TUT_2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#IMPORTS\n",
    "import qiskit\n",
    "import numpy as np\n",
    "from qiskit import *\n",
    "from qiskit.visualization import plot_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 638.12x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#WRITE A BINARY STRING USING QISKIT\n",
    "#Qubits are always initialized to give the output 0.\n",
    "n = 8\n",
    "qc_output = QuantumCircuit(n,n) #create a quantum circuit with 8 qbits and 8 classical bits to map qbits to\n",
    "for j in range(n):\n",
    "    qc_output.measure(j,j) #measure the jth qbit and map measurement to the jth classical bit\n",
    "\n",
    "qc_output.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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V2dKXUJ9e+3T3ReDLfe0kInYApgEX91h1M9VYz/7Mj4gXU03h95nMnNdt3QG13+7uJuCsAfYpSVJdSl5CPVjv3HwJMAJ4vEf748BRfWyzkuos9F5gB+CdwPciYkZm3l7rM6GPfU7obYcR8XzgT5w4kQULFgDQ1tbGqFGjWLp0KQCjR4+mvb2dhQsXAjBixAg6OztZsmQJ69atA6Cjo4PVq1cDYwY+eknSVrVq1SqWLVsGwPjx4xk/fjyLF1fTpY8cOZKOjg4WLVrExo0bAejs7GT58uWsWbMGgPb2djZs2NDvb7ygyQ22UPZYjl7aqo6ZS4Al3ZruioiXA+cBt3fvWsc+LwcuB5g6dWruv/+mQ0wHWt577703WZ40aVJvPyNJGmLjxo1j3Lhxm7T1/Dd833333WR5ypQpTJkypfg3tmRyg2Mj4vaIeCIifh0Rt0XEMQWbPkH1OrGeZ4C7sfmZYn/uBv6k2/Jjg7BPSZIGVO/kBqdRTdr+EPBXwPnAw8C3I+I9/W2bmRuA+9j8vZszqZ6iLbUf1WXbLncNwj4lSRpQvZdn/wo4NzO/1K3tnyPiPqoA/ZcBtr8EuDoi7gHuAM6getXYVwAi4iqAzDyltvxB4BfAj6nuaZ4MvAU4vts+LwNur02w8G3grcDhwMF1HpskSf2qNzQnU71wuqcb2fyp2M1k5nURMQ74ONV4yweAYzJzWbf9d7dDbb+TqN7X+WPg2Myc3W2fd0bESVQzEl1IdRZ8YmbeXc+BSZI0kHpDcznVpc+lPdqPBpZt3n1zmfll+hiakpkzeizPAmYV7PMGeh8aI0nSoKk3NC8Gvlh7q8mdVE+oHkw1FOTsQa5NkqSmUu9LqL8aEb8CPkw1CxDAT4ATMvM/B7s4SZKaSXFoRsT2VJdhb8/Mb2+9kiRJak7FQ04y8xng34Gdt145kiQ1r3onN/ghsOfWKESSpGZXb2h+Cvh8RLwlInaPiLHdP1uhPkmSmka9T8/+d+3vv7Pp3K5dc72OGIyiJElqRvWG5uFbpQpJkrYBRaEZEaOAv6Oawu5FwBzgnH5eDC1J0rBTek/zQuBUqsuz11DNCvSPW6kmSZKaUunl2eOAv8jMawEi4hvAHRExIjOf3WrVSZLURErPNHcHvt+1kJn3AM9QvaFEkqSWUBqaI4ANPdqeof4HiSRJ2maVhl4AX4+Ip7u17QhcERG/72rIzDcPZnGSJDWT0tD8Wi9tXx/MQiRJanZFoZmZ797ahUiS1OzqnUZPkqSWZWhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYWGPDQj4n0R8XBErI+I+yLikH76HhcRN0fEryPiyYi4OyLe3KPPqRGRvXx23PpHI0lqJUMamhFxInAZcBEwFbgTuDEiJvexyWHAXODYWv/ZwLd7CdrfAxO7fzJz/eAfgSSplW0/xL93LnBlZl5RWz47It4InAlc0LNzZn6gR9OFEXEs8Bbg+5t2zce2RsGSJHUZsjPNiNgBmAbc3GPVzcCBdexqZ2BNj7aREbEsIh6JiO9GxNQXUKokSb0ayjPNlwAjgMd7tD8OHFWyg4h4P/DHwNXdmpcA7wF+SBWoHwDuiIjOzHywl32cDpwOMHHiRBYsWABAW1sbo0aNYunSpQCMHj2a9vZ2Fi5cCMCIESPo7OxkyZIlrFu3DoCOjg5Wr14NjCkpX5K0Fa1atYply5YBMH78eMaPH8/ixYsBGDlyJB0dHSxatIiNGzcC0NnZyfLly1mzpjoPa29vZ8OGDf3+RmTmVjyEbj8U0QY8Chyamd/v1v5J4G2Z+YoBtj+eKixPyszv9NNvBHA/MC8zz+lvn1OnTs25c+fWcRS9++jXDE1JarRZ7+p5EXLLjB079r7MnN7buqF8EOgJ4FlgQo/23dj87HMT3QLzlP4CEyAznwXmA3+y5aVKkrS5IQvNzNwA3AfM7LFqJtVTtL2KiBOArwOnZuYNA/1ORATwamDlllcrSdLmhvrp2UuAqyPiHuAO4AygDfgKQERcBZCZp9SWT6I6wzwPuD0ius5SN2Tm6lqfTwI/AB4EdgHOoQrNM4fomCRJLWJIQzMzr4uIccDHqcZTPgAck5nLal16jtc8g6rGL9Q+XW4DZtS+7wpcTnXZ9zfAQqr7pvdsjWOQJLWuoT7TJDO/DHy5j3Uz+lvuY5sPAR8ajNokSeqPc89KklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFhjw0I+J9EfFwRKyPiPsi4pAB+h9W67c+In4eEWe80H1KkrQlhjQ0I+JE4DLgImAqcCdwY0RM7qP/FGB2rd9U4HPAFyPi+C3dpyRJW2qozzTPBa7MzCsy8yeZeTawEjizj/5nACsy8+xa/yuArwHnvYB9SpK0RYYsNCNiB2AacHOPVTcDB/ax2QG99L8JmB4RL9rCfUqStEW2H8LfegkwAni8R/vjwFF9bDMBmNNL/+1r+4t69xkRpwOn1xZ/N3bs2CUlxUst4CXAE40uQtpS//ShQdvVy/paMZSh2SV7LEcvbQP172qPfvr0us/MvBy4fOAypdYSEfMzc3qj65Ca2VCG5hPAs1Rnj93txuZnil0e66P/M8AqqnCsd5+SJG2RIbunmZkbgPuAmT1WzaR64rU3d7H5ZdaZwPzM3LiF+5QkaYsM9eXZS4CrI+Ie4A6qp2PbgK8ARMRVAJl5Sq3/V4CzIuILwFeBg4BTgbeV7lNSMW9bSAMY0tDMzOsiYhzwcWAi8ABwTGYuq3WZ3KP/wxFxDHAp1RCSFcA5mfmtOvYpqUDtfr+kfkRmf8/gSJKkLs49K0lSIUNTkqRChqYkSYUMTUl9iojo+tv1XWplPggkqV8RsV1mPtejLdJ/PNSCDE1JvYqIXYGjqV6KsAcwF/huZi5vaGFSAxmaknoVEf8GHAo8BKwGXk81qfutwGcz89aGFSc1iKEpaTMRcRjwLeAQYAmwU+1zAHAasA/wicy8slE1So1gaEraTET8P2BqZr6hl3UvBc4H3gEcnJk/G+r6pEbx6VlJvbkN6IiIzp4rMvNx4JPAT4EZQ1yX1FCGpqTe3A08CFwTEe+NiD0iovu/F88CL6e61ym1DC/PSupVROwNfArYH/g58ANgJfAk8Ebg8Myc3OcOpGHI0JTUp4gYAbwBeCfwSiCBSVSv4fu7zLyjgeVJQ87QlLSJiNiLKih/TXWJ9oHMfDoidqEKzp8CT2Xm0w0sU2oIQ1PS8yLib6jOKp+mej/tKODHwLXAFzPzdw0sT2o4HwSSBDx/D/Ns4P8CRwG7Uk1oMB+4APhZRLy51td5aNWSPNOUBEBE/DVwRGYeXlt+fs7ZiBgNXAq8GjgyM3/TuEqlxvFMU1KXR4DxETERIDOfi4gdIuLFtZC8jGpWoOMbWaTUSIampC43AWOAr0fEAQCZuaHrgZ/M/CGwHhjRuBKlxvLyrKTnX/VVmwHoMmA34AGqydlvAdYCZwLnArtn5pONqlVqJENT0iYiYgrw58BhVGMy24GRwP3Av2bmPzawPKmhDE1JRMRYYBxVOP4OeBj4I6pxmTsDzwE/y8xHG1ak1AS2b3QBkhorIt4GvJfq3ZlPUE1osJTqHufszFzbwPKkpuKZptTCImJXqpD8BvAPwMuAw4HXAW3AAuDczPxVw4qUmoihKbWwiDgHODkzX9ujfSTwFuBvqCZoPywzf9uAEqWm4pATqbW9mOrh2d2pvuwYEdtn5lOZeQ3wZ1RjMw9uZJFSszA0pdb2TaoHgE4DyMz1mflMRGxfW/4JsAroaFyJUvMwNKXW9kvgC8DHImJpRJwXEeNqwTkuIo4G9gX+o7FlSs3Be5qSiIg9gY8CbwZeQjXkZC0wAbghMz/UwPKkpmFoSi0sInYAXpaZD9aWJwHTgP2oxmneAPzId2dKFUNTakERsS/wYeC1wG+AZ4DbgW9k5uJG1iY1M0NTakER8SDwE+AuqklOXkoVoKOB/wH+NjNXNK5CqTk5I5DUYiLi7VQPAZ7cNfYyInYGXgG8AXg3MDIizsrMDY2rVGo+hqbUeiYDP6WatACA2ltL7gXujYhFwOXAPwH3NKRCqUk55ERqPbcCRwAfrZ1h9vQd4GfAUUNZlLQtMDSlFpOZPwA+Q/V+zFkR8bqI2DkiXlzrMplqbOatDSpRalo+CCS1kIjYLjOfi4gXAadTvVR6MtULp+8Adgf2Ah7KzD9tXKVSczI0pRYTETtm5vpuy4cCJwLTqe513gN8KzMfa1CJUtMyNKUWERETgD8H9qeaS/Ye4LrMvLNbn00CVdKmDE2pRUTEfwN7Uo3PXAEcBOwD/Bz4O+Bfa3PObpeZzzWuUql5OeREagERcQTV5AVTM/ORiNiR6rVgrwJOBS4AdgYuMTClvhmaUms4FFiUmY9A9QowYD1wR21c5tnApyPi1sxc0MA6pabmkBOpNcwB9o2IN/ZcUZsV6G+BO4HDhrowaVtiaEqt4T7gRuBLEXFBROwfEX/Ubf1OwCuBZQ2pTtpG+CCQ1CIiYneqe5dHAWuonp59HHgWOADYOzP3blyFUvMzNKUWExGvBk4GDqR6rmFXqredXJKZixpZm9TsDE1pGKtNjfdq4DiqCdp/BMzvmrggIvYGfgFsSP8xkAZkaErDWET8PVVgrgTGAi8HHgP+A5iVmd7DlOrgg0DSMBURr6Qag/ke4I2ZuQcwAfgicAzw04h4b0RE46qUti2eaUrDVER8jCosD60tb5+Zz3RbfxHVWegRmbmiQWVK2xTPNKXh6yfAxIjYE6A2Rd72tdmAAK4Afg/8n0YVKG1rDE1p+LodeAb4bkScEBEvzsxnuiZkz8yHgRFUMwNJKuDlWWkYi4g24FKql0o/AtwNzKt9fz/wduDlmbmuYUVK2xBDUxrmImIccCxwNNAO7A2MAW4DvpqZ1zawPGmbYmhKw1BE/DHVa8AA1gGLgaeoQnMnqnuZT2Tm6sZUKG2bDE1pmImIM6mGmXRShePPgV8CtwI3ZOYvG1edtG3zQSBpGKldir0I+E9gIvB64F+oHgg6HfjX2vhNHJ8p1c8zTWkYiYizgZMz83W9rDsY+BwwCXhtZj4x1PVJ2zrPNKXhZQOwc0S8Cqq5ZyNiB4DM/F/gHVRDTI5uXInStsvQlIaXG4DngA9GxM6Z+XRmboiI7QAyczmwFvjjRhYpbasMTWmYqN2jXA18HJgJrIiIf46IabX1kyPiZKoxm99sXKXStst7mtIwExG7ApOp3pf5VuCg2qrHqP6jfFVmfqox1UnbNkNTGgYiYjfgncCHgSeoxmSuBb5PNQvQi4A9gJuAB313prRlDE1pGIiIK4F9gP+iukQ7luoy7F7Ar4CPZ+bdDStQGiYMTWkbV7uX+SRwTGbe3q1tMtU4zb+gmgnohMxc0LBCpWHAB4Gkbd8rgYephpsAkJVlmXkd8GdUl2p9BZj0Ahma0rbv51SXYC+NiD/pGl7SJTOfBr4GvKkRxUnDiaEpbeMy8yng/wIjgauAUyJi94j4I4CIGAUcBjzQuCql4cF7mtIwUZsF6K+BN1O92eQu4NfAUcBK4LTMXNS4CqVtn6EpDTO14SfHAm+hmjLvAeD6zPxpQwuThgFDUxrGImK7zHyu0XVIw4WhKUlSIR8EkiSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBX6//TfwQxCXzKEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#get the Aer simulator backend and simulate the quantum circuit above. store the results in counts\n",
    "counts = execute(qc_output,Aer.get_backend('qasm_simulator')).result().get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wKisrMTAwEOuRKQraPFpkZGTA5XLB4/EgKSkpbKk6gNCNvGjRIgDAnj17YLVa8dhjj6G4uBherxdVVVVzMpviqsM/mzY3cqRL1R0OBywWi8HTUrS033zqdrvR09OD3t7e0FlZWRnS09Ph8Xhw/vx5lJSU4NKlS0hPTzduUPpF2jxa3I3f70dRUVHY2eHDh1FVVYXly5cjLS0NR48eZcT3Oa1v5PHxcSxduhQHDx7E7t27jR6H/gxah0xyaPNhj2RjyCQCQyYRGDKJwJBJBIZMIjBkEoEhkwgMmURgyCQCQyYRGDKJwJBJBIZMIjBkEoEhkwgMmURgyCQCQyYRGDKJwJBJBIZMIjBkEoEhkwja/y+z5ouFH31oyM/748a/NeTnjRZvZBKBIZMIDJlEYMgkAkMmERgyicCQSQSGTCJoF3IwGERLSwscDgdsNhvy8/Ph8/mQnZ2N2tpao8e7J9TEBG6VbUfwk0///+zmTdz+x9/h9r8cgAoGDZxubmgXck1NDfbv349du3bhww8/xDPPPIPy8nJ89dVXoV17850pPh5xW3+LqdY/QCkFNTWFqX9tAiwWLHjheZji5P2ya/VH1O+88w6OHTsGr9cbWqy+YcMGXLhwASdPnkRhYSEGBweRm5sb+hqlFG7cuAG/3z+vQo/b8vcItp+E+vR/EDznh/r2W5hbmmFaKHOHoFYhNzU1oaSkJBTxHZmZmbBYLMjLy4PVasX4+HjovY6ODuzevXveLVY3xdsQV/ZbTP3bvwPLl8F88FWYEhYZPdackfd7zF0EAgH09fWhrKxs2nuDg4NwOp2wWq3T3mttbUVFRUXUS77vG5OTWLDtGZiWLzd6kjmlVcgAkJqaGnY+MTEBn88342PD2NgY3nvvPezYsWNOZzOZTL/6ilbwv88g+J//BdPf/DWmTr07633Xkcw2V69oaBOy3W4HAPT394edNzc3Y2hoaMZHh5MnT8LhcGDdunUxmfFeCZ7rxtTv/wMLXtqLBfX/AHz/PdTHnxg91pzS5hk5IyMDLpcLHo8HSUlJSEtLQ3t7Ozo7OwFgxhu5tbV1zm9jABHdlpH++8jBzy9jyvMyFvzT7xDnygOAn56V3/4DTI/9VdTfsZgv+0S1uZHj4uLQ1tYGp9OJuro6VFdXw263o6GhAWazGS6XK+zHX79+HV6vF+Xl5QZNHD31vwOY2vfPWLDrWcT95V+EzuO2/B3wxz+KvpW1X+HrdrvR09OD3t7esPODBw/i9OnT8Hq9xgz2M/wvRH6ZNjfy3dzt+8Oxeqyge0ObZ+SZjI+Po7+/H/X19dPe6+7uNmAimi2tQ168eDGmpqaMHoPuAe0fLUgGhkwiMGQSgSGTCAyZRGDIJAJDJhG0/yNqkoE3MonAkEkEhkwiMGQSgSGTCAyZRGDIJAJDJhEYMonAkEkEhkwiMGQSgSGTCAyZRGDIJAJDJhEYMonAkEkEhkwi/B9t2+3vuoAd/QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 216.72x505.68 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_encode = QuantumCircuit(n) #create a quantum circuit with 8 qbits\n",
