Raw File
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing FITC approximation to VFE approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:29:26.468064Z",
     "start_time": "2018-06-19T12:29:25.451449Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "from FITCvsVFE import *\n",
    "\n",
    "import logging\n",
    "logging.disable(logging.WARN)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:29:26.473571Z",
     "start_time": "2018-06-19T12:29:26.469225Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#setup stuff including getting the training data.\n",
    "\n",
    "tol=1e-11\n",
    "predict_limits = [-4., 4.]\n",
    "inducing_points_limits = [-1., 9]\n",
    "hold_out_limits = [0.20, 0.60]\n",
    "optimization_limits = [18., 25.]\n",
    "\n",
    "xtrain, ytrain, xtest, ytest = getTrainingTestData()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:29:26.829333Z",
     "start_time": "2018-06-19T12:29:26.474597Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Exact model parameters.\n",
      "Likelihood variance  0.0742854751274379 \n",
      "\n",
      "Kernel variance  0.9004856997582742 \n",
      "\n",
      "Kernel lengthscale  0.5824997091730746 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "#run exact inference on training data.\n",
    "exact_model = getRegressionModel(xtrain, ytrain)\n",
    "opt = gpflow.train.ScipyOptimizer(tol=tol)\n",
    "opt.minimize(exact_model, maxiter=notebook_niter(2000000))\n",
    "\n",
    "print(\"Exact model parameters.\")\n",
    "printModelParameters(exact_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:29:27.043719Z",
     "start_time": "2018-06-19T12:29:26.830704Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1fcecad588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot the exact solution and the training data.\n",
    "figA, axes = plt.subplots(1,1)\n",
    "axes.plot(xtrain, ytrain, 'ro')\n",
    "plotPredictions(axes, exact_model, 'g', None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:30:35.974909Z",
     "start_time": "2018-06-19T12:29:27.045294Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "repeatIndex  0\n",
      "repeatIndex  1\n",
      "repeatIndex  2\n",
      "repeatIndex  3\n",
      "repeatIndex  4\n",
      "repeatIndex  5\n",
      "repeatIndex  6\n",
      "repeatIndex  7\n",
      "repeatIndex  8\n",
      "repeatIndex  9\n",
      "repeatIndex  10\n",
      "repeatIndex  11\n",
      "repeatIndex  12\n",
      "repeatIndex  13\n",
      "repeatIndex  14\n",
      "repeatIndex  15\n",
      "repeatIndex  16\n",
      "repeatIndex  17\n",
      "repeatIndex  18\n",
      "repeatIndex  19\n",
      "repeatIndex  20\n",
      "repeatIndex  21\n",
      "repeatIndex  22\n",
      "repeatIndex  23\n",
      "repeatIndex  24\n",
      "repeatIndex  25\n",
      "repeatIndex  26\n",
      "repeatIndex  27\n",
      "repeatIndex  28\n",
      "repeatIndex  29\n",
      "repeatIndex  30\n",
      "repeatIndex  31\n",
      "repeatIndex  32\n",
      "repeatIndex  33\n",
      "repeatIndex  34\n",
      "repeatIndex  35\n",
      "repeatIndex  36\n",
      "repeatIndex  37\n",
      "repeatIndex  38\n",
      "repeatIndex  39\n",
      "repeatIndex  40\n",
      "repeatIndex  41\n",
      "repeatIndex  42\n",
      "repeatIndex  43\n",
      "repeatIndex  44\n",
      "repeatIndex  45\n",
      "repeatIndex  46\n",
      "repeatIndex  47\n",
      "repeatIndex  48\n",
      "repeatIndex  49\n",
      "Sparse model parameters for VFE optimization \n",
      "\n",
      "Likelihood variance  0.07428600973011681 \n",
      "\n",
      "Kernel variance  0.9004883873957494 \n",
      "\n",
      "Kernel lengthscale  0.582500143886745 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "#Train VFE model initialized from the perfect solution\n",
    "VFEmodel, VFEcb = trainSparseModel(xtrain, ytrain, exact_model, False, xtest, ytest)\n",
    "print(\"Sparse model parameters for VFE optimization \\n\")\n",
    "printModelParameters(VFEmodel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:33:50.544270Z",
     "start_time": "2018-06-19T12:30:35.976941Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "repeatIndex  0\n",
      "repeatIndex  1\n",
      "repeatIndex  2\n",
      "repeatIndex  3\n",
      "repeatIndex  4\n",
      "repeatIndex  5\n",
      "repeatIndex  6\n",
      "repeatIndex  7\n",
      "repeatIndex  8\n",
      "repeatIndex  9\n",
      "repeatIndex  10\n",
      "repeatIndex  11\n",
      "repeatIndex  12\n",
      "repeatIndex  13\n",
      "repeatIndex  14\n",
      "repeatIndex  15\n",
      "repeatIndex  16\n",
      "repeatIndex  17\n",
      "repeatIndex  18\n",
      "repeatIndex  19\n",
      "repeatIndex  20\n",
      "repeatIndex  21\n",
      "repeatIndex  22\n",
      "repeatIndex  23\n",
      "repeatIndex  24\n",
      "repeatIndex  25\n",
      "repeatIndex  26\n",
      "repeatIndex  27\n",
      "repeatIndex  28\n",
      "repeatIndex  29\n",
      "repeatIndex  30\n",
      "repeatIndex  31\n",
      "repeatIndex  32\n",
      "repeatIndex  33\n",
      "repeatIndex  34\n",
      "repeatIndex  35\n",
      "repeatIndex  36\n",
      "repeatIndex  37\n",
      "repeatIndex  38\n",
      "repeatIndex  39\n",
      "repeatIndex  40\n",
      "repeatIndex  41\n",
      "repeatIndex  42\n",
      "repeatIndex  43\n",
      "repeatIndex  44\n",
      "repeatIndex  45\n",
      "repeatIndex  46\n",
      "repeatIndex  47\n",
      "repeatIndex  48\n",
      "repeatIndex  49\n",
      "Sparse model parameters for FITC optimization \n",
      "\n",
      "Likelihood variance  0.019044405873230724 \n",
      "\n",
      "Kernel variance  1.3400583238808286 \n",
      "\n",
      "Kernel lengthscale  0.6178972740899767 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "#Train FITC model initialized from the perfect solution.\n",
    "FITCmodel, FITCcb = trainSparseModel(xtrain,ytrain,exact_model,True,xtest,ytest)\n",
    "print(\"Sparse model parameters for FITC optimization \\n\")\n",
    "printModelParameters(FITCmodel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:33:51.300780Z",
     "start_time": "2018-06-19T12:33:50.546366Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'FITC')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABLcAAAOpCAYAAADog8VrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJzs3XmcTfUfx/HXubMvZhi7JkvILssgO5EWJJTlJ6FCpUX7QpT2PZLSJkooFaVEsgtjBpEtZF/HzBizmuV+f39cu8EMM/fM8n4+Hudx557zPee87wwz3/u53/M9ljEGERERERERERGR/MhhdwAREREREREREZHLpeKWiIiIiIiIiIjkWypuiYiIiIiIiIhIvqXiloiIiIiIiIiI5FsqbomIiIiIiIiISL6l4paIiIiIiIiIiORbKm6JyBWzLOtry7KMZVlfZbH92BPtfzrxfOeJ5xdbbj9j/zZZaG8sy9qZO69YRERExD7Z6Tud0W/aecb+WelHnbt8lUmOIMuynrQs60/Lsg5YlpVqWVa8ZVkbLMv63LKsG9z3XRGRwszT7gAiUiB8CdwF3GFZ1kPGmIQLNbQsywf43xn7nWkOcPACu+7OZF0iMP0iuY5cZJuIiIhIfpfdvtNJEzNZVwa4iQv3r5ae+cSyrM4njlMMSAHCgf2AP1ADuBe417KsqcaY3hfJIiJyxVTcEpGcsBD4D7gGuBOYcJG2XXB1gg4Cs8/Z9oYxZmE2znvEGNM/G+1FRERECpLs9p0AyKz/ZFlWG1zFrUv2ryzL6gZ8D1jAaydyxJ/TpjbwElA1u/lERLJLlyWKyBUzxhjgqxNP+1+i+YATj5OMMem5lUlEREREcp5lWaVw9fscwKPGmGHnFrYAjDH/GGO6A4+7OaKIFEIqbolITvkKcAItLcu6JrMGlmVdBXQ48fTcSxJFREREJO97BCgCRBpjPrxUY2PM4tyPJCKFnYpbIpIjjDF7gHm4hqf3v0Czu3H93vnLGLPFTdFEREREJOd0OfE4ydYUIiJnUHFLRHLSydFY/SzLsjLZ3u+cdiIiIiKST5y4MVCtE09X2ZlFRORMKm6JSE6aAcQA5YGzbv1sWVYzoBquO/BMu8D+C7J66+kTKlziltUf5NDrEhEREcmLstt3ulIlcI3SBzicS+cQEck23S1RRHKMMea4ZVnfAg/hmjj+zzM2n5xI/ntjTMIFDnGh21kvzWQdXPhW1SeFX2SbiIiISH6X3b6TiEiBpOKWiOS0L3EVt7palhVkjDlmWZY/0OOM7ReS3dtZX/JW1SIiIiIFWHb7TlcqGjC4Rm+VAra78dwiIhekyxJFJEcZY9YAawF/oOeJ1d2BIGCrMWaJXdlERERE5PIZY1KADSeeNrIzi4jImVTcEpHccHJ0Vv9zHie4PYmIiIiI5KSfTzzebWsKEZEzqLglIrlhMnAcaGZZVgegLZABTLQ1lYiIiIhcqTFAAtDQsqyHLtXYsqyWuR9JRAo7FbdEJMcZY2KAmSeefoNrXoY5xpj99qUSERERkStljDmE60ZBBhhjWdYrlmUFntvOsqzqlmVNA95zd0YRKXw0obyI5JYvcU0iX/KM5zmtRBZudf2gMSYpF84tIiIiUigZY6ZbltUdV/9uGPC4ZVkrgQOAH1D9xAKuDzpFRHKVilsiklv+APYAVwNHOD0/Q04KAPpdos1QQMUtERERkRxkjPnJsqwFwCDgFqAm0BxIBXYCnwKTjTGLbQspIoWGZYyxO4OIiIiIiIiIiMhl0ZxbIiIiIiIiIiKSb9lW3LIsy8OyrDWWZc2yK4OIiIhIYaM+mIiIiBQ0do7cehTYZOP5RURERAoj9cFERESkQLGluGVZVijQEfjcjvOLiIiIFEbqg4mIiEhBZNfIrQ+ApwGnTecXERERKYzUBxMREZECx9PdJ7QsqxNw2BgTaVlWm4u0G4TrtrIEBAQ0rF69upsSioiIiLtFRkYeMcaUtDtHQaY+mIiIiJyroPTBLGOMe09oWa8DfYF0wBcIAn40xtx1oX3CwsJMRESEmxKKiIiIu1mWFWmMCbM7R0GmPpiIiIicq6D0wdx+WaIx5jljTKgxpiLQC5h/sU6ViIiIiFw59cFERESkoLLzbokiIiIiIiIiIiJXxO1zbp3JGLMQWGhnBhEREZHCRn0wERERKUhsLW6JSM5LS0tj7969pKSk2B2l0PP19SU0NBQvLy+7o4iIiEguUv8r71D/S6RwUnFLpIDZu3cvRYoUoWLFiliWZXecQssYQ3R0NHv37qVSpUp2xxEREZFcpP5X3qD+l0jhpTm3RAqYlJQUihcvro6VzSzLonjx4voEV0REpBBQ/ytvUP9LpPBScUukAFLHKm/Qz0FERKTw0N/9vEE/B5HCScUtEclxHh4e1KtX79Tyxhtv5Nix165dy2+//ZZjxxMREREpCNT/EpHCTHNuiUiO8/PzY+3atbly7LVr1xIREcGtt96aK8cXERERyY/U/xKRwkwjt0TELeLi4qhWrRpbtmwBoHfv3nz22WcAPPDAA4SFhVGrVi1Gjhx5ap9Vq1bRrFkzrrvuOho3bkxcXBwjRoxg2rRp1KtXj2nTptnyWkRERETyA/W/RKSw0MgtEclxycnJ1KtX79Tz5557jp49ezJ27Fj69+/Po48+SmxsLAMHDgTg1VdfJSQkhIyMDNq1a8e6deuoXr06PXv2ZNq0aTRq1Ihjx47h7+/PqFGjiIiIYOzYsXa9PBEREZE8R/0vESnMVNwSKcCG/j6UtQdzdnh6vTL1+ODmDy7a5kLD4m+88Ua+//57hgwZwt9//31q/Xfffcenn35Keno6Bw4cYOPGjViWRdmyZWnUqBEAQUFBOfo6RERERHKD+l8iIu6nyxJFxG2cTiebNm3C39+f2NhYAHbs2ME777zDn3/+ybp16+jYsaNu3ywiIiKSQ9T/EpHCQCO3RAqwS33C527vv/8+NWrU4LXXXmPAgAEsX76cY8eOERAQQHBwMIcOHWL27Nm0adOGatWqceDAAVatWkWjRo2Ij4/Hz8+PIkWKEB8fb/dLEREREcmU+l8iIu6n4paI5Lhz53y4+eabGTBgAJ9//jnh4eEUKVKEVq1a8corr/DSSy9Rv359qlevztVXX03z5s0B8Pb2Ztq0aTz88MMkJyfj5+fHvHnzaNu2LW+88Qb16tU7NZeEiIiISGGn/peIFGaWMcbuDJcUFhZmIiIi7I4hki9s2rSJGjVq2B1DTtDPQyRrLMuKNMaE2Z1DzqY+mEjW6O993qKfh0jWFZQ+mObcEhERERERERGRfEvFLRERERERERERybdU3BIRERERERERkXxLxS0REREREREREcm3VNwSEREREREREZF8S8UtERERERERERHJt1TcEpFcMWPGDCzLYvPmzbZlGDFiBPPmzbvi4xw9epRx48blQCIRERGR3KP+l4gUVipuiUiumDJlCi1atGDKlCk5crz09PRs7zNq1Cjat29/xedW50pERETyA/W/RKSwUnFLRHJcQkICS5cu5YsvvmDq1KkALFy4kFatWtGxY0eqVavG/fffj9PpBCAwMJDHHnuMWrVq0a5dO6KiogBo06YNQ4cOJSwsjNGjR7Nz505uuOEG6tatS7t27di9ezcAXbp0YdKkSQCMHz+ePn36ANC/f3+mT58OQMWKFXnuueeoV68eYWFhrF69mptuuonKlSvzySefnMrdrl07GjRoQJ06dZg5cyYAzz77LNu3b6devXo89dRTALz99ts0atSIunXrMnLkSHd8W0VEREQuSP0vESnUjDF5fmnYsKERkazZuHGj3RHMN998Y+655x5jjDFNmzY1ERERZsGCBcbHx8ds377dpKenm/bt25vvv//eGGMMYL755htjjDEvvfSSGTJkiDHGmNatW5sHHnjg1HE7depkvvrqK2OMMV988YXp0qWLMcaYgwcPmsqVK5vFixebqlWrmujoaGOMMf369Tt1jgoVKphx48YZY4wZOnSoqVOnjjl27Jg5fPiwKVWqlDHGmLS0NBMXF2eMMSYqKspUrlzZOJ1Os2PHDlOrVq1TOebMmWMGDhxonE6nycjIMB07djSLFi3K9HuRF34eIvkBEGHyQJ9Di/pgIpcjL/y9V//rtLzw8xDJLwpKH8zT3cU0y7J8gcWAD+AJTDfGqOwukguGDoW1a3P2mPXqwQcfXLzNlClTePTRRwHo1asXU6ZMoVOnTjRu3JhrrrkGgN69e7N06VLuuOMOHA4HPXv2BOCuu+6iW7dup451cj3A8uXL+fHHHwHo27cvTz/9NAClS5dm1KhRtG3blp9++omQkJBMc912220A1KlTh4SEBIoUKUKRIkXw8fHh6NGjBAQE8Pzzz7N48WIcDgf79u3j0KFD5x1n7ty5zJ07l/r16wOuTxy3bt1Kq1atLvn9ExGxi/pgIu6h/tfZ1P8SEXdwe3ELOA7cYIxJsCzLC1hqWdZsY8wKG7KISA6LiYlh/vz5rF+/HsuyyMjIwLIsOnbsiGVZZ7U993lm6wMCArJ03vXr11O8eHH2799/wTY+Pj4AOByOU1+ffJ6ens7kyZOJiooiMjISLy8vKlasSEpKynnHMcbw3HPPMXjw4CxlExHJI9QHEymg1P8SkcLO7cWtE8PeEk489TqxGHfnECkMLvUJX26YPn06ffv2Zfz48afWtW7dmiVLlhAeHs6OHTuoUKEC06ZNY9CgQQA4nU6mT59Or169+Pbbb2nRokWmx27WrBlTp06lb9++TJ48mZYtWwIQHh7O7NmzWbNmDa1bt6ZDhw5UqlQp29nj4uIoVaoUXl5eLFiwgF27dgFQpEgR4uPjT7W76aabeOGFF+jTpw+BgYHs27cPLy8vSpUqle1zioi4i/pgIu6h/lf2qP8lIjnBlgnlLcvysCxrLXAY+MMYs9KOHCKS86ZMmULXrl3PWte9e3emTJlCo0aNeOihh6hRowaVKlU61S4gIIDw8HBq167N/PnzGTFiRKbH/vDDD5kwYQJ169bl66+/ZvTo0Rw/fpyBAwfy5ZdfUq5cOd59913uueceXO/hsqdPnz5ERERQp04dJk2aRPXq1QEoXrw4zZs3p3bt2jz11FN06NCB//3vfzRt2pQ6depwxx13nNX5EhHJq9QHEymY1P8SkcLOupxfQDl2cssqCvwEPGyM+eecbYOAQQDly5dveLKCLyIXt2nTJmrUqGF3jPMsXLiQd955h1mzZp23LTAwkISEhEz2yv/y6s9DJK+xLCvSGBNmd47CQn0wkZyVV//eq/8lIpdSUPpgtozcOskYcxRYANycybZPjTFhxpiwkiVLuj+ciIiISAGlPpiIiIgUJG4vblmWVfLEp4VYluUH3AhsdncOEXGvNm3aZPqpIVBgPzUUEclL1AcTKXzU/xKRwsKOuyWWBSZaluWBq7j2nTEm89+4IiIiIpJT1AcTERGRAsmOuyWuA+q7+7wihYkx5oK3eRb3sXNOQxGRc6kPJpK71P/KG9T/EimcbJ1zS0Rynq+vL9HR0frDbjNjDNHR0fj6+todRURERHKZ+l95g/pfIoWXHZclikguCg0NZe/evURFRdkdpdDz9fUlNDTU7hgiIiKSy9T/yjvU/xIpnFTcEilgvLy8qFSpkt0xRERERAoN9b9EROylyxJFRERERERERCTfUnFLRERERERERETyLRW3REREREREREQk31JxS0RERERERERE8i0Vt0REREREREREJN9ScUtERERERERERPItT7sDiIiIiIiIiEje5HTCoUOQlgZFi0JQkN2JRM6n4paIiIiIiOQZGRmwcyds3gz//QfHjoG3N5QpA/XqQe3aYFl2pxQp2JKT4ZtvYMoU+OsvOH789LZSpeDaa6FlS2jXDpo3B19f+7KKgIpbIiIiIiJiI2Ngwwb480/XsmiRq6B1IVdfDfffD0OGQHCw+3KKFBa//QaDB8PevVCzJjzwAFStCj4+cOQIbNsG//wDb70Fr78O/v7Qvj107gwdO0LZsna/AimMVNwSERERERG32rnzdDFr/nzXJU8AlStDr17QuDHUqAFVqrgKWGlpsGcPrFjhGkkybBiMHQuffgqdOtn6UkQKDGNg1Ch48UWoVQsmToS2bS88UjI+HhYvhtmz4Zdf4OefXevDwlyFrs6dXaMtNdJS3MEyxtid4ZLCwsJMRESE3TFEREQkl1iWFWmMCbM7h5xNfTDJCenpsHEjLFsGS5e6lt27XdtKl3Zd1nRyqVAha8cMD4eBA2HdOtfIkWee0RtokSv17LPw5ptw992uwrGPT9b3NQbWr3cVuWbNgpUrXetCQ10F6HbtXEXrq6/W/9W8pqD0wTRyS0RERERErsjJCad37XItO3e6LjVctw42bYLUVFe7MmVc8/Q8+STccIPrkqfLeaPbuLHrzfM998Bzz7nm6Ro2LEdfkkih8sknrsLW4MHw8cfZ/39pWVC3rmsZNsz1++C331zFrq+/dh0fXAXtRo1cI8OqVHEt11zj+t3g7Z3zr0sKDxW3RERERETykXnzYP9+16iICy1w8e1Zae90uiaRTklxLcnJp7+Oi4OYGIiOdj3Gxrran6lcOdcb3Q4dXI/NmkGlSjk3asPX1zXhtacnDB8OV10F/fvnzLFFCpO//4ZHH4VbbnFd7psT/0dLl4YBA1zL8eOuQnd4OKxa5Vrmzj1d9D4pKAhKlnQtJUpAYCD4+Z1e/P1dj15ervaWdXo58/nJ318nH8/8OrN1l9p+oX0AHI7Ti4fH2c8vtT472ypXhlatrvznUpCpuCUiIiIiko+89Rb88Yf7zufp6SoknVx8fKBoUQgJcV1GGBICxYq5ilkVKpxegoJyP5vDAV9+Cfv2uSa9rl8frrsu988rUlCkpkKfPq7/xxMnuv6/5zQfH9dorUaNTq/LyHBNWL9tG2zfDocPQ1TU6WXvXkhMdBXVTy5JSTmf7WRBzOE4/Xjm15mtO/k1nC52ZWScLnqduZy5/kr06aPi1qWouCUiIiIiko989ZXrjd6ZoxYyW+DSbS7W3uFwvSnNjTe7OcnTE7791lXY6tsXIiJ0eZNIVo0Z47qE+OefXSOm3MXD43QhvF27rO1jjGsUWHr6xUeeZrVQdebvPnc4c9RXVgtiJxc/P/flzK/y+J8qERERERE5U7lydifIe0qXds3p06WLa2Tb8OF2JxLJ+w4ehJdego4dXXc2zOssyzV6NL+yLFdRz8PD7iQFk8PuACIiIiIiIlfqttvgzjvh1Vdhzx6704jkfW++6RoF+t57dicRuXIqbomIiIiISIHw9tuuS380ckvk4g4ccI127NsXrr3W7jQiV07FLRERERERKRAqVHDd9e3rr+Gff+xOI5J3vf8+pKXBsGF2JxHJGSpuiYiIiIhIgfHMMxAQAK+9ZncSkbwpMRE++wy6dYMqVexOI5Iz3F7csizrasuyFliWtdGyrA2WZT3q7gwiIiIihY36YFJYhITAgw/CtGmwdavdaUTynq+/hqNHXaMcRQoKO+6WmA48YYxZbVlWESDSsqw/jDEbbcgiIiI5bO2WaP4M38/m7YkkJDpJSnaSmgbBQQ5KFPOkdElvalUOpnGt0lxVyt+tt2AWKeTUB5NC4/HHYfRo+OAD+Ogju9OI5B3GwLhx0KABNGt28bbH04+z7tA6tsZsJf54PElpSXh7eBPiF0LJgJJUKlqJCkUr4Omwo6wgcja3/ys0xhwADpz4Ot6yrE3AVYA6VnlMXGIKOw/EsfdwAgnJaaSnO0lNcxIU6EX50kWoUDaIEkEBOBx6ZypSmBkDX/2yhQ8+O8LGZZVIjy0HFM/SvpZ3Aj7FDxFc+igly6VwdaiTypW8qFG5CPWqhVD/2lL4+ep+ySI5QX0wyY+cxklcShxHko6QmJZIujMdp3FSzLcYJQNKEuwTjJXJpySlS0Pv3jBxouvyxOBgG8KL5EGRkbB+PXz8MZl+wGiMYf6O+YyLGMfv234nKS3posfzcnhRqVglqoRUoWpIVaqEVKFyscpUDqlMxaIV8fbwzqVXInI2W0uslmVVBOoDK+3MYSen07gejTnreWbrTj6/0H5Jx9OIT0wlITmN+CTXY2JSOokp6SQkpRMVe5zomDRijmZwNM5w7Jgh/piDhHhPkuO9SEnw5XiiP+lJgTiTgiHdD/AFSl/4BfjFElhuD5VrR3Nze1+euKsuJYsG5NS3R0TyuA+n/sPw4RbHttcCr6spXW8NTZpvpFWTIOpVC6FUMX+CA3zw9fbkYEwi+6IS2H0gkU3bE9i64zh7djs4vN+XuEPBHPq3Iv8knVMUs5w4ihzCJ/go/kGJBBQ9TnCxNEKKG0qWsCgW7EGRQA+KBHgQFOhFcKAXRYt4ExzoWvx8PPH29MDbywMvTweeHg68vTxOrfP0cGjkmBRK6oNJVpkTfU2DyfLzM79Oc6aRkp5CSnoKyWnJrsf0ZBJTE4lNiSUmOYbYZNdjTHIMMSkxRCdFE5UUxZGkI0QnRZNhMi6Yr4h3EeqXrU/7Su3pVbsXVYtXPbXt4Yfhq6/gyy/hscdy9vsikl9NmAC+vtCr1/nbtsVs44FfH2Def/Mo4V+CAfUG0LZiW2qUrEGwTzAB3gGkZqQSnRTN4cTDbI/dztborWyL3cbW6K0s2rmIxLTEU8dzWA7KB5enXJFylA4oTemA0pQJLEPpwNKnjhfoHUiA14lH7wD8PP3wcHjg6fDE0+GJh+X62sPhgcPSlOFyYZY5o2Di1hNbViCwCHjVGPNjJtsHAYMAypcv33DXrl05nqF0/XAOb6wBnHhnY858h3PuujO2nbvuYvudtS2P/Wf0OI7lewxP/0S8/JLxDUzGL+g4gUHpBAVnUKwohBRzULyYJwH+Hnh6Wnh5OjiWkE5UdDrR0Rns2eNgz7Yg4nZUhTR/8EqicssIRj1Tgv91qGn3KxSRXLIvKoE2PdazbWFTPIrtocs9/zL62YaElih62cc0xnAgNo7IzYdY9+9R/v0vmR27Mziw14O4GF+S4vxJjQ8kPaEoJrkoOfY71coARwZwzt9DK7O/j5msO69dVtpk0i7TNnmLZ+BR0o6Uz5VjW5YVaYwJy5WDy1nyQh9MrsztU2/nzx1/XrTQdDlFqTOfu5uPhw8hfiGE+IVQwr/EeUtxv+IEegfi5eEFQGxyLFFJUWyP2c7KfStZfWA1BkOHyh0Y1WYUTUKbAK7Lro4ehQ0bMh+lIlKYHD8OZcrArbfC5Mlnb/tx04/0m9EPT4cnL7V5iUENB+Hr6Zut4xtjOJR4iO0x29keu51tMdv4L/Y/DiQc4FDCIQ4mHCQ6Ofqy81tYeDo8My1yZTaC08LKdpvM2mXWxt161OrB57d9nivHLih9MFuKW5ZleQGzgDnGmPcu1T4sLMxERETkeI5ezyxi27YTr986me3MnJk/ZndbTh7rYtu8vMDX18LPx8LX14GfrwN/Xw/8fB0E+HlSurgvpUP8KFcygKtLBREU4ENOSUpJ5+Mf/uGLr+PZtKA+pAZy1fV/8e0nobS6LnfeCImIPWYt3UH3bhap0aFc32shP4+7npLBgW7NkJKaxrZ9MRyKSSIuIZW4+DTiEtI4lphGfEI68YlOEhKcpKUbMjIM6RmQkQEZ6YYMJ64l/fSj03n28c2pDyZMFtedfH5+1kz/zJpz25x/7LwoIBAWT2qTK8cuKB2rvC6v9MHkynwa+SlbjmwBTr8JO/nm68znF9uW289Pfu3l8MLX0xc/Lz98PX1dX3v64e/lf6qYFeIXgp+X3xV9Tw7EH+CrtV/x/or3iUqK4sGwB3m7w9t8M8GfwYMhPBwaNbqiU4jkez//DF26wG+/wS23nF7/xeovGPjLQJqENmHaHdMoH5x779/SMtI4nHiY+NR4ElITSExNdD2muR5T0lPIcGaQ7kwnw5x4PON5WkbaeUX4zGoal9Mms3Z2FfzP1bBsQ/rU7ZMrxy4ofTC3F7cs11+6iUCMMWZoVvZRxyp/2X3oGHc/s4ZFUxoC0GNoBFNeb625uUQKgEm/bab/HaXBI413P9vDY70a2h1JCoiC0rHKy9QHk8IgITWB4fOHM2blGK4rcx1f3/wLYdVCue8+GDvW7nQi9urTB37/HQ4edA2MAJi+cTp3fn8nN1e5mR96/IC/l7+9IcXtCkofzI7r5JoDfYEbLMtae2K51YYckkvKlw5i4Vet+SviGCWqbeG7t9pwTetlRB1NvPTOIpJnTZnzL/26lcPhF8+fi5NU2BLJf9QHkwIv0DuQD27+gF96/8J/sf/R8afmtL81nilTXJdkiRRWycmukVvdup0ubK05sIa+P/WlaWhTfuzxowpbkq+5vbhljFlqjLGMMXWNMfVOLL+5O4fkvqZ1ynFwTQM6DFzErqXNqNxoG7sOxtkdS0Quw9K/93HXnUXx8D/GsiUetK1f0e5IIpJN6oNJYdLx2o4s6LeAxNREVpV8mJgY+PVXu1OJ2Of33yEhAXr0cD1PSE2g1w+9KO5XnJm9Zl7xpcEidstjM5xLQePhYTHn09Y8+X448TtqUKPxfhW4RPKZ2PgUbuyYiDPNmx9mJtGk5lV2RxIREbmkBmUb8PtdvxMf+iNeQUeY8NWF77ooUtDNnAlFi0KbNq7nz/zxDFujt/JNt28oGVDS1mwiOUHFLXGLt4dez0ufrCN5f2Xqtt5BzLFkuyOJSBY1vzOClH3X8uKHW+jS8lq744iIiGRZWLkwvr1zEmm1J/DbbxAVZXciEffLyIBZs6BjR9clieH7wvk44mMebvwwbSq2sTueSI5QcUvcZsR9YTzyeiTH/q1LvVtX43TmjTtPiMiFPfdhOJvmtKBJr/mMvK+J3XFERESy7fbqt9P3LgfODA9Gjvvb7jgibvfXXxAd7bpTotM4efDXBylbpCwv3/Cy3dFEcoyKW+JWo59qys2Dl7BnWXNue2Sh3XFE5CJ2HojjrWEV8bt6E/MntLQ7joiIyGX7bODDeJfcxRffHiU2OdbuOCJu9csvrhFbN