{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grover: factorize number"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from typing import Tuple\n",
    "from qlasskit import qlassf, Qint\n",
    "from qlasskit.algorithms import Grover\n",
    "\n",
    "\n",
    "@qlassf\n",
    "def factorize(a: Tuple[Qint[2], Qint[2]]) -> bool:\n",
    "    return a[0] * a[1] == 9\n",
    "\n",
    "\n",
    "q_algo = Grover(factorize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit, transpile\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit_aer import AerSimulator\n",
    "\n",
    "qc = q_algo.export(\"qiskit\")\n",
    "qc.measure_all()\n",
    "simulator = AerSimulator()\n",
    "circ = transpile(qc, simulator)\n",
    "result = simulator.run(circ).result()\n",
    "counts = result.get_counts(circ)\n",
    "\n",
    "counts_readable = q_algo.decode_counts(counts, discard_lower=5)\n",
    "plot_histogram(counts_readable)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2252.61x3294.28 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.draw(\"mpl\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "qlasskit_310-env",
   "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": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}