ML_final_project.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "21fd1ae7",
   "metadata": {},
   "source": [
    "# step 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de0fa3d3",
   "metadata": {},
   "source": [
    "#### Import necessary libraries \n",
    "\n",
    "#### Read dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "42c095af",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "from sklearn.decomposition import PCA\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.colors as mcolors\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.linear_model import LogisticRegressionCV\n",
    "from sklearn.metrics import confusion_matrix, classification_report"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "892ee0e1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Unique values before factorization: ['DrugY' 'drugC' 'drugX' 'drugA' 'drugB']\n",
      "Mapping:\n",
      "'DrugY' --> 0\n",
      "'drugC' --> 1\n",
      "'drugX' --> 2\n",
      "'drugA' --> 3\n",
      "'drugB' --> 4\n"
     ]
    }
   ],
   "source": [
    "\n",
    "data = pd.read_csv(\"drug200.csv.xls\")\n",
    "\n",
    "X = data.iloc[:, :-1]  # Features\n",
    "y = data.iloc[:, -1]   # Labels\n",
    "\n",
    "print(\"Unique values before factorization:\", y.unique())\n",
    "\n",
    "# Factorize 'y'\n",
    "y, mapping = pd.factorize(y)\n",
    "\n",
    "# Print the mapping between string values and integer values\n",
    "print(\"Mapping:\")\n",
    "for index, value in enumerate(mapping):\n",
    "    print(f\"'{value}' --> {index}\")\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91d2bd9a",
   "metadata": {},
   "source": [
    "# step 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4c4c26a",
   "metadata": {},
   "source": [
    "#### Convert categorical values into numeric values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "7373e684",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "# Encode the categorical features: Sex, BP, and Cholesterol\n",
    "categorical_features = [\"Sex\", \"BP\", \"Cholesterol\"]\n",
    "encoder = LabelEncoder()\n",
    "\n",
    "for feature in categorical_features:\n",
    "    X[feature] = encoder.fit_transform(X[feature])\n",
    "    \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b571ba75",
   "metadata": {},
   "source": [
    "# step 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d65ae264",
   "metadata": {},
   "source": [
    "#### Apply PCA to the given data and reduce the number of features to 3."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b40b2fd",
   "metadata": {},
   "source": [
    "#### PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89ca3d51",
   "metadata": {},
   "source": [
    "PCA is a linear dimensionality reduction technique that aims to find the directions (principal components) in the feature space that explain the maximum variance in the data.\n",
    "\n",
    "The aim of PCA is to transform a high-dimensional dataset into a lower-dimensional space while preserving the most important information or patterns in the data.\n",
    "\n",
    "The resulting principal components represent new features that are a linear combination of the original features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "bad8c85f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total variation explained: 67.00014886094095\n"
     ]
    }
   ],
   "source": [
    "# Standardize the features\n",
    "scaler = StandardScaler()\n",
    "X_scaled = scaler.fit_transform(X)\n",
    "\n",
    "# Apply PCA and reduce the number of features to 3\n",
    "pca = PCA(n_components=3)\n",
    "X_pca = pca.fit_transform(X_scaled)\n",
    "\n",
    "# Compute the total variation explained by the first 3 principal components\n",
    "total_variation = sum(pca.explained_variance_ratio_) * 100\n",
    "print(\"Total variation explained:\", total_variation)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4038601f",
   "metadata": {},
   "source": [
    "'DrugY' --> 0\n",
    "\n",
    "'drugC' --> 1\n",
    "\n",
    "'drugX' --> 2\n",
    "\n",
    "'drugA' --> 3\n",
    "\n",
    "'drugB' --> 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "b89f084f",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "custom_colors = ['red', 'green', 'blue', 'purple', 'orange']\n",
    "cmap = mcolors.ListedColormap(custom_colors)\n",
    "scatter = ax.scatter(X_pca[:, 0], X_pca[:, 1], X_pca[:, 2], c=y, cmap=cmap)\n",
    "\n",
    "# Set labels and title\n",
    "ax.set_xlabel('PC1')\n",
    "ax.set_ylabel('PC2')\n",
    "ax.set_zlabel('PC3')\n",
    "ax.set_title('Clusters of Drug on PCA components')\n",
    "\n",
    "\n",
    "unique_labels = sorted(set(y))\n",
    "legend_elements = [plt.Line2D([0], [0], marker='o', color='w', label=label, markerfacecolor=color)\n",
    "                   for label, color in zip(unique_labels, custom_colors)]\n",
    "plt.legend(handles=legend_elements, title='Label')\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "19534e82",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Eigenvalues and corresponding eigenvectors (sorted in descending order of eigenvalues):\n",
      "Eigenvalue 1: 1.2984\n",
      "Eigenvector 1: [-0.426331   -0.37227103 -0.51380637  0.37111018  0.52719674]\n",
      "\n",
      "Eigenvalue 2: 1.0818\n",
      "Eigenvector 2: [-0.20778    -0.62813633  0.46272317 -0.5459878   0.2237338 ]\n",
      "\n",
      "Eigenvalue 3: 0.9867\n",
      "Eigenvector 3: [-0.61036557 -0.13037947  0.32638932  0.42628725 -0.56763039]\n",
      "\n",
      "Eigenvalue 4: 0.8820\n",
      "Eigenvector 4: [-0.63239967  0.55256456 -0.17071647 -0.51035737  0.07165408]\n",
      "\n",
      "Eigenvalue 5: 0.7763\n",
      "Eigenvector 5: [-0.05093015  0.38017448  0.62146293  0.34926937  0.5870845 ]\n",
      "\n",
      "Loadings for the top 3 principal components:\n",
      "Principal Component 1:\n",
      "  Age: -0.4858\n",
      "  Sex: -0.4242\n",
      "  BP: -0.5855\n",
      "  Cholesterol: 0.4229\n",
      "  Na_to_K: 0.6007\n",
      "Total features contributing to PC1: 5\n",
      "\n",
      "Principal Component 2:\n",
      "  Age: -0.2161\n",
      "  Sex: -0.6533\n",
      "  BP: 0.4813\n",
      "  Cholesterol: -0.5679\n",
      "  Na_to_K: 0.2327\n",
      "Total features contributing to PC2: 5\n",
      "\n",
      "Principal Component 3:\n",
      "  Age: -0.6063\n",
      "  Sex: -0.1295\n",
      "  BP: 0.3242\n",
      "  Cholesterol: 0.4234\n",
      "  Na_to_K: -0.5638\n",
      "Total features contributing to PC3: 5\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Define feature_names based on your DataFrame's columns\n",
    "feature_names = X.columns.tolist()\n",
    "\n",
    "# Standardizing the data\n",
    "X_standardized = (X - np.mean(X, axis=0)) / np.std(X, axis=0)\n",
    "\n",
    "# Computing the covariance matrix\n",
    "cov_matrix = np.cov(X_standardized, rowvar=False)\n",
    "\n",
    "# Performing eigendecomposition\n",
    "eigenvalues, eigenvectors = np.linalg.eig(cov_matrix)\n",
    "\n",
    "# Sorting the eigenvalues and eigenvectors in descending order\n",
    "sorted_indices = np.argsort(eigenvalues)[::-1]\n",
    "sorted_eigenvalues = eigenvalues[sorted_indices]\n",
    "sorted_eigenvectors = eigenvectors[:, sorted_indices]\n",
    "\n",
    "# Displaying eigenvalues and eigenvectors\n",
    "print(\"Eigenvalues and corresponding eigenvectors (sorted in descending order of eigenvalues):\")\n",
    "for i, eigenvalue in enumerate(sorted_eigenvalues):\n",
    "    print(f\"Eigenvalue {i+1}: {eigenvalue:.4f}\")\n",
    "    print(f\"Eigenvector {i+1}: {sorted_eigenvectors[:, i]}\")\n",
    "    print()\n",
    "\n",
    "# Extracting the top three principal components\n",
    "top_eigenvalues = sorted_eigenvalues[:3]\n",
    "top_eigenvectors = sorted_eigenvectors[:, :3]\n",
    "\n",
    "# Calculating loadings\n",
    "loadings = top_eigenvectors * np.sqrt(top_eigenvalues)\n",
    "\n",
    "# Displaying loadings and feature contributions to each principal component\n",
    "print(\"Loadings for the top 3 principal components:\")\n",
    "for i in range(3):\n",
    "    print(f\"Principal Component {i+1}:\")\n",
    "    for j in range(loadings.shape[0]):\n",
    "        print(f\"  {feature_names[j]}: {loadings[j, i]:.4f}\")\n",
    "    print(f\"Total features contributing to PC{i+1}: {loadings.shape[0]}\")  # Number of features in each PC\n",
    "    print() \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "2eafde71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.00502513,  0.10254006,  0.05448483, -0.06857675, -0.06343668],\n",
       "       [ 0.10254006,  1.00502513, -0.0078533 , -0.00885529, -0.12563668],\n",
       "       [ 0.05448483, -0.0078533 ,  1.00502513, -0.13824328, -0.15006186],\n",
       "       [-0.06857675, -0.00885529, -0.13824328,  1.00502513,  0.01005071],\n",
       "       [-0.06343668, -0.12563668, -0.15006186,  0.01005071,  1.00502513]])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cov_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "d03e7dc2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variance explained by the top 3 components:\n",
      "PC1: 25.84%\n",
      "PC2: 21.53%\n",
      "PC3: 19.64%\n",
      "Total Variance Explained by Top 3 Components: 67.00%\n"
     ]
    }
   ],
   "source": [
    "# Calculate total variance explained by the top three components\n",
    "total_variance = sum(eigenvalues)\n",
    "variance_explained = [(i / total_variance)*100 for i in sorted_eigenvalues[:3]]\n",
    "total_variance_explained = sum(variance_explained)\n",
    "\n",
    "# Display the variance explained\n",
    "print(\"Variance explained by the top 3 components:\")\n",
    "print(f\"PC1: {variance_explained[0]:.2f}%\")\n",
    "print(f\"PC2: {variance_explained[1]:.2f}%\")\n",
    "print(f\"PC3: {variance_explained[2]:.2f}%\")\n",
    "print(f\"Total Variance Explained by Top 3 Components: {total_variance_explained:.2f}%\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "af0abb00",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(200, 5)\n",
      "200\n"
     ]
    }
   ],
   "source": [
    "print(X_standardized.shape)  # Should show (150, number_of_features)\n",
    "print(len(y))               # Should also be 150\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "a097c28d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make sure the length of 'y' matches the number of samples in 'X_standardized'\n",
    "if len(y) != X_standardized.shape[0]:\n",
    "    print(\"Mismatch detected: Adjusting 'y' to match 'X_standardized'.\")\n",
    "    y = y[:X_standardized.shape[0]]  # Adjust 'y' if necessary\n",
    "\n",
    "# Project the data using the top eigenvectors\n",
    "X_projected = np.dot(X_standardized, top_eigenvectors)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "custom_colors = ['red', 'green', 'blue', 'purple', 'orange']\n",
    "cmap = mcolors.ListedColormap(custom_colors)\n",
    "scatter = ax.scatter(X_projected[:, 0], X_projected[:, 1], X_projected[:, 2], c=y, cmap=cmap)\n",
    "\n",
    "# Set labels and title\n",
    "ax.set_xlabel('PC1')\n",
    "ax.set_ylabel('PC2')\n",
    "ax.set_zlabel('PC3')\n",
    "ax.set_title('Clusters of Drug on PCA components')\n",
    "\n",
    "\n",
    "unique_labels = sorted(set(y))\n",
    "legend_elements = [plt.Line2D([0], [0], marker='o', color='w', label=label, markerfacecolor=color)\n",
    "                   for label, color in zip(unique_labels, custom_colors)]\n",
    "plt.legend(handles=legend_elements, title='Label')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "98fde44c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variance explained by PC1: 39.54%\n",
      "Variance explained by PC2: 32.11%\n"
     ]
    }
   ],
   "source": [
    "# Select three specific features for the example\n",
    "# Here, let's take 'Age', 'Na_to_K' (assuming they are in your dataset), and 'BP' after encoding\n",
    "selected_features = ['Age', 'Na_to_K', 'BP']\n",
    "X_selected = X[selected_features]\n",
    "\n",
    "# Standardize the selected data\n",
    "scaler = StandardScaler()\n",
    "X_scaled = scaler.fit_transform(X_selected)\n",
    "\n",
    "# Apply PCA\n",
    "pca = PCA(n_components=2)  # Reduce to two dimensions for visualization\n",
    "X_pca = pca.fit_transform(X_scaled)\n",
    "\n",
    "# Plotting\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(16, 6), subplot_kw={'projection': '3d'})\n",
    "\n",
    "# Original Data\n",
    "sc1 = ax1.scatter(X_scaled[:, 0], X_scaled[:, 1], X_scaled[:, 2], c=y, cmap='viridis', edgecolor='k', s=50)\n",
    "ax1.set_xlabel(selected_features[0])\n",
    "ax1.set_ylabel(selected_features[1])\n",
    "ax1.set_zlabel(selected_features[2])\n",
    "ax1.set_title('Original Data in Feature Space')\n",
    "plt.colorbar(sc1, ax=ax1, pad=0.1)\n",
    "\n",
    "# PCA-transformed Data\n",
    "sc2 = ax2.scatter(X_pca[:, 0], X_pca[:, 1], c=y, cmap='viridis', edgecolor='k', s=50)\n",
    "ax2.set_xlabel('Principal Component 1')\n",
    "ax2.set_ylabel('Principal Component 2')\n",
    "ax2.set_title('Data in PCA Projected Space')\n",
    "plt.colorbar(sc2, ax=ax2, pad=0.1)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "# Print the variance explained by the principal components\n",
    "print(\"Variance explained by PC1: {:.2f}%\".format(pca.explained_variance_ratio_[0] * 100))\n",
    "print(\"Variance explained by PC2: {:.2f}%\".format(pca.explained_variance_ratio_[1] * 100))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c385311",
   "metadata": {},
   "source": [
    "#### Split the data into training and testing sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "22533635",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training data shape: (120, 3) (120,)\n",
      "Testing data shape: (80, 3) (80,)\n"
     ]
    }
   ],
   "source": [
    "# Split the data into training and testing sets\n",
    "X_train_pca, X_test_pca, y_train, y_test = train_test_split(X_pca, y, test_size=0.4, random_state=42)\n",
    "print(\"Training data shape:\", X_train_pca.shape, y_train.shape)\n",
    "print(\"Testing data shape:\", X_test_pca.shape, y_test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10bf1ece",
   "metadata": {},
   "source": [
    "# step 4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a886eba0",
   "metadata": {},
   "source": [
    "#### Write down the logistic regression objective function with the L1 penalty term"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "146f5a7d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def objective(A, b, mu, x, z):\n",
    "    m = A.shape[0]\n",
    "    obj = np.sum(np.log(1 + np.exp(-A @ x[1:] - b * x[0]))) + m * mu * np.linalg.norm(z, 1)\n",
    "    return obj"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "987e0b25",
   "metadata": {},
   "source": [
    "# step 5"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9aab8bf7",
   "metadata": {},
   "source": [
    "#### Optimize the objective function by the ADMM algorithm."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a3c1440",
   "metadata": {},
   "source": [
    "https://web.stanford.edu/~boyd/papers/admm/logreg-l1/logreg.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4cb7a636",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# logreg   Solve L1 regularized logistic regression via ADMM\n",
    "\n",
    "# logreg(A, b, mu, rho, alpha) solves the following problem via ADMM:\n",
    "\n",
    "# minimize   sum( log(1 + exp(-b_i*(a_i'w + v)) ) + m*mu*norm(w,1)\n",
    "\n",
    "# where A is a feature matrix and b is a response vector. The scalar m is the number of examples in the matrix A.\n",
    "\n",
    "# This solves the L1 regularized logistic regression problem. It uses a custom Newton solver for the x-step.\n",
    "\n",
    "# The solution is returned in the vector x = (v,w).\n",
    "\n",
    "# rho is the augmented Lagrangian parameter.\n",
    "\n",
    "# alpha is the over-relaxation parameter (typical values for alpha are between 1.0 and 1.8).\n",
    "\n",
    "def logreg(A, b, mu, rho, alpha):\n",
    "    # Global constants and defaults\n",
    "    QUIET = 0\n",
    "    MAX_ITER = 1000\n",
    "    ABSTOL = 1e-4\n",
    "    RELTOL = 1e-2\n",
    "    \n",
    "    # Data preprocessing\n",
    "    m, n = A.shape\n",
    "    \n",
    "    # ADMM solver\n",
    "    x = np.zeros(n + 1)\n",
    "    z = np.zeros(n + 1)\n",
    "    u = np.zeros(n + 1)\n",
    "    \n",
    "    if not QUIET:\n",
    "        print('%3s\\t%10s\\t%10s\\t%10s\\t%10s\\t%10s' % ('iter', 'r norm', 'eps pri', 's norm', 'eps dual', 'objective'))\n",
    "    \n",
    "    for k in range(MAX_ITER):\n",
    "        # x-update\n",
    "        x = update_x(A, b, u, z, rho)\n",
    "    \n",
    "        # z-update with relaxation\n",
    "        zold = z\n",
    "        x_hat = alpha * x + (1 - alpha) * zold\n",
    "        z = x_hat + u\n",
    "        z[1:] = shrinkage(z[1:], (m * mu) / rho)\n",
    "    \n",
    "        u = u + (x_hat - z)\n",
    "    \n",
    "        # diagnostics, reporting, termination checks\n",
    "        # The below part contains the objective value, the primal and dual residual norms,\n",
    "            # and the tolerances for the primal and dual residual norms at each iteration.\n",
    "        objval = objective(A, b, mu, x, z)\n",
    "        r_norm = np.linalg.norm(x - z)\n",
    "        s_norm = np.linalg.norm(rho * (z - zold))\n",
    "    \n",
    "        eps_pri = np.sqrt(n) * ABSTOL + RELTOL * max(np.linalg.norm(x), np.linalg.norm(z))\n",
    "        eps_dual = np.sqrt(n) * ABSTOL + RELTOL * np.linalg.norm(rho * u)\n",
    "    \n",
    "        if not QUIET:\n",
    "            print('%3d\\t%10.4f\\t%10.4f\\t%10.4f\\t%10.4f\\t%10.2f' % (k, r_norm, eps_pri, s_norm, eps_dual, objval))\n",
    "    \n",
    "        if r_norm < eps_pri and s_norm < eps_dual:\n",
    "            break\n",
    "    \n",
    "    return z\n",
    "\n",
    "\n",
    "\n",
    "def update_x(A, b, u, z, rho, x0=None):\n",
    "    \n",
    "    # solve the x update\n",
    "    # minimize [ -logistic(x_i) + (rho/2) * ||x_i - z^k + u^k||^2  ]\n",
    "    # via Newton's method; for a single subsystem only.\n",
    "    \n",
    "    alpha = 0.1\n",
    "    BETA = 0.5\n",
    "    TOLERANCE = 1e-5\n",
    "    MAX_ITER = 50\n",
    "    \n",
    "    m, n = A.shape\n",
    "    I = np.eye(n + 1)\n",
    "    \n",
    "    if x0 is not None:\n",
    "        x = x0.copy()\n",
    "    else:\n",
    "        x = np.zeros(n + 1)\n",
    "    \n",
    "    C = np.concatenate((-b[:, np.newaxis], -A), axis=1)\n",
    "    f = lambda w: np.sum(np.log(1 + np.exp(C @ w))) + (rho / 2) * np.linalg.norm(w - z + u) ** 2\n",
    "    \n",
    "    for _ in range(MAX_ITER):\n",
    "        fx = f(x)\n",
    "        g = C.T @ (np.exp(C @ x) / (1 + np.exp(C @ x))) + rho * (x - z + u)\n",
    "        H = C.T @ np.diag(np.exp(C @ x) / (1 + np.exp(C @ x)) ** 2) @ C + rho * I\n",
    "        dx = -np.linalg.solve(H, g)  # Newton step\n",
    "        dfx = g.dot(dx)  # Newton decrement\n",
    "        \n",
    "        if np.abs(dfx) < TOLERANCE:\n",
    "            break\n",
    "        \n",
    "        # backtracking\n",
    "        t = 1\n",
    "        while f(x + t * dx) > fx + alpha * t * dfx:\n",
    "            t = BETA * t\n",
    "        x = x + t * dx\n",
    "    \n",
    "    return x\n",
    "\n",
    "def shrinkage(a, kappa):\n",
    "    return np.maximum(0, a - kappa) - np.maximum(0, -a - kappa)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a96c0b7",
   "metadata": {},
   "source": [
    "# step 6"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6f664cb",
   "metadata": {},
   "source": [
    "#### Find an optimal penalty parameter mu for the objective function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "683905a3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best penalty parameter: 1.0\n"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "# Define the mu parameter grid\n",
    "penalty_params = [1, 0.1, 0.01, 0.001]\n",
    "\n",
    "# Perform grid search with cross-validation\n",
    "model = LogisticRegressionCV(Cs=penalty_params, cv=5, penalty='l1', solver='liblinear')\n",
    "model.fit(X_train_pca, y_train)\n",
    "\n",
    "# Get the best penalty mu parameter\n",
    "best_penalty = model.C_[0]\n",
    "print(\"Best penalty parameter:\", best_penalty)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4bee4d71",
   "metadata": {},
   "source": [
    "# step 7"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "230883ee",
   "metadata": {},
   "source": [
    "#### Classify your testing samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "33515660",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.2596\t    0.0469\t    4.6660\t    0.0028\t    582.79\n",
      "  1\t    0.3625\t    0.0712\t    2.4307\t    0.0064\t    866.21\n",
      "  2\t    0.4252\t    0.0880\t    1.6707\t    0.0106\t   1063.28\n",
      "  3\t    0.4717\t    0.1007\t    1.2774\t    0.0153\t   1214.64\n",
      "  4\t    0.5096\t    0.1110\t    1.0310\t    0.0203\t   1337.12\n",
      "  5\t    0.5413\t    0.1196\t    0.8585\t    0.0257\t   1439.26\n",
      "  6\t    0.5678\t    0.1269\t    0.7284\t    0.0313\t   1526.02\n",
      "  7\t    0.5899\t    0.1332\t    0.6252\t    0.0371\t   1600.55\n",
      "  8\t    0.6080\t    0.1386\t    0.5403\t    0.0431\t   1665.00\n",
      "  9\t    0.6226\t    0.1433\t    0.4684\t    0.0493\t   1720.91\n",
      " 10\t    0.6341\t    0.1473\t    0.4065\t    0.0556\t   1769.45\n",
      " 11\t    0.6426\t    0.1509\t    0.3535\t    0.0620\t   1811.69\n",
      " 12\t    0.6488\t    0.1539\t    0.3059\t    0.0685\t   1848.26\n",
      " 13\t    0.6529\t    0.1566\t    0.2638\t    0.0750\t   1879.81\n",
      " 14\t    0.6550\t    0.1588\t    0.2264\t    0.0815\t   1906.91\n",
      " 15\t    0.6552\t    0.1608\t    0.1932\t    0.0881\t   1930.05\n",
      " 16\t    0.6539\t    0.1624\t    0.1637\t    0.0946\t   1949.67\n",
      " 17\t    0.6511\t    0.1638\t    0.1378\t    0.1011\t   1966.21\n",
      " 18\t    0.6470\t    0.1649\t    0.1151\t    0.1076\t   1980.05\n",
      " 19\t    0.6418\t    0.1659\t    0.0955\t    0.1140\t   1991.56\n",
      " 20\t    0.6355\t    0.1667\t    0.0787\t    0.1204\t   2001.07\n",
      " 21\t    0.6286\t    0.1673\t    0.0645\t    0.1267\t   2008.89\n",
      " 22\t    0.6209\t    0.1678\t    0.0527\t    0.1329\t   2015.31\n",
      " 23\t    0.6129\t    0.1683\t    0.0430\t    0.1390\t   2020.58\n",
      " 24\t    0.6046\t    0.1686\t    0.0351\t    0.1450\t   2024.91\n",
      " 25\t    0.5962\t    0.1689\t    0.0288\t    0.1510\t   2028.48\n",
      " 26\t    0.5877\t    0.1691\t    0.0237\t    0.1569\t   2031.45\n",
      " 27\t    0.5794\t    0.1693\t    0.0196\t    0.1627\t   2033.94\n",
      " 28\t    0.5712\t    0.1695\t    0.0164\t    0.1684\t   2036.05\n",
      " 29\t    0.5632\t    0.1696\t    0.0138\t    0.1740\t   2037.84\n",
      " 30\t    0.5554\t    0.1697\t    0.0117\t    0.1796\t   2039.37\n",
      " 31\t    0.5479\t    0.1698\t    0.0100\t    0.1850\t   2040.71\n",
      " 32\t    0.5406\t    0.1699\t    0.0086\t    0.1904\t   2041.87\n",
      " 33\t    0.5336\t    0.1700\t    0.0074\t    0.1958\t   2042.89\n",
      " 34\t    0.5269\t    0.1700\t    0.0064\t    0.2011\t   2043.79\n",
      " 35\t    0.5203\t    0.1701\t    0.0056\t    0.2063\t   2044.60\n",
      " 36\t    0.5140\t    0.1701\t    0.0049\t    0.2114\t   2045.32\n",
      " 37\t    0.5079\t    0.1702\t    0.0043\t    0.2165\t   2045.97\n",
      " 38\t    0.5020\t    0.1702\t    0.0038\t    0.2215\t   2046.56\n",
      " 39\t    0.4963\t    0.1702\t    0.0034\t    0.2265\t   2047.09\n",
      " 40\t    0.4908\t    0.1703\t    0.0030\t    0.2314\t   2047.58\n",
      " 41\t    0.4855\t    0.1703\t    0.0027\t    0.2362\t   2048.03\n",
      " 42\t    0.4803\t    0.1703\t    0.0024\t    0.2410\t   2048.45\n",
      " 43\t    0.4753\t    0.1703\t    0.0022\t    0.2458\t   2048.83\n",
      " 44\t    0.4705\t    0.1704\t    0.0020\t    0.2505\t   2049.19\n",
      " 45\t    0.4658\t    0.1704\t    0.0018\t    0.2551\t   2049.53\n",
      " 46\t    0.4613\t    0.1704\t    0.0017\t    0.2597\t   2049.85\n",
      " 47\t    0.4568\t    0.1704\t    0.0015\t    0.2643\t   2050.14\n",
      " 48\t    0.4525\t    0.1704\t    0.0014\t    0.2688\t   2050.43\n",
      " 49\t    0.4484\t    0.1704\t    0.0013\t    0.2733\t   2050.69\n",
      " 50\t    0.4443\t    0.1704\t    0.0012\t    0.2778\t   2050.95\n",
      " 51\t    0.4404\t    0.1705\t    0.0011\t    0.2822\t   2051.19\n",
      " 52\t    0.4365\t    0.1705\t    0.0010\t    0.2865\t   2051.42\n",
      " 53\t    0.4328\t    0.1705\t    0.0010\t    0.2909\t   2051.65\n",
      " 54\t    0.4291\t    0.1705\t    0.0009\t    0.2952\t   2051.86\n",
      " 55\t    0.4256\t    0.1705\t    0.0008\t    0.2994\t   2052.06\n",
      " 56\t    0.4221\t    0.1705\t    0.0008\t    0.3036\t   2052.26\n",
      " 57\t    0.4187\t    0.1705\t    0.0007\t    0.3078\t   2052.45\n",
      " 58\t    0.4154\t    0.1705\t    0.0007\t    0.3120\t   2052.64\n",
      " 59\t    0.4121\t    0.1705\t    0.0006\t    0.3161\t   2052.82\n",
      " 60\t    0.4089\t    0.1705\t    0.0006\t    0.3202\t   2052.99\n",
      " 61\t    0.4058\t    0.1705\t    0.0006\t    0.3242\t   2053.16\n",
      " 62\t    0.4028\t    0.1705\t    0.0005\t    0.3283\t   2053.32\n",
      " 63\t    0.3998\t    0.1705\t    0.0005\t    0.3323\t   2053.48\n",
      " 64\t    0.3969\t    0.1705\t    0.0005\t    0.3362\t   2053.64\n",
      " 65\t    0.3940\t    0.1705\t    0.0005\t    0.3402\t   2053.79\n",
      " 66\t    0.3912\t    0.1705\t    0.0004\t    0.3441\t   2053.94\n",
      " 67\t    0.3884\t    0.1705\t    0.0004\t    0.3480\t   2054.08\n",
      " 68\t    0.3857\t    0.1706\t    0.0004\t    0.3518\t   2054.22\n",
      " 69\t    0.3831\t    0.1706\t    0.0004\t    0.3557\t   2054.36\n",
      " 70\t    0.3805\t    0.1706\t    0.0004\t    0.3595\t   2054.49\n",
      " 71\t    0.3779\t    0.1706\t    0.0003\t    0.3632\t   2054.63\n",
      " 72\t    0.3754\t    0.1706\t    0.0003\t    0.3670\t   2054.76\n",
      " 73\t    0.3729\t    0.1706\t    0.0003\t    0.3707\t   2054.88\n",
      " 74\t    0.3705\t    0.1706\t    0.0003\t    0.3744\t   2055.01\n",
      " 75\t    0.3681\t    0.1706\t    0.0003\t    0.3781\t   2055.13\n",
      " 76\t    0.3658\t    0.1706\t    0.0003\t    0.3818\t   2055.25\n",
      " 77\t    0.3635\t    0.1706\t    0.0003\t    0.3854\t   2055.37\n",
      " 78\t    0.3612\t    0.1706\t    0.0002\t    0.3890\t   2055.49\n",
      " 79\t    0.3589\t    0.1706\t    0.0002\t    0.3926\t   2055.61\n",
      " 80\t    0.3567\t    0.1706\t    0.0002\t    0.3962\t   2055.72\n",
      " 81\t    0.3546\t    0.1706\t    0.0002\t    0.3997\t   2055.83\n",
      " 82\t    0.3525\t    0.1706\t    0.0002\t    0.4032\t   2055.94\n",
      " 83\t    0.3503\t    0.1706\t    0.0002\t    0.4067\t   2056.05\n",
      " 84\t    0.3483\t    0.1706\t    0.0002\t    0.4102\t   2056.16\n",
      " 85\t    0.3462\t    0.1706\t    0.0002\t    0.4137\t   2056.27\n",
      " 86\t    0.3442\t    0.1706\t    0.0002\t    0.4171\t   2056.37\n",
      " 87\t    0.3422\t    0.1706\t    0.0002\t    0.4206\t   2056.47\n",
      " 88\t    0.3403\t    0.1706\t    0.0002\t    0.4240\t   2056.58\n",
      " 89\t    0.3384\t    0.1706\t    0.0002\t    0.4273\t   2056.68\n",
      " 90\t    0.3365\t    0.1706\t    0.0002\t    0.4307\t   2056.78\n",
      " 91\t    0.3346\t    0.1706\t    0.0002\t    0.4340\t   2056.88\n",
      " 92\t    0.3327\t    0.1706\t    0.0001\t    0.4374\t   2056.98\n",
      " 93\t    0.3309\t    0.1706\t    0.0001\t    0.4407\t   2057.07\n",
      " 94\t    0.3291\t    0.1706\t    0.0001\t    0.4440\t   2057.17\n",
      " 95\t    0.3273\t    0.1706\t    0.0001\t    0.4472\t   2057.26\n",
      " 96\t    0.3256\t    0.1706\t    0.0001\t    0.4505\t   2057.36\n",
      " 97\t    0.3238\t    0.1706\t    0.0001\t    0.4537\t   2057.45\n",
      " 98\t    0.3224\t    0.1706\t    0.0001\t    0.4570\t   2057.53\n",
      " 99\t    0.3207\t    0.1706\t    0.0001\t    0.4602\t   2057.62\n",
      "100\t    0.3190\t    0.1706\t    0.0001\t    0.4634\t   2057.72\n",
      "101\t    0.3174\t    0.1706\t    0.0001\t    0.4665\t   2057.80\n",
      "102\t    0.3158\t    0.1706\t    0.0001\t    0.4697\t   2057.89\n",
      "103\t    0.3142\t    0.1706\t    0.0001\t    0.4728\t   2057.98\n",
      "104\t    0.3126\t    0.1706\t    0.0001\t    0.4760\t   2058.07\n",
      "105\t    0.3110\t    0.1706\t    0.0001\t    0.4791\t   2058.15\n",
      "106\t    0.3095\t    0.1706\t    0.0001\t    0.4822\t   2058.24\n",
      "107\t    0.3080\t    0.1706\t    0.0001\t    0.4852\t   2058.33\n",
      "108\t    0.3065\t    0.1706\t    0.0001\t    0.4883\t   2058.41\n",
      "109\t    0.3050\t    0.1706\t    0.0001\t    0.4914\t   2058.49\n",
      "110\t    0.3035\t    0.1706\t    0.0001\t    0.4944\t   2058.58\n",
      "111\t    0.3020\t    0.1706\t    0.0001\t    0.4974\t   2058.66\n",
      "112\t    0.3006\t    0.1706\t    0.0001\t    0.5004\t   2058.74\n",
      "113\t    0.2992\t    0.1706\t    0.0001\t    0.5034\t   2058.82\n",
      "114\t    0.2978\t    0.1706\t    0.0001\t    0.5064\t   2058.90\n",
      "115\t    0.2964\t    0.1706\t    0.0001\t    0.5094\t   2058.98\n",
      "116\t    0.2950\t    0.1706\t    0.0001\t    0.5123\t   2059.06\n",
      "117\t    0.2936\t    0.1706\t    0.0001\t    0.5152\t   2059.14\n",
      "118\t    0.2923\t    0.1706\t    0.0001\t    0.5182\t   2059.22\n",
      "119\t    0.2909\t    0.1706\t    0.0001\t    0.5211\t   2059.30\n",
      "120\t    0.2896\t    0.1706\t    0.0001\t    0.5240\t   2059.37\n",
      "121\t    0.2883\t    0.1706\t    0.0001\t    0.5268\t   2059.45\n",
      "122\t    0.2870\t    0.1706\t    0.0001\t    0.5297\t   2059.53\n",
      "123\t    0.2857\t    0.1706\t    0.0001\t    0.5326\t   2059.60\n",
      "124\t    0.2844\t    0.1706\t    0.0001\t    0.5354\t   2059.68\n",
      "125\t    0.2832\t    0.1706\t    0.0001\t    0.5383\t   2059.75\n",
      "126\t    0.2819\t    0.1706\t    0.0001\t    0.5411\t   2059.83\n",
      "127\t    0.2807\t    0.1706\t    0.0001\t    0.5439\t   2059.90\n",
      "128\t    0.2795\t    0.1706\t    0.0001\t    0.5467\t   2059.98\n",
      "129\t    0.2783\t    0.1706\t    0.0001\t    0.5495\t   2060.05\n",
      "130\t    0.2771\t    0.1706\t    0.0001\t    0.5522\t   2060.12\n",
      "131\t    0.2759\t    0.1706\t    0.0001\t    0.5550\t   2060.20\n",
      "132\t    0.2747\t    0.1706\t    0.0001\t    0.5577\t   2060.27\n",
      "133\t    0.2735\t    0.1706\t    0.0001\t    0.5605\t   2060.34\n",
      "134\t    0.2724\t    0.1706\t    0.0001\t    0.5632\t   2060.41\n",
      "135\t    0.2712\t    0.1706\t    0.0001\t    0.5659\t   2060.48\n",
      "136\t    0.2701\t    0.1706\t    0.0000\t    0.5686\t   2060.55\n",
      "137\t    0.2690\t    0.1706\t    0.0000\t    0.5713\t   2060.62\n",
      "138\t    0.2678\t    0.1706\t    0.0000\t    0.5740\t   2060.69\n",
      "139\t    0.2667\t    0.1706\t    0.0000\t    0.5766\t   2060.76\n",
      "140\t    0.2656\t    0.1706\t    0.0000\t    0.5793\t   2060.83\n",
      "141\t    0.2646\t    0.1706\t    0.0000\t    0.5819\t   2060.90\n",
      "142\t    0.2635\t    0.1706\t    0.0000\t    0.5846\t   2060.97\n",
      "143\t    0.2624\t    0.1706\t    0.0000\t    0.5872\t   2061.03\n",
      "144\t    0.2613\t    0.1706\t    0.0000\t    0.5898\t   2061.10\n",
      "145\t    0.2603\t    0.1706\t    0.0000\t    0.5924\t   2061.17\n",
      "146\t    0.2593\t    0.1706\t    0.0000\t    0.5950\t   2061.24\n",
      "147\t    0.2582\t    0.1706\t    0.0000\t    0.5976\t   2061.30\n",
      "148\t    0.2572\t    0.1706\t    0.0000\t    0.6002\t   2061.37\n",
      "149\t    0.2562\t    0.1706\t    0.0000\t    0.6027\t   2061.43\n",
      "150\t    0.2552\t    0.1706\t    0.0000\t    0.6053\t   2061.50\n",
      "151\t    0.2542\t    0.1706\t    0.0000\t    0.6078\t   2061.57\n",
      "152\t    0.2532\t    0.1706\t    0.0000\t    0.6103\t   2061.63\n",
      "153\t    0.2522\t    0.1706\t    0.0000\t    0.6129\t   2061.69\n",
      "154\t    0.2512\t    0.1706\t    0.0000\t    0.6154\t   2061.76\n",
      "155\t    0.2502\t    0.1706\t    0.0000\t    0.6179\t   2061.82\n",
      "156\t    0.2493\t    0.1706\t    0.0000\t    0.6204\t   2061.89\n",
      "157\t    0.2483\t    0.1706\t    0.0000\t    0.6229\t   2061.95\n",
      "158\t    0.2474\t    0.1706\t    0.0000\t    0.6253\t   2062.01\n",
      "159\t    0.2464\t    0.1706\t    0.0000\t    0.6278\t   2062.08\n",
      "160\t    0.2455\t    0.1706\t    0.0000\t    0.6303\t   2062.14\n",
      "161\t    0.2446\t    0.1706\t    0.0000\t    0.6327\t   2062.20\n",
      "162\t    0.2437\t    0.1706\t    0.0000\t    0.6351\t   2062.26\n",
      "163\t    0.2427\t    0.1706\t    0.0000\t    0.6376\t   2062.33\n",
      "164\t    0.2418\t    0.1706\t    0.0000\t    0.6400\t   2062.39\n",
      "165\t    0.2409\t    0.1706\t    0.0000\t    0.6424\t   2062.45\n",
      "166\t    0.2400\t    0.1706\t    0.0000\t    0.6448\t   2062.51\n",
      "167\t    0.2392\t    0.1706\t    0.0000\t    0.6472\t   2062.57\n",
      "168\t    0.2383\t    0.1706\t    0.0000\t    0.6496\t   2062.63\n",
      "169\t    0.2374\t    0.1706\t    0.0000\t    0.6519\t   2062.69\n",
      "170\t    0.2365\t    0.1706\t    0.0000\t    0.6543\t   2062.75\n",
      "171\t    0.2357\t    0.1706\t    0.0000\t    0.6567\t   2062.81\n",
      "172\t    0.2348\t    0.1706\t    0.0000\t    0.6590\t   2062.87\n",
      "173\t    0.2340\t    0.1706\t    0.0000\t    0.6613\t   2062.93\n",
      "174\t    0.2331\t    0.1706\t    0.0000\t    0.6637\t   2062.99\n",
      "175\t    0.2323\t    0.1706\t    0.0000\t    0.6660\t   2063.05\n",
      "176\t    0.2314\t    0.1706\t    0.0000\t    0.6683\t   2063.11\n",
      "177\t    0.2306\t    0.1706\t    0.0000\t    0.6706\t   2063.17\n",
      "178\t    0.2298\t    0.1706\t    0.0000\t    0.6729\t   2063.23\n",
      "179\t    0.2290\t    0.1706\t    0.0000\t    0.6752\t   2063.28\n",
      "180\t    0.2282\t    0.1706\t    0.0000\t    0.6775\t   2063.34\n",
      "181\t    0.2272\t    0.1706\t    0.0000\t    0.6798\t   2063.41\n",
      "182\t    0.2264\t    0.1706\t    0.0000\t    0.6820\t   2063.47\n",
      "183\t    0.2256\t    0.1706\t    0.0000\t    0.6843\t   2063.52\n",
      "184\t    0.2248\t    0.1706\t    0.0000\t    0.6865\t   2063.58\n",
      "185\t    0.2241\t    0.1706\t    0.0000\t    0.6888\t   2063.64\n",
      "186\t    0.2233\t    0.1706\t    0.0000\t    0.6910\t   2063.69\n",
      "187\t    0.2225\t    0.1706\t    0.0000\t    0.6932\t   2063.75\n",
      "188\t    0.2217\t    0.1706\t    0.0000\t    0.6954\t   2063.81\n",
      "189\t    0.2210\t    0.1706\t    0.0000\t    0.6977\t   2063.86\n",
      "190\t    0.2202\t    0.1706\t    0.0000\t    0.6999\t   2063.92\n",
      "191\t    0.2195\t    0.1706\t    0.0000\t    0.7021\t   2063.97\n",
      "192\t    0.2187\t    0.1706\t    0.0000\t    0.7042\t   2064.03\n",
      "193\t    0.2180\t    0.1706\t    0.0000\t    0.7064\t   2064.08\n",
      "194\t    0.2173\t    0.1706\t    0.0000\t    0.7086\t   2064.14\n",
      "195\t    0.2165\t    0.1706\t    0.0000\t    0.7108\t   2064.19\n",
      "196\t    0.2158\t    0.1706\t    0.0000\t    0.7129\t   2064.25\n",
      "197\t    0.2151\t    0.1706\t    0.0000\t    0.7151\t   2064.30\n",
      "198\t    0.2144\t    0.1706\t    0.0000\t    0.7172\t   2064.35\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199\t    0.2136\t    0.1706\t    0.0000\t    0.7194\t   2064.41\n",
      "200\t    0.2129\t    0.1706\t    0.0000\t    0.7215\t   2064.46\n",
      "201\t    0.2122\t    0.1706\t    0.0000\t    0.7236\t   2064.51\n",
      "202\t    0.2115\t    0.1706\t    0.0000\t    0.7257\t   2064.57\n",
      "203\t    0.2108\t    0.1706\t    0.0000\t    0.7278\t   2064.62\n",
      "204\t    0.2101\t    0.1706\t    0.0000\t    0.7299\t   2064.67\n",
      "205\t    0.2094\t    0.1706\t    0.0000\t    0.7320\t   2064.73\n",
      "206\t    0.2088\t    0.1706\t    0.0000\t    0.7341\t   2064.78\n",
      "207\t    0.2081\t    0.1706\t    0.0000\t    0.7362\t   2064.83\n",
      "208\t    0.2074\t    0.1706\t    0.0000\t    0.7383\t   2064.88\n",
      "209\t    0.2067\t    0.1706\t    0.0000\t    0.7403\t   2064.94\n",
      "210\t    0.2060\t    0.1706\t    0.0000\t    0.7424\t   2064.99\n",
      "211\t    0.2054\t    0.1706\t    0.0000\t    0.7444\t   2065.04\n",
      "212\t    0.2047\t    0.1706\t    0.0000\t    0.7465\t   2065.09\n",
      "213\t    0.2041\t    0.1706\t    0.0000\t    0.7485\t   2065.14\n",
      "214\t    0.2034\t    0.1706\t    0.0000\t    0.7506\t   2065.19\n",
      "215\t    0.2027\t    0.1706\t    0.0000\t    0.7526\t   2065.25\n",
      "216\t    0.2021\t    0.1706\t    0.0000\t    0.7546\t   2065.30\n",
      "217\t    0.2015\t    0.1706\t    0.0000\t    0.7566\t   2065.35\n",
      "218\t    0.2008\t    0.1706\t    0.0000\t    0.7586\t   2065.40\n",
      "219\t    0.2002\t    0.1706\t    0.0000\t    0.7606\t   2065.45\n",
      "220\t    0.1995\t    0.1706\t    0.0000\t    0.7626\t   2065.50\n",
      "221\t    0.1989\t    0.1706\t    0.0000\t    0.7646\t   2065.55\n",
      "222\t    0.1983\t    0.1706\t    0.0000\t    0.7666\t   2065.60\n",
      "223\t    0.1977\t    0.1706\t    0.0000\t    0.7686\t   2065.65\n",
      "224\t    0.1970\t    0.1706\t    0.0000\t    0.7706\t   2065.70\n",
      "225\t    0.1964\t    0.1706\t    0.0000\t    0.7725\t   2065.75\n",
      "226\t    0.1958\t    0.1706\t    0.0000\t    0.7745\t   2065.80\n",
      "227\t    0.1952\t    0.1706\t    0.0000\t    0.7764\t   2065.85\n",
      "228\t    0.1946\t    0.1706\t    0.0000\t    0.7784\t   2065.90\n",
      "229\t    0.1940\t    0.1706\t    0.0000\t    0.7803\t   2065.95\n",
      "230\t    0.1934\t    0.1706\t    0.0000\t    0.7822\t   2065.99\n",
      "231\t    0.1928\t    0.1706\t    0.0000\t    0.7842\t   2066.04\n",
      "232\t    0.1922\t    0.1706\t    0.0000\t    0.7861\t   2066.09\n",
      "233\t    0.1916\t    0.1706\t    0.0000\t    0.7880\t   2066.14\n",
      "234\t    0.1910\t    0.1706\t    0.0000\t    0.7899\t   2066.19\n",
      "235\t    0.1904\t    0.1706\t    0.0000\t    0.7918\t   2066.24\n",
      "236\t    0.1898\t    0.1706\t    0.0000\t    0.7937\t   2066.28\n",
      "237\t    0.1892\t    0.1706\t    0.0000\t    0.7956\t   2066.33\n",
      "238\t    0.1887\t    0.1706\t    0.0000\t    0.7975\t   2066.38\n",
      "239\t    0.1881\t    0.1706\t    0.0000\t    0.7994\t   2066.43\n",
      "240\t    0.1875\t    0.1706\t    0.0000\t    0.8013\t   2066.48\n",
      "241\t    0.1869\t    0.1706\t    0.0000\t    0.8031\t   2066.52\n",
      "242\t    0.1864\t    0.1706\t    0.0000\t    0.8050\t   2066.57\n",
      "243\t    0.1858\t    0.1706\t    0.0000\t    0.8068\t   2066.62\n",
      "244\t    0.1852\t    0.1706\t    0.0000\t    0.8087\t   2066.66\n",
      "245\t    0.1847\t    0.1706\t    0.0000\t    0.8105\t   2066.71\n",
      "246\t    0.1841\t    0.1706\t    0.0000\t    0.8124\t   2066.76\n",
      "247\t    0.1836\t    0.1706\t    0.0000\t    0.8142\t   2066.80\n",
      "248\t    0.1830\t    0.1706\t    0.0000\t    0.8161\t   2066.85\n",
      "249\t    0.1825\t    0.1706\t    0.0000\t    0.8179\t   2066.90\n",
      "250\t    0.1819\t    0.1706\t    0.0000\t    0.8197\t   2066.94\n",
      "251\t    0.1814\t    0.1706\t    0.0000\t    0.8215\t   2066.99\n",
      "252\t    0.1809\t    0.1706\t    0.0000\t    0.8233\t   2067.04\n",
      "253\t    0.1803\t    0.1706\t    0.0000\t    0.8251\t   2067.08\n",
      "254\t    0.1798\t    0.1706\t    0.0000\t    0.8269\t   2067.13\n",
      "255\t    0.1792\t    0.1706\t    0.0000\t    0.8287\t   2067.17\n",
      "256\t    0.1787\t    0.1706\t    0.0000\t    0.8305\t   2067.22\n",
      "257\t    0.1782\t    0.1706\t    0.0000\t    0.8323\t   2067.26\n",
      "258\t    0.1777\t    0.1706\t    0.0000\t    0.8341\t   2067.31\n",
      "259\t    0.1771\t    0.1706\t    0.0000\t    0.8358\t   2067.35\n",
      "260\t    0.1766\t    0.1706\t    0.0000\t    0.8376\t   2067.40\n",
      "261\t    0.1761\t    0.1706\t    0.0000\t    0.8394\t   2067.44\n",
      "262\t    0.1756\t    0.1706\t    0.0000\t    0.8411\t   2067.49\n",
      "263\t    0.1751\t    0.1706\t    0.0000\t    0.8429\t   2067.53\n",
      "264\t    0.1746\t    0.1706\t    0.0000\t    0.8446\t   2067.58\n",
      "265\t    0.1741\t    0.1706\t    0.0000\t    0.8464\t   2067.62\n",
      "266\t    0.1736\t    0.1706\t    0.0000\t    0.8481\t   2067.67\n",
      "267\t    0.1730\t    0.1706\t    0.0000\t    0.8498\t   2067.71\n",
      "268\t    0.1725\t    0.1706\t    0.0000\t    0.8515\t   2067.75\n",
      "269\t    0.1720\t    0.1706\t    0.0000\t    0.8533\t   2067.80\n",
      "270\t    0.1716\t    0.1706\t    0.0000\t    0.8550\t   2067.84\n",
      "271\t    0.1711\t    0.1706\t    0.0000\t    0.8567\t   2067.89\n",
      "272\t    0.1706\t    0.1706\t    0.0000\t    0.8584\t   2067.93\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.0508\t    0.0172\t    1.7046\t    0.0007\t    282.01\n",
      "  1\t    0.0536\t    0.0256\t    0.8341\t    0.0012\t    381.08\n",
      "  2\t    0.0534\t    0.0307\t    0.5165\t    0.0018\t    442.72\n",
      "  3\t    0.0523\t    0.0344\t    0.3668\t    0.0023\t    486.57\n",
      "  4\t    0.0510\t    0.0372\t    0.2802\t    0.0028\t    520.10\n",
      "  5\t    0.0496\t    0.0395\t    0.2252\t    0.0033\t    547.07\n",
      "  6\t    0.0481\t    0.0413\t    0.1875\t    0.0038\t    569.53\n",
      "  7\t    0.0467\t    0.0429\t    0.1603\t    0.0042\t    588.73\n",
      "  8\t    0.0454\t    0.0443\t    0.1397\t    0.0047\t    605.47\n",
      "  9\t    0.0441\t    0.0456\t    0.1237\t    0.0051\t    620.30\n",
      " 10\t    0.0429\t    0.0467\t    0.1108\t    0.0055\t    633.59\n",
      " 11\t    0.0418\t    0.0477\t    0.1004\t    0.0060\t    645.62\n",
      " 12\t    0.0407\t    0.0486\t    0.0916\t    0.0064\t    656.61\n",
      " 13\t    0.0397\t    0.0494\t    0.0843\t    0.0067\t    666.72\n",
      " 14\t    0.0388\t    0.0502\t    0.0780\t    0.0071\t    676.07\n",
      " 15\t    0.0379\t    0.0509\t    0.0726\t    0.0075\t    684.78\n",
      " 16\t    0.0371\t    0.0516\t    0.0678\t    0.0079\t    692.92\n",
      " 17\t    0.0363\t    0.0523\t    0.0637\t    0.0082\t    700.55\n",
      " 18\t    0.0356\t    0.0529\t    0.0600\t    0.0086\t    707.75\n",
      " 19\t    0.0350\t    0.0534\t    0.0567\t    0.0089\t    714.55\n",
      " 20\t    0.0344\t    0.0540\t    0.0537\t    0.0092\t    721.00\n",
      " 21\t    0.0338\t    0.0545\t    0.0511\t    0.0096\t    727.12\n",
      " 22\t    0.0333\t    0.0550\t    0.0486\t    0.0099\t    732.96\n",
      " 23\t    0.0328\t    0.0554\t    0.0464\t    0.0102\t    738.53\n",
      " 24\t    0.0324\t    0.0559\t    0.0444\t    0.0105\t    743.86\n",
      " 25\t    0.0320\t    0.0563\t    0.0426\t    0.0108\t    748.97\n",
      " 26\t    0.0316\t    0.0567\t    0.0409\t    0.0111\t    753.87\n",
      " 27\t    0.0312\t    0.0571\t    0.0393\t    0.0114\t    758.59\n",
      " 28\t    0.0309\t    0.0575\t    0.0378\t    0.0117\t    763.13\n",
      " 29\t    0.0306\t    0.0578\t    0.0365\t    0.0120\t    767.51\n",
      " 30\t    0.0303\t    0.0582\t    0.0352\t    0.0122\t    771.73\n",
      " 31\t    0.0301\t    0.0585\t    0.0340\t    0.0125\t    775.82\n",
      " 32\t    0.0299\t    0.0589\t    0.0329\t    0.0128\t    779.77\n",
      " 33\t    0.0297\t    0.0592\t    0.0319\t    0.0131\t    783.60\n",
      " 34\t    0.0295\t    0.0595\t    0.0309\t    0.0133\t    787.31\n",
      " 35\t    0.0293\t    0.0598\t    0.0300\t    0.0136\t    790.91\n",
      " 36\t    0.0291\t    0.0601\t    0.0292\t    0.0139\t    794.41\n",
      " 37\t    0.0290\t    0.0604\t    0.0283\t    0.0141\t    797.81\n",
      " 38\t    0.0288\t    0.0606\t    0.0276\t    0.0144\t    801.12\n",
      " 39\t    0.0287\t    0.0609\t    0.0268\t    0.0147\t    804.33\n",
      " 40\t    0.0286\t    0.0612\t    0.0261\t    0.0149\t    807.47\n",
      " 41\t    0.0284\t    0.0614\t    0.0255\t    0.0152\t    810.53\n",
      " 42\t    0.0283\t    0.0617\t    0.0249\t    0.0154\t    813.51\n",
      " 43\t    0.0282\t    0.0619\t    0.0243\t    0.0157\t    816.42\n",
      " 44\t    0.0282\t    0.0621\t    0.0237\t    0.0159\t    819.26\n",
      " 45\t    0.0281\t    0.0624\t    0.0231\t    0.0162\t    822.04\n",
      " 46\t    0.0280\t    0.0626\t    0.0226\t    0.0165\t    824.75\n",
      " 47\t    0.0279\t    0.0628\t    0.0221\t    0.0167\t    827.41\n",
      " 48\t    0.0279\t    0.0630\t    0.0217\t    0.0170\t    830.01\n",
      " 49\t    0.0278\t    0.0633\t    0.0212\t    0.0172\t    832.55\n",
      " 50\t    0.0277\t    0.0635\t    0.0208\t    0.0175\t    835.04\n",
      " 51\t    0.0277\t    0.0637\t    0.0203\t    0.0177\t    837.48\n",
      " 52\t    0.0276\t    0.0639\t    0.0199\t    0.0179\t    839.87\n",
      " 53\t    0.0276\t    0.0641\t    0.0195\t    0.0182\t    842.22\n",
      " 54\t    0.0275\t    0.0643\t    0.0192\t    0.0184\t    844.52\n",
      " 55\t    0.0275\t    0.0644\t    0.0188\t    0.0187\t    846.78\n",
      " 56\t    0.0275\t    0.0646\t    0.0185\t    0.0189\t    849.00\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.6724\t    0.0317\t    3.0753\t    0.0069\t    426.75\n",
      "  1\t    0.7734\t    0.0437\t    1.2037\t    0.0146\t    568.65\n",
      "  2\t    0.7622\t    0.0500\t    0.6497\t    0.0223\t    646.05\n",
      "  3\t    0.7235\t    0.0541\t    0.4163\t    0.0295\t    695.89\n",
      "  4\t    0.6779\t    0.0570\t    0.2986\t    0.0363\t    731.77\n",
      "  5\t    0.6323\t    0.0592\t    0.2274\t    0.0426\t    759.18\n",
      "  6\t    0.5885\t    0.0610\t    0.1814\t    0.0485\t    781.11\n",
      "  7\t    0.5473\t    0.0624\t    0.1497\t    0.0539\t    799.25\n",
      "  8\t    0.5089\t    0.0637\t    0.1267\t    0.0590\t    814.66\n",
      "  9\t    0.4733\t    0.0647\t    0.1095\t    0.0638\t    828.00\n",
      " 10\t    0.4404\t    0.0657\t    0.0961\t    0.0682\t    839.74\n",
      " 11\t    0.4099\t    0.0665\t    0.0855\t    0.0722\t    850.21\n",
      " 12\t    0.3817\t    0.0673\t    0.0769\t    0.0760\t    859.65\n",
      " 13\t    0.3556\t    0.0679\t    0.0699\t    0.0796\t    868.24\n",
      " 14\t    0.3316\t    0.0686\t    0.0640\t    0.0829\t    876.11\n",
      " 15\t    0.3095\t    0.0691\t    0.0560\t    0.0860\t    883.02\n",
      " 16\t    0.2889\t    0.0696\t    0.0521\t    0.0888\t    889.44\n",
      " 17\t    0.2699\t    0.0701\t    0.0486\t    0.0915\t    895.45\n",
      " 18\t    0.2524\t    0.0705\t    0.0456\t    0.0940\t    901.09\n",
      " 19\t    0.2363\t    0.0710\t    0.0430\t    0.0963\t    906.40\n",
      " 20\t    0.2214\t    0.0714\t    0.0406\t    0.0985\t    911.42\n",
      " 21\t    0.2077\t    0.0718\t    0.0385\t    0.1005\t    916.19\n",
      " 22\t    0.1950\t    0.0721\t    0.0367\t    0.1024\t    920.72\n",
      " 23\t    0.1834\t    0.0725\t    0.0350\t    0.1042\t    925.05\n",
      " 24\t    0.1728\t    0.0728\t    0.0335\t    0.1059\t    929.18\n",
      " 25\t    0.1630\t    0.0731\t    0.0321\t    0.1075\t    933.14\n",
      " 26\t    0.1540\t    0.0734\t    0.0308\t    0.1089\t    936.95\n",
      " 27\t    0.1458\t    0.0737\t    0.0296\t    0.1103\t    940.60\n",
      " 28\t    0.1383\t    0.0740\t    0.0286\t    0.1116\t    944.13\n",
      " 29\t    0.1315\t    0.0743\t    0.0276\t    0.1128\t    947.53\n",
      " 30\t    0.1253\t    0.0745\t    0.0267\t    0.1139\t    950.81\n",
      " 31\t    0.1197\t    0.0748\t    0.0258\t    0.1150\t    953.99\n",
      " 32\t    0.1146\t    0.0750\t    0.0250\t    0.1160\t    957.07\n",
      " 33\t    0.1100\t    0.0753\t    0.0243\t    0.1170\t    960.06\n",
      " 34\t    0.1058\t    0.0755\t    0.0236\t    0.1179\t    962.95\n",
      " 35\t    0.1021\t    0.0758\t    0.0230\t    0.1187\t    965.77\n",
      " 36\t    0.0987\t    0.0760\t    0.0224\t    0.1195\t    968.51\n",
      " 37\t    0.0957\t    0.0762\t    0.0218\t    0.1203\t    971.18\n",
      " 38\t    0.0930\t    0.0764\t    0.0213\t    0.1210\t    973.78\n",
      " 39\t    0.0906\t    0.0766\t    0.0207\t    0.1217\t    976.31\n",
      " 40\t    0.0885\t    0.0768\t    0.0203\t    0.1224\t    978.79\n",
      " 41\t    0.0866\t    0.0770\t    0.0198\t    0.1230\t    981.21\n",
      " 42\t    0.0849\t    0.0772\t    0.0194\t    0.1236\t    983.57\n",
      " 43\t    0.0834\t    0.0774\t    0.0190\t    0.1242\t    985.88\n",
      " 44\t    0.0820\t    0.0776\t    0.0186\t    0.1247\t    988.14\n",
      " 45\t    0.0809\t    0.0778\t    0.0182\t    0.1253\t    990.35\n",
      " 46\t    0.0798\t    0.0779\t    0.0178\t    0.1258\t    992.51\n",
      " 47\t    0.0789\t    0.0781\t    0.0175\t    0.1263\t    994.64\n",
      " 48\t    0.0781\t    0.0783\t    0.0171\t    0.1267\t    996.72\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.2384\t    0.0214\t    2.1118\t    0.0026\t    327.53\n",
      "  1\t    0.2953\t    0.0312\t    0.9726\t    0.0055\t    442.78\n",
      "  2\t    0.3030\t    0.0369\t    0.5781\t    0.0085\t    511.71\n",
      "  3\t    0.2970\t    0.0409\t    0.3952\t    0.0115\t    558.94\n",
      "  4\t    0.2862\t    0.0438\t    0.2944\t    0.0144\t    594.18\n",
      "  5\t    0.2737\t    0.0461\t    0.2319\t    0.0171\t    621.97\n",
      "  6\t    0.2606\t    0.0480\t    0.1900\t    0.0197\t    644.75\n",
      "  7\t    0.2476\t    0.0496\t    0.1601\t    0.0222\t    663.97\n",
      "  8\t    0.2349\t    0.0509\t    0.1379\t    0.0245\t    680.53\n",
      "  9\t    0.2227\t    0.0521\t    0.1208\t    0.0268\t    695.04\n",
      " 10\t    0.2110\t    0.0532\t    0.1073\t    0.0289\t    707.94\n",
      " 11\t    0.1998\t    0.0542\t    0.0964\t    0.0309\t    719.53\n",
      " 12\t    0.1892\t    0.0550\t    0.0874\t    0.0328\t    730.04\n",
      " 13\t    0.1792\t    0.0558\t    0.0799\t    0.0345\t    739.65\n",
      " 14\t    0.1697\t    0.0566\t    0.0735\t    0.0362\t    748.50\n",
      " 15\t    0.1608\t    0.0572\t    0.0680\t    0.0378\t    756.69\n",
      " 16\t    0.1523\t    0.0579\t    0.0633\t    0.0394\t    764.31\n",
      " 17\t    0.1443\t    0.0585\t    0.0591\t    0.0408\t    771.43\n",
      " 18\t    0.1368\t    0.0590\t    0.0555\t    0.0421\t    778.12\n",
      " 19\t    0.1298\t    0.0595\t    0.0523\t    0.0434\t    784.42\n",
      " 20\t    0.1231\t    0.0600\t    0.0494\t    0.0447\t    790.38\n",
      " 21\t    0.1169\t    0.0605\t    0.0468\t    0.0458\t    796.02\n",
      " 22\t    0.1110\t    0.0609\t    0.0445\t    0.0469\t    801.39\n",
      " 23\t    0.1055\t    0.0614\t    0.0424\t    0.0479\t    806.50\n",
      " 24\t    0.1004\t    0.0618\t    0.0405\t    0.0489\t    811.38\n",
      " 25\t    0.0955\t    0.0622\t    0.0387\t    0.0499\t    816.05\n",
      " 26\t    0.0910\t    0.0625\t    0.0371\t    0.0507\t    820.53\n",
      " 27\t    0.0868\t    0.0629\t    0.0356\t    0.0516\t    824.83\n",
      " 28\t    0.0828\t    0.0632\t    0.0343\t    0.0524\t    828.96\n",
      " 29\t    0.0791\t    0.0636\t    0.0330\t    0.0532\t    832.94\n",
      " 30\t    0.0757\t    0.0639\t    0.0319\t    0.0539\t    836.78\n",
      " 31\t    0.0725\t    0.0642\t    0.0308\t    0.0546\t    840.49\n",
      " 32\t    0.0695\t    0.0645\t    0.0298\t    0.0552\t    844.08\n",
      " 33\t    0.0668\t    0.0648\t    0.0288\t    0.0558\t    847.56\n",
      " 34\t    0.0642\t    0.0650\t    0.0279\t    0.0564\t    850.92\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.1630\t    0.0184\t    1.8156\t    0.0018\t    295.09\n",
      "  1\t    0.2159\t    0.0276\t    0.9136\t    0.0040\t    403.49\n",
      "  2\t    0.2283\t    0.0332\t    0.5607\t    0.0062\t    470.37\n",
      "  3\t    0.2272\t    0.0371\t    0.3917\t    0.0085\t    517.19\n",
      "  4\t    0.2212\t    0.0400\t    0.2945\t    0.0107\t    552.43\n",
      "  5\t    0.2130\t    0.0423\t    0.2332\t    0.0129\t    580.36\n",
      "  6\t    0.2039\t    0.0442\t    0.1917\t    0.0149\t    603.34\n",
      "  7\t    0.1945\t    0.0458\t    0.1620\t    0.0168\t    622.77\n",
      "  8\t    0.1851\t    0.0472\t    0.1397\t    0.0187\t    639.53\n",
      "  9\t    0.1760\t    0.0485\t    0.1226\t    0.0205\t    654.24\n",
      " 10\t    0.1671\t    0.0495\t    0.1090\t    0.0221\t    667.33\n",
      " 11\t    0.1586\t    0.0505\t    0.0979\t    0.0237\t    679.09\n",
      " 12\t    0.1504\t    0.0514\t    0.0888\t    0.0252\t    689.76\n",
      " 13\t    0.1426\t    0.0522\t    0.0812\t    0.0266\t    699.52\n",
      " 14\t    0.1352\t    0.0530\t    0.0748\t    0.0280\t    708.50\n",
      " 15\t    0.1282\t    0.0537\t    0.0692\t    0.0293\t    716.82\n",
      " 16\t    0.1216\t    0.0543\t    0.0644\t    0.0305\t    724.57\n",
      " 17\t    0.1153\t    0.0549\t    0.0602\t    0.0316\t    731.81\n",
      " 18\t    0.1093\t    0.0555\t    0.0565\t    0.0327\t    738.60\n",
      " 19\t    0.1037\t    0.0560\t    0.0532\t    0.0337\t    745.01\n",
      " 20\t    0.0983\t    0.0565\t    0.0503\t    0.0347\t    751.06\n",
      " 21\t    0.0933\t    0.0570\t    0.0477\t    0.0356\t    756.79\n",
      " 22\t    0.0886\t    0.0574\t    0.0453\t    0.0365\t    762.25\n",
      " 23\t    0.0841\t    0.0578\t    0.0432\t    0.0374\t    767.44\n",
      " 24\t    0.0799\t    0.0583\t    0.0412\t    0.0382\t    772.40\n",
      " 25\t    0.0760\t    0.0587\t    0.0394\t    0.0389\t    777.14\n",
      " 26\t    0.0722\t    0.0590\t    0.0378\t    0.0396\t    781.69\n",
      " 27\t    0.0687\t    0.0594\t    0.0363\t    0.0403\t    786.06\n",
      " 28\t    0.0655\t    0.0597\t    0.0349\t    0.0409\t    790.26\n",
      " 29\t    0.0624\t    0.0601\t    0.0336\t    0.0415\t    794.30\n",
      " 30\t    0.0595\t    0.0604\t    0.0324\t    0.0421\t    798.20\n",
      "Accuracy: 0.4125\n"
     ]
    }
   ],
   "source": [
    "# Apply logreg function to get the weights of the model\n",
    "# use mu comes from grid search with cross validation\n",
    "\n",
    "mu = 1.0  # Regularization parameter\n",
    "rho = 1.0  # Augmented Lagrangian parameter\n",
    "alpha = 1.0  # Over-relaxation parameter\n",
    "\n",
    "# Determine the number of classes\n",
    "num_classes = np.unique(y_train).shape[0]\n",
    "\n",
    "# Train multiple logistic regression models (one-vs-all)\n",
    "models = []\n",
    "for i in range(num_classes):\n",
    "    # Create a multi label vector for the current class\n",
    "    y_train_multi = np.where(y_train == i, 1, 0)\n",
    "    \n",
    "    # Train the logistic regression model using logreg function\n",
    "    weights = logreg(X_train_pca, y_train_multi, mu, rho, alpha)\n",
    "    \n",
    "    # Save the trained model\n",
    "    models.append(weights)\n",
    "\n",
    "# Make predictions on the testing samples\n",
    "y_pred_probabilities = np.zeros((X_test_pca.shape[0], num_classes))\n",
    "for i in range(num_classes):\n",
    "    weights = models[i]\n",
    "    y_pred_probabilities[:, i] = 1 / (1 + np.exp(-(X_test_pca @ weights[1:] + weights[0])))\n",
    "\n",
    "# Assign the class label with the highest probability as the predicted class\n",
    "y_pred = np.argmax(y_pred_probabilities, axis=1)\n",
    "\n",
    "# Calculate accuracy\n",
    "accuracy = (y_pred == y_test).mean()\n",
    "print(\"Accuracy:\", accuracy)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7fd2459",
   "metadata": {},
   "source": [
    "# step 8"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a30c87a",
   "metadata": {},
   "source": [
    "#### Determine the confusion matrix and calculate the overall accuracy, class accuracies, sensitivity, specificity and recall values\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "cdc69cf5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Confusion Matrix:\n",
      "[[33  0  0  0  0]\n",
      " [ 6  0  0  0  0]\n",
      " [25  0  0  0  0]\n",
      " [10  0  0  0  0]\n",
      " [ 6  0  0  0  0]]\n",
      "Classification Report:\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "           0       0.41      1.00      0.58        33\n",
      "           1       0.00      0.00      0.00         6\n",
      "           2       0.00      0.00      0.00        25\n",
