Lyapunov-Gate-Hadamard-Genetico-Histogramas.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c281fb25-0d6a-4709-8371-84fe30138a59",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Bibliotecas necessárias para o experimento\n",
    "\n",
    "import numpy as np, numpy.random\n",
    "import matplotlib.pyplot as plt\n",
    "from random import randint\n",
    "from mpl_toolkits.axes_grid1.inset_locator import inset_axes\n",
    "\n",
    "from random import randint, uniform, random\n",
    "from scipy.linalg import sqrtm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "831362ff-e7d3-432c-a57b-fa804626496e",
   "metadata": {},
   "outputs": [],
   "source": [
    "## CONSTANTES PARA O ALGORITMO GENÉTICO\n",
    "\n",
    "ELITISMO = True\n",
    "PORCENTAGEM_ELITISMO = 0.20\n",
    "\n",
    "TAMANHO_POP = 50\n",
    "TAXA_MUTACAO = 0.10\n",
    "TAXA_CRUZAMENTO = 0.70\n",
    "GERACOES = 100\n",
    "\n",
    "# Valores mínimos e máximos para gerar uma população\n",
    "MIN = 0\n",
    "MAX = 250\n",
    " # 115, 150"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7bae10e9-e05a-4d8a-a271-5f11a724e9a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def S(Ut, Uf, X):\n",
    "    W = np.dot(np.transpose(Uf), Ut)\n",
    "    T = np.transpose(W)\n",
    "    A = np.dot(np.transpose(Ut), np.transpose(X))\n",
    "    C = np.dot(A, Uf)\n",
    "    L = W - np.identity(3) - 1/2*(W - np.identity(3))**2\n",
    "    S = 2*np.trace(np.dot((-np.dot(T, C) + 2*C),L))\n",
    "    #S = 2*np.trace(np.dot((-1/2*np.dot(C, T) - 1/2*np.dot(T, C) + 2*C),L))\n",
    "    return S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a74d139d-10c7-4292-91fc-fd488e6c47c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def field(Ut, Uf, a, h, A, B):\n",
    "    SA = S(Ut, Uf, A)\n",
    "    SB = S(Ut, Uf, B)\n",
    "    f = -a*SA-h*(SB/SA)\n",
    "    return f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "36393204-3d86-4d66-848d-307116ef1180",
   "metadata": {},
   "outputs": [],
   "source": [
    "def lind(u, Ut, Uf, t, lbda):\n",
    "    n = 1\n",
    "    Ax = [[0, 0, 0],[0, 0, -1], [0, 1, 0]]\n",
    "    Ay = [[0, 0, 1],[0, 0, 0], [-1, 0, 0]]\n",
    "    Az = [[0, -1, 0],[1, 0, 0], [0, 0, 0]]\n",
    "    B = [[(1-n*2)*lbda, 0, 0],[0, (1-n*2)*lbda, 0], [0, 0, (-n*2)*lbda]] # Amplitude Damping\n",
    "    #B = [[-1.01*lbda, 0, 0],[0, -1.01*lbda, 0], [0, 0, -0.01*lbda]] # Phase Damping\n",
    "    if t == 0:\n",
    "        fx = u[0]\n",
    "        fy = u[1]\n",
    "        fz = u[2]\n",
    "        F=np.dot(u[0],Ax)+np.dot(u[1],Ay)+np.dot(u[2],Az)+B\n",
    "    else:\n",
    "        fx=field(Ut, Uf, u[0], 0.35, Ax, B)\n",
    "        fy=field(Ut, Uf, u[1], 0.31, Ay, B)\n",
    "        fz=field(Ut, Uf, u[2], 0.34, Az, B)\n",
    "        P=400\n",
    "\n",
    "        if abs(fx) > P:\n",
    "            if fx < 0:\n",
    "                fx = -P\n",
    "            else:\n",
    "                fx = P\n",
    "        if abs(fy) > P:\n",
    "            if fy < 0:\n",
    "                fy = -P\n",
    "            else:\n",
    "                fy = P\n",
    "        if abs(fz) > P:\n",
    "            if fz < 0:\n",
    "                fz = -P\n",
    "            else:\n",
    "                fz = P\n",
    "\n",
    "        F=np.dot(fx,Ax)+np.dot(fy,Ay)+np.dot(fz,Az)+B\n",
    "        \t\n",
    "    return fx,fy,fz,F"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ea216581-4d46-45e5-9de9-33fe47444a23",
   "metadata": {},
   "outputs": [],
   "source": [
    "def rungeKutta(u, Ut, Uf, h, t, lbda):\n",
    "\n",
    "    if t == 0:\n",
    "        \n",
    "        fx,fy,fz,k1 = lind(u, Ut, Uf, t, lbda)\n",
    "        k1 = np.dot(k1,Ut)\n",
    "        fx,fy,fz,k2 = lind(u, (Ut+h/2*k1), Uf, t, lbda)\n",
    "        k2 = np.dot(k2,(Ut+h/2*k1))\n",
    "        fx,fy,fz,k3 = lind(u, (Ut+h/2*k2), Uf, t, lbda)\n",
    "        k3 = np.dot(k3,(Ut+h/2*k2))\n",
    "        fx,fy,fz,k4 = lind(u, (Ut+h*k3), Uf, t, lbda)\n",
    "        k4 = np.dot(k4,(Ut+h*k3))\n",
    "        a = fx;\n",
    "        b = fy;\n",
    "        c = fz;\n",
    "\n",
    "    else:\n",
    "\n",
    "        fx,fy,fz,k1 = lind(u, Ut, Uf, t, lbda)\n",
    "        k1 = np.dot(k1,Ut)\n",
    "        fx,fy,fz,k2 = lind(u, (Ut+h/2*k1), Uf, t+h/2, lbda)\n",
    "        k2 = np.dot(k2,(Ut+h/2*k1))\n",
    "        fx,fy,fz,k3 = lind(u, (Ut+h/2*k2), Uf, t+h/2, lbda)\n",
    "        k3 = np.dot(k3,(Ut+h/2*k2))\n",
    "        fx,fy,fz,k4 = lind(u, (Ut+h*k3), Uf, t+h, lbda)\n",
    "        k4 = np.dot(k4,(Ut+h*k3))\n",
    "        a = fx;\n",
    "        b = fy;\n",
    "        c = fz;\n",
    "\n",
    "    \n",
    "    result = Ut+(h/6)*(k1+2*k2+2*k3+k4);\n",
    "    return a,b,c,result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "aaef928c-c1b8-4841-a1d9-2626a9d13933",
   "metadata": {},
   "outputs": [],
   "source": [
    "def func_objetivo(u, Ut, Uf, h, tempo, lbda):\n",
    "    a, b, c, Ut1 = rungeKutta(u, Ut, Uf, h, tempo, lbda)\n",
    "    return (np.linalg.norm(Ut1-Uf))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "14d34807-6f7a-49b9-b471-0a0f315d9bd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gerar_populacao():\n",
    "    populacao = np.zeros((TAMANHO_POP,3))\n",
    "    for individuo in range(TAMANHO_POP):\n",
    "        for genes in range(3):\n",
    "            populacao[individuo,genes] = uniform(MIN, MAX)\n",
    "    return populacao"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1e415da2-51bb-45ab-9c26-cb7c73698aea",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calcular_func(populacao, Ut, Uf, h, tempo, TAMANHO_POP, lbda):\n",
    "    valor_func = np.zeros(TAMANHO_POP)\n",
    "    for individuo in range(TAMANHO_POP):\n",
    "        valor_func[individuo] = func_objetivo(populacao[individuo,:], Ut, Uf, h, tempo, lbda)\n",
    "    return valor_func"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4fa7e339-64bf-4566-acdd-74b195efb7f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def selecao(valor_fitness):\n",
    "    pos = np.random.choice(range(TAMANHO_POP), 2, replace=False)\n",
    "    valor = valor_fitness[pos[0]] < valor_fitness[pos[1]]\n",
    "    if valor == True:\n",
    "        return pos[0]\n",
    "    else:\n",
    "        return pos[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dc674115-38e7-491f-8622-6dc456dbff3c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def divisao_fitness(valor_funcao_objetivo):\n",
    "    divisao = 0\n",
    "    for i in range(len(valor_funcao_objetivo)):\n",
    "        divisao += valor_funcao_objetivo[i]\n",
    "    return divisao\n",
    "\n",
    "def fitness(valor_funca_objetivo):\n",
    "    return valor_funca_objetivo/divisao_fitness(valor_funca_objetivo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "407419cf-49a3-4032-b401-8978fdf32118",
   "metadata": {},
   "outputs": [],
   "source": [
    "def cruzamento(pai1, pai2):\n",
    "    x = random()\n",
    "    filho1 = x*pai1+(1-x)*pai2\n",
    "    filho2 = (1-x)*pai1+x*pai2\n",
    "    return filho1, filho2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "edeb49da-4638-4cdf-b609-35302b0306cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def mutacao(individuo, horizonte):\n",
    "    \n",
    "    # Gaussian function\n",
    "    for i in range (0, horizonte):\n",
    "        if random() < TAXA_MUTACAO:\n",
    "            individuo[i] = (1/np.sqrt(2*np.pi))*np.exp((-1/2*(uniform(MIN, MAX)-2)**2))\n",
    "    \n",
    "    return individuo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "37f841b8-c606-4378-8812-e5b8e5dffc74",
   "metadata": {},
   "outputs": [],
   "source": [
    "def genetico(Ut, Uf, h, tempo, TAMANHO_POP, lbda):\n",
    "    \n",
    "    horizonte = 3\n",
    "    pop = gerar_populacao()\n",
    "    fo = calcular_func(pop, Ut, Uf, h, tempo, TAMANHO_POP, lbda)\n",
    "    fit = fitness(fo)\n",
    "    fit_edit = fit\n",
    "    min_fit = min(fit)\n",
    "            \n",
    "    melhor_fo = np.zeros(GERACOES)\n",
    "    for geracao in range(GERACOES):\n",
    "        new_pop = np.empty((0, horizonte))\n",
    "        for i in range(round((TAMANHO_POP)/2)):\n",
    "            pai1 = 0\n",
    "            pai2 = 0\n",
    "            while pai1 == pai2:\n",
    "                pai1 = selecao(fit)\n",
    "                pai2 = selecao(fit)\n",
    "            if random() < TAXA_CRUZAMENTO:\n",
    "                filho1, filho2 = cruzamento(pop[pai1, :], pop[pai2, :])\n",
    "                filho1 = mutacao(filho1, horizonte)\n",
    "                filho2 = mutacao(filho2, horizonte)\n",
    "                new_pop = np.vstack([new_pop, filho1, filho2])\n",
    "            else:\n",
    "                pais = np.vstack([mutacao(pop[pai1, :], horizonte), mutacao(pop[pai2, :], horizonte)])\n",
    "                new_pop = np.vstack([new_pop, pais])\n",
    "                \n",
    "        fo = calcular_func(pop, Ut, Uf, h, tempo, TAMANHO_POP, lbda)\n",
    "        fit = fitness(fo)\n",
    "        min_fo = min(fo)\n",
    "        melhor_fo[geracao] = min_fo\n",
    "        pos_min_fo = np.where(fo == min_fo)\n",
    "                \n",
    "    return pop[pos_min_fo,:][0,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "25912f07-5ea9-471e-83a5-2b92044ec127",
   "metadata": {},
   "outputs": [],
   "source": [
    "def leis_controle(fx, fy, fz, quant_pontos, lbda):\n",
    "    ts = np.linspace(0, 0.1, quant_pontos)\n",
    "\n",
    "    plt.ylabel(\"Valores das leis de controle\") \n",
    "    plt.xlabel('Tempo (u. a.)') \n",
    "    plt.plot(ts, fx, color='g', marker='o', linewidth=1, markersize=1, label=\"$f_x(t)$\")\n",
    "    plt.plot(ts, fy, color='b', marker='_', linewidth=1, markersize=1, label=\"$f_y(t)$\")\n",
    "    plt.plot(ts, fz, color='r', marker='.', linewidth=1, markersize=1, label=\"$f_z(t)$\")\n",
    "    plt.legend(loc=\"upper right\")\n",
    "    plt.title(fr\"Leis de controle para $\\gamma = {lbda}$\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "25a8f695-a131-41ef-b17c-88da84c48ade",
   "metadata": {},
   "outputs": [],
   "source": [
    "def fidelidade(fid, quant_pontos, lbda):\n",
    "    ts = np.linspace(0, 0.1, quant_pontos)\n",
    "\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    ax.set_ylabel(\"Valores de fidelidade\") \n",
    "    ax.set_xlabel('Tempo (u. a.)') \n",
    "    ax.plot(ts, np.abs(fid), color='g', marker='*', linewidth=1, markersize=1, label=fr\"$\\gamma = {lbda}$\")\n",
    "    ax.legend(loc=\"center right\")\n",
    "    ax.set_title(fr\"Fidelidade com $\\gamma = {lbda}$\")\n",
    "\n",
    "    x1, x2, y1, y2 = 2.5, 4, 0, max(np.abs(fid))\n",
    "    axins = inset_axes(ax, width=\"30%\", height=\"30%\", loc='upper center', borderpad=3)\n",
    "    axins.set_xlim(0.009, 0.020)\n",
    "    axins.set_ylim(0.98, 1)\n",
    "\n",
    "    axins.plot(ts, np.abs(fid), color='g', marker='*', linewidth=1, markersize=1, label=fr\"$\\gamma = {lbda}$\")\n",
    "    ax.indicate_inset_zoom(axins)\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "fb93a47b-e5ed-4861-9d8c-b571f12c0317",
   "metadata": {},
   "outputs": [],
   "source": [
    "def distance(fid, quant_pontos, lbda):\n",
    "    ts = np.linspace(0, 0.1, quant_pontos)\n",
    "\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    ax.set_ylabel(\"Valores de distância\") \n",
    "    ax.set_xlabel('Tempo (u. a.)') \n",
    "    ax.plot(ts, np.abs(fid), color='g', marker='*', linewidth=1, markersize=1, label=fr\"$\\gamma = {lbda}$\")\n",
    "    ax.legend(loc=\"center right\")\n",
    "    ax.set_title(fr\"Distância entre os operadores de evolução com $\\gamma = {lbda}$\")\n",
    "\n",
    "    #x1, x2, y1, y2 = 2.5, 4, 0, max(np.abs(fid))\n",
    "    #axins = inset_axes(ax, width=\"30%\", height=\"30%\", loc='upper center', borderpad=3)\n",
    "    #axins.set_xlim(0.009, 0.020)\n",
    "    #axins.set_ylim(0.98, 1)\n",
    "\n",
    "    #axins.plot(ts, np.abs(fid), color='g', marker='*', linewidth=1, markersize=1, label=fr\"$\\gamma = {lbda}$\")\n",
    "    #ax.indicate_inset_zoom(axins)\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "88260532-c848-4882-87e3-c2924a219ff0",
   "metadata": {},
   "outputs": [],
   "source": [
    "def densidade(rho, quant_pontos, lbda):\n",
    "    ts = np.linspace(0, 0.1, quant_pontos)\n",
    "\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    ax.set_ylabel('Valores da matriz de densidade') \n",
    "    ax.set_xlabel('Tempo (u. a.)') \n",
    "    ax.plot(ts, abs(rho[0]), color='g', marker='o', linewidth=1, markersize=1, label=r\"$\\rho_{00}$\")\n",
    "    ax.plot(ts, abs(rho[1]), color='b', marker='8', linewidth=1, markersize=1, label=r\"$\\rho_{01}$\")\n",
    "    ax.plot(ts, abs(rho[2]), color='r', marker='.', linewidth=1, markersize=1, label=r\"$\\rho_{10}$\")\n",
    "    ax.plot(ts, abs(rho[3]), color='y', marker='*', linewidth=1, markersize=1, label=r\"$\\rho_{11}$\")\n",
    "    ax.legend(loc=\"center right\")\n",
    "    ax.set_title(fr\"Evolução da matriz de densidade $\\gamma = {lbda}$\")\n",
    "\n",
    "    x1, x2, y1, y2 = 2.5, 4, 0, max(max(abs(rho[0])), max(abs(rho[1])), max(abs(rho[2])), max(abs(rho[3])))\n",
    "    axins = inset_axes(ax, width=\"30%\", height=\"30%\", loc='upper center', borderpad=3)\n",
    "    axins.set_xlim(0.009, 0.020)\n",
    "    axins.set_ylim(0.98, 1)\n",
    "\n",
    "    axins.plot(ts, abs(rho[0]), color='g', marker='o', linewidth=1, markersize=1, label=r\"$\\rho_{00}$\")\n",
    "    axins.plot(ts, abs(rho[1]), color='b', marker='8', linewidth=1, markersize=1, label=r\"$\\rho_{01}$\")\n",
    "    axins.plot(ts, abs(rho[2]), color='r', marker='.', linewidth=1, markersize=1, label=r\"$\\rho_{10}$\")\n",
    "    axins.plot(ts, abs(rho[3]), color='y', marker='*', linewidth=1, markersize=1, label=r\"$\\rho_{11}$\")\n",
    "\n",
    "    ax.indicate_inset_zoom(axins)\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "29ff5391-7eea-4c95-936e-2a4220591a25",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def main():\n",
    "    aas = []\n",
    "    u = [70, 106, 66, 0.35, 0.31, 0.34] # Hadamard\n",
    "    \n",
    "    Ut = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]\n",
    "    Uf = [[0, 0, 1], [0, -1, 0], [1, 0, 0]] # Hadamard\n",
    "    \n",
    "    r0 = [[1], [0], [0]]\n",
    "    rf = np.dot(Uf, r0)\n",
    "    pf = [[1/2*(1+rf[2][0]), 1/2*(rf[0][0]-1j*rf[1][0])], [1/2*(rf[0][0]+1j*rf[1][0]), 1/2*(1-rf[2][0])]]\n",
    "    \n",
    "    h=0.001\n",
    "    t=0\n",
    "    i=0\n",
    "    lbda=0.01\n",
    "    # Proposta do algoritmo genético\n",
    "    resultado_algoritmo_genetico = genetico(Ut, Uf, h, t, TAMANHO_POP, lbda) \n",
    "    u[0] = resultado_algoritmo_genetico[0]\n",
    "    u[1] = resultado_algoritmo_genetico[1]\n",
    "    u[2] = resultado_algoritmo_genetico[2]\n",
    "    aas.append((u[0],u[1],u[2]))\n",
    "    distance_vector = []\n",
    "    fx_vector = []\n",
    "    fy_vector = []\n",
    "    fz_vector = []\n",
    "    rho_vector = np.zeros((4,100),dtype=np.complex128)\n",
    "    fid_vector = []\n",
    "    fid_autores = []\n",
    "       \n",
    "    while t < 100:\n",
    "        a,b,c,Uto = rungeKutta(u, Ut, Uf, h, t, lbda)\n",
    "        D = np.linalg.norm(Uto-Uf)**2\n",
    "        #print(f\"Uf: {Uf}\")\n",
    "        #print(f\"Uto: {Uto}\")\n",
    "        #print(f\"Valores de u: {u}\")\n",
    "        distance_vector.append(D)\n",
    "        fx_vector.append(a)\n",
    "        fy_vector.append(b)\n",
    "        fz_vector.append(c)\n",
    "        rt = np.dot(Uto, r0)\n",
    "        pt = [[1/2*(1+rt[2][0]), 1/2*(rt[0][0]-1j*rt[1][0])], [1/2*(rt[0][0]+1j*rt[1][0]), 1/2*(1-rt[2][0])]]\n",
    "        rho_vector[0][t] = pt[0][0]\n",
    "        rho_vector[1][t] = pt[0][1]\n",
    "        rho_vector[2][t] = pt[1][0]\n",
    "        rho_vector[3][t] = pt[1][1]\n",
    "        fid_vector.append((np.trace(sqrtm(sqrtm(pt) @ pf @ sqrtm(pt))))**2)\n",
