estimator-of-log-odds-ratio-is-normally-distributed.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1594ed0c",
   "metadata": {},
   "source": [
    "## Joint distribution of two random variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "62be1a97",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.2, 0.3],\n",
       "       [0.1, 0.4]])"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np \n",
    "\n",
    "# joint distribution over two binary variables\n",
    "\n",
    "# sample from a dirichlet distribution\n",
    "# ps = np.random.dirichlet((3, 5, 3, 1))\n",
    "\n",
    "# just hand-pick a set of 4 probs that sum to 1: \n",
    "ps = np.array([0.2, 0.3, 0.1, 0.4])\n",
    "\n",
    "p_table = ps.reshape(2,2)\n",
    "p_table"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b73d342",
   "metadata": {},
   "source": [
    "## Odds ratio quantifies the association between the random variables \n",
    "\n",
    "https://en.wikipedia.org/wiki/Odds_ratio"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccb58c64",
   "metadata": {},
   "source": [
    "## The estimator of the log odds ratio is normally distributed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0d89fb05",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total counts: 10\n"
     ]
    },
    {
     "data": {
      "image/png": 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ADYQpAAAAGwhTAAAANhCmAAAAbCBMAQAA2ECYAgAAsIEwBQAAYANhCgAAwAbCFAAAgA3lClPNmjXTiRMnipWfPn1azZo1s90pAACA6qJcYero0aO6cuVKsfL8/Hx99913tjsFAABQXdQuS+PPPvvM+vnLL7+Uj4+PtX7lyhWtW7dOoaGhFdY5AACAqq5MYapfv36SJIfDobi4OKe6OnXqKDQ0VH/9618rrHMAAABVXZnCVGFhoSSpadOm2rFjhxo1anRTOgUAAFBdlClMFUlPT6/ofgAAAFRL5QpTkrRu3TqtW7dOx48ft+5YFZk7d67tjgEAAFQH5QpTkydP1pQpU3TPPfcoICBADoejovsFAABQLZQrTL3zzjuaP3++Bg8eXNH9AQAAqFbK9TlTly5d0n333Wf74PHx8erTp48CAwPlcDi0fPlyp3pjjCZMmKCAgAB5eHioe/fuOnz4sFObkydPatCgQfL29lb9+vU1ZMgQ5eXlObXZs2ePOnbsKHd3dwUFBWnGjBm2+w4AACCVM0w99dRTWrRoke2Dnzt3Tm3atNGcOXNKrJ8xY4befPNNvfPOO9q+fbvq1q2r2NhYXbx40WozaNAg7du3T2vWrNGKFSsUHx+vYcOGWfW5ubmKiYlRSEiIEhMTNXPmTE2aNEnvvvuu7f4DAACU622+ixcv6t1339XatWsVGRmpOnXqONXPmjXrhvbTq1cv9erVq8Q6Y4xef/11vfzyy+rbt68k6f3335efn5+WL1+u/v3768CBA1q1apV27Nihe+65R5L01ltv6cEHH9Rrr72mwMBALVy4UJcuXdLcuXPl6uqq1q1bKzk5WbNmzXIKXQAAAOVRrjtTe/bsUdu2beXi4qKUlBTt2rXLWpKTkyukY+np6crKylL37t2tMh8fH0VFRSkhIUGSlJCQoPr161tBSpK6d+8uFxcXbd++3WrTqVMnubq6Wm1iY2OVmpqqU6dOlXjs/Px85ebmOi0AAAAlKdedqQ0bNlR0P4rJysqSJPn5+TmV+/n5WXVZWVlq0qSJU33t2rXl6+vr1KZp06bF9lFU16BBg2LHnjZtmiZPnlwxAwEAALe1ct2Zut2NHz9eZ86csZZjx45VdpcAAEAVVa47U127dr3mZ0utX7++3B0q4u/vL0nKzs5WQECAVZ6dna22bdtabY4fP+60XUFBgU6ePGlt7+/vr+zsbKc2RetFba7m5uYmNzc322MAAAC3v3LdmWrbtq3atGljLeHh4bp06ZKSkpIUERFRIR1r2rSp/P39tW7dOqssNzdX27dvV3R0tCQpOjpap0+fVmJiotVm/fr1KiwsVFRUlNUmPj5ely9fttqsWbNGYWFhJb7FBwAAUBblujM1e/bsEssnTZpU7DOeriUvL09Hjhyx1tPT05WcnCxfX18FBwfr+eef15/+9Cfdeeedatq0qV555RUFBgaqX79+kqRWrVqpZ8+eGjp0qN555x1dvnxZI0eOVP/+/RUYGChJGjhwoCZPnqwhQ4Zo3LhxSklJ0RtvvFHqGAAAAMqi3N/NV5LHHntMHTp00GuvvXZD7Xfu3KmuXbta62PGjJEkxcXFaf78+XrxxRd17tw5DRs2TKdPn9YDDzygVatWyd3d3dpm4cKFGjlypLp16yYXFxc99NBDevPNN616Hx8frV69WiNGjFD79u3VqFEjTZgwgY9FAAAAFaJCw1RCQoJT0LmeLl26yBhTar3D4dCUKVM0ZcqUUtv4+vpe9wNEIyMjtXnz5hvuFwAAwI0qV5j6zW9+47RujFFmZqZ27typV155pUI6BgAAUB2UK0z5+Pg4rbu4uCgsLExTpkxRTExMhXQMAACgOihXmJo3b15F9wMAAKBasjVnKjExUQcOHJAktW7dWu3atauQTgEAAFQX5QpTx48fV//+/bVx40bVr19fknT69Gl17dpVixcvVuPGjSuyjwAAAFVWuT60c9SoUTp79qz27dunkydP6uTJk0pJSVFubq6effbZiu4jAABAlVWuO1OrVq3S2rVr1apVK6ssPDxcc+bMYQI6AACoUcp1Z6qwsFB16tQpVl6nTh0VFhba7hQAAEB1Ua4w9ctf/lLPPfecvv/+e6vsu+++0+jRo9WtW7cK6xwAAEBVV64w9fbbbys3N1ehoaFq3ry5mjdvrqZNmyo3N1dvvfVWRfcRAACgyirXnKmgoCAlJSVp7dq1OnjwoKQfv3S4e/fuFdo5AACAqq5Md6bWr1+v8PBw5ebmyuFwqEePHho1apRGjRqle++9V61bt+Y78AAAQI1SpjD1+uuva+jQofL29i5W5+Pjo+HDh2vWrFkV1jkAAICqrkxhavfu3erZs2ep9TExMUpMTLTdKQAAgOqiTGEqOzu7xI9EKFK7dm398MMPtjsFAABQXZQpTP3sZz9TSkpKqfV79uxRQECA7U4BAABUF2UKUw8++KBeeeUVXbx4sVjdhQsXNHHiRP3qV7+qsM4BAABUdWX6aISXX35Zy5YtU4sWLTRy5EiFhYVJkg4ePKg5c+boypUreumll25KRwEAAKqiMoUpPz8/bd26Vc8884zGjx8vY4wkyeFwKDY2VnPmzJGfn99N6SgAAEBVVOYP7QwJCdHKlSt16tQpHTlyRMYY3XnnnWrQoMHN6B8AAECVVq5PQJekBg0a6N57763IvgAAAFQ75fpuPgAAAPyIMAUAAGADYQoAAMAGwhQAAIANhCkAAAAbCFMAAAA2lPujEQAAqOoyMjKUk5NjrTdq1EjBwcGV2CPcjghTAIDbUkZGhlq2bKULF85bZR4enjp48ACBChWKMAUAuC3l5OTowoXzivrdRHkHhCo386i2z52snJwcwhQqFGEKAHBb8w4IlW9wWGV3A7cxJqADAADYQJgCAACwgTAFAABgA2EKAADABsIUAACADYQpAAAAG6p8mAoNDZXD4Si2jBgxQpLUpUuXYnVPP/200z4yMjLUu3dveXp6qkmTJho7dqwKCgoqYzgAAOA2U+U/Z2rHjh26cuWKtZ6SkqIePXro4YcftsqGDh2qKVOmWOuenp7Wz1euXFHv3r3l7++vrVu3KjMzU48//rjq1KmjV1999dYMAgAA3LaqfJhq3Lix0/r06dPVvHlzde7c2Srz9PSUv79/iduvXr1a+/fv19q1a+Xn56e2bdtq6tSpGjdunCZNmiRXV9di2+Tn5ys/P99az83NraDRAACA202Vf5vvpy5duqR//etf+t3vfieHw2GVL1y4UI0aNdJdd92l8ePH6/z5//sepoSEBEVERMjPz88qi42NVW5urvbt21ficaZNmyYfHx9rCQoKunmDAgAA1VqVvzP1U8uXL9fp06f1xBNPWGUDBw5USEiIAgMDtWfPHo0bN06pqalatmyZJCkrK8spSEmy1rOysko8zvjx4zVmzBhrPTc3l0AFAABKVK3C1HvvvadevXopMDDQKhs2bJj1c0REhAICAtStWzelpaWpefPm5TqOm5ub3NzcbPcXAADc/qrN23zffvut1q5dq6eeeuqa7aKioiRJR44ckST5+/srOzvbqU3RemnzrAAAAG5UtQlT8+bNU5MmTdS7d+9rtktOTpYkBQQESJKio6O1d+9eHT9+3GqzZs0aeXt7Kzw8/Kb1FwAA1AzV4m2+wsJCzZs3T3Fxcapd+/+6nJaWpkWLFunBBx9Uw4YNtWfPHo0ePVqdOnVSZGSkJCkmJkbh4eEaPHiwZsyYoaysLL388ssaMWIEb+UBAADbqkWYWrt2rTIyMvS73/3OqdzV1VVr167V66+/rnPnzikoKEgPPfSQXn75ZatNrVq1tGLFCj3zzDOKjo5W3bp1FRcX5/S5VAAAAOVVLcJUTEyMjDHFyoOCgrRp06brbh8SEqKVK1fejK4BAIAarlqEKQAAqrqMjAzl5ORY640aNVJwcHAl9gi3CmEKAACbMjIy1LJlK1248H8fGu3h4amDBw8QqGoAwhQAADbl5OTowoXzivrdRHkHhCo386i2z52snJwcwlQNQJgCAKCCeAeEyjc4rLK7gVus2nzOFAAAQFVEmAIAALCBMAUAAGADYQoAAMAGwhQAAIANhCkAAAAbCFMAAAA2EKYAAABsIEwBAADYQJgCAACwgTAFAABgA2EKAADABsIUAACADYQpAAAAGwhTAAAANhCmAAAAbCBMAQAA2ECYAgAAsIEwBQAAYANhCgAAwAbCFAAAgA2EKQAAABsIUwAAADYQpgAAAGwgTAEAANhAmAIAALCBMAUAAGADYQoAAMAGwhQAAIANhCkAAAAbCFMAAAA2EKYAAABsqNJhatKkSXI4HE5Ly5YtrfqLFy9qxIgRatiwoerVq6eHHnpI2dnZTvvIyMhQ79695enpqSZNmmjs2LEqKCi41UMBAAC3qdqV3YHrad26tdauXWut1679f10ePXq0Pv/8c3300Ufy8fHRyJEj9Zvf/EZbtmyRJF25ckW9e/eWv7+/tm7dqszMTD3++OOqU6eOXn311Vs+FgAAcPup8mGqdu3a8vf3L1Z+5swZvffee1q0aJF++ctfSpLmzZunVq1aadu2bfrFL36h1atXa//+/Vq7dq38/PzUtm1bTZ06VePGjdOkSZPk6up6q4cDAABuM1X6bT5JOnz4sAIDA9WsWTMNGjRIGRkZkqTExERdvnxZ3bt3t9q2bNlSwcHBSkhIkCQlJCQoIiJCfn5+VpvY2Fjl5uZq3759pR4zPz9fubm5TgsA1GQZGRlKSkpSUlKS9TwM4EdV+s5UVFSU5s+fr7CwMGVmZmry5Mnq2LGjUlJSlJWVJVdXV9WvX99pGz8/P2VlZUmSsrKynIJUUX1RXWmmTZumyZMnV+xgAKCaysjIUMuWrXThwnlJkoeHpw4ePKDg4OBK7hlQNVTpMNWrVy/r58jISEVFRSkkJEQffvihPDw8btpxx48frzFjxljrubm5CgoKumnHA4CqLCcnRxcunFfU7yZKkrbPnaycnBzCFPD/Vfm3+X6qfv36atGihY4cOSJ/f39dunRJp0+fdmqTnZ1tzbHy9/cv9td9ReslzcMq4ubmJm9vb6cFAGo674BQeQeEVnY3gCqnWoWpvLw8paWlKSAgQO3bt1edOnW0bt06qz41NVUZGRmKjo6WJEVHR2vv3r06fvy41WbNmjXy9vZWeHj4Le8/AACS8xw05qFVf1X6bb4//OEP6tOnj0JCQvT9999r4sSJqlWrlgYMGCAfHx8NGTJEY8aMka+vr7y9vTVq1ChFR0frF7/4hSQpJiZG4eHhGjx4sGbMmKGsrCy9/PLLGjFihNzc3Cp5dACAmujqOWgS89Cquyodpv7zn/9owIABOnHihBo3bqwHHnhA27ZtU+PGjSVJs2fPlouLix566CHl5+crNjZWf/vb36zta9WqpRUrVuiZZ55RdHS06tatq7i4OE2ZMqWyhgQAqOF+OgfNOyBUuZlHmYdWzVXpMLV48eJr1ru7u2vOnDmaM2dOqW1CQkK0cuXKiu4aAAC2eAeEyjc4rLK7gQpQreZMAQAAVDWEKQAAABsIUwAAADYQpgAAAGwgTAEAANhAmAIAALCBMAUAAGADYQoAAMAGwhQAAIANhCkAAAAbCFMAAAA2EKYAAABsqNJfdAwAQFWVkZGhnJwcSdKBAwcquTeoTIQpAADKKCMjQy1bttKFC+edyi/nX6qkHqEyEaYAACijnJwcXbhwXlG/myjvgFBl7k1QymfvqqCgoLK7hkrAnCkAAMrJOyBUvsFhqtsooLK7gkpEmAIAALCBMAUAAGADYQoAAMAGwhQAAIANhCkAAAAbCFMAAAA28DlTAABbfvpJ4JLUqFEjBQcHV2KPgFuLMAUAKLeSPgncw8NTBw8eKHeg+mk4I5ihOiBMAQDK7epPAs/NPKrtcycrJyenXCHo6nBmN5gBtwJhCgBgW9Engdv103AmyVYwA24VwhQAoMrxDgit7C4AN4y/5gMAALCBMAUAAGADYQoAAMAGwhQAAIANhCkAAAAbCFMAAAA2EKYAAABsIEwBAADYQJgCAACwgTAFAABgQ5UOU9OmTdO9994rLy8vNWnSRP369VNqaqpTmy5dusjhcDgtTz/9tFObjIwM9e7dW56enmrSpInGjh2rgoKCWzkUAABwm6rS3823adMmjRgxQvfee68KCgr03//934qJidH+/ftVt25dq93QoUM1ZcoUa93T09P6+cqVK+rdu7f8/f21detWZWZm6vHHH1edOnX06quv3tLxAACA20+VDlOrVq1yWp8/f76aNGmixMREderUySr39PSUv79/iftYvXq19u/fr7Vr18rPz09t27bV1KlTNW7cOE2aNEmurq7FtsnPz1d+fr61npubW0EjAgAAt5sq/Tbf1c6cOSNJ8vX1dSpfuHChGjVqpLvuukvjx4/X+fPnrbqEhARFRETIz8/PKouNjVVubq727dtX4nGmTZsmHx8fawkKCroJowEAALeDKn1n6qcKCwv1/PPP6/7779ddd91llQ8cOFAhISEKDAzUnj17NG7cOKWmpmrZsmWSpKysLKcgJclaz8rKKvFY48eP15gxY6z13NxcAhUAAChRtQlTI0aMUEpKir766iun8mHDhlk/R0REKCAgQN26dVNaWpqaN29ermO5ubnJzc3NVn8BAEDNUC3e5hs5cqRWrFihDRs26Oc///k120ZFRUmSjhw5Ikny9/dXdna2U5ui9dLmWQEAANyoKh2mjDEaOXKkPvnkE61fv15Nmza97jbJycmSpICAAElSdHS09u7dq+PHj1tt1qxZI29vb4WHh9+UfgMAgJqjSr/NN2LECC1atEiffvqpvLy8rDlOPj4+8vDwUFpamhYtWqQHH3xQDRs21J49ezR69Gh16tRJkZGRkqSYmBiFh4dr8ODBmjFjhrKysvTyyy9rxIgRvJUHAABsq9J3pv7+97/rzJkz6tKliwICAqxlyZIlkiRXV1etXbtWMTExatmypV544QU99NBD+ve//23to1atWlqxYoVq1aql6OhoPfbYY3r88cedPpcKAACgvKr0nSljzDXrg4KCtGnTpuvuJyQkRCtXrqyobgEAAFiq9J0pAACAqo4wBQAAYANhCgAAwAbCFAAAgA2EKQAAABsIUwAAADYQpgAAAGwgTAEAANhAmAIAALCBMAUAAGADYQoAAMAGwhQAAIANhCkAAAAbCFMAAAA2EKYAAABsIEwBAADYQJgCAACwgTAFAABgA2EKAADABsIUAACADYQpAAAAG2pXdgcAAMCtk5GRoZycHGu9UaNGCg4OrsQeVX+EKQAAaoiMjAy1bNlKFy6ct8o8PDx18OABApUNhCkAAGqInJwcXbhwXlG/myjvgFDlZh7V9rmTlZOTQ5iygTAFAEAN4x0QKt/gsMruxm2DCegAAAA2EKYAAABsIEwBAADYQJgCAACwgTAFAABgA2EKAADABsIUAACADYQpAAAAGwhTAAAANhCmAAAAbCBMAQAA2FCjwtScOXMUGhoqd3d3RUVF6euvv67sLgEAgGquxoSpJUuWaMyYMZo4caKSkpLUpk0bxcbG6vjx45XdNQAAUI3VmDA1a9YsDR06VE8++aTCw8P1zjvvyNPTU3Pnzq3srgEAgGqsdmV34Fa4dOmSEhMTNX78eKvMxcVF3bt3V0JCQrH2+fn5ys/Pt9bPnDkjScrNzb35nQWAKiYvL0+SdPLbVKssMTFReXl5Sk1NteoK8i8oNyvDqV768fm2sLDQ2vZa6z/dn91jlbV9eftZkH9BuZnfSpLOfHdYdWo7rnmsin7MyjKO0o6dl5d3W77GFY3JGHNzD2RqgO+++85IMlu3bnUqHzt2rOnQoUOx9hMnTjSSWFhYWFhYWG6DJS0t7abmjBpxZ6qsxo8frzFjxljrp0+fVkhIiDIyMuTj41OJPbu1cnNzFRQUpGPHjsnb27uyu3PLMG7GXRMwbsZdE5w5c0bBwcHy9fW9qcepEWGqUaNGqlWrlrKzs53Ks7Oz5e/vX6y9m5ub3NzcipX7+PjUqIuwiLe3N+OuQRh3zcK4a5aaOm4Xl5s7RbxGTEB3dXVV+/bttW7dOqussLBQ69atU3R0dCX2DAAAVHc14s6UJI0ZM0ZxcXG655571KFDB73++us6d+6cnnzyycruGgAAqMZqTJh69NFH9cMPP2jChAnKyspS27ZttWrVKvn5+V13Wzc3N02cOLHEt/5uZ4ybcdcEjJtx1wSM++aO22HMzf57QQAAgNtXjZgzBQAAcLMQpgAAAGwgTAEAANhAmAIAALChxoapOXPmKDQ0VO7u7oqKitLXX399zfYfffSRWrZsKXd3d0VERGjlypVO9cYYTZgwQQEBAfLw8FD37t11+PDhmzmEcinLuP/xj3+oY8eOatCggRo0aKDu3bsXa//EE0/I4XA4LT179rzZwyizsox7/vz5xcbk7u7u1OZ2PN9dunQpNm6Hw6HevXtbbarD+Y6Pj1efPn0UGBgoh8Oh5cuXX3ebjRs36u6775abm5vuuOMOzZ8/v1ibsj5n3GplHfeyZcvUo0cPNW7cWN7e3oqOjtaXX37p1GbSpEnFznfLli1v4ijKrqzj3rhxY4nXeVZWllO72+18l/S763A41Lp1a6tNVT/f06ZN07333isvLy81adJE/fr1s75r8Fpuxet3jQxTS5Ys0ZgxYzRx4kQlJSWpTZs2io2N1fHjx0tsv3XrVg0YMEBDhgzRrl271K9fP/Xr108pKSlWmxkzZujNN9/UO++8o+3bt6tu3bqKjY3VxYsXb9Wwrqus4964caMGDBigDRs2KCEhQUFBQYqJidF3333n1K5nz57KzMy0lg8++OBWDOeGlXXc0o+fEvzTMX377bdO9bfj+V62bJnTmFNSUlSrVi09/PDDTu2q+vk+d+6c2rRpozlz5txQ+/T0dPXu3Vtdu3ZVcnKynn/+eT311FNOwaI819CtVtZxx8fHq0ePHlq5cqUSExPVtWtX9enTR7t27XJq17p1a6fz/dVXX92M7pdbWcddJDU11WlcTZo0sepux/P9xhtvOI332LFj8vX1Lfb7XZXP96ZNmzRixAht27ZNa9as0eXLlxUTE6Nz586Vus0te/2+qd/8V0V16NDBjBgxwlq/cuWKCQwMNNOmTSux/SOPPGJ69+7tVBYVFWWGDx9ujDGmsLDQ+Pv7m5kzZ1r1p0+fNm5ubuaDDz64CSMon7KO+2oFBQXGy8vLLFiwwCqLi4szffv2reiuVqiyjnvevHnGx8en1P3VlPM9e/Zs4+XlZfLy8qyy6nC+f0qS+eSTT67Z5sUXXzStW7d2Knv00UdNbGystW73sbzVbmTcJQkPDzeTJ0+21idOnGjatGlTcR27yW5k3Bs2bDCSzKlTp0ptUxPO9yeffGIcDoc5evSoVVbdzvfx48eNJLNp06ZS29yq1+8ad2fq0qVLSkxMVPfu3a0yFxcXde/eXQkJCSVuk5CQ4NRekmJjY6326enpysrKcmrj4+OjqKioUvd5q5Vn3Fc7f/68Ll++XOwLIzdu3KgmTZooLCxMzzzzjE6cOFGhfbejvOPOy8tTSEiIgoKC1LdvX+3bt8+qqynn+7333lP//v1Vt25dp/KqfL7L43q/3xXxWFYHhYWFOnv2bLHf78OHDyswMFDNmjXToEGDlJGRUUk9rFht27ZVQECAevTooS1btljlNeV8v/fee+revbtCQkKcyqvT+T5z5owkXfNLjG/V63eNC1M5OTm6cuVKsU8+9/PzK/aeeZGsrKxrti/6tyz7vNXKM+6rjRs3ToGBgU4XXc+ePfX+++9r3bp1+stf/qJNmzapV69eunLlSoX2v7zKM+6wsDDNnTtXn376qf71r3+psLBQ9913n/7zn/9Iqhnn++uvv1ZKSoqeeuopp/Kqfr7Lo7Tf79zcXF24cKFCfneqg9dee015eXl65JFHrLKoqCjNnz9fq1at0t///nelp6erY8eOOnv2bCX21J6AgAC98847Wrp0qZYuXaqgoCB16dJFSUlJkirmubKq+/777/XFF18U+/2uTue7sLBQzz//vO6//37dddddpba7Va/fNebrZGDP9OnTtXjxYm3cuNFpMnb//v2tnyMiIhQZGanmzZtr48aN6tatW2V01bbo6GinL8C+77771KpVK/3P//yPpk6dWok9u3Xee+89RUREqEOHDk7lt+P5hrRo0SJNnjxZn376qdPcoV69elk/R0ZGKioqSiEhIfrwww81ZMiQyuiqbWFhYQoLC7PW77vvPqWlpWn27Nn65z//WYk9u3UWLFig+vXrq1+/fk7l1el8jxgxQikpKVVmTleNuzPVqFEj1apVS9nZ2U7l2dnZ8vf3L3Ebf3//a7Yv+rcs+7zVyjPuIq+99pqmT5+u1atXKzIy8pptmzVrpkaNGunIkSO2+1wR7Iy7SJ06ddSuXTtrTLf7+T537pwWL158Q0+eVe18l0dpv9/e3t7y8PCokGuoKlu8eLGeeuopffjhh8XeDrla/fr11aJFi2p9vkvSoUMHa0y3+/k2xmju3LkaPHiwXF1dr9m2qp7vkSNHasWKFdqwYYN+/vOfX7PtrXr9rnFhytXVVe3bt9e6deusssLCQq1bt87pbsRPRUdHO7WXpDVr1ljtmzZtKn9/f6c2ubm52r59e6n7vNXKM27px79ymDp1qlatWqV77rnnusf5z3/+oxMnTiggIKBC+m1Xecf9U1euXNHevXutMd3O51v68c+I8/Pz9dhjj133OFXtfJfH9X6/K+Iaqqo++OADPfnkk/rggw+cPgKjNHl5eUpLS6vW57skycnJ1phu5/Mt/fgXcUeOHLmh/yxVtfNtjNHIkSP1ySefaP369WratOl1t7llr99lmjp/m1i8eLFxc3Mz8+fPN/v37zfDhg0z9evXN1lZWcYYYwYPHmz++Mc/Wu23bNliateubV577TVz4MABM3HiRFOnTh2zd+9eq8306dNN/fr1zaeffmr27Nlj+vbta5o2bWouXLhwy8dXmrKOe/r06cbV1dV8/PHHJjMz01rOnj1rjDHm7Nmz5g9/+INJSEgw6enpZu3atebuu+82d955p7l48WKljLEkZR335MmTzZdffmnS0tJMYmKi6d+/v3F3dzf79u2z2tyO57vIAw88YB599NFi5dXlfJ89e9bs2rXL7Nq1y0gys2bNMrt27TLffvutMcaYP/7xj2bw4MFW+2+++cZ4enqasWPHmgMHDpg5c+aYWrVqmVWrVlltrvdYVgVlHffChQtN7dq1zZw5c5x+v0+fPm21eeGFF8zGjRtNenq62bJli+nevbtp1KiROX78+C0fX2nKOu7Zs2eb5cuXm8OHD5u9e/ea5557zri4uJi1a9dabW7H813kscceM1FRUSXus6qf72eeecb4+PiYjRs3Ol2z58+ft9pU1ut3jQxTxhjz1ltvmeDgYOPq6mo6dOhgtm3bZtV17tzZxMXFObX/8MMPTYsWLYyrq6tp3bq1+fzzz53qCwsLzSuvvGL8/PyMm5ub6datm0lNTb0VQymTsow7JCTESCq2TJw40RhjzPnz501MTIxp3LixqVOnjgkJCTFDhw6tUk84Rcoy7ueff95q6+fnZx588EGTlJTktL/b8XwbY8zBgweNJLN69epi+6ou57voT9+vXorGGhcXZzp37lxsm7Zt2xpXV1fTrFkzM2/evGL7vdZjWRWUddydO3e+ZntjfvyIiICAAOPq6mp+9rOfmUcffdQcOXLk1g7sOso67r/85S+mefPmxt3d3fj6+pouXbqY9evXF9vv7Xa+jfnxT/49PDzMu+++W+I+q/r5Lmm8kpx+Xyvr9dvx/zsIAACAcqhxc6YAAAAqEmEKAADABsIUAACADYQpAAAAGwhTAAAANhCmAAAAbCBMAQAA2ECYAgAAsIEwhdtWly5d9Pzzz1eZfU+aNElt27at0H6Ehobq9ddfrzL7sev8+fN66KGH5O3tLYfDodOnT9/wtg6HQ8uXL79pfasoGzduLPPYKtuN9LkqP/43cn1Xpf7fzOcu3ByEKdwyTzzxhPr161fZ3bit7NixQ8OGDbvh9vPnz1f9+vVt7+dmWbBggTZv3qytW7cqMzNTPj4+xdrcjFB6s5T0onjfffeVOraKVB1DW01T2jlatmyZpk6dWjmdQrnUruwOAFWVMUZXrlxR7dpV99ekcePGVWo/dqWlpalVq1a66667KrsrN42rq6v8/f0ruxu4iS5duiRXV9dyb+/r61uBvcGtwJ0pVKiPP/5YERER8vDwUMOGDdW9e3edO3dOkyZN0oIFC/Tpp5/K4XDI4XBo48aNkqRx48apRYsW8vT0VLNmzfTKK6/o8uXL1j6L7kT885//VGhoqHx8fNS/f3+dPXvWanPu3Dk9/vjjqlevngICAvTXv/61WN/++c9/6p577pGXl5f8/f01cOBAHT9+3Kov+l/iF198ofbt28vNzU1fffXVDe27JNOnT5efn5+8vLw0ZMgQXbx4sVib//3f/1WrVq3k7u6uli1b6m9/+5tVd99992ncuHFO7X/44QfVqVNH8fHxkoq/fTFr1ixFRESobt26CgoK0u9//3vl5eVZ43vyySd15swZ6xxMmjSpxP1kZGSob9++qlevnry9vfXII48oOzvbqr+Rc1KSpUuXqnXr1nJzc1NoaKjTY9mlSxf99a9/VXx8vBwOh7p06VJs+/nz52vy5MnavXu3NYb58+db9Tk5Ofqv//oveXp66s4779Rnn33mtH1KSop69eqlevXqyc/PT4MHD1ZOTs41+/zVV1+pY8eO8vDwUFBQkJ599lmdO3fOqv/b3/6mO++8U+7u7vLz89Nvf/tbST/eid20aZPeeOMNq69Hjx4tdjei6G7hihUrFBYWJk9PT/32t7/V+fPntWDBAoWGhqpBgwZ69tlndeXKFeu417qejx49qq5du0qSGjRoIIfDoSeeeEKSVFhYqGnTpqlp06by8PBQmzZt9PHHHzuNeeXKlWrRooU8PDzUtWtXHT169JqPUUn27t2rX/7yl9ZzwbBhw6xrUZIKCgr07LPPqn79+mrYsKHGjRunuLi46969vtY1JEnHjx9Xnz595OHhoaZNm2rhwoXF9nH48GF16tRJ7u7uCg8P15o1a5zqL126pJEjRyogIEDu7u4KCQnRtGnTSu1T0V33P//5zwoMDFRYWJik8p+jq+9onjp1So8//rgaNGggT09P9erVS4cPH77m44RbrFxf3QyU4Pvvvze1a9c2s2bNMunp6WbPnj1mzpw55uzZs+bs2bPmkUceMT179jSZmZkmMzPT5OfnG2OMmTp1qtmyZYtJT083n332mfHz8zN/+ctfrP1OnDjR1KtXz/zmN78xe/fuNfHx8cbf39/893//t9XmmWeeMcHBwWbt2rVmz5495le/+pXx8vIyzz33nNXmvffeMytXrjRpaWkmISHBREdHm169eln1Rd/CHhkZaVavXm2OHDliTpw4cUP7vtqSJUuMm5ub+d///V9z8OBB89JLLxkvLy/Tpk0bq82//vUvExAQYJYuXWq++eYbs3TpUuPr62vmz59vjDHm7bffNsHBwaawsNDapuib7IvKQkJCzOzZs6362bNnm/Xr15v09HSzbt06ExYWZp555hljjDH5+fnm9ddfN97e3tY5OHv2bLH9XLlyxbRt29Y88MADZufOnWbbtm2mffv2Tt9AfyPn5Go7d+40Li4uZsqUKSY1NdXMmzfPeHh4WN/4fuLECTN06FATHR1tMjMzzYkTJ4rt4/z58+aFF14wrVu3tsZw/vx5Y8yP3yj/85//3CxatMgcPnzYPPvss6ZevXrWfk6dOmUaN25sxo8fbw4cOGCSkpJMjx49TNeuXUvt85EjR0zdunXN7NmzzaFDh8yWLVtMu3btzBNPPGGMMWbHjh2mVq1aZtGiRebo0aMmKSnJvPHGG8YYY06fPm2io6PN0KFDrb4WFBRY19mpU6eMMcbMmzfP1KlTx/To0cMkJSWZTZs2mYYNG5qYmBjzyCOPmH379pl///vfxtXV1SxevNjq27Wu54KCArN06VIjyaSmpprMzExz+vRpY4wxf/rTn0zLli3NqlWrTFpampk3b55xc3MzGzduNMYYk5GRYdzc3MyYMWPMwYMHzb/+9S/j5+fn1OeSSDKffPKJMcaYvLw8ExAQYF0f69atM02bNjVxcXFW+z/96U/G19fXLFu2zBw4cMA8/fTTxtvb2/Tt27fUY1zvGjLGmF69epk2bdqYhIQEs3PnTnPfffcZDw8Pp+v7rrvuMt26dTPJyclm06ZNpl27dk79nzlzpgkKCjLx8fHm6NGjZvPmzWbRokWl9isuLs7Uq1fPDB482KSkpJiUlBRb56hz585Ozy+//vWvTatWrUx8fLxJTk42sbGx5o477jCXLl0qtU+4tQhTqDCJiYlGkjl69GiJ9XFxcdd8oiwyc+ZM0759e2t94sSJxtPT0+Tm5lplY8eONVFRUcYYY86ePWtcXV3Nhx9+aNWfOHHCeHh4XDPw7Nixw0iyAkXRi9zy5cutNuXdd3R0tPn973/vVBYVFeUUppo3b17sCXrq1KkmOjraGGPM8ePHTe3atU18fLzTfseNG2etXx2mrvbRRx+Zhg0bWuvz5s0zPj4+xdr9dD+rV682tWrVMhkZGVb9vn37jCTz9ddfG2Ouf05KMnDgQNOjRw+nsrFjx5rw8HBr/bnnnnMKbSWZOHGi0+NYRJJ5+eWXrfW8vDwjyXzxxRfGmB8f25iYGKdtjh07Zr2YlWTIkCFm2LBhTmWbN282Li4u5sKFC2bp0qXG29vb6XH4qatfFI0xJYYpSebIkSNWm+HDhxtPT0/r2jTGmNjYWDN8+PASj2NM6dfzTwPQxYsXjaenp9m6dWuxcQ4YMMAYY8z48eOdzokxxowbN65MYerdd981DRo0MHl5eVb9559/blxcXExWVpYxxhg/Pz8zc+ZMq76goMAEBwdf8znietdQamqq03VqjDEHDhwwkqzr+8svvzS1a9c23333ndXmiy++cOr/qFGjzC9/+Uun/8hcS1xcnPHz87P+g1iaGzlHxjhfN4cOHTKSzJYtW6z6nJwc4+Hh4fS8hMrF23yoMG3atFG3bt0UERGhhx9+WP/4xz906tSp6263ZMkS3X///fL391e9evX08ssvKyMjw6lNaGiovLy8rPWAgADrdnlaWpouXbqkqKgoq97X19e61V4kMTFRffr0UXBwsLy8vNS5c2dJKnase+65x/r5Rvd9tQMHDjhtI0nR0dHWz+fOnVNaWpqGDBmievXqWcuf/vQnpaWlSfpxHlNMTIz1NkV6eroSEhI0aNCgUo+7du1adevWTT/72c/k5eWlwYMH68SJEzp//vw1+3t134OCghQUFGSVhYeHq379+jpw4IBVdq1zUtp+77//fqey+++/X4cPH3Z6+8qOyMhI6+e6devK29vb6tPu3bu1YcMGp8e7ZcuWkmQ95lfbvXu35s+f77RNbGysCgsLlZ6erh49eigkJETNmjXT4MGDtXDhwjI91kU8PT3VvHlza93Pz0+hoaGqV6+eU9lPH98bvZ5/6siRIzp//rx69OjhNKb333/fegyud+3eiAMHDqhNmzaqW7euVXb//fersLBQqampOnPmjLKzs9WhQwervlatWmrfvv1193uta+jAgQOqXbu2035atmzp9EcXRdd3YGBgqeN74oknlJycrLCwMD377LNavXr1dcccERFRbJ5Uec5RSWOuXbu20zlp2LChwsLCnH4fUbkIU6gwtWrV0po1a/TFF18oPDxcb731lsLCwpSenl7qNkXh4MEHH9SKFSu0a9cuvfTSS7p06ZJTuzp16jitOxwOFRYW3nDfzp07p9jYWHl7e2vhwoXasWOHPvnkE0kqdqyfvgDcLEVzR/7xj38oOTnZWlJSUrRt2zar3aBBg/Txxx/r8uXLWrRokSIiIhQREVHiPo8ePapf/epXioyM1NKlS5WYmKg5c+ZIKj7GimD3nNwM1+pTXl6e+vTp4/R4JycnW/NnSpKXl6fhw4c7td+9e7cOHz6s5s2by8vLS0lJSfrggw8UEBCgCRMmqE2bNmX+C7qS+n2tsZTler56PJL0+eefO41p//79xeZN1WR333230tPTNXXqVF24cEGPPPKINReuNFc/b5T3HKF6IkyhQjkcDt1///2aPHmydu3aJVdXV+sJxNXVtdgdiK1btyokJEQvvfSS7rnnHt1555369ttvy3TM5s2bq06dOtq+fbtVdurUKR06dMhaP3jwoE6cOKHp06erY8eOatmy5TXvopRl3yVp1aqV0zaSnEKSn5+fAgMD9c033+iOO+5wWpo2bWq169u3ry5evKhVq1Zp0aJF17wrlZiYqMLCQv31r3/VL37xC7Vo0ULff/+9U5uSzkFJfT927JiOHTtmle3fv1+nT59WeHj4Nbe93n63bNniVLZlyxa1aNFCtWrVuuH93MgYSnL33Xdr3759Cg0NLfaYlxag7777bu3fv79Y+zvuuMO6C1G7dm11795dM2bM0J49e3T06FGtX7/eVl+v50au56L+/fT44eHhcnNzU0ZGRrHxFN2JbNWqlb7++munff302r0RrVq10u7du50m6m/ZskUuLi4KCwuTj4+P/Pz8tGPHDqv+ypUrSkpKuu5+r3UNtWzZUgUFBUpMTLTqU1NTncJt0fWdmZl5zfF5e3vr0Ucf1T/+8Q8tWbJES5cu1cmTJ2/4MSjvOSppzAUFBU7PJydOnFBqaqqt30dULMIUKsz27dv16quvaufOncrIyNCyZcv0ww8/qFWrVpJ+fFtoz549Sk1NVU5Oji5fvqw777xTGRkZWrx4sdLS0vTmm29a4etG1atXT0OGDNHYsWO1fv16paSk6IknnpCLy/9d3sHBwXJ1ddVbb72lb775Rp999tkNfY7Ljey7JM8995zmzp2refPm6dChQ5o4caL27dvn1Gby5MmaNm2a3nzzTR06dEh79+7VvHnzNGvWLKtN3bp11a9fP73yyis6cOCABgwYUOox77jjDl2+fNka4z//+U+98847Tm1CQ0OVl5endevWKScnp8S3pLp3766IiAgNGjRISUlJ+vrrr/X444+rc+fOTm+BltULL7ygdevWaerUqTp06JAWLFigt99+W3/4wx/KtJ/Q0FClp6crOTlZOTk5ys/Pv6HtRowYoZMnT2rAgAHasWOH0tLS9OWXX+rJJ58s9cVs3Lhx2rp1q0aOHGndxfr00081cuRISdKKFSv05ptvKjk5Wd9++63ef/99FRYWWm8Dh4aGavv27Tp69KhycnIq7M7djVzPISEhcjgcWrFihX744Qfl5eXJy8tLf/jDHzR69GgtWLBAaWlpSkpK0ltvvaUFCxZIkp5++mkdPnxYY8eOVWpqqhYtWuT0F5M3YtCgQXJ3d1dcXJxSUlK0YcMGjRo1SoMHD5afn58kadSoUZo2bZo+/fRTpaam6rnnntOpU6fkcDhK3e/1rqGwsDD17NlTw4cP1/bt25WYmKinnnpKHh4e1j66d++uFi1aKC4uTrt379bmzZv10ksvOR1n1qxZ+uCDD3Tw4EEdOnRIH330kfz9/Uv8jLbSlPccXe3OO+9U3759NXToUH311VfavXu3HnvsMf3sZz9T3759b7g/uMkqe9IWbh/79+83sbGxpnHjxsbNzc20aNHCvPXWW1b98ePHTY8ePUy9evWMJLNhwwZjzI8TSBs2bGjq1atnHn30UTN79mynSdIlTTiePXu2CQkJsdbPnj1rHnvsMePp6Wn8/PzMjBkzik3+XbRokQkNDTVubm4mOjrafPbZZ0aS2bVrlzGm9MmgN7Lvkvz5z382jRo1MvXq1TNxcXHmxRdfLDaOhQsXmrZt2xpXV1fToEED06lTJ7Ns2TKnNitXrjSSTKdOnYod4+oJ6LNmzTIBAQHGw8PDxMbGmvfff7/YmJ5++mnTsGFDI8lMnDixxP18++235te//rWpW7eu8fLyMg8//LA1cdiYGzsnJfn4449NeHi4qVOnjgkODnaagGzMjU1Av3jxonnooYdM/fr1jSTrL7n0kwnERXx8fJz+0uvQoUPmv/7rv0z9+vWNh4eHadmypXn++eevOdH466+/tq7bunXrmsjISPPnP//ZGPPjZPTOnTubBg0aGA8PDxMZGWmWLFlibZuammp+8YtfGA8PDyPJpKenlzgB/eo/Cijp8b36Dziudz0bY8yUKVOMv7+/cTgc1l/SFRYWmtdff92EhYWZOnXqmMaNG5vY2FizadMma7t///vf5o477jBubm6mY8eOZu7cuWWagG6MMXv27DFdu3Y17u7uxtfX1wwdOtRpQv3ly5fNyJEjjbe3t2nQoIEZN26cefjhh03//v1LPYYx17+GMjMzTe/evY2bm5sJDg4277//frHrOzU11TzwwAPG1dXVtGjRwqxatarYBPq2bduaunXrGm9vb9OtWzeTlJRUap9K++Oa8p6jq59fTp48aQYPHmx8fHys3+1Dhw5d83HCreUwxphKyHAAAFgKCwvVqlUrPfLII3z6N6qdqvvRzgCA29a3336r1atXq3PnzsrPz9fbb7+t9PR0DRw4sLK7BpQZc6YAALeci4uL5s+fr3vvvVf333+/9u7dq7Vr11pzLIHqhLf5AAAAbODOFAAAgA2EKQAAABsIUwAAADYQpgAAAGwgTAEAANhAmAIAALCBMAUAAGADYQoAAMCG/wdTWUImr2x7mAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total counts: 50\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total counts: 500\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total counts: 5000\n"
     ]
    },
    {
     "data": {
      "image/png": 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AADVOpS8PkJycrOTkZGVnZ1tHmkq88847F1wYAACAp1UqKE2YMEEvvPCCOnfurIiICDkcjqquCwAAwOMqFZRmzJihpKQkDR48uKrrAQAAqDEqdR2lwsJC3XDDDVVdCwAAQI1SqaD08MMPa/bs2VVdCwAAQI1SqY/eTp06pX//+99asmSJ2rVrJx8fH7f5U6dOrZLiAAAAPKlSQWnz5s3q0KGDJGnr1q1u8zixGwAA1BaVCkrffvttVdcBAABQ41TqHCUAAIDLQaWOKPXo0eOcH7EtXbq00gUBAADUFJUKSiXnJ5U4ffq0Nm7cqK1bt5b6sVwAAIBLVaWC0rRp08qc/vzzzys/P/+CCgIAAKgpqvQcpfvvv5/feQMAALVGlQallJQU1a1btypXCQAA4DGV+ujtzjvvdLtvjNHBgwf1ww8/6LnnnquSwgAAADytUkEpJCTE7b6Xl5eio6P1wgsvqHfv3lVSGAAAgKdVKijNnDmzqusAAACocSoVlEqkpqZqx44dkqQ2bdro2muvrZKiAAAAaoJKBaXs7GwNHDhQy5YtU2hoqCTp+PHj6tGjh+bMmaMGDRpUZY0AAAAeUalvvY0YMUJ5eXnatm2bjh49qqNHj2rr1q3Kzc3V448/XtU1AgAAeESljigtXLhQS5YsUevWra1pMTExmj59OidzAwCAWqNSR5SKi4vl4+NTarqPj4+Ki4svuCgAAICaoFJB6ZZbbtETTzyhAwcOWNN++eUXPfnkk+rZs2eVFQcAAOBJlQpKb7zxhnJzcxUVFaVmzZqpWbNmatq0qXJzc/X6669XdY0AAAAeUalzlCIjI7V+/XotWbJEO3fulCS1bt1acXFxVVocAACAJ1XoiNLSpUsVExOj3NxcORwO9erVSyNGjNCIESN03XXXqU2bNvruu+8uVq0AAADVqkJB6ZVXXtHQoUPldDpLzQsJCdGjjz6qqVOnVllxAAAAnlShoLRp0ybdeuuttvN79+6t1NTUCy4KAACgJqhQUMrKyirzsgAlvL29dejQoQsuCgAAoCaoUFC68sortXXrVtv5mzdvVkRExAUXBQAAUBNUKCjddttteu6553Tq1KlS83799VeNHz9et99+e5UVBwAA4EkOY4wpb+OsrCx17NhRderU0fDhwxUdHS1J2rlzp6ZPn66ioiKtX79eLpfrohV8MeTm5iokJEQ5OTllnqh+Ps3bdNDe7ZtUgYcSAABcoAt9/y6PCl1HyeVyadWqVRo2bJjGjh1rBQOHw6H4+HhNnz79kgtJAAAAdip8wckmTZro66+/1rFjx7Rnzx4ZY9SiRQvVq1fvYtQHAADgMZW6Mrck1atXT9ddd11V1gIAAFCjVOq33uAuLy/P0yUAAICLgKBUBQhKAADUTgQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGx4NSpMmTdJ1112n4OBgNWzYUP3791daWppbm1OnTikxMVH169dXUFCQBgwYoKysLLc2GRkZ6tu3rwICAtSwYUONHj1aZ86cqc6uAACAWsijQWn58uVKTEzU6tWrtXjxYp0+fVq9e/fWiRMnrDZPPvmkvvrqK33yySdavny5Dhw4oDvvvNOaX1RUpL59+6qwsFCrVq3SrFmzlJSUpHHjxnmiSwAAoBZxGGOMp4socejQITVs2FDLly/XH/7wB+Xk5KhBgwaaPXu27rrrLknSzp071bp1a6WkpKhr165asGCBbr/9dh04cEAul0uSNGPGDI0ZM0aHDh2Sr6/vebebm5urkJAQ5eTkyOl0VrhuP2d9FeYdVQ16KAEAqPUu9P27PGrUOUo5OTmSpLCwMElSamqqTp8+rbi4OKtNq1at1LhxY6WkpEiSUlJS1LZtWyskSVJ8fLxyc3O1bdu2MrdTUFCg3Nxct9uFKCoquqDlAQBAzVRjglJxcbFGjhypbt266ZprrpEkZWZmytfXV6GhoW5tXS6XMjMzrTa/D0kl80vmlWXSpEkKCQmxbpGRkVXcGwAAUBvUmKCUmJiorVu3as6cORd9W2PHjlVOTo51279//0XfJgAAuPR4e7oASRo+fLjmz5+vFStW6KqrrrKmh4eHq7CwUMePH3c7qpSVlaXw8HCrzdq1a93WV/KtuJI2Z/Pz85Ofn18V9wIAANQ2Hj2iZIzR8OHDNW/ePC1dulRNmzZ1m9+pUyf5+PgoOTnZmpaWlqaMjAzFxsZKkmJjY7VlyxZlZ2dbbRYvXiyn06mYmJjq6QgAAKiVPHpEKTExUbNnz9YXX3yh4OBg65yikJAQ+fv7KyQkREOGDNGoUaMUFhYmp9OpESNGKDY2Vl27dpUk9e7dWzExMRo8eLCmTJmizMxMPfvss0pMTOSoEQAAuCAevTyAw+Eoc/rMmTP14IMPSvrtgpNPPfWUPvzwQxUUFCg+Pl5vvvmm28dqP/30k4YNG6Zly5YpMDBQCQkJmjx5sry9y5cDL/Trhd6BoSo6mcPlAQAAqEbVcXmAGnUdJU8hKAEAcOm57K6jBAAAUJMQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlAAAAGwQlKqE8XQBAADgIiAoVQFDTgIAoFYiKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANggKAEAANjwaFBasWKF7rjjDjVq1EgOh0Off/6523xjjMaNG6eIiAj5+/srLi5Ou3fvdmtz9OhRDRo0SE6nU6GhoRoyZIjy8/OrsRcAAKC28mhQOnHihNq3b6/p06eXOX/KlCl67bXXNGPGDK1Zs0aBgYGKj4/XqVOnrDaDBg3Stm3btHjxYs2fP18rVqzQI488Ul1dAAAAtZjDGGM8XYQkORwOzZs3T/3795f029GkRo0a6amnntLTTz8tScrJyZHL5VJSUpIGDhyoHTt2KCYmRuvWrVPnzp0lSQsXLtRtt92mn3/+WY0aNSpzWwUFBSooKLDu5+bmKjIyUjk5OXI6nRWuvU5AiIp/zVUNeSgBALgs5ObmKiQkpNLv3+VRY89RSk9PV2ZmpuLi4qxpISEh6tKli1JSUiRJKSkpCg0NtUKSJMXFxcnLy0tr1qyxXfekSZMUEhJi3SIjIy9eRwAAwCWrxgalzMxMSZLL5XKb7nK5rHmZmZlq2LCh23xvb2+FhYVZbcoyduxY5eTkWLf9+/dXcfUAAKA28PZ0AZ7g5+cnPz8/T5cBAABquBp7RCk8PFySlJWV5TY9KyvLmhceHq7s7Gy3+WfOnNHRo0etNgAAAJVVY4NS06ZNFR4eruTkZGtabm6u1qxZo9jYWElSbGysjh8/rtTUVKvN0qVLVVxcrC5dulR7zQAAoHbx6Edv+fn52rNnj3U/PT1dGzduVFhYmBo3bqyRI0fqxRdfVIsWLdS0aVM999xzatSokfXNuNatW+vWW2/V0KFDNWPGDJ0+fVrDhw/XwIEDbb/xBgAAUF4eDUo//PCDevToYd0fNWqUJCkhIUFJSUn661//qhMnTuiRRx7R8ePHdeONN2rhwoWqW7eutcwHH3yg4cOHq2fPnvLy8tKAAQP02muvVXtfAABA7VNjrqPkSRd6HQauowQAQPW7rK+jBAAA4GkEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABsEJQAAABu1JihNnz5dUVFRqlu3rrp06aK1a9d6uiQAAHCJqxVB6aOPPtKoUaM0fvx4rV+/Xu3bt1d8fLyys7M9XRoAALiE1YqgNHXqVA0dOlQPPfSQYmJiNGPGDAUEBOidd97xdGkAAOAS5u3pAi5UYWGhUlNTNXbsWGual5eX4uLilJKSUuYyBQUFKigosO7n5ORIknJzcytVgzHmgpYHAAAVV/K+W/I+fDFc8kHp8OHDKioqksvlcpvucrm0c+fOMpeZNGmSJkyYUGp6ZGTkBdUSEhJyQcsDAICKO3LkyEV7D77kg1JljB07VqNGjbLuHz9+XE2aNFFGRsZlFXZyc3MVGRmp/fv3y+l0erqcakO/6fflgH7T78tBTk6OGjdurLCwsIu2jUs+KF1xxRWqU6eOsrKy3KZnZWUpPDy8zGX8/Pzk5+dXanpISMhltYOVcDqd9PsyQr8vL/T78nK59tvL6+Kdcn3Jn8zt6+urTp06KTk52ZpWXFys5ORkxcbGerAyAABwqbvkjyhJ0qhRo5SQkKDOnTvr+uuv1yuvvKITJ07ooYce8nRpAADgElYrgtK9996rQ4cOady4ccrMzFSHDh20cOHCUid42/Hz89P48ePL/DiuNqPf9PtyQL/p9+WAfl+8fjvMxfxOHQAAwCXskj9HCQAA4GIhKAEAANggKAEAANggKAEAANiolUFp+vTpioqKUt26ddWlSxetXbv2nO0/+eQTtWrVSnXr1lXbtm319ddfu803xmjcuHGKiIiQv7+/4uLitHv37ovZhUqpSL/feust3XTTTapXr57q1aunuLi4Uu0ffPBBORwOt9utt956sbtRYRXpd1JSUqk+1a1b161NbRzvm2++uVS/HQ6H+vbta7W5FMZ7xYoVuuOOO9SoUSM5HA59/vnn511m2bJl6tixo/z8/NS8eXMlJSWValPR14zqVtF+f/bZZ+rVq5caNGggp9Op2NhYffPNN25tnn/++VLj3apVq4vYi4qraL+XLVtW5n6emZnp1q62jXdZz12Hw6E2bdpYbWr6eE+aNEnXXXedgoOD1bBhQ/Xv319paWnnXa463r9rXVD66KOPNGrUKI0fP17r169X+/btFR8fr+zs7DLbr1q1Svfdd5+GDBmiDRs2qH///urfv7+2bt1qtZkyZYpee+01zZgxQ2vWrFFgYKDi4+N16tSp6urWeVW038uWLdN9992nb7/9VikpKYqMjFTv3r31yy+/uLW79dZbdfDgQev24YcfVkd3yq2i/ZZ+u3Lt7/v0008/uc2vjeP92WefufV569atqlOnju6++263djV9vE+cOKH27dtr+vTp5Wqfnp6uvn37qkePHtq4caNGjhyphx9+2C00VGYfqm4V7feKFSvUq1cvff3110pNTVWPHj10xx13aMOGDW7t2rRp4zbe33///cUov9Iq2u8SaWlpbv1q2LChNa82jverr77q1t/9+/crLCys1PO7Jo/38uXLlZiYqNWrV2vx4sU6ffq0evfurRMnTtguU23v36aWuf76601iYqJ1v6ioyDRq1MhMmjSpzPb33HOP6du3r9u0Ll26mEcffdQYY0xxcbEJDw83L730kjX/+PHjxs/Pz3z44YcXoQeVU9F+n+3MmTMmODjYzJo1y5qWkJBg+vXrV9WlVqmK9nvmzJkmJCTEdn2Xy3hPmzbNBAcHm/z8fGvapTDevyfJzJs375xt/vrXv5o2bdq4Tbv33ntNfHy8df9CH8vqVp5+lyUmJsZMmDDBuj9+/HjTvn37qivsIitPv7/99lsjyRw7dsy2zeUw3vPmzTMOh8Ps27fPmnapjXd2draRZJYvX27bprrev2vVEaXCwkKlpqYqLi7Omubl5aW4uDilpKSUuUxKSopbe0mKj4+32qenpyszM9OtTUhIiLp06WK7zupWmX6f7eTJkzp9+nSpHxZctmyZGjZsqOjoaA0bNkxHjhyp0tovRGX7nZ+fryZNmigyMlL9+vXTtm3brHmXy3i//fbbGjhwoAIDA92m1+TxrozzPb+r4rG8FBQXFysvL6/U83v37t1q1KiRrr76ag0aNEgZGRkeqrBqdejQQREREerVq5dWrlxpTb9cxvvtt99WXFycmjRp4jb9UhrvnJwcSTrnj91W1/t3rQpKhw8fVlFRUakrcrtcrlKfUZfIzMw8Z/uSfyuyzupWmX6fbcyYMWrUqJHbDnXrrbfq3XffVXJysv7+979r+fLl6tOnj4qKiqq0/sqqTL+jo6P1zjvv6IsvvtD777+v4uJi3XDDDfr5558lXR7jvXbtWm3dulUPP/yw2/SaPt6VYff8zs3N1a+//lolz51LwT/+8Q/l5+frnnvusaZ16dJFSUlJWrhwof75z38qPT1dN910k/Ly8jxY6YWJiIjQjBkzNHfuXM2dO1eRkZG6+eabtX79eklV81pZ0x04cEALFiwo9fy+lMa7uLhYI0eOVLdu3XTNNdfYtquu9+9a8RMmuDCTJ0/WnDlztGzZMrcTmwcOHGj93bZtW7Vr107NmjXTsmXL1LNnT0+UesFiY2Pdfiz5hhtuUOvWrfWvf/1LEydO9GBl1eftt99W27Ztdf3117tNr43jDWn27NmaMGGCvvjiC7dzdfr06WP93a5dO3Xp0