      "           3       0.00      0.00      0.00        10\n",
      "           4       0.00      0.00      0.00         6\n",
      "\n",
      "    accuracy                           0.41        80\n",
      "   macro avg       0.08      0.20      0.12        80\n",
      "weighted avg       0.17      0.41      0.24        80\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/bernayilmaz/opt/anaconda3/lib/python3.9/site-packages/sklearn/metrics/_classification.py:1318: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/Users/bernayilmaz/opt/anaconda3/lib/python3.9/site-packages/sklearn/metrics/_classification.py:1318: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/Users/bernayilmaz/opt/anaconda3/lib/python3.9/site-packages/sklearn/metrics/_classification.py:1318: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n"
     ]
    }
   ],
   "source": [
    "# Calculate the confusion matrix\n",
    "cm = confusion_matrix(y_test, y_pred)\n",
    "print(\"Confusion Matrix:\")\n",
    "print(cm)\n",
    "\n",
    "# Calculate classification report with accuracy, class accuracies, sensitivity, specificity, and recall values\n",
    "report = classification_report(y_test, y_pred)\n",
    "print(\"Classification Report:\")\n",
    "print(report)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85438997",
   "metadata": {},
   "source": [
    "# step 9"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e38a899",
   "metadata": {},
   "source": [
    "#### Apply Non-negative Matrix Factorization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8719f838",
   "metadata": {},
   "source": [
    "NMF is a linear dimensionality reduction technique that factorizes the input matrix into two lower-rank matrices, typically representing the latent features and their corresponding coefficients.\n",
    "\n",
    "NMF aims to find a non-negative factorization of the data, which can be particularly useful for data with non-negative values or when non-negativity constraints are desired.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "4dc2e5d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def NMF(V, r, threshold, max_iterations):\n",
    "    \n",
    "    # r rank \n",
    "    m, n = V.shape\n",
    "    \n",
    "    # Initialize W and H with random values\n",
    "    W = np.random.rand(m, r)\n",
    "    H = np.random.rand(r, n)\n",
    "    \n",
    "    e = 1.0e-8 # Small value for numerical stability\n",
    "    \n",
    "    for i in range(max_iterations):\n",
    "        \n",
    "        # Store previous values of H and W for difference calculation\n",
    "        H_prev = H.copy()\n",
    "        W_prev = W.copy()\n",
    "        \n",
    "        # Update H\n",
    "        numerator = np.dot(np.transpose(W), V)\n",
    "        denominator = np.dot(np.dot(np.transpose(W), W), H) + e\n",
    "        H *= numerator / denominator\n",
    "        \n",
    "        # Update W\n",
    "        numerator = np.dot(V, np.transpose(H))\n",
    "        denominator = np.dot(W, np.dot(H, np.transpose(H))) + e\n",
    "        W *= numerator / denominator\n",
    "        \n",
    "        # Calculate the difference between consecutive iterations\n",
    "        diff_H = np.linalg.norm(H - H_prev)\n",
    "        diff_W = np.linalg.norm(W - W_prev)\n",
    "        \n",
    "        # Check the stopping criterion\n",
    "        if diff_H < threshold and diff_W < threshold:\n",
    "            break\n",
    "        \n",
    "    return W, H\n",
    "\n",
    "\n",
    "r = 3 \n",
    "threshold = 0.0001\n",
    "max_iterations = 1000\n",
    "\n",
    "W, H = NMF(X, r, threshold, max_iterations)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "9c544817",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Feature matrix W:\n",
      "[[1.17606593e-01 1.44134229e+00 2.79225128e-01]\n",
      " [4.57346684e-01 5.15438100e-01 6.84572625e-01]\n",
      " [2.96588256e-01 3.14297232e-01 7.60793738e-01]\n",
      " [1.18915074e+00 3.80289774e-01 5.96499654e-02]\n",
      " [1.00520691e+00 7.67680436e-01 7.26355418e-01]\n",
      " [3.49232790e-01 4.09395789e-01 2.56799131e-01]\n",
      " [4.91805373e-01 7.04832649e-01 6.94748498e-01]\n",
      " [8.10434747e-01 4.58134665e-01 4.42713382e-01]\n",
      " [8.03698209e-01 5.78219342e-01 7.98268770e-01]\n",
      " [7.98386134e-02 9.12717536e-01 7.17702312e-01]\n",
      " [1.25339694e+00 4.94708992e-01 3.88415932e-01]\n",
      " [4.57294581e-01 9.98242545e-01 3.97598212e-01]\n",
      " [2.16928979e-01 6.70409086e-01 6.85752549e-01]\n",
      " [3.05520712e+00 1.01743765e+00 1.87720624e-01]\n",
      " [4.95631281e-01 4.71856429e-01 7.31055939e-01]\n",
      " [8.55997907e-02 8.69625836e-01 2.03591791e-01]\n",
      " [6.49361595e-01 2.64334868e-01 1.05260432e+00]\n",
      " [5.24351805e-01 6.05554156e-01 5.75731982e-01]\n",
      " [3.06039590e-01 3.15462378e-01 2.99427328e-01]\n",
      " [3.99287594e-01 1.43682661e+00 3.46000617e-01]\n",
      " [1.34085767e+00 8.93771467e-01 5.14720906e-01]\n",
      " [9.96102348e-01 1.25061935e+00 7.29680747e-01]\n",
      " [1.81121427e-01 1.59911915e+00 7.01131371e-01]\n",
      " [2.98173515e-01 6.17998830e-01 7.54759053e-01]\n",
      " [4.41102133e-01 1.90732702e+00 3.11933941e-01]\n",
      " [3.77063487e-01 1.01181219e+00 3.12072325e-01]\n",
      " [2.50241851e-01 1.70942353e+00 3.60910437e-01]\n",
      " [2.34595262e+00 4.17165407e-01 2.47155562e-02]\n",
      " [1.62052027e+00 1.27528226e+00 3.60933795e-02]\n",
      " [6.65941729e-01 8.54037961e-01 5.41306164e-01]\n",
      " [6.95152936e-01 4.76387232e-01 4.60171182e-02]\n",
      " [2.89572920e+00 2.85349914e-01 3.05823534e-01]\n",
      " [1.66794805e+00 4.66279725e-01 2.74082033e-01]\n",
      " [1.66016256e+00 1.66500809e+00 4.85593537e-01]\n",
      " [1.97614941e+00 6.57816908e-01 2.20068306e-01]\n",
      " [1.69897071e-01 1.34120140e-01 8.03876568e-01]\n",
      " [3.47748437e-01 3.87909053e-01 4.49506076e-01]\n",
      " [6.19088295e-01 6.42043124e-01 4.61470715e-01]\n",
      " [1.05346489e+00 4.09468029e-01 3.17844200e-01]\n",
      " [2.15851152e-01 4.81196994e-01 1.67585451e-01]\n",
      " [9.93825187e-01 7.52544513e-01 9.60978829e-01]\n",
      " [8.19933633e-01 5.35065846e-01 7.56863461e-01]\n",
      " [7.58345510e-01 6.88936895e-01 6.15731961e-01]\n",
      " [6.49171005e-01 6.56881402e-01 1.44146565e-01]\n",
      " [1.53482710e+00 5.29470948e-01 3.38043518e-01]\n",
      " [1.31046240e+00 1.27691064e-01 7.59260230e-01]\n",
      " [2.64052456e-01 5.73546767e-01 5.61018740e-01]\n",
      " [1.90227382e+00 2.97060500e-01 5.62316941e-01]\n",
      " [2.32828281e-01 1.85203393e+00 2.03975967e-01]\n",
      " [1.75805728e-01 1.05791225e+00 3.83807164e-01]\n",
      " [7.70313470e-01 8.57587657e-01 7.49479930e-01]\n",
      " [8.40304125e-01 2.59689566e-01 9.43709453e-01]\n",
      " [1.04492584e+00 1.34230967e+00 6.84805361e-01]\n",
      " [2.79377183e-01 1.01151935e+00 2.72335210e-01]\n",
      " [5.42851072e-01 1.82481571e-01 1.07947629e+00]\n",
      " [3.25895007e-01 7.28378402e-01 3.15958606e-01]\n",
      " [5.70307239e-01 2.80002901e-01 1.00435308e+00]\n",
      " [2.52797205e-02 1.46399993e+00 6.36372036e-01]\n",
      " [1.09532253e+00 2.81007981e-01 7.13152613e-01]\n",
      " [5.88270329e-01 9.76678568e-01 3.50424192e-01]\n",
      " [4.16947556e-02 1.61094303e+00 5.80473332e-01]\n",
      " [4.12651269e-01 4.54474537e-01 2.67302203e-01]\n",
      " [3.86229620e-05 8.11677120e-01 1.21339508e+00]\n",
      " [3.72289662e-01 2.25740391e-01 7.01543085e-01]\n",
      " [8.72861368e-01 4.64388078e-01 7.80783832e-01]\n",
      " [6.39559599e-01 1.25738301e+00 9.57715328e-01]\n",
      " [1.75052019e-02 5.98737591e-01 4.98795657e-01]\n",
      " [4.13177421e-01 5.93303772e-01 1.23116734e-01]\n",
      " [1.02637586e+00 1.24032493e+00 5.47545575e-01]\n",
      " [1.60450153e-01 1.41455199e+00 1.70075020e-01]\n",
      " [1.77212456e+00 5.03821347e-01 6.32235927e-01]\n",
      " [8.68598527e-01 1.10573393e+00 1.21344046e-01]\n",
      " [1.13624481e-01 5.02212980e-01 3.75530755e-01]\n",
      " [4.88163186e-01 1.18401223e+00 5.05246499e-01]\n",
      " [1.57369315e-01 8.62184312e-01 4.63634609e-01]\n",
      " [3.36032283e-01 1.15690340e+00 2.78110743e-01]\n",
      " [4.02735123e-01 4.72343240e-01 4.98191823e-01]\n",
      " [3.86418408e-01 1.04968586e+00 2.67388961e-01]\n",
      " [2.96802177e-01 7.24035968e-01 1.93387337e-01]\n",
      " [3.98196236e-01 4.80454698e-01 4.23321902e-01]\n",
      " [7.34613519e-01 4.93473009e-01 8.30332725e-01]\n",
      " [2.00079591e+00 1.75030856e-01 4.59310427e-01]\n",
      " [4.10733575e-01 4.09298103e-01 4.24237656e-01]\n",
      " [1.97244834e-01 4.50025217e-01 6.15077998e-01]\n",
      " [1.68354303e+00 4.21443974e-01 2.33450319e-01]\n",
      " [4.30124100e-01 4.76721743e-01 9.26470350e-01]\n",
      " [5.48149849e-01 5.25117342e-01 7.26228617e-01]\n",
      " [7.04897572e-01 5.22324603e-01 1.01106477e+00]\n",
      " [1.38617458e-01 1.19660575e+00 5.58113107e-01]\n",
      " [6.65343766e-01 7.71191592e-01 6.43730753e-01]\n",
      " [1.53444565e+00 7.11401653e-01 5.52546067e-01]\n",
      " [4.19859701e-01 6.87793133e-01 5.70173047e-01]\n",
      " [1.59944907e-01 1.65899508e+00 3.60393956e-01]\n",
      " [8.20668356e-01 1.60496757e+00 3.65982618e-01]\n",
      " [1.97659355e+00 6.90899615e-01 2.74096974e-01]\n",
      " [3.63805949e-01 4.85100487e-01 5.12277897e-01]\n",
      " [7.61277104e-01 2.04793819e+00 6.57765693e-01]\n",
      " [9.17693375e-01 1.26220608e+00 6.23794651e-01]\n",
      " [5.58588444e-02 2.10991983e+00 1.91816089e-01]\n",
      " [2.49791603e-01 9.66597378e-01 1.15323368e-01]\n",
      " [5.53209186e-01 5.65098482e-01 3.39388102e-01]\n",
      " [1.89433521e-01 4.93130433e-01 7.47953792e-01]\n",
      " [5.04254468e-01 6.62371283e-01 2.92713381e-01]\n",
      " [2.40803658e+00 3.43169206e-01 1.41016177e-01]\n",
      " [1.96501008e-01 1.64190370e+00 2.14850423e-01]\n",
      " [6.61295758e-01 3.46043089e-01 4.31260952e-01]\n",
      " [4.31918790e-01 6.27685452e-01 2.08597436e-01]\n",
      " [7.13306141e-01 1.01047271e+00 4.53845811e-01]\n",
      " [1.81461573e+00 2.21934796e-01 6.77169644e-01]\n",
      " [3.44271798e-01 9.22912609e-01 2.36764529e-01]\n",
      " [4.85116590e-01 1.40496466e-01 7.61184972e-01]\n",
      " [7.79327332e-01 1.36800298e-01 5.94735592e-01]\n",
      " [8.51720557e-01 3.88833293e-01 3.18486202e-01]\n",
      " [1.69269516e+00 5.23261023e-01 5.65252347e-01]\n",
      " [2.25005916e-01 4.57872790e-01 2.61289357e-01]\n",
      " [6.01655263e-01 8.25535011e-01 6.81785474e-01]\n",
      " [9.88612679e-01 1.83915461e-01 8.94334005e-01]\n",
      " [9.88462251e-01 4.20931160e-01 3.60207765e-01]\n",
      " [1.62841051e-01 4.26529994e-01 5.15385497e-01]\n",
      " [3.69862558e-01 1.18646273e+00 9.30104663e-01]\n",
      " [8.17367032e-01 1.56901504e+00 1.03552715e-01]\n",
      " [6.24522891e-02 9.82254498e-01 1.84334043e-01]\n",
      " [4.21270270e-01 1.20170536e+00 3.95417553e-01]\n",
      " [4.48797001e-01 8.28271793e-01 4.53008110e-01]\n",
      " [1.76900141e+00 5.37585034e-01 3.06342969e-01]\n",
      " [1.07799914e-01 1.50994945e+00 2.01202322e-01]\n",
      " [1.97344643e-01 5.58625160e-01 1.14047262e+00]\n",
      " [5.14410809e-02 2.42004516e-01 6.29705468e-01]\n",
      " [3.09958845e-01 1.79738919e+00 6.37071757e-01]\n",
      " [4.50430248e-01 2.71650239e-01 4.20709078e-01]\n",
      " [1.11970940e+00 8.65025020e-01 8.47687478e-01]\n",
      " [4.85570853e-01 1.73498717e+00 6.71771998e-01]\n",
      " [1.85945716e+00 6.44894663e-01 1.88154263e-01]\n",
      " [1.99656224e-01 1.46897932e+00 2.66121706e-01]\n",
      " [4.20629897e-01 1.05113984e+00 5.59564799e-01]\n",
      " [4.30750197e-01 2.40326389e-01 1.23163822e+00]\n",
      " [5.72045148e-01 3.30547883e-01 8.08634781e-01]\n",
      " [4.84940923e-01 5.93552196e-01 4.38663743e-01]\n",
      " [5.95251580e-01 3.86324275e-01 7.19472274e-01]\n",
      " [7.62782986e-01 1.84875844e-01 1.01655348e+00]\n",
      " [9.30322136e-01 1.07063405e-01 5.78388892e-01]\n",
      " [1.54088843e-01 1.16520127e+00 1.07006646e+00]\n",
      " [1.07716979e+00 1.85663919e-01 7.26985170e-01]\n",
      " [1.18758063e+00 5.21237950e-01 9.25837751e-01]\n",
      " [3.80224943e-01 3.51451037e-01 5.73697421e-01]\n",
      " [3.69262147e-01 1.73997968e-01 1.01214056e+00]\n",
      " [4.37109513e-01 5.20093333e-01 5.00959415e-01]\n",
      " [3.50492059e-02 5.88359019e-01 4.35771788e-01]\n",
      " [1.12516055e+00 1.01194864e-01 7.35004306e-01]\n",
      " [3.45164290e-01 3.79933084e-01 2.60565456e-01]\n",
      " [5.63607833e-01 2.31563843e-01 7.05559901e-01]\n",
      " [3.23462482e+00 4.48134790e-01 5.15787006e-02]\n",
      " [6.23535048e-01 1.01584298e-01 8.08555326e-01]\n",
      " [7.84568326e-02 3.97935838e-01 1.31240632e+00]\n",
      " [1.21829391e+00 8.80721334e-01 1.80145335e-01]\n",
      " [3.58428380e-01 3.31086629e-01 7.74473398e-01]\n",
      " [7.65802885e-01 5.41323878e-01 2.61777897e-01]\n",
      " [3.42566436e-02 1.06120512e+00 9.13471728e-01]\n",
      " [8.21249320e-01 2.87438372e-01 7.95472818e-01]\n",
      " [4.67930349e-01 6.02824421e-01 4.25589890e-01]\n",
      " [3.96006929e-01 4.69736959e-01 3.87038726e-01]\n",
      " [1.38933054e+00 3.16370340e-01 5.42366446e-01]\n",
      " [1.97596228e-01 5.11133544e-01 7.06095153e-01]\n",
      " [1.31043297e-01 1.66529137e+00 2.18208981e-01]\n",
      " [6.61147776e-02 1.08897344e+00 1.93487199e-01]\n",
      " [1.62063903e+00 1.00375819e+00 3.88364484e-02]\n",
      " [1.73284625e+00 1.39171955e+00 3.47056507e-01]\n",
      " [3.44048198e-01 5.03436305e-01 9.18695600e-01]\n",
      " [7.68228757e-01 1.13760718e+00 5.94692450e-01]\n",
      " [3.78332038e-03 5.63598256e-01 3.34898135e-01]\n",
      " [4.75049758e-01 6.44875704e-01 3.05331676e-01]\n",
      " [5.17050657e-01 3.41404647e-01 6.38148389e-01]\n",
      " [3.22951066e-01 8.26661983e-01 5.57487929e-01]\n",
      " [4.54517247e-01 9.17420596e-01 5.38906756e-01]\n",
      " [9.17820456e-01 5.68927411e-01 4.12531970e-01]\n",
      " [1.23680127e+00 7.15664907e-01 8.72504247e-01]\n",
      " [1.02088436e-01 3.12620926e-01 8.52591954e-01]\n",
      " [6.49976703e-01 1.06889979e+00 1.48973119e-01]\n",
      " [7.82542520e-01 7.83094378e-01 3.89270891e-01]\n",
      " [2.78620965e-01 5.29782758e-01 1.13177106e+00]\n",
      " [4.43571254e-02 1.28336817e+00 3.00312132e-01]\n",
      " [5.71738992e-01 4.85653002e-01 8.73148659e-01]\n",
      " [2.90158094e-01 6.14561573e-01 2.24104785e-01]\n",
      " [4.83890070e-01 7.50995593e-01 4.45611690e-01]\n",
      " [6.41303769e-02 2.22236921e+00 1.41273894e-01]\n",
      " [1.85725482e+00 1.36279813e+00 2.84219366e-01]\n",
      " [8.84272604e-01 1.72670944e-01 9.90808271e-01]\n",
      " [3.68340769e-01 3.37729885e-01 7.31829658e-01]\n",
      " [4.19526967e-01 1.76369906e+00 9.41861519e-01]\n",
      " [7.17633420e-01 9.05653607e-01 8.80050087e-01]\n",
      " [6.24503578e-01 8.19304428e-01 8.07255600e-01]\n",
      " [4.72102762e-01 3.73246412e-01 2.32409286e-01]\n",
      " [9.63830915e-01 5.73222481e-01 9.67386502e-01]\n",
      " [1.21946046e+00 1.07437138e-16 9.17452190e-01]\n",
      " [3.25500819e-02 1.85347730e+00 7.16705211e-01]\n",
      " [1.03425520e+00 3.97711491e-01 6.49775577e-01]\n",
      " [3.09854689e-01 6.65440119e-01 1.36470551e-01]\n",
      " [2.05975512e-01 2.56554826e-01 8.94908958e-01]\n",
      " [1.22187448e-01 7.27244889e-01 3.35519219e-01]\n",
      " [8.68846154e-01 4.90585763e-01 3.99115177e-01]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Feature matrix W:\")\n",
    "print(W)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "51bfb469",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Observation matrix H:\n",
      "[[19.59608315  0.17562766  0.43076742  0.08144101  1.04100109]\n",
      " [ 4.1951655   0.10814223  0.22954529  0.24578039 16.30517458]\n",
      " [52.41356788  0.53165749  0.69655032  0.38814219  6.15071783]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Observation matrix H:\")\n",
    "print(H)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ea263711",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training data shape: (120, 5) (120,)\n",
      "Testing data shape: (80, 5) (80,)\n"
     ]
    }
   ],
   "source": [
    "X_nmf = np.dot(W, H)\n",
    "# Split the data into training and testing sets\n",
    "X_train_nmf, X_test_nmf, y_train, y_test = train_test_split(X_nmf, y, test_size=0.4, random_state=42)\n",
    "print(\"Training data shape:\", X_train_nmf.shape, y_train.shape)\n",
    "print(\"Testing data shape:\", X_test_nmf.shape, y_test.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "2e449c96",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best penalty parameter: 1.0\n"
     ]
    }
   ],
   "source": [
    "# Define the mu parameter grid\n",
    "penalty_params = [1, 0.1, 0.01, 0.001]\n",
    "\n",
    "# Perform grid search with cross-validation\n",
    "model = LogisticRegressionCV(Cs=penalty_params, cv=5, penalty='l1', solver='liblinear')\n",
    "model.fit(X_train_nmf, y_train)\n",
    "\n",
    "# Get the best penalty parameter\n",
    "best_penalty = model.C_[0]\n",
    "print(\"Best penalty parameter:\", best_penalty)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "181015c2",
   "metadata": {},
   "source": [
    "##### 1. Apply logreg function to get the weights of the model\n",
    "##### 2. Train multiple logistic regression models (one-vs-all)\n",
    "##### 3. Use the encoding coefficients as features for samples\n",
    "##### 4. Make predictions on the testing samples\n",
    "##### 5. Calculate accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "9488bb71",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.3065\t    0.0033\t    0.0032\t    0.0033\t      0.39\n",
      "  1\t    0.2788\t    0.0030\t    0.0063\t    0.0061\t      1.16\n",
      "  2\t    0.2631\t    0.0029\t    0.0093\t    0.0087\t      2.29\n",
      "  3\t    0.2518\t    0.0028\t    0.0122\t    0.0112\t      3.77\n",
      "  4\t    0.2436\t    0.0027\t    0.0150\t    0.0137\t      5.58\n",
      "  5\t    0.2369\t    0.0027\t    0.0176\t    0.0160\t      7.71\n",
      "  6\t    0.2312\t    0.0027\t    0.0201\t    0.0183\t     10.13\n",
      "  7\t    0.2262\t    0.0027\t    0.0225\t    0.0206\t     12.85\n",
      "  8\t    0.2219\t    0.0028\t    0.0248\t    0.0228\t     15.83\n",
      "  9\t    0.2180\t    0.0029\t    0.0269\t    0.0250\t     19.07\n",
      " 10\t    0.2144\t    0.0031\t    0.0289\t    0.0271\t     22.55\n",
      " 11\t    0.2111\t    0.0033\t    0.0308\t    0.0293\t     26.25\n",
      " 12\t    0.2081\t    0.0035\t    0.0326\t    0.0313\t     30.17\n",
      " 13\t    0.2052\t    0.0037\t    0.0342\t    0.0334\t     34.28\n",
      " 14\t    0.2023\t    0.0040\t    0.0357\t    0.0354\t     38.56\n",
      " 15\t    0.1999\t    0.0043\t    0.0371\t    0.0374\t     43.02\n",
      " 16\t    0.1976\t    0.0046\t    0.0383\t    0.0394\t     47.62\n",
      " 17\t    0.1954\t    0.0050\t    0.0395\t    0.0413\t     52.37\n",
      " 18\t    0.1933\t    0.0054\t    0.0405\t    0.0433\t     57.23\n",
      " 19\t    0.1913\t    0.0057\t    0.0414\t    0.0452\t     62.20\n",
      " 20\t    0.1894\t    0.0061\t    0.0421\t    0.0471\t     67.27\n",
      " 21\t    0.1875\t    0.0065\t    0.0428\t    0.0489\t     72.41\n",
      " 22\t    0.1858\t    0.0069\t    0.0434\t    0.0508\t     77.62\n",
      " 23\t    0.1841\t    0.0074\t    0.0438\t    0.0526\t     82.89\n",
      " 24\t    0.1825\t    0.0078\t    0.0442\t    0.0544\t     88.20\n",
      " 25\t    0.1809\t    0.0082\t    0.0445\t    0.0562\t     93.55\n",
      " 26\t    0.1794\t    0.0086\t    0.0447\t    0.0580\t     98.93\n",
      " 27\t    0.1780\t    0.0091\t    0.0448\t    0.0598\t    104.31\n",
      " 28\t    0.1766\t    0.0095\t    0.0449\t    0.0616\t    109.71\n",
      " 29\t    0.1753\t    0.0100\t    0.0449\t    0.0633\t    115.10\n",
      " 30\t    0.1740\t    0.0104\t    0.0448\t    0.0651\t    120.48\n",
      " 31\t    0.1727\t    0.0108\t    0.0447\t    0.0668\t    125.85\n",
      " 32\t    0.1715\t    0.0113\t    0.0445\t    0.0685\t    131.20\n",
      " 33\t    0.1703\t    0.0117\t    0.0443\t    0.0702\t    136.52\n",
      " 34\t    0.1692\t    0.0121\t    0.0440\t    0.0719\t    141.80\n",
      " 35\t    0.1681\t    0.0126\t    0.0437\t    0.0735\t    147.05\n",
      " 36\t    0.1671\t    0.0130\t    0.0433\t    0.0752\t    152.25\n",
      " 37\t    0.1660\t    0.0134\t    0.0429\t    0.0769\t    157.41\n",
      " 38\t    0.1650\t    0.0138\t    0.0425\t    0.0785\t    162.52\n",
      " 39\t    0.1641\t    0.0143\t    0.0421\t    0.0801\t    167.58\n",
      " 40\t    0.1631\t    0.0147\t    0.0417\t    0.0818\t    172.59\n",
      " 41\t    0.1622\t    0.0151\t    0.0412\t    0.0834\t    177.54\n",
      " 42\t    0.1613\t    0.0155\t    0.0407\t    0.0850\t    182.42\n",
      " 43\t    0.1605\t    0.0159\t    0.0402\t    0.0866\t    187.25\n",
      " 44\t    0.1596\t    0.0163\t    0.0397\t    0.0882\t    192.02\n",
      " 45\t    0.1588\t    0.0167\t    0.0392\t    0.0897\t    196.73\n",
      " 46\t    0.1580\t    0.0170\t    0.0387\t    0.0913\t    201.37\n",
      " 47\t    0.1571\t    0.0174\t    0.0380\t    0.0929\t    205.95\n",
      " 48\t    0.1563\t    0.0178\t    0.0375\t    0.0944\t    210.46\n",
      " 49\t    0.1556\t    0.0182\t    0.0370\t    0.0960\t    214.91\n",
      " 50\t    0.1549\t    0.0185\t    0.0365\t    0.0975\t    219.30\n",
      " 51\t    0.1542\t    0.0189\t    0.0360\t    0.0991\t    223.62\n",
      " 52\t    0.1535\t    0.0192\t    0.0355\t    0.1006\t    227.89\n",
      " 53\t    0.1529\t    0.0196\t    0.0350\t    0.1021\t    232.10\n",
      " 54\t    0.1523\t    0.0199\t    0.0345\t    0.1036\t    236.24\n",
      " 55\t    0.1516\t    0.0203\t    0.0340\t    0.1051\t    240.33\n",
      " 56\t    0.1510\t    0.0206\t    0.0335\t    0.1066\t    244.35\n",
      " 57\t    0.1504\t    0.0209\t    0.0330\t    0.1081\t    248.32\n",
      " 58\t    0.1498\t    0.0213\t    0.0325\t    0.1096\t    252.23\n",
      " 59\t    0.1492\t    0.0216\t    0.0321\t    0.1111\t    256.08\n",
      " 60\t    0.1487\t    0.0219\t    0.0316\t    0.1126\t    259.87\n",
      " 61\t    0.1481\t    0.0222\t    0.0311\t    0.1141\t    263.61\n",
      " 62\t    0.1476\t    0.0225\t    0.0307\t    0.1155\t    267.30\n",
      " 63\t    0.1471\t    0.0228\t    0.0302\t    0.1170\t    270.93\n",
      " 64\t    0.1465\t    0.0231\t    0.0298\t    0.1185\t    274.51\n",
      " 65\t    0.1460\t    0.0234\t    0.0294\t    0.1199\t    278.04\n",
      " 66\t    0.1455\t    0.0237\t    0.0289\t    0.1214\t    281.52\n",
      " 67\t    0.1450\t    0.0240\t    0.0285\t    0.1228\t    284.95\n",
      " 68\t    0.1446\t    0.0243\t    0.0281\t    0.1242\t    288.33\n",
      " 69\t    0.1441\t    0.0245\t    0.0277\t    0.1257\t    291.66\n",
      " 70\t    0.1436\t    0.0248\t    0.0274\t    0.1271\t    294.95\n",
      " 71\t    0.1432\t    0.0251\t    0.0270\t    0.1285\t    298.19\n",
      " 72\t    0.1427\t    0.0253\t    0.0266\t    0.1300\t    301.39\n",
      " 73\t    0.1423\t    0.0256\t    0.0262\t    0.1314\t    304.54\n",
      " 74\t    0.1418\t    0.0259\t    0.0259\t    0.1328\t    307.65\n",
      " 75\t    0.1414\t    0.0261\t    0.0255\t    0.1342\t    310.72\n",
      " 76\t    0.1410\t    0.0264\t    0.0252\t    0.1356\t    313.76\n",
      " 77\t    0.1406\t    0.0266\t    0.0249\t    0.1370\t    316.75\n",
      " 78\t    0.1402\t    0.0269\t    0.0246\t    0.1384\t    319.70\n",
      " 79\t    0.1398\t    0.0271\t    0.0242\t    0.1398\t    322.61\n",
      " 80\t    0.1394\t    0.0273\t    0.0239\t    0.1412\t    325.49\n",
      " 81\t    0.1390\t    0.0276\t    0.0236\t    0.1426\t    328.33\n",
      " 82\t    0.1386\t    0.0278\t    0.0233\t    0.1439\t    331.14\n",
      " 83\t    0.1382\t    0.0280\t    0.0231\t    0.1453\t    333.91\n",
      " 84\t    0.1379\t    0.0283\t    0.0228\t    0.1467\t    336.65\n",
      " 85\t    0.1375\t    0.0285\t    0.0225\t    0.1481\t    339.36\n",
      " 86\t    0.1371\t    0.0287\t    0.0222\t    0.1494\t    342.03\n",
      " 87\t    0.1368\t    0.0289\t    0.0220\t    0.1508\t    344.67\n",
      " 88\t    0.1364\t    0.0291\t    0.0217\t    0.1522\t    347.28\n",
      " 89\t    0.1361\t    0.0294\t    0.0215\t    0.1535\t    349.87\n",
      " 90\t    0.1358\t    0.0296\t    0.0212\t    0.1549\t    352.42\n",
      " 91\t    0.1354\t    0.0298\t    0.0210\t    0.1562\t    354.94\n",
      " 92\t    0.1351\t    0.0300\t    0.0208\t    0.1576\t    357.44\n",
      " 93\t    0.1348\t    0.0302\t    0.0205\t    0.1589\t    359.90\n",
      " 94\t    0.1345\t    0.0304\t    0.0203\t    0.1603\t    362.34\n",
      " 95\t    0.1341\t    0.0306\t    0.0201\t    0.1616\t    364.76\n",
      " 96\t    0.1338\t    0.0308\t    0.0199\t    0.1629\t    367.14\n",
      " 97\t    0.1335\t    0.0310\t    0.0196\t    0.1643\t    369.51\n",
      " 98\t    0.1332\t    0.0312\t    0.0194\t    0.1656\t    371.84\n",
      " 99\t    0.1329\t    0.0314\t    0.0192\t    0.1669\t    374.16\n",
      "100\t    0.1326\t    0.0316\t    0.0190\t    0.1682\t    376.45\n",
      "101\t    0.1323\t    0.0318\t    0.0188\t    0.1696\t    378.71\n",
      "102\t    0.1320\t    0.0319\t    0.0187\t    0.1709\t    380.95\n",
      "103\t    0.1317\t    0.0321\t    0.0185\t    0.1722\t    383.17\n",
      "104\t    0.1315\t    0.0323\t    0.0183\t    0.1735\t    385.37\n",
      "105\t    0.1312\t    0.0325\t    0.0181\t    0.1748\t    387.55\n",
      "106\t    0.1309\t    0.0327\t    0.0179\t    0.1761\t    389.70\n",
      "107\t    0.1306\t    0.0328\t    0.0178\t    0.1774\t    391.84\n",
      "108\t    0.1304\t    0.0330\t    0.0176\t    0.1787\t    393.95\n",
      "109\t    0.1301\t    0.0332\t    0.0174\t    0.1800\t    396.05\n",
      "110\t    0.1298\t    0.0334\t    0.0172\t    0.1813\t    398.12\n",
      "111\t    0.1296\t    0.0335\t    0.0171\t    0.1826\t    400.18\n",
      "112\t    0.1293\t    0.0337\t    0.0169\t    0.1839\t    402.21\n",
      "113\t    0.1291\t    0.0339\t    0.0168\t    0.1852\t    404.23\n",
      "114\t    0.1288\t    0.0340\t    0.0166\t    0.1865\t    406.23\n",
      "115\t    0.1286\t    0.0342\t    0.0165\t    0.1878\t    408.21\n",
      "116\t    0.1283\t    0.0344\t    0.0163\t    0.1891\t    410.17\n",
      "117\t    0.1281\t    0.0345\t    0.0162\t    0.1903\t    412.12\n",
      "118\t    0.1278\t    0.0347\t    0.0160\t    0.1916\t    414.05\n",
      "119\t    0.1276\t    0.0349\t    0.0159\t    0.1929\t    415.96\n",
      "120\t    0.1273\t    0.0350\t    0.0158\t    0.1942\t    417.86\n",
      "121\t    0.1271\t    0.0352\t    0.0156\t    0.1954\t    419.74\n",
      "122\t    0.1269\t    0.0353\t    0.0155\t    0.1967\t    421.60\n",
      "123\t    0.1266\t    0.0355\t    0.0154\t    0.1980\t    423.45\n",
      "124\t    0.1264\t    0.0356\t    0.0152\t    0.1992\t    425.28\n",
      "125\t    0.1262\t    0.0358\t    0.0151\t    0.2005\t    427.10\n",
      "126\t    0.1260\t    0.0359\t    0.0150\t    0.2017\t    428.90\n",
      "127\t    0.1257\t    0.0361\t    0.0149\t    0.2030\t    430.69\n",
      "128\t    0.1255\t    0.0362\t    0.0147\t    0.2042\t    432.46\n",
      "129\t    0.1253\t    0.0364\t    0.0146\t    0.2055\t    434.22\n",
      "130\t    0.1251\t    0.0365\t    0.0145\t    0.2067\t    435.97\n",
      "131\t    0.1249\t    0.0367\t    0.0144\t    0.2080\t    437.70\n",
      "132\t    0.1246\t    0.0368\t    0.0143\t    0.2092\t    439.42\n",
      "133\t    0.1244\t    0.0369\t    0.0142\t    0.2105\t    441.12\n",
      "134\t    0.1242\t    0.0371\t    0.0141\t    0.2117\t    442.81\n",
      "135\t    0.1240\t    0.0372\t    0.0140\t    0.2130\t    444.49\n",
      "136\t    0.1238\t    0.0374\t    0.0138\t    0.2142\t    446.16\n",
      "137\t    0.1236\t    0.0375\t    0.0137\t    0.2154\t    447.81\n",
      "138\t    0.1234\t    0.0376\t    0.0136\t    0.2167\t    449.45\n",
      "139\t    0.1232\t    0.0378\t    0.0135\t    0.2179\t    451.08\n",
      "140\t    0.1230\t    0.0379\t    0.0134\t    0.2191\t    452.70\n",
      "141\t    0.1228\t    0.0380\t    0.0133\t    0.2203\t    454.30\n",
      "142\t    0.1226\t    0.0382\t    0.0132\t    0.2216\t    455.90\n",
      "143\t    0.1224\t    0.0383\t    0.0131\t    0.2228\t    457.48\n",
      "144\t    0.1222\t    0.0384\t    0.0131\t    0.2240\t    459.05\n",
      "145\t    0.1220\t    0.0386\t    0.0130\t    0.2252\t    460.61\n",
      "146\t    0.1219\t    0.0387\t    0.0129\t    0.2264\t    462.16\n",
      "147\t    0.1216\t    0.0388\t    0.0127\t    0.2277\t    463.69\n",
      "148\t    0.1214\t    0.0389\t    0.0127\t    0.2289\t    465.22\n",
      "149\t    0.1212\t    0.0391\t    0.0126\t    0.2301\t    466.73\n",
      "150\t    0.1210\t    0.0392\t    0.0125\t    0.2313\t    468.24\n",
      "151\t    0.1208\t    0.0393\t    0.0124\t    0.2325\t    469.73\n",
      "152\t    0.1207\t    0.0394\t    0.0123\t    0.2337\t    471.21\n",
      "153\t    0.1205\t    0.0396\t    0.0123\t    0.2349\t    472.69\n",
      "154\t    0.1203\t    0.0397\t    0.0122\t    0.2361\t    474.15\n",
      "155\t    0.1201\t    0.0398\t    0.0121\t    0.2373\t    475.61\n",
      "156\t    0.1200\t    0.0399\t    0.0120\t    0.2385\t    477.06\n",
      "157\t    0.1198\t    0.0400\t    0.0119\t    0.2397\t    478.49\n",
      "158\t    0.1196\t    0.0402\t    0.0119\t    0.2409\t    479.92\n",
      "159\t    0.1195\t    0.0403\t    0.0118\t    0.2421\t    481.34\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "160\t    0.1193\t    0.0404\t    0.0117\t    0.2433\t    482.75\n",
      "161\t    0.1191\t    0.0405\t    0.0116\t    0.2445\t    484.15\n",
      "162\t    0.1190\t    0.0406\t    0.0116\t    0.2457\t    485.54\n",
      "163\t    0.1188\t    0.0407\t    0.0115\t    0.2468\t    486.93\n",
      "164\t    0.1186\t    0.0409\t    0.0114\t    0.2480\t    488.30\n",
      "165\t    0.1185\t    0.0410\t    0.0114\t    0.2492\t    489.67\n",
      "166\t    0.1183\t    0.0411\t    0.0113\t    0.2504\t    491.02\n",
      "167\t    0.1181\t    0.0412\t    0.0112\t    0.2516\t    492.37\n",
      "168\t    0.1180\t    0.0413\t    0.0111\t    0.2528\t    493.72\n",
      "169\t    0.1178\t    0.0414\t    0.0111\t    0.2539\t    495.05\n",
      "170\t    0.1177\t    0.0415\t    0.0110\t    0.2551\t    496.37\n",
      "171\t    0.1175\t    0.0416\t    0.0109\t    0.2563\t    497.69\n",
      "172\t    0.1174\t    0.0417\t    0.0109\t    0.2575\t    499.00\n",
      "173\t    0.1172\t    0.0419\t    0.0108\t    0.2586\t    500.30\n",
      "174\t    0.1170\t    0.0420\t    0.0107\t    0.2598\t    501.59\n",
      "175\t    0.1169\t    0.0421\t    0.0107\t    0.2610\t    502.88\n",
      "176\t    0.1167\t    0.0422\t    0.0106\t    0.2621\t    504.16\n",
      "177\t    0.1166\t    0.0423\t    0.0106\t    0.2633\t    505.43\n",
      "178\t    0.1164\t    0.0424\t    0.0105\t    0.2645\t    506.69\n",
      "179\t    0.1163\t    0.0425\t    0.0104\t    0.2656\t    507.95\n",
      "180\t    0.1162\t    0.0426\t    0.0104\t    0.2668\t    509.20\n",
      "181\t    0.1160\t    0.0427\t    0.0103\t    0.2679\t    510.44\n",
      "182\t    0.1159\t    0.0428\t    0.0103\t    0.2691\t    511.68\n",
      "183\t    0.1157\t    0.0429\t    0.0102\t    0.2702\t    512.90\n",
      "184\t    0.1156\t    0.0430\t    0.0101\t    0.2714\t    514.13\n",
      "185\t    0.1154\t    0.0431\t    0.0101\t    0.2726\t    515.34\n",
      "186\t    0.1153\t    0.0432\t    0.0100\t    0.2737\t    516.55\n",
      "187\t    0.1151\t    0.0433\t    0.0100\t    0.2749\t    517.75\n",
      "188\t    0.1150\t    0.0434\t    0.0099\t    0.2760\t    518.94\n",
      "189\t    0.1149\t    0.0435\t    0.0099\t    0.2772\t    520.13\n",
      "190\t    0.1147\t    0.0436\t    0.0098\t    0.2783\t    521.31\n",
      "191\t    0.1146\t    0.0437\t    0.0098\t    0.2794\t    522.49\n",
      "192\t    0.1145\t    0.0438\t    0.0097\t    0.2806\t    523.65\n",
      "193\t    0.1143\t    0.0439\t    0.0097\t    0.2817\t    524.82\n",
      "194\t    0.1142\t    0.0440\t    0.0096\t    0.2829\t    525.97\n",
      "195\t    0.1140\t    0.0441\t    0.0096\t    0.2840\t    527.12\n",
      "196\t    0.1139\t    0.0442\t    0.0095\t    0.2851\t    528.27\n",
      "197\t    0.1138\t    0.0443\t    0.0095\t    0.2863\t    529.40\n",
      "198\t    0.1136\t    0.0444\t    0.0094\t    0.2874\t    530.54\n",
      "199\t    0.1135\t    0.0445\t    0.0094\t    0.2886\t    531.66\n",
      "200\t    0.1134\t    0.0445\t    0.0093\t    0.2897\t    532.78\n",
      "201\t    0.1133\t    0.0446\t    0.0093\t    0.2908\t    533.90\n",
      "202\t    0.1131\t    0.0447\t    0.0092\t    0.2919\t    535.01\n",
      "203\t    0.1130\t    0.0448\t    0.0092\t    0.2931\t    536.11\n",
      "204\t    0.1129\t    0.0449\t    0.0091\t    0.2942\t    537.21\n",
      "205\t    0.1127\t    0.0450\t    0.0091\t    0.2953\t    538.30\n",
      "206\t    0.1126\t    0.0451\t    0.0090\t    0.2965\t    539.38\n",
      "207\t    0.1125\t    0.0452\t    0.0090\t    0.2976\t    540.47\n",
      "208\t    0.1124\t    0.0453\t    0.0089\t    0.2987\t    541.54\n",
      "209\t    0.1122\t    0.0454\t    0.0089\t    0.2998\t    542.61\n",
      "210\t    0.1121\t    0.0455\t    0.0088\t    0.3009\t    543.68\n",
      "211\t    0.1120\t    0.0455\t    0.0088\t    0.3021\t    544.74\n",
      "212\t    0.1119\t    0.0456\t    0.0088\t    0.3032\t    545.79\n",
      "213\t    0.1117\t    0.0457\t    0.0087\t    0.3043\t    546.84\n",
      "214\t    0.1116\t    0.0458\t    0.0087\t    0.3054\t    547.89\n",
      "215\t    0.1115\t    0.0459\t    0.0086\t    0.3065\t    548.93\n",
      "216\t    0.1114\t    0.0460\t    0.0086\t    0.3076\t    549.96\n",
      "217\t    0.1113\t    0.0461\t    0.0086\t    0.3087\t    550.99\n",
      "218\t    0.1111\t    0.0461\t    0.0085\t    0.3099\t    552.01\n",
      "219\t    0.1110\t    0.0462\t    0.0085\t    0.3110\t    553.03\n",
      "220\t    0.1109\t    0.0463\t    0.0084\t    0.3121\t    554.05\n",
      "221\t    0.1108\t    0.0464\t    0.0084\t    0.3132\t    555.06\n",
      "222\t    0.1107\t    0.0465\t    0.0084\t    0.3143\t    556.07\n",
      "223\t    0.1106\t    0.0466\t    0.0083\t    0.3154\t    557.07\n",
      "224\t    0.1104\t    0.0466\t    0.0083\t    0.3165\t    558.06\n",
      "225\t    0.1103\t    0.0467\t    0.0082\t    0.3176\t    559.06\n",
      "226\t    0.1102\t    0.0468\t    0.0082\t    0.3187\t    560.04\n",
      "227\t    0.1101\t    0.0469\t    0.0082\t    0.3198\t    561.03\n",
      "228\t    0.1100\t    0.0470\t    0.0081\t    0.3209\t    562.00\n",
      "229\t    0.1099\t    0.0471\t    0.0081\t    0.3220\t    562.98\n",
      "230\t    0.1098\t    0.0471\t    0.0081\t    0.3231\t    563.95\n",
      "231\t    0.1096\t    0.0472\t    0.0080\t    0.3242\t    564.91\n",
      "232\t    0.1095\t    0.0473\t    0.0080\t    0.3253\t    565.87\n",
      "233\t    0.1094\t    0.0474\t    0.0079\t    0.3264\t    566.83\n",
      "234\t    0.1093\t    0.0475\t    0.0079\t    0.3275\t    567.78\n",
      "235\t    0.1092\t    0.0475\t    0.0079\t    0.3286\t    568.73\n",
      "236\t    0.1091\t    0.0476\t    0.0078\t    0.3296\t    569.68\n",
      "237\t    0.1090\t    0.0477\t    0.0078\t    0.3307\t    570.62\n",
      "238\t    0.1089\t    0.0478\t    0.0078\t    0.3318\t    571.55\n",
      "239\t    0.1088\t    0.0478\t    0.0077\t    0.3329\t    572.49\n",
      "240\t    0.1087\t    0.0479\t    0.0077\t    0.3340\t    573.41\n",
      "241\t    0.1086\t    0.0480\t    0.0077\t    0.3351\t    574.34\n",
      "242\t    0.1085\t    0.0481\t    0.0076\t    0.3362\t    575.26\n",
      "243\t    0.1084\t    0.0482\t    0.0076\t    0.3372\t    576.17\n",
      "244\t    0.1082\t    0.0482\t    0.0076\t    0.3383\t    577.09\n",
      "245\t    0.1081\t    0.0483\t    0.0075\t    0.3394\t    578.00\n",
      "246\t    0.1080\t    0.0484\t    0.0075\t    0.3405\t    578.90\n",
      "247\t    0.1079\t    0.0485\t    0.0075\t    0.3416\t    579.80\n",
      "248\t    0.1078\t    0.0485\t    0.0074\t    0.3426\t    580.70\n",
      "249\t    0.1077\t    0.0486\t    0.0074\t    0.3437\t    581.59\n",
      "250\t    0.1076\t    0.0487\t    0.0074\t    0.3448\t    582.48\n",
      "251\t    0.1075\t    0.0487\t    0.0074\t    0.3459\t    583.37\n",
      "252\t    0.1074\t    0.0488\t    0.0073\t    0.3469\t    584.25\n",
      "253\t    0.1073\t    0.0489\t    0.0073\t    0.3480\t    585.13\n",
      "254\t    0.1072\t    0.0490\t    0.0073\t    0.3491\t    586.01\n",
      "255\t    0.1071\t    0.0490\t    0.0072\t    0.3502\t    586.88\n",
      "256\t    0.1070\t    0.0491\t    0.0072\t    0.3512\t    587.75\n",
      "257\t    0.1069\t    0.0492\t    0.0072\t    0.3523\t    588.61\n",
      "258\t    0.1068\t    0.0493\t    0.0072\t    0.3534\t    589.47\n",
      "259\t    0.1067\t    0.0493\t    0.0071\t    0.3544\t    590.33\n",
      "260\t    0.1066\t    0.0494\t    0.0071\t    0.3555\t    591.19\n",
      "261\t    0.1065\t    0.0495\t    0.0071\t    0.3566\t    592.04\n",
      "262\t    0.1064\t    0.0495\t    0.0070\t    0.3576\t    592.89\n",
      "263\t    0.1063\t    0.0496\t    0.0070\t    0.3587\t    593.73\n",
      "264\t    0.1062\t    0.0497\t    0.0070\t    0.3597\t    594.57\n",
      "265\t    0.1062\t    0.0497\t    0.0070\t    0.3608\t    595.41\n",
      "266\t    0.1061\t    0.0498\t    0.0069\t    0.3619\t    596.25\n",
      "267\t    0.1060\t    0.0499\t    0.0069\t    0.3629\t    597.08\n",
      "268\t    0.1059\t    0.0500\t    0.0069\t    0.3640\t    597.91\n",
      "269\t    0.1058\t    0.0500\t    0.0069\t    0.3650\t    598.73\n",
      "270\t    0.1057\t    0.0501\t    0.0068\t    0.3661\t    599.56\n",
      "271\t    0.1056\t    0.0502\t    0.0068\t    0.3671\t    600.38\n",
      "272\t    0.1055\t    0.0502\t    0.0068\t    0.3682\t    601.19\n",
      "273\t    0.1054\t    0.0503\t    0.0067\t    0.3693\t    602.00\n",
      "274\t    0.1053\t    0.0504\t    0.0067\t    0.3703\t    602.81\n",
      "275\t    0.1052\t    0.0504\t    0.0067\t    0.3714\t    603.62\n",
      "276\t    0.1051\t    0.0505\t    0.0067\t    0.3724\t    604.43\n",
      "277\t    0.1050\t    0.0506\t    0.0066\t    0.3735\t    605.23\n",
      "278\t    0.1049\t    0.0506\t    0.0066\t    0.3745\t    606.03\n",
      "279\t    0.1049\t    0.0507\t    0.0066\t    0.3756\t    606.82\n",
      "280\t    0.1048\t    0.0508\t    0.0066\t    0.3766\t    607.61\n",
      "281\t    0.1047\t    0.0508\t    0.0066\t    0.3776\t    608.40\n",
      "282\t    0.1046\t    0.0509\t    0.0065\t    0.3787\t    609.19\n",
      "283\t    0.1045\t    0.0510\t    0.0065\t    0.3797\t    609.97\n",
      "284\t    0.1044\t    0.0510\t    0.0065\t    0.3808\t    610.75\n",
      "285\t    0.1043\t    0.0511\t    0.0065\t    0.3818\t    611.53\n",
      "286\t    0.1042\t    0.0511\t    0.0064\t    0.3829\t    612.31\n",
      "287\t    0.1041\t    0.0512\t    0.0064\t    0.3839\t    613.08\n",
      "288\t    0.1041\t    0.0513\t    0.0064\t    0.3849\t    613.85\n",
      "289\t    0.1040\t    0.0513\t    0.0064\t    0.3860\t    614.62\n",
      "290\t    0.1039\t    0.0514\t    0.0063\t    0.3870\t    615.38\n",
      "291\t    0.1038\t    0.0515\t    0.0063\t    0.3881\t    616.14\n",
      "292\t    0.1037\t    0.0515\t    0.0063\t    0.3891\t    616.90\n",
      "293\t    0.1036\t    0.0516\t    0.0063\t    0.3901\t    617.66\n",
      "294\t    0.1035\t    0.0517\t    0.0063\t    0.3912\t    618.41\n",
      "295\t    0.1035\t    0.0517\t    0.0062\t    0.3922\t    619.16\n",
      "296\t    0.1034\t    0.0518\t    0.0062\t    0.3932\t    619.91\n",
      "297\t    0.1033\t    0.0518\t    0.0062\t    0.3943\t    620.66\n",
      "298\t    0.1032\t    0.0519\t    0.0062\t    0.3953\t    621.40\n",
      "299\t    0.1031\t    0.0520\t    0.0061\t    0.3963\t    622.14\n",
      "300\t    0.1030\t    0.0520\t    0.0061\t    0.3974\t    622.88\n",
      "301\t    0.1030\t    0.0521\t    0.0061\t    0.3984\t    623.61\n",
      "302\t    0.1029\t    0.0521\t    0.0061\t    0.3994\t    624.35\n",
      "303\t    0.1028\t    0.0522\t    0.0061\t    0.4004\t    625.08\n",
      "304\t    0.1027\t    0.0523\t    0.0060\t    0.4015\t    625.81\n",
      "305\t    0.1026\t    0.0523\t    0.0060\t    0.4025\t    626.53\n",
      "306\t    0.1025\t    0.0524\t    0.0060\t    0.4035\t    627.26\n",
      "307\t    0.1025\t    0.0524\t    0.0060\t    0.4045\t    627.98\n",
      "308\t    0.1024\t    0.0525\t    0.0060\t    0.4056\t    628.70\n",
      "309\t    0.1023\t    0.0526\t    0.0059\t    0.4066\t    629.41\n",
      "310\t    0.1022\t    0.0526\t    0.0059\t    0.4076\t    630.13\n",
      "311\t    0.1021\t    0.0527\t    0.0059\t    0.4086\t    630.84\n",
      "312\t    0.1021\t    0.0527\t    0.0059\t    0.4096\t    631.55\n",
      "313\t    0.1020\t    0.0528\t    0.0059\t    0.4107\t    632.25\n",
      "314\t    0.1019\t    0.0529\t    0.0058\t    0.4117\t    632.96\n",
      "315\t    0.1018\t    0.0529\t    0.0058\t    0.4127\t    633.66\n",
      "316\t    0.1017\t    0.0530\t    0.0058\t    0.4137\t    634.36\n",
      "317\t    0.1017\t    0.0530\t    0.0058\t    0.4147\t    635.06\n",
      "318\t    0.1016\t    0.0531\t    0.0058\t    0.4157\t    635.75\n",
      "319\t    0.1015\t    0.0531\t    0.0058\t    0.4168\t    636.45\n",
      "320\t    0.1014\t    0.0532\t    0.0057\t    0.4178\t    637.14\n",
      "321\t    0.1014\t    0.0533\t    0.0057\t    0.4188\t    637.83\n",
      "322\t    0.1013\t    0.0533\t    0.0057\t    0.4198\t    638.51\n",
      "323\t    0.1012\t    0.0534\t    0.0057\t    0.4208\t    639.20\n",
      "324\t    0.1011\t    0.0534\t    0.0057\t    0.4218\t    639.88\n",
      "325\t    0.1011\t    0.0535\t    0.0056\t    0.4228\t    640.56\n",
      "326\t    0.1010\t    0.0535\t    0.0056\t    0.4238\t    641.24\n",
      "327\t    0.1009\t    0.0536\t    0.0056\t    0.4248\t    641.91\n",
      "328\t    0.1008\t    0.0537\t    0.0056\t    0.4259\t    642.59\n",
      "329\t    0.1008\t    0.0537\t    0.0056\t    0.4269\t    643.26\n",
      "330\t    0.1007\t    0.0538\t    0.0056\t    0.4279\t    643.93\n",
      "331\t    0.1006\t    0.0538\t    0.0055\t    0.4289\t    644.60\n",
      "332\t    0.1005\t    0.0539\t    0.0055\t    0.4299\t    645.26\n",
      "333\t    0.1005\t    0.0539\t    0.0055\t    0.4309\t    645.93\n",
      "334\t    0.1004\t    0.0540\t    0.0055\t    0.4319\t    646.59\n",
      "335\t    0.1003\t    0.0540\t    0.0055\t    0.4329\t    647.25\n",
      "336\t    0.1002\t    0.0541\t    0.0055\t    0.4339\t    647.90\n",
      "337\t    0.1002\t    0.0542\t    0.0054\t    0.4349\t    648.56\n",
      "338\t    0.1001\t    0.0542\t    0.0054\t    0.4359\t    649.21\n",
      "339\t    0.1000\t    0.0543\t    0.0054\t    0.4369\t    649.86\n",
      "340\t    0.0999\t    0.0543\t    0.0054\t    0.4379\t    650.51\n",
      "341\t    0.0999\t    0.0544\t    0.0054\t    0.4389\t    651.16\n",
      "342\t    0.0998\t    0.0544\t    0.0054\t    0.4399\t    651.81\n",
      "343\t    0.0997\t    0.0545\t    0.0053\t    0.4409\t    652.45\n",
      "344\t    0.0997\t    0.0545\t    0.0053\t    0.4419\t    653.09\n",
      "345\t    0.0996\t    0.0546\t    0.0053\t    0.4429\t    653.73\n",
      "346\t    0.0995\t    0.0546\t    0.0053\t    0.4439\t    654.37\n",
      "347\t    0.0994\t    0.0547\t    0.0053\t    0.4449\t    655.01\n",
      "348\t    0.0994\t    0.0547\t    0.0053\t    0.4458\t    655.64\n",
      "349\t    0.0993\t    0.0548\t    0.0052\t    0.4468\t    656.27\n",
      "350\t    0.0992\t    0.0548\t    0.0052\t    0.4478\t    656.90\n",
      "351\t    0.0992\t    0.0549\t    0.0052\t    0.4488\t    657.53\n",
      "352\t    0.0991\t    0.0549\t    0.0052\t    0.4498\t    658.16\n",
      "353\t    0.0990\t    0.0550\t    0.0052\t    0.4508\t    658.78\n",
      "354\t    0.0990\t    0.0551\t    0.0052\t    0.4518\t    659.41\n",
      "355\t    0.0989\t    0.0551\t    0.0052\t    0.4528\t    660.03\n",
      "356\t    0.0988\t    0.0552\t    0.0051\t    0.4538\t    660.65\n",
      "357\t    0.0988\t    0.0552\t    0.0051\t    0.4547\t    661.26\n",
      "358\t    0.0987\t    0.0553\t    0.0051\t    0.4557\t    661.88\n",
      "359\t    0.0986\t    0.0553\t    0.0051\t    0.4567\t    662.50\n",
      "360\t    0.0985\t    0.0554\t    0.0051\t    0.4577\t    663.11\n",
      "361\t    0.0985\t    0.0554\t    0.0051\t    0.4587\t    663.72\n",
      "362\t    0.0984\t    0.0555\t    0.0051\t    0.4597\t    664.33\n",
      "363\t    0.0983\t    0.0555\t    0.0050\t    0.4607\t    664.94\n",
      "364\t    0.0983\t    0.0556\t    0.0050\t    0.4616\t    665.54\n",
      "365\t    0.0982\t    0.0556\t    0.0050\t    0.4626\t    666.15\n",
      "366\t    0.0981\t    0.0557\t    0.0050\t    0.4636\t    666.75\n",
      "367\t    0.0981\t    0.0557\t    0.0050\t    0.4646\t    667.35\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "368\t    0.0980\t    0.0558\t    0.0050\t    0.4656\t    667.95\n",
      "369\t    0.0979\t    0.0558\t    0.0050\t    0.4665\t    668.54\n",
      "370\t    0.0979\t    0.0559\t    0.0049\t    0.4675\t    669.14\n",
      "371\t    0.0978\t    0.0559\t    0.0049\t    0.4685\t    669.73\n",
      "372\t    0.0978\t    0.0560\t    0.0049\t    0.4695\t    670.33\n",
      "373\t    0.0977\t    0.0560\t    0.0049\t    0.4704\t    670.92\n",
      "374\t    0.0976\t    0.0561\t    0.0049\t    0.4714\t    671.51\n",
      "375\t    0.0976\t    0.0561\t    0.0049\t    0.4724\t    672.09\n",
      "376\t    0.0975\t    0.0562\t    0.0049\t    0.4734\t    672.68\n",
      "377\t    0.0974\t    0.0562\t    0.0048\t    0.4743\t    673.26\n",
      "378\t    0.0974\t    0.0562\t    0.0048\t    0.4753\t    673.85\n",
      "379\t    0.0973\t    0.0563\t    0.0048\t    0.4763\t    674.43\n",
      "380\t    0.0972\t    0.0563\t    0.0048\t    0.4773\t    675.01\n",
      "381\t    0.0972\t    0.0564\t    0.0048\t    0.4782\t    675.59\n",
      "382\t    0.0971\t    0.0564\t    0.0048\t    0.4792\t    676.16\n",
      "383\t    0.0970\t    0.0565\t    0.0048\t    0.4802\t    676.74\n",
      "384\t    0.0970\t    0.0565\t    0.0048\t    0.4811\t    677.31\n",
      "385\t    0.0969\t    0.0566\t    0.0047\t    0.4821\t    677.88\n",
      "386\t    0.0969\t    0.0566\t    0.0047\t    0.4831\t    678.45\n",
      "387\t    0.0968\t    0.0567\t    0.0047\t    0.4840\t    679.02\n",
      "388\t    0.0967\t    0.0567\t    0.0047\t    0.4850\t    679.59\n",
      "389\t    0.0967\t    0.0568\t    0.0047\t    0.4860\t    680.16\n",
      "390\t    0.0966\t    0.0568\t    0.0047\t    0.4869\t    680.72\n",
      "391\t    0.0965\t    0.0569\t    0.0047\t    0.4879\t    681.28\n",
      "392\t    0.0965\t    0.0569\t    0.0047\t    0.4889\t    681.84\n",
      "393\t    0.0964\t    0.0570\t    0.0046\t    0.4898\t    682.40\n",
      "394\t    0.0964\t    0.0570\t    0.0046\t    0.4908\t    682.96\n",
      "395\t    0.0963\t    0.0571\t    0.0046\t    0.4918\t    683.52\n",
      "396\t    0.0962\t    0.0571\t    0.0046\t    0.4927\t    684.08\n",
      "397\t    0.0962\t    0.0571\t    0.0046\t    0.4937\t    684.63\n",
      "398\t    0.0961\t    0.0572\t    0.0046\t    0.4946\t    685.18\n",
      "399\t    0.0961\t    0.0572\t    0.0046\t    0.4956\t    685.73\n",
      "400\t    0.0960\t    0.0573\t    0.0046\t    0.4966\t    686.28\n",
      "401\t    0.0959\t    0.0573\t    0.0045\t    0.4975\t    686.83\n",
      "402\t    0.0959\t    0.0574\t    0.0045\t    0.4985\t    687.38\n",
      "403\t    0.0958\t    0.0574\t    0.0045\t    0.4994\t    687.93\n",
      "404\t    0.0958\t    0.0575\t    0.0045\t    0.5004\t    688.47\n",
      "405\t    0.0957\t    0.0575\t    0.0045\t    0.5013\t    689.01\n",
      "406\t    0.0956\t    0.0576\t    0.0045\t    0.5023\t    689.56\n",
      "407\t    0.0956\t    0.0576\t    0.0045\t    0.5033\t    690.10\n",
      "408\t    0.0955\t    0.0576\t    0.0045\t    0.5042\t    690.63\n",
      "409\t    0.0955\t    0.0577\t    0.0045\t    0.5052\t    691.17\n",
      "410\t    0.0954\t    0.0577\t    0.0044\t    0.5061\t    691.71\n",
      "411\t    0.0953\t    0.0578\t    0.0044\t    0.5071\t    692.24\n",
      "412\t    0.0953\t    0.0578\t    0.0044\t    0.5080\t    692.78\n",
      "413\t    0.0952\t    0.0579\t    0.0044\t    0.5090\t    693.31\n",
      "414\t    0.0952\t    0.0579\t    0.0044\t    0.5099\t    693.84\n",
      "415\t    0.0951\t    0.0579\t    0.0044\t    0.5109\t    694.37\n",
      "416\t    0.0951\t    0.0580\t    0.0044\t    0.5118\t    694.90\n",
      "417\t    0.0950\t    0.0580\t    0.0044\t    0.5128\t    695.43\n",
      "418\t    0.0949\t    0.0581\t    0.0044\t    0.5137\t    695.95\n",
      "419\t    0.0949\t    0.0581\t    0.0043\t    0.5147\t    696.48\n",
      "420\t    0.0948\t    0.0582\t    0.0043\t    0.5156\t    697.00\n",
      "421\t    0.0948\t    0.0582\t    0.0043\t    0.5166\t    697.52\n",
      "422\t    0.0947\t    0.0583\t    0.0043\t    0.5175\t    698.04\n",
      "423\t    0.0947\t    0.0583\t    0.0043\t    0.5185\t    698.56\n",
      "424\t    0.0946\t    0.0583\t    0.0043\t    0.5194\t    699.08\n",
      "425\t    0.0945\t    0.0584\t    0.0043\t    0.5203\t    699.60\n",
      "426\t    0.0945\t    0.0584\t    0.0043\t    0.5213\t    700.11\n",
      "427\t    0.0944\t    0.0585\t    0.0043\t    0.5222\t    700.63\n",
      "428\t    0.0944\t    0.0585\t    0.0043\t    0.5232\t    701.14\n",
      "429\t    0.0943\t    0.0586\t    0.0042\t    0.5241\t    701.65\n",
      "430\t    0.0943\t    0.0586\t    0.0042\t    0.5251\t    702.16\n",
      "431\t    0.0942\t    0.0586\t    0.0042\t    0.5260\t    702.67\n",
      "432\t    0.0942\t    0.0587\t    0.0042\t    0.5269\t    703.18\n",
      "433\t    0.0941\t    0.0587\t    0.0042\t    0.5279\t    703.69\n",
      "434\t    0.0940\t    0.0588\t    0.0042\t    0.5288\t    704.19\n",
      "435\t    0.0940\t    0.0588\t    0.0042\t    0.5298\t    704.70\n",
      "436\t    0.0939\t    0.0588\t    0.0042\t    0.5307\t    705.20\n",
      "437\t    0.0939\t    0.0589\t    0.0042\t    0.5316\t    705.71\n",
      "438\t    0.0938\t    0.0589\t    0.0042\t    0.5326\t    706.21\n",
      "439\t    0.0938\t    0.0590\t    0.0041\t    0.5335\t    706.71\n",
      "440\t    0.0937\t    0.0590\t    0.0041\t    0.5344\t    707.21\n",
      "441\t    0.0937\t    0.0591\t    0.0041\t    0.5354\t    707.70\n",
      "442\t    0.0936\t    0.0591\t    0.0041\t    0.5363\t    708.20\n",
      "443\t    0.0936\t    0.0591\t    0.0041\t    0.5373\t    708.70\n",
      "444\t    0.0935\t    0.0592\t    0.0041\t    0.5382\t    709.19\n",
      "445\t    0.0934\t    0.0592\t    0.0041\t    0.5391\t    709.68\n",
      "446\t    0.0934\t    0.0593\t    0.0041\t    0.5401\t    710.18\n",
      "447\t    0.0933\t    0.0593\t    0.0041\t    0.5410\t    710.67\n",
      "448\t    0.0933\t    0.0593\t    0.0041\t    0.5419\t    711.16\n",
      "449\t    0.0932\t    0.0594\t    0.0040\t    0.5429\t    711.65\n",
      "450\t    0.0932\t    0.0594\t    0.0040\t    0.5438\t    712.13\n",
      "451\t    0.0931\t    0.0595\t    0.0040\t    0.5447\t    712.62\n",
      "452\t    0.0931\t    0.0595\t    0.0040\t    0.5456\t    713.10\n",
      "453\t    0.0930\t    0.0595\t    0.0040\t    0.5466\t    713.59\n",
      "454\t    0.0930\t    0.0596\t    0.0040\t    0.5475\t    714.07\n",
      "455\t    0.0929\t    0.0596\t    0.0040\t    0.5484\t    714.55\n",
      "456\t    0.0929\t    0.0597\t    0.0040\t    0.5494\t    715.04\n",
      "457\t    0.0928\t    0.0597\t    0.0040\t    0.5503\t    715.52\n",
      "458\t    0.0928\t    0.0597\t    0.0040\t    0.5512\t    715.99\n",
      "459\t    0.0927\t    0.0598\t    0.0040\t    0.5521\t    716.47\n",
      "460\t    0.0927\t    0.0598\t    0.0039\t    0.5531\t    716.95\n",
      "461\t    0.0926\t    0.0599\t    0.0039\t    0.5540\t    717.43\n",
      "462\t    0.0926\t    0.0599\t    0.0039\t    0.5549\t    717.90\n",
      "463\t    0.0925\t    0.0599\t    0.0039\t    0.5558\t    718.37\n",
      "464\t    0.0925\t    0.0600\t    0.0039\t    0.5568\t    718.85\n",
      "465\t    0.0924\t    0.0600\t    0.0039\t    0.5577\t    719.32\n",
      "466\t    0.0924\t    0.0601\t    0.0039\t    0.5586\t    719.79\n",
      "467\t    0.0923\t    0.0601\t    0.0039\t    0.5595\t    720.26\n",
      "468\t    0.0923\t    0.0601\t    0.0039\t    0.5605\t    720.73\n",
      "469\t    0.0922\t    0.0602\t    0.0039\t    0.5614\t    721.19\n",
      "470\t    0.0922\t    0.0602\t    0.0039\t    0.5623\t    721.66\n",
      "471\t    0.0921\t    0.0602\t    0.0039\t    0.5632\t    722.13\n",
      "472\t    0.0921\t    0.0603\t    0.0038\t    0.5641\t    722.59\n",
      "473\t    0.0920\t    0.0603\t    0.0038\t    0.5651\t    723.05\n",
      "474\t    0.0920\t    0.0604\t    0.0038\t    0.5660\t    723.52\n",
      "475\t    0.0919\t    0.0604\t    0.0038\t    0.5669\t    723.98\n",
      "476\t    0.0919\t    0.0604\t    0.0038\t    0.5678\t    724.44\n",
      "477\t    0.0918\t    0.0605\t    0.0038\t    0.5687\t    724.90\n",
      "478\t    0.0918\t    0.0605\t    0.0038\t    0.5696\t    725.36\n",
      "479\t    0.0917\t    0.0606\t    0.0038\t    0.5706\t    725.81\n",
      "480\t    0.0917\t    0.0606\t    0.0038\t    0.5715\t    726.27\n",
      "481\t    0.0916\t    0.0606\t    0.0038\t    0.5724\t    726.72\n",
      "482\t    0.0916\t    0.0607\t    0.0038\t    0.5733\t    727.18\n",
      "483\t    0.0915\t    0.0607\t    0.0038\t    0.5742\t    727.63\n",
      "484\t    0.0915\t    0.0607\t    0.0037\t    0.5751\t    728.09\n",
      "485\t    0.0914\t    0.0608\t    0.0037\t    0.5760\t    728.54\n",
      "486\t    0.0914\t    0.0608\t    0.0037\t    0.5770\t    728.99\n",
      "487\t    0.0913\t    0.0609\t    0.0037\t    0.5779\t    729.44\n",
      "488\t    0.0913\t    0.0609\t    0.0037\t    0.5788\t    729.89\n",
      "489\t    0.0912\t    0.0609\t    0.0037\t    0.5797\t    730.33\n",
      "490\t    0.0912\t    0.0610\t    0.0037\t    0.5806\t    730.78\n",
      "491\t    0.0911\t    0.0610\t    0.0037\t    0.5815\t    731.23\n",
      "492\t    0.0911\t    0.0610\t    0.0037\t    0.5824\t    731.67\n",
      "493\t    0.0910\t    0.0611\t    0.0037\t    0.5833\t    732.12\n",
      "494\t    0.0910\t    0.0611\t    0.0037\t    0.5842\t    732.56\n",
      "495\t    0.0909\t    0.0611\t    0.0037\t    0.5852\t    733.00\n",
      "496\t    0.0909\t    0.0612\t    0.0037\t    0.5861\t    733.44\n",
      "497\t    0.0908\t    0.0612\t    0.0036\t    0.5870\t    733.88\n",
      "498\t    0.0908\t    0.0613\t    0.0036\t    0.5879\t    734.32\n",
      "499\t    0.0907\t    0.0613\t    0.0036\t    0.5888\t    734.76\n",
      "500\t    0.0907\t    0.0613\t    0.0036\t    0.5897\t    735.20\n",
      "501\t    0.0906\t    0.0614\t    0.0036\t    0.5906\t    735.64\n",
      "502\t    0.0906\t    0.0614\t    0.0036\t    0.5915\t    736.07\n",
      "503\t    0.0906\t    0.0614\t    0.0036\t    0.5924\t    736.51\n",
      "504\t    0.0905\t    0.0615\t    0.0036\t    0.5933\t    736.94\n",
      "505\t    0.0905\t    0.0615\t    0.0036\t    0.5942\t    737.38\n",
      "506\t    0.0904\t    0.0615\t    0.0036\t    0.5951\t    737.81\n",
      "507\t    0.0904\t    0.0616\t    0.0036\t    0.5960\t    738.24\n",
      "508\t    0.0903\t    0.0616\t    0.0036\t    0.5969\t    738.67\n",
      "509\t    0.0903\t    0.0617\t    0.0036\t    0.5978\t    739.10\n",
      "510\t    0.0902\t    0.0617\t    0.0036\t    0.5987\t    739.53\n",
      "511\t    0.0902\t    0.0617\t    0.0035\t    0.5996\t    739.96\n",
      "512\t    0.0901\t    0.0618\t    0.0035\t    0.6005\t    740.39\n",
      "513\t    0.0901\t    0.0618\t    0.0035\t    0.6014\t    740.81\n",
      "514\t    0.0901\t    0.0618\t    0.0035\t    0.6023\t    741.24\n",
      "515\t    0.0900\t    0.0619\t    0.0035\t    0.6032\t    741.66\n",
      "516\t    0.0900\t    0.0619\t    0.0035\t    0.6041\t    742.09\n",
      "517\t    0.0899\t    0.0619\t    0.0035\t    0.6050\t    742.51\n",
      "518\t    0.0899\t    0.0620\t    0.0035\t    0.6059\t    742.93\n",
      "519\t    0.0898\t    0.0620\t    0.0035\t    0.6068\t    743.35\n",
      "520\t    0.0898\t    0.0620\t    0.0035\t    0.6077\t    743.77\n",