    "        fid_autores.append((np.trace(np.dot(Uto, np.transpose(Uto)))+np.abs(np.trace(np.dot(np.transpose(Uf), Uto)))**2)/(3*(3+1)))\n",
    "        if fid_autores[-1] < 0.9995:\n",
    "            tempo_de_parada = t\n",
    "            resultado_algoritmo_genetico = genetico(Uto, Uf, h, t, TAMANHO_POP, lbda) \n",
    "            u[0] = resultado_algoritmo_genetico[0]\n",
    "            u[1] = resultado_algoritmo_genetico[1]\n",
    "            u[2] = resultado_algoritmo_genetico[2]\n",
    "            aas.append((u[0],u[1],u[2]))\n",
    "            #print(f\"Tempo: {t}\")\n",
    "            Ut = Uto\n",
    "        if fid_autores[-1] > 1:\n",
    "            #print(f\"Precisão anterior: {fid_autores[-2]} ou estado: {fid_vector[-2]}\")\n",
    "            #print(f\"Tempo: {t} com precisão de porta: {fid_autores[-1]}, com precisão de estado: {fid_vector[-1]}\")\n",
    "            distance_vector.pop()\n",
    "            fx_vector.pop()\n",
    "            fy_vector.pop()\n",
    "            fz_vector.pop()\n",
    "            fid_vector.pop()\n",
    "            fid_autores.pop()\n",
    "            resultado_algoritmo_genetico = genetico(Uto, Uf, h, t, TAMANHO_POP, lbda) \n",
    "            u[0] = resultado_algoritmo_genetico[0]\n",
    "            u[1] = resultado_algoritmo_genetico[1]\n",
    "            u[2] = resultado_algoritmo_genetico[2]\n",
    "            t -= 1\n",
    "        t += 1\n",
    "\n",
    "    tempo_de_parada += 1\n",
    "    print(f\"Tempo de parada: {tempo_de_parada}\")\n",
    "    print(f\"O rho gerado foi: {pt}\")\n",
    "    rt = np.dot(Ut, r0)\n",
    "    pt = [[1/2*(1+rt[2][0]), 1/2*(rt[0][0]-1j*rt[1][0])], [1/2*(rt[0][0]+1j*rt[1][0]), 1/2*(1-rt[2][0])]]\n",
    "    \n",
    "    #leis_controle(fx_vector,fy_vector,fz_vector,t,lbda)\n",
    "    #densidade(rho_vector,t,lbda)\n",
    "    #fidelidade(fid_vector,t,lbda)\n",
    "    #fidelidade(fid_autores,t,lbda)\n",
    "    #distance(distance_vector,t,lbda)\n",
    "\n",
    "    return fid_vector, fid_autores, rho_vector, distance_vector, fx_vector, fy_vector, fz_vector, aas, tempo_de_parada"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "f824cb32-2be4-4fa3-a3aa-e2c0e08c8b51",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def histograma(componente, valores_as):\n",
    "\n",
    "    valores = []\n",
    "    # Extração dos valores para o componente escolhido\n",
    "    valores_intermediarios = [sublista for sublista in a]\n",
    "    for i in valores_intermediarios:\n",
    "        valores.append(i[componente])\n",
    "    \n",
    "    # Criação do histograma\n",
    "    plt.hist(valores, bins=10, edgecolor='black')\n",
    "    plt.xlabel(f'Componente {[\"x\", \"y\", \"z\"][componente]}')\n",
    "    plt.ylabel('Frequência')\n",
    "    plt.title(f'Histograma do Componente {[\"x\", \"y\", \"z\"][componente]}')\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "1d3654f4-9113-4980-9336-4c6dc01cb6bb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tempo: 1\n",
      "Começará a função principal\n",
      "Tempo de parada: 42\n",
      "O rho gerado foi: [[np.float64(1.0012417701568408), np.complex128(-0.006714736797446054-0.014438406587739643j)], [np.complex128(-0.006714736797446054+0.014438406587739643j), np.float64(-0.0012417701568406825)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.50014745196568782056-2.5315516536070263638e-05j'), np.clongdouble('0.50031650216376369393-9.1768097032378840795e-06j'), np.clongdouble('0.50064956662379671754+1.4874946468664788227e-05j'), np.clongdouble('0.5005204745360583889+0.00014469279898671574668j'), np.clongdouble('0.50099202221584341623+9.0443482758799918835e-06j'), np.clongdouble('0.4853900583732331025-3.4898118430537500325e-05j'), np.clongdouble('0.48599852715660090527-5.787653095115376501e-06j'), np.clongdouble('0.48613219312033245558+0.00014431201289034574846j'), np.clongdouble('0.48625592670062352905-0.00021122098498018558377j'), np.clongdouble('0.48635065686716820913+3.6051466818158207895e-05j'), np.clongdouble('0.36854852716502699612+0.00014941912117293628541j'), np.clongdouble('0.53086459871017309224-0.0002014385941611672719j'), np.clongdouble('0.5327204913315522792+0.00014259871420232974533j'), np.clongdouble('0.53291038805076780045-5.1232966841332159055e-05j'), 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np.clongdouble('0.96157865445009320604-3.7574991903609458384e-05j'), np.clongdouble('0.9616630078104840786-2.4926661666126878915e-05j'), np.clongdouble('0.9954040570704238804-2.178236735855265767e-05j'), np.clongdouble('0.99850999261269650717+4.254096582832285761e-05j'), np.clongdouble('0.99899075528397176957+7.661729865940551797e-06j'), np.clongdouble('1.00037493293184152+1.3459654712937556828e-06j'), np.clongdouble('1.0006400791249901844+2.7735098438071701024e-05j'), np.clongdouble('1.0006285338953340181-5.2203090164225922236e-06j'), np.clongdouble('1.000800090946734108+3.8190700664480180325e-06j'), np.clongdouble('1.0007676197346866101-2.200797416122008245e-05j'), np.clongdouble('1.0010246509562611145-4.6270816000113427976e-06j'), np.clongdouble('1.0010203179742680674-1.0416845295601271433e-05j'), np.clongdouble('1.0009995902161415851-1.33820999350660984486e-05j'), np.clongdouble('1.0010087922818521304+6.465450331088044854e-06j'), 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np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j'), np.clongdouble('1.0012445584868735483+1.8890685150637608095e-05j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.32839890166849006), np.float64(0.32839392969063325), np.float64(0.3283329712055805), np.float64(0.3283203945820991), np.float64(0.3282607953038095), np.float64(0.32819329509957745), np.float64(0.32814408722031563), np.float64(0.32814200407530003), np.float64(0.30306675202030636), np.float64(0.2827657337847751), np.float64(0.2695448041115759), np.float64(0.24999531981405776), np.float64(0.25000081264248325), np.float64(0.26561668561129276), np.float64(0.3374928112005679), np.float64(0.3598684447822809), np.float64(0.3598815768681148), np.float64(0.36006531152475524), np.float64(0.3600637007734366), np.float64(0.43619746849681), np.float64(0.4705800364337906), np.float64(0.6633848869512488), np.float64(0.6635375837662607), np.float64(0.7123912643866991), np.float64(0.8947416438659607), np.float64(0.9013600012700979), np.float64(0.9013428822785873), np.float64(0.9013421146346352), np.float64(0.9014078270664653), np.float64(0.9057045910057493), np.float64(0.9691487275932532), np.float64(0.9748355302549273), np.float64(0.9758623261199911), np.float64(0.9783608752396118), np.float64(0.9788217914925129), np.float64(0.9898263298431166), np.float64(0.9901339736434885), np.float64(0.9901144847788593), np.float64(0.9906402576698699), np.float64(0.9906145188267019), np.float64(0.9990128292950401), np.float64(0.9989992663582036), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295), np.float64(0.999538613542295)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MMfl+1ouisJ/9Zs2aqWbNmnr11VeVnp6e73XHjx8v0vgPPvigli1bpmnTpikoKMh+fICCcGUGKESDBg3Upk0bNWvWTIGBgdq0aZM+//xzDRs2zN6nWbNmkqQRI0YoOjparq6u6tu3r7p06aK2bdvqP//5j/bv36+mTZtq2bJlWrRokZ588kn7v16bNWumnj17atq0aTp58qT9o9m//fabpML/9ft3vr6+at26tSZNmqTs7GzddNNNWrZsmZKSkkr9mNx7771asGCBunfvrs6dOyspKUkzZ85UgwYNCvyL6+8qVqyoMWPGKC4uTvfee686deqkrVu3avHixfnm6vz73//W3LlzFRMToxEjRigwMFCzZ89WUlKSvvjiC7m4XPrfYVOmTNG+ffs0YsQILViwQPfee68CAgKUnJys+fPn69dff1Xfvn0lSRMnTtTy5cvVsmVLPf744ypXrpzeeecdZWZmOjxbpbTUqlVLLVu21GOPPabMzEz7X9ZPP/20vc/kyZMVExOjyMhIDRkyxP7RbD8/vxJ9fUbNmjU1ceJEjR07Vvv371e3bt3k4+OjpKQkLVy4UEOHDtWYMWOKPaa/v79mzpwpHx8fVahQQS1atFD16tX13nvvKSYmRg0bNtTgwYN100036eDBg1q9erV8fX311VdfXXb8+++/X08//bQWLlyoxx57LN+8HsCBMz5CBVxteR+j/emnnwrcfvfdd1/2o9kTJ040zZs3N/7+/sbT09PUq1fPvPjiiyYrK8ve58KFC2b48OGmYsWKxmazOXxMOy0tzYwcOdKEhYUZNzc3U7t2bTN58mSHj6saY0xGRoaJjY01gYGBxtvb23Tr1s0kJiYaSQ4flc77GO7x48fzvZ8DBw6Y7t27G39/f+Pn52d69eplDh06VOjHuy8eY+DAgaZChQqXPU65ubnmpZdeMlWrVjUeHh7mlltuMV9//bUZOHCgqVq1aoHH+u9ycnLMhAkTTOXKlY2np6dp06aN2blzZ75jb4wx+/btM//4xz+Mv7+/KV++vGnevLn5+uuvL7uPPBcuXDDvvfeeadWqlfHz8zNubm6matWqZvDgwfk+tr1lyxYTHR1tvL29jZeXl2nbtq358ccfHfoU9jNV1GOa99HsyZMnmylTppjw8HDj4eFhWrVqZX7++ed89a9YscLcddddxtPT0/j6+pouXbqYX375pUj7zqs1KSnJof2LL74wLVu2NBUqVDAVKlQw9erVM7GxsSYxMdHep6A/G3nv5+JzvGjRItOgQQNTrly5fB/T3rp1q+nRo4cJCgoyHh4epmrVqqZ3795m5cqV+cYuTKdOnYykfOcCuJjNmGs0Qw1AkW3btk233HKLPv74Yx4Sdp3Yv3+/qlevrsmTJxf7KsiNqnv37tqxY0ex5pDhxsScGcDJ/vzzz3xt06ZNk4uLi/3Ju8CN5vDhw/rmm2+K/CRn3NiYMwM42aRJk7R582a1bdtW5cqV0+LFi7V48WINHTq01D9JA5R1SUlJ+uGHH/Tee+/Jzc1N//znP51dEiyAMAM42Z133qnly5frhRdeUHp6uiIiIjR+/Hj95z//cXZpwDWXkJCgwYMHKyIiQrNnz1ZoaKizS4IFMGcGAABYGnNmAACApRFmAACApV33c2Zyc3N16NAh+fj4FOkBZAAAwPmMMUpLS1NYWNhlH5R53YeZQ4cO8YkQAAAsKiUlRVWqVLlkn+s+zOR9yV9KSkqpf8cKAAC4OlJTUxUeHu7wZb2Fue7DTN6tJV9fX8IMAAAWU5QpIk6dADxjxgw1adLEHjQiIyO1ePFi+/Y2bdrIZrM5LI8++qgTKwYAAGWNU6/MVKlSRS+//LJq164tY4xmz56trl27auvWrWrYsKEk6ZFHHtHzzz9vf42Xl5ezygUAAGWQU8NMly5dHNZffPFFzZgxQ+vXr7eHGS8vL54ACQAAClVmnjOTk5OjefPmKSMjQ5GRkfb2Tz75RMHBwWrUqJHGjh2rc+fOXXKczMxMpaamOiwAAOD65fQJwDt27FBkZKTOnz8vb29vLVy4UA0aNJAk3X///apatarCwsK0fft2/etf/1JiYqIWLFhQ6HhxcXGaMGHCtSofAAA4mdO/mykrK0vJyck6e/asPv/8c7333ntKSEiwB5q/W7Vqldq3b6+9e/eqZs2aBY6XmZmpzMxM+3reR7vOnj3Lp5kAALCI1NRU+fn5Fenvb6eHmYtFRUWpZs2aeuedd/Jty8jIkLe3t5YsWaLo6OgijVecgwEAAMqG4vz9XWbmzOTJzc11uLLyd9u2bZMkVa5c+RpWBAAAyjKnzpkZO3asYmJiFBERobS0NM2ZM0dr1qzR0qVLtW/fPs2ZM0edOnVSUFCQtm/frpEjR6p169Zq0qSJM8sGAABliFPDzLFjxzRgwAAdPnxYfn5+atKkiZYuXaoOHTooJSVFK1as0LRp05SRkaHw8HD17NlTzzzzjDNLBgAAZUyZmzNT2pgzAwCA9Vh6zgwAAEBxEGYAAIClEWYAAIClOf0JwFaXnJysEydOOLuMYgkODlZERISzywAAoFQQZq5AcnKy6tarr/N/Xvr7osqa8p5eSvx1N4EGAHBdIMxcgRMnTuj8n+cUdO9ouQWFO7ucIsk+maKTX0/RiRMnCDMAgOsCYaYUuAWFyyO0lrPLAADghsQEYAAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGmEGQAAYGlODTMzZsxQkyZN5OvrK19fX0VGRmrx4sX27efPn1dsbKyCgoLk7e2tnj176ujRo06sGAAAlDVODTNVqlTRyy+/rM2bN2vTpk1q166dunbtql27dkmSRo4cqa+++krz589XQkKCDh06pB49ejizZAAAUMaUc+bOu3Tp4rD+4osvasaMGVq/fr2qVKmi999/X3PmzFG7du0kSfHx8apfv77Wr1+vO+64wxklAwCAMqbMzJnJycnRvHnzlJGRocjISG3evFnZ2dmKioqy96lXr54iIiK0bt26QsfJzMxUamqqwwIAAK5fTg8zO3bskLe3tzw8PPToo49q4cKFatCggY4cOSJ3d3f5+/s79K9UqZKOHDlS6HhxcXHy8/OzL+Hh4Vf5HQAAAGdyepipW7eutm3bpg0bNuixxx7TwIED9csvv5R4vLFjx+rs2bP2JSUlpRSrBQAAZY1T58xIkru7u2rVqiVJatasmX766Se9/vrr6tOnj7KysnTmzBmHqzNHjx5VaGhooeN5eHjIw8PjapcNAADKCKdfmblYbm6uMjMz1axZM7m5uWnlypX2bYmJiUpOTlZkZKQTKwQAAGWJU6/MjB07VjExMYqIiFBaWprmzJmjNWvWaOnSpfLz89OQIUM0atQoBQYGytfXV8OHD1dkZCSfZAIAAHZODTPHjh3TgAEDdPjwYfn5+alJkyZaunSpOnToIEmaOnWqXFxc1LNnT2VmZio6Olpvv/22M0sGAABljFPDzPvvv3/J7eXLl9f06dM1ffr0a1QRAACwmjI3ZwYAAKA4CDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSnBpm4uLidPvtt8vHx0chISHq1q2bEhMTHfq0adNGNpvNYXn00UedVDEAAChrnBpmEhISFBsbq/Xr12v58uXKzs7WPffco4yMDId+jzzyiA4fPmxfJk2a5KSKAQBAWVPOmTtfsmSJw/qsWbMUEhKizZs3q3Xr1vZ2Ly8vhYaGXuvyAACABZSpOTNnz56VJAUGBjq0f/LJJwoODlajRo00duxYnTt3rtAxMjMzlZqa6rAAAIDrl1OvzPxdbm6unnzySd11111q1KiRvf3+++9X1apVFRYWpu3bt+tf//qXEhMTtWDBggLHiYuL04QJE65V2QAAwMnKTJiJjY3Vzp079f333zu0Dx061P7/jRs3VuXKldW+fXvt27dPNWvWzDfO2LFjNWrUKPt6amqqwsPDr17hAADAqcpEmBk2bJi+/vprrV27VlWqVLlk3xYtWkiS9u7dW2CY8fDwkIeHx1WpEwAAlD1ODTPGGA0fPlwLFy7UmjVrVL169cu+Ztu2bZKkypUrX+XqAACAFTg1zMTGxmrOnDlatGiRfHx8dOTIEUmSn5+fPD09tW/fPs2ZM0edOnVSUFCQtm/frpEjR6p169Zq0qSJM0sHAABlhFPDzIwZMyT99WC8v4uPj9egQYPk7u6uFStWaNq0acrIyFB4eLh69uypZ555xgnVAgCAssjpt5kuJTw8XAkJCdeoGgAAYEVl6jkzAAAAxUWYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAlkaYAQAAllbuSl68adMmffbZZ0pOTlZWVpbDtgULFlxRYQAAAEVR4isz8+bN05133qndu3dr4cKFys7O1q5du7Rq1Sr5+fmVZo0AAACFKnGYeemllzR16lR99dVXcnd31+uvv65ff/1VvXv3VkRERGnWCAAAUKgSh5l9+/apc+fOkiR3d3dlZGTIZrNp5MiRevfdd0utQAAAgEspcZgJCAhQWlqaJOmmm27Szp07JUlnzpzRuXPnSqc6AACAyyjxBODWrVtr+fLlaty4sXr16qUnnnhCq1at0vLly9W+ffvSrBEAAKBQJQ4zb731ls6fPy9J+s9//iM3Nzf9+OOP6tmzp5555plSKxAAAOBSSnybKTAwUGFhYX8N4uKif//73/rvf/+rKVOmKCAgoEhjxMXF6fbbb5ePj49CQkLUrVs3JSYmOvQ5f/68YmNjFRQUJG9vb/Xs2VNHjx4tadkAAOA6U6wwk5qa6vD/l1qKIiEhQbGxsVq/fr2WL1+u7Oxs3XPPPcrIyLD3GTlypL766ivNnz9fCQkJOnTokHr06FGcsgEAwHWsWLeZAgICdPjwYYWEhMjf3182my1fH2OMbDabcnJyLjvekiVLHNZnzZqlkJAQbd68Wa1bt9bZs2f1/vvva86cOWrXrp0kKT4+XvXr19f69et1xx13FKd8AABwHSpWmFm1apUCAwMlSatXry71Ys6ePStJ9n1s3rxZ2dnZioqKsvepV6+eIiIitG7dOsIMAAAoXpi5++67C/z/0pCbm6snn3xSd911lxo1aiRJOnLkiNzd3eXv7+/Qt1KlSjpy5EiB42RmZiozM9O+XtRbXgAAwJpKPAE4Pj5e8+fPz9c+f/58zZ49u9jjxcbGaufOnZo3b15JS5L016RiPz8/+xIeHn5F4wEAgLKtxGEmLi5OwcHB+dpDQkL00ksvFWusYcOG6euvv9bq1atVpUoVe3toaKiysrJ05swZh/5Hjx5VaGhogWONHTtWZ8+etS8pKSnFqgUAAFhLicNMcnKyqlevnq+9atWqSk5OLtIYxhgNGzZMCxcu1KpVq/KN16xZM7m5uWnlypX2tsTERCUnJysyMrLAMT08POTr6+uwAACA61eJH5oXEhKi7du3q1q1ag7tP//8s4KCgoo0RmxsrObMmaNFixbJx8fHPg/Gz89Pnp6e8vPz05AhQzRq1CgFBgbK19dXw4cPV2RkJJN/AQCApCsIM/369dOIESPk4+Oj1q1bS/rruTFPPPGE+vbtW6QxZsyYIUlq06aNQ3t8fLwGDRokSZo6dapcXFzUs2dPZWZmKjo6Wm+//XZJywYAANeZEoeZF154Qfv371f79u1Vrtxfw+Tm5mrAgAFFnjNjjLlsn/Lly2v69OmaPn16SUsFAADXsRKHGXd3d3366ad64YUX9PPPP8vT01ONGzdW1apVS7M+AACASypxmMlTp04d1alTpzRqAQAAKLYSh5mcnBzNmjVLK1eu1LFjx5Sbm+uwfdWqVVdcHAAAwOWUOMw88cQTmjVrljp37qxGjRoV+D1NAAAAV1uJw8y8efP02WefqVOnTqVZDwAAQLGU+KF57u7uqlWrVmnWAgAAUGwlDjOjR4/W66+/XqSPVwMAAFwtJb7N9P3332v16tVavHixGjZsKDc3N4ftCxYsuOLiAAAALqfEYcbf31/du3cvzVoAAACKrcRhJj4+vjTrAAAAKJESz5mRpAsXLmjFihV65513lJaWJkk6dOiQ0tPTS6U4AACAyyn2lZnc3Fy5uLjojz/+UMeOHZWcnKzMzEx16NBBPj4+euWVV5SZmamZM2dejXoBAAAcFOvKzI4dO+zfkP3EE0/otttu0+nTp+Xp6Wnv0717d61cubJ0qwQAAChEka/MfP7553r++ef18ccfS5K+++47/fjjj3J3d3foV61aNR08eLB0qwQAAChEka/M5ObmKicnx/61BXnrFztw4IB8fHxKr0IAAIBLKHKY6d27tz766CMNHTpUktShQwdNmzbNvt1msyk9PV3jxo3jKw4AAMA1U6wJwLfeequ+++47SdJrr72m6OhoNWjQQOfPn9f999+vPXv2KDg4WHPnzr0qxQIAAFys2J9mKlfur5dUqVJFP//8s+bNm6ft27crPT1dQ4YMUf/+/R0mBAMAAFxNJX5onvRXsHnggQdKqxYAAIBiK3GY+fDDDy+5fcCAASUdGgAAoMhKHGaeeOIJh/Xs7GydO3dO7u7u8vLyIswAAIBrosRfZ3D69GmHJT09XYmJiWrZsiUTgAEAwDVzRd/NdLHatWvr5ZdfznfVBgAA4Gop1TAj/TUp+NChQ6U9LAAAQIFKPGfmv//9r8O6MUaHDx/WW2+9pbvuuuuKCwMAACiKEoeZbt26OazbbDZVrFhR7dq105QpU660LgAAgCIpcZjJzc0tzToAAABKpNTnzAAAAFxLJb4yM2rUqCL3fe2110q6GwAAgEsqcZjZunWrtm7dquzsbNWtW1eS9Ntvv8nV1VW33nqrvZ/NZrvyKgEAAApR4jDTpUsX+fj4aPbs2QoICJD014P0Bg8erFatWmn06NGlViQAAEBhSjxnZsqUKYqLi7MHGUkKCAjQxIkT+TQTAAC4ZkocZlJTU3X8+PF87cePH1daWtoVFQUAAFBUJQ4z3bt31+DBg7VgwQIdOHBABw4c0BdffKEhQ4aoR48epVkjAABAoUo8Z2bmzJkaM2aM7r//fmVnZ/81WLlyGjJkiCZPnlxqBQIAAFxKicOMl5eX3n77bU2ePFn79u2TJNWsWVMVKlQoteIAAAAu54ofmnf48GEdPnxYtWvXVoUKFWSMKY26AAAAiqTEYebkyZNq37696tSpo06dOunw4cOSpCFDhvCxbAAAcM2UOMyMHDlSbm5uSk5OlpeXl729T58+WrJkSakUBwAAcDklnjOzbNkyLV26VFWqVHFor127tv74448rLgwAAKAoSnxlJiMjw+GKTJ5Tp07Jw8PjiooCAAAoqhKHmVatWunDDz+0r9tsNuXm5mrSpElq27ZtkcdZu3atunTporCwMNlsNn355ZcO2wcNGiSbzeawdOzYsaRlAwCA60yJbzNNmjRJ7du316ZNm5SVlaWnn35au3bt0qlTp/TDDz8UeZyMjAw1bdpUDz30UKEP2+vYsaPi4+Pt61z5AQAAeUocZho1aqTffvtNb731lnx8fJSenq4ePXooNjZWlStXLvI4MTExiomJuWQfDw8PhYaGlrRUAABwHStRmMnOzlbHjh01c+ZM/ec//yntmvJZs2aNQkJCFBAQoHbt2mnixIkKCgoqsG9mZqYyMzPt66mpqVe9PgAA4DwlmjPj5uam7du3l3YtBerYsaM+/PBDrVy5Uq+88ooSEhIUExOjnJycAvvHxcXJz8/PvoSHh1+TOgEAgHOUeALwAw88oPfff780aylQ3759dd9996lx48bq1q2bvv76a/30009as2ZNgf3Hjh2rs2fP2peUlJSrXiMAAHCeEs+ZuXDhgj744AOtWLFCzZo1y/edTK+99toVF1eQGjVqKDg4WHv37lX79u3zbffw8GCCMAAAN5Bih5nff/9d1apV086dO3XrrbdKkn777TeHPjabrXSqK8CBAwd08uTJYk0yBgAA169ih5natWvr8OHDWr16taS/vr7gjTfeUKVKlUpUQHp6uvbu3WtfT0pK0rZt2xQYGKjAwEBNmDBBPXv2VGhoqPbt26enn35atWrVUnR0dIn2BwAAri/FDjMXfyv24sWLlZGRUeICNm3a5PCQvVGjRkmSBg4cqBkzZmj79u2aPXu2zpw5o7CwMN1zzz164YUXuJUEAAAkXcGcmTwXh5viatOmzSXHWLp06RWNDwAArm/F/jRT3lcKXNwGAADgDCW6zTRo0CD7bZ7z58/r0UcfzfdppgULFpROhQAAAJdQ7DAzcOBAh/UHHnig1IoBAAAormKHmb9/4SMAAICzlfgJwAAAAGUBYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFia08PM2rVr1aVLF4WFhclms+nLL7902G6M0XPPPafKlSvL09NTUVFR2rNnj3OKBQAAZY7Tw0xGRoaaNm2q6dOnF7h90qRJeuONNzRz5kxt2LBBFSpUUHR0tM6fP3+NKwUAAGVROWcXEBMTo5iYmAK3GWM0bdo0PfPMM+ratask6cMPP1SlSpX05Zdfqm/fvteyVAAAUAY5/crMpSQlJenIkSOKioqyt/n5+alFixZat25dga/JzMxUamqqwwIAAK5fZTrMHDlyRJJUqVIlh/ZKlSrZt10sLi5Ofn5+9iU8PPyq1wkAAJynTIeZkhg7dqzOnj1rX1JSUpxdEgAAuIrKdJgJDQ2VJB09etSh/ejRo/ZtF/Pw8JCvr6/DAgAArl9lOsxUr15doaGhWrlypb0tNTVVGzZsUGRkpBMrAwAAZYXTP82Unp6uvXv32teTkpK0bds2BQYGKiIiQk8++aQmTpyo2rVrq3r16nr22WcVFhambt26Oa9oAABQZjg9zGzatElt27a1r48aNUqSNHDgQM2aNUtPP/20MjIyNHToUJ05c0YtW7bUkiVLVL58eWeVDAAAyhCnh5k2bdrIGFPodpvNpueff17PP//8NawKAABYRZmeMwMAAHA5hBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBpZT7MjB8/XjabzWGpV6+es8sCAABlRDlnF1AUDRs21IoVK+zr5cpZomwAAHANWCIVlCtXTqGhoc4uAwAAlEFl/jaTJO3Zs0dhYWGqUaOG+vfvr+Tk5EL7ZmZmKjU11WEBAADXrzIfZlq0aKFZs2ZpyZIlmjFjhpKSktSqVSulpaUV2D8uLk5+fn72JTw8/BpXDAAArqUyH2ZiYmLUq1cvNWnSRNHR0fr222915swZffbZZwX2Hzt2rM6ePWtfUlJSrnHFAADgWrLEnJm/8/f3V506dbR3794Ct3t4eMjDw+MaVwUAAJylzF+ZuVh6err27dunypUrO7sUAABQBpT5MDNmzBglJCRo//79+vHHH9W9e3e5urqqX79+zi4NAACUAWX+NtOBAwfUr18/nTx5UhUrVlTLli21fv16VaxY0dmlAQCAMqDMh5l58+Y5uwQAAFCGlfnbTAAAAJdCmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZWztkFACg7kpOTdeLECWeXUSyZmZny8PBwdhnFEhwcrIiICGeXAVw3CDMAJP0VZOrWq6/zf55zdinFY3ORTK6zqyiW8p5eSvx1N4EGKCWEGQCSpBMnTuj8n+cUdO9ouQWFO7ucIvnz9006+93Hlqo5+2SKTn49RSdOnCDMAKWEMAPAgVtQuDxCazm7jCLJPpkiyVo1Ayh9TAAGAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWxkezb1C7d+92dgnFYsWnvFqtZqv9TODas+IToq34tGWOc/ERZm4wOemnJZtNDzzwgLNLKR4LPuXVkjUDhbDqE6Kt9rRljnPJEGZuMLmZ6ZIxlnpiqhWf8mrlmoGCWPEJ0VZ82jLHuWQIMzcoKz0x1YpPebVyzcClWOln2so4zsXDBGAAAGBphBkAAGBphBkAAGBplgkz06dPV7Vq1VS+fHm1aNFCGzdudHZJAACgDLBEmPn00081atQojRs3Tlu2bFHTpk0VHR2tY8eOObs0AADgZJYIM6+99poeeeQRDR48WA0aNNDMmTPl5eWlDz74wNmlAQAAJyvzYSYrK0ubN29WVFSUvc3FxUVRUVFat26dEysDAABlQZl/zsyJEyeUk5OjSpUqObRXqlRJv/76a77+mZmZyszMtK+fPXtWkpSamlrqtaWnp/+1zyN7lZt1vtTHvxryniVCzVcXNV8blqz51AFJ0ubNm+2/Q6wgMTFREsf6arPycU5PTy/Vv2vzxjLGXL6zKeMOHjxoJJkff/zRof2pp54yzZs3z9d/3LhxRhILCwsLCwvLdbCkpKRcNiuU+SszwcHBcnV11dGjRx3ajx49qtDQ0Hz9x44dq1GjRtnXc3NzderUKQUFBclms5VqbampqQoPD1dKSop8fX1LdWyUDOekbOF8lD2ck7KHc1IwY4zS0tIUFhZ22b5lPsy4u7urWbNmWrlypbp16ybpr4CycuVKDRs2LF9/Dw+PfN9U7O/vf1Vr9PX15QewjOGclC2cj7KHc1L2cE7y8/PzK1K/Mh9mJGnUqFEaOHCgbrvtNjVv3lzTpk1TRkaGBg8e7OzSAACAk1kizPTp00fHjx/Xc889pyNHjujmm2/WkiVL8k0KBgAANx5LhBlJGjZsWIG3lZzJw8ND48aNy3dbC87DOSlbOB9lD+ek7OGcXDmbMUX5zBMAAEDZVOYfmgcAAHAphBkAAGBphBkAAGBphBkAAGBphJkSmj59uqpVq6by5curRYsW2rhxo7NLumGMHz9eNpvNYalXr559+/nz5xUbG6ugoCB5e3urZ8+e+Z4gjSuzdu1adenSRWFhYbLZbPryyy8dthtj9Nxzz6ly5cry9PRUVFSU9uzZ49Dn1KlT6t+/v3x9feXv768hQ4ZY5vtzyqLLnZNBgwbl+3PTsWNHhz6ck9ITFxen22+/XT4+PgoJCVG3bt3s37uUpyi/q5KTk9W5c2d5eXkpJCRETz31lC5cuHAt34olEGZK4NNPP9WoUaM0btw4bdmyRU2bNlV0dLSOHTvm7NJuGA0bNtThw4fty/fff2/fNnLkSH311VeaP3++EhISdOjQIfXo0cOJ1V5/MjIy1LRpU02fPr3A7ZMmTdIbb7yhmTNnasOGDapQoYKio6N1/vz/fXFe//79tWvXLi1fvlxff/211q5dq6FDh16rt3Ddudw5kaSOHTs6/LmZO3euw3bOSelJSEhQbGys1q9fr+XLlys7O1v33HOPMjIy7H0u97sqJydHnTt3VlZWln788UfNnj1bs2bN0nPPPeeMt1S2lcq3Qd5gmjdvbmJjY+3rOTk5JiwszMTFxTmxqhvHuHHjTNOmTQvcdubMGePm5mbmz59vb9u9e7eRZNatW3eNKryxSDILFy60r+fm5prQ0FAzefJke9uZM2eMh4eHmTt3rjHGmF9++cVIMj/99JO9z+LFi43NZjMHDx68ZrVfry4+J8YYM3DgQNO1a9dCX8M5ubqOHTtmJJmEhARjTNF+V3377bfGxcXFHDlyxN5nxowZxtfX12RmZl7bN1DGcWWmmLKysrR582ZFRUXZ21xcXBQVFaV169Y5sbIby549exQWFqYaNWqof//+Sk5OliRt3rxZ2dnZDuenXr16ioiI4PxcI0lJSTpy5IjDOfDz81OLFi3s52DdunXy9/fXbbfdZu8TFRUlFxcXbdiw4ZrXfKNYs2aNQkJCVLduXT322GM6efKkfRvn5Oo6e/asJCkwMFBS0X5XrVu3To0bN3Z42n10dLRSU1O1a9eua1h92UeYKaYTJ04oJycn31cpVKpUSUeOHHFSVTeWFi1aaNasWVqyZIlmzJihpKQktWrVSmlpaTpy5Ijc3d3zfbko5+fayTvOl/ozcuTIEYWEhDhsL1eunAIDAzlPV0nHjh314YcfauXKlXrllVeUkJCgmJgY5eTkSOKcXE25ubl68sknddddd6lRo0aSVKTfVUeOHCnwz1HeNvwfy3ydAZAnJibG/v9NmjRRixYtVLVqVX322Wfy9PR0YmVA2dW3b1/7/zdu3FhNmjRRzZo1tWbNGrVv396JlV3/YmNjtXPnToe5fShdXJkppuDgYLm6uuabcX706FGFhoY6qaobm7+/v+rUqaO9e/cqNDRUWVlZOnPmjEMfzs+1k3ecL/VnJDQ0NN+E+QsXLujUqVOcp2ukRo0aCg4O1t69eyVxTq6WYcOG6euvv9bq1atVpUoVe3tRfleFhoYW+Ocobxv+D2GmmNzd3dWsWTOtXLnS3pabm6uVK1cqMjLSiZXduNLT07Vv3z5VrlxZzZo1k5ubm8P5SUxMVHJyMufnGqlevbpCQ0MdzkFqaqo2bNhgPweRkZE6c+aMNm/ebO+zatUq5ebmqkWLFte85hvRgQMHdPLkSVWuXFkS56S0GWM0bNgwLVy4UKtWrVL16tUdthfld1VkZKR27NjhEDKXL18uX19fNWjQ4Nq8Eatw9gxkK5o3b57x8PAws2bNMr/88osZOnSo8ff3d5hxjqtn9OjRZs2aNSYpKcn88MMPJioqygQHB5tjx44ZY4x59NFHTUREhFm1apXZtGmTiYyMNJGRkU6u+vqSlpZmtm7darZu3Wokmddee81s3brV/PHHH8YYY15++WXj7+9vFi1aZLZv3266du1qqlevbv7880/7GB07djS33HKL2bBhg/n+++9N7dq1Tb9+/Zz1lizvUuckLS3NjBkzxqxbt84kJSWZFStWmFtvvdXUrl3bnD9/3j4G56T0PPbYY8bPz8+sWbPGHD582L6cO3fO3udyv6suXLhgGjVqZO655x6zbds2s2TJElOxYkUzduxYZ7ylMo0wU0JvvvmmiYiIMO7u7qZ58+Zm/fr1zi7phtGnTx9TuXJl4+7ubm666SbTp08fs3fvXvv2P//80zz++OMmICDAeHl5me7du5vDhw87seLrz+rVq42kfMvAgQONMX99PPvZZ581lSpVMh4eHqZ9+/YmMTHRYYyTJ0+afv36GW9vb+Pr62sGDx5s0tLSnPBurg+XOifnzp0z99xzj6lYsaJxc3MzVatWNY888ki+f4BxTkpPQedCkomPj7f3Kcrvqv3795uYmBjj6elpgoODzejRo012dvY1fjdln80YY6711SAAAIDSwpwZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZ4AZ35MgRDR8+XDVq1JCHh4fCw8PVpUsXh++MgTRo0CB169bN2WUAKEA5ZxcAwHn279+vu+66S/7+/po8ebIaN26s7OxsLV26VLGxsfr111+dXSIAXBZXZoAb2OOPPy6bzaaNGzeqZ8+eqlOnjho2bKhRo0Zp/fr19n7Jycnq2rWrvL295evrq969e+vo0aP27ePHj9fNN9+sDz74QBEREfL29tbjjz+unJwcTZo0SaGhoQoJCdGLL77osH+bzaYZM2YoJiZGnp6eqlGjhj7//HOHPjt27FC7du3k6empoKAgDR06VOnp6fbteVdMXn31VVWuXFlBQUGKjY1Vdna2vU9mZqbGjBmjm266SRUqVFCLFi20Zs0a+/ZZs2bJ399fS5cuVf369eXt7a2OHTvq8OHD9vc3e/ZsLVq0SDabTTabzf76lJQU9e7dW/7+/goMDFTXrl21f//+Ao+3MUa1atXSq6++6tC+bds22Ww27d279/InDUA+hBngBnXq1CktWbJEsbGxqlChQr7t/v7+kqTc3Fx17dpVp06dUkJCgpYvX67ff/9dffr0cei/b98+LV68WEuWLNHcuXP1/vvvq3Pnzjpw4IASEhL0yiuv6JlnntGGDRscXvfss8+qZ8+e+vnnn9W/f3/17dtXu3fvliRlZGQoOjpaAQEB+umnnzR//nytWLFCw4YNcxhj9erV2rdvn1avXq3Zs2dr1qxZmjVrln37sGHDtG7dOs2bN0/bt29Xr1691LFjR+3Zs8fe59y5c3r11Vf10Ucfae3atUpOTtaYMWMkSWPGjFHv3r3tAefw4cO68847lZ2drejoaPn4+Oi7777TDz/8YA9CWVlZ+Y6pzWbTQw89pPj4eIf2+Ph4tW7dWrVq1brMWQNQICd/0SUAJ9mwYYORZBYsWHDJfsuWLTOurq4mOTnZ3rZr1y4jyWzcuNEYY8y4ceOMl5eXSU1NtfeJjo421apVMzk5Ofa2unXrmri4OPu6JPPoo4867K9FixbmscceM8YY8+6775qAgACTnp5u3/7NN98YFxcX+zc+Dxw40FStWtVcuHDB3qdXr16mT58+xhhj/vjjD+Pq6moOHjzosJ/27dubsWPHGmOMiY+PN5Icvn19+vTpplKlSvb1gQMHmq5duzqM8dFHH5m6deua3Nxce1tmZqbx9PQ0S5cuzX8wjTEHDx40rq6uZsOGDcYYY7KyskxwcLCZNWtWgf0BXB5zZoAblDGmSP12796t8PBwhYeH29saNGggf39/7d69W7fffrskqVq1avLx8bH3qVSpklxdXeXi4uLQduzYMYfxIyMj861v27bNvu+mTZs6XDm66667lJubq8TERFWqVEmS1LBhQ7m6utr7VK5cWTt27JD0122qnJwc1alTx2E/mZmZCgoKsq97eXmpZs2aDmNcXOvFfv75Z+3du9fhfUvS+fPntW/fvgJfExYWps6dO+uDDz5Q8+bN9dVXXykzM1O9evW65L4AFI4wA9ygateuLZvNVmqTfN3c3BzWbTZbgW25ubmlsr/L7TtvP+np6XJ1ddXmzZsdAo8keXt7X3KMywW+9PR0NWvWTJ988km+bRUrViz0dQ8//LAefPBBTZ06VfHx8erTp4+8vLwuuS8AhWPODHCDCgwMVHR0tKZPn66MjIx828+cOSNJql+/vlJSUpSSkmLf9ssvv+jMmTNq0KDBFdfx94nGeev169e37/vnn392qO+HH36Qi4uL6tatW6Txb7nlFuXk5OjYsWOqVauWwxIaGlrkOt3d3ZWTk+PQduutt2rPnj0KCQnJN7afn1+hY3Xq1EkVKlTQjBkztGTJEj300ENFrgNAfoQZ4AY2ffp05eTkqHnz5vriiy+0Z88e7d69W2+88Yb99k9UVJQaN26s/v37a8uWLdq4caMGDBigu+++W7fddtsV1zB//nx98MEH+u233zRu3Dht3LjRPsG3f//+Kl++vAYOHKidO3dq9erVGj58uB588EH7LabLqVOnjvr3768BAwZowYIFSkpK0saNGxUXF6dvvvmmyHVWq1ZN27dvV2Jiok6cOKHs7Gz1799fwcHB6tq1q7777jslJSVpzZo1GjFihA4cOFDoWK6urho0aJDGjh2r2rVr57vVBqB4CDPADaxGjRrasmWL2rZtq9GjR6tRo0bq0KGDVq5cqRkzZkj663bLokWLFBAQoNatWysqKko1atTQp59+Wio1TJgwQfPmzVOTJk304Ycfau7cufYrPl5eXlq6dKlOnTql22+/Xf/4xz/Uvn17vfXWW8XaR3x8vAYMGKDRo0erbt266tatm3766SdFREQUeYxHHnlEdevW1W233aaKFSvqhx9+kJeXl9auXauIiAj16NFD9evX15AhQ3T+/Hn5+vpecrwhQ4YoKytLgwcPLtZ7AZCfzRR1FiAAlDKbzaaFCxfekE/W/e6779S+fXulpKQU+SoTgIIxARgArqHMzEwdP35c48ePV69evQgyQCngNhMAXENz585V1apVdebMGU2aNMnZ5QDXBW4zAQAAS+PKDAAAsDTCDAAAsDTCDAAAsDTCDAAAsDTCDAAAsDTCDAAAsDTCDAAAsDTCDAAAsDTCDAAAsLT/BwXI86IQ9UNxAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 1:\n",
      "Portas: 0.999538613542295\n",
      "Estados: (1.0012445584868737+1.8890685150637607e-05j)\n",
      "Distância: 0.01875468430260381\n",
      " \n",
      "Tempo: 2\n",
      "Começará a função principal\n",
      "Tempo de parada: 57\n",
      "O rho gerado foi: [[np.float64(1.0051454923472456), np.complex128(-0.00016700613716299375+0.0014973292773239023j)], [np.complex128(-0.00016700613716299375-0.0014973292773239023j), np.float64(-0.005145492347245595)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.39884694879338490872-1.6109172076501969229e-05j'), np.clongdouble('0.39876273705365492426+2.3849732723964456453e-05j'), np.clongdouble('0.3986754510932941497+4.381269762730503704e-16j'), np.clongdouble('0.39858707379539804846-0.0001919532616069422469j'), np.clongdouble('0.3990308774983850832+2.8834329671636914469e-05j'), np.clongdouble('0.4371105915706485114+2.5486555702151546144e-12j'), np.clongdouble('0.43701192086258119218-0.00024237117973749577894j'), np.clongdouble('0.61227498557795361834-0.00029957007543220734493j'), np.clongdouble('0.76993854804028258093+8.194374177794965418e-05j'), np.clongdouble('0.75908545081593969316-3.1088483932119347807e-13j'), np.clongdouble('0.76007964579508657045+0.0004062065648125062479j'), np.clongdouble('0.87557100007365733403+0.00014013328074126275182j'), np.clongdouble('0.8885557907393721483+1.8907141061471958948e-05j'), np.clongdouble('0.9422331720910824192-1.36925311944444189915e-05j'), 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np.clongdouble('1.0054253586009884928-3.8905947116793541478e-07j'), np.clongdouble('1.0054105308842308244+2.525224903471482276e-06j'), np.clongdouble('1.0054011947204792597+2.8713369956529479521e-06j'), np.clongdouble('1.0053917406225799946-2.8687160169777016395e-06j'), np.clongdouble('1.005380812371824828+2.5366648038416806378e-06j'), np.clongdouble('1.0053746249895144861+1.8500910396862069315e-07j'), np.clongdouble('1.0053644687664782789+6.513818027215440705e-07j'), np.clongdouble('1.0053651774580458829+8.980777000499776719e-07j'), np.clongdouble('1.0053560507155409517-4.3189483652809114037e-07j'), np.clongdouble('1.0053461740075572909+8.1195471621111729344e-07j'), np.clongdouble('1.0053346702219591173-8.102595268338447745e-07j'), np.clongdouble('1.0053245227851045856+1.414757228074099474e-06j'), np.clongdouble('1.0053158751659503257+8.447647705424887275e-08j'), np.clongdouble('1.0053032753062816905-2.7127276649671734756e-06j'), np.clongdouble('1.0052955126781012407-2.1320867917252801134e-06j'), np.clongdouble('1.0052857551853420694+1.6378053312427472694e-06j'), np.clongdouble('1.0052767335703103352-4.6577495301851028426e-07j'), np.clongdouble('1.005265736949471261-1.6533485879970235418e-06j'), np.clongdouble('1.0052555590617518324-1.3802099946973284741e-06j'), np.clongdouble('1.0052455401758468298+9.839823544326647902e-07j'), np.clongdouble('1.0052358883074972424-1.1740948283091391656e-06j'), np.clongdouble('1.0052261888017559839+3.3805588790417399112e-07j'), np.clongdouble('1.0052153269115395106-1.3915401390682495539e-06j'), np.clongdouble('1.0052062943034966292+8.434851984036845506e-08j'), np.clongdouble('1.0051964278456754069+2.8624582026101224682e-07j'), np.clongdouble('1.0051856689562582015-1.6649539601842060043e-06j'), np.clongdouble('1.0051770887570930169+7.550274992621007826e-07j'), np.clongdouble('1.0051659149148771797+9.634624684532378508e-07j'), np.clongdouble('1.005156527555742126-3.380436322433268825e-07j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j'), np.clongdouble('1.0051454676852594194-1.2712090498408125188e-06j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.33213389053971576), np.float64(0.330239735358323), np.float64(0.33023345898505774), np.float64(0.310634012152979), np.float64(0.3105394397440706), np.float64(0.26987404138129273), np.float64(0.2519031580368466), np.float64(0.26400722695275897), np.float64(0.32932987152809773), np.float64(0.3296854638094329), np.float64(0.33033120751888406), np.float64(0.4320501125895238), np.float64(0.4356117507722243), np.float64(0.5193284738287208), np.float64(0.54706512291222), np.float64(0.5703549052835419), np.float64(0.5835324154373951), np.float64(0.5835450979437299), np.float64(0.5838357102810718), np.float64(0.5891595275956425), np.float64(0.589290336208038), np.float64(0.5893903519276937), np.float64(0.5894475565707901), np.float64(0.5895928201790456), np.float64(0.5896753298008246), np.float64(0.5901478681411348), np.float64(0.8217662863835354), np.float64(0.8217445340664727), np.float64(0.892475279731103), np.float64(0.892452831688732), np.float64(0.9787634727240228), np.float64(0.9787373959428892), np.float64(0.9787113871511589), np.float64(0.9786853501740779), np.float64(0.9786593439975958), np.float64(0.9786509674507489), np.float64(0.9786249012991614), np.float64(0.9786893171826345), np.float64(0.9866380245483221), np.float64(0.9866117011734028), np.float64(0.986680655547515), np.float64(0.986729419334815), np.float64(0.9867051162182802), np.float64(0.9866799254030626), np.float64(0.9949171290397331), np.float64(0.9949118592415536), np.float64(0.9948853408247866), np.float64(0.9949044183486246), np.float64(0.9948778283318159), np.float64(0.9949059987800192), np.float64(0.9948794171507894), np.float64(0.9948528384442247), np.float64(0.9948263567462826), np.float64(0.9948001456357858), np.float64(0.9947738671537797), np.float64(0.9947472849509027), np.float64(0.9947878943192437), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125), np.float64(0.9998848213089125)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 2:\n",
      "Portas: 0.9997117174256038\n",
      "Estados: (1.0031950130860665+8.809738050398398e-06j)\n",
      "Distância: 0.0412315754676888\n",
      " \n",
      "Tempo: 3\n",
      "Começará a função principal\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_5994/116918231.py:4: RuntimeWarning: divide by zero encountered in scalar divide\n",
      "  f = -a*SA-h*(SB/SA)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tempo de parada: 53\n",
      "O rho gerado foi: [[np.float64(0.9997830835762112), np.complex128(-0.008571252047871585-0.03909136155409866j)], [np.complex128(-0.008571252047871585+0.03909136155409866j), np.float64(0.00021691642378879328)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.38985035236201821053+0j'), np.clongdouble('0.3899031197325321786-4.6949036301974499917e-09j'), np.clongdouble('0.39003608628304933134-8.277549399466138272e-06j'), np.clongdouble('0.39008196645843710193-4.5984924177792494436e-06j'), np.clongdouble('0.39003056012243794156-6.253078433553089195e-06j'), np.clongdouble('0.3900177187161833006+1.31708531661647677824e-05j'), np.clongdouble('0.40250328411526136094-0.00028647014545778382944j'), np.clongdouble('0.4025506264393165735+6.7477586302556037136e-05j'), np.clongdouble('0.4025845383588722942+3.3167471485194985005e-05j'), np.clongdouble('0.4026264358922998548+5.823829487354328584e-06j'), np.clongdouble('0.3802548165812837118-0.00018191259054524747562j'), np.clongdouble('0.38024764624878315493-0.00026272801696557342993j'), np.clongdouble('0.38024252775581896045-0.0002001702531566787829j'), np.clongdouble('0.38028792043820526398-0.00019493636135810332968j'), 