98M32/4nsgDkbze7nWCfILsjiaSY1TcErf7dVwrQq9fzq/jWvHpjHV2xxGRC7jp7vU4E4vxxRfg7+tldxwREZFZXWiwAAAgAElEQVTL5uPpzf96+pC6rTmP/fSK3XFE3GrOHGjZEnz90xg2fxh1S9elT50+dscSyVEqbonbORwWy3+uhWex/Qy5L5j9R+LtjiQi5/hq1kb+ndeCxncsofeNNeyOIyIicsWG9CsDTk8mfhfL2oNr7Y4j4hYHD8K6ddChA0z9ZyrbY7fzSttX8HB42B1NJEepuCW2CC0ZxOhPY0mPCeWGPmvsjiMiZ3A6DQ8/6sRR5BA/fhRmdxwREZEc0bAhXF0+A68tvXh8zuN2xxFxi3nzXI/tb3Ty+tLXqVu6Lp2u7WRvKJFcoOKW2ObB7nVp1H0pW+a2YvRUfXomklc8/t4KEv6rTb8ntnBVCc3FICIiBYNlwZ13eODcfgMLNkewaOciuyOJ5Lq5c6FkSdjjN4tNRzbxbPNnsSzL7lgiOU7FLbHVb583wrP4bp56NJhjicftjiNS6KWkpjPu7TL4lPuX8cOa2x1HREQkR3XvDhlpngTvvosXF71odxyRXGUM/PEHtG8P41d/TLki5biz1p12xxLJFSpuia1KBPvz4tuHSTtcif89s9zuOCKF3kOvryTtcCWGPhuDl6fmYhARkYLl+uuhXDmosO9xFu5cyMKdC+2OJJJr/vnHNedWvWaHmbNtDgMbDMTT4Wl3LJFcoeKW2G7YgDBKXreKX7+oz797ou2OI4XUpp1HmPjrRj7/+R8SklPtjmOLlNR0Jn54Nf7lN/LakCZ2xxEREclxDgd07QpbwytT2rsSLy16ye5IkofsjtvN0t1L2R+/3+4oOWLuXNfjzuKfY1kW9zW4z95AIrlIxS3JEz4bUwyOB9LjoX/sjiKFzOQ5mygbtpKa1xSjf6eaDOxSmyLBadTuuJhdB+PsjudWT7wXTnp0eR595hgOh+ZiEBGRgqlbN0hOtujoGM3CnQtZvGux3ZHEZluObOHWybdS4YMKtJzQkqveu4qO33bkQPwBu6NdkT/+gOo1nEzf+wGdr+1MaFCo3ZFEco2KW5IndGlVhRodlvH3rGbMWbnD7jhSCDidhg6DFnLXrVU4tPkaru+5hBc+Ceep0Su4tvVqNsxuzjXXpjBl7ma7o7qF02n44sOS+JTZxqjBje2OIyIikmtatYKQEEhefwshfiGMXjna7khio4U7F3L9F9ezct9KXm77MrP7zObF1i+yYMcCGnzagK3RW+2OeFlSUmDRIqjYcCtRSVE8EPaA3ZFEcpWKW5JnfDeuBnimMODhQ3ZHkQIuPcNJnU5L+OOzNlzdZBVbt3iyfEobRg1uzFuPXM+WP1ryzex/sTzS6XN7ab75fZPdkXPdqM8jOL6/Kv0eOoinh/40iIhIweXpCZ07w+xfPbmn7mBmbJ7BrqO77I4lNlhzYA2dvu1EuSLliBwUyfBWw7m5ys2MbDOS8IHhpGWk0XlKZ2KTY+2Omm3h4a4C156QiVQqWokbK99odySRXKV3MJJn1L6mJO3vjuTAqusZ/9N6u+NIAeV0Gup3WcLG2a1o0nMhO5c2pfJVxc5r1+emGsxf4MThm0i/nkXZsCPKhrTuM3asA0fwAd5/QnNtiYhIwdetGxw9CvWPP4qFxbhV4+yOJG4WnRRN5ymdCfEL4Y++f1CxaMWzttcuVZufev7E9tjtPD73cXtCXoFly1yPG3zHM6DeAByW3vpLwaZ/4ZKnTH6rEVZAFMNGHrc7ihRQ3R9fzD+/tqbRnQv569vWF51bqlW9q5n8XSLOpGK07rKL9AynG5O6z+8rdhC9viFtum/G39fL7jgiIiK57sYbISAAls4pTdcaXfls9WckpSXZHUvcxBjD/b/ez+HEw8zoNYNyRcpl2q5lhZY82fRJvlr7FYt2LnJzyiuzdCmUrngE/GPoXae33XFEcp2KW5KnlCoWwM13byB6fRhf/KLJ5SVnfTB1LTPGtKBc4xX8NaVVliZN79m+Gr2fDCd6fRh3D1/qhpTu99wbu8EjldHDatsdRURExC38/ODmm2HGDHgo7BFiU2KZvG6y3bHETaZvnM70jdMZ1XYUDco2yLSNMbBzJ3QKGkF531o8NucxjDHuDXqZnE7XyK30qxfR+KrGVAmpYnckkVyn4pbkOV++EoblH81zI5LtjiIFyJbd0TwxuDReJXcTObt2tuaV+ubVlgRXW8vU0XXYsjs6F1O634HoBNb+Xo+KzVdR+5qSdscRERFxm27d4MAB8DrQgnpl6jF21dh8U7yQyxd/PJ6hc4ZSv0x9nmr21HnbnU74/HOoUQMqVYIWTfzYO2wda0Y/z+fz59mQOPs2bIC4OIguMYPetTVqSwoHFbckzykTEsiNd60nam0jJv660e44UkC06/kvzsQQvp6cSpmQwGzt63BYTPw0EHM8kNsHbsilhPZ4/K3VcDyYYU8E2x1FRETErTp2BC8vmDHD4oGwB1h3aB0R+yPsjiW57I2lb7A/fj/jOo7Dw+Fx1raYGOjQAQYOhOBgGDsWpk+Hxx4Da/ut3N+pKcuW5f0C6NKTFxtc/Rc9avWwNYuIu6i4JXnSl680xPKL5ZkR8XZHkQLg1QkR7FvRlPYDltOzfbXLOkaXVlWo1/kvNs9rxh/hO3M2oE2cTsNPk8rhX34j93SqZXccERERtwoOhhtugJ9+gp61euHv5c/nqz+3O5bkoiNJRxgTPoaetXpyfej1Z23btw+aNYMlS2D8eFixAoYMge7d4Z23HbwyfQZO//3c2MHJmjU2vYAsWrrU4BF0iLYNKl5wPjGRgkbFLcmTripZhBv+9zeHVjdhytzNdscp1JxOw58Ru5g2bwsRmw/YHSfbjiak8NIzJfAqtYMfPmh6Rcf6+r2a4HGcQU/ty6F09np/ylqOH6xC73tjsjT/mIiISEHTrRts2wa7twbRo1YPpvwzhcTURLtj5VvpznTWHVrH5iObSc1ItTvOed5b/h6JqYmMaD3irPXR0a4RW/v2wbx5MGgQWOd0jR69qQtB998GvnH06AHHjrkxeDbNX5RKRugi/qeJ5KUQUXFL8qwvX60PPnE8PTLW7iiF0tY9MTTtvRDPIjG0b1SBXjdWo1GNsviW20rnhxdyLDF/3NGy2yMrSIuqyCvvxBIU4HNFx6p9TUkad13FzsVNmbVsew4ltM+Yj5Ox/GJ5a2hDu6OIiIjYoksXVxHjxx/hvvr3EZ8az/cbv7c7Vr6Tkp7CiwtfpMRbJbjuk+uo8VENrnrvKobPH05yWt6YR/dI0hE+DP+QnrV7UrNkzVPrMzKgZ0/Yvh1++QVatsx8/wDvAO5r1ZHU27uxY4fhmWfcFDyb9uyBg/t8cFRcTrca3eyOI+I2Km5JnlW+dDDXd13D3hVNCsxlYPnFu5PXUK2GkxVTW1Gu7r/0HbaYp0avoMsjC/EpksissW0oXuEQ439ab3fUi1q4ZjcLvm7C1U3/4um+md8JJ7smvV0HvFJ44sX9OXI8u+w6GMfulQ2o3W4dIUF+dscRERGxRenS0Lo1TJ4MTUObUa14NV2amE0xyTG0mtCKlxa9RPtr2vNN12+YdPskWpZvyatLXqXhpw3ZEbvD7pi8+9e7JKYm8kKrF85a/8IL8OefMG4ctGlz8WPcH3Y/GeUXcX23SMaPJ09enrhsmeuxYZNkQvxC7A0j4ka2FLcsy/rSsqzDlmX9Y8f5Jf/47NVa4JnKw8N32x2l0Bj0ylKe7FsX7yJHmb5gG3uXN2XSK61465HrmTG6DXFb6vHGxEiwDPffUZ0+zy+2O3KmnE5Dj3sOgSOdH7+slGPHrVa+OLVujODfBY1Zt/1wjh3X3Z4f8zek+/Lkg7pDokhhof6XSObuvhu2boXwcIv7GtzHsj3L2BS1ye5Y+UJSWhLtJ7Xn70N/82OPH5neYzp96vah73V9+bHnj8y5aw4HEw7SckJLtkZvtS3nyVFbvWr3OmvU1s8/w+uvw333wT33XPo4VYtXpdnVzTjS+CGKFzc88UQuhr5Ms+YdBe94+rSvY3cUEbeya+TWV8DNNp1b8pHa15SkVodwtsy/Pl/O95TfvPBxOJ+NvJ5iNf7mv/Wl6d7m2kzbPXN3Q7atL0rJOmv59vVWdH54oXuDZsGwceFErW3EbYMjCateNkeP/f7I8pDhxZAX8+/dPH+eFoJPuX+566YadkcREff5CvW/RM7TvTv4+sLXX8Pd192Np8OTL9d8aXesfOHh3x5m7cG1/NDjB7rW6Hre9g6VO7Co/yKOZxyn47cdiUmOsSGla9RWUlrSWaO29uyBfv2gYUP48MOsH6v/df3ZkriSvg/tYcGCM+5MmEfMX5QKoSvoWquz3VFE3MqW4pYxZjFgz282yXfGvVoJjIP7h2+xO0qB9vPSbbzyaG0Cym9hw+KqlCtR5KLtK5QJZueKeoRev5xZY9vQ46lFbkp6aYdjE3l7xFX4lNvKlLea5/jxb2xckTJhq1j2Y518M/fYmWYt207Cf7W5sdt+TSQvUoio/yWSuaAg18TykyeDvylFl2pdmPj3xDw5IXpeMmPzDL5c+yXDWg6j07WdLtiuTuk6zOg5g11xu+j9Q2+cxunGlBCVGHVq1FaNkq4P9YyBe++FtDSYNs1V3MyqHrV64OPhQ0rdMZQsCS+/nEvBL0NcHBzYXoKyNbdTPri83XFE3Epzbkme16re1VRssZLIX8LYvk+Ty+eGowkp9OyVgeWdyNK5JShb/OKFrZP8fb3YuqgRZRqu5Pt3WzDs45W5nDRrbh+yiozYUN4bk4y/r1eunOOhBz0wScUZPi4yV46fm175cA840nl1aM1LNxYRESkEhgxxFQYmTYJ7699LVFIUv2z5xe5YeVZSWhKP/v4odUrVYWSbkZds37x8c8bcPIa52+fy3vL33JDwtHeXnz9q65NP4I8/4J13oHLl7B0v2DeYW6rews87pvLYY07mzoX1eWQa2t/mx4Jx0KFtgN1RRNwuzxa3LMsaZFlWhGVZEVFRUXbHEZu981JJSA1k0Ii/7Y5SIN107wpS9lVj5Ps7qVe1dLb29fX25O8/ahNQYTOvDa3Fb8v/y6WUWfPb8v9Y/l0zKrddyoPd6+baeZ65uwGeIXv4+sv8NRn78dQMVs2uTul6kdStXMruOCKSB6kPJoVR06YQFgZjxkD7Sh0IDQrl8zWaWP5C3lv+HrvjdjP21rF4OjyztM+ghoPoWr0rz//5vNvmNItKjGJs+Fh61+l9atTWtm3w5JPQoQMMHnx5x72jxh3si99HvY4R+Pq6JqPPC775dSdY6dx/e327o4i4XZ4tbhljPjXGhBljwkqW1ITHhV33NtdSqn44C6bW4XBsot1xCpSfl24jfHpzqrZbwsiBjS7rGKWKBbBwdgiWVwrdumfY9jNyOg133XcUyyuJmV9Uy9VzeXo4aNt9O0c312fOSvvvAJRVb05ajfNYGe7uZ+yOIiJ5lPpgUhhZFjz+OGzZAtO/9+CeevcwZ9scdsfppkbnikuJ493l79KlWhdaVWh13nan03XZ37ksy+KTTp8Q6B3I4FmD3XJ54rmjtjIyoH9/8PKCL75w/dwvR+dqnfH28Gbu/in06uWary0uLudyX64Vf3niHbqRJpVq2R1FxO3ybHFL5FyjXvDDJBXn/lERdkcpMJxOQ//Bx7B8Epj5+ZVNLB5WvSyvfbSL4wcq07TbGpxO9xdPhr67nNiNDejxyN/UqpS9N2S7Dsbx3Z9bmDR7IwnJWZtj451naoIjjeHv7LqcuLb47Mt0LP9oRgxsYHcUERGRPKVHD7juOnj+eehT03XrvAlrJticKu/5MPxDjqYcZUTrEWetX7PGNXdZQAA4HFC/PkyYcHahq1RAKd6+8W2W7F6S69/bM0dtVS9RHYD33oNly2DsWAgNPX+fA/EHmbFiDf/8d/FRq0E+QdxU+Samb5rO/Q84SUx0zd1lp5iEBGK2VqFWw1isy63aieRjthS3LMuaAiwHqlmWtdeyrHvtyCH5y+CudQi69m9+/qpKlosPcnEvfxFB7MYG3DFkHTUqlrji4z3bryGt+y3mv4UtuOdF9946Zm/UMT565Rr8y29k0istsrzf7BX/UbHlMiqG+tGzfTX63VqTIkVTqXXr4kvO8Va3cinKhUUSObt2vphYfvu+WPaGN6Bu+38I9PO2O46IuJn6XyIX5+HhmoNp506Y9GEFOlTuwBdrviDDmWF3tDwjJT2FMSvH0LFqRxqUPf1B2bvvQuPGsGQJ3HMPDBvmWn/PPa6iYUrK6WMMqD+AluVb8tQfT3E48XCuZX3nr3dITk8+NWpr3ToYPtxVgOvT5+y2u47uptGQsZQLTaVr0/rUqVySIqG7+Pan6Ase/86ad7L32F6cZcOpXt11QwI7jZ8VDul+3N7hyvv0IvmRXXdL7G2MKWuM8TLGhBpjvrAjh+Q/TzyVSsbRqxj6drjdUfK99Awnb74ciGfxXXz1crMcO+7cz1oSUiuSia+HMXPxthw77qXcNmgNzmOlGDcOvL08srTPgJFLuLVVaXatqs11HZfz1OgVPPbucqq2XMPGOc2oWi2dCbM2XPQYDz3ghUkskS8mlh82Zh1k+PDMkOzNqyYiBYP6XyKX1r49DBgAr70GTdOfY8+xPfzx3x92x8ozvtvwHVFJUQy9fuipdaNGueaw6tIF/v0XPvoIXnkFIiPhzTdh+nRXMSnjRI3QYTkY32k8CakJPDn3yVzJGZUYxdhVY+ld2zVqKyUF7roLihWD8ePPvhxx1Z41VG+/gohxD1HuKhj8wno6PPg7iSmp9OlWnOGvH8r0HLdVuw0vhxfTN35Pnz6weDHstvEq1um/HwTgni65OzWHSJ5ljMnzS8OGDY2IMcZkZDiN39WbjHfpbSYtPcPuOPna4+/9ZcCYwa8syfFj/73tkLECDhvfqzab2PjkHD/+uabN22xwpJkaNy/K8j43DV5gwJhiNSNN5JYDmR7Ts/hOg0+cGTf97wseJy09w3gW32WKVl99Wdndyb/CBuMbutnuGCKZAiJMHuhzaFEfTCQ+3phq1YwpVsxpij3ewnSb1s3uSHmC0+k0Dcc3NDXG1jBOp9MYY8y33xoDxtx9tzHp6Znv98EHrjbPP3/2+ufmPWd4EbNs97Icz/r03KeN4yWH2RS1yRhjzJNPujL8+uvZ7XbE7DQ+Yd8aMObBpw6ZjDPeXqzZs9H41J5lwJiPPo/L9DwdJ3c05d8vb7Ztcxow5o03cvylZElqeqrxqvmLKVLmoD0BJF8rKH0wzbkl+YrDYTHwkRhSD1Vm2DiN3rpcTqfh4/eL4V3qP8Y83TTHj1+3cilGvr+TlH3VaHvXyhw//plS0zK4d3Aqlt9Rfvm8Tpb26fbYIuaMb0OFlsvYv6YuDa4tc16bHu2qsXypN17B0Qy5+ypWbtif6bE8PRy07fYfRzfXZ+GavDvp7IxF20jaVZObux+0O4qIiEieFhgIs2eDr69F2sRZzFzxN4cSMh+9U5isObiGyAORDGk0BMuy+PdfuO8+aNECPv/cdVlnZh59FO69F15/HRYtOr1+WMthhAaF8tBvD+XopZ+HEg6dNWpr4ULXZZP33w+33nq63fH047R48BuOR/TmgSeO8NFbpXCc8e64XmgN5v9SCqviEh59yIvt288/1x0172B33G6O+q2maVP7Lk1cvGsJaTubEHZ9yqUbixRQKm5JvvPmI43xLLGLj94rYsuk5QXBO5PXkLynOr0H78vyJXzZNXJgI667bRFrZ7Zm1OercuUcAL2fWUrC9jrc9+xmKl9V7JLt35gYyU+jW1C20Qo2z2uCr/eFb18dVr0sv/wMJsOLdp1jLjjX28uPXgs4GfnBf5f7MnLdq2P3giON14bq7jkiIiKXUqkSzJ0LjvRAMibO5qMF0+2OZLsJaybg4+HD/+r8D6cTBg0Cb2/XROpeXhff94MPoHJlV5Hr5PxbAd4BvNvhXdYcXMNnqz/LsZyjFo3iePpxRrQeQVwc3H03VKnimk/tTI9+M4593z9Bw1aHGftW5vNUNavYiCffXks6KXTtE4U5561Hp2s74bAczNwykz59YP1619xe7jbxz+WQVJLuN53/ga1IYaHiluQ7vt6e9By0i8SdtXh/ylq74+RLb75lcBQ5xJhnGufqeRZOboJvuX958bGKl7zrzGUdf81ufhwbRsnrVvHJ880v2X7lhv08/8A1+JT9j9W/175oYeukm5pU4vHXN5C4ozZdH/kr0zZNapWjeJ3VLPulCukZuX9b6+xKSklj9e81KdswMkduHCAiIlIY1K4Nv8/2wJEQylsPtuXo0cL7oerx9ON8+8+3dK3RlWJ+xZg0yTUK6+23oVy5S+8fGOiai2v7dtcdC0+6s+adtK3YlmHzhxGddOHJ27Nqa/RWPl39KYMaDqJqyLUMHgz798PXX7vu4njSmv1/M/7Fhnj7ZvDrd2eP2DrXq13vp8xtH7F+ZUlmzDx7hFkJ/xK0KN+CmVtm0qOHa/Sau0dvGWP49c84ANq18XHvyUXyEBW3JF8a93wTHEEHee31vFdIyOt+WrSVmH8a0r73JoICcvcPYNFAX6ZOcWBSAmnbdWeOFn6cTkPXPtHgyOCXyVfhcFz8lsfpGU5u6XEQk+HFrzO9KRMSmOVzvftYU0KvX868r5owP3JXpm1690klIzaU0VP/ztbrcIc3Jq7BmVCK/v10W2gREZHsaNoUHv9gGcf3V6HTndHnjdwpLGb9O4uY5BgG1BtASgq88AI0aeIaiZVVHTq47lT46quwZ49rnWVZjLllDHEpcQyfP/yKcw6bPwwfDx9GtB7B2LGuUWUvv+zKeqZ+r/4Gu1rx1ltQ+hL32fHy8GLs8LpQYhMPDE04NTH+SV2qdWHdoXUkeO7gpptg6lTc+u9k7cG1xGypQWDRFKppLnkpxFTcknwpKMCHW+/eTMyGhoz/ab3dcfKV4W8eAM9k1x9pN+jSqgo9Hw/nyLpGdH9scY4d9+4XlnB0U336PLGWJrUu/ZFhz6eWELuxAX2fWk27sArZPt9PEyqCRxq978t8zo2XHqgPvnGM+ywx28fObV986cQKiGL4vQ0u3VhERETO8tJ9zfC7dQTL5pVg9Gi709hj6oaplA4oTbtK7fj4Y9i71zWHlpXNz83efRecTtfdFU+qXao2Dzd+mPGR44nYH3HZGcP3hfP9xu95oukT7FhfhieegM6d4Zlnzm73+5Y/WT/1DspWieLh+wMyP9g5utXuTOXuEzi0K5jvp59d3epSrQsAM7fMpHt31x0T17rx4pKZW2bC7ha0aG5l++chUpCouCX51oRXGuMIPMxzw9PsjpJv7D4Ux8Y/G1ClVQRVrw5x23m/fb0VZRut4OePmjPuhyufiGDOyh1Mfqc+xWquZtLLLS/Z/q/1+05dvvjVqEu3z0xY9bLccs9qDq9tzNjvzx+dFRLkR402f/PfXw3YG3Xsss6RGzbtPML+yAY0uGkD/r6XmBBDREREzuPv5c8DD6VDtV947nknO3bYnci94o/HM+vfWdxZ807S0zx46y1o1w7atj2/bVwcLFwI//wD6ennb69YEZ57Dr77DubPP73+xTYvUq5IOfrP6E9KevYnRXcaJ0N/H0pJ/5L0veYpevSA0FCYOJGzLjl0GieDXv4LYqry0TtFL3o54pksy+LNh5tByL88P+rYWSOzKodUpnap2szYPIPOnV3nmzEj2y/hsn0fvhhiqnJDa12SKIWbiluSb5UI9qfLfZuI3diAD6Zq7q2seOKdtZAayPDHi2d5n5TUdP6M2MXSdXtJTbu8O9k4HBYrfqmBV/G9PDygNKs2Hbis4wDEHEvm9u6pWJ6pzP6uzCUvR3Q6Dd367QPgx0llL9n+Yia93hhH0EGGDSPTmxk8/kAIpPkz/MO8c2ni8x9sgAxvhj1yld1RRERE3CYhwVXY6NULqlWD4GAoXhwaN4Znn4VNm7J3vCGNH4Rbh5Bh0njkkdzJnFf9vOVnUtJT6FW7F1OnwsGD54+Gio+HIUOgeHFD27ZQpw5ce63rEr1zPfWUq8j1yCOQduIz6mDfYD6/7XM2RG1g5IKR2c74WeRnLN+7nFdavE/vOwKJiYEffoBi59xraFLkd+z5eQBVrovi9tuy96Hf7TU6U+LGL9mxsdhZd30EuL3a7SzZvQRHQDQtWsBPP2X7JVyWnUd3sjGyKOC6a6VIYabiluRrX77cBEfwAUaOsHTnxEtwOg2zvi2Lf/mN9OtY85LtZy7eRuU2S/ELSKd9owq0vC4Un4DjVG23hB8W/pvt85cvHcy079NxpvrR6sZjlzW6KT3DSf1b15Cyrxovjv4vS5cjvvjZKg6taUzHQatoUTc02+c8U4lgf3o++C/Htl7H6xMjz9t+T6daeJf6j5+mBl3ReXKK02n4/fuyBFTcQNfWVe2OIyIikuuiolzFk7JloX9/WLzYVWjp3x969nRNKv7uu1CrFvTtC9FZnMP8mmLXcFvj+njf8CazZsGSJbn5KvKW6ZumExoUyvWhTXnvPddE++3bn94eEwNNm6cx7mMnpsF46HML3N6Pw84t9O7tugTReca0q35+8P77sGEDjBt3ev3NVW5mYIOBvLP8Hf7ak/lNfDKz8+hOnp73NG3Kt+O3N/9HZCRMmQL165/dLt2ZzlOvbYf4UD55r3iml/ClZn5jbAA8HB48eX858I3h9fdjz9rWpXoXnMbJrH9n0bWr666J27dn+SVctpmbXZck+vg6aZCN2Sf27HH931i8GPbty718Im5ljMnzS8OGDY3IhfR6epEBY16bEGF3lDzt2zmbDBjT8+mFF22XkeE0PZ9eaPA4bvCON7VuXWQGjFxs7h6+2FS7cZHBO97gSDPN+ywwicmp2c7x2oQIgyPNFK2x2hyKScjyfhkZTtOk5wIDxtw0eEGW9vk/e2ceHtP5xfHvncm+CVlEYt+Jfd+3qr1arS6ULrTVaq31U5SKvZS2VO20to0hPuAAACAASURBVKJV1VKKkkQiQgSxbxEkZN/3ZOZ+f39cSYyZSSbJJGF6P8/zPiPveZdz74zkzLnnnDc1I5vmrndp4RpaIl31ral0fEjHxud1yvuPk3T8N+ieUfYrDdsPXyNAjpjhW9GqyMgUCYBzfAZsDrnJNpjM84lKRa5dSzo6kgoFOXIkeeoUKYraY2NiyC++IM3NyWrVyDNnDNvjWOgxYpY1HZwy2Lu3cfV/VsnIyaDNIht++venPHWKBMiNGwvk2dlkq/YZhDKLytGDOe7AOG69uJULfBfQ45taRPvVBMgvvtB8I0SR7NePrFSJjI4u6E/JSmHt72uzzvd1GJceV6R+uepcdtnchfaLHThqbDIBcuVK3WO3nttD2EayRadojX6Vily6lHRzk66vVy/y9Gnda8RnxFPZeSUVZrmMinryekR6rPDgsN3DePeutM6KFUWqX2p6/tSTVrUusUePosfm5krvXZMmkn5PtoYNyfnzpf8bMv89TMUGq3AFDGmyYSVTGKkZ2VRWDqdtnctUq3VYMDIkyVYv+xDKLN6JSCh0XIc3vAmQLq3O8sZ9baPiTkQC6/X2I0BW8TzH+1FJxdblk8X+hKCiY+PzBs1Xq8V8vZoO9DX4fR422YcAOXf92WLrWBhDJ0i6bDlwRUsWdP0RIajYbZS3UfcsCc0G+xBmGbwXWfz3SEamvDEVw8rUmmyDyTwP3LxJduhAAmTv3uS1a4bNu3CBrFuXtLEhjx0rerwoimyyugmrv76cAHnyZOn0fh7468ZfhBd45M4RjhlD2tqSqakF8snTUwmQ9iM/4PlHmg/+0nPSOer30UTbdQTIrVs17bfr10kzM/K99zT3PB1+mhYLLNjr517MzM3Uq5soivzgzw+IuWD/kTcJkNOm6R/r8fZcAuTRY+r8frWafO016bMzYAA5fTpZvbr0mThxQvdag1ZOJUAuWKz54HT8wfG0WWTDjJwMtmxJduumV3WjEJUaReFLOwoKFWfNKnzsgwdk167SdbZtS37/vfSZP3pU+nefPpLM3l5yyuUY55mwzHOCqdhgFa6AIU02rGSK4r2vThIgZ64OrGhVnklSM7Ip2MbSo1NAoeMGjfcmQHoO8mWuSl3o2LHz/AhFDq1rXOfdh4nF1mn8En9CkUNzl7vc631T77h7kUms0eUUAclZU5Reedx6EE/BKpFOzYOM7vR8GJtCwSqR7h10P9ZzbnGWSscIZueojLpvcUhMzaRglcjaPfwrTAcZmeJgKoaVqTXZBpN51tmxQ3K4VKki/VtXpFZhREaSLVpIaxgSwbU2aC0xy5r2lXI4fHjJdH6eGPvnWDoscWBcYjZtbckxYwpkQedUhKCisvU2Xoq6pHO+KIoc/9dEopY3La2zeeeOpnzmTBIgDxzQ7N8RsoPwAl/c9iJTs1P5NCq1ipMOTyLmgh1elezEKVP0v/9/XT9IOF9jrcZxGmPmzpX2X7q0YG5UFOnpKUWVPXyovdbRO0eJ6gGs2TBRu98L/OvGX/TyIgVBMyrN2KwLWke805sAeeiQ/nG3b5M1akiOq+3b9d+jq1fJQYOk+9Gkif7oNRnTw1RssApXwJAmG1YyRZGZnUsL11BaVrtVoQ6FZ5WZqwMJkHPW6bfalm0LJkDW6HzKYAfSgs1BhDKLtnUuMzJe2/Aoih9+vUjBLoZQ5LL5EB/u9b6Z74i69SCer07xoaLSI0KRw34feRfLSdViqA8hqLjP51ax9TKEjm96E4KKgVe0rZ6J30hG1tJtwWWytyFMWCbpsKwCdZCRKQ6mYliZWpNtMJlnlbQ0ydECSBEy4eElXysykqxTh3R11e3MeJLU7FRWWlKJjV76i0pl6fZ91lGpVXT9xpVv/vYmf/5Zutf+j5+ZiSLZsN0DwjqWP57cWeg6alHNQWs+JqwS2aJDgoZzJStLci66umrfy58v/EzFPAXrrazHAzcPUKVWURRFnn90ni9sfYGYZc0GPc4TICdP1u+0EUWRjSf8jwC5bUdufn9wsOSAevdd7bm3bpFWVuQrr2jL1KKajsNmEyCvPBHEn63KZqUllThm/xhevCjdr02bCr01peKFrS/QadBKCoLIRD3PmaOjyZo1SWdnKVLREA4cIGvVIpVKctEiKW1TxrQxFRuswhUwpMmGlYwhTFkRQID8cIFfRavyzFGt/Wkq7KL11p269SCeCodHtKh6h7FJ6cVae8YPgYQil9XanzbYKfYk18Ji6TnIl1DkSnn/lklU2EXn1wCwrx+iM/2vMA743yEUuWw6sOxqTfmFhBNQs/toby3ZsxA1VblpMJWVw0v0nsjIVASmYliZWpNtMJlnkStXyKZNJcfEl19KtYSMsaaNDdm9e9HrTf1nKpVT6lMQRM6ZU/q9n1VOPThFeIG/XPqFAwdKDo88R8/u/YlSraa3f6RoQLhcSlYK3d6aI9Xs+lmz5urVq1JUUevWmimPJOl7z5e1v69NeIG2i2xZZWkVwgusNKMZazSKpSCQy5YVHrHne8+XqOnLym4p+el2oig5RV1cqNcx9PXXki16/Li27KNdcwhBxc+/0EybHLF3BF2WuTBXpWKtWuRLLxVxY0pITFoMlfOUrN3mNps10z0mN1f6PFtZkeeKWZo4MZF8803mp/o+elR6nWWeXUzFBqtwBQxpsmElYwi5KjVtal6lWZUHTM3Irmh1nhmuhcUSihy2fc1b75i6vfwIZTZ/OXK9RHu8PNGbAPnCWP17FMXl0Bi+PcuXLYb6sMELJzngY+9iO7XycGl1lrBM4rWw2BLrY+g+CvsonU5Dz0G+hFlGiWqSlZY//W4Xq/C+jMyzgKkYVqbWZBtM5llCFMnNm0lraynS5+hR466/bRvzU9QKIzQhlIKXwLrtbrF2balukyky/eh0ms03Y2hEEs3MpHpUebh73iYq3ePFcMNtx8AHQUS1c7SpkqDlxPr7b+kggA4dyNinzLdsVTZ/u/obJx2exA/2f8T3vI6zkqOaDg7SvKLo5DVJimZfXvD94M8/pfd6wwb98zIzpQMH+vTRlp0OP03U+4cuHikajrU9V/YQXqDffT9OnCg5ltIMPz/JYDYGbyRmm9PKWsXPPtM9ZsEC6Rp37CjZHqJIbtki/X+rWlW3k0/GNDAVG6zCFTCkyYaVaZKemcOz1x7x36B7DLgcYZTT7Bb/dI4AOXyajxE0NA1enSIVVddX12rdvksEyM4jvEu8h1otsk5PPwLqQlMfy4OFW4IIkIM/9S7zveauPyvVeFihXctsy4ErBMjRX5b/SYVSIfnMMnfuycgYE1MxrEytyTaYzLNCSop0AiIgORsiI0u2jiiKjE6L5p34O3yY8pBqUf2EjHz1VdLSsuii9C/vepl2b40jQPqa6KHEjX5oxL7b+nLjRum+Bz+udPD38XgCZIcxvxR7zdGr1hAg3xgXqiX74w/p3letKjlVMjIKZGlp5C+/SMXQAak4+k39JVvzuRB5gWi6h1Z2GUxJKejv0kVKRS0qSm/FCmm/gKdMPVEU6TRCKiz/ZG2q5Kxkms8357Qj03j8uDT3jz+K1rO49N/en+4T3yBA/v67tvzSJek00BEjSr/X5ctk48aS83HePDlN0RQxFRuswhUwpMmGlWlw8348P1nszzo9/WjhGkpArXkMraCiZbVbbDnUhz8fvFqiIuBqtUjHxuepsIsuUQ0oU8Sm1lVa19BtoeVFuykqPSr1/YpPzqB1zWuEZRIPndY2WMqDzOxcWrrdppnzPSanZRVrbnRCGg/43+EvR64b7GjNzlFRWTmcjk3Oa8nUapEWbndoXz+kWHqUlvtRSYRFKuv1ltNzZZ4vTMWwMrUm22AyzwKnT5P160tfrhcsKP6X6/iMeK4LWsf+2/vTYYkD4YX8ZrvIli/98hL3XdtHtahmVBRZuTL5wguFp7p5h3kTs2xoaZOtUWTdVLgVd4vwAlcFruLgwdKpknn3o1H3EMI6nhfu3daYExdHrl1LfvGFFC2UnKy9blZuFit1/INQZvP8lRQt+YULBQ4sa2uyeXOpuLmZmdRXr54UYWdotNzg1Z8RgoqTPi9IH/Tzk9ZavVp7fHxGPIMfBTMmLYak5FSrVIkcNUp77MQ/ZhNmmfxovGZq4oAdA1h/VX1mZ4t0dJRqehmT+Ix4ms03Y7d3j1AQpPv+JKJI9uxJOjlpy0pKaqp0DwCyb9+yLZQvU/6Yig1W4QoY0mTD6vklNimdY+f50aHBRUKQnFmCbQyrtT/N7qO9OXKmL8ct9OPoL33ZbZQ3nZoHEebpBEi7upe4as/FYu+58c/L0i/eD7yNfj3PG8fP3Ss0imnycqno+MeLjFMbKuByBAWbOFpVv8HEVP1HN5cVb06XotSmrzL8eJeAyxFs3M83/3MHkLBIZZMBvrxxv2iLoN9H3gTIvwO0HXp5p0/u972tY2bZ8NrjSL2th66W254yMsbAVAwrU2uyDSZTkeTkkF99JRW2rlmz+BFS5x+d5/Bfh9N8vjnhBTb8oSHHHRjHlYErufXiVq45u4bjD45njW9rEF5g63WteSHyAlevluyBX3/Vv7YoimyxtgUdO+6no6PIbBOriLEqcBXhBV6JuEsrK3LiRKn/zr10QpHDRi/9qTF+/36paDkgOSEB0s2N3LdPe+1D588T5qls0F33oTdqNXnihFQk/qWXpGi6GTOktLjipIDejr9NdFxJhVLFiIiC/tdfl07XTH+izGxUahTf2/8eFfMUhBcoeAkcuGMgw5PDOX68lF6YkKC5/rmH54gmv9HBKV3D4bouaB3hBYZEhXDUKMnJZIy6cHmsP7ee8ALbdUlmy5ba8t9+k+7/2rXG25OUnGYbN0r3olo10sfHuOvLVBymYoNVuAKGNNmwev748+QdthzqQ8FKKjZpUfUOe7xzgj8dvFJkgev7UUl8c/rjU/JANu7ny+iE4iWru7UNJKySeCcioejBJkye48U/RPson+wcFS3dbtPS7bZRT5jMS9VrPqR8/+Ldi0yiYBNHx8bnDY76m7UmUPqMmmWwcT9fTlh2ihOWnWLDvicJRS4Fmziu2Vt45NWVuzGEMputXta+3hv34wizzDItbP8kuSo1zV3v0q6u7uO4ZWSeZUzFsDK1JttgMhXFjRtS/SWAHD2aTCpGCcszEWc45JchUuHxJZU49Z+pPP/ovN7C57nqXO4I2UG35W40n2/OzUFb2by5FC2WU0gw95bzW4i3XiJAHjlSzAt8xhm0cxDrr6rPgwepcX3DPj1DgPzFu6BC+bFjUgpc27ZS6mJuLnnyJNmmjTR35Urt9duOOCjVgzp8o8yu4d1fJhMWqRw+oiC/MTpa0nXKlIJxd+LvsO7KurRcYMnJhyfz92u/86sTX9F2kS2dljpxz7FbBMgfftBcXxRFVn3vMwLS9eaRV+x9xrEZ+Y4mY6audtrUiU2+b01LS5GTJ2vKVCqyUSOyWTPjOtSeJCSEbNBAcmIuWmS6Nef+S5iKDVbhChjSZMPq+SAxNZMfL/KnQ/0QKfpFmcVa3fy5cveFEqUYxials8Mb3gTUtHC7w5MXDT9reZ/PLQJqdnjDu9j7mhLWNa7rdXR89rUUtTV5+Smj79v2Ve9iR1CVlhZDfQioDS6K//EifwJqWte8xuPn7mnJ9/ncornLXcI8nUt+LvyImZpdTxFWSYxPztCS1e9zkjBP473Isi8sn1dz7pPFxonEO+h/l29M82ODPqfo2Ogirdxv0aLqXdrXvcJqbYPYpJ8/h03y4w+7rzAiugyqpcr8pzAVw8rUmmyDyZQ3GRnk7NmkhYWUHrhnj+Fz/e77sd/2foQXWGVpFS7wXcDETD1H4ekgPiOefbf1JbzA97/+gwC5aZP+8Zm5mXReVJ1Kq3R+9JHhej7rZOZm0nqhNT/7+zN+8glpa0tmZZEqlUgLp3DaNTyT7yiMjJTS9po31z51MCuLHDaMBKSDAJ7kfnQCBdsYOjQ6R1UZeEcepjyk8sWZBMiLTySCLFsm6ZNXUy0+I551vq9Dp6VODAwP1FjjRuwNuq9wp8cKD3o2z2b79tr7TP1rLqHM4icTNG3AgTsGstZ3tZiUrKaFBTl1qnGu61rMNcIL/PiH3QSkwvhP8uuvLDTqUBRFnnpwinNOzOHQXUPZdn1bNl/TnH229uHofaO5wHcBvcO8mZ5T+OnpKSnkW29Je/XoITmjZZ5fTMUGq