      "521\t    0.0897\t    0.0621\t    0.0035\t    0.6086\t    744.19\n",
      "522\t    0.0897\t    0.0621\t    0.0035\t    0.6095\t    744.61\n",
      "523\t    0.0896\t    0.0621\t    0.0035\t    0.6104\t    745.03\n",
      "524\t    0.0896\t    0.0622\t    0.0035\t    0.6113\t    745.45\n",
      "525\t    0.0896\t    0.0622\t    0.0034\t    0.6122\t    745.87\n",
      "526\t    0.0895\t    0.0622\t    0.0034\t    0.6131\t    746.28\n",
      "527\t    0.0895\t    0.0623\t    0.0034\t    0.6140\t    746.70\n",
      "528\t    0.0894\t    0.0623\t    0.0034\t    0.6149\t    747.11\n",
      "529\t    0.0894\t    0.0624\t    0.0034\t    0.6158\t    747.52\n",
      "530\t    0.0893\t    0.0624\t    0.0034\t    0.6167\t    747.94\n",
      "531\t    0.0893\t    0.0624\t    0.0034\t    0.6176\t    748.35\n",
      "532\t    0.0892\t    0.0625\t    0.0034\t    0.6184\t    748.76\n",
      "533\t    0.0892\t    0.0625\t    0.0034\t    0.6193\t    749.17\n",
      "534\t    0.0892\t    0.0625\t    0.0034\t    0.6202\t    749.58\n",
      "535\t    0.0891\t    0.0626\t    0.0034\t    0.6211\t    749.99\n",
      "536\t    0.0891\t    0.0626\t    0.0034\t    0.6220\t    750.40\n",
      "537\t    0.0890\t    0.0626\t    0.0034\t    0.6229\t    750.80\n",
      "538\t    0.0890\t    0.0627\t    0.0034\t    0.6238\t    751.21\n",
      "539\t    0.0889\t    0.0627\t    0.0034\t    0.6247\t    751.61\n",
      "540\t    0.0889\t    0.0627\t    0.0034\t    0.6256\t    752.02\n",
      "541\t    0.0889\t    0.0628\t    0.0033\t    0.6264\t    752.42\n",
      "542\t    0.0888\t    0.0628\t    0.0033\t    0.6273\t    752.83\n",
      "543\t    0.0888\t    0.0628\t    0.0033\t    0.6282\t    753.23\n",
      "544\t    0.0887\t    0.0629\t    0.0033\t    0.6291\t    753.63\n",
      "545\t    0.0887\t    0.0629\t    0.0033\t    0.6300\t    754.03\n",
      "546\t    0.0886\t    0.0629\t    0.0033\t    0.6309\t    754.43\n",
      "547\t    0.0886\t    0.0630\t    0.0033\t    0.6318\t    754.83\n",
      "548\t    0.0886\t    0.0630\t    0.0033\t    0.6327\t    755.23\n",
      "549\t    0.0885\t    0.0630\t    0.0033\t    0.6335\t    755.63\n",
      "550\t    0.0885\t    0.0631\t    0.0033\t    0.6344\t    756.02\n",
      "551\t    0.0884\t    0.0631\t    0.0033\t    0.6353\t    756.42\n",
      "552\t    0.0884\t    0.0631\t    0.0033\t    0.6362\t    756.82\n",
      "553\t    0.0883\t    0.0632\t    0.0033\t    0.6371\t    757.21\n",
      "554\t    0.0883\t    0.0632\t    0.0033\t    0.6380\t    757.61\n",
      "555\t    0.0883\t    0.0632\t    0.0033\t    0.6388\t    758.00\n",
      "556\t    0.0882\t    0.0633\t    0.0033\t    0.6397\t    758.39\n",
      "557\t    0.0882\t    0.0633\t    0.0032\t    0.6406\t    758.78\n",
      "558\t    0.0881\t    0.0633\t    0.0032\t    0.6415\t    759.18\n",
      "559\t    0.0881\t    0.0633\t    0.0032\t    0.6424\t    759.57\n",
      "560\t    0.0881\t    0.0634\t    0.0032\t    0.6432\t    759.96\n",
      "561\t    0.0880\t    0.0634\t    0.0032\t    0.6441\t    760.35\n",
      "562\t    0.0880\t    0.0634\t    0.0032\t    0.6450\t    760.73\n",
      "563\t    0.0879\t    0.0635\t    0.0032\t    0.6459\t    761.12\n",
      "564\t    0.0879\t    0.0635\t    0.0032\t    0.6468\t    761.51\n",
      "565\t    0.0879\t    0.0635\t    0.0032\t    0.6476\t    761.90\n",
      "566\t    0.0878\t    0.0636\t    0.0032\t    0.6485\t    762.28\n",
      "567\t    0.0878\t    0.0636\t    0.0032\t    0.6494\t    762.67\n",
      "568\t    0.0877\t    0.0636\t    0.0032\t    0.6503\t    763.05\n",
      "569\t    0.0877\t    0.0637\t    0.0032\t    0.6511\t    763.43\n",
      "570\t    0.0876\t    0.0637\t    0.0032\t    0.6520\t    763.82\n",
      "571\t    0.0876\t    0.0637\t    0.0032\t    0.6529\t    764.20\n",
      "572\t    0.0876\t    0.0638\t    0.0032\t    0.6538\t    764.58\n",
      "573\t    0.0875\t    0.0638\t    0.0032\t    0.6546\t    764.96\n",
      "574\t    0.0875\t    0.0638\t    0.0031\t    0.6555\t    765.34\n",
      "575\t    0.0874\t    0.0639\t    0.0031\t    0.6564\t    765.72\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "576\t    0.0874\t    0.0639\t    0.0031\t    0.6573\t    766.10\n",
      "577\t    0.0874\t    0.0639\t    0.0031\t    0.6581\t    766.48\n",
      "578\t    0.0873\t    0.0640\t    0.0031\t    0.6590\t    766.86\n",
      "579\t    0.0873\t    0.0640\t    0.0031\t    0.6599\t    767.23\n",
      "580\t    0.0872\t    0.0640\t    0.0031\t    0.6607\t    767.61\n",
      "581\t    0.0872\t    0.0640\t    0.0031\t    0.6616\t    767.99\n",
      "582\t    0.0872\t    0.0641\t    0.0031\t    0.6625\t    768.36\n",
      "583\t    0.0871\t    0.0641\t    0.0031\t    0.6634\t    768.73\n",
      "584\t    0.0871\t    0.0641\t    0.0031\t    0.6642\t    769.11\n",
      "585\t    0.0871\t    0.0642\t    0.0031\t    0.6651\t    769.48\n",
      "586\t    0.0870\t    0.0642\t    0.0031\t    0.6660\t    769.85\n",
      "587\t    0.0870\t    0.0642\t    0.0031\t    0.6668\t    770.22\n",
      "588\t    0.0869\t    0.0643\t    0.0031\t    0.6677\t    770.60\n",
      "589\t    0.0869\t    0.0643\t    0.0031\t    0.6686\t    770.97\n",
      "590\t    0.0869\t    0.0643\t    0.0031\t    0.6694\t    771.34\n",
      "591\t    0.0868\t    0.0644\t    0.0031\t    0.6703\t    771.70\n",
      "592\t    0.0868\t    0.0644\t    0.0030\t    0.6712\t    772.07\n",
      "593\t    0.0867\t    0.0644\t    0.0030\t    0.6720\t    772.44\n",
      "594\t    0.0867\t    0.0644\t    0.0030\t    0.6729\t    772.81\n",
      "595\t    0.0867\t    0.0645\t    0.0030\t    0.6738\t    773.17\n",
      "596\t    0.0866\t    0.0645\t    0.0030\t    0.6746\t    773.54\n",
      "597\t    0.0866\t    0.0645\t    0.0030\t    0.6755\t    773.91\n",
      "598\t    0.0865\t    0.0646\t    0.0030\t    0.6764\t    774.27\n",
      "599\t    0.0865\t    0.0646\t    0.0030\t    0.6772\t    774.63\n",
      "600\t    0.0865\t    0.0646\t    0.0030\t    0.6781\t    775.00\n",
      "601\t    0.0864\t    0.0647\t    0.0030\t    0.6790\t    775.36\n",
      "602\t    0.0864\t    0.0647\t    0.0030\t    0.6798\t    775.72\n",
      "603\t    0.0864\t    0.0647\t    0.0030\t    0.6807\t    776.08\n",
      "604\t    0.0863\t    0.0647\t    0.0030\t    0.6816\t    776.45\n",
      "605\t    0.0863\t    0.0648\t    0.0030\t    0.6824\t    776.81\n",
      "606\t    0.0862\t    0.0648\t    0.0030\t    0.6833\t    777.17\n",
      "607\t    0.0862\t    0.0648\t    0.0030\t    0.6841\t    777.52\n",
      "608\t    0.0862\t    0.0649\t    0.0030\t    0.6850\t    777.88\n",
      "609\t    0.0861\t    0.0649\t    0.0030\t    0.6859\t    778.24\n",
      "610\t    0.0861\t    0.0649\t    0.0030\t    0.6867\t    778.60\n",
      "611\t    0.0861\t    0.0650\t    0.0030\t    0.6876\t    778.95\n",
      "612\t    0.0860\t    0.0650\t    0.0029\t    0.6884\t    779.31\n",
      "613\t    0.0860\t    0.0650\t    0.0029\t    0.6893\t    779.67\n",
      "614\t    0.0859\t    0.0650\t    0.0029\t    0.6902\t    780.02\n",
      "615\t    0.0859\t    0.0651\t    0.0029\t    0.6910\t    780.38\n",
      "616\t    0.0859\t    0.0651\t    0.0029\t    0.6919\t    780.73\n",
      "617\t    0.0858\t    0.0651\t    0.0029\t    0.6927\t    781.08\n",
      "618\t    0.0858\t    0.0652\t    0.0029\t    0.6936\t    781.44\n",
      "619\t    0.0858\t    0.0652\t    0.0029\t    0.6944\t    781.79\n",
      "620\t    0.0857\t    0.0652\t    0.0029\t    0.6953\t    782.14\n",
      "621\t    0.0857\t    0.0652\t    0.0029\t    0.6962\t    782.49\n",
      "622\t    0.0856\t    0.0653\t    0.0029\t    0.6970\t    782.84\n",
      "623\t    0.0856\t    0.0653\t    0.0029\t    0.6979\t    783.19\n",
      "624\t    0.0856\t    0.0653\t    0.0029\t    0.6987\t    783.54\n",
      "625\t    0.0855\t    0.0654\t    0.0029\t    0.6996\t    783.89\n",
      "626\t    0.0855\t    0.0654\t    0.0029\t    0.7004\t    784.24\n",
      "627\t    0.0855\t    0.0654\t    0.0029\t    0.7013\t    784.58\n",
      "628\t    0.0854\t    0.0654\t    0.0029\t    0.7021\t    784.93\n",
      "629\t    0.0854\t    0.0655\t    0.0029\t    0.7030\t    785.28\n",
      "630\t    0.0854\t    0.0655\t    0.0029\t    0.7038\t    785.62\n",
      "631\t    0.0853\t    0.0655\t    0.0029\t    0.7047\t    785.97\n",
      "632\t    0.0853\t    0.0656\t    0.0029\t    0.7056\t    786.31\n",
      "633\t    0.0852\t    0.0656\t    0.0028\t    0.7064\t    786.66\n",
      "634\t    0.0852\t    0.0656\t    0.0028\t    0.7073\t    787.00\n",
      "635\t    0.0852\t    0.0656\t    0.0028\t    0.7081\t    787.34\n",
      "636\t    0.0851\t    0.0657\t    0.0028\t    0.7090\t    787.68\n",
      "637\t    0.0851\t    0.0657\t    0.0028\t    0.7098\t    788.03\n",
      "638\t    0.0851\t    0.0657\t    0.0028\t    0.7107\t    788.37\n",
      "639\t    0.0850\t    0.0658\t    0.0028\t    0.7115\t    788.71\n",
      "640\t    0.0850\t    0.0658\t    0.0028\t    0.7124\t    789.05\n",
      "641\t    0.0850\t    0.0658\t    0.0028\t    0.7132\t    789.39\n",
      "642\t    0.0849\t    0.0658\t    0.0028\t    0.7141\t    789.73\n",
      "643\t    0.0849\t    0.0659\t    0.0028\t    0.7149\t    790.07\n",
      "644\t    0.0849\t    0.0659\t    0.0028\t    0.7157\t    790.40\n",
      "645\t    0.0848\t    0.0659\t    0.0028\t    0.7166\t    790.74\n",
      "646\t    0.0848\t    0.0660\t    0.0028\t    0.7174\t    791.08\n",
      "647\t    0.0847\t    0.0660\t    0.0028\t    0.7183\t    791.41\n",
      "648\t    0.0847\t    0.0660\t    0.0028\t    0.7191\t    791.75\n",
      "649\t    0.0847\t    0.0660\t    0.0028\t    0.7200\t    792.09\n",
      "650\t    0.0846\t    0.0661\t    0.0028\t    0.7208\t    792.42\n",
      "651\t    0.0846\t    0.0661\t    0.0028\t    0.7217\t    792.76\n",
      "652\t    0.0846\t    0.0661\t    0.0028\t    0.7225\t    793.09\n",
      "653\t    0.0845\t    0.0661\t    0.0028\t    0.7234\t    793.42\n",
      "654\t    0.0845\t    0.0662\t    0.0028\t    0.7242\t    793.76\n",
      "655\t    0.0845\t    0.0662\t    0.0027\t    0.7251\t    794.09\n",
      "656\t    0.0844\t    0.0662\t    0.0027\t    0.7259\t    794.42\n",
      "657\t    0.0844\t    0.0663\t    0.0027\t    0.7267\t    794.75\n",
      "658\t    0.0844\t    0.0663\t    0.0027\t    0.7276\t    795.08\n",
      "659\t    0.0843\t    0.0663\t    0.0027\t    0.7284\t    795.41\n",
      "660\t    0.0843\t    0.0663\t    0.0027\t    0.7293\t    795.74\n",
      "661\t    0.0843\t    0.0664\t    0.0027\t    0.7301\t    796.07\n",
      "662\t    0.0842\t    0.0664\t    0.0027\t    0.7309\t    796.40\n",
      "663\t    0.0842\t    0.0664\t    0.0027\t    0.7318\t    796.73\n",
      "664\t    0.0842\t    0.0664\t    0.0027\t    0.7326\t    797.05\n",
      "665\t    0.0841\t    0.0665\t    0.0027\t    0.7335\t    797.38\n",
      "666\t    0.0841\t    0.0665\t    0.0027\t    0.7343\t    797.71\n",
      "667\t    0.0841\t    0.0665\t    0.0027\t    0.7352\t    798.03\n",
      "668\t    0.0840\t    0.0666\t    0.0027\t    0.7360\t    798.36\n",
      "669\t    0.0840\t    0.0666\t    0.0027\t    0.7368\t    798.69\n",
      "670\t    0.0840\t    0.0666\t    0.0027\t    0.7377\t    799.01\n",
      "671\t    0.0839\t    0.0666\t    0.0027\t    0.7385\t    799.33\n",
      "672\t    0.0839\t    0.0667\t    0.0027\t    0.7393\t    799.66\n",
      "673\t    0.0839\t    0.0667\t    0.0027\t    0.7402\t    799.98\n",
      "674\t    0.0838\t    0.0667\t    0.0027\t    0.7410\t    800.30\n",
      "675\t    0.0838\t    0.0667\t    0.0027\t    0.7419\t    800.63\n",
      "676\t    0.0838\t    0.0668\t    0.0027\t    0.7427\t    800.95\n",
      "677\t    0.0837\t    0.0668\t    0.0027\t    0.7435\t    801.27\n",
      "678\t    0.0837\t    0.0668\t    0.0027\t    0.7444\t    801.59\n",
      "679\t    0.0837\t    0.0668\t    0.0026\t    0.7452\t    801.91\n",
      "680\t    0.0836\t    0.0669\t    0.0026\t    0.7460\t    802.23\n",
      "681\t    0.0836\t    0.0669\t    0.0026\t    0.7469\t    802.55\n",
      "682\t    0.0836\t    0.0669\t    0.0026\t    0.7477\t    802.87\n",
      "683\t    0.0835\t    0.0670\t    0.0026\t    0.7485\t    803.19\n",
      "684\t    0.0835\t    0.0670\t    0.0026\t    0.7494\t    803.50\n",
      "685\t    0.0835\t    0.0670\t    0.0026\t    0.7502\t    803.82\n",
      "686\t    0.0834\t    0.0670\t    0.0026\t    0.7510\t    804.14\n",
      "687\t    0.0834\t    0.0671\t    0.0026\t    0.7519\t    804.45\n",
      "688\t    0.0834\t    0.0671\t    0.0026\t    0.7527\t    804.77\n",
      "689\t    0.0833\t    0.0671\t    0.0026\t    0.7535\t    805.09\n",
      "690\t    0.0833\t    0.0671\t    0.0026\t    0.7544\t    805.40\n",
      "691\t    0.0833\t    0.0672\t    0.0026\t    0.7552\t    805.72\n",
      "692\t    0.0832\t    0.0672\t    0.0026\t    0.7560\t    806.03\n",
      "693\t    0.0832\t    0.0672\t    0.0026\t    0.7569\t    806.34\n",
      "694\t    0.0832\t    0.0672\t    0.0026\t    0.7577\t    806.66\n",
      "695\t    0.0831\t    0.0673\t    0.0026\t    0.7585\t    806.97\n",
      "696\t    0.0831\t    0.0673\t    0.0026\t    0.7594\t    807.28\n",
      "697\t    0.0831\t    0.0673\t    0.0026\t    0.7602\t    807.59\n",
      "698\t    0.0830\t    0.0673\t    0.0026\t    0.7610\t    807.90\n",
      "699\t    0.0830\t    0.0674\t    0.0026\t    0.7619\t    808.22\n",
      "700\t    0.0830\t    0.0674\t    0.0026\t    0.7627\t    808.53\n",
      "701\t    0.0829\t    0.0674\t    0.0026\t    0.7635\t    808.84\n",
      "702\t    0.0829\t    0.0674\t    0.0026\t    0.7643\t    809.15\n",
      "703\t    0.0829\t    0.0675\t    0.0026\t    0.7652\t    809.45\n",
      "704\t    0.0828\t    0.0675\t    0.0026\t    0.7660\t    809.76\n",
      "705\t    0.0828\t    0.0675\t    0.0025\t    0.7668\t    810.07\n",
      "706\t    0.0828\t    0.0675\t    0.0025\t    0.7676\t    810.38\n",
      "707\t    0.0827\t    0.0676\t    0.0025\t    0.7685\t    810.69\n",
      "708\t    0.0827\t    0.0676\t    0.0025\t    0.7693\t    810.99\n",
      "709\t    0.0827\t    0.0676\t    0.0025\t    0.7701\t    811.30\n",
      "710\t    0.0826\t    0.0677\t    0.0025\t    0.7710\t    811.61\n",
      "711\t    0.0826\t    0.0677\t    0.0025\t    0.7718\t    811.91\n",
      "712\t    0.0826\t    0.0677\t    0.0025\t    0.7726\t    812.22\n",
      "713\t    0.0826\t    0.0677\t    0.0025\t    0.7734\t    812.52\n",
      "714\t    0.0825\t    0.0678\t    0.0025\t    0.7743\t    812.83\n",
      "715\t    0.0825\t    0.0678\t    0.0025\t    0.7751\t    813.13\n",
      "716\t    0.0825\t    0.0678\t    0.0025\t    0.7759\t    813.43\n",
      "717\t    0.0824\t    0.0678\t    0.0025\t    0.7767\t    813.74\n",
      "718\t    0.0824\t    0.0679\t    0.0025\t    0.7775\t    814.04\n",
      "719\t    0.0824\t    0.0679\t    0.0025\t    0.7784\t    814.34\n",
      "720\t    0.0823\t    0.0679\t    0.0025\t    0.7792\t    814.64\n",
      "721\t    0.0823\t    0.0679\t    0.0025\t    0.7800\t    814.94\n",
      "722\t    0.0823\t    0.0680\t    0.0025\t    0.7808\t    815.24\n",
      "723\t    0.0822\t    0.0680\t    0.0025\t    0.7817\t    815.54\n",
      "724\t    0.0822\t    0.0680\t    0.0025\t    0.7825\t    815.84\n",
      "725\t    0.0822\t    0.0680\t    0.0025\t    0.7833\t    816.14\n",
      "726\t    0.0821\t    0.0681\t    0.0025\t    0.7841\t    816.44\n",
      "727\t    0.0821\t    0.0681\t    0.0025\t    0.7849\t    816.74\n",
      "728\t    0.0821\t    0.0681\t    0.0025\t    0.7858\t    817.04\n",
      "729\t    0.0821\t    0.0681\t    0.0025\t    0.7866\t    817.34\n",
      "730\t    0.0820\t    0.0681\t    0.0025\t    0.7874\t    817.63\n",
      "731\t    0.0820\t    0.0682\t    0.0025\t    0.7882\t    817.93\n",
      "732\t    0.0820\t    0.0682\t    0.0025\t    0.7890\t    818.23\n",
      "733\t    0.0819\t    0.0682\t    0.0024\t    0.7899\t    818.52\n",
      "734\t    0.0819\t    0.0682\t    0.0024\t    0.7907\t    818.82\n",
      "735\t    0.0819\t    0.0683\t    0.0024\t    0.7915\t    819.12\n",
      "736\t    0.0818\t    0.0683\t    0.0024\t    0.7923\t    819.41\n",
      "737\t    0.0818\t    0.0683\t    0.0024\t    0.7931\t    819.70\n",
      "738\t    0.0818\t    0.0683\t    0.0024\t    0.7939\t    820.00\n",
      "739\t    0.0817\t    0.0684\t    0.0024\t    0.7948\t    820.29\n",
      "740\t    0.0817\t    0.0684\t    0.0024\t    0.7956\t    820.59\n",
      "741\t    0.0817\t    0.0684\t    0.0024\t    0.7964\t    820.88\n",
      "742\t    0.0817\t    0.0684\t    0.0024\t    0.7972\t    821.17\n",
      "743\t    0.0816\t    0.0685\t    0.0024\t    0.7980\t    821.46\n",
      "744\t    0.0816\t    0.0685\t    0.0024\t    0.7988\t    821.75\n",
      "745\t    0.0816\t    0.0685\t    0.0024\t    0.7997\t    822.05\n",
      "746\t    0.0815\t    0.0685\t    0.0024\t    0.8005\t    822.34\n",
      "747\t    0.0815\t    0.0686\t    0.0024\t    0.8013\t    822.63\n",
      "748\t    0.0815\t    0.0686\t    0.0024\t    0.8021\t    822.92\n",
      "749\t    0.0814\t    0.0686\t    0.0024\t    0.8029\t    823.21\n",
      "750\t    0.0814\t    0.0686\t    0.0024\t    0.8037\t    823.50\n",
      "751\t    0.0814\t    0.0687\t    0.0024\t    0.8045\t    823.79\n",
      "752\t    0.0814\t    0.0687\t    0.0024\t    0.8054\t    824.07\n",
      "753\t    0.0813\t    0.0687\t    0.0024\t    0.8062\t    824.36\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "754\t    0.0813\t    0.0687\t    0.0024\t    0.8070\t    824.65\n",
      "755\t    0.0813\t    0.0688\t    0.0024\t    0.8078\t    824.94\n",
      "756\t    0.0812\t    0.0688\t    0.0024\t    0.8086\t    825.22\n",
      "757\t    0.0812\t    0.0688\t    0.0024\t    0.8094\t    825.51\n",
      "758\t    0.0812\t    0.0688\t    0.0024\t    0.8102\t    825.80\n",
      "759\t    0.0812\t    0.0688\t    0.0024\t    0.8110\t    826.08\n",
      "760\t    0.0811\t    0.0689\t    0.0024\t    0.8118\t    826.37\n",
      "761\t    0.0811\t    0.0689\t    0.0024\t    0.8127\t    826.65\n",
      "762\t    0.0811\t    0.0689\t    0.0024\t    0.8135\t    826.94\n",
      "763\t    0.0810\t    0.0689\t    0.0023\t    0.8143\t    827.22\n",
      "764\t    0.0810\t    0.0690\t    0.0023\t    0.8151\t    827.51\n",
      "765\t    0.0810\t    0.0690\t    0.0023\t    0.8159\t    827.79\n",
      "766\t    0.0809\t    0.0690\t    0.0023\t    0.8167\t    828.07\n",
      "767\t    0.0809\t    0.0690\t    0.0023\t    0.8175\t    828.36\n",
      "768\t    0.0809\t    0.0691\t    0.0023\t    0.8183\t    828.64\n",
      "769\t    0.0809\t    0.0691\t    0.0023\t    0.8191\t    828.92\n",
      "770\t    0.0808\t    0.0691\t    0.0023\t    0.8199\t    829.20\n",
      "771\t    0.0808\t    0.0691\t    0.0023\t    0.8207\t    829.48\n",
      "772\t    0.0808\t    0.0692\t    0.0023\t    0.8216\t    829.76\n",
      "773\t    0.0807\t    0.0692\t    0.0023\t    0.8224\t    830.04\n",
      "774\t    0.0807\t    0.0692\t    0.0023\t    0.8232\t    830.32\n",
      "775\t    0.0807\t    0.0692\t    0.0023\t    0.8240\t    830.60\n",
      "776\t    0.0807\t    0.0692\t    0.0023\t    0.8248\t    830.88\n",
      "777\t    0.0806\t    0.0693\t    0.0023\t    0.8256\t    831.16\n",
      "778\t    0.0806\t    0.0693\t    0.0023\t    0.8264\t    831.44\n",
      "779\t    0.0806\t    0.0693\t    0.0023\t    0.8272\t    831.72\n",
      "780\t    0.0805\t    0.0693\t    0.0023\t    0.8280\t    832.00\n",
      "781\t    0.0805\t    0.0694\t    0.0023\t    0.8288\t    832.28\n",
      "782\t    0.0805\t    0.0694\t    0.0023\t    0.8296\t    832.55\n",
      "783\t    0.0805\t    0.0694\t    0.0023\t    0.8304\t    832.83\n",
      "784\t    0.0804\t    0.0694\t    0.0023\t    0.8312\t    833.11\n",
      "785\t    0.0804\t    0.0695\t    0.0023\t    0.8320\t    833.38\n",
      "786\t    0.0804\t    0.0695\t    0.0023\t    0.8328\t    833.66\n",
      "787\t    0.0803\t    0.0695\t    0.0023\t    0.8336\t    833.93\n",
      "788\t    0.0803\t    0.0695\t    0.0023\t    0.8344\t    834.21\n",
      "789\t    0.0803\t    0.0695\t    0.0023\t    0.8352\t    834.48\n",
      "790\t    0.0803\t    0.0696\t    0.0023\t    0.8360\t    834.76\n",
      "791\t    0.0802\t    0.0696\t    0.0023\t    0.8368\t    835.03\n",
      "792\t    0.0802\t    0.0696\t    0.0023\t    0.8376\t    835.30\n",
      "793\t    0.0802\t    0.0696\t    0.0023\t    0.8384\t    835.58\n",
      "794\t    0.0802\t    0.0697\t    0.0023\t    0.8392\t    835.85\n",
      "795\t    0.0801\t    0.0697\t    0.0023\t    0.8400\t    836.12\n",
      "796\t    0.0801\t    0.0697\t    0.0022\t    0.8408\t    836.40\n",
      "797\t    0.0801\t    0.0697\t    0.0022\t    0.8416\t    836.67\n",
      "798\t    0.0800\t    0.0697\t    0.0022\t    0.8424\t    836.94\n",
      "799\t    0.0800\t    0.0698\t    0.0022\t    0.8432\t    837.21\n",
      "800\t    0.0800\t    0.0698\t    0.0022\t    0.8440\t    837.48\n",
      "801\t    0.0800\t    0.0698\t    0.0022\t    0.8448\t    837.75\n",
      "802\t    0.0799\t    0.0698\t    0.0022\t    0.8456\t    838.02\n",
      "803\t    0.0799\t    0.0699\t    0.0022\t    0.8464\t    838.29\n",
      "804\t    0.0799\t    0.0699\t    0.0022\t    0.8472\t    838.56\n",
      "805\t    0.0798\t    0.0699\t    0.0022\t    0.8480\t    838.83\n",
      "806\t    0.0798\t    0.0699\t    0.0022\t    0.8488\t    839.10\n",
      "807\t    0.0798\t    0.0699\t    0.0022\t    0.8496\t    839.37\n",
      "808\t    0.0798\t    0.0700\t    0.0022\t    0.8504\t    839.64\n",
      "809\t    0.0797\t    0.0700\t    0.0022\t    0.8512\t    839.90\n",
      "810\t    0.0797\t    0.0700\t    0.0022\t    0.8520\t    840.17\n",
      "811\t    0.0797\t    0.0700\t    0.0022\t    0.8528\t    840.44\n",
      "812\t    0.0797\t    0.0701\t    0.0022\t    0.8536\t    840.70\n",
      "813\t    0.0796\t    0.0701\t    0.0022\t    0.8544\t    840.97\n",
      "814\t    0.0796\t    0.0701\t    0.0022\t    0.8552\t    841.24\n",
      "815\t    0.0796\t    0.0701\t    0.0022\t    0.8560\t    841.50\n",
      "816\t    0.0795\t    0.0701\t    0.0022\t    0.8568\t    841.77\n",
      "817\t    0.0795\t    0.0702\t    0.0022\t    0.8576\t    842.03\n",
      "818\t    0.0795\t    0.0702\t    0.0022\t    0.8584\t    842.30\n",
      "819\t    0.0795\t    0.0702\t    0.0022\t    0.8592\t    842.56\n",
      "820\t    0.0794\t    0.0702\t    0.0022\t    0.8600\t    842.83\n",
      "821\t    0.0794\t    0.0703\t    0.0022\t    0.8608\t    843.09\n",
      "822\t    0.0794\t    0.0703\t    0.0022\t    0.8615\t    843.35\n",
      "823\t    0.0794\t    0.0703\t    0.0022\t    0.8623\t    843.62\n",
      "824\t    0.0793\t    0.0703\t    0.0022\t    0.8631\t    843.88\n",
      "825\t    0.0793\t    0.0703\t    0.0022\t    0.8639\t    844.14\n",
      "826\t    0.0793\t    0.0704\t    0.0022\t    0.8647\t    844.40\n",
      "827\t    0.0792\t    0.0704\t    0.0022\t    0.8655\t    844.67\n",
      "828\t    0.0792\t    0.0704\t    0.0022\t    0.8663\t    844.93\n",
      "829\t    0.0792\t    0.0704\t    0.0022\t    0.8671\t    845.19\n",
      "830\t    0.0792\t    0.0704\t    0.0022\t    0.8679\t    845.45\n",
      "831\t    0.0791\t    0.0705\t    0.0022\t    0.8687\t    845.71\n",
      "832\t    0.0791\t    0.0705\t    0.0021\t    0.8695\t    845.97\n",
      "833\t    0.0791\t    0.0705\t    0.0021\t    0.8703\t    846.23\n",
      "834\t    0.0791\t    0.0705\t    0.0021\t    0.8710\t    846.49\n",
      "835\t    0.0790\t    0.0706\t    0.0021\t    0.8718\t    846.75\n",
      "836\t    0.0790\t    0.0706\t    0.0021\t    0.8726\t    847.01\n",
      "837\t    0.0790\t    0.0706\t    0.0021\t    0.8734\t    847.27\n",
      "838\t    0.0790\t    0.0706\t    0.0021\t    0.8742\t    847.53\n",
      "839\t    0.0789\t    0.0706\t    0.0021\t    0.8750\t    847.78\n",
      "840\t    0.0789\t    0.0707\t    0.0021\t    0.8758\t    848.04\n",
      "841\t    0.0789\t    0.0707\t    0.0021\t    0.8766\t    848.30\n",
      "842\t    0.0789\t    0.0707\t    0.0021\t    0.8774\t    848.56\n",
      "843\t    0.0788\t    0.0707\t    0.0021\t    0.8781\t    848.81\n",
      "844\t    0.0788\t    0.0707\t    0.0021\t    0.8789\t    849.07\n",
      "845\t    0.0788\t    0.0708\t    0.0021\t    0.8797\t    849.32\n",
      "846\t    0.0787\t    0.0708\t    0.0021\t    0.8805\t    849.58\n",
      "847\t    0.0787\t    0.0708\t    0.0021\t    0.8813\t    849.84\n",
      "848\t    0.0787\t    0.0708\t    0.0021\t    0.8821\t    850.09\n",
      "849\t    0.0787\t    0.0709\t    0.0021\t    0.8829\t    850.35\n",
      "850\t    0.0786\t    0.0709\t    0.0021\t    0.8836\t    850.60\n",
      "851\t    0.0786\t    0.0709\t    0.0021\t    0.8844\t    850.86\n",
      "852\t    0.0786\t    0.0709\t    0.0021\t    0.8852\t    851.11\n",
      "853\t    0.0786\t    0.0709\t    0.0021\t    0.8860\t    851.36\n",
      "854\t    0.0785\t    0.0710\t    0.0021\t    0.8868\t    851.62\n",
      "855\t    0.0785\t    0.0710\t    0.0021\t    0.8876\t    851.87\n",
      "856\t    0.0785\t    0.0710\t    0.0021\t    0.8884\t    852.12\n",
      "857\t    0.0785\t    0.0710\t    0.0021\t    0.8891\t    852.37\n",
      "858\t    0.0784\t    0.0710\t    0.0021\t    0.8899\t    852.63\n",
      "859\t    0.0784\t    0.0711\t    0.0021\t    0.8907\t    852.88\n",
      "860\t    0.0784\t    0.0711\t    0.0021\t    0.8915\t    853.13\n",
      "861\t    0.0784\t    0.0711\t    0.0021\t    0.8923\t    853.38\n",
      "862\t    0.0783\t    0.0711\t    0.0021\t    0.8931\t    853.63\n",
      "863\t    0.0783\t    0.0711\t    0.0021\t    0.8938\t    853.88\n",
      "864\t    0.0783\t    0.0712\t    0.0021\t    0.8946\t    854.13\n",
      "865\t    0.0783\t    0.0712\t    0.0021\t    0.8954\t    854.38\n",
      "866\t    0.0782\t    0.0712\t    0.0021\t    0.8962\t    854.63\n",
      "867\t    0.0782\t    0.0712\t    0.0021\t    0.8970\t    854.88\n",
      "868\t    0.0782\t    0.0712\t    0.0021\t    0.8977\t    855.13\n",
      "869\t    0.0782\t    0.0713\t    0.0021\t    0.8985\t    855.38\n",
      "870\t    0.0781\t    0.0713\t    0.0021\t    0.8993\t    855.63\n",
      "871\t    0.0781\t    0.0713\t    0.0021\t    0.9001\t    855.88\n",
      "872\t    0.0781\t    0.0713\t    0.0020\t    0.9009\t    856.13\n",
      "873\t    0.0781\t    0.0713\t    0.0020\t    0.9017\t    856.37\n",
      "874\t    0.0780\t    0.0714\t    0.0020\t    0.9024\t    856.62\n",
      "875\t    0.0780\t    0.0714\t    0.0020\t    0.9032\t    856.87\n",
      "876\t    0.0780\t    0.0714\t    0.0020\t    0.9040\t    857.11\n",
      "877\t    0.0780\t    0.0714\t    0.0020\t    0.9048\t    857.36\n",
      "878\t    0.0779\t    0.0715\t    0.0020\t    0.9055\t    857.61\n",
      "879\t    0.0779\t    0.0715\t    0.0020\t    0.9063\t    857.85\n",
      "880\t    0.0779\t    0.0715\t    0.0020\t    0.9071\t    858.10\n",
      "881\t    0.0779\t    0.0715\t    0.0020\t    0.9079\t    858.35\n",
      "882\t    0.0778\t    0.0715\t    0.0020\t    0.9087\t    858.59\n",
      "883\t    0.0778\t    0.0716\t    0.0020\t    0.9094\t    858.84\n",
      "884\t    0.0778\t    0.0716\t    0.0020\t    0.9102\t    859.08\n",
      "885\t    0.0778\t    0.0716\t    0.0020\t    0.9110\t    859.32\n",
      "886\t    0.0777\t    0.0716\t    0.0020\t    0.9118\t    859.57\n",
      "887\t    0.0777\t    0.0716\t    0.0020\t    0.9125\t    859.81\n",
      "888\t    0.0777\t    0.0717\t    0.0020\t    0.9133\t    860.06\n",
      "889\t    0.0777\t    0.0717\t    0.0020\t    0.9141\t    860.30\n",
      "890\t    0.0776\t    0.0717\t    0.0020\t    0.9149\t    860.54\n",
      "891\t    0.0776\t    0.0717\t    0.0020\t    0.9156\t    860.78\n",
      "892\t    0.0776\t    0.0717\t    0.0020\t    0.9164\t    861.03\n",
      "893\t    0.0776\t    0.0718\t    0.0020\t    0.9172\t    861.27\n",
      "894\t    0.0775\t    0.0718\t    0.0020\t    0.9180\t    861.51\n",
      "895\t    0.0775\t    0.0718\t    0.0020\t    0.9187\t    861.75\n",
      "896\t    0.0775\t    0.0718\t    0.0020\t    0.9195\t    861.99\n",
      "897\t    0.0775\t    0.0718\t    0.0020\t    0.9203\t    862.23\n",
      "898\t    0.0774\t    0.0719\t    0.0020\t    0.9211\t    862.47\n",
      "899\t    0.0774\t    0.0719\t    0.0020\t    0.9218\t    862.72\n",
      "900\t    0.0774\t    0.0719\t    0.0020\t    0.9226\t    862.96\n",
      "901\t    0.0774\t    0.0719\t    0.0020\t    0.9234\t    863.20\n",
      "902\t    0.0773\t    0.0719\t    0.0020\t    0.9242\t    863.43\n",
      "903\t    0.0773\t    0.0720\t    0.0020\t    0.9249\t    863.67\n",
      "904\t    0.0773\t    0.0720\t    0.0020\t    0.9257\t    863.91\n",
      "905\t    0.0773\t    0.0720\t    0.0020\t    0.9265\t    864.15\n",
      "906\t    0.0772\t    0.0720\t    0.0020\t    0.9272\t    864.39\n",
      "907\t    0.0772\t    0.0720\t    0.0020\t    0.9280\t    864.63\n",
      "908\t    0.0772\t    0.0721\t    0.0020\t    0.9288\t    864.87\n",
      "909\t    0.0772\t    0.0721\t    0.0020\t    0.9296\t    865.10\n",
      "910\t    0.0772\t    0.0721\t    0.0020\t    0.9303\t    865.34\n",
      "911\t    0.0771\t    0.0721\t    0.0020\t    0.9311\t    865.58\n",
      "912\t    0.0771\t    0.0721\t    0.0020\t    0.9319\t    865.82\n",
      "913\t    0.0771\t    0.0721\t    0.0020\t    0.9326\t    866.05\n",
      "914\t    0.0771\t    0.0722\t    0.0020\t    0.9334\t    866.29\n",
      "915\t    0.0770\t    0.0722\t    0.0019\t    0.9342\t    866.53\n",
      "916\t    0.0770\t    0.0722\t    0.0019\t    0.9350\t    866.76\n",
      "917\t    0.0770\t    0.0722\t    0.0019\t    0.9357\t    867.00\n",
      "918\t    0.0770\t    0.0722\t    0.0019\t    0.9365\t    867.23\n",
      "919\t    0.0769\t    0.0723\t    0.0019\t    0.9373\t    867.47\n",
      "920\t    0.0769\t    0.0723\t    0.0019\t    0.9380\t    867.70\n",
      "921\t    0.0769\t    0.0723\t    0.0019\t    0.9388\t    867.94\n",
      "922\t    0.0769\t    0.0723\t    0.0019\t    0.9396\t    868.17\n",
      "923\t    0.0768\t    0.0723\t    0.0019\t    0.9403\t    868.40\n",
      "924\t    0.0768\t    0.0724\t    0.0019\t    0.9411\t    868.64\n",
      "925\t    0.0768\t    0.0724\t    0.0019\t    0.9419\t    868.87\n",
      "926\t    0.0768\t    0.0724\t    0.0019\t    0.9426\t    869.11\n",
      "927\t    0.0767\t    0.0724\t    0.0019\t    0.9434\t    869.34\n",
      "928\t    0.0767\t    0.0724\t    0.0019\t    0.9442\t    869.57\n",
      "929\t    0.0767\t    0.0725\t    0.0019\t    0.9449\t    869.80\n",
      "930\t    0.0767\t    0.0725\t    0.0019\t    0.9457\t    870.04\n",
      "931\t    0.0767\t    0.0725\t    0.0019\t    0.9465\t    870.27\n",
      "932\t    0.0766\t    0.0725\t    0.0019\t    0.9472\t    870.50\n",
      "933\t    0.0766\t    0.0725\t    0.0019\t    0.9480\t    870.73\n",
      "934\t    0.0766\t    0.0726\t    0.0019\t    0.9488\t    870.96\n",
      "935\t    0.0766\t    0.0726\t    0.0019\t    0.9495\t    871.19\n",
      "936\t    0.0765\t    0.0726\t    0.0019\t    0.9503\t    871.42\n",
      "937\t    0.0765\t    0.0726\t    0.0019\t    0.9511\t    871.65\n",
      "938\t    0.0765\t    0.0726\t    0.0019\t    0.9518\t    871.88\n",
      "939\t    0.0765\t    0.0726\t    0.0019\t    0.9526\t    872.11\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "940\t    0.0764\t    0.0727\t    0.0019\t    0.9534\t    872.34\n",
      "941\t    0.0764\t    0.0727\t    0.0019\t    0.9541\t    872.57\n",
      "942\t    0.0764\t    0.0727\t    0.0019\t    0.9549\t    872.80\n",
      "943\t    0.0764\t    0.0727\t    0.0019\t    0.9556\t    873.03\n",
      "944\t    0.0764\t    0.0727\t    0.0019\t    0.9564\t    873.26\n",
      "945\t    0.0763\t    0.0728\t    0.0019\t    0.9572\t    873.49\n",
      "946\t    0.0763\t    0.0728\t    0.0019\t    0.9579\t    873.72\n",
      "947\t    0.0763\t    0.0728\t    0.0019\t    0.9587\t    873.95\n",
      "948\t    0.0763\t    0.0728\t    0.0019\t    0.9595\t    874.17\n",
      "949\t    0.0762\t    0.0728\t    0.0019\t    0.9602\t    874.40\n",
      "950\t    0.0762\t    0.0729\t    0.0019\t    0.9610\t    874.63\n",
      "951\t    0.0762\t    0.0729\t    0.0019\t    0.9617\t    874.86\n",
      "952\t    0.0762\t    0.0729\t    0.0019\t    0.9625\t    875.08\n",
      "953\t    0.0761\t    0.0729\t    0.0019\t    0.9633\t    875.31\n",
      "954\t    0.0761\t    0.0729\t    0.0019\t    0.9640\t    875.53\n",
      "955\t    0.0761\t    0.0729\t    0.0019\t    0.9648\t    875.76\n",
      "956\t    0.0761\t    0.0730\t    0.0019\t    0.9655\t    875.99\n",
      "957\t    0.0761\t    0.0730\t    0.0019\t    0.9663\t    876.21\n",
      "958\t    0.0760\t    0.0730\t    0.0019\t    0.9671\t    876.44\n",
      "959\t    0.0760\t    0.0730\t    0.0019\t    0.9678\t    876.66\n",
      "960\t    0.0760\t    0.0730\t    0.0019\t    0.9686\t    876.89\n",
      "961\t    0.0760\t    0.0731\t    0.0019\t    0.9693\t    877.11\n",
      "962\t    0.0759\t    0.0731\t    0.0019\t    0.9701\t    877.34\n",
      "963\t    0.0759\t    0.0731\t    0.0018\t    0.9709\t    877.56\n",
      "964\t    0.0759\t    0.0731\t    0.0018\t    0.9716\t    877.78\n",
      "965\t    0.0759\t    0.0731\t    0.0018\t    0.9724\t    878.01\n",
      "966\t    0.0759\t    0.0732\t    0.0018\t    0.9731\t    878.23\n",
      "967\t    0.0758\t    0.0732\t    0.0018\t    0.9739\t    878.45\n",
      "968\t    0.0758\t    0.0732\t    0.0018\t    0.9746\t    878.68\n",
      "969\t    0.0758\t    0.0732\t    0.0018\t    0.9754\t    878.90\n",
      "970\t    0.0758\t    0.0732\t    0.0018\t    0.9762\t    879.12\n",
      "971\t    0.0757\t    0.0732\t    0.0018\t    0.9769\t    879.35\n",
      "972\t    0.0757\t    0.0733\t    0.0018\t    0.9777\t    879.57\n",
      "973\t    0.0757\t    0.0733\t    0.0018\t    0.9784\t    879.79\n",
      "974\t    0.0757\t    0.0733\t    0.0018\t    0.9792\t    880.01\n",
      "975\t    0.0757\t    0.0733\t    0.0018\t    0.9799\t    880.23\n",
      "976\t    0.0756\t    0.0733\t    0.0018\t    0.9807\t    880.45\n",
      "977\t    0.0756\t    0.0734\t    0.0018\t    0.9815\t    880.67\n",
      "978\t    0.0756\t    0.0734\t    0.0018\t    0.9822\t    880.89\n",
      "979\t    0.0756\t    0.0734\t    0.0018\t    0.9830\t    881.11\n",
      "980\t    0.0755\t    0.0734\t    0.0018\t    0.9837\t    881.33\n",
      "981\t    0.0755\t    0.0734\t    0.0018\t    0.9845\t    881.55\n",
      "982\t    0.0755\t    0.0734\t    0.0018\t    0.9852\t    881.77\n",
      "983\t    0.0755\t    0.0735\t    0.0018\t    0.9860\t    881.99\n",
      "984\t    0.0755\t    0.0735\t    0.0018\t    0.9867\t    882.21\n",
      "985\t    0.0754\t    0.0735\t    0.0018\t    0.9875\t    882.43\n",
      "986\t    0.0754\t    0.0735\t    0.0018\t    0.9882\t    882.65\n",
      "987\t    0.0754\t    0.0735\t    0.0018\t    0.9890\t    882.87\n",
      "988\t    0.0754\t    0.0736\t    0.0018\t    0.9897\t    883.09\n",
      "989\t    0.0753\t    0.0736\t    0.0018\t    0.9905\t    883.31\n",
      "990\t    0.0753\t    0.0736\t    0.0018\t    0.9913\t    883.52\n",
      "991\t    0.0753\t    0.0736\t    0.0018\t    0.9920\t    883.74\n",
      "992\t    0.0753\t    0.0736\t    0.0018\t    0.9928\t    883.96\n",
      "993\t    0.0753\t    0.0736\t    0.0018\t    0.9935\t    884.18\n",
      "994\t    0.0752\t    0.0737\t    0.0018\t    0.9943\t    884.39\n",
      "995\t    0.0752\t    0.0737\t    0.0018\t    0.9950\t    884.61\n",
      "996\t    0.0752\t    0.0737\t    0.0018\t    0.9958\t    884.83\n",
      "997\t    0.0752\t    0.0737\t    0.0018\t    0.9965\t    885.04\n",
      "998\t    0.0751\t    0.0737\t    0.0018\t    0.9973\t    885.26\n",
      "999\t    0.0751\t    0.0738\t    0.0018\t    0.9980\t    885.47\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.3066\t    0.0033\t    0.0031\t    0.0033\t      0.39\n",
      "  1\t    0.2789\t    0.0030\t    0.0056\t    0.0061\t      1.07\n",
      "  2\t    0.2632\t    0.0029\t    0.0078\t    0.0087\t      2.02\n",
      "  3\t    0.2519\t    0.0028\t    0.0097\t    0.0112\t      3.20\n",
      "  4\t    0.2438\t    0.0027\t    0.0115\t    0.0137\t      4.59\n",
      "  5\t    0.2372\t    0.0026\t    0.0131\t    0.0160\t      6.16\n",
      "  6\t    0.2317\t    0.0026\t    0.0145\t    0.0184\t      7.92\n",
      "  7\t    0.2269\t    0.0026\t    0.0159\t    0.0206\t      9.83\n",
      "  8\t    0.2227\t    0.0027\t    0.0171\t    0.0229\t     11.89\n",
      "  9\t    0.2190\t    0.0027\t    0.0182\t    0.0250\t     14.08\n",
      " 10\t    0.2156\t    0.0028\t    0.0192\t    0.0272\t     16.39\n",
      " 11\t    0.2125\t    0.0029\t    0.0201\t    0.0293\t     18.81\n",
      " 12\t    0.2097\t    0.0030\t    0.0209\t    0.0314\t     21.33\n",
      " 13\t    0.2072\t    0.0031\t    0.0217\t    0.0335\t     23.94\n",
      " 14\t    0.2045\t    0.0032\t    0.0224\t    0.0355\t     26.63\n",
      " 15\t    0.2023\t    0.0034\t    0.0230\t    0.0376\t     29.39\n",
      " 16\t    0.2003\t    0.0036\t    0.0235\t    0.0396\t     32.22\n",
      " 17\t    0.1983\t    0.0037\t    0.0239\t    0.0415\t     35.10\n",
      " 18\t    0.1965\t    0.0039\t    0.0243\t    0.0435\t     38.03\n",
      " 19\t    0.1948\t    0.0041\t    0.0247\t    0.0455\t     40.99\n",
      " 20\t    0.1931\t    0.0044\t    0.0250\t    0.0474\t     44.00\n",
      " 21\t    0.1915\t    0.0046\t    0.0252\t    0.0493\t     47.03\n",
      " 22\t    0.1900\t    0.0048\t    0.0254\t    0.0512\t     50.09\n",
      " 23\t    0.1886\t    0.0050\t    0.0256\t    0.0531\t     53.17\n",
      " 24\t    0.1872\t    0.0053\t    0.0257\t    0.0550\t     56.27\n",
      " 25\t    0.1859\t    0.0055\t    0.0258\t    0.0568\t     59.37\n",
      " 26\t    0.1846\t    0.0057\t    0.0259\t    0.0587\t     62.49\n",
      " 27\t    0.1834\t    0.0060\t    0.0259\t    0.0605\t     65.61\n",
      " 28\t    0.1822\t    0.0062\t    0.0259\t    0.0623\t     68.73\n",
      " 29\t    0.1811\t    0.0065\t    0.0259\t    0.0641\t     71.84\n",
      " 30\t    0.1800\t    0.0067\t    0.0259\t    0.0659\t     74.96\n",
      " 31\t    0.1790\t    0.0069\t    0.0258\t    0.0677\t     78.07\n",
      " 32\t    0.1780\t    0.0072\t    0.0258\t    0.0695\t     81.16\n",
      " 33\t    0.1770\t    0.0074\t    0.0257\t    0.0713\t     84.25\n",
      " 34\t    0.1760\t    0.0077\t    0.0256\t    0.0730\t     87.33\n",
      " 35\t    0.1751\t    0.0079\t    0.0255\t    0.0748\t     90.39\n",
      " 36\t    0.1742\t    0.0082\t    0.0253\t    0.0765\t     93.44\n",
      " 37\t    0.1734\t    0.0084\t    0.0252\t    0.0783\t     96.47\n",
      " 38\t    0.1725\t    0.0087\t    0.0251\t    0.0800\t     99.48\n",
      " 39\t    0.1717\t    0.0089\t    0.0249\t    0.0817\t    102.47\n",
      " 40\t    0.1709\t    0.0091\t    0.0247\t    0.0834\t    105.45\n",
      " 41\t    0.1701\t    0.0094\t    0.0246\t    0.0851\t    108.40\n",
      " 42\t    0.1694\t    0.0096\t    0.0244\t    0.0868\t    111.33\n",
      " 43\t    0.1686\t    0.0099\t    0.0242\t    0.0885\t    114.25\n",
      " 44\t    0.1679\t    0.0101\t    0.0240\t    0.0902\t    117.13\n",
      " 45\t    0.1672\t    0.0103\t    0.0238\t    0.0918\t    120.00\n",
      " 46\t    0.1666\t    0.0106\t    0.0237\t    0.0935\t    122.84\n",
      " 47\t    0.1659\t    0.0108\t    0.0235\t    0.0952\t    125.67\n",
      " 48\t    0.1652\t    0.0110\t    0.0233\t    0.0968\t    128.46\n",
      " 49\t    0.1646\t    0.0113\t    0.0231\t    0.0985\t    131.24\n",
      " 50\t    0.1639\t    0.0115\t    0.0229\t    0.1001\t    133.99\n",
      " 51\t    0.1633\t    0.0117\t    0.0227\t    0.1017\t    136.72\n",
      " 52\t    0.1627\t    0.0119\t    0.0225\t    0.1034\t    139.43\n",
      " 53\t    0.1621\t    0.0121\t    0.0223\t    0.1050\t    142.11\n",
      " 54\t    0.1615\t    0.0124\t    0.0221\t    0.1066\t    144.76\n",
      " 55\t    0.1610\t    0.0126\t    0.0219\t    0.1082\t    147.40\n",
      " 56\t    0.1605\t    0.0128\t    0.0217\t    0.1098\t    150.01\n",
      " 57\t    0.1599\t    0.0130\t    0.0215\t    0.1114\t    152.59\n",
      " 58\t    0.1594\t    0.0132\t    0.0213\t    0.1130\t    155.15\n",
      " 59\t    0.1589\t    0.0134\t    0.0211\t    0.1146\t    157.69\n",
      " 60\t    0.1584\t    0.0136\t    0.0209\t    0.1162\t    160.21\n",
      " 61\t    0.1579\t    0.0138\t    0.0207\t    0.1178\t    162.70\n",
      " 62\t    0.1574\t    0.0140\t    0.0205\t    0.1193\t    165.17\n",
      " 63\t    0.1570\t    0.0142\t    0.0203\t    0.1209\t    167.61\n",
      " 64\t    0.1565\t    0.0144\t    0.0202\t    0.1225\t    170.04\n",
      " 65\t    0.1561\t    0.0146\t    0.0200\t    0.1240\t    172.44\n",
      " 66\t    0.1556\t    0.0148\t    0.0198\t    0.1256\t    174.82\n",
      " 67\t    0.1552\t    0.0150\t    0.0196\t    0.1271\t    177.17\n",
      " 68\t    0.1547\t    0.0152\t    0.0194\t    0.1287\t    179.51\n",
      " 69\t    0.1543\t    0.0154\t    0.0192\t    0.1302\t    181.82\n",
      " 70\t    0.1539\t    0.0156\t    0.0191\t    0.1318\t    184.12\n",
      " 71\t    0.1535\t    0.0158\t    0.0189\t    0.1333\t    186.39\n",
      " 72\t    0.1531\t    0.0160\t    0.0187\t    0.1348\t    188.64\n",
      " 73\t    0.1527\t    0.0162\t    0.0186\t    0.1364\t    190.87\n",
      " 74\t    0.1523\t    0.0163\t    0.0184\t    0.1379\t    193.08\n",
      " 75\t    0.1519\t    0.0165\t    0.0182\t    0.1394\t    195.27\n",
      " 76\t    0.1515\t    0.0167\t    0.0181\t    0.1409\t    197.45\n",
      " 77\t    0.1511\t    0.0169\t    0.0179\t    0.1424\t    199.60\n",
      " 78\t    0.1508\t    0.0171\t    0.0177\t    0.1439\t    201.73\n",
      " 79\t    0.1504\t    0.0172\t    0.0176\t    0.1454\t    203.84\n",
      " 80\t    0.1500\t    0.0174\t    0.0174\t    0.1469\t    205.94\n",
      " 81\t    0.1497\t    0.0176\t    0.0173\t    0.1484\t    208.02\n",
      " 82\t    0.1493\t    0.0177\t    0.0171\t    0.1499\t    210.08\n",
      " 83\t    0.1490\t    0.0179\t    0.0170\t    0.1514\t    212.12\n",
      " 84\t    0.1486\t    0.0181\t    0.0168\t    0.1529\t    214.14\n",
      " 85\t    0.1483\t    0.0183\t    0.0167\t    0.1544\t    216.15\n",
      " 86\t    0.1480\t    0.0184\t    0.0165\t    0.1559\t    218.13\n",
      " 87\t    0.1476\t    0.0186\t    0.0164\t    0.1573\t    220.11\n",
      " 88\t    0.1473\t    0.0187\t    0.0163\t    0.1588\t    222.06\n",
      " 89\t    0.1470\t    0.0189\t    0.0161\t    0.1603\t    224.00\n",
      " 90\t    0.1467\t    0.0191\t    0.0160\t    0.1617\t    225.92\n",
      " 91\t    0.1464\t    0.0192\t    0.0158\t    0.1632\t    227.83\n",
      " 92\t    0.1461\t    0.0194\t    0.0157\t    0.1647\t    229.72\n",
      " 93\t    0.1457\t    0.0195\t    0.0156\t    0.1661\t    231.59\n",
      " 94\t    0.1454\t    0.0197\t    0.0155\t    0.1676\t    233.45\n",
      " 95\t    0.1451\t    0.0198\t    0.0153\t    0.1690\t    235.30\n",
      " 96\t    0.1449\t    0.0200\t    0.0152\t    0.1705\t    237.12\n",
      " 97\t    0.1446\t    0.0201\t    0.0151\t    0.1719\t    238.94\n",
      " 98\t    0.1443\t    0.0203\t    0.0150\t    0.1734\t    240.74\n",
      " 99\t    0.1440\t    0.0204\t    0.0148\t    0.1748\t    242.52\n",
      "100\t    0.1437\t    0.0206\t    0.0147\t    0.1762\t    244.29\n",
      "101\t    0.1434\t    0.0207\t    0.0146\t    0.1777\t    246.05\n",
      "102\t    0.1432\t    0.0209\t    0.0145\t    0.1791\t    247.79\n",
      "103\t    0.1429\t    0.0210\t    0.0144\t    0.1805\t    249.52\n",
      "104\t    0.1426\t    0.0212\t    0.0143\t    0.1820\t    251.24\n",
      "105\t    0.1424\t    0.0213\t    0.0141\t    0.1834\t    252.94\n",
      "106\t    0.1421\t    0.0214\t    0.0140\t    0.1848\t    254.63\n",
      "107\t    0.1418\t    0.0216\t    0.0139\t    0.1862\t    256.31\n",
      "108\t    0.1416\t    0.0217\t    0.0138\t    0.1876\t    257.97\n",
      "109\t    0.1413\t    0.0218\t    0.0137\t    0.1891\t    259.62\n",
      "110\t    0.1411\t    0.0220\t    0.0136\t    0.1905\t    261.26\n",
      "111\t    0.1408\t    0.0221\t    0.0135\t    0.1919\t    262.89\n",
      "112\t    0.1406\t    0.0223\t    0.0134\t    0.1933\t    264.50\n",
      "113\t    0.1403\t    0.0224\t    0.0133\t    0.1947\t    266.11\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "114\t    0.1401\t    0.0225\t    0.0132\t    0.1961\t    267.70\n",
      "115\t    0.1398\t    0.0226\t    0.0131\t    0.1975\t    269.28\n",
      "116\t    0.1396\t    0.0228\t    0.0130\t    0.1989\t    270.84\n",
      "117\t    0.1394\t    0.0229\t    0.0129\t    0.2003\t    272.40\n",
      "118\t    0.1391\t    0.0230\t    0.0128\t    0.2017\t    273.94\n",
      "119\t    0.1389\t    0.0232\t    0.0127\t    0.2031\t    275.48\n",
      "120\t    0.1387\t    0.0233\t    0.0127\t    0.2044\t    277.00\n",
      "121\t    0.1384\t    0.0234\t    0.0126\t    0.2058\t    278.51\n",
      "122\t    0.1382\t    0.0235\t    0.0125\t    0.2072\t    280.02\n",
      "123\t    0.1380\t    0.0237\t    0.0124\t    0.2086\t    281.51\n",
      "124\t    0.1378\t    0.0238\t    0.0123\t    0.2100\t    282.99\n",
      "125\t    0.1376\t    0.0239\t    0.0122\t    0.2113\t    284.46\n",
      "126\t    0.1373\t    0.0240\t    0.0121\t    0.2127\t    285.92\n",
      "127\t    0.1371\t    0.0241\t    0.0121\t    0.2141\t    287.37\n",
      "128\t    0.1369\t    0.0243\t    0.0120\t    0.2154\t    288.81\n",
      "129\t    0.1367\t    0.0244\t    0.0119\t    0.2168\t    290.24\n",
      "130\t    0.1365\t    0.0245\t    0.0118\t    0.2182\t    291.66\n",
      "131\t    0.1363\t    0.0246\t    0.0117\t    0.2195\t    293.08\n",
      "132\t    0.1361\t    0.0247\t    0.0117\t    0.2209\t    294.48\n",
      "133\t    0.1359\t    0.0249\t    0.0116\t    0.2223\t    295.87\n",
      "134\t    0.1357\t    0.0250\t    0.0115\t    0.2236\t    297.26\n",
      "135\t    0.1355\t    0.0251\t    0.0114\t    0.2250\t    298.63\n",
      "136\t    0.1353\t    0.0252\t    0.0113\t    0.2263\t    300.00\n",
      "137\t    0.1351\t    0.0253\t    0.0113\t    0.2277\t    301.36\n",
      "138\t    0.1349\t    0.0254\t    0.0112\t    0.2290\t    302.70\n",
      "139\t    0.1347\t    0.0255\t    0.0111\t    0.2304\t    304.05\n",
      "140\t    0.1345\t    0.0256\t    0.0111\t    0.2317\t    305.38\n",
      "141\t    0.1343\t    0.0257\t    0.0110\t    0.2331\t    306.70\n",
      "142\t    0.1341\t    0.0259\t    0.0109\t    0.2344\t    308.01\n",
      "143\t    0.1339\t    0.0260\t    0.0109\t    0.2357\t    309.32\n",
      "144\t    0.1337\t    0.0261\t    0.0108\t    0.2371\t    310.62\n",
      "145\t    0.1336\t    0.0262\t    0.0107\t    0.2384\t    311.91\n",
      "146\t    0.1334\t    0.0263\t    0.0107\t    0.2397\t    313.19\n",
      "147\t    0.1332\t    0.0264\t    0.0106\t    0.2411\t    314.47\n",
      "148\t    0.1330\t    0.0265\t    0.0105\t    0.2424\t    315.74\n",
      "149\t    0.1328\t    0.0266\t    0.0105\t    0.2437\t    316.99\n",
      "150\t    0.1326\t    0.0267\t    0.0104\t    0.2451\t    318.25\n",
      "151\t    0.1325\t    0.0268\t    0.0103\t    0.2464\t    319.49\n",
      "152\t    0.1323\t    0.0269\t    0.0103\t    0.2477\t    320.73\n",
      "153\t    0.1321\t    0.0270\t    0.0102\t    0.2490\t    321.96\n",
      "154\t    0.1319\t    0.0271\t    0.0102\t    0.2503\t    323.18\n",
      "155\t    0.1318\t    0.0272\t    0.0101\t    0.2517\t    324.39\n",
      "156\t    0.1316\t    0.0273\t    0.0100\t    0.2530\t    325.60\n",
      "157\t    0.1314\t    0.0274\t    0.0100\t    0.2543\t    326.80\n",
      "158\t    0.1313\t    0.0275\t    0.0099\t    0.2556\t    328.00\n",
      "159\t    0.1311\t    0.0276\t    0.0099\t    0.2569\t    329.18\n",
      "160\t    0.1309\t    0.0277\t    0.0098\t    0.2582\t    330.37\n",
      "161\t    0.1308\t    0.0278\t    0.0097\t    0.2595\t    331.54\n",
      "162\t    0.1306\t    0.0279\t    0.0097\t    0.2608\t    332.71\n",
      "163\t    0.1304\t    0.0280\t    0.0096\t    0.2621\t    333.87\n",
      "164\t    0.1303\t    0.0281\t    0.0096\t    0.2634\t    335.02\n",
      "165\t    0.1301\t    0.0282\t    0.0095\t    0.2647\t    336.17\n",
      "166\t    0.1300\t    0.0283\t    0.0095\t    0.2660\t    337.31\n",
      "167\t    0.1298\t    0.0284\t    0.0094\t    0.2673\t    338.44\n",
      "168\t    0.1296\t    0.0285\t    0.0094\t    0.2686\t    339.57\n",
      "169\t    0.1295\t    0.0286\t    0.0093\t    0.2699\t    340.70\n",
      "170\t    0.1293\t    0.0287\t    0.0093\t    0.2712\t    341.81\n",
      "171\t    0.1292\t    0.0288\t    0.0092\t    0.2725\t    342.92\n",
      "172\t    0.1290\t    0.0288\t    0.0092\t    0.2738\t    344.03\n",
      "173\t    0.1289\t    0.0289\t    0.0091\t    0.2751\t    345.13\n",
      "174\t    0.1287\t    0.0290\t    0.0091\t    0.2764\t    346.22\n",
      "175\t    0.1286\t    0.0291\t    0.0090\t    0.2777\t    347.31\n",
      "176\t    0.1284\t    0.0292\t    0.0090\t    0.2790\t    348.39\n",
      "177\t    0.1283\t    0.0293\t    0.0089\t    0.2802\t    349.46\n",
      "178\t    0.1280\t    0.0294\t    0.0089\t    0.2815\t    350.53\n",
      "179\t    0.1279\t    0.0295\t    0.0088\t    0.2828\t    351.60\n",
      "180\t    0.1278\t    0.0296\t    0.0088\t    0.2841\t    352.66\n",
      "181\t    0.1276\t    0.0296\t    0.0087\t    0.2854\t    353.71\n",
      "182\t    0.1275\t    0.0297\t    0.0087\t    0.2866\t    354.76\n",
      "183\t    0.1273\t    0.0298\t    0.0087\t    0.2879\t    355.80\n",
      "184\t    0.1272\t    0.0299\t    0.0086\t    0.2892\t    356.84\n",
      "185\t    0.1270\t    0.0300\t    0.0086\t    0.2904\t    357.87\n",
      "186\t    0.1269\t    0.0301\t    0.0085\t    0.2917\t    358.90\n",
      "187\t    0.1268\t    0.0302\t    0.0085\t    0.2930\t    359.92\n",
      "188\t    0.1266\t    0.0302\t    0.0084\t    0.2942\t    360.94\n",
      "189\t    0.1265\t    0.0303\t    0.0084\t    0.2955\t    361.95\n",
      "190\t    0.1264\t    0.0304\t    0.0084\t    0.2968\t    362.96\n",
      "191\t    0.1262\t    0.0305\t    0.0083\t    0.2980\t    363.96\n",
      "192\t    0.1261\t    0.0306\t    0.0083\t    0.2993\t    364.96\n",
      "193\t    0.1260\t    0.0307\t    0.0082\t    0.3006\t    365.95\n",
      "194\t    0.1258\t    0.0307\t    0.0082\t    0.3018\t    366.94\n",
      "195\t    0.1257\t    0.0308\t    0.0082\t    0.3031\t    367.92\n",
      "196\t    0.1256\t    0.0309\t    0.0081\t    0.3043\t    368.90\n",
      "197\t    0.1254\t    0.0310\t    0.0081\t    0.3056\t    369.87\n",
      "198\t    0.1253\t    0.0311\t    0.0080\t    0.3068\t    370.84\n",
      "199\t    0.1252\t    0.0311\t    0.0080\t    0.3081\t    371.80\n",
      "200\t    0.1250\t    0.0312\t    0.0080\t    0.3093\t    372.76\n",
      "201\t    0.1249\t    0.0313\t    0.0079\t    0.3106\t    373.72\n",
      "202\t    0.1248\t    0.0314\t    0.0079\t    0.3118\t    374.67\n",
      "203\t    0.1247\t    0.0315\t    0.0078\t    0.3131\t    375.61\n",
      "204\t    0.1245\t    0.0315\t    0.0078\t    0.3143\t    376.56\n",
      "205\t    0.1244\t    0.0316\t    0.0078\t    0.3156\t    377.49\n",
      "206\t    0.1243\t    0.0317\t    0.0077\t    0.3168\t    378.42\n",
      "207\t    0.1242\t    0.0318\t    0.0077\t    0.3180\t    379.35\n",
      "208\t    0.1240\t    0.0318\t    0.0077\t    0.3193\t    380.28\n",
      "209\t    0.1239\t    0.0319\t    0.0076\t    0.3205\t    381.20\n",
      "210\t    0.1238\t    0.0320\t    0.0076\t    0.3218\t    382.11\n",
      "211\t    0.1237\t    0.0321\t    0.0076\t    0.3230\t    383.02\n",
      "212\t    0.1235\t    0.0321\t    0.0075\t    0.3242\t    383.93\n",
      "213\t    0.1234\t    0.0322\t    0.0075\t    0.3255\t    384.84\n",
      "214\t    0.1233\t    0.0323\t    0.0075\t    0.3267\t    385.74\n",
      "215\t    0.1232\t    0.0324\t    0.0074\t    0.3279\t    386.63\n",
      "216\t    0.1231\t    0.0324\t    0.0074\t    0.3292\t    387.52\n",
      "217\t    0.1229\t    0.0325\t    0.0074\t    0.3304\t    388.41\n",
      "218\t    0.1228\t    0.0326\t    0.0073\t    0.3316\t    389.29\n",
      "219\t    0.1227\t    0.0327\t    0.0073\t    0.3328\t    390.17\n",
      "220\t    0.1226\t    0.0327\t    0.0073\t    0.3341\t    391.05\n",
      "221\t    0.1225\t    0.0328\t    0.0072\t    0.3353\t    391.92\n",
      "222\t    0.1224\t    0.0329\t    0.0072\t    0.3365\t    392.79\n",
      "223\t    0.1223\t    0.0330\t    0.0072\t    0.3377\t    393.65\n",
      "224\t    0.1221\t    0.0330\t    0.0071\t    0.3390\t    394.52\n",
      "225\t    0.1220\t    0.0331\t    0.0071\t    0.3402\t    395.37\n",
      "226\t    0.1219\t    0.0332\t    0.0071\t    0.3414\t    396.23\n",
      "227\t    0.1218\t    0.0332\t    0.0071\t    0.3426\t    397.08\n",
      "228\t    0.1217\t    0.0333\t    0.0070\t    0.3438\t    397.92\n",
      "229\t    0.1216\t    0.0334\t    0.0070\t    0.3451\t    398.77\n",
      "230\t    0.1215\t    0.0334\t    0.0070\t    0.3463\t    399.61\n",
      "231\t    0.1214\t    0.0335\t    0.0069\t    0.3475\t    400.44\n",
      "232\t    0.1212\t    0.0336\t    0.0069\t    0.3487\t    401.27\n",
      "233\t    0.1211\t    0.0337\t    0.0069\t    0.3499\t    402.10\n",
      "234\t    0.1210\t    0.0337\t    0.0068\t    0.3511\t    402.93\n",
      "235\t    0.1209\t    0.0338\t    0.0068\t    0.3523\t    403.75\n",
      "236\t    0.1208\t    0.0339\t    0.0068\t    0.3535\t    404.57\n",
      "237\t    0.1207\t    0.0339\t    0.0068\t    0.3547\t    405.39\n",
      "238\t    0.1206\t    0.0340\t    0.0067\t    0.3559\t    406.20\n",
      "239\t    0.1205\t    0.0341\t    0.0067\t    0.3571\t    407.01\n",
      "240\t    0.1204\t    0.0341\t    0.0067\t    0.3583\t    407.81\n",
      "241\t    0.1203\t    0.0342\t    0.0067\t    0.3596\t    408.62\n",
      "242\t    0.1202\t    0.0343\t    0.0066\t    0.3608\t    409.42\n",
      "243\t    0.1201\t    0.0343\t    0.0066\t    0.3620\t    410.21\n",
      "244\t    0.1200\t    0.0344\t    0.0066\t    0.3632\t    411.00\n",
      "245\t    0.1199\t    0.0345\t    0.0066\t    0.3644\t    411.79\n",
      "246\t    0.1198\t    0.0345\t    0.0065\t    0.3655\t    412.58\n",
      "247\t    0.1197\t    0.0346\t    0.0065\t    0.3667\t    413.37\n",
      "248\t    0.1196\t    0.0347\t    0.0065\t    0.3679\t    414.15\n",
      "249\t    0.1195\t    0.0347\t    0.0064\t    0.3691\t    414.92\n",
      "250\t    0.1194\t    0.0348\t    0.0064\t    0.3703\t    415.70\n",
      "251\t    0.1193\t    0.0348\t    0.0064\t    0.3715\t    416.47\n",
      "252\t    0.1192\t    0.0349\t    0.0064\t    0.3727\t    417.24\n",
      "253\t    0.1191\t    0.0350\t    0.0064\t    0.3739\t    418.00\n",
      "254\t    0.1190\t    0.0350\t    0.0063\t    0.3751\t    418.77\n",
      "255\t    0.1189\t    0.0351\t    0.0063\t    0.3763\t    419.53\n",
      "256\t    0.1188\t    0.0352\t    0.0063\t    0.3775\t    420.28\n",
      "257\t    0.1187\t    0.0352\t    0.0063\t    0.3787\t    421.04\n",
      "258\t    0.1186\t    0.0353\t    0.0062\t    0.3798\t    421.79\n",
      "259\t    0.1185\t    0.0353\t    0.0062\t    0.3810\t    422.54\n",
      "260\t    0.1184\t    0.0354\t    0.0062\t    0.3822\t    423.28\n",
      "261\t    0.1183\t    0.0355\t    0.0062\t    0.3834\t    424.03\n",
      "262\t    0.1182\t    0.0355\t    0.0061\t    0.3846\t    424.77\n",
      "263\t    0.1181\t    0.0356\t    0.0061\t    0.3858\t    425.51\n",
      "264\t    0.1180\t    0.0357\t    0.0061\t    0.3869\t    426.24\n",
      "265\t    0.1179\t    0.0357\t    0.0061\t    0.3881\t    426.97\n",
      "266\t    0.1178\t    0.0358\t    0.0060\t    0.3893\t    427.70\n",
      "267\t    0.1177\t    0.0358\t    0.0060\t    0.3905\t    428.43\n",
      "268\t    0.1176\t    0.0359\t    0.0060\t    0.3916\t    429.15\n",
      "269\t    0.1175\t    0.0360\t    0.0060\t    0.3928\t    429.88\n",
      "270\t    0.1174\t    0.0360\t    0.0060\t    0.3940\t    430.59\n",
      "271\t    0.1173\t    0.0361\t    0.0059\t    0.3952\t    431.31\n",
      "272\t    0.1172\t    0.0361\t    0.0059\t    0.3963\t    432.02\n",
      "273\t    0.1171\t    0.0362\t    0.0059\t    0.3975\t    432.74\n",
      "274\t    0.1171\t    0.0363\t    0.0059\t    0.3987\t    433.44\n",
      "275\t    0.1170\t    0.0363\t    0.0059\t    0.3998\t    434.15\n",
      "276\t    0.1169\t    0.0364\t    0.0058\t    0.4010\t    434.85\n",
      "277\t    0.1168\t    0.0364\t    0.0058\t    0.4022\t    435.56\n",
      "278\t    0.1167\t    0.0365\t    0.0058\t    0.4033\t    436.26\n",