    "qc_encode.x(7) #on the 7th qbit (starting at 0) add a not gate\n",
    "\n",
    "qc_encode.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mdOzdu1ebN2/WoEGDytyWk5OjqKgo+fr6qm7dunryyScVEhIiT09PjRs3Tps2bdLJkydNSA1cupSUFLVp00ZZWVkaOHCgCgsLq7TduedwLF68WJL05ptvql69ejUZF4AFWKp0SFLTpk1LjRcWFio9PV3x8fHlbpeRkaFWrVrJz8+vxrLZbDaW35Zz94m77J/akPl8ISEhSkpKUlFRkYYNG1bl0nxu4bjvvvt09913KzMzUy1atNCoUaP42WVhYSl3qSrLlI7g4GBJUnZ2dqnxqVOnKjc3V3FxcWW2OXz4sMaOHatnn33WkIxAdRk1apS8vLy0ZMkSbdy4sUrbnF845s+fr+LiYj3zzDOSpKSkpIt6cgGA81nm1SutW7eW3W7X5MmTFRQUpJCQEC1evFjLly+XpDIzHYWFhRowYIAGDx6sIUOG1Gg2p9NZo/fvTp6YMlvS2X1y7se1WW3IfH4Z6N+/vyRpzpw5Vdq+vMJR4uOPP1Zubq5CQ0MVERFR6mWztf17A6B2scxMh4eHhxYtWqSoqCglJSVp+PDhCg4O1tixY+Xl5SW73e5at6ioSHfddZfCwsKY5YDb8fHxUUxMjBwOh7766qtK16+ocEhnr23z9ddfSypbzgHgYlhmpkOSwsPDtXLlylJjQ4cOVWRkpPz9/V1jI0eOlMPh0OzZs42OCPxuzZo1k4+Pj3bv3q2CgoIK162scJTYunWrbr/9drVp06YmIgOwCEuVjvJkZmaqa9eurs//+9//KjU1VX5+fmrQoIFrfOvWrWrRooUZEYGLsm/fPnXv3l0Oh6PC9QIDA/XAAw9U6Tocc+fO1RdffFHqpbQAcLEsXToKCgqUnZ2tMWPGuMZatmzJcWq4tZMnT2rNmjWVrpefn6+ePXuqU6dOWrJkSYXr/vTTTxQOAL+bpUtHQECAiouLzY4BmCYnJ0c5OTlmxwBgEZY5kRQAAJiL0gEAAAxB6QAAAIagdAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMISlLw4GXC4u5Sq6Je+I+9zjo0t9DAA1hZkOAABgCEoHAAAwBKUDAAAYgtIBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AAMAQlA4AAGAISgcAADAEpQMAABiC0gEAAAxB6QAAAIagdAAAAENQOgAAgCG8zA4AwLpsNpvhj+l0Og1/TABnMdMBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AAMAQlA4AAGAIXjILwC20b99enTt3lt1uV0BAgE6fPq3s7GxlZmZq7dq1OnPmTJltZs6cqfz8fD355JMmJAZwPkoHgFrL09NTDzzwgP74xz8qJibmgusdOHBAb775pqZPn67Dhw9LOls4xo0bp1OnTuntt99Wdna2UbEBXIDlSofD4dALL7ygWbNmac+ePYqIiNDMmTM1evRo9ejRQ7NnzzY7IgBJbdu21bx589SlSxdJZ4vF559/rg0bNujXX3+Vv7+/YmJi1L17d0VFRSk5OVkjRozQgw8+qN69e7sKx2233UbhAGoJy5WOESNGaNmyZZo4caLi4+OVkZGhxMRE5eXlafz48WbHAyDp2muv1ccff6zAwEDt2bNHjz/+uBYvXlzuIRRJuuaaa5SSkqLrrrtOaWlpkuQqHJ9++qmR0QFUwFInki5YsECpqalKS0vThAkT1KtXLyUnJyshIUFFRUWKj4+XJN1zzz1q0qSJ6tevr86dO+urr74yOTlgHdHR0Vq+fLkCAwP1/vvvKzo6WgsXLrxg4ZCktWvXqkePHlq7dq1r7NVXX6VwALWMpUpHSkqK+vbtqx49epQaDw0Nlbe3t+uYcXJysvbs2aOjR4/qqaee0h133GFGXMByvLy8lJqaqnr16undd99VYmKi8vPzq7TtjBkzdM0117jKyahRo9SqVasaTAvgYlmmdOzdu1ebN2/WoEGDytyWk5OjqKgo+fr6SpLatWsnHx8fOZ1OeXt7a//+/Tp58mSNZbPZbCy/LefuE3fZP+6YubbkPt/YsWMVFxenXbt2aeTIkXI4HFX6HTr3pNEBAwbo3XffVUBAgGbOnMnvGwuLAUtVWap0SFLTpk1LjRcWFio9Pd11aKXEPffcI39/f910000aM2aM/Pz8DMsKWJHNZtO4ceMkSX/+8591/PjxKm13buEoOYfj4Ycf1smTJ9WvXz+1bt26JmMDuAiWKR3BwcGSVOYs9qlTpyo3N1dxcXGlxufPn69jx47pgw8+UNeuXWs0m9PpZPltOXefuMv+ccfMtSX3ua699lq1adNGu3fv1ocfflil353yCock5eXl6d1335WHh4fuu+8+ft9YWGp4qSrLvHqldevWstvtmjx5soKCghQSEqLFixdr+fLlklRmpkOSvL29deuttyo2NladO3dWeHi40bEByygp9x999FGVDqtcqHCUSEtL07Bhw1wvuQVgPsvMdHh4eGjRokWKiopSUlKShg8fruDgYI0dO1ZeXl6y2+0X3Pb06dPavXu3cWEBC4qNjZUkrV+/vtJ1Kysc595P+/btqzcogEtmmZkOSQoPD9fKlStLjQ0dOlSRkZHy9/eXJB06dEj/+c9/1K9fP3l5eemNN97Qvn37yhx+AVC9tm7dquXLl2vbtm0Vrjdx4sRKC4ck7d+/X59++qmOHj1aE3EBXAJLlY7yZGZmljln46WXXtLIkSPl4eGh6Ohoffzxx65zQgDUjMmTJ1dpvdTUVCUmJmr8+PEVXofj1KlTuvnmm6srHoBqYOnSUVBQoOzsbI0ZM8Y11qhRI61evdrEVAAqkpOTo5iYGBUXF5sdBcBFsnTpCAgI4IkLcEP83gLuyTInkgIAAHNROgAAgCEoHQAAwBCUDgAAYAhKBwAAMASlAwAAGILSAQAADGHp63QAMNfFvDulJD0xZbYk6bnHR5f6GIB7YKYDAAAYgtIBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AAMAQlA4AAGAISgcAADAEpQMAABiC0gEAAAxB6QAAAIagdAAAAENQOgAAgCEoHQAAwBCUDgAAYAgvswMAgDux2WymPK7T6TTlcYHqxEwHAAAwBKUDAAAYgtIBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AUMPq16+vdu3aKSoqSo0bN65wXU9PTw0ePNigZICxKB0AUANiY2P1+uuva+fOnTpy5Ii2bNmizZs36+DBg9q7d68WLFignj17ltrG09NTCxYs0Lvvvqsnn3zSnOBADbJc6XA4HJo2bZrCwsLk5+en2NhYpaenKyIiQqNHjzY7HgA3FxISog8//FBZWVl68MEH1aZNGxUWFmrbtm3asmWL8vPzFRISosTERK1cuVKZmZmy2+2uwnHXXXfp6NGj+r//+z+zvxSg2lnuiqQjRozQsmXLNHHiRMXHxysjI0OJiYnKy8vT+PHjzY4HwI394Q9/0Pz589WgQQPl5+frrbfe0ttvv63vv/9eRUVFks5e0TQ8PFx33323HnzwQcXHx2vdunXavHmz4uLidPToUfXp00fffvutyV8NUP0sNdOxYMECpaamKi0tTRMmTFCvXr2UnJyshIQEFRUVKT4+vtT67733nmw2mxYvXmxSYgDuol+/fvrggw/UoEEDpaWlKSIiQo888ojWr1/vKhzS2cuZb9++XU8//bTCwsL06quvysfHR3FxcSosLKRw4LJmqdKRkpKivn37qkePHqXGQ0ND5e3trZiYGNfYiRMn9OyzzyoqKsromADcTMuWLbVw4UJ5e3tr2rRpuvXWW7V///5Ktzt58qSCg4Ndn/v7+8vX17cmowKmskzp2Lt3rzZv3qxBgwaVuS0nJ0dRUVGlftlTUlI0bNiwUk8IAFCeN998U/Xq1dPixYv12GOPVWmb88/hmDNnjiTprbfekr+/f03GBUxjqdIhSU2bNi01XlhYqPT09FKHVnbv3q20tDSNGzfOkGw2m43lt+XcfeIu+8cdM7tr7tqQ+XzdunXTjTfeqEOHDmnMmDFV+p0/v3D06dNHSUlJ2rRpk9q0aaMhQ4bwPMHiVktVWaZ0lMxYZGdnlxqfOnWqcnNzFRcX5xobP368Jk2aJG9vb0MzAnA/JUVj1qxZysvLq3T98grHt99+qzNnzmjKlCml7hO43FimdLRu3Vp2u12TJ0/W22+/rRUrVigpKUlz586VJNdMx3/+8x/l5+drwIABhmVzOp0svy3n7hN32T/umNldc9eGzOe76aabJJ09LFKZCxWOEosXL1ZBQYHi4uLKHNo1e9+zsFS0VJVlSoeHh4cWLVqkqKgoJSUlafjw4QoODtbYsWPl5eUlu90uSVq9erW+/vprBQcHKzg4WGvXrtWIESOUkpJi8lcAoLZp0aKFgoOD9csvv2jnzp0VrltZ4ZCkU6dOacOGDZJU5tV0wOXAUtfpCA8P18qVK0uNDR06VJGRka4Tt8aPH6+RI0e6bh80aJCGDx+uu+++29CsAGq/Fi1aSJK2b99e4XpVKRwltm/fruuuu04tW7as9ryA2SxVOsqTmZmprl27uj4PDAxUYGCg63NfX18FBQWVGgMA6ezzR3h4eKnrcJSncePG6tSpU5Uu/PX3v/9d06ZNU25ubnXHBUxn6dJRUFCg7OzsCk/aWrVqlXGBALiVkydPaseOHZWut3//fvXs2VNXXHGFMjMzK1z3559/rq54QK1j6dIREBCg4uJis2MAsICcnBzl5OSYHQMwlWVOJAUAAOaidAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMASlAwAAGMLS1+kAgIt1MW9uVeKJKbMlSc89PrrUx4DVMNMBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AAMAQlA4AAGAISgcAADAEpQMAABiC0gEAAAxB6QAAAIagdAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMISX2QEAADXPZrMZ/phOp9Pwx0TtxkwHAAAwBKUDAAAYgtIBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AgN/N29vb7AhwA1ynAwDg4ufnp5tuukmdOnVSVFSU6tSpo5MnT2rr1q3KzMzUp59+quPHj5faxt/fX2lpafrmm2/05JNPmpQc7oDSAQBQgwYN9Ne//lUPPPCAgoKCytw+YMAASVJ+fr5SU1M1adIk5eXluQrHjTfeqOjoaM2YMUN5eXlGx4ebsNzhFYfDoWnTpiksLEx+fn6KjY1Venq6IiIiNHr0aLPjAYDhbr75Zm3ZskWPPfaYgoKCtG7dOk2ePFl33XWXbrrpJt1xxx165plntHbtWgUGBmrcuHHaunWrhgwZ4ioc+/fvV8+ePSkcqJDlZjpGjBihZcuWaeLEiYqPj1dGRoYSExOVl5en8ePHmx0PAAz1wAMPaPbs2fLw8NDatWv1yCOPKDMzs8x6S5cu1VNPPaWYmBhNnz5dvXv31vz58yXJVTi2b99udHy4GUvNdCxYsECpqalKS0vThAkT1KtXLyUnJyshIUFFRUWKj4+XJPXs2VP+/v4KCAhQQECAhg0bZm5wAKgBt9xyi6tw/O1vf1P37t3LLRzn2rRpk2699VZlZ2e7xl544QUKB6rEUqUjJSVFffv2VY8ePUqNh4aGytvbWzExMa6xf/3rXyooKFBBQYHmzZtncFIAqFmNGjXSG2+8IQ8PDyUnJ2vSpElyOByVbldyDkd4eLjy8/MlScnJyWrWrFlNR8ZlwDKlY+/evdq8ebMGDRpU5racnBxFRUXJ19fXhGRn3/2RxVbqXTDP/7g2L+6Y2V1zu2Pm2pL7fE8//bSaNGmilStXKiUlpUrPVeeeNLp//3517txZH3zwgerXr68pU6aUWd/s/c5i3s/XhViqdEhS06ZNS40XFhYqPT3ddWilRFJSkq644gr169dPO3bsMCwnANS0evXq6f7775ckjRs3rkpvQX9+4Sg5h+Phhx9WUVGR7rzzTjVp0qSmo8PNWaZ0BAcHS1Kp45CSNHXqVOXm5iouLq7U2O7du7V7927FxcVpwIABKioqqrFsTqeT5bfl3H3iLvvHHTO7a253zFxbcp/rtttuU0BAgFatWqUtW7ZU+hx1ocIhSXv27NGHH34oHx8fDR48mOc2iy5VZZoyTG4AABs7SURBVJnS0bp1a9ntdk2ePFlvv/22VqxYoaSkJM2dO1eSSs10dO7cWXXr1lWdOnX0zDPP6NChQ2XKCgC4q86dO0uSli9fXum6FRWOEp988okkqVOnTtUfFpcVy5QODw8PLVq0SFFRUUpKStLw4cMVHByssWPHysvLS3a7vdztLvZ4FQDUdiUnzW/YsKHC9apSOM69nws9jwIlLHWdjvDwcK1cubLU2NChQxUZGSl/f39J0pEjR7Ru3Tp1795dTqdTkydPVoMGDRQeHm5GZACodp988ol+/PFH7dy5s8L1Xn755UoLh3T2ZPy5c+e6zp0DLsRSpaM8mZmZ6tq1q+vzM2fO6IknnlB2drZ8fHzUpUsXpaWlycvL8rsKwGWivFealOfpp59W27ZtNWLEiAqvw3Hw4EE98MAD1RUPlzFL/yUtKChQdna2xowZ4xpr3LixvvvuOxNTAUDtkJOTo2uuucbsGLiMWLp0BAQEqLi42OwYAABYgmVOJAUAAOaidAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMASlAwAAGMLS1+kAAKu4mHcClaQnpsyWJD33+OhSHwO/BzMdAADAEJQOAABgCEoHAAAwBKUDAAAYgtIBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AAMAQlA4AAGAISgcAADAEpQMAABiC0gEAAAxB6QAAAIagdAAAAEN4mR0AAIDy2Gw2Ux7X6XSa8rhWwEwHAAAwBKUDAAAYgtIBAAAMQekAAACGoHQAAABDUDoAAIAheMksAOCy4OnpqcjISDVt2lROp1O5ubnavn27iouLy12/YcOGSkxM1KuvvmpwUuuidAAA3JaXl5cGDBighx56SNdee638/f1L3X7ixAmtXr1ar7/+uj766CNXAWnYsKG++OILxcXFycfHRy+++KIZ8S3HcodXHA6Hpk2bprCwMPn5+Sk2Nlbp6emKiIjQ6NGjzY4HAKiirl27atOmTVqyZIl69+4tf39//fjjj1qxYoVWrFihXbt2qU6dOurbt68++OADbdy4UR07dixVOHbs2KH333/f7C/FMiw30zFixAgtW7ZMEydOVHx8vDIyMpSYmKi8vDyNHz/e7HgAgCqYMGGCnnvuOXl6emrnzp2aOXOmFixYoEOHDpVar3Hjxrrnnnv08MMPKyoqSl999ZVyc3PVvHlz7dixQz179tS+fftM+iqsx1IzHQsWLFBqaqrS0tI0YcIE9erVS8nJyUpISFBRUZHi4+Mlnb0E7lNPPaUrr7xSgYGBuvHGG01ODgAo8Ze//EXPP/+8bDabUlJSFB0drZdeeqlM4ZCkvLw8vfjii4qKitIrr7wiLy8vNW/eXHl5eRQOE1hqpiMlJUV9+/ZVjx49So2HhobK29tbMTExkqTp06drw4YNysrKUnBwsDZu3GhGXADAea677jpNmTJFDodD9913n+bPn1+l7fz8/JSQkOD6PCgoSM2aNaN0GMwyMx179+7V5s2bNWjQoDK35eTkKCoqSr6+viouLtY///lPzZ49W02aNJGnp6fi4uJMSAwAOJevr6/eeustSdKkSZOqXDjOP4fj1Vdflaenp+bNmycvL0v97206S5UOSWratGmp8cLCQqWnp7sOreTk5Mhms+mll15S48aNFR0drQ8++KBGs9lsNpbflnP3ibvsH3fM7K653TGzu+auDZnPd9ddd6lNmzbasmWLnn322UqeWc86v3D07NlT48eP144dOxQZGanbbrutzDZm73t3XKrKMqUjODhYkpSdnV1qfOrUqcrNzXXNZuzbt08///yzCgsLtXfvXr322mu6//77tXv3bqMjAwDOkZSUJOnsIfAzZ85Uun55hWPfvn06deqU6yWyJfcJY1imdLRu3Vp2u12TJ0/W22+/rRUrVigpKUlz586VJNdMR506dSRJTz75pHx9fXXdddepR48eWrVqVY1lczqdLL8t5+4Td9k/7pjZXXO7Y2Z3zV0bMp8rICBAXbp00ZkzZ/Tee+9V+rx6ocJR4p133pHD4dC1114rHx+fUtuave/dcakqy5QODw8PLVq0SFFRUUpKStLw4cMVHByssWPHysvLS3a7XZIUFhYmb29vk9MCAM4VGxsrDw8Pbdq0SSdOnKhw3coKhyTl5+dr+/bt8vHxcb2IADXPMqVDksLDw7Vy5UodP35cOTk5mjRpkjZt2qTIyEjXVewCAgJ06623KiUlRWfOnNHXX3+t1atXq2fPnuaGBwALCwkJkST9+OOPFa5XlcJRYufOnZKkq666qnrD4oIsf9puZmamunbtWmrstdde07Bhw9SwYUOFhIRo3rx5atWqlTkBAQBasmSJAgMDK10vICBADRs2rNKFv+699145nU4dP368OqOiApYuHQUFBcrOztaYMWNKjQcHB+ujjz4yKRUA4HzFxcU6duxYpevt2bNHPXv2VFFRUaXX4MjPz6+ueKgiS5eOgICAC777IADAPeXk5JgdARdgqXM6AACAeSgdAADAEJQOAABgCEoHAAAwBKUDAAAYgtIBAAAMQekAAACGsPR1OgAAtdfFvJFYiSemzC71+XOPj66uOKgGzHQAAABDUDoAAIAhKB0AAMAQlA4AAGAISgcAADAEpQMAABiC0gEAAAxB6QAAAIagdAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMASlAwAAGILSAQAADOFldgBUjc/nn5jyuKd732zK4wKAu7LZbIY/ptPpNPwxLwUzHQAAwBCUDgAAYAhKBwAAMASlAwAAGILSAQAADEHpAAAAhqB0AADgRurXr292hEvGdToAADBBs2bNNHDgQHXs2FGRkZHy8/PT8ePHtWnTJq1bt05LlizRoUOHymyzcuVKvf/++0pOTjYp+aVjpgMAAANFRERo2bJl2r17t2bMmKGhQ4eqY8eOio6OVpcuXTRy5EjNmjVLe/fu1bx583TVVVdJ+l/hCA0NVZ8+feTv72/yV3LxLFc6HA6Hpk2bprCwMPn5+Sk2Nlbp6emKiIjQ6NGjzY5XLZyFhToz6G451nz5v7FTp1T0yKMqeuZZOR0OE9MBgHWNHz9eWVlZuu2221RcXKz33ntPDz30kLp16ya73a7u3bvr4Ycf1scffywfHx/df//92rx5s/74xz+6CkdmZqZ69+6twsJCs7+ci2a5wysjRozQsmXLNHHiRMXHxysjI0OJiYnKy8vT+PHjzY5XLWz+/vK48w4Vz18o27XXSA6Hiv+RInl7y/OJv8jmYbmuCQCmmzlzpsaNGydJmjNnjpKTk3XgwIEy661Zs0YvvfSSWrdurRkzZqh///566aWXJMlVOI4cOWJo9upiqdKxYMECpaamatWqVerRo4ckqVevXlq/fr2WLl2q+Ph45eTkqF27dq5tnE6nTpw4oczMTMXHx5sV/aJ5DLhFjsVL5fxyrRzfZsr5yy/ymjZVNh9vs6MBgOU8/vjjGjdunE6ePKkhQ4Zo2bJllW7z008/KSkpSV26dFHjxo0lSa+++qrbFg7JYodXUlJS1LdvX1fhKBEaGipvb2/FxMSoRYsWKigocC0LFy5UixYtFBcXZ1LqS2Pz95PHoDtU/PwLcn7/vbwmT5Ktbh2zYwGA5URHR+uZZ56RJA0ePLhKhUP63zkcjRs3Vk5OjiTp+eefV5MmTWosa02zTOnYu3evNm/erEGDBpW5LScnR1FRUfL19S1z2/z58zVkyJAafddAm81W6XLJTp6U5+C7ZGvYsMayVedy7uOalcEKmd01tztmdtfc7pj53KxmZj7f9OnT5ePjo9dee01paWllbi/PuSeNZmZmKjY2Vp9++qkaNWqkp59+ulZ8nRV9zRdiqdIhSU2bNi01XlhYqPT09HIPnRw7dkwffvih7rnnHkMyVifHF/+R4733Zbupj4qX/dtt3vYYAC4n4eHh6tOnj06cOKG//vWvVdrm/MJRcg7Hn//8Z0nSvffeq8DAwJqMXWMsUzqCg4MlSdnZ2aXGp06dqtzc3HIPnyxdulRhYWGKjo6u0WxOp7PS5WI4vl2n4pdfkedTE+U55iHpyBE5V6+psWzVuZz7uGZlsEJmd83tjpndNbc7Zj43q5mZzzV48GBJ0sKFC6t0LsaFCock/fDDD1q5cqXq1q2rW265xfSvs6L9fiGWKR2tW7eW3W7X5MmT9fbbb2vFihVKSkrS3LlzJancmY758+e73SyHY8tWFU9+Tp6PPSoPe8z/zu14ZyEvlQUAg3Xs2FGS9Pnnn1e6bkWFo0TJ/ZTcr7uxTOnw8PDQokWLFBUVpaSkJA0fPlzBwcEaO3asvLy8ZLfbS62/f/9+rVq1SomJiSYlvnjOXbtV/Le/y/PBUfK4pptr3GNAf+no0Uue7QAAXJqoqChJ0saNGytcryqFQ5KysrJK3a+7sdRLZsPDw7Vy5cpSY0OHDlVkZGSZK7u9++676tatm5o3b25kxN/FdnUreS95v+y4n5+8319geB4AsLqXX35ZjRs31r59+ypcb+7cuZUWDknatm2bnn32We3YsaMm4tY4S5WO8mRmZqpr165lxufPn3/ZXKEUAGCOF198sUrrjRo1StOmTdOoUaMqPPdj9+7devLJJ6srnuEsXToKCgqUnZ2tMWPGlLlt3bp1JiQCAFjRf//733Iv6XC5sXTpCAgIUHFxsdkxAACwBMucSAoAAMxF6QAAAIagdAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMISlr9PhTk73vtnsCACAKriYd12VpCemzJYkPff46FIfX46Y6QAAAIagdAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMASlAwAAGILSAQAADEHpAAAAhqB0AAAAQ1A6AACAISgdAADAEJQOAABgCEoHAAAwBKUDAAAYgtIBAAAMQemwkE8//VQdOnRQ+/bt1a1bN23bts3sSNVq1apVioqKUmhoqEaOHKni4mKzI1Vq3Lhxatasmby8vMyOUmV79uzRDTfcoMjISEVHR+v//b//Z3akKuvdu7diY2Nlt9t15513Kj8/3+xIVTZmzBi3+jlp1aqVoqKi1L59e7Vv316bNm0yO1Kljh8/rvvvv18RERFq27atZs2aZXakSu3bt8+1j9u3b6+mTZvq9ttvNzvWBVE6LGT06NFasGCBsrKyNGzYMP3tb38zO1K1cTgcGjlypBYtWqSdO3cqPz9f77zzjtmxKjV48GB99913Zse4KF5eXpoyZYq2bdum9evXKyMjQ//+97/NjlUlixcv1saNG/X999+rRYsWeuGFF8yOVCVr1qzR8ePHzY5x0T777DNlZWUpKytLMTExZsep1KOPPqqoqCht375d27Ztq9V/vEtcddVVrn2clZWl6OhoDRo0yOxYF0TpsBCbzeb6z+7o0aO68sorTU5UfdatW6errrpK7dq1kyQ98MADWrJkicmpKnfttdeqSZMmZse4KFdeeaU6duwoSfLx8ZHdbldOTo7Jqaqmfv36ks6W1OPHj8tms5mcqHKnTp3SE088oWnTppkd5bJ27Ngxffjhhxo/fryks8+XV1xxhcmpLk5ubq4yMzN12223mR3lgmxOp9NpdggYY+XKlbrrrrvk6+urgIAAffPNN64nYbNs2v6T/pOxwfV57sFDkqQrr2hU6mNJ8vfz0fBBN8u7nCnmJUuWaOnSpZo/f74kadu2bRoyZIg2bNhQZt3f60xRkd5a9IkKT56uNLMk9UroIHvb1hXep5eXl4qKiqo967m+3rBV32T975BaRbkbBAZo6MA+8qjkj/KhQ4fUvn17ff7552rbtm21Zz5ReFJvLfpERcWOSjNLUv8bEtSmxVUV3ueAAQP09ddfq127dvroo48UEBBQ7blXZKzX5u27XJ9XlPuqKxppUL+eF7yv5ORktWnTRiNGjKjRn5Nfjx7Tv5b+X5UyS9Lg/r3UtHHQBe+vVatWatiwoZxOp/r376+nnnpK3t7e1Z477YsM7dqTWyZ3iXMzh7UK0R96dS33fjZu3Khhw4apS5cu+vbbb9WiRQvNmDFDLVu2rPbMe/fnacknq8tkLm9fe9hsuu+Om1S/Xt1K73f69OnatGmT5s2bV+2ZqwszHRZRVFSk559/XqtXr9bevXs1ePBgPf7442bHUmSbljp9+oxyDx4q9WRx/se5Bw+pXWircguHJDmdzlL/tdZkl/b28lK7sFZVynzq9Gm1C63+J61LERvZRkePFVQpd/t2oZUWjlOnTunOO+/UI488UiOFQ5Lq+PupdYurqpTZy9NDVzevfPYuLS1N+/fvV0JCQo0ds4+PDlfer0eqlDveHnHB+/n+++/1zTffaPjw4TWS81xB9evpyiuCqpS5QWBAhYVDOntIaMOGDVq7dq1++OGHGpupiY8J1/7fcp1fOM7NfCDvV8XHXHhfnzlzRllZWRo4cKDWr1+vAQMGaMSIETWSOaRJsALq+FVpXze7snGVCockvfPOO7r33nurPW91onRYRFZWlo4eParIyEhJZ88lyMjIMDmV5OXlecH/PM7VOKi+EuKiLnh78+bNS03x79mzR82aNauWjOVJ6BClxkGVzxL9oVdXeXl51liOi+Hv56s+13WqdL2WIU0qnZkpLi7WPffcow4dOujRRx+trojl6pXQQQF1/Stdr/8N3SotSiU8PDw0bNiwGvuPsEFggLp3jq10vZiIq9W6gqK0du1abd26VVdffbVatWql4uJitWrVqsZOgO3bvbO8vSs+WdXTw0P9qvA727x5c0lS3bp1NXLkyBp7vglpEqyO9spLb9e4dmoS3PCCtzdv3lxBQUHq06ePJOnuu++usfOtbDab+l2fUOnhPV8fb/W+rmOV7nPr1q06ePCgrr/++uqIWGMoHRYREhKi7du36+eff5Ykff75567zH8zWLqyl2rSseEq83/UJ8vS88I9rx44d9fPPP2vr1q2SpDlz5mjgwIHVmvNcnp4e6nd9QoXrtG5xlaLCWtVYhkvRKbZthU+8knTLDd0qfTIcPXq06tWrp+nTp1dnvHL5+fropkrKUvt2oWoZUvG5Mfn5+crN/d80/JIlSxQVdeEi+3v17BKrwIA6F7zd09NDN/fsUuF9JCUlad++fdq9e7d2794tT09P7d69W4GBgdUdV5IUWK+uenZtX+E63eKjFVxJ4T5+/LirGBUXF2vJkiWy2+3VlvN8fbp3lK/PhQ/d+Pv56oZr4iu8jyZNmig6OlqZmZmSzj5H1uTPR9PGQerSPrLCdW64Jl4BdSov3JL0r3/9S/fcc488PGr3n/XanQ7V5sorr9Rzzz3nesnghx9+qKlTp0qq2UMRVWGz2dS/gtYf1qqZIlo3r/A+PD099cYbb+jOO+9UmzZtFBAQoKFDh9ZEXJeI1s0VfnX5syk2nT2/oLI/3g8++KCaNWum4uJiNWvWTGPHjq2BpP/j6eGh/hWUpbjocDW7snGF97F27VrNnTtXmZmZrpdgz5w5s7qjlhIfE17q2Py5vL081bdH50rv4+jRoxowYIBiYmJkt9uVlZWlGTNmVHdUFx8f7wpzXdfJrqAGNVMefo/unewXnM6v6++n67t1qPQ+Dhw4oO7du8tut8tut8vpdCo5Obm6o7rUq1tHvRIunOvGa+JV19+v0vt57bXXNG7cONntdk2fPl1vvvlmdcYso/e1HeXn61PubY0aBqpbfNVKj9Pp1MKFC2v9oRWJE0khaWHaCjVqEKg+3Sufeq9JSz9drW83/lBqzMNm05+G36EmlRw/NsuBXw5rxtzFcpz3a9Q5tq0G9u1uUqrKpS75VNt2ln7FiY+3lyaMGqzAKh4/NtpPOfs0e+FHZcZv6BZX5SloozmcTr36rw+0Nzev1HhAXX89NmqwfC/wB8dsG7fu1MIP/1Nm/LY+16prh9oxQ3q+M0VF+uebi/Tr0WOlxhsHNdAjI+6scKbUTGvWfa+P//N1mfGhA/vUupnS6lA7vwsm+ve//63+/fvriiuukK+vr1q2bKkhQ4a4xYVtLsW+A79o47Yfa8WUXJ/rOpWZIu3SIbLWFg5JahLcUF3OexK+mOOwZvlDr67y8Cg9C9Oza/taWziks4erosOvLjUWGFBHPbpUfu6EWTxsNt1SzszSTd071drCIUn2yDZlDlc1CW6oTrE1c8JwdfD28ir3/LD+13ettYVDkhLiohTcsPThqtCWIbXmBPTqVnu/EwYrKirS3Xffrdtuu00bN27UwIED9ac//UkdOnTQkiVLXOdCXG5WZKyXn6+PrukYbXYUBdT11/Xd4lyf+/n66MZravcfb0m68dr4UlOk13froHp1L3wsvzZoHNRA3eL+9z1vEBig6zrV3DH36nJzry6l/oD07dFZPhUcy68NWjZrqtjINq7Pr2rSSPHR4SYmqpzNZlP/G0qXpf7XJ8izFvxzUpGo8FalXsEUfnVzRbRpYWKiynl5euoP1/+vLJ09ybSrW1xD5lJweOU3Dz30kGbNmqVRo0bpn//8p+rW/d9/fHv27FGDBg1Ur169GnnsJ6bMrpH7BQDACM89PrpK67nPhfxr0Jo1azRr1iz17dtXs2bNKtMwS176BQAALh0zHZLuuOMOLV26VFlZWYqNrb3Hh6vTvgO/aOa8pbrxmnjdeG3FLyUzmtPpVN6hI7qikpd21jYHfzmsxo0auNW0aLHDoV+P5KtxUAOzo1yUA78crvSlv7XNqdNndKLwpBrWr5kZ05rijvv62PET8vDwqNIrVmoTd9zXF4vSISkwMFCNGjXSrl27Kl+5BnB4BQDgzqp6eKV2nxVkgCNHjujYsWNq1aqV2VEAALisWX6m4/DhwwoKClK7du20ZcsWs+MY4l/L/k8//nefHn8oUf5+vmbHAQBYhOVnOho2bKg2bdpo27Zt+uKLL8rcvn37dhNS1Zx9B37RluzdurZjDIUDAGAoXr0iafLkyRo8eLD69u2rW2+9VaGhoTp48KAyMjLUrl07LVu2zOyI1ebXI8cU1KBerbguBwDAWix/eKXEZ599pueff17r1q3TyZMndcUVV6hz58565JFHdN1115kdr1o5HI5acQVSAIC1UDoAAIAh+HcXAAAYgtIBAAAMQekAAACGoHQAAABDUDoAAIAhKB0AAMAQlA4AAGAISgcAADAEpQMAABiC0gEAAAxB6QAAAIagdAAAAENQOgAAgCEoHQAAwBCUDgAAYAhKBwAAMASlAwAAGILSAQAADEHpAAAAhqB0AAAAQ1A6AACAISgdAADAEJQOAABgCEoHAAAwBKUDAAAYgtIBAAAMQekAAACG+P+P+SDL6iy6ygAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 698.32x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = qc_encode + qc_output #add the qc output circuit to the one above, this way its mapped to the classical bits\n",