3AFDGmyYfVscyjgLtsM86FgIxWXNHcJ4+Dx3rx+zzjFrJdtC6ZglUiFXQz3/Gv4b866Pf0IswwGXf9vnl37T+BdAuQrk3y0ZGq1SCuPG7R0u11kJF1JSM3Ipk3NqxSsEnVGjRmbHf9cIwSVwdFis9YEEopcOjY5r9Mhlcfl0Bhaud8kLJMLrSO2fMd5vU6lHf9c0/s+GBvXVmco2MUUu97YkySkZHLkjJO0rHY7P01TsI+ifYPzdGt/ih6d/FnZ8ywtPa5TsIvWqJtn7X6b7V/146JNFxmTUP5pqTLPN6ZiWJlak20wmfJCrZYKhtepI/1Nefttw4rGi6LI43ePs9fPvQgv0GWZC5f6L2VKlnY9J0PIUeXw9V9fJ+aCtT1jWKsWC005nHNiDuG5i04uuSZTaPtY6DHCCzxw4yBr1CBfeUXq37DvOgHy/XkFx+aNGCE5IvUVd8/JkWo0mZuT/k+ZSaO+CCRATlr1j9GvYcrBLwj7CHbtWeCkEUWpMHqXLnk/ixywYwDN55vzdLjuB7IXIy/SdpEtG765kQAZFqYpD34UTNT/m67VkzVqtG0P2U54gf73/TlwoFQrrLAabobyxbEvqJyn5NQZqVQoNB2Koki2aCFFbj39WRRFkXuu7GHTH5sSXqBinoKeP3py0M5BHLprKDtt6sQa39ag4CUQXqD5fHP2396f68+tZ1RqlE5d8k4vdXSUPgPz5mmmeso8P5iKDVbhChjSZMPq2ePuw0SOnOlL+3rSSXtQ5LB6pwAu2xZcJs6SA/53qHR8SME21uD6Rb4XHhDKbDYZYKJH2BRBnzHeBMiz17Sde8u2BRMg3/vqpI6ZxuH4uXuEZTLt64cwM7uM4qIppeLZ1rlMwS7GoOiofwLvEpbJtK19xaAi+gGXIyjYxtLC7Y7e8bkqNc2c7rNyU921I+zrh9DcJaxM/m/k8duJmwTI3u97l2i+Wi1ywtIAKhwiCZA2tS9z+DRv+l68pzfyUhRFXrjzkHM3BrDXmGN0bHqWMMvM/51QqcFlvjjWj1sP3mR2jhyzLlM4pmJYmVqTbTCZskalkuoytWxJAtKX8+PHi56Xo8rhrsu72H5De8ILrLa8Gr87/V2RESeGkK3KZv/t/akcPZgAuWaN/rGPUh5R+frbBMjAQP3jnic+P/I5LRZYMDBYqke6caPU7znAj7BIZUSc5FHx95fes7lzC18vMVFy7tSsqemMycoSaeUaTqXbFUanGKnyOcm49DhaDv+QAHn4cEF/cLCk77p10s+bgjcRXuDqMzoqyz/BqsBVxKTaBKTIrycRRZFVXp9BQDpVMI+UrBRaL7Tm+IPjuW6dtO+VK6W7rlx1Lqstr8aXfnmJPXqQ7dppyv/6S9pn61bN/kcpj/jithcJL7DZmmbccn6L3ojGhIwEHrx5kNOOTGO9lfXy649139KdKwNXMjxZ+6F1ZCT5xhvS3u7u0uelrFIiZcoGU7HBKlwBQ5psWD0bxCSmc8YPgazeKYBQZhEgLd1uc+An3gy5U/ZHZhw9E0aFQyQVDpE6HTa6aD7Eh1Dk8N+ge2Ws3bOHZbVbdGiguyC/S8uzVNhFlyrCxxAmLJNSH7uM9C6zPUZ/6WtwUfz45Axaut+iYBPHwCsPDd5DisxSs/UrPnrHvDDWmwDpff6+lizvPnhtOGvwnsWlZtdThGUy7z40PP0ij9vhCXRrJz09ta55lct3nitRKjFJRiemcOHPp9n+zaO0qnk5/1RUwSqJNTqe4TuzAnjqYgnPb5cxaUzFsDK1JttgMmVFbCz5/ffSKXx5p+Dt3Fl0/Z7otGh+c+qb/CLwDVY14Jqza5iZa9yI4cTMRNZbWZ/mtc/SrZqKmYUs//rWjwlBzZmzTSNq2fNHT/bd1peLF0vvzcOHZEp6NgXrBNbqXvBgdMAA0sXFsGidwEDpYIDRozX7l627T4DsOXmz7oklYMrhqUTVi6zfKFMjWmrqVCmCLD5eKiDv+LUje/zUg2qx8A+dWlSz06ZONK8RzNZttMPzPtw5hxDUnD1X065+47c36LzMmfce5BCQ6lOVhr9v/U14gbvO76eFBfm//xXIRJHs2FGKfHyyTtz5R+fpttyN1gutuebsGqrUhocXiqLIkKgQzvWeS88fPfNPGO2yuQu/DfiW95M0bd6TJ8nOnaXPTK1a5IoVxauVJ1NxmIoNVjGbAgMA3ARwB8CMosbLhlXFoFaLPOB/h29N96VrqzOEWUb+aYetXvbmjn+ulvgLcEnZ53OLsEymdY1rBhWZD7kTTZinsVY349Qgel7Y7yullA2f5qMlO3Q6lIAU2VUeNOx7koCaS7fpjmoqDTfux1GwiWelRobVdZNquJELNgcVe69mg6WaXpv+uqxTHnjlIQE1u43y1pKlZ+ZQ4RBJ5xZl49z6J/AuIajY8U3tvYviD5/bVFYOJ5TZHDrhhFEPFyDJy2GPOH6pD+v1PUGF44P8FEZz5/ts0s+f788J4J8+YczJlSO7/uuYimH1rDfZBpOpSGJiyO3bpRPwzMykvwddukinuxUW6RGfEc+dl3ZyyC9DaDbfjPACe/3ci3/d+KtIx0RpuBh5kcp3+xEgN2zQb2cEPQwiPE6zdjPDH5w9qzxIekB4gctPLWfXrlJRePJxSQeQ8zZKtsy5c9L7t2SJ4WvPni3N+fffgj61mqza8AFR6R59bpc+9C0sMYxmo14mQG7ZUtCvUklRRUOHSj9/cvATms034/VYw2q1nrx3kuj7PwLUOHmRJH3v+RLVA1jXM16jf//1/YQXeOjWIXboIB2QUBqG/zqczsuc+fdhyVl26NAT+p2k1gmJAQ8CaLfYjjW/q8nL0brt1+JwPfY6F/ouZMu1LfMdXR02duA8n3n0u+/HbFU2RVGqA9a9u6SPrS05ciR58GDh6b0yFYup2GAVYVQpAYQCqAvAAkAIgKaFzZENq7InV6Vm4JWHnLPuDF8Y681q7U9TsI3J/yJq5nSfrV725tJt55ieWcixMeWA14azhKBinZ5+Bjk0uoz0JkDuPvbfqXTY4x1vAmqdEXXthnsTipxyibYjpYMBLNzuUGEfxcuhMUZdu0aXU4Qix6BU1S0HrhCCio37lSxNNTwmmYpKj2hd47re9ELnFmepdHyo00HU+33pc3jA/06J9i+Mml1PEeZpxb6/q/ZcJCyTqHCI5M9/lzJW3gBUajX3+13nK1P+pXPrAMI6vqBml0UqKze+yFZD/Thiuj+/23mJIbfiyt2BLlNxmIph9Sw32QaTKU9UKqlo97Zt5IQJUgqVIEi/8z08yGnTNAt9P0l8RjwP3z7M2cdns/uW7lTOUxJeoPsKd04/Ot0oX9QNZcnJrwm38/Som1xozaQaL20mBBVj457vwlsbgzcSXuCpG9epUJBz5kj9dXufpGCVmP894O23SQcHMjnZ8LUzMqQIvYYNNR0dBw5L6Y/ur60oVmSRLkbufZtCtfOsWTtXI4Ipz/mzaxd5M+4mlfOUHH9wfLHW7vb1OOnUxLWaEXoqtYq2A+cTIB88KOjPys2i49eOHLF3BBctok7HmKGEJ4dLtbb+mcrJk0lLSzLtief8o0ZJhf3zouguRV2i49eOrLeyHiOSS7hpIdyKu8UlfkvYbkO7/Dpdtots2X97f84+Ppt7r+7l/hPh/OADkZUrM9/RNXAg+c035IkTUgSdzLOBqdhggnQt5YcgCJ0BeJHs//jnmQBAcom+Oe3ateO5c+fKScPnH1EkUjKykZiShaS0bCSlZSMhORsPotLxMCoLkTE5iI4VEflIgZgIGyRHOyE33h1QW+avYe4ShhqeD9Gjh4i3h9REn7a1oFAIFXhVmvQZ4wPvn3rh/bl+2OLVvdCx96OSUaeuCJdGtxF9oUM5aVhxiCJhXS0MNlWSkXi9tYYsLTMHDi7JcGsaikdnO5WbTn/43sarfavDsf4NPLzQDDZW5qVec8LSAKye0QUvfuiDoxt6FTpWpRZRqe4NZCVXRthNG9SsWqlEe3769SmsmdkVnyyWXp/m8+9O49upnTFvYxC++qC9huzmg3g0bmCJWh1DcO+k9tySsuvoDYzs3xhd3/aB/45eBs/74dcQTBxVHxZOkfA5Zo3OzTyMppOhqNRqHAkKxf5/H+H0GRFhV52R8agWkP3E+2OeDovKMbB1SkZl1wy4uefC2VmAU2UlnKuYoaqTJao6W8HdxQbOlaxhb2MBexsLONhawsJcUe7XJFNyBEEIJtmuovUwZWQbTKY0kEB2NpCVBWRmAsnJQHy8ZgsPB+7eBcLCpNfMTGmurS3Qpi3Rs3cOuvZJRX3PFKTmJCM6PRpRaVGISotCWGIYbsTfwI24G4hJjwEAKAQFWrm1wsD6AzGk4RC0d28PpUJZrtetElWoN9YLD35eiN//ysCrL9noHLdo53HMHvUCpn8fhKWT2usc8zww/NfhOPPwDL6r8QCvvy7g1CmgZZsc2FdJQ52O1xHq3RVxcUD16sAHHwCrVxdv/UOHgMGDgZUrgYkTC/pbd4/ExXOW+GrfNswbOLlEul+IvIA2kxcAv+7Dzz8D775bIJsyBVizBoiLA8b/Oxp/XP8DoRNDUdWuqsHrn3oQgG4tPNCitQoh3vU0ZG+snYPfxi/AdytzMXligZ074dAEbDi/AT6DI9GlTRV8+62kS3GZ+e9MLAtYhtCJoejXoTbq1QMOH5ZkCQmAuzswdizw449AXEYc2m9sjxx1DgLGBKCWY63ijRDLhwAAIABJREFUb1gMEjIT4HvPFyfCTsDnvg+ux16HmmoAgJ2FHWrZNYBd+CvIutELkZc8EXPfKX+um3suGjdRo1YtATVrKFGrhhLVqgmoVAmoVAlwdJRe7ewAwYhfRUlAFAGVClCrpabv3wqF1JTKglbYz8bUs7wwFRusIpxbwwEMIPnB459HA+hI8jN9c8rKsGoy4CTuX3MBIH0CycefxLxb8vhnopT9gP498sc+Jc8j/+ei51NlAeZaASpr3Rf8FIJNAqydo1DFPQnuNXNQr64C3ds54uWedeDubG/QGhVFTq4abq1CkHi7Ef4NiMML7Qr/pd1/nOQA2XLgKt4f4llOWlYMvx6/iTf7NsKIGSfxy5IeGrI854vXhiDM/dAww+tRXCqu30tA7WoOqOdRucR6fbzIH+tnd0Ozwb64fLBnidcBgOPn7qNvd0fYeTxA7LUmsLIwK3T8+CWnsHZWV3y8SHotKSq1CIc6N5Gbbof4B65wsLXUkEvOwxS4N7+NiNOdteZ3eMMHQXu741DAfQzsVLfEeuQhioRrq2AkhNbFvbtKg512u47ewMiXPGBROQbnAuzRvK5rqXUxFmpRxLmbD+F9LhLnLqXhzm0BcdEWSI61Q2ZCFahTqgJqC8MWE9SAWTYEZQ4E8xxAUEsGhyACAiEIBATxiT5AeOJVkjP/12xFIwjl+/daF1b2GUi42qZM1jYVw+pZ5lmywWRKR/Mhvgi9VFWyCwkAgmQL8gm7koIkogDgsYyadufTY7TXUEj2pcpSsjGLQLBMg7LKA5g53Zdeq10F3c8hy/EicphZ6Nwq1lXQxLkJGjs3RhPnJmjl1godq3eEnYVdcW+P0fG/exbdW1ZHnUZpuHuuoc4xWTkq2Dimwb19ICJ8B5SzhsZBJargvMwZrzd9HWaHN2LnTslpuXzXWcx6twNmrQ7Cok/bY8UKYNo04NIloHlzzTWSs5IRkx6D2o61Ya7UfphJAv36AefPA6GhkvMCAC5eJFq3IRRdV+Dsnj5o6962WLqLFNFzS2+cnr0WdR0a4dpVJczMCvasXRto0QJYsyMcdVfVxaftP8X3A74v9j2q2usPxAa+iPQka1hbFThaD98+jEFdaqNVQ2dcOOWS33815iqarW2GZX2XYc+k/0EQgKCg4u2ZnpOOGt/VQJ86fbCk9V40bAj88APw2ePf3KtWAZMmARcuAC1aihiwYwBO3j8Jv/f90N6j/B2tmbmZuBp7FRejLuJy9GWEJYXhXtI9hCWFIS0nDUhzBaJaAtEtpde4xkBKdSDdrfCFFbkQzHIhKFUQlAX/zvtdBSoe/55TFPwuowIQFaCoBEUFQCWoVgIsQye5ID62Lwko1Pn2JgQRgiLvNc8GFQFFnl0qPjWe0nhI9mjr7pEI2FW671B6VTYRG6zwb4QViCAIHwH4CABq1qxZJntUcRKR6JLyeL+8jfP21/wSITzdL2i8aPfrWkePTChK/tQXK31ycwvCypqwsgKsrQEbawE2NgJsbRSwt1XCo6oVarnboq6HA+q5V4aDbRUAVbRvzHOAhbkSR/ZWQ4c2Krz6dhLir9WAmVJ/lMZPi9qi+o54fDE7A+8PKUdFK4CVWyIBoT7mjGuqJdv6kzmUjg8x872iv5zO3xSE779TIvFaGwCSs9PCLRTD3onAhq86aTl2imLdl91w7oIPgn/vhZcm+ODAD72KNT+PmMR0DHk5G4JCjcP7Khfp2EpKy8KGb2rBuuZ1/PCFtsOpOJgpFfhqQQZmvtcEH833xe6lmn9g7Kwt0LrfFZz/qwuu34tDk9rOGvItX3ui+f5sfDI9EvdOlt659eWas4i/3BGvTPJFzaqG/bE7feUhRr3uCKVNCgJ8bZ4pxxYAKBUKdGxSAx2b1NApz1Wp8TA+ARExaXgUm46ouCxEx2cjJi4XqWkisrOJrGwiO1uKMMjJEZCTDeTkKCCKAEXpixxF6WGB+PiVfCzj0z8/I56tivdrAQCs7XIrWgWZcqA8bDCZ0lHFiYh1SX7snM+zByVnvIDHr49lAh6/Ck/ajgV2a/48AQCeGPf4VWmRCzPzXCgtpGZmoYLCPBeWtpmwtE+DlX06LO3TYWWfDgubbGn+Y6NWEARYKNvA1rw7bMxtYGthC1tzW9iY28DB0gFudm5ws3NDVbuqsDHXHRH1LNCtbge0fHkPQna+Ce8zsejd0UVrjJWFGZp2fISrwc1wM+4WGjnrdoI9y5yJOIPk7GT0r98fM/8FevUCzM2B7bvTAfMMfD66OUhg82agc2dNx9bl6MuYcXwGDt0+BECK2BnVfBQW9lkIJ5uCSB1BAL75BmjdWnLQzJkj9bdqJeCNETn49dcJeGPzAFz64m/YWtgarPuG4A3wP1wNiGqK+d8h37EFAMHBwIMHwLx5wMozK0ESUzqVIHwKwHvDXbDM1w4r9gRg9rtd8vv71OkDC881CPGfgKSkAqedp6snutfsjnXB6/DJiM/xv2kK3LoFNCzGx2NN0BokZiViWpdp+Huv1Dd4sPRKAhs3Au3aAa1aAd+cWoFjd49hw5ANFeLYAgBrc2u0c2+Hdu6avhKSSM1JRXxGPOIz4xGfEY+EzAQkZQUhS+WHtIxcxEabIyHOHKkpCqSlKpGdboXsNGvkZlpArVJArVJCrVJCVCuhzpX+nec4whMPJgWNB5mEQqmGoBAhKPJeRQhKUbtPIUJQav5M4rGD7LGTjMLjfwtP/Sw1iIr8PsnJJo2V+h874MS8/ifHPB7Hp2XS71PXqmIFvJvPGeWdBwmgM4AjT/w8E8DMwubI9R5k9PHBPD8C5GtTfYocO+BjbwLk+j8ulYNmFYNaLdLM+R6reJ7TkvmFhBNQs+e73oWukZyW9bh4OqmsHM7uo7354QI/9h/nTbu6lwiQFlXv8LcTN4utX3aOih6dAgiQY+f5FXt+emYO3doGElBz8U/a16iLgZ9I7/vyHeeLvZ8u1GqRdvUuUVk5XGf9uX0+twiQL0/01jm/8whJny0HSlfjKjYpncrK4bRyv8nMbMPOW05Oy6JNrauEZRL3+dwq1f4yMsYGJlLv4Vlusg0mI1NygkPDCPN0Nn7xlN4xK1YnESBHr1tajpoZj9nHZ1M5T8mQG8kEyJUryezcXCocHrF6R6nYe3AwJXt6fcG8o3eO0naRLZ2WOnHOiTnccn4L39//PpXzlHRf4c6QqBCtvV56iaxShUxNLegLCyPNLdRE8x0c++dYioUVOXuC67HXaevlQivnSDZvLmqduDljhnRSY9jDZNovtueIvSOKe2vySUjKIZRZrDt4n5as35KvCJDbtmvWDdt7dS/hBa498ScFgfzqK8P3S8tOo8syF/bb3o8k2a0b2axZgfz06YL343rsdZrPN+dre14z+N7JyJCmY4NVhGFlBuAugDooKGbqWdgc2bCS0YdaLdKpeRBhmVRkMe3I+FQKtrF0al78k/KeF7YfvkaAfGf2SS1Z99HeBNT0DwnXOz89M4dV20in4bQb7q3lvFGrRXptOEuFfRRhlsEZPxT/VJvktCxW8TxHgHxruuHF3TOzc1mnp+TMfF3HKZC6uHE/jrBKomurM8XWszDmrj9LgPxwgW4HnW2dy7SsdktnMfSHsSlU2EXTvn5IqYqlt35FckCu2qOnGq8Omg+R5sxYfbrE+8rIlBWmYlg9y022wWRkSkfTAX6EeTqD74bqlIeHkwBpNWg203PSy1m70tNuQzt23dyVmzZJ13H1Krn6d8lmm7hUsvmmTCHNzQuKgYdEhdBqoRWbr2nOhymap0Wef3SeHis86LDEgecfaT5kzHPKrFihqcPcuVI/Rg7kioCnhDpIyUqh54+etO6zggDp85SJKIpkgwZk377kUv+lhBe0dCkutdvcIlyuahVq33P5N8LuEXsO0jy0SaVWseEPDdl6XWu+8ILI+vVZ6OEET7LQd6FU4P/BKUZESPdmwYIC+ZgxUqH25GSRPX7qwcpfV2Z0WvkcGiVjOpiKDVZRxtUgALcgndjzZVHjZcNKpjAOnQ4llNms30fbofM0g8Z7EyDX7TPN6K32r3sTihzeeqB5/Eh2joqKSo/o3OKs3rlqtcj6fU4SIN+c7qN3HEleDo2hbZ3LhCKX45f4F1vPxNRMurY+Q4BsOdSHqRmFnw0cHpNM5xaSQ6nvB94G79NyqA8hqPinX9GnKRYHtVqkVfUbtHS7rdNB9fYsXwLkpr90n+b07pyTep2QhrB0WzAByVllKJOXnyJAtn3Nu0R7ysiUNaZiWD3rTbbBZGRKzlH/WAJkmzE/6R1Tu0EaUf8QNwZvLD/FjEB0WjThBS7wXcC33iKrVZMcMK1fO0oochgRnUaVinRzI195RZqTmp3Khj80ZLXl1RiVGqVz3ftJ91n92+p0X+HO8GTNB6y9e0v7ZGUV9GVlkZ6eIq0qxxH/c+YPZ37Qq3Nadhq7b+lOxbj2NDNXc9Qo7TGXL1M64fDHXLqvcOcLW18o9r15mi8XSZ+Dz3ev1uhPzU6lsv0GmltnMlPzQEVuPr+Z8AI/XSDZcGcMeO4akRxBm0U2fHXPqyTJ77+XruXG4wPgk5NJGxty7Fhyy/kthBe4KXhTqa9P5r+HqdhgFa6AIU02rGSKouOb3galHEYnpFGwi9GZtve8o1aLVFYO1+nAWvyT9NRt6rcBeue/P1dyuHQf7W3Qfg9jU+jY+DyhyOXc9fqdZvpIz8zJjz6ycr/JJT+f03IU5arU/N/K01Q6RhCKXI7+0vBIr6NnwghFDhv3N3xOcfhwgZ/edMfwmGTCPE3v3rkqNR2bnCcsUuh74YHOMfoIvhlJhUMkLareYWySYU+F/wm8S1gm067eJZ2plDIyzwKmYliZWpNtMJn/Aj4+ZMeOkqNl/HhqOSaepFqjB4TLFV6Lua5T/vHHIhWWaWz5Y9vnKjVse8h2wgs8G36OLi7kqFGkKIo0cwmlawvJ1jl5kgTI3bulOTOOzSC8QO8w70LXvhR1ifaL7dllcxfmqArskH//pVaKI0leuEBaWop0bRFMfKXguAPjmJKVojHmeux1tlzbksIsB1arnczq1QuiyZ5k3jxSEMjvj+0mvMDDtw8X+948zc2bkt5ubyzQknX6Yi4B8uDBp2xadS6brG7COktb0dJS5MSJhe8hiiJf//V1Wi6wZGiCFCnYsSPZsmXBmHXrJD3+8UlglaVV2H1Ld6pFtZ4VZWT0Yyo2WIUrYEiTDSuZooiMT6Wi0iNa17jG7BxVoWOHTvCWnuD8ang61/PApr8u661l1eCFk4RlEhNTdVtrx8/dIyxSWKnRhSLv35M8jE2hdc1rhHkatx++ViK9Z64OpFmVBwRIc5cwNhngyx7veLPRi75UVg7Pd35t/FN3FJQ+PDoGEBapDLlTNqHZiamZFGxjWa297hS/er39CMtkRiek6ZT7h4RLDqe6lxifnGHQnrFJ6bSpeZWwSDG45ll2joq2dS5TsIln4JWHRU+QkakgTMWwMrUm22Ayps7Jk6SZGVmzJjl8OAmQI0boTxv7bo1Uj2rwkiU65Xv2SGvgg/YMeKD/oeKzxsjfR9L1G1eev6AmQP78M/nnKancxcjp0nVMmUJaWEgRQ7fjb9NigQXf+eMdg9bfdXkX4QV+efzL/D5RJDt0kNIGn66TtX69dB9bDDpNzBVYaUklvr//fX55/EsO3TWUinkKVl5UlW26xVCpJL29de/bogXZrZtIzx892XxNc6M4HEWRdHJPIhrv46UozQfrG89sIyyS+fII7XIph24dIrzAZr2vsnJlMr2QZ5Q7L+0kvMBFJxeRJC9dolYaZ9u20vWN++tjms0349WYq6W+Npn/JqZig1W4AoY02bCSMYSJ35wyqI5TbFI6FXbRdGxinALjzwpthnkTyizei0zS6E9OyyKsklivt+76UE/WLQu4HKFzTGFcDo2h0jGCysrhWumQhpKYmsl355xklWbnKNjESefV2cXQucVZTlh2qtjRRuv2SYXve7/vXSJ9DKXzCG9CUOm8b6v2XCQgHXqgj2nfBRBQ06NTAHNVhT9pi4xPZeWmwQTUnL3G8BpiL0/0JkB+9rX+ArgyMs8CpmJYmVqTbTAZUyYyknRxIRs1IhMTpb4lSyiVFtCT3ZWWRlrYplPRYqdWjam8NQHScuBsvv3722WovfFQqVV0WurE0ftGc/lySf/wcHLIxKMEyNMh0RRFsnZtctAgac6ofaNos8hG5z3Qx3v736NynlKj5tWOHdJ+R49qj581S5INfC2Ww3eOpvMyZwpeAut8X4cTfv+KvV7IJEBu3qx7v9u3pfkfzLxKeIFbL24tzm0plFHvZRBWifziyJca/fEZ8RSa7aaNYypVOp4Xv/HbG1SO6UmA3LBB99ohUSG0X2zPzps6M1ctHRr02WekpSUZFyeNOX9eurY5X0dTOU/Jz/7+zGjXJvPfw1RssApXwJAmG1YyhqBWi6zU6AIFuxhGxqcWOvaVSVI63Pe7LpSTdmVLrkpNpeNDurbWdnrMWiMViF+wWXch/bzi6K9M8inx/j8fvEoos+jc4myxIr/0UZo18k4zVDhE6o2aMhYBlyMIQcXOI7x16mHucpcODQuPEBzymTcBslr703o/t74XHkg1zgSV3iL2+ubBPI2urc6Uqni9jEx5YCqGlak12QaTMWXGjpWKo197IvhcFKX0r1q1yGw9JUFHf5hEKLP42W9eOuWNGpG121+mxQKL56K495mIM4QX+MulX9i/P9m4sdTv2CyQlm53SUqpggC5cSMZmhBK5TwlPz/yebH2SchIYNVvqrLN+jb5TpusLNLZuaCO15OIIjl/vpRWWKsW+fXX5N69Ks6fT1atKr13+hxEJLl0qaRz5+Vv0WOFB7NVhdd4LQ67d0trV5v8ilY0WLPxCwiQfn7atldCRgKrr6hBM/crbNg0SytC8FrMNXqs8KDHCo/8GmWpqWSlSuTbT/hKP/mEtLIih/00hraLbPXWPJORMQRTscEqXAFDmmxYyRjKxj+l1Lw+Y7wLHRefnEGFQyQrNbpgEl/686KEdBV3r9XNn4JNnM7op/TMHJq73qWFa2ipazGNnCkVUe/5rnep1iktU78NICAVbS8PqrU/TcE2VmfKZ/9x3lIthMC7euer1SKHTZYK35u7hPHjRf68H5VEtVpkwOUI9n7fm7BIISyTOX2V4accqtWidCqlZbKcjijzXGAqhpWpNdkGkzFVLl6UnCZTp2rLDh+mzlpQeeQVKbccPINJmUla8o8+Iu3sVcRXCi4+udjImhsfL28vCl4CH8TF0sqKnDSJfBAbT5hlstPrkm351VekQkFGR5OfHPyEFgssihW1lcdvV38jvMBl/svy+2bMkNYO13Og9/HjZKdO0j3Pay+8QJ4touRrhw5kkxZphBf4zalviq1rYcTEPNalz0yt9NPlJzYQyiy+90mczrlXoq/Q/o3PCJCTv/NhZm4m03PSuTZoLR2WOND1G1eGRIXkj8+LJswrQp+WRjo4kINeiyO8wDkn5hj12mT+e5iKDVbhChjSZMNKpjhUa3+asEzmjfu6/6Dk8dpUH70FwZ83mg70JczTtSJ/ohPSCPM0NhmgO1Uzr4j8rDWBpdZBrRalOlNQ640SK2tSM7Jp5nyPlu63jBJBZgjLHp9cqCui6sKtKEKRy05veRe5zvId52nlcaPAcDPLzP+3a+sz9A/RY/HpYew8P4PSdGVknhVMxbAytSbbYDKmyquvko6OZEKCtkwUyTZtyObN9dfeat42lXC5wq/9lmrJfvlF+vvdzmsca35Xkyp1+dgkJaXTpk7suLEjjxyR9D50iJz2g/TQctUuqY5TixZk9+5kUmYSbRbZcMz+MSXaSxRFvrzrZVottOKd+DskybAwydE4pwgfTVQUGRRExsYWvU9YmHQtLUbupMMSByZnJZdI38Jo3kJFoY43JxyaoNH/MOUhUf9vVvGI1/v5ufToGi2r3iNcQ6j0Mie8QHiB3bZ04/2k+/njUlJIJydy4MCCuVu2SNfWfvZUOi11KpNrk/lvYSo2WIUrYEiTDSuZ4nDA/w4hqNhmmHeh4xJTM6mo9IgODS4+19Fb6Zk5FGziWKOLdk2lyculOmTf6Ui/zMzOpZnzPVrXvGa0649PzqCVxw0KtrEMvhlplDWLw7DJPoWmYJYFarVIi6p3aFv7ik65a+szVDhEMjM7t8i1clVqLtsWzH4febPdcG++OsWHx8/dK7ZOIXeiKVgl0qHhxSJrecnIPCuYimFlak22wWRMkVu3JGfKrFn6x6xdSwKSM0UXGzdKcrdJw7ScVw8fSrJ3p4cQXuD+6/uNqL1xiUuPo+Al0Mvbi1OmSHWd0tPJBv3/pWCRyvQMFUNDpev59lvyhzM/EF7guYclP3k8IjmC9ovt2X97//yUviFDSDc3/amgxeWbbySdhUn1OO3INOMs+hSff04qzHLouqi21megzuglBKQoP33s2CEV7x8weR/n+8znibsntFIc//c/6ToCn3gO3bkzWbNeGjEX/DbgW2Neksx/FFOxwRSQkTExhnSthwZ9AnD+r844dSlC7zhHOyu89uEtpNxuieU7L5SjhsZl+Y6LYIYTRo1Uasn27FFA4RCF8a8115JN/iYQqrhamDw9BQqFYBRdqjhY4/ffzMEca7zwSiRyctVGWdcQ7kclY/+G5qjiGYxZ77Utt30VCgEvvR2B9Hue2PPvTS35mDGEmOKGRZvPF7mWmVKB/41ugyPreyHot174/due6NO2VrF1GjQqFFRZYfdWe5gp5V/zMjIyMjIyT/Ltt4C5OTBhgv4xb70FWFkBP/2kW/7mm4CVtQpRJwfj79t/a8jc3YH69YH4a83gYe+BH4N+NKL2xuVo6FEQxID6A3DkCNC9O2BhqUbomYao3uoGbKyV+OMPaezLLxPrzq1DO/d2aOteclvLw8EDC/ssxJHQI/j16q8AgPHjgagoYP9+Y1wV8OuvgGuD+1A63cekTpOMs+hT9O0LiCpzxNyoD78HfhqyUcMdAEGNDduS9M4fMUKB3r2BU5uH4Z3ac9C7Tm8IQoFNfuYMsGIF8OGHQMeOUt/Vq8Dp0wDbbESNSjXwSftPyuTaZGSeR+RvPTImyfaV9QCBeG9KWKHjNnl1gtLxERbON4Mospy0My5bd2RDsErCjPdaafQ/iE5G5IVWaNH7JizMNR1fokhsXeMKK/dbWPhJB6PqM6hzXYydfQFJ11tjwDi/oicYiZfHXQQzHLHmezujOesMZenUFoBZFhatjNKSzfmgDRR2MVi/oXx0mrn6DB4GdsaL7wdiYKe65bKnjIyMjIzM80JKCrB9O/D224Cbm/5xjo7AsGHArl1Abq623N5eck4IV9/C976bteQ9ewL+/gp82OpjHLt7DLfibxnxKozHP6H/wMnaCVXV7XDtGjBgAPCrzxWISTXQf6AIAPjjD6BlSyDOMghXY6/iozYflXrfT9t/irbV2mLykclIykpCv35A7drA+vWlXhphYUBQEJBQdz3ebv42qjtUL/2iOujeHTA3J8zuDcDea3s1ZO926w/U9sYvuwjq+YqhUABbtkhFKAYPBmJiCmQ3bgAvvwx4eADffFPQv3EjYGauRnjthZjfez6szKzK4MpkZJ5PZOeWjEnS0dMdbV4KxB3vLjh29p7ecQ62lnj9oztIvdMCS7YGl5+CRiIhJRN3T7dE/a6X4WBrqSFbuPEyoLLCp2OctOat2HkBWY8aYsSH0WXiCNowuyvq9PSH98/dsXL3RaOv/zS/Hr+JkAPd4DnIH2/2bVTm+z1NPY/KqNU5GFf+bYmElEwNmY2VOXoMv4bYi+1xOPBumepxPyoZy76sBavqN7F/Vdcy3UtGRkZGRuZ5ZOdOID0d+Pjjose+8QaQmAj4+uqWf/ShAsyxhfdBF9yIu6Eh69ULSEoCulp9DHOFOdYGrS298kZGpIh/7vyD/vX74/i/0oPQ/v2BLb9GAwAmvt0A0dFAQIDk6NtxaQcslZZ43fP1Uu+tVCixfsh6xKTHYPaJ2VAqpQilEyeAW6X0A/72m/SqbrIbs7rPKrWu+rC1BTp3FmAX8Qr2Xd8HkWK+rF6VeqjTIxDxEZURXMhXjNq1gQMHgLt3gTZtgEWLgC+/BDp1kpxeR44AlSpJY7OygO3bCevm/6Bp7aoY3WJ0mV2bjMzziOzckjFZti73BMyyMW66/tREAFj/VUcoK0dgyQKr5y56a8mWi0COPT5411ZLtn+vJZSVIzBmiKeWbPl3Kgi2sfh2Wvsy0UuhEOC/tyXMnR9g6riquPkgvkz2AaQotA8+zoZgk4g/N2inX5YXEz+2AbMcMftH7fTDH+Z4AspsTF8YXqY6DHg3BGKqCzZuFGFjZV6me8nIyMjIyDxvkFJkUKtWQHsDTKB+/QBra+Sn5T1Nx45AoyYqCBc+xJqgNRqyHj2k12vnnPFa09fw08WfkJ6TXsorMC4Xoy4iJj0GA+pJKYkeHoCnJ3DWxwk2NW6heYPK+PNP6b4NGZqL3Vd2Y2ijoXC0cjTK/m3d2+LT9p9iTdAanH14FmPGAGZmwIYNpVt3565cKKoHYWT3Lmjo1NAouuqjb18g+V5dRMZk43T4aQ3Zx6NdAWU2Vm2KK3SNXr0Ab2+gVi1g9mxg8WLp8+PvDzRpUjBu3z4gIUFAarNvsbjPYigV2iVJZGT+y8jOLRmTpVldF7R/5SzCfLvg4KlQveMcbC3x1id3kR7WDAu3nCtHDUvPrt2Awi4Gk99qqdF/80E8Yi+3Qrt+d7Qis04E30fMhQ7o/tpVONqVXSizu7M9tv+SAzG9Cnq8HAqVWix6Ugn4ePEppN5pgXemXkc9j8plsochTHyzJcyc7mPXNhstWbO6Lqjf8yyuHG2H0IeJZbL/t79cwI2jPdB+uB9GDWhS9AQZGRkZGZn/GJcuASEhUoSQYEBm304UAAAgAElEQVTguo0NMHCg5NwSdZgxggB8/JEZGNERm/85i9Ts1HxZzZpSVM7Jk8D4duORnJ2MXVd2Ge9ijMDh24cBAC/U7o9jxyRnXlhUPFJvt0TbHlKO3B9/AHXrAlG2xxCbEYtRLUYZVYeFfRaimn01jDs4Ds6uKrzyCvDzz1KUUkm4cwe4dNEcYtPdmN1jtlF11UXfvgApwOx+P63UxPc7DYPQ8DD2/WYBdRFlaDt2lJxZcXFSxN9ffwENGmiOWbdeDaXTPXTslomhjYYa+UpkZJ5/ZOeWjEmzfXlzwCId46dHFzpu3exOUFaOwNKFts9N9FbYoyQ8DG6NZn2ua9XUWrD+KiCaY8oH1bTmzfomDFCosGJm2afvvdm3EV6fEoiYix3Q5/2TRl//flQyNi1tBNs6V7BpbsWm4ZkpFej9ahiSbrTG8XP3teTLvnIDcm0x9ssQo+8dl5yBLyZVgZnzfRzaaNwaajIyMjIyMqbCzp1SZNAbbxg+Z9gwIDISOHtWt3zUKMDcQkTGmbewLWSbhqxHD8m51bVGNzR3bY7VZ1eD+gowVQB/3/4b7dzbIfSSK5KSpHpbq365DtAMo16rguRk4Phx6R78cWMfHCwd0L9ef6Pq4GDpgJUDVuJi1EWsPrsa48YB8fHA77+XbL3N26TouKHDctDYubERNdVN+/ZS/TWPuHew9/pejdREF1sXtO13C+kJDjjuraNw21MIAuDkVJCG+CSXLgF+J5VQt/kRS19colF4HpAcYgcPAocPA7Gxpb4sGZnnEtm5JWPSNKrphC7DgxEe0Am/++hP4LeztsB7k+8h435TfPp1QDlqWHK++C4EUFlhxqdVtWR//2EPC9e7eL2PZih2WmYOzv7tCbc2wWjXWNvxVRbsXtoDDV7wg9/2Xpiywrj39sVRl8D0Kli/VvlMnAr49bTGgKDGnG+1DzIY1rMBqrUPxMk9rRARm2LUffu9FwRVXC0sXZkA50rakWMyMjIyMjL/dURRKg7fvz/g7Gz4vMGDJYeYvtREZ2dg2CsClFfew6qADRrOqx49JEfDzZsCJnWchJDoEBwNPVrKKzEOkamROB1xGq80egW//SadDDlwIHDwECFYJ+HdwY1w+LBUTH/oy2r8efNPDGk4BJZmlkUvXkxea/IaBtYfiDnec1C/7QPUqwesW1f8dUQRWLMxC6jzL5a8Vj6nCJqZSWmFmbe6IiIlAkEPgzTks8a2ACxSsXRd6UpTLFuRDZino+/w++hZu2d+f1YWMG0a4OoKvPQSMGgQUL26VFMu/dnKgpWRKXMq/tugjIyBhD1Kwl7vWzgceLdY0VXblrUELFMxaUbhdZ/WfdkFtrWvYsPSuohKSCutumXOwT2usK5xHSP6aT6Vung7GknXW6LzwAdaKYlfrQ0G01zwybjy+6+vUAg492cH2Ne/hO9ntsLOI9eNsu70VYG4fbw7uo70w9v9n400vDYN3VC19TmcOdgEWTkqLfnX8xzALEeMna1dl6ukfL/7Ii7s74nmQ3wxdWRro60rIyMjIyNjSvj5