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np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j'), np.clongdouble('0.99979171645275691026-3.9969708090459927185e-05j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.3333247214973075), np.float64(0.3338226885030289), np.float64(0.333565556841541), np.float64(0.3335524607215976), np.float64(0.3335342853771585), np.float64(0.3335142307694083), np.float64(0.3173601630442043), np.float64(0.28975563545935895), np.float64(0.2635875976126576), np.float64(0.2505322319840977), np.float64(0.25002790397123636), np.float64(0.25003033234747335), np.float64(0.2500235982555384), np.float64(0.250016857277742), np.float64(0.25003361017071574), np.float64(0.2571710347767748), np.float64(0.27133983755570584), np.float64(0.28022199965463584), np.float64(0.2804850046332327), np.float64(0.2816206601529609), np.float64(0.28182664311351313), np.float64(0.35113876671479466), np.float64(0.35649158344178905), np.float64(0.5135852714913519), np.float64(0.5142108818930656), np.float64(0.623434745202689), np.float64(0.6289124024430625), np.float64(0.6517105601395947), np.float64(0.8492002553797467), np.float64(0.9342512422598164), np.float64(0.9342289759209553), np.float64(0.9342347223916193), np.float64(0.9357587518860478), np.float64(0.9373307732036732), np.float64(0.9373066108933212), np.float64(0.9375578003625235), np.float64(0.937788841948838), np.float64(0.9781072334030879), np.float64(0.9781107486121536), np.float64(0.9781050047516625), np.float64(0.9780792604304408), np.float64(0.9780535673886833), np.float64(0.9780563008985278), np.float64(0.9780739402173562), np.float64(0.9920253299363444), np.float64(0.993983390310834), np.float64(0.9939694165482066), np.float64(0.9939430133799029), np.float64(0.9939292649497086), np.float64(0.9986954742864463), np.float64(0.9986761313667785), np.float64(0.9986509740289446), np.float64(0.9989501218095184), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859), np.float64(0.9998787531275859)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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23o+MjFTt2rX12muvKT09Pd/zTpw4UaTxH330US1atEhvvPGGQkJCHPsHKAhnZoBCNGrUSPfee68iIyMVHBysjRs36quvvtLAgQMdfSIjIyVJgwcPVkxMjNzd3fXggw/qgQceUJs2bfT888/r4MGDatq0qRYtWqR58+ZpyJAhjt9eIyMj1b17d73xxhs6deqU49bsX3/9VVLhv/3+lb+/v1q3bq0JEyYoJydHN910kxYtWqTExMRS3yf333+/5syZo65du6pTp05KTEzUtGnT1KhRowL/4/qrSpUqacSIERo/frzuv/9+dezYUVu2bNH8+fPzzdX5n//5H82cOVOxsbEaPHiwgoODNWPGDCUmJurrr7+Wm9ulfw+bNGmSDhw4oMGDB2vOnDm6//77FRQUpKSkJM2ePVu//PKLHnzwQUnSuHHjtHjxYrVs2VJPP/20ypUrp/fee09ZWVlOn61SWurUqaOWLVvqqaeeUlZWluM/6+eee87RZ+LEiYqNjVVUVJT69+/vuDU7ICCgRF+fUbt2bY0bN04jR47UwYMH1aVLF1WoUEGJiYmaO3euBgwYoBEjRhR7zMDAQE2bNk0VKlSQr6+vWrRooZo1a+qDDz5QbGysbr75ZsXFxemmm27S4cOHtXz5cvn7++vbb7+97PgPP/ywnnvuOc2dO1dPPfVUvnk9gBNX3EIFXG15t9Fu2LChwPX33HPPZW/NHjdunGnevLkJDAw03t7epkGDBuall14y2dnZjj4XLlwwgwYNMpUqVTI2m83pNu20tDQzdOhQU7VqVePh4WHq1q1rJk6c6HS7qjHGZGRkmPj4eBMcHGz8/PxMly5dzN69e40kp1ul827DPXHiRL7Xc+jQIdO1a1cTGBhoAgICTI8ePcyRI0cKvb374jH69u1rfH19L7uf7Ha7efnll0316tWNl5eXue2228x3331n+vbta6pXr17gvv6r3NxcM3bsWFOlShXj7e1t7r33XrNz5858+94YYw4cOGD+/ve/m8DAQFO+fHnTvHlz89133112G3kuXLhgPvjgA9OqVSsTEBBgPDw8TPXq1U1cXFy+27Y3b95sYmJijJ+fn/Hx8TFt2rQxq1evdupT2HuqqPs079bsiRMnmkmTJpnw8HDj5eVlWrVqZbZt25av/iVLlpi7777beHt7G39/f/PAAw+Y3bt3F2nbebUmJiY6tX/99demZcuWxtfX1/j6+poGDRqY+Ph4s3fvXkefgv5t5L2ei4/xvHnzTKNGjUy5cuXy3aa9ZcsW061bNxMSEmK8vLxM9erVTc+ePc3SpUvzjV2Yjh07Gkn5jgVwMZsx12iGGoAi27p1q2677TZ9+umnfEjYdeLgwYOqWbOmJk6cWOyzIDeqrl27aseOHcWaQ4YbE3NmABf7448/8rW98cYbcnNzc3zyLnCjOXr0qL7//vsif5IzbmzMmQFcbMKECdq0aZPatGmjcuXKaf78+Zo/f74GDBhQ6nfSAGVdYmKifv75Z33wwQfy8PDQP/7xD1eXBAsgzAAudtddd2nx4sX6z3/+o/T0dEVERGjMmDF6/vnnXV0acM2tXLlScXFxioiI0IwZMxQWFubqkmABzJkBAACWxpwZAABgaYQZAABgadf9nBm73a4jR46oQoUKRfoAMgAA4HrGGKWlpalq1aqX/aDM6z7MHDlyhDtCAACwqOTkZFWrVu2Sfa77MJP3JX/Jycml/h0rAADg6khNTVV4eLjTl/UW5roPM3mXlvz9/QkzAABYTFGmiDABGAAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWFo5VxdgdUlJSTp58qSryyiWihUrKiIiwtVlAABQKggzVyApKUn1GzRU5h/nXV1KsZT39tHeX/YQaAAA1wXCzBU4efKkMv84r5D7h8sjJNzV5RRJzqlknfpukk6ePEmYAQBcFwgzpcAjJFxeYXVcXQYAADckJgADAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLI8wAAABLK1Nh5pVXXpHNZtOQIUMcbZmZmYqPj1dISIj8/PzUvXt3HTt2zHVFAgCAMqXMhJkNGzbovffeU5MmTZzahw4dqm+//VazZ8/WypUrdeTIEXXr1s1FVQIAgLKmTISZ9PR09e7dW//9738VFBTkaD937pw+/PBDvf7662rbtq0iIyOVkJCg1atXa+3atS6sGAAAlBVlIszEx8erU6dOio6OdmrftGmTcnJynNobNGigiIgIrVmz5lqXCQAAyqByri5g1qxZ2rx5szZs2JBvXUpKijw9PRUYGOjUHhoaqpSUlALHy8rKUlZWlmM5NTW1VOsFAABli0vPzCQnJ+uZZ57RZ599pvLly5fKmOPHj1dAQIDjER4eXirjAgCAssmlYWbTpk06fvy4br/9dpUrV07lypXTypUr9dZbb6lcuXIKDQ1Vdna2zp496/S8Y8eOKSwsrMAxR44cqXPnzjkeycnJ1+CVAAAAV3HpZaZ27dppx44dTm1xcXFq0KCB/vnPfyo8PFweHh5aunSpunfvLknau3evkpKSFBUVVeCYXl5e8vLyuuq1AwCAssGlYaZChQpq3LixU5uvr69CQkIc7f3799ewYcMUHBwsf39/DRo0SFFRUbrzzjtdUTIAAChjXD4B+HImT54sNzc3de/eXVlZWYqJidG7777r6rIAAEAZUebCzIoVK5yWy5cvrylTpmjKlCmuKQgAAJRpZeJzZgAAAEqKMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACzNpWFm6tSpatKkifz9/eXv76+oqCjNnz/fsT4zM1Px8fEKCQmRn5+funfvrmPHjrmwYgAAUNa4NMxUq1ZNr7zyijZt2qSNGzeqbdu26ty5s3bt2iVJGjp0qL799lvNnj1bK1eu1JEjR9StWzdXlgwAAMqYcq7c+AMPPOC0/NJLL2nq1Klau3atqlWrpg8//FCff/652rZtK0lKSEhQw4YNtXbtWt15552uKBkAAJQxZWbOTG5urmbNmqWMjAxFRUVp06ZNysnJUXR0tKNPgwYNFBERoTVr1hQ6TlZWllJTU50eAADg+uXyMLNjxw75+fnJy8tLTz75pObOnatGjRopJSVFnp6eCgwMdOofGhqqlJSUQscbP368AgICHI/w8PCr/AoAAIAruTzM1K9fX1u3btW6dev01FNPqW/fvtq9e3eJxxs5cqTOnTvneCQnJ5ditQAAoKxx6ZwZSfL09FSdOnUkSZGRkdqwYYPefPNN9erVS9nZ2Tp79qzT2Zljx44pLCys0PG8vLzk5eV1tcsGAABlhMvPzFzMbrcrKytLkZGR8vDw0NKlSx3r9u7dq6SkJEVFRbmwQgAAUJa49MzMyJEjFRsbq4iICKWlpenzzz/XihUrtHDhQgUEBKh///4aNmyYgoOD5e/vr0GDBikqKoo7mQAAgINLw8zx48fVp08fHT16VAEBAWrSpIkWLlyo9u3bS5ImT54sNzc3de/eXVlZWYqJidG7777rypIBAEAZ49Iw8+GHH15yffny5TVlyhRNmTLlGlUEAACspszNmQEAACgOwgwAALA0wgwAALA0wgwAALC0K5oAvHHjRn355ZdKSkpSdna207o5c+ZcUWEAAABFUeIzM7NmzdJdd92lPXv2aO7cucrJydGuXbu0bNkyBQQElGaNAAAAhSpxmHn55Zc1efJkffvtt/L09NSbb76pX375RT179lRERERp1ggAAFCoEoeZAwcOqFOnTpL+/H6ljIwM2Ww2DR06VO+//36pFQgAAHApJQ4zQUFBSktLkyTddNNN2rlzpyTp7NmzOn/+fOlUBwAAcBklngDcunVrLV68WLfccot69OihZ555RsuWLdPixYvVrl270qwRAACgUCUOM++8844yMzMlSc8//7w8PDy0evVqde/eXf/+979LrUAAAIBLKXGYCQ4Odvzdzc1N//M//1MqBQEAABRHscJMamqq/P39HX+/lLx+AAAAV1OxwkxQUJCOHj2qypUrKzAwUDabLV8fY4xsNptyc3NLrUgAAIDCFCvMLFu2zHF5afny5VelIAAAgOIoVpi55557Cvw7AACAq5T4c2YSEhI0e/bsfO2zZ8/WjBkzrqgoAACAoipxmBk/frwqVqyYr71y5cp6+eWXr6goAACAoipxmElKSlLNmjXztVevXl1JSUlXVBQAAEBRlTjMVK5cWdu3b8/Xvm3bNoWEhFxRUQAAAEVV4jDz0EMPafDgwVq+fLlyc3OVm5urZcuW6ZlnntGDDz5YmjUCAAAUqsSfAPyf//xHBw8eVLt27VSu3J/D2O129enThzkzAADgmilxmPH09NQXX3yh//znP9q2bZu8vb11yy23qHr16qVZHwAAwCWVOMzkqVevnurVq1catQAAABRbicNMbm6upk+frqVLl+r48eOy2+1O65ctW3bFxQEAAFxOicPMM888o+nTp6tTp05q3Lhxgd/TBAAAcLWVOMzMmjVLX375pTp27Fia9QAAABRLiW/N9vT0VJ06dUqzFgAAgGIrcZgZPny43nzzTRljSrMeAACAYinxZaaffvpJy5cv1/z583XzzTfLw8PDaf2cOXOuuDgAAIDLKXGYCQwMVNeuXUuzFgAAgGIrcZhJSEgozToAAABKpMRzZiTpwoULWrJkid577z2lpaVJko4cOaL09PRSKQ4AAOByin1mxm63y83NTb///rs6dOigpKQkZWVlqX379qpQoYJeffVVZWVladq0aVejXgAAACfFOjOzY8cOtW7dWtKfH5rXrFkznTlzRt7e3o4+Xbt21dKlS0u3SgAAgEIU+czMV199pRdffFGffvqpJOnHH3/U6tWr5enp6dSvRo0aOnz4cOlWCQAAUIgin5mx2+3Kzc11fG1B3vLFDh06pAoVKpRehQAAAJdQ5DDTs2dPffLJJxowYIAkqX379nrjjTcc6202m9LT0zV69Gi+4gAAAFwzxZoAfPvtt+vHH3+UJL3++uuKiYlRo0aNlJmZqYcfflj79u1TxYoVNXPmzKtSLAAAwMWKfTdTuXJ/PqVatWratm2bZs2ape3btys9PV39+/dX7969nSYEAwAAXE0l/tA86c9g88gjj5RWLQAAAMVW4jDz8ccfX3J9nz59Sjo0AABAkZU4zDzzzDNOyzk5OTp//rw8PT3l4+NDmAEAANdEib/O4MyZM06P9PR07d27Vy1btmQCMAAAuGau6LuZLla3bl298sor+c7aAAAAXC2lGmakPycFHzlypLSHBQAAKFCJ58z87//+r9OyMUZHjx7VO++8o7vvvvuKCwMAACiKEoeZLl26OC3bbDZVqlRJbdu21aRJk660LgAAgCIpcZix2+2lWQcAAECJlPqcGQAAgGupxGdmhg0bVuS+r7/+ekk3AwAAcEklDjNbtmzRli1blJOTo/r160uSfv31V7m7u+v222939LPZbFdeJQAAQCFKHGYeeOABVahQQTNmzFBQUJCkPz9ILy4uTq1atdLw4cNLrUgAAIDClHjOzKRJkzR+/HhHkJGkoKAgjRs3jruZAADANVPiMJOamqoTJ07kaz9x4oTS0tKuqCgAAICiKnGY6dq1q+Li4jRnzhwdOnRIhw4d0tdff63+/furW7dupVkjAABAoUo8Z2batGkaMWKEHn74YeXk5Pw5WLly6t+/vyZOnFhqBQIAAFxKicOMj4+P3n33XU2cOFEHDhyQJNWuXVu+vr6lVhwAAMDlXPGH5h09elRHjx5V3bp15evrK2NMadQFAABQJCUOM6dOnVK7du1Ur149dezYUUePHpUk9e/fn9uyAQDANVPiMDN06FB5eHgoKSlJPj4+jvZevXppwYIFpVIcAADA5ZR4zsyiRYu0cOFCVatWzam9bt26+v3336+4MAAAgKIo8ZmZjIwMpzMyeU6fPi0vL68rKgoAAKCoShxmWrVqpY8//tixbLPZZLfbNWHCBLVp06ZUigMAALicEl9mmjBhgtq1a6eNGzcqOztbzz33nHbt2qXTp0/r559/Ls0aAQAAClXiMzONGzfWr7/+qpYtW6pz587KyMhQt27dtGXLFtWuXbtIY4wfP1533HGHKlSooMqVK6tLly7au3evU5/MzEzFx8crJCREfn5+6t69u44dO1bSsgEAwHWmRGdmcnJy1KFDB02bNk3PP/98iTe+cuVKxcfH64477tCFCxf0r3/9S/fdd592797t+PC9oUOH6vvvv9fs2bMVEBCggQMHqlu3bpz9AQAAkkoYZjw8PLR9+/Yr3vjFt3BPnz5dlStX1qZNm9S6dWudO3dOH374oT7//HO1bdtWkpSQkKCGDRtq7dq1uvPOO6+4BgAAYG0lvsz0yCOP6MMPPyzNWnTu3DlJUnBwsCRp06ZNysnJUXR0tKNPgwYNFBERoTVr1pTqtgEAgDWVeALwhQsX9NFHH2nJkiWKjIzM951Mr7/+erHGs9vtGjJkiO6++241btxYkpSSkiJPT08FBgY69Q0NDVVKSkqB42RlZSkrK8uxnJqaWqw6AACAtRQ7zPz222+qUaOGdu7cqdtvv12S9Ouvvzr1sdlsxS4kPj5eO3fu1E8//VTs5/7V+PHjNXbs2CsaAwAAWEexw0zdunV19OhRLV++XNKfX1/w1ltvKTQ0tMRFDBw4UN99951WrVrl9InCYWFhys7O1tmzZ53Ozhw7dkxhYWEFjjVy5EgNGzbMsZyamqrw8PAS1wYAAMq2Ys+ZufhbsefPn6+MjIwSbdwYo4EDB2ru3LlatmyZatas6bQ+MjJSHh4eWrp0qaNt7969SkpKUlRUVIFjenl5yd/f3+kBAACuXyWeM5Pn4nBTHPHx8fr88881b948VahQwTEPJiAgQN7e3goICFD//v01bNgwBQcHy9/fX4MGDVJUVBR3MgEAAEklCDM2my3fnJiSzJGRpKlTp0qS7r33Xqf2hIQE9evXT5I0efJkubm5qXv37srKylJMTIzefffdEm0PAABcf4odZowx6tevn+PLJDMzM/Xkk0/mu5tpzpw5RRrrcsqXL68pU6ZoypQpxS0VAADcAIodZvr27eu0/Mgjj5RaMQAAAMVV7DCTkJBwNeoAAAAokRJ/AjAAAEBZQJgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACWRpgBAACW5vIws2rVKj3wwAOqWrWqbDabvvnmG6f1xhiNGjVKVapUkbe3t6Kjo7Vv3z7XFAsAAMocl4eZjIwMNW3aVFOmTClw/YQJE/TWW29p2rRpWrdunXx9fRUTE6PMzMxrXCkAACiLyrm6gNjYWMXGxha4zhijN954Q//+97/VuXNnSdLHH3+s0NBQffPNN3rwwQevZakAAKAMcvmZmUtJTExUSkqKoqOjHW0BAQFq0aKF1qxZU+BzsrKylJqa6vQAAADXrzIdZlJSUiRJoaGhTu2hoaGOdRcbP368AgICHI/w8PCrXicAAHCdMh1mSmLkyJE6d+6c45GcnOzqkgAAwFVUpsNMWFiYJOnYsWNO7ceOHXOsu5iXl5f8/f2dHgAA4PpVpsNMzZo1FRYWpqVLlzraUlNTtW7dOkVFRbmwMgAAUFa4/G6m9PR07d+/37GcmJiorVu3Kjg4WBERERoyZIjGjRununXrqmbNmnrhhRdUtWpVdenSxXVFAwCAMsPlYWbjxo1q06aNY3nYsGGSpL59+2r69Ol67rnnlJGRoQEDBujs2bNq2bKlFixYoPLly7uqZAAAUIa4PMzce++9MsYUut5ms+nFF1/Uiy++eA2rAgAAVlGm58wAAABcDmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYWjlXFwAAN5qkpCSdPHnS1WUUW8WKFRUREeHqMoB8CDMAcA0lJSWpfoOGyvzjvKtLKbby3j7a+8seAg3KHMIMAFxDJ0+eVOYf5xVy/3B5hIS7upwiyzmVrFPfTdLJkycJMyhzCDMA4AIeIeHyCqvj6jKA6wITgAEAgKURZgAAgKURZgAAgKUxZwYAgDLEirfuu/q2fcIMAABlhFVv3Xf1bfuEGQAAyggr3rpfFm7bJ8wAAFDGcOt+8TABGAAAWBphBgAAWBphBgAAWBphBgAAWBoTgG9Qe/bscXUJxeLqzzC4UfD5FrjeWO09bbWfzWUFYeYGk5t+RrLZ9Mgjj7i6lGJx9WcY3Aj4fAtcb6z6nkbxEWZuMPasdMkYPsMA+fD5FrjeWPE9/cdvG3Xux09dXYblEGZuUHyGAQrDewPXGyu9p3NOJbu6BEuyzATgKVOmqEaNGipfvrxatGih9evXu7okAABQBlgizHzxxRcaNmyYRo8erc2bN6tp06aKiYnR8ePHXV0aAABwMUuEmddff11PPPGE4uLi1KhRI02bNk0+Pj766KOPXF0aAABwsTIfZrKzs7Vp0yZFR0c72tzc3BQdHa01a9a4sDIAAFAWlPkJwCdPnlRubq5CQ0Od2kNDQ/XLL7/k65+VlaWsrCzH8rlz5yRJqamppV5benr6n9tM2S97dmapj3815E0us1TNpw9JkjZt2uTY51bg5uYmu93u6jKKbO/evZJ4b1xtVtzPEvv6WrHyz+j09PRS/b82byxjzOU7mzLu8OHDRpJZvXq1U/uzzz5rmjdvnq//6NGjjSQePHjw4MGDx3XwSE5OvmxWKPNnZipWrCh3d3cdO3bMqf3YsWMKCwvL13/kyJEaNmyYY9lut+v06dMKCQmRzWYr1dpSU1MVHh6u5ORk+fv7l+rYKBqOgWux/12PY+B6HIOrwxijtLQ0Va1a9bJ9y3yY8fT0VGRkpJYuXaouXbpI+jOgLF26VAMHDszX38vLS15eXk5tgYGBV7VGf39/3sAuxjFwLfa/63EMXI9jUPoCAgKK1K/MhxlJGjZsmPr27atmzZqpefPmeuONN5SRkaG4uDhXlwYAAFzMEmGmV69eOnHihEaNGqWUlBTdeuutWrBgQb5JwQAA4MZjiTAjSQMHDizwspIreXl5afTo0fkua+Ha4Ri4Fvvf9TgGrscxcD2bMUW55wkAAKBsKvMfmgcAAHAphBkAAGBphBkAAGBphBkAAGBphJkSmjJlimrUqKHy5curRYsWWr9+vatLum6NGTNGNpvN6dGgQQPH+szMTMXHxyskJER+fn7q3r17vk+MRvGsWrVKDzzwgKpWrSqbzaZvvvnGab0xRqNGjVKVKlXk7e2t6Oho7du3z6nP6dOn1bt3b/n7+yswMFD9+/e3zHf6lAWXOwb9+vXL9++iQ4cOTn04BiU3fvx43XHHHapQoYIqV66sLl26OL7rKU9RfvYkJSWpU6dO8vHxUeXKlfXss8/qwoUL1/Kl3BAIMyXwxRdfaNiwYRo9erQ2b96spk2bKiYmRsePH3d1adetm2++WUePHnU8fvrpJ8e6oUOH6ttvv9Xs2bO1cuVKHTlyRN26dXNhtdaXkZGhpk2basqUKQWunzBhgt566y1NmzZN69atk6+vr2JiYpSZ+X9fjNe7d2/t2rVLixcv1nfffadVq1ZpwIAB1+olWN7ljoEkdejQwenfxcyZM53WcwxKbuXKlYqPj9fatWu1ePFi5eTk6L777lNGRoajz+V+9uTm5qpTp07Kzs7W6tWrNWPGDE2fPl2jRo1yxUu6vpXKt0HeYJo3b27i4+Mdy7m5uaZq1apm/PjxLqzq+jV69GjTtGnTAtedPXvWeHh4mNmzZzva9uzZYySZNWvWXKMKr2+SzNy5cx3LdrvdhIWFmYkTJzrazp49a7y8vMzMmTONMcbs3r3bSDIbNmxw9Jk/f76x2Wzm8OHD16z268XFx8AYY/r27Ws6d+5c6HM4BqXr+PHjRpJZuXKlMaZoP3t++OEH4+bmZlJSUhx9pk6davz9/U1WVta1fQHXOc7MFFN2drY2bdqk6OhoR5ubm5uio6O1Zs0aF1Z2fdu3b5+qVq2qWrVqqXfv3kpKSpIkbdq0STk5OU7Ho0GDBoqIiOB4XCWJiYlKSUlx2ucBAQFq0aKFY5+vWbNGgYGBatasmaNPdHS03NzctG7dumte8/VqxYoVqly5surXr6+nnnpKp06dcqzjGJSuc+fOSZKCg4MlFe1nz5o1a3TLLbc4fVp9TEyMUlNTtWvXrmtY/fWPMFNMJ0+eVG5ubr6vUggNDVVKSoqLqrq+tWjRQtOnT9eCBQs0depUJSYmqlWrVkpLS1NKSoo8PT3zfZkox+Pqyduvl/o3kJKSosqVKzutL1eunIKDgzkupaRDhw76+OOPtXTpUr366qtauXKlYmNjlZubK4ljUJrsdruGDBmiu+++W40bN5akIv3sSUlJKfDfSd46lB7LfJ0BblyxsbGOvzdp0kQtWrRQ9erV9eWXX8rb29uFlQGu8+CDDzr+fsstt6hJkyaqXbu2VqxYoXbt2rmwsutPfHy8du7c6TRXD2ULZ2aKqWLFinJ3d883Y/3YsWMKCwtzUVU3lsDAQNWrV0/79+9XWFiYsrOzdfbsWac+HI+rJ2+/XurfQFhYWL4J8RcuXNDp06c5LldJrVq1VLFiRe3fv18Sx6C0DBw4UN99952WL1+uatWqOdqL8rMnLCyswH8neetQeggzxeTp6anIyEgtXbrU0Wa327V06VJFRUW5sLIbR3p6ug4cOKAqVaooMjJSHh4eTsdj7969SkpK4nhcJTVr1lRYWJjTPk9NTdW6desc+zwqKkpnz57Vpk2bHH2WLVsmu92uFi1aXPOabwSHDh3SqVOnVKVKFUkcgytljNHAgQM1d+5cLVu2TDVr1nRaX5SfPVFRUdqxY4dTqFy8eLH8/f3VqFGja/NCbhSunoFsRbNmzTJeXl5m+vTpZvfu3WbAgAEmMDDQacY6Ss/w4cPNihUrTGJiovn5559NdHS0qVixojl+/Lgxxpgnn3zSREREmGXLlpmNGzeaqKgoExUV5eKqrS0tLc1s2bLFbNmyxUgyr7/+utmyZYv5/fffjTHGvPLKKyYwMNDMmzfPbN++3XTu3NnUrFnT/PHHH44xOnToYG677Tazbt0689NPP5m6deuahx56yFUvyXIudQzS0tLMiBEjzJo1a0xiYqJZsmSJuf32203dunVNZmamYwyOQck99dRTJiAgwKxYscIcPXrU8Th//ryjz+V+9ly4cME0btzY3HfffWbr1q1mwYIFplKlSmbkyJGueEnXNcJMCb399tsmIiLCeHp6mubNm5u1a9e6uqTrVq9evUyVKlWMp6enuemmm0yvXr3M/v37Hev/+OMP8/TTT5ugoCDj4+Njunbtao4ePerCiq1v+fLlRlK+R9++fY0xf96e/cILL5jQ0FDj5eVl2rVrZ/bu3es0xqlTp8xDDz1k/Pz8jL+/v4mLizNpaWkueDXWdKljcP78eXPfffeZSpUqGQ8PD1O9enXzxBNP5PuFimNQcgXte0kmISHB0acoP3sOHjxoYmNjjbe3t6lYsaIZPny4ycnJucav5vpnM8aYa302CAAAoLQwZwYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQa4waWkpGjQoEGqVauWvLy8FB4ergceeMDpO2cg9evXT126dHF1GQAKUM7VBQBwnYMHD+ruu+9WYGCgJk6cqFtuuUU5OTlauHCh4uPj9csvv7i6RAC4LM7MADewp59+WjabTevXr1f37t1Vr1493XzzzRo2bJjWrl3r6JeUlKTOnTvLz89P/v7+6tmzp44dO+ZYP2bMGN1666366KOPFBERIT8/Pz399NPKzc3VhAkTFBYWpsqVK+ull15y2r7NZtPUqVMVGxsrb29v1apVS1999ZVTnx07dqht27by9vZWSEiIBgwYoPT0dMf6vDMmr732mqpUqaKQkBDFx8crJyfH0ScrK0sjRozQTTfdJF9fX7Vo0UIrVqxwrJ8+fboCAwO1cOFCNWzYUH5+furQoYOOHj3qeH0zZszQvHnzZLPZZLPZHM9PTk5Wz549FRgYqODgYHXu3FkHDx4scH8bY1SnTh299tprTu1bt26VzWbT/v37L3/QAORDmAFuUKdPn9aCBQsUHx8vX1/ffOsDAwMlSXa7XZ07d9bp06e1cuVKLV68WL/99pt69erl1P/AgQOaP3++FixYoJkzZ+rDDz9Up06ddOjQIa1cuVKvvvqq/v3vf2vdunVOz3vhhRfUvXt3bdu2Tb1799aDDz6oPXv2SJIyMjIUExOjoKAgbdiwQbNnz9aSJUs0cOBApzGWL1+uAwcOaPny5ZoxY4amT5+u6dOnO9YPHDhQa9as0axZs7R9+3b16NFDHTp00L59+xx9zp8/r9dee02ffPKJVq1apaSkJI0YMUKSNGLECPXs2dMRcI4ePaq77rpLOTk5iomJUYUKFfTjjz/q559/dgSh7OzsfPvUZrPpscceU0JCglN7QkKCWrdurTp16lzmqAEokIu/6BKAi6xbt85IMnPmzLlkv0WLFhl3d3eTlJTkaNu1a5eRZNavX2+MMWb06NHGx8fHpKamOvrExMSYGjVqmNzcXEdb/fr1zfjx4x3LksyTTz7ptL0WLVqYp556yhhjzPvvv2+CgoJMenq6Y/33339v3NzcHN8Q3bdvX1O9enVz4cIFR58ePXqYXr16GWOM+f333427u7s5fPiw03batWtnRo4caYwxJiEhwUhy+jb2KVOmmNDQUMdy3759TefOnZ3G+OSTT0z9+vWN3W53tGVlZRlvb2+zcOHC/DvTGHP48GHj7u5u1q1bZ4wxJjs721SsWNFMnz69wP4ALo85M8ANyhhTpH579uxReHi4wsPDHW2NGjVSYGCg9uzZozvuuEOSVKNGDVWoUMHRJzQ0VO7u7nJzc3NqO378uNP4UVFR+Za3bt3q2HbTpk2dzhzdfffdstvt2rt3r0JDQyVJN998s9zd3R19qlSpoh07dkj68zJVbm6u6tWr57SdrKwshYSEOJZ9fHxUu3ZtpzEurvVi27Zt0/79+51etyRlZmbqwIEDBT6natWq6tSpkz766CM1b95c3377rbKystSjR49LbgtA4QgzwA2qbt26stlspTbJ18PDw2nZZrMV2Ga320tle5fbdt520tPT5e7urk2bNjkFHkny8/O75BiXC3zp6emKjIzUZ599lm9dpUqVCn3e448/rkcffVSTJ09WQkKCevXqJR8fn0tuC0DhmDMD3KCCg4MVExOjKVOmKCMjI9/6s2fPSpIaNmyo5ORkJScnO9bt3r1bZ8+eVaNGja64jr9ONM5bbtiwoWPb27Ztc6rv559/lpubm+rXr1+k8W+77Tbl5ubq+PHjqlOnjtMjLCysyHV6enoqNzfXqe3222/Xvn37VLly5XxjBwQEFDpWx44d5evrq6lTp2rBggV67LHHilwHgPwIM8ANbMqUKcrNzVXz5s319ddfa9++fdqzZ4/eeustx+Wf6Oho3XLLLerdu7c2b96s9evXq0+fPrrnnnvUrFmzK65h9uzZ+uijj/Trr79q9OjRWr9+vWOCb+/evVW+fHn17dtXO3fu1PLlyzVo0CA9+uijjktMl1OvXj317t1bffr00Zw5c5SYmKj169dr/Pjx+v7774tcZ40aNbR9+3bt3btXJ0+eVE5Ojnr37q2KFSuqc+fO+vHHH5WYmKgVK1Zo8ODBOnToUKFjubu7q1+/fho5cqTq1q2b71IbgOIhzAA3sFq1amnz5s1q06aNhg8frsaNG6t9+/ZaunSppk6dKunPyy3z5s1TUFCQWrdurejoaNWqVUtffPFFqdQwduxYzZo1S02aNNHHH3+smTNnOs74+Pj4aOHChTp9+rTuuOMO/f3vf1e7du30zjvvFGsbCQkJ6tOnj4YPH6769eurS5cu2rBhgyIiIoo8xhNPPKH69eurWbNmqlSpkn7++Wf5+Pho1apVioiIULdu3dSwYUP1799fmZmZ8vf3v+R4/fv3V3Z2tuLi4or1WgDkZzNFnQUIAKXMZrNp7ty5N+Qn6/74449q166dkpOTi3yWCUDBmAAMANdQVlaWTpw4oTFjxqhHjx4EGaAUcJkJAK6hmTNnqnr16jp79qwmTJjg6nKA6wKXmQAAgKVxZgYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFgaYQYAAFja/wPhAA2d1cE/4wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 3:\n",
      "Portas: 0.9997673959929312\n",
      "Estados: (1.0020605808749632-7.45007732988771e-06j)\n",
      "Distância: 0.0317212128851404\n",
      " \n",
      "Tempo: 4\n",
      "Começará a função principal\n",
      "Tempo de parada: 100\n",
