUq8I6n\nN2R+y36g8PM3PH/zpZ/DFd/ywfl1HjvqCa3ivGMUG5bzxEPnA3dvO34euPaUhVhnAK8BG3JkL5od\nrypfXwpfA69Qm8xwN8PGh5uneGA5pXNy2bCzQ3bC6rpHf4jIN/wGjuGrHsyiSZ6Mt7smt0LujqAy\nhmosWb3mirBuytf1QCKR9Y09eFu3ZLjLetu3suEyOfhTr4Sv+/xtRsZgRg1j20AUrICaitpZbAWj\n2mCMoaoc1ljEKMF7fO9ZLALzLqJlxVaE2kDlhCh5JHRSAY04E2iMzXIJCiMrWBFGY4etDM5YpPA6\nnDOoCjFlEq0lD8CyzmLFZAkEC/JiiPzhLPK/w3a7tP/nAZ+jqm8vf/8QsFcW/4iqPnyH9+8PrD2b\nbLd+7VZpetjQM3metXjYeA6uMD8/dGLeaK7Tl51IgMYiv6r5PdZKbtFLGcEq50hJESNIYcUjQm2F\nTiN9CnTqCUE56hZMU0cg8PDygH/0wV/jkcOhUXoBrs8AFtPQC3cyWDyd/ptCcy73v/cqTK+xTncH\nMmi18Nua1/E528JdAodeSkeZsCjBcIfSiGEkwsiCFWHf2kyCtznD3ZFZ9gFoVTgKyp4IT7aKR7Eo\ngYgnlslquf7vN/T0DZkLcFctXLBK2yoH/RD1lqd6aADHB5bXeMP4fi6ZCVUyJDMm2oAhkIwpaWdZ\nA60CQelvKJcemLBthS17F6/eU+pmSZemTFPisjO8/2rD3rWGLSzXKs21Bl0W5T5bVO8kMw61eCvG\nZlXAcQF1U0L1wQOMZC7BcME2xXUol3lz5PDmjPuTt+Nqel6XYN/AeWO4awfGtRCNENVQKYwqy3f/\nEeEfHeVjz6p5Zp1FGAiGzwXszxVVnn7/sM8CD91rqE3NxAquqRlbR1MZRlYZjRpUbPY/NDuBvgtM\nY8902eUGipSwCmNXYWwEcYSQaBNYo9iUmFQVYhOGESI2Aza5fm9UUGtwJqtEJtXSPquklN0JU6ST\nDYmmtvl1FXrvaWeevk+c25vc+vjP7A+F3S7t/4PAD2z8/SeA/5acgfvvgG+8Q/v1B8KeT5o+R9Y5\nTf+Zku028XEA+CEAylG7ElICkdwPnHQV/aeUEMnyoEPa0VopDxVw1qJJQQTrcoQlItQ2H4u1Bh8i\nHs+NvmfZ9yxizwLPNPVISnQm8ERa8r3/36+u68xuxgpEBsW2IT29mQrezNKWTMA1hW0Vfmeq6+ix\n2vi8kAlsUflEL3zCwv270JF7qTtR9q2hdkIoBL8tZ4mas7tOoYu57U+AoxY0ZSenU7gqkTFKSyCl\ntYruinum0FQwdnAfwj2iXFfl/VPl40pOHSTNKXcpWvpGwVueiYaX2LtoUw8SqCqopGLMiF7LkJtA\nBj1TvJMOkIYPHx6iqefoeM5vfCoRgVfd5fiVpy1Xr45AIletAelyFD+0Bp4eVxso6X6XQbUy6xsr\npA3Snqwj+KGjYOjtF9bSupsDcja/DJuiPmUHXrsrvGVHGE0EYw29h7nPkXRlDNuVYasx7G5b/upe\n4h3vj/zmQnjlCD7vnPCvPn7qO6Onft6qSemmDkLZv1g+p5Zve/P97I4rJpVla1ShYuii5OKQiYTe\ns+w9RwtfeDEJo8p2U2GMouJIqrQhT40kKE1jqYySUkVVFfKeqaidwVpLVdvSrZLLaWIzOVJTwkrR\nURLBGsGUDIemhPeJo4M5nY90ERadxyiMmhdDSC3P7aCd2WdttwP/e1X13Rt/H6vq/wUgIv/Zndut\nF5fdKop/rjQ9PD+Qfz4AD4PSaO4dT6oEBR9TbrUr70Uz6U4kp5+VDO6CkKLSWEtSzcGfyfr0RmTV\nOi6FEZ9iZKGpMIojixSYpZ6ogV47epPoY0Bc4qp0zDvPOx95JEvM6gJqv/FQZX0AQ8Q4aKyXGv1K\nrjWnGLiIcnmua9W2ob6tlJ71gtq2XIAoPIHygFO2kmF3S4hWMBEmIQ/rWSr0RUxnusyrDpodgcbA\nLCW2jBIl4MkZkuE69ALjPOqebYFzImyLcpExQTwfnHkuT6XsmwBjViNmh3a4mKP6S1aY0SGVYVtq\nDBWNWpIYtqXhzZccDz/pM/lseDgqvPF8hfgD3vmRwIePLbQVJMMHny61fddvyNFWObo3ss6aDIS4\nMLTAlXUHk1v+AnnMr5blg5M2pDaGG3pw3AZPaFOCeLi2Qx1FyjYlOxEP7Arf/mphuoRFAInCdm25\nsFuzZQuHRBrUGrat8IrzcOELlnxLzNoM923XLPuedzw+fHk27q3TSnu3AvvBhsxEsCCO87XlZ/7z\ne/mce7ZISUgiLLxHQ0vXB6Z9YhkSGhMiiZGz1CJMGkMyBt8riEFSorHK1tiRsGiTr6MTQz0R6qrC\nWSGlhDMGrM0ZtqSgkZRAI/iUu0XEgLMKSen6yLwN9FFpfSDG7BkLSmUse41BjD1R9ntB24vBR3kR\n26dF+FPVt2z8edfv/u68cO35pOlvFsU/nzT9aYAv2fj8OVk9G1frsuXhkDRH8TFpHthR0vYiOXXv\nRHDOZJ6S5gUiZlXHH0qhCaFyBmOEUtYvz2VDCJE2RHyKdD7iU2Lps77dUgOegNGEGrihc5wVuq7j\n8bDk0YMDtk3Nux//KP/2+jFUhZ49qOtsniBYK7BtRvuDDX3qKPcKfLJ0ma3UVaPJ9WSBE2QvKSdz\nZnB3Q2iFJoJVS4pwI+TIMmhu2TMpo9KeyXwAV0hWIonjxKqWXzWZA9BI5sDtilCjTFTZlZot0xBt\nQ4Ph8tE10CYD/SolY1eAv7poDv7Y7kNcNA0jRmSRX6E2jgZDGxd8y84DXPbXuarHDFK5D2zXvHnP\n8cmnEx9+pmQSnCnT8coEP7EgqQzoKQ//FHOvYZA14KsU/fmSVemGXn7yelaAuul1bvwbHLrNiFtl\nw9Gzqx/f+IDho8fwwA68fAt2J1m+d9wY7t2r2KvyLPpjr0yTZSTCNp5lcDwx84QEd22PeXCk7G7v\nMes93/Flu7z1cM57P7ikGQtf98ZLvO2fX+Wmpqd+PwE2xRuVhh/5M3fxDW/aJ/qe+SIQomfW9ixi\nouty+qJxhrGtqMYOUSH0iegsfUy5rDSGpAZjc+re2Kzq11Q1lVGMEzQZsGa4FRBRfIz4PhP7UszO\nvbERo4aYIrN5VvTzPuBT0WWQrFXROIsVSx8zj2fhwUqkqV8ENf9V+ebM7pTdDvyfFJEvUtX/sPmi\niLwFePLO7dbvj90sTX86ir8ZwMPto/hPC+BlvZ6YEpoyez1tpOxTifCHYK4yWbubUoUXa9fP6bIh\nsYIWdTdrDNYIqmsFVgV6H+hjHgLSJ6UNkVgcC1QzSckkolGQhGjg564+zs8++jGOguct53d578HT\nPBa6XAs2ArbP9eXNev4A3Jsne7NUu0r7lz+Gk2Xh6nASLRno0ML52khFD61jmJKCFmyCqJbrixzE\n9sB8I7NQGahN1u5fpkA0kd7kyN+43DFQm9zp1pBFgRqULVFGOC6YMRO7nQff2RH7OuFynEM1KWny\nIrvrKXVqWQ+QsYbvfuWDvEIuoAIVhooKUc+1bsrH+p7YdkTpeNsrJxwFw5PXl1xsai5UY8ax4uG2\nzZG8izkjkkrqpLIF8Itnt9L2HyL8kjt2ZbmnRO6DQ7BxgU7jxuna/er1AfA3+ACQywgCD23DG+6C\nP3IRFj2MGsNuIzx0cUJlYdFHrnSK1QyeEyccLAIHwF4NLz0/4cJkQq+Cj4Ybbc92U7Nn4IHt83zp\nvZE2wWHb5+OpTu8fz7bB+REHCq+7WPPT3/UgVpQr1w6Z+Y5lr7Qh4Yyw31SMtmokZY5ErIQ+WCpR\nXJ1nOeBGpT4vbI0clbFUFYjNQkxipcwmEnAJHwIxCHOfiiAUGJtWqpqt90RVlq3Hx5TLiNZgYsQ5\ni4opZEFl0StNBU1VMaktVWUwknDms5F3ObM/KHa7u+C/Bn5aRP4pMJD7Ph/488C33cH9uqP2fNL0\nn24UvyLXDTK2q/WWz5wC+M11pEEoR3PfvJKBPqYEUtrtNPebI5nta0VK8JXJeFqkUY3kdLQMy7Rs\nS+SE4moCOp919IMqy6S0PkcNKQRSijgjGGNozJB1tywIdMkz71oOYuCv/+av8v6lz7lI6bn89PWs\nQBcGAlmXNzik8od/m07AcCqGE6zDCdM1iNv1OjJJPhMSVyndQcI2XzRWoL+axGa4uoBp2sQApZE8\nlMcgiHiijViXI/qUM7VYSscA4MjM7HFKjEW5x+xzV3MOW9ZSq2Fbx4SkNLZhFNs8TAezngxXjnF7\n3/CX7n8FUQOvsvuI1FQIIS44CHOuec+y7wi+p3YW1zjiQmm7gPOOV9ptarfFeNKgwRPsIrc4qMtZ\nkGrjRlZTau+l1SvKBi4XwPcbbL0h2j+d1h+u1+mUbCmvZGeMddlAyCfxlH3F3XDQGrYmwqvPN+yM\nGuZtYB6V2czjVNhtLG2qWGig6j0HreWxRxOqgU/1gbFZ8rVfuMUrLzZcGG1l8RzvuTo9okuRbtEz\n9YlBKOjWVogKWna4RJ3/8Nt2eezaAdM24axhp4HdxnF+nEkN6iyaTBmtEKgjJCfU1jGyIyaNpalt\n7tc3Bk2y+o46K4gkgo8su1yf91qSM1ZxNpcCfAy0baTtPT5mXs7xwvN//PIR//q3shP6Z7+85k9/\nfpacqp1lq7JUlc2lhRBQFRZ9ZLlQ2s5jbcc99+w/1wl5YdhZ2v+O2u1a/d4rIl8EfA/wtvLyB4G3\nqOozd3jf7pgN0rPPBfDwbJD/TAF+09nIQJ8j+hWBvvTgDuz7kHIfMJL7hGubCT8i+SGS0uCoKFlf\nR8FkoE9JMTbX60WLAI/k9p957+mL6EwfE1FT1pcv02iccwXtcuYgau4P9qrM/ZJD37HwPTd8y0J7\nHp0d8f7FDGwEbbPyTSjDXao+H/EQwQ9R/xDprtLdbETxw4ln/dnNB3dJ758X5cltiFNZg9RwETaR\nKsl6rO0OHBdsG0lupdoXg6+UCk+0ibpcuyk5uq8kR/oWwSo0JC4aYcfucn91nq0y8c2rEJJnhMWZ\nSU7Vo1QJ3lC/BNxRVvRJsFK9q5XvvO9+Xm3PISRmYc40LTjse0KKpG6Jc5aRcaTKEb0wPV4gAZxY\nJk2NqwKaOmZzxYjhjWPht51kBJHiHA3qf1o8uGFwzjCaEC3OkZw8d5vZmeHmHU7xcJ2GTMvQOz84\nNptgP3yukADvHgvf/HLDQ9uGvd0JtJFp8Dx9bYFEqKyw21SkGGhT5Hrr+J9/VZg9AWsVwfVu/ruP\nz/kLX7jkK9/QM+t7Dqeerhx+7+G3Pgr3W3jCc/LLvSKZ2I39zDdlZSz/5NsnTH1g2wiXLowhmdzF\nodCFiJOEiYJxlq1mTG1gMrKMRlX2d6xdgb212fEWm/AhA/1sDm1IqCYqa6htlvBNKdJ2icNloPUp\n82u6QKfK+YnF9/DtP3zE1SNWIkd/9+d63v+RwE/85ftQUXwPfVSeudEiJAKJ2jhG45pz2xXV2WCf\nM+N5yPuq6hUys/8PjEmpicGtAX5Tn34A+FUw8xwAP5CXY9JVXR1KG86pjEMMuaabnxYZYIzJkSUb\nQA+KSnZXQogYZ9AC9IIgGeVLllxKOjDR+p5ILhW0PuDKjkcfsi64McQIWrmc+UiJoIkuBjQEln3g\nOHjmkljGHh9ajvoFSuRYW37u2ofJ8+VTTpXGUkOQEu0PpC9hPUhlOEED2Bfy/9obYw36w7PesE7v\nG+hrwaSszHciva9kwB9GxA7ZhQqolW0nVI0wUoimy0J1w2YlK/NNJCv2qcJYhB1JTMSwQ8XF5hL7\njKlomKvneuyYIIxkxHmzx1gTRi1qGmqNiKlB4Ptf+gq+/7FPZN1eFAJ8zYMTXs8eT/QHzPpASB56\nj9Y5Q6CVo5939NET+oB4wdiKrUaQlPJQJK2pxEPsOF4GloNsbihIOzgaXtYH2p9OvZTztCqXnPqy\nnHDIynUYptudWGDWX5BNx63Y976+YnssXGgMlWvo+44nrreEkIf77VuhmgjOCCEIW3sTHr/S8bf+\nZTyZHdo0FejhJ96l/MSvzmEL/tj98LYvHfHJpwN/452hpLiGe6DKNRwc9PAnHxLe+SRkFC03ZnJ8\n3x9vSNT8j//7lA8shNeN57zt60e8/r4xTd3QVA0fudrxL39lwY3jJV/3xXt821t3aHvhtz7lefC8\n464dEKcoQtd52l5pQ2DWJrqgPLBv2Zs4NAl9SBzPO+Z9JIVArzl55r3hB37qBu/8HSCC24dv/jzH\n1Skn1Q1b+LcfTfzy7xzzyrtraic4sWyPLaOqpnIW54SEy3La8Yzwd2afnbb/i9ZWz7FVHfszBfgc\ntQ9ROJDT72UjWV0rP2xTSemv0vFAVZWIHoEC9FpS2aoQQyx6JTn1L+QMhQ8pi6MZyVwqVUKMhBDw\nCD5pbjEygPckoKkcfVI05va8mGJm5IslhEjfdiz7jtZZFj7PBO/9kiiKTz3XtOcnn/xN3jfzIIa7\nt1sOfJGGjSWV7E6l+DfBfMCazYswAP+mbTL7N1naA0I3wqMt+ELMQ02ZPkcO94YLt8oyKOwaXrpl\nsNIRNeFMxuFpScEaYBfYFfJAFEmcAxoz4ny1z5gR+7LNMmWJ4WXyTMRxr9mlUUttx2WXJUeEGGqp\nMAhWKra14sdf9gV8PN3g6eV1LtRb1KHh8vIYiYkoiZQEL4KZdRg3Isw6QEqNRQAAIABJREFU2jaS\nnGHLVdgqEKyQpCb6OalfcNQJhwGuBOE90dJNyXK+yHrefCLX88NwEcpJXtW3y0ub12nzd8jcgcFB\nO/ENKttaZWrW935+rXgcYnnJnoWozNvE9UWLs7Bbw/m9/B5vHSnlYTR1I/zaY5G///Z0YjMnb55T\npsAM3vUReOyw5/I85YmFpRyT5xtY3rQnfOHr4Utf2fBj/88cjsjZIWNXHQ9/850J+lkZlATvFXjv\nj7f89F/a5ytfu8tPvmvKf/nPruf7LiV+6eMd3/cvrtDNSp2IyJe9YsSPfs9dWDFURjnq4L/4kav8\n6iMtCOzswd/5ti1e92BFFIPVhJU8dKcylhiV7/vfbvCux1kBfbgOP/Xvwy34CvDhy4k//uptrMsK\nloIlaC4tpF5RF7NIUmVvsoIXoJ2B/x21P5TgHwpAbxKWxciavc9JgN/Md66C0vLSMIV0mLCKCDHG\nE7XOlMA5kzlHSTPZp6Tskbw/6n3ONBhBY85A5qg+i89UdkhPKoji/3/23jz6luyq7/vsM1TVHX7D\nG7tbPQgkYZDRhAYQIUaImQCWICArsWxwWIuYYRljYUtEJCh2IDjLDHYgcghaRjgYYQMGYUMYIkuy\nFmBLzKQbCyHUg3p+7zfcoYYz7Pxx6v5+971+rX5CetDg3mu9d4df3aq651adffbe3/39pkifoE+Z\nISZOliUpo95hNBVBNjEn9X2AKLZo2vc9Qw4ssjLEXPrbw4A3QkZZS+Z4WHEwrFmmjv/14Q8W2TkJ\nQOChlR2jcT8iyjcz1DhUm4HagPq2HbqBm+cFJf9HB5xO7mn7+dYqbJOutgqVYnMRztFKOKHh2zj9\nk9YGwBjkbOLjq4EgnLQ8hvInzlJwiM4IFRkPNAK31LfSqHJedulUqNWySh1OZuzh2TcVrpohIeKN\noydTi8ePKQ0jHisGqxE00eUVh5qRBDdzhqoNJLpSLugHogg2CXEd0Ax5WI2ob8VpphsE6QXVwKUc\nOcqwxtArfCAZPnQPxYFtvqCX0dlfBagwY1Zk23deq3a/WVRZStS8eW/EnFy57dVR/qbMICeAzefM\n4aHDRDRQu9LSN60tAUebFG9h2SZ++TcTv7+Am6fw3j+86ryuGfpfw6Zwb6ell/WshWV1KiQ0wPu7\nxBufP6OqKt51eTm2X5orWwHXXAVktNAn/scfOeDF3z7nm37koTGDUrII2kf6frNtuYjf9b6Bv/VP\nH+atr7+dth34vG+7l0cuc1LCWjwKf/PNK37qm6c84/yEFM1I4eCpsTzaDrz7bq7kSIBrO35Kxu+T\nbt/DV0JK0HUZnCIqNLXHO8F5h7PmekfyKftzbh+R8xeRqaqub9TJ/EnZpv37JP0+OngZIxgdUfSZ\n0u+eUnlv0+mUxg+LgJES1YMUrnbAWXOSShBTaugpKVFLe15OZcM03oYngao1WARRxVWluT6OYMB1\nHwhZCTkzpIyIkmPEGlN4xFNCEbxzxBAJOYJztENAEIY4sOh7ehWGGEnW4PoONQZrHY01rNvIQQos\nYsel9ogVHZcZ+I/5QyOLW1ccsMopGs604yCOg7lxwCeDy+kiQMqgvmB3DEiB23bhvsXWIGxSykZg\nunUso+CK+l4tgq1hbQ0xyymOAD1FrPsIZ5RnjMettfgAq+UQOyKEnJkZ2DXKjt/jLFPOyA5QYRRW\nucdRUeG5aObUrsZKjY+J5TBQmwYrSk1pobRSUekaJbPOPY/klpVmTJ9oUqCxNcucOOp7QogFy9EW\nzv5FOxAAiSOl8qD0arFkBoVjhcDIvYCjQdkXy7+/lxG5vxnzPDIVCSdSv7p5PB2mKyL7zZONZv1I\navOXb4W33X2Vw2drP+PY/o1P8qRo8Bbe/L6tawEwDXzpJ8KZKcytQVxFn5XjENhpDI21fM8vrvi9\nPzzd731XHGyrxPBhvZbAbNRDziPXP8A8wdIUEgeUysCFaY04x1nruXytXeWtfZ68YXjfw4mXv/H+\nrZT79or2sfZLdw285/2X+N37+5Kqvxp0GOHH37Hmm185xVlhZhS1Bs3K3Y/GU+Kqq77maS38tDam\nCC/9BE9MhsoZ5lOhrjx2bB0sehtXBjhPalOeqvnfYLsu5y8i/wXwQ5RupztE5PnAf6+qX38jT+5G\nWdJTznooDn4buAen+LQYcyG8EZAx/Z5HT5VT4bU3Ukg4jBEUPVG7g42srZIR7DhZGqTIaxpz4vSz\n6sm/LkTCMNCPMrkhxCJEExNiDdY5cso4azFGGPqB7AyaIpfXEbGGLgx07RHBGFqK4IwOA5U1TJwn\n2RI5dn2gi0uOQs/BsOSQgaUu6MisOCYRuasNxZlkBR0vGRMemyK+uk6ftt7flAKakZGM00rrxR14\nOMgoMSslHK+k6MwYZT62MU6s0BuYGcOgwo6D9VQ5yAZSZscHzhjFUhYW+xTwXkdh4fMIjShTUawo\nF6e7nJV99pmMGZyakAcsSk3FBTx7boaVhjqDy4ZglCyOHaM4Y0hSMSWSc89Ke+7LQ1l4xYhNmcpV\n9ClyOUSG40O0anA91OvEEsNinclEhhG7UEtBjwcVMkLEoSg1jinK1BRUugd+P47pjA1L4ibidlsO\nSbf+sfUoAlPhy84L//pDjBH+ONla4RW3CX/hosA9emU5oHwYcHz6nuFTb4XppEA/bAVvfCH8wQE8\nuoJPuAk+aRfqacNiPbBWkBCZNJ79yRQC/N/vXvF7f7S97+1jbJ2zcI3zAMRxsro0cAWiVEZvO7dw\nWaC2/NVPb/B+ws7E8YYvPs9rf+zRLQGi7X2brccxLaXKPQ/1PCYD8nimMDGwPEzXXrhE+MCHYOot\nXc60WZGsOG/4lGfuQVxsnYNund92raY8f+Xz5zzjafOR2hfe8dst73nfMbdf9LzipVPqqiyKc0qk\npDSN50lvTzn/G2rXG/l/L4Xa920AqvrbIvKZN+ysbrjJpkIPMDJeFYd+skLOeWy1E2LOJwh7IxTA\n1Rj6pzwSn2lB1yMF5FOyC8VBGDG4MW2/IUfLOaMi9EOg62JhTM1KH2LJJuRCC5q9x1cOTZnK21Lf\nDxEVZdkNpY5vhdwOrLqe7Cy9FhY+B7gYmHmPrR1DShy1a9a6okvKqu1Y5ZYFK4wYDmlpdc0gPUEH\njnSgJ+ARBjLFhfan8+J2CvIEAU5xSA5OvPDWIuBWD5fyaVlFEBxw3guxLuqAwcHEKBMjmEqwKrQq\nGBUmIgQtuK3aZM7lxHmb6cdOLc/oC4EjKSI9U1EmolRG2XGWHbPLWZkzYwZqEYUKi1dDzZQI1DJj\nF0+dpGikqytXSE6oCI1piLmnzy33a1EstMOAUYOIJWmk63uWR0ucs/TrFukdxmQOV4a1Gi7liBeo\nKfoCGWGpgpeCCalklBJGSisiRYUwIkSUw5i36vZmi/eAUydmod6Fl84Mgyq/+lBZIDz7Irx8As4L\nf+uZoCIsU+F9eOY5QA193P6BNwuK0bk64b+8tYD1qlwSQzlD7YSXPA12J5b1ILRZWa0HJsbhSGTJ\ntKueR0L5nX7x3q3rY3OcawWnV4D+RtAepixGZZP9GYrDl60diClp+8ryqTcbvuWLnsZ8WtOnzAuf\n5Xju+RW/+6FudDRjxmBE/Zfj5SvHc2NXZE4ex2zBFT3j1grS1frDQA2f+nyP84abJxO8g7p2Y1lR\n+LrP3udN/+74dHFyxTk4tqfv2aRBxLDqMl/4hgf4zQ/09EGpqsw3/FPhHd95G894mseoYs2foej/\nBpmI3A78CHDTeKQfVNV/LCJngR8HPg74IPAqVT0QkXPATwAvAX5YVb9xa1/fAfx14IyqPq7U/eNt\nN/rS7wOeB7xaVX/icT5fj+f8IuAS8FdU9YNbf98F7gR+evv8Hs+uO+2vqvfKlavdD9s5+2S2TYRf\nIn7FqBJzwhhDSIWPWyjytafCGSWtX+75UhYQyYgIbsOcZ+Qke22MKSXW8WApp8LGl1LpQU6ZmBRy\nJmkqiwtr8M4hqniFLBmbE11WUsr0IRI0M2gm9kOJnqW0DFlrmTiLSxFjLNZb2m5gOfQs2o52iARR\n+m7NIq1JZKLASjqUwBErVnnNAWtEHQsdqFVIwKfXhnd2qfTsb0f7pcR9itrfJvFReMYUHgaW4/s3\nm1Ki9xQkvUXoPQSjYAVrobaZ3dqwGgq4sU/CTIQdIxhVpihBIylnHh2B4HMttfqFFqIeJ0IFzCVj\nRXHWc5ObM9eGfdklaEbUAlMmmqhV6EaHYrXmVjPBGCWrLdtmpcgaGCqUpa64L0FHJocVkh1VKiDE\nxbCmHyKhH0oQ3js0Keuh5iDDMivWJJzC3ogJMZgxUy/sUpQFjRQFu5yVtRpWOiZPgtKiDAoXNqx8\nxpw6otH3/4Vb4AW14bZGaXtDZ0GC8KKPh7oSTCoyxdYLTR5L5MaTUqALULuMxfL8PeG3D0fxoa2s\nwZffDLN5KZlVNewYYW6UILCMhvU6I1GZuAJKXXSRoJAizDzsOvCNKcQLAld40qszSuMxwY+LnY2S\nH+Xi01hWEiZu7WtrahPhH73mIn/tM85graAGfv69HV/7pkeJYXMRbzASWwueJ3I+V5Qjrk5JwJe/\nAM7MHLtTz2d+3JJ33c3oyMsh51PhtV96G/tzSx5Rvst1ob5WEd7w6jPcelPFt7/1gNRTvv/j2Fv/\n/ZJJ9RB7M+E/vn9NGMr3aFtou8x/8x338qvfdzvrPjJEuO3m6gm+3J97i8BrVfU3RGQH+HUR+SVK\nS/v/q6rfJSKvB15P4bvpKLo2zxn/bdvPAt8P/METHPPxtrtnPO63PMHnvwY4UNVnicirgX/IlXw7\n/wB41xPs48Su1/nfO6b+VUQ88E3AXdd7kCebmZE4pxvGVDuFzz6FNDptGZVMS3p+UyKonUHEkMYs\nwIZ8zshpWUApPfwhJWJK9CmRNBcKzpiIueS/rTFkEZy1NCoosSD3Uyzp+CEwpEgIETFCH0tfvjVC\nyuXzRjNeS0YgZGUYIss40IXE4TAgosShJ8SBlkwoRyFJJGrPcV6zpuVRBlbakTD0mpgCEzINnjkV\nHfDcvcDvLrgyrT+lgKM2E/V2RqApf5oA01EUzgjsOoFKSJZyPhMhqTBLmboyrNSW2rwX9r1gs+Cj\nsoqR45Q4GnefFM7KyERrCkr/rIIxmV1RPIapnXPWTjnPzlimnZBVmWKpFaJGIjVZLU+Thpv8nKQD\niySsssdJz8w2oB3HecmxGjoNpNjiByWopcsDYVjRJ4iLFdE66Cw+eHo1XMqGBYk2K7UouyI0lMHI\nCI0IHmHHCjilEUPIsOzhIAqdGojlt1OECOwgXHCGXQvcBu+8d+viFoPZU75kblgJPNQKOwYuzgUX\nBWkgDILakpKuKkffR2ICbwONt7S90KtlvYaXnikMv7+/kFKv8cIrboO/eBNMpwbbZqaN5zjAg20s\nmAoylRVCEtZ9yQ5MPOx6YTapMWL5zXsCP/grgcdw7m+bMKb1x4hcNg5/k14a80eb+rA0XCsmuSCe\nr/v8wkb+Q79wyPf9zAF/9Gj3hPPEyaG2z+fqF5tFkdErKgVf9kLh2191nspZsJZ/9nfu4IfevuDN\nv3xMq/CXn7fDt37lGWqvrNYJXykqwu60wnvBWoP3ntd/5Q5f+Rnn+LRvvpdlm09wRaeLjYKwTQl+\n6JcOxvHcjM3pd7jz4cT/d/cxN+26k9LAk9vkhqb9VfUB4IHx+UJE7gJuBV4BfNa42VuAdwCvU9UV\n8G4RedY19vVrAFcFx9c65jW320TvIlcTWTzGXgG8cXz+E8D3i4ioqorIiyhZjP8HePET7Ae4fuf/\nN4F/TBmcDwG/CHzDdX72SWeLPoBqAeaheCllAOc29T2lsqaI2OgGjDdmDBT8+LlNH3/UTE658N/H\nONLwFoS9boCExuCtoTYOkzPGFr7ukCPLmFkPAyElUkwEa7GqZDJGMykK1jls0qLkhbDWTBhiWWDk\nlmXfw0jeo0Ogy4ElkUwg4FBdEMm0GrmkLZcZ6DSwYmBCKlzgRGYIjUyxONxY9x80cU7geXP4nfHy\nrCi+/7BirNVT5qExKDvnobalb95MCqJejdDWJUJeAsYKE6vUGGaVBYWzlNQ+KMfrxEFOHI2/gdci\n9boJtCYiBXxpMh5lT6DxU86ahhlzKgyJCYMa5hgaldIKiaPLhvNS8zQ3g5xZU/FgTNQiOBmoJLLS\nwMNxSUxKTCsYFCMT+jBwFAPrtqUbSpYorWsMUyQJAc8DJIZcIslGhFsseLFYLRmhKdBUQlUJdhBM\nbTlaZO7LQshCn4omO2O63yCct4aJlZM5cR3hEyrh6c8QfruHZRA+qYZbJsJ6gL2zwhkn+EmJJIcM\nLkBVFV/VuDG7NDrVduW4HEp0HhNMGpjO4b+eg59DDIKroclFZndImYUIh5cj1hTOIEthnkzApIan\n7fmyUHUV4mCC4+13LXnTv4tX9qoDpw5tJJvSrVKDbEfmWyG3WjCWH//bt/J5z53zxT/wh/zq3SMI\nNQv7VPzytz6TVRv5rNf/EXfeH6883PXYCdZAtkoKm0XH+HI8NbMPv/X3n8bupKKpLdYolbegwt/9\n8gnf9CVnCv2+LXPO1FuqqmQNvfcnp7XxD0aE2pcWyEU7LnpOMiLbB9fH7QTYWOMqdmaeunqq1W/b\nROTjgE8B/gNw07gwAHiQ4lCfLHYrcC+AqkYROQLOichl4LuB1wCfe707uy7nr6qPAn/1Iz/XJ6dN\nXFHKylso/9KqJ0Wm1shp37aR0/Q/ShYhpnQS3YcUiRnaIZwA/vI4AXpr8AJDSnhrCKr0MTGESJsC\nOZbUewHEa9FcMVr4cMZab9DC0teuWzIQUqDXTOz6gjUQQ991hFz2uaJIiRod6OjpdWCtyhGJY00E\nIokWITIwcJESaTdaMRFHhaMnsmbFo7mjAw5yieIvUXz7PtBJ0X65w8E9U8b+OcDBbTXcfKawxYoR\nxAnLDKFSWoqDOCeKRZhiaYGowgxYrDNHOREULgPngD0ZqdlHh++AJYXoZl9g6oUds8eMHfYw9FiM\nVuxKjdVIUkeLIagwU+F2s0tjIEjFpeTYtUqdDnFmysO5ZcVACD05lOyNyZ6uLzS76+EyXTbkIaG9\nQ7WmwRHH/a/zCHIwylmrNBTMhwH2vaExQtUYchSSKt2ySA1fWiqDnua7R/Fk9o1hYoRmlATolKLM\nmGDuC9mR9fDpDjRAs2PYNeD2wFpXxrKDZiLsTEbomDHkpLRR6I4NPYbUlt/LVWWRe2FeBP1QEA9T\nB76ykBODER5ZFZEkW1FIeeZw0ZUJxU9rXF1hQ2Y6ZqWMgUocfYq86deudvwbJ7+pu4+PJw5umxt6\ns82YDTDwk99yO5/7nBlW4Je++RN56CDw9juPubhneN7TKlQDP/zOI+584GpSiSeyrVT+iOe5wiHl\nq7eFvBKeccscMAwp04fEsEpFV8kYJt7hpiWyrzbOfnT022j8DeV4iJGv+Af38cBBPx5vMxZX2TUd\n5WbHlmffVPOcZ+5ijFwXVvFP3TbZnI/OzovIe7de/6Cq/uD2BiIyB34S+NuqerwdlY8R9Z8FgMTX\nAz+nqvc9UfZh264X7f8W4JtU9XB8fQb4blX97/44Z/pksALgGxn0pESmORfO7Q35T6LcgDkmdJSw\n7fOYwh9Bf25cprsTHFRJqQUpxzjqAkEj3WpF0uLUs0LjBGMKjayxjnWMkBNBhBQj6xDBQJcCRksv\nfh8i6gw5JtZ9T4qRlSpBEx0dvbYM2rNWpWdE0yu0hKK+R48QmJIIKDdR46Sg2lcklvmQtSaCFIdv\ngMPxu1wGdrWA8BtgRsmG7FeFES9NC/ArjVdUciW13QERZRCoEC4ASYRKLZFSp3eqhFXkYYVWTqf3\niwYmClmEPUqN3Y7lldut4HBclHMYDHOmgKGRGXu5ByxdFqIadhQuypSz0uBEaPEMRvG5ZS6W+1LP\nYV5j0gIZEsMwEKIhxYDEyOEwkCKktggjJa0wWDwGVcOSRK/KQGZuhEZg31jUWna8Ye4d4i1DX9gV\n+14ZAjzUCW2GAWWiMKsgRNgTobKCd1IYbQ0MWeh7mE0EyUIzg9CV8TZiODcF58Aby6CZVQeYhBeY\n12W7IQm5g3USXHYcDxDXYOtCfucp2ZpmVtohp6Y4/cqVa+BglWk7IWrZzk2E/ab87nZ3ghPDzACS\nSQmM9yyGHg+0UTnUobDLHcOVIIXNNGS33t9E+mM9aQPsO/lMsWffUvF5z5kSY6AdcllAxYHPfGaN\namLoB1DD9/700XXU8Lcj+/Ectk/n5E/CKepertj+2ectR8exSCg4S+McvinlFTdOEo918hva70yK\niZgYy5FwcJR47wdbCmnHlae2OZUrv1fBRFhvSIMwaUrr34+/4WlYK8SYiSkznfwZqPl/9G73UVV9\n3BT4WML+SeBHVfWnxrcfEpFbVPUBEbmFAlv6iE1ELPDr48u3qepHzJI7AgS/GEBVX0DJut8O3Cci\nDtijxGSfDvwlEfl6Rv0xEVmq6us/3P6vN+3/vI3jH0/kQEQ+5SP9Mk8WEyMFVJMLC56qFsY4Y4gp\nk1IqHNsxERXaEEs1f3ToTqA2gooh5Ywxtty4KbPqW5JmehW6nEEMXhVvCpBLxRBj6dWPqYhu9O1A\nrwkxQoyxcPILxJBKTz5C7DvWKRFCYKWJNR2rfEhET8BgQU8l7pNApxFDwEui1tKKVomlkZq5llCx\nzR0PyyG9aiGCo9TTK4FLCsdS6vYXKbiy2hfN+t3dwvkTLPiqyMuXQKwA+Q6k1PkDyhxhohAREgbN\nsECZ9omUYZXK5814rAicMYWCeSqZtcDaKrMIuyh7bp8Zc/ZtQ8IzFQGNOCbkDOtsabBcYIYANZas\nFWJrvEYiax6JgYUOtPEY6SEaoV8PqDjW6wVGhfVai+ptNkypcBQhl6lYOs10CD0JybBjYS6Wvbmh\nFlfwGN7RD5kuCamL5AiLZDgcyuLMKQUH4GAmQtbS3VAxBj0qdLFkoOpKmDYjoaIbe/4d7DSFV0Kc\n0vfQx4wYaCyoFUIQjgPElTDg6LuCiwu2gPwm00JuN2mgrgofwmRqiKEA8dYtPLgSUg+TGcxnMLPC\nvDZkZxDjqKziRcE4+hQYUsJpLl0xxpLFUdvEmWZS/PdkAesN+cMm4t94sW1QyWYxsNnmSnvmeeEt\n33iRhy+tRqrsTESoxBBzIKZIP2S+9+cOeODwMR/fDPL2G9eaLba23X5vK/2/sRq++xtu4cx+hfcW\n59xjnLyOLzRnUlJyTsRMYQMFyKlI+YZISoaHj8YOhscz3R6fQus8rYQffu1FfvP9HbdesLz4WZ7v\n+clLvOM3jphUwrOf7nnVy2/myz5jRuX/LKQBPvYmJUR+M3CXqn7P1p/eRhGu+67x8Wf+OPtX1QS8\n4KM5R1V9A/CGa5zbrwJfAbxdywV2kpUXka8GXvxEjh+u3/kbETmjqgfjAc5+BJ990llMubC/ATEU\nBbs2JhJSJGxHjntL4QOwAmJG/nvv0ByJWYmhp9NEROhCIovgjWC1yHnuVI6clQ5LG3qWsRDxxBQL\neY8UnnYjIGS6IZEVehT6rijtrVf0xnIUlxzoIZnMYsQibCjLN1NRkg3uKNPlSEOgl0TIASuJGUVr\nfMg9lymsI60WAFmmOOsVsBK4T2FWl6jeAGd3Sy93JWDqMWKvS+1fFPZFiCIcs6FTL+I5FcISwwQB\nVaJEdoC+hYe1OP5BSjHLAzMjqGRShigFGzBXZVctNzc3Mc2Oia1pZMKQ10xxxOzxqgQNTHHMmBdF\nW7Xsux187vESuRRW/H5uOY5HuCERkkXawColbCo4jfUarAMTFC81kg1ePVaElWYChqVCl2FiE7eI\nY2cHdmyFM5YYA8EauhZCyHgrLFfwcIR1FqxmplJAkDtOIBuCKUQ/YqSMkyghCVmEM3OwEaSSEtXm\n0sZfW8HtOMI6klPJJBDB1Yb1ooyrQUhqySJ0hZgRPyu/124Nrhk/Y2Bnh1KtSLBYFe33bi3IpCzI\nds+X0kNtDeI82RnqkGm8Zz0MrMmItmRjYYxcjbfsTmoa21C5jDMWwfAVn9zxE78j0G/1r1fKrLas\nOh2JbQxU8PS5YxUTe5XlZc+tQRMG5fNfNOGTb5qBUYYEmgMxRCKGgz6RbSkPiSZ+7L2cEBddt7Mf\nH6WB133RWX7q3Qve93AY1yZXowANN53x/Ns33sanPLM52XPKo8entPbmfMoBogoxJZxASpmoiRiF\nmCHEhORCAXbHOc/tu5Z7L20WAOaqf3K6MJGEWOXNf+cin/N8y0ufVfF//Pwh3/imxRXVgrs+lPi5\nX3+Eb33zZX7tn9zKxTNPUgzAje3z/wzgrwG/KyK/Nb73P1Cc/r8Uka8B7gZetfmAiHyQwgReicgr\ngc9X1TtF5H8D/ltgKiL3AT+kqm+8+oCPt52IvAT41xTx0C8Vkf9ZVT/5Guf8ZuCfi8j7KcnYV380\nAyDXw/gkIn+dMjD/inK1fwXwHar6zz+ag3+k9uIXv1jf+973PvGGT2CXl0v6rCM1bjgVz9FyO1XO\nlvtk1LuXlIgjWU+fM23M9JqprMVQ+tE9JVoPSmmr0yLkYQwnZEAxZZIqlkwUoQ8RMPQ5QkqkGFl2\nHceh57Ies9LIQnucGI5yPmlumnDKF7DWrXhJFU+kJVCT6OhxWBa6wknFIq+pcZRcculwGFRRlGTg\n2MKhKbowkwp2DeQIUhfitFlzSpgjlPnkV+8T6MdJtR4HYKR15azlJfuZ9xzmUj9Qyq3jC+CtFrhZ\nCtPh1GZiEloUFZgpnDNwobrAnAl7MgExaE4kMk4rKmrIHYrH0oBmpjTsmIYdMUjueTAteFgzh2FB\nWK1opKZd94XV0ZS0N1pwYwSorcf3FhVPViGS8Wo4UCGQmQnsiOPsjmFqDN54oozXUjZUIaMofSss\nUQ4HoR+zHztemVpBM/QimCA0TaH29Q2s1pQOAAdTTwGFGor4TS58fl0tAAAgAElEQVQdEGLGrjYt\nveB9VNIgpCR0PdS1IMbijTBE0KGoK1dmjDylPHcNNL4s8GIHNNCtoM9CHMD58nvvNYI3BbFuraUW\nQW0m95FWi6OytoBDk8KkrpjWNTveMXGFkMraGu8MO94ym3ia2vGdP3XA97/zUVCLWHjdF53jq/7S\nHm/6hQP+1a8smFbCV3/eLq956Q5DyKgoMW1krDMmR6JCl5SQIKSIZMWP6njWekJM3H8Y+NJ/dPxY\nprwTu9LZYwvuIZZbk1e9qOF7v+amovppLM/6hj9idTxuON6Rk1r4N2+8hZc9Z3Kq/6GMzr5kBIWy\nGCh3StHi0CR0obT6ipZFmfMG712R7baFAOx370l8/rfdz7qjKAWenPPIA77Vojjfg+/+qjN821sO\nivIfnJYstiEPfooRePXLZ/zo6//4mDYR+fUPl1r/Y+/3pmcrr/7hj24n/+SlN+Tc/rzYdTl/ABH5\ni8Bnjy/frqp33rCzehz7WDn/ux4sZRxLQZyrgjUGsQanStvHkQNeiTGV9D0lZT+xgs9FCjdYW4h5\n+kTIkaSJKIJJmSwGlyPRWMgFK5BSJojF5VgU91JiMQSOujUr7TjSnkPWJ0qrA6W27oBaPD2hqLQy\nEguNUaAK1JoQSUQCmUyrPWvp8eoL06smAgNRLKinEkg2goOVHbjsy0JCpNSexcPlFu57mNNJo4G9\nm4rTv8MLd36gRPMnAZVQVkBqQEbRn6uzuZTtPu6CsGOKqmGrpT98DuwAe1XFBbnInvE49SSKtLBq\nxQxPTUazssYw0RqTIztmhicylZrLacX9oeUwroiLFkkj+lxKC52VkjWph4JbkNaX7sTK0XUeYzMu\nCQFLJNOrcsY5zuw49kTwzrPuBxY5U9mG3EacLQyPRys4DuX3scBerbhcygo2l+jdW6GOQjMtsrMp\nF6fW1OAwmMYwhCIxbFSIHlIoZQLJQjsI/VpZ5bJwmlWl1t8YQWphaKEPED3YUNL6flzATSpwdsTU\n+1K6yRnWreCm5Rh7vnABTHYmSMx4q8ScCUE56hNV7dE+MLXQ7DSIVFSinJs11NZjvQc1TLxlp7HM\nZjWVc+hISJQ1kzMMIXG4Vi7sWpwoORuGMfOWIkAiZS3ttyO2JcZMn0pXCyQkZpr6NP/VBgg5YNST\nTEIVPue7jgtidfsCRE4rCiMPxQvuqHjray/yb35rzUGb+eznznnR0xuqymKdwVrLe97X8oX/0/2F\n+EsL2PH1X7HHt736HDGmEaSnJ7eCESHHRIwBxRCiMuTCLWKlzD/ee6yUa9E5i7EWawRrZAToCY8e\nJX7gZy7xxrdeGtsLrw3td3vjYm4jIb3dHLFtfgoUPEf/c8/4MLPlh7cb6vz/yls+up3875/2lPP/\nMPZhU/cisjsiIM9S2h7+xdbfzqrqNamxn+zWOEs2Bim5N4SCyA9DIJLHdF256Soj7G5KBCqso7JK\nmZADaVTmKfLpBtEMashaFgPrGMF4NAzEFOhjZBUzj3Zreu24nNf02nLAKHCnJfW9g6Enc0bG9L7A\nsQaSwjqPiwEDjYEpUvD9Agt6WpSejorERAVratrcEsSxQ825ukJdRSsrjuyaRwSOmwLg2lPY8eCd\nMETldzbiKhsH3sHRPQIi3MlpSvNkGwMFTDGuBK6en0TYMKd9MClPF/Ci7FGc/r7d54zfZY4lK4Tk\nChiOigtUGNURzGjIaWAqwkwcSYTlsOYodKy6FQfrDqlB+4JRSAmss7QpMXOGlDK2szhvyL1FtKKx\nkPpMLdAlS48yE9jzwoX5BG9gSIYFQjoK4KAeLLhAzsKDrZwsyGZWmZhCJ6xa1PqmGIwTJqlE8Goh\nDFA1oMngfBk2Y4G1YqdCWAEVmJVFFR5ZZHoByUplhAt7hnll6AJ0IqyPoetL6h5TsgXel+ul8SCu\nHNNbsBkWR+VzswbO7VO49r1DUyLkzGrZkbBojtSmlCPOzT3e1tjplMpb9mtD7WpmdUMWpTGWycQz\nrR2V9yXbPi58N0KMAuSo1NZwZqrEkGiHRBhpt50xJQ0+RLxzLPqeGEHJhD5QVa44x2yh8nQxoWN5\nyhhl7ismlaepPLOp5/X/lfBdP7s4JdihjOtbvvEW7nu0Y7FKvOx5c1748RMqJ3zdF82whitr9pRO\noBc9q+Gef/Z0fuE3lhyuMp/1yRNuOmNZdxEdHbrmWLQ21NFv5HOjgiS8N+w0Fd6U28E5ixjzGGef\nxzEbhtLbn9PAJ348UKVRrfAa5sbqxpLHOvyrKx6jhY+0AeJPyq4AWD5lN8KeqG7/L4AvoaAWry50\nKfDHXzICIvKFFP4AS6l/fNdHs7/rtawKKdOmQMyj0I5xeFuoZCdGyGJoQ6I3lvXQEXNJ5w4qeGMg\npDJRI7QkQt8VSV4xhBCoNNGGyCqvOWzXLHLHcV6x1DVLRlEwykBOxwGoKAp+rWYc8GAqeiQbyvYd\n4CaBqQgTMydqZEkgISz1kcI3IBmrFYilMg7nDftyjsYLwSgLG1nayxy7jqUp0cYd09LtYLJDhsAC\n5dcevGrQjJyioU/oQfU04k+MSnxbdTrZ/Dd+CZtPswAJ9hzcypSJqznrZiANtcI6J3Zlh7PiaXJP\nS8WhKjkNCANeGkx2kITD9phL4ZjDfiCYErl6V6KfqirlGETxfcLj6INg+5pJ7fA95AqGNhOTYyBT\nGeGMCLsTSzOp0CgsQ0Z7JWqkEYOpYOiFRwLkIIRQ0PJTVSqEZIWKQhZVjcBFRHCmgOxSVRD7RsrC\nRBQkFc6CrisMvXZt0Cisl5komS6WLND5uaFyFiMlk/3IQdnv5a4wBGKVuiqLkPm8PPrxJ5tZaD20\nraBV6d2/aGEysURVhigs+wAG9quauenRxiKmQWNid1phgFnTsONrvHM4KzSVo6kd9ag14Z1hiMqQ\nMwYhp0xWwUqJinVkt0xafhuDIaNILgvD4y6QotCFnphaGmfB+5K5aBpE8yiypYRUIn+DYXfimc0q\nvC1aHcYVUuS/98qLnJlV/MOfPuDyInPHnvC//I2LfOELZ3iZ4Z1grRRnv3X9lmqgjlLbYx1fC0nY\nF7xgStaC18kpEUIqZZhUvrNmcC5SW4P1HieuCHcZQUW4+6HE/sxycWpG9D+s28T/+fOH/Mu3r7AS\neM0XzPmSFzX8xgd7Hl1m7vrg6iq1wfFfOn2tB1zbaT4e1OE/T7zfU8YTOH9V/ZIRFfkyVb3nY3ng\nsRXiB4DPowh5vUdE3vYnUU7oYiQkxVihEkGcK0CcXNjzVrGIl2dVimS9QMxEEsZ6jvuOlCKapMjx\njmh8NaWO/+h6zSr1HOUDVkSWmgvf/nj8HUqPhpEaSykXrBUu5wKUaymqrLXCLQb2BZydY6hJGsia\nWecVSwIta1rtEVuhOXO+bphWczoGTIzU0ylLoywlsnIP0k4yCzNAAzsKroUuQGuVOASqPHY7nfCt\nl0i/OHw9hSxvHD5wTYcvYzlA8ilIartFWQyf2Jxjz9SQazwZo45drblVPD3KpRTpQos1SwyeHIRZ\nMCxDSxgCQw4ckouojIXzArG2SDQMKaC9FjxAW/raxXrOqiFPM+u1ApZLq8y+cVgDt89rmqoiI4RV\n4HidGNajHLNV8iAcZ0UGYRGKPG0tyo4X+gx1Vfr3p1J0CIwRppMC2BtUyKYw3tEy8gwUzgMSHLUw\nm1hihBgycXSUIjDfMZzB4qtCwNMG6JYjiM8LQ6ecnZUac12PXRNjF4Y14BMsOnikK4RBtYf9hlK+\niJE2ZRrrmHhFa0vlPL1YJiPVdF3V1N4zqzz7lSuiMGKwxlBXFiNSKKWtIaeSmhcgh0ifhBhK14yV\nUfNCAVJZ/ERoNRJCZkiFtMqooM4x8R6pBYdinQEt5YxkDZU45jPLtHFM6hI960izXRbzxQGHHFGF\nr3r5Hl/9ufuF/tkI3luscyeXMqN65ibSTzoSfGnR2UAzSUuLXlZIsZQkQlJkvBn8qMr5s/+h512/\ns+bjb6l4zefscNd9gcNl4mXPnfB7d3d87fddZtFmQsq89BMqfvjvnmc2SXzOa+/jzkfTSYbi1+7u\n+caaUueznHIjbJEbXmEbXMO1ovzHiaKf8/QnscDPU8I+N9SeELE/Eh38W+C5H+NjfyrwflX9AICI\nvJVCX3jDnX8tgkgGY+ljog8BI0KIhepXEOgD2ZZ66AolDD2SoYstzlmyZmIYyArrlHlkecjlfEwL\nHOiabvSRhhLRnxGYURV6XQ10Cm3qOaZsVwEzKWC+Z1rBmd2CRcCgGstERk9P5DAfFSwBPcY7bna7\nzKxhUOg9DA5msot3AVNZhukxB1VgnZTlMBT63EChpM1gU+mn96Yg772AOSfkdlPTH5ctuvVP5Kqo\nYZxxRkDWJuC/sivKlEWEKi+p4JzsUWWPzZ6ZWpIo6xh5MK8ZdMnUNMQ+kqJiBkMllofDMVGKYExd\nwb5xeKeEQVkNmXqZWHYJEywGQ1V79qYVNkWOs9IPQljb8cI3PGPPs+MM2Ve0xy2HfSQOQt2ABvCV\nYKPSB8MqU7QcUPZswTZaa9AszDCFmMcJ3sC0gmyE0AutQN8VoF0hciqcEkMLMjEQDdYk1keZNIfU\nga+FC3NXiKi0kPssjoV+BUcBGisYp+yIcu5i+e1USxeBccVXtBG6AVZJmDSFDnkyEXztsFoQ6Gca\nh9iKtuvJtSsZIIGbdqZ4Ncwbx/60xhpX9OBLa0ohsLK2CGGRUc2060BMxSFuIvrKKU1VZGpDysSs\nDKlgafoQ6EPEiiVaQ4WwU1c4A8aWe2zooTOCy5aZ95zbd8wm1YgdKCobOaWtNHGpu2tS1Ajeloye\nsRRSHdXTC3IDzgN0E91r+S6aZVwAZHIq2cE4Jq42wNPKWZwVfuU/Rd5/X+DpN1m+9f865N6DTNdm\njOv5zh9b0NQGY0onUck6RjahwLv/U8dnv+6Yb3jlnDsfSVeSH/Wclioer3Z/taN/vOfXsKaC7/u6\n8x9+oz9Neyrtf0Ptetv1fkNEXqKq7/kYHvuEqnC0+4BPu3ojEfla4GsB7rjjjo/JgY/6QDaQ+35c\n1QvrrgNbnGEWoR26sU6pJOdwMaIpEmJm2Wc+tLxES+ZQVxzrcNIjr5T07Fkp4K0JjqQDhwkuU7aD\nU4d/hyn981MzJyo4HKoDPitp7IsfcgAsUSLZZeamQgyY6gxBlCiwrCtmGrkwmdNUhnVjWcgBD6UD\nHkgPsgqZbnT0OZUMfVHGKz55pSU9XCfhEGHfZy47PdXdhbGmv+30x5nH8FgA0uZlHtu58pjvH7MF\nHxjg5bbBAss0cE9OWLOiTQMEg1XDEAUzGIwmettxTGY2tWQH54ZES3Fgx4uMi0BrWQuctQ2zWeHv\nXxtYdIkhGVwE2xj2GketGTedkvuBZZfpln3BawRoCp0/6oXYCd2YyagEcq/4uZD6QkNcmdKfX03K\ncDgnhFZYDDBEcH3plmisYBSGBCkYcIaqVpqU6etEvygXhF1b5nuGoSsRfk7QLspi4ViFqYdzM2Xi\nlKoCqUo1pZ5Zckg0FbRruNRD5YRZDRenQm0sGaVLGbIShkIv7K0lmcz5s3NqNcwaz6xpODNpCual\nEqxxRePCKILFkIlB6WOgC6XYnlOicQU421QFADIEpQ+JNhhC6Fn3gZyUXgxkqKyw23imtcdYWxYG\nfaLLJYKfO8+Zc4ZpU1LmSQ1ZDF1KSFKsVVQKxiQlg1pKR4IRnFW830xvJXt14kvG/v4CPCzRfs6U\n9tuspJAQU9rylFKc11y6e6w1iLMIjnWb+fy/dz9/8EgBMMYEmig3FIYcy0Kj6ztOPNnVwWyCew7h\ndT+6LPfaNkD2epyfXvV49fNrvQZMMvz4t17gsz9lch0H+dMweSryv8F2vc7/04DXjH2OK8ZLVFWf\nd6NObGMjHeMPQkH7fyz2mTSzWvUEW9rwMkJMA+2ywztHq+CNlJxpu2a5WrLqOx7ILW0+ZoVyqOlE\nzA5KB5sAMzGsc6bN0EoGHXCjf5wDMwPOTTAayHisVLgckZxopGLIAU9NQjAknBOc9+ArhJaVF7LW\nRFsWDbuTGbuN58xkhrXKg2nB/eGQR/SIh9KSPq4wI5uq86AVxVEWeXI6CpL8t6IUmQvV0md3TEkj\nbsr4Klsp+5NfZ+w5A2pKlJIpMGcZ/675dCEQpEDQg+dS8BzdFhh0xSK3qBoMNdJa9mJdxnai5Jmn\nJ1Mlg5IZSHRLWHYlW2EUpsnhpKKe1uwZQ5DMOjqO+o5qENQJ84lj6jxepDiYZAiHXSE1Ggy1hcoo\nNEKKwpANDOPX6RVbFwdSG8HEwr5nMlgjzCcFYR+lOPyhBzunpFHG7FGOBqkFb2FqyipsHeAgQr8w\nTBvDsBbqXWiHMmzdgbBOoKbIEt8yU+pJGVYxhZRnZgvG4WidGAysFyXKv9nC3tTRSxoJnxSJyqyx\nOGfxswbvipTw2Z0ZtXE0tWVSVTTe0ceIYQS6xlxIaLIWmtqsWC+YpMyntiS9k5Bi6QroWqUfBtZd\nXxy6cZgoNJVlPhHOVxZnLIhh3YVxkaNMnGN/1zNvHM5bVGxxqjkR+oy15UYyqkQERXDGUDmwVqmq\nikLCfXrZgp5IdqsWIF3J2ukopJXRlE9aZTMGK6Wc54zBOYsawWCxpmQIrDVk4HVvvsyd92fyhge5\nzC5ciSy8DhvGj2wlJa7LrrXtZtHwmGYAc9oBALhJxQfvvXqbp+w/J7te5/8FN+DYG6rCjd02vnfD\n7TgMdLFnWAeSs8RcxHkm1rLqWkLKPJoSj/QLFvmQBYlO9Qp8zd5Yk/cU8N6KMvlfSpkql9T5vsLM\nNaNK4IAzFVnNOLFMsDniNaN2TpWVnDvmNPjKM62nkDriRDjuOrqmp7eOuffUFUzrBqnglx+5i3fe\nfYnzE3jhhduY+hV3rw5YKOxPIfnStx9DmQxdXzL26wwySuL+3gp4YAuUsJmITgB7jG174whsTywZ\n2IXbK7hXpKQQVE8noSiFJD6OHLNiIQt3OOHucAmbDdPO0yjsNTOYCf8/e28aa2ua1ff91jO8w95n\nurduddMDdLehbaeNoWVAJpgMipwgy5ITIxtF+WAntpNPjkjyLVIU5YsTKU4iRbIjFMU2jmNhWziD\nLBOhOCFApDYBFNqNAzSIpqG6q2u4wxn2fodnWPmwnn3OvrduUYXcFRrXfa7O3efsvc+ezvu8a63/\n+q//f10XUlmoobJoJqfEtGJ27c0S9gGBzMDJyQmnqVDKwh7Hq7sVh0IqbIbI5iLQV3NnvEqZ/SqU\nDKkYG9+Hxn73wrKaw56Jxii5GvO6F0fOpqTXDdBFU9yre3urT3aw7C0gDyJogLK3loFmR/CwPalM\nl8ok8PoEiLOxvgzjVuiCBfP5xsSALlc48cJ2UF46sWMvDHBiPjZmviNwVSDtYdgIpxmGcxAVJDqu\nlkLXQ6w2X9/Hkc5VtkNvTPgYGaLDeU/0pkqYUZ7sZqJ4qlRCEIYQid4SAB/M8CrlQi3Cfr+SCixp\nYVoSCaFUQYtwMkYugjD2kS4GqirTnJlW05YYOuFk23M6emLwVPHUYtM2ZVXEGYs/iCDBU2kqkyHg\nveC8vfbjQO9EKcUEtIpCKZbllqwUDNqv2YgtpVplH5wDKkHsMatAxFt6ITYpghhxM3TW+hGBv/0T\nO3us3yzYvw3L/nbv/JMG+2dvq3ArfyzcwZGHpLzddy2Vy5vnjwt+zawXsP97ut5p1G/AHP2+Cfgc\n8FdU9as1HPLTwCdF5BNY0P/XMfWj93w92k0ksc0u08yaMjdUfnm64lpvuNaVRettjCvcudjN1QhV\nqQV8xUaqTtt9XwobQnRozTiyiZPgGNwpgYIHqusIKggR1cqIp9+MbPSULjhKKLyR90yDo8SCH3s+\nuO2JXnFDT1kre135jz77mVsS3Zd28KXHr5jwfhv1IsD2Pvz+c1Nxqwn+nxnKE+7OVwJcc1fNHy6d\nWDRz7VMo9a4yOa4uXoJP9fABgd97JvzDXrl+bFT0j59H9rue1x8Jps1OawPApzaBiwTnfqC/d0rd\nXZFZuSoZr5mrrCxztSmHBGfes1GPuMg4nrItlZATN9PKVyr4JOR5Znve0yO4zrPxjrlWLtdKmSsF\nY1V3AaI3/fx5FfqNkFaDfXc31sd3RQle6Lxjs4WYhbARltk+3ydXkBaYi9kJj4P13YMXCoJ3jpwL\npVT2FV6/AkVwk+f03CrlobfEI61weQ1PJsGLMEb40Jny4ELNM6IR4xQovokBqfVspQrbZtgTomkG\nxOgIEvjAgw2bIAwxWp/eefquY4yhWVc7PNW4LElRp/Sd52LT4T0MncckqSrr0vQsdjNLgWm1qj6v\nhew8nRPGruMsCENvoTMEz7wWlqzs14wLnu0QuRccfe9Q56nVoapMSXHeRuUOZlp2/DmCM8Gb4B3B\n+ybxfxcZajVpam2yuYfpgqKWsNRS0Mbjr2pmXVXMU0La951rLBBRYjAfgSCWbDgnhhAozEtlXhPz\noqzlHWyBn91Th33zboPau4L973wO7hC29qRHUwBvSTQEvuc7+3f5Qn4blvIC9n+P1ztV/n8dO5R+\nEvgjwKeA7/9qPHGzJPzzwI9i/KS/qqr/+Kvx2O+05t01j9eFxyVzWW+Ydc9KudXHT5iMrW8b1WOx\n8Fqtoq/VEoH7MiKxR6ppq/Z4FhGyZtM8Z8BrRlxvUnkMQGVUz9hvzeHNBQYqfjMwrYnLWJDe8XI/\nMNcEFxv+7qs/y4//ohmTXGyVP/uxb+d//MrPWFYfufM5OUihHzRPgN0jeN2bsMvnr4Avt/s+cyK4\n+/J3BL9a7iqHY1SziuHtHr57hJfiGT4FRo38iRjxDzpyKqgoa1Q+JxM//wZQA5sI/9o3CA+6M7wq\nN3nltf1DajZOQogmfBMyvOyFUQa8Ct5t2XaeOu3R/cLD6ljnSk/mpI/UIXDWDQSU4DyXS+LhTSHQ\nRHScZ4hKEKGuQn/iyDf2pp5cGyxfUE6iCTn1ZzZ+56Ow7u1v769gWWCqJq879DYx0W+FtQipOi4v\nCwRll0ojUwpOPKc9UGF42XrkXqw3/2QH8ySEXvjYB2HrlO7EWO1VjLBnLo/2Na/gO0EWC0znA4gX\nxq5n7CJbD2MfiSFaf94pSGDrPd5DFAv6okZIdOIZo+eiD8TOE3A2criuXN2sLMvK5ZzJaux0XStE\nT+ctYN6/6IxI14yyklbmVXBUU0zshIveM/QRCb5N1UBuWhpdhJIrXfTU1l8PTvAOumhEOfOfv2Pa\n347e1Uqp1vPP1UZ4axVMVp1GVrVROgRcVVNIFHDiCZ2NTB4Md5xr9slOyMXm69c5Ma8FzcpcCssy\ns+wSqwrf+kH47Ks8B2LnrQH/3a53rO7dW6+vYq2DY7j/mAtwK218tz5wz/Edv+9rmOkPLyr/93i9\nU/D/lKr+fgAR+SvA//3VfHJV/RHgR76aj/lu1mdvXuGqmdtWtZPBetS+PgT+KIFas8VXhXPZ2ohT\nKPRtvGfWlSIQXAcKJxLIWvAEkI7gPSVNbOMpG+fpxOG6jjHYHD7B2aT+xrOpmdNtZNdlHibjFPyl\nX/k/eOUJNnsEPJngv/yln2nKLTztf/K8pfCrc7vPoalyCPTmG2sPUttOK+Wp370d+fPS5p/aa2mS\nfPf0gm4KdHXgXEf2dSag4DpcnXCd51P3Oj79UuVCTklpJhd4dXfNXCrOtwRfLGcZMjzwA6PvIHs6\nenLa0weYipKygKsMWticRGTtcAKueqYpcYlAqSzZtOS9wDZYHz9GB5MleNfXyrzYfPnohNAJQRx9\nFLog7Jsi3P7GEr65aeWPA1w4zITJC9dXjss3lRlzZFNAs1iC19l760cTTgpi+dTuGh6vguvgNAof\nOFMTu6mweLi6hM0Imo1AtgA+gl+EfmNjjb6D+2cbTrxj00W63kYUtahNJIij7yM+K74L9KGn7wTn\nlOgi/ShE8fQxkFJizcrl44UpL+zmypIza6n4Ct1gvf/RBU7vRbouktOKkwiuUtShZWUuhdOhYzzx\neIRu8Ejjiij1NshrU+0TZy2EYTAYP3izupXmjGlOd5CLZZ8HffyDbK4qlDZZgFrQ1ia81cp8FLPh\n9uLtMxTFh9BacabKCNbmSakyr6s5362wSzPrvJJWZV8LWSI9lvj5mvhP/szIH/8Lz1Hc+a2g6b9Z\ngKs00YfjK9tGL1iV8lxyoLwVZThOCgT+7n92n9+K/etvy3pR+b+n652C/60idqvU3+OX8//PeqIz\nV2r7J7avM4XOebSWxmMLCAHvNqArg1jVVJ2jEEhSETq2ZCKRVSvO9QiekcLg7AQovuOli/vEUgnO\n4ULAqxCHzixXO4cLhYd+5YkW3qzXxBRIrLyxLhb4pZELjqzO7wI3b+0rVqxiPwT5a0xb/+AFUjFI\n9dCbP2LhU44e+/CYCcuOytFJJQvf9WHHy+sFJ7Ih1QXIjPECcRM5XbNz4FW5J4G8W3klX1NasHf+\ntjOBA067Df1eCDLgp9wgXGUiEapjWRdCCPg+QrKebr86btZCysK+mvSxqNA5GJynL0J/3iFTpkRh\nv4NUhf2iDE446QWv3vrInSnqJYU393DmTf1s7MyzfsxmoTtnx5wdNzulGypzKQaCOBiCYwiO0N5Y\ncGZjXBRuJniUIC/C0AsfexkiSuiVZYXHk1XycTHl1WVuAR/YDoIobD40cOYPVboDIrkae3/JEJzS\nx8A2dJxsIzEEog8EVxiG3jSaSkVwLGtht6xMyzXTkkmlslZFU2EYA6NTNrGj6wJdCHjNoA51VrWL\nRNaa6Vygi56uG3nQ20SBd87G8NQC+oEw6r0HMeOkEEwnwPvGpm/qfmaxbep2YIdoajP1WgVtB+DB\n6thioaNKpeZqCUBTy4veOBsh2sapCg7jT+SSKQWWlJnnREqF3VqoKbNbMmsF7wOdd3gWLqIg3pEQ\n5hW0er50ubvbb+92vVNlX53t3QrNyMCuD9yhcIfbD9D4Ye7MbjIAACAASURBVP8f79nbiv94tce7\ngO/+9PBbeNEv1j+N652C/7eKyFX7XoCx/SwY2//sPX1179FyYsH+xHUIGSVSNFGqQxgYgEEK1QV6\nF6nSkamoOKJmM7aRjlkVJwMe4UIALQTfMWw2bL2wBTZ9x1KF4WTAazXTEQc1CpNTHuueR7pnlsKS\nF0IHNzURxfHF/MTm7wL2dTxyd/j+sPErd1W6cBfoofmntzsf3F3q0RnrcP+DCM+Bfeyx++ZG9stY\nhKod/+rvOuVT8oDUR7PpLZm5TFzVPal4+gLbBfal8GrfJiN6a5eUXhhWg+fP/KnZAOyFXDs0rRQi\nokLENPNlGNA1USvE5NgtZqP7qJh4jEMZnGsqicKwjWguCML1ZWFVYb9az33bwf3eMpBNL5QbKM4C\ns3hwE9w7EbSp8a0L+NWxK0JaYM0V+oIP9lmddo7OO7oeaCQ8CmgSJoWbApc72AzCOAinZzB2ZqSU\nCyxX5pLomt/SqtApbE+s931+NnASHJvO47Nn7z2T89Rc6ATGGBm8YzzZcBICfe8JTuh6b8S5bDyH\nm32irIVpWdmnSirZIPJa6TshOmUz9O349Iha36E410CniJOMw9P3Aeegcx04JbhAwRRsu2AoQWyz\n+oqx5kUsERDnbiUiRO4g/FrM3hlVG7kr1YiDmGAQ1dj5lq/aQS+5OWN6xSP0gykMinfQBHlEaJr7\noCpc7/c27bGv7EohZRs/xFsyEp3ypTcT/9VfXfiHryqbEb7xHD79CeF7/vmZWTxffrxw9Qj+i7+J\nTbm80zquvp9F7W+RN+PJ3Ab2Q6JfsesP9ILjavg40D/Fx3mbIu1w/69VSd9n1wvY/z1d76Tw9zXq\n9fhPtrYMJFZSFVQDvXScEIguUHH0fqRKxVlYw+HJGJyvMlA1MyJsXYfg6YYNXYALHzjzgSeu8AP5\nc/zE8gRS5Q8O9/kP/bfx0eGMqSamWNgx8SjtuPYrq6wU9Ux9ZcDxsTDSE/iPH37mzkLvIJhzWIfr\n8tH3cEf2O0wf5aPbqt6N4B2jBcvRYyXMLagKLbI2+DGARiief/dTn8TVlb0k1mXm0s3MtZL2phuw\n8YW5Oq5dZRPNsMZJRFOiV885pzY6NhdyVgJmB9wraAXVQhl7ahHcXK0am4QowpNsQaFSGb2jr0Iv\nQt8LQcWg753wpDimxUbCtg7Ovbtl6VNh2VmvP0ZggpNTITeP5GmCNTsqQqnWk07O5uof9CC9Y+gd\nZTWjnF2C/QJdZ9B8xQR2ShsF/OCFsBkMgl4XE+khmhSxCwbj9x1sonCxEfrQU50gLhLUnPFWKjEK\nFw6G0Yxyhj5wOkQDhbqAukBZFnKB6ycLmgvLklm0khpE3lHpOsfgjcHufU+pyhCgViN5qnicOGIo\niGtaAOLw6sEbKdEH8xvomrpQH6T1191t39y1+5pePbdWELm0Pn0BRUm5tMNVyLWYPG6p0BwQc7XP\nSNvInvXolRCtX29B3mp6VaUkE+pZU+ZmvzDdFBYV9iXjm1of2ITHtot4MnMWfuSnC//r/7bjM79Q\nbhPhPfC534DP/YLyN34iQ5fv9ln7Oz4/oD/z81OB2j9drR8S93R0XRvHfWrT6/Mu5a1V/9s9N/Zc\nH/idUrK9gP3f0/VuR/3+qVpRO4JENuLpnDmeRBeomnCYZazimLDYW6lUXblwpxSU6Ec2Y88ojtMQ\n2IwDgljhHTx/9vFPMukj6CsE+Kn6Gt+7/zH+fveHqS7xRr3hTU2UbsU5T7Val6/nhIDnTb3hC/XL\nVoEfgvjh8pAEHCqCw3JHlwfIb+Vp6E+Objs+4TRY1ir8aj19BVM96qB6bskF6ng1vcF9F3i07ria\nnAWvCKfRUVVZveK3la6YAE0tnntuhBLxOyOPOXF0NdBLRB2kNJO6Dk8P80zdJ57cKCMedSbms6Ma\nS1+FXqzKc2rsubR4Hs0VvHKdKifA0DlOOkGyicqkFa5qg9cDbJywZHt7+2ta8mBz3tVZYrLp7b7j\n1qHe3QaF+RoIdtkNwsYZVD9XuLmBYRC2vTB0iohylY3EWIGxVfonI9wbHJvgWKoi/QmUgrjA4CF2\nHYMTtmOgIxA3I7EWhr6nj4JgHhTrktg9vqKkyFKSTRl4h1eh96C1cBptptGJMxTZtZFA7+miJzro\noyE8qkLFU7VJ93rou4AghGDZoHcOxDUynuLE9PEP5jSHA84ksgvGyzM9f60FrQptHE9UWXLBeYfg\nSLXYTH2uNhIZHAjNqtdRtOCdR6slWKUUUlpIa2E3JaYFVkxFcHBK1RUVx0U/MqeEQ8jVvBfmVJnX\nwvf+5zc8/JWjPXXYcwNPB/jj/TRgJjtb3gHOl9spl0PP/TYoCxbob5X9jqB+feYxDuu4x3+4+qn7\nHv18fM5o1/2Lv+93QFB9u2Tmxfqqrfdl8P/67qIZY1UCyqIrVT0QWSgEcuvdOwbxxtz3no0PnG1H\nTruOvkXZ4g0f6BxsQuDH1i8w9U8siGYA69fXuuN/qD/Fdw6fJDNjQ1SlyagYS/1aE494nbnCWpe3\nVueHDXFcacgzX+0pbxWIDtX8ba/+6D5Io5JjsH5RE4WvHtYOVmffq+OWlYdwebnyMCZicJxtYCtC\nGYRJzIp1EwWK4yXdIKsiu8KC4ujwuWNToQuR1VmCVXMiVPDzwi455tkTxLGRitZK9grF0eOIYpKu\nDiGIZ0pKXZVHubIVU8974B2umMxuTrCuZrxDBVmEOMLVAn07J3fV46OY8AvVCjqF0xNh8N7OzSuE\nYGx/twEXQbLgHOx2sExQg7DZCi+fQdcrySnraoXeCGzOrMI/GR0DsOm3zDgWVk59YBM7fBT6rmfT\nBVAlhkjvlaGLxNhRc2JZEzc3if2SWVWYS2HjBO+ULig+eroYzXiqWrCu1YSrihfjQwRDQsDcKp06\nywNLNfGfzhOaEQ202fZGxnMt2Dtvgd7JXWVfajVvgmzoUlXQkqnVHsOces2S2cj9jlxbMqFKpdKH\nQFE1bwJvz+/EWe+/FNKSyXnhZs7Ma6YUI27WkohSicHjnEedZ8kJafyd3TLjEZLCmuaG6hT+m/9p\n5eEvcheMaXvn5GiPPW8Jlhgknm6zAZYot8c8TtKfhd7Lcyr7QzV/WG/p3T/n8Z4N/r79Xm17Vx04\nGF/yfMsnfwcEf3hR+b/H630Z/HML+lVdi5GOSiHgUenpcIzB0/cDG+8Zhp6teHwtaBfZK/gQ6YBR\nKl9wO350/TyfnSY+y86cXIpaP1BoknqZvylf5A/x8cbBs90fNRERZlaekLnSmVduXudHd0/u4PjD\nZj4O8oeGzDHcX7mr6OGuyj+u8A9nMsGay4phqqsD7eCmHRJ6GCOgiYMYrEuE7RmcddCFjitWnlRl\ncEpXYVsG4hJgUbJzlN1CJ4FN8Wz8wOJsdv+mLAQJbFzgahaerA6tgbGDjSiTy5ANHh2Sb85njijW\nR05J+cq+EhGSCqdO8OoYGvIxA9NsBjqDCMtqDPlRjXF/0jvWIvgqLBTWZAF/04Kz4tB2Ul93Rr47\nfFT5xgLIPllysYnC2Zlw0tmsPN5G8qLCeA5jgNMxcnHSU1OluMAgAe8S27FHUs9m07MJns0YLSAE\nJfqAV4fUxOXVnl1aSWVmToU+BqJWvAgvDQOKMHYOpw7vm0BRLmSvdD7St7bHoYpOq5KqBe3g7HdO\nh86SUWnBvn0511wfnUPaONztXirFPDHUdBK8CCVn88qoagY7qanseWPdV8zHXpuLX+c9BSWIIwZH\nKsUSlaLMSyLXaoz7ebWuVhXWWnAUPI7eK9lZNb9WZVkUHyzqRoSlZgqVdclcry0Si0OLMobKD/80\nTwd+wbK1o+3ytusWkXN3dz4k33AH5QtPw/jPQvX6Nte/3TpGDo4fQyxh/xN/2PHDnxHY693t5/D9\n3wssL0rqF+t9GvxHH7jJi23DGKlJzdWs79n4yDj2nHlPTRnXdRTvUQTvOzqUB85Tg3mV/7X9z/AD\nu1810fzQdvwBLnQKbrk7gWR4nT2Fyj16Nhq4YuXHnvxjXl8vuecCr+SFz77GHev+QIk/Xof+/PHl\nsz3/495/kEbW466P3zmYmpFwike8AW8MuONMo015xHP4kx83UOORgOhKD9wrnuGmp1bF5UBKiuRM\nL5HBn4EqEuHGJXrnTTr5xrHfK6+nwijmhhZiJi2eLKDZqn9fTI42q8KqvDaZWE9RoaP1+0XwajEz\nF5tKPAmCBMvBTjcQZ5v3n7JjzVBFcVScg0FhHBwb7yxPasTJdYWUTGCnTNBthOsn7U8T4d6pIIsw\njkoelOvJ5Js3ER6cwcVmxPvKEHvTfPc926g4qfg4MISRs64jBFOZy+KZ5hUnBWbH4zQzK2YRXQuu\nC4gL3B+Mxd8PnuhMa38pFYrZNgsG5Y/bSN9FULPQreqYSyXg6DtH1we8c03PycpW12B7f6jojxjn\ntRb7LLKSqpHpqIpzB1U9x1KLmepoAefwOBAlBEetFZWKcx4RbYiB9emdCkvOXO4yDmFaCrmac6Yo\nFFdNY2NVahSCCGlxFGfz+NEH+1ylsBZYl8q0ZtDEvGaqRIYovPJQ+cs/VPj5V7AM8RR4zNOBv22D\n3zTw36JhPB9VczS07ijZPtxGu/440L+bYE97jgMPqHhTzXTurlUnQA+f/iR86+9RfvUV+I3X4MMP\n4BNfDycBTk9/h1TUL3KU93S9L4O/ijC6jm4c6H1gPI90KIOPiA8gjqyFbjvSaVNwGzdoymTvybXQ\nV+VVt+cH8q/CmO6C9GFMLiTQI7ex1iseFM445Una82OPf5m/9+j1u9sp9vsBgxOP14HYp1h/8Hjc\np0Hat4iAYiMNTtvjtl1UsZNFCjC3M8gthyDcVfiHLyfg4KMfgX92hOThUk2V7iyBLI6xbKhTZqkW\nnMcgDBIYXQ8uIl5ZqXTqiSmzv6ncqIfi6QK8NCrTvpLEsawelwWq52QI1FWhCq+tSsBkbyPC9lCR\nto9GxJj6J0GIwUQJQ1M6nBbh1YfggyMlpdTKEE2auRsd48ax3lgPHoE8m/nOvlg+h9jfv0S4uYbY\nw2lwbEZwnf1Bxw6GAKcvRYPnBVyMIJ4u2DjhOK5I6FACZz2chAjBMU2J3c1ETpUiHaqFvCaKM12C\nKJ7TzUAv0HUR5zxmP1uoGfaiBO8Zu0gflLHvbIYdM+/ZL8aNH6Jn7L3Zzjp3a9Ik4nCOu2Av7QNV\nG4fLqwWV1HLGWiveWbA2YR3Q1A5EZ7a96hQn7tYVz4k3Ho2aql6uyWJVgXzQE0BYU0aPSCuu+W6s\nqng882oH/TopXfAgydT8iufJvFC0sEwzPniKCtE7UnX8/f9L+bGfW/n8G8Cbz+yrY6XL45ioz/yM\nHLW+7vbzW+bpn4Xx366yf7fjgbfnDwHpIAjf8x3wsY/A9Q5+6Ed4OvA7+He+F97cC32Ab/oIfPM3\nGvq0Kkw72O/e5XP/ti7hBez/3q73ZfD/4MU5rtoJLMZIwuBJCQFPC/bdxljHImQyf2f38/xSeY1/\nJMqv1Net/I1q8OChUPYYplyTBedDJZCAAvc7WHaOX92/wa+XN/l7T15/Omgf1qFyP0D1xwS9FqSA\np6H/A6SvYGWa3vX6s4e5zQtquDtRVOznQ6BHGhOMu0qmwocdTAFitq+zZYA5EaonukrOgSF2BK14\nibgukFmo64pUoc7K66lCMdGdM0B9ZSqOy1lIq6NWT+8CXQssr++sZ5yqshWhF7johDWb1KsqxAF6\nhI3NXpIxmdd0LVzeNAcqAU2Ck8pmAE2OGM0MpmbTNJoyzFfcErs2K5ycCPupuTw64wec3nec9uB7\nZWux22D0GthsOzZ9pHcOakZ9pPeR4BWkZ9uP9AhdH9jvZ754uVqVXJWt2HvVoAyxZ/RiDnLRjIic\nCKVm85OvIC5YsI+wGSLOOVKpLLNyMyvilM55+gHOYrgL9uIQGozvHaZdb8hOLZVlNa2EXMW0GABH\noRYT5SkIpZpCX60ZaRLB6oxtbzK7duwlrZRsFf9cCl4ctSjXOTfp44qKIlUoWlirzUlWqSTMAdFp\nZc2F2Pcsy4JzwrrMKD2P5pmkFV8rmQRNU+B8M6BakOD4pS9P/Lm/iI26Hmbkf7N1HPAXsT/6sbbJ\nIdAfB/4qb32Mw+VvBcoX+PZvhJ/5leMsJHB24biuoHs4O4E/+V1WxfsBlnP49/6U8OM/BZ9/CJ/+\nKPxLfxDunzfZ6KZNsZ/gSW120gL1t+g79Nu2XlT+7+l6Xwb/zgWKVJNArZXzcaBXITiPc0Zyqqog\nwmO/8Ecf/gOWOIFbbT7ryCkUaNclg9QXvasmbit6+/6Pp0/whfoafyt/gfnJM4/BM79TuZu1P6AK\nhwr/8PyVO+GdrGb6fkAMciPu1WCw/nGPsGIPItKo78KtE98BYaA9bwcf6cE/hiEFTmRs2usd+EBN\nmQs/kqoSTgz+TWlh2ReTqK2RVc2VLlBZVsdDgZIdVT2RiBNlQJBq1X1SZRRhFLPIrV7QbBV5N2JQ\nfwd4R54q+9UkgadFqGJWyFLgdDRJVx2FrnMsizHXY4B5MXg/N8vibQdLBtcJT1ZwT6y/f3Eu3D8X\ntr2yCYqKZwKkRi5OzDZ43J4gbXys8z3OJWIVSucJVZFauLrO7FdlyoneFzah57z3OPF4BRGlix1g\nCVUUJatDvcEap2PH2Aeid4TQNAJW5WpvPR8L9sL9IRKacE7FJgK8a3B+6+XnUhtD3oiAVUwZL7QD\n0Ls2MomQMs0MJ+G8x4uj1HIrubumZChBLdRqyYQTzMxRlLSsOBeYU7IZGsW+r5YcZITgHY6AkNpj\nBFIuaC3UkrmZM84rUwJfK4vO9F7pJCBOGULTMtjNPJxhv4ef/QL85b/F3Xz8s3vt2cCiWL/csv87\nwtwh+b4N4PLWqv02sD8n2D8vgN1e525/6M8dn/h6x8c/4nn1NSDCt34SHtw7cAqNZ1JXU4FkNgLq\nGOD7/mhTJRWThb7cWbtKnIlpxQyhNI+tWehOn/OaXqz33XpfBv+TPhLF5HWDA4mhGdco1Tk0ODYx\n8Dfmn+M/vfkcnLcz4KGXd9xf75v/6iFg29CAjQApXAh8s/R8Sr6Oa93xQ5evPX1COoYOD4Fd22V/\ndJ9jJnGP9fFXtaC/oxGLnGHzNYA2GcDbMR+x90Dg1rSHFvSXw32eeX8O/o37ke2TwFYDi3Pk5BDM\njEjFwWZAU6Jm5fpxpVTHTRE6jQ16tqrvSszpLVVHL4FOhEBz0VPIGFlsozCeCLu9lSlrgZMtjCKE\nDpZk1rHzDEkUvwg32WDrjBJwBKdosOdbi8djnZIumuVuaeN9XbaT41rhSRJ0tX79h+7Bg1NhsxFO\n+p79mlicMO8rw+C413k+cHFuio2qrMXsZLuaWLRyvSiuVtgnqnekZcEHR991bPqBXgzO7kKgqhBR\n+nhQhHQ41zN0yrYPDF1EHKQi1JK52mXEQeccsXecn/YNAhf7e7Q/pfdyKxBXSmVdy62mflHFIXTN\nIdCLQU+lJQXaiGkVGtFSrWIsVqEbsKVUNa8ExGSDvVML+iqkmq3yV2Gni7nrFdd0okyzoQsFV4SU\nKjsFaqYkJdeJpDaKl3IhCiw5s4mDTSt4ZV4WbqaV3WwBLx0C7Qyff7MF/onfnKl/NMECbe927fbb\ntprcBetD8nz887Mkv+clFU89X/tB2xNWDwP86X+hHecb4Vt+jxFGV4V5B7toW7Z34EaTHt+ecjtl\nME0wtUSl72FoqE1VIV/DpbNj/nD/vH+bz+RraR0jJy/We7Lel8H/5WFgxbUTbzVBlWiM/pPg6fvI\nv7/73/nB9MvQt+HsIdmuKxiEnjF8+BAwlTuY/cDwBb5PPsqb7PlJ/TV+4ZKnDThaj+4tDP7D5eGE\nIQ3CH8VaDcCJN2/3sxPHF5yH151597pnYH2wpKBVaqi/q/IPX0N7zh238OhpgH/rwQZfImsS9i7T\n5UqgEvsN1JkyZ9ZZmCZhqY6BwJoFcZUpV/MwrMIqdps6uPCO6MxzvarZrPoCJ5057GWEdQf3zqGr\ngguW30wr7K4gePNnG4JVNzfZ1N32yWRjcxYETx/tfWw3FvAHZ+N5XuDRvoEcFbZeOOkNKr13CvdP\nB9rwOavA609m+tMNL4+O7UVP57y9plTZrwpiFfPlnMkIjolOKy50JFGig81mg5dK349IFURsjj3g\nib0n+q6N1wmbLuICVPXkVLiaUss7PX0UHtwf6LzDNUTgttXrGqTbtO/3cyVlS1hFzMXQbHRt1n/N\n2SD+pFTNdqgoZmQrtVXdauhIFXIpODHJXOeVTrwlXNlsd5dU0CyIVOaaccUCzuSUrgvmHugyUh2p\nCG8uK64WyIVJK+IjtQBUOoEoFcXTdZ5cCnUpvLnfsWYL9HOBrsI82+F9vZjb4U2Cv/YPeBuX3WNI\nXe4CuXInn53lrRX720H58PyA/9Q6mu9HQOJdu6CHP/aH4NOfsm29T2bPfCMQO5u6zV1TS4yN5xeN\nj5tmQ65cR9MsEtYJ1sng/oPSpAikapoSYWjqpl/DZn5PrRew/3u63pfBX8URnGfYjGyAEyeErqNW\nSDXz68slP3j5i9z61580BY6KkeiG1YL4YeNP3M3h3/bSDf7/6+43WPZHtx+z94+mg56qKOxF2iie\n6O35I6B8EBib1akvjmH1fMs28I+KO3qN0gJYE9IXaUI9cve8B2Jgqxj+lRMbhatF+Abp2cbBoPRS\n8K4yaiS5ii6VaTeRiuMG6HOgVOhi5bpJ9kq2NzYQCE4YvTONd4V9Ui6T0gkM0SgSQRy5GMTJKvQD\nXE4wVbFRpUZOMwc4mJJyOdns91qEqEIXHF0FtrDxmLhNMf8hF+HxFc261Yx2zrzQdTCeNoEiN0KA\ndV1YnYfkONs4vu4jW3rxSAwsy8qT1UbwpCQ8wqSC00IvjhA84gdYZ5yDkxgJPuLVEXyhlEzsBqLr\n2Qah3wQ2XUffrHirwrQWWDFWPHBxapK7zpu+wW0l3kxsRJVSYVqM9Q4mSxyDM18CZ0EuZYWiTEum\n1Db4UStetM3iV/IBGWiyv16UEIQYHJs+UrU2KV6YcjJ6C0oqhdDAL7zQ+UDJC74JCV3vErUm9nOC\nWsgOvES0VktIgqfUTFZHCMK8VkpOTG3SYinWgimLAXSpwOUC13sjsM0rzHu7/NIr8OYX2z44kMaE\nu2P/qRPBYZ9xt3eeW7nLuwz2x8kFlpVoa695+K5Pwj/3nU3VsTa6gFpSWyMM1fbgtiX/WiBumx7F\nAozGU8mzsFbQDPOl7eWMUY1ELcgPwVCd0FtS7Frd4KPgx7e88K/N9aLyf0/X+zL4f+T8jM57qggp\nFSYqeb+afC/Kz+prrZpX2LbAn2gBlbsKf21ngXS84dt/GVjaSO0Bxj8O9Ad4//j3DqS+itHR20ng\nZYR7rX/rcJTq2abIfYRBhTcrfPoj8HO/0R67uNbPPxYHOHreibs+JsAVPOg7PtpvmLNjXxKPr1Zc\nKAzSsdspV2S0BgqOMXuqmMZB0UrG4VZPJ0LfTnbbzpjkaQKtwmupsmnB90GHqfJ54bSCayS0/Q4y\njryrxMMklRNkVbLAfq/sAFfMfW/bO17atBn83ECPbLbAuwVKAl0gj3B+DqMTuo319TdeGULgtB+Y\nl0TyhWWG7dhx4oTtvRMGUZZU2ZXMfpfonTB4YT9P4AOhVsahp5OISIVSUHFo7OhDYBOa/3zo6EU4\n23qGLuJ9ANFb4ZqbvREVvSjbMRosHh3eB8sl9QC/F2oxueFFraIDq+o7L+Yi2Ga9U6ksq0Wq0gh6\nh/51BTPKUQv2Dqi5EDpTN9yMpu4nUqlFyVm5WhZQ01goJeGq3ErSRwFxlVrFPq9ppabEtBZSKUgM\naFaCgAuegQpijppzrlyVQlozebVt48WC/NjBbrVk47UJrq+b9HJql3t4MgvTpHzpTbiqwq9fAevh\neH+mSn/edZ7nBPx3gPJvN1O7lIazbwX2AXrhIsCTPRDhX/5m+O4/AKywVNAEN2pbvKgdt7Farn6o\nB05HSA7SXpiqcTzSY9u/WWFORjWKHdRqXcDNuR0Tm97+JiqCREsEajGnSOdh/Bp38r1dLyr/93S9\nL4P/onA1J4JzaEkmKxqUsTjmOtGb/RnEZIHymOVbMdzxtpcOt6LlcHdOSNzB988qdB0f1Ic2Adyh\nCecwBsc9pKmLOvYqnNTAOZ4PB+GcM/7Oo2t2r7UXodwFewlvrXYOWgCHtsNx/1Lh8292aL/iVclU\nqjiGHLkS8HUgUjjpPDkpa6jsF/OCrwineBDHthfSYknKkoQpK1GUbVQ+PhgUOReHroAIXW0DEdVm\n6m222nBqVxXXw9WNcpVgLcppH/hwZ0z8EGDOsM72p/I9xAKls8DfA/4EhlPYbqzNEAOMnWdwfcPK\nE09SRlNiiD3bU0+HWc3e7BcuqxJxBC1snGk97HGcdY4hBqpWsjO1wSXBSefoYs+m64jSE3pLUPrO\nxHOqOErO5KWgziLx2HmGDpwz5MD+LtIMabJ1fKpSVO6Y+qIW7L23BEuVnCtprqSSjKza+tmpmmFO\nFCGVSsXG6rQRWjddtLZ2Zzr8WpTdtKLOUTKIVEQLrprkccoZiiBklmwjhfOcqLUwJWt9VBy9VpwX\n+uhspr8XpimzVEs88mTOeeqMwFkddAPUvUH4D3fw8MoSuP0e0mJw9n6Gm0sjZ+52wnWGn3/k4BEW\nAfftmD4E9eNg/yy6dtDCeLa//JaA327bCEzt+wCMcCqBT3/M8bs/YmTUswHOXrL3lW+MT7JM8OgK\nJB95Obg7ioFEI+8FESRZ6+LLr9KcBe21rAWGRl4pES42EFrFP3Q29qoOTjp7+RsHYcR4HVjln9Uu\nQ/eion6x3qfB32s1PXUtxBBIeeFxXnhNd7xWdnym/LLhawtNIa9BzyvcBtoDvH+M9B2C6rGZzoGo\nd5wAHDgBxza6gpHwZoFzeBk4w9u/HHg5CvcVvrwI5Otr3AAAIABJREFUbyT4wnLD7jUs8RBvWK+2\n4H94Hbc9/2e+DtdXuT3pnXSZ6MDjqRoYEPpqEq/qlLU4Hu4LIoGShLPeUVfH0HurRhPsJ9eernJ2\nqpy197civLoTRIV7gwETZbUqJSGMwao8FxQp8GRVvrKA7hUXPC/3wv0zQRzsZuv31mTVzcXGINOa\n27m8wtmpPV5ACJ2j92JM+gxOCpOu3OwL2zEQVDm5OEPnGVEjD2pNDAgX256knhiFtEwMXhEXKSi7\nInitOOc46To+fK9ncBXfDzgn9KIQIqJKzaCiqFSC9+YAiBnUaDt4HKZFr5XGMTNxG0Tpgznh6UHQ\nQO2+y7q00TuP+U9UtGCjgRRKm5/3XpjXQtcFHEIMglNj5qdczJGvgtQKZEq215lVSRlqVmotqCgO\nZZpXdkuyHNh5dK14nxm7SMARUTKedUksmP3ufrbjS53p9+Nh26ZXvvJYuczw+mPTWZgmU06s2Cz7\nvBcur5W0mraAFugH4WQDn/k1gTe4RdpsyV1gP6y3zNUftcDKs7cf/WKA3/Uh4bt+r91lGwPZm7Xx\nEOC8N/Kd70DbMf3kiVk4+2L2zHir7IfRktS0Grox9sLUphPWGXbZ+vtBQbs26JNBezhvEx7diTAM\n9np9b60zKZb3b8Y2foohDA47XKKHexthOwrdoJycHH8wX8PrBez/nq73ZfBXVaa8cl0nHjJxXVeu\n8sScM1Oe+Tvp14DKLYkPnoEOjy6frSQOIj09d8nD4cSycmfNu2DRa2rZwyGRyJ5vCyB0ZISL1rP9\nP39RnlEQa0FfWj+hyN2J7JiwdAzv374P4VbQxwHO8Q3bgFudSRf4QBeE/VJ4MlsFty6BbRBy9px4\nT2qw4zSblW7vFd9VnIcyw3QjzFWYinDq4aJxDq8X6JyN3F0Md6/1jUWZrmw8rO+E+9FxMjq6wQLB\nZTZQoHNGXjrdONZScWoyvjVCF4wmcTIIzpvtrFfBhchuP7HPDq+VsXd86HxD2s2E3rObbE78PMPJ\npiOGgCuVVBZz1FsLyEDVwtgFOoHQj5xHx+lptEGRJhJ9MBvKqriiRGdKg84JsYug2sbZlJIrIo4i\niqs2K4/T5oRnbHdESDlBqZQiFDJrVRstzOYUiMtUtWMgBFiKsfBNSa8SnBBGO05EHEuueLU2gsnn\nVUpSswBWk9UtdbHHVqg1sZsTU7YkIUglOEcMQu+A4CnVsV8zWTN1qaxFEZR+6KBmTjqHSGVaKw+v\nKlcrPL6GqyuDpJcVcrbLaS88vlRKgWU1P4Aeh+/gYhD60eLCo9cwdb58HCSONuXbBfzjpdztheP7\nCXzvd8L5PVOYTGpKkb2DcWMVfOcNkXiyg/1DG7dLAboC90abxfccVCeFVKFeGY1lTYZkdK1rkLxV\n62DH8gaQQfCH49pZItGJfV54SxSigW537zVYUnE/CKdnQozK0InVB8H0LfrfCZX/8TnsxXpP1vsy\n+H9xfcgbOTFLYrffc6kLNzWx10QuM2/m51CFBd5yNB6gdOGORLdyV4Ecn3yk3baKnaxqq04irfL3\nsNgZpSCce3gpCf/LK1Au2wntsGddG+c7PmkdtyWOq/zjBEXljgB4SP7Dhj+98TwQqENg1UKalLk4\ndlOgx7HmwFbsdfcBJFvv20UlaL3NXaYJLqsQq6nGPQjwdb1VQ/sK0TsuguIVkipXC1xPJjo4Vjgb\nHS9tzNQleFPZy0088WwD93voR2PBl2AEr1Rg2MCD6OmjN2KbB1kLcxGyKLs1c7GFU185GQaWouzX\njA8jfXC8FHtC5yglk6rjelpQiYwS2HrHZhwRV3A+cjIODE4ZusBaPUupRDU4RcW062MwBcIYA6oV\nh1JVWFZj+dPoHOoMzeh9AK2NxGfJQU6FomokvFSgKiLmi+C9J6Vq7H4BwX4fqeQi9NEcD4O38T3F\nAryKTQDMU2pCPcpaQagtorS8NBfWlLhunAFVYQzC6eDRUvBhYF5WUi7sSyYvgvOV4G18UwNsenMY\nvLpZ2e/heoWHl8bIz8mmNxrZn93OIPz9rKyL/X5fHFltdO3ehRAqnG0N/iYKHfCVlefE8+dl6W/d\nurcbIMMnPip84UuHuxsj9498O3zoY41608NLZ9ZmSrOJQk1Xxkvw3vLw861d+mCoTW1w/7oafE+F\ntLPWAN4mVSL2/ooT05caWpB3dkx3vSmGJ7W2QPM44nQwHkj1EIMhZ5teGEfYDELX2ymij56+AxHF\ne0etwTgh71pe8Ld5vYfBX0S+HvjvgQ+2Z/pvVfW/FpH7wN8GPg78GvB9qvpYRF4Cfhj4DuAHVfXP\nHz3WXwD+FHBPVU94myUi3wb8ICYN9yPA96uqisi/CfxF4Evtrn9JVf+75/z+fwD8OawMfAP4M6r6\nxaPbz4D/F/ifj1/f2633ZfD/wu4xj9PKjRauuCEtCe1ME3wuE58AvgB3gVPgds4f7qD9rn0/83Sf\n8NnLQ5BOctsrJGFNvGtnTb9de8IOPpbg154IP/5Ke25pz12bfrAejQ8dXt9zK/zDZctOouOB83Ti\n+Gdi5Ju2ymkcSGthWQo3pbLMnqrCjsB9zOnt3iD0ahWYFCF55Tq3qlutV1nVZrdfFjtxRWdvd19N\n2e28g32pXCU7eTaPIL7uzJl4TBHKoOx25tMO8NIG7p9FTrYdy36ldIHr3cTlDBIrnYN7nXnZr0m5\nSZXpshI3YidmlFHg3r2Bsq6UEMji2Q6Bi+gRpxQ8RQJXV3v6PuIDfOhky9gHfDDyolM42W7xpeK6\nwLpWLidzfxyH0QR6gid67P6Nkb8kG6dzInhRht7GMIMXSspIE9OptVJqpSYL+rWaO17VYqQ/hazV\nFPUU1rUYy1/BxYB3QtdHGwzxQm3qeksye99lLqRcyQq1VBwVtJJKwcXAzbSyLImlCqVW+hBxUrk/\nBEtcXCCtK1ezjTXub2YcmeC96Vs1e8SSM49mI27erCtP9mZvPLeA6av9nBSWWbi6VmoWiuU2oI5u\nNA+F0RvpzTdH6U5M82ETrQ3w5UdKt+E5jndyd+wft+PeYoV52MfCF74c+bf/GPzG63bTH/jd5r5o\n0w82Q//lNy2Qx3bG3HaYZAaCx6r4qZqH17oYilEyhM6eeZr/P/bePWayNTvr+633si9V9V26+/Q5\nczljj8GDMRgzg8dgjImN4yASYuOIECQCwZITRUECJUoUkK1EIfkHESWKkoi7kYgUEUJwBMZAbMXg\nEByb+AaDjYnH+MzMmTkz03369Hepqr33e1n5Y731fdV9emYc7EM87vNKX39dVbt27aqv9n7Wetaz\nnmVALyIW1IywifaZ9CvL6tet+yV7kCb+7ToLQMRB6B0xmHfCZmMZ/GptjIQTYRw9MdprhxDI2VhO\nkUpKmHV0dk9IlH5Rr7eW9s/Af6iqPyoiJ8CPiMj3At8C/O+q+sdE5I8AfwT4w9hV/j8Bvqz9HK/v\nAv574Kc/x2v+SeDfAX4IA//fBvzN9thf+jkA9o8BH1TVnYj8e8AfB3730eP/BfB/fI593KznEvxf\nTZdc6GSzxpko3rNNV+xdpjrl6+s7+Q55rV2RsIvEwpNtes2y9wnb0Kepqnrk2etoI0IFZmfc3utN\n0p7bvha47xx/71Xl4ZZbVoFo9XyRp/bPbdDhju67YQiE37rqedeqsgqR3nd41yFF2E0TdXJcbBNX\nk+daO1Chxwx43jMokhzjCFfX8EBhVrNv7cSqGorjPNjo3D5YFWPK9lHtiyMuigtWxH59sal/IcId\n7xiCkLwjJ8ueNChrD+94l3ASI6uxJ0bh8dXCg93MxUVmLolxgNMIoxfwQsax7ApVhFzV2qeD9YA7\ncczBMsiTfsXp6HB0qJiCeizgY6FK5aV7J6y9Y1itkJwpAXwJ9IOzqYuLOQeOCfroOIsm4gvRGVBX\nmLMNqTnMtB+6gKiast85y7qcCe8EIc2JKsKylDbn3soEVYwVCNVTtVqZoLWtqbf9BjEgOvy558UG\n2cxLoaRKqcpcC9JKDLUUihjtf3U9MedECJ7pYsEHx0nwbLwSXGSqjqTC9aJIrSxlAkwfU5Iydp5a\nCvu5mDXyUrjawcUEu6sG+MV0HfNk9edPvCo8yvCO0YBsybCdHR96jFH3p8L778GXfoEJ/x48EL77\nJ+DiGujh16zgpXsWWIgoPoDsgRcFPsGT+pbD0mcBvnDTenMI4oFPPYRf/6vNMGifTDSas2XyNI+v\n9Ubw7XVmBVmMht83ce92Czpbe12pZkmdsb/T/XvG9niB9bll5m4G10N29rxl15T61TQNSZTROboI\nQy+cncEQhXFwDIOV0UK4NQfRFhjGCPNcKMWREsyLDW9qGk/i54va/y1cqvoa8Fr7/5WI/GPg3cDv\nAL6ubfYXgL8D/GFV3QL/p4h88TP29YNggd1nWiLyTuD0aNv/AfhmbsH/53LMf/vo5g8Cv/do/1+B\nsRh/C/jgz2V/zyX4O0ns80IphUwlM7NQcVVJqmwpfGM94bumS3vC4W9aeJLSPx628ya28ahvR9q2\nV50ZBBVMdtthvuNKE+wpv2qA73+NplKOdgE7ViwfLnLlaN+H44kdLwEvB+F8VN636hB1rF2HqmPa\nzdRlJqlnN3v21ZPVnOVGHKdRiVlYb4TttXCpwscvKl7tonUWIFQh4Rg7e83QKgmpwFV2xKr0vVpt\ne1R0gYKyCY6lgHeOvjPb2KGzC+FJ59j0HTF0FMnsdsprl9dMs7KdLO5ZdfDiyijt6yJc5ky+UlxQ\nkhhtetIJ/szk0bELDEF4RzciweNqBJfxLuAlM4aAhI7ozD3QBRvxWnLFu8CAEleBPFdShD44Vr2x\nLj4IJUMWZZornXf0AVSsDl6S4oI1V0uj3GsulJqYM+Rs9XXRijjzpHeqeA+pmHpLuZ2uN66sBc95\nR1Wllso0ZS6vM/tUm1FPYSmJgCnwD4L/acksUyJjYjnE0YXCuvMIwulJh3phzpU5JS6WxNAH5qng\nvLEewVm7326buJjMC2O3g4dXlg3vZ+u3XxbL8hc1OjrtTbX+9x8ArwJB+OkM3a+EL+uFD/19boPX\nTwo/HuDBDL/6JfieH8A6bdo0yg9F+NALwBn8lnNhtYHv/ol2Pjbnumdm97RzEX97/jwdKCzwiU/C\nF71sN4NYxu8QXALprLauueUD0nQti5UBfGeBRBesw6R3MA4WPAxjM+ipMI7gVpBno/P9aKWysQMd\noO/Ns2IcoeuFsxVs1o4YYb129n3wQmnDgw4ZvYiVcOYZVB3pKCFRNbCfF+iilSP88RyRX7RLfiEy\n/xdE5IePbv8ZVf0zb3olkfcCH8Ay8pdaYADwSQxQfyHWu7Gz4LBebfcd1u8Uka8F/gnwH6jqxz7H\n/r6VFjiIiAP+KywY+Iaf6wE9l+D/yWmiUnBOmOqOK92zZyYQSCy8cnXJP4Qnlfo3LUHtPn3q9k22\njWX8x8K74uFBf7vRIdPftycqkJWzQfjYY7EywLED0PEF61CyO3iPt6z/99/t8F4Yux5RiOqtRWyq\nbFNii1D3gavqEKz2JwLnOHoxcE3ZsVNrsUqqnHjlJW/NDhWPtNf0Hlwxx7h9Fbpe8PvKC+dKmZUp\nWf949I7irW1xtW6AP5oBTx/gdBwIMVJSYSmZT11dmePpYvvoV/DiAFGFucCDnc2Pd4A4RwhKF5QX\nxg7nCjiHxI6hCuvYsRoHhErwShccpUZSFVwYWQchiqOKAarUQNdVRnGU4Fmy4rMy9v5mgE0tEDrL\n4MdR8ALeB1JRVCA4G5zj/ULOC1WF/WJZeMoVJ9UMe1ALIIrpLw7mNoJlfkNnw3hUzJp3nq1nfjdX\nllzZzxlx1hsPgjhHrhWlcjVlciqo96Y/1UrnhE2MeG/RYnA9S7XnX+8WcjOz0ubmd7mdzSCpWgac\nKuyum/HSYgr86wv73u0XA0TvQCfhcmvBzysX8EqG/FjgI+272r7Py0/Bj0a4GYoj7Z+sfPwn4OOX\nWMtepF2h2naPgAv42x/HXClnYDmo5ORIiNvA/vg8PZqx8cRqt19+ycBagg1P2vRNhrOAFsvudxPU\nnZCdCf6GDlZN6T/2QGrtda618w3296xtLkXOsDwyU6nSCasgnL8A/WiOlatRWK+FoXdsNgbU1gLq\nSMkoimVRKykUYVmsC2RO9tZb/tASktYWGtoMgNEe67rbXOIX/fr5lycequpnzYJFZAP8FeDfV9XL\n4+y91eP/eRRJvgv4i6o6i8i/izEOX/+ZNhaR34tl91/b7voDwN9Q1Vc/G/vw9Houwf8kRF5JD3mQ\nt6gUs5ndXbN3Hd+T5ts6+rEupj71+3gdggSheevTRH3OTD+uw+2UPuCJ/mOwx0bHr78T+N7X/G3X\nwCFTEZ6k9Q/PaS/+ch9ZDYO1XLlAuV54nEBwlOS5WAKi0eYEqbASYXTCBkWjkBM8nK0+mBVOvX0x\nJnXsMK+BAJz2wq6ana6Mgl+U85UyZWXu4dGVtY+droXz4CjO6Ot9VkKwOuqd9YB3YkAplYvtQtLE\nMll3xcHN7S4gGR4vFjSkHQyDqdlXEc46E9QlVWaBlay4MwTunI6sfI+6PUt2VAJaC3N1OKechkCM\nAQlCWQqdCD4Yu5KT49rD4IRNH4jOaqjBOZxziLNtRc1YpQJaslH7xbFNC4sKJR3G4hSCcwQn+Cig\nnioO723Yztg7E/x1zZLZCTllrq4XSq7slsq0ZEpJzGkxrwDXIVqYUzItQCk2kKj3aMkEhL4P4Bzr\nGNDGZjkn1FRJFC5SpsyVEDzVFbZbc+7LxVrUAC63sJutjHO9tzr2tDeGx4tlwcsk7CbLkl99ZKLO\nUwf/4JMCH4UnfPGhjZXD6kK7o++1ayfFoYz2CTHgf9Z1rLh2Lh3v+yizP5y3z9Lg8Kzbdkxf/qX2\nnpLa0KfXr4Qy22m621v2fr4CObVMeliBJCPmNoPJcYKY8E/VgP56b2WL9WCCydUA6/vCZjBFfjcI\n4+BZDdzQ+NrMlVIyJmhZKldXltHvJzvcUqzHXzDRoROb5dCaQ272FeOTl5nDNMzPC/BX3uqaPyIS\nMeD/H1X1O9vdnxKRd6rqa42q//Q/47498CPt5l/D6v0vH23yMk3gp6qvH93/57Ba/kFI+NvbNu9v\n930D8O3A16rqgYf+jcBvFpE/gBWXOxG5VtU/8tmO8bkE/x9bfpaP7R7yfx/68R38Mgf/dGmfZfOF\nfxPgH38XjxLzmxJANltYuwA5u+/1cPR8eTOgq8AYec+553tfPXrsuJZ/nLUcftxtxvM1fWDZJpx6\n3thWnEQuJ09uma4i3BXH2il3giBRuZ5hhzDP5vA2RlNh9wJ79XSY0Gi9bkInL0wZNqPgMEBJAp+6\nMIpzMzreu3GkYiBwuQg2vR5eWEfO1r1R0pqZqvJ4niipIAh7VRRrnQo7u5C+XoQ0Ncp0EE7O4CyC\n6yKpZmZ1EEfud4GX1h2+i0Z7BsdFynQuUHMm9B3RO2KM+KokbKqdtgFDOBtR2w+BMRRW40AIliWH\n4JBWwy+lUATSUtFyUOIrKVmnftUFLxBDQLzinUfV44IJwvrOGTXcH+rNNhgnp8Lji4ntPjPnwrxk\nal2YUkFcIKtASkQPu5yoaqN9fRQ0mUr/ZD1aBcg7uuhJtRBCx7yfUans50pVZS5Qc6ZWq7nPqVLV\n/u5v7CzDvdhbnb4U+7vXYsr0mmGabLJcTsJ+NufAT1wI/8+rwEX73m7lKDCV23OleRvciFcPXS7+\naNvjq9ET13331J2tbv+scbvPEr3K8f1vBpR/+WuFB4/s/U+zfR6rsSnxF3jXi5bdM1v7XtfZND23\nhpONUf/LYt/71x7CgLA+EV44FzYjdF7YnHiGQVj19vxhMMA+gHzOFlCWosyzCWhraf4LYll9be+x\ni1BbZj+0wCFnA3vvuaH2a7WpmCLaAgtrOX12VPV8LbEU+TuAf6yq//XRQ38N+P3AH2u//+o/y/5V\ntQDvf+o1L0Xkq7Dywr8F/Hft/ncelRq+CfjHbR/fjgH94fkfAP408NtU9SYoUdV/82ibb8FEgZ8V\n+OE5BP9/sDzgOx8/tBuHC0KGf3pM2+ennvTExcO1zEK5kc0WYPKWlfRyewG8ik9GsId9uHahu9Px\nRWuHVnjlZ3g203CsKxBMLaXcUqYKr1w53ts5psUz14hWT3XCmQovBjOcCaNNwlsqbCehqJLUZgUB\n7LNjEHMKOw8QT803XIuwXhlgnnmYahNCreC8d5y96HEq7Kk8uLZMPxa4e+o4GXrWnfVC7ZbM46ng\ntDKnimJZ1pKV0Rm4bFuL1LI3p7JxY5PnTlYdiCeVmXEI3I2nvBCV8fSEKj3TvINUkSCQZwZvHgmx\n75CsqAhTVbogeHF0Xun6QC0wrnrGRrOPnYOqNukvQ8lKrZUlZ2ppdXSFWuuNTCM4h4oQfWeqfg9r\nH+2C7R3iPKoVVFlS4epqYknKbkpsl4VlyWjzzM/t7+2oFKnkZU/RiPPmzhbV4aLD+UjAWiQ711Mx\nf/6aK4+2E1Iru7RHFVKyHe+qlW80WTa/m9uchArz1mjpMplzXgWWrbXnpSLkSdCqFGezrXwP6xOj\nqv/Oj4jR8ccny9PYchCYHRjURktzNG7izSfc0yAVeLKmz5PlsMO6ob2P9vV0pn9Y9+C3/2q4d2IB\nT3Q2Wc9hIr0uQrgLUuB8DeEFqLOd5hnr1f/Ea0I/CMMI7z0TxsZIxWbAsx4tgAYD5APQ5wzzLKQk\n5FYSqIWbUQQpN8OeeOsTsFkbhQ8WmAA338n1WsiNYVM9ZPkHZb+QswUdpUDXfb6Y/Lyle/9NwO8D\nPiQiP97u+zYM9P9nEflWrGD1bxyeICKvAKdYZv3NwG9V1Z8UkT8O/B5gJSKvAn9OVf+zZ7zmH+C2\n1e9vciv2+0Mi8k3Y1+oR1nHwrPVfYpn9X270/kdV9Zv+P7/zw/vRz5u+D/jgBz+oP/zDP/y5N3zG\nmjXzux58N39j/wrlZx/bnccU4RMUZFtvyiRamlKwfn0BZrGzVLEa5ESbkNeZjBduWYKDTL44vuKd\nHasAf/dnsazpsI6Pp4mdrL7vbssFrQ3ocCx3x7v8eucZnKevjhNvXYQ+NsEcGB3dMuzomhjJO3PY\nw8DW9eaw5oNQIzhVOoTi1LxgHKw6x9kq4JJVOB4/rkxRcItlQe8+Geh6TwyBN7Yzu6Jsr2act4to\nigYynTfwWbIFDAdgGtfQBWHjQEK8Gbl8shk4846zbiSMHXlJSM1cpGZ7UMzRLwaHamWIPc55fFVC\nrPRxwAUbjNOFQO+V1WDcsgKqJogrJVGWclNHr2rCL9VqQ3LcbQ+9dzZsyDUqX5EWHBRKUVIq5GJe\n99NcmJfEnAqpgnNNkZcyRSriKrn0KBW8EDTTe4fzxhRYgOHQUqhUtAqVym7OzKm9XlbzgK8mwsvF\nGJ2rBft7KVzOZkwzLzbaNTlznNvuzEdfq6BJWBbwK8XPIGthlEYZBzg9EXyBH/tH8EMfErg+PtPk\nNig+rIHbuv7x0uO73JOPH9ftj9ezrLKfAPunX0du9QFH27zv3fB1X22BDMWo+zg0j3wHsrI2vFRu\nBXMHTUS/Es564WTtON94qrOugDHCaoDN5haApdH0qgb0KVn8vp9uKXhphMjSALoLclOrP/yo3v4G\nI/4OxIdz5itRWyB02M45Yxe6zrft5aY74OTkF2a0n4j8yOeqq/8z7ffOlym/5X/5+e3kf/3St+TY\nfqms5ybz/6OPf4jv2X+Egr5ZqHcM+M9qGaK15B2oxexgcrDv7aJy4OO0beda5j9iVxNPS+t8c/2L\n1Dfg777Gm4D89tjEXENKYxqO2YPU9peB0fOFZeBdUfAovocpK7tiQqDooKribi60gqqwGaxtrTsR\nghiFzyKc3IMyKWPnmCdliUrnHSedY+U9WYTH15ltBkU4PxFe7h2rzQlSCnOpPLpauJp3aLEPUYKp\nmycxECoZrhdQEZsdX00wNYzCqg9sho7oFd9HAp77qwEnHTF40rLn0ZWpwUQqvUIUT+l8c8kLrIZA\njJ7gpGXjBvgxClGMLhbvbMJdqYiYKr+olQBqAWom+EAIHu+F6IQYPM4rwQdAb4bjLCnbxLmcmVIm\nL4WLfWJJiVIdWQs5V3on1JpRryyzA2fDpYLzBFH6ToldpODQ6kHNH2CabShPzsJ+SuZEOd8CRlH7\nW5MNwHKy+nWu8NrWgoB5Z8ry2Zl+Yrs1BmDeW63YOUE7RSbo7sBpMdanjhA7ISq4EZiE3c4y5Y/t\nMWfJp7n2G+x9Ous+Xk+feMd9tE/u7k1mWW8Kyp8C+6fWr/sieNc9+IkPG4PyFR+AL3yHZferYMDd\n9VbeOGTmksCKUoJHeOddj3eOk42J/bzYUJ2TlYnpQgN65yyjN7C37oeKlQWkkRk5N1bhBsBtkuXd\n8baaF+NtcFBKK0EUIcbb93eo4R8CgRD8zeMhmE6l1oNRkzPzqNaO+nmxPk8O8/N1PTfg/2evP8R8\nfBU5XEASTTmDgTU8ef1Qf3vbYUKjV8fbrFyxUH7glspUDPQP+5qi8eU1goffcA9+6JMYS3A4jnrY\nXwN9EW689w/Hd3ysBespkjO+csBaFbGhIBHAKYNAUWGqRk2PCKfeLnb9YNn3YaDOuOkZZhvsc+1h\nHwTpHO8+63FT5vVFebwUiodVEN59GjiPkRoDS8p8+tGFUceKGZRUy/L7CvNsRik2Rc6OSWYrLQwD\n3O2FO+drgvPkkimuZ/SBu11gPfYkreSSeLQ3WbOvlc6rCQI8gOekj6w6R/SeIoJ3zirDznqcnTgo\njiKtp36xnD9Z/yGl2Nz5Pjr8AH20AAJRggvkkslFKVnYz7MpuJeJ612hVuVqmcmLgrNJgL2DqRSc\nU7QKjsC+KF0I5uu+UqhC1w/kWpBiQcmUMg5PLol9qixzxfnCvMB1yxaLWoAiYiYyvmk1UoCHbejN\nsjUl/rRYYDDtLes3vwohDGY2s+kVt7GvnMs0dxXfAAAgAElEQVRCvddeA2F10mrJCG/M8Mo/hB/9\nGPBQbD7sHczl6Xgd1+EPAeehti/HgO+OfnjyOU9f9A+3PXz9V8K9u8Jf/puH+2/Ps/P78PjTR88R\nYISv+LWwXsGX/UoTi2q0U2kl7fsoVg4bm6izOwkMUeh7U+bHYGDcD/b/042JV50zHUSt1o1SmmYA\nQBtr4No1InrbR62wHoXYMnrv7bdrbJwp8i2Ll1ZGGkcLTIbB9h2jZe/Ng4oQLBgVUWo19smYp2oM\nE4pz9jho6/r4Rb6Oy6Vvr7dkPTfgv9OjQr55ltxedxQDbzgCfn/rxT9j6v1r4Gpl23sMZT0G9IeL\nXGz/X4CdhxpZncCueF5UayZNj7F9Heh9OeyjUcGHH9o2BwfB3A5QnR1XPuN3nvVkzMnODcqg5o2+\nLUJWweO431l73clpiymSAbsGx6nPnI6eqzRzoeCT4955oNtX5tHx6cuEdvZWv+CeoySTEasTXp8T\ny3ZiNytjNNreR6Odg7PP7XFqimRnIOIdbFZw/yXHehjARWpR9rUyELi3GjntPP04sJ8zD3YTqVTL\n3gkMfcSrIsEG9ow+EsdglGyBpRY6F4ji2kQ0+yxFIKXU/nbehHzBs1lHxCmroWuKfhAVSjHDnJwr\nqc4sU6aUwvUukVCWXMhTRX0lLYuxAQIpFWoN7KrSR29/2mjHMcQeFzzLPCE4nFe204wXYb8szFMC\nAlPZszTQLg3EtFjb2OHrmcWo48sF3tiC7gzs981O9urKgL8mqAjOC+MAWhS/svKKXsPizA1xWcwr\noevAI3z6EfxPPwY8bC/2QG+TdVE7Jz55dMI86zp9APubc803Ov/oXDsA+7O6aI43FOAcvu43CXkP\n/+rXwl//wXZudPAV74Mv/RXw8DH8o5+EK4Xf8D74yi8DifZZOqzM4YC1ExTH6SYQnNANFhg4say8\n6+07O3QWOByU86pCylYWmSd7O9N0m32b8t7e13owYd7Q2/NLgZMTjnrzIUZjCaxub+/2UDJwzh0p\n+AXvb7INQKjNhCylW2C3WnC9CRzkJuASQpBWCvhsn/Xb63lZzw34vz/e5weWJqjsMSANcDPmdnd0\nX+8tw/eY/GKk0fW93XeoYWYxox4nlkoE4Irbdj+sZ+4Dl0Z9z0vr9ju08R96mOvtCW1lALn1ATh9\nEeZHlk67doUtFiT87hc6Xuyh+EraCddbIbXRr2dOOO3h7gvCMiurzlurH8K4NqW4oDysyuNd5Sx6\nvnDjQDremBaWVaRcJ+4OgsORV56dCiUvlGpz5auCzvbepgR9FFyxPuRdNtKkVlM/+xWsB89GCn0c\nkRCZa+F08KyCZ+N7NmPHVJTdPvGp6ZqSMrHruL9a4V1BQkAkED02ijZnkgrzAsErQ3QIkejN7S+n\nQ63UURRWQ2cT7YIxBN57lGrmPqWynwspF6Ylk/Y2pGZKxVTyzWu/1IVSBYeQaiaoN1V+c9IbY8QH\nh8ehtbX45Wp/2prZ7hekKNs8sd8V03O2Gr0KVM34amLCoW/1YAw4Hl8YbT9NZqpztTNQS9lYgZKN\nyXHYMKGuN1GeRqXfQLqCvDawf/11GLwQB/BJiL2B2dUb8OGPwk/9/RaMHr5vlTZ/ltvs/mnAV3iy\ndu9vby/tvDveVo+f9/Q6LhnYufgHvxE+8jFzwjs/g9/7r9hnNnjb9biCL7gHv/ZLWjNBO5+dg/ur\nSIwOH4XOmd+EYAzKydqqa9FZpr9ZWRAUguk49tPtOGHBSi0xcOg5YNW89i2Lt/c+DrfiPO+Nsh8G\nszJery3LH8dWAugOwjxryYzRoaqtBOAb9V/JWZta//AnsCz+oOJXbS2p4m/q/QfhKZgu4POize+w\n3qb939L13ID/r+2OwP9QL7/kVk2fMNCf5La2P3N7wTvxsPcG/EHaNa2B9LZtq+1ClzGKX+CDYvTi\nIDBsbGKeVuCiceRBDOxz29/CLa3vPL+tD1zeeYkfuH6jNfgqiPI19+5xzyuPJ1jwJOC+OE5P4O6p\nJ4qwuEjNBfULyTuGXCmhcHGl5OAZpPLCaWRF5HGufHrKhH7BzcoQIPeBkjMalHmyvvLloE/wRm06\nb21PNcP11rQDUs2/PgyWOZ0IjOsR73ochRiE4CPn4zmDd3RBuJozn3h8japQA6x9x4vnG5wTtgm8\n83TO03XeZBdqVrUxGKPggqc205yiMPSBzgtDZyWP4INVV7SgWZnnzJxncq5Mk5LSwlIzJSmpKnNJ\nlAqSCy6IdSg41+BMqVrpYsD7QEBx2GChIpWgjkXN1GG7F5ZlYsrZWudqU9S3Wm3fjGTGCLE3wCpq\nlPH1JVwXq9Xv9wbwy2yBQgLyYrejN6CvQbgfMEo+gk7mgaNV+OTHYVxZN0de4P65cLmFi8d2HMun\nhJ96qLyywzzGwtGV18ub6fgDY3X4j4qVv1R4k1DvADjKm/fz9EbHVP7xKvAzPwPvfMlKHaOHsGru\neO0ZmizgjC5w0nmGUVAHq1bqOvTEd50J/QZvivwQ4GRj7EipBvTbvTEnYCxWyka7S8voS6Pyh76B\nfSsZdh2kZFn2Mfh3nb2vEKy9r+sMlC0gKDjnb2r0B8pf9faDs4DgViMg8maQN+GfewLkb39/PqF+\nW2/T/m/pem7A/33xnB5ndf/X4aaHPmDiPS/WoqfOxuyeAJtq4r4U4ZFrRUK5ndy3tP2os/p8bQb3\nAd4j8OW9Oee5Bar3uCRcLkLI3pRZVzsD/bkxB4dj6gRcJJzc570Bwkp5/+qMV1TZFeUL2gXgUTau\n8d2d8OJdhw8d4hStlW0qVJmI3nHizf1vlkotntNTYeV6KPBwP3EhC67aONy+OOa+cDVly1gWoTam\nIRYlBotVAs3HqJohTHKWbd09FcTbtkMXWXemuncCLjp66bi3GRhQFmA7Zx5eLxTgZOw58Z7N4JgL\nbLPRlJshEgXwSk4HSbNjiB2oWfn2wax/vXc3mXfRypIKgrLb7ZgzpLmSa2E3703QVuE6WzmgpIpI\npaJ4Fyl1MXZjqgzDYAmoeqIXYojEYCJBKZC08sZ2wnnP1e7KgghtQ1Y6o3o7Z2WRUSyzj51l8eNo\nQdXlG7Bb4GJrWfh+sVnvUzLTSG1Ucx8g9sYqnPbW8leLchbh8R7qJEwX4Aar408L3Lkj7LbGFHz4\nFfiJ14CdQK988cvw4VfVWK4dlkY/CywOd8lBqXbI8tvtZ4H6cYv+E49/DrA/Xg3dq8Kd0xarKwxi\n7EqMnrOVY+ztVOxaLHIA3xhskE5swB+DMHSCDxZkofD4ygiaQ9gizsosqQVqm2beM3Riw3Z6qNWy\n6a471OrtuWdnluE/2Vt/uK2sVr616CmlKM61jg61TP42u7fP9iAk/CUL8p9pvZ35v6XruQH/37P+\nEr798d+zL1Rr70GwunwWu7r2LWsJzWXv4Lt/yG5eb887KPSda0gYIcCXB3jBw0rtQu9UyLOnzmYD\ni3MMS2APfEA9P7ZrJ2poP+VQNFzxVedn/Dqn9CtFSmUX4f5sJ/2CcIrjPffgfLOmd4VaC7MqauPs\nOBl6xiEwLTO7XJnx9HhCrrxxrTxioi6W/ax7kM6TUmGbKjkJLoIr4JpJiDawHr2Z/+yTVUG0YBk+\nQvUwqLBendCJTYBzviN4ZRUH1l0g5Mp1hotUIC/UPnC+HjnvjUfdJuG62FS3VRS8D6h35Kq4YnX0\ncfD0XcQ3dz7vxOQSCku2Wv00ZZZcKaUy5YLkzPWcUVFSUWqqVCDlxBg79nmha26HNv1EGH2HF6EL\nAJ4QbOpdypVtWpivbcTuvJvYLaYCr7nZvQaQJtJKySHBevkjFuvtZrPM3e9MiLe9tkBh1zJ7nBnM\nSLGa9QDUwWbae4Wa1GjjBHWB6Vp4rBCiMG2NCdAZdgmkh7/xw/Dwk2If0iWt/qRwBR9+TBMR8Mzu\nOgP39vsY8D/TOly0j4H/Tcr/zwFSb+rfd7z3ZdPer1aOrm8iOneU/auBsjaw7ANsVkLNsFpZS6cL\nVhq53N5WMFTtFI4NrMHof++E9akFEV3nbpT4von3jKKnZeoGzrXqDYgfKPcD0Ht/uNxaiSiEA4Df\ngrlzR/qB5wXkn7nk7cz/LV7PDfi/4EZCac3mO1pG74x275wVroMDJ3zxPfjwA+BaLKM/0PCHpU01\nVOx5Xxng3FnsEBQGDVzvFXGOWCMRqCmw4NllpSfyReK5fOElfub1hzbGC7FjmQGd+MHrwPtf6rja\nCckJvTrW3gx3znrPZuXxAsUJ10kZvGeMgbFzXG53zKq88XhvVYUJUiw308fWDk5Wnn0spAKPr0F8\nRYNw4ox+plivv6jSdR2hZtwmMO0X5l64fF0JK/DR5omfDR2nfSDGiHrL9KU6hqHnXBxJLBO+LgnN\nC/0wslr1nESHhsB+KsQAd9eBvutMvJczXiB4x8kYWPeheZerHR/CvBiNvyymjk/ZRHq1JKZcSQUE\nZc6Vzll7nhchSzUlu3fsSqLvI5HAyRpWQ6TWylQSOcGUhFQKy7JQJLPsbZxuiQHfhH13YkWrskSP\nB+ZaKarGnofKfmuZ5aev4PFi0++u2qTIaQsy2Lx3X9scd4E8CNkJbrKOiX6jbLwwZ9AsvP5G04LO\ngl/MCbEUWG3Mr4FkAPZXv09NuLdXC3xvcLtdXA9OlxzffwD4w8Y/R5XYQZiqGMVxc/3+LBfyJ0oB\n8tSPByd8yXvgve+As42ZZ0rTnPQeXGdMShfE5terGJjHWy+s/WwgrWrPH7tmVuVvSwEh2Pk1jnKj\nrle1gTu12jYH97wDBV+rNhc9M3+K0QHGQIlYIBCCfYZWl5f2GDcZvYH+8wryb6//v9ZzA/5/b3rN\nFP+KDdpBLI31wYKAlUCFD9yD1dbx3t4m7u4T3Bfotx3/RB0f22LpblVwgd8Q4b6DEcc+CYjnUa6c\n+YEpVzIRqkerRfHv8AGHsOoc/xLg3Ev89MUD64nbq/1OQH/Nh65f4P2j5zQKJys4G0dOYo9Gx7zf\no9HjRLk/duy2iYfbHfNDUHVIyUQP23bRWomJnAoWXzzYF8oewiBsVkaJuhibxqu0gCSwGjrUZR5d\nVB49WlAPw1a586IwKty5e4qUjISILkp1wiAdmyEQ80JxwuMCQTPqHbFfcbd3jMGRxVPUER28eB5w\neKoz21sfhLO+byI+KMWxWypaKiUXUNjPiSnBnGZySZQi5DaTPogC1fqcxaMCu7nivCeLMoTI+TrQ\nBRBn4J6r1favLhOlZqRW0MR2Ugie4hx9CcQucxYcpRT21T7vy8W8FFwszMk6D6YZLq4suErZ2jB3\newsQa8NUzTbCNlQIayjqkNlG4uKVTW8Alndw8UC4VAO3um2mRifQrY0dSAukvbA4JTctxk9/pNH5\nhyFSnwlLpGX0xbde0c+Q3T/9/CfofLFo5DMBvj79//a4w87F3TMs/yL8a78FfuP77XusxYR9AnRi\nfe/SksQY7G04NZC+ujYAX4oBfHSmUVmN9vhLL/ibLB646ZF3zlT5x4Y6qtrEo5bdW2bv6fsDRX9b\nl/fetSDh2SBv29968R9uv72O1mfUhry9fqHWcwP+j+thBkK7StSW8VdT5HMBX/qC4/yyUbIZVns4\n8z2ahSuFdyq82MG2el7q4TyBOofOnksUNOAJDAi75OlKwDmlc4GAZ+zEjGcq+CK4jfDGHqAZ4h/a\nDRvNnCTwnneM3BtXrDrYTjNbEpqacG03c7VYy1cSBzsHnb2t0FuGci9CEMe+VHYKJdmFrxuE1ZmN\nbHWtnh5coWAqeFeFtGQ+8npmmm2fpytYdcLpZmXjTlXIRRl8JKhjvQmsY49zynX1FBfQZSYMI6fd\nyFkfGWLHLAI5s3aC7z21eHCFmgoVRxRHdJ6UC9e5IrVay12pzEtlSjPbpRLEMedKpKAIpWZC6GwO\nQUrWTidmznLWdfi14NXq+rk6dqlylQBVfEkkLahWcvEU70DBFeHO2gbkLLUy18qscL0vVh2IsOwL\ntZoa/NElXO4a+Ewt20yt1V2aMjybWLI48L1jvjag0b7NWGgYnBfhI48PrWTCcimMd5pBzDm4bAHG\nvBiRVTMEUU5OLJi7+BT85CfEBKmHdVDHPZ3dH/fgH7pePhcevUn1f1THV55sp+V4m0PpINySC29g\ngcMZN9qXb/4G+Iavgm60zgSqMU2q7ej97Ut1wcSPvmvZPNYt0UU43Qh95+j7Q2+9POGad6jZA7g2\n6+GWyodaHV3n2+OHYMGm7ZVi5jq36nt7jwe6/+1s/uex3qb939L13ID/1wzvur3hm3XoVatDVqtp\n3ru0TL9WiLU3q9TZ1ONg9fFzBy9Hoc6msC9VEHV0dAQCPUJRhxdlCIHOOYauDepY2qANb3VInwvv\n65SHUayr4EBzBiAIX/8r4JetT3h9SXz0csu8WyjVhEYqsFw78173sI7Qn5hIKToIXSRlT84Tj5dq\nFrginJ9GVlQ0dOScwRVyNZV2EGsp2u0r10lZqr3nF89hHQJDjDc9zIon9I7zOLDqI04qgjBJYJCF\nVVBENrywETZ9JBVhzoVERSr4ECk5Q6PsDzXOTqHmwhvbHSULS4Z9MVOdXG1SniBILSRxjKFjlypo\noXOWOXrnOV2tGGJFl0KqjlSV67kSVSg5E3yllgo1MFdFghCrR8Ta44ITplxYVHjtMuFblhZ8A/Ni\nlrgPruF6Z8A7zeY7VKuZ6nR98ztw9rylmuI8F2c1/ApalJNBrGVvD598YL8zwryDkxNjfXIyE5vd\nHlSEXWMaqm+tbsn0pvud8NFX4GKBeHCMHLAuFsQii+iPBH3OWlkPgWfBMv+na+7HAC/PfIAb/4uD\npcYeWB/APj75lOO2v09gpTiwVtlR+EN/EL7i15jvffT22YYArppQMjTqnZZVO4GzEwsIVqNj6A8W\nufa7VtMDWP885Kw3vffLcnDUM9A+1PcP98XoPyPID8PbIP+Wrbcz/7d0PTfgf9cPfMvmS/mO65+0\nMbsJE9g1297zAPMeXO6JBa7F5rWrwt3ero0+eVJ1XOdKrw7FsZFI7Dxh8QQvpCpEPKe9o1aHqzYA\nxEUheqEPihsrNVfEwVev4P+6WoGbrJbtaYhxh/Ve+LFPf5qpQsiCRKFm17Jco4vX1ZTIfuwY1VFK\nplC53id8zOwWWK8c6yh0saeKYzfvKdMeQoefIA6W5V5OC9eL1UdXoznvdd7647V41DkqnvMhcnc9\n0vUBzRliR84F1cTZ0NOFgfOuEn3PNisXk1KWhS46UvbEUEjNsnbaZrwkygJTEa5TRiRD9pSSca7i\nnCMXRZxRrSKFpSijC8ylcLbq0Kp4MlUto05FWObD6OAMJbEOHdtkDoNVI1ISSOG09+yXypIrqULO\nhaIZ3xLTTm00624yUL2+Mlq/eKAYFV2Kicny0p7TGw0fRojOkSfLQhWj4+dkHQAXe2G+tgE7+8fC\n5kw48TYn6qQ3k57lCjTCPtvrslPi2IKQx8I2mAdAVutBd8DorNf/q192/MDDQ6Yt9uGABZsd0MPX\n/Sr4fb8Lfuaj8JP/AD79AH7gE1g2Lk+B/bMA7Zii1bbzg1HVG8A7uBXJRvjW3wFf/B57P//5H5UG\n/Ef73cOf+Ivw377PumV8hPtrq+tXZ+2QfWwMSKBl9dJa6uQG4E3trzcWuYeavwg32w+Do+ssQPls\nmfzbIP/2+qW2nhvwB/jT9/9Fvm9+lZ/dX9wK+ZoV7S/XniCwU6F3lrCsOnAJ3CzMGlrCEtg42Kwi\nZ7VHVNlmYXLC2jtGdeCdqeA7kCScbYQ+OqpTnFYmp0gVvPe8sFrxx37NwJ/6eOGV/UPYO15Md/nX\n78HVG0rshK6YeY9WofdAgLXCydlApOBLIuOY58QkBa/gOs9miKy6gseRcCzzzJQqMUZiiKw7YcKx\nnxcez5ZdDQHujMJmDMTg6FyP97A5Hbk7RE5XI66W1pkYcYON+B3CwBg7AspUPY92QN4iXvAu0nvP\nkhIpz1xtDTCTmhpfHCypEqUQfE/JSiKbuj6ZEGrwjqXWRtdGzleRXConIYB4ci1o63sefGVKBR8D\nuQayQkXJ84THEbzV9pelUBVev8y4rhHS2WrEaQ+PJ6vTX10058LGCqVWQy4FszKmfZVm8CfQF2GZ\nTAk+T5aRV2eCvutq+0sZpkuBIKw99CtYn1v8lzCae5qszlwFhmr6gN7BPgmPP2GWyb62kRBq4r7z\njePs3LEZoY/OhG/e8f0/zpNOkY+Ad8G//U3w4j3483/eOg5+/JHAa0cnzcnnAPsnsnq5nU+xo3UU\nAB+H9bth+7qVIL7jLwi//V+Ar/4a3jyop608wxe9x3rtnbfP2Xs4GR2r0V5rvTbgjfFgdWve9QeQ\nT4mbsberlbSM3h/V5P1NPf9Qk+/72zrFk4Y6b4P8P/f1Nu3/lq7nCvy9OH70Xb+HO/VP3frqh54P\ndLDqBSlGn59MlkXp3qOtKLmJjnUnDC4y1o4lwYMMG+dw2bHCkRZHHI2CPb/r6Zyw7nomTWyXiSoO\nj7AicLqObNYb6r7waJr43QPM8gLhHGISqrdSwTYJNZnIyWc4O7fpbjZtzxNcx5wLJU2EVc8qVcZ+\nYM7m7d1Fz/V2gb5nFTvW0cbTXlP46IPMtlmTRg8vn3lidKz6Hq2Os5MVdzcD550jhshSlFkd4hxS\n9ihCrp6eimrmuhWegy84hOocZa6kOvF6ySxFISshQkmKC2Zq4gqA4OgoVUlS6CqUHFkNkVSVEB0r\nEVKtuOChFLquQ7SQS6F3yq44onPMKeNcIS2JggcP02QDd3KpuKjmrKxAaln4FVwmuLxu/uwBKA1A\ngrXTpWYAQzUMjRFobY7zYiWK9AbUlX2ml1dG9V/uYJlMgOaqfUe8N6/4TTA/KNS0p7lYDb9MNlo4\nRCiz8PjaKO/cjjcDQQWicLLynKxhs3FsNtDhrCQwwMc+At///VhkM3Mb8AJ8DP7cfyO3ra83BMHR\nRfdQ/z8sFQzsD9scbbvjNjBIR49NwvbDR/t4CN/9t0yk+JmaCF7qzUjnzpmVzTYbO6yuE0rRmwE8\n5mFvYB8jrFaW1YfgCSGgaiK7p0H+ILyDt0H+F+16m/Z/S9dzBf4A577nNwvkoSc6q9k7B2TLooZi\nmWWHMKxg5T2Dd6zpWRbPPMPrzQe9Vwc12JjTCCdrYe0842YgaWGeCw+WLVUcUhynElivT6jTzJwW\nPvXaI/bJygKjCuOJwCRMarXGTmF0cPKi0Iln3Q/4VhvPy4zWmUk9OQY6TZQ546NnlxJQSRnERTYR\npM5MuuLBdmKZMOtdhdM13Nl0nKw6uhDoup7zoee0E05WKxsN6yq7XSKXhaqOqQpeHBspeC/mbKyJ\nKo4lKYtWOqyffpszVSp1yoxdQMWxXxy9D5RUWHU2CMdpoAQQH9iESKiFoXMsRdl0g2V0mnA4yNWG\nA7UeaO8ytVaCFqbJk2oh52yeB1LIqnhnOJZUWbYmDtsu5rNUE0zaOgibmKzOsBwuPnur1Q9rqzcf\nJr5psQFF197a+PaTbXf1BmwvbGpe3QrJm7/72JnbnPhm7JOFaVFqtp7+dbQgrDpzLdw1U5/tlTEO\nWcynf9U77p857p7B6Ynjk5+CT7/moMKLL8FHPmLH8MW/HL7zO7mtpx/WsSGP0PwluNUAHq/5wJ8/\nA+zhtn2kBXBmfPDUPp51Ed/BX/+78I2/Fb7rbx0fo4NR+KP/Kbzvi4xdAfttg2+UvjeR3ukpxOgI\nIeBcOKLk3wb5z/ulvJ35v8XruQN/gBN6rrDJWrE2ujfZ4BgJdv9ZH612Wgd2V55LMVvWqcIKT1x5\n7ndwEuFs0xNX55RpR6bycLs1an+BTXSsYof3kXne8frFJdezjViNrS85egcB9nsTJ22i0ZR9F1k5\ncN4zhJ65ZuaqpHlGxJM10webGEeBPlQuryvSgdNAlxPSeS6XhbTA4reUBeIId1eR083IOji6rmMI\nAy+cRAYfKerYzjtee3hFEaHkyi5DFx2jJu50HfhgvfBLYqlKrRlUyHmhVOX1bH3Pq65HcPTBbI2D\nV1adCRV934NX7nUOcQXvIyEE5qxohV1R6zrIxlYggvMOL5mUCpor+6mS1NrylllxMVFRNFvWXYua\nL/ve6Pr9YuK8y8WkFUWxcbxqAZErVqtX7HOiYZ9ToSQLFJcCWYTpWpnm1h1yZfa7dQ9TdYyjCcxk\nAy+NZkVLy9xzgMc7OO+VfjBaf5+F7dbEZ0Hg0d70cqKw6r3R+XfhUx8Rvu9nBJLjV57CT+2Bn8Uy\n6MrtjIkM/1tu9z8N2HJ037H4/mYdMnuxg7vm1h/gkNm79lrJ3YJ7K6G9CfyFZwcAr8G3/UeO97ws\n/Im/BDyAF94J3/Yfw1d90FiXVfPZHwZpI2vNb/sA8rdmOHID5m+D/C+R9Xbm/5au5xL816diLmoT\nOBxrccjgWPWOOzGg1ZNTIO0jn0yVUkxBv+4D7+wdL46wOdsQ/IqkeyRXdpePuCiVeSkMg+NkBjes\nyfPCxZRYauJqMSOg0QtucDY+IIn1HjuburfpAjF4+thRvWeIAZlm9svETirRB7vOlwUtyuWSmXOx\nQX8OTrzZzQ5nA9O+MO/2Nq6gWuvT/RdWnHYDQx9wGhl7xxAcrgpX28TDNDFnyGkhhuaf74XzAN73\nVAL7tLBMiaUWUsk41zFvJxYxN8AOWMVA10dmhN4F+hgJrhC90DlPDJ6kisdo+qrBQDcveExp2YeI\nC0rRTCGj2XO5X9jXhBSlZKvF5wo5WXa/vW5K/NnAf941sG69307MMIdg22gTyOXaRjZEWLfOC49Q\n1Z5/nU1498a1MQX7SdleY34Di2PVmyCNEb7gxOj6vtWmsyrzzkYox2CswrrAo0uxOQ/ZstrtZFg7\nesfJmeed9+Edp8LYC10Q/uRfER79Q25o+59qgsMnlgLL/8veu8fq3qb1XZ/rPv1+v+ewDvs9zcvM\nMNhy0FC1lGnSYG2xEEOcoQxiW9JgQZMjXrIAACAASURBVBCCWrDhOIXQkDQkpcQSY1MjQtKiSKwV\noW2sOqD+URXlIIqRVG0ZYI7v++6911rP4Xe67/vyj+u39t7vfg/DYfYMw36uZGfvtZ7zs9d6vvd1\nXd+DPJT0vUrax6uldw86/cCDE4DyWlKf8kj8tHv4vdvbKw9BP/MmdXvSWGpxz/v6r4Fv+kbbzXcd\npBQejO1vH8w08fIA6OEE8qc61e+knkrwP1yL6dIboYuBsxZSCMz7wPUuMFTHlCH4ylmEF5+PvLhd\nsYoN6gOHMkGp7PZ7rvOR42yyqiDQtZ6YI46Zm/s9JVi352ZYtY6ShUOFMgtnKzg7c5CCSemcI7UR\nFyJ+HpFGuHv/SI4OnUbmouxrZq5qFq8qiIc7m8AqesQn5jIzTgN3DxaFGxw8swps7yRWKeIkApFa\n4aJJ5Hnm7qFnrI7OQ5kGfGwIIRKCI1GZVcmqHPc3jD4w9JlaMt5BUCVLBS9cxIjzjhSWA0wQVinZ\nLNwbw36aMkNRxlmJCcY8EQW8i7ioCIFcM+OUORwK0zwzlYKWhcm+pKlNs7ExjkfzLpjExuPDaNMZ\nwdYat1G/hUVfjx0C6gTi7EB0qwsPCEMRNMN1D1Mv3DsoOsJYYbw2T/mbHjpxxAYkwVvPbATtounM\np7x0+BnGo1LLkhvvxZz3xCYQt4l8yQlhFXjhOXjLBVxuTBlSg6Mf7bm/731w75ce+0F+APyPgN4t\nGLvli0en9a8Ce7E3QB67Pbx6JXB7I33sskdJfws/4rXA/xjYP1bv+qPwmZ8ZCcG8JWRJEbwF+dsO\n/xb4TyD/lNVp7P9E66kE/xcvGvCWsDXuHcfrxMtTsDQ6Ec475bkX4dM2Z1y2W8ZS2E2ZV4bB7F7H\nkX22kbTH9vK+TUStjJMyu8xhNFDyWfDOIcn2xO0KLlvbbbchsto2SFbWq5acM65krvY9Q830r/Qo\ni4++CFKEdTKjkyYlGldZp4iLHTfHPY6ZYbaxu5SZ8+2KLYA6vETyLJxHZ+E3Du4NPTpZqE0MSl8D\nbWwo00SVwFwdQymMQ6FQqVLxUknOUVDa9coMdtRzuV4TRUnBU6uSomPIsOsn5uxpo1JdpvNCKA4a\nW3cIAaeZscwc9ubLr6KMQ7Uk3MV/ZpqVLsLxYDvzfoZhb+P7YeFr+GiAP4+LWaKznblT+xwpwKax\n6wngxEiVx6OtdO7dX0b3oxnr5EnJajp+J45tZ8zz3/eiTQfi1rrVqsL+ShlHyPftIJJnjLQoZrkb\nIww7W69LsfjV1Znj8gKeObNVU2ocQy9mxjTAr/+aRdd+7mfD//aLPNLFw2sA+9HvPbq7f9D9L/Z3\ntxc+fvPXmP/w2rFrfeS68/J1gm/7Rrh/Az/yX4nZYs68+rk+cPO7zbJ2uAZ+8AeF9fohyMPtCH95\