    "qc.draw(output='mpl',justify='none')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts = execute(qc,Aer.get_backend('qasm_simulator')).result().get_counts() #run the simulation and store results in counts\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 698.32x385.28 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#my age = 27 = 1*(2^4) + 1*(2^3) + 0*(2^2) + 1*(2^1) + 1*(2^0)\n",
    "qc_encode = QuantumCircuit(5)\n",
    "qc_encode.x(0)\n",
    "qc_encode.x(1)\n",
    "qc_encode.x(3)\n",
    "qc_encode.x(4)\n",
    "\n",
    "\n",
    "qc_output = QuantumCircuit(5,5) #create a quantum circuit with 8 qbits and 8 classical bits to map qbits to\n",
    "for j in range(5):\n",
    "    qc_output.measure(j,j) #measure the jth qbit and map measurement to the jth classical bit\n",
    "\n",
    "qc_encode.draw(output='mpl')\n",
    "qc = qc_encode + qc_output #add the qc output circuit to the one above, this way its mapped to the classical bits\n",
    "qc.draw(output='mpl',justify='none')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#MAKE A HALF ADDER USING QISKIT\n",
    "# 0 + 0 -> 00\n",
    "# 0 + 1 -> 01\n",
    "# 1 + 0 -> 01\n",
    "# 1 + 1 -> 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 216.72x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_cnot = QuantumCircuit(2) #demonstrate the controlled not or cnot gate or cx gate this is an XOR\n",
    "qc_cnot.cx(0,1) #control qbit is 0th qbit and the target qbit is the 1st qbit\n",
    "qc_cnot.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 397.32x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(2,2) #QC with 2 qbits mapped to 2 classical bit\n",
    "qc.x(0) #add not gate to 0th qbit making the |0> bit a |1> bit\n",
    "qc.cx(0,1) #add CNOT gate with 0th qbit as the control and 1st qbit as the target\n",
    "qc.measure(0,0) #map the 0th qbit measurement to 0th classical bit\n",
    "qc.measure(1,1)  #map the 1st qbit measurement to 1st classical bit\n",
    "qc.draw(output='mpl')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 577.92x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_ha = QuantumCircuit(4,2) #new quantum circuit with 4 qbits that maps to 2 classical bits\n",
    "# encode inputs in qubits 0 and 1\n",
    "qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n",
    "qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n",
    "qc_ha.barrier()\n",
    "# use cnots to write the XOR of the inputs on qubit 2\n",
    "qc_ha.cx(0,2)\n",
    "qc_ha.cx(1,2)\n",
    "qc_ha.barrier()\n",
    "# extract outputs\n",
    "qc_ha.measure(2,0) # extract XOR value\n",
    "qc_ha.measure(3,0)\n",
    "\n",
    "qc_ha.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 638.12x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_ha = QuantumCircuit(4,2)\n",
    "# encode inputs in qubits 0 and 1\n",
    "qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n",
    "qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n",
    "qc_ha.barrier()\n",
    "# use cnots to write the XOR of the inputs on qubit 2\n",
    "qc_ha.cx(0,2)\n",
    "qc_ha.cx(1,2)\n",
    "qc_ha.barrier()\n",
    "# use ccx to write the AND of the inputs on qubit 3\n",
    "qc_ha.ccx(0,1,3) #control qbits are 0 and 1 target qbit is 3\n",
    "# extract outputs\n",
    "qc_ha.measure(2,0) # extract XOR value\n",
    "qc_ha.measure(3,1) # extract AND value\n",
    "\n",
    "qc_ha.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Calculate 1 + 1 = 10 and plot the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts = execute(qc_ha,Aer.get_backend('qasm_simulator')).result().get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Calculate 0 + 1 =01 and plot the results\n",
    "qc_ha = QuantumCircuit(4,2)\n",
    "# encode inputs in qubits 0 and 1\n",
    "#qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n",
    "qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n",
    "qc_ha.barrier()\n",
    "# use cnots to write the XOR of the inputs on qubit 2\n",
