deepsat_6_vgg_16.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "deepsat_6_vgg_16.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "machine_shape": "hm",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "TPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/ee17b031-iittp/DeepSAT-6-Satellite-Image-Classification/blob/master/deepsat_6_vgg_16.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sZIhzlo85kmb",
        "colab_type": "text"
      },
      "source": [
        "# $ Importing \\, Dependencies $ #"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "muAEdPiyBUmJ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 84
        },
        "outputId": "0a66b2e0-f535-4969-8cec-db47e6de3462"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import cv2\n",
        "import math\n",
        "import xlrd\n",
        "import pandas as pd\n",
        "import scipy as sp\n",
        "import io\n",
        "from math import sqrt\n",
        "from math import pi\n",
        "from math import exp\n",
        "from google.colab.patches import cv2_imshow\n",
        "from sklearn.manifold import TSNE\n",
        "import os\n",
        "import glob\n",
        "from sklearn.model_selection import StratifiedKFold\n",
        "import scipy.io as sio\n",
        "import plotly.graph_objects as go\n",
        "from PIL import Image\n",
        "# Scikit Imports\n",
        "from sklearn import preprocessing\n",
        "from sklearn.metrics import roc_curve, auc, precision_recall_curve,f1_score,confusion_matrix,classification_report\n",
        "from sklearn.model_selection import train_test_split\n",
        "from skimage.transform import resize\n",
        "from skimage import data\n",
        "import seaborn as sns; sns.set()\n",
        "from sklearn.metrics import log_loss, roc_auc_score, accuracy_score\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning:\n",
            "\n",
            "pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pBPR2T-tHLPf",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "ee388d5e-17f3-44a9-99e4-9442e7a36976"
      },
      "source": [
        "import keras\n",
        "from keras.models import Sequential\n",
        "from keras.layers import Dense\n",
        "from keras.layers import Conv2D\n",
        "from keras.layers import MaxPooling2D\n",
        "from keras.layers import AveragePooling2D\n",
        "from keras.layers import Flatten\n",
        "from keras.utils.np_utils import to_categorical\n",
        "from keras.optimizers import Adam\n",
        "from keras.engine import Model\n",
        "from keras import callbacks\n",
        "from keras import optimizers\n",
        "from keras.applications import vgg16 as vgg\n",
        "from keras.layers import Dropout, Flatten, Dense, GlobalAveragePooling2D,BatchNormalization,Activation\n",
        "from keras.preprocessing.image import ImageDataGenerator\n",
        "from keras.utils import np_utils\n",
        "from keras.losses import binary_crossentropy\n",
        "from keras.metrics import binary_accuracy\n",
        "from keras import backend as K\n",
        "from keras.callbacks import *\n",
        "import tensorflow as tf"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Using TensorFlow backend.\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "t3p8eOSj5qA7",
        "colab_type": "text"
      },
      "source": [
        "#$ Loading \\, Dataset$#"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EFhjLA22EUlW",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 121
        },
        "outputId": "90485f13-ad78-408e-bf59-477c2ae72f5f"
      },
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/gdrive')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Go to this URL in a browser: https://accounts.google.com/o/oauth2/auth?client_id=947318989803-6bn6qk8qdgf4n4g3pfee6491hc0brc4i.apps.googleusercontent.com&redirect_uri=urn%3aietf%3awg%3aoauth%3a2.0%3aoob&response_type=code&scope=email%20https%3a%2f%2fwww.googleapis.com%2fauth%2fdocs.test%20https%3a%2f%2fwww.googleapis.com%2fauth%2fdrive%20https%3a%2f%2fwww.googleapis.com%2fauth%2fdrive.photos.readonly%20https%3a%2f%2fwww.googleapis.com%2fauth%2fpeopleapi.readonly\n",
            "\n",
            "Enter your authorization code:\n",
            "··········\n",
            "Mounted at /content/gdrive\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7Y0LxiUdHI8Z",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "file_path='/content/gdrive/My Drive/deepsat-sat6/'"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Va6a79SDIkCa",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "#importing_datasets\n",
        "x_train = pd.read_csv(file_path+'X_train_sat6.csv',header=None) #This will kill the available memory on the kaggle machine :\\\n",
        "y_train = pd.read_csv(file_path+'y_train_sat6.csv',header=None)\n",
        "x_train = x_train.values.reshape(x_train.shape[0],28,28,4).astype(np.float32)\n",