      "O rho gerado foi: [[np.float64(0.9962029075347074), np.complex128(-5.761952503066e-05+0.10193090583449764j)], [np.complex128(-5.761952503066e-05-0.10193090583449764j), np.float64(0.0037970924652926397)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.500204929248132681+0j'), np.clongdouble('0.4152087058852458243+0.000107917663907254111757j'), np.clongdouble('0.41542632747848705447-2.2233070683980554061e-05j'), np.clongdouble('0.42794758733078253854+7.987139270522281743e-05j'), np.clongdouble('0.42807778775734532314+4.1152629654168723958e-05j'), np.clongdouble('0.5274188549161960676-0.0002205747618648196178j'), np.clongdouble('0.5277320355489178396-3.0322440001830097897e-06j'), np.clongdouble('0.68169928503605721-8.564271337917455472e-05j'), np.clongdouble('0.68162026999151574677-0.000288020729653878879j'), np.clongdouble('0.6782639474341029721+0.00030221758564364404547j'), np.clongdouble('0.67840982686440786325-0.0003195193084726736321j'), np.clongdouble('0.6801092805432765059-3.0614306862878036402e-05j'), np.clongdouble('0.679953877322101689-2.6602226502504520782e-05j'), np.clongdouble('0.68151268672021483023+6.7212879312750165785e-05j'), np.clongdouble('0.6811024867271697234+0.00013234178587279709218j'), np.clongdouble('0.7089056084531210413-0.00035862005721157659706j'), np.clongdouble('0.816254358365022519-3.9253852479977501013e-05j'), np.clongdouble('0.8163665058576065402+0.00023274749124406933117j'), np.clongdouble('0.8166078984453939764+3.8131371039247275793e-05j'), np.clongdouble('0.8171472706263455306-0.00029315951583948944757j'), np.clongdouble('0.945666430060012066-0.000174092132196378098j'), np.clongdouble('0.9456076086539176988+0.00016553522330713308304j'), np.clongdouble('0.9458010582464581744+0.00011755510379476486944j'), np.clongdouble('0.9458161182478858996-0.00013664349052801533201j'), np.clongdouble('0.9458539706876382737-3.1306404346870856535e-06j'), np.clongdouble('0.94573888965755695756+0.00020313730446539820159j'), np.clongdouble('0.9458393246742452469+0.00022925905848321737769j'), np.clongdouble('0.94590680632197338715+7.744831878518285231e-05j'), np.clongdouble('0.94600082577441352614+2.4172375979939979833e-05j'), np.clongdouble('0.9619678580506351046-0.00011654807219905963773j'), np.clongdouble('0.99344130957480683417+1.3060896205800787458e-05j'), np.clongdouble('0.9933888567468700387-7.4799998732397612045e-05j'), np.clongdouble('0.9934093055943351289-7.049047974467545199e-05j'), np.clongdouble('0.9934236840640629306-2.1152720529486898845e-05j'), np.clongdouble('0.99452877240628849073-6.407420952975206803e-05j'), np.clongdouble('0.99452321783330725215+0.00010546998880342106969j'), np.clongdouble('0.9945794182235240289+4.0296234583768247995e-05j'), np.clongdouble('0.99459157304994081375-2.0396982277242273156e-06j'), np.clongdouble('0.9945455829342967699-8.985327421520528496e-05j'), np.clongdouble('0.99454594829254464446+4.3122673341635467955e-05j'), np.clongdouble('0.9946320388907169065-1.2300855757951632643e-05j'), np.clongdouble('0.994660531618154368-3.329938332931179361e-08j'), np.clongdouble('0.9945738388692266672-7.47184778005692286e-05j'), np.clongdouble('0.99518153160306126225+3.4774336779413721732e-06j'), np.clongdouble('0.99618705134838257887+8.5478245235373310504e-05j'), np.clongdouble('0.99618915134579011595+0.00012246531447353073046j'), np.clongdouble('0.9962200066155879064+4.9458338772852866014e-06j'), np.clongdouble('0.99621363025970342673+2.6384168747997966597e-05j'), np.clongdouble('0.99620620018210213464-2.1623166405049511121e-05j'), np.clongdouble('0.99621682247285359954-7.350786565428402068e-05j'), np.clongdouble('0.9962358134919801128-7.6992419868562515294e-07j'), np.clongdouble('0.9962311240040330276-2.9486113323014366711e-05j'), np.clongdouble('0.996211757361552271+9.775687475949568808e-06j'), np.clongdouble('0.9961862608720398287-9.0308944182216778514e-05j'), np.clongdouble('0.99626264801377738256+2.4805404249253402768e-05j'), np.clongdouble('0.99626434697398781105-4.3286902842776345626e-05j'), np.clongdouble('0.996224283840423967+0.00010293513240487630936j'), np.clongdouble('0.99629291597652012963+1.1268951220134695896e-05j'), np.clongdouble('0.99634118005694704363-5.945160220773466002e-06j'), np.clongdouble('0.99633784029982046905+1.5682066214157283471e-05j'), np.clongdouble('0.99623875320088239903+7.922312190668438603e-05j'), np.clongdouble('0.99622131496294897895+0.00012175192468989617394j'), np.clongdouble('0.996261252150777596-1.2579246082593790253e-05j'), np.clongdouble('0.9962607446716711294-5.6284920311946573774e-05j'), np.clongdouble('0.9962701279363013895+2.4431690898266138371e-05j'), np.clongdouble('0.9962789633703048347-2.4340440402387393918e-05j'), np.clongdouble('0.9962548316162299194-3.6534825529488007635e-05j'), np.clongdouble('0.99626519639541434375-6.422911844203803823e-05j'), np.clongdouble('0.99623385015822754065+2.3149480860357742999e-05j'), np.clongdouble('0.9961892144304153315+6.560768009955576077e-05j'), np.clongdouble('0.9962246568727772671-2.5964162497466950213e-05j'), np.clongdouble('0.99626009837017342596-4.8279994186589104795e-05j'), np.clongdouble('0.99629931680283423135-1.3534127293081434021e-05j'), np.clongdouble('0.99629593352556397443+4.588297250658444742e-05j'), np.clongdouble('0.99623343877384825664-8.7919726668086578845e-05j'), np.clongdouble('0.9962711030168012088-3.8166581920717768554e-05j'), np.clongdouble('0.99627039347458834896-5.209520548629751398e-05j'), np.clongdouble('0.9962465358182187483+2.6483770537858168169e-05j'), np.clongdouble('0.9963137252851575618-2.9677778607339455406e-05j'), np.clongdouble('0.99620518854332319454+8.999391447891646516e-05j'), np.clongdouble('0.9962439232166218975-5.2932601148775900372e-05j'), np.clongdouble('0.99627604761705748746+2.6607920072486234328e-05j'), np.clongdouble('0.99625910752408418776-4.726285379859538318e-05j'), np.clongdouble('0.9962572300528900116+5.2831618978842055156e-05j'), np.clongdouble('0.99623863408077837115-3.608626499917029239e-05j'), np.clongdouble('0.9962510966692074104-5.0045448556458724437e-05j'), np.clongdouble('0.9962532882951902971-4.0389569275788375274e-05j'), np.clongdouble('0.9962924640063082664+8.210001996212095711e-06j'), np.clongdouble('0.9962868066663078633-1.5032559297750357358e-05j'), np.clongdouble('0.9962131827910160104-6.689962785030029354e-05j'), np.clongdouble('0.9962484630958981852+2.9114477795110870288e-05j'), np.clongdouble('0.99633201943644426673+1.3468420890836792634e-05j'), np.clongdouble('0.9962133659049134843-8.289116675831675262e-05j'), np.clongdouble('0.99623411109602487206+2.1961517777406922968e-05j'), np.clongdouble('0.99618557997427350565-8.6097398488205845417e-05j'), np.clongdouble('0.9962060334863248971-0.000101917416144905552306j'), np.clongdouble('0.9962322241383354054-0.00010936243807504010091j'), np.clongdouble('0.9962588838332585788-7.1846225665364483504e-06j'), np.clongdouble('0.99628458627169927836-6.1129044876968644853e-06j'), np.clongdouble('0.99620867241041934824+7.7370396811359201835e-05j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.33332498691635787), np.float64(0.3381263780521567), np.float64(0.3379034170830282), np.float64(0.3240027534125855), np.float64(0.2957024991124431), np.float64(0.26227744418938587), np.float64(0.2558328851504101), np.float64(0.2968119441869526), np.float64(0.3745775277336487), np.float64(0.3756709104529336), np.float64(0.37609922049365196), np.float64(0.37723824173697773), np.float64(0.4548583738659382), np.float64(0.4878079606289438), np.float64(0.4884884111117489), np.float64(0.5200233015126844), np.float64(0.6597577621315956), np.float64(0.660037029977862), np.float64(0.6600459535176626), np.float64(0.6612830793130747), np.float64(0.8688452658299598), np.float64(0.8969341837024256), np.float64(0.8980670871842246), np.float64(0.898219353965056), np.float64(0.9013929567936833), np.float64(0.9023753228087502), np.float64(0.9023757461012214), np.float64(0.902354401074582), np.float64(0.902549628622078), np.float64(0.9325180651260304), np.float64(0.9930560588464994), np.float64(0.993036022046968), np.float64(0.9930987830463925), np.float64(0.9931683597127176), np.float64(0.9955112466772643), np.float64(0.9959831578984586), np.float64(0.9959717262225439), np.float64(0.9959461097056573), np.float64(0.9959617249553876), np.float64(0.9960352509182796), np.float64(0.9961270795623512), np.float64(0.9961007227130715), np.float64(0.9960971463373675), np.float64(0.9972632709388017), np.float64(0.9992294164216616), np.float64(0.9993209974467372), np.float64(0.9993358626185812), np.float64(0.999333141485323), np.float64(0.9993234930441431), np.float64(0.9992969572636818), np.float64(0.9992734517257397), np.float64(0.9992539452566573), np.float64(0.9992974126205846), np.float64(0.9992722718804979), np.float64(0.9993095666715467), np.float64(0.9993485366584604), np.float64(0.999321979127988), np.float64(0.9993563309929265), np.float64(0.999330287720944), np.float64(0.999346357908789), np.float64(0.9993197984759427), np.float64(0.9992932520537984), np.float64(0.99926672300469), np.float64(0.9992401866002104), np.float64(0.9992141201475375), np.float64(0.9991875821850584), np.float64(0.9991620225068871), np.float64(0.9991933842304196), np.float64(0.9991668437950706), np.float64(0.9991404652181286), np.float64(0.9991785173892769), np.float64(0.9992179177112649), np.float64(0.9992540153329411), np.float64(0.9992304129887314), np.float64(0.9992051398289057), np.float64(0.9991785980106115), np.float64(0.9991520560751042), np.float64(0.9991263665126825), np.float64(0.999168465853615), np.float64(0.9991471415318159), np.float64(0.9991205933051487), np.float64(0.999161764972771), np.float64(0.9991356003381182), np.float64(0.9991264107990793), np.float64(0.9990998623996847), np.float64(0.9991370286403584), np.float64(0.9991226998984568), np.float64(0.9991012095779981), np.float64(0.9990746724857923), np.float64(0.9990490192447217), np.float64(0.9990897098470501), np.float64(0.9990820597292304), np.float64(0.9990567573187227), np.float64(0.9990302373774681), np.float64(0.9990037200369928), np.float64(0.9990455586161092), np.float64(0.9990406852772447), np.float64(0.9990345232418155), np.float64(0.9990677912121804), np.float64(0.9990444576349056)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 4:\n",
      "Portas: 0.9995866614034248\n",
      "Estados: (1.0005976037588273+1.3755041205424018e-05j)\n",
      "Distância: 0.04432724605309125\n",
      " \n",
      "Tempo: 5\n",
      "Começará a função principal\n",
      "Tempo de parada: 100\n",
      "O rho gerado foi: [[np.float64(0.9856886802413087), np.complex128(-0.007529922428193355-0.15330296027376228j)], [np.complex128(-0.007529922428193355+0.15330296027376228j), np.float64(0.014311319758691321)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.4313345123155291308+0.00013908235269512652136j'), np.clongdouble('0.43155642127803657004+4.866189095279522314e-05j'), np.clongdouble('0.431258499025235044+0.00019635756581917246725j'), np.clongdouble('0.4312171921936060285+0.00024044481304078285095j'), np.clongdouble('0.43118272758133932543+0.00019300446487415716849j'), np.clongdouble('0.43130172635401665629-0.00011338669234853674502j'), np.clongdouble('0.431485942409710419-0.00022846684253169958311j'), np.clongdouble('0.47599722968891552944-0.0003074132136169510898j'), np.clongdouble('0.47607115787082938127-5.956370249466319728e-05j'), np.clongdouble('0.47604081244205777656+0.00015189151081462877228j'), np.clongdouble('0.62623152856636508294+2.2938744571264337364e-05j'), np.clongdouble('0.62609018796883206736+0.00024635835059313454898j'), np.clongdouble('0.6262464630923950236+4.6388807634123778697e-05j'), np.clongdouble('0.6263803875282039471+2.9854195871602762746e-06j'), np.clongdouble('0.6260510921751563235-0.00014459868350498154699j'), np.clongdouble('0.62601111532758130614+0.00018200076549572125321j'), np.clongdouble('0.7966749639526486183-0.00015378463309977809647j'), np.clongdouble('0.7970618026597626014-0.00029339498560210230946j'), np.clongdouble('0.7972431380005486405-0.00010679037010664766261j'), np.clongdouble('0.7971686580626279403-0.00016480582387633593853j'), np.clongdouble('0.7973673757044909743-0.00010080092981272923333j'), np.clongdouble('0.7903699306177527364+0.00016145091971446718915j'), np.clongdouble('0.7854309431268765195-0.00018518394010602586056j'), np.clongdouble('0.92389654272613118137+0.0001786556166525509712j'), np.clongdouble('0.9238752535692508355-0.00021822383841148774515j'), np.clongdouble('0.9239696713042195226-0.00018124712764150086017j'), np.clongdouble('0.9242922137211682804-0.00018469981764064148709j'), np.clongdouble('0.9848059648697125923+9.741998326134504134e-05j'), np.clongdouble('0.9847836832574465936-0.000109268346639666241446j'), np.clongdouble('0.9848526899929077387-4.873594063372393201e-05j'), np.clongdouble('0.98487262952199227674+0.00016800967891589103744j'), np.clongdouble('0.98486771990380441203+8.1093011545089290776e-05j'), np.clongdouble('0.9848978067745659604+7.430817365347324847e-05j'), np.clongdouble('0.98492839700575608394+0.00010724989708316166424j'), np.clongdouble('0.9848996220299123561+0.00012065902466367569313j'), np.clongdouble('0.9849765270127608878-7.49908065068970338e-05j'), np.clongdouble('0.9850144903969080094-6.7861555389793573795e-05j'), np.clongdouble('0.9850272560424225797-0.00012802016873663035915j'), np.clongdouble('0.9850692498344696198-3.3976367053476617748e-07j'), np.clongdouble('0.9850296919916266652-9.871442090128668097e-05j'), np.clongdouble('0.98508679202425628946+8.56856208827721227e-05j'), np.clongdouble('0.98503478455498509256+0.00014126777855302671911j'), 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np.clongdouble('0.98584715648755111576+6.2827947115770688206e-06j'), np.clongdouble('0.98572020159141672844+9.063808936947732224e-05j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.3333249844010967), np.float64(0.344864999986483), np.float64(0.3448537475071456), np.float64(0.3447124498726408), np.float64(0.3446229459515308), np.float64(0.3445810988762343), np.float64(0.34436734114542317), np.float64(0.30835752641624375), np.float64(0.2901172831527255), np.float64(0.2652008758263508), np.float64(0.2721743453155704), np.float64(0.27217467345249063), np.float64(0.2722230951779231), np.float64(0.27249574342547705), np.float64(0.2724880910463399), np.float64(0.32288919787572057), np.float64(0.4488966179981361), np.float64(0.4493707322803258), np.float64(0.4499379028846251), np.float64(0.4508900552871505), np.float64(0.5824416999419101), np.float64(0.599292543563939), np.float64(0.6004527636588858), np.float64(0.8159196409605373), np.float64(0.8615379927777916), np.float64(0.8615191192254995), np.float64(0.8621284143480826), np.float64(0.9772242196045329), np.float64(0.9930989353445637), np.float64(0.9954914286465733), np.float64(0.9958235752953013), np.float64(0.9958560591165919), np.float64(0.9964552913643132), np.float64(0.9966051850050723), np.float64(0.9971216184573034), np.float64(0.9971558008411291), np.float64(0.9974897862488961), np.float64(0.9976375347957163), np.float64(0.9976544283152161), np.float64(0.9976359801499427), np.float64(0.997784119897732), np.float64(0.9977595708581547), np.float64(0.997889881987334), np.float64(0.9978682194609858), np.float64(0.9978420826970865), np.float64(0.997862352132334), np.float64(0.9978370995997699), np.float64(0.9978111288222345), np.float64(0.9977848026922477), np.float64(0.9977597952444003), np.float64(0.9977337542519639), np.float64(0.9977304819133596), np.float64(0.9977711566388839), np.float64(0.9978430048712226), np.float64(0.9978189364757456), np.float64(0.997792851430589), np.float64(0.9979363873743011), np.float64(0.9979102821151294), np.float64(0.9978844434310291), np.float64(0.998012782736279), np.float64(0.9981008470458478), np.float64(0.9981863797557348), np.float64(0.9981599014376136), np.float64(0.9981334401075538), np.float64(0.9981106492978631), np.float64(0.9980998236537207), np.float64(0.9980734099854396), np.float64(0.998121037672813), np.float64(0.9980974316348675), np.float64(0.9981171207122724), np.float64(0.9982507092994822), np.float64(0.9983876008181962), np.float64(0.998361295698667), np.float64(0.9983815782508767), np.float64(0.9983552608334012), np.float64(0.9983288330148158), np.float64(0.9983022399341527), np.float64(0.9983131529766446), np.float64(0.9984503260343218), np.float64(0.9984973988826171), np.float64(0.9986025860140487), np.float64(0.9985841826209695), np.float64(0.9985578544008963), np.float64(0.9985550825665713), np.float64(0.998659369762939), np.float64(0.9986384371051941), np.float64(0.9987570286306462), np.float64(0.9987310791430003), np.float64(0.9987101307811274), np.float64(0.99868400529017), np.float64(0.9986565121605614), np.float64(0.9986309182681117), np.float64(0.9986708043842188), np.float64(0.9987879490203752), np.float64(0.9987617497590966), np.float64(0.998735493556118), np.float64(0.9987809095191276), np.float64(0.9987555547468281), np.float64(0.9987482673057242), np.float64(0.9987224053324809)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 5:\n",
      "Portas: 0.999413810189236\n",
      "Estados: (0.9976221233253452+2.9131650838234678e-05j)\n",
      "Distância: 0.0740216986787613\n",
      " \n",
      "Tempo: 6\n",
      "Começará a função principal\n",
      "Tempo de parada: 38\n",