ARER0imJhpD5f/bOOyyqowvj792lNyliQymKHTvGklgxJprEXqJfNBqNiZpiotGoicEW00yMvSWaiL3HRGMFFLtYUVGRpoKC0jvsvt8fNxbcBZa6sM7veeYB7pw5c+7s5e65586cyU7H1ZireMQQdO0q5zvKa9LV6NESVKm2uBnQEEfCjjw53um/GMTRo8CwZsNQ06Ym5h6bW8wzKRl2Be8CAPSq1xfbtslBEXMLNcLO1EetFtdhaqLEzp1A1aqAyikAD9Meom+DvqViiyRJWNJzCQBg2K7/4YOxKgQEAOcL6S79uTsCSfcd0LVfOBo5NioFS7XTrRsQc8cGRonuGksTezV+FRZND+DovipISyua/thYYNNGBdBsHRb0+ebJ8dRUwMsLmD9fnkHo5ydvfjBqlJy3rHVrICqqGCcmEFQwRHBLUO5Z+/c1VPc8jdpONhjYtR56tqsNY/v76DvBH1nZBSxgh7yTXae3L+De6XbYfOhGnnJGSgUW/Eqok6qj30flO/fWxgPBSL/TEG8OjtGom70sGIACk96vpVG37g8jKG3v4ct3W5aBlU+xsTTFif3VobSMx7tvV8Lpq8X7pvW7EImfptaDhcs1HFhdvnYFHDUaUCdXxezfNLfGGd6jERybn8XBP5vj1p24Yvd1NzYJk8ZVhrFjOA796VlsfQKBQCAQGCobNsi72/UqIFVRjjoH3wV8B6efneCxzAN1F9VFkP0shIQAV69qb+PlBTi7EMaXxmLJ2SVPjtepA1SvLge3TJQm+KL9FzgWeQzHIo6V4JkVjR3BO1DfoT7ibjREdLS8VHPzwZtQp1TB6z1VyMgA9u4FevcGdt3YATMjM7zu/nqp2eNm54YVb65AQGQAot3nwMoKWLBA9/ZqqjHlhxDALBFrvuxdanZqo1s3+WeD5PHYdn1brtl7SoUSQ4enISfNCj+tyH+Tq7yY+3MsVNnGGPzeAzSuIm8UpVIB/fsDp04BmzYBv/8uB1M7dgSWLgUOHgTu3AFefVVe5ikQvBCQLPelVatWFLx4ZOeo2GWkL6HIpmQZw7Zv+/Lzn09w+FdHadcokABp7X6JIXfjCtQVHp1AySye1VqdKlC2dqdjhDKDh8+Fl8RplApN3vQjjNIZei9eo86qzmWa1QzWOH4tLJZQZLPt275lYKF2Nh0MJkwTaOwYykshD4qk415sEk1r3KRkHlcuP6P0zGwqbKJZtaX2a22H301CymGLPn7F7qtet6OElMMVOy8XW5dAoG8AnGM58DlEET6YwPDIzCTt7Mj//S9/uZTMFL654U3CG3xj/RvccHkDF51exJozWxOSioM/Csqz7axZJEBKn9ZhZELkk+ODB5NOTqRaTaZmpdLxB0e+7vN6SZ1akXiU9ohGs4z45cEv+e67pKUlmZxMeo08SkDFK6H3+fff8vn884+atX6uxV4be5WJbaN3jya8wV7DwmlsTN65o1u7uX+vJRRZ9BpS9j6RWk1Wr06+9Nptwhs8d+9crvqHqY8oVblKB/fbhdadmUma2j6ksu4hPkh56jv/8IP8+SxfnndbX1/SxITs2ZNUqQrdteAFwlB8ML0boEsRjtWLR2ZWDt27HiVAunQIYMT9hFz1KpWaY78NIJQZNK91TacAl9coXwLkH3uv5isXeCOaMElmNc+CA2H64FFiGiWzeLp0CNCoO3bpDgHytQ98NeoGT/YjQG7zvVEGVubN0m2XCOMUGlcJpf+FyIIbPENsQqoc2JRy+P2fgaVkYfFp+7YvIeUw8Ea01vr6r/oTykzuPVl4J+cxUxefIkC9BisFgpLEUBwrQyvCBxMYArt3kwC5d2/eMjmqHPba2IuKmQouObMkV11cWhytal+h5HSOZ++d1do+MpJUKNREx9n86vBXT44vXSr3ffu/r/x5x+ZpDYDowuXL5Jdfkq+/Tr7yCjlkCLl6NRmv+a4zX/64+AfhDe6/dJ6mpuS4cfJxa7drtHC7RJIcNYq0tiaPh54jvMG1F9YW2t6ikJaVxiZLm9BmclMaGan50UcFtzkfdZ5GHX8gpBzevq0ufSO18M47ZOXKKiq+MeLUQ1M16juN3UqA3HEgqlB6v/jxCgFy5I9bnxy7dk0OWvXrJwfW8mPxYvn6mz+/UN0KXjAMxQfTuwG6FOFYvVioVGq6dz1GgOwy0jdf2dm/nSWM0mnXKJCZWTn5yt6JSaRk8YiOzc4UaMPrH/oSIL/49WRhTC8Txs0LIED+5HNeo67HWNnuY5c0X3PZ1L1I0+o3y8LEAlm67RIl8zgqrO9z0ZaLOrUJvRf/34w9FT+Yc6yULSweB06HESC7j/HVWn8p5AEl8zhau18q8LrNU79pAi2crzIxJaOY1goE5QNDcawMrQgfTGAIDBpEVq5MZmXlLTP10FTCG1x0epHW+mneyfJL15ntmZaVplWmZ0/SzC6WVb6rwcycTJJkUBAJkGvWyDKJGYm0+86uULO3YmPlWWcAqVSSLVqQnTrJM8IAOQg1YwaZnq6bvt4be7PmzzU5d66agBwsuRmeSIDsOOIAc3JIR0fy7bfJaYemUTlTyUdpj3S2t7jcjrvNaj9Vo0UbH5qYqnj3bt6ykQmRdJrjQck8gW/01nEASoG1a+XPou2cMXRf6E71c1Gna3fuEOaPWOsl3YOaCakpNKocRlOna0zNfHpub7xBVqpExsQUrEOtJnv1Is3NnwZYBYLnMRQfTO8G6FKEY/Vi0W20LwGyw/AjOsmPmCHP8Or0rm+Bso+DVgUt40pNz6J5rWuUrGJ4M7Lsvsx1wa5RII0cIpidozm/2LzWNVrV1jy3E1fuEpDHtryw+9gtGjuGEVIO2w3x5b3YpDxlV+y8TCOHcEKZWe4DW4+xbXCeRpXDtX5OJPn+bDmA2+dTv0LpDY9OoGn1m5QsHjFASxBTIKioGIpjZWhF+GCCik5SEmlmRo4fn7eMX5gfJW+Jo3ePzlPm6lUSIPHGB5x+eLpWmR07/pMZ2pMbLm8gKS8Hc3AgR4x4KvfT8Z8Ib/Dg7YMF2n/+PFmrFmlqSk6bJge6HqNWk2fOkAMHyv3Wq0f6FeBWpGSm0GyOGd/fPIUODmT37vLx8XPPEiBX/R1If39Z3+bNZKMljdj1j64F2lnSXL5/mQ5TPQllJr36aPd3gh4E0fkXZ5p0XEBJUvPSpTI28hnu3JHHbMCE44Q3eOm+pjHt3znw3yoKzfQh2vCasJ4A+e2qK0+OHT4s9/PDD7rbFhlJWlmRPXro3kbwYmEoPpjeDdClCMfqxeGbFWcIkK4dj1Gl0m1asUqlZu3Oxwio+PuevHMhkGT0o2RKljG09yj4rcnWIzcIRRad2pzQ2ZbS5t9ToQTIru/5atTtPXmbANl3gqZX83hGl+/5iDKwUnfuxSaxThc5yCNZxbD1QF8u3HyRZ65F8cDpME746TirtZKX3ykqRVWo3FJjv5Vn2M1frznDjpSv26otTxHKTC7crNvstfjkdFaqf4FQZvKHcrwsUyAoCobiWBlaET6YoKLzxx8kQB4/rr0+NSuVrgtc6b7QncmZyXnqUavJOnXIGi0u0XiWMcPiwzRksrLIKlXUtGyyny//9vKT4wMGkDVrPl1ClpGdQdcFrmy6rCmzVdl59nnqlDxDx9mZPFeA63rwIOnmJp/r+PFkSop2uU1XNhHeYJ9hd6lQyEsdSdLt5bOUrKOYmZ3FCRPkYFpQZAThDf5y8pf8Oy8lbsfdZuXXVsgzyr75ivtD9vNO4h0GRgXyiwNf0GS2Ce2ntKaJqYrDh+vFxFzUr0927Z5BxUwFvz7ytUZ9yJ14SqZJrNT0KLNy8plGSNLnzB7CMppV64flWnr48stysFPXWXqP+fFH+do4dKhw7QQvBobig+ndAF2KcKxeDK7cjqFkGUszp2DGJxfujn0nJpEKmyia1Qxmanr+XxZvfuRLgDoth+s5TpZ9e7J/oewpLTze8COUGbxyW3MecpeRvgRUWvM8mde6Tku3KxrHywu/7wli1RanCUWW/MbzmSJZxrLLSF9GP8rb4SyP5Jcb7THh0Qk0rhJKyTKWewJC8tV3JybxyUYKH32Xh4cuEFRgDMWxMrQifDBBRee110hX17xzE3n7ehPeoG+Yb4G6Pv+cNDFR0+QrB47YNUKrzBdfkAqliphYlRejZV9z5Uo+Wf73mO3XthPe4M8nftaq5+pV0tZWDqhF6PhuMiWF/PRTua+6dbUH9N5Y/wbth42lJD3NZ5WZqaZklkiXLgepVsvj9cYb5LKzywhvMDhWt5lGpcGjxHTaVoujZBtBfFGZ8AbhDSpmKjho4zts4ZnFSpXk2Un6Zvx40sKC7Li6GxsubqhV5p2JlwiQQ+atzVPP+ajzNGm/lJBUPH4y88nxo0flz3aR9pWz+ZKeLgdY27QpOE+X4MXDUHwwvRugSxGOleGjUqlZpcVpwiid24uY8PyLX08SIHt97JuvXGxCKhXW92nbQPuMmmfJzlHRsdkZwiidq//Sb3Ao9F48YZzCul5HNepUKjVNqoZoPac9ASF5zugqbwRHPOTs385yyJf+/GDOMS7fcblIOanKC/ntavmYf0+FUrKKoWQexwUbL2iV2XwomGY15JmEFWVZpkBQWAzFsTK0InwwQUXm/n1SoZCX82kjIiGC5nPMOXDLQJ30PV6u98b0NVTMVPDGQ02fNThYljHqPp1j/hpDkgwLk48tWPBUTq1Ws4dPD1p9a8XQuNBcOh48kGdrVasmty0sR47I7QFy6FDy9Gl5eWRYzANK3SdRaZzNDh2ezv5ZszOMADn2xwO8cEFut3o12WtjL7otcNPIH1XWnDlDmpmp2bB5PL/bt5abrmzi7QdRHDRItnXr1oJ1lAU7d8r2TFguBy6vxmhuYpWZSdrUiCYqhfHHg79p1J++e5qVRr1NgHz3/dwvdnv0IKtUIdO0p3wrkFWrZPt27Spae4HhYig+mN4N0KUIx8rwGfqlv5x/aIJvkXWoVGpWbnqGknkcw6MT8pXt95lfvkvGniU44iGNHMKpsL7PU0H3imxfcXmcL2zzIc23Zxv2X5cdmKmaM8w6DPMlpBxeuHm/DKwUPMumg8Fy/oVJfvnK+Z6PoHGV0P+W5AZw9m9nuffkbX7/ZyDrdTtKKLIoWcXw2zWF31lJIKgoGIpjZWhF+GCCiszChSQgz4LSxqCtg2g2x4zh8eE66cvOJu3tyQFD0mg625Qf7vlQq1yHDqR19fs0n2PB+HT5BVe9enLC+WcJjw+n9bfW7LimI1Vq1ZM+unSR84Sd1b4xo04kJpJTp8qJxAF5dz1JoZLz1L6ayLhnNhrvPPQsocjk1TuRnDFDDgjeicqg5VxLjvt7XNGNKEG2bZPPxd5e3iXwcfCuMLmnSpv4eHnsPpuSRMlb4ky/mVrlTpzMpqTMItz3csjmETweeZyBUYGccnAKjca3pMIijg0ap+cKYt24IZ/vrFlFty87W74OPTzInIr77lhQChiKD1a2nQEDAVwFoAbgqWs74VgZNv+eCiWMU+ngcTbP5Nu6svmQHExoN8Q3X7n45HQqbKJoU/eiTvm0dvnfIkwTaVr9pl4SzMcmpFKyyjtXWKv+voQykyF343IdV6nUNHYMo10jkZ9JX1g4X6WZU3CB19mdmES2G+JLGKXlXpppksyGr/uXu40NBIKSxlAcq/JahA8meBFp04Zs3lx73dHwo4Q3+I3vN4XSOXy4HGAZse19ms8x17qL4OM8XxjRkQtOytO1Pv5YDs4kP5dlYc2FNYQ3OMtPjlpMmSK3/f33QpmVJwkJ8k5+kyap6dhzCet9PkZDxrJGOC0byGsYmzcnX3mFPHj7IOEN7rmxp2QMKQGCguTk+bVry4HCvXv1bZEmL71EtmtHvvL7K2yytEmeckuXZ8vXiPMx4oPmxFQrSn1G0tgihTWcchjyXLaKTz8ljY3l2YjFYfNm+fpav754egSGhaH4YGXtWDUEUB+An3CsBKQcfLFtcJ4wi+e54Cid2vj4+NDFxYWSJNHFxYU+Pj5PjgEgoCAAVqtRkz4+PnnqGTxZnr01aMzsXPrGjh1LBweH/3SBDg4O9PHx4U/rAwmjdBo7fM8aTjVz9V9cxo4dS6VSSQBUKBS0tLR8ot/Ly4uSpHhS5+XllcveMR98SEhOBHLb4+PjQ4cq1QngSXtt9j4/nmPHjqWlpeWT8wdAS0vLfM9T22eSn/78ZLWNfX76Czu+kiTRysqqQHsKsvvZvy0tLalQKHKNWe6/pVx1z5/f8/1ZWFWi0tiswHF41gYHBwc6ODiU6HUpEJQlhuJYlddSnnyw4t7TyxPPfr8olUqOHTu22DqLMj6GNKYlRUgI85zZo1ar2f639nSa78TUrNQnx3UZx127ZL3LNoYS3uC8Y/M0ZFJTSRsbsnLbf1hvUT2q1er/ljT6sHLl3PrVajXf2fEOJW+J0xefI0CO0Yw/FZtjEccIb3B14Opcx4OCUwl45fJP6tTx4uf/fk6T2SZMycwjM/0zNGrUKFf7Ro0a5Stva2ubS97W1rZY51ZUtPlmxeXxzLfZ++R8ZdqWrj5m40bSwkKd66Wmp6dm/rDkZPl6+t//8u7Xx8cnl/+uUCg07kc+Pj50dnYhINHYuOBnAl3rC3P/KYl7lbjflTyG4oPpy8HSu2MlKB+MmR3w33I6P53kfXx8aGFhketLyNjYmCYmJlq/oCwsLPK84SWmZFCyWEhIZlrbPt+Hj48P+4ycScBC5z50YezYsQX2X5hiYWHBsWPHaoyTNnu1jWdeRaFQaD1PbToe96GL/mdljY2NNeqNjIw0jhdmzAs7vgWNX0kXY2NjnfrTNg66jKtAUFEwFMeqvBd9+2D5fWdUNPL6filOgKso42NIY1qSzJpFShJ5545m3b5b+whvcNnZZU+O6TqOGRnyDoYjRpBef3jRab6T1p3vxo4ljU2ziSmVeCDkANet86EkadefmpXK+l/3J0yS2KBpcqF3wtOFoduHstK8ShrBqhqubbVex+b1zfnqn68WqPf5wNbjkleA6/nA1uNS1gGu/Hyo4nDmDAmQv6yIJbzBb49+m698XBy5fLm8m+G+fdqTvS9dKus8eVK7Dh8fH42XrM/fj7Rd36am+T8TFPTMkJfPnNf9pyTuVeJ+VzoYig/2QjpWgvLBrTtxlCxjaVXnks7LEZ/OztK9uLi45KnP0qZqofTk1X9+fRTE4ze+JVkK0vnY3sKOp7bzzG9MdNVfGNnCjnlRxrc0PhN99Ofi4sLsHBXX7bvG92cf45Av/fnNijO8eOtBka9XgaC0gIE4VuW9QM8+WGl8j+qLvO7dSqWyyDqLMj6GNKYlhVpN1q9PduqkrU5Nz5WedF3gysycpzvRFWYc331XDnDtvLKX8AY3XN6gIXPuHAmQVn0ns+f6nvnqf/iQdHHLptLmAW2mNuKl+5dKbjAoJ843mmXECfsmaNTl50fktZOjru1LQr60KC07VCp5I4BBg8g2q9qw5YqWxdKnVpONGpGtWuW9y2GNmjXy9THJgq/votbndR8s7DODroj7XelgKD5YaThNhwAEaSm9n5Ep0LECMAbAOQDnnJ2di/IZCco5jxNlbyvE7oiSpH15V35FkqQS0SdJUp7y+fVREIU9n5Ioj+0t7HhqO8/8xkRX/YWRLeyY62N8y0+RqLB6QIDPFRXtGgVy5sqzOuWcEwjKAhiIY6XPggrgg5XG96i+yO/+W1SKMj6GNKYlRWCg/H23cqVm3a7ruwhv8LfzuXeqK8w47t0r69+5S8X6i+rzpVUvacio1XL+qup1owhv5Kvfy0tO+L7jQBRrzK/Baj9VK9EA18d7P6bxLGNGJuRe7/bggTrf6zg4VnMTo+cp7P9BafzfFIXStGPUKHkZ4Ty/+YQ3eDvudpF1HT4sX2tr1mjWXYu5xlf/fLVAf5As+Pouan1epbDPDLoi7nelg6H4YAqUMCS7kfTQUnYXUs9Kkp4kPR0dHUvaTIGeWbLtMm4e6oDW/QPQv3M9nds5OzsXuq/KVaqXiD5nZ+c85Y1MqyAuKb3QtgGAUqksUrvi6Hx8HoUdT23yeenIb7yKI1tQv89TlPEtjc9EP/05w752BMZ+exz/ngrDmetRWLLtEjqN8EdStCO+GeMJxyYXEHD5bin1LxAIypKK4IPl951R0cjr3l2ce3pRxseQxrSk8PEBTEyA/v1zH1dTjRl+M+Bu747hzYbnqivMOHbrBtjbA1u3KDC+9XicuXcGgVGBuWQkCRg9Goi+VR0mD9rBorKFVv0mJs44fBhYuRLo+2p1HBp2CEpJiQ5rOsA3zLcQZ62dqOQorD6/Gu80fQe1KtXKVbdoXUS+bes56O6jC57SuzeQlARUjx0KANh2bVuRdS1aBDg4AIMH5z6+9epWtFzZEmejzsK2qm2e7R/fj/K6vs3N838mKOiZIa/7XWGfGXRF3O8E+aKPiBrEssQXmuS0TJpWu0WlXSQfxBWcpPJZCptzCzCnQ70ZhdKnrTzOuaVNXqE0JeBDsxo3uOlgwW+4nqc0cm6Nfn8MAfM860XOrfztMYScW4A53/0k7zwPyWmZ7P+5L2GaSJgmcsJPJwp97QoEJQkM5K1heS/69sEMKV+KyLlVPsnOJqtWJfv21azbErSF8AZ9LhU/H9D775OWlmTUowRazLXgqN2jNGTi4kgLC7J+t+NUDlDS3Px538yCCoUP163L3S4yIZKNlzSm8Sxj/nnxzyKNw2NG7BpBk9kmDHkUolHn/tINQtFe63Xs1MxJJ/0i55Ym6emktTU5ejTZemVreiz1oDqvNYX5EB4uJ6f/8svcx9deWEt4g+1/a8/7yffzzbll1s6MF6IvaL2+jYwsCPgwJETk3HrRMRQfrKwdqr4A7gLIBPAAwH5d2onglmHx2hhfAuTXy08VqX1BuyU+Xvvt4uLCOm2nE1BxT4DmF/qz+irZVyMg0dy6ap67JebX/+zfzsrLvxTZbPu2Lx8lphXqnJ7fLdHc3IKARElZnV26eOXaienZ3RIBZ9q79Naw5+vlpwk8Pq/cYyJ2Syz73RLzmkKd126JDg4OuT4DXXdLNDK1ISBRYVyNC5et0mlsjl6MpHWdSwTIjsP8xDJFgd4wFMeqvJby5IMZ0k5XYrfE8se+fSRA7tiR+3iOKocNFzdkoyWNmKPK0dq2MON46JDcz5Yt5Pt/vU/zOeaMT4/XkBs3jjQ2URETq7HPtD5P9NvZubBfPx/euqVdf1xaHDuv7Ux4g+P/GZ8rP5iunLl7hpK3xEn7J2nUxceTkjKLTq9voJdX7t0S4QbuubFH537EbomaDB1KOjiQS06uJLzBU3cK/9wzebIc3IqIeHrsn5v/UDlTyW5/dmN69tOdB7Ttljh45GA6/+JM++/teTH6otHTtpsAACAASURBVMb1vWiRD42NyU8+eaojv+tf7JZouBiKD6Z3A3QpIrhlOPidjySM0ljjpeNl0t+1sFjCJJkuHQIKlK3c9AxhlsDgiIdF6ivkbhzreh0lQBo7hnLO72eLpCfifgJNq98kzBL476nQPOV6fexLgFpzlrm8EkDJ4hGT0wrvCAlKj49/OE6AnLwwj+1uisHQqf4ESLdOx5iarrlrU34kpWbQ3Utu79HzqM4bPAgEJYmhOFaGVoQPJqhoDB1K2tnJuxo+y7pL6whvcEvQlhLpJydHThz+5pvk+ajzhDe44OQCDblbt+RdG+v13Uz77+2ZnJmscx9ZOVmcuH8i4Q22Xd22ULmbUjJTWG9RPTrNd9IadPt5eQwB8qMV658kv//jD/Lzfz+nyWwTjV0VBYVj5055THfsSaHFXAuO3j26UO3T0kh7e7Jfv6fHbj68SZt5NmyxvAWTMpJ00nM77jZr/VyL1X+qzjuJmluHDh8uz0CM17xEBC8QhuKDlXjOLYEgL9RqYsCIB4AyG7vWupZJnw1dK+OlPucQcawd9p4MzVf2tyV2QJYlBowLKlJfdZzscPNQB/zw53kAEr56zxOVm57DTv9bOuu4fS8eTTqEI/OBK35YeRuvtXHTKqdWE/9uqQWr2lc0cpbFxKci4nRz1O8QBCtzkyKdi6B0+GlCGxg7hmPhD3bIUalLTO/0Zaex4buX4dj8LK4daAsLM+NCtbe2MMWNAx3gOdAXQXs7wKPHcWTnlJx9AoFAIBCUBcnJwM6dcn4iU9Onx3PUOZjpPxNNqzZF/0b981ZQCJRK4L33gL17AUdVC7RxaoPlgcshPyc+xd1dzsH0wK8v4hLTsezsMp37MFYa46fuP2HrwK24FnsNTZc1xbKzyzT6eB6VWoXRe0bj1qNbWNd3HWzNNHMyrd2YCFjfw0d9W+PwYfnYq68C+0L2oZNLJ1iaWOpsp0CT118HKlUCdmy2xBCPIdgQtAHx6fE6t9+wAYiLAz7+WP47IycD/bf0h7HCGDsH74S1qbVOemrb1cbe/+1FSlYK3tzwJlKyUnLVf/YZkJoq53wTCCo6IrglKDMm/nwKDy97os/YQLRuWKPM+l37vQdgnI7xX0bnK9frFXc06XkcQftexu6jIUXu74thLREXUQO9P/FD3C139OtSG64dj2PzoRv5tvvjn2to1DIeSaENMOGHs/hiWMs8ZZfvvIKsB3Uw4J0Ejbo5qy8B2Zb4YIRNkc9BUDqYGCvxwcQoZNytj09+OFkiOlfuuoJvP20CS5dgBB1pBDMToyLpUSgknN7UGa+844sbBzugQbdTyMpWlYiNAoFAIBCUBTt2AOnpwLBhuY//eelPhMSFYFbnWVBIJff4M3o0oFYDv/8OjGs9DsEPg+EX7qch9/nnQGK8MRpGfYcfT/yI1KzUQvUzoNEABI0NQvta7TFu7zh0+aMLzkef1yqbnp2OUX+NwqagTZjnNQ9d3LpoyCQlAUEna8KuhR/qO9bF4cNAo0ZApnk4rj+8jh7uPQpln0ATMzNgyBBg+3ZgRINPkZadhlXnV+nUlgQWLgQ8PIBOneRjUw5OwZWYK/iz759wsXUplC0eVTywZeAWXIm5giHbh0ClfurfNW8OdO0q95edXSi1AkH5Q99Tx3QpYkp8xefWnTgqrGJo4RLEjKzsMu+/9UBfQsrh3pP5T+cOjnhIyTyOlepfKJGlWTcjH9FzgC9hkkyAtHC+ym6jffnLxgs8cDqMO/xu8rP5J+jU9gQBUmF9n4u2XCxQb+3OxwjTRK0J+au1OkVFpShmZmnPJyHQL9k5KprXukYj+0gmpmQU3CAf9p68TcniIY0dwxgUGlNCFpJd3ztCgKzbNYA5OSIHl6BsgIFMiTe0InwwQUXCy4usU4d8Nnd3enY6a/1ci61Xti5SUu+C6N6drFGDTExNp/339hywZYCGjFpNtm5N1nRLI2YoOP/E/CL1pVarueLcCjp870B4g6+te41/XPyDVx5c4dWYq/zt/G9suLgh4Q16+3rnqWfB0iQC5LBflzAzkzQ3Jz/+mFx6ZinhDQbHFn6DJIEmp0+TALlyJen1hxed5jvplDvt77/ldr//Lv+99+Zewhv8ZO8nxbJn8enFhDc4/fB0rf2tX18s9YIKjKH4YHo3QJciHKuKj3uXY4Qii5sOXddL/0GhMYRxCt06HStQ9t2v5bxZ7359tMT6D7kbx74T/GjufI3y+5jcRbKMYdu3j/BebMHr50PvxRNGaWzUw19rP1BmslU/3xKzXVDyfP9nIAGyy0jfIuu4FPKARvaRlCxjePhceMkZ9x8dhh8mQDZ7y18kmReUCYbiWBlaET6YoKIQGir7VN7euY/PPzGf8AYPhx4ulX4fJ7Bfu5acuH8ijWYZMSopSkNu2zZZrvGHc1n1x6pMzUotcp/x6fGc4z+HTvOdCG/kKg0XN+S/t/7Nt717i3uEQzAvRF2kv79s186d5Fsb3qLbArdSCQK+iKjVpIcH2bw5+c8NOUC14tyKAtu0a0c6O5NZWeT95Pus8mMVNlnaJFcC+aIyavcowhvcdX3Xk2MqFdmgAdmyZe7AsODFwVB8ML0boEsRjlXFZt5a+UG+3ZAjerXDc4AvIeXkm6SdJFUqNSvVv0DJLJ5XbpfcbJjHBEc85LdrzvH92cf4yY/HuWr3FaZn6j6bbcAkPwKkz7/XNOqGfyUH5v7Ye7UkTRaUAs4vHyeUGfnu5JkXd2ISaV7rGmGSXGqftUqlZot+8gyu9kP8SqUPgeBZDMWxMrQifDBBRWH6dHlnucjIp8cS0hPo8L0DX/3z1VLrV60mmzQhGzcmg2NuEt7gLL9ZGnIqFdm0KelcO7VYs7dy6VSreCH6Ajdd2cT1l9czMCqwwMBUSAgJkI5v/UK1Ws1vvpHH7X5sBi3nWnLc3+OKbZfgKb/9Jo/3wYNqtlvdjk7znZiWlfeu6v/+K8svXizv8On1hxfN5pjxyoMrJWJPenY6PVd60maeDW88fLop1YoVcr9+wuV7ITEUH0zvBuhShGNVcbn/KIVG9pE0rnKbcUl538jLAnn2Vipr6zB7658TtwllBl1eKXiXxbJEpVLTzCmY5s6agS2StGsUSGPHUDHTpgJw5XYMJfM4WrpdKdTyxPjkdNo3Pkcosjlz1ZlStFC+3hq8JgdTXxujOVNQIChJDMWxMrQifDBBRSAri6xeXd658Fm+PvI14Q2eu3euVPtfv54EyI0bye7rutNpvhOzVZovLrdvl+U8PviO9t/bMy4trlTt0sYnk+MJqDhp668kyVdeIT09yYO3DxLe4J4be8rcJkMmI4OsWpV87TXSN8yX8AbnHp2rVTYnRw6U1q4tt5t+eDrhDf5+/vcStSk8PpwO3zuw8ZLGT3bvTEsjHRzIXr1KtCtBBcFQfDCRUF5QqnQfEYicuFqYvzgJdtbmerWlsZsjWvU6g9Cj7XDwTHi+sj3b1UbnYScREfAyZq0+WzYG6sDS7ZeRca8++r0Tq1F3/uZ9xF9rjnY9IqBQSHqwTlAYPGo74rO5wUgN80D7Qad1apOUmol6HS4j7morjP7mFGaMbl2qNioUEi7//QpcOx7D/pUdMXDSsVLtTyAQCASCovDPP0B0NPD++0+PRSdH4+eTP2NQ40FoVaNVqfY/eDDQrBkwbRowuul43Eu+h79v/q0h16ePLJd86FPEpSTh22Pflqpdz6NWA+vWAah9GOO83kJqKnDqFODlBey7tQ8mShN0cdVMQC8oOqam8oYC+/cD6tDO6N+wP2b5z8KNh5obTa1eDVy5AsybBxyK+Adzj83FqBajMLLFyBK1ycXWBZsGbML1h9cx+q/RIAlzc2DcOGDPHuDmzRLtTiAoM0RwS1BqzFp9Dpf3dESz3r74eGBzfZsDAFj7Q2PAKBMfTrlboOzuxe1gWi0EMyfWwo3IR2VgXcF8+2M6JItHWDDZU6Nu9tIbABSY8qFz2RsmKBLzP2uHlwb54erejug+xi9f2bCoBLi0vorYiy/hf9OOYtWMV8rERmMjJa4daItqrU9i2/wOeO+b42XSr0AgEAgEurJqFVCjBtCz59Njkw9NRrY6G3O7zi31/pVK4IcfgLAw4PruN1DTpiaWnVumIadQAN98A0TcNsMricuw8MxChMWHlbp9jzl2DIiPtoV71+Nws3PDsWNATo4c3NobshedXDrB0sSyzOx5UfjkE8DVFZgwAVjQfTEsjC0wZPsQpGSlPJEJDwcmTZJ3LnRtfxZDdwxF82rNsajHolKxqVvtbpjbdS42X92MBacWAADGjweMjYEFC0qlS4Gg1BHBLUGpEBQai5mfucDM6QZ817XVtzlP8KjtiFZvnUHo0bY4fC4iX1kbS1P86aOCOtUOnfuFQK1mGVmpnYNnwhF99iW83O8KKley0Kz/ywHmtYLRs11tPVgnKCr+616BW6cAHFzVGc16+yMmXnN78F83XUT95glIuOmBD+YEwGduxzK10dzUGMG+LWDf5CzWzG6Hz346Vab9CwQCgUCQF5GRwL59wKhRgJGRfCwgMgA+l30wqd0kuNu7l4kd3bvLM7jmzFbiLZuvcOD2Adx6dEtDrk8foHVr4NbWkVBk2WDakWllYh8A/LgoHjBJwthh1QAAR44AJiZAzcYRCH4YjB7uPcrMlhcJMzPg55/lWVkL5lTDur7rcOnBJQzYMgBJmUlITQXefhuQJGDEN0fx+vrXYG9uj7/e/gvmxqW38mXKy1PQt0FffHHwC/iH+6NqVeCdd4C1a4FH5eO9vkBQKERwS1DiqNVE134RUGdYYcN6Se/LEZ/n9x8aAcosfDD5ToGyg7zqo/f4k7gf2AbvTNfvkqwJ3pGAMhtLvBtp1O0/HYbUMA907XVfD5YJioOZiRFuHm6P5r39cfmvTqhRJx4dhvnhs/kn8PYUfzg0CcSEIc1BtQJLNgdj+fSymbH1PJUszRB8tBFs6l7CgimtMGP5Ob3YIRAIBALBs6xYIf987z35p0qtwsf7PkZNm5qY1qHsAkcAsGQJ4OAA7J0zCsq06lgRuEJDRpKAhQuBB9FKtLq9DZuCNsEv3K/UbYuOBvbttobUcg3eadUPAODvD7RpA/jd2wsA6Fm3Z34qBMWgb195ZtT8+cC13W9gxRsrcTD0IJrO90KLLhE4c1aN5mN/xru+nVHDugaODD+CWpVqlapNkiRhbZ+1cLd3x6Btg3Av6R4++wxITweWLy/VrgWC0kHfSb90KSKZacWi7wR/AuSASb76NiVPWvb1JRTZPHQ2vEDZ7BwVHZqcJYxTi7SzXUlw5loUocxgw9e1J/XuMMyXkHIYeCO6bA0TlCiLtlykTd2LhJRDQE46a+QQwa7v+TI2oehbhpckkQ8SaOF6hVBm8Kd1F/VtjsCAgIEkMzW0InwwQXkmJYW0syP79n16bMmZJYQ3uDlos15sOnWKNDcnbd1u03Z6wzx3xhs2jDQ1VbPmVx1Zb1E9pmenl6pd07/OJiQVuy34kKScQNzIiPzyS/KtDW/RbYFbgTstCopHZibZr5/s37VoQXZ9M4ZKy3hCmUH0GU6beTactH8SUzJTytSuqzFXaTnXkm1Xt2VmTia7dyerVZOT2gteDAzFBxMztwQlyo9/XsTOhe1RtdUpbP6+k77NyZM1PzYClJkY+cm9AmWNlAoc2l4Lkkka+g8AIh8kloGFuRk1+SZABVZ9r7nkUK0mTu6tDfvGF9GyXrUyt01Qcnw0sBkSbzZDeFQKtvneRMClu8iMqYXDv3XWuhRVH9SqUgkXj1WHadVwTHrPHSt2XNW3SQKBQCB4QVm7FoiPByZOlP8OjQ/FlENT4OXmhYGNBurFpjZtgO3bgYwHLkhYeACTl/pplfvuO8DISEKtU1tx89HNUk0un5oKLFqcA7jvxRdv9gUAnDsn59tq3SYbh8MOo4d7D0iS2JCoNDExAbZtk2dFWVgAIZcd0beHLf49+hDBq6YhemI0fuz+Y5nnPWvk2Ahreq/Bqbun8Nm/n2HiROD+fcDHp0zNEAiKjQhuCUqMg2ciMOUDV5hWC0Xgv43K9Y59TetUQcchZ3HnZHus/iuoQPnmdavip5V3kBXjDM/XbyIrW1UGVsqcDLqHK/vaor7XSbzctKZG/fKdV5DzyBn9B6eXmU2C0sWlWiX071wPLzetWS7/j+rWdMDpo5VgbPcAHw6thY37xbY6AoFAIChbVCrgl1/kYFL79vJyxBG7RkAhKfB779/1Gqjp0QM4EaCAmVUWFk/ogQEDiXvPvU+tUQP46ivg5KEq6JiyEN8FfIerMaXzwmjVKiAp3gw1ev6JbrW7AQBOnpTrVDWOIy07DT3qinxbZYEkAR98AAQEABERwNatwGvtnVC/cn1YGOvvRebAxgMxqd0kLD23FNFV/kSrVsDcuUB2tt5MEggKjQhuCUqE8OhEvPmWGlBm48BeMzhVttG3SQWy+RdPKKxi8PlEtU7J4j8f2gJDJp9E7MXWeHlo2eXfGjo+HJDUWPNzHa31i1YlAMapmDWufOxIKXgxaFanGvwPm0BpkYj/9XXE0m0FB4kFAoFAICgp/voLuH1bnrUlScAvp37BschjWPj6QjhX0v/O0S1aSFj9TyDQdTr27FGjYcOn+cEeM3GinFz+yu/jYZVZD8N2DkNmTmaJ2pGRAcz9LhNw9cXkt1+GQpIf/06cAOrWBQIe7YSp0hRdXLuUaL+Cise8bvPQxbULPvznA/QfewVhYcC6dfq2SiDQHRHcEhSb+OQMtOgahqxHTvh1zV10bKZ/h0IXqtlbYcgnwUgOaYqpS07r1GbDvI7weMMf57Z1xnvepR/gWvP3VYQffRntB51GOw8njfqk1Ezc8G8K13YXUc3eqtTtEQiepZ1HTRw6ooKRTRzGv10XE344o2+TBAKBQPACQMqJuV1d5UTd56LOYfqR6ejToA+GNxuub/OeMLhZX7j22gAP7yFo0wb48ENgw4an9cbGcvAgI10BV/8juBB9AZMPTi5RGxYuBB4+MIV1918wuuVoAPL4nTgBtG9P7LqxC93rdC/zpXCC8oeRwghbBm6Bm60b5j5oj4bNUjBnjpi9Jag4iOCWoFgkp2WhfocgJAQ3xYezT+PjgS30bVKhWP1Ne5hUu41fZldFWoZud+7T29rDrtF5rJndDhN/OVlqtmVlq/DxJ4RkFYutv7bSKjPntwtghi1GjzAtNTsEgvzo3NwV1wJtYVPnKn6d8hJeHxMAlargmZACgUAgEBSVw4eB48flmU/30+6i18ZeqGFdAyvfXFmu8kYZKYzwWdvPcD5zK2asOIUOHYDRo+UZZ4+pXx/48UfgQkAVdHqwHQvPLMTu4N0l0v+jR8DsuSqg7t/47O0WTwJYoaFAbCzg1OgOIhMj0bdB3xLpT1DxqWxRGQeHHUQVS0fcaTFKzN4SVChEcEtQZGLi0+DWJgixlzzxzvRjWDa1g75NKjRmJkaYOjMO2bFueGfqCZ3aWJgZ49qxerCufQ0/T/LE9GW6zfoqLP0/P4bUMA98NOMWalS21irj4wMorB9g4v/EkkSB/nB3ckBEYEM4v3IU+1e9AqfW53ErMkHfZgkEAoHAACGBadMAFxdg6Lup6L2pN5KzkrFnyB44Wjrq2zwN3mvxHuzM7DD/zHfYtAlQq+Vg1rOMGwe89RYQsKov3OPGY+Tukbj16Fax+/7iCyA1BbB581t81u6zJ8dP/OfyPrT/CwpJgTfrvVnsvgSGg5ONEw4PPwwbj+NQ1jyP6d9kICND31YJBAUjgluCInE5JBa1W4Xh0dVmeG/mUaybU353RiyIGaM94dDkHHYua46g0Fid