{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ceaa2caf",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import japanize_matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "fed86146",
   "metadata": {},
   "outputs": [],
   "source": [
    "def hadamard_matrix(n: int) -> sympy.Matrix:\n",
    "    m = 2 ** n\n",
    "    return sympy.Matrix([[(-1) ** bin(i & j).count('1') for j in range(m)] for i in range(m)]) / sympy.sqrt(2) ** n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "369c6ee4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{array}{cccccccccccccccc}\\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4}\\\\\\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4}\\\\\\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4}\\\\\\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4}\\\\\\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4} & - \\frac{1}{4} & - \\frac{1}{4} & \\frac{1}{4}\\end{array}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4],\n",
       "[1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4],\n",
       "[1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4],\n",
       "[1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4],\n",
       "[1/4,  1/4,  1/4,  1/4, -1/4, -1/4, -1/4, -1/4,  1/4,  1/4,  1/4,  1/4, -1/4, -1/4, -1/4, -1/4],\n",
       "[1/4, -1/4,  1/4, -1/4, -1/4,  1/4, -1/4,  1/4,  1/4, -1/4,  1/4, -1/4, -1/4,  1/4, -1/4,  1/4],\n",
       "[1/4,  1/4, -1/4, -1/4, -1/4, -1/4,  1/4,  1/4,  1/4,  1/4, -1/4, -1/4, -1/4, -1/4,  1/4,  1/4],\n",
       "[1/4, -1/4, -1/4,  1/4, -1/4,  1/4,  1/4, -1/4,  1/4, -1/4, -1/4,  1/4, -1/4,  1/4,  1/4, -1/4],\n",
       "[1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4,  1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4],\n",
       "[1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4],\n",
       "[1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4],\n",
       "[1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4],\n",
       "[1/4,  1/4,  1/4,  1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4,  1/4,  1/4,  1/4,  1/4],\n",
       "[1/4, -1/4,  1/4, -1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4, -1/4,  1/4,  1/4, -1/4,  1/4, -1/4],\n",
       "[1/4,  1/4, -1/4, -1/4, -1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4,  1/4,  1/4, -1/4, -1/4],\n",
       "[1/4, -1/4, -1/4,  1/4, -1/4,  1/4,  1/4, -1/4, -1/4,  1/4,  1/4, -1/4,  1/4, -1/4, -1/4,  1/4]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hadamard_matrix(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "72c4ba67",
   "metadata": {},
   "outputs": [],
   "source": [
    "def not_matrix(n: int, mask: int = None) -> sympy.Matrix:\n",
    "    if mask is None:\n",
    "        mask = (1 << n) - 1\n",
    "    m = 2 ** n\n",
    "    mat = sympy.Matrix.zeros(m)\n",
    "    for i in range(m):\n",
    "        mat[i, i ^ mask] = 1\n",
    "    return mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d7931e87",
   "metadata": {},
   "outputs": [],
   "source": [
    "def cphase_matrix(n: int, phase) -> sympy.Matrix:\n",
    "    m = 2 ** n\n",
    "    mat = sympy.Matrix.eye(m)\n",
    "    mat[m - 1, m - 1] = sympy.exp(1j * phase)\n",
    "    mat.simplify()\n",