      "O rho gerado foi: [[np.float64(0.999514269469569), np.complex128(0.018283194737990657-0.03536607365430432j)], [np.complex128(0.018283194737990657+0.03536607365430432j), np.float64(0.00048573053043099446)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.50014465186685759925+0j'), np.clongdouble('0.50009077036937682557-5.0162697325997195927e-08j'), np.clongdouble('0.49961525902483658372+0.00029022101029946109244j'), np.clongdouble('0.49964240659745116555-4.5420622264326903567e-06j'), np.clongdouble('0.51407439809481342605+0.00021013174695526642796j'), np.clongdouble('0.52683972458163017997+1.7523046610117942043e-06j'), np.clongdouble('0.52653930578815853514-0.0002072298142207057695j'), np.clongdouble('0.6934546894009037479+8.434969733641511478e-06j'), np.clongdouble('0.81818266089440460617+9.0669733614227317464e-06j'), np.clongdouble('0.8329016375696232399-0.00018980735100819772776j'), np.clongdouble('0.81704706888474136587-0.00020979867574205340243j'), np.clongdouble('0.8173359296881088607+2.4985064413353877126e-05j'), np.clongdouble('0.92304983905765306684-0.0002304899887453527618j'), np.clongdouble('0.92303815189176811553-0.00014049051488586565283j'), np.clongdouble('0.95304875882750854577-1.9686950164519620332e-05j'), np.clongdouble('0.95305057760294370527+4.1581417066026728213e-06j'), np.clongdouble('0.9814936541569326542+4.1141139297116713025e-06j'), np.clongdouble('0.98137306714641077285-8.5259065895323208436e-05j'), np.clongdouble('0.98138422696830787515-8.331025038262915538e-05j'), np.clongdouble('0.9813590109520901-9.084163615820977149e-05j'), np.clongdouble('0.98430631477221736505-3.2206820862329940998e-05j'), np.clongdouble('0.9843292528380576183-8.418814630032347025e-07j'), np.clongdouble('0.9830909215175670738-1.11858148334609232173e-07j'), np.clongdouble('0.98304325223607853844+2.6650989422546070357e-06j'), np.clongdouble('0.9830415841710338245+2.9846703542209429689e-05j'), np.clongdouble('0.98315853412186676475+8.9064890658863433756e-05j'), np.clongdouble('0.9832413860996721224+1.760941700166992048e-05j'), np.clongdouble('0.9862447677922250763-1.3744265429291250697e-06j'), np.clongdouble('0.98625590812091606827-4.3612959976501614698e-06j'), np.clongdouble('0.98615283609933636637-0.000121222778153327360024j'), np.clongdouble('0.98621851674505468577+1.34511853863611698884e-05j'), np.clongdouble('0.98614821219928886745-8.7410733129562304e-05j'), np.clongdouble('0.99638757451113417533+4.4896933423703553426e-05j'), np.clongdouble('0.9964361264199256849+1.3686435306144747067e-05j'), np.clongdouble('0.99958472334214002977+4.718435718834375135e-06j'), np.clongdouble('0.9995474773898832697-4.610854420831476707e-05j'), np.clongdouble('0.99955627422587450847+5.8644526295567391263e-06j'), np.clongdouble('0.99954713725118362835+1.9577540809489953004e-05j'), np.clongdouble('0.99955727117852448497-4.6946366980000119703e-06j'), np.clongdouble('0.99955727117852448497-4.6946366980000119703e-06j'), np.clongdouble('0.99955727117852448497-4.6946366980000119703e-06j'), np.clongdouble('0.99955727117852448497-4.6946366980000119703e-06j'), 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np.clongdouble('0.99955727117852448497-4.6946366980000119703e-06j'), np.clongdouble('0.99955727117852448497-4.6946366980000119703e-06j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.33018918826190863), np.float64(0.33015809027725307), np.float64(0.32739400361720095), np.float64(0.3273525158387424), np.float64(0.30085179427263414), np.float64(0.26862982649448636), np.float64(0.26862399225729405), np.float64(0.2587493033672941), np.float64(0.2545583750962384), np.float64(0.2541097156739119), np.float64(0.2507359826879338), np.float64(0.2507291744237364), np.float64(0.25573400290005643), np.float64(0.3300091575943139), np.float64(0.34077105202812913), np.float64(0.34232446088088087), np.float64(0.353323029297437), np.float64(0.539066414180576), np.float64(0.540690388387525), np.float64(0.5423651344662823), np.float64(0.5509516512897343), np.float64(0.5555457867333536), np.float64(0.5578692463605422), np.float64(0.777226923601891), np.float64(0.9049497797629437), np.float64(0.905434846666048), np.float64(0.9306779914463538), np.float64(0.9386017753123297), np.float64(0.9385780197161515), np.float64(0.93855757867816), np.float64(0.9524024760468776), np.float64(0.9523862325194293), np.float64(0.9714029664407909), np.float64(0.9713892196082933), np.float64(0.9771880566535156), np.float64(0.987433109976049), np.float64(0.9951316794830024), np.float64(0.9994210320225161), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505), np.float64(0.9999932606098505)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 6:\n",
      "Portas: 0.9995103852593384\n",
      "Estados: (0.9979446479675418+2.349393624886223e-05j)\n",
      "Distância: 0.06393052073832445\n",
      " \n",
      "Tempo: 7\n",
      "Começará a função principal\n",
      "Tempo de parada: 100\n",
      "O rho gerado foi: [[np.float64(1.0036525564367698), np.complex128(0.0007073752414304552-0.00030074838397644595j)], [np.complex128(0.0007073752414304552+0.00030074838397644595j), np.float64(-0.0036525564367696495)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.50020528586914731985-6.8705645023835011786e-16j'), np.clongdouble('0.51156542245250147597+0.0003587699416838553868j'), np.clongdouble('0.5117062820646360435-0.00025810028516361977492j'), np.clongdouble('0.5117361142233525933-0.00020592664960533531507j'), np.clongdouble('0.5118939792715108385-2.6232840575847397357e-05j'), np.clongdouble('0.57427290667428365775-0.00022932212747656226254j'), np.clongdouble('0.62542967091026217526-1.620120886957499513e-05j'), np.clongdouble('0.723823697126930985+3.9071963321553959742e-05j'), np.clongdouble('0.7472441959163776344-1.2534678203696336123e-05j'), np.clongdouble('0.7319865138022590148+2.3237697737900377343e-05j'), np.clongdouble('0.73186293170782438724-0.00012771353320169464322j'), np.clongdouble('0.73190671106162507323+0.00029989474773313045556j'), np.clongdouble('0.73227839383086979353+0.00021628761323897836325j'), np.clongdouble('0.7324525897801725549+1.2332748123910051691e-05j'), 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np.clongdouble('0.99726406906150489657-6.0881377594203727726e-05j'), np.clongdouble('0.99912795492671766813+1.4932309085797243722e-06j'), np.clongdouble('0.9998143914585840988-6.8245412170280487574e-06j'), np.clongdouble('0.99977962066593197184+2.1098641219725209508e-06j'), np.clongdouble('0.99972749899505383123-3.422681719079064352e-08j'), np.clongdouble('0.99966852698216430724+1.2792627847958835941e-06j'), np.clongdouble('1.0019941818687348576-7.660582284757613261e-06j'), np.clongdouble('1.0019846242189596907-2.8061931546550000146e-05j'), np.clongdouble('1.0020782144395869635+2.567225281329684867e-06j'), np.clongdouble('1.0020545255177539138-4.8045906502363601036e-06j'), np.clongdouble('1.0020614633646609799-6.6316780844166869012e-09j'), np.clongdouble('1.0020514034358427735-1.3443498261558341135e-06j'), np.clongdouble('1.002008916243057497+1.080128439617109154e-05j'), np.clongdouble('1.0034091853095719652+1.3498073550565544259e-06j'), np.clongdouble('1.0033792842419276533-1.597632047603387809e-05j'), np.clongdouble('1.0033965918475802037+1.0922972950194319928e-06j'), np.clongdouble('1.0034179501840039515-5.399292245222018875e-06j'), np.clongdouble('1.0034397717349523563+3.851731688322138331e-06j'), np.clongdouble('1.0034408593452041214+6.141422398402459699e-07j'), np.clongdouble('1.0034210725616204886-1.8722407542486942144e-06j'), np.clongdouble('1.0035973218025100433+2.0745323431470913535e-09j'), np.clongdouble('1.0035872808342930659-2.1988492737359776885e-06j'), np.clongdouble('1.0037306760476169005+3.879964406207415843e-10j'), np.clongdouble('1.0037232752973978898-1.9500273574866202745e-06j'), np.clongdouble('1.0037175462401735079+4.4006758902616426692e-07j'), np.clongdouble('1.0037021435987011315-1.561131441938221514e-07j'), np.clongdouble('1.0036758804595603453-2.1640238052644181485e-05j'), np.clongdouble('1.0036804968293361496-2.3518246627352294045e-06j'), np.clongdouble('1.0036636460408304749-5.9094005666469126696e-07j'), np.clongdouble('1.0036689060237426714-1.5630233084402076334e-06j'), np.clongdouble('1.003876840498834851+4.8426754857320111623e-08j'), np.clongdouble('1.0039694050967759467+6.8214341177847579924e-07j'), np.clongdouble('1.0039722983880841399+5.6555465048439589764e-06j'), np.clongdouble('1.0039700460382930198+2.1951911843116323429e-07j'), np.clongdouble('1.0039600508928349554-2.1183013481674931234e-11j'), np.clongdouble('1.003998372895036083+4.7610522596820774066e-06j'), np.clongdouble('1.0040025704837095955-2.0559994593625444592e-07j'), np.clongdouble('1.0039899248948238195+1.572333409811123203e-06j'), np.clongdouble('1.0039803180365860516-2.4649850840967355722e-06j'), np.clongdouble('1.0039720426637373816-5.851638940471745068e-07j'), np.clongdouble('1.0039652907454303108+3.3474148261440564547e-08j'), np.clongdouble('1.0039540532211313127-1.449658071211557036e-06j'), np.clongdouble('1.0039439600099890554-1.2887658074909705347e-06j'), np.clongdouble('1.0039347187989406227-1.1853508632983188102e-07j'), np.clongdouble('1.0039248763002281149-2.2236992510275555048e-08j'), np.clongdouble('1.0039136284272144262-1.6564741347141941126e-06j'), np.clongdouble('1.0039038262093925341-3.6981315618879630538e-07j'), np.clongdouble('1.0038944395618582962-6.4875981647267746095e-07j'), np.clongdouble('1.0038852667432426187-1.18557904063883237856e-07j'), np.clongdouble('1.0038742787570694085+1.3396182939674623133e-06j'), np.clongdouble('1.0038644534229496416+2.0875828776240683122e-07j'), np.clongdouble('1.0038542381497142533-9.5137161125979030256e-07j'), np.clongdouble('1.0038434632073090584-4.4689665922363161185e-07j'), np.clongdouble('1.0038331502352117235-7.30095923991229348e-07j'), np.clongdouble('1.003825037887684762-1.5952162175410356213e-09j'), np.clongdouble('1.0038135024111412379-8.38122469455866264e-08j'), np.clongdouble('1.0038042298358166366-5.964946777874647118e-08j'), np.clongdouble('1.0037935360084897883-3.424677246356296861e-07j'), np.clongdouble('1.0037838154679113567+1.2457940136804996805e-07j'), np.clongdouble('1.003773713188542317+8.381030089337601176e-08j'), np.clongdouble('1.0037629936256088937+4.786618169210483431e-07j'), np.clongdouble('1.0037533630935733846-2.980035504480403641e-08j'), np.clongdouble('1.0037436859572173602-1.19188052328529405814e-07j'), np.clongdouble('1.0037332483346390375+6.7560675875095860013e-07j'), np.clongdouble('1.0037231816413336874-7.8463507946285755435e-08j'), np.clongdouble('1.0037126735534440705-1.0541184025172901129e-06j'), np.clongdouble('1.0037034926042529764+4.705968993231177989e-08j'), np.clongdouble('1.0036935535946265218+5.7056788796213385817e-07j'), np.clongdouble('1.0036835522564201491+6.489562183393557867e-08j'), np.clongdouble('1.0036728723381860257+4.2501415925747675432e-07j'), np.clongdouble('1.0036632551325938975-2.9842353819649776326e-08j'), np.clongdouble('1.0036527273736600535-7.981980494466050656e-07j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.3305049750523618), np.float64(0.3255886095746873), np.float64(0.3169336537584959), np.float64(0.31676528107468394), np.float64(0.3167596811408891), np.float64(0.2849813578579255), np.float64(0.25723002182680216), np.float64(0.25694635323900794), np.float64(0.2539538389866259), np.float64(0.26931672711501625), np.float64(0.33941659846794225), np.float64(0.4329060728732162), np.float64(0.4334735638472438), np.float64(0.4335492820643649), np.float64(0.5018849142889238), np.float64(0.5158534539690895), np.float64(0.5177131963800589), np.float64(0.5880912359302201), np.float64(0.5987500556701842), np.float64(0.6064685277853038), np.float64(0.6064564994508183), np.float64(0.6262625976299931), np.float64(0.6272784199774727), np.float64(0.6563294703639114), np.float64(0.6785503695913896), np.float64(0.6785323407614898), np.float64(0.8527054784889628), np.float64(0.8527180926697252), np.float64(0.867579791675711), np.float64(0.8720574645737077), np.float64(0.8744968521181592), np.float64(0.8744864740802692), np.float64(0.8752232278675643), np.float64(0.875500918180418), np.float64(0.87957506024099), np.float64(0.87957808071296), np.float64(0.8796840938554364), np.float64(0.9484850057865225), np.float64(0.9486518687308099), np.float64(0.9609943119830463), np.float64(0.9610565346006202), np.float64(0.9636259749599697), np.float64(0.9636511546434243), np.float64(0.996017441260363), np.float64(0.9960899552928634), np.float64(0.9961399346059091), np.float64(0.9961257491702277), np.float64(0.9961363045730088), np.float64(0.9964469307983822), np.float64(0.9964370808626549), np.float64(0.9967248302382096), np.float64(0.9967043196898814), np.float64(0.9966791043703548), np.float64(0.9966524855859679), np.float64(0.9966260946771666), np.float64(0.9965995251865986), np.float64(0.9965732968285229), np.float64(0.9965466886069202), np.float64(0.9969686242387902), np.float64(0.9971363118027359), np.float64(0.9971446793116834), np.float64(0.9971344886064135), np.float64(0.9971305164168086), np.float64(0.9972026468540398), np.float64(0.9971955856207672), np.float64(0.997169312920497), np.float64(0.9971433295960527), np.float64(0.9971192881944694), np.float64(0.9970954835263742), np.float64(0.9970688461766221), np.float64(0.9970430121456326), np.float64(0.9970169163831931), np.float64(0.9969902802703152), np.float64(0.9969637511597261), np.float64(0.9969371230779848), np.float64(0.9969543503842423), np.float64(0.9969736084206312), np.float64(0.9969472053014007), np.float64(0.9969206560214223), np.float64(0.9968940431233674), np.float64(0.9969130436847916), np.float64(0.9972263770032225), np.float64(0.9972441471577387), np.float64(0.9972175118432777), np.float64(0.9971909237792153), np.float64(0.9971642852043671), np.float64(0.9971376479018659), np.float64(0.9971114691095463), np.float64(0.9971070252846648), np.float64(0.9971219961186878), np.float64(0.9970958275177866), np.float64(0.9970691943801159), np.float64(0.997042598703981), np.float64(0.9970280620877898), np.float64(0.997001446155668), np.float64(0.9969810236513421), np.float64(0.996995188765251), np.float64(0.9970121865282572), np.float64(0.9970195554783291), np.float64(0.9970230040475933)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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mT55c6H1ijCn0Xi+Oi733W7durXr16umll15SRkZGoef9+uuvlx376aefVlJSkubPn69XXnlFderUUVRUlMPfPeDPODMDXESTJk10++23q3Xr1vLz89PmzZv16aefasSIEfY+rVu3liSNGjVKERERcnV11X333aeePXuqS5cu+ve//63Dhw/rpptu0ooVK7RkyRKNHj3a/q/X1q1bq1+/fpo1a5ZOnTplvzR73759ki7+r98/8/b2VqdOnTR9+nTl5ubqhhtu0IoVK3To0KEyn5O7775bixcvVp8+fdSjRw8dOnRIc+bMUZMmTYr8H9efVa9eXU888YRiYmJ0991366677tK2bdu0dOnSQmt1nnnmGX300UeKjIzUqFGj5Ofnp/nz5+vQoUP673//KxeXS/877OWXX9bBgwc1atQoLV68WHfffbeqVq2qpKQkLVq0SD/99JPuu+8+SdLUqVO1cuVKdejQQY8++qgqVKigt956S9nZ2Q7frVJWbrzxRnXo0EGPPPKIsrOzNWvWLPn7++upp56y95kxY4YiIyMVFhamYcOG2S/N9vHxKdXtM+rVq6epU6dq3LhxOnz4sHr37q0qVaro0KFD+uyzzzR8+HA98cQTJR7T19dXc+bMUZUqVVS5cmW1a9dOoaGhevfddxUZGammTZtq6NChuuGGG3T06FGtWbNG3t7e+uKLLy467urVq/Xmm29q4sSJatWqlSTZb0sxfvz4q/IzwXXAGZdQAVdbwWW0P/zwQ5H7O3fufNlLs6dOnWratm1rfH19jaenp2nUqJF5/vnnTU5Ojr3P+fPnzciRI0316tWNzWZzuEz77NmzZsyYMaZWrVrGzc3N1K9f38yYMcPhclVjjMnMzDTR0dHGz8/PfglqYmKikeRwqXTBZbi//vproddz5MgR06dPH+Pr62t8fHzMPffcY44dO3bRy7svHCMqKspUrlz5svOUn59vpk2bZkJCQoyHh4e5+eabzZdffmmioqJMSEhIkXP9Z3l5eWby5MmmZs2axtPT09x+++1m165dhebeGGMOHjxo/v73vxtfX19TsWJF07ZtW/Pll19e9hgFzp8/b959913TsWNH4+PjY9zc3ExISIgZOnRoocu2t27daiIiIoyXl5epVKmS6dKli/n+++8d+lzsPVXcOS24NHvGjBnm5ZdfNkFBQcbDw8N07NjR/Pjjj4XqX7VqlWnfvr3x9PQ03t7epmfPnmbPnj3FOnZBrYcOHXJo/+9//2s6dOhgKleubCpXrmwaNWpkoqOjTWJior1PUX83Cl7PhT/jJUuWmCZNmpgKFSoUukx727Ztpm/fvsbf3994eHiYkJAQ079/fxMfH19o7ALp6ekmJCTEtGrVyuTm5jrsGzNmjHFxcTEJCQkXfT7+umzGXKMVagCKbfv27br55pv1wQcfaNCgQc4uB2Xg8OHDCg0N1YwZM0p8FgTApbFmBnCy33//vVDbrFmz5OLiYv/mXQDAxbFmBnCy6dOna8uWLerSpYsqVKigpUuXaunSpRo+fHiZX0kDANcjwgzgZLfddptWrlyp5557ThkZGQoODtakSZP073//29mlAYAlsGYGAABYGmtmAACApRFmAACApV33a2by8/N17NgxValSpVhfQAYAAJzPGKOzZ8+qVq1al/2izOs+zBw7dowrQgAAsKjk5GTVrl37kn2u+zBTcJO/5OTkMr/HCgAAuDrS09MVFBTkcLPei7nuw0zBR0ve3t6EGQAALKY4S0RYAAwAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACyNMAMAACytgrMLsLqkpCSdPHnS2WWUSLVq1RQcHOzsMgAAKBOEmSuQlJSkho0aK+v3c84upUQqelZS4k97CTQAgOsCYeYKnDx5Ulm/n5P/3Y/LzT/I2eUUS+6pZJ368mWdPHmSMAMAuC4QZsqAm3+QPAJvdHYZAAD8JbEAGAAAWBphBgAAWBphBgAAWBphBgAAWBphBgAAWJpTw0xeXp7Gjx+v0NBQeXp6ql69enruuedkjLH3McZowoQJqlmzpjw9PRUeHq79+/c7sWoAAFCeODXMvPjii5o9e7beeOMN7d27Vy+++KKmT5+u119/3d5n+vTpeu211zRnzhxt3LhRlStXVkREhLKyspxYOQAAKC+c+j0z33//vXr16qUePXpIkurUqaOPPvpImzZtkvTHWZlZs2bp2WefVa9evSRJ77//vgICAvT555/rvvvuc1rtAACgfHDqmZnbbrtN8fHx2rdvnyTpxx9/1LfffqvIyEhJ0qFDh5SSkqLw8HD7c3x8fNSuXTslJCQUOWZ2drbS09MdNgAAcP1y6pmZZ555Runp6WrUqJFcXV2Vl5en