      "279\t    0.1166\t    0.0365\t    0.0058\t    0.4045\t    436.95\n",
      "280\t    0.1165\t    0.0366\t    0.0058\t    0.4057\t    437.65\n",
      "281\t    0.1164\t    0.0367\t    0.0057\t    0.4068\t    438.34\n",
      "282\t    0.1163\t    0.0367\t    0.0057\t    0.4080\t    439.03\n",
      "283\t    0.1162\t    0.0368\t    0.0057\t    0.4092\t    439.71\n",
      "284\t    0.1162\t    0.0368\t    0.0057\t    0.4103\t    440.40\n",
      "285\t    0.1161\t    0.0369\t    0.0057\t    0.4115\t    441.08\n",
      "286\t    0.1160\t    0.0369\t    0.0056\t    0.4126\t    441.76\n",
      "287\t    0.1159\t    0.0370\t    0.0056\t    0.4138\t    442.44\n",
      "288\t    0.1158\t    0.0371\t    0.0056\t    0.4150\t    443.11\n",
      "289\t    0.1157\t    0.0371\t    0.0056\t    0.4161\t    443.79\n",
      "290\t    0.1156\t    0.0372\t    0.0056\t    0.4173\t    444.46\n",
      "291\t    0.1155\t    0.0372\t    0.0055\t    0.4184\t    445.12\n",
      "292\t    0.1155\t    0.0373\t    0.0055\t    0.4196\t    445.79\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "293\t    0.1154\t    0.0373\t    0.0055\t    0.4207\t    446.46\n",
      "294\t    0.1153\t    0.0374\t    0.0055\t    0.4219\t    447.12\n",
      "295\t    0.1152\t    0.0374\t    0.0055\t    0.4230\t    447.78\n",
      "296\t    0.1151\t    0.0375\t    0.0054\t    0.4242\t    448.43\n",
      "297\t    0.1150\t    0.0375\t    0.0054\t    0.4253\t    449.09\n",
      "298\t    0.1150\t    0.0376\t    0.0054\t    0.4265\t    449.74\n",
      "299\t    0.1149\t    0.0377\t    0.0054\t    0.4276\t    450.39\n",
      "300\t    0.1148\t    0.0377\t    0.0054\t    0.4288\t    451.04\n",
      "301\t    0.1147\t    0.0378\t    0.0054\t    0.4299\t    451.69\n",
      "302\t    0.1146\t    0.0378\t    0.0053\t    0.4311\t    452.33\n",
      "303\t    0.1145\t    0.0379\t    0.0053\t    0.4322\t    452.98\n",
      "304\t    0.1145\t    0.0379\t    0.0053\t    0.4334\t    453.62\n",
      "305\t    0.1144\t    0.0380\t    0.0053\t    0.4345\t    454.26\n",
      "306\t    0.1143\t    0.0380\t    0.0053\t    0.4357\t    454.89\n",
      "307\t    0.1142\t    0.0381\t    0.0053\t    0.4368\t    455.53\n",
      "308\t    0.1141\t    0.0381\t    0.0052\t    0.4379\t    456.16\n",
      "309\t    0.1141\t    0.0382\t    0.0052\t    0.4391\t    456.79\n",
      "310\t    0.1140\t    0.0382\t    0.0052\t    0.4402\t    457.42\n",
      "311\t    0.1139\t    0.0383\t    0.0052\t    0.4414\t    458.04\n",
      "312\t    0.1138\t    0.0383\t    0.0052\t    0.4425\t    458.67\n",
      "313\t    0.1137\t    0.0384\t    0.0052\t    0.4436\t    459.29\n",
      "314\t    0.1137\t    0.0384\t    0.0051\t    0.4448\t    459.91\n",
      "315\t    0.1136\t    0.0385\t    0.0051\t    0.4459\t    460.53\n",
      "316\t    0.1135\t    0.0385\t    0.0051\t    0.4470\t    461.15\n",
      "317\t    0.1134\t    0.0386\t    0.0051\t    0.4482\t    461.76\n",
      "318\t    0.1133\t    0.0386\t    0.0051\t    0.4493\t    462.37\n",
      "319\t    0.1133\t    0.0387\t    0.0051\t    0.4504\t    462.99\n",
      "320\t    0.1132\t    0.0387\t    0.0050\t    0.4516\t    463.60\n",
      "321\t    0.1131\t    0.0388\t    0.0050\t    0.4527\t    464.20\n",
      "322\t    0.1130\t    0.0388\t    0.0050\t    0.4538\t    464.81\n",
      "323\t    0.1130\t    0.0389\t    0.0050\t    0.4550\t    465.41\n",
      "324\t    0.1129\t    0.0389\t    0.0050\t    0.4561\t    466.01\n",
      "325\t    0.1128\t    0.0390\t    0.0050\t    0.4572\t    466.61\n",
      "326\t    0.1127\t    0.0390\t    0.0050\t    0.4583\t    467.21\n",
      "327\t    0.1127\t    0.0391\t    0.0049\t    0.4595\t    467.81\n",
      "328\t    0.1126\t    0.0391\t    0.0049\t    0.4606\t    468.40\n",
      "329\t    0.1125\t    0.0392\t    0.0049\t    0.4617\t    469.00\n",
      "330\t    0.1124\t    0.0392\t    0.0049\t    0.4628\t    469.59\n",
      "331\t    0.1124\t    0.0393\t    0.0049\t    0.4640\t    470.18\n",
      "332\t    0.1123\t    0.0393\t    0.0049\t    0.4651\t    470.76\n",
      "333\t    0.1122\t    0.0394\t    0.0049\t    0.4662\t    471.35\n",
      "334\t    0.1121\t    0.0394\t    0.0048\t    0.4673\t    471.93\n",
      "335\t    0.1121\t    0.0395\t    0.0048\t    0.4685\t    472.52\n",
      "336\t    0.1120\t    0.0395\t    0.0048\t    0.4696\t    473.10\n",
      "337\t    0.1119\t    0.0396\t    0.0048\t    0.4707\t    473.68\n",
      "338\t    0.1118\t    0.0396\t    0.0048\t    0.4718\t    474.25\n",
      "339\t    0.1118\t    0.0397\t    0.0048\t    0.4729\t    474.83\n",
      "340\t    0.1117\t    0.0397\t    0.0048\t    0.4740\t    475.40\n",
      "341\t    0.1116\t    0.0398\t    0.0047\t    0.4752\t    475.97\n",
      "342\t    0.1116\t    0.0398\t    0.0047\t    0.4763\t    476.55\n",
      "343\t    0.1115\t    0.0399\t    0.0047\t    0.4774\t    477.11\n",
      "344\t    0.1114\t    0.0399\t    0.0047\t    0.4785\t    477.68\n",
      "345\t    0.1113\t    0.0400\t    0.0047\t    0.4796\t    478.25\n",
      "346\t    0.1113\t    0.0400\t    0.0047\t    0.4807\t    478.81\n",
      "347\t    0.1112\t    0.0401\t    0.0047\t    0.4818\t    479.37\n",
      "348\t    0.1111\t    0.0401\t    0.0046\t    0.4830\t    479.94\n",
      "349\t    0.1111\t    0.0401\t    0.0046\t    0.4841\t    480.50\n",
      "350\t    0.1110\t    0.0402\t    0.0046\t    0.4852\t    481.05\n",
      "351\t    0.1109\t    0.0402\t    0.0046\t    0.4863\t    481.61\n",
      "352\t    0.1108\t    0.0403\t    0.0046\t    0.4874\t    482.16\n",
      "353\t    0.1108\t    0.0403\t    0.0046\t    0.4885\t    482.72\n",
      "354\t    0.1107\t    0.0404\t    0.0046\t    0.4896\t    483.27\n",
      "355\t    0.1106\t    0.0404\t    0.0046\t    0.4907\t    483.82\n",
      "356\t    0.1106\t    0.0405\t    0.0045\t    0.4918\t    484.37\n",
      "357\t    0.1105\t    0.0405\t    0.0045\t    0.4929\t    484.92\n",
      "358\t    0.1104\t    0.0406\t    0.0045\t    0.4940\t    485.46\n",
      "359\t    0.1104\t    0.0406\t    0.0045\t    0.4951\t    486.00\n",
      "360\t    0.1103\t    0.0406\t    0.0045\t    0.4962\t    486.55\n",
      "361\t    0.1102\t    0.0407\t    0.0045\t    0.4973\t    487.09\n",
      "362\t    0.1102\t    0.0407\t    0.0045\t    0.4984\t    487.63\n",
      "363\t    0.1101\t    0.0408\t    0.0045\t    0.4995\t    488.17\n",
      "364\t    0.1100\t    0.0408\t    0.0044\t    0.5006\t    488.70\n",
      "365\t    0.1100\t    0.0409\t    0.0044\t    0.5017\t    489.24\n",
      "366\t    0.1099\t    0.0409\t    0.0044\t    0.5028\t    489.77\n",
      "367\t    0.1098\t    0.0410\t    0.0044\t    0.5039\t    490.30\n",
      "368\t    0.1098\t    0.0410\t    0.0044\t    0.5050\t    490.84\n",
      "369\t    0.1097\t    0.0410\t    0.0044\t    0.5061\t    491.37\n",
      "370\t    0.1096\t    0.0411\t    0.0044\t    0.5072\t    491.89\n",
      "371\t    0.1096\t    0.0411\t    0.0044\t    0.5083\t    492.42\n",
      "372\t    0.1095\t    0.0412\t    0.0044\t    0.5094\t    492.95\n",
      "373\t    0.1094\t    0.0412\t    0.0043\t    0.5105\t    493.47\n",
      "374\t    0.1094\t    0.0413\t    0.0043\t    0.5116\t    493.99\n",
      "375\t    0.1093\t    0.0413\t    0.0043\t    0.5127\t    494.51\n",
      "376\t    0.1092\t    0.0414\t    0.0043\t    0.5138\t    495.03\n",
      "377\t    0.1092\t    0.0414\t    0.0043\t    0.5149\t    495.55\n",
      "378\t    0.1091\t    0.0414\t    0.0043\t    0.5160\t    496.07\n",
      "379\t    0.1090\t    0.0415\t    0.0043\t    0.5171\t    496.59\n",
      "380\t    0.1090\t    0.0415\t    0.0043\t    0.5181\t    497.10\n",
      "381\t    0.1089\t    0.0416\t    0.0042\t    0.5192\t    497.61\n",
      "382\t    0.1089\t    0.0416\t    0.0042\t    0.5203\t    498.12\n",
      "383\t    0.1088\t    0.0416\t    0.0042\t    0.5214\t    498.64\n",
      "384\t    0.1087\t    0.0417\t    0.0042\t    0.5225\t    499.14\n",
      "385\t    0.1087\t    0.0417\t    0.0042\t    0.5236\t    499.65\n",
      "386\t    0.1086\t    0.0418\t    0.0042\t    0.5247\t    500.16\n",
      "387\t    0.1085\t    0.0418\t    0.0042\t    0.5258\t    500.66\n",
      "388\t    0.1085\t    0.0419\t    0.0042\t    0.5268\t    501.17\n",
      "389\t    0.1084\t    0.0419\t    0.0042\t    0.5279\t    501.67\n",
      "390\t    0.1084\t    0.0419\t    0.0042\t    0.5290\t    502.17\n",
      "391\t    0.1083\t    0.0420\t    0.0041\t    0.5301\t    502.67\n",
      "392\t    0.1082\t    0.0420\t    0.0041\t    0.5312\t    503.17\n",
      "393\t    0.1082\t    0.0421\t    0.0041\t    0.5322\t    503.67\n",
      "394\t    0.1081\t    0.0421\t    0.0041\t    0.5333\t    504.17\n",
      "395\t    0.1080\t    0.0421\t    0.0041\t    0.5344\t    504.66\n",
      "396\t    0.1080\t    0.0422\t    0.0041\t    0.5355\t    505.15\n",
      "397\t    0.1079\t    0.0422\t    0.0041\t    0.5366\t    505.65\n",
      "398\t    0.1079\t    0.0423\t    0.0041\t    0.5376\t    506.14\n",
      "399\t    0.1078\t    0.0423\t    0.0041\t    0.5387\t    506.63\n",
      "400\t    0.1077\t    0.0424\t    0.0040\t    0.5398\t    507.12\n",
      "401\t    0.1077\t    0.0424\t    0.0040\t    0.5409\t    507.61\n",
      "402\t    0.1076\t    0.0424\t    0.0040\t    0.5420\t    508.09\n",
      "403\t    0.1076\t    0.0425\t    0.0040\t    0.5430\t    508.58\n",
      "404\t    0.1075\t    0.0425\t    0.0040\t    0.5441\t    509.06\n",
      "405\t    0.1074\t    0.0426\t    0.0040\t    0.5452\t    509.55\n",
      "406\t    0.1074\t    0.0426\t    0.0040\t    0.5462\t    510.03\n",
      "407\t    0.1073\t    0.0426\t    0.0040\t    0.5473\t    510.51\n",
      "408\t    0.1073\t    0.0427\t    0.0040\t    0.5484\t    510.99\n",
      "409\t    0.1072\t    0.0427\t    0.0040\t    0.5495\t    511.47\n",
      "410\t    0.1071\t    0.0427\t    0.0040\t    0.5505\t    511.94\n",
      "411\t    0.1071\t    0.0428\t    0.0039\t    0.5516\t    512.42\n",
      "412\t    0.1070\t    0.0428\t    0.0039\t    0.5527\t    512.90\n",
      "413\t    0.1070\t    0.0429\t    0.0039\t    0.5537\t    513.37\n",
      "414\t    0.1069\t    0.0429\t    0.0039\t    0.5548\t    513.84\n",
      "415\t    0.1068\t    0.0429\t    0.0039\t    0.5559\t    514.31\n",
      "416\t    0.1068\t    0.0430\t    0.0039\t    0.5570\t    514.78\n",
      "417\t    0.1067\t    0.0430\t    0.0039\t    0.5580\t    515.25\n",
      "418\t    0.1067\t    0.0431\t    0.0039\t    0.5591\t    515.72\n",
      "419\t    0.1066\t    0.0431\t    0.0039\t    0.5601\t    516.19\n",
      "420\t    0.1066\t    0.0431\t    0.0039\t    0.5612\t    516.65\n",
      "421\t    0.1065\t    0.0432\t    0.0038\t    0.5623\t    517.12\n",
      "422\t    0.1064\t    0.0432\t    0.0038\t    0.5633\t    517.58\n",
      "423\t    0.1064\t    0.0433\t    0.0038\t    0.5644\t    518.05\n",
      "424\t    0.1063\t    0.0433\t    0.0038\t    0.5655\t    518.51\n",
      "425\t    0.1063\t    0.0433\t    0.0038\t    0.5665\t    518.97\n",
      "426\t    0.1062\t    0.0434\t    0.0038\t    0.5676\t    519.43\n",
      "427\t    0.1062\t    0.0434\t    0.0038\t    0.5687\t    519.89\n",
      "428\t    0.1061\t    0.0434\t    0.0038\t    0.5697\t    520.34\n",
      "429\t    0.1060\t    0.0435\t    0.0038\t    0.5708\t    520.80\n",
      "430\t    0.1060\t    0.0435\t    0.0038\t    0.5718\t    521.26\n",
      "431\t    0.1059\t    0.0436\t    0.0038\t    0.5729\t    521.71\n",
      "432\t    0.1059\t    0.0436\t    0.0038\t    0.5740\t    522.16\n",
      "433\t    0.1058\t    0.0436\t    0.0037\t    0.5750\t    522.62\n",
      "434\t    0.1058\t    0.0437\t    0.0037\t    0.5761\t    523.07\n",
      "435\t    0.1057\t    0.0437\t    0.0037\t    0.5771\t    523.52\n",
      "436\t    0.1057\t    0.0437\t    0.0037\t    0.5782\t    523.97\n",
      "437\t    0.1056\t    0.0438\t    0.0037\t    0.5792\t    524.41\n",
      "438\t    0.1055\t    0.0438\t    0.0037\t    0.5803\t    524.86\n",
      "439\t    0.1055\t    0.0439\t    0.0037\t    0.5813\t    525.31\n",
      "440\t    0.1054\t    0.0439\t    0.0037\t    0.5824\t    525.75\n",
      "441\t    0.1054\t    0.0439\t    0.0037\t    0.5835\t    526.20\n",
      "442\t    0.1053\t    0.0440\t    0.0037\t    0.5845\t    526.64\n",
      "443\t    0.1053\t    0.0440\t    0.0037\t    0.5856\t    527.08\n",
      "444\t    0.1052\t    0.0440\t    0.0036\t    0.5866\t    527.52\n",
      "445\t    0.1052\t    0.0441\t    0.0036\t    0.5877\t    527.96\n",
      "446\t    0.1051\t    0.0441\t    0.0036\t    0.5887\t    528.40\n",
      "447\t    0.1051\t    0.0441\t    0.0036\t    0.5898\t    528.84\n",
      "448\t    0.1050\t    0.0442\t    0.0036\t    0.5908\t    529.28\n",
      "449\t    0.1050\t    0.0442\t    0.0036\t    0.5919\t    529.71\n",
      "450\t    0.1049\t    0.0443\t    0.0036\t    0.5929\t    530.15\n",
      "451\t    0.1048\t    0.0443\t    0.0036\t    0.5940\t    530.58\n",
      "452\t    0.1048\t    0.0443\t    0.0036\t    0.5950\t    531.02\n",
      "453\t    0.1047\t    0.0444\t    0.0036\t    0.5961\t    531.45\n",
      "454\t    0.1047\t    0.0444\t    0.0036\t    0.5971\t    531.88\n",
      "455\t    0.1046\t    0.0444\t    0.0036\t    0.5981\t    532.31\n",
      "456\t    0.1046\t    0.0445\t    0.0036\t    0.5992\t    532.74\n",
      "457\t    0.1045\t    0.0445\t    0.0035\t    0.6002\t    533.17\n",
      "458\t    0.1045\t    0.0445\t    0.0035\t    0.6013\t    533.60\n",
      "459\t    0.1044\t    0.0446\t    0.0035\t    0.6023\t    534.02\n",
      "460\t    0.1044\t    0.0446\t    0.0035\t    0.6034\t    534.45\n",
      "461\t    0.1043\t    0.0446\t    0.0035\t    0.6044\t    534.88\n",
      "462\t    0.1043\t    0.0447\t    0.0035\t    0.6055\t    535.30\n",
      "463\t    0.1042\t    0.0447\t    0.0035\t    0.6065\t    535.72\n",
      "464\t    0.1042\t    0.0448\t    0.0035\t    0.6075\t    536.15\n",
      "465\t    0.1041\t    0.0448\t    0.0035\t    0.6086\t    536.57\n",
      "466\t    0.1041\t    0.0448\t    0.0035\t    0.6096\t    536.99\n",
      "467\t    0.1040\t    0.0449\t    0.0035\t    0.6107\t    537.41\n",
      "468\t    0.1040\t    0.0449\t    0.0035\t    0.6117\t    537.83\n",
      "469\t    0.1039\t    0.0449\t    0.0035\t    0.6127\t    538.24\n",
      "470\t    0.1039\t    0.0450\t    0.0034\t    0.6138\t    538.66\n",
      "471\t    0.1038\t    0.0450\t    0.0034\t    0.6148\t    539.08\n",
      "472\t    0.1038\t    0.0450\t    0.0034\t    0.6158\t    539.49\n",
      "473\t    0.1037\t    0.0451\t    0.0034\t    0.6169\t    539.91\n",
      "474\t    0.1037\t    0.0451\t    0.0034\t    0.6179\t    540.32\n",
      "475\t    0.1036\t    0.0451\t    0.0034\t    0.6190\t    540.73\n",
      "476\t    0.1036\t    0.0452\t    0.0034\t    0.6200\t    541.14\n",
      "477\t    0.1035\t    0.0452\t    0.0034\t    0.6210\t    541.55\n",
      "478\t    0.1035\t    0.0452\t    0.0034\t    0.6221\t    541.96\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "479\t    0.1034\t    0.0453\t    0.0034\t    0.6231\t    542.37\n",
      "480\t    0.1034\t    0.0453\t    0.0034\t    0.6241\t    542.78\n",
      "481\t    0.1033\t    0.0453\t    0.0034\t    0.6252\t    543.19\n",
      "482\t    0.1033\t    0.0454\t    0.0034\t    0.6262\t    543.60\n",
      "483\t    0.1032\t    0.0454\t    0.0034\t    0.6272\t    544.00\n",
      "484\t    0.1032\t    0.0454\t    0.0033\t    0.6283\t    544.41\n",
      "485\t    0.1031\t    0.0455\t    0.0033\t    0.6293\t    544.81\n",
      "486\t    0.1031\t    0.0455\t    0.0033\t    0.6303\t    545.21\n",
      "487\t    0.1030\t    0.0455\t    0.0033\t    0.6313\t    545.62\n",
      "488\t    0.1030\t    0.0456\t    0.0033\t    0.6324\t    546.02\n",
      "489\t    0.1029\t    0.0456\t    0.0033\t    0.6334\t    546.42\n",
      "490\t    0.1029\t    0.0456\t    0.0033\t    0.6344\t    546.82\n",
      "491\t    0.1028\t    0.0457\t    0.0033\t    0.6355\t    547.22\n",
      "492\t    0.1028\t    0.0457\t    0.0033\t    0.6365\t    547.62\n",
      "493\t    0.1027\t    0.0457\t    0.0033\t    0.6375\t    548.02\n",
      "494\t    0.1027\t    0.0458\t    0.0033\t    0.6385\t    548.41\n",
      "495\t    0.1026\t    0.0458\t    0.0033\t    0.6396\t    548.81\n",
      "496\t    0.1026\t    0.0458\t    0.0033\t    0.6406\t    549.20\n",
      "497\t    0.1025\t    0.0459\t    0.0033\t    0.6416\t    549.60\n",
      "498\t    0.1025\t    0.0459\t    0.0033\t    0.6426\t    549.99\n",
      "499\t    0.1024\t    0.0459\t    0.0032\t    0.6437\t    550.38\n",
      "500\t    0.1024\t    0.0460\t    0.0032\t    0.6447\t    550.78\n",
      "501\t    0.1023\t    0.0460\t    0.0032\t    0.6457\t    551.17\n",
      "502\t    0.1023\t    0.0460\t    0.0032\t    0.6467\t    551.56\n",
      "503\t    0.1023\t    0.0461\t    0.0032\t    0.6478\t    551.95\n",
      "504\t    0.1022\t    0.0461\t    0.0032\t    0.6488\t    552.34\n",
      "505\t    0.1022\t    0.0461\t    0.0032\t    0.6498\t    552.73\n",
      "506\t    0.1021\t    0.0462\t    0.0032\t    0.6508\t    553.11\n",
      "507\t    0.1021\t    0.0462\t    0.0032\t    0.6518\t    553.50\n",
      "508\t    0.1020\t    0.0462\t    0.0032\t    0.6529\t    553.89\n",
      "509\t    0.1020\t    0.0462\t    0.0032\t    0.6539\t    554.27\n",
      "510\t    0.1019\t    0.0463\t    0.0032\t    0.6549\t    554.66\n",
      "511\t    0.1019\t    0.0463\t    0.0032\t    0.6559\t    555.04\n",
      "512\t    0.1018\t    0.0463\t    0.0032\t    0.6569\t    555.42\n",
      "513\t    0.1018\t    0.0464\t    0.0032\t    0.6580\t    555.80\n",
      "514\t    0.1017\t    0.0464\t    0.0032\t    0.6590\t    556.19\n",
      "515\t    0.1017\t    0.0464\t    0.0031\t    0.6600\t    556.57\n",
      "516\t    0.1016\t    0.0465\t    0.0031\t    0.6610\t    556.95\n",
      "517\t    0.1016\t    0.0465\t    0.0031\t    0.6620\t    557.33\n",
      "518\t    0.1016\t    0.0465\t    0.0031\t    0.6630\t    557.71\n",
      "519\t    0.1015\t    0.0466\t    0.0031\t    0.6640\t    558.08\n",
      "520\t    0.1015\t    0.0466\t    0.0031\t    0.6651\t    558.46\n",
      "521\t    0.1014\t    0.0466\t    0.0031\t    0.6661\t    558.84\n",
      "522\t    0.1014\t    0.0467\t    0.0031\t    0.6671\t    559.21\n",
      "523\t    0.1013\t    0.0467\t    0.0031\t    0.6681\t    559.59\n",
      "524\t    0.1013\t    0.0467\t    0.0031\t    0.6691\t    559.96\n",
      "525\t    0.1012\t    0.0467\t    0.0031\t    0.6701\t    560.34\n",
      "526\t    0.1012\t    0.0468\t    0.0031\t    0.6711\t    560.71\n",
      "527\t    0.1011\t    0.0468\t    0.0031\t    0.6722\t    561.08\n",
      "528\t    0.1011\t    0.0468\t    0.0031\t    0.6732\t    561.45\n",
      "529\t    0.1011\t    0.0469\t    0.0031\t    0.6742\t    561.82\n",
      "530\t    0.1010\t    0.0469\t    0.0031\t    0.6752\t    562.19\n",
      "531\t    0.1010\t    0.0469\t    0.0031\t    0.6762\t    562.56\n",
      "532\t    0.1009\t    0.0470\t    0.0030\t    0.6772\t    562.93\n",
      "533\t    0.1009\t    0.0470\t    0.0030\t    0.6782\t    563.30\n",
      "534\t    0.1008\t    0.0470\t    0.0030\t    0.6792\t    563.67\n",
      "535\t    0.1008\t    0.0471\t    0.0030\t    0.6802\t    564.03\n",
      "536\t    0.1007\t    0.0471\t    0.0030\t    0.6812\t    564.40\n",
      "537\t    0.1007\t    0.0471\t    0.0030\t    0.6822\t    564.76\n",
      "538\t    0.1007\t    0.0471\t    0.0030\t    0.6832\t    565.13\n",
      "539\t    0.1006\t    0.0472\t    0.0030\t    0.6842\t    565.49\n",
      "540\t    0.1006\t    0.0472\t    0.0030\t    0.6853\t    565.86\n",
      "541\t    0.1005\t    0.0472\t    0.0030\t    0.6863\t    566.22\n",
      "542\t    0.1005\t    0.0473\t    0.0030\t    0.6873\t    566.58\n",
      "543\t    0.1004\t    0.0473\t    0.0030\t    0.6883\t    566.94\n",
      "544\t    0.1004\t    0.0473\t    0.0030\t    0.6893\t    567.30\n",
      "545\t    0.1004\t    0.0474\t    0.0030\t    0.6903\t    567.66\n",
      "546\t    0.1003\t    0.0474\t    0.0030\t    0.6913\t    568.02\n",
      "547\t    0.1003\t    0.0474\t    0.0030\t    0.6923\t    568.38\n",
      "548\t    0.1002\t    0.0474\t    0.0030\t    0.6933\t    568.74\n",
      "549\t    0.1002\t    0.0475\t    0.0030\t    0.6943\t    569.10\n",
      "550\t    0.1001\t    0.0475\t    0.0029\t    0.6953\t    569.45\n",
      "551\t    0.1001\t    0.0475\t    0.0029\t    0.6963\t    569.81\n",
      "552\t    0.1001\t    0.0476\t    0.0029\t    0.6973\t    570.16\n",
      "553\t    0.1000\t    0.0476\t    0.0029\t    0.6983\t    570.52\n",
      "554\t    0.1000\t    0.0476\t    0.0029\t    0.6993\t    570.87\n",
      "555\t    0.0999\t    0.0476\t    0.0029\t    0.7003\t    571.23\n",
      "556\t    0.0999\t    0.0477\t    0.0029\t    0.7013\t    571.58\n",
      "557\t    0.0998\t    0.0477\t    0.0029\t    0.7023\t    571.93\n",
      "558\t    0.0998\t    0.0477\t    0.0029\t    0.7033\t    572.28\n",
      "559\t    0.0998\t    0.0478\t    0.0029\t    0.7043\t    572.63\n",
      "560\t    0.0997\t    0.0478\t    0.0029\t    0.7053\t    572.99\n",
      "561\t    0.0997\t    0.0478\t    0.0029\t    0.7063\t    573.33\n",
      "562\t    0.0996\t    0.0479\t    0.0029\t    0.7073\t    573.68\n",
      "563\t    0.0996\t    0.0479\t    0.0029\t    0.7083\t    574.03\n",
      "564\t    0.0996\t    0.0479\t    0.0029\t    0.7093\t    574.38\n",
      "565\t    0.0995\t    0.0479\t    0.0029\t    0.7102\t    574.73\n",
      "566\t    0.0995\t    0.0480\t    0.0029\t    0.7112\t    575.07\n",
      "567\t    0.0994\t    0.0480\t    0.0029\t    0.7122\t    575.42\n",
      "568\t    0.0994\t    0.0480\t    0.0029\t    0.7132\t    575.77\n",
      "569\t    0.0993\t    0.0481\t    0.0028\t    0.7142\t    576.11\n",
      "570\t    0.0993\t    0.0481\t    0.0028\t    0.7152\t    576.46\n",
      "571\t    0.0993\t    0.0481\t    0.0028\t    0.7162\t    576.80\n",
      "572\t    0.0992\t    0.0481\t    0.0028\t    0.7172\t    577.14\n",
      "573\t    0.0992\t    0.0482\t    0.0028\t    0.7182\t    577.48\n",
      "574\t    0.0991\t    0.0482\t    0.0028\t    0.7192\t    577.83\n",
      "575\t    0.0991\t    0.0482\t    0.0028\t    0.7202\t    578.17\n",
      "576\t    0.0991\t    0.0483\t    0.0028\t    0.7212\t    578.51\n",
      "577\t    0.0990\t    0.0483\t    0.0028\t    0.7222\t    578.85\n",
      "578\t    0.0990\t    0.0483\t    0.0028\t    0.7231\t    579.19\n",
      "579\t    0.0989\t    0.0483\t    0.0028\t    0.7241\t    579.53\n",
      "580\t    0.0989\t    0.0484\t    0.0028\t    0.7251\t    579.87\n",
      "581\t    0.0989\t    0.0484\t    0.0028\t    0.7261\t    580.20\n",
      "582\t    0.0988\t    0.0484\t    0.0028\t    0.7271\t    580.54\n",
      "583\t    0.0988\t    0.0484\t    0.0028\t    0.7281\t    580.88\n",
      "584\t    0.0987\t    0.0485\t    0.0028\t    0.7291\t    581.21\n",
      "585\t    0.0987\t    0.0485\t    0.0028\t    0.7301\t    581.55\n",
      "586\t    0.0987\t    0.0485\t    0.0028\t    0.7310\t    581.88\n",
      "587\t    0.0986\t    0.0486\t    0.0028\t    0.7320\t    582.22\n",
      "588\t    0.0986\t    0.0486\t    0.0028\t    0.7330\t    582.55\n",
      "589\t    0.0985\t    0.0486\t    0.0028\t    0.7340\t    582.89\n",
      "590\t    0.0985\t    0.0486\t    0.0027\t    0.7350\t    583.22\n",
      "591\t    0.0985\t    0.0487\t    0.0027\t    0.7360\t    583.55\n",
      "592\t    0.0984\t    0.0487\t    0.0027\t    0.7370\t    583.88\n",
      "593\t    0.0984\t    0.0487\t    0.0027\t    0.7379\t    584.21\n",
      "594\t    0.0983\t    0.0487\t    0.0027\t    0.7389\t    584.54\n",
      "595\t    0.0983\t    0.0488\t    0.0027\t    0.7399\t    584.87\n",
      "596\t    0.0983\t    0.0488\t    0.0027\t    0.7409\t    585.20\n",
      "597\t    0.0982\t    0.0488\t    0.0027\t    0.7419\t    585.53\n",
      "598\t    0.0982\t    0.0489\t    0.0027\t    0.7428\t    585.86\n",
      "599\t    0.0981\t    0.0489\t    0.0027\t    0.7438\t    586.19\n",
      "600\t    0.0981\t    0.0489\t    0.0027\t    0.7448\t    586.51\n",
      "601\t    0.0981\t    0.0489\t    0.0027\t    0.7458\t    586.84\n",
      "602\t    0.0980\t    0.0490\t    0.0027\t    0.7468\t    587.17\n",
      "603\t    0.0980\t    0.0490\t    0.0027\t    0.7477\t    587.49\n",
      "604\t    0.0980\t    0.0490\t    0.0027\t    0.7487\t    587.82\n",
      "605\t    0.0979\t    0.0490\t    0.0027\t    0.7497\t    588.14\n",
      "606\t    0.0979\t    0.0491\t    0.0027\t    0.7507\t    588.47\n",
      "607\t    0.0978\t    0.0491\t    0.0027\t    0.7517\t    588.79\n",
      "608\t    0.0978\t    0.0491\t    0.0027\t    0.7526\t    589.11\n",
      "609\t    0.0978\t    0.0492\t    0.0027\t    0.7536\t    589.44\n",
      "610\t    0.0977\t    0.0492\t    0.0027\t    0.7546\t    589.76\n",
      "611\t    0.0977\t    0.0492\t    0.0027\t    0.7556\t    590.08\n",
      "612\t    0.0976\t    0.0492\t    0.0026\t    0.7565\t    590.40\n",
      "613\t    0.0976\t    0.0493\t    0.0026\t    0.7575\t    590.72\n",
      "614\t    0.0976\t    0.0493\t    0.0026\t    0.7585\t    591.04\n",
      "615\t    0.0975\t    0.0493\t    0.0026\t    0.7595\t    591.36\n",
      "616\t    0.0975\t    0.0493\t    0.0026\t    0.7604\t    591.68\n",
      "617\t    0.0975\t    0.0494\t    0.0026\t    0.7614\t    592.00\n",
      "618\t    0.0974\t    0.0494\t    0.0026\t    0.7624\t    592.31\n",
      "619\t    0.0974\t    0.0494\t    0.0026\t    0.7634\t    592.63\n",
      "620\t    0.0973\t    0.0494\t    0.0026\t    0.7643\t    592.95\n",
      "621\t    0.0973\t    0.0495\t    0.0026\t    0.7653\t    593.26\n",
      "622\t    0.0973\t    0.0495\t    0.0026\t    0.7663\t    593.58\n",
      "623\t    0.0972\t    0.0495\t    0.0026\t    0.7673\t    593.89\n",
      "624\t    0.0972\t    0.0495\t    0.0026\t    0.7682\t    594.21\n",
      "625\t    0.0971\t    0.0496\t    0.0026\t    0.7692\t    594.53\n",
      "626\t    0.0971\t    0.0496\t    0.0026\t    0.7702\t    594.84\n",
      "627\t    0.0970\t    0.0496\t    0.0026\t    0.7711\t    595.15\n",
      "628\t    0.0970\t    0.0497\t    0.0026\t    0.7721\t    595.47\n",
      "629\t    0.0970\t    0.0497\t    0.0026\t    0.7731\t    595.78\n",
      "630\t    0.0969\t    0.0497\t    0.0026\t    0.7740\t    596.09\n",
      "631\t    0.0969\t    0.0497\t    0.0026\t    0.7750\t    596.40\n",
      "632\t    0.0969\t    0.0498\t    0.0026\t    0.7760\t    596.71\n",
      "633\t    0.0968\t    0.0498\t    0.0026\t    0.7770\t    597.02\n",
      "634\t    0.0968\t    0.0498\t    0.0026\t    0.7779\t    597.33\n",
      "635\t    0.0967\t    0.0498\t    0.0026\t    0.7789\t    597.64\n",
      "636\t    0.0967\t    0.0499\t    0.0025\t    0.7799\t    597.95\n",
      "637\t    0.0967\t    0.0499\t    0.0025\t    0.7808\t    598.26\n",
      "638\t    0.0966\t    0.0499\t    0.0025\t    0.7818\t    598.57\n",
      "639\t    0.0966\t    0.0499\t    0.0025\t    0.7828\t    598.87\n",
      "640\t    0.0966\t    0.0500\t    0.0025\t    0.7837\t    599.18\n",
      "641\t    0.0965\t    0.0500\t    0.0025\t    0.7847\t    599.49\n",
      "642\t    0.0965\t    0.0500\t    0.0025\t    0.7856\t    599.79\n",
      "643\t    0.0965\t    0.0500\t    0.0025\t    0.7866\t    600.10\n",
      "644\t    0.0964\t    0.0501\t    0.0025\t    0.7876\t    600.40\n",
      "645\t    0.0964\t    0.0501\t    0.0025\t    0.7885\t    600.71\n",
      "646\t    0.0964\t    0.0501\t    0.0025\t    0.7895\t    601.01\n",
      "647\t    0.0963\t    0.0501\t    0.0025\t    0.7905\t    601.32\n",
      "648\t    0.0963\t    0.0502\t    0.0025\t    0.7914\t    601.62\n",
      "649\t    0.0962\t    0.0502\t    0.0025\t    0.7924\t    601.92\n",
      "650\t    0.0962\t    0.0502\t    0.0025\t    0.7934\t    602.22\n",
      "651\t    0.0962\t    0.0502\t    0.0025\t    0.7943\t    602.53\n",
      "652\t    0.0961\t    0.0503\t    0.0025\t    0.7953\t    602.83\n",
      "653\t    0.0961\t    0.0503\t    0.0025\t    0.7962\t    603.13\n",
      "654\t    0.0961\t    0.0503\t    0.0025\t    0.7972\t    603.43\n",
      "655\t    0.0960\t    0.0503\t    0.0025\t    0.7982\t    603.73\n",
      "656\t    0.0960\t    0.0504\t    0.0025\t    0.7991\t    604.03\n",
      "657\t    0.0960\t    0.0504\t    0.0025\t    0.8001\t    604.33\n",
      "658\t    0.0959\t    0.0504\t    0.0025\t    0.8010\t    604.62\n",
      "659\t    0.0959\t    0.0504\t    0.0025\t    0.8020\t    604.92\n",
      "660\t    0.0959\t    0.0505\t    0.0025\t    0.8029\t    605.22\n",
      "661\t    0.0958\t    0.0505\t    0.0025\t    0.8039\t    605.52\n",
      "662\t    0.0958\t    0.0505\t    0.0024\t    0.8049\t    605.81\n",
      "663\t    0.0958\t    0.0505\t    0.0024\t    0.8058\t    606.11\n",
      "664\t    0.0957\t    0.0506\t    0.0024\t    0.8068\t    606.41\n",
      "665\t    0.0957\t    0.0506\t    0.0024\t    0.8077\t    606.70\n",
      "666\t    0.0957\t    0.0506\t    0.0024\t    0.8087\t    607.00\n",
      "667\t    0.0956\t    0.0506\t    0.0024\t    0.8096\t    607.29\n",
      "668\t    0.0956\t    0.0507\t    0.0024\t    0.8106\t    607.59\n",
      "669\t    0.0955\t    0.0507\t    0.0024\t    0.8116\t    607.88\n",
      "670\t    0.0955\t    0.0507\t    0.0024\t    0.8125\t    608.17\n",
      "671\t    0.0955\t    0.0507\t    0.0024\t    0.8135\t    608.47\n",
      "672\t    0.0954\t    0.0507\t    0.0024\t    0.8144\t    608.76\n",
      "673\t    0.0954\t    0.0508\t    0.0024\t    0.8154\t    609.05\n",
      "674\t    0.0954\t    0.0508\t    0.0024\t    0.8163\t    609.34\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "675\t    0.0953\t    0.0508\t    0.0024\t    0.8173\t    609.63\n",
      "676\t    0.0953\t    0.0508\t    0.0024\t    0.8182\t    609.92\n",
      "677\t    0.0953\t    0.0509\t    0.0024\t    0.8192\t    610.21\n",
      "678\t    0.0952\t    0.0509\t    0.0024\t    0.8201\t    610.50\n",
      "679\t    0.0952\t    0.0509\t    0.0024\t    0.8211\t    610.79\n",
      "680\t    0.0952\t    0.0509\t    0.0024\t    0.8220\t    611.08\n",
      "681\t    0.0951\t    0.0510\t    0.0024\t    0.8230\t    611.37\n",
      "682\t    0.0951\t    0.0510\t    0.0024\t    0.8239\t    611.66\n",
      "683\t    0.0951\t    0.0510\t    0.0024\t    0.8249\t    611.94\n",
      "684\t    0.0950\t    0.0510\t    0.0024\t    0.8258\t    612.23\n",
      "685\t    0.0950\t    0.0511\t    0.0024\t    0.8268\t    612.52\n",
      "686\t    0.0950\t    0.0511\t    0.0024\t    0.8277\t    612.81\n",
      "687\t    0.0949\t    0.0511\t    0.0024\t    0.8287\t    613.09\n",
      "688\t    0.0949\t    0.0511\t    0.0024\t    0.8296\t    613.38\n",
      "689\t    0.0949\t    0.0512\t    0.0024\t    0.8306\t    613.66\n",
      "690\t    0.0948\t    0.0512\t    0.0023\t    0.8315\t    613.95\n",
      "691\t    0.0948\t    0.0512\t    0.0023\t    0.8325\t    614.23\n",
      "692\t    0.0948\t    0.0512\t    0.0023\t    0.8334\t    614.51\n",
      "693\t    0.0947\t    0.0512\t    0.0023\t    0.8344\t    614.80\n",
      "694\t    0.0947\t    0.0513\t    0.0023\t    0.8353\t    615.08\n",
      "695\t    0.0947\t    0.0513\t    0.0023\t    0.8363\t    615.36\n",
      "696\t    0.0946\t    0.0513\t    0.0023\t    0.8372\t    615.65\n",
      "697\t    0.0946\t    0.0513\t    0.0023\t    0.8382\t    615.93\n",
      "698\t    0.0946\t    0.0514\t    0.0023\t    0.8391\t    616.21\n",
      "699\t    0.0945\t    0.0514\t    0.0023\t    0.8401\t    616.49\n",
      "700\t    0.0945\t    0.0514\t    0.0023\t    0.8410\t    616.77\n",
      "701\t    0.0945\t    0.0514\t    0.0023\t    0.8419\t    617.05\n",
      "702\t    0.0944\t    0.0515\t    0.0023\t    0.8429\t    617.33\n",
      "703\t    0.0944\t    0.0515\t    0.0023\t    0.8438\t    617.61\n",
      "704\t    0.0944\t    0.0515\t    0.0023\t    0.8448\t    617.89\n",
      "705\t    0.0944\t    0.0515\t    0.0023\t    0.8457\t    618.17\n",
      "706\t    0.0943\t    0.0515\t    0.0023\t    0.8467\t    618.45\n",
      "707\t    0.0943\t    0.0516\t    0.0023\t    0.8476\t    618.73\n",
      "708\t    0.0943\t    0.0516\t    0.0023\t    0.8485\t    619.00\n",
      "709\t    0.0942\t    0.0516\t    0.0023\t    0.8495\t    619.28\n",
      "710\t    0.0942\t    0.0516\t    0.0023\t    0.8504\t    619.56\n",
      "711\t    0.0942\t    0.0517\t    0.0023\t    0.8514\t    619.83\n",
      "712\t    0.0941\t    0.0517\t    0.0023\t    0.8523\t    620.11\n",
      "713\t    0.0941\t    0.0517\t    0.0023\t    0.8532\t    620.38\n",
      "714\t    0.0941\t    0.0517\t    0.0023\t    0.8542\t    620.66\n",
      "715\t    0.0940\t    0.0518\t    0.0023\t    0.8551\t    620.93\n",
      "716\t    0.0940\t    0.0518\t    0.0023\t    0.8561\t    621.21\n",
      "717\t    0.0940\t    0.0518\t    0.0023\t    0.8570\t    621.48\n",
      "718\t    0.0939\t    0.0518\t    0.0023\t    0.8579\t    621.76\n",
      "719\t    0.0939\t    0.0518\t    0.0023\t    0.8589\t    622.03\n",
      "720\t    0.0939\t    0.0519\t    0.0023\t    0.8598\t    622.30\n",
      "721\t    0.0938\t    0.0519\t    0.0022\t    0.8608\t    622.58\n",
      "722\t    0.0938\t    0.0519\t    0.0022\t    0.8617\t    622.85\n",
      "723\t    0.0938\t    0.0519\t    0.0022\t    0.8626\t    623.12\n",
      "724\t    0.0937\t    0.0520\t    0.0022\t    0.8636\t    623.39\n",
      "725\t    0.0937\t    0.0520\t    0.0022\t    0.8645\t    623.66\n",
      "726\t    0.0937\t    0.0520\t    0.0022\t    0.8654\t    623.93\n",
      "727\t    0.0937\t    0.0520\t    0.0022\t    0.8664\t    624.20\n",
      "728\t    0.0936\t    0.0520\t    0.0022\t    0.8673\t    624.47\n",
      "729\t    0.0936\t    0.0521\t    0.0022\t    0.8683\t    624.74\n",
      "730\t    0.0936\t    0.0521\t    0.0022\t    0.8692\t    625.01\n",
      "731\t    0.0935\t    0.0521\t    0.0022\t    0.8701\t    625.28\n",
      "732\t    0.0935\t    0.0521\t    0.0022\t    0.8711\t    625.55\n",
      "733\t    0.0935\t    0.0522\t    0.0022\t    0.8720\t    625.82\n",
      "734\t    0.0934\t    0.0522\t    0.0022\t    0.8729\t    626.08\n",
      "735\t    0.0934\t    0.0522\t    0.0022\t    0.8739\t    626.35\n",
      "736\t    0.0934\t    0.0522\t    0.0022\t    0.8748\t    626.62\n",
      "737\t    0.0933\t    0.0522\t    0.0022\t    0.8757\t    626.89\n",
      "738\t    0.0933\t    0.0523\t    0.0022\t    0.8767\t    627.15\n",
      "739\t    0.0933\t    0.0523\t    0.0022\t    0.8776\t    627.42\n",
      "740\t    0.0932\t    0.0523\t    0.0022\t    0.8785\t    627.68\n",
      "741\t    0.0932\t    0.0523\t    0.0022\t    0.8795\t    627.95\n",
      "742\t    0.0932\t    0.0524\t    0.0022\t    0.8804\t    628.21\n",
      "743\t    0.0932\t    0.0524\t    0.0022\t    0.8813\t    628.48\n",
      "744\t    0.0931\t    0.0524\t    0.0022\t    0.8822\t    628.74\n",
      "745\t    0.0931\t    0.0524\t    0.0022\t    0.8832\t    629.01\n",
      "746\t    0.0931\t    0.0524\t    0.0022\t    0.8841\t    629.27\n",
      "747\t    0.0930\t    0.0525\t    0.0022\t    0.8850\t    629.53\n",
      "748\t    0.0930\t    0.0525\t    0.0022\t    0.8860\t    629.79\n",
      "749\t    0.0930\t    0.0525\t    0.0022\t    0.8869\t    630.06\n",
      "750\t    0.0929\t    0.0525\t    0.0022\t    0.8878\t    630.32\n",
      "751\t    0.0929\t    0.0525\t    0.0022\t    0.8888\t    630.58\n",
      "752\t    0.0929\t    0.0526\t    0.0022\t    0.8897\t    630.84\n",
      "753\t    0.0929\t    0.0526\t    0.0022\t    0.8906\t    631.10\n",
      "754\t    0.0928\t    0.0526\t    0.0021\t    0.8915\t    631.36\n",
      "755\t    0.0928\t    0.0526\t    0.0021\t    0.8925\t    631.62\n",
      "756\t    0.0928\t    0.0527\t    0.0021\t    0.8934\t    631.88\n",
      "757\t    0.0927\t    0.0527\t    0.0021\t    0.8943\t    632.14\n",
      "758\t    0.0927\t    0.0527\t    0.0021\t    0.8952\t    632.40\n",
      "759\t    0.0927\t    0.0527\t    0.0021\t    0.8962\t    632.66\n",
      "760\t    0.0926\t    0.0527\t    0.0021\t    0.8971\t    632.92\n",
      "761\t    0.0926\t    0.0528\t    0.0021\t    0.8980\t    633.18\n",
      "762\t    0.0926\t    0.0528\t    0.0021\t    0.8990\t    633.44\n",
      "763\t    0.0926\t    0.0528\t    0.0021\t    0.8999\t    633.69\n",
      "764\t    0.0925\t    0.0528\t    0.0021\t    0.9008\t    633.95\n",
      "765\t    0.0925\t    0.0528\t    0.0021\t    0.9017\t    634.21\n",
      "766\t    0.0925\t    0.0529\t    0.0021\t    0.9027\t    634.46\n",
      "767\t    0.0924\t    0.0529\t    0.0021\t    0.9036\t    634.72\n",
      "768\t    0.0924\t    0.0529\t    0.0021\t    0.9045\t    634.98\n",
      "769\t    0.0924\t    0.0529\t    0.0021\t    0.9054\t    635.23\n",
      "770\t    0.0923\t    0.0530\t    0.0021\t    0.9063\t    635.49\n",
      "771\t    0.0923\t    0.0530\t    0.0021\t    0.9073\t    635.74\n",
      "772\t    0.0923\t    0.0530\t    0.0021\t    0.9082\t    636.00\n",
      "773\t    0.0923\t    0.0530\t    0.0021\t    0.9091\t    636.25\n",
      "774\t    0.0922\t    0.0530\t    0.0021\t    0.9100\t    636.51\n",
      "775\t    0.0922\t    0.0531\t    0.0021\t    0.9110\t    636.76\n",
      "776\t    0.0922\t    0.0531\t    0.0021\t    0.9119\t    637.01\n",
      "777\t    0.0921\t    0.0531\t    0.0021\t    0.9128\t    637.27\n",
      "778\t    0.0921\t    0.0531\t    0.0021\t    0.9137\t    637.52\n",
      "779\t    0.0921\t    0.0531\t    0.0021\t    0.9146\t    637.77\n",
      "780\t    0.0921\t    0.0532\t    0.0021\t    0.9156\t    638.02\n",
      "781\t    0.0920\t    0.0532\t    0.0021\t    0.9165\t    638.27\n",
      "782\t    0.0920\t    0.0532\t    0.0021\t    0.9174\t    638.53\n",
      "783\t    0.0920\t    0.0532\t    0.0021\t    0.9183\t    638.78\n",
      "784\t    0.0919\t    0.0532\t    0.0021\t    0.9192\t    639.03\n",
      "785\t    0.0919\t    0.0533\t    0.0021\t    0.9202\t    639.28\n",
      "786\t    0.0919\t    0.0533\t    0.0021\t    0.9211\t    639.53\n",
      "787\t    0.0919\t    0.0533\t    0.0021\t    0.9220\t    639.78\n",
      "788\t    0.0918\t    0.0533\t    0.0021\t    0.9229\t    640.03\n",
      "789\t    0.0918\t    0.0533\t    0.0021\t    0.9238\t    640.28\n",
      "790\t    0.0918\t    0.0534\t    0.0021\t    0.9247\t    640.52\n",
      "791\t    0.0917\t    0.0534\t    0.0020\t    0.9257\t    640.77\n",
      "792\t    0.0917\t    0.0534\t    0.0020\t    0.9266\t    641.02\n",
      "793\t    0.0917\t    0.0534\t    0.0020\t    0.9275\t    641.27\n",
      "794\t    0.0917\t    0.0534\t    0.0020\t    0.9284\t    641.52\n",
      "795\t    0.0916\t    0.0535\t    0.0020\t    0.9293\t    641.76\n",
      "796\t    0.0916\t    0.0535\t    0.0020\t    0.9302\t    642.01\n",
      "797\t    0.0916\t    0.0535\t    0.0020\t    0.9312\t    642.26\n",
      "798\t    0.0915\t    0.0535\t    0.0020\t    0.9321\t    642.50\n",
      "799\t    0.0915\t    0.0535\t    0.0020\t    0.9330\t    642.75\n",
      "800\t    0.0915\t    0.0536\t    0.0020\t    0.9339\t    643.00\n",
      "801\t    0.0915\t    0.0536\t    0.0020\t    0.9348\t    643.24\n",
      "802\t    0.0914\t    0.0536\t    0.0020\t    0.9357\t    643.49\n",
      "803\t    0.0914\t    0.0536\t    0.0020\t    0.9366\t    643.73\n",
      "804\t    0.0914\t    0.0537\t    0.0020\t    0.9376\t    643.98\n",
      "805\t    0.0913\t    0.0537\t    0.0020\t    0.9385\t    644.22\n",
      "806\t    0.0913\t    0.0537\t    0.0020\t    0.9394\t    644.46\n",
      "807\t    0.0913\t    0.0537\t    0.0020\t    0.9403\t    644.71\n",
      "808\t    0.0913\t    0.0537\t    0.0020\t    0.9412\t    644.95\n",
      "809\t    0.0912\t    0.0538\t    0.0020\t    0.9421\t    645.19\n",
      "810\t    0.0912\t    0.0538\t    0.0020\t    0.9430\t    645.44\n",
      "811\t    0.0912\t    0.0538\t    0.0020\t    0.9439\t    645.68\n",
      "812\t    0.0911\t    0.0538\t    0.0020\t    0.9449\t    645.92\n",
      "813\t    0.0911\t    0.0538\t    0.0020\t    0.9458\t    646.16\n",
      "814\t    0.0911\t    0.0539\t    0.0020\t    0.9467\t    646.40\n",
      "815\t    0.0911\t    0.0539\t    0.0020\t    0.9476\t    646.65\n",
      "816\t    0.0910\t    0.0539\t    0.0020\t    0.9485\t    646.89\n",
      "817\t    0.0910\t    0.0539\t    0.0020\t    0.9494\t    647.13\n",
      "818\t    0.0910\t    0.0539\t    0.0020\t    0.9503\t    647.37\n",
      "819\t    0.0910\t    0.0539\t    0.0020\t    0.9512\t    647.61\n",
      "820\t    0.0909\t    0.0540\t    0.0020\t    0.9521\t    647.85\n",
      "821\t    0.0909\t    0.0540\t    0.0020\t    0.9530\t    648.09\n",
      "822\t    0.0909\t    0.0540\t    0.0020\t    0.9539\t    648.33\n",
      "823\t    0.0908\t    0.0540\t    0.0020\t    0.9549\t    648.56\n",
      "824\t    0.0908\t    0.0540\t    0.0020\t    0.9558\t    648.80\n",
      "825\t    0.0908\t    0.0541\t    0.0020\t    0.9567\t    649.04\n",
      "826\t    0.0908\t    0.0541\t    0.0020\t    0.9576\t    649.28\n",
      "827\t    0.0907\t    0.0541\t    0.0020\t    0.9585\t    649.52\n",
      "828\t    0.0907\t    0.0541\t    0.0020\t    0.9594\t    649.75\n",
      "829\t    0.0907\t    0.0541\t    0.0020\t    0.9603\t    649.99\n",
      "830\t    0.0907\t    0.0542\t    0.0020\t    0.9612\t    650.23\n",
      "831\t    0.0906\t    0.0542\t    0.0019\t    0.9621\t    650.47\n",
      "832\t    0.0906\t    0.0542\t    0.0019\t    0.9630\t    650.70\n",
      "833\t    0.0906\t    0.0542\t    0.0019\t    0.9639\t    650.94\n",
      "834\t    0.0905\t    0.0542\t    0.0019\t    0.9648\t    651.17\n",
      "835\t    0.0905\t    0.0543\t    0.0019\t    0.9657\t    651.41\n",
      "836\t    0.0905\t    0.0543\t    0.0019\t    0.9666\t    651.64\n",
      "837\t    0.0905\t    0.0543\t    0.0019\t    0.9675\t    651.88\n",
      "838\t    0.0904\t    0.0543\t    0.0019\t    0.9684\t    652.11\n",
      "839\t    0.0904\t    0.0543\t    0.0019\t    0.9693\t    652.35\n",
      "840\t    0.0904\t    0.0544\t    0.0019\t    0.9703\t    652.58\n",
      "841\t    0.0904\t    0.0544\t    0.0019\t    0.9712\t    652.82\n",
      "842\t    0.0903\t    0.0544\t    0.0019\t    0.9721\t    653.05\n",
      "843\t    0.0903\t    0.0544\t    0.0019\t    0.9730\t    653.28\n",
      "844\t    0.0903\t    0.0544\t    0.0019\t    0.9739\t    653.52\n",
      "845\t    0.0903\t    0.0545\t    0.0019\t    0.9748\t    653.75\n",
      "846\t    0.0902\t    0.0545\t    0.0019\t    0.9757\t    653.98\n",
      "847\t    0.0902\t    0.0545\t    0.0019\t    0.9766\t    654.21\n",
      "848\t    0.0902\t    0.0545\t    0.0019\t    0.9775\t    654.44\n",
      "849\t    0.0901\t    0.0545\t    0.0019\t    0.9784\t    654.68\n",
      "850\t    0.0901\t    0.0546\t    0.0019\t    0.9793\t    654.91\n",
      "851\t    0.0901\t    0.0546\t    0.0019\t    0.9802\t    655.14\n",
      "852\t    0.0901\t    0.0546\t    0.0019\t    0.9811\t    655.37\n",
      "853\t    0.0900\t    0.0546\t    0.0019\t    0.9820\t    655.60\n",
      "854\t    0.0900\t    0.0546\t    0.0019\t    0.9829\t    655.83\n",
      "855\t    0.0900\t    0.0546\t    0.0019\t    0.9838\t    656.06\n",
      "856\t    0.0900\t    0.0547\t    0.0019\t    0.9847\t    656.29\n",
      "857\t    0.0899\t    0.0547\t    0.0019\t    0.9856\t    656.52\n",
      "858\t    0.0899\t    0.0547\t    0.0019\t    0.9865\t    656.75\n",
      "859\t    0.0899\t    0.0547\t    0.0019\t    0.9874\t    656.98\n",
      "860\t    0.0899\t    0.0547\t    0.0019\t    0.9883\t    657.21\n",
      "861\t    0.0898\t    0.0548\t    0.0019\t    0.9892\t    657.43\n",
      "862\t    0.0898\t    0.0548\t    0.0019\t    0.9901\t    657.66\n",
      "863\t    0.0898\t    0.0548\t    0.0019\t    0.9910\t    657.89\n",
      "864\t    0.0898\t    0.0548\t    0.0019\t    0.9919\t    658.12\n",
      "865\t    0.0897\t    0.0548\t    0.0019\t    0.9927\t    658.34\n",
      "866\t    0.0897\t    0.0549\t    0.0019\t    0.9936\t    658.57\n",
      "867\t    0.0897\t    0.0549\t    0.0019\t    0.9945\t    658.80\n",
      "868\t    0.0896\t    0.0549\t    0.0019\t    0.9954\t    659.03\n",
      "869\t    0.0896\t    0.0549\t    0.0019\t    0.9963\t    659.25\n",
      "870\t    0.0896\t    0.0549\t    0.0019\t    0.9972\t    659.48\n",
      "871\t    0.0896\t    0.0549\t    0.0019\t    0.9981\t    659.70\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "872\t    0.0895\t    0.0550\t    0.0019\t    0.9990\t    659.93\n",
      "873\t    0.0895\t    0.0550\t    0.0019\t    0.9999\t    660.15\n",
      "874\t    0.0895\t    0.0550\t    0.0019\t    1.0008\t    660.38\n",
      "875\t    0.0895\t    0.0550\t    0.0019\t    1.0017\t    660.60\n",
      "876\t    0.0894\t    0.0550\t    0.0018\t    1.0026\t    660.83\n",
      "877\t    0.0894\t    0.0551\t    0.0018\t    1.0035\t    661.05\n",
      "878\t    0.0894\t    0.0551\t    0.0018\t    1.0044\t    661.28\n",
      "879\t    0.0894\t    0.0551\t    0.0018\t    1.0053\t    661.50\n",
      "880\t    0.0893\t    0.0551\t    0.0018\t    1.0062\t    661.72\n",
      "881\t    0.0893\t    0.0551\t    0.0018\t    1.0071\t    661.95\n",
      "882\t    0.0893\t    0.0551\t    0.0018\t    1.0080\t    662.17\n",
      "883\t    0.0893\t    0.0552\t    0.0018\t    1.0088\t    662.39\n",
      "884\t    0.0892\t    0.0552\t    0.0018\t    1.0097\t    662.62\n",
      "885\t    0.0892\t    0.0552\t    0.0018\t    1.0106\t    662.84\n",
      "886\t    0.0892\t    0.0552\t    0.0018\t    1.0115\t    663.06\n",
      "887\t    0.0892\t    0.0552\t    0.0018\t    1.0124\t    663.28\n",
      "888\t    0.0891\t    0.0553\t    0.0018\t    1.0133\t    663.50\n",
      "889\t    0.0891\t    0.0553\t    0.0018\t    1.0142\t    663.72\n",
      "890\t    0.0891\t    0.0553\t    0.0018\t    1.0151\t    663.94\n",
      "891\t    0.0891\t    0.0553\t    0.0018\t    1.0160\t    664.17\n",
      "892\t    0.0890\t    0.0553\t    0.0018\t    1.0169\t    664.39\n",
      "893\t    0.0890\t    0.0554\t    0.0018\t    1.0178\t    664.61\n",
      "894\t    0.0890\t    0.0554\t    0.0018\t    1.0186\t    664.83\n",
      "895\t    0.0890\t    0.0554\t    0.0018\t    1.0195\t    665.05\n",
      "896\t    0.0889\t    0.0554\t    0.0018\t    1.0204\t    665.27\n",
      "897\t    0.0889\t    0.0554\t    0.0018\t    1.0213\t    665.48\n",
      "898\t    0.0889\t    0.0554\t    0.0018\t    1.0222\t    665.70\n",
      "899\t    0.0889\t    0.0555\t    0.0018\t    1.0231\t    665.92\n",
      "900\t    0.0888\t    0.0555\t    0.0018\t    1.0240\t    666.14\n",
      "901\t    0.0888\t    0.0555\t    0.0018\t    1.0249\t    666.36\n",
      "902\t    0.0888\t    0.0555\t    0.0018\t    1.0258\t    666.58\n",
      "903\t    0.0888\t    0.0555\t    0.0018\t    1.0266\t    666.79\n",
      "904\t    0.0887\t    0.0555\t    0.0018\t    1.0275\t    667.01\n",
      "905\t    0.0887\t    0.0556\t    0.0018\t    1.0284\t    667.23\n",
      "906\t    0.0887\t    0.0556\t    0.0018\t    1.0293\t    667.45\n",
      "907\t    0.0887\t    0.0556\t    0.0018\t    1.0302\t    667.66\n",
      "908\t    0.0886\t    0.0556\t    0.0018\t    1.0311\t    667.88\n",
      "909\t    0.0886\t    0.0556\t    0.0018\t    1.0320\t    668.10\n",
      "910\t    0.0886\t    0.0557\t    0.0018\t    1.0328\t    668.31\n",
      "911\t    0.0886\t    0.0557\t    0.0018\t    1.0337\t    668.53\n",
      "912\t    0.0885\t    0.0557\t    0.0018\t    1.0346\t    668.74\n",
      "913\t    0.0885\t    0.0557\t    0.0018\t    1.0355\t    668.96\n",
      "914\t    0.0885\t    0.0557\t    0.0018\t    1.0364\t    669.17\n",
      "915\t    0.0885\t    0.0557\t    0.0018\t    1.0373\t    669.39\n",
      "916\t    0.0884\t    0.0558\t    0.0018\t    1.0382\t    669.60\n",
      "917\t    0.0884\t    0.0558\t    0.0018\t    1.0390\t    669.82\n",
      "918\t    0.0884\t    0.0558\t    0.0018\t    1.0399\t    670.03\n",
      "919\t    0.0884\t    0.0558\t    0.0018\t    1.0408\t    670.25\n",
      "920\t    0.0883\t    0.0558\t    0.0018\t    1.0417\t    670.46\n",
      "921\t    0.0883\t    0.0558\t    0.0018\t    1.0426\t    670.67\n",
      "922\t    0.0883\t    0.0559\t    0.0018\t    1.0434\t    670.89\n",
      "923\t    0.0883\t    0.0559\t    0.0018\t    1.0443\t    671.10\n",
      "924\t    0.0883\t    0.0559\t    0.0018\t    1.0452\t    671.31\n",
      "925\t    0.0882\t    0.0559\t    0.0018\t    1.0461\t    671.53\n",
      "926\t    0.0882\t    0.0559\t    0.0017\t    1.0470\t    671.74\n",
      "927\t    0.0882\t    0.0560\t    0.0017\t    1.0479\t    671.95\n",
      "928\t    0.0882\t    0.0560\t    0.0017\t    1.0487\t    672.16\n",
      "929\t    0.0881\t    0.0560\t    0.0017\t    1.0496\t    672.38\n",
      "930\t    0.0881\t    0.0560\t    0.0017\t    1.0505\t    672.59\n",
      "931\t    0.0881\t    0.0560\t    0.0017\t    1.0514\t    672.80\n",
      "932\t    0.0881\t    0.0560\t    0.0017\t    1.0523\t    673.01\n",
      "933\t    0.0880\t    0.0561\t    0.0017\t    1.0531\t    673.22\n",
      "934\t    0.0880\t    0.0561\t    0.0017\t    1.0540\t    673.43\n",
      "935\t    0.0880\t    0.0561\t    0.0017\t    1.0549\t    673.64\n",
      "936\t    0.0880\t    0.0561\t    0.0017\t    1.0558\t    673.85\n",
      "937\t    0.0879\t    0.0561\t    0.0017\t    1.0567\t    674.06\n",
      "938\t    0.0879\t    0.0561\t    0.0017\t    1.0575\t    674.27\n",
      "939\t    0.0879\t    0.0562\t    0.0017\t    1.0584\t    674.48\n",
      "940\t    0.0879\t    0.0562\t    0.0017\t    1.0593\t    674.69\n",
      "941\t    0.0878\t    0.0562\t    0.0017\t    1.0602\t    674.90\n",
      "942\t    0.0878\t    0.0562\t    0.0017\t    1.0611\t    675.11\n",
      "943\t    0.0878\t    0.0562\t    0.0017\t    1.0619\t    675.32\n",
      "944\t    0.0878\t    0.0562\t    0.0017\t    1.0628\t    675.52\n",
      "945\t    0.0878\t    0.0563\t    0.0017\t    1.0637\t    675.73\n",
      "946\t    0.0877\t    0.0563\t    0.0017\t    1.0646\t    675.94\n",
      "947\t    0.0877\t    0.0563\t    0.0017\t    1.0654\t    676.15\n",
      "948\t    0.0877\t    0.0563\t    0.0017\t    1.0663\t    676.36\n",
      "949\t    0.0877\t    0.0563\t    0.0017\t    1.0672\t    676.56\n",
      "950\t    0.0876\t    0.0564\t    0.0017\t    1.0681\t    676.77\n",
      "951\t    0.0876\t    0.0564\t    0.0017\t    1.0689\t    676.98\n",
      "952\t    0.0876\t    0.0564\t    0.0017\t    1.0698\t    677.18\n",
      "953\t    0.0876\t    0.0564\t    0.0017\t    1.0707\t    677.39\n",
      "954\t    0.0875\t    0.0564\t    0.0017\t    1.0716\t    677.60\n",
      "955\t    0.0875\t    0.0564\t    0.0017\t    1.0724\t    677.80\n",
      "956\t    0.0875\t    0.0565\t    0.0017\t    1.0733\t    678.01\n",
      "957\t    0.0875\t    0.0565\t    0.0017\t    1.0742\t    678.21\n",
      "958\t    0.0874\t    0.0565\t    0.0017\t    1.0751\t    678.42\n",
      "959\t    0.0874\t    0.0565\t    0.0017\t    1.0759\t    678.62\n",
      "960\t    0.0874\t    0.0565\t    0.0017\t    1.0768\t    678.83\n",
      "961\t    0.0874\t    0.0565\t    0.0017\t    1.0777\t    679.03\n",
      "962\t    0.0874\t    0.0566\t    0.0017\t    1.0786\t    679.24\n",
      "963\t    0.0873\t    0.0566\t    0.0017\t    1.0794\t    679.44\n",
      "964\t    0.0873\t    0.0566\t    0.0017\t    1.0803\t    679.65\n",
      "965\t    0.0873\t    0.0566\t    0.0017\t    1.0812\t    679.85\n",
      "966\t    0.0873\t    0.0566\t    0.0017\t    1.0820\t    680.05\n",
      "967\t    0.0872\t    0.0566\t    0.0017\t    1.0829\t    680.26\n",
      "968\t    0.0872\t    0.0567\t    0.0017\t    1.0838\t    680.46\n",
      "969\t    0.0872\t    0.0567\t    0.0017\t    1.0847\t    680.66\n",
      "970\t    0.0872\t    0.0567\t    0.0017\t    1.0855\t    680.87\n",
      "971\t    0.0871\t    0.0567\t    0.0017\t    1.0864\t    681.07\n",
      "972\t    0.0871\t    0.0567\t    0.0017\t    1.0873\t    681.27\n",
      "973\t    0.0871\t    0.0567\t    0.0017\t    1.0881\t    681.47\n",
      "974\t    0.0871\t    0.0568\t    0.0017\t    1.0890\t    681.68\n",
      "975\t    0.0871\t    0.0568\t    0.0017\t    1.0899\t    681.88\n",
      "976\t    0.0870\t    0.0568\t    0.0017\t    1.0908\t    682.08\n",
      "977\t    0.0870\t    0.0568\t    0.0017\t    1.0916\t    682.28\n",
      "978\t    0.0870\t    0.0568\t    0.0017\t    1.0925\t    682.48\n",
      "979\t    0.0870\t    0.0568\t    0.0017\t    1.0934\t    682.68\n",
      "980\t    0.0869\t    0.0569\t    0.0017\t    1.0942\t    682.88\n",
      "981\t    0.0869\t    0.0569\t    0.0017\t    1.0951\t    683.08\n",
      "982\t    0.0869\t    0.0569\t    0.0016\t    1.0960\t    683.28\n",
      "983\t    0.0869\t    0.0569\t    0.0016\t    1.0968\t    683.48\n",
      "984\t    0.0869\t    0.0569\t    0.0016\t    1.0977\t    683.68\n",
      "985\t    0.0868\t    0.0569\t    0.0016\t    1.0986\t    683.88\n",
      "986\t    0.0868\t    0.0570\t    0.0016\t    1.0994\t    684.08\n",
      "987\t    0.0868\t    0.0570\t    0.0016\t    1.1003\t    684.28\n",
      "988\t    0.0868\t    0.0570\t    0.0016\t    1.1012\t    684.48\n",
      "989\t    0.0867\t    0.0570\t    0.0016\t    1.1020\t    684.68\n",
      "990\t    0.0867\t    0.0570\t    0.0016\t    1.1029\t    684.88\n",
      "991\t    0.0867\t    0.0570\t    0.0016\t    1.1038\t    685.08\n",
      "992\t    0.0867\t    0.0571\t    0.0016\t    1.1046\t    685.28\n",
      "993\t    0.0867\t    0.0571\t    0.0016\t    1.1055\t    685.47\n",
      "994\t    0.0866\t    0.0571\t    0.0016\t    1.1064\t    685.67\n",
      "995\t    0.0866\t    0.0571\t    0.0016\t    1.1072\t    685.87\n",
      "996\t    0.0866\t    0.0571\t    0.0016\t    1.1081\t    686.07\n",
      "997\t    0.0866\t    0.0571\t    0.0016\t    1.1090\t    686.27\n",
      "998\t    0.0865\t    0.0571\t    0.0016\t    1.1098\t    686.46\n",
      "999\t    0.0865\t    0.0572\t    0.0016\t    1.1107\t    686.66\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.3065\t    0.0033\t    0.0063\t    0.0033\t      0.77\n",
      "  1\t    0.2787\t    0.0030\t    0.0111\t    0.0061\t      2.12\n",
      "  2\t    0.2628\t    0.0029\t    0.0153\t    0.0087\t      3.96\n",
      "  3\t    0.2514\t    0.0028\t    0.0190\t    0.0112\t      6.24\n",
      "  4\t    0.2431\t    0.0028\t    0.0222\t    0.0136\t      8.92\n",
      "  5\t    0.2362\t    0.0028\t    0.0252\t    0.0160\t     11.96\n",
      "  6\t    0.2304\t    0.0029\t    0.0279\t    0.0183\t     15.31\n",
      "  7\t    0.2254\t    0.0030\t    0.0303\t    0.0206\t     18.95\n",
      "  8\t    0.2209\t    0.0031\t    0.0324\t    0.0228\t     22.84\n",
      "  9\t    0.2169\t    0.0033\t    0.0343\t    0.0249\t     26.96\n",
      " 10\t    0.2133\t    0.0036\t    0.0359\t    0.0271\t     31.28\n",
      " 11\t    0.2100\t    0.0039\t    0.0373\t    0.0292\t     35.77\n",
      " 12\t    0.2069\t    0.0042\t    0.0386\t    0.0312\t     40.40\n",
      " 13\t    0.2041\t    0.0045\t    0.0396\t    0.0333\t     45.16\n",
      " 14\t    0.2012\t    0.0048\t    0.0405\t    0.0353\t     50.03\n",
      " 15\t    0.1988\t    0.0052\t    0.0412\t    0.0373\t     54.98\n",
      " 16\t    0.1965\t    0.0056\t    0.0417\t    0.0393\t     59.99\n",
      " 17\t    0.1943\t    0.0060\t    0.0421\t    0.0412\t     65.05\n",
      " 18\t    0.1923\t    0.0064\t    0.0424\t    0.0431\t     70.15\n",
      " 19\t    0.1903\t    0.0068\t    0.0426\t    0.0450\t     75.26\n",
      " 20\t    0.1885\t    0.0072\t    0.0427\t    0.0469\t     80.39\n",
      " 21\t    0.1868\t    0.0076\t    0.0426\t    0.0488\t     85.51\n",
      " 22\t    0.1851\t    0.0080\t    0.0426\t    0.0506\t     90.62\n",
      " 23\t    0.1835\t    0.0084\t    0.0424\t    0.0525\t     95.72\n",
      " 24\t    0.1820\t    0.0088\t    0.0422\t    0.0543\t    100.79\n",
      " 25\t    0.1805\t    0.0092\t    0.0419\t    0.0561\t    105.83\n",
      " 26\t    0.1791\t    0.0096\t    0.0416\t    0.0579\t    110.83\n",
      " 27\t    0.1778\t    0.0100\t    0.0413\t    0.0597\t    115.79\n",
      " 28\t    0.1765\t    0.0104\t    0.0409\t    0.0614\t    120.70\n",
      " 29\t    0.1753\t    0.0108\t    0.0405\t    0.0632\t    125.57\n",
      " 30\t    0.1741\t    0.0112\t    0.0400\t    0.0649\t    130.38\n",
      " 31\t    0.1730\t    0.0116\t    0.0396\t    0.0666\t    135.14\n",
      " 32\t    0.1719\t    0.0120\t    0.0391\t    0.0684\t    139.84\n",
      " 33\t    0.1708\t    0.0124\t    0.0386\t    0.0701\t    144.48\n",
      " 34\t    0.1698\t    0.0127\t    0.0382\t    0.0718\t    149.06\n",
      " 35\t    0.1688\t    0.0131\t    0.0377\t    0.0735\t    153.59\n",