    "    return mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6502cce8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def flip_matrix(n: int, mask: int, phase) -> sympy.Matrix:\n",
    "    not_ = not_matrix(n, ~mask)\n",
    "    return not_ * cphase_matrix(n, phase) * not_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b8d8ae86",
   "metadata": {},
   "outputs": [],
   "source": [
    "def grover_matrix(n: int) -> sympy.Matrix:\n",
    "    had = hadamard_matrix(n)\n",
    "    not_ = not_matrix(n)\n",
    "    z = cphase_matrix(n, sympy.pi)\n",
    "    return had * not_ * z * not_ * had"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "39aa94c6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def init_state(n: int) -> sympy.Matrix:\n",
    "    v = [0] * 2 ** n\n",
    "    v[0] = 1\n",
    "    return hadamard_matrix(n) * sympy.Matrix(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b2b92822",
   "metadata": {},
   "outputs": [],
   "source": [
    "def as_prob(x):\n",
    "    return (x * x.conjugate()).simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a2d7caa4",
   "metadata": {},
   "outputs": [],
   "source": [
    "num_qubits = 2\n",
    "number_to_flip = 1\n",
    "p = sympy.var('p')\n",
    "reg = init_state(num_qubits)\n",
    "flip = flip_matrix(num_qubits, number_to_flip, p)\n",
    "grover = grover_matrix(num_qubits)\n",
    "aa = grover * flip\n",
    "aa.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f6796593",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{array}{cccccccccccccccc}\\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8}\\end{array}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[ 7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grover"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "dad9e400",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{array}{cccccccccccccccc}\\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7 e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8} & - \\frac{1}{8}\\\\- \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{e^{1.0 i p}}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & - \\frac{1}{8} & \\frac{7}{8}\\end{array}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[ 7/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8,  7/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8,  7/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8, 7*exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8, -1/8],\n",
       "[-1/8, -1/8, -1/8,  -exp(1.0*I*p)/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8,  7/8]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e085580d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "121/256\n",
      "3721/4096\n",
      "63001/65536\n",
      "609961/1048576\n",
      "2105401/16777216\n",
      "5470921/268435456\n",
      "1567288921/4294967296\n",
      "57455610601/68719476736\n",
      "1090915491961/1099511627776\n"
     ]
    }
   ],
   "source": [
    "op = aa.subs(p, sympy.pi)\n",
    "op.simplify()\n",
    "b = reg\n",
    "x = [0]\n",
    "y = [as_prob(b[number_to_flip])]\n",
    "for i in range(1, 10):\n",
    "    b = op * b\n",
    "    b.simplify()\n",
    "    x.append(i)\n",