kVNmjTRxx9/rCFDhnii1AsWHR2t6Oho6/4NN9ygvXv3atq0aXrvvfc8WFn1mTVrlkJDQ9W/f3+36ZfSeCcmJmrr1q015hyqWnVE6YorrlCdOnWUlZXlNj0rK0vh4eFlLhMeHn7O9iX/VmSd1a0y/S7xj3/8Q5MnT9aiRYvUrl27c7a9+uqrdcUVV2jPnj0XXHNVuJB+l/Dx8dG1115r9am2j/eJEyc0Z86ccr0w1rTxrgy757fT6ZS/v3+V7EM12Zw5c/Twww/r448/LvURxdlCQ0PVsmXLS3q8y3L99ddbfart422M0TvvvKPBgwfL19f3nG1r6ngPHz5c8+fP17fffqurrrrqnG2r6/27VgUlX19fderUScnJyda04uJiJScnux1F+L3Y2Fi39pK0ePFiq33Tpk0VHh7u1iY3N1dr1qyxXWd1q0y/pd++DTBx4kQtXLhQnTt3Pu92fv75Zx05ckQRERFVUveFqmy/f6+oqEhbtmyx+lSbx1v67au0BQUFuv/++8+7nZo23pVxvud3VexDNdWHH36ohx56SB9++KHbZSDs5Ofna+/evZf0eJdl48aNVp9q83hLv31zbM+ePeX6j1BNG29jjIYPH6558+Zp6dKlatq06XmXqbb37wqdhn4JmDNnjvHz8zNJSUlm+/bt5pFHHjGhoaEmMzPTGGPM4MGDzf/8z/9Y7VeuXGm8vb3NP/7xD7Njxw4zfvx44+PjY7Zs2WK1mTx5sgkNDTVffPGF2bx5s+nXr59p2rSp+fXXX6u9f3Yq2u/JkycbX19f8+mnn5qDBw9at7y8PGOMMXl5eebpp582KSkpJj093SxZssR07NjRtGjRwpw6dcojfSxLRfs9YcIE880335i9e/ea1NRUM3DgQFO3bl2zbds2q01tHO8SN954o7n33ntLTb9UxjsvL89s2LDBbNiwwUgyU6dONRs2bDA//fSTMcaY//mf/zGDBw+22v/4448mICDAjB492uzYscNMnz7d1KlTxyxcuNBqc77HsiaoaL8/+OAD4+3tbaZPn+72/D5+/LjV5qmnnjLLli0z6enpZuXKlSYuLs5cccUVJjs7u9r7Z6ei/Z42bZr5/PPPze7du82WLVvME088Yby8vMySJUusNrVxvEvcf//9pkuXLmWus6aP97Bhw0xISIhZtmyZ2z578uRJq42n3r9rXVAyxpjXX3/dNG7c2Pj6+prrr7/erF692prXvXt3k5CQ4Nb+448/Ni1btjS+vr6mTZs25r///a/b/OLiYvPcc88Zl8tl/Pz8TM+ePU1aWlp1dKVCKtLvJk2aGEmlbuPHjzfGGHPy5EnTu3dv06BBA+Pj42OaNGlihg4dWqNeTEpUpN8jR4602rpcLnPbbbeZ9evXu62vNo63Mcbs3LnTSDKLFi0qta5LZbxLvv599q2krwkJCaZ79+6llunQoYPx9fU1V199tZk5c2ap9Z7rsawJKtrv7t27n7O9Mb9dJiEiIsL4+vqaK6+80tx7771mz5491dux86hov//+97+bZs2ambp165qwsDBz8803m6VLl5Zab20bb2N++9q7v7+/+fe//13mOmv6eJfVX0luz1dPvX87/r8CAQAAcJZadY4SAABAVSIoAQAA2CAoAQAA2CAoAQAA2CAoAQAA2CAoAQAA2CAoAQAA2CAoAQAA2CAo4ZJ08803a+TIkTVm3c8//7w6dOhQpXVERUXplVdeqTHruVAnT57UgAED5HQ65XA4dPz48XIv63A49Pnnn1+02qrKsmXLKtw3TytPzTX58S/P/l2T6r+Yr124OAhKqBIPPvig+vfv7+kyapV169bpkUceKXf7pKQkhYaGXvB6LpZZs2bpu+++06pVq3Tw4EGFhISUanMxAufFUtYb3g033GDbt6p0KQayy43dGH322WeaOHGiZ4pCpXh7ugDAE4wxKioqkrd3zX0KNGjQoEat50Lt3btXrVu31jXXXOPpUi4aX19fhYeHe7oMXESFhYXy9fWt9PJhYWFVWA2qA0eUUG6ffvqp2rZtK39/f9WvX19xcXE6ceKEnn/+ec2aNUtffPGFHA6HHA6Hli1bJkkaM2aMWrZsqYCAAF199dV67rnndPr0aWudJUcQ3nvvPUVFRSkkJEQDBw5UXl6e1ebEiRN64IEHFBQUpIiICL388sulanvvvffUuXNnBQcHKzw8XH/+85+VnZ1tzS/5392CBQvUqVMn+fn56fvvvy/XussyefJkuVwuBQcHa8iQITp16lSpNv/5z3/UunVr1a1bV61atdKbb75pzbvhhhs0ZswYt/aHDh2Sj4+PVqxYIan0RwpTp05V27ZtFRgYqMjISP3lL39Rfn6+1b+HHnpIOTk51hg8//zzZa4nIyND/fr1U1BQkJxOp+655x5lZWVZ88szJmWZO3eu2rRpIz8/P0VFRbk9ljfffLNefvllrVixQg6HQzfffHOp5ZOSkjRhwgRt2rTJ6kNSUpI1//Dhw/rTn/6kgIAAtWjRQl9++aXb8lu3blWfPn0UFBQkl8ulwYMH6/Dhw+es+fvvv9dNN90kf39/RUZG6vHHH9eJEyes+W+++aZatGihunXryuVy6a677pL02xHU5cuX69VXX7Vq3bdvX6mjCCVH+ebPn6/o6GgFBATorrvu0smTJzVr1ixFRUWpXr16evzxx1VUVGRt91z78759+9SjRw9JUr169eRwOPTggw9KkoqLizVp0iQ1bdpU/v7+at++vT799FO3Pn/99ddq2bKl/P391aNHD+3bt++cj1FZtmzZoltuucV6LXjkkUesfVGSzpw5o8cff1yhoaGqX7++xowZo4SEhPMedT7XPiRJ2dnZuuOOO+Tv76+mTZvqgw8+KLWO3bt36w9/+IPq1q2rmJgYLV682G1+YWGhhg8froiICNWtW1dNmjTRpEmTbGsqOVr+t7/9TY0aNVJ0dLSkyo/R2Ucijx07pgceeED16tVTQECA+vTpo927d5/zcUI1q9TP/OKyc+DAAePt7W2mTp1q0tPTzebNm8306dNNXl6eycvLM/fcc4+59dZbzcGDB83BgwdNQUGBMcaYiRMnmpUrV5r09HTz5ZdfGpfLZf7+979b6x0/frwJCgoyd955p9myZYtZsWKFCQ8PN//7v/9rtRk2bJhp3LixWbJkidm8ebO5/fbbTXBwsHniiSesNm+//bb5+uuvzd69e01KSoqJjY01ffr0seaX/Bp3u3btzKJFi8yePXvMkSNHyrXus3300UfGz8/P/Oc//zE7d+40zzzzjAkODjbt27e32rz//vsmIiLCzJ071/z4449m7ty5JiwszCQlJRljjHnjjTdM48aNTXFxsbVMyS+al0xr0qSJmTZtmjV/2rRpZunSpSY9Pd0kJyeb6OhoM2zYMGOMMQUFBeaVV14xTqfTGoO8vLxS6ykqKjIdOnQwN954o/nhhx/M6tWrTadOndx+ibw8Y3K2H374wXh5eZkXXnjBpKWlmZkzZxp/f3/rl7+PHDlihg4damJjY83BgwfNkSNHSq3j5MmT5qmnnjJt2rSx+nDy5EljzG+/LH7VVVeZ2bNnm927d5vHH3/cBAUFWes5duyYadCggRk7dqzZsWOHWb9+venVq5fp0aOHbc179uwxgYGBZtq0aWbXrl1m5cqV5tprrzUPPvigMcaYdevWmTp16pjZs2ebffv2mfXr15tXX33VGPPbL7XHxsaaoUOHWrWeOXPG2s+OHTtmjDFm5syZxsfHx/Tq1cusX7/eLF++3NSvX9/07t3b3HPPPWbbtm3mq6++Mr6+vmbOnDlWbefan8+cOWPmzp1rJJm0tDRz8OBBc/z4cWOMMS+++KJp1aqVWbhwodm7d6+ZOXOm8fPzM8uWLTPGGJORkWH8/PzMqFGjzM6dO837779vXC6XW81lkWTmzZtnjDEmPz/fREREWPtHcnKyadq0qduvur/44osmLCzMfPbZZ2bHjh3mscceM06n0/Tr1892G+fbh4wxpk+fPqZ9+/YmJSXF/PDDD+aGG24w/v7+bvv3NddcY3r27Gk2btxoli9fbq699lq3+l966SUTGRlpVqxYYfbt22e+++47M3v2bNu6EhISTFBQkBk8eLDZunWr2bp16wWNUffu3d1eX/74xz+a1q1bmxUrVpiNGzea+Ph407x5c1NYWGhbE6oXQQnlkpqaaiSZffv2lTk/ISHhnC+CJV566SXTqVMn6/748eNNQECAyc3NtaaNHj3adOnSxRhjTF5envH19TUff/yxNf/IkSPG39//nGFm3bp1RpIVFkrewD7//HOrTWXXHRsba/7yl7+4TevSpYtbUGrWrFmpF9+JEyea2NhYY4wx2dnZxtvb26xYscJtvWPGjLHunx2UzvbJJ5+Y+vXrW/dnzpxpQkJCSrX7/XoWLVpk6tSpYzIyMqz527ZtM5LM2rVrjTHnH5Oy/PnPfza9evVymzZ69GgTExNj3X/iiSfcAllZxo8f7/Y4lpBknn32Wet+fn6+kWQWLFhgjPntse3du7fbMvv377feqMoyZMgQ88gjj7hN++6774yXl5f59ddfzdy5c43T6XR7HH7v7Dc8Y0yZQUmS2bNnj9Xm0UcfNQEBAda+aYwx8fHx5tFHHy1zO8bY78+/DzenTp0yAQEBZtWqVaX6ed999xljjBk7dqzbmBhjzJgxYyoUlP7973+bevXqmfz8fGv+f//7X+Pl5WUyMzONMca4XC7z0ksvWfPPnDljGjdufM7XiPPtQ2lpaW77qTHG7Nixw0iy9u9vvvnGeHt7m19++cVqs2DBArf6R4wYYW655Ra3/6ScS0JCgnG5XNZ//uyUZ4yMcd9vdu3aZSSZlStXWvMPHz5s/P393V6X4Fl89IZyad++vXr27Km2bdvq7rvv1ltvvaVjx46dd7mPPvpI3bp1U3h4uIKCgvTss88qIyPDrU1UVJSCg4Ot+xEREdYh7L1796qwsFBdunSx5oeFhVmHv0ukpqbqjjvuUOPGjRUcHKzu3btLUqltde7c2fq7vOs+244dO9yWkaTY2Fjr7xMnTmjv3r0aMmSIgoKCrNuLL76ovXv3SvrtvKHevXtbHx2kp6crJSVFgwYNst3ukiVL1LNnT1155ZUKDg7W4MGDdeTIEZ08efKc9Z5de2RkpCIjI61pMTExCg0N1Y4dO6xp5xoTu/V269bNbVq3bt20e/dut4+ULkS7du2svwMDA+V0Oq2aNm3apG+//dbt8W7VqpUkWY/52TZt2qSkpCS3ZeLj41VcXKz09HT16tVLTZo00dVXX63Bgwfrgw8+qNBjXSIgIEDNmjWz7rtcLkVFRSkoKMht2u8f3/Luz7+3Z88enTx5Ur169XLr07vvvms9Bufbd8tjx44dat++vQIDA61p3bp1U3FxsdLS0pSTk6OsrCxdf/311vw6deqoU6dO513vufahHTt2yNvb2209rVq1cvsCQ8n+3ahRI9v+Pfjgg9q4caOio6P1+OOPa9GiReftc9u2bUudl1SZMSqrz97e3m5jUr9+fUVHR7s9H+FZBCWUS506dbR48WItWLBAMTExev311xUdHa309HTbZUre+G+77TbNnz9fGzZs0DPPPKPCwkK3dj4+Pm73HQ6HiouLy13biRMnFB8fL6fTqQ8++EDr1q3TvHnzJKnUtn7/4n6xlJyr8dZbb2njxo3WbevWrVq9erXVbtCgQfr00091+vRpzZ49W23btlXbtm3LXOe+fft0++23q127dpo7d65SU1M1ffp0SaX7WBUudEwuhnPVlJ+frzvuuMPt8d64caN1vkpZ8vPz9eijj7q137Rpk3bv3q1mzZopODhY69ev14cffqiIiAiNGzdO7du3r/A3zcqq+1x9qcj+fHZ/JOm///2vW5+2b99e6jyly1nHjh2Vnp6uiRMn6tdff9U999xjnXtm5+zXjcqOES5NBCWUm8PhULdu3TRhwgRt2LBBvr6+1ouDr69vqSMHq1atUpMmTfTMM8+oc+fOatGihX766acKbbNZs2by8fHRmjVrrGnHjh3Trl27rPs7d+7UkSNHNHnyZN10001q1arVOY9+VGTdZWndurXbMpLcApDL5VKjRo30448/qnnz5m63pk2bWu369eunU6dOaeHChZo9e/Y5jyalpqaquLhYL7/8srp27aqWLVvqwIEDbm3KGoOyat+/f7/2799vTdu+fbuOHz+umJiYcy57vvWuXLnSbdrKlSvVsmVL1alTp9zrKU8fytKxY0dt27ZNUVFRpR5zu3DcsWNHbd++vVT75s2bW0cPvL29FRcXpylTpmjz5s3at2+fli5dekG1nk959ueS+n6//ZiYGPn5+SkjI6NUf0qOILZu3Vpr1651W9fv993yaN26tTZt2uR20vvKlSvl5eWl6OhohYSEyOVyad26ddb8oqIirV+//rzrPdc+1KpVK505c0apqanW/LS0NLfgWrJ/Hzx48Jz9czqduvfee/XWW2/po48+0ty5c3X06NFyPwaVHaOy+nzmzBm315MjR44oLS3tgp6PqFoEJZTLmjVr9H//93/64YcflJGRoc8++0yHDh1S69atJf32Uc3mzZuVlpamw4cP6/Tp02rRooUyMjI0Z84c7d27V6+99poVrMorKChIQ4YM0ejRo7V06VJt3bpVDz74oLy8/v9dt3HjxvL19dXrr7+uH3/8UV9++WW5rlNSnnWX5YknntA777yjmTNnateuXRo/fry2bdvm1mbChAmaNGmSXnvtNe3atUtbtmzRzJkzNXXqVKtNYGCg+vfvr+eee047duzQfffdZ7vN5s2b6/Tp01Yf33vvPc2YMcOtTVRUlPLz85WcnKzDhw+X+TFRXFyc2rZtq0GDBmn9+vVau3atHnjgAXXv3t3tY8mKeuqpp5ScnKyJEydq165dmjVrlt544w09/fTTFVpPVFSU0tPTtXHjRh0+fFgFBQXlWi4xMVFHjx7Vfffdp3Xr1mnv3r365ptv9NBDD9m+UY0ZM0arVq3S8OHDraNPX3zxhYYPHy5Jmj9/vl577TVt3LhRP/30k959910VFxdbH81GRUVpzZo12rdvnw4fPlxlR9zKsz83adJEDodD8+fP16FDh5Sfn6/g4GA9/fTTevLJJzVr1izt3btX69ev1+uvv65Zs2ZJkh577DHt3r1bo0ePVlpammbPnu32zcLyGDRokOrWrauEhARt3bpV3377rUaMGKHBgwfL5XJJkkaMGKFJkybpiy++UFpamp544gkdO3ZMDofDdr3n24eio6N166236tFHH9WaNWuUmpqqhx9+WP7+/tY64uLi1LJlSyUkJGjTpk367rvv9Mwzz7htZ+rUqfrwww+1c+dO7dq1S5988onCw8PLvAaZncqO0dlatGihfv36aejQofr++++1adMm3X///bryyivVr1+/cteDi8zTJ0nh0rB9+3YTHx9vGjRoYPz8/EzLli3N66+/bs3Pzs42vXr1MkFBQUaS+fbbb40xv52MWb9+fRMUFGTuvfdeM23aNLcTjss6eXfatGmmSZMm1v28vDxz//33m4CAAONyucyUKVNKnUg7e/ZsExUVZfz8/ExsbKz58ssvjSSzYcMGY4z9iZXlWXdZ/va3v5krrrjCBAUFmYSEBPPXv/61VD8++OAD06FDB+Pr62vq1atn/vCHP5jPPvvMrc3XX39tJJk//OEPpbZx9sncU6dONREREcbf39/Ex8ebd999t1SfHnvsMVO/fn0jyYwfP77M9fz000/mj3/8owkMDDTBwcHm7rvvtk7CNaZ8Y1KWTz/91MTExBgfHx/TuHFjt5N5jSnfydynTp0yAwYMMKGhoUaS9Y0n/e5k3BIhISFu34jatWuX+dOf/mRCQ0ONv7+/adWqlRk5cuQ5T9pdu3attd8GBgaadu3amb/97W/GmN9O7O7evbupV6+e8ff3N+3atTMfffSRtWxaWprp2rWr8ff3N5JMenp6mSdzn32CfVmP79lfhjjf/myMMS+88IIJDw83DofD+sZZcXGxeeWVV0x0dLTx8fExDRo0MPHx8Wb58uXWcl999ZVp3ry58fPzMzfddJN55513KnQytzHGbN682fTo0cPUrVvXhIWFmaFDh7qdnH769GkzfPhw43Q6Tb169cyYMWPM3XffbQYOHGi7DWPOvw8dPHjQ9O3b1/j5+ZnGjRubd999t9T+nZaWZm688Ubj6+trWrZsaRYuXFjqZPQOHTqYwMBA43Q6Tc+ePc369etta7L7okplx+js15ejR4+awYMHm5CQEOu5vWvXrnM+TqheDmOM8UA+AwBcJoqLi9W6dWvdc889XJUal5yae1liAMAl6aefftKiRYvUvXt3FRQU6I033lB6err+/Oc/e7o0oMI4RwkAUKW8vLyUlJSk6667Tt26ddOWLVu0ZMkS65xG4FLCR28AAAA2OKIEAABgg6AEAABgg6AEAABgg6AEAABgg6AEAABgg6AEAABgg6AEAABgg6AEAABg4/8BBtTl/PgNYpMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NbGzsI1/z1VdfZdeuXURERHD27FkOHDigG5cTEBCARqNh69at3Lt3Tzcm6Pnnn+eNN95g//79XLp0ibFjxxY69ufw4cMFxjcdPnyY6tWrExgYWGD/0iSFihDCZHzwwQcFftlDbpN4YV0hq1atomnTpvmW7777jgoVKnD8+HG6dOnCf/7zHwIDAxk2bBiBgYGcOnUq3yDFwlhZWTF58mT+7//+L9+luUXt+9VXX/Hf//4XX19fBg4c+ND9P//8c/z8/OjYsSMjR45k+vTpurvUQu4Ax0OHDuHv78+QIUOoW7cuzz//POnp6bi4uAB/XwKs7yXLj9KoUSN+//13QkND6dixI02bNuXdd9/F19cXyC0aV6xYwa+//kq9evWYP38+n332md7HsbS0ZNy4cYV+pp999lmBz3Tbtm3UrFmT06dPU716dd1n+eKLL9KlSxeOHTtWZAtZHg8PD0aPHs17771X6M+YvhYsWIC7uzvt2rWjf//+9OzZk2bNmuXb54MPPuD69esEBgYWq3slJyeHSZMmUbduXXr16kWtWrVYvHgxAJUrV+b9999n5syZVKxYUVc8fvrpp3Ts2JH+/fvTrVs3OnToQPPmzfO97u3bt/njjz8YN25cvvWrV68u9hVJj0OjlPdUe6UoKSkJV1dXEhMTdf8BhRD6SU9PJyIigmrVqpVogOKjBF++TN1/jOf4p3OXLtG0QYOinxseTt1/DLAsqbS0NGrXrs3atWtp27btY7+esVu+fDlz587l8uXL+VpjjEl0dDT169fn7Nmzxb4UXJTMjBkzSEhI4Ntvv9Wt++uvv+jatSuhoaFFdik+7HeLPt/f0qIihDB59vb2/PTTT8VqPjcH27dvZ+7cuUZbpEDu/CfLli17rKtkRPF4e3sX6KKLiorip59+KvNxTyCFihDCTHTu3LncbqL2T3PnzsXJyanQpXfv3uWeB+DXX3/VzYVizAYNGkTHjh3L/bgTJ04s8jOdOHFimR23d+/eRR63LG+4+frrr+suRc/TrVs3evbsWWbH/Ce5PFkIUaYUDdxLjychI5G0nPw36svx0BKTFou7rSs2Fsb71/3DTJw4kWHDhhW67d+Xegrj8MEHHxQ6Zw9QpsMQvv/++yKvJHvUGBtjJoWKEOKhwkJDyc7OLnJ7UdPcJ2cmc+fBHVJdUrmRXMSEUDYQmXKHyJQ7OFk74mPvhZuNaY038/DwMOkvEXPk7e1d7JmOS1PlypXL/ZiGQAoVIQRQ9KydeZcXF+Xf09znaHO48+AOMSkxuSs04GBlj7utKy7WzmjInatCQeHKzXAcPexJzk4lOSuF8KwUKti64+fki5XGsnTemBBCFaVxdRRIoSKE2bO2tkaj0XDv3j28vLwKTHql1WpJT08v4tn5t6dkpnA76TaZ2tzZNd1s3UiLT6N6Zb/cnfM1zGjQpEBV3ypkKtnEpScQl5FAXHYCiakP8HWo+MhjCyEMj6IoZGZmcu/ePSwsLPS+DcS/SaEihJmztLSkSpUq3Lp1q9B5NWLu3n3oqPuYu3exsLQkOTOZuNS43Ne0sKSCfQWyrLO4F3UPq5zCZ/y8FxtLhK2t7rFVjobY9ASytdlEE41lliUWEdKyIoQxcnBwwN/fv9g3jyyKzKMihAByJ4v65z1j8gx/6inW/m/SqMIMf/llhn0wgtn7Z6Og0K9WP9554h1c7Vwf+fwWPXtyeteufOvSs9NZeOl7VoSuA+CVVq8wqdWkkr4tIYQKLC0tsbKyKvK2BPp8f0uLihACyP3FYmlZsPUiJiYGO6uif1X8aXOJzVueBWBSy0l83fvrfL+cHvb8yJs3C2yzs3LivRavYmdlxaxT85h+YDoPtA94r/N7JXhXQghjp/o8Krdv3+bZZ5+lQoUK2Nvb07BhQ06fPq12LCFEMXx35RciGt8Acls+/l2kPI6ZTSbjd7kKAO///j7vHni3VF5XCGFcVC1UEhISaN++PdbW1uzYsYPLly/z+eef4+7urmYsIUQx7L19iP8cngHA1NZT+bLXl6VWpOTxvebDZ91z7wXz4aEP+fH8j6X6+kIIw6dq188nn3yCn58fy5cv162rVq2aiomEEMVxOyWKkfsno6DgGVmBL979otSLlDyvt3udpIwkPjj0AS9te4lmlZrRsGLDMjmWEMLwqNqisnnzZlq0aMHTTz+Nt7e37s6lRcnIyCApKSnfIoQoX1naLIbve4l76XE09qhHtT8DyqxIyfNup3fpEdiDtOw0hq4bSlKG/N8XwlyoWqhcu3aNJUuWULNmTXbt2sVLL73ElClT+PHHwpt3582bh6urq27x8/Mr58RCiJkn53I05hQu1s781u1bLLRl/2vE0sKSX4b8gp+LH2HxYTy/+fkiJ6gTQpgWVQsVrVZLs2bNmDt3Lk2bNuXFF19kwoQJLF26tND9Z82aRWJiom6JjIws58RCmLeNETtY8Gfurd5/7LyQGq7l11Xr6eDJuqfXYW1hzW+Xf+OrE1+V27GFEOpRdYxKpUqVqFevXr51devWZf369YXub2tri+0/JocSQpSfuPR4XjzyJgDTG01kUNVe5Z6hTZU2fN7jc6bsnMLMfTPZOH896bcLv0kbQAVPT7bt2FGOCYUQpU3VQqV9+/aEhITkWxcaGkpAQIBKiYQQRZlxci6x6fE0cK/Dxy1mqJZjcqvJbAndwp5rezhX5QL3F10ucoxMm4EDyzmdEKK0qdr189prr3H8+HHmzp1LeHg4q1at4ttvv2XSJJmFUghDcijqOMtCVgPw347zsbF8vHt3PA6NRsOSvkuws7IjySuJ1Vc3qZZFCFH2VC1UWrZsycaNG1m9ejUNGjTgww8/ZOHChYwaNUrNWEKIf9BaaPnPkdwWlBfrjKJdxZYqJ4JAj0Bmd5wNwGvH3yMh4766gYQQZUb1mWn79evHn3/+SXp6OsHBwUyYMEHtSEKIf4iqHs2V++F423syv9VbasfReaP9G9g9sONuWiwzT85VO44QoozIvX6EEEUKiwvjds0oAL5o8x7utm4F9gkNDaVNy6JbWcJCQ8skm42lDdX+DCC4XQjfXvmF0TWfpr2P+q09QojSJYWKEKJIM/fNRLFU6F75CUYEDip0n5zsbI4HBRX5Gq41a5b4+I8qgmJCo3h+3AiWhazmtePvcWLg1jKffE4IUb6kUBFCFOrk7ZNsCN4ASm5rihoFQHGKoI9bzGDN1SBO3TvPxus7GFKtTzkmFEKUNdXHqAghDNNb+3LHo3jeqkB9j9oqpylaRQcvpjV8EYC3T39CtjZb5URCiNIkhYoQooC91/ayL2IfNpY2VAn1VTvOI73e6D9UsHXnyv1wfg4rfMJIIYRxkkJFCJGPoijM2jcLgJdavIRtmuHPBu1q48JbTV4BYM6Zz0jPTlc5kRCitEihIoTIZ0PwBk7fOY2TjRNvdTScy5Ef5eV6Y6jiWInIlDssCf5J7ThCiFIihYoQQidbm83b+98GYFqbaXg7equcqPjsrOx4r9nrAHx87iuSMh+onEgIURqkUBFC6Kz7ax0hcSFUsK/A6+1eVzuO3sbUepo6bjWIy0hg8eUf1Y4jhCgFUqgIIYDcsSmfHP0EgNfavIaLrYvKifRnZWGlG6uy8NL3aC20KicSQjwuKVSEEADsDN/JxZiLONk48XLLl9WOU2LPBA7E36kyMWn3uFclTu04QojHJIWKEAJA15ryYrMXcbd3VzlNyVlbWOvmVYkKjCZHm6NyIiHE45BCRQjB8VvH+f3G71hbWPNa29fUjvPYXqg9Eg9bNzIcM3Jn1xVCGC0pVIQQutaUZxs9SxWXKiqneXyO1g68Un88APOPzkdRFJUTCSFKSgoVIczcldgrBF3JvZ/OG+3eUDlN6ZlcfxwWORacjTrLvoh9ascRQpSQFCpCmLlPj36KgsLA2gOp61VX7TilxtPOA6+bnsDfLUZCCOMjhYoQZuxuyl1W/rkSgBntZ6icpvRVulYRS40le6/t5c+YP9WOI4QoASlUhDBj35/9nsycTFpVbkVbv7Zqxyl1tmm2DK47GIBFpxapnEYIURJSqAhhprK12Sw9vRSASS0nqZym7OS9t5UXV5KYnqhyGiGEvqRQEcJMbQ3dSmRSJJ4OngyrP0ztOGWmU0An6nvVJyUrhR8vyLT6QhgbKVSEMFN5XSHPN30eOys7ldOUHY1Go5tpd/GpxXKpshBGRgoVIcxQSGwIe6/tRYOGiS0mqh2nzD3X6DmcbZwJiQuRS5WFMDJSqAhhhhafWgxA/9r9qepWVd0w5cDZ1pkxjccAMqhWCGMjhYoQZiY5M5kVF1YApj2I9t/yun82h2zmZuJNldMIIYpLChUhzMzKiytJykiipkdNulXvpnacclPXqy5dq3VFq2h1VzsJIQyfFCpCmJlvz3wLwEstXsJCY16/AvJakH449wNZOVkqpxFCFIeV2gGEEOXnXNQ5zkWfw8bShtGNRwPQt3dv4mJji3xOWGhoecUrc/1r9cfb0ZuYlBh2hO9gQO0BakcSQjyCFCpCmJHl55cDMKjOICo4VAAgLjaW40FBRT7HtWbNcslWHqwtrRndaDSfHfuMH879IIWKEEbAvNp9hTBj6dnprLyYe1+f8U3Gq5xGPeOb5r73raFbiU6OVjmNEOJRpFARwkwEXQkiIT0BPxc/sxpE+291verStkpbcpQcfr7ws9pxhBCPIIWKEGZi2bllAIxtMhZLC0uV06grr1Vl2bllMlOtEAZOChUhzMCN+zfYe20vkFuomLth9YfhYO1ASFwIx24dUzuOEOIhpFARwgz8eOFHFBS6VutKdffqasdRnYuti+5GjD+c+0HlNEKIh5FCRQgTp1W0uqt9zHkQ7b/lnYu1f60lOTNZ5TRCiKJIoSKEiTsQcYDr96/jauvKkLpD1I5jMDr4d6CmR02SM5P59a9f1Y4jhCiCFCpCmLifL+Ze2fJMg2ewt7ZXOY3h0Gg0uvE6eedICGF4pFARwoSlZqWyPng9AM81ek7lNIZnVMNRABy8fpBbSbdUTiOEKIwUKkKYsC0hW0jOTKaqW1Xa+bVTO47BCXALoKN/RxQUVv+5Wu04QohCSKEihAlb+WfuTLSjGo5Co9GonMYwPdvoWeDvcyWEMCxyrx8hTFRsaiw7w3cCf3dxmJvQ0FDatGxZ6LYKnp5s27GDp+o9xeTtk7kYc5E/Y/6kYcWG5ZxSCPEwUqgIYaLW/bWObG02zSo1Y/roaUXeIdmU7o78bznZ2UXecLHNwIEAeNh70LdWXzZd2cQvf/7C/IrzyzOiEOIRpFARwkTl3YDw2YbPsva7VUV+YZvS3ZFL6tmGz7LpyiZW/bmKuU/OxUIjveJCGAr53yiECbqWcI1jt45hobHgmQbPqB3H4PWt1RdXW1cikyI5fOOw2nGEEP8ghYoQJuiXi78A8GS1J6nkXEnlNIbPzsqOp+o9BfzdEiWEMAyqFirvvfceGo0m31KnTh01Iwlh9BRF0V3BkndFi3i0vHP16+VfSc9OVzmNECKP6i0q9evXJyoqSrccOXJE7UhCGLVz0ecIjQvFzsqOwXUGqx3HaDwR8ARVXKqQmJHIjrAdascRQvyP6oWKlZUVPj4+usXT01PtSEIYtbWX1gLQr1Y/nG2dVU5jPCw0Fgyrl3tH5XWX16mcRgiRR/WrfsLCwvD19cXOzo62bdsyb948/P39C903IyODjIwM3eOkpKTyiimEQevbuzdxsbEoKFzo+ic4wPmfz9Lm/3LnEDHlS5BL0/AGw1lwfAFbQraQmpWKg7WD2pGEMHuqtqi0bt2aFStWsHPnTpYsWUJERAQdO3bkwYMHhe4/b948XF1ddYufn185JxbCMMXFxnI8KIivv3ufDIdMHK0cuPDNbo4HBXE8KIjs7Gy1IxqFlr4tqepWlZSsFLaHbVc7jhAClQuV3r178/TTT9OoUSN69uzJ9u3buX//PuvWFd7sOmvWLBITE3VLZGRkOScWwrCtu7YFgP4B3XGwkjsl60uj0fzd/fOXdP8IYQhUH6PyT25ubtSqVYvw8PBCt9va2uLi4pJvEULk0ipaXaEyvPoAldMYr+ENhgOwNXQryZnJKqcRQhhUoZKcnMzVq1epVEnmfRBCX8fvniEy5Q7O1k70qtJZ7ThGq6lPUwLdA0nLTmNr6Fa14whh9lQtVKZPn87vv//O9evX+eOPPxg8eDCWlpaMGDFCzVhCGKW81pSBAT2ws7JTOY3x0mg0DK+f26oi3T9CqE/VQuXWrVuMGDGC2rVrM2zYMCpUqMDx48fx8vJSM5YQRkdB4ddr2wAYVr2/ymmM37D6ueNUtodtJylDri4UQk2qXp68Zs0aNQ8vhMl44JHMndRoXG1c6FGlk9pxjF6jio2oXaE2IXEhbAnZwqhGo9SOJITZUn0eFSHE44v3jQdgcNVe2FraqpzGOISGhtKmZcsit+c0yYYqsPavtVKoCKEiKVSEMHJaRUu8z31Aun30kZOdzfGgoCK3NxrVA6rArqu7SExPxNXOtRzTCSHySKEihJH7I/IPsuyycLVx4UnfDmrHMRm3zkZi19yOdOd0mg9viuedCvm2V/D0ZNsOuSeQEGVNChUhjNz6y+sBGODfHRtLG5XTmI6c7Gxe7/giH5//isZD6rK++3f5trcZOFClZEKYF4OaR0UIoR9FUdhwZQMAQ6v1VTmN6ck7pzsi95OanaZyGiHMkxQqQhixM1FnuJl4E4tsC3pUeULtOCanSYX6VHXyIy0nnZ2RB9SOI4RZkkJFCCOW1+3jdtcVe7m3T6nTaDQMrdYHgPURcpNCIdQghYoQRkpRFNYH5xYqHlHuKqcxXXmFytabe8nIyVA5jRDmRwoVIYzUpbuXCIsPw9bSFre7culsWWnt3QxfBx+Ssh6w9/ZhteMIYXakUBHCSG0Izh1E2yOwB5Y5liqnMV0WGgsGV+0FwIYIuRxZiPImhYoQRiqv22do3aEqJzF9ed0/QTd2ka3NVjmNEOZFChUhjFBYXBh/3v0TKwsrBtQeoHYck9fRpzWedh7EZSTwe9QxteMIYVakUBHCCOV1+3St1hV3exlIW9asLKwYFJDb/SNX/whRvqRQEcIIbbyyEYDBdQarnMR8DKnWG4CgG7vRKlqV0whhPqRQEcLI3HlwhxO3T6BBw8DaMo17eenq2x5nayfupEZz+t4FteMIYTakUBHCyGwO2QxAmyptqORcSeU05sPW0pY+fl0B2HRjp8pphDAfUqgIYWQ2XdkEwKA6g1TNYY4G/e8y5U3Xd6mcRAjzIYWKEEYkMT2R/RH7ASlU1NDbrwvWFtYE3w8jzTFd7ThCmAUpVIQwIjvCd5ClzaKuZ11qVaildhyz42rjQlff9gAk+CSonEYI8yCFihBGRLp91DcooCcACRXvqxtECDMhhYoQRiIjO4PtYblzeEihop4BAT0ASHZPIepBlMpphDB9ehcqBw4cKIscQohHOHD9AA8yH+Dr7EsL3xZqxzFbvo4+tPZuChrYErpF7ThCmDy9C5VevXoRGBjIRx99RGRkZFlkEkIUIq/bZ2DtgVhopDFUTXmz1OZ9JkKIsqP3b7vbt28zefJkfvvtN6pXr07Pnj1Zt24dmZmZZZFPCAFoFS1BIUGAdPsYgrzLlPdF7CMpI0nlNEKYNr0LFU9PT1577TXOnz/PiRMnqFWrFi+//DK+vr5MmTKFCxdkxkYhSluHYe2JTo7GMsuS2SNm0aZly3xLWGio2hHNSh23Gtgl25GZk8mOsB1qxxHCpFk9zpObNWuGj48PFSpUYP78+fzwww8sXryYtm3bsnTpUurXr19aOYUwazdsrwPwVO2+rHl5SYHtrjVrlnMi4R7tRlSNaLaEbmF4g+FqxxHCZJWoozsrK4vffvuNPn36EBAQwK5du/jmm2+IiYkhPDycgIAAnn766dLOKoTZSvC5D8DA/10aK9TnHuMKwLawbWTlZKmcRgjTpXeLyiuvvMLq1atRFIXnnnuO//u//6NBgwa67Y6Ojnz22Wf4+vqWalAhzFV4fDhpzulYaazo5ddZ7Tjif+6cvINVCyvuc59GfRvgGueSb3sFT0+27ZBuISEel96FyuXLl/n6668ZMmQItra2he7j6ekplzELUUq2hOReAvtEpda427qpG0boaLNyeLbhEFaErqPXhCf4ou37+ba3GSh3thaiNOhdqMyZM4d27dphZZX/qdnZ2fzxxx888cQTWFlZ0alTp1ILKYSp69u7N3GxsYVuu9wmBDyl28cQDQzoyYrQdQTd2M2CNu+h0WjUjiSEydG7UOnSpQtRUVF4e3vnW5+YmEiXLl3IyckptXBCmIu42FiOBwUVWB+fnoD3ysagQH//7iokEw/TvfIT2FraEvHgJpcTQqnvUVvtSEKYHL0H0yqKUuhfDXFxcTg6OpZKKCFErh23DpCj5GBxV0M1F3+144h/cbR2oJtvBwA239ytchohTFOxW1SGDBkCgEajYezYsfnGp+Tk5HDx4kXatWtX+gmFMGObb+R++VmFW6qcRBRlQEAPtkXuY/ON3cxq8oracYQwOcUuVFxdcy/FUxQFZ2dn7O3tddtsbGxo06YNEyZMKP2EQpipjJwMdkTmDkq3lkLFYPXz7wbAibvniE69i4+D9yOeIYTQR7ELleXLlwNQtWpVpk+fLt08QpSx36OO8yArGR97b1KiH6gdRxTB19GHll5NOHXvPFtv7uWFOiPVjiSESdF7jMqcOXOkSBGiHOR1+/QP6I4GuZrEkA3430DnvM9MCFF6itWi0qxZM/bt24e7uztNmzZ96CV4Z8+eLbVwQpgrRVF0X3oD/Luzlo0qJxIPMyCgB++c+ZQ9tw+Tmp2Gg5X9o58khCiWYhUqAwcO1A2eHTRoUFnmEUIAF+L/IjLlDvaWdjxZuYPaccQjNPSoS4BTFW4k32Lv7cMMCOihdiQhTEaxCpU5c+YU+m8hRNnYemMvAN0qd8Re/jo3eBqNhn7+3Vh0eQVbb+6VQkWIUqT3GJXIyEhu3bqle3zy5EleffVVvv3221INJoQ523Izt1DpHyCTvBmLvAn5tt7ci1bRqpxGCNOhd6EycuRI3X18oqOj6datGydPnuTtt9/mgw8+KPWAQpib6NS7nLx3Dvj70ldh+Dr7tsXJ2pGo1BjOxv6pdhwhTIbehcqlS5do1aoVAOvWraNhw4b88ccf/PLLL6xYsaK08wlhdrbd3AdAC8/GVHKoqHIaUVy2lrb0qJx7j7MtN/eonEYI06F3oZKVlaUbWLt3714GDBgAQJ06dYiKiirddEKYobwvOen2MT79A3JbwLbckEJFiNKid6FSv359li5dyuHDh9mzZw+9evUC4M6dO1SoUKHUAwphTtKz09lz+xAg3T7GqI/fk2jQcC7uEpl2mWrHEcIk6F2ofPLJJ/z3v/+lc+fOjBgxgsaNGwOwefNmXZdQScyfPx+NRsOrr75a4tcQwtgdiPqD1Ow0Kjv60LRCA7XjCD1523vS2rspAAneiSqnEcI0FHsK/TydO3cmNjaWpKQk3N3ddetffPFFHBwcShTi1KlT/Pe//6VRo0Yler4QpiKvy6CfX7eHTqwoDFd//+4cv3uW+xXvqx1FCJOgd4sKgKWlZb4iBXLvAeTtrf/NuJKTkxk1ahTfffddgdcUwpwoisJWuSzZ6OV9domeSaRmpaqcRgjjp3ehEhMTw3PPPYevry9WVlZYWlrmW/Q1adIk+vbtS7duj+6Pz8jIICkpKd8ihKn452y0XX3bqx1HlFAD9zoEOFVBsVTYe22v2nGEMHp6d/2MHTuWmzdv8s4771CpUqXHap5es2YNZ8+e5dSpU8Xaf968ebz//vslPp4Qhiyv26d7lSdkNlojptFo6O/fnW8uL2dLyBYG1B6gdiQhjJrehcqRI0c4fPgwTZo0eawDR0ZGMnXqVPbs2YOdnV2xnjNr1iymTZume5yUlISfn99j5RDCUGz93/wpcrWP8esfkFuobA3bilbRYqEpUS+7EIISFCp+fn4oivLYBz5z5gx3796lWbNmunU5OTkcOnSIb775hoyMjAJdSba2tro5XIQwJVk2WZy9dwGQQsUUdKrUBotsC6KTozkXdY7mvs3VjiSE0dK7zF+4cCEzZ87k+vXrj3XgJ598kj///JPz58/rlhYtWjBq1CjOnz9fovEuQhirhIq5l7LKbLSmwdbSFtd7LgBsDd2qchohjJveLSrDhw8nNTWVwMBAHBwcsLa2zrc9Pj6+WK/j7OxMgwb554lwdHSkQoUKBdYLYerue98HpDXFlLjHuJFQ6T5bQrcwp7PcdV6IktK7UFm4cGEZxBDCfGVkZ5DolXsFmxQqpsPtrisaNJyJOsOdB3fwdfZVO5IQRknvQmXMmDFlkQOAgwcPltlrC2GoDl4/iNZKi6+DD808G6odR5QS60xrWlVuxYnbJ9getp0Xmr2gdiQhjFKJhqJfvXqV2bNnM2LECO7evQvAjh07+Ouvv0o1nBDmIG8MQ1//J2U2WhPTr1Y/QMapCPE49C5Ufv/9dxo2bMiJEyfYsGEDycnJAFy4cIE5c6QfVgh9KIrC1rDcLzHp9jE9eYXKnmt7SM9OVzmNEMZJ70Jl5syZfPTRR+zZswcbGxvd+q5du3L8+PFSDSeEqfvr3l9cv38dTY6GJ307qB1HlLLGFRtTxaUKqVmpHIg4oHYcIYyS3oXKn3/+yeDBgwus9/b2JjY2tlRCCWEu8roEXGNdcLQu2U09heHSaDT0qyndP0I8Dr0LFTc3N6KiogqsP3fuHJUrVy6VUEKYi7wvL7e7rionEWVFN04lbGupTJYphLnRu1B55plnmDFjBtHR0Wg0GrRaLUePHmX69OmMHj26LDIKYZJiU2M5dusYAG4xUqiYqq7VumJvZc/NxJv8efdPteMIYXT0LlTmzp1LnTp18PPzIzk5mXr16vHEE0/Qrl07Zs+eXRYZhTBJO8J2oFW0NKrYCNt0uTWEqbK3tufJ6k8CsCVki8pphDA+ehcqNjY2fPfdd1y9epWtW7eycuVKrly5ws8//yzT3guhB93VPv8bwyBMV/9a/QHYFrZN5SRCGB+9J3zL4+/vj7+/f2lmEcJsZOVksTN8JwD9a/dnH7tVTiTKUt+afQE4fus4d1Pu4u3orXIiIYxHsQqVadOmFfsFFyxYUOIwQpiLwzcPk5SRhJeDFy19W6odR5Sxyi6VaerTlHPR59gRtoMxTcpuhm8hTE2xCpVz587le3z27Fmys7OpXbs2AKGhoVhaWtK8udzKXIji0M1GW6svlhbSZWoO+tfqz7noc2wN2yqFihB6KFahcuDA3xMVLViwAGdnZ3788Ufc3d0BSEhIYNy4cXTs2LFsUgphYvIKFRmfYj761erHB4c+YFf4LjJzMrGxtHn0k4QQ+o9R+fzzz9m9e7euSAFwd3fno48+okePHrz++uulGlAIU9C3d2/i/jchYppjOmFdwtBoNcx7/mM+zZ5PWGioyglFWWvu2xwfJx+ik6M5dOMQ3arLLROEKA69r/pJSkri3r17Bdbfu3ePBw8elEooIUxNXGwsx4OCOB4UxOiZuTM7d/PryOn1WzkeFER2drbKCUVZs9BY6AbVyiy1QhSf3oXK4MGDGTduHBs2bODWrVvcunWL9evX8/zzzzNkyJCyyCiESdl6cy8gNyE0R3mz1G4J3SKz1ApRTHp3/SxdupTp06czcuRIsrKycl/Eyornn3+eTz/9tNQDCmFK7mckcjj6JCCFijnqVr0bNpY2XEu4xpXYK9T1qqt2JCEMnt4tKg4ODixevJi4uDjOnTvHuXPniI+PZ/HixTg6OpZFRiFMxq5bB8lRcqjnVovqLgFqxxHlzMnGia7VugLS/SNEcZV4wjdHR0caNWpUmlmEMHlbpNvH7PWr2Y+d4TuZt2Ee619dV+g+FTw92bZjRzknE8IwlbhQEULoJ1ubzY7I/YAUKuasX61+TN4xmQTnBLavXYGHnXuBfdoMHKhCMiEMk95dP0KIkjkWc4b4jPu427rRtqJMjmiuAtwCaOjdEDSw49aBRz9BCDMnhYoQ5STvap8+fl2xspDGTHOWd/VP3s+EEKJoehcqKSkpZZFDCJO35eYeAPpLt4/Zy7ub8o7IA2Rps1ROI4Rh0/vPuooVKzJs2DDGjx9Phw4dyiKTECYn3SGd4PthWGms6Fmls9pxRDkIDQ2lTcvCbzipoKDpqiGRJI5En6SLb/tyTieE8dC7UFm5ciUrVqyga9euVK1alfHjxzN69Gh8fX3LIp8QJiGhYiIAHX1a4WbrqnIaUR5ysrM5HhRU5HabKf5kNcxhy409UqgI8RB6d/0MGjSITZs2cfv2bSZOnMiqVasICAigX79+bNiwQaYCF6IQ9yveB6B/QHd1gwiDYXU1967ZMk5FiIcr8WBaLy8vpk2bxsWLF1mwYAF79+7lqaeewtfXl3fffZfU1NTSzCmE0UpMT+SBRzIA/f2lUBG5rK5bYmNhQ1hSBCH3w9WOI4TBKnGhEhMTw//93/9Rr149Zs6cyVNPPcW+ffv4/PPP2bBhA4MGDSrFmEIYr11Xd6FYKNRxq0EN12pqxxEGQpOpoXOltsDfEwEKIQrSe4zKhg0bWL58Obt27aJevXq8/PLLPPvss7i5uen2adeuHXXryj0shIDcG9CBTPImCurn343dt39ny409TG80Ue04QhgkvVtUxo0bh6+vL0ePHuX8+fNMnjw5X5EC4Ovry9tvv11aGYUwWtnabLaHbQek20cUlDdm6WjMKeLTE1ROI4Rh0rtFJSoqCgcHh4fuY29vz5w5c0ocSghj1Ld3b+JiY/OtS/J4QHy7eDTp0K5iC5WSCUNV1dmPBu51uJRwhZ23DjKyxmC1IwlhcPQuVJydnYmKisLb2zvf+ri4OLy9vcnJySm1cEIYk7jY2AKXo7554iOCL4ZgddVSZqMVheof0I1LCVfYcnOPFCpCFELvrh9FUQpdn5GRgY2NzWMHEsKU5M1Gm3cpqhD/ltclKLPUClG4Yv+J99VXXwGg0Wj4/vvvcXJy0m3Lycnh0KFD1KlTp/QTCmGkwhKvceV+OFYaK6wipFARhWvl1RQvuwrcS4+TWWqFKESxC5UvvvgCyG1RWbp0KZaWf//itbGxoWrVqixdurT0EwphpLbcyG1N6VSpDacyzqqcRhgqSwtL+vl3Y3noWjbf2C2FihD/UuxCJSIiAoAuXbqwYcMG3N3dyyyUEKYgr9tnQEAPTiGFiijagIAeLA9dS9CN3Sxo857acYQwKHqPUTlw4IAUKUI8Qnx6AoejTwJyWbJ4tO6Vn8DW0paIBze5nBCqdhwhDEqxWlSmTZvGhx9+iKOjI9OmTXvovgsWLCiVYEIYsx23DpCj5NDAvQ7VXPzVjiMMnKO1A0/6tmd75H5dS5wQIlexCpVz586RlZWl+3dRNBpN6aQSwshtvrEbgAFyE0JRTAMCerA9cv//fnbkd6kQeYpVqBw4cKDQfwshCsrMyWRHZO7/kwEBPVROI4xF3i0Wjt89S1ObRiqnEcJwlPimhEKIwv0edZwHWclUtPeipVcTteMII1HZsRItPBujoJBQMVHtOEIYjGK1qAwZMqTYL7hhw4YShxHCFOSNMejv3x0LjfwtIIpvQEB3Tsde4H7F+2pHEcJgFKtQcXV1LescQpgERVFkfIoosQEBPXj3zGckeiWRlpWGvbW92pGEUF2xCpXly5eXdQ4hTMKf8cHcSL6FnaUdT1buqHYcYWQaedTDz9GXyJQ77IvYR79a/dSOJITqpF1aiFKU15rSvXJHHKzkr2GhH41GoxuAHXQl6BF7C2EeitWi0qxZM/bt24e7uztNmzZ96GXIZ8/KDJzCfAXpun3kah9RMgMCerDo8gq2hm1Fq2hlnJMwe8UqVAYOHIitrS0AgwYNKrWDL1myhCVLlnD9+nUA6tevz7vvvkvv3r1L7RhClJcMu0zOx15Eg0ZmoxUl1rlSWyyzLIlOjubk7ZO0qdJG7UhCqKpYhcqcOXMK/ffjqlKlCvPnz6dmzZooisKPP/7IwIEDOXfuHPXr1y+14whRHvKu1GhbsTkVHbzUDSOMlo2lDW53XYmrHM+mK5ukUBFmr9g3Jfy306dPExwcDEC9evVo3ry53q/Rv3//fI8//vhjlixZwvHjxwstVDIyMsjIyNA9TkpK0vuYQpSVhP8VKgMDeqobRBg99xg34irHExQSxPxu89WOI4Sq9C5Ubt26xYgRIzh69Chubm4A3L9/n3bt2rFmzRqqVKlSoiA5OTn8+uuvpKSk0LZt20L3mTdvHu+//36JXl+IspSYnkiS5wMABkmhIh6T610XrC2suRJ7hZDYEGp71lY7khCq0XuU1gsvvEBWVhbBwcHEx8cTHx9PcHAwWq2WF154Qe8Af/75J05OTtja2jJx4kQ2btxIvXr1Ct131qxZJCYm6pbIyEi9jydEWdgRvgPFQqGOWw1quQWqHUcYOatsK7pU6wJAUIhc/SPMm96Fyu+//86SJUuoXfvvCr927dp8/fXXHDp0SO8AtWvX5vz585w4cYKXXnqJMWPGcPny5UL3tbW1xcXFJd8ihCHYdGUTAIMCeqkbRJiMQbUHAX//bAlhrvQuVPz8/HR3Uv6nnJwcfH199Q5gY2NDjRo1aN68OfPmzaNx48Z8+eWXer+OEGrJyM5ge9h2AAbKZcmilAyoPQCA47eOE50crXIaIdSjd6Hy6aef8sorr3D69GndutOnTzN16lQ+++yzxw6k1WrzDZgVwtAdvH6QB5kPsE63ppV3U7XjCBNR2aUyLX1boqCwJWSL2nGEUE2xBtO6u7vnm+QtJSWF1q1bY2WV+/Ts7GysrKwYP368XvOszJo1i969e+Pv78+DBw9YtWoVBw8eZNeuXfq9CyFUlNc07x7jKpNziVI1sPZATt05xaaQTUxoPkHtOEKooliFysKFC8vk4Hfv3mX06NFERUXh6upKo0aN2LVrF927y2RZwjhoFS2bQzcD4B7trnIaYSpCQ0Np07IlqU5p0Bl2XNlByzbNsMyxBKCCpyfbduxQN6QQ5aRYhcqYMWPK5ODLli0rk9cVorycvnOaOw/u4GTjhEucs9pxhInIyc7meFAQiqJQc10HriZdZ8ZnE3mqeu5NCtsMHKhyQiHKz2O1U6enp5OUlJRvEcKc5HX79K7RGwutdPuI0qXRaHTz8my6IV3iwjzp/Zs1JSWFyZMn4+3tjaOjI+7u7vkWIczJhuANAAyuM1jlJMJUDa6ae++zrTf3kpmTqXIaIcqf3oXKm2++yf79+1myZAm2trZ8//33vP/++/j6+vLTTz+VRUYhDFLwvWBC4kKwsbShb62+ascRJqptxeb42HuTmJnEgTt/qB1HiHKnd6GyZcsWFi9ezNChQ7GysqJjx47Mnj2buXPn8ssvv5RFRiEMUl5rSrfq3XCxlckHRdmw0FgwqGpu98+G69tVTiNE+dO7UImPj6d69eoAuLi4EB8fD0CHDh1KNDOtEMaib+/etGnZUrfM3TgXgODf/qJNy5aEhYaqnFCYqrzun003dpGjzVE5jRDlS++bElavXp2IiAj8/f2pU6cO69ato1WrVmzZskV3k0IhTFFcbCzHg3Lvu3LjwS2qrmmNhcaC459uxtveE9eaNVVOKExV50ptcbNx5W5aLMfunlE7jhDlSu8WlXHjxnHhwgUAZs6cyaJFi7Czs+O1117jjTfeKPWAQhiijddz57Do6NMab3tPldMIU2djaUN//24AbIiQ7h9hXvRuUXnttdd0/+7WrRvBwcGcPXuWGjVq0KhRo1INJ4Sh2nh9JwCDq8pNCEX5GFy1Nz+Hr2fj9Z144612HCHKjd6Fyr9VrVqVqlWrlkIUIYzD3bRYDkefAP4eOyBEWevp1xl7SzuuJ0fi5CKTCwrzUaIZqvbt20e/fv0IDAwkMDCQfv36sXfv3tLOJoRB2nxjNwoKLTwb4+9UWe04wkw4WNnT268rAAk+CSqnEaL86F2oLF68mF69euHs7MzUqVOZOnUqLi4u9OnTh0WLFpVFRiEMyob/jU+Rbh9R3vJ+5uKlUBFmRO+un7lz5/LFF18wefJk3bopU6bQvn175s6dy6RJk0o1oBCGJDEziX23jwAwpFofldMIc9PPvxtWGivSXNIJjQulVoVaakcSoszp3aJy//59evUq+Jdkjx49SExMLJVQQhiqLTf2kKnNpI5bDeq41VA7jjAzbrauPFm5AwC/Xf5N5TRClA+9C5UBAwawcePGAuuDgoLo169fqYQSwlD9FrENgKeryc+6UMdT1XJv1yCFijAXxer6+eqrr3T/rlevHh9//DEHDx6kbdu2ABw/fpyjR4/y+uuvl01KIQxAjmUOO28dBODp6lKoCHUMqtqLCb+/wbnoc1yNv0qgR6DakYQoU8UqVL744ot8j93d3bl8+TKXL1/WrXNzc+OHH35g9uzZpZtQCAORUPE+GTkZ1HKtTgP3OmrHEWbK084Dlzhnkrwe8Nvl35jRYYbakYQoU8UqVCIiIso6hxAGL75S7pUWT1Xri0ajUTmNMGceUR65hUqwFCrC9JVoHpU8iqKgKEppZRHCYCVnJnPfO3ewuHT7CLV5RLthobHg9J3TXL9/Xe04QpSpEhUqP/30Ew0bNsTe3h57e3saNWrEzz//XNrZhDAY28O2o1gqBLpUpbFHfbXjCDNnnWlNp4BOgAyqFaZP70JlwYIFvPTSS/Tp04d169axbt06evXqxcSJEwuMZRHCVOR9GUi3jzAUT9V7CpBCRZg+vSd8+/rrr1myZAmjR4/WrRswYAD169fnvffey3fTQiFMQWpWKtvC5LJkYViG1B3C5O2TOXH7BDcTb+Lv6q92JCHKhN4tKlFRUbRr167A+nbt2hEVFVUqoYQwJDvCdpCalYptqg3NPBuqHUcIAHycfOgY0BGA9ZfXq5xGiLKjd6FSo0YN1q1bV2D92rVrqVmzZqmEEsKQ/Bac27TuEeUu3T7CoDxVN7f759fLv6qcRIiyo3fXz/vvv8/w4cM5dOgQ7du3B+Do0aPs27ev0AJGCGOWmpXKlpAtQG6hIoQhGVJ3CFN3TuXYrWNEJkbi5+qndiQhSp3eLSpDhw7l5MmTeHp6smnTJjZt2oSnpycnT55k8ODBZZFRCNVsC91GSlYKVd2q4njfUe04QuRT2aWyrvtn3V/yh6IwTXoVKllZWYwfPx53d3dWrlzJmTNnOHPmDCtXrqRp06ZllVEI1az5aw0Aw+sPR4N0+wjDM7z+cODvn1UhTI1ehYq1tTXr18ugLWEekjKS2B62HYBnGjyjchohCvdUvad0k79djb+qdhwhSp3eXT+DBg1i06ZNZRBFCMOyOWQz6dnp1KpQi8YVG6sdR4hCeTt607VaVwDW/rVW5TRClD69B9PWrFmTDz74gKNHj9K8eXMcHfP320+ZMqXUwgmhpjWXcpvSn6n/jFztIwzaM/WfYe+1vay5tIa3Or6ldhwhSpXehcqyZctwc3PTjU/5J41GI4WKMAnxafHsvrobgOENhqucRoiHG1x3MBO3TeTPu39y+d5l6nnVUzuSEKVG70JF7qQszMHG4I1kabNo6N1QfukLg+dh70HPwJ5sC9vG2ktreb/L+2pHEqLU6F2o/FPenZOlWVyYgr69exMXGwtAcOtQ8IKEQ/G0+aElAGGhoWrGE+KhnmnwTG6h8tda3uv8nvxeFiajRHdPXrZsGQ0aNMDOzg47OzsaNGjA999/X9rZhChXcbGxHA8KYvOaZSR7JwNwcM46jgcFcTwoiOzsbJUTClG0AbUHYGtpS0hcCBdiLqgdR4hSo3eLyrvvvsuCBQt45ZVXaNu2LQDHjh3jtdde4+bNm3zwwQelHlKI0vDPFpPC5LWYrI/YhlbR0sKzMYEuVcspnRCPx8XWhb61+rIheANrLq2hiU8TtSMJUSr0LlSWLFnCd999x4gRI3TrBgwYQKNGjXjllVekUBEGK6/FpCiu/7tX1S/hGwEYHjigXHIJoa/Q0FDatGxZYH1cpXhoDl/u/5K5T87FQlOiRnMhDIrehUpWVhYtWrQosL558+bSNC6MXkTSTY7GnEKDhhGBA9WOI0ShcrKzCy2607LTqLiyCQ9I5ujNo7rp9YUwZnqX28899xxLliwpsP7bb79l1KhRpRJKCLWsuprbmtLFtx2VHSupnEYI/dhb2TO0Wh8AVl5cqXIaIUpHia76WbZsGbt376ZNmzYAnDhxgps3bzJ69GimTZum22/BggWlk1KIcqCgsDJ8AwDP1hiqchohSubZGkNYEbqOZceXce7D01goBf8ereDpybYdO1RIJ4T+9C5ULl26RLNmzQC4ejX3vhKenp54enpy6dIl3X5yaZwwNtqKClfuh2NnaceQar3VjiNEiXSu1A7NAw05zjm8vXAyA6v2LLBPm4HSrSmMh96FyoEDB8oihxCqy6qXO8aqv383XG1cVE4jRMlYWlhiHWxJZqtsVoavL7RQEcKYyJBwIYAcbQ5ZdXMAeLamdPsI42Z9Ofdv0C0395KYmaRyGiEejxQqQgAHoo6iOCl42LrRq0pnteMI8Vgs7mqo51aLjJwM1kdsVzuOEI9FChUhgJVhuYNoh1Xvj42ljcpphHg8GjQ8W3MIAL/8b4C4EMZKChVh9lKz09hwPfcKiFE1hqicRojSMTJwMAAH7vzB7ZQoldMIUXKqFirz5s2jZcuWODs74+3tzaBBgwgJCVEzkjBDm2/s5kFWMppEDe0qFpzMUAhjFOBchY4+rVFQdLMtC2GMVC1Ufv/9dyZNmsTx48fZs2cPWVlZ9OjRg5SUFDVjCTOzInQdANZ/WcqU48KkjK75FAA/hv6qu9u9EMamRBO+lZadO3fme7xixQq8vb05c+YMTzzxRIH9MzIyyMjI0D1OSpLR7OLx3E6JYs/tQwDYXFL1v4MQpe7p6v2Y8sc7XL4fyunYC7T0aqJ2JCH0ZlB/PiYmJgLg4eFR6PZ58+bh6uqqW/z8/MoznjBBP4etR6to6ejTGov7BvXfQYjH5mrjwpD/Tamf13IohLExmN/MWq2WV199lfbt29OgQYNC95k1axaJiYm6JTIyspxTClOiKIrul/fYWsNUTiNE2Rhb62kAVoVvIj07XeU0QujPYAqVSZMmcenSJdasWVPkPra2tri4uORbhCipE3fPEpJ4FQcre56u1k/tOEKUiS6V2uPn6Mv9zEQ239itdhwh9GYQhcrkyZPZunUrBw4coEqVKmrHEWYirzVlaNU+ONs4qZxGiLJhaWGpG1S7IuxXldMIoT9VCxVFUZg8eTIbN25k//79VKtWTc04woykZaex5tpmQLp9hOkb87/un123DnInJVrlNELoR9VCZdKkSaxcuZJVq1bh7OxMdHQ00dHRpKWlqRlLmIGgG7tJzEzC36kynX3bqR1HiDJV07U67Su2RKtoWSkz1Qojo2qhsmTJEhITE+ncuTOVKlXSLWvXrlUzljADed0+Y2o+LXOnCLOQ13K4InQdCjKnijAeqnf9FLaMHTtWzVjCxN1Mvs3uW78DfzeJC2HqhlXvj72lHcH3w0h2k0k1hfGQPyWF2fkhZA0KCl0qtSPQparacYQoFy42zgyr3h+Ae/73VE4jRPFJoSLMSo42h2UhqwGYUGeUymmEKF95P/NxlRNITE9UOY0QxSOFijArO28d4FZKFBVs3RlctZfacYQoV+0qtqCeWy20llpW/blK7ThCFIsUKsKsfHvlFyD3Zm12VnYqpxGifGk0GibUGQnAt2e/lRsVCqMghYowG5l2mWy7uQ+Qbh9hvp6rORRNjobz0ec5E3VG7ThCPJIUKsJs3KsSS46SQ0ef1tR1r6l2HCFUUcHOA49odwC+PfOtymmEeDQpVIRZ0Cpa7vrHAuiavoUwV943PQFYfWk1DzIeqJxGiIeTQkWYhT1X95DpkImbjStPVeurdhwhVOUc50xNj5okZyaz5lLRN4IVwhBIoSLMwrdnc5u4n6s5FHsre5XTCKEuDRomNJsA/P1/QwhDJYWKMHm3km4RdCUIgBdlEK0QAIxtMhYbSxtO3znNydsn1Y4jRJGkUBEm77+n/0uOkoNzrDMNPOqoHUcIg+Dl6MXw+sMBWHRqkcpphCiaFCrCpGVkZ+iatn2ue6ucRgjDMrnVZADWXFrDvRSZVl8YJilUhEn77fJv3E25S2XnyrjHuKkdRwiD0qpyK1r6tiQzJ5Pvz36vdhwhCiWFijBpeU3aE1tMRKNoVE4jhOGZ1HISAEvPLCVbm61yGiEKslI7gBBl5cydMxy7dQxrC2smNJvAVoLUjiSEQQgNDaVNy5YAaC20WHWz4mbiTeoNqEPNnJps27FD5YRC/E0KFWGy8lpTnq7/NBWdKqqcRgjDkZOdzfGgvwv3WSfnMf/CN/gPrETct7EqJhOiIOn6ESYpLjWO1ZdWAzC55WSV0whh2CbWfQ4LjQX77hwhzSlN7ThC5COFijBJ35/9nvTsdJpVakabKm3UjiOEQQtwrsIA/x4ARFe9q3IaIfKTQkWYnMycTL46+RUAr7R6BY1GBtEK8ShTGowHINYvjrjUOJXTCPE3KVSEyVl7aS13HtzBx8mHEQ1GqB1HCKPQuVI7mlSoj9ZSy9LTS9WOI4SOFCrCpPTp3YuJP/4HAKvTlnRq24E2LVvSpmVLwkJDVU4nhOHSaDS83jD3/843p74hIztD5URC5JKrfoRJiVAiSHVNw8HKngsf78LDzl23zbVmTRWTCWH4hgcOYPyO14kmmtWXVjO2yVi1IwkhLSrCtEQFRgMwrtbwfEWKEOLRrC2sdbeaWHBsAYqiqJxICClUhAm5fO8yid5JaNDwaoMX1I4jhFHyvuGFk40Tf979kz3X9qgdRwgpVITpWHBsAQCDqvaihms1ldMIYZyssq14vunzAHx+7HOV0wghhYowETHJMay8uBJANyBQCFEyU1tPxUJjwe6ru/kz5k+14wgzJ4WKMAkLji0gIycDpwRH2lVsoXYcIYxaNfdqPFXvKQDmHZmnchph7qRQEUYvPi2exacXA+AbVkkmeBOiFMzqMAuAtX+tJTw+XOU0wpxJoSKM3tcnviY5M5lGFRvhdtdV7ThCmIQmPk3oW7MvWkXL/CPz1Y4jzJgUKsKoPch4wJcnvgTgrQ5voUFaU4QoLW93fBuAny78xM3EmyqnEeZKChVh1JaeXkpCegK1KtTS9akLIUpHW7+2dKnahSxtFp8e/VTtOMJMSaEijFZaVpru8smZ7WdiaWGpciIhTE9eq8r3574nJjlG5TTCHEmhIozWD+d+ICYlBn9Xf55t9KzacYQwSV2rdaVNlTakZ6fr5ioSojxJoSKMUkZ2Bp8c/QSAGe1nYG1prXIiIUyTRqPRtaosPr2Y2NRYlRMJcyM3JRRGpW/v3sTFxhJd9S6RDSKxTrdmxeRl/KRdDiB3SBbiMYWGhtKmZct86xQUHDo4kOyWTOvXWnH1v9dUSifMkRQqwqjExcayf/0aAte0gzT46skPmPjKaN12uUOyEI8nJzub40FBBdZvv7mPvrtGc73iDaIeRFHJuZIK6YQ5kq4fYXS++Ws50Wl3qebsz/jaz6gdRwiz0NuvK+0qtkBrqeXjwx+rHUeYESlUhFHJtsrmkwuLAJjT7DVsLG1UTiSEedBoNHzU4k0Avj3zLdfvX1c3kDAbUqgIoxJdPYb4jPvUcavBszWGqh1HCLPSxbc9LvecydJm8cHvH6gdR5gJKVSE0YhLjSOqWu48Dh80ny7zpgihgiohlQH48cKPhMSGqJxGmAMpVITRmH9kPlprLY096jG0Wl+14whhlpzvO9GvVj+0ipZ3D76rdhxhBqRQEUYhIiGCr05+BcDHLWdgoZEfXSHU8lGXj9CgYd1f6zh+67jacYSJk9/2wijM2jeLzJxMXO4508fvSbXjCGHWGvs0ZmyTsQBM2zUNRVHUDSRMmhQqwuAdizzG2r/WokGD/2U/NBq5Q7IQavuo60c4WDtw7NYxfr38q9pxhAlTtVA5dOgQ/fv3x9fXF41Gw6ZNm9SMIwyQoihM2z0NgHFNxuH4wEHlREIIAF9nX95sl3u58sy9M0nPTlc5kTBVqhYqKSkpNG7cmEWLFqkZQxiwvD5wR2tHPuz6odpxhBD/ML3ddHydfYm4H8HXJ75WO44wUaoWKr179+ajjz5i8ODBasYQBio9O52Z+2YCuTce9HX2VTmREOKfHG0cmdt1LgAfHf6Ieyn3VE4kTJFRjVHJyMggKSkp3yJMS9/evWnTsiVtWrak5nM1uH7/OtZp1mx+cyNtWraUmw4KYWCea/wcTX2akpSRxOz9s9WOI0yQURUq8+bNw9XVVbf4+fmpHUmUsrjYWI4HBbH656+JrR8HwIo+X3Bq41aOBwWRnZ2tckIhxD9ZaCz4steXAHx39jtO3DqhciJhaoyqUJk1axaJiYm6JTIyUu1IogwoisIrf8wmPSedrr7tGRE4SO1IQoiH6BjQkTGNx6Cg8NK2l8jWyh8UovQYVaFia2uLi4tLvkWYns03drMtch/WFtYsaj9XLkcWwgh82v1T3O3cORd9jiWnlqgdR5gQK7UDCPFPOZY5TDn2DgBvNJpIHbcaKicSQvxTaGgobVq2LHSbq78LCY0SmH1gNk/Ve4pKzpXKOZ0wRaoWKsnJyYSHh+seR0REcP78eTw8PPD391cxmVDL7ZpRRCVHE+BUhbebTlU7jhDiX3KyszkeFFT4Nm0Orp/VJck9idd3v86qoavKOZ0wRap2/Zw+fZqmTZvStGlTAKZNm0bTpk1591250ZU5uhB9gejquXdH/rrdhzhY2aucSAihD0sLS6pd8sdCY8HqS6vZGb5T7UjCBKhaqHTu3BlFUQosK1asUDOWUEFWThZjg8aiWCgMrtqb/gE91I4khCgBx0RHprSaAsCELRNITE9UOZEwdkY1mFaYrnlH5nE++jxWmZYsaT9P7ThCiMfw8ZMfE+geyK2kW7y++3W14wgjJ4WKUN2F6At8eCh3evyAS/5UdPBSOZEQ4nE4WDuwfOByNGhYdm6ZdAGJxyJX/Yhy1bd3b+JiY3WPtRotf3UIJts1G/coN+IPxj7k2UIIY9ExoCNTWk/hyxNfMmHLBC69dAlXO1e1YwkjJC0qolzlzTybt/R9pwuprml42LoRPP0gOdk5akcUQpSSuU/O1XUBvbbrNbXjCCMlhYpQzR8xp/jw3EIAvmn3sXT5CGFi/tkFtPz8cn7961e1IwkjJIWKUEVCxn1G7J9EjpLDyMDBPBM4UO1IQogy0DGgIzPazwByrwK6fv+6uoGE0ZFCRZQ7RVF44dAb3Ey+TaBLVZZ0mCfT5Athwj7o8gFtqrQhMSOREetHkJWTpXYkYUSkUBHl7r/BP7Ph+nasLaxZ03UxLjbOakcSQpQha0trVg9djautK8dvHWfOwTlqRxJGRK76EeUq1TmV146/D8C8ljNp4dVY5URCiNL0sHsBeVWqQGLzROYfmU/Xal3pVr1bOacTxkgKFVFuEtISCG1xlYycDHpV6cJrDV9UO5IQopQ97F5AALavVCWzURa9v+9NgyN1sU2zzbe9gqcn23bsKOuYwohIoSLKRY42hxHrR5DhmEGAUxV+6vwlFhrpeRTC3NjutaJB1zqcjf0ThmnZP2BNvvt6tRkoA+tFfvJNIcrFW/veYtfVXVjkWLCpxzK87CuoHUkIoQJNtoaN3ZfhZVeB83F/8fyh11EURe1YwoBJoSLK3JpLa/i/P/4PgOrnq9KkQgOVEwkh1OTvVJnfun2LlcaKNVeD+OziUrUjCQMmXT+iTJ26fYrxQeMBmNF+Bge37lM5kRDCEDxRqQ1ftnufSUffZuapudR1q0G/gO4PHYwr41fMkxQqosyEx4fTd1Vf0rLT6FWjFx93/Zj2SKEihMj1Ut0xnIv9i+9DVjFs30QO9Pv1oYNxZfyKeZKuH1EmYpJj6LmyJ/dS79GsUjPWPbUOSwtLtWMJIQyIRqNhcYe59KrShbScdPrtGkOOu1btWMLASKEiSl1yZjL9VvfjWsI1qrlVY9vIbTjbyqRuQoiCrC2s+bXbf2nh2ZjY9HhSn84gOvWu2rGEAZFCRZSqjOwMnlr3FKfvnMbTwZNdz+7Cx8lH7VhCCAPmZO3Itl4/EehSFcVNoc/O57ifkah2LGEgpFARpSYjO4Oh64ay6+ouHKwd2DZyGzUr1FQ7lhDCCHjbe7Kr9y9oUuBc3CV67BhJYmaS2rGEAZDBtKJUZGRn8NSvT7EtbBsWORb4H6vClI2TCuwXFhqqQjohhDEIdKmKwzo77Cbac+reeXpsH8nuPqtwtXFRO5pQkRQq4rFlZGfw9K9PszV0K5ocDbv7r+LJiR0L3de1prSwCCGKZnnPgn1919J12zBO3jtHzx0j2dVbihVzJl0/4rGkZKYweO1gtoRuwc7KjtqnavJk5cKLFCGEKI7GFeqzr+9aPGzdOHH3HN23j+BeWpzasYRKpFARJRabGsuTPz3JjvAd2FnZEfRMEK6x8lePEOLxNanQgL19couVU/fO037zQNLtM9SOJVQghYookev3r9Phhw6cuH0CD3sP9o3eR4/AHmrHEkKYkKaeDTg6IAh/p8qEJUVwuf0VLkRfUDuWKGdSqAi9nY06S7tl7QiJC8HPxY8j447Qzq+d2rGEECaojlsNjg3YTEOPumTZZfHEiifYc3WP2rFEOZJCRehl5cWVtP+hPVHJUTTwbsCx549R16uu2rGEECbM19GHQ/3W4xznRFJGEr1+6cVnf3wmd102E1KoiGLJ1mYzbdc0ntv4HOnZ6fSp2YfD4w5T2aWy2tGEEGbAzdaVOidqMbbJWLSKljf2vMGoDaNIzUpVO5ooY3J5snikqAdRPLvxWfZH7Acg8FZ1YrfG0OuL7gX2lXlShBBlJfxKOJqPNARU9edGvZusvrSaoKObqHk2ELsUO7m7somSQkU81OaQzTy/+XliU2NxtHbkx0E/8umY+UXe3VTmSRFClJWc7GxOBG0G4PeoYzy99z/cI47w7tf4su0HfDtjtcoJRVmQrh9RqNSsVF7a+hID1wwkNjWWxhUbc3LCSYbWG6p2NCGEoFOltpwdvJPOldqSkp3KC4enE9b8KnGpMt+KqZFCRRSwP2I/TZY2YemZpQBMbzudEy+coJ5XPZWTCSHE36o4+bK3z1o+afU21hbWJFS6T4MlDfj1r19loK0JkUJF6MSmxjJm0xie/OlJwuLD8HX2Zc9ze/i0x6fYWtmqHU8IIQqwtLDkzcYvc3zgFuwe2BGdHM2w34bRf3V/bty/oXY8UQqkUBFka7P57sx31PmmDj9d+AkNGia1nMTlly/TrXo3teMJIcQjNfNsSMPD9XjniXewtrBmW9g26i+uzydHPiE9O13teOIxSKFixhRFYXvYdhovbcyLW18kLi2Oht4N+eP5P/imzze42rmqHVEIIYrNQmvBB10+4PzE83Tw70BKVgoz982k9je1+eXiL2gVrdoRRQnIVT9m6ujNo8w5OId9EfsA8LD34J0n3mFSy0kM6jeAuNjYIp8rlyALIQxZPa96/D72d1ZeXMlb+97iZuJNnt34LF8c/4IPu3xIrxq90Gg0ascUxSSFihlRFIX9EfsZ9s0w4l3jAdDkaPC57o1veCXW/PoLa/iFsNBQ4oKDi3wduQRZCGGIQkNDadOyZb51lSy80VSHO4FRnIk6Q59VfWhWqRmzO85mYJ2BWGikY8HQSaFiBjJzMvnt8m98eeJLTt4+Ca5gbWHN2FrDeKvJK1R19su3vxQiQghjlJOdXeQcT3fTYmn8fg+S6jzgbNRZhqwbQj2vekxpNYVRjUbhZONE3969i2xNlsnk1COFigmLTIzku7Pf8e2Zb4lJiQHAzsoO1zAXTr21FT8nmf5eCGEevO09CQj2Y+vSHSw8vpCvT37N5XuXmbhtIjP2zmBck3HcSrvFhaBdhT6/zcCB5ZxY5JFCxcQ8yHhAhxfac93tOkkVHsD/umGt062peN0L75teXL8Ugd9cKVKEEObH08GTj7p+xBvt3mDF+RV8c+obwuPDWXhiIXSBNkH9GF3zKYZXH0AFOw+14wqkUDEJiemJbAvbxobgDewI30Fqjb9v0tW5UlterjeGQVV7YW1hDUjXjhBCuNq5MrXNVF5p/Qq7r+5m0alFbL2ylRN3z3Hi7jlePfYe3St3ZHDV3gwI6FHo+Jd/kq6hsiOFihFSFIXL9y6z++pudl7dyYGIA2Rps3Tb7ZJtmd15KqNqDCkw/kQIIcTfLDQW9KrRi141etG8fROee3cwP4X9xrm4S2yP3M/2yP3858gMNE/DwCHd6FG5E009GxQYhCtdQ2VHChUjoFW0XIm9wpGbRzhy8wj7IvZx58GdfPvU86rH4DqDGVxnMC8P/A9vvzZVpbRCCGGcrDOtebXhBF5tOIHghDA2XN/Oxus7ORN7EfzgrVPzeevUfCrYutPVtz0dfVrTwacVjTzqSotLGZJCxcAoikJkUiRn7pzhTFTucvL2SeLT4vPtZ6G1wDnWCdd7LrjddcM+xY697GIvuwgPDVMpvRBCGK5HFRP/nCOqrntN3nafyttNp3Iz+Ta1x7Wn14Qn2XfnCHEZCfwasZVfI7YC4GztROrQVJ7o35Lmng1p7tmIQJeq+eZqkRaXkpNCxcC8secNPj/2eYH19lb2tKnShg7+HXgi4AneGjGDkxu3FPoaMgZFCCEKetjly1D0705/p8rYnLdmY49lZGmzOHH3HL9HHeNI9Cn+iDlNUtYDCIBPLy7RPeepan35tdu3pf4ezJFBFCqLFi3i008/JTo6msaNG/P111/TqlUrtWOpoq5nXSw1ljTwbkAL3xY0r9ScFr4taOLTBGtLa91+s7UySZEQQpQ3awtrOvi0ooNP7ndUjjaHvxJCaD2hL+OmPcPp2ItciLtMPfdaer3uw+ZwAfPuOlK9UFm7di3Tpk1j6dKltG7dmoULF9KzZ09CQkLw9vZWNZsak/+MaDiCkQ1H8tSAIVyKvcAlLvAjPxTYT6axF0II9VlaWNKoQj1s/rRicYd5QO4kmxk5mfn2K06308NmBDfnriPVC5UFCxYwYcIExo0bB8DSpUvZtm0bP/zwAzNnzlQ1W1xsbJHNhI/6oXlUdRxx/TrVqlYtcrtMYy+EEMbJxtIGG0ubfOtK2u2U52GFzuP+4WzorTmqFiqZmZmcOXOGWbNm6dZZWFjQrVs3