{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy\n",
    "from scipy.optimize import fmin\n",
    "from scipy import optimize\n",
    "import emcee, corner\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import MaxNLocator\n",
    "import dynesty"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD4CAYAAADvsV2wAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/d3fzzAAAACXBIWXMAAAsTAAALEwEAmpwYAAASq0lEQVR4nO3df4xdZ33n8fcnY7tbhWihyTRAbBi2tSI5qEnZkUsErgokWeNNk90Vm8SiEFpWTiuQqNQVIougu+QPdrdLt9oFNbgkIrRsCLslYBUDMS0SRgo442xiEhNqN2tkO1k8JAWC6DIZ57t/zLE0tu/YM77Hc++d835Jozk/njnP10fXHx8/c855UlVIkla+CwZdgCRpeRj4ktQRBr4kdYSBL0kdYeBLUkesGnQBZ3LJJZfUxMTEoMuQpJGxd+/eH1TVeK99Qx34ExMTTE1NDboMSRoZSb630D6HdCSpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqiEUHfpK7kxxL8ti8bX+U5Ikk+5Lcn+TFC/zsoSTfTvJIEu+zlKQBWMoV/ieBzads2wW8uqp+Bfhb4PYz/PwbquqqqppcWomSpDYsOvCr6uvAs6dse6CqZpvVbwJrW6xNkkbOzR9/kJs//uCgy+ipzTH83wG+tMC+Ah5IsjfJtjMdJMm2JFNJpqanp1ssT5K6rZXAT/J+YBb49AJNXl9VrwHeDLwrya8vdKyq2l5Vk1U1OT7e83UQkqRz0HfgJ3kHcD3w1lpgvsSqOtp8PwbcD2zst18Jhvu/z9Kw6Svwk2wG3gvcUFU/XaDNhUkuOrEMXAc81qutJOn8WcptmfcCDwKXJzmS5J3AR4GLgF3NLZd3Nm1fnmRn86OXAt9I8iiwB/hiVX251T+FJOmsFv165Kra2mPzXQu0fQrY0iw/CVx5TtVJklrjk7aS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1hIEvSR2x6PfhS5LObv3Mfq6Y2QeHx2DdcM3muqQr/CR3JzmW5LF5234hya4kB5rvL1ngZ29t2hxIcmu/hUvS0Dm8hw88czs3PfcpuOcGOLxn0BWdZKlDOp8ENp+y7X3AX1fVeuCvm/WTJPkF4A+BX2NuAvM/XOgfBkkaWYd2s4rnGeMFOD4Dh3YPuqKTLCnwq+rrwLOnbL4RuKdZvgf4Fz1+9J8Bu6rq2ar6e2AXp//DIUmjbWITs6zmOBfA2BqY2DToik7Sxi9tL62qp5vl/8vcpOWnugw4PG/9SLPtNEm2JZlKMjU9Pd1CeZK0TNZt5I6LP8xnL3o73LpjtMfwz6aqCqg+j7G9qiaranJ8fLylyiRpeRxYs4HPv+iWoQt7aCfwv5/kZQDN92M92hwF1s1bX9tskyQtkzYCfwdw4q6bW4Ev9GjzFeC6JC9pfll7XbNNkrRMlnpb5r3Ag8DlSY4keSfwH4FrkxwArmnWSTKZ5BMAVfUscAfwUPP1oWabJGmZLOnBq6rausCuN/VoOwX8m3nrdwN3L6k6SVJrfLWCJHWEgS9JHWHgS1JHGPiSNEwO74HdHzkv7+HxbZmSNCwO75l76drxmblXM7T8tK5X+JI0LA7t5vjsz6COn5eXrxn4kjQsJjYxturnIGPn5eVrDulI0rBYt3FuGOfQ7rmwb/l9PAa+JA2TdRvP24vXHNKRpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqiL7vw09yOXDfvE3/BPhgVf3JvDa/wdzUh/+n2fS5qvpQv31L0rC577arB13CgvoO/Kr6LnAVQJIx5iYnv79H091VdX2//UmSzk3bQzpvAv6uqr7X8nElSX1qO/BvAe5dYN/VSR5N8qUkVyx0gCTbkkwlmZqenm65PEnqrtYCP8ka4Abgf/bY/TDwyqq6EvjvwOcXOk5Vba+qyaqaHB8fb6s8Seq8Nq/w3ww8XFXfP3VHVf24qn7SLO8EVie5pMW+JUln0Wbgb2WB4ZwkL02SZnlj0+8zLfYtSTqLVl6PnORC4Frgtnnbfhegqu4E3gL8XpJZ4B+AW6qq2uhb3bZ+Zj9XzOyDw2Pn7ZWy0kqRYc7dycnJmpqaGnQZGlaH9/Czu65nFc/PzRLU8vyf0ihKsreqJnvt80lbja5Du+fCnhfOy/yf0s0ff5CbP/7goMtojYGv0TWxiVlWc5wLzsv8n9JK4xSHGl3rNnLHxR/mipl9bL3prQ7nSGdh4GukHVizgQNrNrDVsJfOyiEdSeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpI9qcxPxQkm8neSTJabOWZM5/S3Iwyb4kr2mrb0nS2bX9tsw3VNUPFtj3ZmB98/VrwJ823yVJy2A5h3RuBD5Vc74JvDjJy5axf2mkrbTZl7T82gz8Ah5IsjfJth77LwMOz1s/0mw7SZJtSaaSTE1PT7dYniR1W5uB//qqeg1zQzfvSvLr53KQqtpeVZNVNTk+Pt5iee3yakvSqGkt8KvqaPP9GHA/cOoUREeBdfPW1zbbJEnLoJXAT3JhkotOLAPXAY+d0mwH8Pbmbp3XAj+qqqfb6F+SdHZt3aVzKXB/khPH/B9V9eUkvwtQVXcCO4EtwEHgp8Bvt9S3JGkRWgn8qnoSuLLH9jvnLRfwrjb6kyQtnU/aSlJHGPiS1BEGviR1RNuvVpCkFWP9zH6umNkHh8dg3al3mo8eA/8crbQPgoafn7lldngPH3jmdlbxPNxzH9y6Y+TPu0M656L5INz03Kfgnhvg8J5BV6SVbgg/cyv+afNDu1nF84zxAhyfgUO7B11R3wz8c7ECPwgacn7mlt/EJmZZzXEugLE1MLFp0BX1zcA/Fyvwg6Ah52du+a3byB0Xf5jPXvT2FTGcA47hn5vmg3DFzD623vTWFfFB0JDzMzcQB9Zs4MCaDWxdIed7RQb+iXHF+267+rz1sdI+CBp+fubUL4d0JKkjDHxJ6ggDX5I6wsCXpI4w8CWpI/oO/CTrknwtyf4kjyd5T482v5HkR0keab4+2G+/kqSlaeO2zFngD6rq4Waaw71JdlXV/lPa7a6q61voT5J0Dvq+wq+qp6vq4Wb5OeA7wGX9HleS1K5WH7xKMgH8KvCtHruvTvIo8BTwb6vq8Tb7Xm7n86EuqRc/c+pXa4Gf5EXAXwK/X1U/PmX3w8Arq+onSbYAnwfWL3CcbcA2gFe84hVtlacRthxPTktd0MpdOklWMxf2n66qz526v6p+XFU/aZZ3AquTXNLrWFW1vaomq2pyfHy8jfIkSbRzl06Au4DvVNUfL9DmpU07kmxs+n2m374lSYvXxpDO64C3Ad9O8kiz7d8BrwCoqjuBtwC/l2QW+AfglqqqFvpWBzjTk9SOvgO/qr4B5CxtPgp8tN++1EErcJo5aVB80lbDzZmepNYY+BpuzvQktWZFToDimO8K4kxPUmtWXuA75rviONOT1I6VN6TjmK8k9bTyrvCbMV94njHHfFcEn7CV2rHyAt8xX0nqaeUFPo75SlIvK28MX5LU04q8wld3eAuutHgGvkaXt+BKS2Lga3T1ugXXwFeLVtodYo7ha3T52gVpSbzC1+jyFlxpSQx8jTRvwZUWzyEdSeqItua03Zzku0kOJnlfj/0/l+S+Zv+3kky00a8kafH6HtJJMgZ8DLgWOAI8lGRHVe2f1+ydwN9X1S8nuQX4T8DN/fYtrbS7KKTzqY0r/I3Awap6sqpmgM8AN57S5kbgnmb5fwFvOjGpuSRpebQR+JcBh+etH2m29WxTVbPAj4CLex0sybYkU0mmpqenWyhPkgRD+EvbqtpeVZNVNTk+Pj7ociRpxWgj8I8C6+atr2229WyTZBXwj4FnWuhbkrRIbQT+Q8D6JK9Ksga4BdhxSpsdwK3N8luAv6mqaqFvSdIi9X2XTlXNJnk38BVgDLi7qh5P8iFgqqp2AHcBf57kIPAsc/8onDfeuSFJp2vlSduq2gnsPGXbB+ct/z/gX7fRlyTp3AzdL20lSeeHgS9JHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kd4STmks7J+pn9XDGzDw6PgZPIjwQDX9LSHd7DB565nVU8D/fcB7fuMPRHgEM6kpbu0G5W8TxjvADHZ+DQ7kFXpEUw8CUt3cQmZlnNcS6AsTUwsWnQFWkRHNKRtHTrNnLHxR/mipl9bL3prQ7njAgDX9I5ObBmAwfWbGCrYT8y+gr8JH8E/CYwA/wd8NtV9cMe7Q4BzwHHgdmqmuynX0nS0vU7hr8LeHVV/Qrwt8DtZ2j7hqq6yrCXpMHoK/Cr6oGqmm1Wvwms7b8kSdL50OZdOr8DfGmBfQU8kGRvkm1nOkiSbUmmkkxNT0+3WJ4kddtZx/CTfBV4aY9d76+qLzRt3g/MAp9e4DCvr6qjSX4R2JXkiar6eq+GVbUd2A4wOTlZi/gzSJIW4ayBX1XXnGl/kncA1wNvqqqeAV1VR5vvx5LcD2wEega+JOn86GtIJ8lm4L3ADVX10wXaXJjkohPLwHXAY/30K0laun7H8D8KXMTcMM0jSe4ESPLyJDubNpcC30jyKLAH+GJVfbnPfiVJS9TXffhV9csLbH8K2NIsPwlc2U8/kqT++S4dSeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSP6neLw3yc52sx29UiSLQu025zku0kOJnlfP31Kks5NXzNeNf5rVf2XhXYmGQM+BlwLHAEeSrKjqva30LckaZGWY0hnI3Cwqp6sqhngM8CNy9CvJGmeNgL/3Un2Jbk7yUt67L8MODxv/Uizrack25JMJZmanp5uoTxJEiwi8JN8NcljPb5uBP4U+CXgKuBp4CP9FlRV26tqsqomx8fH+z2cJKlx1jH8qrpmMQdK8mfAX/XYdRRYN299bbNNkrSM+r1L52XzVv8l8FiPZg8B65O8Kska4BZgRz/9SpKWrt+7dP5zkquAAg4BtwEkeTnwiaraUlWzSd4NfAUYA+6uqsf77FeStER9BX5VvW2B7U8BW+at7wR29tOXJKk/PmkrSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdURfE6AkuQ+4vFl9MfDDqrqqR7tDwHPAcWC2qib76VeStHT9znh184nlJB8BfnSG5m+oqh/005+k4XHfbVcPugQtUb9z2gKQJMBNwBvbOJ4kqX1tjeFvAr5fVQcW2F/AA0n2Jtl2pgMl2ZZkKsnU9PR0S+VJks56hZ/kq8BLe+x6f1V9oVneCtx7hsO8vqqOJvlFYFeSJ6rq670aVtV2YDvA5ORkna0+SdLinDXwq+qaM+1Psgr4V8A/PcMxjjbfjyW5H9gI9Ax8SdL50caQzjXAE1V1pNfOJBcmuejEMnAd8FgL/UqSlqCNwL+FU4Zzkrw8yc5m9VLgG0keBfYAX6yqL7fQryRpCfq+S6eq3tFj21PAlmb5SeDKfvuRJPXHJ20lqSMMfEnqiFQN752PSaaB783bdAng07on85z05nk5nefkdCvxnLyyqsZ77RjqwD9Vkinfw3Myz0lvnpfTeU5O17Vz4pCOJHWEgS9JHTFqgb990AUMIc9Jb56X03lOTtepczJSY/iSpHM3alf4kqRzZOBLUkeMTOAn2Zzku0kOJnnfoOsZtCR3JzmWxBfRNZKsS/K1JPuTPJ7kPYOuadCS/KMke5I82pyT/zDomoZFkrEk/zvJXw26luUyEoGfZAz4GPBmYAOwNcmGwVY1cJ8ENg+6iCEzC/xBVW0AXgu8y88JPwPeWFVXAlcBm5O8drAlDY33AN8ZdBHLaSQCn7n35x+sqieragb4DHDjgGsaqGYCmWcHXccwqaqnq+rhZvk55v4yXzbYqgar5vykWV3dfHX+To0ka4F/Dnxi0LUsp1EJ/MuAw/PWj9Dxv8g6syQTwK8C3xpwKQPXDF08AhwDdlVV588J8CfAe4EXBlzHshqVwJcWLcmLgL8Efr+qfjzoegatqo5X1VXAWmBjklcPuKSBSnI9cKyq9g66luU2KoF/FFg3b31ts006SZLVzIX9p6vqc4OuZ5hU1Q+Br+Hvfl4H3JDkEHPDw29M8heDLWl5jErgPwSsT/KqJGuYm2Vrx4Br0pBJEuAu4DtV9ceDrmcYJBlP8uJm+eeBa4EnBlrUgFXV7VW1tqommMuSv6mq3xpwWctiJAK/qmaBdwNfYe4XcZ+tqscHW9VgJbkXeBC4PMmRJO8cdE1D4HXA25i7Ynuk+doy6KIG7GXA15LsY+7CaVdVdeY2RJ3MVytIUkeMxBW+JKl/Br4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHfH/ASqPli1hAJ+ZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate some data\n",
    "N = 10\n",
    "A_true = 0.9\n",
    "B_true = -3\n",
    "C_true = 3.9\n",
    "err = np.random.randn(N)*3\n",
    "x_data = np.random.uniform(0,5,10)\n",
    "y_data = A_true*x_data**2+B_true*x_data+C_true+err\n",
    "plt.clf()\n",
    "plt.errorbar(x_data,y_data,err,ls='None')\n",
    "plt.plot(x_data,y_data,'.')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "ename": "SyntaxError",
     "evalue": "Missing parentheses in call to 'print'. Did you mean print('x = ',x_data)? (<ipython-input-6-6cab9ed53db4>, line 1)",
     "output_type": "error",
     "traceback": [
      "\u001b[0;36m  File \u001b[0;32m\"<ipython-input-6-6cab9ed53db4>\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m    print 'x = ',x_data\u001b[0m\n\u001b[0m               ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m Missing parentheses in call to 'print'. Did you mean print('x = ',x_data)?\n"
     ]
    }
   ],
   "source": [
    "print 'x = ',x_data\n",
    "print 'y = ',y_data\n",
    "print 'error_y = ', err"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def chi_square(theta):\n",
    "    m,c = theta\n",
    "    yi = y_data\n",
    "    y_th = m*x_data+c\n",
    "    return np.sum((yi-y_th)**2/err**2)\n",
    "\n",
    "def log_likelihood(theta):\n",
    "    return -0.5*chi_square(theta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum likelihood result:\n",
      "    m = 2.384703818473406 (truth: 0.0)\n",
      "    c = -1.9797153344681089 (truth: 0.0)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "result = optimize.minimize(chi_square, [0, 0])\n",
    "m_ml,c_ml = result['x']\n",
    "print(\"\"\"Maximum likelihood result:\n",
    "    m = {0} (truth: {1})\n",
    "    c = {2} (truth: {3})\n",
    "\"\"\".format(m_ml, 0., c_ml, 0.))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def log_prior(theta):\n",
    "    m,c = theta\n",
    "    if -10 < m < 10 and -10 < c < 10:\n",
    "        return 0\n",
    "    else:\n",
    "        return -np.inf\n",
    "    \n",
    "def log_posterior(theta):\n",
    "    return log_likelihood(theta) + log_prior(theta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running MCMC...\n",
      "Done.\n"
     ]
    }
   ],
   "source": [
    "ndim, nwalkers = 2, 1000\n",
    "sampler = emcee.EnsembleSampler(nwalkers, ndim, log_posterior)\n",
    "pos = [result['x']  + 1e-2*np.random.randn(ndim) for i in range(nwalkers)]\n",
    "print(\"Running MCMC...\")\n",
    "sampler.run_mcmc(pos,1000)\n",
    "print(\"Done.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1FFA7aP05teFnP/vZDKEYiURw/vx5DA0NpXQNo4JVFYXqLQQCAZw8eVJXGJibmyvbF+9cBLV7YmICnZ2d8Hg88/Lo3W43PvroI/zDP/yDLOZM5jznzp2Tld7j4+NoampCU1MTwuEwXnvtNbz99tvyfMTIyAhaWlrw+uuvo6WlJWGR21yKXh1LxtUJ8Th37hxef/116Xlt3boVW7duRXp6etwxnqpHr36vPuvu7u4ZueV4XqJKJBKRxlE8Q5va5nA4MDQ0FNfImy10r0YTyOh944034qaIFruwLFlFT+vsU9l2Vq1VMV4jlYhhog1zvF4vWltbceLECTQ2NmJwcBCxWEzW+KjG1be+9S0Aqa8uSDSGf/vb3+KVV17RtRG4/cKiUCgEv9+PDz/8EMeOHUvpmguFFf0i8+677+LLL78EoB+8Q0NDaGpq0ildEjwOhyPpyappGtrb2zE4OIjTp09D0zR0dnaira0toaIzKnpj8ZjqpaoKlqB7eOONN/Duu+/qPLSlIhKJ6CpyNU1DaWkpAMy4z8HBQTQ0NMRVorNhVB7qM1D7a2RkBDdu3MDIyIg89vd+7/eQk5MjFVqi0Cv9PTg4iLGxMTQ3NyMWi+GFF17ApUuXdO2YzaPv7e1FT08P+vv75XK1uXL9mqbhwoULchMhIQS6urrw0UcfIRwOy+N7enrQ0NCAmzdv6qqDQ6EQPv/884RCyai8jGOG8uwTExPyu2TGjSrEL168KPObxns0KvpgMIjjx48nnAfxfjsXqpGpoip6aisd19fXp6sxUOdbvIjEbIqevNXGxka89dZbOHz4cFLtXgiJIk9GaKzEq9vxer0YHBycsb+BsT/VMZ9KCsuY71aXWh4+fBjBYFBGQ4zGVXV1NZ599lnk5eUBmBkJ6ujowEsvvYS/+7u/m1GjIYRANBpFIBBAc3Ozbuko1RoYDV+bzSbnw8DAALq6utDY2Lhslf8AK/pFJ96yKgC4du0aBgYGEAgEEAgEZOEJMO3RGy3dRGiahszMTADAT37yE7z//vt4++238fnnnyfcFU6dFDdv3sTx48d1OVG6rtPpnDV0T7nAVMPksVgMly9fnlE5Pz4+jpaWlri/UQ0O6ptHH30UAPDhhx/qzqXuOjdXH2qahmAwiGAwOENR0DVJSAC3DSP6o56/oKAAPp8PY2NjCXfToxoDtQCTrnPmzJmk2qy2LZlcv/Fvus94RUsAcP78eRw7dgyvv/46XnnlFbS2tgIAHnroIZSXlyf0eOby6Pv6+jA6OoobN27IPQKMQnV4eFgaj0Q0GoXZbIbf78fZs2dx8eLFuKFv4/XT0tJw4sQJ/I//8T/i7taXrKKn/hkfH8epU6fwX/7Lf5lhPMzm0b/77ru4fv06BgYGcPr06RlpDGN7LBZLQqVKz4xWUiyGcpiamsLx48dx9erVuN97PB6cO3duzi1wyaN3u90z2nXo0CG8/fbbMwwTo+IlEhlUiVBl2uuvv47r169D0zTdHgtkJA0ODurmT0NDA95++20cOnQIly5dwtDQkG6Md3d3QwiBSCQyY88GYHrsXL9+HUeOHJlRSwLcXgJK99PQ0IDjx48jFArplocuZ80TK/pFxhiWoj3kaVKYTCZ0dXXh1KlTOH36NM6fPy8HbDIKVC1CCYVC6O3txfnz5zEyMpJwAx7y6H0+n3xRxSuvvILm5mb09fWhqakJfX19GBgYkAo0Xuh+rhRBIoaGhnD69Gl8+umnus9fe+21uMYJ9ZuqXDVNg91ux9atWwHoN65RhUe8tqmfffbZZ3jllVfwyiuv4Pr167rvo9EoPB6PLNADblvwTU1NUgFGIhH09PSgr68PFotFev0q4XAYV65cQSwWw7Vr19Dd3Y1oNDrD+08k+IyoXn+yil71tIUQcX+bmZmJUCiEq1evwuv1ympyYDo9kZ6eLpXzxx9/jLfeekteLxqNwufzydSA2h6Px4OWlhaMjIxACJFw18FPP/0UfX19OgHY39+PCxcuyGeg7kGgKpRIJILjx4/j448/RkVFBZ599lmEQiFdm+L14cjIyKzbu7788sv46KOPMDY2hvHxcXR3d+PFF1+Ue6fTtY2KXn2WwWBQerzRaFQ3x69du4bOzk6dR9/b24sXX3wRL774oqzmB2579Or/k2FwcFDu3mikr68P169fj7vihwo8u7u70d3dDbfbnXDTKnXeqOmfWCwmFadx/bgxRB8vjH/t2rU5dw1VFf3U1NSMfUCoz2OxGL744gv5rg8yQDVNg9PphM/nk8uHgemi2sbGRhQUFCAtLQ3RaBQ3b97ET3/6UzmmotGoHMdqxIJWC3i9XoTDYdn/ZHReu3ZN92Kq5VT0XIy3yKjeoaZNVz8PDQ1heHhYFpBomoa+vj5Eo1H09/dL75pyk+fOncPk5CQyMjKwZ8+eGedXi4+oWG02i5gU/fHjx/Hhhx/i6tWrqKysxNDQEAoLC5GRkYHW1tYZHn04HMbIyAhGR0dRUVGhU76pFI7RpJiYmMDg4CAGBgZgsVik52ZEtZLVIhshBLZs2SIV6Pnz59HS0oKtW7fqlJyxFuLHP/4xNmzYgAMHDuhynP39/SgoKNA9M2orCSpS9FevXpVr5n0+H06ePAmv1yuFTTAYRF9fn5y8ly5dkmuwKYwbCoUQDod1hX0vvvgiJicnkZaWlrBPQ6EQurq6ZIGXpmnYvXv3jOMTKX7VuzF6lps3b8bJkyfh8/mgaRouX74Ml8uF9evX4/jx47hy5Yp8RtR3pORGRkbw6aefIj8/H9/+9rfjCi41fE9e8vj4OLKzswFMF4/5fD4UFBTI3/T29sLr9Uovmp5BV1cX3n//fUxNTSEtLQ2xWEy+Ac24eUokEkF3d7duzwNqX2NjIzo7O7F3716MjIzMKPAMh8PweDy6KEIkEsGVK1dkgaA6dlWPXjVEKM32zjvvwO/3o7S0FNu2bcPly5cBAJs2bcLVq1eRn58vjXSTyYTR0VFZNGYsxjMq+kRz/u233waAGVXuxt8YQ+BTU1MyCuVwOHD58mX09vbi+9///qznUQ0ntQ/mCt2rn0ciEZw9exZerxdOpzNu29XjhRA4e/asfAOn8b7Uf6vvLdA0DevWrUNdXR3+6Z/+CcPDw6isrERzc7NcIrhp0ya0tLRgcnISw8PDyM/Pl7KBKvgBfYTK4XAgHA4jEAjg+PHjOH36NGw2mxwndG/x2rjUsKJfZIxhYLfbjaKiIkQiEZhMJt1ymY0bN2JwcBDd3d2yIC8cDuuW7WzevBnp6en453/+Z1y8eBFr1qxBe3s7IpEIHA4HBgYGMDU1NWtInSYzvTfdZrOhr68Pubm5qKysxO/+7u8iPT0dPp9Pvne5oaEBb7zxBiYmJpCRkYHi4mJcvXoV4XAYBQUFugK2wcFB2O12nbBWUSf+z3/+c9knXV1dcdd0U8gwLS0NHo9HV5ikrhqgLU+9Xq/Oo4/FYjMMCFqOaDKZ0NnZiZs3b6K8vByhUEjm6tT+UxUHCYdQKIRQKKSLqpDgikQiePfdd6UAognt9/sxOTkpDb9IJKJbxjc+Po4LFy6grKwMNTU1M/piYGAA7777LoaHh+V1Ozs70djYOKO62ihAyShTQ/dTU1NyzADT+cO8vDzZz9TOsbExBINBNDU1zVjX/MUXX+DRRx/F1atXMTIyIiNL6o6BFB2gNebXrl2DyWTCmjVr4PP5kJ2dDY/Hg/fffx/RaBTbtm2TfUZzRX3usVgMY2Nj0DQNPp9PelvA9BicnJzU7c1+5swZWK1WPPvss/IlLbFYTO55EA6HEYlEcOjQIVy8eBH79++f0ffG1I7az0NDQ1IZx1P0asonFAphYmICLpdLrq6h/Rfcbrcs1rPZbDCZTLrXwlI/qM9wtmeeDOpvSB4QPp8PPp8PoVAIg4ODiEajyM/Pj7u+nc5TWloat9DRbrfPSPvMptw8Hg+8Xi+6u7tnXfZI56G+CgaDGBkZkXtFqM6IWqgH6D19Grs0R86cOYNgMIi1a9eiuroao6Oj6O7uRjAYhM1mk7UiR48eRXFxse5eAeiiNsaxTG0Oh8PSqPb5fHJsLjWs6JcIEphkIdP6TXrIgUAAOTk5sFqturAkKaj8/HwMDQ3JtZc0oN1uN/r6+hCJRFBTU4OPP/5YCq5Ek4iUz8DAAPr7+xEIBORa4p07d8Jms8FqtUovye/349SpUxgcHITb7UYoFILFYkF2draMItB5//qv/xpWqxXl5eVSqI6MjKC7uxs1NTXIysrSTYYvvvgCmqbhK1/5SsLcr6ZpqKurixupSLSXtdGjV78jKC/f2dkJYFrYWiwWDA4OorOzE93d3TCbzQgGg7I/TSaTbh3u4OAghoaGkJGRAbPZjFgsBofDgaqqKlgsFvj9fp1QaGhoQGtrqxQ60WgUExMTaGpqQltbG/bv349wOJxwP/i+vj6Mj48jFArB6XSirq4OX3zxBT777LMZRlK8HL2maVK4ANMeW1tbm/TOSTAalyjROUgoqsZaW1sbHn30UUSjUTgcDgSDQZw/fx5ZWVly57tTp06hs7MTQghZl2CsDzhz5gz6+/uRk5OD1tZW+Hw+9PT0wG63y75SnyMJbVWghsNhNDc3y7XRdA23242cnBy8+eabWLt2Lfbu3YtYbPqtkWazGYFAQEbQmpubpbGnQtefmprCxMSEFO6Dg4M4efIkSkpKdGMyGAyira1N16/A7WI11RAIBAKw2+2or69Heno6gsEg/H4/NE3D559/jsLCQplymc2IV8d6KBRKaj8O9TfG8/r9fjQ3N8Pj8cDhcCAtLQ3j4+O4ePGiLrp448YNnD17FtevX0dOTo4uKuB2uzExMYGamhqpTONd29imqakpDA8Po7CwcM77oGc5ODiIqakpBAIBGaEkY5/mXLzajHPnzsn5TGMyGo2irq4ODz74IIDb0ahgMCgjPJOTk+ju7sbo6Ciys7NllHNiYgKXL1+Wy6dp3qjOSTQalSum0tLSsH///oTO0WLDin6RUT3LmzdvwuPxoKKiAkIIDA4OIhAISKueQr8DAwOw2+0665r+9vl8OHbsGJqamlBfXy8FmdlsRn19PaamptDT05NQ0ff39+PSpUvo7+9HY2OjDFMGg0E5uEkA0VrRL7/8Ejdu3JAKmgQqQZOFinCGhoZQXl4ujzl37hy6urowOTkpc5JWqxVf/epX8fOf/zxuYZsKGSY0WeZS9GoO1/idmor4xS9+gZMnT+qWGFosFgSDQXzwwQdoaWlBTk4OPB6Pbj2vquSmpqbQ3t4u15+Pjo7C4/Ggt7dXJ+y6u7vR19eH6upqubuZy+WSgnxoaEjeJ1XSx9sPmwogjekI9W14xvs25uGpRiQnJwd2u10qf+B2xMLr9WJqagqTk5O65WxkzBiNMlpGSobLpUuXkJmZKQ2I0dFR+P1+GbqNRqPIy8vTKfru7m5EIhEMDw/L6zQ2NiIrKws2m21GESGNVTUnHolEEAwGpVeck5OjK6RqbW3Fxx9/DIfDgcbGRvh8vhnjKhKJzFi/TR4/MD2HTCaTNKwogkTGE7WnoaFBt3ESzaubN2/KPu/s7JRpq76+Pinov/jiC1y9ehXV1dW4fv36jHMneuESPaeBgQE0Nzdj165d8ruJiQlcv34dNTU1utREd3e3NO6MRXRkbKgKanx8HK+//jrq6+vhdDpx4cIF/P3f/z2sViui0SjGxsZ0O8W99dZbOHLkiOwv4y6efr8f7e3tqKyslJ9r2nTRHI0bh8OB06dP4/Lly3FD+F6vF83Nzeju7pZpIXqmNFa6u7sxPj6u2+CK7re9vR3l5eVyrPT19aGsrAwmkwlerxcWiwUdHR1SVtMcpsK+zZs3y3OGw2F0dHTId90/++yzukgCOW9klA4NDWHDhg1yFdFywIp+iaDQED1kVVCRh0x5rZaWFjgcDrzxxhv4wQ9+gFgshqtXr6KxsRHj4+O4fv26VEpqWCo7OxtOp1N6DPSdyWTC+Pg4rl69Kl9/evDgQXi9XhmGUkOjN2/eREtLiwzXTkxM6BSJpmlwuVwoKChAV1eX/Hx0dFQWtdBxwG2h5PP50N3djcHBQZSUlKCnp0caF0YvnARaJBJBe3s7srOzMTU1hd7eXmRmZkLTNBw7dgw7duyQQsHtdksLWs09G0OTwLT3qBbqANNKu7u7G1lZWQiFQvB6vWhra5N59Gg0itHRUamU6fzAdFiyvb0dHo8HJpNJGnC0VS8pDrfbLc9ls9mQk5ODpqYmBAIBec/BYFCmbrxeLzIyMuR3qoJVq+Z9Pt8MbyxeiNloDBhz9eo9Tk5Oor29HWNjYzLMT8VLx44dQ1dXF8rLy2EymXDu3DmZAohGoygpKUFZWRnsdrssLrt69SocDoeMZk1MTMDj8eDEiRMwmUxoaGiQue5gMAiz2azz7N5++225K6NaKGnc3IkE6uDgIKxWK5xOp/S+Ojs7YTab8Rd/8Reoq6uTEQG1DyKRCPr7+3H16lVs2bIFwPSyvpGREbn0jfp2fHwc//iP/yjTVX6/Xz6rgYEBNDY2YmpqSkbuKEoXCATQ09ODK1euYNu2bZiamkJfXx8mJydRXFws0x+0sx5dkzbT6e/vj+vVU7sGBgagaRpaW1tx+PBheDwetLa2ymrv7du3A5guRDx+/DgGBgawY8cOaXB89tln0ismuRSNRuW48Hq9+Kd/+if8xV/8hdxzwBhNIM6cOYPh4WGp4MkJaWhowLp169DT04Oenh7k5OTI56GmyIDpaNu7776LmpoaKdMGBwdx8eJFPP744zrHQ/XIgduylnYjVe/nxo0bGBgYgMPhQCgUQnZ2NoaGhuQcnZycxK9+9SsA08p9ampKGqEURaDUVn9/P6qrq6VRSPU44XBYV/hKOoBkaiQSQXp6+qybUS02S67ohRAVAH4GoAiABuAFTdP+b8Mx/weAHyht2gigQNO0MSFEB4BJAFEAEU3TZm6kfAfh9XrR0tKC6upqWK1WdHV1oaysTCqz0dFR6RGQBWiz2SCEwPj4uFxr2dHRgcHBQTz00ENygNCAIyuaiviMoWqTyYTXXnsNFy9eRGdnJ/r6+mCz2ZCZmRl3i9bOzk6EQiGZRqDrqXlWMgJoQqlFZjSQ1TwYMG0IhEIhDA0Nobi4WO4jYBSebrcbAwMDqK+vx+DgIBobG+H3+zEwMICJiQm5HK6xsRHBYBCDg4Po6uqSIXhjrpoEuN/vx29+8xsAtwURrRXfvHkzRkZG5NKaUCgkq4wpr3b9+nVcunRJbjATjUal8tu3bx+OHTuGcDgsPbRLly4hEAjIXbbGx8cxPDyM8fFxxGIxFBUVoaqqCu+++y4mJiZQWFgolRoVt/3qV79CVVUVRkZGUFNTgw8//FDuuEUe1PDwsFyPH+++1f+rY0M1LH77299iaGgIa9eulcI2EAjA5/MhFovhypUrqKiokB7I8ePH0dnZidzcXKSlpeHDDz/E0NCQ9BRpy+TR0VGsX79eXtdqtcJut8PtdsPj8eDKlSsIBALIzs7G5cuXEQ6HpeL1+/1ScTY1NcHn86G4uFjuLtfb2yuNUPX+NE2T0aPx8XGp6K9duyYVSiAQQGtrKx5++GFZ70D9Oj4+jmAwiEOHDiE7OxvDw8Pw+/0YHR2V4XoS7v/n//l/oq2tDR6PB/39/fj3//7f42//9m/l2KKtk2mc+P1+RCIRWeiqFrSSkj1y5AhCoZAc5zTHAoEAWlpa4PP54Ha7pXE3Pj6OrKwsCCFw8eJFfPnllxgcHERGRob07AcGBjA5OYmuri7Y7XakpaWhrq4OQgj09fXh2rVrqK2tlbUlX375JTZt2oSOjg5dmJrms9vtRk9PD0ZHR+NG1S5fviyjELTBkslkwtjYmNz+dXx8HJcvX5a1DUZI0dOujUII6UmbTCZ89tlnUiaRDCIoXeP1epGeni77j4xE1YB0u93Iz8+X16KVMzS/iUgkohtrExMTMJlMKCgowOXLl6Wyf+655+RzmZycxI9+9COUlpYiLy9PGnFqAR/NxWRWWS0Wy+HRRwD8O03TLgghXADOCyE+0TTtOh2gadrfAfg7ABBCPA3g32qapiYtH9Y0bfbXl90h0DIrn88Hl8sFIQQ6OjqkQFI9+46ODrnDWk1NDTRtegtIUq5ut1tWJ6s5Shp8JLAIUtLqRKTBdPXqVd2xJEzUkD9FBmiAq4NzcnISZrNZGgPkXVKVqapU1Cr7K1euoK2tDZWVlbBarRgYGEB+fr7u+EOHDiEWi2Hjxo2IRqPo6OhAS0sLysvLpYEUi8Xg8Xjw4YcfYnBwEOvXr0dRURE6Ojp0G6qoBsT169dnrNseHx/HxMQEJiYm5H2QUCDDhcKsFLEgYUWCwOfzITMzE3a7HcFgUNZjUJ/Tu9/7+/sxPj4un0ksFpNKPRQKQQghq8YjkQj8fj+ysrJw6dIlBINB3XvtJyYmkJaWpvNcSDGPjY3hww8/lErQ4/Hg+PHjyM3NlV4nebxOpxPj4+Po7+9HJBJBb2+v9HrGxsbkPTocDt1Yo5B/W1sbHA6HXGJEe0A0NTVhbGwMRUVFmJycxPnz52Xfezwe6a2HQiGMjIzI2gfqm2g0Kl8EVV1dDWBaUfT29iI/Px+jo6M4ffq0VOR0XhLg9Dk9Q3pOaj0JPSM1dUPbAIdCIbS1teFv//ZvcfbsWemR0p4Kvb29eP/992X/2+12eL1eWQBG84aUkjpn1UjM8PCw7ONr167BZrMhPT0dgUAAkUhEhoop2kTKjsLJV65cQSQSwe7du7Fz5065CycZCBkZGbrnTanBTz75BP/4j/8IYNoZoTXdNHZpHqt56XA4DLPZLJ/9zZs38fLLL+PSpUu4du0aampqkJmZic7OTjQ1NaGwsBBOp1NGoUZHR9HQ0CDz4cDtyIO6qkEtmiNZMjU1hf7+fuTl5cm5rW5VTY4PPVua22azGaOjo5iamsLIyIisj8rOzkZTUxOGh4dluJ5qR4LBoDRwjXUhqrz0+XwIBoPIyMiQKRev14sbN27g6tWrsvbJ6/Xi+PHjMJvNKC8vR01NzYwVPsbagaVmyRW9pmn9APpv/XtSCNEIoAzA9QQ/+R6AXy91u5YKr9eLQCAAj8cjw5qAfo2tWtEthJCDvre3F3/5l3+J9vZ2VFdXo7u7G++++64clKoAUQWXilrQpypqGqgETRZ6dzjlmTMzM+VyK1V5Dg4OygIbVan19fXB4/HIz6empvDJJ59ACCFzjcFgEOfOnZN5PBIopEQmJyelIqU6hlgshs7OTpnXpnMLIVBcXIydO3fiJz/5CXp7e6WADYfDaG1tRVdXF+rq6qRQVSvwqTo7EAjInDQti1HzfJFIREYg1HRDMBiUa4ypb6gvwuEwLl26BJvNJturRk7o+m63W4YrqR+oOj0rKwtmsxmnTp1Ce3s7CgsLZUFTIBCQXpamaThy5Ijch4H6yWQy4cKFC+ju7obH48Hk5CR6enpk6oAKi/r7+xEMBvHll1/K6mKTySQ9GofDoRsDwLQgpZQD5dvHxsYQCoXQ3NwMm82GtLQ0WcBJ48/n80kve2BgQBYHkmGqrrOne6O9CcxmM65fv44zZ85gampKbmlKbxIkJUVjn5bGUQ1BIBCQbz2kZ0ARBHrmZGz09vYiEAhgcHAQ4+Pj0DQNOTk5GBkZgdfrRV9fH5xOp0wzWK1WdHR0yHXSZMBrmobR0VF0dnbCZrPBbrfL/c/pel6vV9YR9Pf3y7bRNsm0fwEt0aRdH9va2lBfXy+LN2nPgNLSUrnskDzqWCyGwsJCuN1uxGIxvPPOO4jFYrh06RLcbrdc1/3pp5+iv78fIyMjcmWOsYCOohMWi0UW21Fo3mQyYWRkBEVFRcjIyJDV+TSXvvzyS11u3Ov1ymgabf5FW0T7fD4cP34cdXV1cv8No0Kk50by0Gq1So/eZDLB7XbLNgKQxqff78fIyAhycnJkRJDeF9HZ2YkHHnhAV7Ogyk4aWxRRo5QUALz55ptyDJhMJvh8Pmk4dXR0oLa2VidDgFWo6FWEEFUAdgA4neD7dABPAPhz5WMNwMdCCA3A/9Q07YWlbud8GR8fl+vmybtRd71TBycp+4mJCfT398tQJgDp6cRiMbS2tiIcDsPtdsvNO1QFqS7n0bTp9flr1qyB2+3G5OSkFKY9PT260D2FvtTlVD6fTxabDQ8P64rxaKDThAemJ/Lo6KgsJNM0DRcvXoTX68W1a9d0lbsUmqS2Xrp0CZOTk9izZw+uXLmCcDiMiYkJfPzxx3KTFSGETkAC00VgXq8XV65ckbk2ugfyMP/bf/tvOHjwIN5//32Mjo5i06ZN0ugixTo5OYnJyUnp0dO+BiSsKbKQlpYmBXI0GpWFX9evX9cZEOQFkYLIzMzE+Pg4MjIy5PnGx8fR1tYGt9stBRx5MVRZD0B6GX6/H/n5+dJj83g8cjcz8g6B6Xxmeno6qqqqpKczNjaGcDgslwSqOUNgOm9IyvjGjRvyeuSR2u122dd0PbXwi/pK3QWsr68PLpcLV69elStDyMAgQ5fqU2js0Tlp2SJFV2ickFKkFAiFZkkhEaqB1tPTIyMp8ar9ibNnz2JiYgKTk5Oy+Kq3txeTk5O6SBI9e1plQIqQlmadPHkSzc3N8nMaJ9Q+MmZo+SHNSbrf4eFhuccC7bdB39PzVPsfuF27QcvKPB4PMjIy5FyjaMLU1BTcbjcsFgt6enqQlpaGiYkJGYo/fvw4GhsbYbPZ4HA4pKFNY8Fms8Hv90vjrKmpSS4JIxly6dIleDweeQ9ms1nWGlCx5dWrV2GxWOByuWTqTm3n5OQkgsEgAoEAhoeHUVBQINfTk8I1evQkT1RjnIzVvr4+BAIBZGZmIhgMQggBs9msS0fQ3KPUQjQaxdGjR+H3+7Fjxw7ZHqvVKoujhRCYmJhAe3s7iouLEYlE8M4778iX59C4oPFCq5toRRORzMuKFpNlU/RCCCeANwD8G03TJhIc9jSALw1h+wc1TesVQhQC+EQI0aRp2tE4538ewPMA4r7vejkgQa+uAxZien9xWvah/vH7/dITI0FLA5Xy2zdv3kROTg6A24VdpKyuXbsmBQIpcK/Xi2h0eoOXzs5OXaiXJqbqqZMwBiBD0iMjI/IaxsI5KvLbvn07qqqq4PF4MD4+Lpd79ff3o6GhAT6fDx6PRy7PEULIiUkeOxkQg4ODsFgsUjlQ6oIK8oaGhmAymZCfny8V3ujoqExvvPLKK6iurpb3RpuwUOiVohUU1QiFQujv75f3NTg4iGPHjmFwcBBms1luWkLtsFqtOsFLAkVVHhQhIOPIbDbL36h9RyFaUnaqEhobG0NxcTEuXLggVy2oVdBUHe7z+aRHSJ6Dupynr68PXq8XNptN7tJFr0guLCxEWlrajPXZFotF5ykl2q2RjFn1+VGYX9Omc+VUZEUGhvrM1bSQaviR8Tg8PCyFMb0amaIdVNtCfUZzzev1yrRHQUGBVJyEOn7V+6FVA/Q5CXa6N1ImpMAcDgcyMzOlUUxRuPfeew8A5LxVd3VTC2VpfnZ1dcnoFC0/pAgHtZW8clIa9Pvu7m58/PHHWLdunfSuyUhSj29oaJBpoqGhIdhsNmzZsgW5ubnyfpqbm2G1WjE4OAiXy4VAICDD3aoRRc+WtiVWjZFQKITCwkI0NTUhEomgq6tLt0cFMG0YkuOQnp6O2tpaeV46j9frlbKL3shIRZ70/KlfySloamqSdU3qc75y5YqsvRkbG0NeXp5U1CRrKWyvGg9UkEvPg95ZQIaaOl+sVquUD1T1T+OHzkcRu+7ubjidTtk+OteqU/RCCCumlfwvNU07NMuhfwBD2F7TtN5bfw8JId4EsAfADEV/y9N/AQB2796d+i4SiwANEqpst9lscLlcGBwclEJKXXYRi8Xk8in6rqCgAD09PdJroqpPdZDR730+n1wPTEKawtLA7W04yUOMRCIYGRmB3W6XRVA0UWgi2+12KYRoAlEYmgr2MjIycPjwYaxbtw6Tk5OyWOjmzZtybTSFrSk/C9zOYbrdbly8eBHZ2dkyzBaLxfDWW2/h/PnzMueuaZqsNs7NzZUbuwC3BScZV1SYR0KRli6qQttut0tBSG+SImVF7ykHpjfqUavdje8Ep6gGLWuk4sjCwkIprEloqYpcjTxQrpCefSwWk2t0aQvQqakpWd8BQCoFCk+PjIzIwkWTyST3WSBjhiI6qoFiNpt1BZm0PFBdckZRDvX/dN+01bKqCNLT0+X11bETjd5evqiG6YFpha7uk6A+E7PZDJfLJZW/Og7p71gshosXL8LtdsswNrWZ/lY9aGC6OFN9+REZ1fRcfD6f9ILJ46PCPOr78fFx6e3GYjEMDQ3h8OHDKC8v1+Wc6RjqA2rfzZs3pRepQvOf6jeo/0jJhUIhmM1mDA0NScVSXFwsN7WhY0OhEFpaWmQUiNrS09ODQ4cOoaSkRBYKkmKniKHL5dLtH0FjX21Ha2urLNyMRCJyTTjJoGvXrmF0dBSBQAAfffSRbi8QqvMhw0TTpvP+169fl7KTIhhG5Xrq1ClcuXJF1i58+eWXyM3NxdDQkKxPoHSM2+2WcjUUCmF0dBTBYBAVFRVyDJGBrBqpNN7b29tlzYgaUVHrLchgpd/RMwMgxxS9lpwKUbOzs6Uz09raio6OjmVzSpej6l4A+AmARk3T/n6W47IAPATgWeWzDAAmbTq3nwHgcQB/s8RNnjdGJX7z5k3k5eXJJSoZGRkAoBPusVhMhtKEEHLLRL/fL5U4DSjKQZHgUpdr0NrUl19+GY8//jj8fr8cYLRz2MTEhMz1kxAaGhqSYfZAIKALYav3RMKTitjoPFSolpOTg8bGRnR0dOiWL5lMJqSnp8u8HYXN6Zytra0YHh6WudD09HQ50Wl5Cy3voU1NjGFotYiGPL3JyUmUlpbqFC1NUlLE1H/kLQOQS6HodzThVY+QCrdopza6rhomVz1CuiYJF7puf3+/fMMXCTl1eQ4ZEFSlTLuW0f1T/5BnQkYCrSlXc8Z0bbfbLVdg0OfA7ZUfdM+0FNPn8yEjI0MKU9WDUqH+o/FGykQVoPSsqE1qSJw2M6K13RTpod+rldrhcBj9/f2yQJEiVVRcF41GZXiZ0iJkqNIOkGqUha5rMplgs9nk99TH6nwTt9aXk2FM9RgAZAqAjDoaF+r4oGfgdrtnGC7A7X3bqU3qvCHvMhQKITc3F6dOnZKRP2obKT5g2run1QtUpEmhfRrLNP7pGmpbqF/pM1q+mJaWhqmpKXg8Hl3kjDxtMqDJSKBqdaptUOctpbImJyfl3KF5Q2lPtWaAdu8cGhqSNT9kvFssFhmZIijKZLfbMTAwIPd2oHmp1j01NzfLDZ/UtILJZNJFp1SZYDKZpOFt3C2T+oCeZ3NzM6ampuTGSlevXsWBAwdmzKWlYDk8+gcAPAfgqhDi0q3P/grAGgDQNO2fb332bQAfa5qmvpmlCMCbtzrYAuBXmqZ9uAxtnhfqRJmYmEB6erpUUmQR05ph4HaehkJ+arjU+MrVWCwm8+yqoiVLmkJeX3zxBaqrq2e8QckocOmzqakpnDx5EsFgUFaZq/lFCjHTICeBabFY0NDQIBXX8PAwjh49Kr0CYw2AuLV8UM0DB4NBfP755zKUS94JXUtdEUBroouKiqRwVZUHCToKwWVkZMiJRrvVqQYWeTuqYaYWSVJf0b2qhMNh5ObmymdE3qC66Ypq6avjg4SSWoCm5nRv3ryJ3t5eaeBRwZlqMJAyJM/fbrfL/unt7ZURGsqXqm2i9wyowpzaRv1BxV90r4FAAOfOnZMeO40V4/hUx5cq7EgJU39SP5BBRX2iPgsyAOi5UZ5fjWyNjY1Jj4zGWjQalakW2tGO+ow8SwrRZmVl6YyReP8m75PmgJq2UQ1at9uNwcFBucukGk6ndpFnPjIyItupos4X6g+v16szcui7I0eOIC8vTxctIVlCsoDWidMcMJlMMudN5yHDSDUyqS10/+p1aeUGRQ8pZ03OBKWKaKxlZGTotoMNBoMYGBhAMBiUuyHSCgCjQa7KQ9Ugp2iEulEY1dvQElQ1JUNFrLQ8mdJYNEbIY6f3HqiyRZ0j1DbV6Kd+oXFhJBaLybQMFXKSIfrAAw/MOH6pWI6q++MA5nwDiqZpLwN42fBZO4BtS9KwJYA8ZjUUTspY0zRd4Zg6oNXwaCgUkpXMZE1aLBZMTU2hs7NT5ldjsemtV+l3RG9vL3784x/rCuYA/W5zquKORKaXWGVlZUkvmtoLYIZ1TErc7/ejpaVFN9iNXrc68MPhsO791KoHTEZFV1eXjHpQ+6j/gsEgWlpaEAgEsG7dOqkMSFCp3gR5eSRgaXKOjY3plBNFDtR+ouejYsxTa5qGc+fOycI7UlZk9NB5yPtXnxGNDWPEhKIEtKab2kAbGNHxdN+0Lzit8qBtdtWIBIUdVUFOy4MikYiMHJGQVMcK9R+Nz7a2NpmmoXOpBpDafx6PRyogNdypevKU51cNX7o2RVysVqsMZRtrJOg66quT1TFDRjWNHVoiRopG0zSdoqVnEM8Ypr/pmvQ79Tkai00J2vCG+pruhYpMAeiiH2qahNpEbac+pr/p+avt8Pl8cpklGXkU9SHvW1VcNNZovBjHvFHhqSkeMoJJ1qWnp+uUodlsllEI9dnRdTweD9xut9xrQO1zY7/T9/SMKP9OKTLVIDGeiyJMWVlZsq9o7pM89Pl8uHnzJqamppCTkzNDFqqyk9pH90/3pI53dSyTEU2RO/ou0X4CSwHvjLcIhEIh+cpVmkiqN0eDj4pY4lmIZMH29fXJ36mDigYcCQ0AshaAoO9HRkZmKDlj2F4VHBR6Uj15I0bvl6qeaXDTuQYGBnQ5OJpoVGRF90GTjHKPU1NT8Pv9UgAKIZCWlibDjiTcaXkVFaqRRU7eEi2fo3oDWnvu8/lkykDtL+PfRiWvfq/idrvlZjF0jySw1FSA0XCIdy56BuPj4zLsrh4XCoVmbAlLAo8ECaURVGOTPBxA73HT8k+KStAzUQU9jWN6VuTt0D15PB7dtqdqZIM8JeM56Tg1NG7sEzXSoOaH1aWh5EmqxoZ6LfKWSYGSstc0Ta5uIG9ZjbgY+0n9jLx54Pb21LFYTEaLSGirhh8pJFJ2FN6m8ULPVPX+VdQIi9ouTZuufaHQtipPaI6rzoR6bnU80jgyKsfZoNoeKnIlw17TNN38JkPKaCjQ/hJZWVmylkd1LIx9HovF8MYbb+DYsWNSdlE/UK2Cmh+PN99IaVN/qJFC1RgmORsIBOQ21+oYNRr8dE/GSBZFFWgsUBvI0RBi+qVX7e3tqKurS6rfFwor+kWAlBR5TKp3E6/YQ1WaNIBogqqTnn5DwgHQv3KUBhCFnuh7GmTq7xKFnwDIIqh4uVdCnYw0uQjyDOj69Jk6wUhZ0/2qQkvTpt8GRqFsUl7kidDkIG+QahpUQ4YMBwpfUr6O7osq3tU2q9EV1ZtKpIyNz1zNz1I4WG1PPEVnRH0+tEWw0eAwChlVMNN3nZ2dsFqtOo9NfeZGb51CwuoYU1EFPykp1dCYmpqS4U91HwR6bqqRa7xPVdHM1j8U4rdarXA4HLoCN1KgZAyoqM+RxiZFB1QvTd3sBrj9TOOdC7g999RUhDqe1ZQa3aP6nNR0GkUtaF6oz9b4zCg0rGm3l+fS71UnALi9WRWFqcm4pTGjvk+BFF48BZYINdVC7w1Q02I0XwHIvLVRdkxNTcHlcul2AjSOA/LiJycncebMGZm2pDbQ92pRnNp/xv5U/03jhs6levwA5F4P8cam0QA0FuomuiaAGWNGjWQtNazoFwEaEGRhG7+jyaRWPKuYTCZZHKXuaa1OUFX4qxPTOFHJY4v3nnf1N8YBqBoFiZjrexJ4xhymEEIKZjWMC0Cuz1U9F5pk6oZDqkIiz5n6hMLXFDpUDQVNm869qeFv6gPjszIaQLMRi8VmhJzVPoyXApgL8lTj/U7NoQP696HTb9ViIPqbFI36W/K+6DnM9exVZabmqqkwkLxTNV2h/laFlDR9Z5wP8Qwc1XhVP0/UxzQu6L7IMCXlN9f1VFQDiVAL9Oie1JA0pROMv1PXc6sFl4mMHRrL6tilOaXuyKi2WZ0v5Kmq6Sk1MqLOgWTHPvUltUHTpre0ph35VONE9ZZVSMmpkS8jZFC43W6cP38ek5OTKCkpkdvaUgokkUI2Yhzj6lyJRqOy9oS2YVafofH+Z/s/3Z/xXkguqu1J9MbKpYAV/SLg9Xpx9OhRFBYW6h4mKQMSuGpuT4WEZzyv2ujR02cAdCEn42+MXiER77PZPHm1jclAwsnomajWrNG6p+ON69WNxwK3FYUa2qMiIgoV0uSl8C8t8TEqZiPJCAxCFaD0W/X881H0idoV77t4CpXqJ1Rhr+bZ6TMSPD6fT4YZZ7t3o9dIxGIxWdhHXt5cIWBVUcRTrEbUlAApRzUSkOj38ca0anzOdT31/ypqLYB6XnW5XKLzk+IjQ3SuttC54ikOMrISGUrq+Ff7Qt2BMN7v5iJe5IeMzt7eXl30DZj5tj21HTRe4h1D45nGKPUxvetCXQmTDGTcqmF19feUvqR5lWhcGQ3DZGQsRR3UZxWN3n6XwHLAin4RIMuMKp4JGqzAbQs1kcKkt3LFE5TJCv9kf2MkGQWXTHhPTUnQeSm/muj3arELFdTF84YI8iSMnwGQYVnjuWkHQbXv4507FY+eoiDEbJ7iUhBP+BtfJRvPGzWeQw1Dz4b6TNSCMVKMqoExF8lEj9TrapqmiwLQtefDXL9LJtUSz6tTw/LJREeSuVai9s02P4wk82wXAt2DujUz/a3KPyPGav5Ex6gpP6rwV2VEKlCqgVKkav9TBFC9p8XC6OAQX/nKVxb1OrPBin6B0MYHQHxlqA78RF6ecc1xsiy1MkmFRAJODbHGSycYhRa9InU+xEubxIsKzHYPyaKGLu9k4hmOpKDV5VzzQRXScyk44+9SuYaR+bSZjIWlfl6LOcbikaoSSiX/vlCMS3pnu34y92GMzlH0LtnCQSP0nnujkU7Xoo2RFlvRx2tvNBpFU1MTdu7cuajXSgQr+gVy+PBhqej7+vqSLr5SUUOuqQyyxR6QCyFRW9TPjWHReKSiMOL9Nt65lkq43+lKPhFzefpzMVtoe6kwel+JQsKzcSc8r+Vuw51wz/FIxSgk+Ujr9ed7T1RXQksCjSynPCXHb7lgRb8I0KChN8ElItFAMoZcVytLLXTmqpJlFoc7oU/vJCP3TmY5n9VSKC5Nm15GR3vLG5dDzoc7ZezQplTLASv6RYCWuoyMjNwRQpCZhp8Fw9z9UH1TqqnN2c53J9Df379s12JFvwjQm6CWMxTDMAxzr0CrNVYTbrd72a6VeqKLmcFC8kYMwzDMvcdyboHLin4RWGhxE8MwDHNvsX79+mW7FofuF0BDQwMuXboUd5c1hmEYhknExYsXl+1a7NEvgBMnTsjtKb1eLyt7hmEYJimuXLmybNdij34BnD9/Hi0tLQCwrC8oYBiGYe5uioqKlu1a7NHPE9pv2mKxyPdiMwzDMEwy0EZrywEr+nlCS+nsdjsmJiZY0TMMwzBJs5xRYFb084QUvcVi4fw8wzAMkxL0NtPlgBX9PKEXa1gsFl5HzzAMw6TEcuoMVvTzhN5+ZDabOWzPMAzDpERvb++yXYsV/Twhj36+r1RlGIZh7l2Mr8pdSljRzxMK1w8ODq50UxiGYZi7DItl+Va3s6KfJ5FIBH6/H2NjYyvdFIZhGOYuY2pqatmuxYp+noyMjGBycnJZwy8MwzDM6sBsNi/btVjRz5NPP/0UIyMjmJiYWOmmMAzDMExCWNHPk2AwiFAoBK/Xu9JNYRiGYe4yTKblU7+s6OeJpmkIh8OIRqMr3RSGYRiGSQgr+nmiaRpCoRDviMcwDMOkzHLuv8Jvr0uR4eFhfPLJJ+ju7pbb4DIMwzBMKiyn/mCPPkX6+/tx+vRptLa2IhQKrXRzGIZhGGZWWNGnSCQSwdTUFEKhEOfnGYZhmDseVvQpEgqF0Nraiv7+/mXd8IBhGIZh5gMr+hS5cOECuru7MT4+zjl6hmEY5o6HFX2KDA0NAZiuuueKe4ZhGOZOhxV9itA7hDk/zzAMw9wNsKKfJ1xxzzAMw9wNLLmiF0JUCCE+F0JcF0JcE0L86zjHHBRCeIQQl279+WvluyeEEDeEEK1CiH+/1O2di3A4jImJCfboGYZhmLuC5dgwJwLg32madkEI4QJwXgjxiaZp1w3HHdM07Sn1AyGEGcA/APgqgB4AZ4UQ78T57bIxNTUFv98vQ/gMwzAMcyez5B69pmn9mqZduPXvSQCNAMqS/PkeAK2aprVrmhYC8CqAby5NS5NjamqKlTzDMAxz17CsOXohRBWAHQBOx/l6vxDishDiAyHEpluflQHoVo7pQQIjQQjxvBDinBDi3PDw8GI2W8f4+PiyvnWIYRiGYRbCsmksIYQTwBsA/o2macaXuF8AUKlp2jYA/wPAW6meX9O0FzRN261p2u6CgoIFtzcRw8PDvKyOYRiGuWtYFkUvhLBiWsn/UtO0Q8bvNU2b0DTNe+vf7wOwCiHyAfQCqFAOLb/12YoRDoc5dM8wDMPcNSxH1b0A8BMAjZqm/X2CY4pvHQchxJ5b7RoFcBbAOiFEtRDCBuAPALyz1G1ORCwWQzAY5B3xGIZhmLuG5ai6fwDAcwCuCiEu3frsrwCsAQBN0/4ZwO8B+DMhRATAFIA/0Kbd5ogQ4s8BfATADOAlTdOuLUOb4xIIBDA1NcWhe4ZhGOauYckVvaZpxwGIOY75fwD8Pwm+ex/A+0vQtJQ5fPgwxsbG2KNnGIZh7hq4fDwFBgYGVroJDMMwDJMSrOhTwOPxsDfPMAzD3FWwok+Ba9euwe/3r3QzGIZhGCZpWNGnQH9/P7/MhmEYhrmrYEWfAh6PhxU9wzAMc1fBij4FPB4Pb5bDMAzD3FWwok+SwcFB9Pf3r3QzGIZhGCYlWNEnyUsvvQS3273SzWAYhmGYlFiOnfHuan7yk58gIyMDX3zxxUo3hWEYhmFShhX9LGiahv/+3/873G43entX9F06DMMwDDMvWNHPQigUQkNDw0o3g2EYhmHmDefoZ4E3x2EYhmHudpL26IUQ3wfwDQBRTL+k5reapv16qRp2J/Dqq6+udBMYhmEYZkGkErp/SNO0P6D/CCH+AcCqVvRcgMcwDMPc7aSi6O1CiK8D6AZQASBtaZq0cAYGBvC3f/u3Cz7Pjh07sGPHjkVoEcMwDMPoWQw9lQyp5Oj/NwA5AJ4EkA3gz5eiQQzDMAzDLB4ilS1dhRD1AKoAXNE0rWepGrVQdu/erZ07d27B5/n+97+PX/96VWcnGIZhmBViMbdUF0Kc1zRtd7zvUq26/38DyADwvBDilQW37A7n0UcfXekmMAzDMMyCSHUd/Seapv0vAP9rKRpzp/Hwww+vdBMYhmEYZkGkqujvF0I8AWAUQKOmaX+/BG26Y6isrFzpJjAMwzDMgkg1dN+gadozAP4MwGdL0J47CpPJhO9+97soLy9f6aYwDMMwzLxIVdE/JYT4EYAaTdMuL0WD7iSEEPjxj3+Mv/qrv0Jtbe1KN4dhGIZhUiYpRS+EsN7653cxvY7+20KIHy9Zq+4gXC4X/viP/xgPP/wwhBAr3RyGYRiGSYk5Ff0thd4lhOgG8A6A3wPg1zTtj5e6cXcKFosFf/7nf468vLyVbgrDMAzDpEQyxXgHAJRrmhYVQpQB2AZg69I2686joqICmZmZGBkZWemmMAzDMEzSJBO6Pw0gDwA0TevVNO19TdP+r6Vt1p1HTk4ONm3atNLNYBiGYZiUSEbR/08AXwgh/l9CiK8IIbKWulF3IkIIbNy4ETabbaWbwjAMwzBJk4yi/wWAn2E6zP+/ATghhGhb0lbdoWzduhUOh2Olm8EwDMMwSZOMou/RNO0/a5r2f2ma9j1N0zYBqF/qht2JfPe730V+fv5KN4NhGIZhkiYZRX9JCPGv1Q80TQsuUXvuaCwWC0pKSla6GQzDMAyTNMko+iIAfyqE6BNCvCuE+P8KIb6z1A27U9m/f/9KN4FhGIZhkmbO5XWapv0+AAgh7AA2AdgCYA/ukRfbGKmqqoIQYlFfL8gwDMMwS0XSL7W5Fa6/cOvPPUtaWtpKN4FhGIZhkibVve7veTIyMmCxpPrSP4ZhGIZZGVjRp0hGRgbsdvtKN4NhGIZhkoIVfYrYbDakp6evdDMYhmEYJimWXNELISqEEJ8LIa4LIa4Zl+rdOuYHQogrQoirQogTQohtyncdtz6/JIQ4t9TtnQu73c55eoZhGOauYTmSzREA/07TtAtCCBeA80KITzRNu64ccxPAQ5qmuYUQTwJ4AcBe5fuHNU27I94mY7PZUFtbi97eXkQikZVuDsMwDMPMypJ79Jqm9WuaduHWvycBNAIoMxxzQtM0963/ngJQvtTtmi8OhwNOpxNWq3Wlm8IwDMMwc7KsOXohRBWAHZh+I14i/gWAD5T/awA+FkKcF0I8P8u5nxdCnBNCnBseHl6U9sYjPT0dNpuNFT3DMAxzV7Bsil4I4QTwBoB/o2naRIJjHsa0ov9L5eMHNU3bCeBJAP+7EOJAvN9qmvaCpmm7NU3bXVBQsMitv43D4YDFYkFaWhqEEEt2HYZhGIZZDJZF0QshrJhW8r/UNO1QgmO2AngRwDc1TRulzzVN67319xCANzG9K9+KkZ6eDpPJBCEEzGbzSjaFYRiGYeZkOaruBYCfAGjUNO3vExyzBsAhAM9pmtasfJ5xq4APQogMAI8DaFjqNs+G3W5HYWEhYrEYYrHYSjaFYRiGYeZkOaruHwDwHICrQohLtz77KwBrAEDTtH8G8NcA8gD8461weETTtN2YfqHOm7c+swD4laZpHy5DmxNis9mQlpaGnJwcTExMIBAIrGRzGIZhGGZWllzRa5p2HMCsyWxN034E4EdxPm8HsG3mL1YOm80Gi8UCIQRMJt5viGEYhrmzYU2VIiaTCQcOHOA32DEMwzB3Bazo50FJSQl79AzDMMxdAWuqeUBL61jZMwzDMHc6rKXmgcPhkGvoeeMchmEYJlWWU3ewop8HdrsdGRkZcDqdyMjIWOnmMAzDMHcZ0Wh02a7Fin4e5OXl4bHHHsPGjRtRWFjI4XuGYRgmJZZzZ1XWUPNkzZo1cLlcyMvLg81mW+nmMAzDMHcRFstybGMzDSv6BeJ0Opf1gTEMwzB3P8vpILKinyfZ2dnYv38/tmzZwgV5DMMwTEpkZ2cv27XYFZ0n3/jGNxAIBDA4OIi33noLbrd7pZvEMAzD3CUs5/bprOjnicPhgMPhgMlk4rfYMQzDMCnBVfd3EVarlavuGYZhmJSw2+3Ldi3WUAuE3k3PMAzDMMnCy+vuIkwmE9LT01e6GQzDMMxdRCQSWbZrsaJfIEIIVFVVcZ6eYRiGSRr26O8iOHTPMAzDpMqGDRuW7Vqs6BcIvcWOlT3DMAyTLJmZmct2LVb0C0QIAYvFAovFwgqfYRiGSYpwOLxs12JFvwhs2rQJaWlpUtkzDMMwzGykpaUt27VY0S8C+fn5yMrKYkXPMAzDJMXNmzeX7Vqs6BeB/fv349FHH4XT6YTD4WBlzzAMw8yKy+Vatmuxol8EtmzZgo0bN8LlcvFOeQzDMMyclJWVLdu1WCMtEmvXrkV2djasViscDgfMZvOybnF4t8DpjYVhNpt5zwaGWQX09vYu27VY0S8StbW1cDqdKCgoQEZGBux2OzIzM1fEu1/qayajaBK1wWq1LpmiWiwDYin7b6FttFgsHDG6h2Ej785kPs+lrq5uCVoSH5YYi8TmzZvxta99DVu2bIHNZoPJZNIpteWcoKkqk1QVRzLnT3SMEAI2m21JvHqLJbmXMc71LJZqmWRaWhqsVuuCzr2UhtJKca9uOmW1Wpf9mvH62WQy3VPG450y1kpKSpbtWvfO010GcnJyUFlZCafTCeD2PvhCCJ1wNv4/HqkMRuOxDocjJSGS7LVIASajUOMdQ9dZCsFitVpnvab6/7S0tFmvv9htM5lMcDgc0gA0m83zvobFYoHNZkv6eHpm6vXU5yCEWBGFk4qxEm98JhvZSHZDK7PZPOOYZA3Huc6dqJ3zWV4132vNhsViiXv/dytzydfFmN9Gea5pWsrnSGUeLxRW9ItMVlYW1q5dKx9iWlrajAdqFNY0yWgA0r+TmXjG44QQyM7ORlZWVlICLlnFTdeyWq1JKYZEg5gmxHwmxmz3Yjab4XA4ZvSHOqlNJpMUaokmuzppVYU4X+hZOhwOWCwWOJ1OmM3mlKIa9Izsdjuys7NTUhAulwsZGRmySJTuXVWAyT7/VCBBqApd9ZrUD8mM83jtS/aZmEwm2O32GfNNRQghn486B1Ppl0SeMs1t41gyGl/x2hXvfLP1lRBCOhapnMNsNi9oDCymgZCMIZPMMYlklMVikTVUKnP1vVGxG0k1UieE4NfU3q08++yzeOCBB+B0OpGdnQ2n0wmbzQabzSYnEk16VfCqAo8G6HwnDw3kzMxM2Gy2OQdgRkYGHA5H3PMYoQmUlpYW11OM93tVyJECjcViMxR9Mh5eImFEyqSgoGDGMdT3pOTn8gTjGQGJfmM0IuLdg8lkgs1mQ3V1NTIyMnTPOhVjx263w+FwoLS0FOvWrZth3CWivLwceXl58prURjIchBCIxWIzfpfonMl60WlpaVLJ2Ww2OBwOpKenzxj3ND4tFktc4WwymeB0OhMq0tkwm81IS0uTbYnntdIYpuJZWh5rbEsyBrOxbQ6HAxkZGVL5qnOBnj9Ft2Yb//SsjFGr2dJjRkNFva7RECYjOVGhrGqc0B+bzSYNhEQKK97zWYhRQLJ0Lk+YHKl4fUpGnfrdXP0PTM8/tR/UuWuz2ZCfnx/XgLTb7XH7x2azYfPmzbNeczFhRb+IpKenw263Y9OmTcjLy5PCzel0wuVyydAtKUwSAiRwgduKN5EQMw5Ko7I1mUzYsWMHqqurYbfbpZCjY40TPTs7e4Z3OVt42W63o7S0VBoRiSZTIss7Go1KxWJUVnN5K7NNSOpro+BR799sNiMnJwc5OTmzeomkdIyphtkMm0TfUT8++OCDqKmpkcoklf0WhBByrKSnp8/I9dO4Mt6H2i6r1SqFJCl3o/KP93v1PmicztYH9IcEIymcoqIiuFwu+ZnT6YTT6UR6ero0BNQ+UfvGaKxSm9XIhPE3wLRhSdePl85SPW5N03TGj9G4my0FEG8lBAn4jIwM5ObmyntQxxEpbooyxetPIi0tDZmZmTqjXG0/EYvF5myrem9kuGdmZiZ8tonGvuqwxEPt77kcA/Va8SDjMZk0A43VeJEvh8OB3NzcuPeSqD1qvZXaF3QOmpuqAaIaW/EMervdjrVr1ya8h8WGFf0is3PnTuzatQvFxcUAbg+6zMxMZGZmIjs7WypX+tvpdMqBk5WVhfT09BnhNHWiGHPM6sC3Wq0oKChAVVWVVABk3areFA3C9evXY+3atVLIkTKIFwmg69N5ZxMm9LfRKCGhOpswUlGNjrS0NGlk0P2Tp07ecm5urgwLm81mnaVtMpmQn5+PzMxMqfioX1SPj75TPRyjMqX7IeJ5GqoC2rZtGx599FFdhCcVQyc3NxdCCIyNjWFwcHCG0ajeAykDIQRGRkYQCoWQmZmp86Cp3+IJMFKkavtJEav9YGw/KRDVW1ejKFarVXqxZPDQ2LfZbDoBrBqKfr9fJyzVcUhjmowho8FK90uKXlU29Dd5/jRH6RhSmsbrGp8x9aE6X+12O3JycqQnrl5T7WtK46iKwwg9q7S0NOTn5+v6WVUoiSIi9He8uQhMp3eKi4ulEai2g66V6JknCvtTm9X/kwFohMYIoI/sqREM+nei6IE6Vq1WK9asWYOMjIwZx9D9qNEUen6J5J0QAtFoVH6maZocGzQGjX1A90+Go/HcLpcL3d3dce9lKWBFv8jYbDbs3r1bN8GCwSByc3Plhjqk/EtLS2XhHg00igCoHhQNUDp/eXn5DEtaDampgz4ajcpzq4qM1vs7HA74/X6d8FcFiRqCz8zMRGlpKdasWQOTabrQ0OiZksBVFYnaPrp/aoM6CeJ5KPRbq9WKRx55BM8884xMidA5srKyUFBQgMzMTOTk5CT0xNLT07FmzRrd/2nvA7pXuh/6NykINaesnpswCmoSahkZGbDZbLhx4wa8Xq88Nz0n1XirqKiQnrAqOEjIA0AkEkE4HJYei91ux4YNG+R9kMIkQqGQPLeaOhFCwOVyIS0tDU6nUworuifVeyKvj8aM+txUZUnjUz0nGQc0fqh/6R5J4GZlZaG+vl5eUxX4aqqHFHxaWpqMblB/0jWp/6kvXC4XLBYLsrOz5dhWDTiHwwFN02aEZ2OxmHzm8SII1B5qhzrnc3JykJaWBpfLhdraWuTl5cFqtcqok8ViQTQa1Sl7NSVm7Fs1xUFjlRSZapwZnQCaI3RdiqbR3CQDp7a2Vhpa8e7PbrfHzVNT3xuNFPqdKnPoXhJFjAB97U5aWpqMcGZnZ8Plcsl2qEaN6njQeSorK2V/Gq+j9lVGRgbWrl0rDWmjLCMoAqbKRdVot1qt0hgAphV5XV0d6uvr496vms5dDljRLwGq50oDOzc3FyUlJXC5XCgsLERJSQny8/NnCHUSUGq4XfXKVUVN14hGozqDgCxWs9kMTdMQiUTkZM/IyEBGRgacTify8/NlPUFOTg6Ki4tRW1uL7OxseS6jwqHCLrvdjvz8fGRnZ+vaTgVn9FujB0hCXTV4VGPBZDLpiuroe5PJhKKiIhQUFMBut0uBZ7fbUV1dDbPZjLy8PGlkEDShLRYLcnNzZwh61TgymUzIzs6W91VUVCSvHU+gqYLPGOp1uVzYuXMn1q9fj8LCQnzve9/Dvn37UFFRgdzcXCkEqS1paWl44oknpFeqnlv13NR2kwFAfU51GUZhXVFRgeLiYhQUFEjD0mq1wuVyoaSkBKWlpcjKypLektlshsvlwtq1a5GTkyOfN3k/lM9VoWdBx9BeEmpNQGVlJdLT0wFMhzvpHNnZ2XGVDP0uPT1dCln1/7TlNF1DTWnQuKExq4bvSfGT0Cbvu76+XjcO6W/1OHVvDBL4xgI4GsNCCFRUVKCyshJlZWXIzs5GYWGh7BeXyyWjS0ZDMZ6xqmkagsEgLBYLMjMzpTJToyhZWVm631GfUl/EYjHEYjFd3QLJheLiYmRmZs7wxNPT01FYWKiLFAGQ/RHPY1WNFfo7kSGvGlL0bOleqNaJ0jzk/KiGqRqtJMi4ohQKPW8ygtVxWlZWBpvNNiP8npaWJscXGWU2m03KwPT0dJSVlWHnzp26MUXnXrduHR544AF5TnVskRxcLljRLwFCCJSUlMgHarPZ8PDDD6O6uloKAJfLhS1btsgCMhqMU1NTUqhkZ2fLc6h/SMCoypKUGE084HaOjHJIOTk5KCgogMPhkJ7GAw88gD/90z9FdXU1KioqdB6B3W5HUVGRnIQ0YNUQcVZWlrTCyTMhwRuNRqWAJeGRlpaGkpISOUnT09ORl5enU8D0x2w2o7q6GoWFhXA6ndKqJmFA11yzZg2A2zlZ9TlQW+l3+/bt0x1j9FIKCwul57d27Vrs3r1bGj6qkKLJTBgNrpycHLn6ori4GJs2bUJVVRXy8/Nht9uRlZWlSxvk5eWhrKxMp/wJErB0z2o0RgiBUCgkPVaz2SyVByk8elYZGRmyPqGgoEAaG5WVlTOKscgDV9M99Hlpaamu2E6N1NC43Lt374ywpTEylZeXJz1uNdyvKi6qvaBzk/FKijwrK0uOTUo90bMho4aM3rq6OuTn58taB4o2ZGZmIj8/Hzk5ObKtFPUgr5fui35jsVh0W15nZWXpCvlIiefk5KCkpETn+dE16BlSKFj1ZuOl2rKyslBRUYGMjAxs3bpVZzBT0SE9X/o9GaqFhYWyr2gsCSEQDocxODioi+So9RXA9HvTKbSvGjfUL/Fy0MaxRMQz5mhckFKm/qyoqNClEUm50zxXZaLRKYnFYsjPz5cyhtpbXV0t5U1RURFqampQW1srDVqjUa22CZiWpZmZmbDb7bId27Ztw4YNG2T6kMY2yUbVUKNnazKZMDQ0NKPflorlix3cQwghUFZWhjVr1qC7u1v+32w2Y3h4GG63GwBkHt8YdlLDkJTXtNlsMgwPTL8xz+12w+fzobCwEBaLBT6fTxfyUwVTNBqFzWaTAiwzMxN79+6VwnLDhg3o6+uT90CDUVUABQUFqKyslBOqoKAAZrMZ165dQywWQ0ZGhvSq8vLyEAwGkZ2dDa/Xi8nJSRmm3bRpE/r7+2WO1mw2Y3x8HNFoVE4MNZXxzDPP4MMPP0QkEpFtysnJgdvtht1uR3FxMQYHB1FSUoKBgQGdkIxXSUzCMzMzU3pJ1GeZmZnw+Xxy0hYWFqKnpweTk5NyspIAUD0Iu90On88n75H6kMaD0buh35MXsXfvXtkXqoAnpbFhwwZMTEwAgGyb3+9HKBTCxMQEpqam5JJKMiIikYhUCvT8SRCpXgYpA6fTCb/fLz8nZRkKhWS/0fXT0tIQDAZhtVoRCoVgNptRUlKC0dFRWCwWPP/882hsbERnZ6e839raWjQ0NOieA/XHmjVrsHbtWty4cQOBQAB2ux09PT3QNE0aKTabDV6vVxe9yMzMhNfrBQCsX79ejrWMjAz5VsnNmzcjGo1iw4YNGBsbQyAQkG02mUxSiVHajFIgwWAQLpcLTqcTgUAA0WgU+fn58Pv9MJlMyMvLw8jICIDpCE4kEoHf75fKKCsrC+vWrUN+fr7unu12O/x+v3wek5OTujQB9T/9myJOFFnJyMjAli1bsHbtWoyNjaGzs1NGRCiSEo1GZQSDInp5eXmIxWLw+/1ynlosFmRlZeG+++5DXV0dfv7zn8Pj8cBkMsn5SH2jRq3IgKQaBKP8s9vtiMVisFgscvyQ8WY0AEhGkYft9/uRlZUFp9MplSHNPbWQNyMjA8FgEDabDeFweMaKpYqKCmmAeb1ehEIhlJSUSDmXlZUlHZuSkhJ0dXUhGAzKc1gsFoTDYemskFEcDAbhdDoxNTWFkpISnYwkmZOXl4ecnJwZ/QJMy+WioiKsW7cOywV79EuAqgAKCwtRX1+PJ554Ak6nE9u2bZM57qqqKqxdu1aG/migkgCl88RiMUSjUdjtduTl5UlPggr6KOSqKjQ191lUVISsrCxUV1fL3ZhcLpd8qYLqTWRkZMgogxpSIy/1kUcekd4T5YnVtAGlACgESGH84uJimU/ft28f1qxZg/Xr1+P+++/XrTowhkotFgvKy8tnpDjMZjMyMjKQnZ2Nhx56CLt378aOHTt04TzyCKn9qifgdDplNTR5h6RU165di7y8PPkbTdNkWkC1ylWPl0LSlAogw04dE06nU3phZLCsX78excXFKC8vl8dT7QClC7KysqQyAm6/FplCk9QuNaJBx5JiefDBB5Gfn4+pqSnk5uaisrJSFy7Ozs7G1q1bZXiUfkepEsohk5InD5U8ocLCQlRVVckQL3lHDocDu3btwr/8l/9SGrYAMDU1pXummZmZcLlcyMrKwvr161FUVKTrO5fLJZ+lyWSSkSG1pqWqqkpGVTRNQ3FxsfTmtm3bhj179uC5555DXl6e7MeNGzciLy8PlZWVeOyxx6T3HQqFYLPZsGnTJhkJcDgc0oulMUPK2ul0yvoQs9msq35vbGyUNQWZmZmyDymVl5OTA4fDIcc7PQNjeoFSPJmZmSgoKJA1K+Xl5bKoMTc3VzeWKdRcUlKC4uJiGdEgY4/aRc6FGpWhsURGohotoejgE088oastUedGNBpFJBLRKXdaYqnO0aqqKqkwKfqSlpaGuro65OTkID8/X9ao0Jgig5XGEKUkSV7Rten+6V5ramrkPCWZZTKZpIw0puroWZMBqEY+bDbbjD03bDYbXC4XhBCoqanB3r175fJWNboohOC97u921HClw+GQDxqYHugHDhzAM888g127dsnJm5ubi4yMDCnQjOEuKhqiAelyuVBUVCQFAFnelGslRW82m1FbWysVDCkZCl8B0K2jJm+EhBEJSrPZLK3mTZs2Yc2aNTh48CD27Nmj8zhyc3NRVVUl87Fk3ZMgLyoqkgKODAXVYibvTQ2frVmzBjU1NcjMzJQWdzgcRigUQjQaRUZGBjZv3iyFFD0DYLpanQqhSMCTMs7NzUVRURFKS0vlBKdwnxpi1DQNOTk5UhHTd2TwqAqTvHDK46nGRU1NDf70T/8UDz30kAwJV1ZWyvsmIyUtLQ3r169HVlYWMjMzUV1dLQ2FqqoqbNmyBdu2bUNpaak01hwOBwoLC2WbSbjSGCgtLQUA+Hw+aXDQvQC3BZQq6EpLS1FeXg6XywWXy4WamhrdBjxkJNE4oRqA9PR0eDweKQQpl6l6PfRss7OzZRohEonIMUjHqsYLefIulwvV1dXYvHkz6uvrZVi2rq4Oe/bsQXp6ugzLpqWlSc+JIkKkDDMzM1FeXo6ysjJomibvifohKysLdXV1cZdNUVSMlgxWV1dLw9FYc0IRBnoXBs3jrVu36lYN0HMgBUNeLs0Ryq8XFRUhPz8f9fX1MkVA40D1minETIqMjBj6ngwSAPB4PPL+zGazNPCcTucMByMvL0+2ac+ePTpFqBb/hUIhaYCSfCJjiMYB5cEzMzPl8tPCwkKsWbMGo6Oj8Pv9KCgoQFFRkSzCJUOI5hehjsVoNCoNSzLCsrKy8PWvf13OJ4rYkcFIEQ51PrpcLuzduxfbtm2T9Ui0FFOI23tQqDIhPT0dJSUl0uChflOLE6mNy8WSK3ohRIUQ4nMhxHUhxDUhxL+Oc4wQQvz/hBCtQogrQoidync/FEK03Przw6Vu72KgKmmy7FXvzuFwoK6uTlfIRkUnZOGroTuHw4H9+/ejuLgYeXl52LZtGywWCwoLC3U5NwC6SlP622KxwOPxSOuVivBIKaqTJTMzE7m5uaivr0dJSYn0mql95OmQdVtcXCyvHYlEdF4JDWqXy4X7779fGjPkoW3atEl6fuTtqN4gAN2mQ319fejp6QEw7WVQlKOsrExOOoqKkGFEljz9TYYMCWP1WVksFmzfvh35+fmIRqMYHByUIdiKigpZ2a7WG1A7qQ/VCMGuXbtmjAkSytTWAwcO4Lvf/S7+xb/4F/JcZrNZLr0kpatWnaenp+Ppp5/G3r17UV9fj4KCAumFEmR8kQG1Z88e/Kt/9a/wgx/8APv370dmZqa8FqGOpaysLHz7299GaWkpCgoKUF9fjw0bNqC0tBSxWEwqQrXewul0oqKiAjk5OTh79iympqZ0xhIpTBqHpPjIG43FYrLvHn300bg7mKmRJCowJOW2adMmbN++HWVlZdi6dStKS0uxbds2ucEQCdb6+np89atfxcMPP6xTRGSQ5ubmoqKiAuXl5TKkTs8gPz9fKtry8nIUFBTI0DwZLVRbQ3OYlAFF4Egh0LigY4PBINLS0vDQQw/JugVVefr9fvT398t6HAAyZ79lyxYZNVPHo1rwlZ6ejtLSUl0ImeQThchNpulC3rS0NGlgV1RUyJd2ZWdny0p4eo7qPKNUAKUZabySka8a8ZTvpop6Or/L5UJVVRW2bdsmx/cDDzwgr11YWCgNdBrD5CSRkRaLxVBYWCiX04ZCIfndU089JR0ks9mM+++/HyaTCZmZmSgqKkJeXp6UzWR4G2UFzRUaO9u2bUNWVhYKCwvx9a9/Hdu3b4fJZMLU1JRuTlIBLTlLy8Vy5OgjAP6dpmkXhBAuAOeFEJ9omnZdOeZJAOtu/dkL4J8A7BVC5AL4jwB2A9Bu/fYdTdPcy9DueaN6eEZFr4b1aYKTFTs+Po5QKKSz7klhbtu2DaOjo9A0DaWlpaiurobb7ZZWZ1FRkVxvTEqPPCKq9C8rK0NTU5MctJTHVT16s9mMtWvXoqioCNeuXcOaNWswNDQkC4cAfRXwE088AYfDIYsI6T5JQNbU1CASiejCtiT86D6rq6sRDAalAsnIyEAoFJLekdlsxvbt22XOtKWlBRMTE8jKysLWrVtRV1eHixcvIhqNypA85SnVAkISPqFQSAq9mzdvykkeiURkVfSpU6dkTpDWGbvdbvT19WFqakoWP1Fb1b4hL49CkUYBES+NQIVSTqdT5g1VQ03TNOmVZWdno7a2Fjt37sQvf/lL+P1+VFVVoampSQp6GoMUCiUvZc2aNSgvL8fly5fl8rqamhq0trZKIQRACs59+/Zhw4YNyMzMxMmTJ1FdXY22tjYZFqXwp7rJE42PkpIS3ZbHGzduhMvlgtfrhclkQkVFBUpKSnDlyhUZyt68eTPWrVsHp9OJjIwM+Hw+2Xf5+fno7++X13jooYeQm5uLjz76SB5D/RqJRHSK1mw249KlS7h27ZpUDFTYR7+zWCzYsGED3G43YrEYvF4vhoeHMTIyApfLhTVr1sgIHSldMsS2bNmC06dPy/OSJ75582acO3cO6enp2LFjh6xHUKMEahGY2TxdXDowMICuri44HA48+OCDCIfDaGpqktXf9JxKS0tRUVEhlS2NdYqOqHU+NB7I4AaAiYkJXZqQ/qZlmWrIubCwEBMTE7DZbDI6YDKZUFpaiv7+fqlcH3jgAXR0dGBychIAZO0IGcYUoSRjaevWrWhsbJTpzPLycqxfvx5TU1Pynvbt24eWlhYEAgGZynA6nejr65MGhM/nkxE/uhcqQlYjNXl5eTLsHolEcOLECXg8HuTn56OsrAxnzpzB+Pg4hBDIz8+XRjTJNkqbkozWNA21tbXYunUrysvLdQXJqrFLaYTc3Fzd2FsOllzRa5rWD6D/1r8nhRCNAMoAqIr+mwB+pk3f+SkhRLYQogTAQQCfaJo2BgBCiE8APAHg10vd7oWgetSkRI2eCQngHTt2yOIjCtcFAgEp6EnBWiwWbN26VXr9wG1hnp6ejqqqKly5ckXnpdPEBqajAuvWrUNjY6Nsg8VikQpWDa85HA709/fLkO/+/fthMpmwYcMGAMC3v/1tnD17VqfAKXdHxVk0wKmNqkUcDAYxNTUllT2FZD0ez4xKVRI0lIOjEDAJC/qezm2327F+/XqEQiG43W4pEIWYrjAeHh6G1+tFXl6ebmkQ7SeQnZ0thWt6ejqGhoawYcMGPProo8jIyEBbWxv6+vqkR+n3+xGJRFBZWYm+vj55T2RUlJeX6zbuUCMVpPCp/7Zv347KykpZdKc+JxLQVVVVuqVFNpsNdXV1CIVC8Pv9chMO6js1zKiOT6qb2LFjh0xhxGIxOJ1O2ab29na5aoDGFIVAw+Gw9PYGBwfl8yfy8/Px2GOP4eTJk/IzWluuFk3l5eVh+/btKCkpkf+m39N18vLyZK43Ly8PpaWliEQi0vOrrq5Ge3s7xsbGMD4+LtMMGzduxNjYmFytAUynLsLhsAytqh69