Supernova 1a MCMC Sampling.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Assignment 4 AA608.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "The aim of this exercise is to write an MCMC code to estimate cosmological parameters from supernova Ia data. Supernova Ia are standard candles (or can be made so), so can be used to measure the contents of the Universe.\n",
        "\n",
        "**Data:**\n",
        "\n",
        "We have a dataset of measurements μ at various different redshifts z. So the data consists of pairs of values, (z_i , μ_i) ; i = 1, . . . 31, where z is the observed redshift of the supernova and μ is the distance modulus.\n",
        "\n",
        "**Theory:**\n",
        "\n",
        "The theoritical corves for μ as a function of z, for a model with 2 parameters: $h$ (Hubble constant, in units of 100 km/s/Mpc) and $\\Omega_{m}$ (matter density parameter) is given, related with the following relations:"
      ],
      "metadata": {
        "id": "xCWo8BDQTM8j"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Distance modulus $\\mu$:\n",
        "\n",
        "\\begin{equation}\n",
        "    \\mu(z)\n",
        "    =\n",
        "    25 - 5 \\log_{10} h + 5 \\log_{10} \\left( D^{*}_{L}(z) \\right)\n",
        "\\end{equation}\n",
        "\n",
        "where $D^{*}_{L}(z)$ is:\n",
        "\n",
        "\\begin{equation}\n",
        "    D^{*}_{L}(z)\n",
        "    =\n",
        "    3000 (1+z) \\left[ \\eta (1,\\Omega_{m}) - \\eta \\left( \\frac{1}{1+z}, \\Omega_{m} \\right) \\right]\n",
        "\\end{equation}\n",
        "\n",
        "\\begin{equation}\n",
        "    \\eta(a,\\Omega_{m})\n",
        "    =\n",
        "    2\n",
        "    \\sqrt{s^{3} + 1}\n",
        "    \\left[\n",
        "        \\frac{1}{a^{4}}\n",
        "        -\n",
        "        0.1540 \\frac{s}{a^{3}}\n",
        "        +\n",
        "        0.4304 \\frac{s^{2}}{a^{2}}\n",
        "        +\n",
        "        0.19097 \\frac{s^{3}}{a}\n",
        "        +\n",
        "        0.066941 s^{4}\n",
        "    \\right]^{-\\frac{1}{8}}\n",
        "\\end{equation}\n",
        "\n",
        "\\begin{equation}\n",
        "    s^{3}\n",
        "    =\n",
        "    \\frac{1-\\Omega_{m}}{\\Omega_{m}}\n",
        "\\end{equation}"
      ],
      "metadata": {
        "id": "-HGDhDBUTicv"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "-_akxBNO6whm"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.integrate import simps\n",
        "import math as math\n",
        "import pandas as pd"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# link to the raw file for the dataset from my github\n",
        "url_1 = 'https://raw.githubusercontent.com/nyctophile-aayu/Astronomical-Data-Analysis/main/jla_mub.csv'\n",
        "\n",
        "data = pd.read_csv(url_1,encoding='utf-8')\n",
        "data.columns = [\"z\",\"mu\"]\n",
        "print(data.head()) #displaying the first 5 rows"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zhps7PSzjoLy",
        "outputId": "8d804fef-9e9d-40a2-808c-d88120d2fa77"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "       z         mu\n",
            "0  0.010  32.953887\n",
            "1  0.012  33.879003\n",
            "2  0.014  33.842141\n",
            "3  0.016  34.118567\n",
            "4  0.019  34.593446\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Define redshift (z) and distance modulus (mu) arrays\n",
        "z = np.array(data.z)                           # z values from jla_mub file\n",
        "mu = np.array(data.mu)                         # mu values from jla_mub file\n",
        "\n",
        "# Plot the data for 31 supernova\n",
        "plt.plot(z, mu, 'o')                                      # plot between z and mu\n",
        "plt.xlabel('Redshift z $\\longrightarrow$')                # x label\n",
        "plt.ylabel('Distance modulus $\\mu \\longrightarrow$')      # y label\n",
        "plt.title('Distance Modulus v/s redshift')                # plot title\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "id": "hZ79g-_e9za3",
        "outputId": "aba36726-856f-46db-ecdd-dd8011eb5fee"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Defining number of parameter and sample values\n",
        "nsamples = 10000\n",
        "npars = 2\n",
        "\n",
        "# Define (Gaussian) width of the proposal distribution\n",
        "sigma_Omega_m = 0.01\n",
        "sigma_h = 0.01\n",