559/XoMGDZIkpaSkSJICAgIcnhcQEGDfd6GYmBhNnjz56hYOAADKDaeemfnkk0/04YcfasGCBdq6davmz5+vl156SfPnzy/1mOPGjVNaWpp9S05OLsOKAQBAeePUMzNPPvmknnnmGfval+bNm+uXX35RTEyMoqKiFBgYKElKTU1VzZo17c9LTU1Vy5YtixzTw8NDHh4eV712AABQPjj1zMy5c+fk4uJYgqurq/Lz8yVJoaGhCgwMVHx8vH1/enq6Nm7cqLCwsGtaKwAAKJ+cemamZ8+eev755xUcHKymTZtq27ZteuWVV/TAAw9Ikmw2m0aPHq2pU6eqfv36Cg0N1fjx41WrVi317t3bmaUDAIBywqlh5vXXX9f48eP16KOP6sSJE6pVq5YeeughTZgwwd7nqaeeUmZmpoYPH64zZ86oQ4cOWrZsmSpWrOjEygEAQHnh1DBTpUoVzZo1S7NmzbpoH5vNpilTpmjKlCnXrjAAAGAZ3JsJAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYGmEGAABYmlPDTJ06dWSz2Qpt0dHRkqSsrCxFR0fL399fXl5e6tevn1JTU51ZMgAAKGecGmZ++OEHHT9+3L6tXLlSknTPPfdIksaMGaMvvvhCixYt0rp163Ts2DH17dvXmSUDAIBypoIzD169enWHxy+88ILq1aunzp07Ky0tTXPnztWCBQvUtWtXSVJcXJwaN26sDRs26NZbb3VGyQAAoJwpN2tmcnJy9MEHH+iBBx6QzWbTli1blJubq/DwcHufRo0aKTg4WAkJCRcdJzs7W+np6Q4bAAC4fpWbMPP555/rzJkzGjJkiCQpJSVF7u7u8vX1degXEBCglJSUi44TExMjHx8f+xYUFHQVqwYAAM5WbsLM3LlzFRkZqVq1al3ROOPGjVNaWpp9S05OLqMKAQBAeeTUNTMFfvnlF61atUqLFy+2twUGBionJ0dnzpxxODuTmpqqwMDAi47l4eEhDw+Pq1kuAAAoR8rFmZm4uDjVqFFDPXr0sLe1bt1abm5uio+Pt7clJiYqKSlJYWFhzigTAACUQ04/M5Ofn6+4uDhFRUWpQoX/X46Pj4+GDRumsWPHys/PT97e3ho5cqTCwsK4kgkAANg5PcysWrVKSUlJeuCBBwrtmzlzplxcXNSvXz9lZ2crIiJCb775phOqBAAA5ZXTw8ydd94pY0yR+ypWrKjY2FjFxsZe46oAAIBVlIs1MwAAAKVFmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJZGmAEAAJbm9DBz9OhR3X///fL395enp6eaN2+uzZs32/cbYzRhwgTVrFlTnp6eCg8P1/79+51YMQAAKE+cGmZOnz6t9u3by83NTUuXLtWePXv08ssvq2rVqvY+06dP12uvvaY5c+Zo48aNqly5siIiIpSVleXEygEAQHlRwZkHf/HFFxUUFKS4uDh7W2hoqP3PxhjNmjVLzz77rHr16iVJev/99xUQEKDPP/9c99133zWvGQAAlC9OPTPzv//9T23atNE999yjGjVq6Oabb9Y777xj33/o0CGlpKQoPDzc3ubj46N27dopISGhyDGzs7OVnp7usAEAgOuXU8PMzz//rNmzZ6t+/fpavny5HnnkEY0aNUrz58+XJKWkpEiSAgICHJ4XEBBg33ehmJgY+fj42LegoKCr+yIAAIBTOTXM5Ofnq1WrVpo2bZpuvvlmDR8+XA8++KDmzJlT6jHHjRuntLQ0+5acnFyGFQMAgPLGqWGmZs2aatKkiUNb48aNlZSUJEkKDAyUJKWmpjr0SU1Nte+7kIeHh7y9vR02AABw/XJqmGnfvr0SExMd2vbt26eQkBBJfywGDgwMVHx8vH1/enq6Nm7cqLCwsGtaKwAAKJ+cejXTmDFjdNttt2natGnq37+/Nm3apLfffltvv/22JMlms2n06NGaOnWq6tevr9DQUI0fP161atVS7969nVk6AAAoJ5waZm655RZ99tlnGjdunKZMmaLQ0FDNmjVLgwYNsvd56qmnlJmZqeHDh+vMmTPq0KGDli1bpooVKzqxcgAAUF44NcxI0t1336277777ovttNpumTJmiKVOmXMOqAACAVTj9dgYAAABXgjADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsjTADAAAsrcKVPHnz5s365JNPlJSUpJycHId9ixcvvqLCAAAAiqPUZ2YWLlyo2267TXv37tVnn32m3Nxc7d69W6tXr5aPj09Z1ggAAHBRpQ4z06ZN08yZM/XFF1/I3d1dr776qn766Sf1799fwcHBxRpj0qRJstlsDlujRo3s+7OyshQdHS1/f395eXmpX79+Sk1NLW3JAADgOlTqMHPw4EH16NFDkuTu7q7MzEzZbDaNGTNGb7/9drHHadq0qY4fP27fvv32W/u+MWPG6IsvvtCiRYu0bt06HTt2TH379i1tyQAA4DpU6jUzVatW1dmzZyVJN9xwg3bt2qXmzZvrzJkzOnfuXPELqFBBgYGBhdrT0tI0d+5cLViwQF27dpUkxcXFqXHjxtqwYYNuvfXW0pYOAACuI6U+M9OpUyetXLlSknTPPffoscce04MPPqgBAwaoW7duxR5n//79qlWrlurWratBgwYpKSlJkrRlyxbl5uYqPDzc3rdRo0YKDg5WQkJCacsGAADXmVKfmXnjjTeUlZUlSfr3v/8tNzc3ff/99+rXr5+effbZYo3Rrl07zZs3Tw0bNtTx48c1efJkdezYUbt27VJKSorc3d3l6+vr8JyAgAClpKRcdMzs7GxlZ2fbH6enp5f8xQEAAMsodZjx8/Oz/9nFxUXPPPNMiceIjIy0/7lFixZq166dQkJC9Mknn8jT07NUdcXExGjy5Mmlei4AALCeEn3M9OezHOnp6ZfcSsPX11cNGjTQgQMHFBgYqJycHJ05c8ahT2pqapFrbAqMGzdOaWlp9i05OblUtQAAAGsoUZipWrWqTpw4IemP4FG1atVCW0F7aWRkZOjgwYOqWbOmWrduLTc3N8XHx9v3JyYmKikpSWFhYRcdw8PDQ97e3g4bAAC4fpXoY6bVq1fbP15as2bNFR/8iSeeUM+ePRUSEqJjx45p4sSJcnV11YABA+Tj46Nhw4Zp7Nix8vPzk7e3t0aOHKmwsDCuZAIAAHYlCjOdO3cu8s+ldeTIEQ0YMECnTp1S9erV1aFDB23YsEHVq1eXJM2cOVMuLi7q16+fsrOzFRERoTfffPOKjwsAAK4fpV4AHBcXJy8vL91zzz0O7YsWLdK5c+cUFRV12TEWLlx4yf0VK1ZUbGysYmNjS1smAAC4zpX6e2ZiYmJUrVq1Qu01atTQtGnTrqgoAACA4ip1mElKSlJoaGih9pCQEPsX3wEAAFxtpQ4zNWrU0I4dOwq1//jjj/L397+iogAAAIqr1GFmwIABGjVqlNasWaO8vDzl5eVp9erVeuyxx3TfffeVZY0AAAAXVeoFwM8995wOHz6sbt26qUKFP4bJz8/X4MGDWTMDAACumVKHGXd3d3388cd67rnn9OOPP8rT01PNmzdXSEhIWdYHAABwSaUOMwUaNGigBg0alEUtAAAAJVbqMJOXl6d58+YpPj5eJ06cUH5+vsP+1atXX3FxAAAAl1PqMPPYY49p3rx56tGjh5o1ayabzVaWdQEAABRLqcPMwoUL9cknn+iuu+4qy3oAAABKpNSXZru7u+vGG28sy1oAAABKrNRh5vHHH9err74qY0xZ1gMAAFAipf6Y6dtvv9WaNWu0dOlSNW3aVG5ubg77Fy9efMXFAQAAXE6pw4yvr6/69OlTlrUAAACUWKnDTFxcXFnWAQAAUCqlXjMjSefPn9eqVav01ltv6ezZs5KkY8eOKSMjo0yKAwAAuJwSn5nJz8+Xi4uLfvnlF3Xv3l1JSUnKzs7WHXfcoSpVqujFF19Udna25syZczXqBQAAcFCiMzM7d+5Up06dJP3xpXlt2rTR6dOn5enpae/Tp08fxcfHl22VAAAAF1HsMzOffvqppkyZog8++ECS9M033+j777+Xu7u7Q786dero6NGjZVslAADARRT7zEx+fr7y8vLsty0oeHyhI0eOqEqVKmVXIQAAwCUUO8z0799f//nPfzR8+HBJ0h133KFZs2bZ99tsNmVkZGjixInc4gAAAFwzJVoA3KpVK33zzTeSpFdeeUURERFq0qSJsrKyNHDgQO3fv1/VqlXTRx99dFWKBQAAuFCJr2aqUOGPp9SuXVs//vijFi5cqB07digjI0PDhg3ToEGDHBYEAwAAXE2l/tI86Y9gc//995dVLQAAACVW6jDz/vvvX3L/4MGDSzs0AABAsZU6zDz22GMOj3Nzc3Xu3Dm5u7urUqVKhBkAAHBNlPp2BqdPn3bYMjIylJiYqA4dOrAAGAAAXDNXdG+mC9WvX18vvPBCobM2AAAAV0uZhhnpj0XBx44dK+thAQAAilTqNTP/+9//HB4bY3T8+HG98cYbat++/RUXBgAAUBylDjO9e/d2eGyz2VS9enV17dpVL7/88pXWBQAAUCylDjP5+fllWQcAAECplPmamSvxwgsvyGazafTo0fa2rKwsRUdHy9/fX15eXurXr59SU1OdVyQAAChXSn1mZuzYscXu+8orr1y2zw8//KC33npLLVq0cGgfM2aMvvrqKy1atEg+Pj4aMWKE+vbtq++++67ENQMAgOtPqcPMtm3btG3bNuXm5qphw4aSpH379snV1VWtWrWy97PZbJcdKyMjQ4MGDdI777yjqVOn2tvT0tI0d+5cLViwQF27dpUkxcXFqXHjxtqwYYNuvfXW0pYPAACuE6X+mKlnz57q1KmTjhw5oq1bt2rr1q1KTk5Wly5ddPfdd2vNmjVas2aNVq9efdmxoqOj1aNHD4WHhzu0b9myRbm5uQ7tjRo1UnBwsBISEoocKzs7W+np6Q4bAAC4fpU6zLz88suKiYlR1apV7W1Vq1bV1KlTS3Q108KFC7V161bFxMQU2peSkiJ3d3f5+vo6tAcEBCglJaXI8WJiYuTj42PfgoKCil0LAACwnlKHmfT0dP3666+F2n/99VedPXu2WGMkJyfrscce04cffqiKFSuWthQH48aNU1pamn1LTk4uk3EBAED5VOow06dPHw0dOlSLFy/WkSNHdOTIEf33v//VsGHD1Ldv32KNsWXLFp04cUKtWrVShQoVVKFCBa1bt06vvfaaKlSooICAAOXk5OjMmTMOz0tNTVVgYGCRY3p4eMjb29thAwAA169SLwCeM2eOnnjiCQ0cOFC5ubl/DFahgoYNG6YZM2YUa4xu3bpp586dDm1Dhw5Vo0aN9PTTTysoKEhubm6Kj49Xv379JEmJiYlKSkpSWFhYaUsHAADXkVKHmUqVKunNN9/UjBkzdPDgQUlSvXr1VLly5WKPUaVKFTVr1syhrXLlyvL397e3Dxs2TGPHjpWfn5+8vb01cuRIhYWFcSUTAACQdAVhpsDx48d1/PhxderUSZ6enjLGFOty7OKaOXOmXFxc1K9fP2VnZysiIkJvvvlmmY0PAACsrdRh5tSpU+rfv7/WrFkjm82m/fv3q27duho2bJiqVq1a6vszrV271uFxxYoVFRsbq9jY2NKWCgAArmOlXgA8ZswYubm5KSkpSZUqVbK333vvvVq2bFmZFAcAAHA5pT4zs2LFCi1fvly1a9d2aK9fv75++eWXKy4MAACgOEp9ZiYzM9PhjEyB3377TR4eHldUFAAAQHGVOsx07NhR77//vv2xzWZTfn6+pk+fri5dupRJcQAAAJdT6o+Zpk+frm7dumnz5s3KycnRU089pd27d+u3337jjtYAAOCaKfWZmWbNmmnfvn3q0KGDevXqpczMTPXt21fbtm1TvXr1yrJGAACAiyrVmZnc3Fx1795dc+bM0b///e+yrgkAAKDYSnVmxs3NTTt27CjrWgAAAEqs1B8z3X///Zo7d25Z1gIAAFBipV4AfP78eb333ntatWqVWrduXeieTK+88soVFwcAAHA5JQ4zP//8s+rUqaNdu3apVatWkqR9+/Y59CnLezMBAABcSonDTP369XX8+HGtWbNG0h+3L3jttdcUEBBQ5sUBAABcTonXzBhjHB4vXbpUmZmZZVYQAABASZR6AXCBC8MNAADAtVTiMGOz2QqtiWGNDAAAcJYSr5kxxmjIkCH2m0lmZWXp4YcfLnQ10+LFi8umQgAAgEsocZiJiopyeHz//feXWTEAAAAlVeIwExcXdzXqAAAAKJUrXgAMAADgTIQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaU4NM7Nnz1aLFi3k7e0tb29vhYWFaenSpfb9WVlZio6Olr+/v7y8vNSvXz+lpqY6sWIAAFDeODXM1K5dWy+88IK2bNmizZs3q2vXrurVq5d2794tSRozZoy++OILLVq0SOvWrdOxY8fUt29fZ5YMAADKmQrOPHjPnj0dHj///POaPXu2NmzYoNq1a2vu3LlasGCBunbtKkmKi4tT48aNtWHDBt16663OKBkAAJQz5WbNTF5enhYuXKjMzEyFhYVpy5Ytys3NVXh4uL1Po0aNFBwcrISEhIuOk52drfT0dIcNAABcv5weZnbu3CkvLy95eHjo4Ycf1meffaYmTZooJSVF7u7u8vX1degfEBCglJSUi44XExMjHx8f+xYUFHSVXwEAAHAmp4eZhg0bavv27dq4caMeeeQRRUVFac+ePaUeb9y4cUpLS7NvycnJZVgtAAAob5y6ZkaS3N3ddeONN0qSWrdurR9++EGvvvqq7r33XuXk5OjMmTMOZ2dSU1MVGBh40fE8PDzk4eFxtcsGAADlhNPPzFwoPz9f2dnZat26tdzc3BQfH2/fl5iYqKSkJIWFhTmxQgAAUJ449czMuHHjFBkZqeDgYJ09e1YLFizQ2rVrtXz5cvn4+GjYsGEaO3as/Pz85O3trZEjRyosLIwrmQAAgJ1Tw8yJEyc0ePBgHT9+XD4+PmrRooWWL1+uO+64Q5I0c+ZMubi4qF+/fsrOzlZERITefPNNZ5YMAADKGaeGmblz515yf8WKFRUbG6vY2NhrVBEAALCacrdmBgAAoCQIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNIIMwAAwNKcGmZiYmJ0yy23qEqVKqpRo4Z69+6txMREhz5ZWVmKjo6Wv7+/vLy81K9fP6WmpjqpYgAAUN44NcysW7dO0dHR2rBhg1auXKnc3FzdeeedyszMtPcZM2aMvvjiCy1atEjr1q3TsWPH1LdvXydWDQAAypMKzjz4smXLHB7PmzdPNWrU0JYtW9SpUyelpaVp7ty5WrBggbp27SpJiouLU+PGjbVhwwbdeuutzigbAACUI+VqzUxaWpokyc/PT5K0ZcsW5ebmKjw83N6nUaNGCg4OVkJCQpFjZGdnKz093WEDAADXr3ITZvLz8zV69Gi1b99ezZo1kySlpKTI3d1dvr6+Dn0DAgKUkpJS5DgxMTHy8fGxb0FBQVe7dAAA4ETlJsxER0dr165dWrhw4RWNM27cOKWlpdm35OTkMqoQAACUR05dM1NgxIgR+vLLL7V+/XrVrl3b3h4YGKicnBydOXPG4exMamqqAgMDixzLw8NDHh4eV7tkAABQTjj1zIwxRiNGjNBnn32m1atXKzQ01GF/69at5ebmpvj4eHtbYmKikpKSFBYWdq3LBQAA5ZBTz8xER0drwYIFWrJkiapUqWJfB+Pj4yNPT0/5+Pho2LBhGjt2rPz8/OTt7a2RI0cqLCyMK5kAAIAkJ4eZ2bNnS5Juv/12h/a4uDgNGTJEkjRz5ky5uLioX79+ys7OVkREhN58881rXCkAACivnBpmjDGX7VOxYkXFxsYqNjb2GlQEAACsptxczQQAAFAahBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBphBkAAGBpTg8z69evV8+ePVWrVi3ZbDZ9/vnnDvuNMZowYYJq1qwpT09PhYeHa//+/c4pFgAAlDtODzOZmZm66aabFBsbW+T+6dOn67XXXtOcOXO0ceNGVa5cWREREcrKyrrGlQIAgPKogrMLiIyMVGRkZJH7jDGaNWuWnn32WfXq1UuS9P777ysgIECff/657rvvvmtZKgAAKIecfmbmUg4dOqSUlBSFh4fb23x8fNSuXTslJCQU+Zzs7Gylp6c7bAAA4PpVrsNMSkqKJCkgIMChPSAgwL7vQjExMfLx8bFvQUFBV71OAADgPOU6zJTGuHHjlJaWZt+Sk5OdXRIAALiKynWYCQwMlCSlpqY6tKemptr3XcjDw0Pe3t4OGwAAuH6V6zATGhqqwMBAxcfH29vS09O1ceNGhYWFObEyAABQXjj9aqaMjAwdOHDA/vjQoUPavn27/Pz8FBwcrNGjR2vq1KmqX7++QkNDNX78eNWqVUu9e/d2XtEAAKDccHqY2bx5s7p06WJ/PHbsWElSVFSU5s2bp6eeekqZmZkaPny4zpw5ow4dOmjZsmWqWLGis0oGAADliNPDzO233y5jzEX322w2TZkyRVOmTLmGVQEAAKso12tmAAAALocwAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALI0wAwAALK2CswsAgL+apKQknTx50tlllFi1atUUHBzs7DKAQggzAHANJSUlqWGjxsr6/ZyzSymxip6VlPjTXgINyh3CDABcQydPnlTW7+fkf/fjcvMPcnY5xZZ7KlmnvnxZJ0+eJMyg3CHMAIATuPkHySPwRmeXAVwXCDMAAJQjVlxT5ez1VIQZAADKCauuqXL2eirCDAAA5YQV11SVh/VUhBkAAMoZ1lSVDF+aBwAALI0wAwAALI0wAwAALI0wAwAALI0FwH9Re/fudXYJJeLs7zAoDSt+V0R2drY8PDycXUaJWPG9AaBsEWb+YvIyTks2m+6//35nl1Iizv4Og5Ky6ndFyOYimXxnV1EiVntvACh7hJm/mPzsDMkYvsPgKrPid0X8/vNmpX3zgaVqtuJ7A0DZI8z8RfEdBteGleY591SyJGvVDAASYQYWYqV1Plaq9Xpgpfm2Uq3XA6utXeP9UTqWCTOxsbGaMWOGUlJSdNNNN+n1119X27ZtnV0WrgGrrvPB1cd7A5di2bVrKDFLhJmPP/5YY8eO1Zw5c9SuXTvNmjVLERERSkxMVI0aNZxdHq4yK67zKVh/gquL9wYuxcpr11Aylggzr7zyih588EENHTpUkjRnzhx99dVXeu+99/TMM884uTpcK1Zay1Gw/gTXBu8NXArvj+tfuf/SvJycHG3ZskXh4eH2NhcXF4WHhyshIcGJlQEAgPKg3J+ZOXnypPLy8hQQEODQHhAQoJ9++qlQ/+zsbGVnZ9sfp6WlSZLS09PLvLaMjIw/jplyQPk5WWU+/tVQkPqp+eqi5muDmq+d3N+OSJK2bNli/91X3iUmJkqy1lxb8f1R8N7IyMgo0//XFoxljLl8Z1POHT161Egy33//vUP7k08+adq2bVuo/8SJE40kNjY2NjY2tutgS05OvmxWKPdnZqpVqyZXV1elpqY6tKempiowMLBQ/3Hjxmns2LH2x/n5+frtt9/k7+8vm81WprWlp6crKChIycnJ8vb2LtOxURjzfe0w19cW831tMd/XVmnn2xijs2fPqlatWpftW+7DjLu7u1q3bq34+Hj17t1b0h8BJT4+XiNGjCjU38PDo9C9ZXx9fa9qjd7e3vyFuIaY72uHub62mO9ri/m+tkoz3z4+PsXqV+7DjCSNHTtWUVFRatOmjdq2batZs2YpMzPTfnUTAAD467JEmLn33nv166+/asKECUpJSVHLli21bNmyQouCAQDAX48lwowkjRgxosiPlZzJw8NDEydOLPSxFq4O5vvaYa6vLeb72mK+r61rMd82Y4pzzRMAAED5VO6/NA8AAOBSCDMAAMDSCDMAAMDSCDMAAMDSCDOlFBsbqzp16qhixYpq166dNm3a5OySrguTJk2SzWZz2Bo1amTfn5WVpejoaPn7+8vLy0v9+vUr9O3QuLj169erZ8+eqlWrlmw2mz7//HOH/cYYTZgwQTVr1pSnp6fCw8O1f/9+hz6//fabBg0aJG9vb/n6+mrYsGGWuVfPtXa5+R4yZEih93v37t0d+jDfxRMTE6NbbrlFVapUUY0aNdS7d2/7vZkKFOf3R1JSknr06KFKlSqpRo0aevLJJ3X+/Plr+VIsoTjzffvttxd6fz/88MMOfcpqvgkzpfDxxx9r7NixmjhxorZu3aqbbrpJEREROnHihLNLuy40bdpUx48ft2/ffvutfd+YMWP0xRdfaNGiRVq3bp2OHTumvn37OrFaa8nMzNRNN92k2NjYIvdPnz5dr732mubMmaONGzeqcuXKioiIUFbW/7/h3aBBg7R7926tXLlSX375pdavX6/hw4dfq5dgKZebb0nq3r27w/v9o48+ctjPfBfPunXrFB0drQ0bNmjlypXKzc3VnXfeqczMTHufy/3+yMvLU48ePZSTk6Pvv/9e8+fP17x58zRhwgRnvKRyrTjzLUkPPvigw/t7+vTp9n1lOt9lcjfIv5i2bdua6Oho++O8vDxTq1YtExMT48Sqrg8TJ040N910U5H7zpw5Y9zc3MyiRYvsbXv37jWSTEJCwjWq8PohyXz22Wf2x/n5+SYwMNDMmDHD3nbmzBnj4eFhPvroI2OMMXv27DGSzA8//GDvs3TpUmOz2czRo0evWe1WdOF8G2NMVFSU6dWr10Wfw3yX3okTJ4wks27dOmNM8X5/fP3118bFxcWkpKTY+8yePdt4e3ub7Ozsa/sCLObC+TbGmM6dO5vHHnvsos8py/nmzEwJ5eTkaMuWLQoPD7e3ubi4KDw8XAkJCU6s7Pqxf/9+1apVS3Xr1tWgQYOUlJQkSdqyZYtyc3Md5r5Ro0YKDg5m7svAoUOHlJKS4jC/Pj4+ateunX1+ExIS5OvrqzZt2tj7hIeHy8XFRRs3brzmNV8P1q5dqxo1aqhhw4Z65JFHdOrUKfs+5rv00tLSJEl+fn6Sivf7IyEhQc2bN3f4dvmIiAilp6dr9+7d17B667lwvgt8+OGHqlatmpo1a6Zx48bp3Llz9n1lOd+W+Qbg8uLkyZPKy8srdCuFgIAA/fTTT06q6vrRrl07zZs3Tw0bNtTx48c1efJkdezYUbt27VJKSorc3d0L3Tg0ICBAKSkpzin4OlIwh0W9twv2paSkqEaNGg77K1SoID8/P34GpdC9e3f17dtXoaGhOnjwoP71r38pMjJSCQkJcnV1Zb5LKT8/X6NHj1b79u3VrFkzSSrW74+UlJQi3/8F+1C0ouZbkgYOHKiQkBDVqlVLO3bs0NNPP63ExEQtXrxYUtnON2EG5UpkZKT9zy1atFC7du0UEhKiTz75RJ6enk6sDCh79913n/3PzZs3V4sWLVSvXj2tXbtW3bp1c2Jl1hYdHa1du3Y5rLfD1XOx+f7z2q7mzZurZs2a6tatmw4ePKh69eqVaQ18zFRC1apVk6ura6EV8KmpqQoMDHRSVdcvX19fNWjQQAcOHFBgYKBycnJ05swZhz7MfdkomMNLvbcDAwMLLXQ/f/68fvvtN34GZaBu3bqqVq2aDhw4IIn5Lo0RI0boyy+/1Jo1a1S7dm17e3F+fwQGBhb5/i/Yh8IuNt9FadeunSQ5vL/Lar4JMyXk7u6u1q1bKz4+3t6Wn5+v+Ph4hYWFObGy61NGRoYOHjyomjVrqnXr1nJzc3OY+8TERCUlJTH3ZSA0NFSBgYEO85uenq6NGzfa5zcsLExnzpzRli1b7H1Wr16t/Px8+y8qlN6RI0d06tQp1axZUxLzXRLGGI0YMUKfffaZVq9erdDQUIf9xfn9ERYWpp07dzoEyJUrV8rb21tNmjS5Ni/EIi4330XZvn27JDm8v8tsvku4YBnGmIULFxoPDw8zb948s2fPHjN8+HDj6+vrsCIbpfP444+btWvXmkOHDpnvvvvOhIeHm2rVqpkTJ04YY4x5+OGHTXBwsFm9erXZvHmzCQsLM2FhYU6u2jrOnj1rtm3bZrZt22YkmVdeecVs27bN/PLLL8YYY1544QXj6+trlixZYnbs2GF69eplQkNDze+//24fo3v37ubmm282GzduNN9++62pX7++GTBggLNeUrl2qfk+e/aseeKJJ0xCQoI5dOiQWbVqlWnVqpWpX7++ycrKso/BfBfPI488Ynx8fMzatWvN8ePH7du5c+fsfS73++P8+fOmWbNm5s477zTbt283y5YtM9WrVzfjxo1zxksq1y433wcOHDBTpkwxmzdvNocOHTJLliwxdevWNZ06dbKPUZbzTZgppddff90EBwcbd3d307ZtW7NhwwZnl3RduPfee03NmjWNu7u7ueGGG8y9995rDhw4YN//+++/m0cffdRUrVrVVKpUyfTp08ccP37ciRVby5o1a4ykQltUVJQx5o/Ls8ePH28CAgKMh4eH6datm0lMTHQY49SpU2bAgAHGy8vLeHt7m6FDh5qzZ8864dWUf5ea73Pnzpk777zTVK9e3bi5uZmQkBDz4IMPFvpHEfNdPEXNsyQTFxdn71Oc3x+HDx82kZGRxtPT01SrVs08/vjjJjc39xq/mvLvcvOdlJRkOnXqZPz8/IyHh4e58cYbzZNPPmnS0tIcximr+bb9X1EAAACWxJoZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZAABgaYQZ4C8uJSVFI0eOVN26deXh4aGgoCD17NnT4R42kIYMGaLevXs7uwwARajg7AIAOM/hw4fVvn17+fr6asaMGWrevLlyc3O1fPlyRUdH66effnJ2iQBwWZyZAf7CHn30UdlsNm3atEn9+vVTgwYN1LRpU40dO1YbNmyw90tKSlKvXr3k5eUlb29v9e/fX6mpqfb9kyZNUsuWLfXee+8pODhYXl5eevTRR5WXl6fp06crMDBQNWrU0PPPP+9wfJvNptmzZysyMlKenp6qW7euPv30U4c+O3fuVNeuXeXp6Sl/f38NHz5cGRkZ9v0FZ0xeeukl1axZU/7+/oqOjlZubq69T3Z2tp544gndcMMNqly5stq1a6e1a9fa98+bN0++vr5avny5GjduLC8vL3Xv3l3Hjx+3v7758+dryZIlstlsstls9ucnJyerf//+8vX1lZ+fn3r16qXDhw9fdM6nTJmiWrVq6dSpU/a2Hj16qEuXLsrPz7/8Dw1AYVd+uykAVnTq1Cljs9nMtGnTLtkvLy/PtGzZ0nTo0MFs3rzZbNiwwbRu3dp07tzZ3mfixInGy8vL/P3vfze7d+82//vf/4y7u7uJiIgwI0eOND/99JN57733jCSHm7JKMv7+/uadd94xiYmJ5tlnnzWurq5mz549xhhjMjIyTM2aNU3fvn3Nzp07TXx8vAkNDbXfGNMYY6Kiooy3t7d5+OGHzd69e80XX3xhKlWqZN5++217n3/+85/mtttuM+vXrzcHDhwwM2bMMB4eHmbfvn3GGGPi4uKMm5ubCQ8PNz/88IPZsmWLady4sRk4cKAx5o+7X/fv3990797dfnfg7Oxsk5OTYxo3bmweeOABs2PHDrNnzx4zcOBA07BhQ5OdnV3kfJ4/f96EhYWZ3r17G2OMeeONN4yvr6/9zuUASo4wA/xFbdy40UgyixcvvmS/FStWGFdXV5OUlGRv2717t5FkNm3aZIz5I8xUqlTJpKen2/tERESYOnXqmLy8PHtbw4YNTUxMjP2xJPPwww87HK9du3bmkUceMcYY8/bbb5uqVauajIwM+/6vvvrKuLi42O8uHRUVZUJCQsz58+ftfe655x5z7733GmOM+eWXX4yrq6s5evSow3G6detmxo0bZ4z5I8xIcrhDe2xsrAkICLA/joqKMr169XIY4z//+Y9p2LChyc/Pt7dlZ2cbT09Ps3z58sKT+X8OHjxoqlSpYp5++mnj6elpPvzww4v2BXB5rJkB/qKMMcXqt3fvXgUFBSkoKMje1qRJE/n6+mrv3r265ZZbJEl16tRRlSpV7H0CAgLk6uoqFxcXh7YTJ044jB8WFlbo8fbt2+3Hvummm1S5cmX7/vbt2ys/P1+JiYkKCAiQJDVt2lSurq72PjVr1tTOnTsl/fExVV5enho0aOBwnOzsbPn7+9sfV6pUSfXq1XMY48JaL/Tjjz/qwIEDDq9bkrKysnTw4MGLPq9u3bp66aWX9NBDD+nee+/VwIEDL3kcAJdGmAH+ourXry+bzVZmi3zd3NwcHttstiLbrsa6kEsdJyMjQ66urtqyZYtD4JEkLy+vS45xucCXkZGh1q1b68MPPyy0r3r16pd87vr16+Xq6qrDhw/r/PnzqlCBX8dAabEAGPiL8vPzU0REhGJjY5WZmVlo/5kzZyRJjRs3VnJyspKTk+379uzZozNnzqhJkyZXXMefFxoXPG7cuLH92D/++KNDfd99951cXFzUsGHDYo1/8803Ky8vTydOnNCNN97osAUGBha7Tnd3d+Xl5Tm0tWrVSvv371eNGjUKje3j43PRsT7++GMtXrxYa9euVVJSkp577rli1wGgMMIM8BcWGxurvLw8tW3bVv/973+1f/9+7d27V6+99pr945/w8HA1b95cgwYN0tatW7Vp0yYNHjxYnTt3Vps2ba64hkWLFum9997Tvn37NHHiRG3atEkjRoyQJA0aNEgVK1ZUVFSUdu3apTVr1mjkyJH6xz/+Yf+I6XIaNGigQYMGafDgwVq8eLEOHTqkTZs2KSYmRl999VWx66xTp4527NihxMREnTx5Urm5uRo0aJCqVaumXr166ZtvvtGhQ4e0du1ajRo1SkeOHClynCNHjuiRRx7Riy++qA4dOiguLk7Tpk0rFOoAFB9hBvgLq1u3rrZu3aouXbro8ccfV7NmzXTHHXcoPj5es2fPlvTHxy1LlixR1apV1alTJ4WHh6tu3br6+OOPy6SGyZMna+HChWrRooXef/99ffTRR/YzPpUqVdLy5cv122+/6ZZbbtHf//53devWTW+88UaJjhEXF6fBgwfr8ccfV8OGDdW7d2/98MMPCg4OLvYYDz74oBo2bKg2bdqoevXq+u6771SpUiWtX79ewcHB6tu3rxo3bqxhw4YpKytL3t7ehcYwxmjIkCFq27atPbBFRETokUce0f333+9wyTmA4rOZ4q4CBIAyZrPZ9Nlnn/HNugCuCGdmAACApRFmAACApXEtIACn4VNuAGWBMzMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDSCDMAAMDS/h/RU2gXfA3j7gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 7:\n",
      "Portas: 0.9991550450862319\n",
      "Estados: (0.9987600878827015+2.0023631349103824e-05j)\n",
      "Distância: 0.06250590372682625\n",
      " \n",
      "Tempo: 8\n",
      "Começará a função principal\n",
      "Tempo de parada: 100\n",