ulY9GAxC0zQMDQ1Jg9Fut2NiYkL3fOncjz32GAYGBjA4OAi73Y6dO3fC6XTiwQcfxJdffgmfz4cDBw7g8OHDUtmRDLBarbJ+QvWUMzIyEI1GUVJSAo/HgzVr1qCrqwtCCFRXVwOYjqLReu3u7m5p+A8PD8s8tZpGMEaGotGoXK2hyq709HRomia/oxTBli1bEAqF5DinVIi6n0FeXh6i0Sg6OjoQCATkOKfvybmhuUtKk1bpkDet1uSQAo3FYrrIkN1uh9frRTQalREKNQ9eWVmJRx55BBcuXJixPJZWKVBRcCwWw8aNG3H+/HkAwJYtWzA2NibPZ7VaUVNTg56eHjnvKE0ai8Vw4MABWXxI0TW6f+qr6upqXR3JcrGsOXohRBWAHQBOG74qA6BuE9Rz67NEn8c79/NCiHNCiHPDw8OL1ub5oHq8gH5XKjWUSUU8VKFZX1+vC9sHAgFZwfmtb31LTiiyWknBhcNhufEDADQ0NEgDg5aU1dfXy0FJ1dpq+IlYt24dcnNz4fP5YLFY8K1vfQv33XefzAcCkKGzYDCIcDgsf0ve+Lp161BUVCTDlMD0pFyzZg2KiorQ2NiI8fFx2Tc0QakYSzUM1CgBAOzYsQO1tbW6te/0R63IpdQATSrycsbHx1FcXIxt27bpliLSEqvy8nJ885vfxH/9r/8VtbW10hMmr6CsrAxpaWkoKCjA2NiYrBFQC/MASM+LPAqC7q20tFQX5RBCYM+ePbjvvvvk2msSdKSQVCGlVkBTaJkiCerKBdV7M45PYPpVmd///vdRW1uL0tJSlJSUyLA+MO3Zb9iwQZfPVcfszp07ZZEajUchpusq1BQMALkPAp1fCIEf/vCH+LM/+zOZUlLvj35LhWLA7Wpv6kvCarViaGgIo6OjsNlsqKiowK5du5CRkYFYLIZwOCz7MDs7W/57x44d2LVrFzRNQ3V1NTZt2oScnBwpvCORCLKzs1FWVgaPxyPHLeX7qX1UUFZZWYlvfetbspiTUky0bJMUkRBCFsru2rULLpdLKnqaj5WVldi+fbss4lXTctQHkUhEptoKCwsBTM9P8jopHQJAjgXaV8DpdKKwsBC1tbWy79VaovLycmRlZeGhhx5CUVERioqKUFlZqStCc7lc2LFjB7Zu3YrKykrdvgzqTofRaFTeT1VVFVwul6zK/8pXvoKtW7fKZ0n3QYW4JSUlWLt2rZwHFAmiJcgUxdu7d6/OeKdoizon1DFjs03vN//444/jO9/5DrZv3y5XLQghUF9fj9zcXGzevBkm03Rx6sjICAKBANauXSvfJ099YbPZ8I1vfEOXcgoGg3KFiNPpRHV1NUpLS3XyajlYtuV1QggngDcA/BtN0ybmOj5VNE17AcALALB79+7lM5XiIG4VWwSDQVmNHc+jN4bLdu7ciS+//BJut1tGA+g7qojt7u7WGQ1OpxNlZWV48sknMTk5KZd89PT0yDw0VfSS8UGey8aNG3HmzBldUchjjz2Gc+fO4caNG0hLS0NVVZUuFUE4HA54PB6Mjo6irKwMwWBQLj/ZsWMH2tracO3aNdnOLVu2SKE3NjaG9PR0HDx4EMeOHZNeNC1rIyNELdIjrFar3N1ODVOr0RMqtsrJyUE4HEZzc7M8h9vthtVqRWVlpc7aVvPZBHkp9PzI27NarXIJUjAYxLZt2/DMM8/g1KlTmJyclIJF/ZtQUxvq52oUyOFwoKKiQqYb6LmpkQvyMuj+6f+UY+7v75eGBwlO9VpkoFHl/qZNmzA0NCTPT6Ff2uSnra0NXq8XAwMD0nAIBAIyalJeXi49trVr1+LAgQMIBAI4efKkjBhZrVZkZ2ejpKRE5qHJCPrOd74DIQRu3LgBALKin3ZtpDlDnqY6b4Bpj+8P//APEY1GZRiY+sTj8aC3txehUAhOpxMlJSWoq6vDzZs3ZV5Y0zRkZmZi27ZteP/992V0i6Ja27dvx9mzZzE5OYmysjK5/4PH45G1G9SmtLQ0GdGigjR6Fmo1Po3lQCAAr9crl77R8j3qK3VVjdFh2LhxI9rb2+W+HWRg0ooJl8uFjo4OaJqGsrIyPPbYY/jkk09w48YNKafuu+8+ueSXjDC1b6luoq6uDhMTE+jq6kJxcTGEENi+fTsKCgoQi8VkKoP6nQzPjIwMRCIRbNiwQRbG0r2QXKuoqMDk5CSKi4uxYcMGmWKkGhwy8MijJw9/bGwMIyMjcgUF1YaoxagDAwOy/kGNbJHcs9vtOHDgAEwmE5qbm3HgwAGcP38eFRUVWL9+Pe677z44nU6MjIygp6cH58+f1zlvFBGifnvwwQfR0tKCwcFB6cDU1taiqKhIl95aVaF7ABBCWDGt5H+padqhOIf0AqhQ/l9+67NeTIfv1c+PLE0rFw+aFC0tLQiFQnJ7xfXr18v130YFAExb8H6/H8FgENFoFMFgULeOlEKKlKck4VFdXY2amhrs27cPfr8ftbW1aGlpQWNjo6zUJaUTjUaRl5eHxx9/HNu3b8e5c+d0Vj8ZJsC0EInnPQHTnl5PTw/ee+89qVTJ8ykqKkJHR4dUWsFgUFaz0+AmD5BC0lQJS4qU1iWrwo36gTzvkZERXdETTdzMzEysXbtWnuPLL7+URXLkSe3YsQNnz56FyWSS62mN90mFgxRVIA/FbJ7eQ3/fvn1yFcT27dvlWnpVQRuh9vr9ft2+3XRdagdVnpOiMBoGJCT37t2LyclJNDQ0SMFIBWPZ2dn40Y9+hD/4gz8AcLswy263S0VeX18vr6+mTGh5ZEFBgRwLZDjl5ubKJY/j4+O6nC2NIbPZjCeeeAINDQ24fPmyrDGoqamB1WpFaWmpzoPPycnRpSxoCdf4+Lis4o9EIjpFT+Niz549UjFbLBbU19fj4MGD8kU6nZ2daG1tBQCsWbMGdrsd4+PjSEtL0y0tvXz5MkZGRtDX14eRkRFkZ2ejrq4Ojz/+uKzDICOHxqi6KZAxPaIqekqf5OXlSWNzaGhIjvsTJ07Iteejo6NYs2YN9u3bh+eeew4ejwcffPABdu3ahXA4rDO8y8rK8Pzzz8tnSGv9abe/aDQqnyG1e/fu3UhLS0NhYSHGxsZkfQkA6bmrRqS6/NXlcuErX/kKsrKy4Pf7ZX/Q/an9UFxcLFMNDocD5eXlMjxvNk+/YIrW9lMKgJYxqv1If6upFrPZjHXr1kmlSwYrjQPaObC3t1fKBTWNmJ+fL5faqStQyJikFSwkd4HpdJLVasX58+elPGhtbdUtuzWZTKivr0dtbS1eeeUVrF+/HteuXZO1DepyvFWl6MX0k/oJgEZN0/4+wWHvAPhzIcSrmC7G82ia1i+E+AjAfxJCUOzzcQD/YanbvFCEEHj88ccxODiIqakpOVAOHjyI1tZWHD58WCes6KGTxU9L29SKXppwAPDUU0/hzJkzaG1tRW1trVyXT5udqOFvAOjp6UF6eroMRVLlKp1X0zRUVlZCCKHbJ10tGDIq+rq6OgQCAdhsNuzbt09uhKLWFKxfvx4PPvggvF6v9MJbWlpkbmxiYkJWAVdXV6Ojo0OG08rKytDc3Cx3Yfv2t78tFTv1sRqKs1gscuMUUgCVlZW4//778d5776Gvrw/79+9HS0sLysrKUFlZiUuXLkmBnZeXh8nJSZ1R8ZWvfAVutxsejwdmsxkPPPAAmpqacOPGDekBbty4EQMDA3J5Ga1KiEajckMeVQHk5OSgvLxcrjM29i9VCj/77LN45ZVXEIvFkJOTowv5Uj8DwLZt2+Sz8ng8UuGrBgmxa9culJSU4P3335eKXg2jj46Oyn4tLS3FH/3RH8nfVldX40/+5E/Q1dWFzs5OWVm9ceNGDA0NYe/evbrNcOicBI3v//Af/gOOHDkiN5JSoQhKRUUF9u7dixMnTmDLli0wmUw4fvw4JiYmsHHjRtjtdjQ1Nck+UxUDPf/169cDAL761a/KZZixWAzf+c53ZN9fv34dFy9elEbp1atX4fF4EIvFZFQpLy8PW7duRU1NDfx+P7xer5wXtH7c7XbL1ILx3imfTUY5hcmvXr0qN3uprq6W3rXL5ZIvZqqsrJQv2jl48CD6+vrw5JNPYmhoKO5mK6ToactYIQT27duHs2fPymOi0SgOHDgAANi0aRM+++wznXFvsUzvrllXV4eSkhIMDw+jvLxct/xOjQiRbFPTSKrsoTYZ64/I6UhLS9O9MAaAzgA2rgpRa54ee+wxtLa2Ys+ePXj44YdlBDEtLQ1f/epXsXfvXvT19cFqteLmzZs6eVFWViar9imqpNYwANPzJT8/X84VAHjmmWcQDodx8OBBtLe3Y/fu3cjKyppRi0URnkgkIveEUGWBGoFcDpbDo38AwHMArgohLt367K8ArAEATdP+GcD7AL4GoBWAH8Af3vpuTAjx/wFAI/VvqDDvbsCYTwMg81i7d+/WfReLxXDx4kX4/X7U1dXJzRSoIIc8z40bN+KBBx6QBSPqpCIol06eZSwWQ2VlpQwvh0IhOZnU8DLt403FMGpxlVHR05u0QqEQ1q5di0gkgtHRUZ1BQkV0VGVN7ZyYmJDeb2ZmJn73d38Xb7zxBjZv3oyRkRGUlJTIorAnn3xS7kFeUFAgQ4zG+z548CBu3ryJUCiE++67D1lZWdi5c3qVpsVikf2ek5OD5uZmWdVfV1eH73//+2hra8Px48d190mh3JMnTyIQCCA/Px95eXnIy8tDUVERLBYLnnrqKUQiEXg8HpSWlsJqtSIYDCIrKwuPPfYYfvGLX+jaabPZ8PWvfx29vb06AUzH7Nq1CwUFBfL+6K1zkUgEDocDX/va1+SmJyp79uzB6OgoPvjgA53XoN6PyWRCeXk5AEhFQh6Z6o2pG4OobNy4EV6vF52dnbJNJPBprfW6detk0aZ6X+q4UceeitVqxR/+4R/qPEJgOhVz5swZhEIhDAwMSCVn/H08TKbp1Q9f//rXMTw8jIKCAnn+tWvXypUqjzzyCHbu3Inu7m5kZWXhwoULcrkgzQP62263Y/fu3XKHR8rH03kzMzNlNbsauqfvybOjugBacmYymWRefd26dToDZv369dJ4UfvX2H8U2qa6AWM/UfHdN77xDcRiMTz++OMoLi5GW1sbAKCqqgo9PT2ora3FgQMH0NTUhO3bt+Po0aPyHGazeYaiV1MK6jNft24dvF6vNFgoxUfQUjj6LfWP+vzU66oePW0WRd8Z5ZUxNUZ/nE4nNm7ciH379snlofSbWCwm00dUH9HU1CTPU11djb/6q78CAHR0dMxIyaqREIvFIlM4xnmw6jx6TdOOA5gpNfTHaAD+9wTfvQTgpSVo2pKjWrmE1WrF008/Lf+v7uRms9lkeP/cuXOy4IcUPTC97WxWVhZ2794Nm82G9vZ23e/plaTA7ZdOANOWpdPpxM6dO3H9+nWpKOj8qnJ4+umnZciNMA5UtWjnwQcfhBACra2tcmc0slhVa53OYdy8hvqHji0qKpIhSsoFGtuhhuyBaU+4sLAQ27Zt04Uaifz8fBw8eBCXL1/GpUuXcPbsWdy8eRNTU1O4dOkSrl+/rrsvYtOmTQiFQtiwYQOGh4dl4Rut7yfhTOtxz549i4GBAZm/N3r0RE5Oji56QteltfeBQEB+R8JNCIGioiLd74zPRFXWkUhEKnYjGzZswO/93u/pNhiiFy/RNq7xUCNRmqbJwlDKoZaUlOhCxcbfqfcar1/ifaZpGurr62XOM16Ofi7WrFkzY91yTk4OHnrooRnXN5tvb48M3Fbwxp0ZyWBRPT4AssDv8OHDutC9Gn1SnykVqnk8HkSjUZmnN24tOxdkaO7evRtut1uuYFH7SX02JpNJGgNEcXGxnEuql6o+FzXNo8o4+j/9bTKZZH2HWmVPa+0rKirgdDpnePSqon/88cdl9NGo6FUoxE4KVO1vVWbQZ9XV1Thw4EDc9JkRY+pQPZ6ePR1jNGJoeajqmKirLpYL3ut+GZhNIJFSIst069atcuMLVYAYz3Hfffehu7sb27Ztw8GDB1FQUICnn35aFrQBkJ4EcFsYUS5V9aoyMzPR1dUlN/pIS0vDM888owstGa9PA5p2urLZbHjkkUfwta99DeFwWFryan5MnSSkrFRFSMeuXbtWriQwei+0U19tbe2MZWjAzDAuMB3edrvdWL9+PYaGhqBpGjo7OzE6OopgMAi/3y/Xz9MWwep9k/IdHR3VTWRVIKnFcRQKpN3h4ikvKj4bG5sOUMUzpHJzc2U6JtF5VNSwoMViwbp16+QyLJXvf//7iEajM950VlBQIIvD5oJ2ahsdHZX/V9tuRBVq6va8ybJ27Vq5J/x8FH2yqH2oGqbA7TFPL4jZuHEjOjo65NxSBTmNb2MxnnocFd1RCJtW2RQVFWHDhg3YuHFjSm03mUwyNaSukqDrFhcXz3lONVKkLmNTr0EKzhhWVxU93aPFYpFLYp1OpzRACgoK8Oijj8qUooo6r4qLi1FRUSHPRc8/0ZJRGhtqm5ubm9Hd3S1llTGCQBjHvfH5G39jMplkZCNeLZPD4cDY2JjsE2obraxiRb9KiJdzMkKKngaIMdeXiPz8fPzRH/2RzkqlsDLlqgHMCMMaBy8p+m9/+9u60DUVqiRi+/btyMnJQVlZmSwYpNy8xWLBY489phOCRkVfUFAg3xpF1yRFT8KGihhVbDYbnn32WdTX1+Pv/z5RyYceymMDkBGNDRs2ICcnB1NTU3j66adx9epVGfJMBIXj1LYQtAwPuO2xUfh2tvOpf6tYLBZ89atfRSAQwPDwMCYnJ3WvSI2H6nnRsp54xkG8MUZCTn3jWzzo+/T0dIyNjcmdv4xh0nj/Jii1pO7kNxuq8Pb5fAn3plgMVO+PMHr0DocDTz/9tIxKGX979epVWCwWGQKmHD19ryo2IYSM3Akh5D4QBw8ejGu0JoMxGkPKTd2JMxFlZWW4//778cMf/hAtLS0Abr8hMhgMIi8vD52dnTOuYzKZpDFDzgIwPc9pt8C8vDx0d3dj48aN2LVrF5555hn85je/meHRq3NGrWNRl6wZowxCCLn0T92whvB6vZiYmNApeuNcUnexU9uTKLqlevTGWgVgZlrCbDZj69at0sBnRb9KSEtLk15IImg3MpPJJF8nC0zn5AYGBqTHF0+ozTYA6Xt6kcyWLVsA3BYyqqKn9axAfMEcD5fLhc2bNwOAfIOX0dqlsCR9p3o8GRkZePTRRwFAhrfIe1XzxomgflLX8Sfi8ccfl/+mfgyHw9LAilfVHg/jq1yNuUTKB9P+AlNTU7jvvvtkrYAR1Xs0QoVbAwMDcnkkFTQmQi3sDIVCMvebCvX19XjjjTcSCqGNGzfC6XTi/PnzaG9vl9dU197HU/Tq+UjR0/NOFqvVKtfDA7fH+fe///1FK2yic9L7GPbs2SPvTZ0jQgipzAjarc3n8yEUCsHj8WByclJuNmOMXNH1aDfMeFGEVKA+sFgsuO+++7B//34cPXpUzvHZxgIdQ8asujLDbJ7emZI2M3r55Zfl5yrqfMjKysIjjzwi7/XrX/+6NOy2bt2KZ555BoC+KC2ekaWOG3o9dTQanZG+MplM2LJlCyorK2ecg+a51+vVedLG+b5//35UVFTo6hGoPxP1WTgcRjQaxbVr13TpAuB2dFF15PLz8zE5OYlvfOMbch3+csCKfgnZtWsXPvjgg1lfXmCxWFBbW4vdu3fL/ZEB4Omnn8bRo0dx9uxZqZSShY4tKChAXV0d/uzP/kx+p+67DUxP1ra2Nty8eRPA/MKhRUVFWLNmDTZt2qT7nAq26LwZGRlyL2k1ypGRkYHdu3ejtbVVvpRCvY94kJA15kfngoRTW1ubTtEnExqn5XXUPjX0TedNT0+Xk5+260wUJYiX11OhTYGeeuopHDlyBMDsfULGFRk/xnXDyUBKLVGbhZjeDOfSpUsIh8Ow2WzYsGGDLuWhjqE9e/boakCAaWFHqYXZ+OY3v4m0tDR88MEHAG5v59rR0aG7TrJRsGSg/qL949WNXFSBH6/Aymq1YufOnfjBD34Av9+PcDiMBx98EE1NTbq3u9FOezU1NTpj2GQyyXuZT7RCjXzQi7JoTMzVRxTqVxUhtStRwZnaH5Q3r6mpwc6dO7FhwwbY7Xb89Kc/BTD9zAcGBmZclxQwMG0M0HsPCFLcwHT65v7770ddXR127NihO49qIKmvrKXvLBaLTNUlCt07nc64haRzKXqPxyNTiuq8IYPW6FDQ85iPMTdfWNEvITS5ZlNG9LDVvcKB6WKpDRs24MKFCylfV7WM1d3XgJmKfs+ePXJdflpa2ryEZmZmJp544okZn6vVuVSIQ1asMSy5c+dOnDt3Tte2uTz63NzcpMO/hNHSp7W3ySh6k2l6z4L9+/ejoKAA9913n/yOhOH69evR19eHgYGBuGFtlX379qGvr2/Ge6sJNeqitjkRVHlMhYzzUfQWiwWbNm3SLctLdJy6c5wxmkNs3LhRFjoSTqdTt3QvEeqyJAD4kz/5E1y/fh0fffSRfIHJYqMaoEaPne5L9Y7Xrl0bt6/UY8lTpt+Ew2Hs27dPHvfggw/i+PHjCAaD2Lx5s/R2U8VYPEhbGu/atWvON6U9+eSTuH79+oywuTHlBtxWfGpfkVwpLS2VK4qMv4kXwSotLUV7ezscDgeqqqqQnZ0t6z7UtB4A/N7v/Z7cPz9eMR4wvW3t1NQUamtrdd/T5kter1e3X8RszBVdIUUfDodhNpvx7W9/W9fenTt3oqqqCuPj4zh27NiM3y4nrOiXEFKas3ku9fX1CIVCck1nIlLJ59Ag2rt3L5577jndd8bQfWVlpc5qno0tW7YkVErxMJvNsirbOKlmyz+SxxyvkIxwOp3YvHlzSu0B9BPs4YcfxsmTJ5MO3QPAE088IZc+qoVLJHjsdjtqa2sxNjYm896JBApVNyeCDJ5wOAyHwyF38pvt3vLy8uS+CvSa4FSgLZdnq1UAbnuAPp9vhqKbK3SfKhs2bMCZM2dQXl6Ompoa9PX1AVgaYZmdnY3vfve7cmMglXj39cgjj8Q9j7ps1qjot2/fLvPclPa477770NXVhZqamjmNrLkgRUxRoNLSUvliqkQUFxejuLgYZ8+ehaZpGB4elm+8NPLkk09ifHxcV6OgrtqJh9lslm/BpDQiANx///24//77dccmCq3TSgd6uRUwLQe8Xq+UtbSHgLHdGRkZ8Pv9undsJIKWJROzefQ7d+6Uy0zj7edQUFAg70d1JljRryKsVit++MMfzio0i4qK8Du/8zuLel21CNC43tro0afC/v37UzpetbrNZjO++tWv4pNPPpFtS0R6ejqeffbZWQVTWloafv/3f3/eBUsAdKsT4u1UGA+z2Yzvfe97MxSBcQLTGlr1s1RRFX1JSQlu3rw5q8KkneyoWj/eMsO5IKE2V85bfXkH7d1NqNckgZyoTiEZtm/fjq1bty6bcFRTMiqq0ZJM9AfQK3qisLAQfX19upRcRkYGHnzwwTmLYGdDzdETRUVF2Lt3L4LB4IwVJfGg0P2bb74JALraCyInJ2eGgZ1IOVPqhs71+7//+3O2YbaUwXPPPadbXvcHf/AHcZfbEXv37kVpaSk8Hg+Gh4cRCAR07ymIBxkURqfICNXhbNu2DVeuXJk13UX9upQrRmaDFf0SM5tCWypmG0RzDd5EJBJ+s2Fcf1pdXY38/HyMjIzMCIsC09Y97SSYyIpWSaaKeDbISCBhnEohYiLoDWO0xSkw/0mt5msffvhh1NXVzXptIabfX7B7926ZBlkqRU/Vw5FIRL4MZOvWrQiFQnJjF2B6nNEWrQtB7cPf+Z3fWZKK+2TbkIqij0ajMpUS73v1nOoKmvnw4IMP4tSpU7q5c+DAgZSiXup93X///TPW2SeC5rNRTlABXyokqoqP95nx/+np6fLlXsD0ihtN02Tu/eLFiwBml8t//dd/jbNnz+pW0cSDXp52+fJluXdIPNQ2qvUYywkr+ruI+++/X+YtZ2M2ITQfj/65555LSvEaiSeM9+3bh/7+fp0yIKiKf7mgaEeyOfq5+OEPfwir1YoXX3wRVVVVuO+++2AymebtpW3atEluJWwymWZs+GKEhNd8ojX333+/3KMemFvRFxQUzAhbU955qZkt1bR+/foFh74TkYqiJy9OrdUgxaFGWoypjYUogPr6etTX1+uWiaU6FtT7KioqSrpmp7S0FDt27EjaMJgNeidCvFz/XDz77LMzPhNiegOpRx55RM7FRJtOAdO7A6r3keiZ7N+/X76GOV7kQ70+e/TMrBQWFsLlckHTtKQV4WyDaD7Ld+J538kQb0ep0tLSOesRlpqamhp4vV6pGFPJ0c+G6iVs27ZtRmVwqgghEm53Go/6+nrk5+ejsLAQJ06cSOlaNLZIwS/nGt/F5ODBg0t2biokTbQ/QUVFBbq7b79VWwgh6zlqa2vlC58KCgpkka1xqeZiRCrUts3H6CNSkRFCCCmnForJZMJjjz224PMQ1B8lJSW6PTVS4ZlnnpnxzNVdBp966qmEv423XJAVPaNjx44dMkS0GDz99NNoa2tblqUdibaOXGlIiFCh4GJ59MQf//Efr8j90ha0C8Fkmt62lN5qx9ympKREvhAm3vN94okndJEQqmMAbleQU0TOGLrfvXs38vPz5S5wC0GNvqU6z9X7SiWKtxhFl0vFYijV2VZWALP3FRVijo6OoqmpCbW1tazoGT3zVRj3339/XO8gNzd31rDVYrISedRUUEOxi+HRE3eSUTMfnnzyyZVuwh1PvGcshP6Vyk8++STefvttAIkVAZ0nMzNTt2Z/IcwnzWZsT6rnuZPH/IYNGzA+Pr6ggtB4JCvfnE6nfOWyxWLBmjVrUl4ttFBY0a9SljvfHQ/jBiN3GtQ+2o/8Tmwjc2eSzFhRQ7tGpTnbroh3CqkoetqvY6XTcvGwWCx48MEHF/28yToGJpMJdXV1CIfDePTRRxMuyVxKWNHf4TidTgwNDS3ISl8p6PW1LpdrWXeBShYhhHzj32J69MzqJxkFnUxod6nG3De+8Q25tXQqqPeVSkSusLAQf/RHf3RXyqn5kkr/ZGdnY/PmzTP2DFgu7p2ncpfy0EMPobq6etnC7YtJTU3NgtYFLwc2m23W18kyTDwWa6ws1Zgz7oiZLPE2BUqWe0nJA6kZaSbT9NsoF7Lvx0JgF+YOx2q1ztjOkVk87HY7e/RMyixUQa/UDmnJwkbv3Nypzy4ed09LGWYJoC012aNnUuFO9+jnC3nl811Sey9xNyn6eyvWwjAGbDabXOt8N01cZmVZrYp+7dq1sFgsC9518l7gTl9VpMKKnrmnqa2txdTUFIQQKCsrW+nmMHcJi6Wg7zTj0mazxd21kpnJnfbsZoMVPXNPU1tbuyprIJ5++mmMj4+vdDNWLckq+meffXbW7YTvNI+eSR5W9AzDrCglJSUL3iWPSUyyCtr49kjj7+8mZcHouZuMNFb0DMMwKbJac/TM0rBmzRq55fZKwIqeYRgmRVjRM6nwxBNPrOj1OW7EMAyzQnDonlkOeJQxDMOkCL8Aibmb4NA9wzDMCsGK/u7ma1/7GjIyMla6GXPCip5hGCZFFurRc9X96qC8vHylm5AUPMoYhmGWmTVr1gDAXeENMnc/7NEzDMOkyEI98X379mH37t333BvfmJWBPXqGYZgVgJU8s1ywomcYhkkSeqsbF9ExdxNsUjIMwyTJt771LfT397OiZ+4qWNEzDMMkicvlgsvlWulmMExKcOieYRiGYVYxrOgZhmEYZhWz5KF7IcRLAJ4CMKRp2uY43/8fAH6gtGcjgAJN08aEEB0AJgFEAUQ0Tdu91O1lGIZhmNXEcnj0LwNI+OoeTdP+TtO07ZqmbQfwHwB8oWnamHLIw7e+ZyXPMAzDMCmy5Ipe07SjAMbmPHCa7wH49RI2h2EYhmHuKe6YHL0QIh3Tnv8byscagI+FEOeFEM+vTMsYhmEY5u7lTlpe9zSALw1h+wc1TesVQhQC+EQI0XQrQjCDW4bA88DtfaQZhmEY5l7njvHoAfwBDGF7TdN6b/09BOBNAHsS/VjTtBc0TdutadrugoKCJW0owzAMw9wt3BEevRAiC8BDAJ5VPssAYNI0bfLWvx8H8DfJnO/8+fMjQojORWxiPoCRRTzfvQj34cLhPlwcuB8XDvfhwlnsPqxM9MVyLK/7NYCDAPKFED0A/iMAKwBomvbPtw77NoCPNU3zKT8tAvDmra0mLQB+pWnah8lcU9O0RXXphRDnuOp/YXAfLhzuw8WB+3HhcB8unOXswyVX9JqmfS+JY17G9DI89bN2ANuWplUMwzAMc29wJ+XoGYZhGIZZZFjRJ8cLK92AVQD34cLhPlwcuB8XDvfhwlm2PhSapi3XtRiGYRiGWWbYo2cYhmGYVQwreoZhGIZZxbCiZxiGYZhVDCt6hmEYhlnFsKJnGIZhmFUMK3qGYRiGWcWwomcYhmGYVQwreoZhGIZZxbCiZxiGYZhVDCt6hmEYhlnFsKJnGIZhmFUMK3qGYRiGWcWwomcYhmGYVQwreoZhGIZZxbCiZxiGYZhVDCt6hmEYhlnFsKJnGIZhmFUMK3qGYRiGWcWwomcYhmGYVQwreoZhGIZZxbCiZxiGYZhVDCt6hmEYhlnFsKJnGIZhmFUMK3qGYRiGWcWwomcYhmGYVQwreoZhGIZZxbCiZxiGYZhVDCt6hmEYhlnFsKJnGIZhmFUMK3qGYRiGWcWwomcYhmGYVQwreoZhGIZZxbCiZxiGYZhVDCt6hmEYhlnFsKJnGIZhmFUMK3qGYRiGWcWwomcYhmGYVQwreoZhGIZZxVhWugFLQX5+vlZVVbXSzWAYhmGYZeH8+fMjmqYVxPtuVSr6qqoqnDt3bqWbwTAMwzDLghCiM9F3HLpnGIZhmFUMK3qGYRiGWcWwomcYhmGYVQwreoZhGIZZxbCiZxiGYZhVDCt6hmEYhlnFsKJnGIZhmFUMK3qGYZgkicVimJqaWulmMExKsKJnGIZJks8//xw///nPV7oZDJMSrOgZhmGSpK2tDQCgadoKt4RhkocVPcMwTIosVNEPDw/jzJkzCIfDi9QihkkMK3qGYZgUWaiiP3HiBC5duoSBgYFFahHDJIYVPcMwTIosVNEHg0EA08V9zN1La2srhoaGVroZc8KKnmEYJkUWK0fPuf67m8OHD+Ott95a6WbMCSt6hmGYFFksBc0ePbMcsKJnGIZJkYUqevo9e/TMcsCKnmEYJkU4dM/cTbCiZxiGSREO3TOpEIvFVvRZs6JnGIZJEQ7dM6k8u1/+8pf4yU9+soStmR3Lil2ZYe4A+vv70dzcDCEEtm7diuzs7JVu0qJAHoTFwlN8KWCPnknl2a30+xHYo2fuaa5du4aWlhY0NTWhvb19pZuzaLz77rt46aWXVroZq5ZkFX0kEpl19zv26O9e7iYjjRU9c08TDAZRUFAA4O6auHPBO64tLckq6F/+8pf46U9/uuDzMHce0Wh0pZuQNKzomXuaYDAIu90OIQQLXSZpkh0rtANeIlaTcXmvcTc9O1b0zD1NKBSCzWZjRc+kxGpeXjcxMcEv20mCu0nRc6UOc08TDAZhs9lgMpnuqonLrCyrtRivpaUFn3/+OXJycvCd73xnpZtzR5Pqs4tEIkvUkrlhj565pwmFQhy6Z1LmTvfoe3t70dzcnPLvAoEAAMDj8aT0u4mJCbzwwgsYGxtL+Zp3K6nk6CcmJnDixAmcOXNmCVuUGFb0dzjj4+P49NNP7zjLPxmuX7+OV199Fe+///4dqUQjkQg0TWOPnkmZO13Rv/feezhy5EjKv6P2pDoXOjo6AAA3btxI+Zp3K6n0EdVqrFSRLCv6O5wjR46gvb0dw8PDi3K+SCSC8fHxRTnXXHR3d2NiYgI9PT0rGrZKBE1Uk8nEHr0CGUBMYpLpH1URGL2/+SrUpWa+z51+J4RYzOYsGkvRz6l49G63Gx6PB93d3WhtbV32+cWK/g7n7NmzaGpqWrTzHT58GK+99tqyLA1Rr0EDe2hoCA0NDfD7/Ut+/USMjo5iYGBATn4hBHv0Ci+99BKOHTu20s24I6Exkoyg7uvrk/82Frct5c54CzGq1fakcp47WdEPDQ3hxRdfRE9Pz6KeV5UXXq834XFerxctLS0YGhrC9evXcfjwYYyOji5qW+aCFf0djtvtxtDQUMoT6P3338cnn3wy4/Pe3l4AMwXPbFy7dk0ntJIlnjHx5Zdf4sSJE7h27VrK51ss3njjDbzzzjuyfUKIRffofT4f2tvb0dHRMW/BG41Gcfbs2aR/HwgE0NjYOOeSrnj4fD4Eg0HZJ4tpXK4WOjs7cfz4cfh8vrhjpampCZ9++qn8v/pv4zM0Ggz9/f349NNPZ1UYyaJeayHV8/MZtyut6F944QUcPnxY9xmFy7u7u+d93uPHj+PkyZO6zyYmJuS/P/zww4S/pTlVUFCAbdu2AVj+wjyuur/Dma/ySWS9mkzTtl0oFILD4UjqXF9++SUA4Pnnn0+pDUaPfnJyUqYNVnpLSAAyqrBYHv3IyAicTidu3LiBxsZGKQgOHDiADRs2pHy+q1ev4uLFi7DZbFJAzEZTUxPOnDmDUCiU8rV++ctfwmQy4bnnngNwe5wkQtM0+P1+CCGQnp6e8vWWiqGhIaSlpcHlci36uW/evAlg2kOLNy+PHj2q+78qzN1uN5xOp/w/jTX6+8qVK+js7ERlZSXWrVu3oHaqbQuFQrBarfP6bTgcTlpGxGIxBAKBFVf0ANDa2opHHnlE/p/u6dq1a7LIsKCgALt27Ur6nNevXwcA7N+/X36m1kD4fL6Ev43FYtA0DWazGTabDaFQaNmjh+zR30V0dnZicnJyzuNmMw5IgC/HOllV0cdiMfz617+W143ndQ4MDCzI6k4VMjZS8eg1TcNvf/tbvPbaazO8r0OHDuGdd97B6dOncfToUeTm5gKYv/Wuto+uPRt0nfmmZWKxmDzHXIr+1KlT+I//8T/i3/7bf4urV68CmDYu29vb52VopILf709oKL711lv49a9/vSTXVVM9yY6VsrIyAEB7ezvcbjeOHDmC8fHxGaH7xcjZT0xMoKmpaYaiT4X5hu6Hh4dx5syZRQmPx2IxHDlyROcxL+RcsVgM0WgUra2tGBsbw/DwMK5cuZLwN9FoVLd6IFE/5OTkAAC2bt2KYDCYcEyoaQ2aV6zombgIIfDRRx/htddem/PYO1XRq9AyHpV33nkHH3zwQdKKiizl+aIq0mQ9+nA4jP7+foyPj8Ptds/4niIW4XAYGRkZsp3zgZ6RzWZDQ0MDfvzjH8ftN5Xe3l5cvnx53gKX+n4uRe/1euF2uxEOh9HR0QGPx4P3338fn3766axCdCGMjIxgfHwcv/jFL/Dzn/98Sa4xG6koek3ToGkaiouLkZaWBk3T0NraiubmZnR0dMwI3cdiMVy/fn1Byu2dd97B0aNHdYrpk08+wfnz5/HCCy+kvNwuFUVPnrIx99zc3KxLAxnn9vj4OFpbW3V9Mjg4iObm5nmtGjDy4osv4vPPP0cgEIDf78d9992HdevWzfr8/uZv/gb/6T/9J+mMJOqHtLQ05OTkSDmQKGWmyiky2u8pRS+EeEIIcUMI0SqE+PdxvrcLIX5z6/vTQoiqFWjmgrh8+fKiWKZEMkqQBtGFCxfw9ttv675TQ/epMjAwkNL6WnWCGAf2bHnkZIyQUCiEl156CR9//HHS7TFy48YNaJqWkkev9v9s9xeJRGTYM9F5o9HorLuQ0TOyWq24fPmy7rN4RCIRtLW1obW1Fe3t7QgEAvPe1GOuEGwkEoHNZoPT6cTAwIDuHoz309fXN0NYpmKgaZqGUCiEQ4cOJWXoLhTyAOO1A9Ar+rfeemtG7pbOAQBmsxlWq1Un7CcnJ2Uf0XEjIyMYGRnBxYsX591uMlzVto+Pj8uXNQ0ODs55DvW5tLa2or+/f8YxH330EX7605/qUhWJPNUjR47I48bGxvCTn/wEp0+f1n1/+PBhfPzxx7J+aDavt6GhAWfOnEnJURkbG8ONGzfQ0tICTdPmNOq7urowMDAg+yKRoo/FYrh48SLOnz+PSCQSN8qkjiWSM4nubSlZMUUvhDAD+AcATwKoB/A9IUS94bB/AcCtadpaAP8NwN8ubysXhs/nw+nTp2dVRp2dnXjttddmLJ/TNA3hcHheHiv9xuv1zpjcC1H077zzDn7zm98kfbw6mJPx6IlkJvHExARisRg6OzuTbg+gF4I3b97E5OSk9OhTXTIVT9GTUopGo0hLS5OfxeOzzz7Dq6++itdffz3u99QPFotFV0+QiEgkgrGxMekhzacOgu7JbDbPelw0GoXJZILD4ZhhyKr3Ozk5iXfffRdffPGF7rMXX3wRJ06cSKpN586dw8svv7wsUSiv14uXX34ZP/nJT2asCVefvbqKhFIX8Y41mUwzFIuq6IxjYyERKhob1E8HDx6c0e5EuN1unDt3Tl7fZDLh6tWr+Oyzz2YcOzg4iHA4rFsTPpcCi0ajMtWlztlwOCzrKajdNPbiGc8nTpzApUuXpAFy8+ZNXLlyZU55RkaExWKZU9EbjbxE4y4Wi8kaiEgkgv/1v/6X7rwNDQ148cUX8eqrryIajd6zofs9AFo1TWvXNC0E4FUA3zQc800Ar9z69+sAHhV3QrVHktDAnm0QtrW1YWRkZEbY7vDhw/i7v/u7eeVbZxtERmFAx6caBo9GoxgZGZlV+EYiETlpSQGeOXMGHR0ds95XOBzG2NjYrKHDqakptLa2orGxMek2U7sBoLi4WP6f1tEnM/lu3Lghoxpq++i8PT09OHnyJAKBgPToE52XlHcihax6fXTsbM9IFTzhcBh+v39eHv3U1NSs1/H7/YhEIjCZTDCbzbhy5YruHtRr0thX0xwjIyPQNC3p1wK3tbUBmI4CDQ0NYWBgQJdD9fv9i1KtDkwb5/RcjdErVQlqmpaUsoin6C0WCzo6OuDz+eTco9obt9udtAFkhOa2WmcRDAZx+PBh3Lx5c1Yj8be//S0uXLiAUCgEIQR++MMfor6+Pu78pn5Q5zApsETjJhKJxF2aqGmaLBY0hrcT7T2gfvfJJ5/g1KlTMlUVCASkE6BC88fpdM7Z1ngGRqLjrFYrsrKypLGiyvqRkRH5GbV3pfZPWElFXwZArbzqufVZ3GM0TYsA8ADIi3cyIcTzQohzQohzi7W5zEKhKl2LJfHihnA4jNbWVhw+fBivv/66HBCvvfYarl+/rgv7JAsNplAohMuXL+Oll16S4TNSvDSBP/74Y7z44ot48cUX8fOf/zxpr+ns2bM4dOgQvvjiC0QiETQ3N89YGx+NRuW9a5qGQCCAQCCArq4uhMNhtLS0xN0pyufz4fXXX0+Yo4tEIpiYmEBfX19SW25++OGHcvkLTTCXyyXzqMnm6DVNw9GjR3Hy5Ek0NzfrlhzScxocHEQ0GkUsFptT0Rsrr43fUd/89re/xdmzZ3XhxETt0zRN9nkgEEjZQ2xvb8fZs2fjeqnA9Jj+xS9+gaGhITgcDpjNZkSjUbkzGrXD+G91/JJSoxqGRLz55ps4deqU/O3IyAiamprQ3NyMhoYGqdx/8Ytf4Fe/+lVK95kIau/IyAg+/fRTvPfee/LZqgKfxrORaDSKQCCAqakphMNhufmQMU/b1dWFK1euQNM0nDt3DufPn0cwGMTVq1fR0NAwL8/eaMSbTCaEQiGEQiH09vbOek5SUEIIBINB+bKn2VIYan/QtS9evIhf/epXaGhokF40HRvv+hRKB6ar4l999VV5nNvt1v3mlVdewYULF+Dz+WY4T9TOS5cu4dKlS9I4pGuEQiGUlJTAarUmXdyaTOjearXCZDKhtrZWfkbQ+FDlDJ1ruRX9qllep2naCwBeAIDdu3ffEdt6JaPoI5GItHYjkQh8Ph8yMzNT2pjDCP12eHgY0WgUQ0NDiEQiOHDggBzkNFHGx8eRm5uLrKws3Lx5E4FAIKnlODSIR0ZG0NnZiSNHjmDDhg04cOCAPCYajcLhcMj12eq9DA0N4fPPP4fJZMKPfvSjuOeOt3Y/EAjgZz/7Gbq7u3V58Nno6uqS/75x4wauXr2K8fFxtLS0IBQK4dixY5iYmEB6ejpisVjCQjSqlh4ZGUF6ejpu3LiBRx99VN4rMB3FCYfDMJlMcLlcaGhowMDAAHbv3j3jfLNZ95FIBKdOncLIyAhqamoATKcrZhsP1MdmsxkWi0X2USrLq8i4SLR74tDQkPzebDZLw1Ed42ob29raMDk5ifz8fPkZKfq52jU8PIzh4WFkZWUBuD1ma2tr0dbWtiRrkVUlI4RAb28vJicnkZ2dLa9HxxgjMRSxEkLIf4+OjmJoaAgPP/ywvA81yhWLxTA6OgpN0xCJRGQ/pvrcAL0nPDY2hra2Nl3kYTblQt91dXXhzJkzsNlsqKmpkQaKaqjRsUYjgAxwr9eLd955B3l5ebIP3377bezcuRPAdNTr/Pnz2LVrlxyvwHQ9U1FRka6dXV1dqKyslP++ePEivF4v8vLyUFdXJ4/TNA0nT57EtWvXYLPZdDVA9LxIVqjhc3Wu37hxQ5diot/NFrqn50V9kUjRU+Tm6NGjKCoqQlNTE3Jzc3XzYilZSY++F0CF8v/yW5/FPUYIYQGQBWB5txRaAHMNFPpOnYyJQpCphPAT5ZHV85DQjMX+/+39d3Bd153ni37XyfkABzkHggQBgiRIkQqkcrTVcluWZHe3k3rsHlVXvZ57+86tuuU7U9VTb3pe9X01XW/e6/Grnla12265ncZppJI1lq2cKDEHMIAESeR0gIOT8zn7/gH8flx74wAESARSWp8qFoGDffZee+21fnmtXURFRQVsNhtbnuPj47o8YinkwqJTp04hn8/rXojxk5/8BJOTk7pcrzF3S9cvFAp4+eWXcfjwYZw5c2bZ/D39jQykUko5HA7jxRdf5DxeOBxmo+vSpUuIRqPswRcKBQSDQfT39+PkyZMljQvqq0QigVwut6gPgfl+lY8DAJ/Ph3A4vGRovlTOlwRrsVjE2bNnMTk5CSEEPB4PP5+lkL0mTdNw9erVksVdoVCIFTZht9sBXBt/pSJIly9fXpS2oBSI3BfyfX3wwQeL2kDHrtSIlT1Vi8XCbV0Pr0juPzo/zV9Z0dO6ceCakUProzs7O3HnnXdiy5YtXOGdTCb53DabTXc9+r58PzdSjyCH7vv6+nD06FGYTCYer/39/deVI3JUjtpQKBRw+vRp/OIXv8Dbb79d0tMlr1l2UKanp5HL5XDmzBn8+te/Zg//6NGj+Jd/+Rd8/PHHOmVbKiUg9wkpb4fDsUhGkAEO6EPlRFVVFfx+v85oMY6fgYGBkn1yPY9ebrNR0bvdbp63dO3R0VEcP358Q/e930yP/giArUKINswr9D8G8FXDMa8AeB7AIQDPAXhLu5lqlU1iOc+D1l/SgHnzzTdRWVm5qCrdGA597bXXcPbsWdTV1WHv3r3o6urCxx9/jKmpKTz00EMAwJ4FAJ2nAOgn8fT0NAYGBrhK+9VXX8WRI0fQ39+Pb37zm3zNUla9xWJBX18fK95t27Yhn89jbm4Ok5OT6O7u5uPpHsxmM0ZGRtDW1gZg3jOampri75FAKFWZT+cYHR3F5cuXeS2rDCnry5cvo66uTrfcK5fLwePx4JFHHoHJZEIikcAzzzyD999/H0eOHFkkYGdmZvCrX/0KDz/88KJQprHOgWoWwuEwPB4PPB7PstX8xmcqhMA//uM/oqmpCQ888IDuGMoLXy90L/8v5/ZlqPhP3gBJ0zSMjo7i0qVLGB4e5ucm8+abb2JwcBCtra1c20BKaylFXyp0v9o8pazo5dDraozfeDyOeDzOhslSlIqkGfcnkFNjAHTpKQBobGyE3+9HQ0MD2tvb8dFHHyGXy/G56Xwul4s9WorGFAoFTE5O4q233sJDDz103fSGDNX6zMzMcEpLVjAAcOzYMdx55518PwMDA7zWn+6fjiUjPZ/PY3BwEKFQSBfpkb39fD7PkaxisYhIJIKxsTGYTCbEYjH4fD4Eg0EUi0WOBp0+fRo2m21R4ac8luRIEbXNYrGUzN/n83meb/LfOzs7EQwGuQ5nqRx9dXW1Lt1QyqCZnZ1Ff38/ent7Syp6+brpdJqNC6MRZ5Sn682mKXpN0/JCiL8A8DoAM4B/0jTtrBDiPwI4qmnaKwC+B+CHQogBACHMGwO3DaUsVCOk6O12O/x+P95++204nU7E43G4XC62+uRzJBIJnDp1CufOncOlS5eQSCRQWVmJvr4+ANeKiDKZDGKxGE+C48ePo7+/H0IIDgdTAZcQQrccK5VKLZrU8oQsFotwOp145pln8N3vfhdjY2OIRqP43e9+h4MHD7IAkytoNW1+A5FsNotgMLgob+VwOBCPx3HhwgWk02lcuHABTzzxBJqbm3XXBeZDyLLiu3jxIiYnJ2GxWEru1JZOp/HjH/8Y/f39MJlMsFqt/H2z2Qy73V6ywIrWAIfDYVRWVqJQKGBubg75fB5dXV18XKFQwLlz5zAyMgJN01BdXb3ssr1QKKTb/EgWQHQOTZvfTZAqdjVtvoAtEomwkSRDyoL69XqGwcDAADo6OgDMj9VEIoFoNFrSIyp1LSEEK/pSoVKZUkZiKUU/OjoKj8eDsrIy3Xez2Symp6dRUVFxQ5XLr776KqLRKL761a/yDnVXrlzBO++8A03T4PV68dxzz0HTNIRCIfT19fFuhmTQyZs9vf7667j77rsBLFb0fX19uHr1KoffhRA6RU8Ki3L1HR0dCAaDiMfjcDgc+Pjjj3H69GlkMhk8++yzAMD339jYuOQ90rK9VCqFq1evorW1FR0dHSW9Yurrd999VzeW5MLcUgYV/Y2ULdXhyPdGilbTNJ7LsVgM6XSavxMMBjE4OIiWlpZFz1NuozE6SfU0xlSgUbnL/W2M0iw1fozjtpT8PnbsGAYHB1FRUaGTiUbjlSIcZMwZDd7PjKIHAE3TXgPwmuGzv5J+TgP48ka3a60o5bnk83m8++67uOuuu+DxeHgQjY2N4Y477oDb7cbc3ByKxSJCoRDGx8fhcDiWHNRUIS0PRlIg9JnNZuOq1A8++AAmk4nzZaUUOGGccPJx58+fx9mzZ5FKpdDX14dIJIK6ujr+HgmDSCSCY8eOYf/+/SgWi3C73chms8jn86itrWVPXtPmi5uy2SzeeecdJJNJBAIBTE5O6hS9PGnlCXT8+HHMzMzgzJkz2L9/v+74XC6Hvr4+NDc3Y3JyEuXl5ewhDw8P46WXXsLQ0FDJKnXyLmw2G/L5PJLJJH8WCoXwxhtvoLKyEjU1Nfx88/k85zqNil7TNPT39+MnP/kJBgcHcfDgQd19yf2dTCaRTqcxNzeHsrIypFIpvPfee/B4PDqFBcwL7fHxcV2flDJcUqkULBYLZmdn8fd///f427/9W51RQP2VTCZx8eJFbNu2DcC8tzg8PIypqSmYTCbMzc2hvLycFT0pGIoMUe1CKY9+qfqTZDKJ1157DQ6HA9/85jc55XH+/HmcOXMGV65cgcvlWlFBE3n/BK1oGRkZwZkzZ9gDzefzqKmpQV9fH/r7+zEzM4Pz588jlUphbm4OhUJhkaKfmpqCEIKNQGMNzszMDIrFIjKZDBdrkRdH/Uhpo3w+j2w2i1AoxGPebrfDbrdzTUYikeBiw87OToyMjOC+++7j3LXcr2azmY1oWukg9xPNYZpr9DNx+vRpDAwMwOfzIZVKYXh4GFeuXFk0hq1WK7ffYrHoig5lYyESiXConbYOTqfTGBkZQTgcxmOPPcZOByF79G+//TZ8Ph+eeeYZXbShUCggEokgGAzCbDZz8SP1169//WuuUTDOByEEUqkUpqenUVlZyVET+ju19/jx46ioqNDdO6W2CoUCMpkMLl++jB07diwyimisGGU39YumaUvWAq0Hn5pivFuNRCLBoStaepFIJHD16lWuCH3kkUfYMjWZTHj33XdZ8ZGAj8VicDgcnAP++OOPsX//fp5YsiKhCUdCjT6vq6vjCUGTfmJigosASRhRtTgNwFOnTukKSmSoeO3OO+/ET3/6U8597927Vyc45ubmkEgkMDExoRP6c3NzLHRSqRTOnj2Lixcvorq6GvF4HKOjo5iYmMCPf/xjtLe3I5VKYXJyEq2trQD0uWz63Wq1IpFI4OLFi+jo6EAmk0F/fz/n1k+cOIG6ujr09/fjrbfeQi6Xw8jICE6fPg2n0wmbzaYTihMTE+jr62Oh/MEHH+DUqVMoFouw2WyIRqP4wQ9+gJ6eHnzxi1/E0NAQJiYm4PV6kc/nS+5ONzs7i/feew+XL1/WrRig687NzeHKlStwu938jGn5Hz0fQC8M0+k0XnvtNZw6dQqZTAZCCA7Zy8ba+fPn8f7778Pr9eLs2bNsuFAesbKykp/R2NgY3nnnHVRWViIQCODo0aMcvs1kMpiZmcHOnTtZEabTaUQiEW6/ETn8btwsBpjfS5yMJRKy//zP/4yZmRns27ePI1vxeBzHjx+H0+lcMuowMjKC73//+3j22WcRCARYoQPzUYxwOAyn04nJyUlUVFRw37z55puIRqO4evUq72sRCARQW1uLY8eO4ZNPPsHs7CxMJhOOHj2KZDKJtrY2jnwZlSEwbyDKHj31IQD09PTwPZFyzGQy3KZgMIjvfve78Pl8AOajVr/85S/R09OD7du3L6noqV+M3iZ9du7cOXzwwQfwer0Ih8O6KMHY2BjGxsbgcDjQ39+Pqqoq9PX18Z4Q1E5jEZrs1NDPExMTmJubQ319PUcV5ZoBYF4mGtspj+2RkREeF/JS2Fwuh3feeQfnzp3D1NQUpqamsGvXLgDXjO1wOMyFs6Rcqbbi5ZdfxoULF3DXXXfh61//OkclKCI4OjqKkydPwuFwcKqD2vvRRx8hnU5jamoKwWAQU1NTi6ruaYzPzs7qNvj5THr0n1by+TxefPFFvPzyy3A6nfySih/96EeYnp7msC6wOM8FgCt1acCT90kK/B/+4R9YOESjUQ65O51OxGIxnD17VrechhQ8hQtjsRg+/PBDtLW1sWKfnJzEuXPnOI9GUGGZ0XtKp9Pwer3o7OxEf38/gsEgbDYbUqkU3njjDczOzmJgYABmsxmapiGVSiESibDRQ6mBUCiE//yf/zPOnDmD2dlZuFwu5HI5JBIJ2O12TE9PY2hoCMeOHQMANDc3Q9M0jhrIAkbOvRWLRRw/fhwffvghZmdndYVUQghEo1H2SOT+l+/zyJEjuHTpEisVerVtoVCA1WqF3W7H5cuXUSgUODqRTCbhcrk4V2lcn0/Xs9vtusJLuo9oNIpEIoFgMLiozUsVWcrFbXJRZyQSwYsvvoj9+/ejrq6O84/xeJyNwlgsxopeFkJ0/unpaZSXlyOfz8Pv96OlpQXRaBQDAwM4e/Ys4vE4BgcH8fbbb7NApns5d+6cLucJAN///vc5ZUBtHRsbwwcffKDLFVMhFxmu+XweLpdL9zIm+v6JEyeQyWS45mBsbAxNTU1IpVL4/e9/j8HBQV6bbrPZUFVVBbvdDqfTqevXL3zhCxwVov64dOkS8vk8tm7dikQiwW/5C4VCsFgsyGQyHAGRnyX9I0VPz11+RiaTCaFQCCMjI4jH4wgGg0ilUmhpacHExATi8Ti8Xi927NiBiooKTE5OIhwOY2pqSpfvHxwc5P40m82IRCIcKpfvT9M0hMNhvPnmmzh79iyH3yl9A8xHI1KpFJLJJC9BzWQy3OfZbBYDAwPweDwYHh7G448/DrfbrVP4JNPIg6c+unjxIlpaWti5iUQiCIVCi3LmxiJX+WdZbr711luYmJhAoVDA+Pg44vE4ZmdnWeZomsbpAfoORayuXr2KYrGIPXv2YHR0FK2trTxfh4aGMDc3h1QqxQbs8PAwnE4nkskkzp8/D7fbDa/Xu0hZGxX91NQURxnkJb1ydGIjUIp+Hcjlcshms/D7/axMjOFKmoDJZBKhUAgOhwMXL15kr5LC3NpCDrlYnF9+53a70dDQgP7+fvasjK8UjcViuHz5MlKpFKxWK4aGhhAMBtHZ2cmeIYUmSUFSmO/nP/85hw5pWVyxWEQqldIJ2EQigerqat4VinJSFM6nsBbt833x4kW8//776OzsRHd3NzKZDI4cOcI1AqR0gsEgpzRyuRy3V+7bixcvcgjZGMIHrm15mc/nUVZWpsvNVVVVsQdQVlbGz8XoMZM3Qs9Orqql/hsZGcHExARmZ2exbds23TOWjSsZEnK0LSpBP8diMY4EyCFqYzEe5Tpff/11hEIh9hhJ8eZyOUSjUVy6dAk/+clP8G//7b/la1FaBZhXqLW1tQiHw7r7p5D8e++9h/HxcW6DyWRCNBrl5xSPx2E2m5HP5zl6QEL+/fff50pouR9SqRRmZ2d5UyRSknIkKBKJIBwO81wizzCbzcJsNsPhcOj6bHJyEi+99BI+/vhjDA0NYd++fUgmk4hGowgEAujs7EQymcTIyAiuXr2K+vp62O12TjlQP585cwYWi4WN5kgkgoGBAczOznIonZ5vJpPB8ePHUVVVxXMgk8ng8OHDqKiogMvl0il66kPZM52ZmUE2m9WF//1+P0ZGRnjrYDm0bfSgac8D6g+TyYSZmRkkEgkMDw9zftztdmN6ehqnTp3i9EplZSVcLheGhoZ04WvqC4oWUkicxubk5CQbXpcuXcJHH32E999/H+FwGHa7Hfl8HpFIBJFIhEP1+Xwe4+Pj8Hq9PM5o0y2TyYR0Oo2hoSGk02ldzYDcHuq3TCaD8+fPw2w2c4qGxj71gVwr0NLSwjU9Rofl5MmTyGQyaGxsXLQnx9jYGK9QmZiYQCgU4n6SjR+aF5qm4fLlyzCZTLzKh46hJZR1dXXcr0rR3+aQMCBBYsyhA9cUy4kTJzAxMYGGhgYIIRAOh2GxWHhQZrNZPl+hUEBdXR2qq6t5n3Z6ycp7772HX/7yl6ivr8ddd90FAKygr1y5gtHRUSSTSRYw5KUac0VXr17F7OwsHA4HbDYbfvCDH3CY+cEHH4TVasXLL7+MkydP4sknn+QtJYnx8XGUlZWxgpUnajKZRDAYRFdXF6qqqtjYkYVgOp3mnCb1g9x3x48fx6lTp/jvck6Q2kGhV3rpBF3fYrGgubkZhw4dwqVLl7Bz505+XtFoFNFoFNPT09i6dSt++ctf4uTJkygWi3C5XNxX5CmFw2FUV1fDZrMhHA7jjTfeQCgU4kkse/TGHB1wLawqV1wD8+mScDiMqqoq/j4VIclCqlAoIJlMYnR0FJFIBMViEcFgkDcTIcVjsVgWLe8jQyMSieDNN99EX18f3njjDdTX1yOfz7Mgtlgs8Hg8rOBIMIXDYZhMJoyNjcFisWB8fByBQACBQICLEkdHR3X3TeN9YGAAIyMjGB4eRlVVFf7+7/8eqVQKZWVlOgE4OzuLTCbD2/rS5j+Dg4Pwer3o6urS9UcymYTNZoPD4UAoFMIHH3yAaDQKu92OnTt3orGxEdFoFCMjI7qtiT/55BM4nU6YTCYMDw9jbGyM708IAbPZjGg0ilgshoaGBtjtdk47URqCvOBsNsu1El1dXXA6nbDb7brQvext0qqPiYkJWK1W3S5rZICYTCbE43GMj4+zLKC2A9fW8qdSKZ4DtDMcRaFmZmbQ1taGYDCIoaEhjI2NceRsYmICZ8+exc6dO+F0OnUeaSgUgsfjQV9fHw4ePIhDhw4hHo9DCMHh8Egkgk8++QQnT55EMBiE1+vFwMAATpw4wQYojfPR0VGk02neEZD65ciRI7zxViwWQywWQ29vL4QQvB+AnKMfGRnB5OQk6urqdNEuOZVJMoGMicHBQVRXV+vGTDabRSwWg9VqRTwex9jYmC6NQWMtEolwf9D99Pf3w+Vy8bgVQuD8+fOYmprC7373O3i9XpSVlcHpdCKVSiEajcLpdGJ8fByJRAKtra0qR3+7Iw8643IP2aMnr0xWIPIgzWazSCaTmJ2dZaFis9l4HTEJ+7m5Obz55ps4d+4c4vE42tra2KOUBcPZs2dLhmeNS58oqkBGytDQEFwuF6anp9HQ0MDhKCEE+vr6dHl8etmJXAhF9y+nEiwWCwvLeDyOaDTKgjUcDnOIVl63DoCFH7Vvbm6Od9AiwUnFQ/F4nNcxk5Cla09PT+Pjjz/G9PQ0XC4Xe6Nzc3N46aWX8Jvf/AbpdBr19fUYGRnhZzA3N4dMJoPZ2VmEw2Gup6CiSPonGzGyoqV7icViHLYkxVoszi/RMxYFkqLPZDJIJBLw+/26KAqtpJienubwJikWOSdufB7T09P47W9/i3vuuQdzc3Oorq7GxMQEotEoysrK0NzcjGKxyJ6OEAL9/f28zS69EYzqJzo6OthQOHLkiE7RA9c2JBkbG0NdXR0qKysRiURw/Phx9Pb2IpVK4ciRI9i1axenLoxjVM4/UwU0jb+6ujqUl5cjFotx6JXGRaFQQHd3N0wmE+8HQK8RlsPBFJ4nT7y+vl5nwFE6KZ/Po6enB++//z6EEHjllVdw/PhxzM3Nwefzcf8nk0nkcjlEIhFMT0/rDLZQKISzZ88ikUhwbc709LSuFsLpdCIYDGJ6elpXbEn7IJjNZpw6dQqTk5M4c+YMqqurdVECh8PB9QY0NmKxGDKZDLxeLxKJBAYHB9HY2MjRNwDscFy9ehVmsxmXL1/GyMgIG9BtbW08Bqenp3m/iEKhgKGhIWQyGZ0RDlwrAKT6IKfTiVwux/LEarViYmICuVwOHR0dcLlcHGkcHx/HzMwMF8Fls1mEw2FEIhGk02nY7XZUV1ez8qTnNTk5iaNHj3L0KBKJ4Ny5c3yfFosFd999N86dO4fZ2Vk0NDTwEllKW/X29vLx9fX1GBsbQy6X46JKmqN9fX2w2+0wmUzYvn07ysrKYLfb2UBIJpOYmJjgAj3l0d/mGAX+Uh49DZJIJMJhukAgoMtZUT7wBz/4AY4ePcp5UJocpJgvXLjAE5rWjNLgpHCTMY8o74ktCzv5BS9k6dIEa2hoQDqd5hz5O++8o9vZj4SJvB84KST5vqlgzGQyYXBwkJcGhcNh3d7X5NVdvXoViUSCPUyy1qenp9nzpupbCq1TzQCFD+lv5CVTBb3ZbEY2m2UPZ2JigoVlRUUFzp07h7/7u7/DzMwMT3KXy4VEIsEhXYocyBM4n59/mxwZZsC8AD106BCHKWdnZ3HixAnOw1I+k