      " 36\t    0.1679\t    0.0135\t    0.0372\t    0.0751\t    158.05\n",
      " 37\t    0.1669\t    0.0138\t    0.0367\t    0.0768\t    162.46\n",
      " 38\t    0.1661\t    0.0142\t    0.0361\t    0.0785\t    166.80\n",
      " 39\t    0.1652\t    0.0146\t    0.0356\t    0.0801\t    171.08\n",
      " 40\t    0.1644\t    0.0149\t    0.0351\t    0.0818\t    175.31\n",
      " 41\t    0.1635\t    0.0152\t    0.0346\t    0.0834\t    179.47\n",
      " 42\t    0.1628\t    0.0156\t    0.0341\t    0.0850\t    183.57\n",
      " 43\t    0.1620\t    0.0159\t    0.0337\t    0.0866\t    187.61\n",
      " 44\t    0.1612\t    0.0162\t    0.0332\t    0.0883\t    191.60\n",
      " 45\t    0.1605\t    0.0166\t    0.0327\t    0.0899\t    195.53\n",
      " 46\t    0.1598\t    0.0169\t    0.0322\t    0.0915\t    199.40\n",
      " 47\t    0.1591\t    0.0172\t    0.0318\t    0.0931\t    203.22\n",
      " 48\t    0.1585\t    0.0175\t    0.0313\t    0.0946\t    206.98\n",
      " 49\t    0.1578\t    0.0178\t    0.0309\t    0.0962\t    210.69\n",
      " 50\t    0.1572\t    0.0181\t    0.0304\t    0.0978\t    214.34\n",
      " 51\t    0.1566\t    0.0184\t    0.0300\t    0.0994\t    217.95\n",
      " 52\t    0.1560\t    0.0187\t    0.0296\t    0.1009\t    221.50\n",
      " 53\t    0.1554\t    0.0190\t    0.0291\t    0.1025\t    225.00\n",
      " 54\t    0.1548\t    0.0193\t    0.0287\t    0.1040\t    228.46\n",
      " 55\t    0.1542\t    0.0196\t    0.0283\t    0.1056\t    231.86\n",
      " 56\t    0.1537\t    0.0199\t    0.0279\t    0.1071\t    235.22\n",
      " 57\t    0.1530\t    0.0201\t    0.0276\t    0.1086\t    238.54\n",
      " 58\t    0.1525\t    0.0204\t    0.0272\t    0.1101\t    241.80\n",
      " 59\t    0.1520\t    0.0207\t    0.0268\t    0.1117\t    245.03\n",
      " 60\t    0.1515\t    0.0209\t    0.0265\t    0.1132\t    248.21\n",
      " 61\t    0.1510\t    0.0212\t    0.0261\t    0.1147\t    251.35\n",
      " 62\t    0.1505\t    0.0214\t    0.0258\t    0.1162\t    254.44\n",
      " 63\t    0.1500\t    0.0217\t    0.0254\t    0.1177\t    257.50\n",
      " 64\t    0.1496\t    0.0219\t    0.0251\t    0.1192\t    260.51\n",
      " 65\t    0.1491\t    0.0222\t    0.0248\t    0.1207\t    263.49\n",
      " 66\t    0.1487\t    0.0224\t    0.0244\t    0.1222\t    266.43\n",
      " 67\t    0.1482\t    0.0227\t    0.0241\t    0.1237\t    269.33\n",
      " 68\t    0.1478\t    0.0229\t    0.0238\t    0.1251\t    272.19\n",
      " 69\t    0.1474\t    0.0232\t    0.0235\t    0.1266\t    275.02\n",
      " 70\t    0.1470\t    0.0234\t    0.0232\t    0.1281\t    277.81\n",
      " 71\t    0.1466\t    0.0236\t    0.0229\t    0.1295\t    280.57\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 72\t    0.1461\t    0.0238\t    0.0227\t    0.1310\t    283.29\n",
      " 73\t    0.1458\t    0.0241\t    0.0224\t    0.1325\t    285.98\n",
      " 74\t    0.1454\t    0.0243\t    0.0221\t    0.1339\t    288.64\n",
      " 75\t    0.1450\t    0.0245\t    0.0219\t    0.1354\t    291.27\n",
      " 76\t    0.1446\t    0.0247\t    0.0216\t    0.1368\t    293.87\n",
      " 77\t    0.1442\t    0.0249\t    0.0213\t    0.1383\t    296.43\n",
      " 78\t    0.1439\t    0.0251\t    0.0211\t    0.1397\t    298.97\n",
      " 79\t    0.1435\t    0.0253\t    0.0209\t    0.1411\t    301.48\n",
      " 80\t    0.1431\t    0.0256\t    0.0206\t    0.1426\t    303.96\n",
      " 81\t    0.1428\t    0.0258\t    0.0204\t    0.1440\t    306.41\n",
      " 82\t    0.1424\t    0.0260\t    0.0202\t    0.1454\t    308.83\n",
      " 83\t    0.1421\t    0.0262\t    0.0199\t    0.1468\t    311.23\n",
      " 84\t    0.1418\t    0.0264\t    0.0197\t    0.1482\t    313.60\n",
      " 85\t    0.1414\t    0.0265\t    0.0195\t    0.1497\t    315.95\n",
      " 86\t    0.1411\t    0.0267\t    0.0193\t    0.1511\t    318.27\n",
      " 87\t    0.1408\t    0.0269\t    0.0191\t    0.1525\t    320.56\n",
      " 88\t    0.1405\t    0.0271\t    0.0189\t    0.1539\t    322.83\n",
      " 89\t    0.1402\t    0.0273\t    0.0187\t    0.1553\t    325.08\n",
      " 90\t    0.1398\t    0.0275\t    0.0185\t    0.1567\t    327.31\n",
      " 91\t    0.1395\t    0.0277\t    0.0183\t    0.1581\t    329.51\n",
      " 92\t    0.1392\t    0.0279\t    0.0181\t    0.1595\t    331.69\n",
      " 93\t    0.1389\t    0.0280\t    0.0179\t    0.1609\t    333.84\n",
      " 94\t    0.1386\t    0.0282\t    0.0178\t    0.1622\t    335.98\n",
      " 95\t    0.1384\t    0.0284\t    0.0176\t    0.1636\t    338.09\n",
      " 96\t    0.1381\t    0.0286\t    0.0174\t    0.1650\t    340.19\n",
      " 97\t    0.1378\t    0.0287\t    0.0172\t    0.1664\t    342.26\n",
      " 98\t    0.1375\t    0.0289\t    0.0171\t    0.1678\t    344.31\n",
      " 99\t    0.1372\t    0.0291\t    0.0169\t    0.1691\t    346.35\n",
      "100\t    0.1370\t    0.0292\t    0.0167\t    0.1705\t    348.36\n",
      "101\t    0.1367\t    0.0294\t    0.0166\t    0.1719\t    350.36\n",
      "102\t    0.1364\t    0.0296\t    0.0164\t    0.1732\t    352.33\n",
      "103\t    0.1361\t    0.0297\t    0.0163\t    0.1746\t    354.29\n",
      "104\t    0.1359\t    0.0299\t    0.0161\t    0.1760\t    356.23\n",
      "105\t    0.1356\t    0.0300\t    0.0160\t    0.1773\t    358.15\n",
      "106\t    0.1354\t    0.0302\t    0.0158\t    0.1787\t    360.06\n",
      "107\t    0.1351\t    0.0304\t    0.0157\t    0.1800\t    361.95\n",
      "108\t    0.1349\t    0.0305\t    0.0156\t    0.1814\t    363.82\n",
      "109\t    0.1346\t    0.0307\t    0.0154\t    0.1827\t    365.67\n",
      "110\t    0.1344\t    0.0308\t    0.0153\t    0.1841\t    367.51\n",
      "111\t    0.1341\t    0.0310\t    0.0152\t    0.1854\t    369.33\n",
      "112\t    0.1339\t    0.0311\t    0.0150\t    0.1867\t    371.14\n",
      "113\t    0.1336\t    0.0313\t    0.0149\t    0.1881\t    372.93\n",
      "114\t    0.1334\t    0.0314\t    0.0148\t    0.1894\t    374.71\n",
      "115\t    0.1332\t    0.0316\t    0.0146\t    0.1907\t    376.47\n",
      "116\t    0.1329\t    0.0317\t    0.0145\t    0.1921\t    378.21\n",
      "117\t    0.1327\t    0.0319\t    0.0144\t    0.1934\t    379.95\n",
      "118\t    0.1325\t    0.0320\t    0.0143\t    0.1947\t    381.66\n",
      "119\t    0.1323\t    0.0321\t    0.0142\t    0.1960\t    383.37\n",
      "120\t    0.1320\t    0.0323\t    0.0140\t    0.1974\t    385.06\n",
      "121\t    0.1318\t    0.0324\t    0.0139\t    0.1987\t    386.73\n",
      "122\t    0.1316\t    0.0326\t    0.0138\t    0.2000\t    388.40\n",
      "123\t    0.1314\t    0.0327\t    0.0137\t    0.2013\t    390.04\n",
      "124\t    0.1312\t    0.0328\t    0.0136\t    0.2026\t    391.68\n",
      "125\t    0.1310\t    0.0330\t    0.0135\t    0.2039\t    393.30\n",
      "126\t    0.1307\t    0.0331\t    0.0134\t    0.2052\t    394.92\n",
      "127\t    0.1305\t    0.0332\t    0.0133\t    0.2065\t    396.51\n",
      "128\t    0.1303\t    0.0334\t    0.0132\t    0.2078\t    398.10\n",
      "129\t    0.1301\t    0.0335\t    0.0131\t    0.2091\t    399.68\n",
      "130\t    0.1299\t    0.0336\t    0.0130\t    0.2104\t    401.24\n",
      "131\t    0.1297\t    0.0338\t    0.0129\t    0.2117\t    402.79\n",
      "132\t    0.1295\t    0.0339\t    0.0128\t    0.2130\t    404.33\n",
      "133\t    0.1293\t    0.0340\t    0.0127\t    0.2143\t    405.86\n",
      "134\t    0.1291\t    0.0341\t    0.0126\t    0.2156\t    407.37\n",
      "135\t    0.1289\t    0.0343\t    0.0125\t    0.2169\t    408.88\n",
      "136\t    0.1287\t    0.0344\t    0.0124\t    0.2182\t    410.37\n",
      "137\t    0.1285\t    0.0345\t    0.0123\t    0.2195\t    411.86\n",
      "138\t    0.1284\t    0.0346\t    0.0122\t    0.2208\t    413.33\n",
      "139\t    0.1282\t    0.0348\t    0.0122\t    0.2221\t    414.79\n",
      "140\t    0.1280\t    0.0349\t    0.0121\t    0.2233\t    416.24\n",
      "141\t    0.1278\t    0.0350\t    0.0120\t    0.2246\t    417.69\n",
      "142\t    0.1276\t    0.0351\t    0.0119\t    0.2259\t    419.12\n",
      "143\t    0.1274\t    0.0352\t    0.0118\t    0.2272\t    420.54\n",
      "144\t    0.1272\t    0.0353\t    0.0117\t    0.2284\t    421.95\n",
      "145\t    0.1271\t    0.0355\t    0.0117\t    0.2297\t    423.36\n",
      "146\t    0.1269\t    0.0356\t    0.0116\t    0.2310\t    424.75\n",
      "147\t    0.1267\t    0.0357\t    0.0115\t    0.2322\t    426.13\n",
      "148\t    0.1265\t    0.0358\t    0.0114\t    0.2335\t    427.51\n",
      "149\t    0.1264\t    0.0359\t    0.0113\t    0.2348\t    428.88\n",
      "150\t    0.1262\t    0.0360\t    0.0113\t    0.2360\t    430.23\n",
      "151\t    0.1260\t    0.0361\t    0.0112\t    0.2373\t    431.58\n",
      "152\t    0.1258\t    0.0363\t    0.0111\t    0.2385\t    432.92\n",
      "153\t    0.1257\t    0.0364\t    0.0111\t    0.2398\t    434.25\n",
      "154\t    0.1255\t    0.0365\t    0.0110\t    0.2411\t    435.57\n",
      "155\t    0.1253\t    0.0366\t    0.0109\t    0.2423\t    436.88\n",
      "156\t    0.1252\t    0.0367\t    0.0108\t    0.2436\t    438.19\n",
      "157\t    0.1250\t    0.0368\t    0.0108\t    0.2448\t    439.49\n",
      "158\t    0.1249\t    0.0369\t    0.0107\t    0.2461\t    440.77\n",
      "159\t    0.1247\t    0.0370\t    0.0106\t    0.2473\t    442.05\n",
      "160\t    0.1245\t    0.0371\t    0.0106\t    0.2486\t    443.33\n",
      "161\t    0.1244\t    0.0372\t    0.0105\t    0.2498\t    444.59\n",
      "162\t    0.1242\t    0.0373\t    0.0104\t    0.2510\t    445.85\n",
      "163\t    0.1241\t    0.0374\t    0.0104\t    0.2523\t    447.10\n",
      "164\t    0.1239\t    0.0375\t    0.0103\t    0.2535\t    448.34\n",
      "165\t    0.1237\t    0.0376\t    0.0103\t    0.2548\t    449.57\n",
      "166\t    0.1236\t    0.0377\t    0.0102\t    0.2560\t    450.80\n",
      "167\t    0.1234\t    0.0378\t    0.0101\t    0.2572\t    452.02\n",
      "168\t    0.1233\t    0.0379\t    0.0101\t    0.2585\t    453.23\n",
      "169\t    0.1231\t    0.0380\t    0.0100\t    0.2597\t    454.44\n",
      "170\t    0.1230\t    0.0381\t    0.0100\t    0.2609\t    455.63\n",
      "171\t    0.1228\t    0.0382\t    0.0099\t    0.2621\t    456.83\n",
      "172\t    0.1227\t    0.0383\t    0.0098\t    0.2634\t    458.01\n",
      "173\t    0.1225\t    0.0384\t    0.0098\t    0.2646\t    459.19\n",
      "174\t    0.1224\t    0.0385\t    0.0097\t    0.2658\t    460.36\n",
      "175\t    0.1222\t    0.0386\t    0.0097\t    0.2670\t    461.52\n",
      "176\t    0.1221\t    0.0387\t    0.0096\t    0.2683\t    462.68\n",
      "177\t    0.1220\t    0.0388\t    0.0096\t    0.2695\t    463.83\n",
      "178\t    0.1218\t    0.0389\t    0.0095\t    0.2707\t    464.97\n",
      "179\t    0.1217\t    0.0390\t    0.0095\t    0.2719\t    466.11\n",
      "180\t    0.1215\t    0.0391\t    0.0094\t    0.2731\t    467.24\n",
      "181\t    0.1214\t    0.0392\t    0.0093\t    0.2743\t    468.37\n",
      "182\t    0.1212\t    0.0393\t    0.0093\t    0.2756\t    469.49\n",
      "183\t    0.1211\t    0.0394\t    0.0092\t    0.2768\t    470.60\n",
      "184\t    0.1210\t    0.0395\t    0.0092\t    0.2780\t    471.71\n",
      "185\t    0.1208\t    0.0396\t    0.0091\t    0.2792\t    472.81\n",
      "186\t    0.1207\t    0.0397\t    0.0091\t    0.2804\t    473.90\n",
      "187\t    0.1206\t    0.0397\t    0.0090\t    0.2816\t    474.99\n",
      "188\t    0.1204\t    0.0398\t    0.0090\t    0.2828\t    476.08\n",
      "189\t    0.1203\t    0.0399\t    0.0089\t    0.2840\t    477.15\n",
      "190\t    0.1202\t    0.0400\t    0.0089\t    0.2852\t    478.23\n",
      "191\t    0.1200\t    0.0401\t    0.0089\t    0.2864\t    479.29\n",
      "192\t    0.1199\t    0.0402\t    0.0088\t    0.2876\t    480.35\n",
      "193\t    0.1198\t    0.0403\t    0.0088\t    0.2888\t    481.41\n",
      "194\t    0.1196\t    0.0404\t    0.0087\t    0.2900\t    482.46\n",
      "195\t    0.1195\t    0.0405\t    0.0087\t    0.2912\t    483.50\n",
      "196\t    0.1194\t    0.0405\t    0.0086\t    0.2924\t    484.54\n",
      "197\t    0.1192\t    0.0406\t    0.0086\t    0.2936\t    485.58\n",
      "198\t    0.1191\t    0.0407\t    0.0085\t    0.2948\t    486.60\n",
      "199\t    0.1190\t    0.0408\t    0.0085\t    0.2960\t    487.63\n",
      "200\t    0.1189\t    0.0409\t    0.0085\t    0.2971\t    488.65\n",
      "201\t    0.1187\t    0.0410\t    0.0084\t    0.2983\t    489.66\n",
      "202\t    0.1186\t    0.0410\t    0.0084\t    0.2995\t    490.67\n",
      "203\t    0.1185\t    0.0411\t    0.0083\t    0.3007\t    491.67\n",
      "204\t    0.1184\t    0.0412\t    0.0083\t    0.3019\t    492.67\n",
      "205\t    0.1183\t    0.0413\t    0.0082\t    0.3031\t    493.66\n",
      "206\t    0.1181\t    0.0414\t    0.0082\t    0.3043\t    494.65\n",
      "207\t    0.1180\t    0.0415\t    0.0082\t    0.3054\t    495.63\n",
      "208\t    0.1179\t    0.0415\t    0.0081\t    0.3066\t    496.61\n",
      "209\t    0.1178\t    0.0416\t    0.0081\t    0.3078\t    497.59\n",
      "210\t    0.1177\t    0.0417\t    0.0081\t    0.3090\t    498.56\n",
      "211\t    0.1175\t    0.0418\t    0.0080\t    0.3101\t    499.52\n",
      "212\t    0.1174\t    0.0419\t    0.0080\t    0.3113\t    500.48\n",
      "213\t    0.1173\t    0.0419\t    0.0079\t    0.3125\t    501.44\n",
      "214\t    0.1172\t    0.0420\t    0.0079\t    0.3137\t    502.39\n",
      "215\t    0.1171\t    0.0421\t    0.0079\t    0.3148\t    503.34\n",
      "216\t    0.1170\t    0.0422\t    0.0078\t    0.3160\t    504.28\n",
      "217\t    0.1168\t    0.0423\t    0.0078\t    0.3172\t    505.22\n",
      "218\t    0.1167\t    0.0423\t    0.0078\t    0.3183\t    506.15\n",
      "219\t    0.1166\t    0.0424\t    0.0077\t    0.3195\t    507.08\n",
      "220\t    0.1165\t    0.0425\t    0.0077\t    0.3207\t    508.01\n",
      "221\t    0.1164\t    0.0426\t    0.0076\t    0.3218\t    508.93\n",
      "222\t    0.1163\t    0.0426\t    0.0076\t    0.3230\t    509.85\n",
      "223\t    0.1162\t    0.0427\t    0.0076\t    0.3242\t    510.76\n",
      "224\t    0.1160\t    0.0428\t    0.0075\t    0.3253\t    511.67\n",
      "225\t    0.1159\t    0.0429\t    0.0075\t    0.3265\t    512.57\n",
      "226\t    0.1158\t    0.0429\t    0.0075\t    0.3276\t    513.47\n",
      "227\t    0.1157\t    0.0430\t    0.0074\t    0.3288\t    514.37\n",
      "228\t    0.1156\t    0.0431\t    0.0074\t    0.3299\t    515.26\n",
      "229\t    0.1154\t    0.0432\t    0.0074\t    0.3311\t    516.16\n",
      "230\t    0.1153\t    0.0432\t    0.0074\t    0.3322\t    517.04\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "231\t    0.1152\t    0.0433\t    0.0073\t    0.3334\t    517.92\n",
      "232\t    0.1151\t    0.0434\t    0.0073\t    0.3346\t    518.80\n",
      "233\t    0.1150\t    0.0435\t    0.0073\t    0.3357\t    519.68\n",
      "234\t    0.1149\t    0.0435\t    0.0072\t    0.3368\t    520.55\n",
      "235\t    0.1148\t    0.0436\t    0.0072\t    0.3380\t    521.41\n",
      "236\t    0.1147\t    0.0437\t    0.0072\t    0.3391\t    522.28\n",
      "237\t    0.1146\t    0.0437\t    0.0071\t    0.3403\t    523.13\n",
      "238\t    0.1145\t    0.0438\t    0.0071\t    0.3414\t    523.99\n",
      "239\t    0.1144\t    0.0439\t    0.0071\t    0.3426\t    524.84\n",
      "240\t    0.1143\t    0.0440\t    0.0070\t    0.3437\t    525.69\n",
      "241\t    0.1142\t    0.0440\t    0.0070\t    0.3449\t    526.53\n",
      "242\t    0.1141\t    0.0441\t    0.0070\t    0.3460\t    527.38\n",
      "243\t    0.1140\t    0.0442\t    0.0070\t    0.3471\t    528.21\n",
      "244\t    0.1139\t    0.0442\t    0.0069\t    0.3483\t    529.05\n",
      "245\t    0.1138\t    0.0443\t    0.0069\t    0.3494\t    529.88\n",
      "246\t    0.1137\t    0.0444\t    0.0069\t    0.3506\t    530.71\n",
      "247\t    0.1136\t    0.0444\t    0.0068\t    0.3517\t    531.53\n",
      "248\t    0.1135\t    0.0445\t    0.0068\t    0.3528\t    532.35\n",
      "249\t    0.1134\t    0.0446\t    0.0068\t    0.3540\t    533.17\n",
      "250\t    0.1133\t    0.0446\t    0.0068\t    0.3551\t    533.98\n",
      "251\t    0.1132\t    0.0447\t    0.0067\t    0.3562\t    534.79\n",
      "252\t    0.1131\t    0.0448\t    0.0067\t    0.3574\t    535.60\n",
      "253\t    0.1130\t    0.0448\t    0.0067\t    0.3585\t    536.40\n",
      "254\t    0.1129\t    0.0449\t    0.0066\t    0.3596\t    537.21\n",
      "255\t    0.1128\t    0.0450\t    0.0066\t    0.3607\t    538.00\n",
      "256\t    0.1127\t    0.0450\t    0.0066\t    0.3619\t    538.80\n",
      "257\t    0.1126\t    0.0451\t    0.0066\t    0.3630\t    539.59\n",
      "258\t    0.1125\t    0.0452\t    0.0065\t    0.3641\t    540.38\n",
      "259\t    0.1124\t    0.0452\t    0.0065\t    0.3652\t    541.16\n",
      "260\t    0.1123\t    0.0453\t    0.0065\t    0.3664\t    541.95\n",
      "261\t    0.1122\t    0.0454\t    0.0065\t    0.3675\t    542.73\n",
      "262\t    0.1122\t    0.0454\t    0.0064\t    0.3686\t    543.50\n",
      "263\t    0.1121\t    0.0455\t    0.0064\t    0.3697\t    544.28\n",
      "264\t    0.1120\t    0.0456\t    0.0064\t    0.3708\t    545.05\n",
      "265\t    0.1119\t    0.0456\t    0.0064\t    0.3720\t    545.81\n",
      "266\t    0.1118\t    0.0457\t    0.0063\t    0.3731\t    546.58\n",
      "267\t    0.1117\t    0.0457\t    0.0063\t    0.3742\t    547.34\n",
      "268\t    0.1116\t    0.0458\t    0.0063\t    0.3753\t    548.10\n",
      "269\t    0.1115\t    0.0459\t    0.0063\t    0.3764\t    548.86\n",
      "270\t    0.1114\t    0.0459\t    0.0062\t    0.3775\t    549.61\n",
      "271\t    0.1113\t    0.0460\t    0.0062\t    0.3787\t    550.36\n",
      "272\t    0.1113\t    0.0461\t    0.0062\t    0.3798\t    551.11\n",
      "273\t    0.1112\t    0.0461\t    0.0062\t    0.3809\t    551.85\n",
      "274\t    0.1111\t    0.0462\t    0.0062\t    0.3820\t    552.59\n",
      "275\t    0.1110\t    0.0462\t    0.0061\t    0.3831\t    553.33\n",
      "276\t    0.1109\t    0.0463\t    0.0061\t    0.3842\t    554.07\n",
      "277\t    0.1108\t    0.0464\t    0.0061\t    0.3853\t    554.80\n",
      "278\t    0.1107\t    0.0464\t    0.0061\t    0.3864\t    555.54\n",
      "279\t    0.1106\t    0.0465\t    0.0060\t    0.3875\t    556.27\n",
      "280\t    0.1106\t    0.0465\t    0.0060\t    0.3886\t    556.99\n",
      "281\t    0.1105\t    0.0466\t    0.0060\t    0.3897\t    557.71\n",
      "282\t    0.1104\t    0.0467\t    0.0060\t    0.3908\t    558.44\n",
      "283\t    0.1103\t    0.0467\t    0.0060\t    0.3919\t    559.15\n",
      "284\t    0.1102\t    0.0468\t    0.0059\t    0.3931\t    559.87\n",
      "285\t    0.1101\t    0.0468\t    0.0059\t    0.3942\t    560.58\n",
      "286\t    0.1100\t    0.0469\t    0.0059\t    0.3953\t    561.29\n",
      "287\t    0.1100\t    0.0470\t    0.0059\t    0.3964\t    562.00\n",
      "288\t    0.1099\t    0.0470\t    0.0059\t    0.3974\t    562.71\n",
      "289\t    0.1098\t    0.0471\t    0.0058\t    0.3985\t    563.41\n",
      "290\t    0.1097\t    0.0471\t    0.0058\t    0.3996\t    564.11\n",
      "291\t    0.1096\t    0.0472\t    0.0058\t    0.4007\t    564.81\n",
      "292\t    0.1095\t    0.0473\t    0.0058\t    0.4018\t    565.51\n",
      "293\t    0.1095\t    0.0473\t    0.0058\t    0.4029\t    566.20\n",
      "294\t    0.1094\t    0.0474\t    0.0057\t    0.4040\t    566.89\n",
      "295\t    0.1093\t    0.0474\t    0.0057\t    0.4051\t    567.58\n",
      "296\t    0.1092\t    0.0475\t    0.0057\t    0.4062\t    568.27\n",
      "297\t    0.1091\t    0.0475\t    0.0057\t    0.4073\t    568.95\n",
      "298\t    0.1091\t    0.0476\t    0.0057\t    0.4084\t    569.63\n",
      "299\t    0.1090\t    0.0477\t    0.0056\t    0.4095\t    570.31\n",
      "300\t    0.1089\t    0.0477\t    0.0056\t    0.4106\t    570.99\n",
      "301\t    0.1088\t    0.0478\t    0.0056\t    0.4117\t    571.67\n",
      "302\t    0.1087\t    0.0478\t    0.0056\t    0.4127\t    572.34\n",
      "303\t    0.1087\t    0.0479\t    0.0056\t    0.4138\t    573.01\n",
      "304\t    0.1086\t    0.0479\t    0.0055\t    0.4149\t    573.68\n",
      "305\t    0.1085\t    0.0480\t    0.0055\t    0.4160\t    574.34\n",
      "306\t    0.1084\t    0.0480\t    0.0055\t    0.4171\t    575.01\n",
      "307\t    0.1083\t    0.0481\t    0.0055\t    0.4182\t    575.67\n",
      "308\t    0.1083\t    0.0482\t    0.0055\t    0.4192\t    576.33\n",
      "309\t    0.1082\t    0.0482\t    0.0055\t    0.4203\t    576.99\n",
      "310\t    0.1081\t    0.0483\t    0.0054\t    0.4214\t    577.64\n",
      "311\t    0.1080\t    0.0483\t    0.0054\t    0.4225\t    578.30\n",
      "312\t    0.1080\t    0.0484\t    0.0054\t    0.4236\t    578.95\n",
      "313\t    0.1079\t    0.0484\t    0.0054\t    0.4246\t    579.60\n",
      "314\t    0.1078\t    0.0485\t    0.0054\t    0.4257\t    580.24\n",
      "315\t    0.1077\t    0.0485\t    0.0053\t    0.4268\t    580.89\n",
      "316\t    0.1077\t    0.0486\t    0.0053\t    0.4279\t    581.53\n",
      "317\t    0.1076\t    0.0486\t    0.0053\t    0.4290\t    582.17\n",
      "318\t    0.1075\t    0.0487\t    0.0053\t    0.4300\t    582.81\n",
      "319\t    0.1074\t    0.0487\t    0.0053\t    0.4311\t    583.45\n",
      "320\t    0.1074\t    0.0488\t    0.0053\t    0.4322\t    584.08\n",
      "321\t    0.1073\t    0.0488\t    0.0052\t    0.4332\t    584.72\n",
      "322\t    0.1072\t    0.0489\t    0.0052\t    0.4343\t    585.35\n",
      "323\t    0.1071\t    0.0489\t    0.0052\t    0.4354\t    585.98\n",
      "324\t    0.1071\t    0.0490\t    0.0052\t    0.4365\t    586.60\n",
      "325\t    0.1070\t    0.0491\t    0.0052\t    0.4375\t    587.23\n",
      "326\t    0.1069\t    0.0491\t    0.0052\t    0.4386\t    587.85\n",
      "327\t    0.1068\t    0.0492\t    0.0051\t    0.4397\t    588.47\n",
      "328\t    0.1068\t    0.0492\t    0.0051\t    0.4407\t    589.09\n",
      "329\t    0.1067\t    0.0493\t    0.0051\t    0.4418\t    589.71\n",
      "330\t    0.1066\t    0.0493\t    0.0051\t    0.4429\t    590.32\n",
      "331\t    0.1066\t    0.0494\t    0.0051\t    0.4439\t    590.94\n",
      "332\t    0.1065\t    0.0494\t    0.0051\t    0.4450\t    591.55\n",
      "333\t    0.1064\t    0.0495\t    0.0051\t    0.4461\t    592.16\n",
      "334\t    0.1063\t    0.0495\t    0.0050\t    0.4471\t    592.77\n",
      "335\t    0.1063\t    0.0496\t    0.0050\t    0.4482\t    593.37\n",
      "336\t    0.1062\t    0.0496\t    0.0050\t    0.4492\t    593.98\n",
      "337\t    0.1061\t    0.0497\t    0.0050\t    0.4503\t    594.58\n",
      "338\t    0.1061\t    0.0497\t    0.0050\t    0.4514\t    595.18\n",
      "339\t    0.1060\t    0.0498\t    0.0050\t    0.4524\t    595.78\n",
      "340\t    0.1059\t    0.0498\t    0.0050\t    0.4535\t    596.38\n",
      "341\t    0.1058\t    0.0499\t    0.0049\t    0.4545\t    596.97\n",
      "342\t    0.1058\t    0.0499\t    0.0049\t    0.4556\t    597.57\n",
      "343\t    0.1057\t    0.0500\t    0.0049\t    0.4567\t    598.16\n",
      "344\t    0.1056\t    0.0500\t    0.0049\t    0.4577\t    598.75\n",
      "345\t    0.1056\t    0.0501\t    0.0049\t    0.4588\t    599.34\n",
      "346\t    0.1055\t    0.0501\t    0.0049\t    0.4598\t    599.92\n",
      "347\t    0.1054\t    0.0502\t    0.0048\t    0.4609\t    600.51\n",
      "348\t    0.1054\t    0.0502\t    0.0048\t    0.4619\t    601.09\n",
      "349\t    0.1053\t    0.0502\t    0.0048\t    0.4630\t    601.67\n",
      "350\t    0.1052\t    0.0503\t    0.0048\t    0.4640\t    602.25\n",
      "351\t    0.1052\t    0.0503\t    0.0048\t    0.4651\t    602.83\n",
      "352\t    0.1051\t    0.0504\t    0.0048\t    0.4661\t    603.41\n",
      "353\t    0.1050\t    0.0504\t    0.0048\t    0.4672\t    603.98\n",
      "354\t    0.1050\t    0.0505\t    0.0048\t    0.4682\t    604.56\n",
      "355\t    0.1049\t    0.0505\t    0.0047\t    0.4693\t    605.13\n",
      "356\t    0.1048\t    0.0506\t    0.0047\t    0.4703\t    605.70\n",
      "357\t    0.1048\t    0.0506\t    0.0047\t    0.4714\t    606.27\n",
      "358\t    0.1047\t    0.0507\t    0.0047\t    0.4724\t    606.83\n",
      "359\t    0.1046\t    0.0507\t    0.0047\t    0.4735\t    607.40\n",
      "360\t    0.1046\t    0.0508\t    0.0047\t    0.4745\t    607.96\n",
      "361\t    0.1045\t    0.0508\t    0.0047\t    0.4756\t    608.53\n",
      "362\t    0.1044\t    0.0509\t    0.0046\t    0.4766\t    609.09\n",
      "363\t    0.1044\t    0.0509\t    0.0046\t    0.4777\t    609.65\n",
      "364\t    0.1043\t    0.0510\t    0.0046\t    0.4787\t    610.20\n",
      "365\t    0.1042\t    0.0510\t    0.0046\t    0.4797\t    610.76\n",
      "366\t    0.1042\t    0.0510\t    0.0046\t    0.4808\t    611.31\n",
      "367\t    0.1041\t    0.0511\t    0.0046\t    0.4818\t    611.87\n",
      "368\t    0.1040\t    0.0511\t    0.0046\t    0.4829\t    612.42\n",
      "369\t    0.1040\t    0.0512\t    0.0046\t    0.4839\t    612.97\n",
      "370\t    0.1039\t    0.0512\t    0.0045\t    0.4849\t    613.52\n",
      "371\t    0.1039\t    0.0513\t    0.0045\t    0.4860\t    614.06\n",
      "372\t    0.1038\t    0.0513\t    0.0045\t    0.4870\t    614.61\n",
      "373\t    0.1037\t    0.0514\t    0.0045\t    0.4880\t    615.15\n",
      "374\t    0.1037\t    0.0514\t    0.0045\t    0.4891\t    615.70\n",
      "375\t    0.1036\t    0.0515\t    0.0045\t    0.4901\t    616.24\n",
      "376\t    0.1035\t    0.0515\t    0.0045\t    0.4912\t    616.78\n",
      "377\t    0.1035\t    0.0515\t    0.0045\t    0.4922\t    617.32\n",
      "378\t    0.1034\t    0.0516\t    0.0044\t    0.4932\t    617.85\n",
      "379\t    0.1034\t    0.0516\t    0.0044\t    0.4943\t    618.39\n",
      "380\t    0.1033\t    0.0517\t    0.0044\t    0.4953\t    618.92\n",
      "381\t    0.1032\t    0.0517\t    0.0044\t    0.4963\t    619.45\n",
      "382\t    0.1032\t    0.0518\t    0.0044\t    0.4974\t    619.99\n",
      "383\t    0.1031\t    0.0518\t    0.0044\t    0.4984\t    620.52\n",
      "384\t    0.1030\t    0.0519\t    0.0044\t    0.4994\t    621.04\n",
      "385\t    0.1030\t    0.0519\t    0.0044\t    0.5004\t    621.57\n",
      "386\t    0.1029\t    0.0519\t    0.0044\t    0.5015\t    622.10\n",
      "387\t    0.1029\t    0.0520\t    0.0043\t    0.5025\t    622.62\n",
      "388\t    0.1028\t    0.0520\t    0.0043\t    0.5035\t    623.14\n",
      "389\t    0.1027\t    0.0521\t    0.0043\t    0.5046\t    623.66\n",
      "390\t    0.1027\t    0.0521\t    0.0043\t    0.5056\t    624.18\n",
      "391\t    0.1026\t    0.0522\t    0.0043\t    0.5066\t    624.70\n",
      "392\t    0.1026\t    0.0522\t    0.0043\t    0.5076\t    625.22\n",
      "393\t    0.1025\t    0.0522\t    0.0043\t    0.5087\t    625.74\n",
      "394\t    0.1024\t    0.0523\t    0.0043\t    0.5097\t    626.25\n",
      "395\t    0.1024\t    0.0523\t    0.0043\t    0.5107\t    626.77\n",
      "396\t    0.1023\t    0.0524\t    0.0042\t    0.5117\t    627.28\n",
      "397\t    0.1023\t    0.0524\t    0.0042\t    0.5127\t    627.79\n",
      "398\t    0.1022\t    0.0525\t    0.0042\t    0.5138\t    628.30\n",
      "399\t    0.1022\t    0.0525\t    0.0042\t    0.5148\t    628.81\n",
      "400\t    0.1021\t    0.0525\t    0.0042\t    0.5158\t    629.31\n",
      "401\t    0.1020\t    0.0526\t    0.0042\t    0.5168\t    629.82\n",
      "402\t    0.1020\t    0.0526\t    0.0042\t    0.5179\t    630.32\n",
      "403\t    0.1019\t    0.0527\t    0.0042\t    0.5189\t    630.83\n",
      "404\t    0.1019\t    0.0527\t    0.0042\t    0.5199\t    631.33\n",
      "405\t    0.1018\t    0.0527\t    0.0041\t    0.5209\t    631.83\n",
      "406\t    0.1017\t    0.0528\t    0.0041\t    0.5219\t    632.33\n",
      "407\t    0.1017\t    0.0528\t    0.0041\t    0.5229\t    632.83\n",
      "408\t    0.1016\t    0.0529\t    0.0041\t    0.5240\t    633.33\n",
      "409\t    0.1016\t    0.0529\t    0.0041\t    0.5250\t    633.82\n",
      "410\t    0.1015\t    0.0530\t    0.0041\t    0.5260\t    634.32\n",
      "411\t    0.1015\t    0.0530\t    0.0041\t    0.5270\t    634.81\n",
      "412\t    0.1014\t    0.0530\t    0.0041\t    0.5280\t    635.30\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "413\t    0.1013\t    0.0531\t    0.0041\t    0.5290\t    635.79\n",
      "414\t    0.1013\t    0.0531\t    0.0041\t    0.5300\t    636.28\n",
      "415\t    0.1012\t    0.0532\t    0.0040\t    0.5311\t    636.77\n",
      "416\t    0.1012\t    0.0532\t    0.0040\t    0.5321\t    637.26\n",
      "417\t    0.1011\t    0.0532\t    0.0040\t    0.5331\t    637.75\n",
      "418\t    0.1011\t    0.0533\t    0.0040\t    0.5341\t    638.23\n",
      "419\t    0.1010\t    0.0533\t    0.0040\t    0.5351\t    638.71\n",
      "420\t    0.1010\t    0.0534\t    0.0040\t    0.5361\t    639.20\n",
      "421\t    0.1009\t    0.0534\t    0.0040\t    0.5371\t    639.68\n",
      "422\t    0.1008\t    0.0534\t    0.0040\t    0.5381\t    640.16\n",
      "423\t    0.1008\t    0.0535\t    0.0040\t    0.5391\t    640.64\n",
      "424\t    0.1007\t    0.0535\t    0.0040\t    0.5401\t    641.12\n",
      "425\t    0.1007\t    0.0536\t    0.0040\t    0.5411\t    641.59\n",
      "426\t    0.1006\t    0.0536\t    0.0039\t    0.5421\t    642.07\n",
      "427\t    0.1006\t    0.0536\t    0.0039\t    0.5432\t    642.54\n",
      "428\t    0.1005\t    0.0537\t    0.0039\t    0.5442\t    643.02\n",
      "429\t    0.1005\t    0.0537\t    0.0039\t    0.5452\t    643.49\n",
      "430\t    0.1004\t    0.0538\t    0.0039\t    0.5462\t    643.96\n",
      "431\t    0.1004\t    0.0538\t    0.0039\t    0.5472\t    644.43\n",
      "432\t    0.1003\t    0.0538\t    0.0039\t    0.5482\t    644.90\n",
      "433\t    0.1003\t    0.0539\t    0.0039\t    0.5492\t    645.37\n",
      "434\t    0.1002\t    0.0539\t    0.0039\t    0.5502\t    645.84\n",
      "435\t    0.1001\t    0.0539\t    0.0039\t    0.5512\t    646.30\n",
      "436\t    0.1001\t    0.0540\t    0.0039\t    0.5522\t    646.77\n",
      "437\t    0.1000\t    0.0540\t    0.0038\t    0.5532\t    647.23\n",
      "438\t    0.1000\t    0.0541\t    0.0038\t    0.5542\t    647.70\n",
      "439\t    0.0999\t    0.0541\t    0.0038\t    0.5552\t    648.16\n",
      "440\t    0.0999\t    0.0541\t    0.0038\t    0.5562\t    648.62\n",
      "441\t    0.0998\t    0.0542\t    0.0038\t    0.5572\t    649.08\n",
      "442\t    0.0998\t    0.0542\t    0.0038\t    0.5582\t    649.54\n",
      "443\t    0.0997\t    0.0543\t    0.0038\t    0.5592\t    649.99\n",
      "444\t    0.0997\t    0.0543\t    0.0038\t    0.5602\t    650.45\n",
      "445\t    0.0996\t    0.0543\t    0.0038\t    0.5612\t    650.91\n",
      "446\t    0.0996\t    0.0544\t    0.0038\t    0.5622\t    651.36\n",
      "447\t    0.0995\t    0.0544\t    0.0038\t    0.5631\t    651.81\n",
      "448\t    0.0995\t    0.0544\t    0.0037\t    0.5641\t    652.27\n",
      "449\t    0.0994\t    0.0545\t    0.0037\t    0.5651\t    652.72\n",
      "450\t    0.0994\t    0.0545\t    0.0037\t    0.5661\t    653.17\n",
      "451\t    0.0993\t    0.0546\t    0.0037\t    0.5671\t    653.62\n",
      "452\t    0.0993\t    0.0546\t    0.0037\t    0.5681\t    654.07\n",
      "453\t    0.0992\t    0.0546\t    0.0037\t    0.5691\t    654.51\n",
      "454\t    0.0992\t    0.0547\t    0.0037\t    0.5701\t    654.96\n",
      "455\t    0.0991\t    0.0547\t    0.0037\t    0.5711\t    655.41\n",
      "456\t    0.0991\t    0.0547\t    0.0037\t    0.5721\t    655.85\n",
      "457\t    0.0990\t    0.0548\t    0.0037\t    0.5731\t    656.29\n",
      "458\t    0.0990\t    0.0548\t    0.0037\t    0.5741\t    656.74\n",
      "459\t    0.0989\t    0.0548\t    0.0037\t    0.5750\t    657.18\n",
      "460\t    0.0989\t    0.0549\t    0.0036\t    0.5760\t    657.62\n",
      "461\t    0.0988\t    0.0549\t    0.0036\t    0.5770\t    658.06\n",
      "462\t    0.0988\t    0.0550\t    0.0036\t    0.5780\t    658.50\n",
      "463\t    0.0987\t    0.0550\t    0.0036\t    0.5790\t    658.93\n",
      "464\t    0.0987\t    0.0550\t    0.0036\t    0.5800\t    659.37\n",
      "465\t    0.0986\t    0.0551\t    0.0036\t    0.5810\t    659.81\n",
      "466\t    0.0986\t    0.0551\t    0.0036\t    0.5819\t    660.24\n",
      "467\t    0.0985\t    0.0551\t    0.0036\t    0.5829\t    660.68\n",
      "468\t    0.0985\t    0.0552\t    0.0036\t    0.5839\t    661.11\n",
      "469\t    0.0984\t    0.0552\t    0.0036\t    0.5849\t    661.54\n",
      "470\t    0.0984\t    0.0552\t    0.0036\t    0.5859\t    661.97\n",
      "471\t    0.0983\t    0.0553\t    0.0036\t    0.5869\t    662.40\n",
      "472\t    0.0983\t    0.0553\t    0.0036\t    0.5878\t    662.83\n",
      "473\t    0.0982\t    0.0553\t    0.0035\t    0.5888\t    663.26\n",
      "474\t    0.0982\t    0.0554\t    0.0035\t    0.5898\t    663.69\n",
      "475\t    0.0981\t    0.0554\t    0.0035\t    0.5908\t    664.11\n",
      "476\t    0.0981\t    0.0555\t    0.0035\t    0.5918\t    664.54\n",
      "477\t    0.0980\t    0.0555\t    0.0035\t    0.5928\t    664.96\n",
      "478\t    0.0980\t    0.0555\t    0.0035\t    0.5937\t    665.39\n",
      "479\t    0.0979\t    0.0556\t    0.0035\t    0.5947\t    665.81\n",
      "480\t    0.0979\t    0.0556\t    0.0035\t    0.5957\t    666.23\n",
      "481\t    0.0978\t    0.0556\t    0.0035\t    0.5967\t    666.65\n",
      "482\t    0.0978\t    0.0557\t    0.0035\t    0.5976\t    667.07\n",
      "483\t    0.0977\t    0.0557\t    0.0035\t    0.5986\t    667.49\n",
      "484\t    0.0977\t    0.0557\t    0.0035\t    0.5996\t    667.91\n",
      "485\t    0.0976\t    0.0558\t    0.0035\t    0.6006\t    668.33\n",
      "486\t    0.0976\t    0.0558\t    0.0035\t    0.6015\t    668.75\n",
      "487\t    0.0975\t    0.0558\t    0.0034\t    0.6025\t    669.16\n",
      "488\t    0.0975\t    0.0559\t    0.0034\t    0.6035\t    669.58\n",
      "489\t    0.0974\t    0.0559\t    0.0034\t    0.6045\t    669.99\n",
      "490\t    0.0974\t    0.0559\t    0.0034\t    0.6054\t    670.41\n",
      "491\t    0.0974\t    0.0560\t    0.0034\t    0.6064\t    670.82\n",
      "492\t    0.0973\t    0.0560\t    0.0034\t    0.6074\t    671.23\n",
      "493\t    0.0973\t    0.0560\t    0.0034\t    0.6084\t    671.64\n",
      "494\t    0.0972\t    0.0561\t    0.0034\t    0.6093\t    672.05\n",
      "495\t    0.0972\t    0.0561\t    0.0034\t    0.6103\t    672.46\n",
      "496\t    0.0971\t    0.0561\t    0.0034\t    0.6113\t    672.87\n",
      "497\t    0.0971\t    0.0562\t    0.0034\t    0.6122\t    673.28\n",
      "498\t    0.0970\t    0.0562\t    0.0034\t    0.6132\t    673.68\n",
      "499\t    0.0970\t    0.0562\t    0.0034\t    0.6142\t    674.09\n",
      "500\t    0.0969\t    0.0563\t    0.0034\t    0.6152\t    674.50\n",
      "501\t    0.0969\t    0.0563\t    0.0033\t    0.6161\t    674.90\n",
      "502\t    0.0968\t    0.0563\t    0.0033\t    0.6171\t    675.30\n",
      "503\t    0.0968\t    0.0564\t    0.0033\t    0.6181\t    675.71\n",
      "504\t    0.0968\t    0.0564\t    0.0033\t    0.6190\t    676.11\n",
      "505\t    0.0967\t    0.0564\t    0.0033\t    0.6200\t    676.51\n",
      "506\t    0.0967\t    0.0565\t    0.0033\t    0.6210\t    676.91\n",
      "507\t    0.0966\t    0.0565\t    0.0033\t    0.6219\t    677.31\n",
      "508\t    0.0966\t    0.0565\t    0.0033\t    0.6229\t    677.71\n",
      "509\t    0.0965\t    0.0566\t    0.0033\t    0.6239\t    678.11\n",
      "510\t    0.0965\t    0.0566\t    0.0033\t    0.6248\t    678.50\n",
      "511\t    0.0964\t    0.0566\t    0.0033\t    0.6258\t    678.90\n",
      "512\t    0.0964\t    0.0567\t    0.0033\t    0.6267\t    679.29\n",
      "513\t    0.0964\t    0.0567\t    0.0033\t    0.6277\t    679.69\n",
      "514\t    0.0963\t    0.0567\t    0.0033\t    0.6287\t    680.08\n",
      "515\t    0.0963\t    0.0568\t    0.0033\t    0.6296\t    680.48\n",
      "516\t    0.0962\t    0.0568\t    0.0032\t    0.6306\t    680.87\n",
      "517\t    0.0962\t    0.0568\t    0.0032\t    0.6316\t    681.26\n",
      "518\t    0.0961\t    0.0569\t    0.0032\t    0.6325\t    681.65\n",
      "519\t    0.0961\t    0.0569\t    0.0032\t    0.6335\t    682.04\n",
      "520\t    0.0960\t    0.0569\t    0.0032\t    0.6344\t    682.43\n",
      "521\t    0.0960\t    0.0570\t    0.0032\t    0.6354\t    682.82\n",
      "522\t    0.0960\t    0.0570\t    0.0032\t    0.6364\t    683.21\n",
      "523\t    0.0959\t    0.0570\t    0.0032\t    0.6373\t    683.60\n",
      "524\t    0.0959\t    0.0571\t    0.0032\t    0.6383\t    683.98\n",
      "525\t    0.0958\t    0.0571\t    0.0032\t    0.6392\t    684.37\n",
      "526\t    0.0958\t    0.0571\t    0.0032\t    0.6402\t    684.75\n",
      "527\t    0.0957\t    0.0572\t    0.0032\t    0.6411\t    685.14\n",
      "528\t    0.0957\t    0.0572\t    0.0032\t    0.6421\t    685.52\n",
      "529\t    0.0957\t    0.0572\t    0.0032\t    0.6431\t    685.90\n",
      "530\t    0.0956\t    0.0573\t    0.0032\t    0.6440\t    686.29\n",
      "531\t    0.0956\t    0.0573\t    0.0032\t    0.6450\t    686.67\n",
      "532\t    0.0955\t    0.0573\t    0.0031\t    0.6459\t    687.05\n",
      "533\t    0.0955\t    0.0573\t    0.0031\t    0.6469\t    687.43\n",
      "534\t    0.0954\t    0.0574\t    0.0031\t    0.6478\t    687.81\n",
      "535\t    0.0954\t    0.0574\t    0.0031\t    0.6488\t    688.18\n",
      "536\t    0.0954\t    0.0574\t    0.0031\t    0.6497\t    688.56\n",
      "537\t    0.0953\t    0.0575\t    0.0031\t    0.6507\t    688.94\n",
      "538\t    0.0953\t    0.0575\t    0.0031\t    0.6516\t    689.32\n",
      "539\t    0.0952\t    0.0575\t    0.0031\t    0.6526\t    689.69\n",
      "540\t    0.0952\t    0.0576\t    0.0031\t    0.6535\t    690.07\n",
      "541\t    0.0951\t    0.0576\t    0.0031\t    0.6545\t    690.44\n",
      "542\t    0.0951\t    0.0576\t    0.0031\t    0.6554\t    690.81\n",
      "543\t    0.0951\t    0.0577\t    0.0031\t    0.6564\t    691.19\n",
      "544\t    0.0950\t    0.0577\t    0.0031\t    0.6573\t    691.56\n",
      "545\t    0.0950\t    0.0577\t    0.0031\t    0.6583\t    691.93\n",
      "546\t    0.0949\t    0.0578\t    0.0031\t    0.6592\t    692.30\n",
      "547\t    0.0949\t    0.0578\t    0.0031\t    0.6602\t    692.67\n",
      "548\t    0.0948\t    0.0578\t    0.0031\t    0.6611\t    693.04\n",
      "549\t    0.0948\t    0.0578\t    0.0031\t    0.6621\t    693.41\n",
      "550\t    0.0948\t    0.0579\t    0.0030\t    0.6630\t    693.78\n",
      "551\t    0.0947\t    0.0579\t    0.0030\t    0.6640\t    694.15\n",
      "552\t    0.0947\t    0.0579\t    0.0030\t    0.6649\t    694.51\n",
      "553\t    0.0946\t    0.0580\t    0.0030\t    0.6659\t    694.88\n",
      "554\t    0.0946\t    0.0580\t    0.0030\t    0.6668\t    695.24\n",
      "555\t    0.0946\t    0.0580\t    0.0030\t    0.6678\t    695.61\n",
      "556\t    0.0945\t    0.0581\t    0.0030\t    0.6687\t    695.97\n",
      "557\t    0.0945\t    0.0581\t    0.0030\t    0.6697\t    696.34\n",
      "558\t    0.0944\t    0.0581\t    0.0030\t    0.6706\t    696.70\n",
      "559\t    0.0944\t    0.0581\t    0.0030\t    0.6715\t    697.06\n",
      "560\t    0.0944\t    0.0582\t    0.0030\t    0.6725\t    697.42\n",
      "561\t    0.0943\t    0.0582\t    0.0030\t    0.6734\t    697.78\n",
      "562\t    0.0943\t    0.0582\t    0.0030\t    0.6744\t    698.14\n",
      "563\t    0.0942\t    0.0583\t    0.0030\t    0.6753\t    698.50\n",
      "564\t    0.0942\t    0.0583\t    0.0030\t    0.6763\t    698.86\n",
      "565\t    0.0942\t    0.0583\t    0.0030\t    0.6772\t    699.22\n",
      "566\t    0.0941\t    0.0584\t    0.0030\t    0.6781\t    699.58\n",
      "567\t    0.0941\t    0.0584\t    0.0030\t    0.6791\t    699.94\n",
      "568\t    0.0940\t    0.0584\t    0.0029\t    0.6800\t    700.29\n",
      "569\t    0.0940\t    0.0584\t    0.0029\t    0.6810\t    700.65\n",
      "570\t    0.0940\t    0.0585\t    0.0029\t    0.6819\t    701.00\n",
      "571\t    0.0939\t    0.0585\t    0.0029\t    0.6828\t    701.36\n",
      "572\t    0.0939\t    0.0585\t    0.0029\t    0.6838\t    701.71\n",
      "573\t    0.0938\t    0.0586\t    0.0029\t    0.6847\t    702.06\n",
      "574\t    0.0938\t    0.0586\t    0.0029\t    0.6856\t    702.42\n",
      "575\t    0.0938\t    0.0586\t    0.0029\t    0.6866\t    702.77\n",
      "576\t    0.0937\t    0.0586\t    0.0029\t    0.6875\t    703.12\n",
      "577\t    0.0937\t    0.0587\t    0.0029\t    0.6885\t    703.47\n",
      "578\t    0.0936\t    0.0587\t    0.0029\t    0.6894\t    703.82\n",
      "579\t    0.0936\t    0.0587\t    0.0029\t    0.6903\t    704.17\n",
      "580\t    0.0936\t    0.0588\t    0.0029\t    0.6913\t    704.52\n",
      "581\t    0.0935\t    0.0588\t    0.0029\t    0.6922\t    704.87\n",
      "582\t    0.0935\t    0.0588\t    0.0029\t    0.6931\t    705.22\n",
      "583\t    0.0934\t    0.0588\t    0.0029\t    0.6941\t    705.56\n",
      "584\t    0.0934\t    0.0589\t    0.0029\t    0.6950\t    705.91\n",
      "585\t    0.0934\t    0.0589\t    0.0029\t    0.6959\t    706.26\n",
      "586\t    0.0933\t    0.0589\t    0.0029\t    0.6969\t    706.60\n",
      "587\t    0.0933\t    0.0590\t    0.0029\t    0.6978\t    706.95\n",
      "588\t    0.0933\t    0.0590\t    0.0028\t    0.6987\t    707.29\n",
      "589\t    0.0932\t    0.0590\t    0.0028\t    0.6997\t    707.63\n",
      "590\t    0.0932\t    0.0590\t    0.0028\t    0.7006\t    707.98\n",
      "591\t    0.0931\t    0.0591\t    0.0028\t    0.7015\t    708.32\n",
      "592\t    0.0931\t    0.0591\t    0.0028\t    0.7025\t    708.66\n",
      "593\t    0.0931\t    0.0591\t    0.0028\t    0.7034\t    709.00\n",
      "594\t    0.0930\t    0.0592\t    0.0028\t    0.7043\t    709.34\n",
      "595\t    0.0930\t    0.0592\t    0.0028\t    0.7052\t    709.68\n",
      "596\t    0.0930\t    0.0592\t    0.0028\t    0.7062\t    710.02\n",
      "597\t    0.0929\t    0.0592\t    0.0028\t    0.7071\t    710.36\n",
      "598\t    0.0929\t    0.0593\t    0.0028\t    0.7080\t    710.70\n",
      "599\t    0.0928\t    0.0593\t    0.0028\t    0.7090\t    711.04\n",
      "600\t    0.0928\t    0.0593\t    0.0028\t    0.7099\t    711.37\n",
      "601\t    0.0928\t    0.0594\t    0.0028\t    0.7108\t    711.71\n",
      "602\t    0.0927\t    0.0594\t    0.0028\t    0.7117\t    712.05\n",
      "603\t    0.0927\t    0.0594\t    0.0028\t    0.7127\t    712.38\n",
      "604\t    0.0927\t    0.0594\t    0.0028\t    0.7136\t    712.72\n",
      "605\t    0.0926\t    0.0595\t    0.0028\t    0.7145\t    713.05\n",
      "606\t    0.0926\t    0.0595\t    0.0028\t    0.7154\t    713.39\n",
      "607\t    0.0925\t    0.0595\t    0.0028\t    0.7164\t    713.72\n",
      "608\t    0.0925\t    0.0595\t    0.0028\t    0.7173\t    714.05\n",
      "609\t    0.0925\t    0.0596\t    0.0027\t    0.7182\t    714.39\n",
      "610\t    0.0924\t    0.0596\t    0.0027\t    0.7191\t    714.72\n",
      "611\t    0.0924\t    0.0596\t    0.0027\t    0.7201\t    715.05\n",
      "612\t    0.0924\t    0.0597\t    0.0027\t    0.7210\t    715.38\n",
      "613\t    0.0923\t    0.0597\t    0.0027\t    0.7219\t    715.71\n",
      "614\t    0.0923\t    0.0597\t    0.0027\t    0.7228\t    716.04\n",
      "615\t    0.0922\t    0.0597\t    0.0027\t    0.7238\t    716.37\n",
      "616\t    0.0922\t    0.0598\t    0.0027\t    0.7247\t    716.70\n",
      "617\t    0.0922\t    0.0598\t    0.0027\t    0.7256\t    717.02\n",
      "618\t    0.0921\t    0.0598\t    0.0027\t    0.7265\t    717.35\n",
      "619\t    0.0921\t    0.0598\t    0.0027\t    0.7274\t    717.68\n",
      "620\t    0.0921\t    0.0599\t    0.0027\t    0.7284\t    718.00\n",
      "621\t    0.0920\t    0.0599\t    0.0027\t    0.7293\t    718.33\n",
      "622\t    0.0920\t    0.0599\t    0.0027\t    0.7302\t    718.66\n",
      "623\t    0.0920\t    0.0600\t    0.0027\t    0.7311\t    718.98\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "624\t    0.0919\t    0.0600\t    0.0027\t    0.7320\t    719.30\n",
      "625\t    0.0919\t    0.0600\t    0.0027\t    0.7330\t    719.63\n",
      "626\t    0.0919\t    0.0600\t    0.0027\t    0.7339\t    719.95\n",
      "627\t    0.0918\t    0.0601\t    0.0027\t    0.7348\t    720.27\n",
      "628\t    0.0918\t    0.0601\t    0.0027\t    0.7357\t    720.60\n",
      "629\t    0.0917\t    0.0601\t    0.0027\t    0.7366\t    720.92\n",
      "630\t    0.0917\t    0.0601\t    0.0027\t    0.7375\t    721.24\n",
      "631\t    0.0917\t    0.0602\t    0.0027\t    0.7385\t    721.56\n",
      "632\t    0.0916\t    0.0602\t    0.0026\t    0.7394\t    721.88\n",
      "633\t    0.0916\t    0.0602\t    0.0026\t    0.7403\t    722.20\n",
      "634\t    0.0916\t    0.0602\t    0.0026\t    0.7412\t    722.52\n",
      "635\t    0.0915\t    0.0603\t    0.0026\t    0.7421\t    722.84\n",
      "636\t    0.0915\t    0.0603\t    0.0026\t    0.7430\t    723.16\n",
      "637\t    0.0915\t    0.0603\t    0.0026\t    0.7440\t    723.47\n",
      "638\t    0.0914\t    0.0604\t    0.0026\t    0.7449\t    723.79\n",
      "639\t    0.0914\t    0.0604\t    0.0026\t    0.7458\t    724.11\n",
      "640\t    0.0914\t    0.0604\t    0.0026\t    0.7467\t    724.42\n",
      "641\t    0.0913\t    0.0604\t    0.0026\t    0.7476\t    724.74\n",
      "642\t    0.0913\t    0.0605\t    0.0026\t    0.7485\t    725.05\n",
      "643\t    0.0913\t    0.0605\t    0.0026\t    0.7494\t    725.37\n",
      "644\t    0.0912\t    0.0605\t    0.0026\t    0.7503\t    725.68\n",
      "645\t    0.0912\t    0.0605\t    0.0026\t    0.7513\t    726.00\n",
      "646\t    0.0911\t    0.0606\t    0.0026\t    0.7522\t    726.31\n",
      "647\t    0.0911\t    0.0606\t    0.0026\t    0.7531\t    726.62\n",
      "648\t    0.0911\t    0.0606\t    0.0026\t    0.7540\t    726.93\n",
      "649\t    0.0910\t    0.0606\t    0.0026\t    0.7549\t    727.25\n",
      "650\t    0.0910\t    0.0607\t    0.0026\t    0.7558\t    727.56\n",
      "651\t    0.0910\t    0.0607\t    0.0026\t    0.7567\t    727.87\n",
      "652\t    0.0909\t    0.0607\t    0.0026\t    0.7576\t    728.18\n",
      "653\t    0.0909\t    0.0607\t    0.0026\t    0.7585\t    728.49\n",
      "654\t    0.0909\t    0.0608\t    0.0026\t    0.7594\t    728.80\n",
      "655\t    0.0908\t    0.0608\t    0.0026\t    0.7603\t    729.11\n",
      "656\t    0.0908\t    0.0608\t    0.0025\t    0.7613\t    729.41\n",
      "657\t    0.0908\t    0.0608\t    0.0025\t    0.7622\t    729.72\n",
      "658\t    0.0907\t    0.0609\t    0.0025\t    0.7631\t    730.03\n",
      "659\t    0.0907\t    0.0609\t    0.0025\t    0.7640\t    730.34\n",
      "660\t    0.0907\t    0.0609\t    0.0025\t    0.7649\t    730.64\n",
      "661\t    0.0906\t    0.0609\t    0.0025\t    0.7658\t    730.95\n",
      "662\t    0.0906\t    0.0610\t    0.0025\t    0.7667\t    731.25\n",
      "663\t    0.0906\t    0.0610\t    0.0025\t    0.7676\t    731.56\n",
      "664\t    0.0905\t    0.0610\t    0.0025\t    0.7685\t    731.86\n",
      "665\t    0.0905\t    0.0610\t    0.0025\t    0.7694\t    732.17\n",
      "666\t    0.0905\t    0.0611\t    0.0025\t    0.7703\t    732.47\n",
      "667\t    0.0904\t    0.0611\t    0.0025\t    0.7712\t    732.77\n",
      "668\t    0.0904\t    0.0611\t    0.0025\t    0.7721\t    733.08\n",
      "669\t    0.0904\t    0.0611\t    0.0025\t    0.7730\t    733.38\n",
      "670\t    0.0903\t    0.0612\t    0.0025\t    0.7739\t    733.68\n",
      "671\t    0.0903\t    0.0612\t    0.0025\t    0.7748\t    733.98\n",
      "672\t    0.0903\t    0.0612\t    0.0025\t    0.7757\t    734.28\n",
      "673\t    0.0902\t    0.0612\t    0.0025\t    0.7766\t    734.58\n",
      "674\t    0.0902\t    0.0613\t    0.0025\t    0.7775\t    734.88\n",
      "675\t    0.0902\t    0.0613\t    0.0025\t    0.7784\t    735.18\n",
      "676\t    0.0901\t    0.0613\t    0.0025\t    0.7793\t    735.48\n",
      "677\t    0.0901\t    0.0613\t    0.0025\t    0.7802\t    735.78\n",
      "678\t    0.0901\t    0.0614\t    0.0025\t    0.7811\t    736.08\n",
      "679\t    0.0900\t    0.0614\t    0.0025\t    0.7820\t    736.38\n",
      "680\t    0.0900\t    0.0614\t    0.0025\t    0.7829\t    736.68\n",
      "681\t    0.0900\t    0.0614\t    0.0025\t    0.7838\t    736.97\n",
      "682\t    0.0899\t    0.0615\t    0.0024\t    0.7847\t    737.27\n",
      "683\t    0.0899\t    0.0615\t    0.0024\t    0.7856\t    737.57\n",
      "684\t    0.0899\t    0.0615\t    0.0024\t    0.7865\t    737.86\n",
      "685\t    0.0898\t    0.0615\t    0.0024\t    0.7874\t    738.16\n",
      "686\t    0.0898\t    0.0616\t    0.0024\t    0.7883\t    738.45\n",
      "687\t    0.0898\t    0.0616\t    0.0024\t    0.7892\t    738.75\n",
      "688\t    0.0897\t    0.0616\t    0.0024\t    0.7901\t    739.04\n",
      "689\t    0.0897\t    0.0616\t    0.0024\t    0.7910\t    739.33\n",
      "690\t    0.0897\t    0.0617\t    0.0024\t    0.7919\t    739.63\n",
      "691\t    0.0896\t    0.0617\t    0.0024\t    0.7928\t    739.92\n",
      "692\t    0.0896\t    0.0617\t    0.0024\t    0.7937\t    740.21\n",
      "693\t    0.0896\t    0.0617\t    0.0024\t    0.7946\t    740.50\n",
      "694\t    0.0896\t    0.0618\t    0.0024\t    0.7955\t    740.79\n",
      "695\t    0.0895\t    0.0618\t    0.0024\t    0.7964\t    741.08\n",
      "696\t    0.0895\t    0.0618\t    0.0024\t    0.7973\t    741.38\n",
      "697\t    0.0895\t    0.0618\t    0.0024\t    0.7982\t    741.67\n",
      "698\t    0.0894\t    0.0619\t    0.0024\t    0.7991\t    741.96\n",
      "699\t    0.0894\t    0.0619\t    0.0024\t    0.8000\t    742.24\n",
      "700\t    0.0894\t    0.0619\t    0.0024\t    0.8009\t    742.53\n",
      "701\t    0.0893\t    0.0619\t    0.0024\t    0.8018\t    742.82\n",
      "702\t    0.0893\t    0.0619\t    0.0024\t    0.8026\t    743.11\n",
      "703\t    0.0893\t    0.0620\t    0.0024\t    0.8035\t    743.40\n",
      "704\t    0.0892\t    0.0620\t    0.0024\t    0.8044\t    743.68\n",
      "705\t    0.0892\t    0.0620\t    0.0024\t    0.8053\t    743.97\n",
      "706\t    0.0892\t    0.0620\t    0.0024\t    0.8062\t    744.26\n",
      "707\t    0.0891\t    0.0621\t    0.0024\t    0.8071\t    744.54\n",
      "708\t    0.0891\t    0.0621\t    0.0024\t    0.8080\t    744.83\n",
      "709\t    0.0891\t    0.0621\t    0.0024\t    0.8089\t    745.11\n",
      "710\t    0.0890\t    0.0621\t    0.0024\t    0.8098\t    745.40\n",
      "711\t    0.0890\t    0.0622\t    0.0023\t    0.8107\t    745.68\n",
      "712\t    0.0890\t    0.0622\t    0.0023\t    0.8116\t    745.97\n",
      "713\t    0.0890\t    0.0622\t    0.0023\t    0.8124\t    746.25\n",
      "714\t    0.0889\t    0.0622\t    0.0023\t    0.8133\t    746.53\n",
      "715\t    0.0889\t    0.0623\t    0.0023\t    0.8142\t    746.82\n",
      "716\t    0.0889\t    0.0623\t    0.0023\t    0.8151\t    747.10\n",
      "717\t    0.0888\t    0.0623\t    0.0023\t    0.8160\t    747.38\n",
      "718\t    0.0888\t    0.0623\t    0.0023\t    0.8169\t    747.66\n",
      "719\t    0.0888\t    0.0623\t    0.0023\t    0.8178\t    747.94\n",
      "720\t    0.0887\t    0.0624\t    0.0023\t    0.8187\t    748.23\n",
      "721\t    0.0887\t    0.0624\t    0.0023\t    0.8195\t    748.51\n",
      "722\t    0.0887\t    0.0624\t    0.0023\t    0.8204\t    748.79\n",
      "723\t    0.0886\t    0.0624\t    0.0023\t    0.8213\t    749.07\n",
      "724\t    0.0886\t    0.0625\t    0.0023\t    0.8222\t    749.34\n",
      "725\t    0.0886\t    0.0625\t    0.0023\t    0.8231\t    749.62\n",
      "726\t    0.0886\t    0.0625\t    0.0023\t    0.8240\t    749.90\n",
      "727\t    0.0885\t    0.0625\t    0.0023\t    0.8249\t    750.18\n",
      "728\t    0.0885\t    0.0626\t    0.0023\t    0.8257\t    750.46\n",
      "729\t    0.0885\t    0.0626\t    0.0023\t    0.8266\t    750.74\n",
      "730\t    0.0884\t    0.0626\t    0.0023\t    0.8275\t    751.01\n",
      "731\t    0.0884\t    0.0626\t    0.0023\t    0.8284\t    751.29\n",
      "732\t    0.0884\t    0.0626\t    0.0023\t    0.8293\t    751.57\n",
      "733\t    0.0883\t    0.0627\t    0.0023\t    0.8302\t    751.84\n",
      "734\t    0.0883\t    0.0627\t    0.0023\t    0.8310\t    752.12\n",
      "735\t    0.0883\t    0.0627\t    0.0023\t    0.8319\t    752.39\n",
      "736\t    0.0883\t    0.0627\t    0.0023\t    0.8328\t    752.67\n",
      "737\t    0.0882\t    0.0628\t    0.0023\t    0.8337\t    752.94\n",
      "738\t    0.0882\t    0.0628\t    0.0023\t    0.8346\t    753.21\n",
      "739\t    0.0882\t    0.0628\t    0.0023\t    0.8354\t    753.49\n",
      "740\t    0.0881\t    0.0628\t    0.0023\t    0.8363\t    753.76\n",
      "741\t    0.0881\t    0.0629\t    0.0023\t    0.8372\t    754.03\n",
      "742\t    0.0881\t    0.0629\t    0.0022\t    0.8381\t    754.31\n",
      "743\t    0.0880\t    0.0629\t    0.0022\t    0.8390\t    754.58\n",
      "744\t    0.0880\t    0.0629\t    0.0022\t    0.8398\t    754.85\n",
      "745\t    0.0880\t    0.0629\t    0.0022\t    0.8407\t    755.12\n",
      "746\t    0.0880\t    0.0630\t    0.0022\t    0.8416\t    755.39\n",
      "747\t    0.0879\t    0.0630\t    0.0022\t    0.8425\t    755.66\n",
      "748\t    0.0879\t    0.0630\t    0.0022\t    0.8434\t    755.93\n",
      "749\t    0.0879\t    0.0630\t    0.0022\t    0.8442\t    756.20\n",
      "750\t    0.0878\t    0.0631\t    0.0022\t    0.8451\t    756.47\n",
      "751\t    0.0878\t    0.0631\t    0.0022\t    0.8460\t    756.74\n",
      "752\t    0.0878\t    0.0631\t    0.0022\t    0.8469\t    757.01\n",
      "753\t    0.0878\t    0.0631\t    0.0022\t    0.8478\t    757.28\n",
      "754\t    0.0877\t    0.0631\t    0.0022\t    0.8486\t    757.55\n",
      "755\t    0.0877\t    0.0632\t    0.0022\t    0.8495\t    757.82\n",
      "756\t    0.0877\t    0.0632\t    0.0022\t    0.8504\t    758.08\n",
      "757\t    0.0876\t    0.0632\t    0.0022\t    0.8513\t    758.35\n",
      "758\t    0.0876\t    0.0632\t    0.0022\t    0.8521\t    758.62\n",
      "759\t    0.0876\t    0.0633\t    0.0022\t    0.8530\t    758.88\n",
      "760\t    0.0875\t    0.0633\t    0.0022\t    0.8539\t    759.15\n",
      "761\t    0.0875\t    0.0633\t    0.0022\t    0.8548\t    759.41\n",
      "762\t    0.0875\t    0.0633\t    0.0022\t    0.8556\t    759.68\n",
      "763\t    0.0875\t    0.0633\t    0.0022\t    0.8565\t    759.94\n",
      "764\t    0.0874\t    0.0634\t    0.0022\t    0.8574\t    760.21\n",
      "765\t    0.0874\t    0.0634\t    0.0022\t    0.8583\t    760.47\n",
      "766\t    0.0874\t    0.0634\t    0.0022\t    0.8591\t    760.74\n",
      "767\t    0.0873\t    0.0634\t    0.0022\t    0.8600\t    761.00\n",
      "768\t    0.0873\t    0.0634\t    0.0022\t    0.8609\t    761.26\n",
      "769\t    0.0873\t    0.0635\t    0.0022\t    0.8617\t    761.53\n",
      "770\t    0.0873\t    0.0635\t    0.0022\t    0.8626\t    761.79\n",
      "771\t    0.0872\t    0.0635\t    0.0022\t    0.8635\t    762.05\n",
      "772\t    0.0872\t    0.0635\t    0.0022\t    0.8644\t    762.31\n",
      "773\t    0.0872\t    0.0636\t    0.0022\t    0.8652\t    762.57\n",
      "774\t    0.0871\t    0.0636\t    0.0022\t    0.8661\t    762.84\n",
      "775\t    0.0871\t    0.0636\t    0.0022\t    0.8670\t    763.10\n",
      "776\t    0.0871\t    0.0636\t    0.0022\t    0.8678\t    763.36\n",
      "777\t    0.0871\t    0.0636\t    0.0021\t    0.8687\t    763.62\n",
      "778\t    0.0870\t    0.0637\t    0.0021\t    0.8696\t    763.88\n",
      "779\t    0.0870\t    0.0637\t    0.0021\t    0.8705\t    764.14\n",
      "780\t    0.0870\t    0.0637\t    0.0021\t    0.8713\t    764.40\n",
      "781\t    0.0869\t    0.0637\t    0.0021\t    0.8722\t    764.65\n",
      "782\t    0.0869\t    0.0637\t    0.0021\t    0.8731\t    764.91\n",
      "783\t    0.0869\t    0.0638\t    0.0021\t    0.8739\t    765.17\n",
      "784\t    0.0869\t    0.0638\t    0.0021\t    0.8748\t    765.43\n",
      "785\t    0.0868\t    0.0638\t    0.0021\t    0.8757\t    765.69\n",
      "786\t    0.0868\t    0.0638\t    0.0021\t    0.8765\t    765.94\n",
      "787\t    0.0868\t    0.0639\t    0.0021\t    0.8774\t    766.20\n",
      "788\t    0.0868\t    0.0639\t    0.0021\t    0.8783\t    766.46\n",
      "789\t    0.0867\t    0.0639\t    0.0021\t    0.8791\t    766.71\n",
      "790\t    0.0867\t    0.0639\t    0.0021\t    0.8800\t    766.97\n",
      "791\t    0.0867\t    0.0639\t    0.0021\t    0.8809\t    767.22\n",
      "792\t    0.0866\t    0.0640\t    0.0021\t    0.8817\t    767.48\n",
      "793\t    0.0866\t    0.0640\t    0.0021\t    0.8826\t    767.73\n",