        "\n",
        "# For very small proposal distribution:\n",
        "# sigma = [0.001,0.001]\n",
        "\n",
        "# For large proposal distribution:\n",
        "# sigma = [0.1,1]\n",
        "\n",
        "# Number of bins of supernova data\n",
        "nSN = 31\n",
        "\n",
        "# Temporary variable to store mu(observation)- mu(theory)\n",
        "Dmu = np.empty(nSN)\n",
        "\n",
        "# Define an empty array of parameter values for each point of previous two\n",
        "# parameters Omega_m and h\n",
        "# Create a [10000,3] empty array\n",
        "mcmc_arr = np.empty([nsamples, npars+1])\n",
        "\n",
        "# Generate a random uniform number for likelihood calculation \n",
        "mcmc_arr[0,:] = [np.random.uniform(), np.random.uniform(), -1.e100]\n",
        "\n",
        "# Define z grid, Omega_m and h values\n",
        "npts = 300\n",
        "z_plot = np.linspace(0.01, 1.3, npts)\n",
        "mu_plot = np.empty(npts)"
      ],
      "metadata": {
        "id": "8frgxJlIlJS6"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from google.colab import files\n",
        "uploaded = files.upload()"
      ],
      "metadata": {
        "colab": {
          "resources": {
            "http://localhost:8080/nbextensions/google.colab/files.js": {
              "data": 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              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 73
        },
        "id": "RtL6XyX375wT",
        "outputId": "aad67b5c-5e75-4687-8260-cc1ad325a4e6"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ],
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-f34e129f-a803-41c2-bfa4-2f90e0ede2e6\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-f34e129f-a803-41c2-bfa4-2f90e0ede2e6\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Saving jla_mub_covmatrix.txt to jla_mub_covmatrix (3).txt\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Read in the covariance matrix (as a list), reshape it to 31 x 31, then invert it\n",
        "f = open('jla_mub_covmatrix.txt','r')\n",
        "cov = np.loadtxt(f)\n",
        "cov = np.reshape(cov,(nSN,nSN))\n",
        "f.close()\n",
        "\n",
        "InvC = np.empty([nSN,nSN])\n",
        "InvC = np.linalg.inv(cov)"
      ],
      "metadata": {
        "id": "HhBeywG5GJvz"
      },
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# First defining eta as a function of a and Omega_m, and defining s:\n",
        "def eta(a, Omega_m):\n",
        "    if (Omega_m>=0.9999):\n",
        "        Omega_m= 0.9999\n",
        "    else:\n",
        "        pass\n",
        "    s3 = (1.0 - Omega_m)/Omega_m\n",
        "    s = np.power(s3, 1.0/3.0)\n",
        "    s2 = s*s\n",
        "    s4 = s2*s2\n",
        "\n",
        "    x = 1.0/(a**4) - 0.1540 * (s/a**3) + 0.4304*(s2/a**2) + 0.19097 * (s3/a) + 0.066941 * s4\n",
        "    eta = 2.0*np.sqrt(s3 + 1.0) * np.power(x,-1.0/8.0)\n",
        "    return eta\n",
        "\n",
        "# Now, defining Luminosity Distance, DL as a function of z and Omega_m:\n",
        "# Valid for flat Universe only (Omega = 1)\n",
        "def DLstar(z, Omega_m):\n",
        "    # Speed of light(c) is 3.e8 in m/s and 3.e5 in km/s \n",
        "    # and we divide it by Hubble constant(H0) = 100h km/s/Mpc\n",
        "    DLstar = 3000.0*(1.0+z)*(eta(1.0,Omega_m) - eta(1.0/(1.0+z), Omega_m))\n",
        "    return DLstar\n",
        "\n",
        "# =============================================================================\n",
        "\n",
        "# Function to calculate luminosity distance in terms of integral function\n",
        "# For non-flat Universe (Omega > 1), uncomment below section and comment above section for DLstar\n",
        "# def Dl(z,Omega_m,h):\n",
        "#     #The integration part in the formula for Dl\n",
        "#     def integrand(x):\n",
        "#         integral= 1/(np.sqrt(Omega_m*((1+x)**3)+(Omega-Omega_m)+(1-Omega)*((1+x)**2)))\n",
        "#         return integral\n",
        "#     x_arr = np.linspace(0,z,num = 500, endpoint = True)\n",
        "#     # answer,err = quad(integrand, 0, z) \n",
        "#     # Speed of light(c) is 3.e8 in m/s and 3.e5 in km/s \n",
        "#     # and we divide it by Hubble constant(H0) = 100h km/s/Mpc\n",
        "#     y_arr = integrand(x_arr)\n",
        "#     answer = simps(y_arr,x_arr)\n",
        "#     DLstar = 3000*(1/h)*(1+z)*answer\n",