    "qc_ha.cx(0,2)\n",
    "qc_ha.cx(1,2)\n",
    "qc_ha.barrier()\n",
    "# use ccx to write the AND of the inputs on qubit 3\n",
    "qc_ha.ccx(0,1,3) #control qbits are 0 and 1 target qbit is 3\n",
    "# extract outputs\n",
    "qc_ha.measure(2,0) # extract XOR value\n",
    "qc_ha.measure(3,1) # extract AND value\n",
    "\n",
    "counts = execute(qc_ha,Aer.get_backend('qasm_simulator')).result().get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Calculate 1 + 0 =01 and plot the results\n",
    "qc_ha = QuantumCircuit(4,2)\n",
    "# encode inputs in qubits 0 and 1\n",
    "qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n",
    "#qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n",
    "qc_ha.barrier()\n",
    "# use cnots to write the XOR of the inputs on qubit 2\n",
    "qc_ha.cx(0,2)\n",
    "qc_ha.cx(1,2)\n",
    "qc_ha.barrier()\n",
    "# use ccx to write the AND of the inputs on qubit 3\n",
    "qc_ha.ccx(0,1,3) #control qbits are 0 and 1 target qbit is 3\n",
    "# extract outputs\n",
    "qc_ha.measure(2,0) # extract XOR value\n",
    "qc_ha.measure(3,1) # extract AND value\n",
    "\n",
    "counts = execute(qc_ha,Aer.get_backend('qasm_simulator')).result().get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Calculate 0 + 0 =00 and plot the results\n",
    "qc_ha = QuantumCircuit(4,2)\n",
    "# encode inputs in qubits 0 and 1\n",
    "#qc_ha.x(0) # For a=0, remove the this line. For a=1, leave it.\n",
    "#qc_ha.x(1) # For b=0, remove the this line. For b=1, leave it.\n",
    "qc_ha.barrier()\n",
    "# use cnots to write the XOR of the inputs on qubit 2\n",
    "qc_ha.cx(0,2)\n",
    "qc_ha.cx(1,2)\n",
    "qc_ha.barrier()\n",
    "# use ccx to write the AND of the inputs on qubit 3\n",
    "qc_ha.ccx(0,1,3) #control qbits are 0 and 1 target qbit is 3\n",
    "# extract outputs\n",
    "qc_ha.measure(2,0) # extract XOR value\n",
    "qc_ha.measure(3,1) # extract AND value\n",
    "\n",
    "counts = execute(qc_ha,Aer.get_backend('qasm_simulator')).result().get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 670.628x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#FIRST NAIVE ATTEMPT AT A QUANTUM HALF ADDER USING HADAMARD GATES ON THE INPUT BITS\n",
    "#Calculate 0 + 0 =00 and plot the results\n",
    "qc_ha = QuantumCircuit()\n",
    "# encode inputs in qubits 0 and 1\n",
    "qr = QuantumRegister(4,'qreg') #Define a two bit quantum register with name qreg\n",
    "cr = ClassicalRegister(2,'creg') #You DO NOT get state vectors from quantum measurements you get probability distributions!!\n",
    "# so map QBITS to classical bits or map quantumr registers to classical registers\n",
    "\n",
    "qc_ha.add_register( qr ) #Add the quantum register to the quantum circuit\n",
    "qc_ha.add_register( cr ) #Add the classical register to the quantum circuit\n",
    "\n",
    "\n",
    "# encode inputs in qubits 0 and 1\n",
    "qc_ha.h( qr[0] ) #Add an H (Hadamard) gate to the circuit and tell it to ACT on the 0th QBIT in the register\n",
    "qc_ha.h( qr[1] ) #Add an H (Hadamard) gate to the circuit and tell it to ACT on the 1st QBIT in the register\n",
    "qc_ha.barrier()\n",
    "\n",
    "\n",
    "# use cnots to write the XOR of the inputs on qubit 2\n",
    "qc_ha.cx(0,2)\n",
    "qc_ha.cx(1,2)\n",
    "qc_ha.barrier()\n",
    "# use ccx to write the AND of the inputs on qubit 3\n",
    "qc_ha.ccx(0,1,3) #control qbits are 0 and 1 target qbit is 3\n",
    "\n",
    "#qc_ha.h( qr[2] ) #Add an H (Hadamard) gate to the circuit and tell it to ACT on the 2nd QBIT in the register\n",
    "#qc_ha.h( qr[3] ) #Add an H (Hadamard) gate to the circuit and tell it to ACT on the 3rd QBIT in the register\n",
    "\n",
    "\n",
    "# extract outputs\n",
    "qc_ha.measure(2,0) # extract XOR value\n",
    "qc_ha.measure(3,1) # extract AND value\n",
    "\n",
    "\n",
    "qc_ha.draw(output='mpl')\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts = execute(qc_ha,Aer.get_backend('qasm_simulator')).result().get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}