n6ieQf7rrNPZ/ovVUgn/C0+8CQ45QHMHB256Dxkee3UQuQgMkpgz/5P4Nc55hglwqA0LAWNpNa8kq\nQmV/LFxX+9BuPOTojSfl4bwR2k7oosd3HW0IxLngvIBEBp25udozVOFqPJJKZQ42Ep6L0CXztxfn\nOOs6EpmmW5FzYT8cLJa2HzlMtrduAlw0gaZ6fGpYRTiPCS/Kcc7czBl3yNTl0zwDjCPOR64ruFpR\nekLqzFQlOroUiEAIgcklVl5YeUcbPVEqx2yytH1fqOKoeaYLcJYidJ6sheBach4omI7/ajdSSmY3\nFsoECOQiOK+2dRbz0J9GqAU+es9sb4cJWmfvba4wD5a2HIuR7ix2F2Zv4BwiMFvoTQYOe2F/NGb/\nYRTqUTkcDR9dgd0ImoXV2oid73irHRpo4GIL4yhMk7Lfw/V9OE6KL6a7b1aCL4azung8pOjo9+Ab\nz+UWLs6EVWN7bLJj9Dah+OV/BGfnkG/gb/8kD8G2wdKAXq/0dYD8truXN+nuH72yPna5YoQDxbwA\nHmfkn9llL0bHt36b8IVfYOP7b/sm2O/hD3+Bszdfb/8nHo4dms7+T/6z/1T4/b//NLI/1RuVnDr/\nJ1xPJfj7YU0SJa2EbYQ2OS42GzwNOheujz17PdAfwYswZKVLDhV4thOCBOY6c9yNDIscrEwQg6Nb\nCU207PS1CzStR1RMX+w8OmbQxKQVsjIfj0gKHKaeKdun/cGs61kFodt4XPWcrxoSkMUzjDP3r67J\ny56+lBnfwFkrbNtE8h2dV9q2QaqQS+Uj08A4F4LOlKpAsIzzsVAR2q4lirBtHDEKpSoqgqTEWs01\nxXuloeKDZ5grtTru9xCd4p0SEM5WiYoSY8M8F3KZ0ayMU2EqA7vDxDBZ5x7k1kFtAQFVmqSMB7iX\nYT8u4D7auP3W2x2Fq9Gkb2Uh0VWWfX1r3TnVAoqmLPQ74epgJj2HncCs9NPi75TNyZAZzqJjTvDC\nFrZr61O3lzaepwj7Xvm191uYizqQ0eR5XRTcknCos3EEhoMgztNthIs1bN8qnK+B2VGCPCDPNQ18\n8Ffhx34S25lXFjveRz74do/88L4e2N929iwzcmTxbOZ1MF94gwsejvIfVQeMy1U9gOebvwW++k89\n3M/b34GmiThn7Pq/9gPCt3zL8lqWxxEHX/4e+PZvFz7/8x/66Z/qVK9br/KSONWTqKcS/LfnAamF\nbZNQHwlZyAfhWq8Zs8PNFV+F886kgGdrb7v+/cj1tZKlIDjqZOEdoYGzs8UcyAvdtkOnQomBnIXW\nCaJirPeuocwDWRw3x5EhT9RB0FnRAG30nK0985hpUoerlRDFfOjHmdkJmkeOA8wCBLizMpvbtm3w\nOdP6QKmFu9cDVQp1UpwXVCqzBnzNuBhI3tFsKtsY8KFlpFA1IN6z9ZXGVaYqzEzonJiKZ/JKLJU2\neXytdMnjQjI9tVYKFS3K/eOeYcz0c2bfL6N5Z/tt8cq2hVKVijL2Rr6blzCcaTIgL2qd+FQX8t5y\nGdWayhDM5nXVPZwyz6PQ97A7CNc3MMwQqjCNalwAUbOdL7bjTythFeBiA2RYb82db38jTFn59V9f\nPPizIlg4kqsLeLemFBhHmEaPDhBXjraBt71N2ERoBWrjqcHWQE1nkxmxzQeHGX7sx4HDm3U5y+M9\nOnYHHhrwu1d3Sa/C90fv9w12+2/4Pf/wexne8Q743u8QmiYRQlxS6njAuAf791/4ZvjCPyZ8z/fA\nL/8yvO1t8N73wrvf/Vou4alOdapPTj2V4H+WEn0W5glKmTh4Jc+W2751DlaBqWT2c6UNcP+mEFpF\nsyMls3vtxdLomiisktA2LUjBi1CLwzeeNeBSIMVInibwnj5njoeRQQuTmsZbvNK2wtwL2QF9YBst\nF0C7htwfaH3mlXHm+mhSsbAYEm3aSBcSPgT8DAHPfhiYUAKFOUPbNiDQlkJKAXGtub+5QOMaUlBU\nKhsfEc0cxon9FLinShsdjSQ2LXTJUzRSUURBnAPNjP2EaubezcSxmHZeqnV3grBaKd1k+vVhqOQR\nXlkIb6XaGL8JNg1ovL2+W5Z+dDD1pq93AboGA8HFnn6chKt7BvbHZXRfjsIwKtosxDuUKUPXCdEJ\ns8D63AB4FSGuYTrCqMK9u2oHFRQf4HK9mMl4gWhmPcXBcSfoaKqNgnB+KbzlHLYJqnOot/XQmM17\nPzqgMd7BxQrWDWgRfuaneK2P/ut15RXQW7C/JeG90cj/TQD/8XqVKsC/Dmmv4faQ8SM/bIfc3wz5\n7vM+D/7+33/zhz7Vqd60TmP/J1pPJfgHBF8qvRrbX8ZMGz3TrPS1grPMd5cCcy428i+wm2ycGhs4\nd8JmFWjXiTLP+BTweNbeIT4y1krwkZxnjsNELjP7/cHMf7Iyj7fdreAmgdjyzCVsG48PkcNxZDf2\nXN3bc5xgf7Au1wNbBxcXHa2Htfe0TWKolYJy6AspmIQxiGPlBUWpoaHrAhc+sWotvKSWws0w0RdH\nycqVVzRn1l45C4W26fBuYdwp5KKoZsZ54ngs9KVy0yulmN96SHYYOm8UJzayr7Xy8ssmtTtOgBop\nrxQQhbGYO9v94wKqkzHgY7TXG70x6mex6w2TkA8wKuRR6LMR93SAIsrUL9r+CmUPZ+dCFQvHScsa\nfHsOu4Pdfn9Upr09lzYYqTAqSLD7vr+zhMR5AL1yTB6C85ydCV0Dz57Zbd3ak8dFZu8twe/2cJEi\npihxwmE0p78PvQTTAX7lAzyM231NLcQGMImdymOkP15rhqLYg/+m6hF5H3B24ficT0v83C/45T4f\nrg7+5LuFL/oTpw/jU30C6zT2f6L1VIJ/BaaaSeqZKwzFEQpstwHViqPSj0q/d0zZM2Vh3cKdrXDm\nhe5yzTQXQnAEIqt1Q6qCNIHDMOLnTJsitYz0w8z9aaTPldwDBeLKuuZNF9mmwCooTgKDOl657rl/\n2HPTw3iwz3xpYL2C51eOZzctqyahIlR15Fq5msxztszZNPK+ZVUyLqxokueyc1w2Dd559uPIfioc\nxgq10ElFpdAkT6eedrPCizfjIRFyPjJNld1x5t6hoiKM/aJHb23fLR5Ksu56Hi0mdxhNUlfU9vVl\nNuDdTzYVKMso32cDex/s/6WNJr3rq4HwbmcGO30FncX2+wLzLByOtirR2UDfewiN4BthvbUwplxh\n3cFhidEdB2H/IaXpwKviFp9+kh0sjqPt4csMdTDzpXk2kFw/J3z6ymJ5pXOELOaUKOAnew1NBNeY\nxXNIQgHu37ewHBnMIrh6KJMgEX7fW+FDv8ojsbuPdvePaOpv6w3Je48w9G899f3jV33czceDd6w6\nj3fw0z8ZON86vuCPmtrhcIDNBp5/Hn7kh3/Lv2anOtXvrE6d/xOtpxL8hx7K5JEIFxEu146xJq73\nPYcdqPeMGVZRePEObIPDpTU+OkpVHI7zLpDHgm89Ohf6qpT9REiOUiofvnuX/eIsV9SIaGcr8+xf\neccqRbRU5lJ4/ysjRc3kpWDkQVVYba2zvLPu2DYdXi3q9VALc54p02xe9ynRSOC8bYmh0rYNq+Do\nXEBdZK7wcp+Z6oin0njhUjyZQFUxC+PkcGLugTdD5jBWbgZlXNjzEoS2ESQLqbMue86w7ytFlqCa\nZZTPEns7F+vsqdbtj4skLy9dfw08MIi5HfkfFSiCOuiPMI1CdTYivz6AVDXb3Ww+vH4y+WTbCUFN\nY79pTFI3CYReuJ7UXA+rkRMdi13sZCuATsy4Ryq0eHZ9xU2B9kwsxnkN3RYi9jMzzDYM18VzwAd7\nj7yztMX5Cm4ySLHX7SIwwpyE+QCUJaymwOd9buAf/l9L931cwHkFbOx94WVey8Z/UI+Q+h7X4d/K\n7cKj5j2L/ARAhC/9EscX/UuOZ58V3vPuW9kd/Oo/Vn78x+Ef/T/w+X8IvuIrzC//VKc61e+deirB\n/y0XHWOu7HPl/r7ncFOYx4Eq3kJE1vBC19C1gbyEgdeqBKDzgWGe2S/76tVkOfbJK5MWXt733N0X\nfLGP2cYBTgjOPAHcKEy+cswVpomczbN96O2zOfjFb7/13Nl0REkUp1z3A/M4o+LABYJTVqsN62Q+\nA+IasjiSE6JYelmmMs8DWc3EyFePI9oEuVY2UZinmcN+4IN9ZjcJOi9An2xMvd4IwwQxKcceUMWJ\n2r5e4WrR3WuxONtZH0rcqhjA9Ut40OyMwNcE6+w3i6VuKUIUI/PlQZAGxp1w04OvSi9QRiVVA/Su\nEbQTVs4mDGkJJtpnk2AOO6idPScJSh3MsrdpxWx8K7QZaCEMjuOkoI6AZw7waeeeTQcuOtrWMuWp\nNskYFxJiyfZa1xtbOegS05unZdoxmg9/EXs+0Vtqc0oQUyQPEJxjLMJXvwt+6Rfh//gNQOAL/wC8\n4x3C3/pRe9xX4/4bgPCtva8uYww8KQa+5Isc7/ky5cMfFcax8v7fgM/5p+Hf+XrH+fnrG/Bst8I3\nfMPH4RftVKf6ndRp7P9E66kE/6ubnpf7TB6gNgLVcecZ4bkm0kWHNs3i41/QfiI4j6uOIxPORXxx\nnK8dORecwE0e+dBVb65wE5yvFvc254jVZH+NE2LjCWFJlisTey/mAAekFSSBy3Vi3UaYC/sho06Q\nUmliJDWCD7BuVzQuMGpFnSeL0DpYp0ATAqVkhmXknounS5BzBpQhF/rDzKyeXQ8s5jitFzoRXCuI\nF4ZiLoL7opSiDLONgneDAWDAuvviLBEvL91nnkxS56Lt7ecRVmvDpS4DG9jdQBLbqc/3wa3EjHkm\ns9Mdr5XZKzHbRKBLQtnCRsT8+mcjOx4WQmA+CENSqLC75cAtqoDcCQS4cKARQCjquM6Kv3aU5Djf\nwEVnsbrG/TBgd9m4CI0DXwCPJTuK+Q14zNdhLmYTPPcwOyOS5gJxScTbrgJ5FiRAnhzjIEgyd8Jm\nBZsVfPEfg3efGbBPI/zs/3T70/o6e/7HKyb+0ndE3vmHAn/+m4UPfcRWIF/71fCD/96jMbVv7LZ3\nqlP9rqrHuSwf5xKRtwM/CrywPNoPqeq/LyJ3gP8c+Azg/cCfVtX7IvIM8HeAPwz8TVX984/c1+cD\nfxPogP8a+HdV9TVHFxH5PuDPAZequnnk+98C/JsY3fZl4GtV9dde5/bN8pw/H7gL/BlVff9y2acD\nPwy8fXk9/8rtZW9UnxTwF5EfAL4U+4j+x8C/oapXn6jHf2UszAibc8+dNrGKHl3IZlWFsOvNKrcK\nIXqKCm3A7H3FIwo3h57dPPHSK5UBkNnAWzyM6rjcmuwvtBGnnqxKP8+MqkyDjY6rV6q3zn0VYJsi\nKg2lmHRq7QohCioN3gWib4mlUoNjUqUJgc4JXWoeRNT2U6FKxQHDMLAvhY/cm9n3inOBKIEmWo75\nJpnOXkXQKmhRJMDxUKkFbkY4lsWdF9vRJw/z0br4YTaQm3obfbtg78HFM9Yd5wzNuXC4VpogjALj\nR8E1wlhhP4glD95T9tlG8vVolzcJ2pVwlm2CELH8+prNmveQbQpQHESUcjBOQdoIfmWctxY4IpTg\nuDtUdAepiaQWnm+geQ5Scghm6VsGuM7GZYijTWIuOzP60cVtsGTo3cOJxlzE1kiA9oun/8aTZkdo\nYRgc/VHIau+hVtis7X1snhHKaAcAt0j5LtaACP/n+WM/tA8OAGZEbO+IJybhT30FfNd7hRiFd71L\nubmxrPsYT6P6U30K15Pt/DPwrar6iyKyBX5BRN4HfA3wM6r6V0TkvcB7ge/E0i2+B/gDy59H6z8E\nvh74XzHw/xLgH7zOY/494K8D/+9j3//fgXeq6lFE/i3grwJ/5nVu/3XAfVX9TBH5SuD7H7nejwLf\np6rvE5HbpeGb1ier838f8BdVNYvI9wN/EXuDPyH1wlnCjwWXEkdx9MeJxgltjAQ8sY1UZtahQXM2\nsrsK93cDh5LZ7SrH2Tq0JkIXILRwuXJskuBCR3YBPw30Q0b8xH7Zn48VDr0FvGwSPHfect5a/nqM\njuATMXiGUnFO8FWJ3rTpWUGcZ+UDq5RoxVPVImvnnLnpe4Zp5t79zKCC4GlE2HSJ5zfCNFckwlyF\nOhngVIxEl0vl0NtvRFUb23tvB4rhYCCfnRka5QGkhbWHJlnymkzWDVdvDnVTNTe3/q5Z3E4i7A5i\nmvkd3OwVVko4GICvkrDpILemHQ9qVrtDBQrMR0HTMnJYCG3em4wurG3fHxWKhz5bhsJ+qEAwhYZ6\nzs6h20AtDueE4EAn8IsSoFSz7a1F6FbW/QcFnK0NxmKkw35h9etsHIbQQVMjdWsHocONtyyBCudr\naIMZ4rBMgbyad846QHtuB5VmJYRqh4c7z8JXfQX8t//N7U/sEnyvAcTTrcwz4fv+MrznS4W3v10e\nkdwJFxefqN+kU53qCdYT7PxV9cPAh5d/70TkV4C3Al8GfOFytb8F/I/Ad6rqAfiHIvKZj96PiLwI\nnKnqzy5f/yjwHl4H/B+5zuPf/x8e+fJnga96g6f9ZcD3Lv/+O8BfF7uzfwYIqvq+5f72b/ril/qk\ngL+q/nePfPmzwL/2iXx8X4UbiaxQzryQNmcEN4NXDhOwGLoccmYaJ1xQDsfCPlf6EbpoWv/tBfgg\ndFFYp0hcDgs1T1SdOJSZl14xQC3Z8uHPOvisFxwXjadpV7jQgAoSCjpXJCjHWkiloDVSgieXylkb\necZ72pQQgeMw8NKUuX/dczMArrLvYZscqy6yxdElz3E2h8JxAnFCmSCoMFVlmmEoFjxT67JeXuxz\ntdhefp4Nemgt/rhbw9iZz8CQYZygnUyy6D3kcUl0dcLd+xZ9KyMMWSlBSQsJcnVm3b0m67pzhv2N\nudjqDBygrqzbZjStfpgt/bC7NEJgU+1A0hehnx27XBl7IYhHRQjqOb8DjTg0ijnSKcxhkeLNUJO9\nHwFYr+0AEJy9tmFxbpwm4woMAu0AvoGkjho8ZYbjwUE19v46LWqABNsGghdmtYNbF+0gEKN59idv\nEcGpg00Hz1zC+fmtY17D9/9l4bu+R5ESUDXA/6I/AX/2K4Uvf89Dgt6pTnWq161nReTnH/n6h1T1\nhx6/koh8BvB5WOf+wnIwAPgIthZ4s3or8IFHvv7A8r3fbn0drz81uH2s3wBYGudr4Bngs4ErEfkJ\n4J8Cfhp4r6o+nvn5qvrdsPP/WmzH8gmry1XDei6I8xSEm3FirhBLpu080xL/plRGyVzfrya5m63T\nLcBmK1y2gdQmZhV8nTke9lwNcOgt533KBihB4YULeOGZM85SQsSjvhLFoVIYRmUYK1KEVhSnDhci\n7RLpGx0Inl0/8sFXeo65cJwzTgXRQgiWdX6WhKKRYRBcVY69gjOW+1iVuRiIHSfT4VOsc+0ne18m\nMQJdK1AaA8pVa0DozI6fPEDnhJzVkueKyfech7kXKmJ2xzNkUYJTygwuCNvODkFNIwyjjc37xb5X\nRvArIYvJ77JAmLBcgw2stwKTTSWyCuMgXE/CNFXcHKgBvHrWK9hEWK8drhVctqlMuwC6rS7EKHEr\na6bTIr/b7+0QMs9iCgSBsluCgSIwR2ZZdvXeuvu2gW2AzbnJFGUJ82FZEcQAd7b2PnaN+SBINFfC\nzQrOz8w4p21bQgjEaIco5zzf+k3w5e9SfuIn7XD2r75H+JzPOQH+qZ6S+p2P/V9R1Xe+2RWWEfl/\nCfwFVb15tCtXVZXbqMlPQInIVwHvBP74b/GmAfgXsQPMr2N4+jXAj3ysGz2REpGfBt7yOhd9t6r+\n1HKd78Ya4x97k/v5BuAbAD790z/94/LcxmOlt5k3ra/cab1NkmtiqoVahF2fGUtmMAk9DhvdPrcJ\nRptSOBbleD2wm5Whh3lSSNYhb1o433qe2bScbRKNJCoV5+HQT8x9YaiVkByhiMW6JketlU0QSnFU\nHHcPI+Oy0J/GgriKSkWqIs4x5YgUh2TPoGL2uigzwnEPNQhzgSi2b2YhyR2OJrUro3XXkkBHY+Ln\nCtLDlAz0QzUVQlVHFuVmNp26j8LY24GCDCpm15sUZhESBnRlNhXByy/ZXn6qBuz9ZJ4HHuMQ6EEN\nINdw9qxQFxLhNMH9nWMaBNVKGYxc4Tw0wbPewnrlcB62wTrt0Jh+P2OPmauwSrZfr711/rvRzHvu\n91AnYW5guLbpRwnQ4FFxFG8yvybZe/XsykiSXWsHO7909ylZd3+2tsubYAY/bSP4ZHkB24354W+3\niRijZT54xXvLf2B5vreWuZ/1WcJ3fvvH5cf+VKf61KonDLsiEjHg/zFV/Ynl2x8VkRdV9cPLSP+l\nj3E3HwTe9sjXbwM+KCIe+IXle39XVf/Sx3guXwx8N/DHVXVcvvd9wLsAVPUPLo/1duADIhKAc4z4\n9wHgl1T1nyy3+0ngj/DJAn9V/eI3u1xEvgZ4N/BFr8eMfOR+fgj4IYB3vvOdH5cfh9WmIeRsTPkK\nhzIxzJWcC8dRGQ/KbP4ndA62G6EJjmkSXrpWA8JBKYIly83K+syIaNtOuNx2xiFoGkp15KmwGwai\nL9yUyipGyJWVr4gGEKXimMZKzgIJ5lypteKCUubMblDmqVC9oNmzis5y0J2xyA+DkqfKJIJU0Co0\nIuhinTtOtnbIs63SnF8y7b2x58sI2oGf7aBABJ0dNVjwzW4EFxU5ChNGgBwHmLMSHewraBZiB7se\n3CzGiyjWXWtvagFphRQtKlcCrARiZ+NyH2zfn0e4uhFyEHQQhrniZm/mPsVxcWlJh23niAiNt/F9\nWnwDugI12g59u7WuWaodBK7uGmFxrGalnCdwkxkpTfeENgVqWqY8jSd4e5633Ia48Ax8EHPyi3bI\n6BoD/ybaZGO9ssNiimaU03WBtg2E4BfAN86Fc/4B2C+/Fx+PH/FTnepTu1SeNNtfMHD8FVX9a49c\n9HeBrwb+yvL3T73p07RDwo2I/BFsbfDngP9gGbn/wd/kc/k84D8CvkRVHxw2VPW7sQPB48/tf8FW\n5f/9Mp34OeBCRJ5T1ZeBPwE8uu543fpksf2/BPgO7JRz/FjX/3hXVtjPBRjJs2PKhVEqh/s22vbO\nSHxOhFmFm5ulE4xKgxIc9A2skpKCs27XNXRnjiY4RB3TLOb2Fzw6z8woGaFVQaeMC4E8V+qcUQJB\nHNELTRT2e2WulTkXhlypU0Wc0MZAEKGmSMmwn5ReK6WY/CzgCM6A+TiZa+w82Sg/evOld0vUbM4w\nJ0jZunrLFrDx9rxo9r1XSi+ULKS46PgxVv79HlSEiHC9g4gwzbC/C0QbedcR6CBk+z2uCTq1uN6L\nO3ZQmqswjkqpsNubT34+VsZRkOrRBKE6thcmWWsE1o0Qtxbz68UONCHY/nytMLfmuHeocLUzYuY4\nAQiTgOuhRihH8C7gW6EUOFt5yxCIsEoG+mcbcDOstnYwiQ58Mm9+nJEOGw/bM2HV2QGhaSAEt+zu\nPd6b1Z5fdvzePwT8E9if6lRvUE/W4e9fAP514JdF5JeW730XBvp/W0S+Dvg14E/f3kBE3o8FWicR\neQ/wL6vq/w382zyU+v0D3mBniJPhHAAAIABJREFULyJ/FfizwEpEPgD8sKp+L/ADmK3Xf7F8Hvy6\nqv7J17mLHwH+ExH5/4B7wFcCqGoRkW8DfmY51PwC8B9/rDdA3qTpfmK1PPkGG1kA/KyqfuPHut07\n3/lO/fmf/5gHmo9Zf+Pv/c8MeWCalN2NcpXNUc9NsNoYITA1QmigFSF6M2QpIXCYRtpogDSjRB+Q\nUmhiy3HMdDEQvFBKBueptVCydfaiBdRbLo0Gogt476mToF4YS6XOFa+VYym2UxYhO4ebPVqF4oVc\nlMYbgW8ucNY4diOgWIIextKXsiTjiRH4NNluPSbr7p2aw13Oxu53fhnRF3vtJd9OCsy/f0CQHq4m\n4wq4WbjZm50tYgeJQ8UshlEmoCnmYXC5sbF3iCYrPI5Kro7DCHUW8qTUyTNWS77rAsQknHWOzdqI\nc5LsdY2LpE4aIS6BQVQj5xXscHfYgU8G2GWw90GWiFmXgjHsxVFFSCubjsQILsFlY/ffJsGJRQN7\nscNGaGyPv0pwcWEkQgN74100TSAlCCEAbunuIQR/6u5P9XuuROQXPtZe/bd1v+t/XvncN+K9/Sbr\n5976RJ7b75X6ZLH9P/NjX+vJ1Yde7rm/U4bF7W0rsL4jpC00IjSbhlWwiN6ZTD8LU5nxqvhZ6YtA\nKQQRms6Zxr1kMwjSmeOoTAXGYaINjlkFV4UYGqR4vARcFMQ5ylgJHoZc0JI5ToW+gp8cbeuZvccX\nGymDAbGrwqDCsTfwv7tbdOJ5YeyLHWbmuuzr0/LHQ24dczVVw5JhhBbb32t9xOf+oGa1Owr72aSB\nOgr7IzQbmyZ4MaJc7e1294sdANJWefYMzi4hBsGJ0E+Y8uDKkvjGo6kMyAFaNTncFl4882wbIBhf\noF2Ic1VAqhCKkeXmGeTIAzOjfmeHG52FcTJAnvaL774PJBFchCY5Qme2vcnbQUMcnHd22AjOpHtB\nF57D8v6lZQqw2QhNA03jUFVSSqRkGnvnHCK3I33Be3fq7k91qt9unRz+nmj9bmD7f8Lr7l5xET6t\nNU/4VXR0qxWC0PiCIhznzIeOE3k0W98+gxdLzGtFSSkSvFApDIN50s/zwDBajK/OFUdirh7U0a0j\nURxtFGI0S9lxKEy1sttnxt6cdLadY4Nnc+FtvTAbW/9mhHkSFKGfBMW691ptTZEH7H+zLgEzwSRr\ngqPPyoz5C9Sq+CzWNS9+96ODabADwTSJydx6wRWLyu1a24HP1bLuD6+YBXD2Jr/bbqFp4Z99h5n8\n4Bz9EY6DcvfKcexBnVAOCku37aMBro9w58wT20WKWE1G6JIZLtXB/u0Xo6EhL7LJwSSJQRb73QAc\n7LrNylN7YbsVgnc4L4S0eAL4ZbqDPe/Vwr6PwVz6stpnTtNYHsMzz1gUcNMEnKvLCN8TIwsz33Pb\n4dvq4QT4pzrVx6VOwT5PtJ5K8P/nPqPhWApdE0k42pQYhp6rYeLl0UBOUToMnGqGywSSAlorqOfQ\nz5RijPRhiaqV7BcAiLTJEXGcNWnhDjimGe5VRQ+FYZjQoJao54Xnnk84FYbZ2N8v7Rb7XGCcHeIN\n6Nzio68jjMk6/JSsGw7OPPJvjtDrYsyT7XW41rFpbW+fgyW21WWKMfawH4V5bxp9KUIqthdXBzev\nwKoVhqiMewPN9VZ561uMS9C0wjR6rm+Uu8XuuyDkg1rnHDyzLJMAB5vOkzrbpbtg9rtkm160SfBL\nFo0U2AvMByMl9jMQzBo4e2PWTyO4KOjgaTqhaYQgQves2eKetTbC7zqbVKRoFsmbtR0inNh7HAK0\nnUnvmgY2G0eMAZGC9xERh/fGg3AuIGI7/BBuO/zTB9WpTvVxrVPn/0TrqQT/s7bFLQY+V3Pluu8f\nxKB30XTmo8BRzOa1S47DWMmHTM5QneJmI7it1p4oSmw92zZRZ2HlE7Nz6AQ3o8NLRSiEUPFkSigE\nURrnyLVBi+cj14LMylgecfOrjuiNuc9s5jRlsJ192i4mr94xzMqY4Vgtrc7If8L5WhhnM6vpR7i5\nq9xMkGfh0MO8E3q1+28X1n9cme5ePeQgyKhcXkJaK5/97NIte5iqZ7cXXrpfmYow9LrY5JobzVyE\n1dbG59FDt7aMAbLgO+u0QwspLXq8laX4Xd3Y2mLobaKROnBFqMEMksa9Gfu4wTOKsD4Xtq2z+6nG\nyseZ1DJ6SI2RFdvWpiG1Ll78auS8FA3w12vr7m13L9RqgB5CwDkw5c4t2AshnAD/VKc61aduPZXg\n/9HrIzdjpRTFuwVEnUXFXt8YuJbJtP1HJxz21axgcaBK0wp4AxjnEojH49HJrGRHEZ7phNpUNFT6\ncWa/z+xHpZ8Fh0Nc4DB6JNikIRdlHgERPMYRcMFCcppo3b0UiI0js7jzKUhRYrFx/Co6s55VOI5w\nfQ3TpBxVONyHw04sTz6bkiFFM6gRZ6Q/OmEelVUH7QrecqlcPGOhNqnxXO2Fj74MU9YHSX1ShaRQ\nqlnm+mTrhjsXjuCFVWMALN4OAl1nBjjT0YIdbu4aE9+Jud9VZ+6J7Wqx+S32emRy7CbH5ZkpDFYb\nCyDyLGS9YIY73Qqit7VCG+0AUcpiVezsui8sWvuUZCHoObwXVG3k4FxdJjgPAf/U4Z/qVJ/AesLB\nPqd6SsH/6lgpsyIO6qQcZ+sEi1paXH9jci8HJKdoMte65B1URXtHSi3iHHdWnpgCKVS8OCaBPBSu\ndsphKvRTZazVOl6JRC8cJ09ZQHhmYc5Xh082Bpdlt64F1hvHWE0Kh8DsFDka63wbHWM1N73dDq6A\n431lX4Xr+5B7GLLgJqAVNhtIA6zO4bgE5PRYAOxqC3fOlDt3YNNYlsEhO+69LAxFGMZqufSzjetl\nEqbgGZbDwvlKuLMR2q2QHFQxr37NZjR0ONgB46N3zd638Ysjnof1BlwVxmJue1qNWe+SR73wzLlj\nHY1Ul9VUCetgUjwfLWnPLWAfvHXzLKDfLmTHzcrY/G1rYJ+SAb2q+eI7pzgniNyS9k6Af6pTfVLr\nNPZ/ovVUgv+mUe4drXv1cQmIESPK1eXfc7Fs+TlDcB4vlS41pOi52AiNc3j1zEEoPdwMcBgqIpVh\nnhiy7dsRoWpinh21CJNCs+yzU2shM5aIJzQCDkdcwThbDFzvFJkMwFoHU3XQmJHO/T0M9+BmUnaD\nMPVQBiFP0J5BXAldNeLaDBwPUDphNyqbDpotvOU5k+BJhgnP8cbx0ksW4zt5aIowlbocMCwBcJXg\n7Bw2K9uxr9eCL4JrofTm7pcrFi2bbFWRvLHxWwdxY/v2IqavdzMUsekCKmzXQhscHsALIouxjodt\nC+uluw+L3j4GO1i4YKx81YWwtzbWfddF4kK0lOUxVXlA0hNZphbLON8OASfAP9WpPql16vyfaD2V\n4H93p2i2sT3YOHh3MMDvEkQRQus4uyMkgdWmpfGQSmSKgfmozGrpbt4p4ivDWNkfZ6YK+1GZB8FJ\ng0uOoBZxG+ISC1vFVgfAJpqtrxOlKMyilBEQ21n74sgKuxv4yARMcHWt9JMwTMv0YDSJmqyFi0vr\nfhtnCgGNsF/u7+IZuLNSS32bQZLnuBM+eCVUINeKVkVnZS5QsnBwkJynE3jhrULTGfg7BJeE8WgH\njmM1a9xmifYdD9BugWxTjOqMSDguBEWvJsNrnccHYdU5GhXS2sb9LPLG7ZrFxtdWCm0yboZ3tp5x\nzpJuNxsj7RkL39F1kZQMyAFqFWrVB4B/29GfAP9Up/pdWqfO/4nWUwn+cTJ/+ZujSdN8gjsb4Wzt\nKE4IoiCeqIlJHXX0HLNjLyaPa7xjP1TGrFwPhf0hc5ise0YcnQ+sW6EU68I1LEY4KmxaIXrHMkGn\nOJiLGhh7YBZyNTB++Qg6mFvf9c5247ViyXUKaQOXlwaWmwCH2ZLnpknoq1kOb5x16ecdzBmGg+f+\nPc9xNJAPjZJHYabiFY6T4FpPV5V0AZfnzrprDxnHPJuRkBRzq4ti6gGv1oVrXDICNuYu6L0g2Che\nBbroCQh+DW2wIJ6qYuE/3tLtQrIOHzHeQxMX8l6y66TIA/Mc781NL0Z5xFHPgD5nG/2LsDD1/QP9\nvbntnQD/VKc61dNZTyX4pw0wwZ3OuvyhCNE5DruC6xqKRFbikBDYtoIWGKrQ98qHXqn0M5SS6Qdz\n4UsC6+iJTWDKZnuraoY8Z1tHiuZBL3Ibd2uEvLzkxU/FEQPsrs3/fpzh3n0DZRZb3lKsC9at8Nyl\n6dTrDLuKOfvdmDnNmYfVHeXy3Ax8qJ7j4PjAjRHx1FdcVgsIcnC1N4DV4lk38BkvOLYrczmcFcbR\ncb0D9SYjDGJjd8kWf1uLTR9ElqnGKLTJ1iddXCYE3uMEmq2j9YIEwctiTKTG0L98Hrpoe/+2uZXl\nGTHPeyFGfeCHLwIxGshbh+9xDkpRcrY/Bviy/HEnwD/VqT6l6sl6+5/qKQX/xoMi7G6gOKH1QtO2\nnF8IURzRBe72wv7K4l37QVFXGaZKnjJVlORhJY4aA76KhdI4YR2VthMab9r8cYmVm4qx+mWGI0IT\nhL43q9o8wfXBgnIUS9VzRQjRQPS5c9O+6wCjh90RdBLwSooWPnTn7WY5iwrD5LnaO4IouUIjShOF\nWivH3qR/qGfl4dOeh1XrOFvBYQ9zFXbXYql81Ubr2zPoPBwGI+PNSxqDyK1dr3XWyYHvoOKRaisC\njyNG09fP2ex5Vwsrv/HQrc0+OVfjBVwuxLyUjIR3C+KqsuztPV1npD1Vsx3OuVp4j/BAivewyz8B\n/qlO9SlXymns/4TrqQR/VwMpKU3wpBRJLrA7Bu5di/ncj4J4pS9KHhXnCi7PeOeYRYnqaJtAmWEd\nHO3GkdQUArUKWcwzv5/EcuobgVkYBwO5eYKP9rA/msGMTjwYoU9qITIOmyj0A9zszaqWZOS2bYLt\nW5TzJUSmTJ7D4Nn1SvQgvrLKFg5UBO71YisJF1h3yguX7sHOfB4gZ8dLL0OztoS8uKTRTcPilT/A\nNdb1B2/OdjMPu3NxjuQc6qCNjsYLeKFk29Erto9/8Xkj6uVijoAiRkY0L3yhaZQYjYwHDhElRkdK\ngZQ8MRqAlwLDUFF9CPgpnQD/VKf6PVWnzv+J1lMJ/sc+MNfAPAZUPYfedOHjtABWqGhRUq7MNTNX\nhxMhinAeI80KzppAQXFeqNnSAOcsyAAaBUEIxQ4Bh/vLPn5vznt1ABqIxUbn3RrGbGP1MsJ0c+vE\nJwRVVg1cvADPXpgz3XwU1Af6Wch7JTtofUWScMiVwwDzHpw4VIRtZ/G3TWdkQ+dBvWMahdBBVyGd\nm7RQ1Dr8cVoIigIrb+sHB+a8p/DM2jOrAELrHerNYVAwzX7TQDyzqN6QhFVrhMogS9RtgtXqVmIH\ntS62flRScjRNpGncYrij1CoPAN+5W2tdh3PuBPinOtWpTvVbrKcS/PeHNX0Rc5HDImJLrrQoB60M\no5r4XqALQruC864lBpOO5WwOgHMWysHyASJCHRyuMZe6LNDfN9e93IM2ELONzEOEPAkqJjXcv2wM\n+bvLDnydYLWGywvlYmsmO5XAYXLsd9CslDhDapW+VK4OcHMUjj2I96xaeO7MWZCNNyKhAuo8EZse\neOyx59nIiP3BiHWjLDG2CGNeeAMOzjeeEM18qFYz2AlOcGrP/XYKsO7sgHLLsg/JFAApmcFP2zqg\nIOKYZ7cAuSLibAqTTJJ3S9g7HisAzumrAP+Wqe/9CfBPdarfk3Ua+z/ReirBfx6FAKzE9PQ7Vbyv\n1FzMFa6pnLWes84YZjU7sleOE2hvXvIxQucc+8ZxfTAzm76Hm721xtNovviSYSqWfLf3lvk+3rPx\nuXbQF6HZKl2E51dwuYVVhFw9OE+eoCalAbZNJYtwdaxc7yH3jjo4VheOFJS3PutoGpskUGHKgg+O\nkpegH2/e+lphcKav92vT5m8aYfECAmzv/uwdj6gwZ2EuzvLsg7H8U7K1QRMfjt7P1jbJEGfj/raF\n1cot43pL35kmJcaI95W2DYQQCEGXvb7p9Q+HgqqZ7tju//EOH5xzn6wfn1Od6lSfiDqN/Z9oPZXg\nj1NygVkrq05p10qIi7Odc7gcKSLMXsi9AX1R6MTRB2EYhKu7wlTNj35YJHjDBFKV42gd91yF1Bnw\nFkyudhwgXSzJdQ28445yeWFEQCMNmN9+42z/PQfl6rrywQGOR4Ed+JVnu4b1Hcf5dpErNsLhCNU7\n5klsahGtGw8d9AWodpjuPWwqhJUwZZPlqYdnWk/wQpnEXv9scbxdA62aKZHDJgebtZH4wA4KPkDX\n3IbiBGIUVJVpMlOdpnE4p6xWCe8dIZhErxRlnm2HDyCiC3v/YUKe6fBPgH+qUz1Vder8n2g9leD/\n3EXFRyWgFBaZGlBcIk9AFUIy17oZuH9jK4JhFvIkHI7CNNkBIngbnU+TgaDrhGdWxuJv1chpPUJS\nJQT4jOfh7MwsaZNz9JM3eVuy8f6hKvMRPnJTucngDtb1nl86nr2jdG93BG8mNxaAIxxE8AchLQ53\n7Qr2s432gzOeQZdAs9BXkwM2y6Gka72N4DOM2VELNMncBmO7JO0txj1dsnhf5+xQHr119+u1kJIj\nRk8pMM9Kzst0pBO8jw+6duvwTY53OOQHO/y2dQ8AH06Af6pTPdV18vZ/4vXUgv91L/QFNCuqyZz6\nEGrxzBN8+GWYZtgvbPh5b435NEFKyjRAxchs3eIrP07gj/z/7Z15kGV3dd8/399d3nu9jZYBBEJE\nlJErxVIRMBBibENsIgNOAkkAL7GFEgJlExKc4GCCYkdxiiqcBcp2MIkKiBCFE8yuCjvYRJCUVMzI\nYg+GOBKRIhAIbTPdb7n3nvxxfq/nMeqebo2mp7vnnU/Vk9679/fu/d13Z+Z7z/mdhXtzIZqFEhYP\nwMFzzSsHdqJNJW3rqX+jNaNLcOxe446m4/6jXlO/HIn+UuKilcTSo7x6n5lb980EIDEcQw9xzop7\nHerCrfuqhdWJP5T0Ky/4s1D5Q0A5gIcP/GFiMhGj/DLzKP/zlt2VTzdNt/MWu1XlD0e9vh93MHDr\n3pvflEwmLU3jFnxRwOJioijKbLkbRZHouo6uM0ajdj1Kv6pSLtRTACH4QRAEZ4q5FP/v3+3WsKhQ\nKyaTxD1rifGqcf8aDBsoxwnLa9GTia+Tr666ACYTg4Efq1uFYQn9RbFcG+UAHnW+V7srk3fwG7UF\nw5FYm7gfa7hqrLZ4SeAJFGOxspS44DyxWENRufj1B958pzXPHlAnFnu+hLBUuqs+tf55DCzV0CGW\nc+DgUt8j7kmJri0oEgybRDeExb5YWc5eD/n1DQbQr+Ttb2sX8s5gYeBue7fiiyz4DeMxmLX0eol+\nf1ojvwC6dcE3g+GwoesEeNDe8Y55IfhBEGxCuP13lLkU/9Wm5q4fiOFqwbGx0SajTp5/n1pvqds0\nHpHfVbBciKb2AEFy5L4WoDJYPM8j3M8ZGHXPu/ONJwXjRtzf5Aj/3LL37rWW0RogsViIqpd47Eqi\nXPDSf+q5276bQG8gJkOPZC97MJALMeTGQANg7HEDi0mkGiYjWOlBUSZSkWhHYnUsSkRZiCQPJlw4\n53h0flFk677OPQF67klYXEwsLop+v0QqaBqj67wN8njc0O8XvsyR2952nVGWCTNvP3ii4Pd6oihK\nvGWussUfgh8EwSaE239HmUvxv/27JU0Lo7HX1DfEfWv4Grxll/ei188vGsAg1XjZ2xV/f94SVMDC\ncpEr3hUcXROMjIYctd52dGseG2CtWDqQONBz0SsqL4NblMA06p5EN4ayL5qRr+v3B6Aup9Pltf4S\nL8nbFu7Or0volBgokQrvKTAZi7oS5y+5FZ+Sz2lQA0ksLcAgF9gBL8IzGBTUtVHXJVKZg/Fauq5B\n8kI7ZWmkVNJ1YOYpetBSFInRqMFMmHWbCn7k4gdBsC3C8t9R5lL8V+8xjrVeV78zrzW/vOS94heA\nXgej0ovbFBhK3hhnYcGt5F4l1tYK2lLcfZcXvelaaEpjNG7phjBOold4l7qBRFF5hHtXeqlczIvq\n0OQywBK9UY6oFywse5OcMrlFXpDL46ZpIJ+oFwq6FsbjRJlE1fNSu3XPXfilcutawcJAOf/+uHVf\n14nFxYJ+H8qyom399+m6hsmkoSyr9Sh9SLSt1svoFoUBYjxuaVtvwzdtm+su/BD8IAhOlajtv9PM\npfinGg6YaJSwxl3hLS6WhXI9fWDhgLHUh36vYDwRzUSstYl774Fe31hdBUtGt9oxNry2f50oVyBZ\nQVnjrXlz9zkxtcATObGNOnlU/XIB9QooF8wpCxfytnPxTpbX43sFayMX1tGau/OXl9wjMBj4OayF\nqueehaVF327mHodez2sB9HoFUOTe9u7Kh4KiKBgMasrSPQVN40sgVWX0el5pbzLpGI38sdwt/CK7\n8F3kQ/CDIAj2NnMp/gtVwf3DnLOexBBjufYgvcEKnD8oGJnRjAqGbWJ8DLrWsMbb16KGe+8H9USa\niGIhsdIK1YmUC+lMa9ovJBhKjI952uBA8noCA+hlwa6K6Xq+lwoedS7gvQT9gRfa6RpPhWtbz7sv\nc4tbzPPuuxZ6lTiw7Ol3dU2Oqi8YDBK9nlHXNV3n5zHraJomR+UX9HolKXV0nRiPPX2xqox+n7yt\nY23tuOAvLITgB0GwQ0Rjnx1nLsW/Eywveb774FzjQF+UJO4b+lr53W3yHP5kdJ3RdkYz7JgkKFtR\nFonBAtB4sF5BFvvc8hagbRLjFsYlLJpYXoGFvhfCSckFf9QJTbzLXpE9BFVPLFYF3VA0nbCJSIV3\n+JtG4VvnDy51T5Slt/odDDxWAQqqKlGWRr8vyrKX3fLQtm0WZyEVLC1VSO264EuJqjIGA0//c8F3\nH0VZkgXfo/pD8IMg2FHC7b+jzKX4P/FHoBkXTMyYjAruOSpkXnym69zF3o1bVpORJBJCvUS/BVFS\n1kYJLK64CHf4fyZtYmhePGepJ6plWCw9d164Jd51YjyCSeFd/Eyw2CuwVnStoEvQeqOhSrC0zPoT\ncNd4zMHCAM4/j9zfXpiVlCXZuq8w8yh6yfLafaLrvNhOVYHkFv5oZOuCv7CQ6Dov0LO25rn4IfhB\nEOwaYfnvKHMp/qvDmsk4MW7NA/oMuqaDuqMwGOWytl0r2i4xqMVS7Ra2kmETaJKnAo5aUQoWaugv\niQOLOce/gmYCw9Zb+apw17y63M1OCZlX1BOJTi74g4EH1PVzGp61YmkFj84fuNcAClI6bt3XdUXb\nCtdjY6rLZqKu6xyhT66+5xZ+WZ4o+A3g5xwMQvCDIAjOZuZS/JsWmsYoy5a2MbpWpFqsriZaYDEV\nFDUcXPKo+NYb/DEee3ZAUeXytwtiaRkGpYu9dZ7TP56IY2uQchvcfi1IoqxEa4luApRedGdhwYP8\nBpWfpyqgqLyM7oFl3991CckFudez3NGuWhf5rvNc+q7zqHzf70I+rZ0PrJfb3UzwXeBTROkHQbD7\n7KDbX9JFwLXAI3Afw9Vm9ruSzgPeA1wM3AK8xMzulnQ+8D7gacA1ZvaqmWM9FbgGGAAfBV5tZg/w\nW5xsnKSXAFfluXzRzH5xg+//U+AfAA3wPeDvm9mtki4F3gqs4LHrbzCz92z1G8yl+NO2tJ04do9o\nClEp0esS560YdeE95pvWy/tWpahKr4s/WIDFZZE6WFzwoLu2gWEn2rHfkdT5trIWVZK39sPX2VGi\nBKqlXBe/9tS9Mom6f+LafQWIqjKKAuq6xCzlNDtyfr3HJEheLa+ufX/XueB7lD70+1PB71hdbfE0\nPKPfTxRFyhY+uWNeCH4QBHuAnXX7N8BrzOwmScvAEUmfAq4APmNmb5T0OuB1wG8AQ+A3gSfm1yxv\nBV4O3IiL+nOBj21wzg3HSboE+OfAM/ODxsM3mfOfAofMbFXSrwL/Bvg5YBW43My+KelR+Vo+YWb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IrNabiOaYnJKVuWqdwJTnYdkrZVonMv3I8N2M7vuyfuwRZsOUczu2/m/Ucl/YGkg/uwxfd+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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1159fb0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "ax = fig.add_subplot(111, xlabel='Price GFI in \\$', ylabel='Price GLD in \\$', \n",
    "            title='Posterior predictive regression lines')\n",
    "\n",
    "colors = np.linspace(0.1, 1, len(prices))\n",
    "colors_sc = np.linspace(0.1, 1, len(trace_rw[::10]['alpha'].T))\n",
    "mymap = plt.get_cmap('winter')\n",
    "mymap_sc = plt.get_cmap('winter')\n",
    "\n",
    "xi = np.linspace(prices_zscored.GFI.min(), prices_zscored.GFI.max(), 50)\n",
    "for i, (alpha, beta) in enumerate(zip(trace_rw[::15]['alpha'].T, \n",
    "                                      trace_rw[::15]['beta'].T)):\n",
    "    for a, b in zip(alpha[::30], beta[::30]):\n",
    "        ax.plot(xi, a + b*xi, alpha=.01, lw=1, \n",
    "                c=mymap_sc(colors_sc[i]))\n",
    "        \n",
    "sc = ax.scatter(prices_zscored.GFI, prices_zscored.GLD, \n",
    "                label='data', cmap=mymap, c=colors)\n",
    "cb = plt.colorbar(sc)\n",
    "cb.ax.set_yticklabels([str(p.date()) for p in prices_zscored[::len(prices)//10].index]);\n",
    "#ax.set(ylim=(100, 190));"
   ]
  }
 ],
 "metadata": {
  "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": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