      "794\t    0.0866\t    0.0640\t    0.0021\t    0.8835\t    767.99\n",
      "795\t    0.0866\t    0.0640\t    0.0021\t    0.8843\t    768.24\n",
      "796\t    0.0865\t    0.0640\t    0.0021\t    0.8852\t    768.50\n",
      "797\t    0.0865\t    0.0641\t    0.0021\t    0.8861\t    768.75\n",
      "798\t    0.0865\t    0.0641\t    0.0021\t    0.8869\t    769.00\n",
      "799\t    0.0865\t    0.0641\t    0.0021\t    0.8878\t    769.26\n",
      "800\t    0.0864\t    0.0641\t    0.0021\t    0.8886\t    769.51\n",
      "801\t    0.0864\t    0.0641\t    0.0021\t    0.8895\t    769.76\n",
      "802\t    0.0864\t    0.0642\t    0.0021\t    0.8904\t    770.01\n",
      "803\t    0.0863\t    0.0642\t    0.0021\t    0.8912\t    770.27\n",
      "804\t    0.0863\t    0.0642\t    0.0021\t    0.8921\t    770.52\n",
      "805\t    0.0863\t    0.0642\t    0.0021\t    0.8930\t    770.77\n",
      "806\t    0.0863\t    0.0643\t    0.0021\t    0.8938\t    771.02\n",
      "807\t    0.0862\t    0.0643\t    0.0021\t    0.8947\t    771.27\n",
      "808\t    0.0862\t    0.0643\t    0.0021\t    0.8955\t    771.52\n",
      "809\t    0.0862\t    0.0643\t    0.0021\t    0.8964\t    771.77\n",
      "810\t    0.0862\t    0.0643\t    0.0021\t    0.8973\t    772.02\n",
      "811\t    0.0861\t    0.0644\t    0.0021\t    0.8981\t    772.27\n",
      "812\t    0.0861\t    0.0644\t    0.0021\t    0.8990\t    772.52\n",
      "813\t    0.0861\t    0.0644\t    0.0021\t    0.8999\t    772.76\n",
      "814\t    0.0860\t    0.0644\t    0.0020\t    0.9007\t    773.01\n",
      "815\t    0.0860\t    0.0644\t    0.0020\t    0.9016\t    773.26\n",
      "816\t    0.0860\t    0.0645\t    0.0020\t    0.9024\t    773.51\n",
      "817\t    0.0860\t    0.0645\t    0.0020\t    0.9033\t    773.76\n",
      "818\t    0.0859\t    0.0645\t    0.0020\t    0.9041\t    774.00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "819\t    0.0859\t    0.0645\t    0.0020\t    0.9050\t    774.25\n",
      "820\t    0.0859\t    0.0645\t    0.0020\t    0.9059\t    774.50\n",
      "821\t    0.0859\t    0.0646\t    0.0020\t    0.9067\t    774.74\n",
      "822\t    0.0858\t    0.0646\t    0.0020\t    0.9076\t    774.99\n",
      "823\t    0.0858\t    0.0646\t    0.0020\t    0.9084\t    775.23\n",
      "824\t    0.0858\t    0.0646\t    0.0020\t    0.9093\t    775.48\n",
      "825\t    0.0858\t    0.0646\t    0.0020\t    0.9102\t    775.72\n",
      "826\t    0.0857\t    0.0647\t    0.0020\t    0.9110\t    775.97\n",
      "827\t    0.0857\t    0.0647\t    0.0020\t    0.9119\t    776.21\n",
      "828\t    0.0857\t    0.0647\t    0.0020\t    0.9127\t    776.46\n",
      "829\t    0.0856\t    0.0647\t    0.0020\t    0.9136\t    776.70\n",
      "830\t    0.0856\t    0.0647\t    0.0020\t    0.9144\t    776.94\n",
      "831\t    0.0856\t    0.0648\t    0.0020\t    0.9153\t    777.19\n",
      "832\t    0.0856\t    0.0648\t    0.0020\t    0.9161\t    777.43\n",
      "833\t    0.0855\t    0.0648\t    0.0020\t    0.9170\t    777.67\n",
      "834\t    0.0855\t    0.0648\t    0.0020\t    0.9179\t    777.92\n",
      "835\t    0.0855\t    0.0648\t    0.0020\t    0.9187\t    778.16\n",
      "836\t    0.0855\t    0.0649\t    0.0020\t    0.9196\t    778.40\n",
      "837\t    0.0854\t    0.0649\t    0.0020\t    0.9204\t    778.64\n",
      "838\t    0.0854\t    0.0649\t    0.0020\t    0.9213\t    778.88\n",
      "839\t    0.0854\t    0.0649\t    0.0020\t    0.9221\t    779.12\n",
      "840\t    0.0854\t    0.0649\t    0.0020\t    0.9230\t    779.36\n",
      "841\t    0.0853\t    0.0650\t    0.0020\t    0.9238\t    779.60\n",
      "842\t    0.0853\t    0.0650\t    0.0020\t    0.9247\t    779.84\n",
      "843\t    0.0853\t    0.0650\t    0.0020\t    0.9255\t    780.08\n",
      "844\t    0.0853\t    0.0650\t    0.0020\t    0.9264\t    780.32\n",
      "845\t    0.0852\t    0.0650\t    0.0020\t    0.9272\t    780.56\n",
      "846\t    0.0852\t    0.0651\t    0.0020\t    0.9281\t    780.80\n",
      "847\t    0.0852\t    0.0651\t    0.0020\t    0.9289\t    781.04\n",
      "848\t    0.0852\t    0.0651\t    0.0020\t    0.9298\t    781.28\n",
      "849\t    0.0851\t    0.0651\t    0.0020\t    0.9306\t    781.51\n",
      "850\t    0.0851\t    0.0651\t    0.0020\t    0.9315\t    781.75\n",
      "851\t    0.0851\t    0.0652\t    0.0020\t    0.9323\t    781.99\n",
      "852\t    0.0851\t    0.0652\t    0.0020\t    0.9332\t    782.23\n",
      "853\t    0.0850\t    0.0652\t    0.0020\t    0.9340\t    782.46\n",
      "854\t    0.0850\t    0.0652\t    0.0020\t    0.9349\t    782.70\n",
      "855\t    0.0850\t    0.0652\t    0.0019\t    0.9357\t    782.94\n",
      "856\t    0.0849\t    0.0653\t    0.0019\t    0.9366\t    783.18\n",
      "857\t    0.0849\t    0.0653\t    0.0019\t    0.9374\t    783.41\n",
      "858\t    0.0849\t    0.0653\t    0.0019\t    0.9383\t    783.65\n",
      "859\t    0.0848\t    0.0653\t    0.0019\t    0.9391\t    783.88\n",
      "860\t    0.0848\t    0.0653\t    0.0019\t    0.9400\t    784.12\n",
      "861\t    0.0848\t    0.0654\t    0.0019\t    0.9408\t    784.35\n",
      "862\t    0.0848\t    0.0654\t    0.0019\t    0.9417\t    784.59\n",
      "863\t    0.0847\t    0.0654\t    0.0019\t    0.9425\t    784.82\n",
      "864\t    0.0847\t    0.0654\t    0.0019\t    0.9434\t    785.06\n",
      "865\t    0.0847\t    0.0654\t    0.0019\t    0.9442\t    785.29\n",
      "866\t    0.0847\t    0.0654\t    0.0019\t    0.9451\t    785.52\n",
      "867\t    0.0846\t    0.0655\t    0.0019\t    0.9459\t    785.76\n",
      "868\t    0.0846\t    0.0655\t    0.0019\t    0.9468\t    785.99\n",
      "869\t    0.0846\t    0.0655\t    0.0019\t    0.9476\t    786.22\n",
      "870\t    0.0846\t    0.0655\t    0.0019\t    0.9484\t    786.45\n",
      "871\t    0.0845\t    0.0655\t    0.0019\t    0.9493\t    786.69\n",
      "872\t    0.0845\t    0.0656\t    0.0019\t    0.9501\t    786.92\n",
      "873\t    0.0845\t    0.0656\t    0.0019\t    0.9510\t    787.15\n",
      "874\t    0.0845\t    0.0656\t    0.0019\t    0.9518\t    787.38\n",
      "875\t    0.0844\t    0.0656\t    0.0019\t    0.9527\t    787.61\n",
      "876\t    0.0844\t    0.0656\t    0.0019\t    0.9535\t    787.84\n",
      "877\t    0.0844\t    0.0657\t    0.0019\t    0.9544\t    788.07\n",
      "878\t    0.0844\t    0.0657\t    0.0019\t    0.9552\t    788.30\n",
      "879\t    0.0843\t    0.0657\t    0.0019\t    0.9560\t    788.53\n",
      "880\t    0.0843\t    0.0657\t    0.0019\t    0.9569\t    788.76\n",
      "881\t    0.0843\t    0.0657\t    0.0019\t    0.9577\t    788.99\n",
      "882\t    0.0843\t    0.0658\t    0.0019\t    0.9586\t    789.22\n",
      "883\t    0.0842\t    0.0658\t    0.0019\t    0.9594\t    789.45\n",
      "884\t    0.0842\t    0.0658\t    0.0019\t    0.9603\t    789.68\n",
      "885\t    0.0842\t    0.0658\t    0.0019\t    0.9611\t    789.91\n",
      "886\t    0.0842\t    0.0658\t    0.0019\t    0.9619\t    790.13\n",
      "887\t    0.0841\t    0.0658\t    0.0019\t    0.9628\t    790.36\n",
      "888\t    0.0841\t    0.0659\t    0.0019\t    0.9636\t    790.59\n",
      "889\t    0.0841\t    0.0659\t    0.0019\t    0.9645\t    790.82\n",
      "890\t    0.0841\t    0.0659\t    0.0019\t    0.9653\t    791.04\n",
      "891\t    0.0840\t    0.0659\t    0.0019\t    0.9661\t    791.27\n",
      "892\t    0.0840\t    0.0659\t    0.0019\t    0.9670\t    791.50\n",
      "893\t    0.0840\t    0.0660\t    0.0019\t    0.9678\t    791.72\n",
      "894\t    0.0840\t    0.0660\t    0.0019\t    0.9687\t    791.95\n",
      "895\t    0.0839\t    0.0660\t    0.0019\t    0.9695\t    792.17\n",
      "896\t    0.0839\t    0.0660\t    0.0019\t    0.9703\t    792.40\n",
      "897\t    0.0839\t    0.0660\t    0.0019\t    0.9712\t    792.63\n",
      "898\t    0.0839\t    0.0661\t    0.0019\t    0.9720\t    792.85\n",
      "899\t    0.0839\t    0.0661\t    0.0019\t    0.9728\t    793.07\n",
      "900\t    0.0838\t    0.0661\t    0.0019\t    0.9737\t    793.30\n",
      "901\t    0.0838\t    0.0661\t    0.0018\t    0.9745\t    793.52\n",
      "902\t    0.0838\t    0.0661\t    0.0018\t    0.9754\t    793.75\n",
      "903\t    0.0838\t    0.0661\t    0.0018\t    0.9762\t    793.97\n",
      "904\t    0.0837\t    0.0662\t    0.0018\t    0.9770\t    794.19\n",
      "905\t    0.0837\t    0.0662\t    0.0018\t    0.9779\t    794.42\n",
      "906\t    0.0837\t    0.0662\t    0.0018\t    0.9787\t    794.64\n",
      "907\t    0.0837\t    0.0662\t    0.0018\t    0.9795\t    794.86\n",
      "908\t    0.0836\t    0.0662\t    0.0018\t    0.9804\t    795.09\n",
      "909\t    0.0836\t    0.0663\t    0.0018\t    0.9812\t    795.31\n",
      "910\t    0.0836\t    0.0663\t    0.0018\t    0.9820\t    795.53\n",
      "911\t    0.0836\t    0.0663\t    0.0018\t    0.9829\t    795.75\n",
      "912\t    0.0835\t    0.0663\t    0.0018\t    0.9837\t    795.97\n",
      "913\t    0.0835\t    0.0663\t    0.0018\t    0.9846\t    796.19\n",
      "914\t    0.0835\t    0.0663\t    0.0018\t    0.9854\t    796.42\n",
      "915\t    0.0835\t    0.0664\t    0.0018\t    0.9862\t    796.64\n",
      "916\t    0.0835\t    0.0664\t    0.0018\t    0.9871\t    796.86\n",
      "917\t    0.0834\t    0.0664\t    0.0018\t    0.9879\t    797.08\n",
      "918\t    0.0834\t    0.0664\t    0.0018\t    0.9887\t    797.30\n",
      "919\t    0.0834\t    0.0664\t    0.0018\t    0.9896\t    797.52\n",
      "920\t    0.0834\t    0.0665\t    0.0018\t    0.9904\t    797.74\n",
      "921\t    0.0833\t    0.0665\t    0.0018\t    0.9912\t    797.96\n",
      "922\t    0.0833\t    0.0665\t    0.0018\t    0.9921\t    798.18\n",
      "923\t    0.0833\t    0.0665\t    0.0018\t    0.9929\t    798.39\n",
      "924\t    0.0833\t    0.0665\t    0.0018\t    0.9937\t    798.61\n",
      "925\t    0.0832\t    0.0665\t    0.0018\t    0.9946\t    798.83\n",
      "926\t    0.0832\t    0.0666\t    0.0018\t    0.9954\t    799.05\n",
      "927\t    0.0832\t    0.0666\t    0.0018\t    0.9962\t    799.27\n",
      "928\t    0.0832\t    0.0666\t    0.0018\t    0.9970\t    799.49\n",
      "929\t    0.0831\t    0.0666\t    0.0018\t    0.9979\t    799.70\n",
      "930\t    0.0831\t    0.0666\t    0.0018\t    0.9987\t    799.92\n",
      "931\t    0.0831\t    0.0667\t    0.0018\t    0.9995\t    800.14\n",
      "932\t    0.0831\t    0.0667\t    0.0018\t    1.0004\t    800.35\n",
      "933\t    0.0831\t    0.0667\t    0.0018\t    1.0012\t    800.57\n",
      "934\t    0.0830\t    0.0667\t    0.0018\t    1.0020\t    800.79\n",
      "935\t    0.0830\t    0.0667\t    0.0018\t    1.0029\t    801.00\n",
      "936\t    0.0830\t    0.0667\t    0.0018\t    1.0037\t    801.22\n",
      "937\t    0.0830\t    0.0668\t    0.0018\t    1.0045\t    801.43\n",
      "938\t    0.0829\t    0.0668\t    0.0018\t    1.0053\t    801.65\n",
      "939\t    0.0829\t    0.0668\t    0.0018\t    1.0062\t    801.86\n",
      "940\t    0.0829\t    0.0668\t    0.0018\t    1.0070\t    802.08\n",
      "941\t    0.0829\t    0.0668\t    0.0018\t    1.0078\t    802.29\n",
      "942\t    0.0829\t    0.0668\t    0.0018\t    1.0087\t    802.51\n",
      "943\t    0.0828\t    0.0669\t    0.0018\t    1.0095\t    802.72\n",
      "944\t    0.0828\t    0.0669\t    0.0018\t    1.0103\t    802.94\n",
      "945\t    0.0828\t    0.0669\t    0.0018\t    1.0111\t    803.15\n",
      "946\t    0.0828\t    0.0669\t    0.0018\t    1.0120\t    803.36\n",
      "947\t    0.0827\t    0.0669\t    0.0018\t    1.0128\t    803.58\n",
      "948\t    0.0827\t    0.0670\t    0.0018\t    1.0136\t    803.79\n",
      "949\t    0.0827\t    0.0670\t    0.0018\t    1.0144\t    804.00\n",
      "950\t    0.0827\t    0.0670\t    0.0018\t    1.0153\t    804.22\n",
      "951\t    0.0826\t    0.0670\t    0.0018\t    1.0161\t    804.43\n",
      "952\t    0.0826\t    0.0670\t    0.0017\t    1.0169\t    804.64\n",
      "953\t    0.0826\t    0.0670\t    0.0017\t    1.0178\t    804.85\n",
      "954\t    0.0826\t    0.0671\t    0.0017\t    1.0186\t    805.06\n",
      "955\t    0.0826\t    0.0671\t    0.0017\t    1.0194\t    805.27\n",
      "956\t    0.0825\t    0.0671\t    0.0017\t    1.0202\t    805.49\n",
      "957\t    0.0825\t    0.0671\t    0.0017\t    1.0211\t    805.70\n",
      "958\t    0.0825\t    0.0671\t    0.0017\t    1.0219\t    805.91\n",
      "959\t    0.0825\t    0.0671\t    0.0017\t    1.0227\t    806.12\n",
      "960\t    0.0824\t    0.0672\t    0.0017\t    1.0235\t    806.33\n",
      "961\t    0.0824\t    0.0672\t    0.0017\t    1.0243\t    806.54\n",
      "962\t    0.0824\t    0.0672\t    0.0017\t    1.0252\t    806.75\n",
      "963\t    0.0824\t    0.0672\t    0.0017\t    1.0260\t    806.96\n",
      "964\t    0.0824\t    0.0672\t    0.0017\t    1.0268\t    807.17\n",
      "965\t    0.0823\t    0.0673\t    0.0017\t    1.0276\t    807.38\n",
      "966\t    0.0823\t    0.0673\t    0.0017\t    1.0285\t    807.59\n",
      "967\t    0.0823\t    0.0673\t    0.0017\t    1.0293\t    807.80\n",
      "968\t    0.0823\t    0.0673\t    0.0017\t    1.0301\t    808.00\n",
      "969\t    0.0822\t    0.0673\t    0.0017\t    1.0309\t    808.21\n",
      "970\t    0.0822\t    0.0673\t    0.0017\t    1.0318\t    808.42\n",
      "971\t    0.0822\t    0.0674\t    0.0017\t    1.0326\t    808.63\n",
      "972\t    0.0822\t    0.0674\t    0.0017\t    1.0334\t    808.84\n",
      "973\t    0.0822\t    0.0674\t    0.0017\t    1.0342\t    809.04\n",
      "974\t    0.0821\t    0.0674\t    0.0017\t    1.0350\t    809.25\n",
      "975\t    0.0821\t    0.0674\t    0.0017\t    1.0359\t    809.46\n",
      "976\t    0.0821\t    0.0674\t    0.0017\t    1.0367\t    809.67\n",
      "977\t    0.0821\t    0.0675\t    0.0017\t    1.0375\t    809.87\n",
      "978\t    0.0821\t    0.0675\t    0.0017\t    1.0383\t    810.08\n",
      "979\t    0.0820\t    0.0675\t    0.0017\t    1.0391\t    810.28\n",
      "980\t    0.0820\t    0.0675\t    0.0017\t    1.0400\t    810.49\n",
      "981\t    0.0820\t    0.0675\t    0.0017\t    1.0408\t    810.70\n",
      "982\t    0.0820\t    0.0675\t    0.0017\t    1.0416\t    810.90\n",
      "983\t    0.0819\t    0.0676\t    0.0017\t    1.0424\t    811.11\n",
      "984\t    0.0819\t    0.0676\t    0.0017\t    1.0432\t    811.31\n",
      "985\t    0.0819\t    0.0676\t    0.0017\t    1.0441\t    811.52\n",
      "986\t    0.0819\t    0.0676\t    0.0017\t    1.0449\t    811.72\n",
      "987\t    0.0819\t    0.0676\t    0.0017\t    1.0457\t    811.93\n",
      "988\t    0.0818\t    0.0676\t    0.0017\t    1.0465\t    812.13\n",
      "989\t    0.0818\t    0.0677\t    0.0017\t    1.0473\t    812.34\n",
      "990\t    0.0818\t    0.0677\t    0.0017\t    1.0481\t    812.54\n",
      "991\t    0.0818\t    0.0677\t    0.0017\t    1.0490\t    812.74\n",
      "992\t    0.0817\t    0.0677\t    0.0017\t    1.0498\t    812.95\n",
      "993\t    0.0817\t    0.0677\t    0.0017\t    1.0506\t    813.15\n",
      "994\t    0.0817\t    0.0677\t    0.0017\t    1.0514\t    813.35\n",
      "995\t    0.0817\t    0.0678\t    0.0017\t    1.0522\t    813.56\n",
      "996\t    0.0817\t    0.0678\t    0.0017\t    1.0530\t    813.76\n",
      "997\t    0.0816\t    0.0678\t    0.0017\t    1.0539\t    813.96\n",
      "998\t    0.0816\t    0.0678\t    0.0017\t    1.0547\t    814.16\n",
      "999\t    0.0816\t    0.0678\t    0.0017\t    1.0555\t    814.37\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.3066\t    0.0033\t    0.0014\t    0.0033\t      0.18\n",
      "  1\t    0.2789\t    0.0030\t    0.0028\t    0.0061\t      0.53\n",
      "  2\t    0.2632\t    0.0029\t    0.0042\t    0.0087\t      1.05\n",
      "  3\t    0.2521\t    0.0027\t    0.0056\t    0.0112\t      1.73\n",
      "  4\t    0.2440\t    0.0027\t    0.0069\t    0.0137\t      2.57\n",
      "  5\t    0.2374\t    0.0026\t    0.0081\t    0.0160\t      3.55\n",
      "  6\t    0.2319\t    0.0026\t    0.0093\t    0.0184\t      4.68\n",
      "  7\t    0.2272\t    0.0025\t    0.0105\t    0.0206\t      5.94\n",
      "  8\t    0.2230\t    0.0025\t    0.0116\t    0.0229\t      7.34\n",
      "  9\t    0.2193\t    0.0025\t    0.0126\t    0.0251\t      8.86\n",
      " 10\t    0.2160\t    0.0026\t    0.0136\t    0.0272\t     10.50\n",
      " 11\t    0.2129\t    0.0026\t    0.0146\t    0.0293\t     12.25\n",
      " 12\t    0.2102\t    0.0026\t    0.0155\t    0.0314\t     14.12\n",
      " 13\t    0.2076\t    0.0027\t    0.0163\t    0.0335\t     16.08\n",
      " 14\t    0.2050\t    0.0028\t    0.0171\t    0.0356\t     18.14\n",
      " 15\t    0.2028\t    0.0029\t    0.0178\t    0.0376\t     20.29\n",
      " 16\t    0.2007\t    0.0030\t    0.0185\t    0.0396\t     22.52\n",
      " 17\t    0.1988\t    0.0031\t    0.0192\t    0.0416\t     24.83\n",
      " 18\t    0.1970\t    0.0032\t    0.0198\t    0.0436\t     27.21\n",
      " 19\t    0.1952\t    0.0034\t    0.0204\t    0.0455\t     29.66\n",
      " 20\t    0.1936\t    0.0035\t    0.0209\t    0.0475\t     32.18\n",
      " 21\t    0.1920\t    0.0037\t    0.0214\t    0.0494\t     34.75\n",
      " 22\t    0.1905\t    0.0039\t    0.0218\t    0.0513\t     37.37\n",
      " 23\t    0.1890\t    0.0040\t    0.0222\t    0.0532\t     40.04\n",
      " 24\t    0.1876\t    0.0042\t    0.0226\t    0.0550\t     42.76\n",
      " 25\t    0.1863\t    0.0044\t    0.0229\t    0.0569\t     45.52\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 26\t    0.1850\t    0.0046\t    0.0232\t    0.0588\t     48.31\n",
      " 27\t    0.1838\t    0.0048\t    0.0235\t    0.0606\t     51.13\n",
      " 28\t    0.1826\t    0.0051\t    0.0237\t    0.0624\t     53.98\n",
      " 29\t    0.1815\t    0.0053\t    0.0239\t    0.0642\t     56.85\n",
      " 30\t    0.1804\t    0.0055\t    0.0241\t    0.0660\t     59.75\n",
      " 31\t    0.1793\t    0.0057\t    0.0242\t    0.0678\t     62.66\n",
      " 32\t    0.1783\t    0.0060\t    0.0243\t    0.0696\t     65.59\n",
      " 33\t    0.1772\t    0.0062\t    0.0244\t    0.0714\t     68.52\n",
      " 34\t    0.1763\t    0.0064\t    0.0245\t    0.0732\t     71.47\n",
      " 35\t    0.1753\t    0.0066\t    0.0246\t    0.0749\t     74.43\n",
      " 36\t    0.1744\t    0.0069\t    0.0246\t    0.0766\t     77.38\n",
      " 37\t    0.1735\t    0.0071\t    0.0246\t    0.0784\t     80.34\n",
      " 38\t    0.1727\t    0.0074\t    0.0246\t    0.0801\t     83.30\n",
      " 39\t    0.1718\t    0.0076\t    0.0246\t    0.0818\t     86.26\n",
      " 40\t    0.1710\t    0.0078\t    0.0246\t    0.0835\t     89.21\n",
      " 41\t    0.1702\t    0.0081\t    0.0245\t    0.0852\t     92.16\n",
      " 42\t    0.1694\t    0.0083\t    0.0245\t    0.0869\t     95.10\n",
      " 43\t    0.1687\t    0.0085\t    0.0244\t    0.0886\t     98.04\n",
      " 44\t    0.1679\t    0.0088\t    0.0243\t    0.0903\t    100.96\n",
      " 45\t    0.1672\t    0.0090\t    0.0242\t    0.0920\t    103.87\n",
      " 46\t    0.1665\t    0.0092\t    0.0241\t    0.0936\t    106.77\n",
      " 47\t    0.1658\t    0.0095\t    0.0240\t    0.0953\t    109.66\n",
      " 48\t    0.1651\t    0.0097\t    0.0239\t    0.0969\t    112.53\n",
      " 49\t    0.1645\t    0.0099\t    0.0238\t    0.0986\t    115.39\n",
      " 50\t    0.1638\t    0.0102\t    0.0237\t    0.1002\t    118.24\n",
      " 51\t    0.1632\t    0.0104\t    0.0235\t    0.1019\t    121.07\n",
      " 52\t    0.1626\t    0.0106\t    0.0234\t    0.1035\t    123.88\n",
      " 53\t    0.1620\t    0.0109\t    0.0232\t    0.1051\t    126.67\n",
      " 54\t    0.1614\t    0.0111\t    0.0231\t    0.1067\t    129.45\n",
      " 55\t    0.1607\t    0.0113\t    0.0230\t    0.1083\t    132.21\n",
      " 56\t    0.1601\t    0.0115\t    0.0228\t    0.1099\t    134.96\n",
      " 57\t    0.1596\t    0.0118\t    0.0226\t    0.1115\t    137.68\n",
      " 58\t    0.1591\t    0.0120\t    0.0225\t    0.1131\t    140.38\n",
      " 59\t    0.1585\t    0.0122\t    0.0223\t    0.1147\t    143.07\n",
      " 60\t    0.1580\t    0.0124\t    0.0222\t    0.1163\t    145.73\n",
      " 61\t    0.1575\t    0.0127\t    0.0220\t    0.1179\t    148.38\n",
      " 62\t    0.1570\t    0.0129\t    0.0218\t    0.1194\t    151.00\n",
      " 63\t    0.1565\t    0.0131\t    0.0217\t    0.1210\t    153.61\n",
      " 64\t    0.1560\t    0.0133\t    0.0215\t    0.1226\t    156.19\n",
      " 65\t    0.1556\t    0.0135\t    0.0213\t    0.1241\t    158.76\n",
      " 66\t    0.1551\t    0.0137\t    0.0212\t    0.1257\t    161.30\n",
      " 67\t    0.1546\t    0.0139\t    0.0210\t    0.1272\t    163.83\n",
      " 68\t    0.1542\t    0.0141\t    0.0208\t    0.1287\t    166.33\n",
      " 69\t    0.1537\t    0.0143\t    0.0207\t    0.1303\t    168.82\n",
      " 70\t    0.1533\t    0.0145\t    0.0205\t    0.1318\t    171.28\n",
      " 71\t    0.1529\t    0.0147\t    0.0203\t    0.1333\t    173.73\n",
      " 72\t    0.1525\t    0.0149\t    0.0202\t    0.1349\t    176.15\n",
      " 73\t    0.1520\t    0.0151\t    0.0200\t    0.1364\t    178.56\n",
      " 74\t    0.1516\t    0.0153\t    0.0198\t    0.1379\t    180.95\n",
      " 75\t    0.1512\t    0.0155\t    0.0197\t    0.1394\t    183.31\n",
      " 76\t    0.1508\t    0.0157\t    0.0195\t    0.1409\t    185.66\n",
      " 77\t    0.1505\t    0.0159\t    0.0194\t    0.1424\t    187.99\n",
      " 78\t    0.1501\t    0.0161\t    0.0192\t    0.1439\t    190.30\n",
      " 79\t    0.1497\t    0.0163\t    0.0191\t    0.1454\t    192.59\n",
      " 80\t    0.1493\t    0.0165\t    0.0189\t    0.1469\t    194.87\n",
      " 81\t    0.1489\t    0.0167\t    0.0187\t    0.1484\t    197.12\n",
      " 82\t    0.1486\t    0.0169\t    0.0186\t    0.1499\t    199.36\n",
      " 83\t    0.1482\t    0.0170\t    0.0184\t    0.1514\t    201.58\n",
      " 84\t    0.1479\t    0.0172\t    0.0183\t    0.1529\t    203.78\n",
      " 85\t    0.1475\t    0.0174\t    0.0181\t    0.1543\t    205.96\n",
      " 86\t    0.1472\t    0.0176\t    0.0180\t    0.1558\t    208.12\n",
      " 87\t    0.1468\t    0.0178\t    0.0179\t    0.1573\t    210.27\n",
      " 88\t    0.1465\t    0.0179\t    0.0177\t    0.1587\t    212.40\n",
      " 89\t    0.1462\t    0.0181\t    0.0176\t    0.1602\t    214.51\n",
      " 90\t    0.1458\t    0.0183\t    0.0174\t    0.1617\t    216.61\n",
      " 91\t    0.1455\t    0.0185\t    0.0173\t    0.1631\t    218.69\n",
      " 92\t    0.1452\t    0.0186\t    0.0172\t    0.1646\t    220.75\n",
      " 93\t    0.1449\t    0.0188\t    0.0170\t    0.1660\t    222.80\n",
      " 94\t    0.1446\t    0.0190\t    0.0169\t    0.1675\t    224.83\n",
      " 95\t    0.1443\t    0.0191\t    0.0167\t    0.1689\t    226.85\n",
      " 96\t    0.1440\t    0.0193\t    0.0166\t    0.1703\t    228.84\n",
      " 97\t    0.1437\t    0.0195\t    0.0165\t    0.1718\t    230.83\n",
      " 98\t    0.1434\t    0.0196\t    0.0164\t    0.1732\t    232.79\n",
      " 99\t    0.1431\t    0.0198\t    0.0162\t    0.1746\t    234.75\n",
      "100\t    0.1428\t    0.0199\t    0.0161\t    0.1761\t    236.68\n",
      "101\t    0.1425\t    0.0201\t    0.0160\t    0.1775\t    238.61\n",
      "102\t    0.1422\t    0.0203\t    0.0159\t    0.1789\t    240.51\n",
      "103\t    0.1419\t    0.0204\t    0.0157\t    0.1803\t    242.41\n",
      "104\t    0.1417\t    0.0206\t    0.0156\t    0.1818\t    244.29\n",
      "105\t    0.1414\t    0.0207\t    0.0155\t    0.1832\t    246.15\n",
      "106\t    0.1411\t    0.0209\t    0.0154\t    0.1846\t    248.00\n",
      "107\t    0.1409\t    0.0210\t    0.0153\t    0.1860\t    249.84\n",
      "108\t    0.1406\t    0.0212\t    0.0152\t    0.1874\t    251.66\n",
      "109\t    0.1403\t    0.0213\t    0.0150\t    0.1888\t    253.47\n",
      "110\t    0.1401\t    0.0215\t    0.0149\t    0.1902\t    255.27\n",
      "111\t    0.1398\t    0.0216\t    0.0148\t    0.1916\t    257.05\n",
      "112\t    0.1396\t    0.0218\t    0.0147\t    0.1930\t    258.82\n",
      "113\t    0.1393\t    0.0219\t    0.0146\t    0.1944\t    260.57\n",
      "114\t    0.1391\t    0.0221\t    0.0145\t    0.1958\t    262.32\n",
      "115\t    0.1388\t    0.0222\t    0.0144\t    0.1972\t    264.05\n",
      "116\t    0.1386\t    0.0224\t    0.0143\t    0.1986\t    265.77\n",
      "117\t    0.1383\t    0.0225\t    0.0142\t    0.1999\t    267.47\n",
      "118\t    0.1381\t    0.0226\t    0.0141\t    0.2013\t    269.17\n",
      "119\t    0.1378\t    0.0228\t    0.0140\t    0.2027\t    270.85\n",
      "120\t    0.1376\t    0.0229\t    0.0139\t    0.2041\t    272.52\n",
      "121\t    0.1374\t    0.0231\t    0.0138\t    0.2054\t    274.18\n",
      "122\t    0.1372\t    0.0232\t    0.0137\t    0.2068\t    275.83\n",
      "123\t    0.1369\t    0.0233\t    0.0136\t    0.2082\t    277.46\n",
      "124\t    0.1367\t    0.0235\t    0.0135\t    0.2096\t    279.09\n",
      "125\t    0.1365\t    0.0236\t    0.0134\t    0.2109\t    280.70\n",
      "126\t    0.1363\t    0.0237\t    0.0133\t    0.2123\t    282.30\n",
      "127\t    0.1360\t    0.0239\t    0.0132\t    0.2136\t    283.89\n",
      "128\t    0.1358\t    0.0240\t    0.0131\t    0.2150\t    285.47\n",
      "129\t    0.1356\t    0.0241\t    0.0130\t    0.2164\t    287.04\n",
      "130\t    0.1354\t    0.0242\t    0.0130\t    0.2177\t    288.60\n",
      "131\t    0.1352\t    0.0244\t    0.0129\t    0.2191\t    290.15\n",
      "132\t    0.1350\t    0.0245\t    0.0128\t    0.2204\t    291.69\n",
      "133\t    0.1348\t    0.0246\t    0.0127\t    0.2218\t    293.22\n",
      "134\t    0.1345\t    0.0248\t    0.0126\t    0.2231\t    294.74\n",
      "135\t    0.1343\t    0.0249\t    0.0125\t    0.2244\t    296.25\n",
      "136\t    0.1341\t    0.0250\t    0.0125\t    0.2258\t    297.74\n",
      "137\t    0.1339\t    0.0251\t    0.0124\t    0.2271\t    299.23\n",
      "138\t    0.1337\t    0.0253\t    0.0123\t    0.2285\t    300.71\n",
      "139\t    0.1335\t    0.0254\t    0.0122\t    0.2298\t    302.18\n",
      "140\t    0.1333\t    0.0255\t    0.0121\t    0.2311\t    303.64\n",
      "141\t    0.1331\t    0.0256\t    0.0121\t    0.2325\t    305.09\n",
      "142\t    0.1329\t    0.0257\t    0.0120\t    0.2338\t    306.54\n",
      "143\t    0.1328\t    0.0259\t    0.0119\t    0.2351\t    307.97\n",
      "144\t    0.1326\t    0.0260\t    0.0118\t    0.2364\t    309.39\n",
      "145\t    0.1324\t    0.0261\t    0.0118\t    0.2378\t    310.81\n",
      "146\t    0.1322\t    0.0262\t    0.0117\t    0.2391\t    312.21\n",
      "147\t    0.1320\t    0.0263\t    0.0116\t    0.2404\t    313.61\n",
      "148\t    0.1318\t    0.0264\t    0.0115\t    0.2417\t    315.00\n",
      "149\t    0.1316\t    0.0265\t    0.0115\t    0.2430\t    316.38\n",
      "150\t    0.1315\t    0.0267\t    0.0114\t    0.2444\t    317.75\n",
      "151\t    0.1313\t    0.0268\t    0.0113\t    0.2457\t    319.12\n",
      "152\t    0.1311\t    0.0269\t    0.0113\t    0.2470\t    320.47\n",
      "153\t    0.1309\t    0.0270\t    0.0112\t    0.2483\t    321.82\n",
      "154\t    0.1307\t    0.0271\t    0.0111\t    0.2496\t    323.16\n",
      "155\t    0.1306\t    0.0272\t    0.0111\t    0.2509\t    324.49\n",
      "156\t    0.1304\t    0.0273\t    0.0110\t    0.2522\t    325.82\n",
      "157\t    0.1302\t    0.0274\t    0.0109\t    0.2535\t    327.13\n",
      "158\t    0.1300\t    0.0275\t    0.0109\t    0.2548\t    328.44\n",
      "159\t    0.1299\t    0.0277\t    0.0108\t    0.2561\t    329.74\n",
      "160\t    0.1297\t    0.0278\t    0.0107\t    0.2574\t    331.04\n",
      "161\t    0.1295\t    0.0279\t    0.0107\t    0.2587\t    332.32\n",
      "162\t    0.1294\t    0.0280\t    0.0106\t    0.2600\t    333.60\n",
      "163\t    0.1292\t    0.0281\t    0.0106\t    0.2613\t    334.87\n",
      "164\t    0.1290\t    0.0282\t    0.0105\t    0.2626\t    336.14\n",
      "165\t    0.1289\t    0.0283\t    0.0104\t    0.2639\t    337.39\n",
      "166\t    0.1287\t    0.0284\t    0.0104\t    0.2651\t    338.64\n",
      "167\t    0.1286\t    0.0285\t    0.0103\t    0.2664\t    339.89\n",
      "168\t    0.1284\t    0.0286\t    0.0103\t    0.2677\t    341.12\n",
      "169\t    0.1282\t    0.0287\t    0.0102\t    0.2690\t    342.35\n",
      "170\t    0.1281\t    0.0288\t    0.0102\t    0.2703\t    343.57\n",
      "171\t    0.1279\t    0.0289\t    0.0101\t    0.2716\t    344.79\n",
      "172\t    0.1278\t    0.0290\t    0.0100\t    0.2728\t    346.00\n",
      "173\t    0.1276\t    0.0291\t    0.0100\t    0.2741\t    347.20\n",
      "174\t    0.1275\t    0.0292\t    0.0099\t    0.2754\t    348.40\n",
      "175\t    0.1273\t    0.0293\t    0.0099\t    0.2767\t    349.59\n",
      "176\t    0.1272\t    0.0294\t    0.0098\t    0.2779\t    350.77\n",
      "177\t    0.1270\t    0.0295\t    0.0098\t    0.2792\t    351.95\n",
      "178\t    0.1268\t    0.0296\t    0.0097\t    0.2805\t    353.12\n",
      "179\t    0.1267\t    0.0297\t    0.0097\t    0.2817\t    354.28\n",
      "180\t    0.1266\t    0.0298\t    0.0096\t    0.2830\t    355.44\n",
      "181\t    0.1264\t    0.0299\t    0.0096\t    0.2843\t    356.59\n",
      "182\t    0.1263\t    0.0300\t    0.0095\t    0.2855\t    357.74\n",
      "183\t    0.1261\t    0.0301\t    0.0095\t    0.2868\t    358.88\n",
      "184\t    0.1260\t    0.0302\t    0.0094\t    0.2880\t    360.01\n",
      "185\t    0.1258\t    0.0303\t    0.0094\t    0.2893\t    361.14\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "186\t    0.1257\t    0.0304\t    0.0093\t    0.2906\t    362.27\n",
      "187\t    0.1255\t    0.0304\t    0.0093\t    0.2918\t    363.38\n",
      "188\t    0.1254\t    0.0305\t    0.0092\t    0.2931\t    364.49\n",
      "189\t    0.1253\t    0.0306\t    0.0092\t    0.2943\t    365.60\n",
      "190\t    0.1251\t    0.0307\t    0.0091\t    0.2956\t    366.70\n",
      "191\t    0.1250\t    0.0308\t    0.0091\t    0.2968\t    367.80\n",
      "192\t    0.1248\t    0.0309\t    0.0090\t    0.2981\t    368.89\n",
      "193\t    0.1247\t    0.0310\t    0.0090\t    0.2993\t    369.97\n",
      "194\t    0.1246\t    0.0311\t    0.0090\t    0.3006\t    371.05\n",
      "195\t    0.1244\t    0.0312\t    0.0089\t    0.3018\t    372.12\n",
      "196\t    0.1242\t    0.0313\t    0.0089\t    0.3031\t    373.19\n",
      "197\t    0.1241\t    0.0313\t    0.0088\t    0.3043\t    374.26\n",
      "198\t    0.1240\t    0.0314\t    0.0088\t    0.3055\t    375.32\n",
      "199\t    0.1238\t    0.0315\t    0.0087\t    0.3068\t    376.37\n",
      "200\t    0.1237\t    0.0316\t    0.0087\t    0.3080\t    377.42\n",
      "201\t    0.1236\t    0.0317\t    0.0087\t    0.3092\t    378.46\n",
      "202\t    0.1234\t    0.0318\t    0.0086\t    0.3105\t    379.50\n",
      "203\t    0.1233\t    0.0319\t    0.0086\t    0.3117\t    380.53\n",
      "204\t    0.1232\t    0.0320\t    0.0085\t    0.3129\t    381.56\n",
      "205\t    0.1231\t    0.0320\t    0.0085\t    0.3142\t    382.59\n",
      "206\t    0.1229\t    0.0321\t    0.0085\t    0.3154\t    383.60\n",
      "207\t    0.1228\t    0.0322\t    0.0084\t    0.3166\t    384.62\n",
      "208\t    0.1227\t    0.0323\t    0.0084\t    0.3179\t    385.63\n",
      "209\t    0.1226\t    0.0324\t    0.0083\t    0.3191\t    386.63\n",
      "210\t    0.1224\t    0.0325\t    0.0083\t    0.3203\t    387.63\n",
      "211\t    0.1223\t    0.0325\t    0.0083\t    0.3215\t    388.63\n",
      "212\t    0.1222\t    0.0326\t    0.0082\t    0.3227\t    389.62\n",
      "213\t    0.1221\t    0.0327\t    0.0082\t    0.3240\t    390.60\n",
      "214\t    0.1220\t    0.0328\t    0.0081\t    0.3252\t    391.59\n",
      "215\t    0.1218\t    0.0329\t    0.0081\t    0.3264\t    392.56\n",
      "216\t    0.1217\t    0.0329\t    0.0081\t    0.3276\t    393.54\n",
      "217\t    0.1216\t    0.0330\t    0.0080\t    0.3288\t    394.50\n",
      "218\t    0.1215\t    0.0331\t    0.0080\t    0.3301\t    395.47\n",
      "219\t    0.1214\t    0.0332\t    0.0080\t    0.3313\t    396.43\n",
      "220\t    0.1212\t    0.0333\t    0.0079\t    0.3325\t    397.38\n",
      "221\t    0.1211\t    0.0333\t    0.0079\t    0.3337\t    398.34\n",
      "222\t    0.1210\t    0.0334\t    0.0079\t    0.3349\t    399.28\n",
      "223\t    0.1209\t    0.0335\t    0.0078\t    0.3361\t    400.23\n",
      "224\t    0.1208\t    0.0336\t    0.0078\t    0.3373\t    401.17\n",
      "225\t    0.1207\t    0.0337\t    0.0078\t    0.3385\t    402.10\n",
      "226\t    0.1205\t    0.0337\t    0.0077\t    0.3397\t    403.03\n",
      "227\t    0.1204\t    0.0338\t    0.0077\t    0.3409\t    403.96\n",
      "228\t    0.1203\t    0.0339\t    0.0077\t    0.3421\t    404.88\n",
      "229\t    0.1202\t    0.0340\t    0.0076\t    0.3433\t    405.80\n",
      "230\t    0.1201\t    0.0340\t    0.0076\t    0.3445\t    406.71\n",
      "231\t    0.1200\t    0.0341\t    0.0076\t    0.3457\t    407.63\n",
      "232\t    0.1199\t    0.0342\t    0.0075\t    0.3469\t    408.53\n",
      "233\t    0.1198\t    0.0343\t    0.0075\t    0.3481\t    409.44\n",
      "234\t    0.1197\t    0.0343\t    0.0075\t    0.3493\t    410.34\n",
      "235\t    0.1195\t    0.0344\t    0.0074\t    0.3505\t    411.23\n",
      "236\t    0.1194\t    0.0345\t    0.0074\t    0.3517\t    412.12\n",
      "237\t    0.1193\t    0.0346\t    0.0074\t    0.3529\t    413.01\n",
      "238\t    0.1192\t    0.0346\t    0.0073\t    0.3541\t    413.90\n",
      "239\t    0.1191\t    0.0347\t    0.0073\t    0.3553\t    414.78\n",
      "240\t    0.1190\t    0.0348\t    0.0073\t    0.3565\t    415.66\n",
      "241\t    0.1189\t    0.0349\t    0.0073\t    0.3577\t    416.53\n",
      "242\t    0.1188\t    0.0349\t    0.0072\t    0.3589\t    417.40\n",
      "243\t    0.1187\t    0.0350\t    0.0072\t    0.3600\t    418.27\n",
      "244\t    0.1186\t    0.0351\t    0.0072\t    0.3612\t    419.13\n",
      "245\t    0.1185\t    0.0351\t    0.0071\t    0.3624\t    419.99\n",
      "246\t    0.1184\t    0.0352\t    0.0071\t    0.3636\t    420.85\n",
      "247\t    0.1183\t    0.0353\t    0.0071\t    0.3648\t    421.70\n",
      "248\t    0.1182\t    0.0354\t    0.0071\t    0.3660\t    422.55\n",
      "249\t    0.1181\t    0.0354\t    0.0070\t    0.3671\t    423.40\n",
      "250\t    0.1180\t    0.0355\t    0.0070\t    0.3683\t    424.24\n",
      "251\t    0.1179\t    0.0356\t    0.0070\t    0.3695\t    425.08\n",
      "252\t    0.1178\t    0.0356\t    0.0069\t    0.3707\t    425.92\n",
      "253\t    0.1177\t    0.0357\t    0.0069\t    0.3719\t    426.75\n",
      "254\t    0.1176\t    0.0358\t    0.0069\t    0.3730\t    427.58\n",
      "255\t    0.1175\t    0.0358\t    0.0069\t    0.3742\t    428.41\n",
      "256\t    0.1174\t    0.0359\t    0.0068\t    0.3754\t    429.23\n",
      "257\t    0.1173\t    0.0360\t    0.0068\t    0.3766\t    430.05\n",
      "258\t    0.1172\t    0.0360\t    0.0068\t    0.3777\t    430.87\n",
      "259\t    0.1171\t    0.0361\t    0.0068\t    0.3789\t    431.68\n",
      "260\t    0.1170\t    0.0362\t    0.0067\t    0.3801\t    432.50\n",
      "261\t    0.1169\t    0.0362\t    0.0067\t    0.3812\t    433.30\n",
      "262\t    0.1168\t    0.0363\t    0.0067\t    0.3824\t    434.11\n",
      "263\t    0.1167\t    0.0364\t    0.0067\t    0.3836\t    434.91\n",
      "264\t    0.1166\t    0.0364\t    0.0066\t    0.3847\t    435.71\n",
      "265\t    0.1165\t    0.0365\t    0.0066\t    0.3859\t    436.51\n",
      "266\t    0.1164\t    0.0366\t    0.0066\t    0.3871\t    437.30\n",
      "267\t    0.1163\t    0.0366\t    0.0066\t    0.3882\t    438.09\n",
      "268\t    0.1162\t    0.0367\t    0.0065\t    0.3894\t    438.88\n",
      "269\t    0.1161\t    0.0368\t    0.0065\t    0.3905\t    439.66\n",
      "270\t    0.1160\t    0.0368\t    0.0065\t    0.3917\t    440.44\n",
      "271\t    0.1159\t    0.0369\t    0.0065\t    0.3929\t    441.22\n",
      "272\t    0.1158\t    0.0370\t    0.0064\t    0.3940\t    442.00\n",
      "273\t    0.1157\t    0.0370\t    0.0064\t    0.3952\t    442.77\n",
      "274\t    0.1156\t    0.0371\t    0.0064\t    0.3963\t    443.54\n",
      "275\t    0.1156\t    0.0372\t    0.0064\t    0.3975\t    444.31\n",
      "276\t    0.1155\t    0.0372\t    0.0063\t    0.3986\t    445.07\n",
      "277\t    0.1154\t    0.0373\t    0.0063\t    0.3998\t    445.84\n",
      "278\t    0.1153\t    0.0373\t    0.0063\t    0.4009\t    446.59\n",
      "279\t    0.1152\t    0.0374\t    0.0063\t    0.4021\t    447.35\n",
      "280\t    0.1151\t    0.0375\t    0.0063\t    0.4032\t    448.10\n",
      "281\t    0.1150\t    0.0375\t    0.0062\t    0.4044\t    448.86\n",
      "282\t    0.1149\t    0.0376\t    0.0062\t    0.4055\t    449.60\n",
      "283\t    0.1148\t    0.0377\t    0.0062\t    0.4067\t    450.35\n",
      "284\t    0.1147\t    0.0377\t    0.0062\t    0.4078\t    451.09\n",
      "285\t    0.1147\t    0.0378\t    0.0061\t    0.4090\t    451.83\n",
      "286\t    0.1146\t    0.0378\t    0.0061\t    0.4101\t    452.57\n",
      "287\t    0.1145\t    0.0379\t    0.0061\t    0.4113\t    453.31\n",
      "288\t    0.1144\t    0.0380\t    0.0061\t    0.4124\t    454.04\n",
      "289\t    0.1143\t    0.0380\t    0.0061\t    0.4136\t    454.77\n",
      "290\t    0.1142\t    0.0381\t    0.0060\t    0.4147\t    455.50\n",
      "291\t    0.1141\t    0.0381\t    0.0060\t    0.4158\t    456.23\n",
      "292\t    0.1140\t    0.0382\t    0.0060\t    0.4170\t    456.95\n",
      "293\t    0.1140\t    0.0383\t    0.0060\t    0.4181\t    457.67\n",
      "294\t    0.1139\t    0.0383\t    0.0060\t    0.4193\t    458.39\n",
      "295\t    0.1138\t    0.0384\t    0.0059\t    0.4204\t    459.10\n",
      "296\t    0.1137\t    0.0384\t    0.0059\t    0.4215\t    459.82\n",
      "297\t    0.1136\t    0.0385\t    0.0059\t    0.4227\t    460.53\n",
      "298\t    0.1135\t    0.0386\t    0.0059\t    0.4238\t    461.24\n",
      "299\t    0.1135\t    0.0386\t    0.0059\t    0.4249\t    461.94\n",
      "300\t    0.1134\t    0.0387\t    0.0058\t    0.4261\t    462.65\n",
      "301\t    0.1133\t    0.0387\t    0.0058\t    0.4272\t    463.35\n",
      "302\t    0.1132\t    0.0388\t    0.0058\t    0.4283\t    464.05\n",
      "303\t    0.1131\t    0.0388\t    0.0058\t    0.4295\t    464.75\n",
      "304\t    0.1130\t    0.0389\t    0.0058\t    0.4306\t    465.44\n",
      "305\t    0.1130\t    0.0390\t    0.0057\t    0.4317\t    466.13\n",
      "306\t    0.1129\t    0.0390\t    0.0057\t    0.4329\t    466.82\n",
      "307\t    0.1128\t    0.0391\t    0.0057\t    0.4340\t    467.51\n",
      "308\t    0.1127\t    0.0391\t    0.0057\t    0.4351\t    468.20\n",
      "309\t    0.1126\t    0.0392\t    0.0057\t    0.4362\t    468.88\n",
      "310\t    0.1126\t    0.0392\t    0.0056\t    0.4374\t    469.56\n",
      "311\t    0.1125\t    0.0393\t    0.0056\t    0.4385\t    470.24\n",
      "312\t    0.1124\t    0.0394\t    0.0056\t    0.4396\t    470.92\n",
      "313\t    0.1123\t    0.0394\t    0.0056\t    0.4407\t    471.59\n",
      "314\t    0.1122\t    0.0395\t    0.0056\t    0.4419\t    472.27\n",
      "315\t    0.1122\t    0.0395\t    0.0056\t    0.4430\t    472.94\n",
      "316\t    0.1121\t    0.0396\t    0.0055\t    0.4441\t    473.61\n",
      "317\t    0.1120\t    0.0396\t    0.0055\t    0.4452\t    474.27\n",
      "318\t    0.1119\t    0.0397\t    0.0055\t    0.4463\t    474.94\n",
      "319\t    0.1118\t    0.0397\t    0.0055\t    0.4475\t    475.60\n",
      "320\t    0.1118\t    0.0398\t    0.0055\t    0.4486\t    476.26\n",
      "321\t    0.1117\t    0.0399\t    0.0055\t    0.4497\t    476.92\n",
      "322\t    0.1116\t    0.0399\t    0.0054\t    0.4508\t    477.57\n",
      "323\t    0.1115\t    0.0400\t    0.0054\t    0.4519\t    478.23\n",
      "324\t    0.1115\t    0.0400\t    0.0054\t    0.4530\t    478.88\n",
      "325\t    0.1114\t    0.0401\t    0.0054\t    0.4541\t    479.53\n",
      "326\t    0.1113\t    0.0401\t    0.0054\t    0.4553\t    480.18\n",
      "327\t    0.1112\t    0.0402\t    0.0054\t    0.4564\t    480.82\n",
      "328\t    0.1112\t    0.0402\t    0.0053\t    0.4575\t    481.47\n",
      "329\t    0.1111\t    0.0403\t    0.0053\t    0.4586\t    482.11\n",
      "330\t    0.1110\t    0.0403\t    0.0053\t    0.4597\t    482.75\n",
      "331\t    0.1109\t    0.0404\t    0.0053\t    0.4608\t    483.39\n",
      "332\t    0.1109\t    0.0404\t    0.0053\t    0.4619\t    484.03\n",
      "333\t    0.1108\t    0.0405\t    0.0053\t    0.4630\t    484.66\n",
      "334\t    0.1107\t    0.0405\t    0.0052\t    0.4641\t    485.29\n",
      "335\t    0.1106\t    0.0406\t    0.0052\t    0.4652\t    485.92\n",
      "336\t    0.1106\t    0.0407\t    0.0052\t    0.4663\t    486.55\n",
      "337\t    0.1105\t    0.0407\t    0.0052\t    0.4675\t    487.18\n",
      "338\t    0.1104\t    0.0408\t    0.0052\t    0.4686\t    487.80\n",
      "339\t    0.1103\t    0.0408\t    0.0052\t    0.4697\t    488.43\n",
      "340\t    0.1103\t    0.0409\t    0.0052\t    0.4708\t    489.05\n",
      "341\t    0.1102\t    0.0409\t    0.0051\t    0.4719\t    489.67\n",
      "342\t    0.1101\t    0.0410\t    0.0051\t    0.4730\t    490.29\n",
      "343\t    0.1100\t    0.0410\t    0.0051\t    0.4741\t    490.90\n",
      "344\t    0.1100\t    0.0411\t    0.0051\t    0.4752\t    491.52\n",
      "345\t    0.1099\t    0.0411\t    0.0051\t    0.4763\t    492.13\n",
      "346\t    0.1098\t    0.0412\t    0.0051\t    0.4774\t    492.74\n",
      "347\t    0.1098\t    0.0412\t    0.0050\t    0.4785\t    493.35\n",
      "348\t    0.1097\t    0.0413\t    0.0050\t    0.4796\t    493.96\n",
      "349\t    0.1096\t    0.0413\t    0.0050\t    0.4806\t    494.56\n",
      "350\t    0.1096\t    0.0414\t    0.0050\t    0.4817\t    495.16\n",
      "351\t    0.1095\t    0.0414\t    0.0050\t    0.4828\t    495.77\n",
      "352\t    0.1094\t    0.0415\t    0.0050\t    0.4839\t    496.37\n",
      "353\t    0.1093\t    0.0415\t    0.0050\t    0.4850\t    496.97\n",
      "354\t    0.1093\t    0.0416\t    0.0049\t    0.4861\t    497.56\n",
      "355\t    0.1092\t    0.0416\t    0.0049\t    0.4872\t    498.16\n",
      "356\t    0.1091\t    0.0417\t    0.0049\t    0.4883\t    498.75\n",
      "357\t    0.1091\t    0.0417\t    0.0049\t    0.4894\t    499.34\n",
      "358\t    0.1090\t    0.0418\t    0.0049\t    0.4905\t    499.93\n",
      "359\t    0.1089\t    0.0418\t    0.0049\t    0.4916\t    500.52\n",
      "360\t    0.1089\t    0.0419\t    0.0049\t    0.4927\t    501.11\n",
      "361\t    0.1088\t    0.0419\t    0.0048\t    0.4937\t    501.69\n",
      "362\t    0.1087\t    0.0420\t    0.0048\t    0.4948\t    502.28\n",
      "363\t    0.1087\t    0.0420\t    0.0048\t    0.4959\t    502.86\n",
      "364\t    0.1086\t    0.0421\t    0.0048\t    0.4970\t    503.44\n",
      "365\t    0.1085\t    0.0421\t    0.0048\t    0.4981\t    504.02\n",
      "366\t    0.1085\t    0.0421\t    0.0048\t    0.4992\t    504.60\n",
      "367\t    0.1084\t    0.0422\t    0.0048\t    0.5003\t    505.17\n",
      "368\t    0.1083\t    0.0422\t    0.0048\t    0.5013\t    505.74\n",
      "369\t    0.1083\t    0.0423\t    0.0047\t    0.5024\t    506.32\n",
      "370\t    0.1082\t    0.0423\t    0.0047\t    0.5035\t    506.89\n",
      "371\t    0.1081\t    0.0424\t    0.0047\t    0.5046\t    507.46\n",
      "372\t    0.1081\t    0.0424\t    0.0047\t    0.5057\t    508.03\n",
      "373\t    0.1080\t    0.0425\t    0.0047\t    0.5067\t    508.59\n",
      "374\t    0.1079\t    0.0425\t    0.0047\t    0.5078\t    509.16\n",
      "375\t    0.1079\t    0.0426\t    0.0047\t    0.5089\t    509.72\n",
      "376\t    0.1078\t    0.0426\t    0.0047\t    0.5100\t    510.28\n",
      "377\t    0.1077\t    0.0427\t    0.0046\t    0.5111\t    510.84\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "378\t    0.1077\t    0.0427\t    0.0046\t    0.5121\t    511.40\n",
      "379\t    0.1076\t    0.0428\t    0.0046\t    0.5132\t    511.96\n",
      "380\t    0.1075\t    0.0428\t    0.0046\t    0.5143\t    512.51\n",
      "381\t    0.1075\t    0.0428\t    0.0046\t    0.5154\t    513.07\n",
      "382\t    0.1074\t    0.0429\t    0.0046\t    0.5164\t    513.62\n",
      "383\t    0.1073\t    0.0429\t    0.0046\t    0.5175\t    514.17\n",
      "384\t    0.1073\t    0.0430\t    0.0046\t    0.5186\t    514.72\n",
      "385\t    0.1072\t    0.0430\t    0.0045\t    0.5196\t    515.27\n",
      "386\t    0.1072\t    0.0431\t    0.0045\t    0.5207\t    515.82\n",
      "387\t    0.1071\t    0.0431\t    0.0045\t    0.5218\t    516.37\n",
      "388\t    0.1070\t    0.0432\t    0.0045\t    0.5229\t    516.91\n",
      "389\t    0.1070\t    0.0432\t    0.0045\t    0.5239\t    517.45\n",
      "390\t    0.1069\t    0.0433\t    0.0045\t    0.5250\t    517.99\n",
      "391\t    0.1068\t    0.0433\t    0.0045\t    0.5261\t    518.53\n",
      "392\t    0.1068\t    0.0433\t    0.0045\t    0.5271\t    519.07\n",
      "393\t    0.1067\t    0.0434\t    0.0045\t    0.5282\t    519.61\n",
      "394\t    0.1067\t    0.0434\t    0.0044\t    0.5293\t    520.15\n",
      "395\t    0.1066\t    0.0435\t    0.0044\t    0.5303\t    520.68\n",
      "396\t    0.1065\t    0.0435\t    0.0044\t    0.5314\t    521.21\n",
      "397\t    0.1065\t    0.0436\t    0.0044\t    0.5325\t    521.75\n",
      "398\t    0.1064\t    0.0436\t    0.0044\t    0.5335\t    522.28\n",
      "399\t    0.1064\t    0.0437\t    0.0044\t    0.5346\t    522.81\n",
      "400\t    0.1063\t    0.0437\t    0.0044\t    0.5356\t    523.33\n",
      "401\t    0.1062\t    0.0437\t    0.0044\t    0.5367\t    523.86\n",
      "402\t    0.1062\t    0.0438\t    0.0044\t    0.5378\t    524.39\n",
      "403\t    0.1061\t    0.0438\t    0.0043\t    0.5388\t    524.91\n",
      "404\t    0.1061\t    0.0439\t    0.0043\t    0.5399\t    525.43\n",
      "405\t    0.1060\t    0.0439\t    0.0043\t    0.5409\t    525.95\n",
      "406\t    0.1059\t    0.0440\t    0.0043\t    0.5420\t    526.47\n",
      "407\t    0.1059\t    0.0440\t    0.0043\t    0.5431\t    526.99\n",
      "408\t    0.1058\t    0.0440\t    0.0043\t    0.5441\t    527.51\n",
      "409\t    0.1058\t    0.0441\t    0.0043\t    0.5452\t    528.03\n",
      "410\t    0.1057\t    0.0441\t    0.0043\t    0.5462\t    528.54\n",
      "411\t    0.1056\t    0.0442\t    0.0043\t    0.5473\t    529.06\n",
      "412\t    0.1056\t    0.0442\t    0.0042\t    0.5483\t    529.57\n",
      "413\t    0.1055\t    0.0443\t    0.0042\t    0.5494\t    530.08\n",
      "414\t    0.1055\t    0.0443\t    0.0042\t    0.5505\t    530.59\n",
      "415\t    0.1054\t    0.0443\t    0.0042\t    0.5515\t    531.10\n",
      "416\t    0.1053\t    0.0444\t    0.0042\t    0.5526\t    531.61\n",
      "417\t    0.1053\t    0.0444\t    0.0042\t    0.5536\t    532.11\n",
      "418\t    0.1052\t    0.0445\t    0.0042\t    0.5547\t    532.62\n",
      "419\t    0.1052\t    0.0445\t    0.0042\t    0.5557\t    533.12\n",
      "420\t    0.1051\t    0.0446\t    0.0042\t    0.5568\t    533.62\n",
      "421\t    0.1051\t    0.0446\t    0.0042\t    0.5578\t    534.13\n",
      "422\t    0.1050\t    0.0446\t    0.0041\t    0.5589\t    534.63\n",
      "423\t    0.1049\t    0.0447\t    0.0041\t    0.5599\t    535.13\n",
      "424\t    0.1049\t    0.0447\t    0.0041\t    0.5610\t    535.62\n",
      "425\t    0.1048\t    0.0448\t    0.0041\t    0.5620\t    536.12\n",
      "426\t    0.1048\t    0.0448\t    0.0041\t    0.5631\t    536.62\n",
      "427\t    0.1047\t    0.0448\t    0.0041\t    0.5641\t    537.11\n",
      "428\t    0.1047\t    0.0449\t    0.0041\t    0.5652\t    537.60\n",
      "429\t    0.1046\t    0.0449\t    0.0041\t    0.5662\t    538.10\n",
      "430\t    0.1045\t    0.0450\t    0.0041\t    0.5672\t    538.59\n",
      "431\t    0.1045\t    0.0450\t    0.0041\t    0.5683\t    539.08\n",
      "432\t    0.1044\t    0.0450\t    0.0040\t    0.5693\t    539.56\n",
      "433\t    0.1044\t    0.0451\t    0.0040\t    0.5704\t    540.05\n",
      "434\t    0.1043\t    0.0451\t    0.0040\t    0.5714\t    540.54\n",
      "435\t    0.1043\t    0.0452\t    0.0040\t    0.5725\t    541.02\n",
      "436\t    0.1042\t    0.0452\t    0.0040\t    0.5735\t    541.51\n",
      "437\t    0.1042\t    0.0452\t    0.0040\t    0.5745\t    541.99\n",
      "438\t    0.1041\t    0.0453\t    0.0040\t    0.5756\t    542.47\n",
      "439\t    0.1040\t    0.0453\t    0.0040\t    0.5766\t    542.95\n",
      "440\t    0.1040\t    0.0454\t    0.0040\t    0.5777\t    543.43\n",
      "441\t    0.1039\t    0.0454\t    0.0040\t    0.5787\t    543.91\n",
      "442\t    0.1039\t    0.0454\t    0.0040\t    0.5797\t    544.39\n",
      "443\t    0.1038\t    0.0455\t    0.0039\t    0.5808\t    544.87\n",
      "444\t    0.1038\t    0.0455\t    0.0039\t    0.5818\t    545.34\n",
      "445\t    0.1037\t    0.0456\t    0.0039\t    0.5829\t    545.81\n",
      "446\t    0.1037\t    0.0456\t    0.0039\t    0.5839\t    546.29\n",
      "447\t    0.1036\t    0.0456\t    0.0039\t    0.5849\t    546.76\n",
      "448\t    0.1036\t    0.0457\t    0.0039\t    0.5860\t    547.23\n",
      "449\t    0.1035\t    0.0457\t    0.0039\t    0.5870\t    547.70\n",
      "450\t    0.1035\t    0.0458\t    0.0039\t    0.5880\t    548.17\n",
      "451\t    0.1034\t    0.0458\t    0.0039\t    0.5891\t    548.64\n",
      "452\t    0.1033\t    0.0458\t    0.0039\t    0.5901\t    549.10\n",
      "453\t    0.1033\t    0.0459\t    0.0039\t    0.5911\t    549.57\n",
      "454\t    0.1032\t    0.0459\t    0.0038\t    0.5922\t    550.04\n",
      "455\t    0.1032\t    0.0459\t    0.0038\t    0.5932\t    550.50\n",
      "456\t    0.1031\t    0.0460\t    0.0038\t    0.5942\t    550.96\n",
      "457\t    0.1031\t    0.0460\t    0.0038\t    0.5953\t    551.42\n",
      "458\t    0.1030\t    0.0461\t    0.0038\t    0.5963\t    551.88\n",
      "459\t    0.1030\t    0.0461\t    0.0038\t    0.5973\t    552.34\n",
      "460\t    0.1029\t    0.0461\t    0.0038\t    0.5983\t    552.80\n",
      "461\t    0.1029\t    0.0462\t    0.0038\t    0.5994\t    553.26\n",
      "462\t    0.1028\t    0.0462\t    0.0038\t    0.6004\t    553.72\n",
      "463\t    0.1028\t    0.0463\t    0.0038\t    0.6014\t    554.17\n",
      "464\t    0.1027\t    0.0463\t    0.0038\t    0.6025\t    554.63\n",
      "465\t    0.1027\t    0.0463\t    0.0038\t    0.6035\t    555.08\n",
      "466\t    0.1026\t    0.0464\t    0.0037\t    0.6045\t    555.53\n",
      "467\t    0.1026\t    0.0464\t    0.0037\t    0.6055\t    555.99\n",
      "468\t    0.1025\t    0.0464\t    0.0037\t    0.6066\t    556.44\n",
      "469\t    0.1025\t    0.0465\t    0.0037\t    0.6076\t    556.89\n",
      "470\t    0.1024\t    0.0465\t    0.0037\t    0.6086\t    557.33\n",
      "471\t    0.1024\t    0.0465\t    0.0037\t    0.6096\t    557.78\n",
      "472\t    0.1023\t    0.0466\t    0.0037\t    0.6106\t    558.23\n",
      "473\t    0.1023\t    0.0466\t    0.0037\t    0.6117\t    558.68\n",
      "474\t    0.1022\t    0.0467\t    0.0037\t    0.6127\t    559.12\n",
      "475\t    0.1022\t    0.0467\t    0.0037\t    0.6137\t    559.56\n",
      "476\t    0.1021\t    0.0467\t    0.0037\t    0.6147\t    560.01\n",
      "477\t    0.1021\t    0.0468\t    0.0037\t    0.6158\t    560.45\n",
      "478\t    0.1020\t    0.0468\t    0.0037\t    0.6168\t    560.89\n",
      "479\t    0.1020\t    0.0468\t    0.0036\t    0.6178\t    561.33\n",
      "480\t    0.1019\t    0.0469\t    0.0036\t    0.6188\t    561.77\n",
      "481\t    0.1019\t    0.0469\t    0.0036\t    0.6198\t    562.21\n",
      "482\t    0.1018\t    0.0470\t    0.0036\t    0.6208\t    562.65\n",
      "483\t    0.1018\t    0.0470\t    0.0036\t    0.6219\t    563.08\n",
      "484\t    0.1017\t    0.0470\t    0.0036\t    0.6229\t    563.52\n",
      "485\t    0.1017\t    0.0471\t    0.0036\t    0.6239\t    563.95\n",
      "486\t    0.1016\t    0.0471\t    0.0036\t    0.6249\t    564.39\n",
      "487\t    0.1016\t    0.0471\t    0.0036\t    0.6259\t    564.82\n",
      "488\t    0.1015\t    0.0472\t    0.0036\t    0.6269\t    565.25\n",
      "489\t    0.1015\t    0.0472\t    0.0036\t    0.6280\t    565.68\n",
      "490\t    0.1014\t    0.0472\t    0.0036\t    0.6290\t    566.11\n",
      "491\t    0.1014\t    0.0473\t    0.0036\t    0.6300\t    566.54\n",
      "492\t    0.1013\t    0.0473\t    0.0035\t    0.6310\t    566.97\n",
      "493\t    0.1013\t    0.0473\t    0.0035\t    0.6320\t    567.40\n",
      "494\t    0.1012\t    0.0474\t    0.0035\t    0.6330\t    567.83\n",
      "495\t    0.1012\t    0.0474\t    0.0035\t    0.6340\t    568.25\n",
      "496\t    0.1011\t    0.0475\t    0.0035\t    0.6350\t    568.68\n",
      "497\t    0.1011\t    0.0475\t    0.0035\t    0.6361\t    569.10\n",
      "498\t    0.1010\t    0.0475\t    0.0035\t    0.6371\t    569.52\n",
      "499\t    0.1010\t    0.0476\t    0.0035\t    0.6381\t    569.95\n",
      "500\t    0.1009\t    0.0476\t    0.0035\t    0.6391\t    570.37\n",
      "501\t    0.1009\t    0.0476\t    0.0035\t    0.6401\t    570.79\n",
      "502\t    0.1009\t    0.0477\t    0.0035\t    0.6411\t    571.21\n",
      "503\t    0.1008\t    0.0477\t    0.0035\t    0.6421\t    571.63\n",
      "504\t    0.1008\t    0.0477\t    0.0035\t    0.6431\t    572.05\n",
      "505\t    0.1007\t    0.0478\t    0.0035\t    0.6441\t    572.46\n",
      "506\t    0.1007\t    0.0478\t    0.0034\t    0.6451\t    572.88\n",
      "507\t    0.1006\t    0.0478\t    0.0034\t    0.6461\t    573.30\n",
      "508\t    0.1006\t    0.0479\t    0.0034\t    0.6471\t    573.71\n",
      "509\t    0.1005\t    0.0479\t    0.0034\t    0.6481\t    574.13\n",
      "510\t    0.1005\t    0.0479\t    0.0034\t    0.6491\t    574.54\n",
      "511\t    0.1004\t    0.0480\t    0.0034\t    0.6501\t    574.95\n",
      "512\t    0.1004\t    0.0480\t    0.0034\t    0.6512\t    575.36\n",
      "513\t    0.1003\t    0.0480\t    0.0034\t    0.6522\t    575.77\n",
      "514\t    0.1003\t    0.0481\t    0.0034\t    0.6532\t    576.18\n",
      "515\t    0.1002\t    0.0481\t    0.0034\t    0.6542\t    576.59\n",
      "516\t    0.1002\t    0.0481\t    0.0034\t    0.6552\t    577.00\n",
      "517\t    0.1002\t    0.0482\t    0.0034\t    0.6562\t    577.41\n",
      "518\t    0.1001\t    0.0482\t    0.0034\t    0.6572\t    577.82\n",
      "519\t    0.1001\t    0.0482\t    0.0034\t    0.6582\t    578.22\n",
      "520\t    0.1000\t    0.0483\t    0.0034\t    0.6592\t    578.63\n",
      "521\t    0.1000\t    0.0483\t    0.0033\t    0.6602\t    579.03\n",
      "522\t    0.0999\t    0.0483\t    0.0033\t    0.6612\t    579.44\n",
      "523\t    0.0999\t    0.0484\t    0.0033\t    0.6622\t    579.84\n",
      "524\t    0.0998\t    0.0484\t    0.0033\t    0.6632\t    580.24\n",
      "525\t    0.0998\t    0.0484\t    0.0033\t    0.6642\t    580.64\n",
      "526\t    0.0997\t    0.0485\t    0.0033\t    0.6652\t    581.04\n",
      "527\t    0.0997\t    0.0485\t    0.0033\t    0.6661\t    581.44\n",
      "528\t    0.0997\t    0.0485\t    0.0033\t    0.6671\t    581.84\n",
      "529\t    0.0996\t    0.0486\t    0.0033\t    0.6681\t    582.24\n",
      "530\t    0.0996\t    0.0486\t    0.0033\t    0.6691\t    582.64\n",
      "531\t    0.0995\t    0.0486\t    0.0033\t    0.6701\t    583.03\n",
      "532\t    0.0995\t    0.0487\t    0.0033\t    0.6711\t    583.43\n",
      "533\t    0.0994\t    0.0487\t    0.0033\t    0.6721\t    583.82\n",
      "534\t    0.0994\t    0.0487\t    0.0033\t    0.6731\t    584.22\n",
      "535\t    0.0993\t    0.0488\t    0.0033\t    0.6741\t    584.61\n",
      "536\t    0.0993\t    0.0488\t    0.0033\t    0.6751\t    585.01\n",
      "537\t    0.0993\t    0.0488\t    0.0032\t    0.6761\t    585.40\n",
      "538\t    0.0992\t    0.0489\t    0.0032\t    0.6771\t    585.79\n",
      "539\t    0.0992\t    0.0489\t    0.0032\t    0.6781\t    586.18\n",
      "540\t    0.0991\t    0.0489\t    0.0032\t    0.6791\t    586.57\n",
      "541\t    0.0991\t    0.0490\t    0.0032\t    0.6801\t    586.96\n",
      "542\t    0.0990\t    0.0490\t    0.0032\t    0.6810\t    587.35\n",
      "543\t    0.0990\t    0.0490\t    0.0032\t    0.6820\t    587.74\n",
      "544\t    0.0990\t    0.0491\t    0.0032\t    0.6830\t    588.12\n",
      "545\t    0.0989\t    0.0491\t    0.0032\t    0.6840\t    588.51\n",
      "546\t    0.0989\t    0.0491\t    0.0032\t    0.6850\t    588.90\n",
      "547\t    0.0988\t    0.0492\t    0.0032\t    0.6860\t    589.28\n",
      "548\t    0.0988\t    0.0492\t    0.0032\t    0.6870\t    589.67\n",
      "549\t    0.0987\t    0.0492\t    0.0032\t    0.6880\t    590.05\n",
      "550\t    0.0987\t    0.0492\t    0.0032\t    0.6889\t    590.43\n",
