Grovers_searching.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#initialization\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "\n",
    "# importing Qiskit\n",
    "from qiskit import IBMQ, BasicAer, Aer\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister, execute\n",
    "\n",
    "# import basic plot tools\n",
    "from qiskit.tools.visualization import plot_histogram\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "provider = IBMQ.get_provider(hub='ibm-q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "q = QuantumRegister(9)\n",
    "c = ClassicalRegister(5)\n",
    "qc = QuantumCircuit(q, c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x193b203c648>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.x(q[5])\n",
    "qc.h(q[0:6])\n",
    "qc.barrier(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x193d310e7c8>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.barrier(q)\n",
    "\n",
    "# build oracle. ex: to find 10101 state\n",
    "qc.x(q[1])\n",
    "qc.x(q[3])\n",
    "qc.barrier(q)\n",
    "qc.mct([q[0], q[1], q[2], q[3], q[4]], q[5], q[6:9])    # control qubits, target qubit, ancilla qubits = number of control qubits - 2\n",
    "qc.barrier(q)\n",
    "qc.x(q[1])\n",
    "qc.x(q[3])\n",
    "\n",
    "qc.barrier(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x193d6499048>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.barrier(q)\n",
    "qc.h(q[0:5])\n",
    "qc.barrier(q)\n",
    "qc.x(q[0:5])\n",
    "qc.barrier(q)\n",
    "qc.h(q[4])\n",
    "qc.barrier(q)\n",
    "qc.mct([q[0], q[1], q[2], q[3], q[4]], q[5], q[6:9])\n",
    "qc.barrier(q)\n",
    "qc.h(q[4])\n",
    "qc.barrier(q)\n",
    "qc.x(q[0:5])\n",
    "qc.barrier(q)\n",
    "qc.h(q[0:5])\n",
    "qc.barrier(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x193d42ace48>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.measure(q[0:5], c[0:5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1672.36x3937.08 with 1 Axes>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'11101': 23, '01101': 28, '01110': 29, '10101': 228, '01011': 28, '10110': 23, '00101': 28, '10010': 18, '01100': 32, '10111': 19, '01111': 32, '00000': 38, '01001': 28, '11000': 20, '11001': 26, '11110': 16, '10100': 15, '11111': 12, '01000': 22, '01010': 37, '00010': 30, '10000': 20, '11011': 20, '00111': 31, '11100': 20, '00011': 19, '00001': 32, '10011': 17, '00100': 33, '10001': 18, '00110': 39, '11010': 19}\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# running and getting results \n",
    "\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "job = execute(qc, backend, shots=1000)\n",
    "# backend = provider.get_backend('ibmq_qasm_simulator')\n",
    "# job = execute(qc, backend=backend, shots=8000, seed_simulator=12345, backend_options={\"fusion_enable\":True})\n",
    "result = job.result()\n",
    "count = result.get_counts()\n",
    "print(count)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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W2l8yfvT6ptUiIiI3Ck8WN+gKzLPWXsr42S1r7Zc+i0xERKSQ8aSl+QVQHTiS8bM7FsegIBERkRuSJ4sbFMntZxERkZuNkqCIiIiHPL2m6RFd0xQRkRuZp9c0PaFrmiIickPz6pqmiIjIzUwJUURExEOapykiIuIhzdMUERHxkOZpioiIeEhJUERExENeJ01jTJQxZroxJi7ja0a2+22KiIjckLxKmsaYXsD3QA1gYcZXNWCjMeZR34cnIiJSeHh6P02n14CXrLWjM280xvwZGAV87KvAREREChtvu2erALNy2T4bqHr14YiIiBRe3ibNFcAduWy/A1h1tcGIiIgUZt4u2L4IGGOMiQY2ZGxrCXQFXvZ5dCIiIoXIlS7Y3j/jK7N3gHevOiIREZFCSgu2i4iIeEgJUURExEPeTjnBGFMRuAe4BSiW+Tlr7UgfxSUiIlLoeJU0jTEtgQVACo7pJ8k4FjpIAfYBSpoiInLD8rZ7dizwCVATuADciaPFGQe84dvQREREChdvk2YTYJK11gJpQIC19jDwAppyIiIiNzhvk+bFTD8fBmpl/HwWCPRJRCIiIoWUt0lzM9A84+eVwChjzOPA28A2TyowxjxrjNlrjLlgjNlkjGmTR9nixpipxphtxphLxpiVuZTpaoxZaoz51RhzxhgTa4zp7OVxiYiIXJa3SfNF4EDGz38FfsWxqEEFci52kIMxpjswERgN3AqsAxYZY25xs4sfjmunk3AMQMpNO2A5cF9GnQuBr/JKxiIiIlfCq9Gz1tq4TD//Ctzr5e97Hphqrf0g4/Fzxph7gGeAP+fy+34DBgAYY5oA5XMpMyTbpleMMfcBXYA1XsYnIiLiltfzNAGMMXWA+hkPd1pr93iwTzGgGfBmtqeWArddSRx5KAOc8HGdIiJyk/N2nmYl4N9AZyD9f5vNfOBJa+2xPHavjKO79XC27YeB33kTx2ViHAgEATPcPO9aNzcwMJCVK1cCEBoaSpkyZYiPjwegUqVKNGzYkNWrVwPg7+9P69at2bx5M6dPnwYgOjqaw4cPk5iYCEBYWBgBAQFs374dgKpVqxIeHs7atWsBCAgIoFWrVsTFxXH27FkAYmJiSEpKIjk5GYCIiAj8/PzYuXMnANWrV6d27dqsX78egBIlShATE0NsbCznz58HoFWrVuzdu5dDhw4B0KBBA9LS0ti1axcANWvWJCgoiNjYWABKly5NdHQ069evJyUlBYDWrVuze/dujhw5AkCjRo1ISUkhISEBgODgYKpVq0ZcnKOzoWzZskRFRbF27VpSU1MBaNu2LTt27ODYMcefQdOmTTlz5gx79jg+U4WEhFCxYkU2b94MQIUKFWjatCmrVq3CWosxhnbt2hEfH8+JE47PPFFRURw/fpx9+/bpPOk8+ew8QQDZOd8LdJ4Kz3m6Vv9PeTGO2SOeMcZ8BYQBTwOxGZtjgPeAn6y1XfPYNxDHYghtrbVrMm3/O9DTWlvvMr97EtDIWntHHmW64UiWPay1X1/ueKKjo63zj1ZEbh5PTci57YOhBR+HFE7GmE3W2ujcnvO2e/Zu4C5r7fpM274zxjwNfHOZfY/imNtZPdv2quRsfXotU8Ls7UnCFBER8Za3o2d/BX7LZfs5IK+uWay1F4FNQIdsT3XAMYr2ihljHgE+BvpYa3O7lZmIiMhV8zZpjgQmGGNqOjdk/DwOz9adfQvoY4zpZ4ypb4yZiGNRhCkZdY0xxnybeQdjTANjTCSOa6KljTGRGY+dz/fAsbTfCGC1MaZ6xldFL49NREQkT5ftnjXG/ABkvvBZG9hnjEnOeOxch7Yq8K+86rLWzswYTPRXHAu9bwc6WWt/yShSA6iTbbeF/G/lIYAtztAyvg/IOI4JGV9Oq4A78opHRETEG55c0/Rpd6e19l3gXTfP9cllW8hl6rvDF3GJiIhczmWTprX2lYIIREREpLC70sUN7gQa4Oi23WGtXenLoERERAojbxc3qAl8hWNlH+catIHGmDjgQWvtAbc7i4iIXOe8HT37No65lnWttcHW2mAcix2kZTwnIiJyw/K2e7YDcIe1dq9zg7V2jzFmMPCt+91ERESuf962NN1Jv3wRERGR65u3SfNb4G1jTLBzQ8a9MCeilqaIiNzgvE2ag4GSwB5jzC/GmH3AzxnbBvs4NhERkULF22uax4AWQHugHo5VeXZaay+3WLuIiMh1z+OkaYzxA04BTa21y4Bl+RaViIhIIeRx96y1Ng34BSiWf+GIiIgUXt5e03wVeN0YUzk/ghERESnMvL2mOQzHXU6SjTFJZLu3prW2ia8CExERKWy8TZpf4Fhv1lyuoIiIyI3Go6RpjCkJjAW6AEVxzMl8zlp7NB9jExERKVQ8vab5CtAHWAB8BvwOeC+fYhIRESmUPO2e7Qr0tdZ+DmCM+QT4zhjjlzGqVkRE5IbnaUszGFjjfGCt3QikAoH5EZSIiEhh5GnS9AMuZtuWyhXexFpEROR65GnSM8DHxpiUTNuKAx8YY845N1hrO/syOBERkcLE06Q5LZdtH/syEBERkcLOo6RprX0ivwMREREp7Hx1E2oREZEbnpKmiIiIh5Q0RUREPKSkKSIi4iElTREREQ8paYqIiHhISVNERMRDSpoiIiIeUtIUERHxkJKmiIiIh5Q0RUREPKSkKSIi4iElTREREQ8paYqIiHhISVNERMRDSpoiIiIeUtIUERHxkJKmiIiIh5Q0RUREPKSkKSIi4iElTREREQ8paYqIiHhISVNERMRDSpoiIiIeUtIUERHxkJKmiIiIh5Q0RUREPFTgSdMY86wxZq8x5oIxZpMxps1lyjc2xqwyxpw3xiQbY/5mjDHZyhQzxozMqDfFGLPfGDM4f49ERERuNv4F+cuMMd2BicCzwNqM74uMMQ2stftzKV8WWAasBpoDEcBU4DdgXKainwHBQH8gAagGlMi3AxERkZtSgSZN4HlgqrX2g4zHzxlj7gGeAf6cS/leQEngcWvteWC7MaY+8Lwx5i1rrTXGdAR+B9Sx1h7N2G9fvh6FiIjclAqse9YYUwxoBizN9tRS4DY3u7UC1mQkTKclQCAQkvG4C/A9jkSaZIxJMMa8bYwp7bPgRUREKNiWZmXADzicbfthHC3F3FQHknIp73xuLxAKtAZSgG5AeeAdHIn1oewVGmP64+jGJTAwkJUrVwIQGhpKmTJliI+PB6BSpUo0bNiQ1atXA+Dv70/r1q3ZvHkzp0+fBiA6OprDhw+TmJgIQFhYGAEBAWzfvh2AqlWrEh4eztq1awEICAigVatWxMXFcfbsWQBiYmJISkoiOTkZgIiICPz8/Ni5c6fjIKtXp3bt2qxfvx6AEiVKEBMTQ2xsLOfPOz5LtGrVir1793Lo0CEAGjRoQFpaGrt27QKgZs2aBAUFERsbC0Dp0qWJjo5m/fr1pKSkANC6dWt2797NkSNHAGjUqBEpKSkkJCQAEBwcTLVq1YiLiwOgbNmyREVFsXbtWlJTUwFo27YtO3bs4NixYwA0bdqUM2fOsGfPHgBCQkKoWLEimzdvBqBChQo0bdqUVatWYa3FGEO7du2Ij4/nxIkTAERFRXH8+HH27dun86Tz5LPzBAFk53wv0HkqPOfpWv0/5cVYa/Ms4CvGmEAgGWhrrV2TafvfgZ7W2nq57LMUSLTW9s20rRaO7tdW1toNGWXaANWttacyynTE0SKtbq3NnqRdoqOjrfOPVkRuHk9NyLntg6EFH4cUTsaYTdba6NyeK8jRs0eBNBwtxMyqkrP16XTITXky7XMQSHYmzAw/Zny/5cpCFRERyanAkqa19iKwCeiQ7akOwDo3u60H2hhjimcrf4D/Dfb5DgjMdg0zPOP7L1cTs4iISGYFPU/zLaCPMaafMaa+MWYijmuPUwCMMWOMMd9mKv8pcA6YaoxpZIzpCowA3rL/61f+FDgGfGSMaWiMuR3HtJYvrLVHCui4RETkJlCgU06stTONMZWAvwI1gO1AJ2uts0VYA6iTqfwpY0wHYDIQB5zAMT/zrUxlzhpjfodj8M/3GWX+gyO5ioiI+ExBz9PEWvsu8K6b5/rksu0HoO1l6twFdPRFfCIiIu5o7VkREREPKWmKiIh4SElTPLZ48WIiIiKoW7cur7/+eo7nrbUMHjyYunXr0qRJE9ek6wsXLtCiRQuaNm1Kw4YN+fvf/+7aJz4+nlatWtG4cWPuv/9+1wRqEZHCSEkzD/mRJLZu3UrLli2JjIwkOjqajRs3FtjxXI20tDQGDhzIokWL2LlzJ5999plr9Q6nRYsWkZCQQEJCAu+//z7PPPMM4FgRZPny5cTHx7N161YWL17Mhg0bAOjXrx+vv/46P/zwAw8++CBjx44t8GMTEfGUkqYb+ZUkhg8fzt///ne2bt3KyJEjGT58eIEf25XYuHEjdevWJTQ0lGLFitGjRw/mzp2bpczcuXPp3bs3xhhatmzJyZMnOXjwIMYYSpd2TKO9dOkSly5dwnl3t127dtG2rWOcV4cOHZgzZ45P486PDz7du3cnMjKSyMhIQkJCiIyM9GnMIlJ4KWm6kV9Jwhjj6oI8deoUgYGBBXtgVyg5OZng4GDX46CgINe6kZ6USUtLIzIykqpVq9KhQwdiYmIAx1qPX3/9NQCzZ892rWfpC/n1wWfmzJls3bqVrVu30q1bN7p27eqzmEWkcFPSdCO/ksSECRP405/+RHBwMMOGDWPMmDEFcDRXL7c1irPdCzzPMn5+fmzdupWkpCQ2btzoWtz5ww8/ZPLkyTRr1owzZ85QrFgxn8WcXx98Mh/vrFmz6Nmzp89iFpHCTUnTjfxKEu+99x7jx48nMTGR8ePH07dv3xx1FEZBQUFZWoFJSUk5WsmelClfvjx33HEHixcvBqBevXosXbqUTZs20bNnT+rUqYOv5NcHH6c1a9ZQrVo1wsLCfBaziBRuSppu5FeSmDZtmqs77+GHH75uBgI1b96chIQE9u7dy8WLF/n888/p3LlzljKdO3dm+vTpWGvZsGED5cqVo0aNGvz666+cPHkSgPPnz/PNN99Qr57jpjbOW/Kkp6czatQoBgwY4LOY8+uDj9Nnn32mVqbITUZJ0438ShKBgYGsWrUKgOXLl/u8lZIfA19eeukloqKiAMc1yPDwcB555BEaNmzIlClTmDJlCgCdOnUiNDSUunXr8tRTT/Huu46Fnw4ePEj79u1p0qQJzZs3p0OHDvz+978HHIknPDycevXqERgYyBNPPOGz1yK/PvgApKam8uWXX9K9e3efxSsi1wFr7U371axZM5uXBQsW2LCwMBsaGmpHjRplrbX2vffes++995611tr09HT77LPP2tDQUFurVi17yy232Dp16tjBgwfbyMhI27hxY9uwYUP7yiuv2PT0dPvcc8/ZmjVr2uLFi9u6devaFi1a2O+++842b97cNmnSxDZo0MD+7W9/c/3+YcOG2YiICNu4cWPbpUsXe+LEiTzjTU1NtaGhofbnn3+2KSkptkmTJnbHjh05jumee+6x6enpdv369bZFixauYzlz5oy11tqLFy/aFi1a2PXr11trrT116pRr/4kTJ9qnn346zzgKi0uXLtnatWvbPXv2uF6P7du3Zykzf/78LK9H8+bNrbXWHjlyxPV6nzt3zrZu3drOmzfPtd+rr75qS5QoYevUqWPHjBmT43c7z3edOnVs48aN7aZNm6y11p4/f95n59taaxctWmTDw8OveRzXm37jc36JOAFx1k3euOaJ61p+XS5peiq/ktWSJUvspUuXrLXWDh8+3A4fPjzPONatW2c7duzoejx69Gg7evToLGX69+9vP/30U9fj8PBwe+DAgSxlfvvtN3vrrbfaDRs25Pgdo0ePtgMGDMgzDmvz58181qxZtkGDBtYYY7///vvLxmCtdx98GjVq5Ko3Pj4+xwcfp9TUVFu6dGk7cuTIa3q+C8vf3fVISVPyklfSVPesD1zJKM3k5GTq1KlDWFgYkyZNArKO0rTWMn/+fOrVq0eTJk2oUqUKSUlJeXaj7tq1i+3btxMWFkaHDh2oUKGCzwa+vPjiiwQHB/PJJ58wcuTIPF+P/Jrq0ahRI7788kvXvE5PdOrUid27d4C3dgQAACAASURBVPPzzz/z4osvAjBgwADXtVNjDJMnT+bnn3/mhx9+IDracbP2Jk2asGXLFrZt28b27dv529/+5qpz48aN3Hbbbbz00ks+HZXbsWNH/P0d91Bo2bIlSUlJeR5bfo0O9jYOkZuJkqYPeDtKMy0tjWPHjjFu3DhXUqlXr16WZJU9qbz22mvce++9eSaVr776isDAQBISErjrrruYP3++zwa+vPbaayQmJtKrVy9Xkncnv97M69evT0RERJ6/uyDk96jcxYsX89hjj/HNN9/keV36wQcf5Pvvv3ddly5RogSTJk2ifv36NGzYkIkTJ7ricC5XmJyczCOPPMLp06cvGwc4pgTde++9V/5iidxglDR9IK9ElFuZjRs3UrJkSYKDg11J5fHHH8+SrDInlW+//ZbU1FTuvPPOPJPKli1bKFWqFACPP/44sbGxlx34smvXLh555JEsA4cyD3xxvkE7Bw41adKEOXPmkJiYSPv27bO8QTsNHbOW1eu2UKlmJFWCo5m9KsWnSeX48eN069bN68FOecW8detW6tWrR/HixSlevDgDBw50W++gQYP48ssvXfUeO3aM//znP1nqdZ5v57KJ69at4/bbbyc4OJixY8fm+HDirLtOnTr8/ve/p1GjRuzfv5/p06fTokWLLHU7P1A9//zzWGtp06YN0dHRJCUl0aZNG3788Uc2bNjA5MmTOXPmDPC/5QpjYmJo3749Y8eOvezo4Ndeew1/f3969eqV47UQuVkpafrAjO+CWLw2kacmwFMT4O2ZSWzY6z5ZJScnk5qa6kpozoSROVk5k8q0adOYP38+zZo148CBA4D7pHLq1Cn279/P3r17qVSpEsePH89zxO93333H0aNHWbZsGatWreLjjz9m586dWUb8Llq0iK1bt7pavAMHDqRevXr4+/szbty4LG/Qzi7Yn+I+plLNW+n6p600u3cke7bM9FmLNy0tjYSEBCZOnOh1129eMf/pT3/i1KlT7Ny5k5kzZzJt2jS39X755ZeEh4e76j1y5AhdunTJUm+pUqVITExk+PDh/PWvfyUtLY0xY8ZQu3ZtV8yZz7ez7p49e1K8eHHS0tIICAigS5cutGjRIkvdU6dOpXfv3nzxxReEhoYSFBTE0KFD+fLLL2natCkAZcqUoX79+pQuXZrExETXcoVJSUl07tw5y3KFuY0Odv7dffLJJznOncjNTEnTB6oEN+f0rwmcObaXtNSL7NnyObUauk9Wu3btolixYq7pKb/99hvGmCzJylrHNJY33niDr7/+Gj8/v8smFWMMkyZN4u6776Z+/foUK1Ysz2khvXv35tZbbyU0NJRjx45x/Phx7rzzzizTQubOncuFCxdo3Lgx/fv35+jRo/zlL3+hRo0armkozjdoZ0uxSNHinDt9CICLF07h51/MZ1M9Nm7cSIkSJQgKCvK66zevmLfuPk2KqcqYr0OZOOccAeXquK23RYsWHDlyhF9//ZVffvmFBQsWuBKos94mTZowffp0AL7++mtKlChBjRo1qFy5Mg888ABz587Ncr7nzp1L06ZNmTp1Kl26dOH06dMcPHiQ+vXru36/s+79+/cTHBxMuXLlSEpKolKlSvz888+cOHHC9SFp3759bNmyhT59+jB9+nQaNmzI2LFjKVeuHKtXr2b//v1up0UtXrzY9XdXsmRJJH9d6TSxvHpOAN555x0iIiJo2LDhdbPG9XXB3Qihm+HLV6Nn+4239u6nFtiyVcJsmUqhtlmnUbbfePejNENDQ23Lli2ttY5RmjVq1LDVqlXLMkqzf//+tmrVqjYoKMg2bdrUBgQE2EcffTTH73755Zft2LFjrbVZR8IeOHDAhoeH5xn37Nmzbd++fV2Pp0+fbgcOHJilzH333WfXrFnjenznnXfmGLm6d+9eGxwc7Jqa8uDwbdYU8bMlylS3JcrWsOWq1vPZVI/Zs2fb6tWru2LwVcwxXcZb/2KlbKnyQbZkuUAb88Bbeda7YMECW6JECVuzZs0so3JHjRplg4OD7cmTJ+2zzz5rg4ODrZ+fny1evLgNDAy0ixYtsrfccoutWLFilvN933332cDAQFuxYkVbsWJFW7p0adu1a1c7ffp0O2jQoCwxd+zY0a5Zs8bu3LnTVq5c2RpjbJEiReywYcOstdZOmDDBBgcH2zlz5rj+7oKDg23p0qVtRESEffnll23ZsmXdjg6uU6eO6++uadOm180UI28UltGzVzMC+sCBA65R56dPn7ZhYWGufZcvX27vuusue+HCBWuttYcPHy7Ao7r+kcfoWf9rnbRvFMENOhHcoFOWbZlXt3GO0gTHxPjw8HD27t1LvXr1qFKlCp9++ikNGzZ0le/cuTP79+9n4cKFxMbGMnjwYGbMmMGvv/5K0aJFKV++vKuF8MILL7j2mTZtGiNGjGDatGk88MADecZsvbwWm1uZs2fP0q1bNyZMmEDZsmUB2LX+A5rc+QJ742dz8fxp0tMuulq8ztelU6dOLFy4kLp161KyZEk++ugjwLEQwuOPP05aWhrp6ek88sgjroUQvvrqK55++mlOnjzJfffdR2RkJI8++qhPYk7+7xKq1mpJp2e/Yc+WWWxe8grNH77Tbb2dOnWiVatW/OMf/6BZs2YAPProo7Rr144JEyZQrlw5Jk+ejJ+fH0WLFuXUqVN07NiRN998k1GjRrFx40beeeedLHXPnDkTPz8/Xn75ZVJTU/nLX/7C0qVLCQwMzBLzkiVLSExMZNasWUyZMoW//OUvPP/888yePZtLly6xcOFChg4d6lp5avLkya6/PYDdu3ezYMECt6tR/fTTT7luF9/LPGgOcPWcNGjQwFUmr56TGjVqAFl7Tho0aMB7773HiBEjCAgIAKBq1aoFf3A3KHXPXgP+/v5ZulF9tbrOiBEjWLZsGWFhYSxbtowRI0bkGcfVrphz6dIlunXrRq9evbLc6SPh+2lEdxrFI3/ZTa+RB7lw9lfg6qd6PPjgg8yfP5/f/e53HD58mCVLlvgs5oN7VmOK+AFQO/JhTh/9ySf1Tps2jW7dupGYmOhaNjGvmDOvRFW5cmU+//xz7r333ix1O7v6p06dSmBgIOXKlaN///7ExsbSt29f6tevz/PPP5+l/vxcrvB6lfjjYmaPjmDWa3WJ/8Y33aIvvfQSTZo0ITIyko4dO7rGIbhztSOxnZzd8c7xDbt372bNmjXExMTQrl07vv/+ew9fFc/kR5eyt6/dNeOuCXozfPmye7awdPd4qt94a59885ItU7G27f7XPfaJsSm2YqDnK+akp6fbxx57zA4ZMiRH3eWq1rOdBq6w/cZbe+8z39hKQVF5xuLNQgiNGjWyNWvWtHv27LE//fSTLVWqlK1du7Zt0KCBnTBhgivmkJAQV53ly5e3J06cyDPmslUibImyNWz3v+6xd/dfZP2KlvDJa1GvXj37zTff2Nq1a9sZM2bYyMjIy65MNG7cOBsQEGBDQ0Ptq6++ah977DHbvn37HF39RYsWtbVr17bff/+9/eabb2x4eLgFbOPGjV1dqwsWLLDWOrpsw8LCbFhYmH3hhRdsenp6nufkRvfkuFRbplKofeTFn11/+77oFvV29axZs2bluETi7I536tSpU47LDXFxca7HZ86csVFRUXbOnDmubQ0bNrTPPfecTU9Pt7GxsTYkJMRn5zy/upQL08pjqHu28HhqQu7bPxhasHEAFPHz57Zuk1j0z7ux6WmExzzpcTfqd999x4wZM2jcuLHrJsyjR4+mU6dOtOn+Aeu/GoJNT8XPvzhtHnnfbQzOhRCWLVtGUFAQzZs3p3Pnzlm6pzKPho2NjeXxxx/n7rvv5uLFizz++ONMnjyZCRMm8Nprr9GhQwc6depE48aN2bFjByVLluT+++9nzJgx3H///W5jbtvjX6z6tA+zx9QDY4jw0WtRt8MHdO8zhJRzlj5P9COgVGXq3/7MZeteu3Yt0dHRrF27lpdeeonGjRu7eiJGjx7N5MmT6dmzJ0OGDKFv374UL16cTz/91NVVnN12O4R2zw4B4BjQP+MD/rX4uysMft2/kbKV61K2sqNbNPRW33SLOrv7AdcAv7zkV29PUFAQXbt2xRhDixYtKFKkCEePHqVKlSrevlQ55FeXsrev3bWipHmT8+ZabGatW7fO9dohQPXQ1jz4x00e/f4H/7iRlKJ1GfO14x+wWHAPHh8+l+/nu/8HBFi1apXrnw9g6NChrFixwvUP6LyxNTiuhX7xxReXjbn7X3Ney8vP1+Jq627dujWbNnn2Ojsl/riYDV8Nwdo0ImL6wdCsXfjWWoYMGcLChQspWbIkU6dOJSoqisTERHr37s2hQ4coUqQI/fv3Z8gQRxI+fvw43bt3Z9++fYSEhDBr1iwqVKjgVVwF7dzJZEqV/1+XZ6lyQSQnx2Yp465bNPPfXfZuUXCsnvX+++9z+vRpAgMDef3113NcKnG+zgsWLCAxMZF58+Zx9913M2PGDEqXLs306dNdr3Pnzp2ZNGkSHTt25N577+WXX36hd+/ezJw5k6FDh+baHd+lSxeWL1/OhQsXeOaZZ0hMTORf//oXf/7zn3ONY+HChaSlpTlaUv7+PPTQQ8TGxmY534MHD2bIkCHMnDmT48ePExwcTL169Wjfvj2TJ0/OErPztXP+bSQmJtKlSxcWL17s+ttw99pNnz6dcuXKsWLFCm9Pa4HQNc1C7qkJcM/TiylfNYJyVerS4veeXz8AePLJJ6latSqNGjXKss+x5Hi+ntCKOf9ozJIP7ufihdP5fiy5ye3N69ypq7+mk5lWtXFIT09j3ZyB3N1/Ed1e2MnPW3wzx/X111/nrrvucq1Elds1rsLG4t0gOOfKWw8++KDr+DIPzipTpozrf/Drr78mICCAwYMH06tXL/7xj39QsWLFLP+DixYtYvPmzVSpUoVKlSrRpUsXIiIi6Ny5M1OmTGHIkCE89dRTTJ48mZCQEEJDQ6lTpw4JCQlUq1aNzZs3c+eddzJjxgyWL19OZGQkkZGRLFiwgMGDBzN27Fjefvtt7r//fkqWLMmCBQsYO3as2zgqVapEUlISx48fZ8OGDcybN4+BAwdmOd///Oc/SUhIICYmhrp16xIYGMhdd93F8uXL3S6q4fzbaNWqFS1atMj1tcvcwvRm5bFrRS3NQs75RnfvgGWUKh/E3PHN2bkz7+7LZ555hthYx6fmPn36MGjQIHr37p2l3jUz+xHT+U1q1G3HrtgP2bZ8LNGdXs01hvzsUs7tzQuufjQsOOLesuw1jib6U+3XXqya4JuY8/P1yK1ud/V6G4e3XZInT55ky5Yt1K5dm6efftrVWnJ2qyUlJbm6jKtXr86UKVMwxnD27Fl+/fVX5s+fT9WqVV0rHg0ZMoT//Oc/HD16lKCgIMqWLcu7777LlClTspR12rp1KwMGDODChQv4+/vz7rvv0qJFi8u/iB4oVT6I307+r8vzt1NJBDbKvVvUeQmhatWqrFy5ks6dO3PvvfcyfPhwV7fowoULXf+D//rXvxg2bBiDBg3ivvvu46GHHqJYsWKsXLkyy+t84MABPvroI9q1a0f16tV54IEHXEnFOZ94xYoVHDhwgMmTJ7Ns2TIuXrzI8uXL8fPzIzw8nB07dmQ5f844fvrpJ1ccO3bsAMgzjmHDhlG+fHni4+MZNWoUjz76KAkJCVnO97x58+jduzcvvPACoaGhHDx4kHvuuYdx48a5WrrOsqmpqSQmJjJ37lxWrlzJRx99xLhx4+jevTujRo3KtUs5s//7v//jvvvu45VXXrnCM5x/1NIs5DK/0fn5F3O90WXm7voBQNu2balYsWKOek8d2UX1Oo6Fz2uGd2Dftjk5yhSE3N68Spa7+ms6ALs3TiNxx3zaP6pVbcBdl2TurXpnooiOjubTTz/NsvKSs1V/+vRpEhISKF68OOnp6ZQrV45du3Zx/PjxHItSOD/YRURE8Oijj5KYmMiBAwfo0aMHffr0yVLW2XNy2223cfjwYT788ENGjhzJ8OHD3facdO/e3dXaCgkJcV1bdie3BUncrZ4VGxtLlSpVqFKlCrVq1aJ79+706dMnS7eo83/wp59+cnU/zpgxg3r16tGmTRtOn87ak5OcnMyhQ4dcNx+oUyfnYhrZe08OHDhAREQEoaGh1KpViyJFiuT5XuCMw/lekFccVapUITg42BVH5t4cZxxpaWkEBwe7Vh6rVKkS58+fz7LyWPZFNQ4dOsQvv/xCuXLliIyM5PDhw25HeDuTNDgWBHEutlHYKGkWct680Tnl1n2ZXYUajdi/3XHdb2/87CyJqyB5u5pS5pt9W2vd/gMuXryYbcvfoEO/r/EvplVtwLsuSedgjxIlSmRZeSlzq37ZsmX07t2b9PR0GjZsyIULFzh27BjFihUjOTk5y4e1zG/mc+fOpXr16owYMYITJ05QuXLlLGWdCbZ169b07duXZ555hlOnThEYGJgjwTrNnDmTrVu3snXrVrp16+a2BeOUeRDcF6/Xp3ak+2lfDz74ILt373ZN+zp37hxbt27N0i26ZcsWgoODGTFiBH/4wx84d+4cS5YscU2pyO11Dg0NdV17P3LkCIcPH3Y9n1vvScpFy75Twa7lOi+lFeHjhe7fC6y1lCpVKst7gbs4nFNSMsfh7DVwxuHn5+faPmnSJLZu3crDDz/sWnls4sSJtG3blgkTJvDQQw8RGhrK2bNn6dGjB4cPH6Zu3bqcP3/ebZfyrbfeSvHixQkLC2Pp0qVMnDjR7YckuHYrHilpFnLeXntxVya7tj0+ZOfayXw1rhmXLpyhiF+xqwv0CuX25lWhhmdzVp2jVjP/Ay5cuBCAQYMGcSnlDIve68CXYyNZO0vzEnPtknQzUtP55uts1Tu3Z27VO8uULVuWSpUqERQURHx8POXLl3f7we6JJ55wLRH46quv8tRTT7ltLU2cOJH333+fuLg4HnvsMdatW8e6dety9Jxkv6b/8ccf07NnT8D9Nf1Ni19mzayn8C9akqIBZahc81Yg97nEkyZNomvXrq65xBEREQwaNIht27a5ErVzVOqcOXOYNWsWZcuWZcKECdSsWZOkpCSqVauW43V+4oknmDx5Ms2aNePEiROuhQjc9Z4UK1GOtIvnADh36iDFipclr0sZQUFBpKSkuN4L8opj5cqVzJo1yxWHs2zmOJx/A9WqVePWW28lODiY+fPnc8stt+RYVMP52tWpUwdwdDN/++23AOzYsSPLa2eMISEhgTNnzrBy5UoqVqzIvHnzqFmzptsPSStWrGDu3Lls27aNHTt2MGzYsBxl8ouuaRZy3lx7ccpt2Hp25avV495nlgJw6shuEn9c4MOovZMfI3h/+uknt9f8blaZW/Uly9V0dEm+8WmWMs6Rmk888QRHjhzJ0qpfvnw599xzj6tV73zto6OjSUhIoGzZsixYsICoqCi3H+xmzJjB7bffjrWWDh06MGPGDNq3b5+lrDPBvvfee7z55ps8/vjjDBo0iE2bNvHZZ5/lmFaT+Zr+lClTGDZsGGFhYYD7a/oAjdr9gSbtL/9m6+20kObNm3PmzBlSU1O5ePEin3/+OWPHjnV9oMv8Oi9ZsoTY2Fj69+9P8eLF8+w9qV63Pb/ud7QIE76fRtkqYXleyvAmju+++46QkBDKlClD6dKl+fzzz6lVq1aWOJxl77//fl599VXKlSvH4sWL6dy5s9uYmzdvzvfff09oaKjrLjveTE9p27Yt+/bty3FOruWKR2ppFnLeXHvJ3n2Zl/NnHCvE2PR0tiwbRb3b1BK70XnTJfmHP/yBFStWZGnV79q1K0urPj09ncTERJ599ln27NnDmjVr2LJlC1FRUW6TysqVK6lVqxZJSUn07t2bPXv2uE2w06ZNIygoiJIlS9K9e3fi4uLo0aMHy5Yty1I+85vutm3bKFWq1GWv6XvjX+uasz4ugR4v7eXJNy/y5qTP2XTS/f9gXFwcISEhPPbYY64Vv8LDwzl+/HiW17lGjRqu3pPg4GAGDBiQZ+9Jywfe4reTiXw+MoSkXUtIOXc8z0sZ3sRRr149ihYtSmJiIvv37ycmJoZ58+Yxe/ZsgoKCXNeIQ0NDmTNnDtOnT+fgwYMsW7aM9u3bu405Mf13JB8+S7kqYbzz4TLSqvbMs0sZPLu8lN8rHuVFLc1C7moWIADo2bMnK1eudI1YfOWVV+jbty8/b/6Mnd85Wm8hjbsS3uKJa3J83ihMC0Ncrzxt1U+cOJHw8HAqVarExYsX2bBhA9u3b8+yPvKCBQuYNGkSX3/9NcWLFycoKIjly5fTvHlzPv009xZslSpVWL9+PeXKlePHH3+kYsWKbhNsYGAgy5YtIzU1lT179hAWFkZQUBA//vhjlvLON93U1FTXbduyz6fMzc41k0j4fjpVgqOJeWAckPvc0tz+B52XEJyvX/b/wU8//dTVnduzZ09atWrF0aNHGTVqFEWLFqVv3740bdqUtWvXkpKSQuPGjXniiScwxrjtPSlZthq/e2IO6/8zlLMn9vs8Dj8/P5577jnGjBmDMYb338+5KMl9992Xa2zuYi4aUJqg+o7FQwASvp/B5UbHHzt2jG7dulG0aFH69etHjx49cpRPTExk4sSJ3HLLLQwcOJBHHnmEPXv20Ldv31xHYv/pT39i3rx5FCtWjDp16vDRRx9Rvnz5XGO+HCXN68CVdl8CfPbZZ7lub9RuCI3aDfFdkHJDybw+clpaGk8+6f7DmrOVcvLkSerXr8+TTz7JqFGjWLhwIWfPniUoKIiXX36Z0NBQ4uPj+e9//8stt9zCiBEjKFWqFGvWrOHtt992fbDr1q0b06dP5/3336dHjx789ttvjBs3jvfff5+dO3e6bZk6b2/m7+9/2Wv69W9/hls7voTBELfoJWLn/hH+8qHb8vnxPzhkyBDXAhGeKixxeMrb0fFpaWns3LmT1atXExUVRfPmzXPtji9SpAhffPEFJUqUYMiQIa4Vj9x1x3fo0IExY8bg7+/PCy+8wJgxY3jjjTeu6JiUNEUki/+16DvR7lnHG/S+jC2evkG7M3nyZNeAkePHj/Pkk0/y4osvZknG1loGDRpEnz59KF68OM2bN2f9+vWAY2DPnj17uHDhgqvnxPmmu2TJEnr27Mn48eMve02/ZJn/DYip1+opln7we6+Ow1e8mZdbkDHkFYc3Med2Hb39o7n3QvTo0YMPP/yQEiVKuFb+ctcd37lzZ1asWMHIkSM5cuQIKSkpVK5c2e010I4dO7p+btmyJV988UXuAXtASfMGou5LuR506tSJTp28v41ezZo1AdiwYUOWbuLq1aszadIk1230PLmmf+7UQUqWc5TZt+0rKtTIOaXhShSW/8HCEoe3XduXLl3KMjBs7ty5/PDDD1y8eNH1ISk5OZk//vGP/Pvf/6ZRo0YcPXqUf/zjHx7Pxf7www/p3r37FR+TkqaIXJX8XMXIm25ib67pb5w3nGMHtgKGMhVDaP3wP704YvGGN13Ks2fPZsmSJa7nBg4cmOPes19++SVFixbl448/BuCuu+7yeKWo1157DX9/f3r16nXFx6OkKSKFki+6id1dx7vj0Rm+CVJ86mrv+pKXadOmMX/+fL799turWiFMSVNERK65pyZAetr/pveULFeTuZM+Z/VS99dAPe2OX7x4MW+88QarVq2iZMmrWyFMSVNEbgiFYVCNXJ38mmI3aNAgUlJS6NChA+AYDOSs01tKmiIiUmjkx7San37Kea/cK6UVgURERDyklqaIiFx3rlV3vFqaIiIiHlLSFBER8ZCSpoiIiIeUNEVERDykpCkiIuIhJU0REREPKWmKiIh4qMCTpjHmWWPMXmPMBWPMJmNMm8uUb2yMWWWMOW+MSTbG/M1kW23XGNMuo64Lxpg9xpgB7uoTERG5UgWaNI0x3YGJwGjgVmAdsMgYc4ub8mWBZcBhoDkwGPgT8HymMrWBhRl13QqMAd4xxnTLvyMREZGbUUG3NJ8HplprP7DW/mitfQ44CDzjpnwvoCTwuLV2u7V2DvAG8Hym1uYA4IC19rmMOj8ApgHD8vdQRETkZlNgSdMYUwxoBizN9tRS4DY3u7UC1lhrz2fatgQIBEIylcle5xIg2hhT9GpiFhERycxYawvmFxkTCCQD7ay1qzNt/xvQy1obkcs+S4Eka+2TmbbdAvwC3GatXW+M2Q18bK0dmalMW2AVEGitPZitzv5A/4yHEcAuXx1jhsrA0WtcVnFcednCEsf1GHNhiUMx31xxeBuzJ2pZa6vk+oy1tkC+cLQOLdAm2/a/A/91s89S4N/ZttXKqKdlxuPdwEvZyrTLKFO9oI4v0++Ou9ZlFYdivpnjUMw3Vxzexny1XwV5TfMokAZUz7a9Ko6BPrk55KY8mfZxVyYVOHZFkYqIiOSiwJKmtfYisAnokO2pDjhGvuZmPdDGGFM8W/kDwL5MZX6XS51x1tpLVxOziIhIZgU9evYtoI8xpp8xpr4xZiKObtspAMaYMcaYbzOV/xQ4B0w1xjQyxnQFRgBv2Yx2eca+QcaYCRl19gP6AG8W0DFl934hKKs4rrxsYYnjeoy5sMShmG+uOLyN+aoU2EAg1y805llgOFAD2A78wWYMDDLGTAXusNaGZCrfGJgMtABO4EiSIzMlTYwx7YDxQEMcrdA3rLVTCuJ4RETk5lHgSVNEROR6pbVnRUREPKSkKSIi4iElzXyUfWH5wl7v9Vq3Yi64ukVudrqmKSIecSZjmw9vGvlVt2IumLqvx5ivlJKmj2Wc4BrAg8BFHCsWJeNYVP6cMcZkP/nGGD8cfxPpvqw3P+v2pN7C9noo5iurW0T+R0nTx4wxA4GBQDGgFI7ViX4BvgI+sNb+N1PZUGvtnmz7+wHpubzBeVxvftbtTb2F5fVQzFdddwBwO3BnRp0JwF4cCfmSMyFnROqfTQAAEupJREFUTsx51VcQdSvmwhVzRtlC83pcFVuAa/bdDF/ASeBZIDzj8S3Ay8B+4DwwFPAHTEbZHTjuL/r/7Z17tFxVfcc/Z+7NzYM8CCSkISHgA3tDiAk+gJaUoqJAQqUq4BKxIghSKKUESyOCWh8rUpWli1ZWVB6WFFQ0taAuGkF5BAnGQCBWIYRS5ZWEECQPCJjcX//47sk999yZe8+eOXvuzNz9W2uvmTnne77ne/ac2fvM3r/fb8/K8CSuHIwawty8KR2Fc/vwNkt9RM11c98IbAJ+6V53AQ+jRCPjMsfPrMDXMcDvJQh31Nx8mpupPuopDe9U2rkAC1B6v073uSOz/xNu/2zg3ajx+qa7KZ4G7kELbU9JHbMduDwvr/schNuT97hmqI+ouW7uvwHWA38B7OX2zUIJR15EnfKxbvspQA+wAiUwOSCjowSMpfc+DcIdNTef5maqj7rb+aI6jFgMYB6aSzo6tW0EMMq93w81UP8CfAG4GS1PNhv4KFo8+zfAk2hY7SsojWBuXvc5CLcPb7PUR9RcN/f3gK+neDtS7ycC30erEXW49ytRh/ww8BTwE9QAjnHHzAd2heSOmptPs9vWFPVRdzs/1B1NOxXUUK0AHkcOGf2GB4ClKFfiycBXMzfDZPRkdZG7EXpQ2sDcvO59EG4f3mapj6i5bu5FwP3AiBS+Cxjp3h+N5preDfwMuNjxHQlcgDro9Wgu6nr07/bmkNxRc9NpPh4Y3Sz1UXc7P5SdTDsWYB/gJuAR4Dbgk8CfoeGBC9ESaX+eOaYz8zkBjkCN1+Ep3huB3+bldcdlh+qqcReuuVbdUXNTaZ4DbHWcfdbCdftHAltQI3YxcE5m/zS06tBlwM8d95vdvrkhuKPmptP8FmCcJ3cQzXna8MHKkHcy7VKAUur9FOAs4DvoaWkjWkv0ETS/1FmFo4NeR57TgQ1pbncjnIsa3l+gtUT38FbSktqWpN6f7o4NptlXd9TcXJoz+48E7kALLPwANVKzUeN2A7Auy5W9DtQhfwZ5Pqa3HwHcDqz14K7U2ffhjpqbT7Ov7lCa6y0x5KRAS5LkIDRJXTKz553L9Ew0Bv8KsNnM1qWwW1F4wAtmtj3DdTwwCTWuuy31RSVJMh44BA15vAI8b2aPun2dWXwFnScAk8zshhCazWxpJR3VdEfNzak5s/1g4CQ0f3oA0I2e9m8BrgZuz/K62NGSme12n5cD/2NmF7nPJTPrSZLkUOBEtJLRdOTw0Ycb+ge3Z0IN+nBHzc2j2cx+mubIozu05nosdpoFWJIk85BDxYloOGwtmpheDtxhZi8NgH3IYe8G7jaz56qcowP929hlOYLRHZ7yDTkUmn11R83NoTmFm4qG1XYAr5jZ5iRJxgGvR0/wrwLrzWxnkiT7O807kbfiBjPbmeIa4a5tmZltTJKk08x2Zc43GXgt8EfH/biZvVwJmzluBHA2+jdSipqbS7M7Nrdu9JBXuGYz21gN52WW8y9pLNUL8jz8L+B9wNvQ2p4PoaG37wLTyw89A2A3oGG1aQ7bicbzL0VP/unzdeEmyIEJqffV8J30DuGNB0aF0jyIjn66o+bm0+zenwesRo3cNuR9+0Uy80tOdxq7FbgTxYC+E+e4McBvpxMXD5rjd9bBwLGIUXOTaa6Az627SM1FluAnaPeCJqI3VfrCkGfXWjTeP9UTexSavH7Gva4EPly+Ed0xo1HDe7gn/pwQmt02Hx0fjZqbTvPhwDEofvMKNIR8AnLnfwx4FlhMb8c9EPZpFOJSxpac7oecpq7MdXbRm4Bh0iDYTsdXxr49am4uzTXonhdIc6Gd6ZB3Oq1egNPQP4SZ7vNo+rpJvw65Pp/pif0U8GM0GX4yatBeQEMTPwTegSbEe9AwiQ/+zBCa3WcfHZ+PmptO8zjkhfuNCvf6CORotAm4xm3LjXXbv42ck55F8Xi3ASdmjj3Kbf93D+xNUXNzafbVHVBzRee6mtv8IsmGY0HDX78Brsxs3zNcgDy9vuGJvRRNdI9228cjz7HzUFzSDtTI3er258aH0lyDjqi5yTS7/dejOLfyUO0o+v57OAt55M7ywbrPdyEv4dlu320ozd9W4BoUxnAVClL3wUbNTaa5hnspiObC2/yh7nTaoQAfcV/WetRAvSa1740o5dOpPlhgDDC3wrlKwL7Au1BDN99t98Wfgbw582j2webWUYPmwuu5AZpbsZ6PQ3Gdp2bwnalz/x74S0/s/sC3gI+5fR3Ie/itKJh9FfL27UHDx3mxfxU1N59mz3vpvaE0F97eF004XAt64lmC5p42oKen/0Y5P2/1wZKaa3L4Eqk4PbftJHrTZHnhU9vmAF8H1qBhjoE058YOUk/9dPhgi6xn37obDvWM5oFGISekXWj+81xgX7d/EhpO3uqDTZ1rXzK5Qd32TpTR5bPAH3ywKR1XIu/KPJoHxTZIc1vWc+ZeyosvXHPe34tPiSEnBZhza96FGtDZwGFolYhpKLTgFjPbWgO2E4Ug7U6dK3Fvz0Oel59I7cuFz8QwTQQOBd6AXLqnAz8t6/DB5qyr87O682JD1bNP3flgW7WeU9vno6f6uaiR2ojqdCTwLTP7ci3Y1DH9Ql+SJPkhiiV9Xy3YJElORPPDc1HO3YE058YOZNU058W2ez3Xgq9k9dZzURY7zRotSZJ90HDFh9Hww+/QWPudZvZkQdjn0NDFo8AK67smYoKcRUb54M3FBVYKNh7gWnNjc3CV0PzGSzmxU4FjKbieK+AHq7v9UzrasZ77YJMk2cvMdiRJMgb9++1GHfhI4DqUjWW3L9bhx5nZtoyGBCVzuAr4mpmt8cFmHjqmouQOM4DXoN/IHh0+2Bx1Nzar2QfbzvVc5iiiruut5yItdpo1WpIky9BNuxo5VuyHOrGNKEP/t80F3RaAHemwPwCutVTwug8+SZL3AKvN7Pep40sAKcxIM3vFB1uNu0KdjTAtHuuDDVLPNdRdW9ezez8TWIj+lT+OHjruA+4xs82Z43JjK+DXo4eONQ7/ZAo3EnUEubDlenGfh+oBpY+OwbD0vb62ruda8APweNVzXqy3WYAx33YvKN5oB/DG1LaxaIWJ7yAvriUotqhI7EtoxYwuNF/gg/9TNDH+Mko9dRowIXNdHSju6XgPbHdA7vmB6tm37tq9nrtRSMujKPvQYrRE2ErUiH4feGfquNzYAfD3AQ+gh5l31YidAnwI2CdzvhK9fwg60MNNbuxA3BXaglGe2Lau56K+l3rr2b0mA+Fqbv9DkLZ7AT7mbt6yB1g2+fACFH90eChsDToWoSTeH0Iu4NvQ5P4NKGC5E6XA6nE/orzYGQG5FzVJ3bV7Pc9AISm3AuNS1zUFeSHfjR4aznLbc2N98Z7Yq5z+Le4a55PJMOOu7eNo8eK82JEBuZe0eT2HrDuv7zBY+x+KuJ0LWurmWVyguduWXvS3C8UNXRkKW4OOxe6HMsHtOwh1Bncjz7b/RUOPa32wbn8Q7iaqu7auZ7f/J8A/u/f9UpKhhalXohCB3NiQ3Oif0WLU0N+OwgyeQY32mxz+c2joMTfWvQ/C3e71HLjuvHQEa/9DdzDtWlAqqBeBT5N6WkvtXwNcEBLrgf97lB3jgxX2dyFPzc/Qm8UmL/Yj9KbsKpy7SerOh7uV6/lCNKfVncF2ufeHoAV93+aDDch9Mvq3cY7b3omGmf/JfRe70cPDDuByD+yFyOkrFHc713PIuvOq56Lb+z6/oZDk7V6AS1D+xFfRk8/5KN/o7cA63BNgSGyN+H5ppVDu0x5gr1qxobjRcMuTOesuN7YB3P3mVAaoi9zYENzIm/FB1FCeWQF/qLvuMT7YgNyTkOfzERUwY9BQ+fdQWMO+HtjRyGM0FHc713PIuvOq5yymyBKMeLgU4EAUsHsL8qT8HcpWMa9R2Frw7pg9gfmoQ6gaPO+DLYqbvos3H4KGF5ehodI+1+eDDcWNHIz6LfKcudaP4xJY5MW690G53et4NKT7IrDdXeN5KNnCwyjfZ25saO7UtSRUTnR/PfIErQkbihvl9/1XlP93wOvzwYbmTn+feerOFx8KW3SJISeeliTJIajhnICcK35hZk+l9k9EmSgsFLZOHS8BK83sicx1zUY/nNF5sWb2REjuCnVfQsNHO931bbMqa+n5YENzZ46dgzKg9Lu+erBFcida+PcElMh9Lpr/XIrWaNxQK7YB3OWHhd1JkoxGy6xdbWb/WQ+2KG6UHL+8fRRKunE0csx6E/rXtxR1XhvzYs1sQ+achXEjBzcrtzsVrrVPXbjfRi68ey0cW+07LMpip+lhSZIsAj6IMss8AzwPGMp1eBPqBHa5G+eSEFjTaua16njaYXvQ0MyNwL3WGw+4KC/WF++JPRAtRLu9yveQDpjOjQ3JPRg2c1xubAO4SyiN3mQ0zPV/aMHrLSnMBDN70QcbkrsC9mngLjPblMJ2opVbVuXFmtn9Ibmr1H8H0OMebvfUXb3Y0Nyp40YAbzGz+4rGh8LWbT5/S4dzQWPq24Bz3ecD0GLBX0aLqq4EjgmJLZj758gbrYyd5IEtBeTeBz0JL0Od7AxSS2Sl6mEeSjOXFzsFJXUOwe2D7fbATvXU7Ms9Ds0DPeeOe8CVFSh358zUMT7YJCB3Frsa+BVaCPnz9HVsyY0NyY08rd9AlTAIUkONPtiQ3INhKxybGx8K26gy5AJapaD5wlVV9s1BwcZbUZaNINhhouPvUBzWcuRSvgkt9XMceqIvoU53HXIvz4vtDsgdChtSczfwSbSQ71vdd9ENnI4SNfwKzY9OdvtyY33xBWJXoTl9b2xIbuAfkFfndciZ5U/oH+IxHg1FL/TAjgjInRe7AHnd5tWxALg4ELbPYtTB+oJGnKQdCnAKGus/2n3uE9uEMlasRBPpQbDDRMe/oQDwEnqaPx81nD30dgxfQYH6ubHuPEG4W1Gz474HWFjhXu9Ac1yPAbf5YkNyt6jm+9CIyj0oNOIJFNM7j9442nPRbyA3NiR3q+poSF/QqBO1ekFzFneiyebZVTArUDxREOww0PFp9LR+Ef2fJl+Phr0eQ53Apzywl6Gn8hDcobAhNV+G4tyuBu6l9x9R9mHmHcCvkXNIXuycgNyhsCE1H4MSSpzmtk939b/OfRerUazhI2gx8rzYr6HRgxDcLamjYX1Bo07UyoVeh6mj0FzLH9Hwy0ko3unNwAXIdfugUNjhoAN1FBNTDdEI+jZG3eiJc7oP1n0Owt2Kmt3nI1ES8CuAKRXu+wOQ1/M0H2xI7hbUfBh6kDmuAuYwNDpQdorzwU5D89IhuFtSR8P6g0adqB0KGjufjJJh/wcaEnsZDRk8RioTRShsO+ugtzN+HbBf5lwl93o5ymSSG+veB+FuRc3lbejf1dnImeUFlPXoWJQY/hQUO7nKBxuSuxU1O+7RpJKIl0vq+/kC8KAvNiR3q+poRIkhJ4NYkiT7oaTXC5GTxU4U5vFj4GfA3shL8V4U9lE41sw2DjMdm1Bmj2dR6qxlZrbDfR8L6E02nge7HfhtIO5Q2JCat5vZXaQsSZK9gTPoXSR4G3Ik+iWw2FLhEj7YkNytprna8liJ1sZ8ALjOzK7wxYbkblUdoS12moNYkiTXA7OQB98WFBJRXgD2GeBSM1sVEjuMdRzmsE8BXzKz5b7YkNytqNnhx6OEDJbaVkIOWWNRCrUdprjF3NiQ3O2iOWuJkgu8H/gRsCUn9iZ3vhDcLanDzF6thivcivrL2o4FDQVsx3l9prYdCJyKXPvXowYqCHaY65iBhrqWo7X/vLCDaK6LuxU1p/YvAc5CmWDGV7n3J9aATQJyt6vmvX2xIblbVUcjS8NP2EoFPb2vBY6ssr8LufQvDoWNOqLmgrk/gBwn/oDS0i0B3ouGd0c7zFiU8u0SD+zsgNyhsI3W/B4051zGllO//aMH9tAqmovgbkkdjewTzGKnOXDl6Iu5A8UKHUyFJNjI83NNKGzUETUXzP1NFID/WpS0fS3KA/wgcqp4O/C3aIWL3NiQ3FFz82luJh0N7xeG4qStVJBr+RrUKJ2BXMnLyymNQdlslobERh1RcxHcyGHoUuCLmXt8FvBVNP+5GTkSXeuBvSYgdyhs1NwGOoakTxiKk7ZaQUMR30UhEpuRw8W1yNX/flIB+6GwUUfUXAQ3ymXb7d53kXLfd9vej4bG5vpgQ3JHzc2nuZl0NLpE71kPc+EWC4C/RuETvwZuNrNHGoWNOqLmIrndMSXUMO1OkuRslF1lTL3YkNxRc9QxkI6QFjvNGi1xy3QNJTbqqB3bLDqaRXPqmIUoi9CXisSG5I6ao45GWuw0o0WLtscSrUu4O09n64MNyR01Rx2NtNhpRosWLVq0aDmtNNQCokWLFi1atFax2GlGixYtWrRoOS12mtGiRYsWLVpOi51mtGjRokWLltNipxktWrRo0aLltNhpRosWLVq0aDnt/wFpqX0DUV2u7wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(count)"
   ]
  },
  {
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}