        "#     return DLstar\n",
        "\n",
        "# Define distance modulus(model) as a function of z, Omega_m, and h(for non-flat Universe):\n",
        "# def mu_m(z, Omega_m, h):\n",
        "#     #\"Distance modulus at redshift z, for flat Universe with parameters Omega_m, h\"\n",
        "#     mu = 25.0 - 5.0*math.log10(h) + 5.0*math.log10(DLstar(z, Omega_m, h))\n",
        "#     return mu\n",
        "\n",
        "# =============================================================================\n",
        "\n",
        "# And, then defining distance modulus(model) as a function of z, h amd Omega_m(for flat Universe):\n",
        "def mu_m(z, Omega_m, h):\n",
        "    mu = 25.0 - 5.0 * np.log10(h) + 5.0 * np.log10(DLstar(z, Omega_m))\n",
        "    return mu\n",
        "\n",
        "# Random starting point in parameter space; each parameter in range (0,1)\n",
        "# Define Likelihood function\n",
        "def lnL(Omega_m, h):\n",
        "\n",
        "# Set initial likelihood to low value so next point is accepted\n",
        "    if(Omega_m<=0.0 or h<=0.0):\n",
        "        lnL = -1.e100\n",
        "    else:\n",
        "\n",
        "# Now, deduce difference between mu(theory) and mu(observation)\n",
        "# mu is the array loaded from the observation in the very initial part of the code\n",
        "        for i in range(nSN):\n",
        "            Dmu[i] = mu[i]- mu_m(z[i],Omega_m,h)\n",
        "\n",
        "# Now, at last computing likelihood\n",
        "        lnL = -0.5*np.dot(Dmu,np.dot(InvC,Dmu))\n",
        "    return lnL"
      ],
      "metadata": {
        "id": "1jso_Q2hVo_h"
      },
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Plot a few theoritical curves on top of the data\n",
        "for i in range(npts):\n",
        "  mu_plot[i] = mu_m(z_plot[i], 0.3, 0.7)\n",
        "plt.plot(z_plot, mu_plot, color = 'k')\n",
        "plt.xlabel('z')\n",
        "plt.ylabel(r'$\\mu$')\n",
        "\n",
        "for i in range(npts):\n",
        "  mu_plot[i] = mu_m(z_plot[i], 0.4, 0.5)\n",
        "plt.plot(z_plot, mu_plot, color = 'b')\n",
        "\n",
        "for i in range(npts):\n",
        "  mu_plot[i] = mu_m(z_plot[i], 0.6, 0.9)\n",
        "plt.plot(z_plot, mu_plot, color = 'y')\n",
        "\n",
        "# Plot the data\n",
        "plt.plot(z, mu, 'o', color = 'violet')\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "uFXRSZz343Tx",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "outputId": "735f9894-c388-4312-9a47-c5b313a4d385"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Calculate an initial likelihood value and store it as the third column\n",
        "mcmc_arr[0, npars] = lnL(mcmc_arr[0,0], mcmc_arr[0,1])\n",
        "\n",
        "# Draw new proposed samples from a proposal distribution, centered on old values Omega_m[i-1], h[i-1]\n",
        "# Accept or reject, and colour points according to lnL(likelihood)\n",
        "for i in range(1,nsamples):\n",
        "    lnL_prev = mcmc_arr[i-1,npars]\n",
        "\n",
        "# For Gaussian proposal distribution, uncomment the below line\n",
        "    # Omega_m_next = np.random.normal(mcmc_arr[i-1,0],sigma_Omega_m)\n",
        "    # h_next = np.random.normal(mcmc_arr[i-1,1],sigma_h)\n",
        "\n",
        "# Define 'top-hat' proposal distribution for Omega_m and h\n",
        "# Comment the line below, to check the Gaussian distribution\n",
        "    Omega_m_next = mcmc_arr[i-1,0] + np.random.uniform(-0.05,0.05)\n",
        "    h_next = mcmc_arr[i-1,1] + np.random.uniform(-0.05,0.05)\n",
        "\n",
        "    lnL_next = lnL(Omega_m_next,h_next)\n",
        "\n",
        "# Define the Metropolis-Hastings algorithm to accept or reject the newly calculated point\n",
        "# Accept the point if likelyhood has increased\n",
        "    if(lnL_next > lnL_prev):\n",
        "        mcmc_arr[i,0] = Omega_m_next\n",
        "        mcmc_arr[i,1] = h_next\n",
        "        mcmc_arr[i,npars] = lnL_next\n",
        "        print(\"Accepted with a higher likelihood\")\n",
        "\n",
        "    else:\n",
        "        y = np.random.uniform()\n",
        "\n",
        "# Otherwise, it is accepted with a lesser likelyhood defined by a threshold\n",
        "# This is generated randomly everytime.\n",
        "# To select a different threshold, select a value y = np.random.uniform() and then take log(y)\n",
        "        if(lnL_next - lnL_prev > np.log(y)):\n",