      "O rho gerado foi: [[np.float64(0.9980692880152324), np.complex128(-0.0002285977653328054-0.050507434617421826j)], [np.complex128(-0.0002285977653328054+0.050507434617421826j), np.float64(0.0019307119847675192)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.50014465186685759925+0j'), np.clongdouble('0.49967008277188549196-5.0449552999674750813e-08j'), np.clongdouble('0.499087579708982939-0.00014481866225722054798j'), np.clongdouble('0.49882758917699654652-1.0345517363522149061e-14j'), np.clongdouble('0.49851137938170674656+0.00014382364872825472852j'), np.clongdouble('0.5739808869253056771-0.00016281843430846128983j'), np.clongdouble('0.5741426714197041102+9.828552911341114127e-05j'), np.clongdouble('0.57419568783638848806+0.0002105480246542942705j'), np.clongdouble('0.6387029907480020634-0.00021858549614077451947j'), np.clongdouble('0.6573728061886788526+0.00018800647476844811707j'), np.clongdouble('0.6573293548721874209-0.0002818015374636205715j'), np.clongdouble('0.5882286950021054206+0.00023602784925691910209j'), np.clongdouble('0.74548650633193142673+0.00043932180551695380197j'), np.clongdouble('0.75030883804820856174+1.8286490395814256509e-05j'), np.clongdouble('0.75120244963941376707+0.00035181773568777296906j'), np.clongdouble('0.751162712435110698-0.00029891371604006720415j'), np.clongdouble('0.751457300393598548+6.926410081790346784e-05j'), np.clongdouble('0.7517711123525722491+0.00016895918034003536576j'), np.clongdouble('0.75258050956263648+0.00026300432537513062063j'), np.clongdouble('0.7525890589271758505+4.664531309816485523e-06j'), np.clongdouble('0.79293224812397172254-3.122187140472523187e-06j'), np.clongdouble('0.7929412534135678423+4.6330921775264864394e-05j'), np.clongdouble('0.7928322451466962257+0.000100133573718766144086j'), np.clongdouble('0.79229977594181273486-0.00011321408830510478731j'), np.clongdouble('0.7922570730424063349-0.00022038486126800511491j'), np.clongdouble('0.7929519679128920674-7.663436384318116187e-05j'), np.clongdouble('0.79308864534372142536-8.869579915628676049e-05j'), np.clongdouble('0.7931125556418629194-5.794675664795190653e-05j'), np.clongdouble('0.7931043991031410928+3.4045004862255075486e-06j'), np.clongdouble('0.79309787628410605956-0.00021348299008587936427j'), np.clongdouble('0.79334182976781525236-5.02756533260854551e-05j'), np.clongdouble('0.79410989516019981146+0.000121499299139825766314j'), np.clongdouble('0.79399304070920819545-0.00020940692818957066652j'), np.clongdouble('0.9006222289630702497-0.0001255068962138224672j'), np.clongdouble('0.93234812563139401716-7.4568126487749421096e-05j'), np.clongdouble('0.93282406669905556+5.7078461641142915767e-05j'), np.clongdouble('0.93274228966197003714-9.926255198427645941e-05j'), np.clongdouble('0.93270032913629199566+0.000120527716257033687646j'), np.clongdouble('0.9327407461910992422-0.00013997378548149518332j'), np.clongdouble('0.9330084071860171003-4.3343689023263609397e-05j'), np.clongdouble('0.9327148915835314904+0.00026108516024117159302j'), np.clongdouble('0.9328266057830008595-1.1748279449795462912e-05j'), 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      "Veja o log: (Das portas)\n",
      "[np.float64(0.33205172045641146), np.float64(0.33203297429604256), np.float64(0.33201253158253247), np.float64(0.33198871964930143), np.float64(0.3126400605376895), np.float64(0.279531096727262), np.float64(0.2795234968082157), np.float64(0.27913076690958144), np.float64(0.2538436320238055), np.float64(0.2580293466885417), np.float64(0.3060528561026906), np.float64(0.3082060507399855), np.float64(0.43813847258449606), np.float64(0.43957646253998095), np.float64(0.44082003059019303), np.float64(0.4783514978760383), np.float64(0.4783406392104786), np.float64(0.4788625562811563), np.float64(0.4797654523756427), np.float64(0.48024609521788575), np.float64(0.5298809494311181), np.float64(0.532198060587917), np.float64(0.624569437171205), np.float64(0.6257866401263102), np.float64(0.642709937032549), np.float64(0.6451240095275602), np.float64(0.6451100659808514), np.float64(0.6452605772095005), np.float64(0.6452452701797345), np.float64(0.6455811402462813), np.float64(0.645569770395717), np.float64(0.6469326624062917), np.float64(0.6473148339466844), np.float64(0.8170721286405374), np.float64(0.8734338184972236), np.float64(0.8743048192561195), np.float64(0.8743359557141824), np.float64(0.874425248830372), np.float64(0.8744035183782323), np.float64(0.8744871351443572), np.float64(0.874478072985117), np.float64(0.874464360961129), np.float64(0.874789652504585), np.float64(0.8748240182491069), np.float64(0.8829055844551066), np.float64(0.8828835573981273), np.float64(0.8828858588503893), np.float64(0.8830393317662187), np.float64(0.8830187243855837), np.float64(0.8833602629370393), np.float64(0.8833381352031173), np.float64(0.8833178890883229), np.float64(0.8833108001165534), np.float64(0.8832885879480505), np.float64(0.883272464864314), np.float64(0.8836476230092218), np.float64(0.8836302865388999), np.float64(0.8836081312302845), np.float64(0.8836805039560107), np.float64(0.8836583514847408), np.float64(0.883636170418673), np.float64(0.8836139823885301), np.float64(0.8836965325127695), np.float64(0.883801970780393), np.float64(0.8841572280023785), np.float64(0.9184675264198079), np.float64(0.9184544863302767), np.float64(0.9184395320814808), np.float64(0.9184161153460509), np.float64(0.9184692751193658), np.float64(0.9184468279236184), np.float64(0.9184234136813094), np.float64(0.9185010338990501), np.float64(0.9184789883488079), np.float64(0.918457755071541), np.float64(0.9465196742502563), np.float64(0.9896662896099295), np.float64(0.9896415931785022), np.float64(0.9896397768609732), np.float64(0.9896144739534657), np.float64(0.9895888945725687), np.float64(0.9895629337648545), np.float64(0.9895370148989419), np.float64(0.9898323349511325), np.float64(0.9960605235813057), np.float64(0.9960341472896008), np.float64(0.9960076865787711), np.float64(0.9959812272514389), np.float64(0.9989207521635418), np.float64(0.9988941674140449), np.float64(0.9988838928966226), np.float64(0.9988574392225292), np.float64(0.9988308567244134), np.float64(0.9988042752543468), np.float64(0.9987777717577032), np.float64(0.998751196962096), np.float64(0.9987284318786768), np.float64(0.998701945457786), np.float64(0.9986757954760707), np.float64(0.9986645022983288)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 8:\n",
      "Portas: 0.999093727237744\n",
      "Estados: (0.9986775747211132+1.799380334411641e-05j)\n",
      "Distância: 0.05718581777772034\n",
      " \n",
      "Tempo: 9\n",
      "Começará a função principal\n",
      "Tempo de parada: 40\n",
      "O rho gerado foi: [[np.float64(0.9939689713885793), np.complex128(-0.0919447760612218+0.0709472977382434j)], [np.complex128(-0.0919447760612218-0.0709472977382434j), np.float64(0.006031028611420686)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.50014465186685759925+0j'), np.clongdouble('0.42047022155279614015+0.00019788724271051331501j'), np.clongdouble('0.42053118216524522819+0.00012768686944854141069j'), np.clongdouble('0.42040753548128865895-0.0002855473968878781824j'), np.clongdouble('0.42456108099175718823-0.00017874062990502668148j'), np.clongdouble('0.42457026940207111043+9.551990122891669911e-05j'), np.clongdouble('0.42460119979526643022+0.00013964414760316247122j'), np.clongdouble('0.46810841477627934947+9.9097645704353704135e-05j'), np.clongdouble('0.46828546029213945868-0.00019880801673541471123j'), np.clongdouble('0.525331427303312816+6.6046299842500980275e-05j'), np.clongdouble('0.5252770731419276943+0.00021689980988663146585j'), np.clongdouble('0.49554515174252731005+0.00031490329985439350258j'), np.clongdouble('0.4564278918171575478-0.00021482285524268685968j'), np.clongdouble('0.45652595065674783748+0.0002923449666066503102j'), np.clongdouble('0.6531300280175848511-7.5590411055440501616e-05j'), np.clongdouble('0.82530804887886633143-0.00020451617472079553854j'), np.clongdouble('0.82540028153007357763-0.00010671105155726206709j'), np.clongdouble('0.8298187239431823341+2.5897118950775838902e-05j'), np.clongdouble('0.82957454409540911077-0.00022075177054369614371j'), np.clongdouble('0.8295999678760950971+0.0003090123170920182103j'), np.clongdouble('0.82967852244490216936+0.00023007325054878651495j'), np.clongdouble('0.83042509434864089044+4.933754014443261176e-05j'), np.clongdouble('0.8301877644148043565+1.5794217458636075816e-05j'), np.clongdouble('0.83017953010328211446+1.1542632611320331985e-05j'), np.clongdouble('0.8302912451402431385+0.00018396469044355832328j'), np.clongdouble('0.8302284553721763795-0.0001546201538661631626j'), np.clongdouble('0.8646986037130969478-0.000276743369329909878j'), np.clongdouble('0.933389277518992283+5.2635158325341183345e-05j'), np.clongdouble('0.94522520371821833424-2.4075523803310770351e-05j'), np.clongdouble('0.9452732460068012008-7.0365720933200208598e-06j'), np.clongdouble('0.95351411280334542707+0.0001255722316703696878j'), np.clongdouble('0.9780958416421094818-6.8409800095508668687e-05j'), np.clongdouble('0.98520348581012211317-8.9197612397106737715e-05j'), np.clongdouble('0.9884169018916873778+7.057552500495658132e-05j'), np.clongdouble('0.98837113272964412166+1.2516585825595274444e-05j'), np.clongdouble('0.99139459525802329235+8.584355114257970345e-05j'), np.clongdouble('0.9914828681437378946+1.8713652921113978759e-05j'), np.clongdouble('0.9914746049445704133+2.4380884270561778453e-05j'), np.clongdouble('0.9913819847700223009+6.543726942286081757e-05j'), np.clongdouble('0.99163458588386784994+1.573416967492980413e-06j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j'), np.clongdouble('0.9940313569445758469+1.4853438936777487057e-05j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.33332484157207404), np.float64(0.3375262065286275), np.float64(0.33751989759735723), np.float64(0.3366619868607188), np.float64(0.3347560370667651), np.float64(0.33474988682613005), np.float64(0.31504077866367014), np.float64(0.3000356771403596), np.float64(0.2959270105962264), np.float64(0.27753289476630255), np.float64(0.25570953258304036), np.float64(0.2549522916746782), np.float64(0.2566667682567528), np.float64(0.2634835099259651), np.float64(0.3273573153032057), np.float64(0.44360490066790037), np.float64(0.5812519724934332), np.float64(0.6133494466075892), np.float64(0.6929690943514754), np.float64(0.6952472690223416), np.float64(0.6954073068626796), np.float64(0.6961784385946617), np.float64(0.6962074465409205), np.float64(0.7069341387111273), np.float64(0.7095436443024413), np.float64(0.7101916268175591), np.float64(0.7639509148075329), np.float64(0.876738531474111), np.float64(0.8962796672769474), np.float64(0.8981485688032347), np.float64(0.9121717129533042), np.float64(0.9617922312643565), np.float64(0.974526694557146), np.float64(0.9801069296882107), np.float64(0.9842465845300641), np.float64(0.9924952543627411), np.float64(0.9942693595963178), np.float64(0.994535596768611), np.float64(0.9945099593427633), np.float64(0.9948916201521295), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428), np.float64(0.9997768317027428)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 9:\n",
      "Portas: 0.999169627733855\n",
      "Estados: (0.998161328301498+1.7644873965523194e-05j)\n",
      "Distância: 0.06286986377331255\n",
      " \n",
      "Tempo: 10\n",
      "Começará a função principal\n",
      "Tempo de parada: 49\n",
      "O rho gerado foi: [[np.float64(0.9999580423115407), np.complex128(-0.0021955060643055863-0.013088831124955876j)], [np.complex128(-0.0021955060643055863+0.013088831124955876j), np.float64(4.195768845927095e-05)]]\n",
      "Terminou a função principal\n",
      "Veja o log: (Dos estados)\n",
      "[np.clongdouble('0.50014465186685759925+0j'), np.clongdouble('0.49990138342621843876+5.6462594832435939648e-05j'), np.clongdouble('0.5710284560375769156-0.00038505876197684815005j'), np.clongdouble('0.5711632238576873983+0.00013971497351923294056j'), np.clongdouble('0.57127110750891832924+0.00016046521085609862926j'), np.clongdouble('0.6324819160065548386-0.000109555443410562655196j'), np.clongdouble('0.6326251387023493562-3.811956771147353587e-06j'), np.clongdouble('0.63976311065871677576+0.00026084470632076903585j'), np.clongdouble('0.6399206826335845618+7.331027025918836214e-06j'), np.clongdouble('0.6404921911854621976+0.00018255539284782958363j'), np.clongdouble('0.64057502457579503375-0.00016664255681450364111j'), np.clongdouble('0.64057591531955820815-0.00023008220856147687011j'), np.clongdouble('0.6408683658867114646-3.9025977020726144494e-05j'), np.clongdouble('0.64235386615568551994-0.00012705985864323382803j'), 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np.clongdouble('0.9996152568212184777+1.4690942915773266882e-05j'), np.clongdouble('0.9996106755190668423-2.0583506305012844962e-05j'), np.clongdouble('0.9996049666848341129-1.5339699930870027503e-05j'), np.clongdouble('0.99998682343358916987+1.0791967839299202887e-05j'), np.clongdouble('0.9999968793241874086-2.566581345463420105e-06j'), np.clongdouble('0.9999895595969926575-2.1367349921894723016e-06j'), np.clongdouble('0.9999756478603275372-6.6652510955267143066e-06j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j'), np.clongdouble('0.99997068590539913324+1.8571504829116821833e-07j')]\n",
      "Veja o log: (Das portas)\n",
      "[np.float64(0.3325217396169437), np.float64(0.3161384921728471), np.float64(0.283822174879457), np.float64(0.28337846570699626), np.float64(0.2832559603622617), np.float64(0.25606254144660984), np.float64(0.25397446677580454), np.float64(0.25524420024930755), np.float64(0.25588783480327654), np.float64(0.2560227169629225), np.float64(0.2560160432726632), np.float64(0.2560099326047413), np.float64(0.2560032084158454), np.float64(0.2563210531906358), np.float64(0.30026951684858094), np.float64(0.4088848559277792), np.float64(0.4097772703855978), np.float64(0.4107587456125268), np.float64(0.4137075884158509), np.float64(0.41402607287716586), np.float64(0.5422171737270762), np.float64(0.6314427327078794), np.float64(0.6396922936559798), np.float64(0.78033302306366), np.float64(0.8750272800399274), np.float64(0.8750389542088141), np.float64(0.8877088495322161), np.float64(0.8986548393523118), np.float64(0.9080014746531457), np.float64(0.9196097874685742), np.float64(0.9578859100425996), np.float64(0.964108444373243), np.float64(0.9779832264085929), np.float64(0.9817206900544727), np.float64(0.9816992656499081), np.float64(0.9816732899163702), np.float64(0.9820559903040721), np.float64(0.9825952731473685), np.float64(0.9900525062353654), np.float64(0.9908543275749296), np.float64(0.9909610115413218), np.float64(0.996459372896961), np.float64(0.9966251714205989), np.float64(0.9966222178349669), np.float64(0.998545425751304), np.float64(0.9993134564766187), np.float64(0.9993104761517196), np.float64(0.9992851158805526), np.float64(0.999274449508333), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537), np.float64(0.9996122659638537)]\n",
      "Começou o histograma\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Terminou o histograma\n",
      "Valores de média na iteração 10:\n",
      "Portas: 0.9992138915568549\n",
      "Estados: (0.998342264061888+1.5898958073799992e-05j)\n",
      "Distância: 0.05677560962420388\n",
      " \n"
     ]
    }
   ],
   "source": [
    "portas = []\n",
    "estados = []\n",
    "distancia = []\n",
    "\n",
    "for i in range(1, 11):\n",
    "\n",
    "    print(f\"Tempo: {i}\")\n",
    "\n",
    "    print(f\"Começará a função principal\")\n",
    "    fid_vector, fid_autores, rho_vector, distance_vector, fx_vector, fy_vector, fz_vector, a, tempo_de_parada = main()\n",
    "    print(f\"Terminou a função principal\")\n",
    "    print(f\"Veja o log: (Dos estados)\")\n",
    "    print(fid_vector)\n",
    "    print(f\"Veja o log: (Das portas)\")\n",
    "    print(fid_autores)\n",
    "\n",
    "    portas.append(fid_autores[-1])\n",
    "    estados.append(fid_vector[-1])\n",
    "    distancia.append(distance_vector[-1])\n",
    "\n",
    "    print(f\"Começou o histograma\")\n",
    "    histograma(0, a)\n",
    "    histograma(1, a)\n",
    "    histograma(2, a)\n",
    "    print(f\"Terminou o histograma\")\n",
    "    \n",
    "    print(f\"Valores de média na iteração {i}:\")\n",
    "    print(f\"Portas: {sum(portas)/i}\")\n",
    "    print(f\"Estados: {sum(estados)/i}\")\n",
    "    print(f\"Distância: {sum(distancia)/i}\")\n",
    "    print(\" \")"
   ]
  }
 ],
 "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}