2lSzt0JQgAssXW7g24+bY+aqsyVq09/Hb+PvFS+hWqvTWDCxnVaZq2GxiD7fEi1evQ4zE6MS7V8gKCy2VuYI9X8FfT8/jAeXPdCwaQaWbBE7KQoEAoGgZNm5Ezh7FvhqRg5G/D0EF+9fxKb+m+BRxUPfpmnFysQKn7b5FLtv7EaM4iLefVfe5fHBg6cykgSsXw94eEiI/n0h+MADPdb3QExqTJH7PXQIWLMGYPvv8fWAfrA1s31Sd/IkYG0NHM9chQ7OHcplUFCgX9zs3HB8VACq91mI+3fN8P70y/o2SSAoEBHcEhSa3/+6hpats5F6zwVfLjqD32Z01LdJxUKhkLBupT2QY46+7wfr3M65aiVcCagJc6dQeH/YHMO/Oloi9tyPS0H/AYBkkop/NrjkuVvepB+uAioTzJpUMXKcCQwfpUKBHfO9sG7vLShM0vDR2w3RpOdxhN1L0rdpAoFAIDAAVCp5h8H6DdT4y3QQ9tzcg8U9FuONem/o27R8+bTtp6hkWgmz/Gdh4kQgKwtYuTK3jLU18PffQCUbBcy2HMTdSCXe2vgW0rLTCt3f/fvAO8MI4yq34dZ7Pca3Hp+r/sQJoGmrNFx9eBl9GvQpzqkJDBhXW1dc/H4+7Jofg89iV3yydS6yVSIBl6D8IoJbAp1Jz8zBa2P8MapvPUChwqZ/7mLeeO2ziioaPdrWRpsBJxBypANW7rqiczu3Gra4ec4JlT0uYt3cjvDs74esbFWR7cjIykHL14OQ9cAVP664i5b1qmmVy1GpcWhrbdg2uICe7WoXuT+BoDR4p7sHwq45oHkfXwTtb4M69XIw8uuTyMwq+v+GQCAQCAR//AFcvw5IXWdgT8hOLOqxCGNbj9W3WQVia2aLCW0nYGfwTqTZXMTLLwNbt2rK1awpB7gyUk1hs+ECzl5ORN/NfQsV4MrIAAYPBh7FZyO7fx/81n8xzI3Nn9QnJwNXrgDmbhcBQAS3BPniYOEAXx9PSCoLLPrOER3XdkRofKi+zRIItCKCWwKdWL49CA7ut3FgVSfUbHMaIUHWGNytgb7NKlF2LfWEolI0JnxqVKgAVU1HG9w52wLNevkjcEdnOHme13l547NkZavQuPspRJ9ti34TAjDxf3kn5//+z/PIeeSM4aPSC92PQFAWOFWuhAs7vLD50E1Y1QzH2jntYF0jCiO+OomUNPHWTyAQCASF4+FD4PNJ2TBxPYfQaj9h84DN+Oilj/Rtls5MaDvhyeyt/v3lANMtLWm1WrSQE+Yz2wIWf1zCgf1Aj/U9EJceV2AfmZlyYOvoUSDnzXfx0Zud0cWtSy6ZM2fkvF/3bLeiRbUWcLV1LaEzFBgqzRqbY8InRpAuvI8rl5RovLQxZvjOQGpWqr5NEwhyIYJbgjxRq4lFWy6juucZjB3ggcxka3yx8AQij7eHa3XbghVUMKrZW+Gjr8KQHtkQw78KKFRbMxMjXNzdCUO+PIqH15qgaVPgw7kByFGpdWof+SARtV4KRKj/K+j6nh+2/5x/DrMly3IgWcZi7njPQtkpEJQ1g7o0Qvz15pi8KADG1gn4Y2472FaPQ8d3AnD47F19mycQCASCCkB0cjReHnwSiYlAlcFf49TokxjUeJC+zSoUz87eavDKNQDA9u3aZVu2BE6fBlxrmQI++xGwcgBaL+qGi/cv5qn/3j2ga1fgr78Aozc/QfuekZj/2nwNuRMnAEkirpusFbskCnTm668BR0cJtY8eQW/3AZh9dDbqL66PBacWIDkzWd/mCQQARHBLoIVbd+IxckYArFxu4pPBTfHguju6jjqC++GV8MPH7cvVFsslzS+ft4N940Bs/rUFzgVHF7r9hnkdsdv3LiyqPMCKr16Brft1TFl0Ks+ZYDkqNSb+chK1GyYj5nILDJ7sj8O/dc63j7PXoxEd6ImX3rwKK3OTQtsoEJQ1SoUC33/0CpJve2Du2tOwdQvDsQ3t0O2lmrCpcw1vjg3AjiOhUKupb1MFAoFAUI64m3QXXx76Eq6fjsLNI+3QeuARBM/ahhbV857dXp55PHtrVejXaN0a2LUrb9nateVZVuPGATz1EcJnHUSrIX9j3B+/IinjaTDhzh3A2xto0IA4G5gN5aAhaPJmAP56+y+YKDX9xJMngSquDwHzBAxtMrQUzlJgiNjZAcuXA1cumaDxzXU4NvIY3Ozc8Nn+z1Drl1qY8O8EnL57GqTw5QT6QyrLC1CSpB8BvAUgC8BtACNJFrhfvKenJ8+dO1fa5r2wPEpMx7bDt7Hn8CMEHLZF4k0PgEqYVr+FASOj8MsXnnC0tdS3mWXGkcAIeLVzRPXmlxF1pm2RdOSo1Phw7gn8sdAZOY+cIVnFwr1NMJq1UKN6FWOkpKpw+YoKl/xrI+eRM8ycbmDBoix80LdJgbq7jPSD39rO8D0fic4tRDJ5QcXk7I27mPFrMPz+roGMO40AAArrGDg1DkOzVlno3sEWr7WthbrOtjDgeLrgGSRJCiQppqOWEsIHE1QUIhIicDjsMDYGbcTh0MNgpiWs1oSgsqUdrgeZwMxM3xYWD28/b8z0n4kxidFY/Ws1PHoE2BawICIwEJj6VRYO/isHqyTzOFRyyAAzKiHxoeyjW3ocQmrXMejdrinW9F4DO3M7DT1qNeDgQEiNt6PByJ9xYtSJEj8/gWHzv/8BW7bIO5Y2bw6cuXcG80/Ox67gXchSZcGlkgteq/MaOrt2xsvOL6OWTS2DnhhhKBiKD1bWwa3uAI6QzJEk6XsAIDmloHbCsSo6JBATn4qbd+Jx+04SwqNSEXkvEzdCcnAnzBSxkQ7IiK4NqI0AAGZON+DZJQqjh1TBsNcb5blTn6HTc5wf9i3rjMkLT+H7j4sW4ALkBPEzlp/Dpk1q3L3UAEyzf1qpzIR9gyAM/l8Gfp7YBmYmRjrps6oaA9taUXh4ucLffwQCAMDZ4LtYsikERw4pERXsDNUjlyd1kmkSzKtGoXLNBNR0yUL1aoBTdWM4VzdH7ZpWqFnFClXszOFoZwkLs4L/hwTlF0NxrMorwgcTlCdSs1IRnRKNqOQoRCVH4cbDGwiKDUJgVCDCEsIAyDu1DW86HFdW4PvtjgAAIABJREFUTMKuLdbw9QU65Z+1oUKQkJEA1wWuaJw2Fidmz8POnUAfHXO6R0QAyzZEYKd/CELvJSPHKB6oehmo9zfaNquMie0mon/D/nkGE65fBxo1AtB7JJZMb41xrceV3IkJXggePQI8PABHR+DUKcDCQj6ekJGA3cG7sf36dvhH+CMpU94p28bUBh5VPODh6IE69nVQw7rGk2JnZgcbUxuYGZmJAJieMRQfrEyDW7k6lqS+AAaQ/F9BsqXlWHV9zw+3rpviyQgQIOV/rOeH5fHxx8JkHsehKfdEJk9dRajXUqfKMoIqywSqLFOos0yhzjYFsi0AtbHmyStyYGx/F5VqxKKeRwo6vWyOga+6okVd7bvzvWhkZOXA3j0EmYm2CLtpDueqlYqtU60mLoY8wP1HaTAzUaJ9EyedAlrP8smPJ7BocntMW3oac8e2KbZNAkF5JCj8PrYfCseFq6kICVHgfoQlEqOrICfOSfv97DGKbEimqVCYpENhkglJoYLCSAVJoYZCqYJCqYakVENpJP+uUBCPb9nS45vq478l/vcTWo/n+l3K9eMZGcNz1CyscnDjYIdS0W0ojlVFoDz4YILiMffoXFx8IOdfeuzLE9Tp98dtdPm9JHRl5mQiNTsVqVmpT35mqjJznY8ECXXs66BJlSbo5NIJXd26onGVxvj9NwXefx+YMQOYObPkxk/fzDs2D9MOfAOz+ekYPUqJRYsKr0NNNSISIpCRk4GaNjVhbWpdYJvffgNGjwaUnzTGg3lH4WDhUATrBS86+/YBb7wBDBoEbNwIjRn2KrUKF+5fwNl7ZxEUE4Sg2CAExQTluSmCkcIINqY2sDG1ganSFMZKYxgrjDV+GimMngTBJEi5fgdQYJ02uYpEB+cO+LjNx6Wi21B8MH2+5n4PwGY99o/IcCPEhFcB8OyDjbaHHe0PPXj+YSiPhyPk9zD0TJ2u9dJ/Nj5fZ2aVCRPTRJiYqWBqpoaZGWFmTtjaAtWqKFGzmilcnCzgXssGLzWsDgszVwCueYzOi42ZiRGWr1Dj3Tcc0WPkcVzd27HYOhUKCS3rFT14qFYTqxfbwbhKGGaOaV1sewSC8oqHazV4jNb8X8nOUSE0OhY3IuMRejcF4XfT8Sg+B8kpaqSkAKmpRGqqAhlpCmRmKKFWSVCpFE9/5iigVimgylYiO8MYapVSVpzHy4nHN+LcLxzklwsaso9fjFQwR6mwmFqJnZEMBL37YILiEZ4QjqsxVwt8gCvowU6X3wulS9JsX8m0EixNLGFlYgVLY0tYGlvCztwONaxroLpVdVS3ro7adrVhYWyR6xyPHpXzTXXvLiezNiQ+bfspFp1ZhPQ6Z3DoUFsU5WWIQlLAzc6tUG1OnFBDskhEz7buIrAlKDI9egDffgtMnQo0bQpMm5a7XqlQwrOGJzxr5I6VJGcm55qxmZCRgKTMJCRlJiE5MxlJWUnIyMlAtiob2ersXD8zczKRrZZ3284rCJ9fnTa5iobY2bRgSnzmliRJhwBoe4KfTnL3fzLTAXgC6Mc8DJAkaQyAMQDg7OzcKiIiokTtFAh0oVU/P5zf2RlLtl3GuP5N9WrLgk0X8dmQ5vjftKPwmVv8YJtAIBCUJwzlraE+ET6YwFC4dEleglitmrz0qaCcVBWRlYEr8cG0G8CB+bh7F3ByKv0+XeqmIFLyw5ad6RjYeGDpdygwWEg5/9amTXIOrgED9G2RoDgYig9W5ssSJUkaAeADAF4k03RpI6bEC/TF/bgU1HRPgNI0E7EhNWFjaao3WxyaBCI+zBkPo6xgb2OuNzsEAoGgNDAUx6o8I3wwQUXgzBl5yZOZGRAQALi4FNymIpKjzoH7tH6I+P4v/L5GhZEjlKXaX1wc4OAAmHafhfi/v4C5sfAlBcUjPR3w8pL/Z9evBwYP1rdFgqJiKD6Yoiw7kyTpdQCTAfTS1akSCPRJNXsrzJx/H1n366D7qJN6s2PlriuIC2qFHu9eFYEtgUAgEBQa4YMJKgL79gFdugDW1sCRI4Yb2ALkPEM/DRsBWMRi1bawUu9vv7+8OWrPLnYisCUoEczNgf37gXbtgKFDAR8ffVskeNEp0+AWgMUArAEclCTpoiRJy8u4f4Gg0Ewf6Yn6rx7F6S0dsPqvIL3YMG1GJiTLh1gzR+TaEggEAkGRED6YoNyiVgO//AL06gXUqwecOAHUratvq0qf/o36wr7xRZw+ZoW0rPRS7WvV7quAlIOpg7uVaj+CFwtra+Dff+VlxMOGyfm3cnL0bZXgRaVMg1sk3UnWItn8v/JhWfYvEBSVQ+ubQ2kbjXHvW+JhYtm+8F689RIeXfHE68ODUMXOskz7FggEAoFhIHwwQXnlzh3g1VeBzz8HevYE/P3lXFsvApIk4b1+zlAnVcO0zetKrZ8cdQ5OnCCsaoWitVvDUutH8GJiaQns3QuMGQPMmycvVbx7V99WCV5EynrmlkBQIanpaIN5v8YgO8YN3UecLbN+1WriyylKKCpF4895L5VZvwKBQCAQCASlSWIiMGMG0LAhcPo0sGoVsGsXYGOjb8vKlnGD6wMAlm25gXtJ90qlj40XtyEzvAU6dTAqFf0CgZkZsGIFsG4dcO4c0KABMHeunJdLICgrRHBLINCRL4a1hMcb/riwqwN+XHe+TPr87OeTSA3zwMjPb6NyJYuCGwgEAoFAIBCUY8LDga+/BurUAWbPlmdrXb4MjB4NSJK+rSt73NyAWi7ZyL7dEVMPTy1x/SQxd+s+INsSw3u7lrh+geBZ3nkHuHIF6N4d+OorOcg1fz4QH69vywQvAiK4JRAUgsPrPGFSLQxfjndCUGhsqfYV9TAZS+a6wqzmDSyd2q5U+xIIBAKBQCAoLW7fBhYuBLp1A2rXlmd0tGsnz/DYskU+9iLTvZsxTO90x7qL63Hq7qkS1b0vZB9uBFYBAHTqKB79BKVP7drAjh3A4cPyphCTJgE1a8o5ubZvB1JS9G2hwFARdziBoBBUsbPEho0qqNNt0LlPBHJU6lLrq9cHgVAl1MCvi7JgYly620MLBAKBQCAQFJe0NHnWxo4dwHffAQMGAM7OgLs78Omncn6tGTPk2Vt79gCtWunb4vKBlxeQkWIOh4Tu+Hjfx8hRl0xGbpKY4TsD5lGvoW69/7N33+FxXWXix79HcpXjFjs9kZXmJqc7vceJU7ETjCUWs5TAeiGUwEKAYH6wwBpYNnQIrJeFhUWwmthppBfiFEJC7FRLtlMtl9ix4ySOe5HO748ruSSSi0bSnfL9PM88V/fM3DPvHY09r94559zIfvt1SLfSbjnvPHjoIXjqqeRqinfckfyfsPfecMop8LnPwe9+l1xAYvlyiDHtiJXvnHgt7aEJ5wxl0pceouY7Z3HZp2Zy16/O6fDn+P2d9cy++QyGX/gQky8/q8P7lyRJ+evZZ+GNN5I/Btt7g10/pqkJNmxIbuvX7/jzm2/CypXw+uvbtiveMaj90EPh9NPhtNPg4ouTIpfe7bzzku3Yku/xp1eP5ceP/ZgvnvbFrPu9ad5NzF7yJGULz+Ts6iKc86mccOyxyZp6v/wlPPII3HknPPYYTJu245pc/frBgQfCPvvA4MHJrW9f6N0bysq2bcvKoHv35JiWqcwh7PhzUxM0Nm7btvVze9tCgNLSd99KSnavbU/bQ0gutFFZ2bW/u3wTYh6USEePHh1nzZqVdhjSVk1NkYoz/saix0/ixzVzuPr9x3ZY38vfXMvBw5fTtKknL9SVceiBAzqsb0nKVSGE2THG0WnHoR2Zg+WmsWPh3nvTe/5evWDgQBg0KPkDdNCg5NYySuuII5I1tQaYwuy2o46CAw6I9PnYe7nrxbt45hPPMHTQ0Hb3t2HLBkb+YiSly4/jxe/M4Pe/T6aFSbli8+ZkFOcLL8CLLybbZcuSIvmKFUnBfO3apADW1HmTZdrUUsBqKTZtv41xW7Fr+6JXZ5ZWJk2CP/yhc/oulBzMkVtSO5SUBB65qZIjj2ng8x87hGOHL+TsY8s7pO+z3z+bzcvP4Ac1z3Dogcd1SJ+SJKlwfP/7ycipltEK7bnBrh9TUpIUsnr3Tra9ekGPHsW58HtnO+88+K//CtT/8XpmLhjJx279GA9+5EFKQvtWkbnu0et45a1X+EyPO/kZcOaZHRuvlK3u3eHII5PbzsQImzYlRa5165Lbli3vHoXaso2x9aJUWz+31dae/+feWfTafsRXNu2QjGjTzlncktqpfL/+3Hbrm1x4TgljL97Es4+vZFj5oKz6/MC1DzHvnrM49R9m8i8fOKdjApUkSQXl2I4bMK4cMWZMsuj+gjkH8OMLf8xHbvkIP3j0B1xz+jV73Ndzrz3Htx78FlWVVbx2wzAOOSRZ2FvKRyFAz57JLddHg4YA3bolN3U9F5SXsnDBSRX85H8Wsun1gzj+7GUsXvF2u/ua+ttZ/On7p7LPsU8w83d+vSZJklQszj47GS1y//3woWM+xIQRE7j2/mt5qOGhPepn/eb1fOjmDzGw90B+fvEveOghOOssR9tJKnwWt6QsfabqGL720+dYt3Aow05czPyFK/e4jx/UPMXXJlfS+6CXeOLOoV4dUZIkqYj07w+jRyfFrRACvxn/Gw4beBjvrX0vz698frf6iDEy+bbJPLPsGX4z7je89epgli1LiluSVOgsbkkd4NufPIn/d/1TrFtyKEeNfpvpD+xeEgLwiamP8MUPj6TnPouZ/dBghuzfvxMjlSRJUi4aOxYefzxZT61fz37cMekOSkIJF/zvBbyw8oWdHhtj5Iv3fJE/PPsHvnnON7l06KXMnJncZ3FLUjGwuCV1kG/980lc/38v0LixNxPHHsKln5rJmvWb2nz8C4ve4MgxD/OfXzuDAUfW89zjgxhRMbgLI5YkSVKuuOiiZEHplithHrH3Edz1wbtYu2ktZ/z2DO5/+f5Wj1u3eR1X3nolP3zsh3z6xE/ztbO+BiT9HHQQDBvWVWcgSemxuCV1oE9OOJpnnipl36Oe447rz2HAQcs5/+Mz+d3t9bzy6lvMXfA6P/zjUxx3+YMMPbIbL848hVP/YSZLnhrFkYfsnXb4kiRJSsnJJycLZt9557a24w84nkeufISBvQZy/v+ezwdmfICZC2byxvo3aHirgf+c9Z9UXl/J757+HV8/6+v89OKfEkKgsRHuuy8ZDeZ6W5KKgev4Sx1s1GH78NqT+/CtXz/Bj37Yjfv/+xzu/+/tHzEYSjdRcfoTXPfNfZhwzjkpRSpJkqRc0a1bUoy6665kBFdJ8zCE4YOH8+Q/P8m3HvwWv3jiF/xpzp92OO74A47nv8f9N+cdet7Wttmzk+mNY8d25RlIUnosbkmd5OsfP5GvfxyemLuU6fc1MP/FDXTrFjh6RBn/eMmRHHrg6WmHKEmSpBxyySWQycCTTyYLzLco617G987/HteecS0PL3yYF1a+QO/uvTnl4FM4Zr9jCO8YnnXPPcmIrfPP7+ITkKSUWNySOtmJIw7gxBEHpB2GJEmSctyllyYjtm65ZcfiVov+vfpz2dDLdtnP7bfDCSfAYJdzlVQkXHNLkiRJknLA4MFw5plw883t72PZsuSqi+PGdVxckpTrLG5JkiRJUo64/HKYMwdeeql9x99+O8QI48d3bFySlMssbkmSJElSjmgpSk2f3r7jb70VhgyBo47quJgkKddZ3JIkSZKkHHHooXDyyfDHP+75satWwd13JwWyd6wxL0kFzeKWJEmSJOWQSZPg2WeT6Yl74sYbYeNG+MAHOicuScpVFrckSZIkKYdUV0NpKfzhD3t23B//CIcfDied1DlxSVKusrglSZIkSTlk333hkkvgt79NRmLtjiVL4C9/SUZtOSVRUrHp0uJWCOHbIYRnQwhPhxDuCSEc2JXPL0mSVIzMwaT8c9VVsHw5zJixe4//z/9MrpL44Q93blySlIu6euTWf8QYj44xHgvcBny9i59fkiSpGJmDSXlm7Fg44gj4+c+TotXObNyYFLcuuyyZlihJxaZLi1sxxre32+0D7OK/aUmSJGXLHEzKPyUlcPXV8Le/wf337/yxf/xjMsrrM5/pmtgkKdd0+ZpbIYSpIYRFwCT81lCSJKlLmINJ+eef/gkOOQSmTGl79Nb69fCNb8Do0XD++V0bnyTlig4vboUQ7gshzGnlNh4gxjglxngIUAN8eif9TA4hzAohzFqxYkVHhylJklRQzMGkwtOzZ1K4+vvf4X/+p/XH/OhHsGgRXHedC8lLKl4h7moCd2c9cQjlwB0xxlG7euzo0aPjrFmzuiAqSZKUhhDC7Bjj6LTjKAbmYFJ+aWyEMWNg9mx46qlkHa4Wjz4KZ58N48fD9OnpxSgpfxVKDtbVV0s8crvd8cC8rnx+SZKkYmQOJuWv0lL4/e+he3c46yx47LGk/b774PLLYcgQ+PWv041RktLWrYuf73shhGFAE9AAfKKLn1+SJKkYmYNJeay8HB56CC66CE49Ffr3h1WrYMQIuOkmGDAg7QglKV1dWtyKMU7oyueTJEmSOZhUCEaNgmefTa6M+NxzcPTR8JGPQJ8+aUcmSenr6pFbkiRJkqR22Htv+HSbl4OQpOLVpWtuSZIkSZIkSR3J4pYkSZIkSZLylsUtSZIkSZIk5S2LW5IkSZIkScpbFrckSZIkSZKUtyxuSZIkSZIkKW9Z3JIkSZIkSVLesrglSZIkSZKkvGVxS5IkSZIkSXnL4pYkSZIkSZLylsUtSZIkSZIk5S2LW5IkSZIkScpbFrckSZIkSZKUtyxuSZIkSZIkKW9Z3JIkSZIkSVLesrglSZIkSZKkvGVxS5IkSZIkSXnL4pYkSZIkSZLylsUtSZIkSZIk5S2LW5IkSZIkScpbFrckSZIkSZKUtyxuSZIkSZIkKW+lUtwKIXwhhBBDCIPTeH5JkqRiZA4mSZIKUZcXt0IIhwBjgYVd/dySJEnFyhxMkiQVqjRGbv0I+BIQU3huSZKkYmUOJkmSClKXFrdCCOOBJTHGZ7ryeSVJkoqZOZgkSSpk3Tq6wxDCfcD+rdw1BfgqyXD43elnMjC5eXdNCGF+x0SY0wYDr6cdRI7ytWmbr03bfG3a5mvTNl+btnXmazOkk/otGjmYgxXTv6ViOddiOU/wXAtRsZwnFM+5Fst5gjnYLoUYu2ZkegjhKOB+YF1z08HAq8BJMcZlXRJEjgshzIoxjk47jlzka9M2X5u2+dq0zdembb42bfO1yU9p5WDF9H4plnMtlvMEz7UQFct5QvGca7GcJxTXubZXh4/cakuM8Tlg35b9EMICYHSMsVgqrZIkSV3OHEySJBW6NBaUlyRJkiRJkjpEl43ceqcYY0Vaz53DpqUdQA7ztWmbr03bfG3a5mvTNl+btvnaFIAuzMGK6f1SLOdaLOcJnmshKpbzhOI512I5Tyiuc22XLltzS5IkSZIkSepoTkuUJEmSJElS3rK4lWNCCP8RQpgXQng2hHBTCGFA2jGlLYRwUQhhfgjhxRDCV9KOJ1eEEA4JITwQQqgPIdSFEK5OO6ZcE0IoDSE8FUK4Le1YckkIYUAIYXrz/zVzQwinph1TrgghfL7539OcEMKfQgi90o4pLSGE34QQlocQ5mzXtncI4d4QwgvN24Fpxqj8EEL4TPP/N3UhhO+nHU9nCyF8IYQQQwiD046lMxR6rloseWex5ZHFkhMWU45XyDmbOVj7WNzKPfcCo2KMRwPPA9emHE+qQgilwC+Ai4GRwD+EEEamG1XO2AJ8IcY4EjgF+JSvzbtcDcxNO4gc9BPgrhjjcOAYfI0ACCEcBHyW5Cpyo4BS4P3pRpWq/wEuekfbV4D7Y4xHAvc370ttCiGcC4wHjokxVgLXpRxSpwohHAKMBRamHUsnKthctcjyzmLLI4slJyyKHK8Icrb/wRxsj1ncyjExxntijFuadx8DDk4znhxwEvBijPHlGOMm4P9IkuSiF2NcGmN8svnn1SQfXgelG1XuCCEcDFwK/DrtWHJJCKE/cBbw3wAxxk0xxrfSjSqndAN6hxC6AWXAqynHk5oY40PAG+9oHg/8rvnn3wGXd2lQykefBL4XY9wIEGNcnnI8ne1HwJeAgl3UtsBz1aLJO4spjyyWnLAIc7yCzdnMwdrH4lZuuxK4M+0gUnYQsGi7/cUU6AdvNkIIFcBxwOPpRpJTfkzyB0ZT2oHkmEOBFcBvm4fn/zqE0CftoHJBjHEJyaiShcBSYFWM8Z50o8o5+8UYlzb/vAzYL81glBeGAmeGEB4PITwYQjgx7YA6SwhhPLAkxvhM2rF0oULLVYsy7yyCPLJYcsKiyfGKNGczB9sFi1spCCHc1zw3+J238ds9ZgrJcOGa9CJVPggh7AXMAD4XY3w77XhyQQjhMmB5jHF22rHkoG7A8cAvY4zHAWtxWDMAzWsXjCdJDg8E+oQQPphuVLkrJpdbLtjRKdp9u8hrugF7k0x7ugbIhBBCqgFnYRfn+lXg62nH2BHMVYtHoeeRRZYTFk2OV+w5mzlY67qlHUAxijGev7P7QwgfAS4DxjS/cYvZEuCQ7fYPbm4TEELoTpKQ1MQYb0w7nhxyOjAuhHAJ0AvoF0L4Q4yxaD70dmIxsDjG2PLt7HQKNPFph/OBV2KMKwBCCDcCpwF/SDWq3PJaCOGAGOPSEMIBQKFPMdNu2FleE0L4JHBjcz7z9xBCEzCYZHRB3mnrXEMIR5H8kfVMc+3uYODJEMJJMcZlXRhihyjiXLWo8s4iySOLKScsphyvGHM2c7BdcORWjgkhXEQybHZcjHFd2vHkgCeAI0MIh4YQepAsFHhryjHlhOZvvv8bmBtj/GHa8eSSGOO1McaDY4wVJO+ZvxRoErPHmv/IWhRCGNbcNAaoTzGkXLIQOCWEUNb872sMBboQaxZuBT7c/POHgVtSjEX54WbgXIAQwlCgB/B6qhF1ghjjczHGfWOMFc2fPYuB4/OxsLUrBZ6rFk3eWSx5ZDHlhEWW4xVjzmYOtguO3Mo9Pwd6Avc2f/P3WIzxE+mGlJ4Y45YQwqeBu0mugvGbGGNdymHlitOBfwSeCyE83dz21RjjHSnGpPzwGaCmOXF/GfhoyvHkhBjj4yGE6cCTJFNtngKmpRtVekIIfwLOAQaHEBYD3wC+RzKt7GNAA1CVXoTKE78BftN8OfNNwIcLbKRPMSrYXLXI8k7zyMJUFDleoeds5mDtE8wvJEmSJEmSlK+clihJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvKWxS1JkiRJkiTlLYtbkiRJkiRJylsWtyRJkiRJkpS3LG5JkiRJkiQpb1nckiRJkiRJUt6yuCVJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvKWxS1JkiRJkiTlLYtbkiRJkiRJylsWtyRJkiRJkpS3LG5JkiRJkiQpb1nckiRJkiRJUt6yuCVJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvKWxS1JkiRJkiTlLYtbkiRJkiRJylsWtyRJkiRJkpS3LG5JkiRJkiQpb1nckiRJkiRJUt6yuCVJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvKWxS1JkiRJkiTlLYtbkiRJkiRJylsWtyRJkiRJkpS3LG5JkiRJkiQpb1nckiRJkiRJUt6yuCVJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvJWt7QD2B2DBw+OFRUVaYchSZI6yezZs1+PMe6TdhzakTmYJEmFrVBysLwoblVUVDBr1qy0w5AkSZ0khNCQdgx6N3MwSZIKW6HkYE5LlCRJkiRJUt6yuCVJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvKWxS1JkiRJkiTlLYtbkiRJkiRJylsWtyRJkiRJkpS3LG5JkiRJkiQpb1nckiRJkiRJUt6yuCVJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvKWxS1JkiRJkiTlLYtbkiRJkiRJylsWtyRJkiRJkpS3LG5JkiRJkiQpb1nckiRJkiRJUt6yuCVJkiRJkqS8ZXFLkiRJkiRJecviliRJkiRJkvJWKsWtEMLnQwh1IYQ5IYQ/hRB6pRGHJElSMTEHkyRJhajLi1shhIOAzwKjY4yjgFLg/V0dhyRJUjExB1M+qamBigooKUm2NTVpRyRJymXdUnze3iGEzUAZ8GpKcUiSJBUTczDlvJoamDwZ1q1L9hsakn2ASZPSi0uSlLu6fORWjHEJcB2wEFgKrIox3tPVcUiSJBUTczDliylTthW2Wqxbl7RLktSaNKYlDgTGA4cCBwJ9QggfbOVxk0MIs0IIs1asWNHVYUqSJBUUczDli4UL96xdkqQ0FpQ/H3glxrgixrgZuBE47Z0PijFOizGOjjGO3meffbo8SEmSpAJjDqa8UF6+Z+2SJKVR3FoInBJCKAshBGAMMDeFOCRJkoqJOZjywtSpUFa2Y1tZWdIuSVJr0lhz63FgOvAk8FxzDNO6Og5JkqRiYg6mfDFpEkybBkOGQAjJdto0F5OXJLUtxBjTjmGXRo8eHWfNmpV2GJIkqZOEEGbHGEenHYd2ZA4mSVJhK5QcLI1piZIkSZIkSVKHsLglSZIkSZKkvGVxS5IkSZIkSXnL4pYkSZIkSZLylsUtSZIkSZIk5S2LW5IkSZIkScpbFrckSZIkSZKUtyxuSZIkSZIkKW9Z3JIkSZIkSQWppgYqKqCkJNnW1KQdkTpDt7QDkCRJkiRJ6mg1NTB5Mqxbl+w3NCT7AJMmpReXOp4jtyRJkiRJUsGZMmVbYavFunVJuwqLxS1JkiRJklRwFi7cs3blL4tbkiRJkiSp4JSX71m78pfFLUmSJEmSVHCmToWysh3bysqSdhUWi1uSJEmSJKngTJoE06bBkCEQQrKdNs3F5AuRV0uUJEmSJEkFadIki1nFwJFbkiRJkiRJyls20vbzAAAgAElEQVQWtyRJkiRJkpS3LG5JkiRJkiTtQk0NVFRASUmyralJOyK1cM0tSZIkSZKknaipgcmTYd26ZL+hIdkH1/TKBY7ckiRJkiRJ2okpU7YVtlqsW5e0K30WtyRJkiRJknZi4cI9a1fXsrglSZIkSZIKTkeukVVevmft6loWtyRJkiRJUkFpWSOroQFi3LZGVnsLXFOnQlnZjm1lZUm70pfVgvIhhH2AfwIqtu8rxnhldmFJkiSpNeZfkiTt2s7WyGrPAvAtx0yZkkxFLC9PClsuJp8bsr1a4i3Aw8B9QGP24UiSJGkXzL8kSdqFzlgja9Iki1m5KtviVlmM8csdEokkSZJ2h/mXJEm7UF6eTEVsrV2FJ9s1t24LIVzSIZFIkiRpd5h/SZK0C66RVVyyLW5dTZJgbQghrG6+vd0RgUmSJKlV5l+SJO3CpEkwbRoMGQIhJNtp05xWWKiyKm7FGPvGGEtijL2af+4bY+zXUcFJkiRpR+ZfkqRcUlMDFRVQUpJs23s1ws4waRIsWABNTcnWwlbhynbNLUII44Czmndnxhhvy7ZPSZIktc38S5KUC2pqYPLkbVclbGhI9sFCkrpWViO3QgjfIxkaX998uzqE8N2OCEySJEnvZv4lScoVU6ZsK2y1WLcuaZe6UrYjty4Bjo0xNgGEEH4HPAVcm21gkiRJapX5lyQpJyxcuGftUmfJdkF5gAHb/dy/A/qTJEnSzpl/SZJSV16+Z+1SZ8l25NZ3gadCCA8AgWTth69kHZUkSZLaYv4lScoJU6fuuOYWQFlZ0i51payKWzHGP4UQZgInNjd9Oca4LOuoJEmS1CrzL0lSrmhZNH7KlGQqYnl5UthyMXl1tXZNSwwhDG/eHg8cACxuvh3Y3CZJkqQOZP4lSdpdNTVQUQElJcm2pqbznmvSJFiwAJqakq2FLaWhvSO3/gWYDPyglfsicF67I5IkSVJrzL8kSbtUU7PjVMGGhmQfLDypcLWruBVjbP6nwcUxxg3b3xdC6JV1VJIkSdqB+ZckaXdMmbLjGliQ7E+ZYnFLhSvbqyU+upttkiRJ6hjmX5KkNi1cuGftUiFo18itEML+wEFA7xDCcSRX6gHoB5R1UGySJElqZv4lSdod5eXJVMTW2qVC1d41ty4EPgIcDPxwu/bVwFezjEmSJEnvZv4lSdqlqVN3XHMLoKwsaZcKVXvX3Pod8LsQwoQY44w9PT6EMAD4NTCKZAHUK2OMf2tPLJIkScUg2/wLzMEkqRi0rKs1ZUoyFbG8PClsud6WClm71twKIXyw+ceKEMK/vPO2G138BLgrxjgcOAaY2544JEmSikUH5F9gDiZJRWHSJFiwAJqakm1HFbZqaqCiAkpKkm1NTcf0m41cjEldr73TEvs0b/fa0wNDCP2Bs0iG1RNj3ARsamcckiRJxaLd+ReYg0mSslNTA1deCZuaPzkaGpJ9SG9UWE3NjlMwGxqS/TRjUjpCjLFrnzCEY4FpQD3JN4azgatjjGvbOmb06NFx1qxZXRShJEnaXlNs4q8L/8q81+fxTyf8U6c8RwhhdoxxdKd0LsAcTJKUncGDYeXKd7cPGgSvv9718UAyUqu1xfOHDElGrOW7tZvWcscLdzCg1wAuOPyCTnmOQsnB2jUtsUUI4fshhH4hhO4hhPtDCCu2GzLflm7A8cAvY4zHAWuBr7TS9+QQwqwQwqwVK1ZkE6YkSdpDTbGJRxc9ytV3Xs0hPzqEs/7nLL5835fZ1OhAn7S1M/8CczBJUhZaK2ztrL0rLFy4Z+35YP3m9dw490beP/397HvdvlRNr+JXs3+Vdlg5r73TEluMjTF+KYRwBbAAeC/wEPCHnRyzGFgcY3y8eX86rSRWMcZpJN8uMnr06K4dXiZJUhGKMfL3JX8nU5fhhvobWPT2InqW9uTiIy+mamQV7xn2HnqU9kg7TLUv/wJzMElSgSkvb33kVnl518eSjY1bNnL3S3dTW1fLrfNvZc2mNQwuG8yHjv4QVZVVnDXkrLRDzHnZFrdajr8UuCHGuCqEsNMDYozLQgiLQgjDYozzgTEkw+MlSVIXizHy5NInqa2rJVOXoWFVA91LunPRERfxnTHfYdywcfTr2S/tMLWjPc6/wBxMkpSdQYPanpaYlqlTd1xzC6CsLGnPdZsaN3HvS/eSqc9w87ybeXvj2+zde2/eX/l+qkdVc07FOXQrybZkUzyyfaVuCyHMA9YDnwwh7ANs2I3jPgPUhBB6AC8DH80yDkmStJtijDzz2jNk6jJk6jK89OZLdCvpxgWHXcA3z/km44ePZ0CvAWmHqba1N/8CczBJUjv95Cfw0Y/C5s3b2rp3T9rT0rJo/JQpyVTE8vKksJWri8lvbtzMX175C7V1tdw07ybe2vAWA3oNYMKICVRVVjHm0DF0L+2edph5KesF5UMIewOrYoyNIYQyoF+McVmHRNfMxUwlSdo9NTVtJ3hzls+hdk4tmfoMz698ntJQypjDxlA1sorLh1/OoLL0vnotlMVMu0pX5F9gDiZJ2tHO8gy1bkvTFmYumEmmLsONc29k5fqV9O3Rl8uHX051ZTUXHH5Bqss+FEoOltXIrRBCd+CDwFnNw+EfBFzpTJKkFLR2OeyPf2UuN76RYV5phvoV9ZSEEs6pOIcvnPoFrhh+Bfv02SfdoLXHzL8kSWmZNMli1u5obGrk4YUPUzunlhlzZ7Bi3Qr26rEX44aNo2pkFRcecSG9uvVKO8yCku20xF8C3YHrm/f/sbnt41n2K0mSdqK1b06nTGkubO39AoyqhcoMG/Z7jhtXBs6qOJNfXPILJoyYwH577Zd2+MqO+ZckSTmmKTbx14V/JVOXYfrc6Sxbs4yy7mVcNvQyqiurufiIi+ndvXfaYRasbItbJ8YYj9lu/y8hhGey7FOSJO1EqyO0rnmZDYdn4KIMHPBUcsfC0+GOn8LcCTz49oHpBayOZv4lSVIOaIpNPL74cWrrarmh/gZeXf0qvbr14tIjL6WqsopLj7yUPj36pB1mUci2uNUYQjg8xvgSQAjhMKAx+7AkSVJbto7Q6t8AlZlkhNZBzesiLT4Z7voh1L8P3j4EgCFD0otVncL8S5KklMQYeeLVJ7ZemGfR24voUdqDi4+4mOrKai4behl9e/ZNO8yik21x6xrggRDCy0AAhuBVdyRJ6hCtTT08+z2LaTjwBrigFg5+PHngktFwz/ehfiJlmyry8nLY2iPmX5IkdaEYI08te2rrhXkWvLWA7iXdufCIC5l63lTGDRtH/1790w6zqGVV3Iox3h9COBIY1tw0P8a4MfuwJEkqbjtMPez7Kg37zeBDM2tpevGvcCGw9Di477tQNxHePBxIRmi1rL3lVYwKl/mXJEmdL8bIs689m4zQqs/w4hsv0q2kG+cfdj7fOPsbjB82noG9B6Ydppple7XEXsBVwBlABB4OIfwqxrihI4KTJKlYfeXbr7GucgZU1sKQhyFEml47iv5PfpuvXV7FN74/tNURWl7FqPCZf0mS1HnqltdRW1dLpi7D/JXzKQ2lnHfoeXz59C9zxfArGFQ2KO0Q1YpspyX+HlgN/Kx5/wPA/wITs+xXkqSi8/q615lRP4NMfYbF1TOhpAlWjICZ34C6Knh9BG8H+OItcEAPR2gVMfMvSZI60LzX55Gpy1BbV0v9inpKQglnDzmbz5/yed474r3s02eftEPULmRb3BoVYxy53f4DIYT6LPuUJKmgtKyd1dAApaXQ2LhtCuHF732Dm+beRKY+w/0v309jbGTooKH0f3YKqx6tguWVJMsqJcrLk60jtIqa+ZckSVl68Y0Xt66h9exrzxIInDnkTH5+8c+ZMHIC+++1f9ohag9kW9x6MoRwSozxMYAQwsnArOzDkiSpMOywdhZJYYteb9Ew4BY+dHct4cV7aWQLhw08jC+d/iWqK6s5er+j+ePAwOR7YLuZhy4OrxbmX5IktcMrb76ydYTWU8ueAuC0Q07jJxf9hAkjJnBQv4NSjlDtlW1x6wTg0RDCwub9cmB+COE5IMYYj86yf0mS8tqUKc2FrZ5vw7BboTIDh98N3TbR9NYQ+j33ef7y02qOP+B4Qtg2QqtlVJZTD9UK8y9JknbTwlULk0Xh6zI88eoTAJx80Mn8YOwPmDhyIof0PyTlCNURsi1uXdQhUUiSlOdaph5uX4gaP3ENDf3+DNUZOPJO6LYRVh0Mf/90sobWkpNYHQInTG+9T6ceqg3mX5Ik7cTitxczvX46tXW1PLb4MQBOOOAEvn/+95lYOZGKARXpBqgOl1VxK8bY0FGBSJKUr3aYeth9HQ19bufDt9dS8tLtMGEDrD4AZv0z1FXD4lMglmw9tmUNLWl3mX9JkvRuS1cvZXr9dDL1GR5Z+AgAx+5/LN857ztMrJzIEXsfkXKE6kzZjtySJKnoXfv19awrvwtG1cLQP0OPdTSu2Y+y+o/x5fOr+MHVZ7B+Xcm7jnMNLUmSpPZbvnY5M+pnUFtXy0MNDxGJjNp3FN8+99tMHDmRYYOHpR2iuojFLUmS2mHjlo3c/dLd1NbVsqj6Vui5BtYOhmf/EeZUQ8NZrKGUb/8fDO/d9tUSnXYoSZK0+15f9zo3zr2RTF2GBxY8QFNsYvjg4Xz97K9TVVnFyH1G7roTFZysilshhH+PMX55V22SJOWT1tbPmjQJNjVu4t6X7iVTn+HmeTfz9sa32bv33uy14P2sebwKFpwLTds+WsuHJFvXzlJHMv+SJBWbN9a/wc3zbqa2rpb7X76fxtjIkXsfyVfP+CpVlVWM2nfUDhfmUfHJduTWBcA7E6mLW2mTJCkvXHUV/OpXEGOy37BoMx/7zl/4r9cyPLv5Jt7c8CYDeg1gwogJVFVWMebQMWT+rzuTb4F1Tdv6ccqhOpH5lySp4K3asIqb591Mpj7DvS/dy+amzRw28DCuOe0aqkdVc8x+x1jQ0lbtKm6FED4JXAUcFkJ4dru7+gJ/7YjAJEnqKlddBdOmJdMFASjZAhUPJmtojbiRjWUreWhlXz44+nKqKqsYe/hYepT22Hp8y6is1kZ7SR3F/EuSVOje3vg2f57/Z2rrarn7pbvZ1LiJIf2H8LlTPkdVZRUnHHCCBS21qr0jt/4I3Al8F/jKdu2rY4xvZB2VJEmdrGXqYUPLdedCI1Q8DJUZGDED9loOm/rA/HEwp5r40oX8fnOvNvtz6qG6gPmXJKngrNm0htuev41MXYY7XriDjY0bOajvQXzqxE9RXVnNSQedZEFLu9Su4laMcRWwCviHEEIpsF9zX3uFEPaKMS7swBglScra9uto7b03rF4NmzY3Qflfk4LWyOnQdxlsKoPnL4O6KnjhEtjSG0gWgJfSZP4lSSoU6zav444X7qC2rpbbn7+d9VvWs/9e+zP5hMlUV1Zz6iGnUhLefaVpqS3ZLij/aeBfgdeAlpVGInB0dmFJktQxamrg6qth5cqWlsjK3o/B6AxU3gD9lsDmXkkhq64anr8UNvfZoY8QXD9LucP8S5KUjzZs2cCdL9xJpj7Dn+f/mbWb17Jvn3356LEfpaqyijPKz6C0pDTtMJWnsl1Q/nPAsBjjyl0+UpKkLlZTA5Mnw7p1EQ6clayhNfIGGLAQtvSAFy+Ge78P898Dm/q22kcI8IlPOOVQOcX8S5KUFzZu2cg9L91DbV0tt86/ldWbVjO4bDAfPPqDVFVWcfaQsy1oqUNkW9xaRDI8XpKkVG0/7bC8HP7t3yLX/Ogp1p2WSaYdDnwFGrvDS2PhL/+WrKW1sf9O+xwyxIXhlZPMvyRJOWtT4ybuf/l+autquXnezazauIqBvQZSVVlFdWU15x56Lt1Ksi1FSDvK9h31MjAzhHA7sLGlMcb4wyz7lSSpTe+catinD2zeDJs2RdjvORoOr+VDszLEcS9CYzd4+Xx48P/BvMthw8Cd9l1amoz2uv76LjgRqX3MvyRJOWVz42YeWPAAmboMN869kTc3vEn/nv25YsQVVI2sYsxhY3a40rTU0bItbi1svvVovkmS1KlqauDKK2HTpm1ta8vqktFZo2ph8HxoKiG+ch7hkS8T66+A9YPe1U/37tCvH7zxRjLSyxFayiPmX5Kk1G1p2sKDCx4kU5dhxtwZrFy/kr49+jJ++HiqRlYx9vCx9OzWM+0wVSSyKm7FGL/ZUYFIktSad043XLOmubA1aH5SzKrMwL51EAMsOAce+xzMfS+s3ZcIlJXBunf0OWgQ/OQnFrOUn8y/JElpaWxq5JGFj1BbV8uMuTNYvnY5fbr34T3D3kN1ZTUXHXERvbr1SjtMFaF2FbdCCD+OMX4uhPBnkqvz7CDGOC7ryCRJRW/bgvDJfsPqF5NiVmUt7P9sUtBaeAbc/nOYOwHW7L/D8S1rZm1fHHOElvKV+ZckKQ1NsYm/LfobtXW1TK+fztI1S+ndrTeXDb2M6spqLj7yYsq6l6Udpopce0du/W/z9rqOCkSSpHeaMgXW9XgFjmteFP7AJ5M7Fp4Gd/4Y6t8Hqw9q9diysm2FLItZKhDmX5KkLhFj5PElj1M7p5Yb6m9gyeol9CztySVHXkJ1ZTWXDb2MPj36pB2mtFW7ilsxxtnN2wdDCD2Aoc13zY8xbu6o4CRJxeGdUw8//68L2TL0BhrG1sJBTyQPWnwS3P2DpKC1qvxdfZSUwMCBrqGlwmX+JUnqTDFGZr06i0xdhkx9hoWrFtKjtAcXHXER/z7y3xk3bBx9e/ZNO0ypVVmtuRVCOAf4HbAACMAhIYQPxxgfyj40SVIx2Dr1sHQJnHwDDZUZPtfwN2iAHj1PYNO9/w51VfBWxdZjBjWvD99ytUTX0FIxMf+SJHWUGCNPL3t6a0Hr5TdfpntJd8YePpZvn/ttxg8bT/9e/dMOU9qlbK+W+ANgbIxxPkAIYSjwJ+CEbAOTJBW+pauX8pk/zGBddS0MeSRpXHYM3PcdDnxrIt//yhFM/s22NbcgmW5oIUtFzvxLktRuMUbmLJ9DbV0tmboML7zxAqWhlPMPO58pZ07hiuFXMLD3wLTDlPZItsWt7i2JFUCM8fkQQvcs+5QkFYh3TjecOhUuuHw5M+pnkKnP8OCCB4mnRHhtFPzlW8kIrZXDAFgathWwXBBe2oH5lyRpj9WvqCdTl6G2rpZ5r8+jJJRwbsW5XHPaNVwx4goGlw1OO0Sp3bItbs0KIfwa+EPz/iRgVpZ9SpIKwA5XOix7nYZBN/Gh+2qJLz5ApInhg4fz9bO/zrSrq1j67Mh3HV/evKyWC8JL72L+JUnaLfNfn791yuGc5XMIBM6uOJvPnvRZJoycwL599k07RKlDZFvc+iTwKeCzzfsPA9dn2ackqQB85Ztvsm7YTclVDg+7D0oaaVp5BP2euZZHflnNqH1HEULgyC9tVwRr1nKlQ0mtMv+SJLXppTde2jrl8JnXngHgjPIz+NnFP2PCiAkc0PeAlCOUOl5Wxa0Y48YQws+B+4Emkqv1bOqQyCRJeWfVhlXcMv8WautqWfz+e6F0M7x5KPz1mmTK4bJjWR0CR9247RinHkp7xvxLkvROC95akIzQqsswe+lsAE49+FR+dOGPmDhyIgf1OyjlCKXOle3VEi8FfgW8RHK1nkNDCP8cY7yzI4KTJOWW1tbQGve+1dw6/1Yy9RnuevEuNjVuorx/Of3qr+btv1XDqyeQfEQkWqYbbs+ph9LuM/+SJAEsWrVo65TDvy/5OwAnHngi111wHRMrJ1Lev5WkSypQHXG1xHNjjC8ChBAOB24HTK4kqcDssIZW97U07HUbH76jlpKX7mBz3MhBfQ/iUyd+iqrKKk4+6GT+uE9g8p2w3WxDpxtKHcP8S5KK1KurX+WGuhuoravlb4v/BsDxBxzP98Z8j6rKKg4deGjKEUrpyLa4tbolsWr2MrA6yz4lSTno2q+vY13FHckaWkNvg+7raVy9P2V1k3ngP6o59ZBTKQklWx/vdEOp05h/SVIRWbZmGTPqZ1BbV8sjCx8hEjlmv2OYet5UJo6cyJGDjkw7RCl1Jbt+yE7NCiHcEUL4SAjhw8CfgSdCCO8NIby3A+KTJHWRmhqoqICSkmRbUwMbtmzg5nk38w8z/oFF798XqibCkAfhqY/Cb2fCDxez5oafcnr56TsUtlpMmgQLFkBTU7K1sCV1CPMvFYyrroJu3SCEZHvVVbt/bGufW7tzn3Ytl1+/ltha3jMh7DzGXDmXnb3XW4txxdoV/GrWrzj3d+dy4A8O5NN3fpqHZ71Bvyf/le+Xz+XpTzzNV8/8aqcWtrJ97WpqYPDg5JxDSH6uqdmx3732gtLS5P6SEujd+92PT0OuvG+0+0KMsf0Hh/DbndwdY4xXtrvz7YwePTrOmuUVriWps+ww5bB0Ixx+D6XHZOg+6hY2xNUM6j2IjU9PYM1j1dBwFjRtG/g7ZEhSuJKyEUKYHWMcnXYc+aCr8i8wB1Pnuuoq+OUv393+yU/C9bu4/ucOn1vNyspg2rTk57bu80uWXdvZa5v269dabC1aizFXzmVn7/XTT98uxt4rYcRNlBxdCxUP0EQjB3QfxoqZ1Wx5ugpWVHbZOWT72tXUwJVXwqZ3XO6kpCQp7r2zvS3du8Nvf9u1v69ced90lULJwbIqbnUVEytJ6hhXXZV8MDc2Jt+STZ6c/AEx5LBNLCy9H0bVwvCbodcqWD+QvRa9lxnfquLcinPJ/F/3ovqgV9cqlMSq0JiDqTN165Z8Hr1TaSls2bLzYysqoKHh3e1DhiTbtu7zy5hd29lrm/br11ZsLd4ZY66cy87e6wcc9iaL+9ycLPtw2H1QugXeOJx+i6p5+JfVvOfko1jYEN51bGefQ7av3a5+V3uiq39fufK+6SqFkoNZ3JKkIvGubw1LtsChf2H4+zLM40bo/SZs6A/zLoc51fDKGEJTD5qath3S2tUSLWypIxRKYlVozMHUmcK7/17fald/opSUtP6Ylj7bum/7zzS1bmevbdqvX1uxtXhnjLlyLu96r/dcBcNuTb5UPPweKN0Mb1ZAXTXUVcHS4wgh0NSU3jlk+7y7+l3tia7+feXK+6arFEoOlu2C8u0WQigFZgFLYoyXpRWHJBWLadOA0AgVD0JlLYy4Efq8zryNfemzaDxr/14FL42Fxp5bjykfsmMfkyZZzJLynTmYckVpadujWXalvLz1kRXl5cl2Z/dp53b12qaprdi2v393Ht/V51JaCo2lq2HYn5MRWkfcCd02wapD6Df3s7z9aDW8OhrYVgVriTGtc8j2eXf1u9rTWLpSrrxvtGeyXVA+G1cDc1N8fkkqCo1NjTy44EEaL/wUfOFA+PAYOLoGXj4f/u8m+I/l/OdF/0vZ4vfsUNgqK0tGZkkqOOZgygmTJ+9Z+/amTk0+p7bX8rm1s/u0a7n8+rUWW4vWYkz7XNZuWkvtnFrKr5kA1+wLEybBgbPgiavg14/yiQ0LuP7y6yh760S2L2xtH2Na55Dt806dCj16vLu9pKT19rZ0797177203zdqn6xGboUQ/qWV5lXA7Bjj0zs57mDgUmAq0FofkqQsNMUm/rbob9TW1TK9fjpL1yyF43rD85clw91fuAQ2J5/apaXbRmM55VDKfe3Nv5qPNQdTzmhZNL61tSB3ZXc+t/xMa59czgm2j62hYdvovyFDWo8xjXNZv3k9d7xwB7V1tdz2/G2s37Ke/Qfvz6jlH6e+ppqmhtMoLSl513u9rRjT+n1k+7wtj7v6ali5Mvl50CD4yU927LesDNavT6b7hQA9e8KGDTs+vqvfe7n8b0Bty/ZqiX8ERpNcghrgMuBZoAK4Icb4/TaOmw58F+gLfHFXQ+Jd70GSdi3GyONLHidTl+GG+htY/PZiepb25JIjL6G6spr7fnkpv75+r3cdtztXpZI6W6Gs99AV2pt/NR9rDiZJHWzDlg3c/eLd1NbVcuv8W1m7eS37lO3D+0a+j6rKKs4sP5PSkt2YbyuloFBysGzX3DoYOD7GuAYghPAN4HbgLGA28K7kKoRwGbA8xjg7hHBOWx2HECYDkwHKndwqSa2KMTJ76Wxq59SSqc+wcNVCepT24KIjLuJ7Y77HuGHj6NuzLwDVv4DusX3fkEvKKXucfzU/zhxMkjrIpsZN3PPSPWTqMtwy/xbe3vg2g3oP4gNHfYDqymrOrjibbiWpLXEtFZ1s/7XtC2zcbn8zsF+McX0IYWMbx5wOjAshXAL0AvqFEP4QY/zg9g+KMU4DpkHyrWGWcUpSwYgx8vSyp8nUZcjUZ3j5zZfpVtKNsYeP5dvnfptxw8YxoNeAVo+9/nqLWVIBaE/+BeZgkpSVzY2buf+V+6mtq+XmeTfz1oa3GNBrAO8bkYzQOu/Q8+he2j3tMKWilG1xqwZ4PIRwS/P+e4A/hhD6APWtHRBjvBa4FqD5W8MvvjOpkiTtKMbInOVzqK2rJVOX4YU3XqA0lHL+Yecz5cwpXD78cvbuvXfaYUrqGnucf4E5mCS1x5amLTzwygNk6jLcOO9G3lj/Bv169uPy4ZdTXVnN+YedT4/SPVghXVKnyKq4FWP8dgjhLuC05qZPxBhbFmZwuTVJylL9inoydRlq62qZ9/o8SkIJ51acyzWnXcMVI65gcNngtEOU1MXMvySpczU2NfJQw0PU1tUyY+4MXl/3Onv12Ivxw8ZTVVnFhYdfSM9uPXfdkaQu0xGTgJ8ElrT0FUIojzEu3J0DY4wzgZkdEIMkFYznVz6/dQ2tOcvnEAicXXE2nz3ps0wYOYF9++ybdoiS0tfu/AvMwSTpnZpiE48sfIRMXYbp9dN5be1rlHUv4z1D30N1ZTUXHXERvbv3TjtMSW3IqrgVQvgM8A3gNaARCEAEjs4+NEkqHi+98dLWEVrPvPYMAGeUn8HPLv4ZE0ZM4IC+B6QcoaRcYf4lSR2jKTbx2OLHqJ1Tyw31N7B0zU1QPgAAACAASURBVFJ6d+vNpUMvpWpkFZcOvZSy7mVphylpN2Q7cutqYFiMcWVHBCNJhaqmBqZMgYULobwcpk6F0y9dkCwKX5dh9tLZAJx68Kn86MIf8b6R7+PgfgenHLWkHGX+JUntFGPk70v+vvXCPIvfXkzP0p5cfOTFVFdWc9nQy9irx15phylpD2Vb3FoErOqIQCSpUNXUwOTJsG4d0G8RDQfewIceqqXpxb8DcOKBJ3LdBdfxvpHvY8iAIekGKykfmH9J0h6IMfLk0ie3XpinYVUD3Uu6c9ERF/HdMd9l3LBx9OvZL+0wJWUh2+LWy8DMEMLtbHdJ6hjjD7PsV5IKxpf/7VXWHXUDVGag/FEAml49ngGzvseTv6/i0IGHphyhpDxj/iVJuxBj5JnXntk6Sv6lN1+iW0k3LjjsAr55zjcZP3w8A3oNSDtMSR0k2+LWwuZbj+abJBWV1qYbTpoEy9YsY0b9DGrrallS/QiECMuOhvunQt1EeONIVgU4dGDaZyApD5l/SVIrYozUrajbemGe51c+T2koZcxhY7j2jGu5YsQV7N1777TDlNQJsipuxRi/2VGBSFI+qamBq6+GlduteNOwYgUfvX4G31mSYd6GB2mKTYzcZyT9n/pXVj1aBa8P36GP8vIuDlpSQTD/kqQdzV0xd+uFeea+PpeSUMI5FefwhVO/wBXDr2CfPvukHaKkTtau4lYI4ccxxs+FEP5McnWeHcQYx2UdmSTlqB3W0Oq9EkbcBJW1cOgDbC5p5Pmlw/jauK9RVVlF5b6V1PSHyffBuu36KCtLRnlJ0u4y/5KkbV5Y+cLWNbSeW/4cgcBZQ87i0yd9mgkjJrDfXvulHaKkLtTekVv/27y9rqMCkaR88ZVvvsm6oTcna2gddh+UboE3DodHvgx11WxZfhTf/FHY+vhJk5Jta9MXJWkPmH9JKmovv/ny1hFaTy97GoDTDzmdn170UyaMnMCBfQ9MOUJJaWlXcSvGOLv5x1nA+hhjE0AIoRTo2UGxSVLOWLVhFbfOv5XauloWv/8eKN0Mb1bA374AdVWw9DggKWgNaeWCh5MmWcySlB3zL0nFqOGthmRR+PoMs16dBcApB5/CD8f+kImVEzm438EpRygpF2S7oPz9wPnAmub93sA9wGlZ9itJqVu9cTV/fv7PZOoy3PninWxq3MQh/Q6h39zP8vaj1fDqaFoKWi2cbiipC5h/SSpoi1YtYnr9dGrranl8yeMAjD5wNP9xwX8wceREhgxo5ZtESUUt2+JWrxhjS2JFjHFNCKEsyz4lqdO1dZXDtZvWcvsLt1NbV8sdL9zBhi0bOKjvQVw1+iqqKqs4+eCT+dO+JUy+Y8c1tAAGDYKf/MQRWpI6nfmXpILz6upXmV4/nUxdhr8u+isAx+1/HN8d812qKqs4bOBhKUcoKZdlW9xaG0I4Psb4JEAI4QRgffZhSVLn2WFBeKBhyXquvO4OfrYsw3Mbb2Pd5nXsv9f+fPy4j1M9qprTDjmNklCy9XjX0JKUMvMvSQXhtTWvMWPuDGrranm44WEikaP2PYp/O/ffmFg5kaGDhqYdoqQ8kW1x63PADSGEV0nm5uwPVGcdlSR1oilTYN2mDTDsbhhVC0P/zKaea3hixT7885kfpqqyijPLz6S0pLTNPlxDS1KKzL8k5a0Va1dw49wbydRnmLlgJk2xiRGDR/CNs79BVWUVI/YZkXaIkvJQVsWtGOMTIYThwLDmpvkxxs3ZhyVJ2Wlt2uH/Z+/Ow6Qqz/z/v+9u9k3EFUXADYEmxgU17luMa1yCdCdxsk0mJL+MiSZOMpM4k91JZrKaTCbzdZLMJBkyqRJQwSVq3HXigsaFanakEUFRULZm6+7n90cV0GCzNL1UV/F+XVdfXXXqLDenaPj0fZ56zvgPbuS++fdRd0IWPnQH9FoF9YNgxodgRg1NdWfz799ra89fkjqW+UtSqVmxbgW3zbyNTC7Dgy8/SGNqZMR+I7jxzBuprqpmzIFjil2ipBLXpt/iIuKj2y06ISJIKf22LfuVpLbY5mOHFZuo6/4AH7stw4QFt1Pf9DYVIwfSlLs6f5fDl8+Dpu5Ay3c5lKSuxvwlqRS8vf5tbp91O9lclvsX3E9DUwNH7HsEXz79y9RU1XDsQccSEbvekSTthrYOUTip2eNewPnAc4DhSlLRfPUfG6g/+CGoysKoKdBnBY3rBxBzruSur9XwxlPv5bM399gy5xZ4l0NJJcX8JalLWrVhFVNnTyWTy3DvvHvZ1LSJ4QOH88X3fJHqqmpOGHyCDS1JHaKtH0v8XPPnETEQ+EObKpKkPdDY1MijdY+SyWVYNH4y9H0TNvSD2VfkR2jNu5D6pp5c8jvgaOgWTggvqTSZvyR1JWs2rmHa7Glka7PcM/ceNjRuYMiAIXzu5M9RM6aGkw45yYaWpA5XsetVWmUtcHg771OSWtSUmni07lGuvftaDv3RoZz32/P43Yu/o8/r58MfpsD3l8GU/4HZl0NjT4YO3brtNdfAwoXQ1JT/bmNLUgkzf0l7YOJEGD4cKiry3ydOLHZFu2dz3RHQrVv+e2fXv3bjWm7N3crV2as54PsH8OEpH+bpV5/mM2M/w9cOfYKKm+v48cU/pPr0k/n977dtbJXqeS9Xvh8qF22dc2sakApPK4DRQLatRUkStDwp/Ic+3MSTi58kMyPDpJmTWLJ6Cb279ebSEZdSPbqaS0dcym3ZPkyYBPUNW/flxw4llQvzl9R228zPCdTV5Z9D177gtX3djY35751R/7pN67hn3j1kc1mmzZlG/aZ6Dup7EJ88/pPUVNVw+tDT+d/fVzDhuh2f11I97+XK90PlJFJKu15rRxtHnN3saQNQl1Ja3OaqtjN27Ng0ffr09t6tpC5s2/9sExz6NN2Oy7LPqbeyvOEVelb25OKjL6amqobLRlxGvx793rG9HzuUSkdEPJtSGlvsOkpBZ+UvMIOpfA0fnv9FfnvDhuVHdHdVO6p7s/auf0PDBu6dfy+ZXIaps6eyZuMa9u+zP1ePuprqqmrOGnYWlRWVu6xvc12let7Lle+HoHwyWJuaW53FYCXtfYYNTyza+ByMyeQnhh9YB43d6f3qRdxyXTWXH3M5A3oOKHaZktpJuQSrcmMGU7mqqICWfg2KyE9Z0FXtqO7N2qP+jY0buX/+/WRrs9w+63ZWbVjFoN6D+MDID1AzpoZzhp9Dt4qWPwC0q/Naque9XPl+CMong+3RxxIjYjVbh8O/Q0rJ3zgltVpKiRdef4FsLsuiK7IwaD40doMFF8BD34TZV7B+w0D+6lfFrlSSOp/5S2o/Q4e2PGKl+fycXdGO6m7++p7Y1LiJB19+kEwuw22zbuPt9W8zsNdAxo0aR3VVNecffj7dK7vvcX2b6yrV816ufD9UTvaouZVS6g8QEd8GlgK/AwK4BhjcbtVJ2ivMWDaDzIwM2dosc5bPoTIq6bXufNbf8RWYdSWs22/LukOHFbFQSSoi85fUfm66adu5hqA05udsqe7NWlt/Q1MDDy98mGwuy5SZU1i+bjn9e/TnypFXUlNVwwVHXkCPyh5trq95XaV63suV74fKSZsmlAcuTym9u9nzX0TEC8DX2rhfSWVu5hszyeayZGuz1L5RS0VUcM7wc7jh1Bu4auRV3Hf7AUyYCPXrtm7jf7aSBJi/pDbbPA9nqc3P2bzuujqorMxPKj9s2O7V39jUyGOLHiMzI8PkmZN5o/4N+vXox+XHXE716GouPOpCenXr1S71tXReS/W8lyvfD5WTtk4o/3/Az4E/kB8m/yHgb1NKp7VPeXnO9yCVh7nL55LJZcjmsry07CWC4MxhZ1JTVcO4UeM4qN9B26zvpPDS3qNc5nvoDJ2Vv8AMJpWDptTEE4ueIJvLMmnmJF5b8xp9uvfhshGXUVNVw8VHXUzv7r2LXaakIimXDNbWkVsfBm4ufCXgicIySQJgwVsLyOayZHIZnn/teQBOP+x0fnrRTxk3ehyH9D9kh9tec43NLElqgflL0k41pSaeWvwUmVyGW2tvZcnqJfTq1otLj76U6qpqLj36Uvr26FvsMiWp3bSpuZVSWghc0T6lSColm0dVtTQk/oxL67Z85HD6kvwV//cMeQ8/et+PGF81niEDhhS5ekkqXeYvSS1JKfHMkmfyGSyX5ZVVr9CjsgcXH3UxNVU1XDbiMvr37F/sMiWpQ7SpuRURBwCfAoY331dK6a/bVpakruyzn4X/+I+ttw5ubAQGLKZu8K189NEMTfOeAmDsIWP5/gXfZ/zo8Qwb6EzwktQezF9SednVNAzNXx80KL9sxYr8ut/5TmL0+X/ZcmOehW8vpHtFdy486kJuOu8mLj/mcvbptU9x/mDSXsYpVYqrrR9LvAN4DPgT0Nj2ciR1Vc1Ham3RfwmMmgxjMjD0CQCalh7PwOnfZfpvxnPkoCOLU6wklTfzl1QmJk7c9m51dXX555D/pXj715cvB0hw0IvUHZnlo9OzpPnz6FbRjfce8V6+fvbXueKYK9i3977F+ONIe61d/Syr47V1QvnnU0rHtWM9LXIyU6m4tvnHuu/rMHoyVGVg2GMQCV5/F+Sq81/LRxABTU3FrlpSKSmXyUw7Q2flLzCDSR1t+PDtLhwWDBsGCxdu9/oBufwFxaos7D8bmirh5fMYtLSaOXdcxX599uu8wiVtY1c/y11ZuWSwto7cujMiLkkp3d0u1Ugqmp0No/2Hb71J/ajJ+TA1/GGoaII3RsHDX883tN4ctc2+hg7t/PolaS9i/pLKxKJFO19et3YWnJ3NX1Q8sBaaKqDubPjzF2DmB6D+AN4K2K9P59Us6Z129bOsjtfW5tZ1wFcjYgOwCQggpZQGtLkySZ2mpWG0n/r8Ch5edRuL+mdZ/MEHoKIR3hwBj92Yb2gtqyL/I7+tPn3yjTFJUocxf0llYujQFkZ7DJrHPqdnePd/ZOHaFyEF1J0Jd/0bzBwHaw5+xz4kFVeLP8v489mZ2nq3RG+3IZWBG28sNLZ6vQ3H3AFjMqw74n5+uayBIzYdwYCXvsyq/6uB14+lpYbWZpvvlujnyiWp45i/pPJx002FC4w9Xs6PkB+TgcF/4W1gdI/T+Mj+N3Prt8axftmhLW7vRUWpa9jys1y/dZk/n51rj5pbETEypTQrIk5o6fWU0nNtK0tSZ1m1YRV1+0yFD2XhyHuh20Z4exg8+QXI1TBv8Qn8fr9gwr3Q7N9qIvJ3S7ShJUmdw/wllZdFKxex9PAsB/9TlgUbngGgx7JTuHq/H/K9j4znsH0OA+DCgTu+W6IZTOoaNv8cerfE4tmjCeUj4paU0oSIeKiFl1NK6by2l7aVk5lK7WvNxjVMmz2NbG2We+bew4bGDbByyNZJ4V89GYhtJkD01raSOlK5TGbakTo7f4EZTGpvi1ctZlLtJDK5DE8ufhKAEwefSE1VDeOrxjN84PDiFihpr1MuGWyPRm6llCYUvp/bvuVI6ij1m+q5a85dZHIZ7pp7F+sb1jO432A+feKnGfhqDd//1/ewrr5iy/rbD6O95hqbWZJUTOYvqTQtXb2USbWTyNZmeXzR4wAcd/Bx/PN5/8z4qvEcNeioIlcoSaWvrRPKS+oCdjSqat2mdfxx3h/J5DJMmzON+k31HNT3ID55/CeprqrmjKFnUBH5htaI3o7MkiRJag/L1i5jcu1kMrkMj9Y9SiIx5sAxfPvcbzN+9HiO2f+YYpcoSWXF5pZUojY3tOrqts5/BVC3eAN//a/38u+vZXhx41TWbFzD/n325yPHfoSaqhrOGnYWlRWV79ifI7MkSZL23Jv1bzJl5hSyuSwPLXyIptTEyP1H8rWzv0Z1VTWjDxhd7BIlqWzZ3JJK0MSJ296NI1VshCPuz99lZ+TtbOy1iiffHMRfn/pBqquqOffwc+lW4Y+7JElSe1qxbgW3z7qdTC7DAwseoDE1cvSgo/nqGV+luqqaMQeOIWLHd5qWJLWPNv22GxEPpJTO39UySe3rxhuhfv0mOPLBfENr1G3Q+y1YNxBmjoNcNU0vn89/NnQvdqmSpHZm/pKKa+X6ldw+63aytVnun38/m5o2ccS+R/Cl075EzZga3n3Qu21oSVIn26PmVkT0AvoA+0fEvsDmf70HAIe2U22SttPQ1MAjCx+h7tgM1EyBPsthQ3+YdWX+Lofz3weNPQAYNqzIxUqS2pX5SyqeVRtWMW32NDK5DPfOv5eNjRsZts8wrn/P9VRXVXPi4BNtaElSEe3pyK1PA9cDhwDPsjVcrQL+rR3qklTQ2NTIY4seI5vLMnnmZJatXUYc25c063KYUQPzL4SGXttss/2dDiVJZcH8JRXs6GY67WnNxjXcOedOsrksd8+9mw2NGzi0/6Gc1+9vef5/aqh77mR+PSj4NbBihTfkkaRi2qPmVkrpZuDmiPhcSulnrdk2Ig4DfgscBCTglsL+pL3W9gHt299pYviZT5DNZZk0cxKvrXmNPt37cNmIy6geXc2qZy/h2h/33jLnFmydVH7YMIOVJJWjtuQvMIOpfGw/92hdXf45tD3/1G+q5+65d5PJZbhrzl2sa1jHwf0OZsKJE6ipqmHBo6fymU9XbDn28uVbt23POiRJrRNp8y3W9nQHEacBw2nWKEsp/XYn6w8GBqeUnouI/uSvPF6ZUqrd0TZjx45N06dPb1OdUle1NaAlGPIkVGWJMbeS+r9Kr269uOToS6ipquHSoy+lb4++22zX0VcsJamzRMSzKaWxxa6jVLQ2fxW2MYOpLAwfnm8kbW/YMFi4sPX7W9+wnnvm3kO2Nsu02dNYu2ktB/Y9kKtHXU11VTVnDD1jy52md3Ts9qhDkoqhXDJYWyeU/x1wJPA80FhYnMhfFWxRSmkpsLTweHVEzCQ/T8QOg5VUrlJK/N2Pp1N/RgZG3woDF0FDD9K8i9n/9X9lwT3vp3/P/i1ue801NrMkaW+0J/kLzGAqH4sWtW55SzY0bOC++feRyWWYOnsqqzeuZv8++/NXx/4V1VXVnD3s7C0NrdYeozV1SJLaR5uaW8BYYHTaw+FfETEcOB54qo11SF1SS6OrPvzhxF9e+wvZXJZsLstr738ZGrvnJ4N/8Dsw+3LYsA/LA/r3LPafQJLUBbUpf4EZTKVt6NCWR08NHbrz7TY2buRPC/5ENpfl9lm3s3LDSvbttS/VVdXUVNVw7uHn0q1i578e7ejYralDktT+2trcmgEcTOEqYGtERD9gMnB9SmlVC69PACYADPV/CJWgbeeDSNStf4mP/y7DDXVZXt80j24V3XjvEe9l1bR/YvkTV8L6fbfZ3r/2kqQd2OP8BWYwlb6bbtp2zi3Y8c10NjVu4qGFD5GZkeG2Wbfx1vq32KfnPlw16iqqR1dz/hHn06OyR5uO3Zw39ZGk4mhrc2t/oDYingY2bF6YUrp8ZxtFRHfyoWpiSmlKS+uklG4BboH8fA9trFPqMDua++rGG6G+bw5OzsKYDOw/m4amSlYuPI///Mzfc9XIq9ivz35MBCb8GZpnJIORJGkn9ih/gRlM5WHztAw7mnu0oamBRxY+suVO08vXLad/j/5cMfIKaqpquOCIC+jZbc+Gx29/7EGD8s+9W6IkFVebJpSPiLNbWp5SemQn2wTwG2BFSun63TmOk5mqq/rsZ+E//iN/l8LNeg2ZzaVfzjB5VhYOzEEKWHgO5Kqhdhyx7gCamrbdj5PDS9rblctkpp1hT/JXYTszmMpWY1Mjjy96nEwuw+SZk1m2dhl9u/fl/ce8n5qqGi466iJ6detV7DIlqcsplwy2xyO3IqIS+EZK6dxWbno68BHgpYh4vrDsqymlu/e0FqkYJk5s1tgaNA+qslCVYf3BLzJ5edCz6Qw23PVvMHMcrDl4y3ZDh71zX04OL0naHW3IX2AGU5lpSk38+ZU/k8llmFQ7iaVrltK7W28uG3EZNVU1XHz0xfTp3qfYZUqSOsEeN7dSSo0R0RQR+6SUVrZiu8eB2NPjSl3Fl7/7Mum0bL6pdchz+YWLToN7fgIzr+ZX/34oE367e/NBSJK0O/Y0fxW2NYOp5KWUeOrVp8jMyHBr7a28uvpVelb25JKjL6GmqobLRlxG3x59i12mJKmTtXXOrTXkr/7dD6zdvDCl9Pk27lfqErb/uOAXvrGIhhG3ksllWDL+mfxKi0+Ge38ItVfDyvzEu8OG7Xo+CEmS9pD5S3uVlBLTl0zP32m6NsuilYvoUdmDi466iH8Z/S9cfszl9O/Zv9hlSpKKqK3NrSmFL6nkbd/IuuQS+M1voL7yVTjlVuqqslxf92eogxMHn8jAZ/6Ft5+ohreHb7OfiK2js/y4oSSpA5i/VPZSSjz/2vNbGloL3lpA94ruvO/I9/Htc7/NFcdcwT699il2mZKkLqJNza2U0m/aqxCpmLafGL5u+VJ+8exkqMnAsMfzC197N/zpnznk7fFMf+koJvaFCQ9te5fDCPjMZ2xoSZI6jvlL5SqlxEvLXso3tHJZ5q6YS2VU8t4j3suNZ97IVSOvYt/e+xa7TElSF9Sm5lZEHA18FxgNbLn9SErpiDbWJXWaLRPD91kGoybDmAwMexQiwetj4MFv5e90uPwYAJYWZivxY4eSpGIwf6nc1L5RS2ZGhmxtlllvzqIiKjh3+Ll86bQvcdWoq9i/z/7FLlGS1MW19WOJ/wV8HfgxcC7wCaCirUVJneXN+jf5/G9uI30kA8MfgoomeGMkPPK1fEPrjdHv2Gbo0K2P/dihJKkIzF8qebPfnL3lI4czls0gCM4efjbXnXIdHxj1AQ7se2CxS5QklZC2Nrd6p5QeiIhIKdUB34iIZ4GvtUNtUod4a91b3DbrNrK5LH9a8CcaT2+E5UfB41+BGTWwbAybbyYVsfWjiuDdDiVJXYL5SyVp/or5ZHIZsrksL7z+AgBnDD2Dn138M64efTUH9zu4yBVKkkpVW5tbGyKiApgbEdcCrwL92l6W1L5Wrl/JHbPvIJPLcP/8+9nUtInDBx7Ol077Er/5cjVL/3Ic298dffP8WXff7ccOJUldivlLJWPh2wu3zKH17NJnATh1yKn8+MIfM370eA4dcGiRK5QklYO2NreuA/oAnwe+TX5o/MfaWpTUHlZvWM3U2VPJ1mb547w/srFxI0P3Gcp1p1xHzZgaThx8IhHBmBtgwgSobzYz/ObG1r//e/HqlyRpB8xf6tJeWfnKlo8cPv3q0wCcdMhJ/OCCHzC+ajxD9xm6iz1IktQ6bb1b4jMAEdGUUvpE+5Qk7bm1G9dy55w7yeQy3D33bjY0buDQ/ofytyf9LdVV1Zxy6ClEbDtCy4nhJUmlxPylrmjJ6iXcmruVTC7Dnxf/GYATBp/A987/HtVV1Ry+7+FFrlCSVM7aerfEU4FfkR8KPzQi3g18OqX02fYoTtod9ZvquXvu3WRzWe6ccyfrGtZxcL+DmXDiBGqqajj1sFOpiJ3Ps+vE8JKkUmH+Ulfx2prXmFw7mUwuw+OLHieRePdB7+am825i/OjxHL3f0cUuUZK0l2jrxxJ/AlwITAVIKb0QEWe1uSppF9Y3rOeP8/5IJpdh2uxprN20lgP7HsgnjvsE1VXVnDH0DCorKotdpiRJHcH8paJZtnYZU2ZOIZPL8MjCR0gkqg6o4hvnfIPqqmpG7j+y2CVKkvZCbW1ukVJ6ZbuPeTW2dZ9SSzY0bOC++feRrc1yx6w7WL1xNfv13o9r3nUNNWNqOGvYWXSraPNfaUmSujzzlzrT8vrlTJk5hWxtlgdffpCm1MQx+x3DP531T1RXVVN1YFWxS5Qk7eXa2gl4JSJOA1JEdCc/wenMtpcl5W1s3MgDCx4gk8tw+6zbWblhJfv22pfqqmqqq6o5d/i5dK/sXuwyJUnqTOYvdbi31r3F7bNuJ1ub5U8L/kRDUwNHDTqKr5zxFaqrqnnXge96xzymkiQVS1ubW58BbgYOJX8b6vsA53tQmzQ0NfDgyw+SzWWZMnMKb61/i3167sOVI6+kpqqG8484nx6VPYpdpiRJxWL+UodYuX4lU2dPJZPLcN/8+9jUtInhA4dzw6k3UFNVw3EHH2dDS5LUJbX1bolvAttMwx0R15OfC0LabY1NjTxS9wiZGRmmzJrCm/Vv0r9Hf64YeQXVo6t535Hvo2e3nsUuU5KkojN/qT2t3rCaaXOmkc1luWfePWxs3MhhAw7j86d8npqqGsYeMtaGliSpy+uICYq+iOFKu6GxqZHHFz1ONpdl0sxJLFu7jL7d+/L+Y95PTVUNFx11Eb269Sp2mZIklQLzl3bb2o1ruXPOnWRrs9w9927WN6zn0P6H8tmxn6W6qppThpyyyztNS5LUlXREc8tLO9qhptTEn1/5M5lchkm1k1i6Zim9u/XmshGXUV1VzSVHX0Kf7n2KXaYkSaXG/KWdWrdpHXfPvZtMLsOdc+5kXcM6Du53MH9z/N9QM6aG0w47zYaWJKlkdURzK3XAPlVCJk6EG2+ERYtg6FD4zncSR53zFNlclltrb2XxqsX0rOzJJUdfQk1VDZeOuJR+PfoVu2xJkkqZ+UvvsL5hPffOu5dMLsPU2VNZu2ktB/Q5gI8f93Gqq6o5c+iZVFZUFrtMSZLabI+aWxGxmpZDVAC921SRStrEiTBhAtTXJzjkWepGZPjoc1nS/EX0qOzBRUddxPfO/x6XH3M5/Xv2L3a5kiSVDPOXdseGhg3cv+B+MrkMd8y6g9UbV7Nf7/348Ls+TE1VDWcPP5tuFR1xfVuSpOLZo//ZUkp2JfQOKSW+9MPnqT81C1VZGLQAGruR5r+P/V74NvPuupyBvQYWu0xJkkqS+Us7sqlxEw+8/ACZXIbbZt7Gyg0rGdhrIONHj6e6qprzDj+P7pXdi12mJEkdxss2apOUEjOWzSCTy5DNZVl6xVxoqoQF74XHboRZV8K6Sn02ogAAIABJREFUQawIGOjc8JIkSe2ioamBh15+iGwuy5RZU1ixbgUDeg7gqpFXUV1VzXuPeC89KnsUu0xJkjqFzS3tkdo3asnmsmRyGWa9OYuKqODc4eeyfNqXWPHEVVC//zbrDx1apEIlSZLKRGNTI4/WPUoml2HyzMm8Wf8m/Xr044pjrqC6qpoLj7yQnt16FrtMSZI6nc0ttWj7SeFvuglOumgOmRkZsrVZZiybQRCcPfxsPn/y5xk3ehwH9j2QiZUw4Qmob7avPn3y20uSJKl1mlITjy96nGwuy6TaSby+9nX6dO/D+0e8n5qqGi466iJ6d3fKNUnS3s3mlrbY3NCqq4MISAnYdz51h2X5yBMZ0rwXADhj6Bn87OKfMW7UOAb3H7zNPq65Jv99+8bY5uWSJEldRUsX87pCZmlKTTy5+EkyMzLcWnsrS9cspXe33lw64lKqR1dz6YhL6dO9T7HLlCSpy7C5JaD5XQ6BgQtJVYVJ4Q95FoD0yqns+9SPefEPVzNkwJCd7uuaa7pGMJQkSdqRbbIP+Yt7EybkHxcjx6SUePrVp8nmsmRrsyxetZielT25+OiLqamq4bIRl9GvR7/OL0ySpBJgc2svtf2VypW8Qv27b4WqDAx5Or/SqyfBvT+A2qth5TDeDhgyoLh1S5IktYcbb9za2Nqsvj6/vLOaWyklnlv63JYb89StrKN7RXcuOuoivnv+d7n8mMsZ0NPwJUnSrtjc2gttuVJZuQROvpW6qiwM/b/8i0tOgPu/B7lqePvwbbZzUnhJklQuFi1q3fL2klLihddfyI/QymWZ/9Z8ulV044IjLuCb53yTK0ZewcBeAzu2CEmSyozNrb3Ma2te4/O/m0x9TQaGPg6R4LVj4YGbIDceVhzd4nZOCi9JksrJ0KH5jyK2tLy9pZTIvZHbcmOeOcvnUBmVnH/E+XzljK9w1airGNR7UPsfWJKkvYTNrb3AG2vfYPLMyWRzWR6pe4SmU5tgWRU8/I38CK03R7a43eZJ5YcN6zoTrEqSJLWHm27ads4taP+LeTPfmEk2lyWTyzDzzZlURAXnDD+HG069gatGXsUBfQ9ov4NJkrQXs7lVppbXL+e2WbeRyWV46OWHaEyNHLPfMfzjmf/If36hmqUvVL1jm/32g379ut4dgyRJktpbR93hee7yuVvm0Hpp2UsEwVnDzuLak69l3KhxHNTvoLYXL0mStmFzq4y8te4tbp91O9naLH9a8Ccamho4ct8j+fvT/56aMTW868B3ERGM+FLLVypvvtlmliRJ2nu01x2eF7y1YMsIredfex6A0w87nZ9e9FPGjR7HIf0PaftBJEnSDtncKnEr169k6uypZHIZ7pt/H5uaNjF84HBuOPUGqquqOf7g44mIbbbpqCuVkiRJe4u6t+vyk8LXZpm+ZDoA7xnyHn70vh8xvmo8QwYMKXKFkiTtPWxulaDVG1Yzbc40srks98y7h42NGzlswGF8/pTPU1NVw9hDxr6jobW99rpSKUmStLd4ZeUrTKqdRCaX4alXnwJg7CFj+f4F32f86PEMGzisyBVKkrR3srlVItZuXMtdc+8ik8tw99y7Wd+wnkP7H8pnx36W6qpqThlyChVRUewyJUmSysqS1UuYVDuJbC7LE688AcDxBx/Pd8//LtVV1Ryx7xFFrlCSJNnc6sLWbVrH3XPvJlub5c45d1K/qZ6D+x3M3xz/N9SMqeG0w06zoSVJktTOXl/zOpNnTiaTy/BY3WMkEu868F1859zvML5qPCP2G1HsEiVJUjM2t7qAiRO3zn912OHrGffle3lt/wzT5kxjzcY1HNDnAD727o9RXVXNmUPPpLKistglS5IklZU31r7BlJlTyNZmeXjhwzSlJkbtP4qvn/11qquqGXXAqGKXKEmSdsDmVhE0b2YNGgQr12ykYdh9cGWWRcfcwY9fW0W/ZYP40HEfoqaqhrOHn023Ct8qSZKk9rRi3Qpum3kbmVyGB19+kMbUyIj9RnDjmTdSXVXNmAPHFLtESZK0G+yYdLKJE2HCBKhfvwmOfIDlVRkYeTv0fhvWDYTaqyFXzaDG87jl5e7FLleSJKmsvL3+bW6fdTvZXJb7F9xPQ1MDR+x7BF8+/cvUVNVw7EHH7vLGPJIkqWuxudWJGpoa+OLPH6L+/CyMmgJ9VsD6ATDrSsjVwIL3QmMPAF4xU0mSJLWLVRtWMXX2VDK5DPfOu5dNTZsYPnA4X3zPF6muquaEwSfY0JIkqYTZ3OpgjU2NPFr3KJlchskzJ/PmhW/Chn4w+wrIVcO8C6Gx5zu2Gzq0CMVKkiSViTUb1zBt9jSytVnumXsPGxo3MGTAED538ueoGVPDSYecZENLkqQyYXOrHW2eS6tuURMHnfQ4x34oy4sNk3h97ev06d6H9494Pw/+tIY3/nwRNPTe4X769IGbburEwiVJksrA2o1ruXvu3WRyGe6aexfrG9ZzSP9D+MzYz1BdVc17hrzHO01LklSGbG61k9/9TxOf+uaTbBiVgXGTeH3AEu5/szcnD7yUn11dzaUjLqVP9z5M3AATnoX6hq3b9ugB/fvDihX5EVs33QTXXFO8P4skSVKpWLdpHffMu4dsLsu0OdOo31TPQX0P4pPHf5KaqhpOH3q6DS1JkspcUZpbEXERcDNQCfwypfS9YtTRViklnn71abK5LDe/cCuNf/UKNPSEuRfDfTUw5zJeH9yP8X+3dZvNTavNd0u0mSVJkjpLuWSwDQ0buHf+vWRyGabOnsqajWvYv8/+fPTYj1JdVc1Zw86isqKy2GVKkqRO0unNrYioBH4OXAAsBp6JiKkppdrOrmVPpJR4bulzZHIZsrksdSvr6F7RncZXL4LcP8Psy2HDgC3rL1r0zn1cc43NLEmS1LlKPYNtbNzI/fPvJ1ub5fZZt7NqwyoG9R7EB6s+SM2YGs4Zfg7dKvxQgiRJe6NiJICTgXkppQUAEfEH4AqgywarlBIvvP4C2VyWbC7L/Lfm062iGxcccQHfPOebXDHyCo4bOZC6undu68TwkiSpiyi5DLapcRMPvvwgmVyG22bdxtvr32Zgr4GMGzWO6qpqzj/8fLpXdi92me1m8/ytju6XJKl1itHcOhR4pdnzxcApRahjl2Ysm0FmRoZsbZY5y+dQGZWcf8T5fOWMr3DlyCvZr89+W9a96SaYMAHq67du78TwkiSpCymJDNbQ1MDDCx8mm8syZeYUlq9bTv8e/bly5JXUVNVwwZEX0KOyR7HLbHcTJ26bJevq8s/BBpckSbvSZcduR8QEYALA0E4c/jTzjZn5EVq1WWrfqKUiKjhn+DnccOoNXDXyKg7oe0CL2zmXliRJKgfFyGCNTY08tugxMjMyTJ45mTfq36Bfj35cfszlVI+u5sKjLqRXt16dUkux3HjjthdJIf/8xhvNk5Ik7UoxmluvAoc1ez6ksGwbKaVbgFsAxo4dmzqyoLnL526ZQ+ulZS8RBGcOO5OfX/Jzxo0ax0H9Dtqt/TiXliRJ6sK6VAZrSk08segJsrksk2ZO4rU1r9Gnex8uG3EZNVU1XHzUxfTu3rujDt/ltDRP686WS5KkrYrR3HoGODoiDicfqD4IfLgIdXDzkzfz3y/8N8+/9jwApx92Oj+96KeMGz2OQ/ofUoySJEmSOkqXyGBvr3+bbzz8DW6tvZUlq5fQq1svLj36Uqqrqrn06Evp26NvZ5fUJQwdivO3SpK0hzq9uZVSaoiIa4F7yd+G+tcppVxn1wHwxCtP0KtbL370vh8xvmo8QwYMKUYZkiRJHa6rZLC+3ftya+2tnHTISdRU1XDZiMvo37N/Z5fR5Th/qyRJe64oc26llO4G7i7GsZub+IGJZXWHHUmSpJ3pChmse2V3Fl630Ay2HedvlSRpz3XZCeU7g6FKkiSp85nBWub8rZIk7ZmKYhcgSZIkSZIk7SmbW5IkSZIkSSpZNrckSZIkSZJUsmxuSZIkSZIkqWTZ3JIkSZIkSVLJsrklSZIkSZKkkmVzS5IkSZIkSSXL5pYkSZIkSZJKls0tSZIkSZIklSybW5IkSZIkSSpZNrckSZIkSZJUsmxuSZIkSZIkqWTZ3JIkSZIkSVLJsrklSZIkSZKkkmVzS5IkSZIkSSXL5pYkSZIkSZJKls0tSZIkSZIklSybW5IkSZIkSSpZNrckSZIkSZJUsmxuSZIkSZIkqWRFSqnYNexSRLwB1BWxhP2BN4t4/FLiuWodz1freL52n+eqdTxfrdMR52tYSumAdt6n2qjIGcyfy9bxfLWO52v3ea5ax/PVOp6v1jGD7UBJNLeKLSKmp5TGFruOUuC5ah3PV+t4vnaf56p1PF+t4/lSZ/DvWet4vlrH87X7PFet4/lqHc9X63i+dsyPJUqSJEmSJKlk2dySJEmSJElSybK5tXtuKXYBJcRz1Tqer9bxfO0+z1XreL5ax/OlzuDfs9bxfLWO52v3ea5ax/PVOp6v1vF87YBzbkmSJEmSJKlkOXJLkiRJkiRJJcvm1k5ExEURMTsi5kXEPxS7nq4sIn4dEcsiYkaxaykFEXFYRDwUEbURkYuI64pdU1cVEb0i4umIeKFwrr5Z7JpKQURURsRfIuLOYtfS1UXEwoh4KSKej4jpxa6nK4uIgRExKSJmRcTMiDi12DWpPJnBdp8ZbPeZv1rHDNZ65q/WMYPtPjPYrvmxxB2IiEpgDnABsBh4BvhQSqm2qIV1URFxFrAG+G1KaUyx6+nqImIwMDil9FxE9AeeBa7079c7RUQAfVNKayKiO/A4cF1K6ckil9alRcQXgbHAgJTSZcWupyuLiIXA2JTSm8WupauLiN8Aj6WUfhkRPYA+KaW3i12XyosZrHXMYLvP/NU6ZrDWM3+1jhls95nBds2RWzt2MjAvpbQgpbQR+ANwRZFr6rJSSo8CK4pdR6lIKS1NKT1XeLwamAkcWtyquqaUt6bwtHvhy678TkTEEOBS4JfFrkXlIyL2Ac4CfgWQUtpoqFIHMYO1ghls95m/WscM1jrmL3UUM9jusbm1Y4cCrzR7vhj/81MHiIjhwPHAU8WtpOsqDPF+HlgG3J9S8lzt3E+ALwNNxS6kRCTgvoh4NiImFLuYLuxw4A3gvwofufhlRPQtdlEqS2YwdTjz1+4xg7WK+av1zGC7xwy2G2xuSUUUEf2AycD1KaVVxa6nq0opNaaUjgOGACdHhB+72IGIuAxYllJ6tti1lJAzUkonABcDf1v4iI/eqRtwAvCLlNLxwFrAuZAklRzz1+4zg+0e89ceM4PtHjPYbrC5tWOvAoc1ez6ksExqF4W5CyYDE1NKU4pdTykoDL99CLio2LV0YacDlxfmMPgDcF5E/E9xS+raUkqvFr4vA24j/5EovdNiYHGzq/aTyActqb2ZwdRhzF97xgy2S+avPWAG221msN1gc2vHngGOjojDCxO2fRCYWuSaVCYKE3T+CpiZUvpRsevpyiLigIgYWHjcm/wEw7OKW1XXlVL6SkppSEppOPl/tx5MKf1VkcvqsiKib2FSYQrDu98HeMexFqSUXgNeiYhjCovOB5yEWR3BDKYOYf5qHTPY7jN/tZ4ZbPeZwXZPt2IX0FWllBoi4lrgXqAS+HVKKVfksrqsiPhf4Bxg/4hYDHw9pfSr4lbVpZ0OfAR4qTCPAcBXU0p3F7Gmrmow8JvC3bMqgGxKydsrq70cBNyW/32HbsDvU0p/LG5JXdrngImFhsMC4BNFrkdlyAzWOmawVjF/tY4ZTB3JDNY6ZrBdiJS84YUkSZIkSZJKkx9LlCRJkiRJUsmyuSVJkiRJkqSSZXNLkiRJkiRJJcvmliRJkiRJkkqWzS1JkiRJkiSVLJtbUgeLiCERcUdEzI2I+RFxc+EWrjvbZmBEfLbZ80MiYlI71fONiPi7FpZ/JiI+2sp9PRwRY/ewjv/bk+3aw+4cOyKuj4g+HVjD2Ij4aeHxORFxWrPXWv1eSJKkbZnBdritGcwMJpWdSCkVuwapbEVEAE8Bv0gp/VdEVAK3ACtSSl/ayXbDgTtTSmM6oKZvAGtSSj9oh309DPxdSml6W/fV1UTEQmBsSunNTjjWN2in90SSJJnBSpkZTNKecOSW1LHOA9anlP4LIKXUCHwB+OuI6BMRHy9cUXy4cFXx64XtvgccGRHPR8T3I2J4RMwAKGxze0TcHxELI+LaiPhiRPwlIp6MiEGF9T4VEc9ExAsRMXlXV8CaX00s1PMvEfF0RMyJiDMLy3tHxB8iYmZE3Ab0brb9mmaPr46I/y48PigibivU8cLmq2Ob1y9cMXs4IiZFxKyImFgIpETEJYVlz0bETyPizhbq3tE5pHBeZhS+rt++1h0dOyI+DxwCPBQRD7VwzIUR8a8R8VLhHB1VWD48Ih6MiBcj4oGIGFpYPr5QwwsR8WizY99ZCNGfAb5QeL/P3O69OK7wvr5YOI/77uw9kiRJgBnMDIYZTNqb2NySOlYV8GzzBSmlVcAi4KjCopOBccCxwPjIDzH/B2B+Sum4HVxdHAN8ADgJuAmoTykdD/wZ2DyUekpK6aSU0ruBmcAnW1l7t5TSycD1wOaw8v8VjjWqsOzE3djPT4FHCnWcAORaWOf4wnFGA0cAp0dEL+D/ARenlE4EDtjJMd5xDiPiROATwCnAe4BPRcTxu3PslNJPgSXAuSmlc3dwzJUppXcB/wb8pLDsZ8BvUkrHAhMLf3aArwEXFs7B5c13klJaCPwH8OPC+/3Ydsf5LfD3hX2+xNb3Alp+jyRJkhkMzGBgBpP2Gja3pOK7P6W0PKW0DpgCnLEb2zyUUlqdUnoDWAlMKyx/CRheeDwmIh6LiJeAa8iHvNaYUvj+bLN9ngX8D0BK6UXgxd3Yz3nALwrbNKaUVrawztMppcUppSbg+cLxRgILUkovF9b5350co6VzeAZwW0ppbUppTWF5S1fWWjr27vjfZt9PLTw+Ffh94fHv2PpePgH8d0R8Cqjczf0TEfsAA1NKjxQW/Yb8e7BZS++RJEnaPWYwM1iLzGBS6bG5JXWsWra7shYRA4ChwLzCou0nvtudifA2NHvc1Ox5E9Ct8Pi/gWsLV7a+CfTa7aq3PUZjs33uTPO69/RYrTnejo7d0vOOOHbaweN3rpjSZ4B/BA4Dno2I/VpR38609j2SJGlvYQZr3bFac7wdHbul5x1xbDOYpHewuSV1rAeAPlG460rkJzP9IfDfKaX6wjoXRMSgiOgNXEn+CtNqoH8bj90fWBoR3clfNWwPjwIfBoiIMeSHoG/2ekSMiogK4Kpmyx8gP5SeiKgsXAnbHbOBIwrzIQDU7GTdls7hY8CVkZ9Xo2+hpu2Hm+/Mrt6Dmmbf/1x4/H/ABwuPr9l8vIg4MqX0VErpa8Ab5APWLo9VuML6VrO5HD4CPLL9epIk6R3MYGYwM5i0F7G5JXWglL8d6VXk5yCYC8wB1gNfbbba08Bk8sPLJ6eUpqeUlgNPFCbA/P4eHv6fyN8l6Alg1p7+GbbzC6BfRMwEvsW2c1n8A3An+XCxtNny64BzC0PznyU/r8IuFYa3fxb4Y0Q8Sz58tDScHlo+h8+Rv3L6NPnz8MuU0l9259gFtxSO/Y7JTAv2jYgXyf/5vlBY9jngE4XlHym8BvD9wsSnM8ifnxe229c04KrNk5lu99rHCtu/CBxH/rxLkqSdMIMBZjAwg0l7jcj/uy+pGCLi4+RvdXxtsWvpiiKiX0ppTUQE8HNgbkrpx9ut83E6+RxGJ96iWpIktT8z2M6ZwSSVGkduSerKPhURz5O/u88+5O/cI0mSpI5lBpNUUhy5JUmSJEmSpJLlyC1JkiRJkiSVLJtbkiRJkiRJKlk2tyRJkiRJklSybG5JkiRJkiSpZNnckiRJkiRJUsmyuSVJkiRJkqSSZXNLkiRJkiRJJcvmliRJkiRJkkqWzS1JkiRJkiSVLJtbkiRJkiRJKlk2tyRJkiRJklSybG5JkiRJkiSpZNnckiRJkiRJUsmyuSVJkiRJkqSSZXNLkiRJkiRJJavDmlsRcVhEPBQRtRGRi4jrCsu/ERGvRsTzha9LOqoGSZJUPiLiooiYHRHzIuIfdrBOdbPs8ftmyz8WEXMLXx/rvKo7nxlMkiS1p1LIYJFS6pgdRwwGBqeUnouI/sCzwJVANbAmpfSDDjmwJEkqOxFRCcwBLgAWA88AH0op1TZb52ggC5yXUnorIg5MKS2LiEHAdGAskMhnkhNTSm919p+jM5jBJElSeymVDNZhI7dSSktTSs8VHq8GZgKHdtTxJElSWTsZmJdSWpBS2gj8Abhiu3U+Bfx8c2BKKS0rLL8QuD+ltKLw2v3ARZ1Ud6czg0mSpHZUEhmsU+bciojhwPHAU4VF10bEixHx64jYtzNqkCRJJe1Q4JVmzxfzzobNCGBERDwREU9GxEWt2LYsmcEkSVIblUQG69YRO20uIvoBk4HrU0qrIuIXwLfJD0n7NvBD4K9b2G4CMKHw9MQ+ffp0dKmSJKlI6uvrE/Bcs0W3pJRuaeVuugFHA+cAQ4BHI+Jd7VNh6TGDSZKkXSmXDNahza2I6E4+VE1MKU0BSCm93uz1/wTubGnbwsm8BaBv375p7dq1HVmqJEkqoohYl1Iau5NVXgUOa/Z8SGFZc4uBp1JKm4CXI2IO+aD1Kvmw1Xzbh9tac1dmBpMkSbujXDJYR94tMYBfATNTSj9qtnxws9WuAmZ0VA2SJKlsPAMcHRGHR0QP4IPA1O3WuZ1CgIqI/ckPkV8A3Au8LyL2LXwU732FZWXJDCZJktpRSWSwjhy5dTrwEeCliHi+sOyrwIci4jjyQ+IXAp/uwBokSVIZSCk1RMS15ANRJfDrlFIuIr4FTE8pTWVrgKoFGoEvpZSWA0TEt8mHM4BvpZRWdP6fotOYwSRJUrsolQwWKaWO2G+7cki8JEnlLSLqU0p9i12HtmUGkySpvJVLBuuUuyVKkiRJkiRJHcHmliRJkiRJkkqWzS1JkiRJkiSVLJtbkiRJkiRJKlk2tyRJkiRJklSybG5JkiRJkiSpZNnckiRJkiRJUsmyuSVJkiRJkqSSZXNLkiRJkiRJJcvmliRJkiRJkkqWzS1JkiRJkiSVLJtbkiRJkiRJKlk2tyRJkiRJklSybG5JkiRJkiSpZNnckiRJkiRJUsmyuSVJkiRJkqSSZXNLkiRJkiRJJcvmliRJkiRJkkqWzS1JkiRJkiSVLJtbkiRJkiRJKlk2tyRJkiRJklSybG5JkiRJkiSpZNnckiRJkiRJUsmyuSVJkkpCRFwUEbMjYl5E/EMLr388It6IiOcLX3/T7LXGZsundm7lkiRJpasUMli3jtqxJElSe4mISuDnwAXAYuCZiJiaUqrdbtVMSunaFnaxLqV0XEfXKUmSVE5KJYM5ckuSJJWCk4F5KaUFKaWNwB+AK4pckyRJUrkriQxmc0uSJJWCQ4FXmj1fXFi2vXER8WJETIqIw5ot7xUR0yPiyYi4skMrlSRJKh8lkcFsbkmSpK6gWyH4bP6asAf7mAYMTykdC9wP/KbZa8NSSmOBDwM/iYgj26FmSZKkUlcWGazDmlsRcVhEPBQRtRGRi4jrtnv9hohIEbF/R9UgSZJKRkNKaWyzr1u2e/1VoPlVwCGFZVuklJanlDYUnv4SOLHZa68Wvi8AHgaOb+f6uwwzmCRJaoWyyGAdOXKrAbghpTQaeA/wtxExGvKhC3gfsKgDjy9JksrHM8DREXF4RPQAPghsc8ediBjc7OnlwMzC8n0jomfh8f7A6cD2k6CWEzOYJElqLyWRwTrsbokppaXA0sLj1RExk/znMmuBHwNfBu7oqONLkqTykVJqiIhrgXuBSuDXKaVcRHwLmJ5Smgp8PiIuJ9/cWQF8vLD5KOD/RUQT+Qt732vhDj9lwwwmSZLaS6lksEgpdcR+tz1IxHDgUWAMcC5wXkrpuohYCIxNKb25s+379u2b1q5d29FlSpKkIomI+pRS32LXUW7MYJIkaWfKJYN12MitzSKiHzAZuJ58F++r5IfD72q7CcAEgB49enRIbdf/8Xqef+35Dtm3JEnl5riDj+MnF/2k2GVoN3XVDNbQ1ED3b3dv9/1KXdm1J13Lzy75WbHLkKSy1aHNrYjoTj5UTUwpTYmIdwGHAy9EBOQnInsuIk5OKb3WfNvCJGa3QP6qYUfWKUmSVE66cgYLgq+d9bX23q3UZU2bM42pc6ba3JKkDtRhH0uMfHL6DbAipXT9DtZZiEPiJUna65XLkPiuwAwmdS0/+L8f8KX7v8Trf/c6B/Y9sNjlSNI2yiWDdeTdEk8HPgKcFxHPF74u6cDjSZIkyQwmdSljDxkLwLNLni1yJZJUvjrybomPA7GLdYZ31PElSZL2RmYwqWs5YfAJAExfMp2Lj764yNVIUnnqyJFbkiRJkrRXG9BzAMfsdwzTl04vdimSVLZsbkmSJElSBxp7yFg/lihJHcjmliRJkiR1oBMHn8irq19l6eqlxS5FksqSzS1JkiRJ6kBbJpVf6ugtSeoINrckSZIkqQMdP/h4gmD6EufdkqSOYHNLkiRJkjpQvx79GHXAKJtbktRBbG5JkiRJUgcbe8hYpi+ZTkqp2KVIUtmxuSVJkiRJHWzs4LG8vvZ1lqxeUuxSJKnsdCt2AZIkScUWwTRgh8MpUuLyTixHUhnaPKn89CXTOXTAoUWuRpK6hvbKYI7ckiRJgh8APwReBtYB/1n4WgPML2JdksrEuw9+N5VR6bxbkrStdslgjtySJEl7vZR4BCCCH6bE2GYvTYvA30QltVmf7n0YfcBopi/1nxRJ2qy9MpgjtyRJkrbqG8ERm59EcDjQt4j1SCojTiovSTvUpgzmyC1JkqStvgA8HMECIIBhwITiliSpXIw9ZCz/9fx/sWjlIoYNHFbsciSpK2lTBrO5JUmSVJASf4zgaGBkYdGu+gUqAAAgAElEQVSslNhQzJoklY/Nk8o/u/RZm1uS1ExbM5jNLUmSpIIIugOfBs4qLHo4gv+XEpuKWJakMnHsQcfSraIb05dM5wOjPlDsciSpy2hrBrO5JUmStNUv+P/Zu/M4yerq/v+vM3vTDDCt7KCAgmZEEBgxRqJEQXGDRI3BJQEkEo1EjUa/GI2Vxl9+cSVfNLiMSwSDogLqoEZEAZdEkBlEgSHIHlkMyHQPMAtMz5zvH3WbqWl6qe7qqlu3+/X0UY+qe+veuqfvDD1vT33u58J84JPF8p8X6/6ytIokzRiL5i3i6bs83TsmStJjtZTBbG5JkiRt9cxMDm5YvjSCX5ZWjaQZZ9keyzh/9flkJhFRdjmS1C1aymDeLVGSJGmrzRE8aXihuGvP5hLrkTTDHLb7YQxsHOC2wdvKLkWSuklLGczmliRJqoSIOCYiboyImyPitFHePzEi7ouIa4rHXza8d0JE3FQ8ThjnMO8CLovg8gh+BFwKvHP6fxpJs9XwpPJemiipKqqQwbwsUZIkdb2ImAucBRwN3AlcFRErMnP1iE2/mpmnjti3D6gBy4AEVhX7Dow8TiY/LO7U85Ri1Y3eLVHSdDpwlwNZMHcBq+5exauf9uqyy5GkcVUlg9nckiRJVXA4cHNm3goQEecBxwEjg9VoXgRckplrin0vAY4BvjJyQ++WKKndFs5byEG7HsTKexy5JakSKpHBvCxRkiRVwZ7AbxqW7yzWjfTKiPhVRJwfEXtPcl+o35XnMOp36vlk8fpTrRQuSSMt230Zq+5exZbcUnYpkjSRSmQwR25JkqRuMC8iGocxLM/M5ZP8jIuAr2TmwxHxV8DZwPMn+RneLVFS2y3bYxmfXvVpbllzC/s/bv+yy5E6assW+NjH4He/K7uS6jjkEDj++LZ9/IzIYDa3JElSNxjKzGXjvH8XsHfD8l7Fukdl5v0Ni58DPtyw75Ej9r18jONsjuBJmdwC3i1RUns0Tipvc0uzzQ03wLvfDfPnw9y5ZVdTDccf39bm1ozIYDa3JElSFVwF7B8R+1IPSscDr23cICJ2z8x7isVjgRuK1xcD/39ELCmWXwi8Z4zjDN+p51YggCcCJ03bTyFJwNKdl7Jo3iJW3r2S1zz9NWWXI3XUmjX15+98B44+utxa1JRKZDCbW5Ikqetl5lBEnEo9JM0FvpCZ10fE6cDKzFwBvDUijgWGgDXAicW+ayLiA9TDGcDpwxObPvY43i1RUvvNnzufg3c92EnlNSsNFPfJW7Jk/O3UHaqSwSIzp/DjdVZvb2+uW7eu7DIkSVKbRMT6zOwtuw6ACP4A2IeGLwEzOae0gkpkBpPa59TvnsrZvzybtaetZU54ny/NHuecAyecADfdBE9+ctnVaKZksLb9Fo2IvSPisohYHRHXR8TbivUfKGbQvyYivh8Re7SrBkmSpMmI4EvAR4EjgGcWj/Hmoeg6ZjCpGpbtsYyHHnmIX9//67JLkTrKkVsaTasZrJ2XJQ4B78zMqyNiMbAqIi4BPpKZ/wAQEW8F3g+8qY11SJIkNWsZsDST7h/aPjYzmFQBjZPKP/XxTy25GqlzhptbO+1Ubh3qOi1lsLaN3MrMezLz6uL1g9QnFNszMx9o2KwXKh0eJUnSzHIdsFvZRbTCDCZVw1Mf/1S2m78dK+923i3NLoODsMMO3ilRj9FSBuvIhPIRsQ9wCHBlsfxPwF8Aa4E/6kQNkiRJY4ngIurNnsXA6gh+DlsnMc3k2LJqa4UZTOpe8+bM45DdDrG5pVlnYMBRW9pqujLYhM2t6I/tgHcCT8havjH6Y3/gKVnLbzdXaGwPXAC8ffgbw8x8L/DeiHgPcCpQG2W/U4BTABYsWNDMoSRJkqbqo2UXMJIZTJr5lu2xjM9e/Vk2b9nM3DkOY9HsMDDgfFvaxrRksGZGbv0bsAp4drF8F/B1YMJgFRHzqYeqczPzwlE2ORf4LqMEq8xcDiyH+p16mqhTkiRpSjL5Udk1jMIMJs1wh+1+GGduOpP//t1/87RdnlZ2OVJH2NxSo+nKYM3MufWkrOWHgU0AWcv1QEy0U0QE8Hnghsw8o2H9/g2bHQf896QqliRJmmYR/LR4fjCCBxoeD0bwwET7t4kZTJrhGieVl2aLwUEvS9RW05XBmhm59Uj0Rw/FpKPRH0+i4frHcTwH+HPg2oi4plj398DJEfEUYAtwB96lR5IklSyTI4rnxWXX0sAMJs1wBzzuALZfsD0r717JCc84oexypI5w5JYaTVcGa6a59Y/A94C9oz/OpR6YTpxop8z8KaN/u/jdSdQnSZLUdhH0jfd+Jms6VUuDf8QMJs1oc+fM5dDdD2XlPY7c0uxhc0uNpiuDTdjcylp+P/pjFfD71IPS27KWv2uqSkmSpGpYRX2E1GhNoQT262w5ZjBptli2+zI+ufKTbNq8iflz55ddjtRWjzwC69d7WaK2MS0ZrJm7JV4EfBlYkbVcN5kKJUmSqiCTfcuuYSQzmDQ7LNtjGRuHNrL6vtUcvNvBZZcjtdXgYP3ZkVsaNl0ZrJkJ5T8K/CGwOvrj/OiPV0V/LJqOg0uSJHWTCCKC10fwD8XyEyI4vKRyzGDSLDA8qfyqe1aVXInUfgMD9WebWxqp1Qw2YXMra/mjrOVfUx8K9hng1cC9Uy1YkiSpi30SeDbw2mL5QeCsMgoxg0mzw5P6nsSOC3f0jomaFYZHbnlZokbRUgZrZkJ5ijv1vBz4M+BQ4OzJ1ShJklQJz8rk0Ah+AZDJQAQLyirGDCbNfHNiTn1SeZtbmgUcuaVxtJTBmplz62vA4dTv1vOvwI+yllumWq0kSVIX2xTBXOoTmBLBzkApuccMJs0ey/ZYxplXnsl7fvCeskuRWnbwbgdz/IHHj/qezS2No6UM1szIrc8Dr8labp5afZIkSZXxceAbwC4R/BPwKqjP/VACM5g0S7xk/5fwqZWf4owrzii7FKklQ1uG6JnXM2Zzy8sSNY6WMtiYza3oj+dnLS8FeoHjon/buzJmLS+cUrmSJEldKpNzI1gFvID6Lan/OJMbOlmDGUyafY7c50gefM+DZZchteyff/LP/P2lf8/GoY0smvfYe6A4cktjaTWDjTdy63nApdTneXjMcQGDlSRJmlEiODmTzwP/3bDug5mc1sEyzGCSpErq6+kDYGDDALsv3v0x7w8MwKJF9YfUqNUMNmZzK2tZK16enrW8bZuD9se+UylWkiSpy70ygo2ZnAsQwVlARyO4GUySVFXDza01G9aM2twaHHTUlsbUUgZrZs6tC6jfnafR+cBhTZcoSZJUDa8EVkSwBTgGGMzk5JJqMYNJkiplSU+9c7Vmw5pR3x8YcL4tjamlDDbenFtPBZ4G7Bj98YqGt3agw99gSpIktVMEfQ2Lfwl8E/hPoD+CvkxGT+ntqMUMJkmqqMaRW6MZGHDklrY1XRlsvJFbTwFeBuzEtnM+PAi8cXLlSpIkdbVV1OeziobnlxaPBPbrYC1mMElSJU3U3BochN0fe7WiZrdpyWDjzbn1LeBb0R/Pzlr+rOVyJUmSulQmXTOXlRlMklRVj04ov3Fg1PcHBuD3fq+TFanbTVcGm9PENm+K/nj0qtjojyXRH1+YjoNLkiQ1KyKOiYgbI+LmiBjzzjkR8cqIyIhYVizvExEbIuKa4vHpx+7D84vnV4z2aN9PNS4zmCSpUhYvWMzcmOtliTNMFTJYMxPKH5S1HBxeyFoORH8c0uwBJEmSWhURc4GzgKOBO4GrImJFZq4esd1i4G3AlSM+4pbMfMY4h3gecCnbXgY4LIELp1p7C8xgkqRKiQj6evpGbW5t2QJr19rcqpqqZLBmmltzoj+WZC0HAKI/+prcT5IkabocDtycmbcCRMR5wHHA6hHbfQD4EPCuyXx4JrXi+aTWS502ZjBJUuUs6VkyanPrgQcg07slVlAlMlgzAeljwM+iP75eLP8p8E+tHFSSJGmS9gR+07B8J/Csxg0i4lBg78z8TkSMDFb7RsQvgAeA92XmT7bdl3eMd/BMzphy5VNnBpMkVc5YI7cGimm4HLlVOZXIYBM2t7KW50R/rIT6dZDAK7KWIzt0kiRJrZgXESsblpdn5vJmd46IOcAZwImjvH0P8ITMvD8iDgO+GRFPy8wHGrZZPJWi28kMJkmqor6ePv73of99zHqbW11rRmSwZoe29wHrspb/Fv2xc/THvlnL26ajAEmSJGAoM5eN8/5dwN4Ny3sV64YtBg4ELo8IgN2AFRFxbGauBB4GyMxVEXELcADwaJDLpH9aforpZwaTJFVKX08fN9x3w2PWDxazSHpZYteZERlswrslRn/UgP8DvKdYNR/49+k4uCRJUpOuAvaPiH0jYgFwPLBi+M3MXJuZj8/MfTJzH+AK4NjMXBkROxeToRIR+wH7A7d2/keYHDOYJKmK+hb1MbBx4DHrHblVWZXIYBM2t4A/AY4F1gFkLe+mC4fuS5KkmSszh4BTgYuBG4CvZeb1EXF6RBw7we7PBX4VEdcA5wNvyszR71HeXcxgkqTK6evpY3DjIJu3bN5mvc2taqpKBmvmssRHspYZ/ZEA0R+97ShEkiRpPJn5XeC7I9a9f4xtj2x4fQFwQVuLaw8zmCSpcvp6+gAY3DjI47Z73KPrvSyxuqqQwZppbn0t+uMzwE7RH28E3gB8tr1lSZIkdd4Yd+xZC6zK5JoOl2MGkyRVzpKe+tCsNRvWbNPcGhiAuXNhsWOQNYpWM9iElyVmLT9KffjYBcBTgPdnLT8x2UIlSZIqYBnwJuq3vd4T+CvgGOCzEby7k4WYwSRJVTQ8cmvNhm2vPhsYqI/aqs85Lj1GSxmsqbslZi0vAS5poUhJkqQq2As4NJOHACKoAd+hPmfEKuDDnSzGDCZJqpqxmluDg863pXG1lMHGbG5Ff/w0a3lE9MeDQI6yyf3AR7KWn5xq5ZIkSV1mF4pbVhc2AbtmsiFim/VtYwaTJFXZcHNr5B0Th0duSWNoKYON2dzKWh5RPI96RWz0x+OA/wIMVpIkaaY4F7gygm8BAbwM+HIEvcDqThRgBpMkVdl4lyU6ckvjaCmDNXVZYvTHocAR1L89/GnW8hdZy/ujP44cc5+IvYFzgF2L/ZZn5pkR8RHg5cAjwC3ASZk52EwdkiRJ7ZTJByL4D+A5xao3ZbKyeP26TtdjBpMkVc1Oi+rDs0a7LPGJTyyjIlVBqxlswgnloz/eD5wNPA54PPDF6I/3AWQt7xln1yHgnZm5FPh94C0RsZT6vBEHZuZBwK+B90xUgyRJUgdtArYAm4vXpTCDSZKqaN6ceeywcIcxJ5SXxjHlDDZhc4t6h+yZWav/j3pI+vOJdsrMezLz6uL1g8ANwJ6Z+f3MHCo2u4L6pGGSJEmli+Bt1IfFP5763A//HsHflFSOGUySVEl9PX3bNLcyvSxR42s1gzVzWeLdwCJgY7G8ELhrckXGPsAhwJUj3noD8NXJfJYkSVIbnQw8K5N1ABF8CPgZ8IkSajGDSZIqaWRza8MG2LTJ5pbG1VIGG+9uiZ+gPk/DWuD66I9LiuWjgZ83W11EbA9cALw9Mx9oWP9e6sPmzx1jv1OAUwAWLFjQ7OEkSZJaEdSHwg/bXKzrXAFmMElSxY1sbg0UN070skSNo6UMNt7IreGJu1YB32hYf3nTlUXMpx6qzs3MCxvWn0h95vsXZOZot7gmM5cDywF6e3tH3UaSJGma/Rv1O/UMZ58/Bj7f4RrMYJKkSuvr6ePOB+58dHm4ueXILY2jpQw2ZnMra3n28OvojwXAAcXijVnLCSf2iogoCrkhM89oWH8M8G7geZm5vtlCJUmS2i2TMyK4nPodCgFOyuQXHa3BDCZJqri+RduO3Bos7s1rc0tjaTWDTTjnVnGr6bOB26kPCds7+uOErOWPJ9j1OdQnPb02Iq4p1v098HHqc0ZcUs9eXJGZb2q2YEmSpOkWQV/D4u3F49H3Mlkzcp+212QGkyRV1JKeJazZsIbMJCK8LFFjmq4M1syE8h8DXpi1vBEg+uMA4CvAYePtlJk/ZfTrI7/bTGGSJEkdtIr6vFbD2WX4crwoXu9XQk1mMElSJfX19DG0ZYiHHnmIxQsXe1mixjMtGayZ5tb84VAFkLX8dfTH/EkUKkmS1NUy2bfsGkZhBpMkVVJfT30wzpoNa1i8cLGXJWpM05XBmmlurYz++Bzw78Xy69g60akkSZLawwwmSaqkxubWE3d64qMjt3bcscSiNKM109x6M/AW4K3F8k+AT7atIkmSJIEZTJJUUY3NLajfLXHxYpjXTAdCmoIJ/2plLR8GzigekiRJ6gAzmCSpqoabWwMb60O2Bga8JFHtNafsAiRJkrpJBEdEcFLxeueIrpyPS5KkrjVy5NbgoM0tTayVDGZzS5IkqRBBDfg/wHuKVfPZOueVJElqwpJF9U5W42WJO+1UZkXqdq1mMJtbkiRJW/0JcCywDiCTu4HFpVYkSVLF9MzvYdG8Rds0txy5pQm0lMEmnHMr+uMA4F3AExu3z1o+f7KVSpIkdblHMskIEiCC3rIKMYNJkqqsr6fPyxI1GS1lsGbuVfB14NPAZ4HNk69PkiSpMr4WwWeAnSJ4I/AG6hmoDGYwSVJlNTa3vCxRTWgpgzXT3BrKWn5qqtVJkiRNh4g4BjgTmAt8LjM/OMZ2rwTOB56ZmSuLde8BTqbeJHprZl482r6ZfDSCo4EHgKcA78/kkmn/YZpjBpMkVdZwc2vTJli3zpFbVVaFDNZMc+ui6I+/Br4BPPzogWu5ptmDSJIktSIi5gJnAUcDdwJXRcSKzFw9YrvFwNuAKxvWLQWOB54G7AH8ICIOyMzHjIaK4B3AV0tsaDUyg0mSKquvp49bB25lcLC+bHOrmqqSwZqZUP4E6vM9/BewqnisnMrBJEmSpuhw4ObMvDUzHwHOA44bZbsPAB8CNjasOw44LzMfzszbgJuLzxvNYuD7EfwkglMj2HX6foRJM4NJkipryaIlrNmwhoGB+rKXJVZWJTLYhCO3spb7TuYDJUmS2mBP4DcNy3cCz2rcICIOBfbOzO9ExLtG7HvFiH33HO0gmfQD/REcBPwZ8KMI7szkqGn4GSbFDCZJqrLhyxKHm1uO3KqsSmSwZu6WOB94M/DcYtXlwGeylpuaOYAkSVIT5kVE46ik5Zm5vNmdI2IOcAZw4jTVcy/wW+B+YJdp+sxJMYNJkqqsr6eP9ZvWc+/9jwALbG51rxmRwZqZc+tTwHzgk8Xynxfr/nKSBUqSJI1lKDOXjfP+XcDeDct7FeuGLQYOBC6PCIDdgBURcWwT+z4qgr8GXg3sTP1uhW/MZPVo23aAGUySVFl9PX0A3Pm/64AFXpbYvWZEBmumufXMrOXBDcuXRn/8stkDSJIkTYOrgP0jYl/qoeh44LXDb2bmWuDxw8sRcTnwd5m5MiI2AF+OiDOoT2a6P/DzMY6zN/D2TK5py08xOWYwSVJlDTe37r5vA7DEkVvVVYkM1syE8pujP570aKH9sR/1WzhKkiR1RGYOAacCFwM3AF/LzOsj4vTim8Hx9r0e+BqwGvge8JaRd+mJYIfi5UeA/4mgr/Ex3T9Pk8xgkqTKGm5u1S9LdM6tqqpKBovMHH+D/ngB8G/ArUAATwROylpe1uxBWtXb25vr1q3r1OEkSVKHRcT6zOwt7/h8O5OXRXAbkNQzz7DMZL+O12QGkyRV2NX3XM1hyw/jT35zE/9x7pPZsKHsijSamZLBJmxuAUR/LASeUizemLV8eLIFt8JgJUnSzFZ2sOpWZjBJUlXdNnAb+318P577yxv59c8O4J57yq5Io5kpGWzMyxKjP55fPL8CeCnw5OLx0mKdJEnSjBLBD5tZ19YazGCSpBlg+LLEwUEvSdTEWs1g400o/zzgUuDlo7yXwIXNHkSSJKmbRbAI2A54fARL2Dokfgdgzw6XYwaTJFXeDgt3YG7M5YG1c9nD5pbGMF0ZbMzmVtayVrw8PWt52zYH7499J1euJElSV/sr4O3U7+Sziq3B6gHgXztZiBlMkjQTRARLepbw0Nr57LRb2dWoi01LBmvmbokXjLLu/GYPIEmS1O0yOTOTfYG/y2S/TPYtHgdndra51cAMJkmqtL6ePjY8tNDLEjWm6cpgY47civ54KvA0YMcR8zvsACyacuWSJEldKpNPRHAgsJSGvJPJOZ2qwQwmSZop+nr6uPWh7WxuaUKtZrDx5tx6CvAyYCe2nfPhQeCNky9VkiSpu0VQA46kHqy+C7wY+Cl0rrmFGUySNEPstKCPofW97LRT2ZWo27Wawcabc+tbwLeiP56dtfxZ66VKkiR1vVcBBwO/yOSkCHYF/r2TBZjBJEkzxWL2hJzjyC01o6UMNt7IrWG/iP54C/Xh8VuHhtXyDZOtVJIkqcttyGRLBEMR7ADcC+xdUi1mMElSpW23eQ8Am1tqRksZrJkJ5b8E7Aa8CPgRsBf1YfHjioi9I+KyiFgdEddHxNuK9X9aLG+JiGXNFipJktQBKyPYCfgs9Tv2XA2UNXrKDCZJqrSFm+q3Sdxhh80lV6IKaCmDNdPcenLW8h+AdVnLs4GXAs9qYr8h4J2ZuRT4feAtEbEUuA54BfDjZouUJEnqhEz+OpPBTD4NHA2ckMlJJZVjBpMkVdr8R3YBYF7vQyVXom7XagZr5rLETcXzYPTHgcBvgV0mLizvAe4pXj8YETcAe2bmJQAR0WyNkiRJHRHBoaOsexJwRyZDHS7HDCZJqrS5Dz8OgOgZBHYstxh1tVYzWDPNreXRH0uA9wErgO2B90+uyNgHOAS4cjL7SZIkddgngUOBXwEBHAhcD+wYwZsz+X4HazGDSZKqbWN9sq1cNAA8sdxa1O1aymATNreylp8rXv4Y2G+y1UXE9sAFwNsz84FJ7HcKcArAggULJntYSZKkqbgbODmT6wEiWAqcDrwbuBA619wyg0mSqm7L+h0AGFpwX8mVqAJaymATzrkV/bE5+uOD0b91DHv0x9XNVBYR86mHqnMz88Jm9hmWmcszc1lmLps3r5kBZpIkSS07YDhUAWSyGnhqJrd2uhAzmCSp6obWL4YYYuNcm1uaUEsZrJkJ5a8vtvt+9EdfsW7CyRqiPqHD54EbMvOMZoqRJEkq2fURfCqC5xWPTwKrI1jI1jmwOlYLZjBJUoU9/NB2sGiQgY1ryi5F3a+lDNZMc2soa/lu4HPAT6I/DgOyif2eA/w58PyIuKZ4vCQi/iQi7gSeDXwnIi5u4rMkSZI64UTgZuDtxePWYt0m4I86XIsZTJJUaRseXAiLBlmzweaWJnQiLWSwZsaaB0DW8qvRH9cDXwaeMNFOmflTxv528RtNHFeSJKmjMtlQfFP47UxuHPF2p+9jbgaTJFXa2rVzmLPdAza3NKFWM1gzI7f+8tGD1fI64A+Bt06qSkmSpAqI4FjgGuB7xfIzIlhRUjlmMElSpQ0MwILt19nc0oRazWBjjtyK/nh+1vJS4InRHyPv2dnpby4lSZI6oQYcDlwOkMk1EezbyQLMYJKkmWJgABb1bmBg40DZpaj7tZTBxrss8XnApcDLR3kvqd+KUZIkaSbZlMna2PaivmbmuZpOZjBJ0owwOAjb7f6II7fUjJYy2JjNraxlrXg+acqlSZIkVcv1EbwWmBvB/tQvA/yvThZgBpMkzQSZ9ZFb++44ZHNLzWgpg004oXz0x07AXwD7NG6ftXTOB0mSNNP8DfBe4GHgK8DFwAfKKMQMJkmqsg0b4JFHYMcdk9ttbmliLWWwZu6W+F3gCuBaYMsUCpQkSWpZRBwDnAnMBT6XmR8c8f6bgLcAm6nPTXVKZq6OiH2AG+DRO+9ckZlvGu0YmaynHqze246fYZLMYJKkyhocrD/39QVXb1hDZhIx1s181c2qkMGaaW4tylq+YyofLkmSNB0iYi5wFnA0cCdwVUSsyMzVDZt9OTM/XWx/LHAGcEzx3i2Z+YyJj8MBwN8xcrRU8vzp+DkmyQwmSaqsgWIO+cf3zWVoyxAPPfIQixcuLrcoTVpVMlgzza0vRX+8Efg29eFh9QPU0nGFkiSpUw4Hbs7MWwEi4jzgOODRYJWZDzRs38vUJoL/OvBp4HPUv30skxlMklRZw82tnfvmw+9gYOOAza1qqkQGa6a59QjwEepDw4YLTGC/yR5MkiRpivYEftOwfCfwrJEbRcRbgHcAC2Cbb/r2jYhfAA8A78vMn4xxnKFMPjU9JbfMDCZJqqzhyxJ323kh/A7WbFjDE3Z8QrlFaSoqkcGaaW69E3hy1vJ3Uz2IJEnSBOZFxMqG5eWZuXyyH5KZZwFnRcRrgfcBJwD3AE/IzPsj4jDgmxHxtBHfMg67KIK/Br5B42ippIzRUmYwSVJlDY/c2nOX7eAGvGNi95oRGayZ5tbNwPpmPkySJGmKhjJz2Tjv3wXs3bC8V7FuLOdB/du/zHyYIiRl5qqIuAU4AFg5yn4nFM/valhX1mgpM5gkqbKGm1t771K/FNHmVteaERmsmebWOuCa6I/L2Ha+B29DLUmSOuUqYP+I2Jd6oDoeeG3jBhGxf2beVCy+FLipWL8zsCYzN0fEfsD+wK2jHSSTfdtU/1SYwSRJlTXc3HribjsCNrcqrBIZrJnm1jeLhyRJUikycygiTgUupn4b6i9k5vURcTqwMjNXAKdGxFHAJmCArd8APhc4PSI2AVuAN2VWYlJ2M5gkqbIGB2HxYthlcR9gc6uqqpLBInMqk9h3Vm9vb65bt67sMiRJUptExPrM7C27Dm3LDCZJmqoTT4TLLoM77oCef+rhbw7/Gz589IfLLksjzJQMNubIreiPr2UtXx39cS2j3MYxa3lQWyuTJEmahcxgkqSZYGAAdtqp/nrJoiUMbBgotyDNaONdlvi24vllnShEkiSpbBH8MJMXTLSuzcxgkqTKG5f7BlsAAB0hSURBVByEJUvqr/t6+liz0csSNbZWM9iYza2s5T3F8x2tlShJktTdIlgEbAc8PoIlQBRv7QDs2clazGCSpJlgYACe9KT6676ePufc0qimK4NNOKF89McrgA8BuxQHCSCzljtMtmhJkqQu9VfA24E9gKsb1j8A/GsZBZnBJElV1nhZYl9PH7cN3lZuQepW05LBmrlb4oeBl2ctb5hUeZIkSRWRyZnAmRH8TSafKLueghlMklRZIy9LXHXPqnILUleargzWTHPrfw1VkiRpllgbwV+MXJnJOSXUYgaTJFXSpk3w0EMj5tzyskSNr6UM1kxza2X0x1eBbwIPP3qAWl7YdImSJEnV8MyG14uAF1AfIl9Gc8sMJkmqpMHB+nPj3RLXb1rPw0MPs3DewvIKUzdrKYM109zaAVgPvLBhXQIGK0mSNKNk8jeNyxHsBJxXUjlmMElSJQ03txpHbgEMbBxgt+13K6kqdbNWM9iEza2s5UlTqEuSJGkmWAfsW8aBzWCSpKoaGKg/j2xurdmwxuaWmjWpDDZmcyv6491Zyw9Hf3yC+reE28havnVq9UmSJHWnCC5ia+6ZC/we8LWO1mAGkyRV3HBzq/FuiYDzbmlMrWaw8UZuDU9gunJqpUmSJFXORxteDwF3ZHJnh2swg0mSKm2syxJtbmkcLWWwMZtbWcuLiuezp16bJElSdWTyowh2Zeukpjd1vAYzmCSp4sa7LFEaTasZbLzLEleMe+BaHjuZA0mSJHW7CF4NfAS4HAjgExG8K5PzO1aDGUySVHE2tzRZrWaw8S5LfDbwG+ArwJXFh0uSJM1k7wWemcm9ABHsDPwAOtfcwgwmSaq4wUFYuBAWLaovL164mDkxx+aWxtNSBhuvubUbcDTwGuC1wHeAr2Qtr2/mgyNib+AcYFfqk4Itz8wzI6IP+CqwD3A78OrMHGjmMyVJktpsznCoKtwPzOlwDWYwSVKlDQxsHbUFMCfmsGTREgY2+M+OxtRSBhtzw6zl5qzl97KWJwC/D9wMXB79cWqTnz0EvDMzlxb7vyUilgKnAT/MzP2BHxbLkiRJ3eB7EVwcwYkRnEi9sfTdThZgBpMkVd3I5hbUL01cs9GRWxpTSxlsvJFbRH8sBF5K/ZvDfYCPA99o5oMz8x7gnuL1gxFxA7AncBxwZLHZ2dSvp/w/zRYsSZLULpm8K4JXAEcUq5ZnNpd9ppMZTJJUZYODsNNO267r6+nzskSNqdUMNt6E8ucAB1LvlPVnLa+bapERsQ9wCPV5I3YtQhfAb6kPmZckSeoKmVwIXFjW8c1gkqSqGxiAXUf8K9PX08d96+8rpyBVQisZbLyRW68H1gFvA94a/Y/OZRpAZi13aOYAEbE9cAHw9sx8IGLrnKiZmRGRY+x3CnAKwIIFC5o5lCRJ0kxgBpMkVdrAADz1qduu6+vp48b7byynIM14Yza3spYtT54aEfOph6pzM3O4+/a/EbF7Zt4TEbvDNhOGbT1+5nJgOUBvb++o4UuSJGmmMYNJkqpuYOCxlyUuWbTEyxLVNm27+0/Uvx78PHBDZp7R8NYK4ITi9QnAt9pVgyRJ0mxjBpMklWnLFli7dvQJ5dduXMvmLZvLKUwz2rgTyrfoOcCfA9dGxDXFur8HPgh8LSJOBu4AXt3GGiRJkiYUwbXAmKOUMjmog+W0ygwmSSrNgw/WG1yjNbeSZO3Da+nr6SunOHWd6cpgbWtuZeZPqc8NMZoXtOu4kiRJU/Cy4vktxfOXiufXlVBLS8xgkqQyDQzUn0e7WyLAmg1rbG6p0bRksLZdlihJkjSdIuKYiLgxIm6OiNNGef9NEXFtRFwTET+NiKUN772n2O/GiHjRyH0zuSOTO4CjM3l3JtcWj9OAF7b3J5MkaeYYHKw/jzZyC3DerQqqQgazuSVJkrpeRMwFzgJeDCwFXtMYnApfzsynZ+YzgA8DZxT7LgWOB54GHAN8svi8MQ7Fc7Yu8AeYlyRJatrwyC2bWzNDVTJYO+fckiRJmi6HAzdn5q0AEXEecByweniDzHygYftets7fcBxwXmY+DNwWETcXn/ezUY5zMvCFCHakfmnfAPCGaf5ZJEmasZq5LFGVUokMZnNLkiRVwZ7AbxqW7wSeNXKjiHgL8A5gAfD8hn2vGLHvnqMdJJNVwMFFsCKTtS1XLknSLDLWZYlLeuorbG5VTiUymM0tSZLUDeZFxMqG5eWZuXyyH5KZZwFnRcRrgfcBJzSzXwTvGGN98bn14fWSJGl8Y12WuGRRfcXAhoEOV6QJzIgMZnNLkiR1g6HMXDbO+3cBezcs71WsG8t5wKcmse/iJuuUJEnjGBiAOXNg8Yh/WefPnc/iBYsdudV9ZkQGs7klSZKq4Cpg/4jYl3ooOh54beMGEbF/Zt5ULL4UGH69AvhyRJwB7AHsD/y8cd9M+ttYuyRJs8bgYH2+reGRN436evpYs9HmVsVUIoPZ3JIkSV0vM4ci4lTgYmAu8IXMvD4iTgdWZuYK4NSIOArYRH0S0hOKfa+PiK9Rn/h0CHhLZm4e7TgR7AV8Ah69W89PgLdlcmcbfzxJkmaMgYHHXpI4rK+nz5FbFVOVDBaZOfFWJevt7c1169aVXYYkSWqTiFifmb3l18ElwJeBLxWrXg+8LpOjy6uqPGYwSdJkveQlcN99cNVVj33vqHOOYsPQBv7zDf/Z+cI0qpmSwea0qzBJkqQK2jmTf8tkqHh8Edi57KIkSaqK4csSR7OkZ4kjtzSWljKYzS1JkqSt7o/g9RHMLR6vB+4vuyhJkqpi3MsSF3lZosbUUgazuSVJkrTVG4BXA78F7gFeBZxUakWSJFXIRHNuDWwYoArTI6njWspgTigvSZJUyOQO4Niy65AkqarGuyyxr6ePTVs2sW7TOrZfsH1nC1NXazWD2dySJEmzXgSfAMb8GjmTt3awHEmSKmnDBnj44fFHbgGs2bDG5paA6ctgNrckSZJgZcPrfqBWViGSJFXVwED9uZnm1hN2fEKHqlKXm5YMZnNLkiTNepmcPfw6grc3LkuSpOYMN7fGuywRcFJ5PWq6MpgTykuSJG3LWW4lSZqCwcH681gjt5b01N+wuaUxTDmD2dySJEmSJEktm8xlidJ08rJESZI060XwIFu/LdwuggeG3wIykx3KqUySpOpo9rLEgQ0DHapI3W66MpjNLUmSNOtlsrjsGiRJqrqJLkvsmdfDwrkLHbmlR01XBrO5JUmSJEklyoQ77oBNm8quRGrNLbfUn8cauRUR9PX02dzStLO5JUmSJEkl+spX4HWvK7sKaXr09cG8cToNfT19rNloc0vTy+aWJEmSJJXo61+HPfeED32o7Eqk1h1wwPjvL+lZ4sgtTTubW5IkSZJUkg0b4Pvfh5NOcvSWZoe+nj5uH7y97DI0w8wpuwBJkiRJmq1++ENYvx6OPbbsSqTOcM4ttYPNLUmSJEkqyYoVsHgxPO95ZVcidUbfoj4GNgyUXYZmGJtbkiRJklSCLVvgoovgmGNg4cKyq5E6o6+nj3Wb1vHw0MNll6IZpG3NrYj4QkTcGxHXNaw7OCJ+FhHXRsRFEbFDu44vSZI0G5nBpOpYuRJ++1svSdTs0tfTB8DARkdvafq0c+TWF4FjRqz7HHBaZj4d+AbwrjYeX5IkaTb6ImYwqRJWrIC5c+ElLym7EqlzlvQsAXDeLU2rtjW3MvPHwMi/rQcAPy5eXwK8sl3HlyRJmo3MYFJ1rFgBRxwBfX1lVyJ1zvDILZtbmk7zOny864HjgG8Cfwrs3eHjS5IkzUZmMKnL3HYbXHstfOxjZVciddZwc+uj//VRLlh9QcnVVMNhexzG6w96fdlldLVON7feAHw8Iv4BWAE8MtaGEXEKcArAggULOlOdJEnSzGQGk7rMRRfVn1/+8nLrkDrtyX1PZr8l+3HZ7ZdxGZeVXU4lPPTIQza3JhCZ2b4Pj9gH+HZmHjjKewcA/56Zh0/0Ob29vblu3brpL1CSJHWFiFifmb0TbHMMcCYwF/hcZn5wxPvvAP4SGALuA96QmXcU720Gri02/Z/MnNHTN5vBpO531FFw992wenXZlUiazWZKBmvnhPKPERG7FM9zgPcBn+7k8SVJUjVFxFzgLODFwFLgNRGxdMRmvwCWZeZBwPnAhxve25CZzygeM7qxNRozmNRdBgfhRz/yLomSul9VMljbmlsR8RXgZ8BTIuLOiDiZ+kn4NfDfwN3Av7Xr+JIkaUY5HLg5M2/NzEeA86jPIfWozLwsM9cXi1cAe3W4xq5gBpO63/e+B0NDNrckVUIlMljb5tzKzNeM8daZ7TqmJEmasfYEftOwfCfwrHG2Pxn4j4blRRGxkvpw+Q9m5jenv8TuYAaTut+KFbDzzvCs8X6LSVJ3qEQG6/SE8pIkSaOZVwSfYcszc/lUPigiXg8sA57XsPqJmXlXROwHXBoR12bmLS3UK0lTsmkTfPe78IpXwNy5ZVcjSTMjg9nckiRJ3WAoM5eN8/5dwN4Ny3sV67YREUcB7wWel5kPD6/PzLuK51sj4nLgEMDmlqSO+8lPYO1aL0mU1DVmRAbr6ITykiRJU3QVsH9E7BsRC4DjgRWNG0TEIcBngGMz896G9UsiYmHx+vHAcwDvTyapFCtWwKJFcPTRZVciSU2pRAZz5JYkSep6mTkUEacCF1O/DfUXMvP6iDgdWJmZK4CPANsDX48I2Hq76d8DPhMRW6h/sffBzLS5JanjMuvNraOOgt7esquRpIlVJYNFZrbjc6dVb29vrlu3ruwyJElSm0TE+sz0/+p1GTOYNL2uuw6e/nRYvhze+Mayq5GkmZPBvCxRkiRJkjpgRXEhz8teVm4dkjTT2NySJEmSpA5YsQIOPxx2373sSiRpZrG5JUmSJElt9tvfwpVXepdESWoHm1uSJEmS1Gbf/nb92eaWJE0/m1uSJEmS1Gbf+hbssw8ceGDZlUjSzGNzS5IkSZLaaN06+MEP6qO2IsquRpJmHptbkiRJktRGP/gBbNzoJYmS1C42tyRJkiSpjVasgB13hOc+t+xKJGlmsrklSZIkSW2yeTNcdBG8+MUwf37Z1UjSzGRzS5IkSZLa5Oc/h/vu85JESWqneWUXUKaVK2HNGid1lCSpGfPnw5FHll2Fqi4TLrmk7Cqkzjn3XJg3D445puxKJGnmmtXNrXe9Cy6/vOwqJEmqhp13hnvvLbsKVd3QELzoRWVXIXXWC18IS5aUXYUkzVyzurn1iU/A2rVlVyFJUjU4V4ymw9y58NOf1l87el6zxdKlZVcgSTNbZGbZNUyot7c3161bV3YZkiSpTSJifWb2ll2HtmUGkyRpZpspGcwJ5SVJkiRJklRZNrckSZIkSZJUWTa3JEmSJEmSVFk2tyRJkiRJklRZNrckSZIkSZJUWTa3JEmSJEmSVFk2tyRJkiRJklRZNrckSZIkSZJUWTa3JEmSJEmSVFlta25FxBci4t6IuK5h3TMi4oqIuCYiVkbE4e06viRJmlki4piIuDEibo6I00Z5/x0RsToifhURP4yIJza8d0JE3FQ8Tuhs5Z1lBpMkSdOpChksMrM9HxzxXOAh4JzMPLBY933gXzLzPyLiJcC7M/PIiT6rt7c3161b15Y6JUlS+SJifWb2jvP+XODXwNHAncBVwGsyc3XDNn8EXJmZ6yPizcCRmflnEdEHrASWAQmsAg7LzIH2/UTlMYNJkqRmzZQM1raRW5n5Y2DNyNXADsXrHYG723V8SZI0oxwO3JyZt2bmI8B5wHGNG2TmZZm5vli8AtireP0i4JLMXFOEqUuAYzpUd8eZwSRJ0jSqRAab144PHcfbgYsj4qPUG2t/0OHjS5KkatoT+E3D8p3As8bZ/mTgP8bZd89pra77mcEkSdJUVCKDdbq59WbgbzPzgoh4NfB54KjRNoyIU4BTisWMiA1tqmkeMNSmz9bYPO/l8LyXw/NeDs97eaZy7nsiYmXD8vLMXD6Vg0fE66kPf3/eVPafocxgGuZ5L4fnvRye93J43ssx1fM+IzJYp5tbJwBvK15/HfjcWBsWJ3NKJ3QyImJlZi5r93G0Lc97OTzv5fC8l8PzXp42nfu7gL0blvcq1o089lHAe4HnZebDDfseOWLfy6e5vm5nBhPgeS+L570cnvdyeN7L0cbzXokM1rY5t8ZwN1s7eM8Hburw8SVJUjVdBewfEftGxALgeGBF4wYRcQjwGeDYzLy34a2LgRdGxJKIWAK8sFg3m5jBJEnSVFQig7Vt5FZEfIV6h+7xEXEnUAPeCJwZEfOAjWwd8i5JkjSmzByKiFOpB6K5wBcy8/qIOB1YmZkrgI8A2wNfjwiA/8nMYzNzTUR8gHo4Azg9M0dOuD5jmMEkSdJ0qUoGi8xsx+dWRkScMtXrSTV1nvdyeN7L4Xkvh+e9PJ57NcO/J+XwvJfD814Oz3s5PO/lmO3nfdY3tyRJkiRJklRdnZ5zS5IkSZIkSZo2s7q5FRHHRMSNEXFzRJxWdj1VFxFfiIh7I+K6hnV9EXFJRNxUPC8p1kdEfLw497+KiEMb9jmh2P6miDihjJ+lKiJi74i4LCJWR8T1EfG2Yr3nvc0iYlFE/Dwiflmc+/5i/b4RcWVxjr9aTLpIRCwslm8u3t+n4bPeU6y/MSJeVM5PVB0RMTcifhER3y6WPecdEBG3R8S1EXFNFLeL9neNpsL8Nb3MX+Uwg5XD/FUuM1g5zGBNysxZ+aA+EdotwH7AAuCXwNKy66ryA3gucChwXcO6DwOnFa9PAz5UvH4J8B9AAL8PXFms7wNuLZ6XFK+XlP2zdesD2B04tHi9GPg1sNTz3pFzH8D2xev5wJXFOf0acHyx/tPAm4vXfw18unh9PPDV4vXS4vfPQmDf4vfS3LJ/vm5+AO8Avgx8u1j2nHfmvN8OPH7EOn/X+Jjs3yPz1/SfU/NXOefdDFbOeTd/lXv+zWDlnHczWBOP2Txy63Dg5sy8NTMfAc4Djiu5pkrLzB8DI+98cBxwdvH6bOCPG9afk3VXADtFxO7Ai4BLMnNNZg4AlwDHtL/6asrMezLz6uL1g8ANwJ543tuuOIcPFYvzi0cCzwfOL9aPPPfDfybnAy+IiCjWn5eZD2fmbcDN1H8/aRQRsRfwUuBzxXLgOS+Tv2s0WeavaWb+KocZrBzmr/KYwbqOv2tGmM3NrT2B3zQs31ms0/TaNTPvKV7/Fti1eD3W+ffPZYqK4b6HUP8Gy/PeAcXQ7GuAe6n/A3ELMJiZQ8Umjefx0XNcvL8WeBye+8n6v8C7gS3F8uPwnHdKAt+PiFURcUqxzt81miz/DnSG/212kBmss8xfpTGDlccM1oR5ZReg2SMzMyK8PWcbRMT2wAXA2zPzgfoXI3We9/bJzM3AMyJiJ+AbwFNLLmlGi4iXAfdm5qqIOLLsemahIzLzrojYBbgkIv678U1/10jdyf8228sM1nnmr84zg5XODNaE2Txy6y5g74blvYp1ml7/WwyDpHi+t1g/1vn3z2WSImI+9VB1bmZeWKz2vHdQZg4ClwHPpj70d/iLg8bz+Og5Lt7fEbgfz/1kPAc4NiJup34p0/OBM/Gcd0Rm3lU830v9/0wcjr9rNHn+HegM/9vsADNYucxfHWUGK5EZrDmzubl1FbB/cYeHBdQnultRck0z0Qpg+E4MJwDfalj/F8XdHH4fWFsMq7wYeGFELCnu+PDCYp1GUVy7/nnghsw8o+Etz3ubRcTOxTeGREQPcDT1+TYuA15VbDby3A//mbwKuDQzs1h/fHFXmX2B/YGfd+anqJbMfE9m7pWZ+1D/nX1pZr4Oz3nbRURvRCwefk39d8R1+LtGk2f+6gz/22wzM1g5zF/lMIOVxww2CdkFs9qX9aB+J4FfU79O+71l11P1B/AV4B5gE/VreE+mfm31D4GbgB8AfcW2AZxVnPtrgWUNn/MG6pML3gycVPbP1c0P4Ajq12D/CrimeLzE896Rc38Q8Ivi3F8HvL9Yvx/1f6RvBr4OLCzWLyqWby7e36/hs95b/JncCLy47J+tCg/gSLbeqcdz3v7zvR/1uxv9Erh++N9Mf9f4mMrD/DXt59P8Vc55N4OVc97NX+X/GZjBOnu+zWBNPqL4ISVJkiRJkqTKmc2XJUqSJEmSJKnibG5JkiRJkiSpsmxuSZIkSZIkqbJsbkmSJEmSJKmybG5JkiRJkiSpsmxuSRUUERkR/96wPC8i7ouIbxfLx0bEaRN8xh4Rcf4kj3t6RBw1hXr/OCKWtvo5o3zusoj4ePH6yIj4g1Y/s+Gz94mI1452LEmSNDuZwR79HDOYpK4SmVl2DZImKSIeAm4Gnp2ZGyLixcA/A3dm5svKre6xIuKLwLczc1JBbpLH+Efgocz86CT2mZeZQ2O8dyTwd914PiVJUjnMYKMe4x8xg0kqmSO3pOr6LvDS4vVrgK8MvxERJ0bEvxavvxgRH4+I/4qIWyPiVcX6fSLiuobtvxkRl0TE7RFxakS8IyJ+ERFXRERfw2e9qvgG7ZricW1EZPH+GyPiqoj4ZURcEBHbFd/kHQt8pNj+ScOfU+zzguI410bEFyJiYbH+9ojoj4iri/eeOvIEFN8Ufjsi9gHeBPxtcYw/jIidixquKh7PKfb5x4j4UkT8J/Cl4jz8pDjO1Q3fPH4Q+MPi8/52+FjFZ/QV5+tXxfk5qOGzvxARlxfn+q3F+t6I+E5xXq6LiD+bjr8AkiSpFGYwM5ikLmNzS6qu84DjI2IRcBBw5Tjb7g4cAbyMemAYzYHAK4BnAv8ErM/MQ4CfAX/RuGFmrszMZ2TmM4DvAcPf1F2Ymc/MzIOBG4CTM/O/gBXAu4p9bhn+nKL2LwJ/lplPB+YBb2441O8y81DgU8DfjfXDZebtwKeBfymO8RPgzGL5mcArgc817LIUOCozXwPcCxxdHOfPgOFh76cBPyk+719GHLIf+EVmHgT8PXBOw3tPBV4EHA7UImI+cAxwd2YenJkHFudMkiRVkxlsaz23YwaT1AXmlV2ApKnJzF8V35a9hvo3iOP5ZmZuAVZHxK5jbHNZZj4IPBgRa4GLivXXUg9uj1F8+3Uo8MJi1YER8f8BOwHbAxdPUNdTgNsy89fF8tnAW4D/WyxfWDyvoh76JuMoYGlEDC/vEBHbF69XZOaG4vV84F8j4hnAZuCAJj77COphjcy8NCIeFxE7FO99JzMfBh6OiHuBXamfw//X3h27RhFEARj/ntqKgp2NgpaKohZWYm2j1hKjf4BCCksxShoRWxEEsbAQ7LQTLCTY2CWBoNZCEK0UQYvLs5g52IQ7z1zgLgPfr7qbnWXebnE83uy+exgR9ymvBixu8VokSdIOYQ42kjmYpImzuCW17RVlx+48cOAf8/50Psd/zFnvfF9nwG9FRBwD5oFzmdmrw8+AS5m5FBHXalzb0Y+hNyiGEXYBZzPzd3ewJlq/OkNzwFfgRD1nw/wxdO9jD9iTmZ8j4hRwAViIiLeZeW+b60iSpOkxBxvOHEzSxPlaotS2p8DdzFyZ5KIRsZ/SX+JqZn7rHNoLrNXHwK90xn/WY5t9Ag5HxNH6fQZ4N2ZYm9d4A9zoxHxyyHn7gLW6qzoD7B4RM8Ai9fqiND39npk/hgUWEQcprxg8Bx5QdlolSVK7zMGGr2EOJmniLG5JDcvML5k5jb9GvggcAp70m5rW8duUvhPvgY+d+S+AW7Vp6ZH+YN3Ruw68jIgVyg7l4zFjeg1c7jczBW4CZ2rD0VVKs9NBHgGzEbFE6dXQ31FcBnq1AencpnPmgdMRsUzpnzE7IrbjwId6n+4AC1u8NkmStIOYg21gDiZp6iIzpx2DJEmSJEmSNBaf3JIkSZIkSVKzLG5JkiRJkiSpWRa3JEmSJEmS1CyLW5IkSZIkSWqWxS1JkiRJkiQ1y+KWJEmSJEmSmmVxS5IkSZIkSc2yuCVJkiRJkqRm/QV/ULoMvpZwRwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1f6c9b0550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot a comparison of the two algorithms. \n",
    "figB, axes = plt.subplots(3,2,figsize=(20, 16))\n",
    "   \n",
    "VFEiters = FITCcb.n_iters\n",
    "VFElog_likelihoods = stretch(len(VFEiters), VFEcb.log_likelihoods)\n",
    "VFEhold_out_likelihood = stretch( len(VFEiters), VFEcb.hold_out_likelihood)\n",
    "\n",
    "plotComparisonFigure(xtrain, VFEmodel, exact_model, axes[0,0], axes[1,0], axes[2,0], VFEiters, VFElog_likelihoods.tolist(), VFEhold_out_likelihood.tolist(), \"VFE\")\n",
    "plotComparisonFigure(xtrain, FITCmodel, exact_model, axes[0,1], axes[1,1], axes[2,1],FITCcb.n_iters, FITCcb.log_likelihoods, FITCcb.hold_out_likelihood , \"FITC\")\n",
    "\n",
    "axes[0,0].set_title('VFE', loc='center', fontdict = {'fontsize': 22})\n",
    "axes[0,1].set_title('FITC', loc='center', fontdict = {'fontsize': 22})  "
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
back to top