    "    y.append(as_prob(b[number_to_flip]))\n",
    "    print(y[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f65bde03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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M579c7zqKiEi9qfb5+XTFDpolRNEqORaAzJQ4HryoJ6P6ZDpOJ0ei7jIJKX96exn5q3bw5e+G0SwxxnUcqUV2s3gGtG/Gnz9Yyakdm9MlQ6t6iEjw+3TlTlZtL+Xpq/oyskdL8vPzGTJkiOtYchTqEZaQ8emKHXywdBs3DeuoIjjAGWN46KKeNImL4jeTFmgbZhEJCWd0bcFr1w1gRPcM11GkjupUCBtjRhtj5hhj5hljJn7nmscY84QxZvbBxzxljIlqmLgiR1bh9XHX1KW0T0vg56e1cx1H6qBZYgwTLunFim37mPjhStdxREROyP7KaowxnJTTVEt2BpFjFsLGmGzgXmA4kAe0NsZcXOMhZwOZ1tqTrbX9gXRgVANkFanVk/lr2VRUxr0X9CA6Ujc6gsXQLi246uQs9lVUY60mzolIcNpcVMbJD37C+4u3uo4ix6kuY4RHApOttSUAxphngJ8Akw9e3wJEGmMOVR9eYFl9BxU5mtYpcfy/k7O1WHkQuuf8Hngi1HsiIsHroQ9WUO2z9MlKdR1FjpM5Vi+MMeb3QKm19i8Hj7sCj1trR9R4zM3AofVC1ltrnzrC84wFxgKkp6f3mzRpUv38CY5TaWkpiYmJTl5bApvahlsb9/qYu83HJZ2iXUf5HrUNORq1j/C2eo+P+7+qYFSHKEZ1+Pb7l9pGYBg6dOg8a23eka7VpUd4O9C2xnHGwXMAGGOuBqKttbcdPL7NGHOttfb5mk9irX0WeBYgLy/PuppFqRmcoWXa0m3sKq3k8pOyiDjBXkW1Dbf+Nn0176xbxfD+3bkgN7CWGVLbkKNR+whffr/lsadmkt7E8sDVQ763dr3aRuCry2DK94ALjTGH9qm9FnirxvXufLugjgY61k88kdrtq/DyhylLePmrTWh0afC7bnB7+mWncueUJUfclUlEJNAs3FLM4i3FjBvRRRs4BaljFsLW2q3AA8DnxpivgO3W2snGmHxjTAYwEehvjJlpjJkN9AUeadDUIsDjH69mZ2kl943SGNNQEOmJ4LHRufj9llv+u0C7zolIwOuTlcqHNw/mIm2WEbTq9PXFWvsS8NJ3zg2pcXhBPWYSOaZlhXt5YeYGLu+fpckJISSrWTx3nd+d215fxOvfbGF0XhvXkUREjmjnvkrSkmLo0EJjgIOZ+vEl6Fhr+cNbS0iJi+I27d0eci7t15poTwTn9Gp57AeLiDiwY28FQx/J55YzO3PtqW2P/QsSsFQIS9AxxvDr0ztSVuUjJT7wVhiQE2OMYdTB24wlZV5ioiKIjfI4TiUi8j+PfLiSKp+fYV1auI4iJ0g7D0hQObTc36BOaYzsoS0sQ1lJuZeRT3zOhGnadU5EAsfSwhJem7eFawbmkNM8wXUcOUEqhCWo/OGtJdqON0wkx0UxvFs6//xiPV+s3uU6jogI1lrue2c5KXFR/HKYFsgKBSqEJWjM21jEf2Zvoqra7zqKNJLxZ3WlfVoCt762kOKyKtdxRCTMbS4qZ3FBCTcP70RyXJTrOFIPVAhLUKj2+bnjzSW0TI7lV6frW3i4iIv28PhlfdhVWsmdU5ZwrJ0wRUQaUlazeD69dQiX989yHUXqiQphCQovzNzAim37uOu8biTEaI5nOOnZOpmbh3dib0U1lbobICKOrN+1H2staUkxRHlUPoUK/U1KwCurquav09cwtHMaI7prglw4um5we178yUlaPUJEnCguq2LU37/k/neXu44i9UxdaxLw4qMjee26AcRFeTBGO8iFo0M7BxYUl/PizA38bmQX7SYoIo3m8Y9Xs6/Cy6Xa5CfkqEdYAtreCi8AndKTaNM03nEacW322t08+/k6npuxznUUEQkTa3eW8p/ZGxnTP4vOGUmu40g9UyEsAavC6+P8v37Bg+/rVpQccFHfTM7qkcHED1eytLDEdRwRCQMPvrec2CgPN5/RyXUUaQAqhCVgPfPZOjbsLuPUDs1dR5EAYYzhgQt7khofzW8mLaDC63MdSURC2J79VazYto8bhrYnLSnGdRxpACqEJSBt3L2fv+ev4dxeLTmtY5rrOBJAUhOimXBpb1bvKOWp/LWu44hICEtNiObj3w7mp6e2dR1FGogmy0nAsdbyx7eWEu2J4A/ndnMdRwLQ4E5pPDEml2FdWriOIiIhamlhCe3TErVaTYhTj7AEnC17ypm/aQ+/Hd6J9CaxruNIgLogN5Ok2Cgqq32HJ1WKiNSH0spqfvz8XG55baHrKNLA1CMsAadN03im3zqEFG1fKcdQ7fNzyVOzaNM0jr9f0VfL64lIvXg6fy27Siv5+WntXEeRBqYeYQko8zftwe+3NE+MIVI798gxRHoiOKtnBu8t3sYb3xS4jiMiIaCguJznZqxjVG4rctukuI4jDUyVhgSMFdv2csnTs3jqM02Akrr7xaD29M9pyl1Tl7K5qMx1HBEJcn/+YAUA40Z2cZxEGoMKYQkIfr/lzjeX0CQ2kiv6Z7mOI0HEE2GYOLo3ALf8dyE+v3WcSESCVYXXR8GecsYOakdmSpzrONIIVAhLQJj8zRa+3riH28/qQmpCtOs4EmTaNI3nnvO7U1pZTdH+KtdxRCRIxUZ5eO26Adw0rKPrKNJINFlOnCsuq+LB91fQLzuVS/tpH3f5YS7qm8n5ua2I0thyEfkB5m/aQ2ZqHC2SYomO1MTbcKFPDHFua0kFKfFR3DeqBxERevORH8YYQ5QngpJyLw++v1y7zolInVV4ffzy5fn88qX5rqNII1OPsDjXtWUTPr55sIpgqRdLCkp45rN1VHr93H1+d9dxRCQIPP/legqKy5lwSS/XUaSRqUdYnKn2+Xn+i/WUV/lUBEu9OaVDc64ZmMMLMzfw2aqdruOISIDbua+SJz9dyxld0xnYobnrONLIVAiLM/+ZvZE/vbOMz1erWJH6dftZXejYIpFxry1kjybPichRPPrRKiq8Pn5/tpZLC0cqhMWJHXsrmPjhKgZ1SuPMbumu40iIiY3y8PiYXPaUVXH/e8tdxxGRAOX3Wyq9Pn48MId2aYmu44gDGiMsTtz37nIqfX7+dH53bYsrDaJ7q2SeGNOHvlmprqOISICKiDA8elkufq0/HrbUIyyN7ovVu5i6sJDrB7cnp3mC6zgSws7u2ZKM5Fj8fktJmdd1HBEJIPM27mH51r0AmqcSxlQIS6NLbxLDhX0yuX5Ie9dRJEzc+PI3/PTFudp1TkQA8Pr83Pb6Qm56Zb56g8OcCmFpdB3Tk3jsslxiozyuo0iYOLN7Ol9v3MPTn611HUVEAsDLX21i7c793D6yi3qDw5wKYWk0m4vK+O1/F7BzX6XrKBJmRuVmck6vljz20SoWbylxHUdEHCop8/LYx6sY2L4Zp3dt4TqOOKZCWBqFtZa7pi7lgyXbqPb7XceRMGOM4f5RPWieGMNvXp1PeZV2nRMJV3+dvpqSci93ntNNk7VFhbA0jg+XbWf6ih3cfEYnWibHuY4jYSglPpqJo3tT4fVTUFzmOo6IOJIUG8XVJ2fTrVUT11EkAGj5NGlwZVXV3DN1KZ3Tk7jmlBzXcSSMndKhOdNvHUxMpMani4SrX5/R0XUECSDqEZYG91T+WgpLKrjvwh5EedTkxK2YSA+V1T4e/3gVRdp1TiRsfLNpD9NXbMdarRIh/6MeYWlwVw/IITMljpNymrqOIgLAxt1lPPnpWpZv3cvTV/XTOEGREOf3W/4wZQl79lcx/dYhWrVIDlP3nDQYay1+vyUtKYYx/bNcxxE5rFN6EreO6MS0pdt5bd4W13FEpIFN/mYLSwv38ruzuqgIlm9RISwNZsqCAi55eia7S7VcmgSen53ajpPbNeWeqUvZtFuT50RCVVlVNROmrSS3TQrn927lOo4EGBXC0iBKyrzc/+5y/BZS46NdxxH5nogIw8TRuUREGH43eZHrOCLSQJ7+bB079lXyh3O7ahiUfI/GCEuDeOTDlRTtr+KFn/TXrj0SsDJT4nhiTC6tUrSkn0ioymkWzzUDc+iXrXkq8n0qhKXeLdpSzH++2siPB+TQIzPZdRyRoxrWJf3wzyXlXpLjohymEZH6dlHf1lzUt7XrGBKgNDRC6t3Tn60lLTGGW87s5DqKSJ09+P5yLvz7l5RVVbuOIiL1YPGWEl74cj1en3YzldqpEJZ69+joXF74SX+SYtWzJsFjcMc01u3azwPvLXcdRUROkLWWP72zlL99uoYKr7ZUl9rVqRA2xow2xswxxswzxkw8wvWexphpxpjpxph3jDFt6j+qBLqSMi/lVT5iozzaulKCzsAOzfn5aW35z+xNfLpih+s4InIC3l+yjbkb9vDb4Z3VKSNHdcxC2BiTDdwLDAfygNbGmItrXPcAfwOustYOA64D9jRMXAlk97y9lHP/OoOqat2GkuB064jOdMlIYtzri7Tsn0iQqqz28eD7y+mcnsToPI0NlqOrS4/wSGCytbbEHtiX8BlgVI3rJwFbgQeMMV9woBAur++gEthmrd3NG/MLOLtnS6IjNeJGglNMpIfHx+QCsHpHqdswIvKDvPDlBjYXlXPnuV2J9OjzSI7OHGvPbWPM74FSa+1fDh53BR631o44eDwamACcChQALwD51trnv/M8Y4GxAOnp6f0mTZpUv3+SOiotLSUxMdHJa4eqar/lj1+W4/XD/afGEe0JzuXS1DbkkCqf/VY7VtuQo1H7CCwrinzM31HN5V1iXEdR2wgQQ4cOnWetzTvStbosn7YdaFvjOOPguUOKgc+stZsBjDGvcaAX+VuFsLX2WeBZgLy8PDtkyJA6xq9f+fn5uHrtUPVU/loK96/g+WvyvrUUVbBR25Ca/H7Lv2dvZHCnNDYsmau2IbXSe0dgGeI6QA1qG4GvLvcM3gMuNMYkHTy+FnirxvVZQC9jTPODxyOABfWWUAKatZaZa3cxont6UBfBIt+1a38lD763jOGPfcY1H+znlIemM2V+getYIlKL1dv3ce87y9hb4XUdRYLIMXuErbVbjTEPAJ8bY6qAGdbaycaYfGCMtXabMeZm4M2DE+eWAv/XoKklYBhjePEn/SnT8jQSYmau2Y3Pgtd3YPhYQXE5499YDMCoPpkuo4nIEdz37nK+2bSHG4d2cB1Fgkiddpaz1r4EvPSdc0Nq/PwpcFq9JpOAt2hLMRnJsbRIiiUxRpsUSmiZMG3l4SL4kHKvjwnTVqoQFgkw+St38NmqndxxdleaJkS7jiNBRNMp5Qcpr/Jxw0vfcP1/vnEdRaRBFBYfefGb2s6LiBvVPj8PvLec7GbxXD0w23UcCTIqhOUH+dunq9myp5zbRnR2HUWkQbRKiTuu8yLixqS5m1m1vZTxZ3UlJtLjOo4EGRXCctzW7Cjl2c/XcVHfTH7UrpnrOCINYtyIzsRFfftDNS7Kwzh9+RMJKAPaN+OXQzsworsmbMvx08BOOS7WWv741hLiojyMP6ur6zgiDebQOOAJ01ZSUFxOq5RYOqcnsrmozHEyEampfVoit+oLqvxA6hGW41JZ7adFUgzjRnYhLcn9YuUiDWlUn0y+vH0YL4xMYObtp5MYG83fPl3Dlj0qhkVc21xUxo0vfaNx+3JCVAjLcYmN8vD4mD5c9aMs11FEGt34s7pgDDzw3nLXUUTC3kPvr2D6ih1EmODczVQCgwphqbN/zdrA8q17gQPrB4uEm1YpcdwwpAPvLd7GzLW7XMcRCVtzNxTx7uKt/GJwOzKSY13HkSCmQljqZElBCXdPXcorcza5jiLi1NhB7WidGseD763AWnvsXxCReuX3W+57ZxnpTWIYO6id6zgS5DRZTo7J77fcMWUJTRNiuOVMTUiQ8BYb5eHR0bk0S4zWnRERB6YuLGThlhImXtqb+GiVMXJi1ILkmCbN3czCzcU8flkuyXFRruOIONe/bdPDP1f7/ER6dHNNpLEM7pTG70Z24ULt8Cj1QO/eclS7Sit5+IMVnNyuKRfktnIdRyRg+P2WG1/6hnveXuY6ikhYSU2I5voh7YmI0B0ZOXEqhOWoEmMiuXpANveN6qHbwCI1REQY0pJieOmrjYcnkYpIw9m+t4LRT89iWaH+vUn9USEsRxUb5eGWMzvToUWS6ygiAefmMzqRHBfFPW8v1cQ5kQb2yLSVzN+8h4QYbaMs9UeFsByR1+fnZy/O5cs1WiJKpDbJ8VHccmZnZq8r4r3F21zHEQlZSwpKeP2bLVwzMIfsZgmu40gIUSEsR/T8F+v5ePkOyqt8rqOIBLTL+2fRtWUTnsxfo15hkQZgreW+d5eRGh/NL4d1dB1HQoxWjZDvKSwu5/GPV3NG13TO6JbuOo5IQPNEGP56eS7NEmI0jl6kAeSv3MnsdUXce0F3rVwk9U6FsHzPn95ehsVy13ndXEcRCQqHxtD7/Jb9VdU0idWHtUh9OaVDcx6+uCcX923tOoqEIA2NkG/5at1uPli6jZuGdaRN03jXcUSChrWWy5+dzfjJi11HEQkZ1lqiIyO47KQsrdctDUKtSr7lpJymPDEml5+fpm0rRY6HMYZTOjTn3cVbmblWk0xFTtSe/VWMePxzZqze6TqKhDAVwnJYZbWPiAjDBbmZREeqaYgcr18MbkdmShx/ensZ1T6/6zgiQe2JT1azZkcpLZJiXUeREKZqRwBYt7OUUx76VN+8RU5AbJSHO8/pyopt+3hlzibXcUSC1podpfx79kYu759F5wytYy8NR4WwYK3lj28tpdLr0xuOyAka2SODAe2a8eb8Ai2nJvIDPfjecuKjPNw8vJPrKBLitGqE8O7irXyxZhf3nN9dt6BETpAxhicuzyUlLlrLqYn8AAs2F/PJih3cflYXmifGuI4jIU6FcJjbV+HlT28vo3urJlx1crbrOCIh4dAXyv2V1ZSUe2mVEuc4kUjw6N06meevyWNg++auo0gYUCEcpqbML2DCtJUUFJcDcOXJWXgi1HslUl+stVz81ExS4qN45ecnq3dYpA68Pj9RngiGddFmTtI4NEY4DE2ZX8D4NxYfLoIBns5fx5T5BQ5TiYQWYwxXnpzN7HVFvL9km+s4IgGvtLKaYRPzeX3eFtdRJIyoEA5DE6atpNzr+9a5cq+PCdNWOkokEpqu6J9F15ZNuP/d5ZRX+Y79CyJh7Kn8NWwuKqdji0TXUSSMqBAOQ4U1eoLrcl5EfhhPhOHu87pRUFzOM5+vdR1HJGBt2VPGczPWc2GfTHq3SXEdR8KICuEw1KLJkWfhakKPSP37UbtmnNOrJYu3lGg5NZFaPPzBSgwwbkRn11EkzGiyXJix1tIsIZrteyu/dT4uyqM3IJEG8sglvYmNitCEOZEj2LS7jHcXFXLj0A7qkJFGp0I4zExdWMiyrfsYlduKuRv2UFhcTquUOMaN6MyoPpmu44mEpLhoD3Bg+FFJuZeuLZs4TiQSOLKaxTP1l6fStnmC6ygShlQIh5nteyvon9OUiaNztVyaSCOy1vLj5+fgiTC8c9OpRHo0Mk1kf2U1CTGR9MhMdh1FwpTeicPM2EHteWXsySqCRRqZMYabh3dixbZ9vDJnk+s4Is5VeH2MePxz/vLJatdRJIypEA4TM1bvJH/lDgAVwSKOnNUjg5PbNWXiR6soLqtyHUfEqX9+sZ4te8rJy0l1HUXCmArhMLC3wsu41xbx0Psr8Pk1a13EFWMMd5/fnb3lXh79aJXrOCLO7NhXwZOfrmF4t3RtpSxOqRAOAw+9v4Id+yp46OJe6g0WcaxLRhOuHpBDtd9qOTUJW499tIrKaj/jz+riOoqEOU2WC3Gz1u7m5a828fPT2pKrRcpFAsJd53XTUmoStorLqnhn4VauHpBDuzTtIiduqRAOYRVeH+PfWERW03h+O1xrBIsEikNF8MLNxeyvrGZgB90alvCREh/Nx7cMJjbK4zqKiArhUBYTGcF1g9uT3Szh8DqmIhIYrLXc/sZi9pZ7+URFgYSJnfsqaZ4YTXqTWNdRRACNEQ5Z1lqMMYzpn8WA9s1cxxGR7zDG8Mdzu1FQXM4zn61zHUekwXl9fi57dha3vb7IdRSRw1QIh6Cqaj+jn5nFWwsKXEcRkaMY0L4Z5/RsyVOfraGguNx1HJEG9dLsjazbuZ8R3TNcRxE5TIVwCHrms7XM3bCH+GiNfBEJdOPP7oK18MB7y11HEWkwJWVeHv9kNad0aMbpXVu4jiNymCqlELN6+z7+On0N5/ZqyfBu6a7jiMgxtE6N5+bhnfAdXE5Nq0lIKPrL9NWUlHu542ytmCKBpU6FsDFmNHAr4AHyrbW31PK4fwIea+019ZZQ6sznt9w2eREJMR7uPr+76zgiUkfXDW7vOoJIg6ms9vHRsu1clteGbq2auI4j8i3HLISNMdnAvUB/YC8wyRhzsbV28nceNwqIBnwNkFPq4Is1u5i/qZjHL8uleWKM6zgichystXywZBtVPj8X5Ga6jiNSb2IiPUz7zSCqqv2uo4h8T13GCI8EJltrS+yBbZCeAUbVfIAxJp0DPcb313tCqbPBndJ468ZTuCC3lesoIvIDvDhrA3dNXUpxWZXrKCL1YnNRGZXVPuKiPSTHR7mOI/I9dRka0QzYVuN4K/Ddke7PcKAQrqjtSYwxY4GxAOnp6eTn5x9X0PpSWlrq7LUbirWW7WWWjIQD32s+W+s4UJAKxbYh9aOx2sY5Lf18tc7LLS98yv/rprs6wULvHUfmt5a7Z1aQEAW/6x/nOo4TahuBry6F8HagbY3jjIPnADDG/AJYZq2dbYzJqe1JrLXPAs8C5OXl2SFDhvyQvCcsPz8fV6/dUF77ejN3frSY168fqG2UT0Aotg2pH43ZNlb5lvDynE2Mu6gvXTI0njIY6L3jyF77ejOb9i3iiTG5DAnT4T5qG4GvLkMj3gMuNMYkHTy+FnirxvURQG9jzBQOFLrDjDGP1GtKqdWOfRXc+84y+mal0isz2XUcETlBvx3eicSYSO6ZuowDo9FEgs/+ymomTFtJbpsUzu+t4XoSuI7ZI2yt3WqMeQD43BhTBcyw1k42xuQDY6y1Fx167MEe4buttbc2VGD5trveWkpFtZ+HLu5JRISWpBEJdqkJ0dx9fjcitMSUBLFnPl/Hjn2VPHVVPy2XJgGtTsunWWtfAl76zrkhR3jcBuCaesgldfD+4q28v2QbvxvZhXZpia7jiEg9ubBPa9cRRH4way1z1u/mvN6t6Jed6jqOyFFpQ40gVlBcTm6bFH5+WttjP1hEgoq1lmc/X0eEMfx8UDvXcUTqzBjDyz87mTKvVlOVwKdCOIj97LR2XDMwh0iPdsoWCTXGGBZtKeGTFds5u1dLMlPCc9a9BIcp8wuYMG0lhcXlpCfHcvvILozqE54T5CS4qIIKQrPW7ubTFTsAVASLhLDxZ3fBWnjwveWuo4jUasr8Asa/sZiC4nIssK2kgvFvLGLK/ALX0USOSVVUkNlfWc2try3k3neX4fVplx6RUNY6NZ7rBrfnnUVb+WrdbtdxRI5owrSVlH9nGES518+EaSsdJRKpOxXCQWbCtJUUlpTz54t7EaXeYJGQd93g9rRKjuWet7WcmgSmwuLy4zovEkg0RjiIzNtYxIuzNnD1ydnk5TR1HUdEGkFctIc/X9KbuOgILUMlASkjOZatJd/fWLaVxrVLEFCXYpCorPZx2+uLaJUcx7iRXVzHEZFGdGrH5vTLPvDlV73CEmh+fXpHPN/5khYX5WHciM6OEonUnXqEg0S0J4JfDGpPy5RYEmP01yYSbqy13PP2MoyBu87r7jqOCHCgXY7pn0VslOfwqhGtUuIYN6KzVo2QoKCKKghYazHGMPqkNq6jiIgjxhiq/X5embOZMSdl0Tkj6di/JNKA5m0s4k9vL+PJq/oxqk+mCl8JShoaEeCqfX6u/MdXvDl/i+soIuLYLcM7kxgTyT1vL9UQCXFqV2klN7z0DcXlXt2llKCmQjjA/fOL9cxcu5uYSI/rKCLiWGpCNLec2YmZa3czbek213EkTPn8ll+9Mp/iMi9PXtmX5Lgo15FEfjAVwgFs/a79PPrRKkZ0T+esHhmu44hIALiifxZdMpJ45MNV6hUWJx79aCUz1+7mvlE96N4q2XUckROi+xkByu+33D55EdGREdx7QQ8tmyQiwIHdJCeO7k2T2Ci9L0ijq/D6mL5iJ2NOasOleZq3IsFPhXCAmr1+N1+tL+LPF/eiRZNY13FEJIAc6oWz1lJZ7Sc2SkOnpHHERnl44/qB6DuYhAoNjQhQA9s3580bBnJpXmvXUUQkAFlrue4/8xj3+iLXUSQMVHh9/PmDFZRWVhMX7dGXLwkZKoQDjLWW9bv2A9AnK1W3PkXkiIwxdM5owtsLC/lq3W7XcSTE3fXWUp7MX8v8TXtcRxGpVyqEA8zUhYWc8ehnfL2hyHUUEQlw1w9uT6vkWO5+exk+vybOScP479zNvPr1Zn45tAOndUxzHUekXqkQDiC7Syu55+1l9MxMpk9Wqus4IhLg4qI9/P6crizfupdJcze5jiMhaElBCX94awmndGjGzcM7uY4jUu9UCAeQP72zjH0VXv58SS88ERoSISLHdk7PlvyobVNenLkBv3qFpR5Za7ljyhJS46P5y5g++lySkKRVIwLEJ8u389aCQm4+oxOd0rV1qojUjTHmwHJqcVFEqFCRemSM4ckr+7JnfxXNEmNcxxFpEOoRDhCbi8rokdmE64e0dx1FRIJM69R4msRG4fX52VVa6TqOhIB5G/fg91syU+LokalNMyR0qRAOENec0pYpN5xCdKT+SkTk+FlrufK5r/j1pPnacU5OyMy1u7j06Zn844t1rqOINDhVXY7N3VDE9BXbgQM7RomI/BDGGM7p1ZIv1+xm2tJtruNIkNpWUsGvXplPu7RErvxRtus4Ig1OlZdD5VU+xr22kLunLqOq2u86jogEuSt/lEXn9CTue3c5FV6f6zgSZLw+Pze+/A1lVT6evqovCTGaRiShT4WwQ49/vIoNu8t46KKeGhIhIics0hPBXed1Y8uecp77XLe15fg89P4K5m3cw8MX96JDC03alvCg6suRRVuKeW7GOi7v34aBHZq7jiMiIWJgh+ac1SOD6St3aDk1OS4jumdw8xmdOK93K9dRRBqN7ns44PX5ue31RaQlxXD7WV1dxxGREPPQRb1IiPFoOTWpkwqvj9goD/3bNqV/26au44g0KhXCDkRGGK49tS3NE6NJjotyHUdEQkxy/IH3lZJyL7tLK2mXlug4kQSq/ZXVXPTkTC7o04obhnRwHUek0akQbmTWWowxjM5r4zqKiIQway1X/eMrfH7L2zedql3B5HustYx/YzGrd+yjd+sU13FEnNAY4Ubk81t+/H9zeX3eFtdRRCTEGWMYO6gdy7bu5dW5m13HkQD079kbmbqwkFvO7MwpmqsiYUqFcCP616wNfL5qJ1ouWEQaw7m9WtK/bVMmTFtBSZnXdRwJIPM37eHed5ZxepcWXD9YO5pK+FJJ1kg2F5Xx5w9WMqRzGqNyM13HEZEwYIzhrvO6UVLu5bGPV7mOIwFkU1EZWU3jeXR0riZVSljTGOFGYK3l928uJsLA/Rf2xBi96YhI4+jeKpnL+2dRUFyO329V9AgAF+RmcnbPlkTpFqWEORXCjeDrjXuYsXoX917QncyUONdxRCTM3H1+dxU8AsCT+WtonRrP+b1bqU2IoKERjeKknKa8ccNA7dsuIk4cKng27t7PvI1FjtOIK5+u2MGfP1jJjFU7XUcRCRgqhBvYpt1lAPTNStUtSRFxxlrLL1+ez29eXUCF1+c6jjSyzUVl/ObVBXRt2YR7R/VwHUckYKgQbkAfLNnK0In5zFq723UUEQlzxhhuP6sLm4vK+ceMda7jSCOq8Pq44aVv8FvLU1f2JTbK4zqSSMBQIdxASsq83DllKV0yksjLSXUdR0SEUzo0Z2T3DP7+6Vq2lpS7jiON5MNl21lcUMLES3uT0zzBdRyRgKJCuIHc9+4y9pRV8fDFvTQhQUQCxh3ndMVnLQ++t8J1FGkk5/duxTs3ncqZ3TNcRxEJOKrQGsCM1Tt5bd4WfjGoHT0yk13HERE5rE3TeG4c0oGmCdH4/dZ1HGlAK7btZUlBCYA+i0RqoeXTGsCGXfvpkpHEr07v6DqKiMj3/PoMvTeFur0VXq779zz8FqbfMphI3ZkUOSIVwg3g/w3IYUz/LA2JEJGANmd9EUX7qxjZQ7fMQ4m1llv/u5DNe8qZNPZkFcEiR1Gnfx3GmNHGmDnGmHnGmIlHuH6TMWa2MWaWMeZJY0xY/qubv2kPnyzfDqAiWEQCmrWWRz5cye/fXExJmdd1HKlHz81Yx4fLtjP+rC6clNPUdRyRgHbMas0Ykw3cCwwH8oDWxpiLa1zvDpwHnGKtHQCkAec2TNzAVVntY9zri/jjW0u1RqeIBDxjDHed143isioe/2SV6zhSTxZtKebhD1Zyds8MfnpqW9dxRAJeXbotRwKTrbUl1loLPAOMOnTRWrsUON9ae6j6iwTCbl2ev09fw5odpdx/YQ+t0SgiQaF7q2TG9M/iX7M2snr7PtdxpB50bdmEW87sxMMX98IYbeIkcix1KYSbAdtqHG8FWtR8gLW2whiTYox5GVhgrf2oHjMGvOVb9/Jk/lou6pvJkM4tjv0LIiIB4tYzO5MQ7eGet5dxoK9DgpHX56dofxVRnghuGNKBpNgo15FEgoI51hufMeanQFtr7Z0Hj4cCP7HWXl3jMT2AicAfrbVf1fI8Y4GxAOnp6f0mTZpUP3+C41RaWkpiYmK9PZ/Pb7lvdgW7K/w8cGo8idH6Bh6s6rttSOgI9bbx2WYv5dVwZk4kEepFPG6B0D4mrajkq60+7j0lTp9DASQQ2obA0KFD51lr8450rS6rRrwHfGyMedhauw+4Fphy6KIxJg14HLjYWltS25NYa58FngXIy8uzQ4YMqWv+epWfn099vra1lqImW2gSF8UILVYe1Oq7bUjoCPW2McR1gCDnun18sGQrH2z4hqsHZHPumT2c5ZDvc9025NiOWQhba7caYx4APjfGVAEzrLWTjTH5wBjgEqAt8FaN8UgvHyx8Q5q1FmMMl+a1cR1FROSEWGt5c34B+6t8/L+Ts13HkTpat7OUW19bRO82KdxxTlfXcUSCTp3WEbbWvgS89J1zQw7++LeD/4UVv98y9t9fc2b3DEarEBaRIGeM4cOl2/l89U6Gd00nIznWdSQ5hrKqaq7/zzdEeQxPXtmXmEhN1BY5Xlrs9geaNHczHy/foS1KRSRk3HFOV6r9lofeX+46itSBt9rSKiWWJ8b0ITMlznUckaCkQvgH2FpSzoPvLWdAu2ZcdpJ6g0UkNLRpGs8vBrVjyoJCvt5Q5DqOHIW1luT4KJ6/5iQGdUpzHUckaKkQPk7WWu58cwlev5+HLu6pdRpFJKRcP6Q9LZNjufvtpfh0xysgLdxczBXPfcWOvRX6DBI5QXUaIyz/s3BLCZ+s2MGd53Qlu1mC6zgiIvUqPjqS+0b1oNpviVCNFXD27K/ihpe+ASDKo74skROlQvg45bZJYfL1A8htk+o6iohIgzi9a7rrCHIEfr/lN68uYOe+Sl67bgCpCdGuI4kEPX2dPA6bi8oA6JfdFI+6SkQkxP1t+mr+/MEK1zHkoL9OX8Nnq3Zy1/nd6N0mxXUckZCgQriOPlm+nSGP5PPF6l2uo4iINIrCkgqe+Xwdq7fvcx0l7FV4fby1sICL+mRyRf8s13FEQoYK4TrYV+HljjeX0CEtkf5tm7qOIyLSKG49szMJ0R7+9M4yrNXEOZdiozxMufEU7ruwhybIidQjFcJ18ND7K9ixr4KHL+lFdKT+l4lIeGiaEM3NwzsxY/UuPlq23XWcsFRZ7ePvn66hwuujSWwU8dGa2iNSn1TVHcPsdbt56atNXHtKW3I1JktEwsxVJ2fTsUUiD7y3XMupOXDfO8uZMG0lX63Xus4iDUFfLY9h7c5SOrRI5LdndnIdRUSk0UV5IvjzJb2I8kRoknAjmzK/gH/P3sjPT2vLYG2aIdIgVAgfw5U/ymZ0Xhut1ygiYatP1v+Wi/T5rQriRrBq+z7Gv7GY/jlNuW1kF9dxREKWCuFaLCkoYVtJBWd0S1cRLCICXPHcLOZvKqHC66NVShzjRnRmVJ9M17FCjrWWca8tJCEmkr9d0UefQSINSIXwEXh9fsa9vojdpZWc0qE5cdEe15FERJyaMr+AOev3UH1wnHBBcTnj31gMoGK4nhljeOyyXPaUeWnRJNZ1HJGQpq+ZR/Ds5+tYvnUv943qoSJYRASYMG3l4SL4kHKvjwnTVjpKFJqWFe7FWku7tET6ZWsHU5GGpkL4O9bsKOWJj1dzTq+WnNk9w3UcEZGAUFhcftTz1T5/Y8YJSXM3FHHe377ghZkbXEcRCRsqhGvw+y2/m7yI+BgPd5/X3XUcEZGA0Solrtbzm4vKOPnBT7j/3WWs2VHayMlCw859ldz40je0SY3j4n6tXccRCRsaI1yDMXB5/yxioyJIS4pxHUdEJGCMG9GZ8W8sptzrO3wuLsrDuBGdqfL5OSmnKf/35Qaem7Ge/jlNGdO/DWf3bElslIaXHUu1z89Nr3zD3govL17bnyaxUa4jiYQNFcI1GGO4RN/ERUS+59CEuAnTVlJYXP69VSOeuqofO/dVMvmbLUyas4nbXl/EaR3TiI3yUFZVrR3RjmLiR6uYva6IiZf2pmvLJq7jiIQVvTNxYKmaG176hsGd0hjTP8t1HBGRgDSqT+ZRV4hIS4rhusHt+cWgdqzeUXr4ztpP/m8uldV+Lu/fhnN7tSIhRh89Nf2obVP81mpIhIgDGiMMvD5vC+8v2UaVJnuIiJwwYwyd0pOAAx0NI7pnsL+ymt9NXkz/+z9m/BuLWbFtr+OU7nkPfuYM6dyC8Wd1dZxGJDyFfSG8Y18F976zjLzsVK76UbbrOCIiIcUYw7WntuXDmwcx+foBjOzRkjfnb2HW2t0AVHh97K3wOk7Z+Cq8Pi588kte+HK96ygiYS3s70/d9dZSKqr9PHxJLyK0baiISIMwxtAvuyn9spvyx/O6EXnw/fatBQXcPXUZ5/RqyeX929A3KxVjQvu92FrLnVOWsLRwL7ecmeA6jkhYC+tCeElBCe8v2cZtIzvTPi3RdRwRkbCQHPe/VRFy26Qyqk8mUxcU8Pq8LXRKT+Syk7L4ycCckO2ceHXuZl6ft4Vfnd6RoZ1buI4jEtbCemhEj8xkXr9uAD8/rZ3rKCIiYalzRhIPXtSTOXecwUMX9SQuOpKpCwoOF8Frd5ZirT3GswSPJQUl/HHqUk7r2Jxfn97RdRyRsBe2PcJb9pTROjWevJymrqOIiIS9hJhIxvTPYkz/LPYdHDNcUu7lnL/MoGVyHJed1IZL+rWmeWJwr/G+pKCE9CYxPDGmD54Q7fEWCSZh2SP8xepdDJ6Qz6crd7iOIiIi35F0cEOJmMgIHriwJ80To3no/RUMePATbnhpHmt27HOc8Icb0z+Lj24eTNOEaNdRRIQw7BGurLbc+cYispvGM6BdM9dxRESkFrFRHi7q25qL+rZmzY59TJqzmTfmFxy+vnH3fmIiPWQkxzpMWTfPf7GenObxDOuSrt32RAJI2BTCU+YXMGHaSgqKywG4aVgHvRmJiASJDi2SuPPcbvzurC5EeQ7czPzztJW8v3grw7q04PL+WQzulEakJ/BudH6xehf3vbuM83q3YliXdNdxRKSGsCiEp8wvYPwbiyn3+g6f+8eM9bRPSzzqLkkiIhJYomoUureN6ExW03he+3oLHy//mowmsYwd1I5rT23rMOG3bS0p51eT5tM+LZEHLuzpOo6IfEfgfXVuABOmrfxWEQxQ7vUxYdpKR4lEROREZTdL4HcjuzBr/DCevqofXVomUVxWBUC1z8+HS7cd3r3NhapqPze+9A2VXh9PXdVPW0uLBKCw+FdZeHA4RF3Pi4hI8IjyRDCyRwYje2QcXmptxupdjP33PJonxnBJv9aMOakNOc0bd/OKtxcW8s2mYv5+RV86tNBa9SKBKCwK4VYpcYfHBn/3vIiIhI5Du9IN6pTG89fk8cqczTw3Yx1Pf7aWAe2a8ZfL+5CW1DhLsF3UN5PsZlqmUySQhcXQiHEjOhP3nYlxcVEexo3o7CiRiIg0JE+EYViXdJ67Oo+Ztw87/H7f7OCyZR8v295gy7Ct2VHKmh2lGGNUBIsEuLDoET40Ie7QqhGZKXGMG9FZE+VERMJAepNYbhzagRuHdgDA77fcOWUJ2/ZWkJedypj+WZzTsyVx0Se+klBpZTW/+PfXVPstn/x2cECuYiEi/xM2/0JH9cnky9uH8cLIBL68fZiKYBGRMBURYXjnV6fy+7O7ULS/iltfW0j/Bz5m8rwtJ/S81lpun7yI9bv28+CFPVUEiwSBsOgRFhERqal5YgxjB7Xn56e146v1RUyas4msZvHAgaENczcUcV7vViQex0oPL87cwDuLtnLbyM4M7NC8oaKLSD1SISwiImHLGMPJ7Zpxco2dRt9bvJVHP1rFfe8c2ATj8v5Z9GqdfHgi3pEs3lLCfe8u54yu6Vw3qH1jRBeReqBCWEREpIabhnXglA7NmTRnE28tKGTS3M2clJPKf38x4FvFcM0dS1slf83Qzmk8Mro3ERG1F8wiElhUCIuIiNRgjKFfdir9slP5w3ndmLqgkL0VXowxWGuZMG0lngjDP2aso9x7YMOOwpIK9pR5+XTFDs1BEQkiKoRFRERq0SQ2iqtOzj58XFhSwb9mbaS0svp7jz20Y6kKYZHgoSmtIiIidZSZEsdXvz+91uvasVQkuKgQFhEROQ4JMZFk1rIzqXYsFQkudSqEjTGjjTFzjDHzjDETj3D9VwevLzDG3Fr/MUVERAKHdiwVCQ3HLISNMdnAvcBwIA9obYy5uMb1U4DLgVOB/sAoY0xew8QVERFxb1SfTB68qOfhnuHMlDgevKinxgeLBJm6TJYbCUy21pYAGGOeAX4CTD54/Vzg/6y1VQevPw9cAHxd/3FFREQCw6g+mYzqk0l+fj5DhgxxHUdEfoC6DI1oBmyrcbwVaHEc10VEREREAk5deoS3A21rHGccPFfzeoujXAfAGDMWGAuQnp5Ofn7+8WatF6Wlpc5eWwKb2obURm1DjkbtQ2qjthH4jLX26A8wpiXwMXCytXafMebfwBRr7eSD1/OAR4HTAT/wCXCrtbbWoRF5eXn266/djJzQLSypjdqG1EZtQ45G7UNqo7YRGIwx86y1R5y/dsyhEdbarcADwOfGmK+A7dbaycaYfGNMxsGCdyowB5gNvH20IlhEREREJBDUaWc5a+1LwEvfOTekxs+PAI/UazIRERERkQakDTVEREREJCypEBYRERGRsKRCWERERETC0jFXjWiQFzVmJ7Cx0V/4gObALkevLYFNbUNqo7YhR6P2IbVR2wgM2dbatCNdcFIIu2SM+bq2JTQkvKltSG3UNuRo1D6kNmobgU9DI0REREQkLKkQFhEREZGwFI6F8LOuA0jAUtuQ2qhtyNGofUht1DYCXNiNERYRERERgfDsERYRERERCZ9C2Bgz2hgzxxgzzxgz0XUeCSwH28csY8wMY8x/jTHxrjNJYDHG/MEYk+86hwQOY0yWMWaKMWa6MeYjY0wv15kkMBhjfn+w5vjSGPOaMSbJdSY5srAohI0x2cC9wHAgD2htjLnYbSoJFMaYpsBtwDBr7WkcWOP6Z25TSSAxxuQBbV3nkIDzFHCbtXYYcAVQ4DiPBABjTE/gAmCAtfYUYAtwndtUUpuwKISBkcBka22JPTAo+hlglNtIEiistUXAqdba8oOnIoHyo/yKhBFjTBzwGHC76ywSOIwxGUA8MNYYMwO4Byhzm0oCxC6gkgOfJQAeYIGzNHJU4VIINwO21TjeCrRwlEUCkLW2whgTa4x5AogDnnedSQLGBOAJa+0O10EkoGQBfYB/HbyTVASMdxtJAoG1divwN+BJY8x4YA/wsdtUUptwKYS38+3CN+PgOREAjDGtgTeBD6y111lrfa4ziXvGmBFAqrX2dddZJOAUA4ustYsOHr8K9HMXRwKFMWYoMMha+1Nr7YPAUg7cMZAAFC6F8HvAhTUGq18LvOUwjwQQY0ws8AIw1lr7vuM4EljOBdIOToiaAvQwxvzLcSYJDGuAeGNM+4PHI9DtbzmgCxBT4zga6OgoixxD2KwjbIy5ErgVqAJmWGtvdRxJAoQx5lwOjBtfXeP0dGvtnxxFkgBljMm31g5xnUMCw8FVIh4Hojgw/O6n1tq9TkOJc8aYBOBJoCvg5cCck59Zaze4zCVHFjaFsIiIiIhITeEyNEJERERE5FtUCIuIiIhIWFIhLCIiIiJhSYWwiIiIiIQlFcIiIiIiEpZUCIuIiIhIWFIhLCIiIiJhSYWwiIiIiISl/w99Oa86cz17ZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax, fig = plt.subplots(1, 1,  figsize=(12, 5))\n",
    "fig.plot(x, [y.evalf() for y in y], 'o--')\n",
    "fig.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1fe61423",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax, fig = plt.subplots(1, 1,  figsize=(16, 8))\n",
    "x = np.arange(0, np.pi * 2, 0.1)\n",
    "r = reg\n",
    "for i in range(10):\n",
    "    y = np.array([r[number_to_flip].subs(p, x).as_real_imag() for x in x])\n",
    "    fig.plot(x, y[:, 0]**2 + y[:, 1]**2, label=f'{i}回AAした')\n",
    "    r = aa * r\n",
    "fig.set_xlabel('ターゲットの位相')\n",
    "fig.set_ylabel('確率')\n",
    "fig.legend()\n",
    "fig.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1b453924",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}