8LWVO0vhMCVK1dY+NMrYufm5nDhwgVMTU2hqqqKl0rK67Ll1FE2m+X6BADs5QLgPfLpmVG9xocffshRAsqBFgrzLymhsUrXoedOaSEao9lsFsePH+dlZNRX0WgUc3Nzi/auHxoaWhQRkecUhW8DgQCuXLnCEZLTp09jZmYGZWVlGBkZgc/nYw+SPOzLly8jGAyitraWjXFawtfX14epqSneA4F2xKO8bVNTExt9V69ehc1mQzabxfnz57m/k8kkLly4gLm5Ofz0pz/FmTNnUFZWhhMnTqC1tZUr1emZkDFANQm00RPlyi9dusTGqcfj4egNMK+oaFlkMBhEeXk5L3mjaIicApIN/XA4zMt45bQTRQLJQJLftkfjanx8nKMT4+Pj7LXSMyBlRkVxwLyiLy8v5/NPTk4imUzCarWyc5HJZDA0NIRDhw7B6XQiEonA7/fj/fff52iL2WzmZacTExM8Fyll6Ha7YTKZMDExgYGBAUxOTmJubg52ux2//OUvdctHKXpE9TjT09O4cuUKG/H0HEi+TUxMsBEDzIfwycGYnJxEoVBAa2srGyiy8ZROpzExMQG73Y6RkRGl6G93ZE+GhKJxNzA590w5rGQyCYvFoguHZ7NZZDIZvPrqqygUCnC73fjkk08wODgIm82GXC7HlcDpdJpzmsZBRBXVcs5MVvTUJlL0tNadBCVVGAPzFcqzs7OYmpriECtN6kwmg1QqxZODhNLJkyd50xLyXCYmJtDR0cHCMZVKwW6363YKI690ZGSEd++Lx+Nwu93smVAkhDxZ6mfylGkplbx3NuWWs9ksC1Sr1Yp33nkHdrudd6Kja9JmPnSvtG8/3Y+80yB58KdPn9YtXRNC4PTp07rjR0ZGMDAwgN/85jeoq6vjFQIUrrZarYv29Y7FYvjlL3/JuVjjbopyNAaYF86///3v8dZbb2FgYIAVGP2NPOJMJoN4PM7LvV5//XVMTU0hGo2y8TU7O4va2lrdM6f+lnfmS6fTeOWVVxAKhXh/CIqu0HPRNI2jJfF4HJWVlRgdHeVoB23AQuentrjdbuRyOc7NU/vJW9W0+Rx6PB7HzMwMysvLUVdXB4vFwvNjZGQEb731Fpqamng8UT9T4ajJZMKePXt4HIZCIXi9XlaY8pzu6+uDzWZDKBTikC3VmdTW1mJ2dpYjIDSWe3p6dLLCbrezwpBTd7Qk1OPxoK2tDclkkmXHb37zG5w8eRLNzc08dqh9hUIBiUSCDZl0Oo1QKMRKihRwPp/n6A0Z0GazmQ2qWCzGRnIsFuMaBmDeqaCoHD3/UCiEtrY2NvpyuRzMZjM7CPTsycO/fPkyysrKUFFRwfcViUQwOzvLaRAat7Lxl0gkdOlBOeojLzOk8ZZMJvmlRTRuo9EoXnvtNa53OnnyJEKhEOx2O9ep0ItyKMyfTqdZLtA133zzTe7P0dFRHrd0HLWLZM3JkycxPT1dcj+M9UAp+nVADplHIhFcuHABv/rVr3Th2R//+Mc8kFwuF28mQcpFVlgAeLc1efkWbTlJFqoxVFoszi8l+fDDD1EoFDiHGo1G2fqUvXkAvL6UhPv09DRisRgrcfIQZEFEmEwmBINBTExMoLKyErFYDIODgwiHw5ybo6KvUCjE3gApWzJqyAuPx+NspQPzO47RZjikvCkacvz4cezbt48FBXno0WhUl2qQDQKHw8HFhGSQZTIZDr+53W42OuTQPAkOCrMD11YnUEhR9nDoOUajURw9ehRzc3OswOllMLKipEgGhfCHh4fR1dWFVCqFsbEx+Hw+fo+9/FY4WoZF9ycLmN/+9rd4/fXXuaiS6hNkT07e6pUUUiaTwfDwMBeWkfKi6E0wGGQBHolEcP78eS6AonPSKgIqKqP7HB0d5fFDyzNTqZQu2mUymTh3S0ZdJBLBpUuXMDMzw22iuSTnZWlzHTK8zGYzV6yT9zg5OQmr1QqLxcJFZvROA2DeWKOojdVq5T0q6HmGw2E4HA5EIhFWpvF4nA0pqnWgEDzNWfkNa/K8JYNCjoaYzWY4nU7U1tYikUhgaGgIu3fvRigUwsWLFxGJRLiOQi6opDlqs9m42G1kZIS346VUhKZpcDqdHPkA5qMMmUyGN5M6c+YMZmZmuLivrKwMmUwGv/71rzE8PKzzcmkOkMNC84ucB+p/2Rihe6dokN1uh9vtRiKRwPj4OFe5kxFIUQtjSofuWy6QA+aNKHJw+vv7eaUSRQYKhQLC4TAXIGezWa6yP3bsGKxWK1KpFKd7aJzR2KK+npubQzweh9/vRzqdxujoKFKplC7qSbJmJS/kWiuUol8HZCuTdhqLRCI4efIkpqamEI/H4fF4+F3PpHwprCyEQCKR4LCP7FEmEglWPpT3MZvNLOhkq1f2CEiRUvtIUJP3funSJRaa5E3K69yLxSLGxsbw6quvYsuWLchmszh06BCv8afwbCQSgdvt5iVRVHk7OjrKwuif//mfeYMLMjgIuTiPJuJrr72G8fFx3TIgyo2bTCYcPnyYw2Kk4CiMHA6HF9UqkHAhy58UFYUEydhwuVxcaEX9LYeSZW+W/kb9HgqF0NTUxH8nhR0MBjE7Owu32410Os3PRg6xZzIZvhc6F+WcTSYTLl68yN4VLUNMpVIc8qVrUhuDwSB75CQsyQihZzc6OsrhT2oHVbuT8iUlR4Ym7fVARZbDw8OIRqNcZ0GKmyI49GzoHxkrNHZkRUCFmHQPlNIgyJtzu926KJS8yQ3tEUD9PD09jTfffJPPSwakz+fD0NAQjh49ymFqUgz0vFKpFDweD2KxGL+ml54ReXn0XXlcFItFVFdX68LbmUwG0WiU92SgPpIL/KieRE6D0Br7dDqNjz76CGazGePj41wXQDlpSklNTExwsejIyAhHSejZyfUvNptN5yGT80DKlLxh8sSphoCWoMmOBhlLtMxUHo+kIGnsyfKOnJnZ2VkUCgUuEAyHwzh58iSnseRIEilluicy2ijCGYvFWK7JKS1ZFhSLRQ7vk8EiR1up8JcUdKFQ4DFBkSM5GkIOC6V2qHaGZASt/qFl1xuBUvTrQKlwEu2WRZPP4/FgZmaGPRmaWCRgKKdMYXiysKmKk7xdUqbl5eV8XblAhEKV5P3S1q/pdBrnz5/H1q1bMT4+zjlXynNTCJSsXCEE4vE4b0ASj8e5mIyuR5Y55dYopEqDn5T48ePHeY0tedVGT4QmMxXTTE5OYvv27aw8KcRM7aVzy5PXGMKW6xBI4JGBRNekHCDd6/T0NHsCpPBk71d+5larlYXs2NgYb3xC15QNDopinD59GiaTCR9++CF27NjBhUZ0TvKuyVMG5oXPzMwMG1MNDQ28ppsiDXJo8tSpU+jp6WEhMz09DbfbzblZEuxjY2NIJpPsmdISQyp2oj6icUfGBn12+fJlzoUPDQ1xJIeQDTqn07lIIZInTuu/yZulkDQAjoSQEqRnGolE8N/+23/DxMQEV1MPDQ3xEtfKykp4PB7Mzc2xl+92uxGPxzE3N4fa2lpW3ul0mpVFNBrlyEomk2Fvn6Iu1H+0/4Es0Om5b9myBYcPH0Y8Huf0A0VKLBYLj2XZuKHzUuROLq6kTYlGR0dZOU1NTfE8kiMzNBdCoRDi8bjOm6f+I+V34cIFjI2N6SKENO9pwyJ6ThR2p70IjNFE2v5VTudQsaOxXimTyXCtgcViQTabxezsLBuWlFqhdf80pmT5SGOJipBpy2CSpTRvxsbGWE6Ro0NOFMkRkiFUdEr9bzabMTMzo9sDw2QysTMjj+VYLIZwOIyamhqdPqBnGgwGcf78eZ3zsp4oRb8OUD5I3i6RlrlQ2Au49hpZUnAypBjlyUheHylq+X3jlLeTl66QNUrno2p2l8uF8fFxnDx5Ej6fD+fPn+e1tB6PhwUY5Uhp0tPys8bGRt11CbKq5dUEJBjoXhwOBwsvs9nMgldWgsA1D2Bubo4t5Gw2i2PHjmF8fJy9qkwmg3fffRf19fW6ne3Igjf2rTzpZCOFPpudnWXPgV6wk06neTkRQUU49BkVP9G5MpkMgsEgRxU++eQTbjcVIsn51JGREd4Nj9ovX0uOyNCzJyFnsVi4Apmek1wUOTs7i8HBQa5RyOVyGB8fR01NDaxWK/exvHyLDEO57oOUazgcZoFNz5g8U/LGT58+zc+0WJx/FevIyAjfF9Uh+Hw+9uACgQDfP80jMirl8REOh1mRklFqNCDJa7bb7bh69SpCoRCnrGw2G5LJJKanp3nnylAoxLs3yimaSCSie64kqOnZUaSEjG+am/F4HFVVVdA0jRUOLZmj5xiLxXgMyYaBEdkIjcfjHGb2+/3c55FIBC6Xa1FEhuYv1XKQsUrRA4p8/e53v8O7777L90vtoDQQpTVk44PmdilFT9+l9tNcNKYYycgkhSvfbzKZ5NVIVNwnh/mNBg2F7MkwvnjxIitVs9kMk8mEgYEBvs709DQbDxMTEzpnAQCPeTJEyOghY4oMQdoISB4fiUSC05Wyo0HjymazbVh+HlCKfl3QtPmXj9DbzBKJBC5cuIDx8XH23i0WC2KxGGZnZzn0BOj3QqaBLIezZY+dkL9j3J+eLFISxDQxKUJQW1vLFe3ZbJarzalOwBj2DofDvMyHBIesMPP5PEcGaELIFjGFC+lz8jDkF4PI1yRvulgsor+/H5FIhI0a6iNSnufPn+dNbuRzkYFEFep0frlN1MdkKKXTaQwMDHBuXhYmhKyM5fw6MB/doGVvJpMJv/rVr+B0Ojk/aHx2k5OTLEQA/e5gpHTpnuRCTgC8iUgikYDJZNLtgU+bAtGualTtTaFYKraSX2hE56fwsRxyp/FMUR7qE2oPCeDBwUEeb/R+8Pfff5+NXxqTRCQS4V0G5ar0fP7ae9llZUGRBxpvNKaoP8kQo9+pNiSTyejysJR7Beb3X6D5Q4rHOLfkPQrkcSZ/Tscmk0mcO3cO2WwWV69eZY+aQr5Uc0AFuLL8oP6X0bT5nDrdq7wjHUUcaGMWWdHTPJJXvpAxTjKG0kDyGJbHtZxbBq7VrMj7AhjbKssqGifU9zLU5zQuqc+pMJPmHkXVSMnKtUJ0/Xw+z6ksv9+P4eFhnWKemZmB3+/n69L+GRSJkw1/eUzR8ZQqk1MOExMTqK+v193b3NwcBgcHuUiRzkn3Sc7ERqEU/TpAVj1ZcE6nE9PT06zUqFKedr4jTwDAkmFnmpBkXZPnbBT6mja/7l3eeY3OKReukKI9duwYQqEQEokEGwWUj6LzEXK1KxW6GQU2eUFUnWw0Ymhva1kIyJtckCKTJwUJCVpeI3uSADgv3NjYyCE4CsvlcjmegMFgECdOnGCBRYKc+pDaRwKJqnOpGpoqzQn5vuPxuG7vAAp/0mdbtmzh9A3l/+X+lSuXjf1OioTaSssG6blTuJn6Tx5PlOohr1kOtZKHSfcqRzpofNAzjcVicLlcukI/o0KQjSJSZLLAN65aoGI4Mhqov2XDAZjfXUzeW0DOg1L/kOKSFR8ZmBQSp/XbZACQAiHjU46QyeOZxqixQJb+TmNGbl86ncbFixdx9uxZVFRUsCEtRwtontM/o2csywRK68kRMhpPspFtfIsg9SdtqkRzj6J2FPYng88YWZNTCLLBL+ekS238QmNWNsjl/jQeS8fJe3LQGCdZKI9xeS4anwfN5+npad0cpXNSJITC65SeMo5pqtshg4bmA40hGq82m41fdETQ/gBkhBrbODk5idHRUfT29i7qj/VAKfp1gJaXAdeqbqkAijwV8i7kZVlCCK7MBUq/JIO8TZowNAhlT/DChQvw+Xy6/Kus6GUFJy8VIUFEXpQ8uYFrubRsNssTw+h1UBvpc3nwyx62PAGNQs4oaOjvVEsgC7di8VohFv1NFvbyUiRN07jaudRGMrIHKOc3SVCViqQQxr4i4UWK/tixY2xwkKIyCj1je2QikQgsFgsqKysBXBP+ADiNQYJKrgynIiu5XoL+RorBqGBIMMkKl9pM92qEzkfnko27QuFasSn1J21MQ8YlGXjyc5Wfi/Fa8jOWPVij0UlL4uh6FC2gv9P2vZQGkcOrcmpmqfA0MG9oyi9roQiCw+HgcK/sKdK9ylGLUik8WYEnEgmUl5frIizGsLncB7IBC1wbW6S4ZG+Yzm+8rtxH9LP8DOT7MVIoFNjwk48rNXbkezfKG/rcuMdGqRQHfd9qtSIYDOpeA01/y2azuhx9oTBfFyK/8Es+nj6TK/yNxlo6Pf9KbbkP8/n5l1pRbYsRqhHZKJSiX0N+8IMfoKysDL/61a8wODjIFcG0Dp28JNoRitZd0n7IAHRefCnIuyoFWbrhcJiL6IyehlGhplIp3Zag8uelvBva5EX2vku1gwSILCyBa0LbeJ/L3bN8TqPHAVwLF9M6ZVlhysKfqr+pQtkIHUf5VKNhZPyOMdphVNyygXD+/HndGt7r3a8R6ktaJiWH9o3tM/YrRY6oPXIUgQylUv1gFPgULl8K+bpyqJj2R6D+oapsOY1DKY5SyGkFgowC+b5L9b/8voZSyoHmhBzOJuEt3+tyiqXUuWXjhVYMyNEp6hf5OS7VtzQfBwcHdQV7pdolt0XuD3kOyH1GESb53o3Xlo0Tua+FEJy6KzWe5Xm4VP/J15H/L9V+43bRS0GpKOP+E2RoGMdxqTlgbLccbTMaJSTrjM4LPW/ja4wBcOpso1CKfg3JZrP46KOPcOnSJX5jGlmQ8iSSw8b0Pdkz1bTVvatYtqppcNFAN1rcxkkiV5Ibz2lEnmhLCVfCOCmAa4Ks1L1dTxDQtZYTuPIafyIej3M4kxSLce93YzuM4fOlhMtKDBXycvv7+9mDo5cNrRRSJrTcy9j+5SIBQ0NDOiEuR5CMy6KWureVfC7/nTx2GcpLG6MFpDBKGVJyO5e6zvXaI0eQ6NilvEqj8bTSZ7RUu8mAkb1FaocxggGUnhf0HUodGEPRpe5jJX0i/0xhbGNExHh8KQNjOSW5mnG1kr/Tc1zKsCBIBhgVPbW3lFJeSo4R8hwjo5TGEY3Ppfqu1PzMZrM4ceIEnnrqqWWvu1YoRb9GkMdDlZaUH6TiH1loyHk0QK8US1nj18M4+SksvZJij1Ih7KWg8y2nKImljiHvablQ6FIsZwyUEugAFuUsi8ViyYIgGaN3sdp2ljofXY+uLUdaVvp9TZuv4DaOn+WYm5vTvSRJPqfsdZa65lpRKhJDRheFsJe6ptx3xs9X4iWSMSEXjC51LmNKaKVzcKm+KqUgZePROO+Wux85VL8cpZTbclDUY6lomdzmUp+tZhzfLLKBuBzLRczkglvjuVfTDrkNtNpoNcaxpmm6rbHXG6Xo14h33nkHR48eRTAY5Nd6UsHaapT2jWAcSHJeeiXflZfILYccrlttm+TPVuKJrZZS0YulWInXs5btI+Eiv2hotcJRNgBXO57k3Ply514vSik8ubDtes+j1P0upZRWcu1SlEqZrVVV9FL9u5J5ZGS5+1hJf5S6p9UaB+vJzd4fcT2nYKl6iJVQyti4kTlEK2k2AqXo1wgKEV+4cIHXPQOlQ9jrzWqvtVprdqVh9lLcaI56JawkMrESj2A9npVcIHUzhg6lWlbLcobXRo7NUtzI9dd6jK/HeFwPNvtZ3S6slcGwFtdbiqVqrdYDpejXCKqyBK5ZyMZ1mRvFel/rZiIUt4L3sNLCoPVgLdIAStgrFDfOraLor169uubtWAql6NeIc+fOYWhoiNerAmsX+lMoCKXoP9vcLpEHxfXZyND9yku7FUsyPj6OX/ziF7zsbKX5Q4VitahxpVAoVotS9GvAK6+8wltPLrVERaFYC5SiVyg+HZTabGy9UIp+Dfjggw9KbnWoUCgUCkUpysvLN+xaStGvAbTftfLkFQqFQrESbmT1zI2iFP0aIHvyyqNXKBQKxfWgNzluBErRKxQKhUKxwWzkOnql6G8STdMQDAZV2F6hUCgUK2Z6enrDrqUU/U1SLBYRDAZVyF6hUCgUK6bUy5rWC6Xob5LVvPxCoVAoFArg5nYYXS1K0d8kakmdQqFQKFbLRip6tQXuDUIvR8lms8qjVygUCsWqUIr+NuB//s//idHRUfj9foRCoc1ujkKhUChuI0ymjQuoK0V/g4yOjiIUCuHw4cMrej2qQqFQKBTERr7JU+Xob4Lx8XGkUimVo1coFArFqrBarRt2LeXR3yDBYBCXLl1CX18fMpnMZjdHoVAoFLcRyWRyw66lPPobYHZ2FidPnsTFixeRTCbVe+cVCoVCsSrU8rpbnEwmg3Q6jVgshnQ6rUL3CoVCoVgVStHf4qTTaeRyORQKBbX1rUKhUChWzUY6iErR3wCpVAqTk5NIp9MqP69QKBSKVbORTqJS9DcAefSapqmwvUKhUChuaZSivwF++9vfQtM0WCxq0YJCoVAobm2Uol8luVwOiUQCuVxObZSjUCgUilsepehXSTabRTgcRjKZVHvcKxQKheKWRyn6VZJOpxGNRmGz2dT6eYVCoVDc8ihFv0pSqZTuf4VCoVAobmWUol8ltEGOqrhXKBQKxe2AUvSrhF5io/LzCoVCobgdUIp+laTTaczNzamNchQKhUJxW6AU/SpJpVKYnp5GOp3e7KYoFAqFQnFdNkXRCyG+LIQ4K4QoCiH2LXPcoBDijBDipBDi6Ea2cSmy2SxyuZyquFcoFArFbcFmbe3WB+AZAP+wgmMf0jRtZp3bs2Ky2Syi0ehmN0OhUCgUihWxKYpe07TzACCE2IzL3xS5XA7hcHizm6FQKBQKxYq41XP0GoDfCSGOCSFeWO5AIcQLQoijQoijwWBw3RqUyWSQTCbX7fwKhUKhUKwl6+bRCyHeAFBb4k//XtO0l1d4mns1TRsTQlQD+L0Q4oKmae+VOlDTtBcBvAgA+/btW7cF7slkUuXnFQqFQnHbsG6KXtO0R9fgHGML/08LIX4N4E4AJRX9RqF2xFMoFArF7cQtG7oXQriFEF76GcDjmC/i21SSyaTaEU+hUCgUtw2btbzuS0KIUQD3APiNEOL1hc/rhRCvLRxWA+ADIcQpAIcB/EbTtN9uRntlRkdHN7sJCoVCoVCsmM2quv81gF+X+HwcwJMLP18BsHuDm3Zd3n333c1ugkKhUCgUK+aWDd3fioyNjeHq1aub3QyFQqFQKFaMUvSr4KWXXkI2m93sZigUCoVCsWKUol8FoVBIvcxGoVAoFLcVStGvEE3TcOrUKfV6WoVCoVDcVihFv0Lm5uYwMDCw2c1QKBQKhWJVKEW/QkZHRzE7O7vZzVAoFAqFYlUoRb9CTp8+jXg8vtnNUCgUCoViVVxX0Qsh9i3sTPeZ5r333kOxWNzsZigUCoVCsSpW4tG/BIAr0IQQlUKIp9avSbcWY2Nj+Hf/7t/hRz/60WY3RaFQKBSKVbMSRZ/WNC1Nv2iaNgPgP65fk24t/u7v/g5/8zd/o15Nq1AoFIrbkpUo+itCiM8bPrOtR2NuNfL5PL773e9udjMUCoVCobhhVrLX/b8B8D+FEN8A8DGAHQAur2urbhEuXryoPHmFQqFQ3NaIlbxyVQhhBvA0gF4AkwB+oGlaYl1bdhM0NjZq/+bf/JvNboZCoVAoFBvCd77znWOapu0r9bcVvb1O07QCgF8u/FMoFAqFQnGbsCKP/nZj37592tGjR2/6POFwGOXl5WvQIoVCoVAo9Kyl/hVCLOnRqw1zlsHr9SIQCGx2MxQKhUKhuGGUol8Gs9mMv/zLv4TFsqIMh0KhUCgUtxxK0V+Hr3/96+ju7t7sZigUCoVCcUMoRX8dWltb8Vd/9VcoKyvb7KYoFAqFQrFqlKK/DkIIPPvss7j//vs3uykKhUKhUKwapehXyLe//W2Vq1coFArFbYdS9CvkgQcegNfr3exmKBQKhUKxKpSiXyF+vx9+v3+zm6FQKBQKxapQin4VqM1zFAqFQnG7oRT9KmhsbITJpLpMoVAoFLcPSmutgubmZthsn4k39CoUCoXiU4JS9Kugra0NQojNboZCoVAoFCtGKfpV8Nhjj6m97xUKhUJxW6EU/SqoqKhATU2N8uoVCoVCcdugFP0qcDqdsFqtStErFAqF4rZBKfpV4HK5YDab1Q55CoVCobhtUIp+FdjtdthsNrXETqFQKBS3DUpjrQIhBCorK+FwODa7KQqFQqFQrAil6FcJefUKhUKhUNwOKEW/Sux2uwrdKxQKheK2QWmsVeJwOGC1Wje7GQqFQqFQrAil6FeJ0+mE3W5XlfcKhUKhuC1Qin6VqEI8hUKhUNxOKEW/SlwuFwCoTXMUCoVCcVugFP0qsdvtatMchUKhUNw2KEV/AwQCAQQCAVV9r1AoFIpbHqWpVkmxWITT6URNTQ2H8RUKhUKhuFVRin6VaJqGqqoqNDU1wW63b3ZzFAqFQqFYFqXoV8nOnTvZo1fr6RUKhUJxq6MU/SppamrCPffcAwBqK1yFQqFQ3BAbWdCtSsdXSXt7O9LpNAYHB1XoXqFQKBQ3hNls3rBrKY9+lbhcLuzbtw92u11th6tQKBSKG2Ij92JRiv4GoYekltgpFAqFYrW43e4Nu5bSUjdIfX09AJWnVygUCsXqicViG3YtpehvkEceeQSNjY2oqKjY7KYoFAqF4jbjMxG6F0L8tRDitBDipBDid0KI+iWOe14IcWnh3/Mb3c6lsNlsMJvNG1pQoVAoFIpPBxtZ37WZHv1/1jRtl6ZpvQBeBfBXxgOEEAEA/wHAXQDuBPAfhBDlG9rKJbBYLHA6nerlNgqFQqG4pdk0Ra9pWlT61Q1AK3HYEwB+r2laSNO0OQC/B/C5jWjf9bBarbBarejo6NjspigUCoXiNsPj8WzYtTZ1Hb0Q4v8F4JsAIgAeKnFIA4AR6ffRhc9KnesFAC8AQHNz89o2tATyZgdCCGhaKTtFoVAoFIrFbKSiX1ePXgjxhhCir8S/LwKApmn/XtO0JgA/AvAXN3MtTdNe1DRtn6Zp+6qqqtai+ctisVgghEChUFCvrFUoFArFqkgmkxt2rXXVUJqmPbrCQ38E4DXM5+NlxgA8KP3eCOCdm27YGkDKPZ/Pw+l0olgsolAobHKrFAqFQnE74HQ6N+xam1l1v1X69YsALpQ47HUAjwshyheK8B5f+GzToYrJTCajivIUCoVCccuymTHn/0sI0QmgCGAIwJ8DgBBiH4A/1zTtzzRNCwkh/hrAkYXv/EdN00Kb01w9Qgj4/X4Ui0U0NTUhn89jdnZ2s5ulUCgUituAtra2DbvWpil6TdOeXeLzowD+TPr9nwD800a1azXs3r0bkUgENpsN4XBYKXqFQqFQrAiXy7Vh11I7460BZrNZ7XmvUCgUihWj3l53m2EymSCEUMpeoVAoFCtCefS3Cffffz8CgQDMZjOEEKogT6FQKBQrYiM3W1OK/ibYvn07enp6lCevUCgUilURCm1cXbnSUGuAeje9QqFQrC+ftoipUvS3GVarFSaTSb3JTqFQKNYBIQSsVuunStlv5CvOlaJfA+x2O7Zv3476+vpllf2naZAqFAqFzHpFNE0mEywWC6xW65o4U7eKHK6srNywaylFvwYIIeB0OrFz585lB6LJZCo5GSwWCy/RW81AvlUG7GrYyPQGrYZQ6FnLPtmo5ym3Wa1w+ewghIDP54Pdbofdbr/ppczXGzsbJS+EENixY8eGXAtQiv6m+cpXvoInnngCwMrWRZYaSFarlS3W1Qy0W+llOku1W/58JYqXjJ4bwTiBzWYzbDbbuqVUbkVlU6qPjUryZoWZfA16udN6C0j5/LTKZbVsxPO61QzLjWzPauQReenLQUrZZrPBYrGgoqICLpeLx9xqMZvNcDgcS44fut5G9JkQAu3t7et+HeLWk1S3GWVlZSgrKwOAZQegyWSC1WqFzWZb9Dev14uqqioEAoFVCaNisXhDbTayFgN7qXYLIZYVzKQk6LiampoVC3I6hr5v7Fvq7/UQ8BaL5ZYytIDSfW2323W/y69TFkLc8D1Q9ImiVKsRkKt5HnSsbKzdiDAWQrBXuFZtK/U9egbLHWd8xfVqWM6IK8VGvDhlufz5UuNrJfNSlg0Oh4Pl640a7na7HVarFXa7vaRT4HQ6OWqwlpTqA6vVyu9L2QiUol8D3G43/y8PILIggWsTvNTgFkKgvLycLddSrEYgrNbDWomFvNLzyVYxGTcOh4M/kxUNAL5n8uSpv4DSQpcENp2PlJXT6URDQwMLHLPZDL/fD6/Xi46OjpKTu9S5V9NvshI1CqAb8TpXE5Y0Kjuz2cyCzPiZsR1ymogiHit5/sZjqK12ux0OhwMul+u6ilT+3kowm81c7Cq3ZbXCWH5ON9O2pcYIted6xpO8Qmel9yC3XR7f18tZ0xyU72klz2c55HbTvZrNZng8HpaDch8t1d9yJGg550iO8GmaBp/PB5fLpZv/K0EIAZfLxf3mcDh037VYLHC5XOuifOk5yONC0zRcvnx5za+1FErRrwEVFRXo7e1FNpvVfW6c9MuFhtLpNNxud0kLvJQVT5O3VKj7egrDeL6VWJcrUQRkyMjeHilv6gdjjsxsNvM/+W/y+eR+NJlMrNDkCeTz+VghyEKAFL7D4dB5/KVCzqUMkaWwWCw6o2Qt8sZOp3NJwW1sq8Vi0Qlt6gdN0xZ526VC9yaTCQ6Hg/vlep69/Hzo/8rKShaQZKh6vd7rKh/ZULuesqPrysqF7nWpPpcNQPkzeWwtxVKeqVFBy+czGqjLRdroe7IBs1y0y2w2s4IymUz8fOWcdal7p/MWi0U+xmQywev16o5fqm5oKeTjad6SweH3+3X95HA44Ha7S94fhdCXuz4ZojSmyLPfsmXLktHR5dpNUYR0Og1N0xbNJ7/fr5NFK2G5sSJf22jYFQoFHDt2bMXtv1mUol8DTCYTfD4fgMUPmZQVeT1ms3mRMsnn8wDmBQQNNkJWeATl9Ona8oAnQbqUly6HWgmbzbbIa1oNJFw0TYPNZmMPnpQAeeyykpAHv8PhYGEhv/KXFJDRe+/q6uICHbqnYrGIcDjMgo0MF+oLqoGQ+4H6je57pUoemFfK8vmMSmup6M1SyN73UsJDNp7k52UymeDxeLjfZU9oqfPZ7Xa43W6Ul5dft61ms1kXNiXPslAo8Ngmb0hWwtTuUvexlDdXyiiRx4wQgoX/csLebrfrlBp91+Px6KJNsjHgdDr5fKXaT20hb5DGo81mg8vl4nszphkIuV9oPC6n6EmpU6RQNoqdTmfJuh7Z66f2ycq31HNeTXSE7lf2gGnclpeX6+a12+1mJ0LuZ5qPdrtdN49lTCYTXC4X6urq8Oijj6KtrQ3V1dWorq6Gx+OB1+uFz+fjfpBZav44nU5ks1mWt/JcorC91+vl85diKcNquWNo/shyzOl0YteuXcv09NqiFP0a4PF40NraumhdpCyQzWYzD0yyVEm50YQtFouLvBdZ+dEkpokjCxX6O00eWblSW+Tj5AFK1vf1Qo6kaGSBZvSwjF4GhfXKysp0Cp3+2Ww22Gw2tLS0oLOzEzU1Ndx2owAj4SFfn/rO7/fzuV0uFxoaGlBTU8OKnp6PfE5Z8K027+t0OtkwoIlbVVW1KAJxPSUqKxSHw7Gsspe/Y7PZ+Fiz2Yzy8nJW9larFZqmLXrmhNVqRXl5OWpra9Hc3Ayv18thV0JOdZBwpzA/KVoS+CRsyYOkSIHsvcoKjgySUhgjOnL0gM5DSoaMSuOYpmPo+/RzoVBAoVDgvq6qqtIJdDJW5b4yGiXy86LnIBtBFBamvidjkI6Vr0VKcqlwOl2bDCo53WK321FWVsaRFDrW4/GwjCBjjhS/bPxR25ZSaEtBz9tms6GiogLV1dU8J2XvnfqSZJo8n51OJztHJC+MypH61ev1oqamBjabDYFAAF6vl8eI3++H0+mE2+3WRReMcoPGFV1DXuVEbaM2CTFf5V9dXb1IHpZyqq4nM4xjhs5DhuZGoRT9GmA2m/H444/jK1/5Cgs9UkI00EkQyLkhWXiQpy8rD/qfhLbdbkdlZSVbnT6fjz0UEog2mw2NjY1wu90c8qPz08CVJztZzuQdGXO6shcuH+/xeHQCvry8HDU1NaisrEQul1vURyTgaXAbz2u1WuHxeLh9xuuT4PJ6vSgUCvD7/XC73bDZbKiurkZDQwMrJOqbmpoauFwu+P1+/i7dGwl0agN9TgJDVkSllJJsnZMQb21t1QlZ+bilziUbTu3t7airq9MJJRJE8vc0TYPFYmFhZDKZUF1djX379iEQCOgEn3xfsjKiAlISOLIApePJwKT+kNMFHo9nUR+RAiVjy+iJ07mW+q5RUbtcLjYKaFwaDQd5HBlD6tQ3TqcTlZWV8Hg8aG5u5jaWlZWV9IZLPR/6WQ6fy2PFqDBkr5qOCwQCbHjSfLTZbLooVimlIBszwLwS3L59O7Zt24bq6mrdfctKX+43ep5yv5NhLhsBy2F0DmQDn4xwOaqUzWaRyWR4rsl9lkqldOctdS15fG7fvh3V1dUcfqexRvJQ/txYcCo7CA6HAz6fT6f0yThzu918D7Ksku+9UCjwZ0Y5QcfJMlye33LKyuFwoLq6etn+XkuUol9DysrK4PF4dNalx+PR5acpB095PHmQa5qGqqoqnXVJYWmz2YyqqiqUlZXx5LTZbCx06FxlZWWoqKjQebc0yGjgFotFvr7NZsOuXbtQXl4Ov9/P1rMskGii0oSx2+3w+/2or6/XCVa6f7k99F2Px8P/6O/keZNS2LFjh87rNob6a2trUVlZyYYJ9QUV57hcLlRXV8Pn87FxVF1djdraWgghOIdI9yI/A+O/5bxwk8mE3bt3o76+nr1FUkyygqXryFC/ypEZEtANDQ1ob2/XpRqam5tRXl7OXhT1icvlgs/nQ3l5Odd2bN26FV1dXaw45DoEEpgejwdVVVWLlKLxZ4o4Ufu6urrQ3NzMdQCZTEYn9GQlVFtbu8gTlhUDKTd6bqVqK8iIKxaLPG5l44yEpdx2CqHTeHI6nSzAZYPG4/GgurpaFz0hI5yMV1lAy2OZFL38PXqWXq93UWSsWCzyvdE90fiVz0lKUDaoLRYLPB4PbDbbImORolhy5IiMiZqaGgQCAR6PMvJ36DkblXap5yUrark+Rn4uNJdp7FCBJo1HmqPt7e1wOp0IBAK6uh6jA0RO0l133YXPf/7zAOZz++Xl5YvmKck6WYkTsjFGfSUbLTQva2pqWNm3tLSw7Jafi2y0kFFF7afojHwf9KxkY5rG7mqjKTfDrbU+6DZHDpGRsCovL0c0GtUpAFIysrVvtVqRSCRgMs0XzDidTkSjUfagNE1DU1MTbDYbRkZGWDgWCgUeSH6/H1/72teQz+cxMjLC7crlcigvLwcATE9Pc+RA0zR4vV7s27cPo6OjujSDpmkoFAo6ZUiD2+v1Ytu2bejo6MCPfvQjpNNpeDwe1NbWQtM0BAIBxGIxpNNpWK1W5HI59qYGBwe5n/x+P5599ln8+te/htvtRllZGUZHR5HL5XSCz2w2w+v1oqenB06nE8FgkPtOrqQlwVVdXY2ysjLk83nEYjHOy8lelslk0uXq6He6XrFY5N/J2JL7IZ/P82dkAMmeuNPpRDKZhN1uRzab5ba5XC5ks1k4HA5omga/34/h4WEWKI2NjaipqcHc3BwKhQIqKysxOzvLURLqE1nIkPIlz0/2suj+jIJQVlRGD4jGrux1UaQgFAohl8vB7/cjEonw3+mahUKhZH0Ihc4pclRZWYl0Oo3Z2VluPwBdmNrlcqFYLCKXy/HckEPrdXV1sFqtOH36NPeDXAdDz6W+vh7pdBqFQoEVIV2vVORGNiYor0t9b7fbkc/nWREB4LQJMT09DYfDwd8jo43SaoFAAJFIBIlEYpGhT/cuLyeTa3goEtDY2IiysjI4nU4MDAyw8VUsFrF161ZcuXIF8Xicoxajo6Pc74ODgzwf/H4/otEoK9xwOMxjKZvNchoon8/DZrPB7XajuroaAwMDsNlsfI+5XA5Xr16Fz+fjyAh9x+l0IpVKIR6Pw+Vywev1olgsYs+ePbh8+TLGxsbg9/sxPj7Oz0E2Dnbs2IHq6mokk0kcOXIETqcTfX19i4x3ADyvwuEwCoWCzhATQiCbzaJYLOrqS0gW19TUIBaLIZFIwOfz6aKNNpuNi/jkZ0QygsZdKpXi8UH34vV6kc1mEQgEEA6HkclkkEgk8OGHH27YpjlK0a8hRo9ky5YtaGpqYsWVyWSQz+d1FqLNZoPf70dtbS3m5uYwOzuLYrGI5uZmXL58mb2ESCSCyspKRKNRXWjSarUim83CbDajvr4en/vc51BWVoZjx44hmUzywCTvrKqqCsC8MCLB63Q6UV9fj/r6elitViSTSSSTSeTzeRasJAhcLhdqamrwxBNPYO/evfjFL37BXsu+ffsQj8cxPDzMAz2VSnFei4wa8rLKy8tRXV2NHTt2oFgs4r777kM2m8UHH3zAwo0UVG1tLXbu3Inp6WkWpCQoqX3yNeQ2y0KZBLXH49HdI016p9OJQqHASo6KKEkAkhC688470d/fj7Nnz+qeP13P7XYjEonA6XQiHo/rvLBoNApN09DQ0IDq6mqMj4+zUOvp6UEul8N7772HaDSK2tpafvmFy+WC2+3WGYnkbW3duhUmkwkdHR24fPkypyqSyaTOoCTB73K5uF2apiGVSvFxQsznKW02GzKZDGw2G3bu3Injx4/D6/Uil8vB6XQiFosBABsypGzluUBjnfK1RFNTE8LhMCt6MlpNJhPnXn0+H7LZLAqFgs6ooGhOTU0NotGozsNva2tDKpXi79lsNpSXlyMWi8FkMnGhFbVd9vbIqCDDjsY7zTm73Q6Px8PXLBQKsNvt6O7uhtlsZgPbaGyRkifDKxAIQNM0JBIJXb/QNcgALxaL8Hq9yGQyrOCpjsNqtWLr1q2Ix+McASLlWFdXh6mpKTZsotEoPB4Pdu3ahc9//vM4deoUUqkU7HY7GhoaEAwGYbfb0dbWhjNnziCdTiOXy7GxL3usVATpdrtRUVHBczCXy8HhcKC2thYA4PP50NPTg2AwiGg0isHBQd1qGYoU9PT0IJ1OIxQKcYEnPU9Z9lD/tLS0oKOjA7Ozs+yc0HwlA102XKnvaTxNTU2xYUmOTSaTgclkQnt7O1KpFIrFIrq7u/HJJ59gbm6Oo0QkE2guk+EUDofh8/mQz+eRy+XYqCUZSFGCXbt2IRqNIhgMwufzoa2tbVX65WZQofs1RLbiSIDk83m4XC60tLTA7/cDuBZmI8uXlAmFDcnqt1gsvDTMbrdzSJ4EI01+2Suw2WzYsmUL7rrrLs7hAfMKq7y8nAuv6LvV1dU6q7iiooI9Rjl8TwPb6XSirKwMW7duZS+dQuZPP/00nnrqKVRUVMDpdMLr9XJKwOfzcV7Y5/OhsrJyURqjpaUFZWVlfDyF5RsbG7F79244HA6UlZXplEdVVRUeeughtLe367w9OaRGP2ezWZ0ylnO9FGIkaLkeCVE51O31enHw4EE0Njbq/kYK2GQyIZfL6TxDug55fm63G16vlyM2drsdjY2NcDqd2LFjBy9dMy6ho6JDr9eLO+64A+Xl5ez9mUzzRWuBQIAFpJwzJeFJFcYAOApAnrgcJaA6DPJs5ePl/CUZjBSqpbbKQl0Ov9PzkQun6Jper5eNEepLurYcESOjp7Kykotcq6qqSu6ESN+jvpXPT6tcyHgmRU+KuaKigu+ZDD25b1taWtDd3c1pgurqak6/0TFyuLempkYXXqbIEBlitJqDxolc62G1WlFTU4Ompib2GuUxS9GLQCCA8vJymM1m5HI5WK1W1NfX45577tGlgKgwmGRCsVhERUVFyT09yEDfs2cP6urqeMw1NTWht7eXlWFvby+P471798Ln83F+nOY8jQWzeX5J3vbt29m4ozFIKQuSlzR2bDYbtm3bhtraWuzbt09XqEwpg8bGRvj9fnai2tvb0dnZifLyci5QlJ+T7JHLTgKNUWO9CuX5abxROoF+lguO7XY7enp6uDaEImPd3d3o7OzERqE8+jWEXlJAucN4PI5MJrNIqQDXimyoSra6uhqzs7OIRqNsFQoh0NHRgXw+j0wmwyHCqakpmM1m7N69G4lEAmfPnmUBSpO3tbUV09PTiMViHHKTc3PAtclLEy+bzWJ6ehrbt2/H+fPn2aKnXCwJYo/Hw0tpKioqYDabsXfvXnR0dEAIgdbWVuRyOQ43a5qG5uZmXoLodrvx6KOPYnp6GgDQ09ODubk5VFdXsyClVQgWiwVlZWXsQXR0dCASieDy5ctsie/duxcnTpzge9m5cydqa2t5Qwq73c6RlcHBQWQyGbS0tGBkZIQLJnt6ejA+Po54PM4pB1KIFIUpFouw2+26HQzJkKivr9flJH0+H5LJJOehi8UiXC4X6uvrEY/H2RAgZW4s4Lv//vtx6NAh9tgp1UJKwO/3o7y8HDt27EAymWSBZTKZ0NjYiMHBQbhcLjQ1Nek8tEgkglQqhbq6OgghOKpCgikej7M3S/1Pz1H27Oj+nU4nLwv1+/0IhUI6D182ymTDgzwwWYFSKqOurg5DQ0NsAJIHmcvl2DMXQqClpQXpdBpNTU1wOBzc7paWFn6WFKmQ/9FcoTD+8PAwj8tUKsUeH41DmosUPZNTJ2SgDQ8P8zyqr6/H3Nwc9yn1B0V6aCMnmlMul4vTZKTc6LnLRWMWiwVtbW145JFHUFtbiyeeeAL/9E//BK/XqytEdTgcaGpqQiaTYXlBhncikeCC1traWmzbtg3FYhHT09NIp9Ow2WwoFArwer0cGaFoSX19PXp6enDu3DkeD4FAAM8//zzGxsZgsVjQ0NCA8fFxjI6OsvG4ZcsWjI2NsSKkOpza2lpks1lomoby8nJEIhHE43F0dHTA7Xajv79ft3qEnpuctpS9dxqzbW1tyGQySKVSHB1xOp1Ip9M8dtrb29Hc3IyPPvqI57dc9ErPRY4m0N98Ph+am5u5TWVlZbBYLIhEIhwtk+ePnBYUQnBkRE4brTdK0a8hfr8f9957Lz7++GOdYq+urtZthkKDgJaO0NKviooKDrXRscFgEE1NTfD7/Ysq8snrpd9pEBkHpxCC8+aAvqCktrYWJpMJDQ0NmJmZgRAC27Ztw9zcHEZHR/k8hMvlQnd3NwtsyoNWVlayYKI1rul0GlVVVUilUrjnnnuQz+fx29/+lq16amdZWRkCgQAqKirQ3d3NE6WqqgrhcBhbtmzhdtTV1aG3txf79+/Hz372M5jNZi7OMZvNaGpqwpYtW9De3o6enh58/PHHLEQoRxqLxVBRUYHp6Wlks1lUVFRg9+7dmJmZ4X73+/3sbQUCAZjNZkSjUY68yHk46nu32w2Px4MtW7ZwQZjdbkcwGEQ2m0VNTQ1aWlpw6tQpVmwAOCRMQp68bp/Ph0gkApfLhUwmA6/XiwMHDuDdd98FcM1TraysRGdnJ+bm5mCxWLgYq7a2lgW88d3Xxo11SCiTgZVIJDiUOTc3x0q3rKyMQ/5y7UJVVRXi8TgaGxuxfft2HD58GCdPnmRPKJFI6IyUhoYGrk2wWCwoLy9HIpFgo5T6hoxLMkrT6TQrzfb2dsTjcTaYKIXV0NCALVu24L333tMVzsn3LoTAgw8+iEgkgg8//BBWqxUNDQ1wOBw4ffo056Vp7hSLRV7il06nkc1mkc1m0d7ejq985SuYnZ3F2NgYQqGQLpJEOWCKZtXV1WH37t2IRqP87Lu7uzE0NIRMJoM9e/bg5MmTPA7NZjMqKyuRSqXgcrmwY8cOOJ1OVFRUoKysjFNflZWVCAaDPHYTiQQ6OjrQ09ODAwcOwO124/HHH8fc3Bx+9rOfAQA+//nP44UXXsBrr72G9957Dw0NDRgdHcXRo0dZSVE7KdJGeWZqG81pKpoMBAJ8HurzBx98EKFQCENDQ7ykkSI4lOMPBAJssHZ2dkLTNIyPj5fcRIoiQeSA0POlNIvX60VLSwsmJiY4SkC1MXQ8GZ1ut5vlns1mw4EDBxAOh+H1ehEIBFgGyp5+WVkZXC4XYrEYqqur8Z3vfAcnTpzAf/2v/5WLTFOpFMsLAEgmkzqdIG9ktBEoRb/GkNAKBAKwWq0Ih8MoKytjwWWs2qSir8HBQc5rjY2NYXp6GlVVVdi5cyfcbjcGBwd1il4WXIQQ85Wvsrfp9/s5nCov3yPvkULhVC09PT2NO+64A4cPH+ZCpEwmw5Xd1HY6PxWpyG0ym83o6upCPB7nKl/6R54kGSAA8Oijj+LcuXPsnZO3WlZWxnlWgibIrl278PbbbwO4ZuFTm770pS+huroan3zyCZqamnR9VFVVxWuQKVdrt9vR0tKiC83S6oLZ2Vl4vV4u7CPB39fXx4KV7tlsNnOVvM1mW7QngBACyWSSQ6cU/iRPh55TZ2cnZmdnkc/ncfjwYezduxfHjh3j8DQ96/3792N4eBg7d+7EU089hdnZWRw6dAhbt27F0NAQexN+vx/xeJw9zurqamzZsgVDQ0Mc6iRvOZfLcRGTvOwrnU7DYpl/sUihUEBdXR3Gx8dZgFZVVXE9QHNzM2ZnZ9Hf38+h5UQiwfUdVJ0thzftdjsrM7PZjNraWuzduxenT5/G9u3b4fP5cOrUKcRiMbjdbgQCAS54lD1fOSLU2NiIoaEhnWEszwES2jRHenp6kEqlEAqFuBgyHo+zkeH3+9HZ2YkTJ04gkUhwWNztdqOmpgaTk5P8nGtrazkNQB43ADZinU4n/H4/CoUC73uhaRrsdjtHCyh8TCkhqvGgcUxjv6mpCe3t7Th06BCy2SwvuSUjqb29HQ8++CAsFgtCoRC6urpw4cIF3Xp/m82GtrY2BAIBDAwMcB0MKV+fzweHw4FoNMo1CiRDKBoRCoVw5MgRjtSVl5ejoaEBu3fvxujoKCwWC/bv3w+Hw4H333+f5w7NO9nQraqqQk9PDy83pblPbZWNTJoPtOyX0m7kkNTV1XFkgPpRThnJq4r8fr+uyJbOTeOfttq22WyIxWKwWCxcUEcFkbSyqLm5mccUpUvpuvJqqY1AKfo1pqGhAWNjY5xjD4fD6OjowMDAAD9kyuE0NDQgHo+zZfq1r30NBw8exN/8zd8gFouhtbUVf/qnf4rjx4/j0KFDujX5QOmtFmWlZ7fb0d7ejv7+fiQSCV2+Vz4PDXYK0ZJyolAgAFZKJJxpoDY0NHAuXoj55X179uzhwiaLxYKRkREOq8qhU7p+R0cHOjo6AIDTDnV1dbBYLLqCG/o7XXv37t1cLCT3SWVlJaxWK1paWjjMSJNXNlbIu6fcnhzeLRaLaGlpQSwWY4VCuWGHw4GhoSH2FuRJW1FRwZXytG6a+rhQKMDpdKK1tZXrMrq6unD48GHOB+/fvx8NDQ3weDwoFov42c9+hqtXr+L48eO6wkoA2L59O/bv3w8AvNSRxld9fT1CoRALvrm5OZ2Ceeyxx9DX1wez2YxEIsHKLpvNsmfjdrtx9epVztfX1taiuroa27Zt4xA65a/JSKHccFVVFfcjjUmK4lB6w7jMqbKyEjU1Nboairq6OpjNZmzbtg11dXWYnZ3ltAqlu6h/aewaQ/V2ux11dXX8PGVBToaj0+nE7t27ceHCBdxxxx0YHR3FqVOnOOUghEBVVRUefvhhdHd345VXXkEikQCARQY4/aPCTlkhUQSFjANamUERPjka53a7sW3bNjQ0NODChQsIBoNoaGjAc889xwaUnL+WxyKt2qHxQMdRoW8kEkFFRQUsFgueeeYZ7Nu3DzabDdFoFK+++ip/x+PxcKqmo6MDf/7nfw6n04k33ngDXq+XDSfKeXu9XszMzPC9btmyhaOGsuwxyi9j5EXOndN3ZQPN6NED4ChaIBDAxMSEruYhl8txAadcc0GFuW1tbSzfCGObqT7JbDZjx44dvL8/1S/Jhapk6LvdbvT09ODEiRM6RZ9IJBCLxVBTU4ONQCn6NYYq28krbGtrQ2VlJS5fvqyzTCnvFY/HsWfPHng8Huzbtw9CzFfNOp1O9Pb2oq2tDcePHwcAXq5CRXGdnZ04deqUbsLQQP3qV7+KbDaLY8eO4dKlS6iqqkIkEuHldQB0Aqm2thZXrlzR7dhH56M2yXtuA9eWnchLtgBwnq6jowNXr15lQ2LPnj344Q9/qMtXGamsrERLSwv27t2LsbExdHd3c4HinXfeic7OTpw/f549VWDx1p503qamJjz88MN46623+G/t7e1ckU3rqckCp3uje6fd4+rq6lhRUoEaFT5RLpMUWbFYZMVKwpuUNtU87Nq1S5cXpjXPFotFV6BD6Quq5CYhXllZie3bty/yCGTDbefOnYjH43A6nUgkEggGgxwep+c5NzeH++67D3/7t38LAKx8m5ubeYni7t27EY/H8a//9b/Gyy+/zON3ZGQELpeLx1I6nUZNTQ1mZ2dx8eJFzM7OsvCmNcNCCPT09OCP//iPEQgE8NJLL7EhRmORQrpyjpo+u+uuu3D69OlF4VR5LMnRH/pufX09tm7dikgkgosXL+o8OEpZUM3JF77wBYyOjuJ//I//wYV0NpsNVVVVuOeee/Dss89iYGAAZ86cgaZpuPfee7kPKisrOR1BBkY+n2dvTjbUaQvUmpoaeL1eHDt2TPcKVlrDTblkk8mEsbExfk4yyWQSly5dgslkwp49e/Dtb38b3/ve9zA1NbWoT2ip2c6dO7kPAoEA1xedOHGCxxW11WKxoLu7G8899xwXPm7duhXZbBbhcBi1tbXo7e1FPB4HMK/ExsfHkU6nub3yOSmNIXu3xnnc0dGh2w9EPo7abZRjVHNRU1ODqakpNkLonAcOHOC/pVIpVFdX86ogihyUlZVx9OI3v/kNjyF6ZrR8kFZ41NbW6oyiTCbDG3VVVVWxLqA2073MzMxgcnKSHZz1RlXdrzGysKXcGT1oqmSngUeTmSxDuZq+ra2NJyWdl0Kq5I3Sekz6XA5hejweBAIBPPbYY3j66afx3HPPobe3Fz6fjwuzqB133nknamtrcc8998BsNqOnp4f3QKfCEdrqku5N0zQuqiHPRrasqQ0PPfQQdu/ezREMaiMVKRpxOBzYuXMnLy+Srfze3l7dMjpCNjKMSl8O3Xd0dOjeAb1nzx7cc889eOSRR7hP6+vr2Qvv6upCRUUF2tvb+Zw2mw29vb1cwUz94vF4sH//ftx5551obGzkc1DFMf2bmZlBU1OTrqK5rq6OCw5L9Qd9V04tlNpGttTvpHB8Ph8KhYJurwD5WVJokwqL6LvkrcvKxWQy4dlnn+VCTKfTyR4kCX/y+Kkgzu12o7a2ljcj6erqwrPPPsvhYxKW5eXlXGPx+OOPc8SC2kwK0/jcfT4fGhoauFDSbDbjwIEDeOqpp9Dd3Y0vf/nLePTRR3WeIK1q2b59Ox555BF8+ctfxr333ot8Ps8V4wC4CFR+EyWFmv/oj/6IFc7+/fvxyCOPcKpBiPllilSVTzl++r7D4cDIyAjPf6oUDwQCaGtrQ2trK48T2l5bLj6jsVMsFrn+xuiV0pgl/H4/nnrqKZ4X8jiUxxCFuH0+H7Zt24YvfelLOHjwIIB5Q2/btm3Yu3cvt0e+xq5du9DQ0KALydOGNHfffTcee+wxbNmyhfuXzkErSGhZ5+OPP67bvXDPnj0AoIukGTFGveg+6GcyBA4cOMDLHEmBWywWDA0NweFw4N5770V7ezvXV9E5aczlcjm0trZyATClULq7u/HCCy/gT/7kT1BbW8vpWeqjqqoq3H333XjooYewdevWRe1fL5RHv8bICge4FiqmzU/8fj8uXLiATCaD5uZmDA8P87EkyKjwi4TBM888g/fff59DrCbT/Pres2fPYmJignfjMyo5gsK1pDypGlUuGgLAxSptbW3Y1M5vYAAAH3BJREFUuXMn+vv7uQK3oqKCw6Syx0tFTMC1yX7fffehp6eHFUEul8MHH3yAoaEhNDQ04OrVq0in00vuDGUymTA8PMwb48gGgbzmWD6+lEcPXBNkDQ0NePTRRzE4OIjp6WkEg0GOuFitVuzduxdXrlyByWTC5OQkAoEAPB4PampqsGXLlkVhQ2oHCX8ydqg6vLOzk3PZcm6YrmU2mzE2NsaV5lVVVYuErnx+QF9jIadojPct/y97P+FwmNspv7yF6iF8Ph8XJNK5SSka92Pfu3cv9uzZg8OHD8Nms+H5559HsVjEO++8AyEELly4gEuXLiEWi7EXaDTcurq6UFVVhVwux0Wo3d3dKBQKmJqa4rX8gH5rYnmJHp2Pct1yJMDlcuGBBx7AkSNHUFVVhXw+D5/Px54xKbKOjg5UVVWxV0vPmWpUfD4frw+X20LRNfJct27digceeAA//vGPcebMGb5PeWOdP/iDP8Dw8DDPmYmJCWSzWTzwwAO444478M4773AtA40PGlc0BmTuuusu9PX14cSJE6zsiYaGBrS2tqK1tVX3uby5j3HMyc+eNs4JBALYt28fz/vHH38cp0+fRiQS0Y1H4ktf+hIX7Mm7F3Z2dmLnzp3cNiNkZNrtduRyOWzdulWnDLu6utDV1cXtlo0MOeVBz7+5uZl30qRoA20AJBu49PPevXsxMDCAc+fOobGxkSNJJHcph091GdQOIeb3sdi7dy+KxSK6uro4UgVAZ5g2NTWhq6uLDeSNQin6NYYmNwkhKowB9EvqXC4Xh9Hr6uoQDodZgHz5y1/mIhjalOEv//Ivce7cObYmacObxx9/HB999BEuX75c0kOm65I129DQgFAoBIvFovM2AfDSIavVit7eXpw8eZIjBnv27MHw8DCSyaTOQv5P/+k/YW5ujjelAMDLBQk6/syZM9i5cycaGhrwh3/4h7rJIPPggw/ilVde0YVlaVKXUvSycKLvyH8DgC1btuDee+/F5cuX0dnZiba2Np78Qgjs3r0bJ06cwNjYGK/9B8CeLuXiqqurdV6hnMZ4/vnncejQIVy8eJELzO644w5s27YNkUgEk5OTXO1L1fnNzc0YHx9HY2NjyedHniEtAwSupSSMnpvx+7JXTuFqt9uNrq4utLe349ixY+jv70ckEuH3FNTW1qKmpoaXHFFthizIv/GNb/A9ZzIZfvbyWO/q6sK7777LRqLcfhKSbrcbn/vc5xAOh+FwOHD06FE4HA7e4U0O2cpFU/IcA8CpLNoqOJfL8d+2bt3KniDlmWlXN5PJhK9+9as8Dox9ScVnxjFFuyDSbpNyCFnOmcvfkQ1FAFzzcPz4cY6yAEBNTQ08Hg+eeuop/MM//AP3mZxjL/XMaVWNPAbq6+vx+OOPl7w3wjiGXC4Xtm7dimQyyYa/0+lES0sLH0PGw49//GMA4GV5RG1tLRcLyoaq8drGz2lzoIaGhusqQdpHgtr74Ycf8vMgw18ek7IMJgVvVPTd3d1obm7GT3/6U/T19emMhoqKCmSzWXR1deHhhx+G1+vFpUuX+L7tdjvq6+t5xZQcfZM3/yLDgNqyUShFv8bQQ6TirtbWVmzfvh3nzp3DzMwMe3XNzc2w2Wxobm7WKXpgXrhTWIu44447cMcdd6Cvrw9nzpzha9XV1S3aWKJUmzRNY8VeLBbR0NDA3ufhw4d5G00yUBobG9Hb28vV5jTY6e9yXs341j4jspL4zne+w9+j9bVG5OIdeZJqmn4XMdqC0+jNlxImjY2NAK5tsepwONgDouNLhTGpyIkKv6guYcuWLTh69KhO6cher1yER+kaClHLwuGpp55CXV0djh07VrLd27Ztw7PPPotXXnkFk5OTGBgYgNfrLbkOV+4z+X8SPFTVHQgEuA20U1hHRwei0Siqq6t5HfiXvvQlHD9+HIODg7pr0fPs7e3FuXPnUFVVxfsDEA0NDWhsbEQ0GkVHRwe6urpw6NAhjh7IxzU0NCCZTHLhXWtrKy8rpfoUk8mE1tZWtLW16QrwKFTt8/nYOCMjxQjVWDQ3N+PSpUuL/m7EWMlPVFZW4oknntAtV6X+lhU9zTX5nQDyGAsEAgCu5bALhQK2bduG5uZmVnRLGQzyPQFAc3Mz72UAzBtjpV4uRe0s1R7g2u6LdrsdVVVVnM4qxZYtW9Dd3c0b0chtcrlcSCaTi6J2S0WhgHmD7eDBg3jyySd1Y6QUJtP8UtvGxkYcPnyY35NBa9llw5CUPnDtmdISRDnVQamW7du3c70SFd/KinvHjh1ccCjLNlLoFosFO3fuxLlz53jbaGqzfLxS9LcxRmvNYrGgt7eXB1OxWERHRwcOHjwIm83Gy3eAlb0XWlZklDOi5VRkRRuhQV9TU4Oqqiou+iHvlMLkLpeLw5c2mw319fXQNI33zad7ksOnK0EWJvLgJiFfCmOhFV3zwoULfJ4HH3wQQ0NDXEhlPD/xjW98gxWbLHSNLxaiKAcAXf6QwsCkMGnXr127duHnP/8511/Q8QBY0BUKBXR0dEDTNF7nbjx2KS+HoEJITZvfNpUKBJcTmnJfyM/LaAzQPgG0AkFWaiSwqU+6u7uRTCb5eVI6qKysbFH6xOfzYevWrRgfH0ddXR0rAtnzW4pAIIDt27ezkqBn4PP5sGPHDhw7dgzAtZ3VOjo6sG3bNthsNgSDQXg8HuzcuRNTU1M6j5Lat2PHjhWNX1kBGPva5XJxeFru21LfkavD3W43GhsbeZ+De++9F/X19bhy5QqnACjaQOcWQnBOfTmPWFaOVDex0nuU74uKFB0OBx588EGdNy9D0UZgPoUwMDDAf3vuueeQSqUWKXqjIV5qyTAZ5cthMpl42+yuri789V//te689Hez2Yx77rkHV69eBXAt5L9r1y5s27YN7733HnK5nO5lWo2Njbhw4QJX1wPzkRb5fRNkUNH/wHxRJAB+b8c3vvENvPrqq7ron/xslaL/FCDnR+Xf5Tyrx+PhjTdWouTpPDRwGhoacODAAXR2diIYDC4Kk8nfKRaLOHjwIObm5hCLxfDFL34Rc3NzEELg6aef5nXcRkNFnoDG/1cKTfbVbPlIIS654IpWEQDgzUJaW1t1dQ6lkAXe1q1bcfHiRQDztQg0OYFr++p3dHTolIzdbkdXVxcmJyd1541Go4jFYry8SKa3t5c3namvr0cqleLlUcYwrCzUS0EFislkEg8++CDa2trQ0tLCioZYyqOXw5WVlZXYtWuXbryRUUNb527duhWffPIJ8vk8v9gEAO69995F19u3bx8rIePSpIqKCl5bLqc4ZCgqY/Qy5V3PZK/WmJZ55pln+KVFNpsNf/AHf4C33noLPT