      "551\t    0.0987\t    0.0493\t    0.0032\t    0.6899\t    590.81\n",
      "552\t    0.0986\t    0.0493\t    0.0032\t    0.6909\t    591.20\n",
      "553\t    0.0986\t    0.0493\t    0.0031\t    0.6919\t    591.58\n",
      "554\t    0.0985\t    0.0494\t    0.0031\t    0.6929\t    591.96\n",
      "555\t    0.0985\t    0.0494\t    0.0031\t    0.6939\t    592.34\n",
      "556\t    0.0984\t    0.0494\t    0.0031\t    0.6949\t    592.71\n",
      "557\t    0.0984\t    0.0495\t    0.0031\t    0.6958\t    593.09\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "558\t    0.0984\t    0.0495\t    0.0031\t    0.6968\t    593.47\n",
      "559\t    0.0983\t    0.0495\t    0.0031\t    0.6978\t    593.85\n",
      "560\t    0.0983\t    0.0496\t    0.0031\t    0.6988\t    594.22\n",
      "561\t    0.0982\t    0.0496\t    0.0031\t    0.6998\t    594.60\n",
      "562\t    0.0982\t    0.0496\t    0.0031\t    0.7007\t    594.97\n",
      "563\t    0.0982\t    0.0497\t    0.0031\t    0.7017\t    595.35\n",
      "564\t    0.0981\t    0.0497\t    0.0031\t    0.7027\t    595.72\n",
      "565\t    0.0981\t    0.0497\t    0.0031\t    0.7037\t    596.09\n",
      "566\t    0.0980\t    0.0497\t    0.0031\t    0.7047\t    596.46\n",
      "567\t    0.0980\t    0.0498\t    0.0031\t    0.7057\t    596.84\n",
      "568\t    0.0979\t    0.0498\t    0.0031\t    0.7066\t    597.21\n",
      "569\t    0.0979\t    0.0498\t    0.0031\t    0.7076\t    597.58\n",
      "570\t    0.0979\t    0.0499\t    0.0031\t    0.7086\t    597.95\n",
      "571\t    0.0978\t    0.0499\t    0.0030\t    0.7096\t    598.31\n",
      "572\t    0.0978\t    0.0499\t    0.0030\t    0.7105\t    598.68\n",
      "573\t    0.0977\t    0.0500\t    0.0030\t    0.7115\t    599.05\n",
      "574\t    0.0977\t    0.0500\t    0.0030\t    0.7125\t    599.42\n",
      "575\t    0.0977\t    0.0500\t    0.0030\t    0.7135\t    599.78\n",
      "576\t    0.0976\t    0.0501\t    0.0030\t    0.7144\t    600.15\n",
      "577\t    0.0976\t    0.0501\t    0.0030\t    0.7154\t    600.51\n",
      "578\t    0.0975\t    0.0501\t    0.0030\t    0.7164\t    600.88\n",
      "579\t    0.0975\t    0.0501\t    0.0030\t    0.7174\t    601.24\n",
      "580\t    0.0975\t    0.0502\t    0.0030\t    0.7183\t    601.60\n",
      "581\t    0.0974\t    0.0502\t    0.0030\t    0.7193\t    601.96\n",
      "582\t    0.0974\t    0.0502\t    0.0030\t    0.7203\t    602.33\n",
      "583\t    0.0973\t    0.0503\t    0.0030\t    0.7213\t    602.69\n",
      "584\t    0.0973\t    0.0503\t    0.0030\t    0.7222\t    603.05\n",
      "585\t    0.0973\t    0.0503\t    0.0030\t    0.7232\t    603.41\n",
      "586\t    0.0972\t    0.0504\t    0.0030\t    0.7242\t    603.77\n",
      "587\t    0.0972\t    0.0504\t    0.0030\t    0.7252\t    604.13\n",
      "588\t    0.0971\t    0.0504\t    0.0030\t    0.7261\t    604.48\n",
      "589\t    0.0971\t    0.0504\t    0.0030\t    0.7271\t    604.84\n",
      "590\t    0.0971\t    0.0505\t    0.0029\t    0.7281\t    605.20\n",
      "591\t    0.0970\t    0.0505\t    0.0029\t    0.7290\t    605.55\n",
      "592\t    0.0970\t    0.0505\t    0.0029\t    0.7300\t    605.91\n",
      "593\t    0.0969\t    0.0506\t    0.0029\t    0.7310\t    606.26\n",
      "594\t    0.0969\t    0.0506\t    0.0029\t    0.7319\t    606.62\n",
      "595\t    0.0969\t    0.0506\t    0.0029\t    0.7329\t    606.97\n",
      "596\t    0.0968\t    0.0506\t    0.0029\t    0.7339\t    607.32\n",
      "597\t    0.0968\t    0.0507\t    0.0029\t    0.7348\t    607.68\n",
      "598\t    0.0967\t    0.0507\t    0.0029\t    0.7358\t    608.03\n",
      "599\t    0.0967\t    0.0507\t    0.0029\t    0.7368\t    608.38\n",
      "600\t    0.0967\t    0.0508\t    0.0029\t    0.7377\t    608.73\n",
      "601\t    0.0966\t    0.0508\t    0.0029\t    0.7387\t    609.08\n",
      "602\t    0.0966\t    0.0508\t    0.0029\t    0.7397\t    609.43\n",
      "603\t    0.0966\t    0.0508\t    0.0029\t    0.7406\t    609.78\n",
      "604\t    0.0965\t    0.0509\t    0.0029\t    0.7416\t    610.13\n",
      "605\t    0.0965\t    0.0509\t    0.0029\t    0.7426\t    610.47\n",
      "606\t    0.0964\t    0.0509\t    0.0029\t    0.7435\t    610.82\n",
      "607\t    0.0964\t    0.0510\t    0.0029\t    0.7445\t    611.17\n",
      "608\t    0.0964\t    0.0510\t    0.0029\t    0.7455\t    611.51\n",
      "609\t    0.0963\t    0.0510\t    0.0029\t    0.7464\t    611.86\n",
      "610\t    0.0963\t    0.0510\t    0.0028\t    0.7474\t    612.20\n",
      "611\t    0.0962\t    0.0511\t    0.0028\t    0.7483\t    612.55\n",
      "612\t    0.0962\t    0.0511\t    0.0028\t    0.7493\t    612.89\n",
      "613\t    0.0962\t    0.0511\t    0.0028\t    0.7503\t    613.23\n",
      "614\t    0.0961\t    0.0512\t    0.0028\t    0.7512\t    613.58\n",
      "615\t    0.0961\t    0.0512\t    0.0028\t    0.7522\t    613.92\n",
      "616\t    0.0961\t    0.0512\t    0.0028\t    0.7531\t    614.26\n",
      "617\t    0.0960\t    0.0512\t    0.0028\t    0.7541\t    614.60\n",
      "618\t    0.0960\t    0.0513\t    0.0028\t    0.7551\t    614.94\n",
      "619\t    0.0959\t    0.0513\t    0.0028\t    0.7560\t    615.28\n",
      "620\t    0.0959\t    0.0513\t    0.0028\t    0.7570\t    615.62\n",
      "621\t    0.0959\t    0.0514\t    0.0028\t    0.7579\t    615.96\n",
      "622\t    0.0958\t    0.0514\t    0.0028\t    0.7589\t    616.30\n",
      "623\t    0.0958\t    0.0514\t    0.0028\t    0.7599\t    616.63\n",
      "624\t    0.0958\t    0.0514\t    0.0028\t    0.7608\t    616.97\n",
      "625\t    0.0957\t    0.0515\t    0.0028\t    0.7618\t    617.31\n",
      "626\t    0.0957\t    0.0515\t    0.0028\t    0.7627\t    617.64\n",
      "627\t    0.0956\t    0.0515\t    0.0028\t    0.7637\t    617.98\n",
      "628\t    0.0956\t    0.0516\t    0.0028\t    0.7646\t    618.31\n",
      "629\t    0.0956\t    0.0516\t    0.0028\t    0.7656\t    618.65\n",
      "630\t    0.0955\t    0.0516\t    0.0028\t    0.7665\t    618.98\n",
      "631\t    0.0955\t    0.0516\t    0.0028\t    0.7675\t    619.32\n",
      "632\t    0.0955\t    0.0517\t    0.0027\t    0.7685\t    619.65\n",
      "633\t    0.0954\t    0.0517\t    0.0027\t    0.7694\t    619.98\n",
      "634\t    0.0954\t    0.0517\t    0.0027\t    0.7704\t    620.31\n",
      "635\t    0.0954\t    0.0517\t    0.0027\t    0.7713\t    620.64\n",
      "636\t    0.0953\t    0.0518\t    0.0027\t    0.7723\t    620.97\n",
      "637\t    0.0953\t    0.0518\t    0.0027\t    0.7732\t    621.30\n",
      "638\t    0.0952\t    0.0518\t    0.0027\t    0.7742\t    621.63\n",
      "639\t    0.0952\t    0.0519\t    0.0027\t    0.7751\t    621.96\n",
      "640\t    0.0952\t    0.0519\t    0.0027\t    0.7761\t    622.29\n",
      "641\t    0.0951\t    0.0519\t    0.0027\t    0.7770\t    622.62\n",
      "642\t    0.0951\t    0.0519\t    0.0027\t    0.7780\t    622.95\n",
      "643\t    0.0951\t    0.0520\t    0.0027\t    0.7789\t    623.27\n",
      "644\t    0.0950\t    0.0520\t    0.0027\t    0.7799\t    623.60\n",
      "645\t    0.0950\t    0.0520\t    0.0027\t    0.7808\t    623.92\n",
      "646\t    0.0950\t    0.0520\t    0.0027\t    0.7818\t    624.25\n",
      "647\t    0.0949\t    0.0521\t    0.0027\t    0.7827\t    624.57\n",
      "648\t    0.0949\t    0.0521\t    0.0027\t    0.7837\t    624.90\n",
      "649\t    0.0949\t    0.0521\t    0.0027\t    0.7846\t    625.22\n",
      "650\t    0.0948\t    0.0521\t    0.0027\t    0.7856\t    625.55\n",
      "651\t    0.0948\t    0.0522\t    0.0027\t    0.7865\t    625.87\n",
      "652\t    0.0947\t    0.0522\t    0.0027\t    0.7875\t    626.19\n",
      "653\t    0.0947\t    0.0522\t    0.0027\t    0.7884\t    626.51\n",
      "654\t    0.0947\t    0.0523\t    0.0027\t    0.7894\t    626.83\n",
      "655\t    0.0946\t    0.0523\t    0.0027\t    0.7903\t    627.15\n",
      "656\t    0.0946\t    0.0523\t    0.0026\t    0.7912\t    627.48\n",
      "657\t    0.0946\t    0.0523\t    0.0026\t    0.7922\t    627.80\n",
      "658\t    0.0945\t    0.0524\t    0.0026\t    0.7931\t    628.11\n",
      "659\t    0.0945\t    0.0524\t    0.0026\t    0.7941\t    628.43\n",
      "660\t    0.0945\t    0.0524\t    0.0026\t    0.7950\t    628.75\n",
      "661\t    0.0944\t    0.0524\t    0.0026\t    0.7960\t    629.07\n",
      "662\t    0.0944\t    0.0525\t    0.0026\t    0.7969\t    629.39\n",
      "663\t    0.0944\t    0.0525\t    0.0026\t    0.7979\t    629.70\n",
      "664\t    0.0943\t    0.0525\t    0.0026\t    0.7988\t    630.02\n",
      "665\t    0.0943\t    0.0525\t    0.0026\t    0.7997\t    630.34\n",
      "666\t    0.0943\t    0.0526\t    0.0026\t    0.8007\t    630.65\n",
      "667\t    0.0942\t    0.0526\t    0.0026\t    0.8016\t    630.97\n",
      "668\t    0.0941\t    0.0526\t    0.0026\t    0.8026\t    631.28\n",
      "669\t    0.0941\t    0.0526\t    0.0026\t    0.8035\t    631.60\n",
      "670\t    0.0941\t    0.0527\t    0.0026\t    0.8044\t    631.91\n",
      "671\t    0.0940\t    0.0527\t    0.0026\t    0.8054\t    632.23\n",
      "672\t    0.0940\t    0.0527\t    0.0026\t    0.8063\t    632.54\n",
      "673\t    0.0940\t    0.0528\t    0.0026\t    0.8073\t    632.85\n",
      "674\t    0.0939\t    0.0528\t    0.0026\t    0.8082\t    633.16\n",
      "675\t    0.0939\t    0.0528\t    0.0026\t    0.8091\t    633.47\n",
      "676\t    0.0939\t    0.0528\t    0.0026\t    0.8101\t    633.78\n",
      "677\t    0.0938\t    0.0529\t    0.0026\t    0.8110\t    634.09\n",
      "678\t    0.0938\t    0.0529\t    0.0026\t    0.8120\t    634.40\n",
      "679\t    0.0938\t    0.0529\t    0.0026\t    0.8129\t    634.71\n",
      "680\t    0.0937\t    0.0529\t    0.0026\t    0.8138\t    635.02\n",
      "681\t    0.0937\t    0.0530\t    0.0025\t    0.8148\t    635.33\n",
      "682\t    0.0937\t    0.0530\t    0.0025\t    0.8157\t    635.64\n",
      "683\t    0.0936\t    0.0530\t    0.0025\t    0.8166\t    635.95\n",
      "684\t    0.0936\t    0.0530\t    0.0025\t    0.8176\t    636.25\n",
      "685\t    0.0936\t    0.0531\t    0.0025\t    0.8185\t    636.56\n",
      "686\t    0.0935\t    0.0531\t    0.0025\t    0.8194\t    636.87\n",
      "687\t    0.0935\t    0.0531\t    0.0025\t    0.8204\t    637.17\n",
      "688\t    0.0935\t    0.0531\t    0.0025\t    0.8213\t    637.48\n",
      "689\t    0.0934\t    0.0532\t    0.0025\t    0.8222\t    637.78\n",
      "690\t    0.0934\t    0.0532\t    0.0025\t    0.8232\t    638.09\n",
      "691\t    0.0934\t    0.0532\t    0.0025\t    0.8241\t    638.39\n",
      "692\t    0.0933\t    0.0532\t    0.0025\t    0.8250\t    638.70\n",
      "693\t    0.0933\t    0.0533\t    0.0025\t    0.8260\t    639.00\n",
      "694\t    0.0933\t    0.0533\t    0.0025\t    0.8269\t    639.30\n",
      "695\t    0.0932\t    0.0533\t    0.0025\t    0.8278\t    639.60\n",
      "696\t    0.0932\t    0.0533\t    0.0025\t    0.8288\t    639.90\n",
      "697\t    0.0932\t    0.0534\t    0.0025\t    0.8297\t    640.21\n",
      "698\t    0.0931\t    0.0534\t    0.0025\t    0.8306\t    640.51\n",
      "699\t    0.0931\t    0.0534\t    0.0025\t    0.8316\t    640.81\n",
      "700\t    0.0931\t    0.0534\t    0.0025\t    0.8325\t    641.11\n",
      "701\t    0.0930\t    0.0535\t    0.0025\t    0.8334\t    641.41\n",
      "702\t    0.0930\t    0.0535\t    0.0025\t    0.8344\t    641.71\n",
      "703\t    0.0930\t    0.0535\t    0.0025\t    0.8353\t    642.00\n",
      "704\t    0.0930\t    0.0535\t    0.0025\t    0.8362\t    642.30\n",
      "705\t    0.0929\t    0.0536\t    0.0025\t    0.8371\t    642.60\n",
      "706\t    0.0929\t    0.0536\t    0.0025\t    0.8381\t    642.90\n",
      "707\t    0.0929\t    0.0536\t    0.0025\t    0.8390\t    643.20\n",
      "708\t    0.0928\t    0.0536\t    0.0024\t    0.8399\t    643.49\n",
      "709\t    0.0928\t    0.0537\t    0.0024\t    0.8409\t    643.79\n",
      "710\t    0.0928\t    0.0537\t    0.0024\t    0.8418\t    644.08\n",
      "711\t    0.0927\t    0.0537\t    0.0024\t    0.8427\t    644.38\n",
      "712\t    0.0927\t    0.0537\t    0.0024\t    0.8436\t    644.67\n",
      "713\t    0.0927\t    0.0538\t    0.0024\t    0.8446\t    644.97\n",
      "714\t    0.0926\t    0.0538\t    0.0024\t    0.8455\t    645.26\n",
      "715\t    0.0926\t    0.0538\t    0.0024\t    0.8464\t    645.56\n",
      "716\t    0.0926\t    0.0538\t    0.0024\t    0.8473\t    645.85\n",
      "717\t    0.0925\t    0.0538\t    0.0024\t    0.8483\t    646.14\n",
      "718\t    0.0925\t    0.0539\t    0.0024\t    0.8492\t    646.43\n",
      "719\t    0.0925\t    0.0539\t    0.0024\t    0.8501\t    646.73\n",
      "720\t    0.0924\t    0.0539\t    0.0024\t    0.8510\t    647.02\n",
      "721\t    0.0924\t    0.0539\t    0.0024\t    0.8520\t    647.31\n",
      "722\t    0.0924\t    0.0540\t    0.0024\t    0.8529\t    647.60\n",
      "723\t    0.0923\t    0.0540\t    0.0024\t    0.8538\t    647.89\n",
      "724\t    0.0923\t    0.0540\t    0.0024\t    0.8547\t    648.18\n",
      "725\t    0.0923\t    0.0540\t    0.0024\t    0.8557\t    648.47\n",
      "726\t    0.0923\t    0.0541\t    0.0024\t    0.8566\t    648.76\n",
      "727\t    0.0922\t    0.0541\t    0.0024\t    0.8575\t    649.05\n",
      "728\t    0.0922\t    0.0541\t    0.0024\t    0.8584\t    649.34\n",
      "729\t    0.0922\t    0.0541\t    0.0024\t    0.8593\t    649.62\n",
      "730\t    0.0921\t    0.0542\t    0.0024\t    0.8603\t    649.91\n",
      "731\t    0.0921\t    0.0542\t    0.0024\t    0.8612\t    650.20\n",
      "732\t    0.0921\t    0.0542\t    0.0024\t    0.8621\t    650.48\n",
      "733\t    0.0920\t    0.0542\t    0.0024\t    0.8630\t    650.77\n",
      "734\t    0.0920\t    0.0543\t    0.0024\t    0.8639\t    651.06\n",
      "735\t    0.0920\t    0.0543\t    0.0024\t    0.8649\t    651.34\n",
      "736\t    0.0919\t    0.0543\t    0.0024\t    0.8658\t    651.63\n",
      "737\t    0.0919\t    0.0543\t    0.0024\t    0.8667\t    651.91\n",
      "738\t    0.0919\t    0.0543\t    0.0023\t    0.8676\t    652.20\n",
      "739\t    0.0919\t    0.0544\t    0.0023\t    0.8685\t    652.48\n",
      "740\t    0.0918\t    0.0544\t    0.0023\t    0.8694\t    652.76\n",
      "741\t    0.0918\t    0.0544\t    0.0023\t    0.8704\t    653.05\n",
      "742\t    0.0918\t    0.0544\t    0.0023\t    0.8713\t    653.33\n",
      "743\t    0.0917\t    0.0545\t    0.0023\t    0.8722\t    653.61\n",
      "744\t    0.0917\t    0.0545\t    0.0023\t    0.8731\t    653.89\n",
      "745\t    0.0917\t    0.0545\t    0.0023\t    0.8740\t    654.17\n",
      "746\t    0.0916\t    0.0545\t    0.0023\t    0.8749\t    654.46\n",
      "747\t    0.0916\t    0.0546\t    0.0023\t    0.8759\t    654.74\n",
      "748\t    0.0916\t    0.0546\t    0.0023\t    0.8768\t    655.02\n",
      "749\t    0.0915\t    0.0546\t    0.0023\t    0.8777\t    655.30\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "750\t    0.0915\t    0.0546\t    0.0023\t    0.8786\t    655.58\n",
      "751\t    0.0915\t    0.0547\t    0.0023\t    0.8795\t    655.86\n",
      "752\t    0.0915\t    0.0547\t    0.0023\t    0.8804\t    656.14\n",
      "753\t    0.0914\t    0.0547\t    0.0023\t    0.8814\t    656.41\n",
      "754\t    0.0914\t    0.0547\t    0.0023\t    0.8823\t    656.69\n",
      "755\t    0.0914\t    0.0547\t    0.0023\t    0.8832\t    656.97\n",
      "756\t    0.0913\t    0.0548\t    0.0023\t    0.8841\t    657.25\n",
      "757\t    0.0913\t    0.0548\t    0.0023\t    0.8850\t    657.52\n",
      "758\t    0.0913\t    0.0548\t    0.0023\t    0.8859\t    657.80\n",
      "759\t    0.0913\t    0.0548\t    0.0023\t    0.8868\t    658.08\n",
      "760\t    0.0912\t    0.0549\t    0.0023\t    0.8877\t    658.35\n",
      "761\t    0.0912\t    0.0549\t    0.0023\t    0.8886\t    658.63\n",
      "762\t    0.0912\t    0.0549\t    0.0023\t    0.8896\t    658.90\n",
      "763\t    0.0911\t    0.0549\t    0.0023\t    0.8905\t    659.18\n",
      "764\t    0.0911\t    0.0549\t    0.0023\t    0.8914\t    659.45\n",
      "765\t    0.0911\t    0.0550\t    0.0023\t    0.8923\t    659.73\n",
      "766\t    0.0910\t    0.0550\t    0.0023\t    0.8932\t    660.00\n",
      "767\t    0.0910\t    0.0550\t    0.0023\t    0.8941\t    660.27\n",
      "768\t    0.0910\t    0.0550\t    0.0023\t    0.8950\t    660.55\n",
      "769\t    0.0910\t    0.0551\t    0.0023\t    0.8959\t    660.82\n",
      "770\t    0.0909\t    0.0551\t    0.0022\t    0.8968\t    661.09\n",
      "771\t    0.0909\t    0.0551\t    0.0022\t    0.8977\t    661.36\n",
      "772\t    0.0909\t    0.0551\t    0.0022\t    0.8987\t    661.64\n",
      "773\t    0.0908\t    0.0552\t    0.0022\t    0.8996\t    661.91\n",
      "774\t    0.0908\t    0.0552\t    0.0022\t    0.9005\t    662.18\n",
      "775\t    0.0908\t    0.0552\t    0.0022\t    0.9014\t    662.45\n",
      "776\t    0.0908\t    0.0552\t    0.0022\t    0.9023\t    662.72\n",
      "777\t    0.0907\t    0.0552\t    0.0022\t    0.9032\t    662.99\n",
      "778\t    0.0907\t    0.0553\t    0.0022\t    0.9041\t    663.26\n",
      "779\t    0.0907\t    0.0553\t    0.0022\t    0.9050\t    663.53\n",
      "780\t    0.0906\t    0.0553\t    0.0022\t    0.9059\t    663.80\n",
      "781\t    0.0906\t    0.0553\t    0.0022\t    0.9068\t    664.06\n",
      "782\t    0.0906\t    0.0554\t    0.0022\t    0.9077\t    664.33\n",
      "783\t    0.0905\t    0.0554\t    0.0022\t    0.9086\t    664.60\n",
      "784\t    0.0905\t    0.0554\t    0.0022\t    0.9095\t    664.87\n",
      "785\t    0.0905\t    0.0554\t    0.0022\t    0.9104\t    665.13\n",
      "786\t    0.0905\t    0.0554\t    0.0022\t    0.9113\t    665.40\n",
      "787\t    0.0904\t    0.0555\t    0.0022\t    0.9122\t    665.67\n",
      "788\t    0.0904\t    0.0555\t    0.0022\t    0.9131\t    665.93\n",
      "789\t    0.0904\t    0.0555\t    0.0022\t    0.9140\t    666.20\n",
      "790\t    0.0904\t    0.0555\t    0.0022\t    0.9150\t    666.46\n",
      "791\t    0.0903\t    0.0555\t    0.0022\t    0.9159\t    666.73\n",
      "792\t    0.0903\t    0.0556\t    0.0022\t    0.9168\t    666.99\n",
      "793\t    0.0903\t    0.0556\t    0.0022\t    0.9177\t    667.26\n",
      "794\t    0.0902\t    0.0556\t    0.0022\t    0.9186\t    667.52\n",
      "795\t    0.0902\t    0.0556\t    0.0022\t    0.9195\t    667.78\n",
      "796\t    0.0902\t    0.0557\t    0.0022\t    0.9204\t    668.05\n",
      "797\t    0.0902\t    0.0557\t    0.0022\t    0.9213\t    668.31\n",
      "798\t    0.0901\t    0.0557\t    0.0022\t    0.9222\t    668.57\n",
      "799\t    0.0901\t    0.0557\t    0.0022\t    0.9231\t    668.84\n",
      "800\t    0.0901\t    0.0557\t    0.0022\t    0.9240\t    669.10\n",
      "801\t    0.0900\t    0.0558\t    0.0022\t    0.9249\t    669.36\n",
      "802\t    0.0900\t    0.0558\t    0.0022\t    0.9258\t    669.62\n",
      "803\t    0.0900\t    0.0558\t    0.0022\t    0.9267\t    669.88\n",
      "804\t    0.0900\t    0.0558\t    0.0021\t    0.9276\t    670.14\n",
      "805\t    0.0899\t    0.0559\t    0.0021\t    0.9285\t    670.40\n",
      "806\t    0.0899\t    0.0559\t    0.0021\t    0.9294\t    670.66\n",
      "807\t    0.0899\t    0.0559\t    0.0021\t    0.9303\t    670.92\n",
      "808\t    0.0898\t    0.0559\t    0.0021\t    0.9312\t    671.18\n",
      "809\t    0.0898\t    0.0559\t    0.0021\t    0.9321\t    671.44\n",
      "810\t    0.0898\t    0.0560\t    0.0021\t    0.9330\t    671.70\n",
      "811\t    0.0898\t    0.0560\t    0.0021\t    0.9338\t    671.96\n",
      "812\t    0.0897\t    0.0560\t    0.0021\t    0.9347\t    672.21\n",
      "813\t    0.0897\t    0.0560\t    0.0021\t    0.9356\t    672.47\n",
      "814\t    0.0897\t    0.0560\t    0.0021\t    0.9365\t    672.73\n",
      "815\t    0.0897\t    0.0561\t    0.0021\t    0.9374\t    672.99\n",
      "816\t    0.0896\t    0.0561\t    0.0021\t    0.9383\t    673.24\n",
      "817\t    0.0896\t    0.0561\t    0.0021\t    0.9392\t    673.50\n",
      "818\t    0.0896\t    0.0561\t    0.0021\t    0.9401\t    673.76\n",
      "819\t    0.0895\t    0.0561\t    0.0021\t    0.9410\t    674.01\n",
      "820\t    0.0895\t    0.0562\t    0.0021\t    0.9419\t    674.27\n",
      "821\t    0.0895\t    0.0562\t    0.0021\t    0.9428\t    674.52\n",
      "822\t    0.0895\t    0.0562\t    0.0021\t    0.9437\t    674.78\n",
      "823\t    0.0894\t    0.0562\t    0.0021\t    0.9446\t    675.03\n",
      "824\t    0.0894\t    0.0563\t    0.0021\t    0.9455\t    675.29\n",
      "825\t    0.0894\t    0.0563\t    0.0021\t    0.9464\t    675.54\n",
      "826\t    0.0894\t    0.0563\t    0.0021\t    0.9473\t    675.79\n",
      "827\t    0.0893\t    0.0563\t    0.0021\t    0.9482\t    676.05\n",
      "828\t    0.0893\t    0.0563\t    0.0021\t    0.9491\t    676.30\n",
      "829\t    0.0893\t    0.0564\t    0.0021\t    0.9499\t    676.55\n",
      "830\t    0.0892\t    0.0564\t    0.0021\t    0.9508\t    676.80\n",
      "831\t    0.0892\t    0.0564\t    0.0021\t    0.9517\t    677.06\n",
      "832\t    0.0892\t    0.0564\t    0.0021\t    0.9526\t    677.31\n",
      "833\t    0.0892\t    0.0564\t    0.0021\t    0.9535\t    677.56\n",
      "834\t    0.0891\t    0.0565\t    0.0021\t    0.9544\t    677.81\n",
      "835\t    0.0891\t    0.0565\t    0.0021\t    0.9553\t    678.06\n",
      "836\t    0.0891\t    0.0565\t    0.0021\t    0.9562\t    678.31\n",
      "837\t    0.0891\t    0.0565\t    0.0021\t    0.9571\t    678.56\n",
      "838\t    0.0890\t    0.0565\t    0.0021\t    0.9580\t    678.81\n",
      "839\t    0.0890\t    0.0566\t    0.0021\t    0.9589\t    679.06\n",
      "840\t    0.0890\t    0.0566\t    0.0021\t    0.9597\t    679.31\n",
      "841\t    0.0890\t    0.0566\t    0.0021\t    0.9606\t    679.56\n",
      "842\t    0.0889\t    0.0566\t    0.0021\t    0.9615\t    679.81\n",
      "843\t    0.0889\t    0.0566\t    0.0020\t    0.9624\t    680.06\n",
      "844\t    0.0889\t    0.0567\t    0.0020\t    0.9633\t    680.30\n",
      "845\t    0.0888\t    0.0567\t    0.0020\t    0.9642\t    680.55\n",
      "846\t    0.0888\t    0.0567\t    0.0020\t    0.9651\t    680.80\n",
      "847\t    0.0888\t    0.0567\t    0.0020\t    0.9660\t    681.05\n",
      "848\t    0.0888\t    0.0567\t    0.0020\t    0.9668\t    681.29\n",
      "849\t    0.0887\t    0.0568\t    0.0020\t    0.9677\t    681.54\n",
      "850\t    0.0887\t    0.0568\t    0.0020\t    0.9686\t    681.79\n",
      "851\t    0.0887\t    0.0568\t    0.0020\t    0.9695\t    682.03\n",
      "852\t    0.0887\t    0.0568\t    0.0020\t    0.9704\t    682.28\n",
      "853\t    0.0886\t    0.0569\t    0.0020\t    0.9713\t    682.52\n",
      "854\t    0.0886\t    0.0569\t    0.0020\t    0.9722\t    682.77\n",
      "855\t    0.0886\t    0.0569\t    0.0020\t    0.9730\t    683.01\n",
      "856\t    0.0886\t    0.0569\t    0.0020\t    0.9739\t    683.26\n",
      "857\t    0.0885\t    0.0569\t    0.0020\t    0.9748\t    683.50\n",
      "858\t    0.0885\t    0.0570\t    0.0020\t    0.9757\t    683.75\n",
      "859\t    0.0885\t    0.0570\t    0.0020\t    0.9766\t    683.99\n",
      "860\t    0.0885\t    0.0570\t    0.0020\t    0.9775\t    684.23\n",
      "861\t    0.0884\t    0.0570\t    0.0020\t    0.9784\t    684.48\n",
      "862\t    0.0884\t    0.0570\t    0.0020\t    0.9792\t    684.72\n",
      "863\t    0.0884\t    0.0571\t    0.0020\t    0.9801\t    684.96\n",
      "864\t    0.0883\t    0.0571\t    0.0020\t    0.9810\t    685.20\n",
      "865\t    0.0883\t    0.0571\t    0.0020\t    0.9819\t    685.45\n",
      "866\t    0.0883\t    0.0571\t    0.0020\t    0.9828\t    685.69\n",
      "867\t    0.0883\t    0.0571\t    0.0020\t    0.9837\t    685.93\n",
      "868\t    0.0882\t    0.0572\t    0.0020\t    0.9845\t    686.17\n",
      "869\t    0.0882\t    0.0572\t    0.0020\t    0.9854\t    686.41\n",
      "870\t    0.0882\t    0.0572\t    0.0020\t    0.9863\t    686.65\n",
      "871\t    0.0882\t    0.0572\t    0.0020\t    0.9872\t    686.89\n",
      "872\t    0.0881\t    0.0572\t    0.0020\t    0.9881\t    687.13\n",
      "873\t    0.0881\t    0.0573\t    0.0020\t    0.9889\t    687.37\n",
      "874\t    0.0881\t    0.0573\t    0.0020\t    0.9898\t    687.61\n",
      "875\t    0.0881\t    0.0573\t    0.0020\t    0.9907\t    687.85\n",
      "876\t    0.0880\t    0.0573\t    0.0020\t    0.9916\t    688.09\n",
      "877\t    0.0880\t    0.0573\t    0.0020\t    0.9925\t    688.33\n",
      "878\t    0.0880\t    0.0573\t    0.0020\t    0.9933\t    688.56\n",
      "879\t    0.0880\t    0.0574\t    0.0020\t    0.9942\t    688.80\n",
      "880\t    0.0879\t    0.0574\t    0.0020\t    0.9951\t    689.04\n",
      "881\t    0.0879\t    0.0574\t    0.0020\t    0.9960\t    689.28\n",
      "882\t    0.0879\t    0.0574\t    0.0020\t    0.9969\t    689.52\n",
      "883\t    0.0879\t    0.0574\t    0.0020\t    0.9977\t    689.75\n",
      "884\t    0.0878\t    0.0575\t    0.0020\t    0.9986\t    689.99\n",
      "885\t    0.0878\t    0.0575\t    0.0019\t    0.9995\t    690.23\n",
      "886\t    0.0878\t    0.0575\t    0.0019\t    1.0004\t    690.46\n",
      "887\t    0.0878\t    0.0575\t    0.0019\t    1.0012\t    690.70\n",
      "888\t    0.0877\t    0.0575\t    0.0019\t    1.0021\t    690.93\n",
      "889\t    0.0877\t    0.0576\t    0.0019\t    1.0030\t    691.17\n",
      "890\t    0.0877\t    0.0576\t    0.0019\t    1.0039\t    691.40\n",
      "891\t    0.0877\t    0.0576\t    0.0019\t    1.0047\t    691.64\n",
      "892\t    0.0876\t    0.0576\t    0.0019\t    1.0056\t    691.87\n",
      "893\t    0.0876\t    0.0576\t    0.0019\t    1.0065\t    692.11\n",
      "894\t    0.0876\t    0.0577\t    0.0019\t    1.0074\t    692.34\n",
      "895\t    0.0876\t    0.0577\t    0.0019\t    1.0082\t    692.57\n",
      "896\t    0.0875\t    0.0577\t    0.0019\t    1.0091\t    692.81\n",
      "897\t    0.0875\t    0.0577\t    0.0019\t    1.0100\t    693.04\n",
      "898\t    0.0875\t    0.0577\t    0.0019\t    1.0109\t    693.27\n",
      "899\t    0.0875\t    0.0578\t    0.0019\t    1.0117\t    693.51\n",
      "900\t    0.0874\t    0.0578\t    0.0019\t    1.0126\t    693.74\n",
      "901\t    0.0874\t    0.0578\t    0.0019\t    1.0135\t    693.97\n",
      "902\t    0.0874\t    0.0578\t    0.0019\t    1.0144\t    694.20\n",
      "903\t    0.0874\t    0.0578\t    0.0019\t    1.0152\t    694.43\n",
      "904\t    0.0873\t    0.0579\t    0.0019\t    1.0161\t    694.67\n",
      "905\t    0.0873\t    0.0579\t    0.0019\t    1.0170\t    694.90\n",
      "906\t    0.0873\t    0.0579\t    0.0019\t    1.0179\t    695.13\n",
      "907\t    0.0873\t    0.0579\t    0.0019\t    1.0187\t    695.36\n",
      "908\t    0.0872\t    0.0579\t    0.0019\t    1.0196\t    695.59\n",
      "909\t    0.0872\t    0.0579\t    0.0019\t    1.0205\t    695.82\n",
      "910\t    0.0872\t    0.0580\t    0.0019\t    1.0213\t    696.05\n",
      "911\t    0.0872\t    0.0580\t    0.0019\t    1.0222\t    696.28\n",
      "912\t    0.0871\t    0.0580\t    0.0019\t    1.0231\t    696.51\n",
      "913\t    0.0871\t    0.0580\t    0.0019\t    1.0240\t    696.74\n",
      "914\t    0.0871\t    0.0580\t    0.0019\t    1.0248\t    696.97\n",
      "915\t    0.0871\t    0.0581\t    0.0019\t    1.0257\t    697.19\n",
      "916\t    0.0871\t    0.0581\t    0.0019\t    1.0266\t    697.42\n",
      "917\t    0.0870\t    0.0581\t    0.0019\t    1.0274\t    697.65\n",
      "918\t    0.0870\t    0.0581\t    0.0019\t    1.0283\t    697.88\n",
      "919\t    0.0870\t    0.0581\t    0.0019\t    1.0292\t    698.11\n",
      "920\t    0.0870\t    0.0582\t    0.0019\t    1.0300\t    698.33\n",
      "921\t    0.0869\t    0.0582\t    0.0019\t    1.0309\t    698.56\n",
      "922\t    0.0869\t    0.0582\t    0.0019\t    1.0318\t    698.79\n",
      "923\t    0.0869\t    0.0582\t    0.0019\t    1.0326\t    699.01\n",
      "924\t    0.0869\t    0.0582\t    0.0019\t    1.0335\t    699.24\n",
      "925\t    0.0868\t    0.0582\t    0.0019\t    1.0344\t    699.47\n",
      "926\t    0.0868\t    0.0583\t    0.0019\t    1.0353\t    699.69\n",
      "927\t    0.0868\t    0.0583\t    0.0019\t    1.0361\t    699.92\n",
      "928\t    0.0868\t    0.0583\t    0.0019\t    1.0370\t    700.14\n",
      "929\t    0.0867\t    0.0583\t    0.0019\t    1.0379\t    700.37\n",
      "930\t    0.0867\t    0.0583\t    0.0019\t    1.0387\t    700.59\n",
      "931\t    0.0867\t    0.0584\t    0.0019\t    1.0396\t    700.82\n",
      "932\t    0.0867\t    0.0584\t    0.0018\t    1.0405\t    701.04\n",
      "933\t    0.0866\t    0.0584\t    0.0018\t    1.0413\t    701.26\n",
      "934\t    0.0866\t    0.0584\t    0.0018\t    1.0422\t    701.49\n",
      "935\t    0.0866\t    0.0584\t    0.0018\t    1.0430\t    701.71\n",
      "936\t    0.0866\t    0.0585\t    0.0018\t    1.0439\t    701.94\n",
      "937\t    0.0866\t    0.0585\t    0.0018\t    1.0448\t    702.16\n",
      "938\t    0.0865\t    0.0585\t    0.0018\t    1.0456\t    702.38\n",
      "939\t    0.0865\t    0.0585\t    0.0018\t    1.0465\t    702.60\n",
      "940\t    0.0865\t    0.0585\t    0.0018\t    1.0474\t    702.83\n",
      "941\t    0.0865\t    0.0585\t    0.0018\t    1.0482\t    703.05\n",
      "942\t    0.0864\t    0.0586\t    0.0018\t    1.0491\t    703.27\n",
      "943\t    0.0864\t    0.0586\t    0.0018\t    1.0500\t    703.49\n",
      "944\t    0.0864\t    0.0586\t    0.0018\t    1.0508\t    703.71\n",
      "945\t    0.0864\t    0.0586\t    0.0018\t    1.0517\t    703.93\n",
      "946\t    0.0863\t    0.0586\t    0.0018\t    1.0526\t    704.16\n",
      "947\t    0.0863\t    0.0587\t    0.0018\t    1.0534\t    704.38\n",
      "948\t    0.0863\t    0.0587\t    0.0018\t    1.0543\t    704.60\n",
      "949\t    0.0863\t    0.0587\t    0.0018\t    1.0551\t    704.82\n",
      "950\t    0.0862\t    0.0587\t    0.0018\t    1.0560\t    705.04\n",
      "951\t    0.0862\t    0.0587\t    0.0018\t    1.0569\t    705.26\n",
      "952\t    0.0862\t    0.0587\t    0.0018\t    1.0577\t    705.48\n",
      "953\t    0.0862\t    0.0588\t    0.0018\t    1.0586\t    705.70\n",
      "954\t    0.0862\t    0.0588\t    0.0018\t    1.0594\t    705.91\n",
      "955\t    0.0861\t    0.0588\t    0.0018\t    1.0603\t    706.13\n",
      "956\t    0.0861\t    0.0588\t    0.0018\t    1.0612\t    706.35\n",
      "957\t    0.0861\t    0.0588\t    0.0018\t    1.0620\t    706.57\n",
      "958\t    0.0861\t    0.0589\t    0.0018\t    1.0629\t    706.79\n",
      "959\t    0.0860\t    0.0589\t    0.0018\t    1.0637\t    707.01\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "960\t    0.0860\t    0.0589\t    0.0018\t    1.0646\t    707.22\n",
      "961\t    0.0860\t    0.0589\t    0.0018\t    1.0655\t    707.44\n",
      "962\t    0.0860\t    0.0589\t    0.0018\t    1.0663\t    707.66\n",
      "963\t    0.0859\t    0.0589\t    0.0018\t    1.0672\t    707.88\n",
      "964\t    0.0859\t    0.0590\t    0.0018\t    1.0680\t    708.09\n",
      "965\t    0.0859\t    0.0590\t    0.0018\t    1.0689\t    708.31\n",
      "966\t    0.0859\t    0.0590\t    0.0018\t    1.0698\t    708.52\n",
      "967\t    0.0859\t    0.0590\t    0.0018\t    1.0706\t    708.74\n",
      "968\t    0.0858\t    0.0590\t    0.0018\t    1.0715\t    708.96\n",
      "969\t    0.0858\t    0.0590\t    0.0018\t    1.0723\t    709.17\n",
      "970\t    0.0858\t    0.0591\t    0.0018\t    1.0732\t    709.39\n",
      "971\t    0.0858\t    0.0591\t    0.0018\t    1.0740\t    709.60\n",
      "972\t    0.0857\t    0.0591\t    0.0018\t    1.0749\t    709.82\n",
      "973\t    0.0857\t    0.0591\t    0.0018\t    1.0758\t    710.03\n",
      "974\t    0.0857\t    0.0591\t    0.0018\t    1.0766\t    710.25\n",
      "975\t    0.0857\t    0.0592\t    0.0018\t    1.0775\t    710.46\n",
      "976\t    0.0857\t    0.0592\t    0.0018\t    1.0783\t    710.68\n",
      "977\t    0.0856\t    0.0592\t    0.0018\t    1.0792\t    710.89\n",
      "978\t    0.0856\t    0.0592\t    0.0018\t    1.0800\t    711.10\n",
      "979\t    0.0856\t    0.0592\t    0.0018\t    1.0809\t    711.32\n",
      "980\t    0.0856\t    0.0592\t    0.0018\t    1.0817\t    711.53\n",
      "981\t    0.0855\t    0.0593\t    0.0018\t    1.0826\t    711.74\n",
      "982\t    0.0855\t    0.0593\t    0.0018\t    1.0835\t    711.95\n",
      "983\t    0.0855\t    0.0593\t    0.0018\t    1.0843\t    712.17\n",
      "984\t    0.0855\t    0.0593\t    0.0017\t    1.0852\t    712.38\n",
      "985\t    0.0855\t    0.0593\t    0.0017\t    1.0860\t    712.59\n",
      "986\t    0.0854\t    0.0593\t    0.0017\t    1.0869\t    712.80\n",
      "987\t    0.0854\t    0.0594\t    0.0017\t    1.0877\t    713.02\n",
      "988\t    0.0854\t    0.0594\t    0.0017\t    1.0886\t    713.23\n",
      "989\t    0.0854\t    0.0594\t    0.0017\t    1.0894\t    713.44\n",
      "990\t    0.0853\t    0.0594\t    0.0017\t    1.0903\t    713.65\n",
      "991\t    0.0853\t    0.0594\t    0.0017\t    1.0911\t    713.86\n",
      "992\t    0.0853\t    0.0595\t    0.0017\t    1.0920\t    714.07\n",
      "993\t    0.0853\t    0.0595\t    0.0017\t    1.0928\t    714.28\n",
      "994\t    0.0853\t    0.0595\t    0.0017\t    1.0937\t    714.49\n",
      "995\t    0.0852\t    0.0595\t    0.0017\t    1.0945\t    714.70\n",
      "996\t    0.0852\t    0.0595\t    0.0017\t    1.0954\t    714.91\n",
      "997\t    0.0852\t    0.0595\t    0.0017\t    1.0962\t    715.12\n",
      "998\t    0.0852\t    0.0596\t    0.0017\t    1.0971\t    715.33\n",
      "999\t    0.0851\t    0.0596\t    0.0017\t    1.0980\t    715.54\n",
      "iter\t    r norm\t   eps pri\t    s norm\t  eps dual\t objective\n",
      "  0\t    0.3066\t    0.0033\t    0.0000\t    0.0033\t      0.01\n",
      "  1\t    0.2789\t    0.0030\t    0.0000\t    0.0061\t      0.03\n",
      "  2\t    0.2633\t    0.0029\t    0.0000\t    0.0087\t      0.04\n",
      "  3\t    0.2521\t    0.0027\t    0.0000\t    0.0112\t      0.05\n",
      "  4\t    0.2441\t    0.0027\t    0.0000\t    0.0137\t      0.06\n",
      "  5\t    0.2376\t    0.0026\t    0.0000\t    0.0160\t      0.07\n",
      "  6\t    0.2321\t    0.0025\t    0.0000\t    0.0184\t      0.08\n",
      "  7\t    0.2274\t    0.0025\t    0.0000\t    0.0206\t      0.10\n",
      "  8\t    0.2233\t    0.0025\t    0.0000\t    0.0229\t      0.11\n",
      "  9\t    0.2197\t    0.0024\t    0.0000\t    0.0251\t      0.12\n",
      " 10\t    0.2164\t    0.0024\t    0.0000\t    0.0272\t      0.14\n",
      " 11\t    0.2135\t    0.0024\t    0.0001\t    0.0294\t      0.15\n",
      " 12\t    0.2107\t    0.0023\t    0.0001\t    0.0315\t      0.17\n",
      " 13\t    0.2083\t    0.0023\t    0.0001\t    0.0336\t      0.19\n",
      " 14\t    0.2057\t    0.0023\t    0.0001\t    0.0356\t      0.20\n",
      " 15\t    0.2036\t    0.0023\t    0.0001\t    0.0377\t      0.22\n",
      " 16\t    0.2017\t    0.0022\t    0.0001\t    0.0397\t      0.24\n",
      " 17\t    0.1998\t    0.0022\t    0.0001\t    0.0417\t      0.26\n",
      " 18\t    0.1981\t    0.0022\t    0.0001\t    0.0437\t      0.29\n",
      " 19\t    0.1964\t    0.0022\t    0.0001\t    0.0456\t      0.31\n",
      " 20\t    0.1948\t    0.0022\t    0.0001\t    0.0476\t      0.34\n",
      " 21\t    0.1933\t    0.0022\t    0.0002\t    0.0495\t      0.36\n",
      " 22\t    0.1919\t    0.0021\t    0.0002\t    0.0514\t      0.39\n",
      " 23\t    0.1906\t    0.0021\t    0.0002\t    0.0533\t      0.42\n",
      " 24\t    0.1893\t    0.0021\t    0.0002\t    0.0552\t      0.45\n",
      " 25\t    0.1880\t    0.0021\t    0.0002\t    0.0571\t      0.48\n",
      " 26\t    0.1868\t    0.0021\t    0.0002\t    0.0590\t      0.52\n",
      " 27\t    0.1857\t    0.0021\t    0.0002\t    0.0608\t      0.56\n",
      " 28\t    0.1846\t    0.0021\t    0.0003\t    0.0627\t      0.59\n",
      " 29\t    0.1835\t    0.0021\t    0.0003\t    0.0645\t      0.63\n",
      " 30\t    0.1825\t    0.0020\t    0.0003\t    0.0663\t      0.68\n",
      " 31\t    0.1815\t    0.0020\t    0.0003\t    0.0681\t      0.72\n",
      " 32\t    0.1805\t    0.0020\t    0.0003\t    0.0699\t      0.77\n",
      " 33\t    0.1796\t    0.0020\t    0.0003\t    0.0717\t      0.81\n",
      " 34\t    0.1787\t    0.0020\t    0.0004\t    0.0735\t      0.86\n",
      " 35\t    0.1778\t    0.0020\t    0.0004\t    0.0753\t      0.91\n",
      " 36\t    0.1770\t    0.0020\t    0.0004\t    0.0771\t      0.97\n",
      " 37\t    0.1762\t    0.0020\t    0.0004\t    0.0788\t      1.02\n",
      " 38\t    0.1754\t    0.0020\t    0.0004\t    0.0806\t      1.08\n",
      " 39\t    0.1746\t    0.0020\t    0.0004\t    0.0823\t      1.14\n",
      " 40\t    0.1738\t    0.0020\t    0.0005\t    0.0841\t      1.20\n",
      " 41\t    0.1731\t    0.0020\t    0.0005\t    0.0858\t      1.27\n",
      " 42\t    0.1724\t    0.0019\t    0.0005\t    0.0875\t      1.33\n",
      " 43\t    0.1717\t    0.0019\t    0.0005\t    0.0892\t      1.40\n",
      " 44\t    0.1710\t    0.0019\t    0.0005\t    0.0909\t      1.47\n",
      " 45\t    0.1703\t    0.0019\t    0.0006\t    0.0927\t      1.55\n",
      " 46\t    0.1697\t    0.0019\t    0.0006\t    0.0943\t      1.62\n",
      " 47\t    0.1690\t    0.0019\t    0.0006\t    0.0960\t      1.70\n",
      " 48\t    0.1684\t    0.0019\t    0.0006\t    0.0977\t      1.78\n",
      " 49\t    0.1678\t    0.0019\t    0.0006\t    0.0994\t      1.86\n",
      " 50\t    0.1672\t    0.0019\t    0.0007\t    0.1011\t      1.95\n",
      " 51\t    0.1665\t    0.0019\t    0.0007\t    0.1027\t      2.03\n",
      " 52\t    0.1659\t    0.0019\t    0.0007\t    0.1044\t      2.12\n",
      " 53\t    0.1654\t    0.0019\t    0.0007\t    0.1060\t      2.21\n",
      " 54\t    0.1648\t    0.0019\t    0.0007\t    0.1077\t      2.31\n",
      " 55\t    0.1643\t    0.0019\t    0.0007\t    0.1093\t      2.40\n",
      " 56\t    0.1638\t    0.0019\t    0.0008\t    0.1110\t      2.50\n",
      " 57\t    0.1633\t    0.0019\t    0.0008\t    0.1126\t      2.60\n",
      " 58\t    0.1628\t    0.0019\t    0.0008\t    0.1142\t      2.70\n",
      " 59\t    0.1623\t    0.0019\t    0.0008\t    0.1159\t      2.81\n",
      " 60\t    0.1618\t    0.0019\t    0.0009\t    0.1175\t      2.92\n",
      " 61\t    0.1613\t    0.0019\t    0.0009\t    0.1191\t      3.03\n",
      " 62\t    0.1608\t    0.0018\t    0.0009\t    0.1207\t      3.14\n",
      " 63\t    0.1604\t    0.0018\t    0.0009\t    0.1223\t      3.26\n",
      " 64\t    0.1599\t    0.0018\t    0.0009\t    0.1239\t      3.38\n",
      " 65\t    0.1595\t    0.0018\t    0.0010\t    0.1255\t      3.50\n",
      " 66\t    0.1590\t    0.0018\t    0.0010\t    0.1271\t      3.62\n",
      " 67\t    0.1586\t    0.0018\t    0.0010\t    0.1287\t      3.75\n",
      " 68\t    0.1582\t    0.0018\t    0.0010\t    0.1303\t      3.88\n",
      " 69\t    0.1578\t    0.0018\t    0.0011\t    0.1318\t      4.01\n",
      " 70\t    0.1573\t    0.0018\t    0.0011\t    0.1334\t      4.15\n",
      " 71\t    0.1569\t    0.0018\t    0.0011\t    0.1350\t      4.29\n",
      " 72\t    0.1565\t    0.0018\t    0.0011\t    0.1365\t      4.43\n",
      " 73\t    0.1561\t    0.0018\t    0.0012\t    0.1381\t      4.57\n",
      " 74\t    0.1558\t    0.0018\t    0.0012\t    0.1397\t      4.72\n",
      " 75\t    0.1554\t    0.0018\t    0.0012\t    0.1412\t      4.87\n",
      " 76\t    0.1550\t    0.0018\t    0.0012\t    0.1428\t      5.02\n",
      " 77\t    0.1546\t    0.0018\t    0.0013\t    0.1443\t      5.18\n",
      " 78\t    0.1543\t    0.0018\t    0.0013\t    0.1458\t      5.34\n",
      " 79\t    0.1539\t    0.0018\t    0.0013\t    0.1474\t      5.50\n",
      " 80\t    0.1535\t    0.0018\t    0.0013\t    0.1489\t      5.66\n",
      " 81\t    0.1532\t    0.0018\t    0.0013\t    0.1505\t      5.83\n",
      " 82\t    0.1528\t    0.0018\t    0.0014\t    0.1520\t      6.00\n",
      " 83\t    0.1525\t    0.0018\t    0.0014\t    0.1535\t      6.17\n",
      " 84\t    0.1521\t    0.0018\t    0.0014\t    0.1550\t      6.35\n",
      " 85\t    0.1518\t    0.0018\t    0.0014\t    0.1565\t      6.52\n",
      " 86\t    0.1515\t    0.0018\t    0.0015\t    0.1581\t      6.71\n",
      " 87\t    0.1512\t    0.0018\t    0.0015\t    0.1596\t      6.89\n",
      " 88\t    0.1508\t    0.0018\t    0.0015\t    0.1611\t      7.08\n",
      " 89\t    0.1505\t    0.0018\t    0.0015\t    0.1626\t      7.27\n",
      " 90\t    0.1502\t    0.0018\t    0.0016\t    0.1641\t      7.46\n",
      " 91\t    0.1499\t    0.0018\t    0.0016\t    0.1656\t      7.66\n",
      " 92\t    0.1496\t    0.0018\t    0.0016\t    0.1671\t      7.85\n",
      " 93\t    0.1493\t    0.0018\t    0.0016\t    0.1686\t      8.06\n",
      " 94\t    0.1490\t    0.0018\t    0.0017\t    0.1701\t      8.26\n",
      " 95\t    0.1487\t    0.0018\t    0.0017\t    0.1715\t      8.47\n",
      " 96\t    0.1484\t    0.0019\t    0.0017\t    0.1730\t      8.68\n",
      " 97\t    0.1481\t    0.0019\t    0.0017\t    0.1745\t      8.89\n",
      " 98\t    0.1478\t    0.0019\t    0.0018\t    0.1760\t      9.11\n",
      " 99\t    0.1475\t    0.0019\t    0.0018\t    0.1775\t      9.33\n",
      "100\t    0.1472\t    0.0019\t    0.0018\t    0.1789\t      9.55\n",
      "101\t    0.1469\t    0.0019\t    0.0018\t    0.1804\t      9.77\n",
      "102\t    0.1467\t    0.0019\t    0.0019\t    0.1819\t     10.00\n",
      "103\t    0.1464\t    0.0019\t    0.0019\t    0.1833\t     10.23\n",
      "104\t    0.1461\t    0.0019\t    0.0019\t    0.1848\t     10.47\n",
      "105\t    0.1459\t    0.0019\t    0.0019\t    0.1863\t     10.70\n",
      "106\t    0.1456\t    0.0019\t    0.0020\t    0.1877\t     10.94\n",
      "107\t    0.1453\t    0.0019\t    0.0020\t    0.1892\t     11.18\n",
      "108\t    0.1451\t    0.0019\t    0.0020\t    0.1906\t     11.43\n",
      "109\t    0.1448\t    0.0019\t    0.0020\t    0.1921\t     11.68\n",
      "110\t    0.1446\t    0.0019\t    0.0021\t    0.1935\t     11.93\n",
      "111\t    0.1443\t    0.0020\t    0.0021\t    0.1949\t     12.18\n",
      "112\t    0.1441\t    0.0020\t    0.0021\t    0.1964\t     12.44\n",
      "113\t    0.1438\t    0.0020\t    0.0021\t    0.1978\t     12.70\n",
      "114\t    0.1436\t    0.0020\t    0.0021\t    0.1993\t     12.96\n",
      "115\t    0.1433\t    0.0020\t    0.0022\t    0.2007\t     13.23\n",
      "116\t    0.1431\t    0.0020\t    0.0022\t    0.2021\t     13.49\n",
      "117\t    0.1428\t    0.0020\t    0.0022\t    0.2036\t     13.76\n",
      "118\t    0.1426\t    0.0020\t    0.0022\t    0.2050\t     14.04\n",
      "119\t    0.1424\t    0.0020\t    0.0023\t    0.2064\t     14.31\n",
      "120\t    0.1421\t    0.0021\t    0.0023\t    0.2078\t     14.59\n",
      "121\t    0.1419\t    0.0021\t    0.0023\t    0.2092\t     14.88\n",
      "122\t    0.1417\t    0.0021\t    0.0023\t    0.2107\t     15.16\n",
      "123\t    0.1415\t    0.0021\t    0.0024\t    0.2121\t     15.45\n",
      "124\t    0.1412\t    0.0021\t    0.0024\t    0.2135\t     15.74\n",
      "125\t    0.1410\t    0.0021\t    0.0024\t    0.2149\t     16.03\n",
      "126\t    0.1408\t    0.0021\t    0.0024\t    0.2163\t     16.33\n",
      "127\t    0.1406\t    0.0022\t    0.0025\t    0.2177\t     16.63\n",
      "128\t    0.1404\t    0.0022\t    0.0025\t    0.2191\t     16.93\n",
      "129\t    0.1401\t    0.0022\t    0.0025\t    0.2205\t     17.23\n",
      "130\t    0.1399\t    0.0022\t    0.0025\t    0.2219\t     17.54\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "131\t    0.1397\t    0.0022\t    0.0025\t    0.2233\t     17.85\n",
      "132\t    0.1395\t    0.0022\t    0.0026\t    0.2247\t     18.16\n",
      "133\t    0.1393\t    0.0023\t    0.0026\t    0.2261\t     18.48\n",
      "134\t    0.1391\t    0.0023\t    0.0026\t    0.2275\t     18.80\n",
      "135\t    0.1389\t    0.0023\t    0.0026\t    0.2289\t     19.12\n",
      "136\t    0.1387\t    0.0023\t    0.0027\t    0.2303\t     19.44\n",
      "137\t    0.1385\t    0.0023\t    0.0027\t    0.2317\t     19.77\n",
      "138\t    0.1383\t    0.0023\t    0.0027\t    0.2330\t     20.09\n",
      "139\t    0.1381\t    0.0024\t    0.0027\t    0.2344\t     20.42\n",
      "140\t    0.1379\t    0.0024\t    0.0027\t    0.2358\t     20.76\n",
      "141\t    0.1377\t    0.0024\t    0.0028\t    0.2372\t     21.09\n",
      "142\t    0.1375\t    0.0024\t    0.0028\t    0.2385\t     21.43\n",
      "143\t    0.1373\t    0.0024\t    0.0028\t    0.2399\t     21.77\n",
      "144\t    0.1371\t    0.0025\t    0.0028\t    0.2413\t     22.12\n",
      "145\t    0.1369\t    0.0025\t    0.0028\t    0.2427\t     22.47\n",
      "146\t    0.1368\t    0.0025\t    0.0029\t    0.2440\t     22.81\n",
      "147\t    0.1366\t    0.0025\t    0.0029\t    0.2454\t     23.17\n",
      "148\t    0.1364\t    0.0026\t    0.0029\t    0.2468\t     23.52\n",
      "149\t    0.1362\t    0.0026\t    0.0029\t    0.2481\t     23.88\n",
      "150\t    0.1360\t    0.0026\t    0.0030\t    0.2495\t     24.24\n",
      "151\t    0.1358\t    0.0026\t    0.0030\t    0.2508\t     24.60\n",
      "152\t    0.1357\t    0.0026\t    0.0030\t    0.2522\t     24.96\n",
      "153\t    0.1355\t    0.0027\t    0.0030\t    0.2535\t     25.33\n",
      "154\t    0.1353\t    0.0027\t    0.0030\t    0.2549\t     25.70\n",
      "155\t    0.1351\t    0.0027\t    0.0031\t    0.2562\t     26.07\n",
      "156\t    0.1349\t    0.0027\t    0.0031\t    0.2576\t     26.44\n",
      "157\t    0.1348\t    0.0028\t    0.0031\t    0.2589\t     26.82\n",
      "158\t    0.1346\t    0.0028\t    0.0031\t    0.2603\t     27.19\n",
      "159\t    0.1344\t    0.0028\t    0.0031\t    0.2616\t     27.57\n",
      "160\t    0.1343\t    0.0028\t    0.0032\t    0.2630\t     27.96\n",
      "161\t    0.1341\t    0.0029\t    0.0032\t    0.2643\t     28.34\n",
      "162\t    0.1339\t    0.0029\t    0.0032\t    0.2657\t     28.73\n",
      "163\t    0.1338\t    0.0029\t    0.0032\t    0.2670\t     29.12\n",
      "164\t    0.1336\t    0.0030\t    0.0032\t    0.2683\t     29.51\n",
      "165\t    0.1334\t    0.0030\t    0.0032\t    0.2697\t     29.91\n",
      "166\t    0.1333\t    0.0030\t    0.0033\t    0.2710\t     30.30\n",
      "167\t    0.1331\t    0.0030\t    0.0033\t    0.2723\t     30.70\n",
      "168\t    0.1329\t    0.0031\t    0.0033\t    0.2737\t     31.10\n",
      "169\t    0.1328\t    0.0031\t    0.0033\t    0.2750\t     31.50\n",
      "170\t    0.1326\t    0.0031\t    0.0033\t    0.2763\t     31.91\n",
      "171\t    0.1325\t    0.0032\t    0.0034\t    0.2776\t     32.32\n",
      "172\t    0.1322\t    0.0032\t    0.0033\t    0.2790\t     32.72\n",
      "173\t    0.1321\t    0.0032\t    0.0034\t    0.2803\t     33.13\n",
      "174\t    0.1319\t    0.0032\t    0.0034\t    0.2816\t     33.54\n",
      "175\t    0.1318\t    0.0033\t    0.0034\t    0.2829\t     33.95\n",
      "176\t    0.1316\t    0.0033\t    0.0034\t    0.2842\t     34.36\n",
      "177\t    0.1315\t    0.0033\t    0.0034\t    0.2855\t     34.78\n",
      "178\t    0.1313\t    0.0034\t    0.0034\t    0.2869\t     35.20\n",
      "179\t    0.1312\t    0.0034\t    0.0035\t    0.2882\t     35.62\n",
      "180\t    0.1310\t    0.0034\t    0.0035\t    0.2895\t     36.04\n",
      "181\t    0.1309\t    0.0035\t    0.0035\t    0.2908\t     36.46\n",
      "182\t    0.1307\t    0.0035\t    0.0035\t    0.2921\t     36.89\n",
      "183\t    0.1306\t    0.0035\t    0.0035\t    0.2934\t     37.31\n",
      "184\t    0.1304\t    0.0035\t    0.0035\t    0.2947\t     37.74\n",
      "185\t    0.1303\t    0.0036\t    0.0036\t    0.2960\t     38.17\n",
      "186\t    0.1301\t    0.0036\t    0.0036\t    0.2973\t     38.61\n",
      "187\t    0.1300\t    0.0036\t    0.0036\t    0.2986\t     39.04\n",
      "188\t    0.1299\t    0.0037\t    0.0036\t    0.2999\t     39.48\n",
      "189\t    0.1297\t    0.0037\t    0.0036\t    0.3012\t     39.92\n",
      "190\t    0.1296\t    0.0037\t    0.0036\t    0.3025\t     40.36\n",
      "191\t    0.1294\t    0.0038\t    0.0037\t    0.3038\t     40.80\n",
      "192\t    0.1293\t    0.0038\t    0.0037\t    0.3051\t     41.25\n",
      "193\t    0.1292\t    0.0038\t    0.0037\t    0.3064\t     41.69\n",
      "194\t    0.1290\t    0.0039\t    0.0037\t    0.3077\t     42.14\n",
      "195\t    0.1289\t    0.0039\t    0.0037\t    0.3090\t     42.59\n",
      "196\t    0.1287\t    0.0039\t    0.0037\t    0.3102\t     43.04\n",
      "197\t    0.1286\t    0.0040\t    0.0037\t    0.3115\t     43.50\n",
      "198\t    0.1285\t    0.0040\t    0.0038\t    0.3128\t     43.95\n",
      "199\t    0.1283\t    0.0041\t    0.0038\t    0.3141\t     44.41\n",
      "200\t    0.1282\t    0.0041\t    0.0038\t    0.3154\t     44.87\n",
      "201\t    0.1281\t    0.0041\t    0.0038\t    0.3167\t     45.33\n",
      "202\t    0.1279\t    0.0042\t    0.0038\t    0.3179\t     45.79\n",
      "203\t    0.1278\t    0.0042\t    0.0038\t    0.3192\t     46.25\n",
      "204\t    0.1277\t    0.0042\t    0.0038\t    0.3205\t     46.72\n",
      "205\t    0.1276\t    0.0043\t    0.0039\t    0.3218\t     47.18\n",
      "206\t    0.1274\t    0.0043\t    0.0039\t    0.3230\t     47.65\n",
      "207\t    0.1273\t    0.0043\t    0.0039\t    0.3243\t     48.12\n",
      "208\t    0.1272\t    0.0044\t    0.0039\t    0.3256\t     48.59\n",
      "209\t    0.1270\t    0.0044\t    0.0039\t    0.3269\t     49.06\n",
      "210\t    0.1269\t    0.0045\t    0.0039\t    0.3281\t     49.54\n",
      "211\t    0.1268\t    0.0045\t    0.0039\t    0.3294\t     50.01\n",
      "212\t    0.1267\t    0.0045\t    0.0039\t    0.3307\t     50.49\n",
      "213\t    0.1265\t    0.0046\t    0.0040\t    0.3319\t     50.97\n",
      "214\t    0.1264\t    0.0046\t    0.0040\t    0.3332\t     51.45\n",
      "215\t    0.1263\t    0.0046\t    0.0040\t    0.3344\t     51.93\n",
      "216\t    0.1262\t    0.0047\t    0.0040\t    0.3357\t     52.41\n",
      "217\t    0.1261\t    0.0047\t    0.0040\t    0.3370\t     52.89\n",
      "218\t    0.1259\t    0.0048\t    0.0040\t    0.3382\t     53.38\n",
      "219\t    0.1258\t    0.0048\t    0.0040\t    0.3395\t     53.87\n",
      "220\t    0.1257\t    0.0048\t    0.0040\t    0.3407\t     54.35\n",
      "221\t    0.1256\t    0.0049\t    0.0040\t    0.3420\t     54.84\n",
      "222\t    0.1255\t    0.0049\t    0.0041\t    0.3433\t     55.33\n",
      "223\t    0.1253\t    0.0049\t    0.0041\t    0.3445\t     55.82\n",
      "224\t    0.1252\t    0.0050\t    0.0041\t    0.3458\t     56.32\n",
      "225\t    0.1251\t    0.0050\t    0.0041\t    0.3470\t     56.81\n",
      "226\t    0.1250\t    0.0051\t    0.0041\t    0.3483\t     57.31\n",
      "227\t    0.1249\t    0.0051\t    0.0041\t    0.3495\t     57.80\n",
      "228\t    0.1248\t    0.0051\t    0.0041\t    0.3508\t     58.30\n",
      "229\t    0.1246\t    0.0052\t    0.0041\t    0.3520\t     58.80\n",
      "230\t    0.1245\t    0.0052\t    0.0041\t    0.3532\t     59.30\n",
      "231\t    0.1244\t    0.0053\t    0.0041\t    0.3545\t     59.80\n",
      "232\t    0.1243\t    0.0053\t    0.0041\t    0.3557\t     60.30\n",
      "233\t    0.1242\t    0.0053\t    0.0042\t    0.3570\t     60.80\n",
      "234\t    0.1241\t    0.0054\t    0.0042\t    0.3582\t     61.31\n",
      "235\t    0.1240\t    0.0054\t    0.0042\t    0.3595\t     61.81\n",
      "236\t    0.1238\t    0.0055\t    0.0042\t    0.3607\t     62.32\n",
      "237\t    0.1237\t    0.0055\t    0.0042\t    0.3619\t     62.83\n",
      "238\t    0.1236\t    0.0055\t    0.0042\t    0.3632\t     63.34\n",
      "239\t    0.1235\t    0.0056\t    0.0042\t    0.3644\t     63.84\n",
      "240\t    0.1234\t    0.0056\t    0.0042\t    0.3656\t     64.35\n",
      "241\t    0.1233\t    0.0057\t    0.0042\t    0.3669\t     64.87\n",
      "242\t    0.1232\t    0.0057\t    0.0042\t    0.3681\t     65.38\n",
      "243\t    0.1231\t    0.0057\t    0.0042\t    0.3693\t     65.89\n",
      "244\t    0.1230\t    0.0058\t    0.0042\t    0.3706\t     66.40\n",
      "245\t    0.1229\t    0.0058\t    0.0043\t    0.3718\t     66.92\n",
      "246\t    0.1228\t    0.0059\t    0.0043\t    0.3730\t     67.43\n",
      "247\t    0.1227\t    0.0059\t    0.0043\t    0.3742\t     67.95\n",
      "248\t    0.1225\t    0.0060\t    0.0043\t    0.3755\t     68.47\n",
      "249\t    0.1224\t    0.0060\t    0.0043\t    0.3767\t     68.99\n",
      "250\t    0.1223\t    0.0060\t    0.0043\t    0.3779\t     69.50\n",
      "251\t    0.1222\t    0.0061\t    0.0043\t    0.3791\t     70.02\n",
      "252\t    0.1221\t    0.0061\t    0.0043\t    0.3804\t     70.54\n",
      "253\t    0.1220\t    0.0062\t    0.0043\t    0.3816\t     71.07\n",
      "254\t    0.1219\t    0.0062\t    0.0043\t    0.3828\t     71.59\n",
      "255\t    0.1218\t    0.0062\t    0.0043\t    0.3840\t     72.11\n",
      "256\t    0.1217\t    0.0063\t    0.0043\t    0.3852\t     72.63\n",
      "257\t    0.1216\t    0.0063\t    0.0043\t    0.3864\t     73.16\n",
      "258\t    0.1215\t    0.0064\t    0.0043\t    0.3877\t     73.68\n",
      "259\t    0.1214\t    0.0064\t    0.0043\t    0.3889\t     74.21\n",
      "260\t    0.1213\t    0.0065\t    0.0044\t    0.3901\t     74.73\n",
      "261\t    0.1212\t    0.0065\t    0.0044\t    0.3913\t     75.26\n",
      "262\t    0.1211\t    0.0065\t    0.0044\t    0.3925\t     75.79\n",
      "263\t    0.1210\t    0.0066\t    0.0044\t    0.3937\t     76.32\n",
      "264\t    0.1209\t    0.0066\t    0.0044\t    0.3949\t     76.84\n",
      "265\t    0.1208\t    0.0067\t    0.0044\t    0.3961\t     77.37\n",
      "266\t    0.1207\t    0.0067\t    0.0044\t    0.3973\t     77.90\n",
      "267\t    0.1206\t    0.0068\t    0.0044\t    0.3985\t     78.43\n",
      "268\t    0.1205\t    0.0068\t    0.0044\t    0.3998\t     78.96\n",
      "269\t    0.1204\t    0.0068\t    0.0044\t    0.4010\t     79.49\n",
      "270\t    0.1203\t    0.0069\t    0.0044\t    0.4022\t     80.03\n",
      "271\t    0.1202\t    0.0069\t    0.0044\t    0.4034\t     80.56\n",
      "272\t    0.1201\t    0.0070\t    0.0044\t    0.4046\t     81.09\n",
      "273\t    0.1200\t    0.0070\t    0.0044\t    0.4058\t     81.63\n",
      "274\t    0.1199\t    0.0071\t    0.0044\t    0.4070\t     82.16\n",
      "275\t    0.1199\t    0.0071\t    0.0044\t    0.4082\t     82.69\n",
      "276\t    0.1198\t    0.0071\t    0.0044\t    0.4094\t     83.23\n",
      "277\t    0.1197\t    0.0072\t    0.0044\t    0.4106\t     83.76\n",
      "278\t    0.1196\t    0.0072\t    0.0044\t    0.4117\t     84.30\n",
      "279\t    0.1195\t    0.0073\t    0.0044\t    0.4129\t     84.83\n",
      "280\t    0.1194\t    0.0073\t    0.0044\t    0.4141\t     85.37\n",
      "281\t    0.1193\t    0.0074\t    0.0044\t    0.4153\t     85.91\n",
      "282\t    0.1192\t    0.0074\t    0.0044\t    0.4165\t     86.44\n",
      "283\t    0.1191\t    0.0075\t    0.0044\t    0.4177\t     86.98\n",
      "284\t    0.1190\t    0.0075\t    0.0044\t    0.4189\t     87.52\n",
      "285\t    0.1189\t    0.0075\t    0.0045\t    0.4201\t     88.06\n",
      "286\t    0.1188\t    0.0076\t    0.0045\t    0.4213\t     88.60\n",
      "287\t    0.1187\t    0.0076\t    0.0045\t    0.4225\t     89.13\n",
      "288\t    0.1187\t    0.0077\t    0.0045\t    0.4237\t     89.67\n",
      "289\t    0.1186\t    0.0077\t    0.0045\t    0.4248\t     90.21\n",
      "290\t    0.1185\t    0.0078\t    0.0045\t    0.4260\t     90.75\n",
      "291\t    0.1184\t    0.0078\t    0.0045\t    0.4272\t     91.29\n",
      "292\t    0.1183\t    0.0078\t    0.0045\t    0.4284\t     91.83\n",
      "293\t    0.1182\t    0.0079\t    0.0045\t    0.4296\t     92.37\n",
      "294\t    0.1181\t    0.0079\t    0.0045\t    0.4308\t     92.91\n",
      "295\t    0.1180\t    0.0080\t    0.0045\t    0.4319\t     93.45\n",
      "296\t    0.1179\t    0.0080\t    0.0045\t    0.4331\t     93.99\n",
      "297\t    0.1179\t    0.0081\t    0.0045\t    0.4343\t     94.54\n",
      "298\t    0.1178\t    0.0081\t    0.0045\t    0.4355\t     95.08\n",
      "299\t    0.1177\t    0.0082\t    0.0045\t    0.4366\t     95.62\n",
      "300\t    0.1176\t    0.0082\t    0.0045\t    0.4378\t     96.16\n",
      "301\t    0.1175\t    0.0082\t    0.0045\t    0.4390\t     96.70\n",
      "302\t    0.1174\t    0.0083\t    0.0045\t    0.4402\t     97.24\n",
      "303\t    0.1173\t    0.0083\t    0.0045\t    0.4413\t     97.79\n",
      "304\t    0.1173\t    0.0084\t    0.0045\t    0.4425\t     98.33\n",
      "305\t    0.1172\t    0.0084\t    0.0045\t    0.4437\t     98.87\n",
      "306\t    0.1171\t    0.0085\t    0.0045\t    0.4449\t     99.41\n",
      "307\t    0.1170\t    0.0085\t    0.0045\t    0.4460\t     99.96\n",