        "            mcmc_arr[i,0] = Omega_m_next\n",
        "            mcmc_arr[i,1] = h_next\n",
        "            mcmc_arr[i,npars] = lnL_next\n",
        "            print(\"Accepted with a lesser likelihood\")\n",
        "\n",
        "# Or, repeat the previous point in the chain to check if the draw is rejected. \n",
        "        else:\n",
        "            mcmc_arr[i,0] = mcmc_arr[i-1,0]\n",
        "            mcmc_arr[i,1] = mcmc_arr[i-1,1]\n",
        "            mcmc_arr[i,2] = lnL_prev\n",
        "            print(\"This draw is rejected\")\n",
        "    \n",
        "# For value calculation, we reject the initial values given by the algorithm so\n",
        "# as to only select the values, where the algorithm converges.\n",
        "# Lets say we reject the initial 20% of the values.\n",
        "reject = math.floor(nsamples/20)\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "print ('\\n\\n\\nEstimated value of Omega_m = ' + str(np.mean(mcmc_arr[reject:nsamples,0])))\n",
        "print ('Estimated value of h = ' + str(np.mean(mcmc_arr[reject:nsamples,1])))\n",
        "print ('Estimated value of standard deviation of Omega_m = ' + str(np.std(mcmc_arr[reject:nsamples,0])))\n",
        "print ('Estimated value of standard deviation of  h = ' + str(np.std(mcmc_arr[reject:nsamples,1])))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2v_aq9jX5KGb",
        "outputId": "427bc995-f8bc-47f7-d583-072c156fa67c"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a higher likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "Accepted with a lesser likelihood\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "This draw is rejected\n",
            "\n",
            "\n",
            "\n",
            "Estimated value of Omega_m = 0.29623672058060374\n",
            "Estimated value of h = 0.7029042976078089\n",
            "Estimated value of standard deviation of Omega_m = 0.03139400804172487\n",
            "Estimated value of standard deviation of  h = 0.007151248146685512\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Plot the samples\n",
        "fig = plt.figure()\n",
        "\n",
        "# Plot the z vs mu function for theoretical and observed values\n",
        "plt.plot(z, mu, c ='blue', marker ='x', label = \"Observed Data\")\n",
        "plt.title(\"A comparison of Theoretical and Observed Values\")\n",
        "plt.xlabel(\"z\")\n",
        "plt.ylabel(r'$\\mu$')\n",
        "plt.show()\n",
        "\n",
        "# Scatter Plot MCMC Omega_m and h distribution of the sample values\n",
        "plt.scatter(mcmc_arr[reject:,0], mcmc_arr[reject:,1], c = -mcmc_arr[reject:,npars])\n",
        "plt.xlim(0.15,0.45)\n",
        "plt.ylim(0.65,0.75)\n",
        "plt.xlabel(r'$\\Omega_m$')\n",
        "plt.ylabel('h')\n",
        "plt.show()\n",
        "\n",
        "# Histogram of Omega_m\n",
        "plt.hist(mcmc_arr[reject:,0], bins = 30)\n",
        "plt.xlabel(r'$\\Omega_m$')\n",
        "plt.show()\n",
        "\n",
        "# Histogram of h\n",
        "plt.hist(mcmc_arr[reject:,1], bins = 30)\n",
        "plt.xlabel('h')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "gBx5mk4p0GkE",
        "outputId": "c50607cf-d09a-482d-b1b5-5dbdafcbffee"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#Solution to the questions from the MCMC code problem.\n",
        "\n",
        "Estimated value of Omega_m = 0.29623672058060374\n",
        "\n",
        "Estimated value of h = 0.7029042976078089\n",
        "\n",
        "Estimated value of standard deviation of Omega_m = 0.03139400804172487\n",
        "\n",
        "Estimated value of standard deviation of  h = 0.007151248146685512\n",
        "\n",
        "********************************************************************\n",
        "\n",
        "The plot that is attached is also obtained using the same method.\n",
        "\n",
        "When using a higher value of the proposal distribution, most of the points are rejected and only a very few are accepted.\n",
        "\n",
        "When using a lower value of the proposal distribution, most of the points are accepted and very few are rejected."
      ],
      "metadata": {
        "id": "K1TrYlodfnHL"
      }
    },
    {
      "cell_type": "code",
      "source": [
        ""
      ],
      "metadata": {
        "id": "4CE_FzL3gJcC"
      },
      "execution_count": 11,
      "outputs": []
    }
  ]
}