09+MIXvlCyf+hVpNfD6/VykSoVmMptJA+ulLKiF+c4HA7cfffdcLvdyOfz8Pv9XGBI4zafz6O+vh579+4FAH4pDXDt7XcHDhzAhQsXlozarQbamEtWUgR5sNXV1bz721LznfqwqqpqUSEpverViNFoMtaTrBRS5MA1Y0g+n7zKobGxkVdqWCwWTE9P47//9/+Oe+65B1arFX/0R3+Ehx9+mM/d3t6OP/uzP8OZM2fwyiuvIBaLYdeuXejr6+Nzb9++He3t7YvGM3CtBoLus7W1FQMDA+js7NSlK1cq89cCpejXmLvvvhtzc3MsvOhhyms3CRok6XR6VYqeCqr++I//GD09PTh27BiHo5f6Dl23q6sLPT096O7uxkcffQTg2oBLJpM8+eX2yApjtRMSmLd6v/Wtb61KSBkVvRACH3zwAQDgiSee0ClW+TWe12vbgw8+iPvuuw9msxkff/wxv/mMrknnkJVMZWUlvvKVr+Dy5cu6N7p99NFHvDUvKTv6Hu1xnclkAMwrU9qn3OjVrsSyd7vdvBnPUjm+UgoeuPYsaaXE3r17Ybfb8cgjjyCRSPCGTR6PB4899hgmJiYAAO+++y57dqUgj5+ehVGAywYNtcl479u3b8fp06cX5Y1py2AqlpTD6PJxtIxpYmICNpuNV1aU6tNStRtLQe86b2lpwVe/+lWcOnVK9xISWdEbI0MvvPACpqenkUqlsHPnTnR2dnKBaak20Fruffv26fpP7juq7VhNJG0pysvL8dxzz5X8m8ViwXPPPYfGxsZFxX1GyBimflgJxjSIzGoVvTxHSUYY01WlojHV1dUIh8N4/fXXebWGMVUgR2dMpvltpfv6+ji6BCwdnZLlCDCffstms7jvvvtwxx134Pe//z23caNQin6Nefjhh3HgwAG88cYbGB8f50FG+2HLg44GCu2vvRKEENiyZQtmZ2exa9cuAPOe8v79+5cM1cmTgnY3kwcp5Qrp7/Qd+ZoAcP/99+PixYu6atuVslpPRE5n0AQmL8foPdfU1PDe8CtRmqWUBqD3NguFgm4ZIi3zoe9ks1nd64dLWfaAXvmS12M2m3HHHXdwSHQlAo7anEgkOEVD4XCqkVhK8W/ZsgUfffSRrgaDPifImwSuPSsqkpOXJMoYIwhGJSa/yMZodBB33XUXOjs78fOf/xwdHR04cOAAv+rzxIkTHBVYyqOXr09jeqkxIH++3Hj81re+hcuXL3PkRwiBz33uc7pjSNEnk0k2/uTnSJtI1dXV4a677tLVGhjbLxfjGdsqbzRFv683tHvf9YxnGs9yOux6LOco+P1+3HfffSs+j+zRU3/RnKL6InpJF1EsFtHZ2QmbzYbt27fDbDbzSgAjS+XTl1LQTz31lC7KRt+hlAzVPTz00EO6vQU2AqXo1wGqVAauDYqdO3cinU7zhAfmw88jIyOcH18JQgguxiKo2GQpC9M4Keg78t+bmpowMjJSUgnSxOzs7ERnZydee+21dX+PMgka4+5pX/va1xYZNELM73tuLGBcyTXo+4B+Ys/NzeHQoUMArnkHwDUF8YMf/EB3jqUq4OV+lJXVHXfcsejY5YynyspKmEwmPProo7yblt1ux9e+9jXdUjkj3/72t3HkyBH88Ic/RFlZGdrb269b6ET3uGfPHg4zl8I4Voyhe+pPKpqTjyWEEFwtTS9NoVzv0aNH+TgyRpcTuNfL/6/UozcWaJXqV7rWv/zLv5Q8v9PpxM6dO/H4449zESugV4p0vPG9CTLyWvTa2lpeQSBTX1+PfD7PW8/eLCv1rH0+HzweD+65557rHvvkk0/qtiMmZIPrc5/7HC+fux6lQvcmk4nH7LFjx1jpmkwmdHV1YWpqCrFYDIVCAXfeeSe6u7uXvYa8mY0x4lQKetW33EYAHNWjJbEbuX6eUIp+nZBDSACwe/du3vuetqYsLy/noi05V7wcpAy2bdvGn13PMjSGouV2ESSUS21IIysth8OxZNhvLZFf+epyudg6L7WpjLG9K8UodKgP6GVDBG2129jYuGS/UXjbqKzlvluqCOd6OXpg/v6qqqoW7aQl94fsgX3hC1/glRzyqoxt27ZdV5AHAgE888wzunXlpVjOo5eVOxliDQ0NK9rys6OjQxdtWO4a8t+WiqoQPp8P7e3tSKfTOHjwIOrq6gCA93wwspxHS14hvasinU7r1tob21hK0S/n0RtD90II/OEf/mHJ+3rqqacAAN///vfXRIlcr8iTMJvN+OpXv7qiczY2NpYssnv44YfR399f8rrXa2OpHL1xCRsdS5GC733vewBWFmGUDfyamhrU1taitbV1VWlWAFzMvJJC1PVCKfp1wiiYfD4fent7cfr0ad3Afu655/DSSy+t+LxU+Vlq0CwXsjQq+qWEJE2A2tpabN26FZqmcehpI0NNFLKksPmTTz65bDXujSj6pUL3Xq9XZ5m73W7E43G0t7cvKshra2uDw+FYpJgIWeBcL7e+ltTV1bEiI2Mgl8utOHJ0PSUPLB5DMrInTJ7W6OjokmFSeqmQ/P1SyMu4jLnQ6wlSs9mMRx99dNHnBw4cWPTZ9dpit9uxffv2Za8HLK/oZY9+qfXmNA9Wwr/6V/9qRcddD2OEaT3GJ7F79244nU7eRnqllFL0pQqHAb1soP6/nlFY6nrkXK10oxt6fwQ5cWtRSHmjKEW/TtTX12NqaoqFLXBtwMnV1g6HA1/60pdWXNBCYSBZ4NF5jTtgEcuF7pdS9C6XCw899BAAcCh1IxU9VbJv27YNLS0tS67lJW6kbcYcr3Hyf/3rX190/u7ubtx555347W9/CwC8vaecj5bPKf9/PY9+rTAK5o6ODjQ3N0PTNDzyyCNrdp1Sir62thZTU1Ps3fb09OCLX/wiHA4HvvzlLy95rieeeGJF15SFrFzoCuh3fFsLVpJSuR7UR+3t7Th37pwuorGcR09bsra1ta2roi3FjRqitExzNdB7LFKp1E1V3S/X5lLza6WKfseOHYuM+5Ws2ADmn++TTz6J9957T7eV72agFP060dPTg56eHt1ncvWz/PtS699LQbtVGV9UUSp3TZQK3V9P0cv4/X7eNGejqKioQCwWQ09Pz4rCvTfSto6ODuTzed0rP4FrfSJ7v5RfC4VCJZfILHX9lSj6tVAowLVnZ1z3bDKZ2DBcy203Syl6ObxMRZOllnHdKKXWxT/wwAO6venXAqoRuVEj7P7778fo6Cjfe319PV544YVF1yBKpZEOHDhQ8p0G682NKqQbTemVinZcD1nRL/dmTDrWyEq9656eHt6g6UYIBAJ4+umnb/j7a4VS9BsIDThSXDcygZfae3yp3DVdZ6ktZI2KvtQkf+6553R5sI3gwQcfRDgcXlRhvxQWiwU9PT2rEvYul0tXbW70ymWsViu+/OUv4+2339ZZ+MaCNCqSlBUSKYylQvdrJchtNtuSxYoA+C19a8VyoXtgvi+mp6c5CrUWOJ1OVFVVIRgM8vMym83XLTBcLW1tbWhra9O9oW81bN++/bqh/VJ1MMbf5aWJG8VGXk82ppbaya8UJpNJZxhQ2N746lo61shqQ/fA/P4Gq1lKeCuhFP0G8/zzzyOTyeDYsWMr2gHKCK21XSonXAohBEKhEN566y3epnSp/HQpobaRnjxhs9lWrOSBeUUfCASWTF+sBFLOS90vvXxGrm42Hrt//35+pwAhxLXXrQJLK/obET5GljL46H3j66Hol+LgwYOw2+288cpa4PV60dnZiYaGhiVfirQWmEwmdHZ2YnJyck3WrpfCuEpBhhQVbdm8kchL++S2rAc0N4DVr8c3evT0M51XPtbIjeTLKZV5O6IU/QZDLzu50UHjdDpXvNaUaGxsRDwex+joKBfWGT3RqqoqeL3eJbe7vNWx2Wx45plnbsqz27JlCxwOB1599dUlj6mtrcXZs2f591J1F0Zjw2QyLavoGxsbsW/fviXXq68FKy3CWw3XWy1Ar/tcS2gb3PPnzy+Kaq0X66XoS60gIGRFv1k5+uWifGsJzaHVePTGuiOjR9/U1ISJiQneN4Q4ePAgJicnV20kbmZ+fS1Qiv4zQG9vL3p7ezE6OorXXnsNwGLBUl1djT/5kz/ZjOatGSupFF8Os3n+1ZbLWftbtmxBW1sbTp8+jcOHD/Na4uWUtLwfALC47202my6FsB48+OCDa37OtaotWC333Xcf7rnnnnWvYl7v+1suR389j3Q9kZeUJRIJ3vVxLdmxYwf8fr8udH+jHr2cVqTPKisr8eSTT5a87mr2ANnosb1eKEX/GWI1S/IUS2Myzb85izZx2bt377JpmOuF7lfKzSg2ed+FtYJqATbyvdrERixV8vv9vLXuenCrKnra6a+2thb333//mqSUjBw8eBDAvHKvrKzE8PDwqhRwqap72ctfK9ra2nD27Fn09vau6Xk3GqXoP0PIwpF+Xk0eXHGNmpoaPPfcc3jxxReve6xxje+NCO4//dM/veXCh9u2bUNVVRXvbPdp48CBA2hubr7pSNFy3HXXXfjkk08WVZwvZwSsNxTq7uzsXBclLyPE/Jsf7777bt1W3NfDuDcIza+1VvR2ux3PPvvsmp5zM1CK/jOE7JnY7XY8/fTTn1ohfTM89thja+pFUUjyZjz6zdxVaymEEKsSzrcbFovlpoo7VwLVTsgvSzKy0Yq+vLx80VLA9eJG781kmn/rH70XwZijV+hRiv4zhGydCyGUN78E8lvK1gISPiTU19tLUtw+0JgwLkFcrlBPMW+EJZNJ/PCHPwSweKWAQo9S9J8hjIpesbH8xV/8BTKZjFL0Cqa8vBwWiwWdnZ26zzczR7+R3Kgc2r17N8rLy1EoFHDo0CEu6lMefWmUov8MsZl5v08re/fuXfGWmGu5c5vi04HL5cK3vvWtRZ+XekfCpxG6t5XOIcLj8fDb52pqajA9PY3Z2dmSb/dTKEX/meXTLDw2EtrA6HqsVpApPtt8Vjx6APjmN795U/dYXV2t0pDXQSn6zxgdHR1IJBKbstvdZ5Wvf/3rm/rmKsXtx2fFoweUEbwRKOnzGePhhx/e7CZ85liPXekUn24+Sx69Yv3Z1BEkhPjfhRCaEKLkQlUhREEIcXLh3ysb3T6FQqHYDOSIm4q+KW6WTfPohRBNAB4HMLzMYSlN03o3pkUKhUJxa+BwOPDII48gmUzetu+fUNw6bGbo/r8A+D8AvLyJbVAoFIpbktW8oVKhWI5NCd0LIb4IYEzTtFPXOdQhhDgqhPhYCPH0dc75wsKxR4PB4Jq1VaFQKBSK25l18+iFEG8AqC3xp38P4N9hPmx/PVo0TRsTQrQDeEsIcUbTtMulDtQ07UUALwLAvn37Ph2vHFIoFAqF4iZZN0WvadqjpT4XQuwE0Abg1EJlaSOA40KIOzVNmzScY2zh/ytCiHcA7AFQUtErFAqFQqFYzIaH7jVNO6NpWrWmaa2aprUCGAWw16jkhRDlQgj7ws+VAA4COLfR7VUoFAqF4nbmllqgKYTYJ4T4x4VfuwAcFUKcAvA2gP9L0zSl6BUKhUKhWAWbvmHOgldPPx8F8GcLP38EYOcmNUuhUCgUik8Ft5RHr1AoFAqFYm1Ril6hUCgUik8xQtM+fSvRhBBBAENreMpKADNreL7PIqoPbx7Vh2uD6sebR/XhzbPWfdiiaVpVqT98KhX9WiOEOKpp2sreR6ooierDm0f14dqg+vHmUX1482xkH6rQvUKhUCgUn2KUolcoFAqF4lOMUvQr48XNbsCnANWHN4/qw7VB9ePNo/rw5tmwPlQ5eoVCoVAoPsUoj16hUCgUik8xStEvgxDic0KIfiHEgBDiO5vdnlsVIUSTEOJtIcQ5IcRZIcT/uvB5QAjxeyHEpYX/yxc+F0KIv1vo19NCiL2bewe3DkIIsxDihBDi1YXf24QQnyz01c+EELaFz+0Lvw8s/L11Uxt+CyGEKBNC/EIIcUEIcV4IcY8ai6tDCPG/LczlPiHET4QQDjUWr48Q4p+EENNCiD7ps1WPPSHE8wvHXxJCPH+z7VKKfgmEEGYA/38AnwfQDeBPhBDdm9uqW5Y8gP9d07RuAHcD+H8s9NV3ALypadpWAG8u/A7M9+nWhX8vAPj7jW/yLcv/CuC89Pv/G8B/0TStA8AcgG8vfP5tAHMLn/+XheMU8/z/APxW07TtAHZjvj/VWFwhQogGAP8LgH2apvUAMAP4Y6ixuBJ+AOBzhs9WNfaEEAEA/wHAXQDuBPAfyDi4UZSiX5o7AQxomnZF07QsgJ8C+OImt+mWRNO0CU3Tji/8HMO8YG3AfH/988Jh/wzg6YWfvwjgJW2ejwGUCSHqNrbVtx5CiEYAfwDgHxd+FwAeBvCLhUOMfUh9+wsAjywc/5lGCOEHcD+A7wGApmlZTdPCUGNxtVgAOIUQFgAuABNQY/G6aJr2HoCQ4ePVjr0nAPxe07SQpmlzAH6PxcbDqlCKfmkaAIxIv48ufKZYhoWw3R4AnwCo0TRtYuFPkwBqFn5WfVua/y+A/wNAceH3CgBhTdPyC7/L/cR9uPD3yMLxn3XaAAQBfH8hBfKPQgg31FhcMZqmjQH4WwDDmFfwEQDHoMbijbLasbfmY1IpesWaIYTwAPglgL/UNC0q/02bX96hlngsgRDiKQDTmqYd2+y23OZYAOwF8Peapu0BkMC1UCkANRavx0KY+IuYN5rqAbhxkx6lYp7NGntK0S/NGIAm6ffGhc8UJRBCWDGv5H+kadqvFj6eojDowv/TC5+rvl3MQQB/KIQYxHya6GHM55rLFsKngL6fuA8X/u4HMLuRDb5FGQUwqmnaJwu//wLzil+NxZXzKICrmqYFNU3LAfgV5senGos3xmrH3pqPSaXol+YIgK0LlaY2zBejvLLJbbolWcjHfQ/AeU3T/j/Sn14BQBWjzwN4Wfr8mwtVp3cDiEihrc8kmqb9n5qmNWqa1or5sfaWpmlfA/A2gOcWDjP2IfXtcwvHf+a9VE3TJgGMCCE6Fz56BMA5qLG4GoYB3C2EcC3MbepDNRZvjNWOvdcBPC6EKF+Irjy+8NmNo2ma+rfEPwBPArgI4DKAf7/Z7blV/wG4F/PhqNMATi78exLzebo3AVwC8AaAwMLxAvMrGi4DOIP56t5Nv49b5R+ABwG8uvBzO4DDAAYA/ByAfeFzx8LvAwt/b9/sdt8q/wD0Aji6MB7/B4ByNRZX3Yf/TwAXAPQB+CEAuxqLK+q3n2C+riGH+ejSt29k7AH41kJ/DgD4VzfbLrUznkKhUCgUn2JU6F6hUCgUik8xStErFAqFQvEpRil6hUKhUCg+xShFr1AoFArFpxil6BUKhUKh+BSjFL1CoVAoFJ9ilKJXKBQKheJTjFL0CoVCoVB8ivm/AWsKYSvrHVz2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(8, 9))\n",
    "axes[0].plot(sampler.chain[:, :, 0].T, color=\"k\", alpha=0.4)\n",
    "axes[0].yaxis.set_major_locator(MaxNLocator(5))\n",
    "axes[0].axhline(m_ml, color=\"#888888\", lw=2)\n",
    "axes[0].set_ylabel(\"$m_{m0}$\")\n",
    "\n",
    "axes[1].plot(sampler.chain[:, :, 1].T, color=\"k\", alpha=0.4)\n",
    "axes[1].yaxis.set_major_locator(MaxNLocator(5))\n",
    "axes[1].axhline(c_ml, color=\"#888888\", lw=2)\n",
    "axes[1].set_ylabel(\"$c$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "burnin = 100\n",
    "samples = sampler.chain[:, burnin:, :].reshape((-1, ndim))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396x396 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "corner.corner(samples, labels=[\"$m$\", \"$c$\"], quantiles=(0.05,0.5,0.95),levels=(0.6,0.9),show_titles=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def chi_square1(theta):\n",
    "    A,B,C = theta\n",
    "    yi = y_data\n",
    "    y_th = A*x_data**2+B*x_data+C\n",
    "    return np.sum((yi-y_th)**2/(err**2))\n",
    "\n",
    "def log_likelihood1(theta):\n",
    "    return -0.5*chi_square1(theta)\n",
    "\n",
    "def log_prior1(theta):\n",
    "    A,B,C = theta\n",
    "    if -10 <= A <= 10 and -10 <= B <= 10 and -10 <= C <= 10:\n",
    "        return 0\n",
    "    else:\n",
    "        return -np.inf\n",
    "    \n",
    "def log_posterior1(theta):\n",
    "    return log_likelihood1(theta) + log_prior1(theta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum likelihood result:\n",
      "    A = 0.8637024180548937 (truth: 0.0)\n",
      "    B = -2.8490345538672326 (truth: 0.0)\n",
      "    C = 3.9400521392638637 (truth: 0.0)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "result1 = optimize.minimize(chi_square1, [0, 0, 0])\n",
    "A_ml,B_ml,C_ml = result1['x']\n",
    "print(\"\"\"Maximum likelihood result:\n",
    "    A = {0} (truth: {1})\n",
    "    B = {2} (truth: {3})\n",
    "    C = {4} (truth: {5})\n",
    "\"\"\".format(A_ml, 0., B_ml, 0., C_ml, 0.))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running MCMC...\n",
      "Done.\n"
     ]
    }
   ],
   "source": [
    "ndim1, nwalkers1 = 3, 1000\n",
    "sampler1 = emcee.EnsembleSampler(nwalkers1, ndim1, log_posterior1)\n",
    "pos1 = [result1['x']  + 1e-4*np.random.randn(ndim1) for i in range(nwalkers1)]\n",
    "print(\"Running MCMC...\")\n",
    "sampler1.run_mcmc(pos1,1000)\n",
    "print(\"Done.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x648 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "fig, axes = plt.subplots(3, 1, sharex=True, figsize=(8, 9))\n",
    "axes[0].plot(sampler1.chain[:, :, 0].T, color=\"k\", alpha=0.4)\n",
    "axes[0].yaxis.set_major_locator(MaxNLocator(5))\n",
    "axes[0].axhline(A_ml, color=\"#888888\", lw=2)\n",
    "axes[0].set_ylabel(\"$A_{m0}$\")\n",
    "\n",
    "axes[1].plot(sampler1.chain[:, :, 1].T, color=\"k\", alpha=0.4)\n",
    "axes[1].yaxis.set_major_locator(MaxNLocator(5))\n",
    "axes[1].axhline(B_ml, color=\"#888888\", lw=2)\n",
    "axes[1].set_ylabel(\"$B$\")\n",
    "\n",
    "axes[2].plot(sampler1.chain[:, :, 2].T, color=\"k\", alpha=0.4)\n",
    "axes[2].yaxis.set_major_locator(MaxNLocator(5))\n",
    "axes[2].axhline(C_ml, color=\"#888888\", lw=2)\n",
    "axes[2].set_ylabel(\"$C$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "burnin = 200\n",
    "samples1 = sampler1.chain[:, burnin:, :].reshape((-1, ndim1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 547.2x547.2 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "corner.corner(samples1, labels=[\"$A$\", \"$B$\", \"$C$\"], quantiles=(0.05,0.5,0.95),bins=50,\n",
    "              levels=(0.68,0.95),show_titles=True,truths=[A_true,B_true,C_true])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "def prior_transform(cube):\n",
    "    cube[0] = -10 + cube[0]*20\n",
    "    cube[1] = -10 + cube[1]*20\n",
    "    cube[2] = -10 + cube[2]*20\n",
    "    return cube"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "10254it [00:07, 1391.54it/s, +1000 | bound: 9 | nc: 1 | ncall: 49192 | eff(%): 22.878 | loglstar:   -inf < -16.138 <    inf | logz: -26.150 +/-  0.134 | dlogz:  0.001 >  1.009]  \n"
     ]
    }
   ],
   "source": [
    "f2=dynesty.NestedSampler(log_likelihood, prior_transform, 2, nlive=1000)\n",
    "f2.run_nested()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "13689it [00:10, 1253.38it/s, +1000 | bound: 15 | nc: 1 | ncall: 57930 | eff(%): 25.356 | loglstar:   -inf < -4.387 <    inf | logz: -17.962 +/-  0.168 | dlogz:  0.001 >  1.009]   \n"
     ]
    }
   ],
   "source": [
    "f2=dynesty.NestedSampler(log_likelihood1, prior_transform, 3, nlive=1000)\n",
    "f2.run_nested()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "A_mean,B_mean,C_mean = np.mean(samples1[:,0]),np.mean(samples1[:,1]),np.mean(samples1[:,2])\n",
    "m_mean,c_mean = np.mean(samples[:,0]),np.mean(samples[:,1])\n",
    "xx = np.linspace(0,5,100)\n",
    "plt.clf()\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.errorbar(x_data,y_data,err,ls='None')\n",
    "plt.plot(x_data,y_data,'.')\n",
    "plt.plot(xx,A_true*xx**2+B_true*xx+C_true,label='\"True curve\"')\n",
    "plt.plot(xx,A_mean*xx**2+B_mean*xx+C_mean,'--',label='recovered by quadratic model')\n",
    "plt.plot(xx,m_mean*xx+c_mean,'--',label='recovered by linear model')\n",
    "plt.legend(loc=9, bbox_to_anchor=(1.3,0.5),fontsize=18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mDocstring:\u001b[0m\n",
       "seed(seed=None)\n",
       "\n",
       "Seed the generator.\n",
       "\n",
       "This method is called when `RandomState` is initialized. It can be\n",
       "called again to re-seed the generator. For details, see `RandomState`.\n",
       "\n",
       "Parameters\n",
       "----------\n",
       "seed : int or array_like, optional\n",
       "    Seed for `RandomState`.\n",
       "    Must be convertible to 32 bit unsigned integers.\n",
       "\n",
       "See Also\n",
       "--------\n",
       "RandomState\n",
       "\u001b[0;31mType:\u001b[0m      builtin_function_or_method\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}