jh07VmD/jIwMMjIydI8TExMBSEpKKpN82Tk5JD14UOi2kJAQWjRrVuRzr4WHc/3UqSK3V2nalN0rVz50e1HHhtxBt0Vtf9i2st6u5rENOZucFzm2sWST82J4xwbIzsoq8juj64gRj/U9GBMTw/7Vq4vc/rivX5i811MU5dE7Kyq6ffu2Aih//PFHvvVvvPGG0qpVqwL7z5kzRwFkkUUWWWSRRRYTWCIjIx9ZK6je9aOPWbNmMW3aNN1jrVZLfHw8FSpUMOtbdiclJeHn50dkZCQuLi5qxzErcu7VI+deXXL+1WMK515RFB48eICvr+8j91W1UPH09MTS0pKYmJh862NiYvDx8Smwv62tLba2tvnWubm5lWVEo+Li4mK0P7TGTs69euTcq0vOv3qM/dy7uroWaz9Vr3G1sbGhefPm7Nu3T7dOq9Wyb98+2rZtq2IyIYQQQhgC1bt+pk2bxpgxY2jRogWtWrVi4cKFpKSk6K4CEkIIIYT5Ur1QGT58OPfu3ePdd98lOjqaJk2asHPnTipWrKh2NKNha2vLnDlzCnSLibIn5149cu7VJedfPeZ27jWKUpxrg4QQQgghyp/Mwy6EEEIIgyWFihBCCCEMlhQqQgghhDBYUqgIIYQQwmBJoWIkFi1aRNWqVbGzs6N169acPHnyofsvXLiQ2rVrY29vj5+fH6+99hrp6enllNa06HPus7Ky+OCDDwgMDMTOzo7GjRuzc+fOckxrOg4dOkT//v3x9fVFo9GwadOmRz7n4MGDNGvWDFtbW2rUqMGKFSvKPKcp0vfcR0VFMXLkSGrVqoWFhQWvvvpqueQ0Rfqe+w0bNtC9e3e8vLxwcXGhbdu27Nq1q3zClhMpVIzA2rVrmTZtGnPmzOHs2bM0btyYnj17cvfu3UL3X7VqFTNnzmTOnDkEBwezbNky1q5dy1tvvVXOyY2fvud+9uzZ/Pe//+Xrr7/m8uXLTJw4kcGDB3Pu3LlyTm78UlJSaNy4MYsWLSrW/hEREfTt25cuXbpw/vx5Xn31VV544QWT+6VdHvQ99xkZGXh5eTF79mwaN25cxulMm77n/tChQ3Tv3p3t27dz5swZunTpQv/+/U3rd07p3F5QlKVWrVopkyZN0j3OyclRfH19lXnz5hW6/6RJk5SuXbvmWzdt2jSlffv2ZZrTFOl77itVqqR88803+dYNGTJEGTVqVJnmNHWAsnHjxofu8+abbyr169fPt2748OFKz549yzCZ6SvOuf+nTp06KVOnTi2zPOZE33Ofp169esr7779f+oFUIi0qBi4zM5MzZ87QrVs33ToLCwu6devGsWPHCn1Ou3btOHPmjK6L4tq1a2zfvp0+ffqUS2ZTUZJzn5GRgZ2dXb519vb2HDlypEyzCjh27Fi+zwqgZ8+eRX5WQpgirVbLgwcP8PDwUDtKqVF9ZlrxcLGxseTk5BSYqbdixYpcuXKl0OeMHDmS2NhYOnTogKIoZGdnM3HiROn60VNJzn3Pnj1ZsGABTzzxBIGBgezbt48NGzaQk5NTHpHNWnR0dKGfVVJSEmlpadjb26uUTIjy89lnn5GcnMywYcPUjlJqpEXFBB08eJC5c+eyePFizp49y4YNG9i2bRsffvih2tFM3pdffknNmjWpU6cONjY2TJ48mXHjxmFhIf/VhBBla9WqVbz//vusW7cOb29vteOUGmlRMXCenp5YWloSExOTb31MTAw+Pj6FPuedd97hueee44UXXgCgYcOGpKSk8OKLL/L222/Ll2YxleTce3l5sWnTJtLT04mLi8PX15eZM2dSvXr18ohs1nx8fAr9rFxcXKQ1RZi8NWvW8MILL/Drr78W6AI1dvKNZeBsbGxo3rw5+/bt063TarXs27ePtm3bFvqc1NTUAsWIpaUlAIrc2qnYSnLu89jZ2VG5cmWys7NZv349AwcOLOu4Zq9t27b5PiuAPXv2PPKzEsLYrV69mnHjxrF69Wr69u2rdpxSJy0qRmDatGmMGTOGFi1a0KpVKxYuXEhKSgrjxo0DYPTo0VSuXJl58+YB0L9/fxYsWEDTpk1p3bo14eHhvPPOO/Tv319XsIji0ffcnzhxgtu3b9OkSRNu377Ne++9h1ar5c0331TzbRil5ORkwsPDdY8jIiI4f/48Hh4e+Pv7M2vWLG7fvs1PP/0EwMSJE/nmm2948803GT9+PPv372fdunVs27ZNrbdgtPQ99wDnz5/XPffevXucP38eGxsb6tWrV97xjZq+537VqlWMGTOGL7/8ktatWxMdHQ3kDuJ3dXVV5T2UOrUvOxLF8/XXXyv+/v6KjY2N0qpVK+X48eO6bZ06dVLGjBmje5yVlaW89957SmBgoGJnZ6f4+fkpL7/8spKQkFD+wU2APuf+4MGDSt26dRVbW1ulQoUKynPPPafcvn1bhdTG78CBAwpQYMk732PGjFE6depU4DlNmjRRbGxslOrVqyvLly8v99ymoCTnvrD9AwICyj27sdP33Hfq1Omh+5sCjaJIX4AQQgghDJOMURFCCCGEwZJCRQghhBAGSwoVIYQQQhgsKVSEEEIIYbCkUBFCCCGEwZJCRQghhBAGSwoVIYQQQhgsKVSEEEIIYbCkUBHCwI0dO5ZBgwapHUMvj8q8YsUK3Nzcyi2PPg4ePIhGo+H+/ftF7mNI+a9fv45Go9FNYS+EqZF7/QhhIK5fv061atU4d+4cTZo00a3/8ssvy+VmkmPHjuX+/fts2rSpzI8lSqawz8jPz4+oqCg8PT3VCyZEGZJCRQgDZzI3FhNFysrKwtraukTPtbS0xMfHp5QTCWE4pOtHiFKk1WqZN28e1apVw97ensaNG/Pbb7/ptickJDBq1Ci8vLywt7enZs2aLF++HIBq1aoB0LRpUzQaDZ07dwYKdqN07tyZV155hVdffRV3d3cqVqzId999p7urs7OzMzVq1GDHjh265+Tk5PD888/rctWuXZsvv/xSt/29997jxx9/JCgoCI1Gg0aj4eDBgwBERkYybNgw3Nzc8PDwYODAgVy/fj3fa0+bNg03NzcqVKjAm2++WaIWoCVLlhAYGIiNjQ21a9fm559/zrf9ypUrdOjQATs7O+rVq8fevXvRaDQPbQHKyMhgypQpeHt7Y2dnR4cOHTh16lS+fbZv306tWrWwt7enS5cu+d5bnhUrVuDv74+DgwODBw8mLi4u3/YLFy7QpUsXnJ2dcXFxoXnz5pw+fbrIXBqNhiVLljBgwAAcHR35+OOPS/wZFdb18/vvv9OqVStsbW2pVKkSM2fOJDs7u8g8Qhg0de+JKIRp+eijj5Q6deooO3fuVK5evaosX75csbW1VQ4ePKgoiqJMmjRJadKkiXLq1CklIiJC2bNnj7J582ZFURTl5MmTCqDs3btXiYqKUuLi4hRFyb1b6sCBA3XH6NSpk+Ls7Kx8+OGHSmhoqPLhhx8qlpaWSu/evZVvv/1WCQ0NVV566SWlQoUKSkpKiqIoipKZmam8++67yqlTp5Rr164pK1euVBwcHJS1a9cqiqIoDx48UIYNG6b06tVLiYqKUqKiopSMjAwlMzNTqVu3rjJ+/Hjl4sWLyuXLl5WRI0cqtWvXVjIyMhRFUZRPPvlEcXd3V9avX69cvnxZef755xVnZ+d8mf9t+fLliqurq+7xhg0bFGtra2XRokVKSEiI8vnnnyuWlpbK/v37FUVRlOzsbKV27dpK9+7dlfPnzyuHDx9WWrVqpQDKxo0bizzOlClTFF9fX2X79u3KX3/9pYwZM0Zxd3fXndubN28qtra2yrRp05QrV64oK1euVCpWrKgAuruNHz9+XLGwsFA++eQTJSQkRPnyyy8VNze3fPnr16+vPPvss0pwcLASGhqqrFu3Tjl//nyRuQDF29tb+eGHH5SrV68qN27cKPFnFBERoQDKuXPnFEVRlFu3bikODg7Kyy+/rAQHBysbN25UPD09lTlz5hSZRwhDJoWKEKUkPT1dcXBwUP744498659//nllxIgRiqIoSv/+/ZVx48YV+vx/f+HkKaxQ6dChg+5xdna24ujoqDz33HO6dVFRUQqgHDt2rMi8kyZNUoYOHVrkcRRFUX7++Weldu3ailar1a3LyMhQ7O3tlV27dimKoiiVKlVS/u///k+3PSsrS6lSpYpehUq7du2UCRMm5Nvn6aefVvr06aMoiqLs2LFDsbKyUqKionTb9+zZ89BCJTk5WbG2tlZ++eUX3brMzEzF19dXl3fWrFlKvXr18j1vxowZ+QqVESNG6HLkGT58eL78zs7OyooVK4p8v/8GKK+++uoj9yvOZ/Tvn5u33nqrwGe2aNEixcnJScnJySl2RiEMhXT9CFFKwsPDSU1NpXv37jg5OemWn376iatXrwLw0ksvsWbNGpo0acKbb77JH3/8UaJjNWrUSPdvS0tLKlSoQMOGDXXrKlasCMDdu3d16xYtWkTz5s3x8vLCycmJb7/9lps3bz70OBcuXCA8PBxnZ2fd+/Hw8CA9PZ2rV6+SmJhIVFQUrVu31j3HysqKFi1a6PV+goODad++fb517du3Jzg4GICQkBD8/PzyjcVo1arVQ1/z6tWrZGVl5Xtda2trWrVqpXvd4ODgfNkB2rZtWyDbo/aZNm0aL7zwAt26dWP+/Pm6z/thCjtHJfmM/i04OJi2bdui0Wh069q3b09ycjK3bt3S67WEMAQymFaIUpKcnAzAtm3bqFy5cr5ttra2APTu3ZsbN26wfft29uzZw5NPPsmkSZP47LPP9DrWvwdeajSafOvyvqS0Wi0Aa9asYfr06Xz++ee0bdsWZ2dnPv30U06cOPHI99S8eXN++eWXAtu8vLz0ymzK3nvvPUaOHMm2bdvYsWMHc+bMYc2aNQwePLjI5zg6OuZ7XNLPSAhTJy0qQpSSevXqYWtry82bN6lRo0a+xc/PT7efl5cXY8aMYeXKlSxcuJBvv/0WABsbGyB3cGppO3r0KO3atePll1+madOm1KhRo8Bf/TY2NgWO3axZM8LCwvD29i7wnlxdXXF1daVSpUr5vkyzs7M5c+aMXvnq1q3L0aNHC2SuV68eALVr1yYyMpKYmBjd9n8Piv23vIG5/3zdrKwsTp06pXvdunXrcvLkyXzPO378eIFs/y4W/r0PQK1atXjttdfYvXs3Q4YM0Q2SLq6Sfkb/VrduXY4dO5ZvQPPRo0dxdnamSpUqemUSwhBIoSJEKXF2dmb69Om89tpr/Pjjj1y9epWzZ8/y9ddf8+OPPwLw7rvvEhQURHh4OH/99Rdbt26lbt26AHh7e2Nvb8/OnTuJiYkhMTGx1LLVrFmT06dPs2vXLkJDQ3nnnXcKfNFXrVqVixcvEhISQmxsLFlZWYwaNQpPT08GDhzI4cOHiYiI4ODBg0yZMkXXjTB16lTmz5/Ppk2buHLlCi+//PJDJ0srzBtvvMGKFStYsmQJYWFhLFiwgA0bNjB9+nQAunfvTmBgIGPGjOHixYscPXqU2bNnA+Tr4vgnR0dHXnrpJd544w127tzJ5cuXmTBhAqmpqTz//PMATJw4kbCwMN544w1CQkJYtWoVK1asyPc6U6ZMYefOnXz22WeEhYXxzTffsHPnTt32tLQ0Jk+ezMGDB7lx4wZHjx7l1KlTus+1uEr6Gf3byy+/TGRkJK+88gpXrlwhKCiIOXPmMG3aNCws5Fe+MEJqD5IRwpRotVpl4cKFSu3atRVra2vFy8tL6dmzp/L7778riqIoH374oVK3bl3F3t5e8fDwUAYOHKhcu3ZN9/zvvvtO8fPzUywsLJROnTopilL4YNqpU6fmO25AQIDyxRdf5FvHPwaapqenK2PHjlVcXV0VNzc35aWXXlJmzpypNG7cWLf/3bt3le7duytOTk4KoBw4cEBRlNyBuaNHj1Y8PT0VW1tbpXr16sqECROUxMRERVFyB89OnTpVcXFxUdzc3JRp06Ypo0eP1mswraIoyuLFi5Xq1asr1tbWSq1atZSffvop3/bg4GClffv2io2NjVKnTh1ly5YtCqDs3LmzyOOkpaUpr7zyii57+/btlZMnT+bbZ8uWLUqNGjUUW1tbpWPHjsoPP/yQbzCtoijKsmXLlCpVqij29vZK//79lc8++0yXPyMjQ3nmmWcUPz8/xcbGRvH19VUmT56spKWlFZmLQgYBl/QzKmwQ9sGDB5WWLVsqNjY2io+PjzJjxgwlKyuryDxCGDKNopTDlJdCCFHKjh49SocOHQgPDycwMFDtOEKIMiKFihDCKGzcuBEnJydq1qxJeHg4U6dOxd3dnSNHjqgdTQhRhuSqHyGEUXjw4AEzZszg5s2beHp60q1bNz7//HO1Ywkhypi0qAghhBDCYMkQcCGEEEIYLClUhBBCCGGwpFARQgghhMGSQkUIIYQQBksKFSGEEEIYLClUhBBCCGGwpFARQgghhMGSQkUIIYQQBuv/AeBoGGXVtOluAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_two_plots(\n",
    "    n,\n",
    "    sample_size = 10000\n",
    "):\n",
    "    # sample from multinomial distribution to populate counts in contingency table \n",
    "    # do this sample_size times \n",
    "    counts = np.random.multinomial(n, ps, size=sample_size)\n",
    "    print(f'total counts: {n}')\n",
    "    \n",
    "    import seaborn as sns \n",
    "    import matplotlib.pyplot as plt \n",
    "\n",
    "    # estimate the standard deviation of the estimate of the log odds ratio \n",
    "    # do this sample_size times\n",
    "    # math can be found, e.g., at \n",
    "    #   https://stats.stackexchange.com/a/359437\n",
    "    #   https://en.wikipedia.org/wiki/Taylor_expansions_for_the_moments_of_functions_of_random_variables#Second_moment\n",
    "    LOR_hat_std = [np.sqrt(np.sum(1/c)) for c in counts]\n",
    "\n",
    "    axes_LOR_hat_std = sns.histplot(LOR_hat_std)\n",
    "    plt.xlim([0, 2])\n",
    "    plt.xlabel('standard deviation of the estimated log odds ratio')    \n",
    "    plt.show()\n",
    "    \n",
    "    # estimate the log odds ratio\n",
    "    # do this sample_size times \n",
    "    LOR_hat = []\n",
    "    for c in counts: \n",
    "        c_table = c.reshape(2,2)\n",
    "        LOR_hat.append(np.log(c_table[0,0]*c_table[1,1]/(c_table[0,1]*c_table[1,0])))\n",
    "\n",
    "    axes_LOR_hat = sns.histplot(LOR_hat, stat='density', color='red', alpha=0.1)\n",
    "\n",
    "    plt.xlabel('estimated log odds ratio')\n",
    "\n",
    "    import scipy.stats as stats\n",
    "\n",
    "    LOR_true = np.log(p_table[0,0]*p_table[1,1]/(p_table[0,1]*p_table[1,0]))\n",
    "    mu = LOR_true\n",
    "    sigma = np.mean(LOR_hat_std)\n",
    "    x = np.linspace(mu - 3*sigma, mu + 3*sigma, 100)\n",
    "    plt.plot(x, stats.norm.pdf(x, mu, sigma), color='green', label='N(LOR_true, mean(LOR_hat_std))')\n",
    "    \n",
    "    plt.legend()\n",
    "    plt.ylabel('probability density')\n",
    "    plt.show()\n",
    "    \n",
    "    return axes_LOR_hat, axes_LOR_hat_std\n",
    "    \n",
    "import warnings\n",
    "with warnings.catch_warnings():\n",
    "    warnings.simplefilter(\"ignore\")\n",
    "    for n in [10, 50, 500, 5000]:\n",
    "        create_two_plots(n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7d63d4c6",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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