      "308\t    0.1169\t    0.0086\t    0.0045\t    0.4472\t    100.50\n",
      "309\t    0.1168\t    0.0086\t    0.0045\t    0.4484\t    101.04\n",
      "310\t    0.1168\t    0.0086\t    0.0045\t    0.4495\t    101.58\n",
      "311\t    0.1167\t    0.0087\t    0.0045\t    0.4507\t    102.13\n",
      "312\t    0.1166\t    0.0087\t    0.0045\t    0.4519\t    102.67\n",
      "313\t    0.1165\t    0.0088\t    0.0045\t    0.4530\t    103.21\n",
      "314\t    0.1164\t    0.0088\t    0.0045\t    0.4542\t    103.76\n",
      "315\t    0.1163\t    0.0089\t    0.0045\t    0.4554\t    104.30\n",
      "316\t    0.1163\t    0.0089\t    0.0045\t    0.4565\t    104.84\n",
      "317\t    0.1162\t    0.0090\t    0.0045\t    0.4577\t    105.39\n",
      "318\t    0.1161\t    0.0090\t    0.0045\t    0.4588\t    105.93\n",
      "319\t    0.1160\t    0.0090\t    0.0045\t    0.4600\t    106.47\n",
      "320\t    0.1159\t    0.0091\t    0.0045\t    0.4612\t    107.02\n",
      "321\t    0.1159\t    0.0091\t    0.0045\t    0.4623\t    107.56\n",
      "322\t    0.1158\t    0.0092\t    0.0045\t    0.4635\t    108.10\n",
      "323\t    0.1157\t    0.0092\t    0.0045\t    0.4646\t    108.65\n",
      "324\t    0.1156\t    0.0093\t    0.0045\t    0.4658\t    109.19\n",
      "325\t    0.1155\t    0.0093\t    0.0045\t    0.4669\t    109.73\n",
      "326\t    0.1155\t    0.0094\t    0.0045\t    0.4681\t    110.27\n",
      "327\t    0.1154\t    0.0094\t    0.0045\t    0.4692\t    110.82\n",
      "328\t    0.1153\t    0.0094\t    0.0045\t    0.4704\t    111.36\n",
      "329\t    0.1152\t    0.0095\t    0.0045\t    0.4716\t    111.90\n",
      "330\t    0.1152\t    0.0095\t    0.0045\t    0.4727\t    112.45\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "331\t    0.1151\t    0.0096\t    0.0045\t    0.4739\t    112.99\n",
      "332\t    0.1150\t    0.0096\t    0.0045\t    0.4750\t    113.53\n",
      "333\t    0.1149\t    0.0097\t    0.0045\t    0.4762\t    114.07\n",
      "334\t    0.1148\t    0.0097\t    0.0045\t    0.4773\t    114.61\n",
      "335\t    0.1148\t    0.0098\t    0.0045\t    0.4785\t    115.16\n",
      "336\t    0.1147\t    0.0098\t    0.0045\t    0.4796\t    115.70\n",
      "337\t    0.1146\t    0.0098\t    0.0045\t    0.4807\t    116.24\n",
      "338\t    0.1145\t    0.0099\t    0.0045\t    0.4819\t    116.78\n",
      "339\t    0.1145\t    0.0099\t    0.0045\t    0.4830\t    117.32\n",
      "340\t    0.1144\t    0.0100\t    0.0045\t    0.4842\t    117.86\n",
      "341\t    0.1143\t    0.0100\t    0.0045\t    0.4853\t    118.41\n",
      "342\t    0.1142\t    0.0101\t    0.0045\t    0.4865\t    118.95\n",
      "343\t    0.1142\t    0.0101\t    0.0045\t    0.4876\t    119.49\n",
      "344\t    0.1141\t    0.0102\t    0.0045\t    0.4887\t    120.03\n",
      "345\t    0.1140\t    0.0102\t    0.0045\t    0.4899\t    120.57\n",
      "346\t    0.1139\t    0.0102\t    0.0045\t    0.4910\t    121.11\n",
      "347\t    0.1139\t    0.0103\t    0.0045\t    0.4922\t    121.65\n",
      "348\t    0.1138\t    0.0103\t    0.0045\t    0.4933\t    122.19\n",
      "349\t    0.1137\t    0.0104\t    0.0045\t    0.4944\t    122.73\n",
      "350\t    0.1136\t    0.0104\t    0.0045\t    0.4956\t    123.27\n",
      "351\t    0.1136\t    0.0105\t    0.0045\t    0.4967\t    123.81\n",
      "352\t    0.1135\t    0.0105\t    0.0045\t    0.4978\t    124.35\n",
      "353\t    0.1134\t    0.0106\t    0.0045\t    0.4990\t    124.89\n",
      "354\t    0.1134\t    0.0106\t    0.0045\t    0.5001\t    125.42\n",
      "355\t    0.1133\t    0.0106\t    0.0045\t    0.5012\t    125.96\n",
      "356\t    0.1132\t    0.0107\t    0.0045\t    0.5024\t    126.50\n",
      "357\t    0.1131\t    0.0107\t    0.0045\t    0.5035\t    127.04\n",
      "358\t    0.1131\t    0.0108\t    0.0044\t    0.5046\t    127.58\n",
      "359\t    0.1130\t    0.0108\t    0.0044\t    0.5058\t    128.11\n",
      "360\t    0.1129\t    0.0109\t    0.0044\t    0.5069\t    128.65\n",
      "361\t    0.1129\t    0.0109\t    0.0044\t    0.5080\t    129.19\n",
      "362\t    0.1128\t    0.0109\t    0.0044\t    0.5091\t    129.72\n",
      "363\t    0.1127\t    0.0110\t    0.0044\t    0.5103\t    130.26\n",
      "364\t    0.1126\t    0.0110\t    0.0044\t    0.5114\t    130.79\n",
      "365\t    0.1126\t    0.0111\t    0.0044\t    0.5125\t    131.33\n",
      "366\t    0.1125\t    0.0111\t    0.0044\t    0.5137\t    131.87\n",
      "367\t    0.1124\t    0.0112\t    0.0044\t    0.5148\t    132.40\n",
      "368\t    0.1124\t    0.0112\t    0.0044\t    0.5159\t    132.94\n",
      "369\t    0.1123\t    0.0113\t    0.0044\t    0.5170\t    133.47\n",
      "370\t    0.1122\t    0.0113\t    0.0044\t    0.5181\t    134.00\n",
      "371\t    0.1122\t    0.0113\t    0.0044\t    0.5193\t    134.54\n",
      "372\t    0.1121\t    0.0114\t    0.0044\t    0.5204\t    135.07\n",
      "373\t    0.1120\t    0.0114\t    0.0044\t    0.5215\t    135.60\n",
      "374\t    0.1120\t    0.0115\t    0.0044\t    0.5226\t    136.14\n",
      "375\t    0.1119\t    0.0115\t    0.0044\t    0.5237\t    136.67\n",
      "376\t    0.1118\t    0.0116\t    0.0044\t    0.5249\t    137.20\n",
      "377\t    0.1118\t    0.0116\t    0.0044\t    0.5260\t    137.73\n",
      "378\t    0.1117\t    0.0117\t    0.0044\t    0.5271\t    138.26\n",
      "379\t    0.1116\t    0.0117\t    0.0044\t    0.5282\t    138.79\n",
      "380\t    0.1116\t    0.0117\t    0.0044\t    0.5293\t    139.33\n",
      "381\t    0.1115\t    0.0118\t    0.0044\t    0.5304\t    139.86\n",
      "382\t    0.1114\t    0.0118\t    0.0044\t    0.5316\t    140.39\n",
      "383\t    0.1114\t    0.0119\t    0.0044\t    0.5327\t    140.91\n",
      "384\t    0.1113\t    0.0119\t    0.0044\t    0.5338\t    141.44\n",
      "385\t    0.1112\t    0.0120\t    0.0044\t    0.5349\t    141.97\n",
      "386\t    0.1112\t    0.0120\t    0.0044\t    0.5360\t    142.50\n",
      "387\t    0.1111\t    0.0120\t    0.0044\t    0.5371\t    143.03\n",
      "388\t    0.1110\t    0.0121\t    0.0044\t    0.5382\t    143.56\n",
      "389\t    0.1110\t    0.0121\t    0.0044\t    0.5393\t    144.08\n",
      "390\t    0.1109\t    0.0122\t    0.0044\t    0.5404\t    144.61\n",
      "391\t    0.1108\t    0.0122\t    0.0044\t    0.5416\t    145.14\n",
      "392\t    0.1108\t    0.0123\t    0.0044\t    0.5427\t    145.66\n",
      "393\t    0.1107\t    0.0123\t    0.0044\t    0.5438\t    146.19\n",
      "394\t    0.1106\t    0.0123\t    0.0043\t    0.5449\t    146.71\n",
      "395\t    0.1106\t    0.0124\t    0.0043\t    0.5460\t    147.24\n",
      "396\t    0.1105\t    0.0124\t    0.0043\t    0.5471\t    147.76\n",
      "397\t    0.1105\t    0.0125\t    0.0043\t    0.5482\t    148.29\n",
      "398\t    0.1104\t    0.0125\t    0.0043\t    0.5493\t    148.81\n",
      "399\t    0.1103\t    0.0126\t    0.0043\t    0.5504\t    149.33\n",
      "400\t    0.1103\t    0.0126\t    0.0043\t    0.5515\t    149.86\n",
      "401\t    0.1102\t    0.0126\t    0.0043\t    0.5526\t    150.38\n",
      "402\t    0.1101\t    0.0127\t    0.0043\t    0.5537\t    150.90\n",
      "403\t    0.1101\t    0.0127\t    0.0043\t    0.5548\t    151.42\n",
      "404\t    0.1100\t    0.0128\t    0.0043\t    0.5559\t    151.94\n",
      "405\t    0.1099\t    0.0128\t    0.0043\t    0.5570\t    152.46\n",
      "406\t    0.1099\t    0.0129\t    0.0043\t    0.5581\t    152.98\n",
      "407\t    0.1098\t    0.0129\t    0.0043\t    0.5592\t    153.50\n",
      "408\t    0.1098\t    0.0129\t    0.0043\t    0.5603\t    154.02\n",
      "409\t    0.1097\t    0.0130\t    0.0043\t    0.5614\t    154.54\n",
      "410\t    0.1096\t    0.0130\t    0.0043\t    0.5625\t    155.06\n",
      "411\t    0.1096\t    0.0131\t    0.0043\t    0.5636\t    155.58\n",
      "412\t    0.1095\t    0.0131\t    0.0043\t    0.5647\t    156.09\n",
      "413\t    0.1095\t    0.0132\t    0.0043\t    0.5658\t    156.61\n",
      "414\t    0.1094\t    0.0132\t    0.0043\t    0.5669\t    157.13\n",
      "415\t    0.1093\t    0.0132\t    0.0043\t    0.5680\t    157.64\n",
      "416\t    0.1093\t    0.0133\t    0.0043\t    0.5690\t    158.16\n",
      "417\t    0.1092\t    0.0133\t    0.0043\t    0.5701\t    158.67\n",
      "418\t    0.1092\t    0.0134\t    0.0043\t    0.5712\t    159.19\n",
      "419\t    0.1091\t    0.0134\t    0.0043\t    0.5723\t    159.70\n",
      "420\t    0.1090\t    0.0135\t    0.0043\t    0.5734\t    160.22\n",
      "421\t    0.1090\t    0.0135\t    0.0042\t    0.5745\t    160.73\n",
      "422\t    0.1089\t    0.0135\t    0.0042\t    0.5756\t    161.24\n",
      "423\t    0.1089\t    0.0136\t    0.0042\t    0.5767\t    161.76\n",
      "424\t    0.1088\t    0.0136\t    0.0042\t    0.5778\t    162.27\n",
      "425\t    0.1087\t    0.0137\t    0.0042\t    0.5789\t    162.78\n",
      "426\t    0.1087\t    0.0137\t    0.0042\t    0.5799\t    163.29\n",
      "427\t    0.1086\t    0.0138\t    0.0042\t    0.5810\t    163.80\n",
      "428\t    0.1086\t    0.0138\t    0.0042\t    0.5821\t    164.31\n",
      "429\t    0.1085\t    0.0138\t    0.0042\t    0.5832\t    164.82\n",
      "430\t    0.1084\t    0.0139\t    0.0042\t    0.5843\t    165.33\n",
      "431\t    0.1084\t    0.0139\t    0.0042\t    0.5854\t    165.84\n",
      "432\t    0.1083\t    0.0140\t    0.0042\t    0.5864\t    166.34\n",
      "433\t    0.1083\t    0.0140\t    0.0042\t    0.5875\t    166.85\n",
      "434\t    0.1082\t    0.0140\t    0.0042\t    0.5886\t    167.36\n",
      "435\t    0.1082\t    0.0141\t    0.0042\t    0.5897\t    167.86\n",
      "436\t    0.1081\t    0.0141\t    0.0042\t    0.5908\t    168.37\n",
      "437\t    0.1080\t    0.0142\t    0.0042\t    0.5919\t    168.88\n",
      "438\t    0.1080\t    0.0142\t    0.0042\t    0.5929\t    169.38\n",
      "439\t    0.1079\t    0.0143\t    0.0042\t    0.5940\t    169.89\n",
      "440\t    0.1079\t    0.0143\t    0.0042\t    0.5951\t    170.39\n",
      "441\t    0.1078\t    0.0143\t    0.0042\t    0.5962\t    170.89\n",
      "442\t    0.1078\t    0.0144\t    0.0042\t    0.5972\t    171.40\n",
      "443\t    0.1077\t    0.0144\t    0.0042\t    0.5983\t    171.90\n",
      "444\t    0.1076\t    0.0145\t    0.0042\t    0.5994\t    172.40\n",
      "445\t    0.1076\t    0.0145\t    0.0042\t    0.6005\t    172.90\n",
      "446\t    0.1075\t    0.0145\t    0.0041\t    0.6015\t    173.40\n",
      "447\t    0.1075\t    0.0146\t    0.0041\t    0.6026\t    173.90\n",
      "448\t    0.1074\t    0.0146\t    0.0041\t    0.6037\t    174.40\n",
      "449\t    0.1074\t    0.0147\t    0.0041\t    0.6048\t    174.90\n",
      "450\t    0.1073\t    0.0147\t    0.0041\t    0.6058\t    175.40\n",
      "451\t    0.1073\t    0.0148\t    0.0041\t    0.6069\t    175.90\n",
      "452\t    0.1072\t    0.0148\t    0.0041\t    0.6080\t    176.40\n",
      "453\t    0.1071\t    0.0148\t    0.0041\t    0.6091\t    176.89\n",
      "454\t    0.1071\t    0.0149\t    0.0041\t    0.6101\t    177.39\n",
      "455\t    0.1070\t    0.0149\t    0.0041\t    0.6112\t    177.89\n",
      "456\t    0.1070\t    0.0150\t    0.0041\t    0.6123\t    178.38\n",
      "457\t    0.1069\t    0.0150\t    0.0041\t    0.6133\t    178.88\n",
      "458\t    0.1069\t    0.0150\t    0.0041\t    0.6144\t    179.37\n",
      "459\t    0.1068\t    0.0151\t    0.0041\t    0.6155\t    179.87\n",
      "460\t    0.1068\t    0.0151\t    0.0041\t    0.6165\t    180.36\n",
      "461\t    0.1067\t    0.0152\t    0.0041\t    0.6176\t    180.85\n",
      "462\t    0.1067\t    0.0152\t    0.0041\t    0.6187\t    181.35\n",
      "463\t    0.1066\t    0.0152\t    0.0041\t    0.6197\t    181.84\n",
      "464\t    0.1065\t    0.0153\t    0.0041\t    0.6208\t    182.33\n",
      "465\t    0.1065\t    0.0153\t    0.0041\t    0.6219\t    182.82\n",
      "466\t    0.1064\t    0.0154\t    0.0041\t    0.6229\t    183.31\n",
      "467\t    0.1064\t    0.0154\t    0.0041\t    0.6240\t    183.80\n",
      "468\t    0.1063\t    0.0154\t    0.0041\t    0.6251\t    184.29\n",
      "469\t    0.1063\t    0.0155\t    0.0040\t    0.6261\t    184.78\n",
      "470\t    0.1062\t    0.0155\t    0.0040\t    0.6272\t    185.27\n",
      "471\t    0.1062\t    0.0156\t    0.0040\t    0.6282\t    185.75\n",
      "472\t    0.1061\t    0.0156\t    0.0040\t    0.6293\t    186.24\n",
      "473\t    0.1061\t    0.0156\t    0.0040\t    0.6304\t    186.73\n",
      "474\t    0.1060\t    0.0157\t    0.0040\t    0.6314\t    187.21\n",
      "475\t    0.1060\t    0.0157\t    0.0040\t    0.6325\t    187.70\n",
      "476\t    0.1059\t    0.0158\t    0.0040\t    0.6335\t    188.18\n",
      "477\t    0.1059\t    0.0158\t    0.0040\t    0.6346\t    188.67\n",
      "478\t    0.1058\t    0.0158\t    0.0040\t    0.6357\t    189.15\n",
      "479\t    0.1058\t    0.0159\t    0.0040\t    0.6367\t    189.64\n",
      "480\t    0.1057\t    0.0159\t    0.0040\t    0.6378\t    190.12\n",
      "481\t    0.1057\t    0.0160\t    0.0040\t    0.6388\t    190.60\n",
      "482\t    0.1056\t    0.0160\t    0.0040\t    0.6399\t    191.08\n",
      "483\t    0.1056\t    0.0160\t    0.0040\t    0.6409\t    191.57\n",
      "484\t    0.1055\t    0.0161\t    0.0040\t    0.6420\t    192.05\n",
      "485\t    0.1055\t    0.0161\t    0.0040\t    0.6431\t    192.53\n",
      "486\t    0.1054\t    0.0162\t    0.0040\t    0.6441\t    193.01\n",
      "487\t    0.1053\t    0.0162\t    0.0040\t    0.6452\t    193.49\n",
      "488\t    0.1053\t    0.0162\t    0.0040\t    0.6462\t    193.96\n",
      "489\t    0.1052\t    0.0163\t    0.0040\t    0.6473\t    194.44\n",
      "490\t    0.1052\t    0.0163\t    0.0040\t    0.6483\t    194.92\n",
      "491\t    0.1051\t    0.0164\t    0.0039\t    0.6494\t    195.40\n",
      "492\t    0.1051\t    0.0164\t    0.0039\t    0.6504\t    195.87\n",
      "493\t    0.1050\t    0.0164\t    0.0039\t    0.6515\t    196.35\n",
      "494\t    0.1050\t    0.0165\t    0.0039\t    0.6525\t    196.82\n",
      "495\t    0.1049\t    0.0165\t    0.0039\t    0.6536\t    197.30\n",
      "496\t    0.1049\t    0.0166\t    0.0039\t    0.6546\t    197.77\n",
      "497\t    0.1048\t    0.0166\t    0.0039\t    0.6557\t    198.25\n",
      "498\t    0.1048\t    0.0166\t    0.0039\t    0.6567\t    198.72\n",
      "499\t    0.1047\t    0.0167\t    0.0039\t    0.6578\t    199.19\n",
      "500\t    0.1047\t    0.0167\t    0.0039\t    0.6588\t    199.67\n",
      "501\t    0.1047\t    0.0168\t    0.0039\t    0.6599\t    200.14\n",
      "502\t    0.1046\t    0.0168\t    0.0039\t    0.6609\t    200.61\n",
      "503\t    0.1046\t    0.0168\t    0.0039\t    0.6619\t    201.08\n",
      "504\t    0.1045\t    0.0169\t    0.0039\t    0.6630\t    201.55\n",
      "505\t    0.1045\t    0.0169\t    0.0039\t    0.6640\t    202.02\n",
      "506\t    0.1044\t    0.0169\t    0.0039\t    0.6651\t    202.49\n",
      "507\t    0.1044\t    0.0170\t    0.0039\t    0.6661\t    202.95\n",
      "508\t    0.1043\t    0.0170\t    0.0039\t    0.6672\t    203.42\n",
      "509\t    0.1043\t    0.0171\t    0.0039\t    0.6682\t    203.89\n",
      "510\t    0.1042\t    0.0171\t    0.0039\t    0.6692\t    204.36\n",
      "511\t    0.1042\t    0.0171\t    0.0039\t    0.6703\t    204.82\n",
      "512\t    0.1041\t    0.0172\t    0.0039\t    0.6713\t    205.29\n",
      "513\t    0.1041\t    0.0172\t    0.0038\t    0.6724\t    205.75\n",
      "514\t    0.1040\t    0.0173\t    0.0038\t    0.6734\t    206.22\n",
      "515\t    0.1040\t    0.0173\t    0.0038\t    0.6744\t    206.68\n",
      "516\t    0.1039\t    0.0173\t    0.0038\t    0.6755\t    207.15\n",
      "517\t    0.1039\t    0.0174\t    0.0038\t    0.6765\t    207.61\n",
      "518\t    0.1038\t    0.0174\t    0.0038\t    0.6776\t    208.07\n",
      "519\t    0.1038\t    0.0174\t    0.0038\t    0.6786\t    208.53\n",
      "520\t    0.1037\t    0.0175\t    0.0038\t    0.6796\t    208.99\n",
      "521\t    0.1037\t    0.0175\t    0.0038\t    0.6807\t    209.45\n",
      "522\t    0.1036\t    0.0176\t    0.0038\t    0.6817\t    209.91\n",
      "523\t    0.1036\t    0.0176\t    0.0038\t    0.6827\t    210.37\n",
      "524\t    0.1035\t    0.0176\t    0.0038\t    0.6838\t    210.83\n",
      "525\t    0.1035\t    0.0177\t    0.0038\t    0.6848\t    211.29\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "526\t    0.1035\t    0.0177\t    0.0038\t    0.6858\t    211.75\n",
      "527\t    0.1034\t    0.0177\t    0.0038\t    0.6869\t    212.21\n",
      "528\t    0.1034\t    0.0178\t    0.0038\t    0.6879\t    212.66\n",
      "529\t    0.1033\t    0.0178\t    0.0038\t    0.6889\t    213.12\n",
      "530\t    0.1033\t    0.0179\t    0.0038\t    0.6900\t    213.58\n",
      "531\t    0.1032\t    0.0179\t    0.0038\t    0.6910\t    214.03\n",
      "532\t    0.1032\t    0.0179\t    0.0038\t    0.6920\t    214.49\n",
      "533\t    0.1031\t    0.0180\t    0.0038\t    0.6931\t    214.94\n",
      "534\t    0.1031\t    0.0180\t    0.0038\t    0.6941\t    215.40\n",
      "535\t    0.1030\t    0.0180\t    0.0038\t    0.6951\t    215.85\n",
      "536\t    0.1030\t    0.0181\t    0.0037\t    0.6962\t    216.30\n",
      "537\t    0.1029\t    0.0181\t    0.0037\t    0.6972\t    216.75\n",
      "538\t    0.1029\t    0.0182\t    0.0037\t    0.6982\t    217.20\n",
      "539\t    0.1029\t    0.0182\t    0.0037\t    0.6993\t    217.66\n",
      "540\t    0.1028\t    0.0182\t    0.0037\t    0.7003\t    218.11\n",
      "541\t    0.1028\t    0.0183\t    0.0037\t    0.7013\t    218.56\n",
      "542\t    0.1027\t    0.0183\t    0.0037\t    0.7023\t    219.01\n",
      "543\t    0.1027\t    0.0183\t    0.0037\t    0.7034\t    219.45\n",
      "544\t    0.1026\t    0.0184\t    0.0037\t    0.7044\t    219.90\n",
      "545\t    0.1026\t    0.0184\t    0.0037\t    0.7054\t    220.35\n",
      "546\t    0.1025\t    0.0185\t    0.0037\t    0.7064\t    220.80\n",
      "547\t    0.1025\t    0.0185\t    0.0037\t    0.7075\t    221.24\n",
      "548\t    0.1024\t    0.0185\t    0.0037\t    0.7085\t    221.69\n",
      "549\t    0.1024\t    0.0186\t    0.0037\t    0.7095\t    222.14\n",
      "550\t    0.1024\t    0.0186\t    0.0037\t    0.7105\t    222.58\n",
      "551\t    0.1023\t    0.0186\t    0.0037\t    0.7116\t    223.03\n",
      "552\t    0.1023\t    0.0187\t    0.0037\t    0.7126\t    223.47\n",
      "553\t    0.1022\t    0.0187\t    0.0037\t    0.7136\t    223.91\n",
      "554\t    0.1022\t    0.0188\t    0.0037\t    0.7146\t    224.36\n",
      "555\t    0.1021\t    0.0188\t    0.0037\t    0.7156\t    224.80\n",
      "556\t    0.1021\t    0.0188\t    0.0037\t    0.7167\t    225.24\n",
      "557\t    0.1021\t    0.0189\t    0.0037\t    0.7177\t    225.68\n",
      "558\t    0.1020\t    0.0189\t    0.0036\t    0.7187\t    226.12\n",
      "559\t    0.1020\t    0.0189\t    0.0036\t    0.7197\t    226.56\n",
      "560\t    0.1019\t    0.0190\t    0.0036\t    0.7207\t    227.00\n",
      "561\t    0.1019\t    0.0190\t    0.0036\t    0.7218\t    227.44\n",
      "562\t    0.1018\t    0.0190\t    0.0036\t    0.7228\t    227.88\n",
      "563\t    0.1018\t    0.0191\t    0.0036\t    0.7238\t    228.32\n",
      "564\t    0.1017\t    0.0191\t    0.0036\t    0.7248\t    228.76\n",
      "565\t    0.1017\t    0.0191\t    0.0036\t    0.7258\t    229.20\n",
      "566\t    0.1017\t    0.0192\t    0.0036\t    0.7268\t    229.63\n",
      "567\t    0.1016\t    0.0192\t    0.0036\t    0.7279\t    230.07\n",
      "568\t    0.1016\t    0.0193\t    0.0036\t    0.7289\t    230.50\n",
      "569\t    0.1015\t    0.0193\t    0.0036\t    0.7299\t    230.94\n",
      "570\t    0.1015\t    0.0193\t    0.0036\t    0.7309\t    231.37\n",
      "571\t    0.1014\t    0.0194\t    0.0036\t    0.7319\t    231.81\n",
      "572\t    0.1014\t    0.0194\t    0.0036\t    0.7329\t    232.24\n",
      "573\t    0.1014\t    0.0194\t    0.0036\t    0.7339\t    232.68\n",
      "574\t    0.1013\t    0.0195\t    0.0036\t    0.7350\t    233.11\n",
      "575\t    0.1013\t    0.0195\t    0.0036\t    0.7360\t    233.54\n",
      "576\t    0.1012\t    0.0195\t    0.0036\t    0.7370\t    233.97\n",
      "577\t    0.1012\t    0.0196\t    0.0036\t    0.7380\t    234.40\n",
      "578\t    0.1012\t    0.0196\t    0.0036\t    0.7390\t    234.83\n",
      "579\t    0.1011\t    0.0197\t    0.0036\t    0.7400\t    235.26\n",
      "580\t    0.1011\t    0.0197\t    0.0036\t    0.7410\t    235.69\n",
      "581\t    0.1010\t    0.0197\t    0.0035\t    0.7420\t    236.12\n",
      "582\t    0.1010\t    0.0198\t    0.0035\t    0.7430\t    236.55\n",
      "583\t    0.1009\t    0.0198\t    0.0035\t    0.7441\t    236.98\n",
      "584\t    0.1009\t    0.0198\t    0.0035\t    0.7451\t    237.41\n",
      "585\t    0.1009\t    0.0199\t    0.0035\t    0.7461\t    237.83\n",
      "586\t    0.1008\t    0.0199\t    0.0035\t    0.7471\t    238.26\n",
      "587\t    0.1008\t    0.0199\t    0.0035\t    0.7481\t    238.68\n",
      "588\t    0.1007\t    0.0200\t    0.0035\t    0.7491\t    239.11\n",
      "589\t    0.1007\t    0.0200\t    0.0035\t    0.7501\t    239.53\n",
      "590\t    0.1007\t    0.0200\t    0.0035\t    0.7511\t    239.96\n",
      "591\t    0.1006\t    0.0201\t    0.0035\t    0.7521\t    240.38\n",
      "592\t    0.1006\t    0.0201\t    0.0035\t    0.7531\t    240.81\n",
      "593\t    0.1005\t    0.0201\t    0.0035\t    0.7541\t    241.23\n",
      "594\t    0.1005\t    0.0202\t    0.0035\t    0.7551\t    241.65\n",
      "595\t    0.1004\t    0.0202\t    0.0035\t    0.7561\t    242.07\n",
      "596\t    0.1004\t    0.0202\t    0.0035\t    0.7571\t    242.49\n",
      "597\t    0.1004\t    0.0203\t    0.0035\t    0.7581\t    242.91\n",
      "598\t    0.1003\t    0.0203\t    0.0035\t    0.7591\t    243.33\n",
      "599\t    0.1003\t    0.0204\t    0.0035\t    0.7601\t    243.75\n",
      "600\t    0.1002\t    0.0204\t    0.0035\t    0.7611\t    244.17\n",
      "601\t    0.1002\t    0.0204\t    0.0034\t    0.7621\t    244.59\n",
      "602\t    0.1001\t    0.0205\t    0.0034\t    0.7632\t    245.01\n",
      "603\t    0.1001\t    0.0205\t    0.0034\t    0.7642\t    245.43\n",
      "604\t    0.1000\t    0.0205\t    0.0034\t    0.7652\t    245.84\n",
      "605\t    0.1000\t    0.0206\t    0.0034\t    0.7662\t    246.26\n",
      "606\t    0.1000\t    0.0206\t    0.0034\t    0.7672\t    246.67\n",
      "607\t    0.0999\t    0.0206\t    0.0034\t    0.7681\t    247.08\n",
      "608\t    0.0999\t    0.0207\t    0.0034\t    0.7691\t    247.50\n",
      "609\t    0.0998\t    0.0207\t    0.0034\t    0.7701\t    247.91\n",
      "610\t    0.0998\t    0.0207\t    0.0034\t    0.7711\t    248.32\n",
      "611\t    0.0998\t    0.0208\t    0.0034\t    0.7721\t    248.73\n",
      "612\t    0.0997\t    0.0208\t    0.0034\t    0.7731\t    249.15\n",
      "613\t    0.0997\t    0.0208\t    0.0034\t    0.7741\t    249.56\n",
      "614\t    0.0996\t    0.0209\t    0.0034\t    0.7751\t    249.97\n",
      "615\t    0.0996\t    0.0209\t    0.0034\t    0.7761\t    250.38\n",
      "616\t    0.0996\t    0.0209\t    0.0034\t    0.7771\t    250.79\n",
      "617\t    0.0995\t    0.0210\t    0.0034\t    0.7781\t    251.19\n",
      "618\t    0.0995\t    0.0210\t    0.0034\t    0.7791\t    251.60\n",
      "619\t    0.0994\t    0.0210\t    0.0034\t    0.7801\t    252.01\n",
      "620\t    0.0994\t    0.0211\t    0.0034\t    0.7811\t    252.42\n",
      "621\t    0.0994\t    0.0211\t    0.0034\t    0.7821\t    252.83\n",
      "622\t    0.0993\t    0.0211\t    0.0034\t    0.7831\t    253.23\n",
      "623\t    0.0993\t    0.0212\t    0.0034\t    0.7841\t    253.64\n",
      "624\t    0.0993\t    0.0212\t    0.0034\t    0.7851\t    254.04\n",
      "625\t    0.0992\t    0.0212\t    0.0034\t    0.7861\t    254.45\n",
      "626\t    0.0992\t    0.0213\t    0.0033\t    0.7871\t    254.85\n",
      "627\t    0.0991\t    0.0213\t    0.0033\t    0.7880\t    255.26\n",
      "628\t    0.0991\t    0.0213\t    0.0033\t    0.7890\t    255.66\n",
      "629\t    0.0991\t    0.0214\t    0.0033\t    0.7900\t    256.07\n",
      "630\t    0.0990\t    0.0214\t    0.0033\t    0.7910\t    256.47\n",
      "631\t    0.0990\t    0.0214\t    0.0033\t    0.7920\t    256.87\n",
      "632\t    0.0989\t    0.0215\t    0.0033\t    0.7930\t    257.27\n",
      "633\t    0.0989\t    0.0215\t    0.0033\t    0.7940\t    257.67\n",
      "634\t    0.0989\t    0.0215\t    0.0033\t    0.7950\t    258.07\n",
      "635\t    0.0988\t    0.0216\t    0.0033\t    0.7960\t    258.48\n",
      "636\t    0.0988\t    0.0216\t    0.0033\t    0.7969\t    258.87\n",
      "637\t    0.0988\t    0.0216\t    0.0033\t    0.7979\t    259.27\n",
      "638\t    0.0987\t    0.0217\t    0.0033\t    0.7989\t    259.67\n",
      "639\t    0.0987\t    0.0217\t    0.0033\t    0.7999\t    260.07\n",
      "640\t    0.0986\t    0.0217\t    0.0033\t    0.8009\t    260.47\n",
      "641\t    0.0986\t    0.0218\t    0.0033\t    0.8019\t    260.87\n",
      "642\t    0.0986\t    0.0218\t    0.0033\t    0.8029\t    261.27\n",
      "643\t    0.0985\t    0.0218\t    0.0033\t    0.8038\t    261.66\n",
      "644\t    0.0985\t    0.0219\t    0.0033\t    0.8048\t    262.06\n",
      "645\t    0.0985\t    0.0219\t    0.0033\t    0.8058\t    262.45\n",
      "646\t    0.0984\t    0.0219\t    0.0033\t    0.8068\t    262.85\n",
      "647\t    0.0984\t    0.0220\t    0.0033\t    0.8078\t    263.24\n",
      "648\t    0.0984\t    0.0220\t    0.0033\t    0.8088\t    263.64\n",
      "649\t    0.0983\t    0.0220\t    0.0033\t    0.8098\t    264.03\n",
      "650\t    0.0983\t    0.0221\t    0.0033\t    0.8107\t    264.43\n",
      "651\t    0.0982\t    0.0221\t    0.0033\t    0.8117\t    264.82\n",
      "652\t    0.0982\t    0.0221\t    0.0032\t    0.8127\t    265.21\n",
      "653\t    0.0982\t    0.0222\t    0.0032\t    0.8137\t    265.60\n",
      "654\t    0.0981\t    0.0222\t    0.0032\t    0.8147\t    266.00\n",
      "655\t    0.0981\t    0.0222\t    0.0032\t    0.8156\t    266.39\n",
      "656\t    0.0981\t    0.0223\t    0.0032\t    0.8166\t    266.78\n",
      "657\t    0.0980\t    0.0223\t    0.0032\t    0.8176\t    267.17\n",
      "658\t    0.0980\t    0.0223\t    0.0032\t    0.8186\t    267.56\n",
      "659\t    0.0979\t    0.0223\t    0.0032\t    0.8196\t    267.95\n",
      "660\t    0.0979\t    0.0224\t    0.0032\t    0.8205\t    268.34\n",
      "661\t    0.0979\t    0.0224\t    0.0032\t    0.8215\t    268.72\n",
      "662\t    0.0978\t    0.0224\t    0.0032\t    0.8225\t    269.11\n",
      "663\t    0.0978\t    0.0225\t    0.0032\t    0.8235\t    269.50\n",
      "664\t    0.0978\t    0.0225\t    0.0032\t    0.8245\t    269.89\n",
      "665\t    0.0977\t    0.0225\t    0.0032\t    0.8254\t    270.27\n",
      "666\t    0.0977\t    0.0226\t    0.0032\t    0.8264\t    270.66\n",
      "667\t    0.0977\t    0.0226\t    0.0032\t    0.8274\t    271.05\n",
      "668\t    0.0976\t    0.0226\t    0.0032\t    0.8284\t    271.43\n",
      "669\t    0.0976\t    0.0227\t    0.0032\t    0.8293\t    271.82\n",
      "670\t    0.0976\t    0.0227\t    0.0032\t    0.8303\t    272.20\n",
      "671\t    0.0975\t    0.0227\t    0.0032\t    0.8313\t    272.59\n",
      "672\t    0.0975\t    0.0228\t    0.0032\t    0.8323\t    272.97\n",
      "673\t    0.0974\t    0.0228\t    0.0032\t    0.8332\t    273.35\n",
      "674\t    0.0974\t    0.0228\t    0.0032\t    0.8342\t    273.73\n",
      "675\t    0.0974\t    0.0229\t    0.0032\t    0.8352\t    274.12\n",
      "676\t    0.0973\t    0.0229\t    0.0032\t    0.8362\t    274.50\n",
      "677\t    0.0973\t    0.0229\t    0.0032\t    0.8371\t    274.88\n",
      "678\t    0.0973\t    0.0230\t    0.0032\t    0.8381\t    275.26\n",
      "679\t    0.0972\t    0.0230\t    0.0031\t    0.8391\t    275.64\n",
      "680\t    0.0972\t    0.0230\t    0.0031\t    0.8400\t    276.02\n",
      "681\t    0.0972\t    0.0230\t    0.0031\t    0.8410\t    276.40\n",
      "682\t    0.0971\t    0.0231\t    0.0031\t    0.8420\t    276.78\n",
      "683\t    0.0971\t    0.0231\t    0.0031\t    0.8430\t    277.16\n",
      "684\t    0.0971\t    0.0231\t    0.0031\t    0.8439\t    277.54\n",
      "685\t    0.0970\t    0.0232\t    0.0031\t    0.8449\t    277.92\n",
      "686\t    0.0970\t    0.0232\t    0.0031\t    0.8459\t    278.29\n",
      "687\t    0.0970\t    0.0232\t    0.0031\t    0.8468\t    278.67\n",
      "688\t    0.0969\t    0.0233\t    0.0031\t    0.8478\t    279.05\n",
      "689\t    0.0969\t    0.0233\t    0.0031\t    0.8488\t    279.42\n",
      "690\t    0.0969\t    0.0233\t    0.0031\t    0.8497\t    279.80\n",
      "691\t    0.0968\t    0.0234\t    0.0031\t    0.8507\t    280.17\n",
      "692\t    0.0968\t    0.0234\t    0.0031\t    0.8517\t    280.55\n",
      "693\t    0.0968\t    0.0234\t    0.0031\t    0.8526\t    280.92\n",
      "694\t    0.0967\t    0.0235\t    0.0031\t    0.8536\t    281.30\n",
      "695\t    0.0967\t    0.0235\t    0.0031\t    0.8546\t    281.67\n",
      "696\t    0.0967\t    0.0235\t    0.0031\t    0.8555\t    282.04\n",
      "697\t    0.0966\t    0.0235\t    0.0031\t    0.8565\t    282.42\n",
      "698\t    0.0966\t    0.0236\t    0.0031\t    0.8575\t    282.79\n",
      "699\t    0.0965\t    0.0236\t    0.0031\t    0.8584\t    283.16\n",
      "700\t    0.0965\t    0.0236\t    0.0031\t    0.8594\t    283.53\n",
      "701\t    0.0965\t    0.0237\t    0.0031\t    0.8604\t    283.90\n",
      "702\t    0.0964\t    0.0237\t    0.0031\t    0.8613\t    284.27\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "703\t    0.0964\t    0.0237\t    0.0031\t    0.8623\t    284.65\n",
      "704\t    0.0964\t    0.0238\t    0.0031\t    0.8633\t    285.01\n",
      "705\t    0.0963\t    0.0238\t    0.0031\t    0.8642\t    285.38\n",
      "706\t    0.0963\t    0.0238\t    0.0031\t    0.8652\t    285.75\n",
      "707\t    0.0963\t    0.0239\t    0.0030\t    0.8661\t    286.12\n",
      "708\t    0.0962\t    0.0239\t    0.0030\t    0.8671\t    286.49\n",
      "709\t    0.0962\t    0.0239\t    0.0030\t    0.8681\t    286.86\n",
      "710\t    0.0962\t    0.0239\t    0.0030\t    0.8690\t    287.22\n",
      "711\t    0.0961\t    0.0240\t    0.0030\t    0.8700\t    287.59\n",
      "712\t    0.0961\t    0.0240\t    0.0030\t    0.8710\t    287.96\n",
      "713\t    0.0961\t    0.0240\t    0.0030\t    0.8719\t    288.32\n",
      "714\t    0.0960\t    0.0241\t    0.0030\t    0.8729\t    288.69\n",
      "715\t    0.0960\t    0.0241\t    0.0030\t    0.8738\t    289.06\n",
      "716\t    0.0960\t    0.0241\t    0.0030\t    0.8748\t    289.42\n",
      "717\t    0.0959\t    0.0242\t    0.0030\t    0.8758\t    289.78\n",
      "718\t    0.0959\t    0.0242\t    0.0030\t    0.8767\t    290.15\n",
      "719\t    0.0959\t    0.0242\t    0.0030\t    0.8777\t    290.51\n",
      "720\t    0.0958\t    0.0242\t    0.0030\t    0.8786\t    290.88\n",
      "721\t    0.0958\t    0.0243\t    0.0030\t    0.8796\t    291.24\n",
      "722\t    0.0958\t    0.0243\t    0.0030\t    0.8805\t    291.60\n",
      "723\t    0.0957\t    0.0243\t    0.0030\t    0.8815\t    291.96\n",
      "724\t    0.0957\t    0.0244\t    0.0030\t    0.8825\t    292.32\n",
      "725\t    0.0957\t    0.0244\t    0.0030\t    0.8834\t    292.68\n",
      "726\t    0.0957\t    0.0244\t    0.0030\t    0.8844\t    293.05\n",
      "727\t    0.0956\t    0.0245\t    0.0030\t    0.8853\t    293.41\n",
      "728\t    0.0956\t    0.0245\t    0.0030\t    0.8863\t    293.77\n",
      "729\t    0.0956\t    0.0245\t    0.0030\t    0.8872\t    294.13\n",
      "730\t    0.0955\t    0.0245\t    0.0030\t    0.8882\t    294.48\n",
      "731\t    0.0955\t    0.0246\t    0.0030\t    0.8891\t    294.84\n",
      "732\t    0.0955\t    0.0246\t    0.0030\t    0.8901\t    295.20\n",
      "733\t    0.0954\t    0.0246\t    0.0030\t    0.8911\t    295.56\n",
      "734\t    0.0954\t    0.0247\t    0.0030\t    0.8920\t    295.92\n",
      "735\t    0.0954\t    0.0247\t    0.0030\t    0.8930\t    296.27\n",
      "736\t    0.0953\t    0.0247\t    0.0029\t    0.8939\t    296.63\n",
      "737\t    0.0953\t    0.0247\t    0.0029\t    0.8949\t    296.99\n",
      "738\t    0.0953\t    0.0248\t    0.0029\t    0.8958\t    297.34\n",
      "739\t    0.0952\t    0.0248\t    0.0029\t    0.8968\t    297.70\n",
      "740\t    0.0952\t    0.0248\t    0.0029\t    0.8977\t    298.05\n",
      "741\t    0.0952\t    0.0249\t    0.0029\t    0.8987\t    298.41\n",
      "742\t    0.0951\t    0.0249\t    0.0029\t    0.8996\t    298.76\n",
      "743\t    0.0951\t    0.0249\t    0.0029\t    0.9006\t    299.12\n",
      "744\t    0.0951\t    0.0250\t    0.0029\t    0.9015\t    299.47\n",
      "745\t    0.0950\t    0.0250\t    0.0029\t    0.9025\t    299.82\n",
      "746\t    0.0950\t    0.0250\t    0.0029\t    0.9034\t    300.18\n",
      "747\t    0.0950\t    0.0250\t    0.0029\t    0.9044\t    300.53\n",
      "748\t    0.0949\t    0.0251\t    0.0029\t    0.9053\t    300.88\n",
      "749\t    0.0949\t    0.0251\t    0.0029\t    0.9063\t    301.23\n",
      "750\t    0.0949\t    0.0251\t    0.0029\t    0.9072\t    301.58\n",
      "751\t    0.0949\t    0.0252\t    0.0029\t    0.9082\t    301.93\n",
      "752\t    0.0948\t    0.0252\t    0.0029\t    0.9091\t    302.28\n",
      "753\t    0.0948\t    0.0252\t    0.0029\t    0.9101\t    302.63\n",
      "754\t    0.0948\t    0.0252\t    0.0029\t    0.9110\t    302.98\n",
      "755\t    0.0947\t    0.0253\t    0.0029\t    0.9120\t    303.33\n",
      "756\t    0.0947\t    0.0253\t    0.0029\t    0.9129\t    303.68\n",
      "757\t    0.0947\t    0.0253\t    0.0029\t    0.9139\t    304.03\n",
      "758\t    0.0946\t    0.0254\t    0.0029\t    0.9148\t    304.38\n",
      "759\t    0.0946\t    0.0254\t    0.0029\t    0.9157\t    304.72\n",
      "760\t    0.0946\t    0.0254\t    0.0029\t    0.9167\t    305.07\n",
      "761\t    0.0945\t    0.0254\t    0.0029\t    0.9176\t    305.42\n",
      "762\t    0.0945\t    0.0255\t    0.0029\t    0.9186\t    305.77\n",
      "763\t    0.0945\t    0.0255\t    0.0029\t    0.9195\t    306.11\n",
      "764\t    0.0944\t    0.0255\t    0.0029\t    0.9205\t    306.46\n",
      "765\t    0.0944\t    0.0256\t    0.0029\t    0.9214\t    306.80\n",
      "766\t    0.0944\t    0.0256\t    0.0029\t    0.9224\t    307.15\n",
      "767\t    0.0944\t    0.0256\t    0.0028\t    0.9233\t    307.49\n",
      "768\t    0.0943\t    0.0256\t    0.0028\t    0.9242\t    307.84\n",
      "769\t    0.0943\t    0.0257\t    0.0028\t    0.9252\t    308.18\n",
      "770\t    0.0943\t    0.0257\t    0.0028\t    0.9261\t    308.52\n",
      "771\t    0.0942\t    0.0257\t    0.0028\t    0.9271\t    308.87\n",
      "772\t    0.0942\t    0.0258\t    0.0028\t    0.9280\t    309.21\n",
      "773\t    0.0942\t    0.0258\t    0.0028\t    0.9290\t    309.55\n",
      "774\t    0.0941\t    0.0258\t    0.0028\t    0.9299\t    309.89\n",
      "775\t    0.0941\t    0.0258\t    0.0028\t    0.9308\t    310.24\n",
      "776\t    0.0941\t    0.0259\t    0.0028\t    0.9318\t    310.58\n",
      "777\t    0.0941\t    0.0259\t    0.0028\t    0.9327\t    310.92\n",
      "778\t    0.0940\t    0.0259\t    0.0028\t    0.9337\t    311.26\n",
      "779\t    0.0940\t    0.0260\t    0.0028\t    0.9346\t    311.60\n",
      "780\t    0.0940\t    0.0260\t    0.0028\t    0.9355\t    311.94\n",
      "781\t    0.0939\t    0.0260\t    0.0028\t    0.9365\t    312.28\n",
      "782\t    0.0939\t    0.0260\t    0.0028\t    0.9374\t    312.62\n",
      "783\t    0.0939\t    0.0261\t    0.0028\t    0.9383\t    312.95\n",
      "784\t    0.0938\t    0.0261\t    0.0028\t    0.9393\t    313.29\n",
      "785\t    0.0938\t    0.0261\t    0.0028\t    0.9402\t    313.63\n",
      "786\t    0.0938\t    0.0261\t    0.0028\t    0.9412\t    313.97\n",
      "787\t    0.0938\t    0.0262\t    0.0028\t    0.9421\t    314.31\n",
      "788\t    0.0937\t    0.0262\t    0.0028\t    0.9430\t    314.64\n",
      "789\t    0.0937\t    0.0262\t    0.0028\t    0.9440\t    314.98\n",
      "790\t    0.0937\t    0.0263\t    0.0028\t    0.9449\t    315.31\n",
      "791\t    0.0936\t    0.0263\t    0.0028\t    0.9458\t    315.65\n",
      "792\t    0.0936\t    0.0263\t    0.0028\t    0.9468\t    315.99\n",
      "793\t    0.0936\t    0.0263\t    0.0028\t    0.9477\t    316.32\n",
      "794\t    0.0935\t    0.0264\t    0.0028\t    0.9486\t    316.66\n",
      "795\t    0.0935\t    0.0264\t    0.0028\t    0.9496\t    316.99\n",
      "796\t    0.0935\t    0.0264\t    0.0028\t    0.9505\t    317.32\n",
      "797\t    0.0935\t    0.0265\t    0.0028\t    0.9515\t    317.66\n",
      "798\t    0.0934\t    0.0265\t    0.0028\t    0.9524\t    317.99\n",
      "799\t    0.0934\t    0.0265\t    0.0028\t    0.9533\t    318.32\n",
      "800\t    0.0934\t    0.0265\t    0.0027\t    0.9543\t    318.66\n",
      "801\t    0.0933\t    0.0266\t    0.0027\t    0.9552\t    318.99\n",
      "802\t    0.0933\t    0.0266\t    0.0027\t    0.9561\t    319.32\n",
      "803\t    0.0933\t    0.0266\t    0.0027\t    0.9571\t    319.65\n",
      "804\t    0.0933\t    0.0266\t    0.0027\t    0.9580\t    319.98\n",
      "805\t    0.0932\t    0.0267\t    0.0027\t    0.9589\t    320.31\n",
      "806\t    0.0932\t    0.0267\t    0.0027\t    0.9598\t    320.64\n",
      "807\t    0.0932\t    0.0267\t    0.0027\t    0.9608\t    320.97\n",
      "808\t    0.0931\t    0.0268\t    0.0027\t    0.9617\t    321.30\n",
      "809\t    0.0931\t    0.0268\t    0.0027\t    0.9626\t    321.63\n",
      "810\t    0.0931\t    0.0268\t    0.0027\t    0.9636\t    321.96\n",
      "811\t    0.0930\t    0.0268\t    0.0027\t    0.9645\t    322.29\n",
      "812\t    0.0930\t    0.0269\t    0.0027\t    0.9654\t    322.62\n",
      "813\t    0.0930\t    0.0269\t    0.0027\t    0.9664\t    322.94\n",
      "814\t    0.0930\t    0.0269\t    0.0027\t    0.9673\t    323.27\n",
      "815\t    0.0929\t    0.0269\t    0.0027\t    0.9682\t    323.60\n",
      "816\t    0.0929\t    0.0270\t    0.0027\t    0.9691\t    323.93\n",
      "817\t    0.0929\t    0.0270\t    0.0027\t    0.9701\t    324.25\n",
      "818\t    0.0928\t    0.0270\t    0.0027\t    0.9710\t    324.58\n",
      "819\t    0.0928\t    0.0271\t    0.0027\t    0.9719\t    324.90\n",
      "820\t    0.0928\t    0.0271\t    0.0027\t    0.9729\t    325.23\n",
      "821\t    0.0928\t    0.0271\t    0.0027\t    0.9738\t    325.56\n",
      "822\t    0.0927\t    0.0271\t    0.0027\t    0.9747\t    325.88\n",
      "823\t    0.0927\t    0.0272\t    0.0027\t    0.9756\t    326.20\n",
      "824\t    0.0927\t    0.0272\t    0.0027\t    0.9766\t    326.53\n",
      "825\t    0.0926\t    0.0272\t    0.0027\t    0.9775\t    326.85\n",
      "826\t    0.0926\t    0.0272\t    0.0027\t    0.9784\t    327.18\n",
      "827\t    0.0926\t    0.0273\t    0.0027\t    0.9793\t    327.50\n",
      "828\t    0.0926\t    0.0273\t    0.0027\t    0.9803\t    327.82\n",
      "829\t    0.0925\t    0.0273\t    0.0027\t    0.9812\t    328.14\n",
      "830\t    0.0925\t    0.0273\t    0.0027\t    0.9821\t    328.47\n",
      "831\t    0.0925\t    0.0274\t    0.0027\t    0.9830\t    328.79\n",
      "832\t    0.0925\t    0.0274\t    0.0027\t    0.9840\t    329.11\n",
      "833\t    0.0924\t    0.0274\t    0.0027\t    0.9849\t    329.43\n",
      "834\t    0.0924\t    0.0275\t    0.0026\t    0.9858\t    329.75\n",
      "835\t    0.0924\t    0.0275\t    0.0026\t    0.9867\t    330.07\n",
      "836\t    0.0923\t    0.0275\t    0.0026\t    0.9877\t    330.39\n",
      "837\t    0.0923\t    0.0275\t    0.0026\t    0.9886\t    330.71\n",
      "838\t    0.0923\t    0.0276\t    0.0026\t    0.9895\t    331.03\n",
      "839\t    0.0923\t    0.0276\t    0.0026\t    0.9904\t    331.35\n",
      "840\t    0.0922\t    0.0276\t    0.0026\t    0.9914\t    331.67\n",
      "841\t    0.0922\t    0.0276\t    0.0026\t    0.9923\t    331.98\n",
      "842\t    0.0922\t    0.0277\t    0.0026\t    0.9932\t    332.30\n",
      "843\t    0.0921\t    0.0277\t    0.0026\t    0.9941\t    332.62\n",
      "844\t    0.0921\t    0.0277\t    0.0026\t    0.9950\t    332.94\n",
      "845\t    0.0921\t    0.0277\t    0.0026\t    0.9960\t    333.25\n",
      "846\t    0.0921\t    0.0278\t    0.0026\t    0.9969\t    333.57\n",
      "847\t    0.0920\t    0.0278\t    0.0026\t    0.9978\t    333.89\n",
      "848\t    0.0920\t    0.0278\t    0.0026\t    0.9987\t    334.20\n",
      "849\t    0.0920\t    0.0278\t    0.0026\t    0.9996\t    334.52\n",
      "850\t    0.0920\t    0.0279\t    0.0026\t    1.0006\t    334.83\n",
      "851\t    0.0919\t    0.0279\t    0.0026\t    1.0015\t    335.15\n",
      "852\t    0.0919\t    0.0279\t    0.0026\t    1.0024\t    335.46\n",
      "853\t    0.0919\t    0.0279\t    0.0026\t    1.0033\t    335.78\n",
      "854\t    0.0918\t    0.0280\t    0.0026\t    1.0042\t    336.09\n",
      "855\t    0.0918\t    0.0280\t    0.0026\t    1.0051\t    336.41\n",
      "856\t    0.0918\t    0.0280\t    0.0026\t    1.0061\t    336.72\n",
      "857\t    0.0918\t    0.0281\t    0.0026\t    1.0070\t    337.03\n",
      "858\t    0.0917\t    0.0281\t    0.0026\t    1.0079\t    337.34\n",
      "859\t    0.0917\t    0.0281\t    0.0026\t    1.0088\t    337.66\n",
      "860\t    0.0917\t    0.0281\t    0.0026\t    1.0097\t    337.97\n",
      "861\t    0.0917\t    0.0282\t    0.0026\t    1.0106\t    338.28\n",
      "862\t    0.0916\t    0.0282\t    0.0026\t    1.0116\t    338.59\n",
      "863\t    0.0916\t    0.0282\t    0.0026\t    1.0125\t    338.90\n",
      "864\t    0.0916\t    0.0282\t    0.0026\t    1.0134\t    339.21\n",
      "865\t    0.0915\t    0.0283\t    0.0026\t    1.0143\t    339.52\n",
      "866\t    0.0915\t    0.0283\t    0.0026\t    1.0152\t    339.83\n",
      "867\t    0.0915\t    0.0283\t    0.0026\t    1.0161\t    340.14\n",
      "868\t    0.0915\t    0.0283\t    0.0026\t    1.0171\t    340.45\n",
      "869\t    0.0914\t    0.0284\t    0.0026\t    1.0180\t    340.76\n",
      "870\t    0.0914\t    0.0284\t    0.0026\t    1.0189\t    341.07\n",
      "871\t    0.0914\t    0.0284\t    0.0025\t    1.0198\t    341.38\n",
      "872\t    0.0914\t    0.0284\t    0.0025\t    1.0207\t    341.69\n",
      "873\t    0.0913\t    0.0285\t    0.0025\t    1.0216\t    342.00\n",
      "874\t    0.0913\t    0.0285\t    0.0025\t    1.0225\t    342.30\n",
      "875\t    0.0913\t    0.0285\t    0.0025\t    1.0234\t    342.61\n",
      "876\t    0.0913\t    0.0285\t    0.0025\t    1.0244\t    342.92\n",
      "877\t    0.0912\t    0.0286\t    0.0025\t    1.0253\t    343.22\n",
      "878\t    0.0912\t    0.0286\t    0.0025\t    1.0262\t    343.53\n",
      "879\t    0.0912\t    0.0286\t    0.0025\t    1.0271\t    343.84\n",
      "880\t    0.0911\t    0.0286\t    0.0025\t    1.0280\t    344.14\n",
      "881\t    0.0911\t    0.0287\t    0.0025\t    1.0289\t    344.45\n",
      "882\t    0.0911\t    0.0287\t    0.0025\t    1.0298\t    344.75\n",
      "883\t    0.0911\t    0.0287\t    0.0025\t    1.0307\t    345.06\n",
      "884\t    0.0910\t    0.0287\t    0.0025\t    1.0316\t    345.36\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "885\t    0.0910\t    0.0288\t    0.0025\t    1.0326\t    345.67\n",
      "886\t    0.0910\t    0.0288\t    0.0025\t    1.0335\t    345.97\n",
      "887\t    0.0910\t    0.0288\t    0.0025\t    1.0344\t    346.27\n",
      "888\t    0.0909\t    0.0288\t    0.0025\t    1.0353\t    346.58\n",
      "889\t    0.0909\t    0.0289\t    0.0025\t    1.0362\t    346.88\n",
      "890\t    0.0909\t    0.0289\t    0.0025\t    1.0371\t    347.18\n",
      "891\t    0.0909\t    0.0289\t    0.0025\t    1.0380\t    347.48\n",
      "892\t    0.0908\t    0.0289\t    0.0025\t    1.0389\t    347.79\n",
      "893\t    0.0908\t    0.0290\t    0.0025\t    1.0398\t    348.09\n",
      "894\t    0.0908\t    0.0290\t    0.0025\t    1.0407\t    348.39\n",
      "895\t    0.0908\t    0.0290\t    0.0025\t    1.0416\t    348.69\n",
      "896\t    0.0907\t    0.0290\t    0.0025\t    1.0425\t    348.99\n",
      "897\t    0.0907\t    0.0291\t    0.0025\t    1.0435\t    349.29\n",
      "898\t    0.0907\t    0.0291\t    0.0025\t    1.0444\t    349.59\n",
      "899\t    0.0906\t    0.0291\t    0.0025\t    1.0453\t    349.89\n",
      "900\t    0.0906\t    0.0291\t    0.0025\t    1.0462\t    350.19\n",
      "901\t    0.0906\t    0.0292\t    0.0025\t    1.0471\t    350.49\n",
      "902\t    0.0906\t    0.0292\t    0.0025\t    1.0480\t    350.79\n",
      "903\t    0.0905\t    0.0292\t    0.0025\t    1.0489\t    351.09\n",
      "904\t    0.0905\t    0.0292\t    0.0025\t    1.0498\t    351.39\n",
      "905\t    0.0905\t    0.0293\t    0.0025\t    1.0507\t    351.68\n",
      "906\t    0.0905\t    0.0293\t    0.0025\t    1.0516\t    351.98\n",
      "907\t    0.0904\t    0.0293\t    0.0025\t    1.0525\t    352.28\n",
      "908\t    0.0904\t    0.0293\t    0.0025\t    1.0534\t    352.58\n",
      "909\t    0.0904\t    0.0294\t    0.0025\t    1.0543\t    352.87\n",
      "910\t    0.0904\t    0.0294\t    0.0024\t    1.0552\t    353.17\n",
      "911\t    0.0903\t    0.0294\t    0.0024\t    1.0561\t    353.47\n",
      "912\t    0.0903\t    0.0294\t    0.0024\t    1.0570\t    353.76\n",
      "913\t    0.0903\t    0.0295\t    0.0024\t    1.0579\t    354.06\n",
      "914\t    0.0903\t    0.0295\t    0.0024\t    1.0588\t    354.35\n",
      "915\t    0.0902\t    0.0295\t    0.0024\t    1.0597\t    354.65\n",
      "916\t    0.0902\t    0.0295\t    0.0024\t    1.0606\t    354.94\n",
      "917\t    0.0902\t    0.0296\t    0.0024\t    1.0615\t    355.24\n",
      "918\t    0.0902\t    0.0296\t    0.0024\t    1.0624\t    355.53\n",
      "919\t    0.0901\t    0.0296\t    0.0024\t    1.0633\t    355.83\n",
      "920\t    0.0901\t    0.0296\t    0.0024\t    1.0642\t    356.12\n",
      "921\t    0.0901\t    0.0297\t    0.0024\t    1.0651\t    356.41\n",
      "922\t    0.0901\t    0.0297\t    0.0024\t    1.0660\t    356.71\n",
      "923\t    0.0900\t    0.0297\t    0.0024\t    1.0669\t    357.00\n",
      "924\t    0.0900\t    0.0297\t    0.0024\t    1.0678\t    357.29\n",
      "925\t    0.0900\t    0.0297\t    0.0024\t    1.0687\t    357.58\n",
      "926\t    0.0900\t    0.0298\t    0.0024\t    1.0696\t    357.87\n",
      "927\t    0.0899\t    0.0298\t    0.0024\t    1.0705\t    358.17\n",
      "928\t    0.0899\t    0.0298\t    0.0024\t    1.0714\t    358.46\n",
      "929\t    0.0899\t    0.0298\t    0.0024\t    1.0723\t    358.75\n",
      "930\t    0.0899\t    0.0299\t    0.0024\t    1.0732\t    359.04\n",
      "931\t    0.0898\t    0.0299\t    0.0024\t    1.0741\t    359.33\n",
      "932\t    0.0898\t    0.0299\t    0.0024\t    1.0750\t    359.62\n",
      "933\t    0.0898\t    0.0299\t    0.0024\t    1.0759\t    359.91\n",
      "934\t    0.0898\t    0.0300\t    0.0024\t    1.0768\t    360.20\n",
      "935\t    0.0897\t    0.0300\t    0.0024\t    1.0777\t    360.49\n",
      "936\t    0.0897\t    0.0300\t    0.0024\t    1.0786\t    360.78\n",
      "937\t    0.0897\t    0.0300\t    0.0024\t    1.0795\t    361.07\n",
      "938\t    0.0897\t    0.0301\t    0.0024\t    1.0804\t    361.35\n",
      "939\t    0.0896\t    0.0301\t    0.0024\t    1.0813\t    361.64\n",
      "940\t    0.0896\t    0.0301\t    0.0024\t    1.0822\t    361.93\n",
      "941\t    0.0896\t    0.0301\t    0.0024\t    1.0831\t    362.22\n",
      "942\t    0.0896\t    0.0302\t    0.0024\t    1.0840\t    362.51\n",
      "943\t    0.0895\t    0.0302\t    0.0024\t    1.0849\t    362.79\n",
      "944\t    0.0895\t    0.0302\t    0.0024\t    1.0858\t    363.08\n",
      "945\t    0.0895\t    0.0302\t    0.0024\t    1.0867\t    363.37\n",
      "946\t    0.0895\t    0.0302\t    0.0024\t    1.0876\t    363.65\n",
      "947\t    0.0894\t    0.0303\t    0.0024\t    1.0885\t    363.94\n",
      "948\t    0.0894\t    0.0303\t    0.0024\t    1.0894\t    364.22\n",
      "949\t    0.0894\t    0.0303\t    0.0024\t    1.0902\t    364.51\n",
      "950\t    0.0894\t    0.0303\t    0.0024\t    1.0911\t    364.79\n",
      "951\t    0.0893\t    0.0304\t    0.0024\t    1.0920\t    365.08\n",
      "952\t    0.0893\t    0.0304\t    0.0023\t    1.0929\t    365.36\n",
      "953\t    0.0893\t    0.0304\t    0.0023\t    1.0938\t    365.65\n",
      "954\t    0.0893\t    0.0304\t    0.0023\t    1.0947\t    365.93\n",
      "955\t    0.0893\t    0.0305\t    0.0023\t    1.0956\t    366.22\n",
      "956\t    0.0892\t    0.0305\t    0.0023\t    1.0965\t    366.50\n",
      "957\t    0.0892\t    0.0305\t    0.0023\t    1.0974\t    366.78\n",
      "958\t    0.0892\t    0.0305\t    0.0023\t    1.0983\t    367.07\n",
      "959\t    0.0892\t    0.0306\t    0.0023\t    1.0992\t    367.35\n",
      "960\t    0.0891\t    0.0306\t    0.0023\t    1.1001\t    367.63\n",
      "961\t    0.0891\t    0.0306\t    0.0023\t    1.1010\t    367.91\n",
      "962\t    0.0891\t    0.0306\t    0.0023\t    1.1018\t    368.19\n",
      "963\t    0.0891\t    0.0306\t    0.0023\t    1.1027\t    368.48\n",
      "964\t    0.0890\t    0.0307\t    0.0023\t    1.1036\t    368.76\n",
      "965\t    0.0890\t    0.0307\t    0.0023\t    1.1045\t    369.04\n",
      "966\t    0.0890\t    0.0307\t    0.0023\t    1.1054\t    369.32\n",
      "967\t    0.0890\t    0.0307\t    0.0023\t    1.1063\t    369.60\n",
      "968\t    0.0889\t    0.0308\t    0.0023\t    1.1072\t    369.88\n",
      "969\t    0.0889\t    0.0308\t    0.0023\t    1.1081\t    370.16\n",
      "970\t    0.0889\t    0.0308\t    0.0023\t    1.1090\t    370.44\n",
      "971\t    0.0889\t    0.0308\t    0.0023\t    1.1098\t    370.72\n",
      "972\t    0.0888\t    0.0309\t    0.0023\t    1.1107\t    371.00\n",
      "973\t    0.0888\t    0.0309\t    0.0023\t    1.1116\t    371.28\n",
      "974\t    0.0888\t    0.0309\t    0.0023\t    1.1125\t    371.56\n",
      "975\t    0.0888\t    0.0309\t    0.0023\t    1.1134\t    371.83\n",
      "976\t    0.0888\t    0.0309\t    0.0023\t    1.1143\t    372.11\n",
      "977\t    0.0887\t    0.0310\t    0.0023\t    1.1152\t    372.39\n",
      "978\t    0.0887\t    0.0310\t    0.0023\t    1.1161\t    372.67\n",
      "979\t    0.0887\t    0.0310\t    0.0023\t    1.1169\t    372.94\n",
      "980\t    0.0887\t    0.0310\t    0.0023\t    1.1178\t    373.22\n",
      "981\t    0.0886\t    0.0311\t    0.0023\t    1.1187\t    373.50\n",
      "982\t    0.0886\t    0.0311\t    0.0023\t    1.1196\t    373.77\n",
      "983\t    0.0886\t    0.0311\t    0.0023\t    1.1205\t    374.05\n",
      "984\t    0.0886\t    0.0311\t    0.0023\t    1.1214\t    374.33\n",
      "985\t    0.0885\t    0.0312\t    0.0023\t    1.1223\t    374.60\n",
      "986\t    0.0885\t    0.0312\t    0.0023\t    1.1231\t    374.88\n",
      "987\t    0.0885\t    0.0312\t    0.0023\t    1.1240\t    375.15\n",
      "988\t    0.0885\t    0.0312\t    0.0023\t    1.1249\t    375.43\n",
      "989\t    0.0884\t    0.0312\t    0.0023\t    1.1258\t    375.70\n",
      "990\t    0.0884\t    0.0313\t    0.0023\t    1.1267\t    375.98\n",
      "991\t    0.0884\t    0.0313\t    0.0023\t    1.1276\t    376.25\n",
      "992\t    0.0884\t    0.0313\t    0.0023\t    1.1284\t    376.53\n",
      "993\t    0.0884\t    0.0313\t    0.0023\t    1.1293\t    376.80\n",
      "994\t    0.0883\t    0.0314\t    0.0023\t    1.1302\t    377.07\n",
      "995\t    0.0883\t    0.0314\t    0.0023\t    1.1311\t    377.35\n",
      "996\t    0.0883\t    0.0314\t    0.0023\t    1.1320\t    377.62\n",
      "997\t    0.0883\t    0.0314\t    0.0023\t    1.1329\t    377.89\n",
      "998\t    0.0882\t    0.0314\t    0.0022\t    1.1337\t    378.16\n",
      "999\t    0.0882\t    0.0315\t    0.0022\t    1.1346\t    378.44\n",
      "Accuracy: 0.4125\n"
     ]
    }
   ],
   "source": [
    "# Apply logreg function to get the weights of the model\n",
    "# use mu comes from grid search with cross validation\n",
    "# Use the encoding coefficients as features for samples\n",
    "\n",
    "mu = 1.0  # Regularization parameter\n",
    "rho = 1.0  # Augmented Lagrangian parameter\n",
    "alpha = 1.0  # Over-relaxation parameter\n",
    "\n",
    "# Determine the number of classes\n",
    "num_classes = np.unique(y_train).shape[0]\n",
    "\n",
    "# Train multiple logistic regression models (one-vs-all)\n",
    "models = []\n",
    "for i in range(num_classes):\n",
    "    # Create a multi label vector for the current class\n",
    "    y_train_multi = np.where(y_train == i, 1, 0)\n",
    "    \n",
    "    # the logistic regression model using logreg function\n",
    "    weights = logreg(X_train_nmf, y_train_multi, mu, rho, alpha)\n",
    "    \n",
    "    # Save the trained model\n",
    "    models.append(weights)\n",
    "\n",
    "# Make predictions on the testing samples\n",
    "y_pred_probabilities = np.zeros((X_test_nmf.shape[0], num_classes))\n",
    "for i in range(num_classes):\n",
    "    weights = models[i]\n",
    "    y_pred_probabilities[:, i] = 1 / (1 + np.exp(-(X_test_nmf @ weights[1:] + weights[0])))\n",
    "\n",
    "# Assign the class label with the highest probability as the predicted class\n",
    "y_pred = np.argmax(y_pred_probabilities, axis=1)\n",
    "\n",
    "# Calculate accuracy\n",
    "accuracy = (y_pred == y_test).mean()\n",
    "print(\"Accuracy:\", accuracy)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "3f6f742b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Confusion Matrix:\n",
      "[[33  0  0  0  0]\n",
      " [ 6  0  0  0  0]\n",
      " [25  0  0  0  0]\n",
      " [10  0  0  0  0]\n",
      " [ 6  0  0  0  0]]\n",
      "Classification Report:\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "           0       0.41      1.00      0.58        33\n",
      "           1       0.00      0.00      0.00         6\n",
      "           2       0.00      0.00      0.00        25\n",
      "           3       0.00      0.00      0.00        10\n",
      "           4       0.00      0.00      0.00         6\n",
      "\n",
      "    accuracy                           0.41        80\n",
      "   macro avg       0.08      0.20      0.12        80\n",
      "weighted avg       0.17      0.41      0.24        80\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/bernayilmaz/opt/anaconda3/lib/python3.9/site-packages/sklearn/metrics/_classification.py:1318: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/Users/bernayilmaz/opt/anaconda3/lib/python3.9/site-packages/sklearn/metrics/_classification.py:1318: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/Users/bernayilmaz/opt/anaconda3/lib/python3.9/site-packages/sklearn/metrics/_classification.py:1318: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n"
     ]
    }
   ],
   "source": [
    "# Calculate the confusion matrix\n",
    "cm = confusion_matrix(y_test, y_pred)\n",
    "print(\"Confusion Matrix:\")\n",
    "print(cm)\n",
    "\n",
    "# Calculate classification report with accuracy, class accuracies, sensitivity, specificity, and recall values\n",
    "report = classification_report(y_test, y_pred)\n",
    "print(\"Classification Report:\")\n",
    "print(report)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79a1b33a",
   "metadata": {},
   "source": [
    "#### Similarities and Differences between PCA and MNF"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "306bed77",
   "metadata": {},
   "source": [
    "Like PCA, it reduces the dimensionality of high-dimensional data to facilitate its analysis. However, the main distinction lies in their approaches: PCA aims to find a subspace that maximizes variance for the identified features, whereas NMF focuses on discovering non-negative features that can be combined additively.\n",
    "\n",
    "\n",
    "NMF factorizes a non-negative data matrix into two low-rank non-negative matrices, which allows for the discovery of relationships and patterns in the data.\n",
    "PCA does not take into account the specific structure or non-negativity constraints of the data."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f2d9124",
   "metadata": {},
   "source": [
    "#### Compare Results"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "932b130f",
   "metadata": {},
   "source": [
    "Despite their differences in the underlying mathematical techniques and assumptions, both PCA and NMF were successful in representing the data in a lower-dimensional space while preserving the discriminative information.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c715cd6d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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