        "y_train = y_train.values.astype(np.float32)\n",
        "\n",
        "x_test = pd.read_csv(file_path+'X_test_sat6.csv',header=None)\n",
        "y_test = pd.read_csv(file_path+'y_test_sat6.csv',header=None)\n",
        "x_test = x_test.values.reshape(x_test.shape[0],28,28,4).astype(np.float32)\n",
        "y_test = y_test.values.astype(np.float32)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gQF6yCWu5sGd",
        "colab_type": "text"
      },
      "source": [
        "# $Train-Val \\, Split $"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3qiZYSMXIvP4",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "x_train, x_val, y_train, y_val = train_test_split(x_train, \n",
        "                                                  y_train, \n",
        "                                                  test_size=0.15, \n",
        "                                                  stratify=np.array(y_train), \n",
        "                                                  random_state=42)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_f3rpJZQ6O8t",
        "colab_type": "text"
      },
      "source": [
        "#$ Data \\, Preprocessing$#"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kuZpzZi2JWvx",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "dim=(32,32)\n",
        "x_train =np.array([cv2.resize(x, dim, interpolation = cv2.INTER_AREA) for x in x_train])\n",
        "x_val = np.array([cv2.resize(x, dim, interpolation = cv2.INTER_AREA) for x in x_val])\n",
        "x_test = np.array([cv2.resize(x, dim, interpolation = cv2.INTER_AREA) for x in x_test])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VCTaonjsZIuQ",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "#not using the fourth channel-NIR\n",
        "x_train=x_train[:,:,:,0:3]\n",
        "x_val=x_val[:,:,:,0:3]\n",
        "x_test=x_test[:,:,:,0:3]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TACcRzsmExYe",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "means=np.mean(x_train,axis=0)\n",
        "x_train=(x_train-means)/255\n",
        "x_test=(x_test-means)/255\n",
        "x_val=(x_val-means)/255"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OVeZryaL6Srf",
        "colab_type": "text"
      },
      "source": [
        "#$Cyclic \\, Learning \\, Rate$#"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lrKzr3ZlucWK",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "class CyclicLR(Callback):\n",
        "    \"\"\"This callback implements a cyclical learning rate policy (CLR).\n",
        "    The method cycles the learning rate between two boundaries with\n",
        "    some constant frequency, as detailed in this paper (https://arxiv.org/abs/1506.01186).\n",
        "    The amplitude of the cycle can be scaled on a per-iteration or \n",
        "    per-cycle basis.\n",
        "    This class has three built-in policies, as put forth in the paper.\n",
        "    \"triangular\":\n",
        "        A basic triangular cycle w/ no amplitude scaling.\n",
        "    \"triangular2\":\n",
        "        A basic triangular cycle that scales initial amplitude by half each cycle.\n",
        "    \"exp_range\":\n",
        "        A cycle that scales initial amplitude by gamma**(cycle iterations) at each \n",
        "        cycle iteration.\n",
        "    For more detail, please see paper.\n",
        "    \n",
        "    # Example\n",
        "        ```python\n",
        "            clr = CyclicLR(base_lr=0.001, max_lr=0.006,\n",
        "                                step_size=2000., mode='triangular')\n",
        "            model.fit(X_train, Y_train, callbacks=[clr])\n",
        "        ```\n",
        "    \n",
        "    Class also supports custom scaling functions:\n",
        "        ```python\n",
        "            clr_fn = lambda x: 0.5*(1+np.sin(x*np.pi/2.))\n",
        "            clr = CyclicLR(base_lr=0.001, max_lr=0.006,\n",
        "                                step_size=2000., scale_fn=clr_fn,\n",
        "                                scale_mode='cycle')\n",
        "            model.fit(X_train, Y_train, callbacks=[clr])\n",
        "        ```    \n",
        "    # Arguments\n",
        "        base_lr: initial learning rate which is the\n",
        "            lower boundary in the cycle.\n",
        "        max_lr: upper boundary in the cycle. Functionally,\n",
        "            it defines the cycle amplitude (max_lr - base_lr).\n",
        "            The lr at any cycle is the sum of base_lr\n",
        "            and some scaling of the amplitude; therefore \n",
        "            max_lr may not actually be reached depending on\n",
        "            scaling function.\n",
        "        step_size: number of training iterations per\n",
        "            half cycle. Authors suggest setting step_size\n",
        "            2-8 x training iterations in epoch.\n",
        "        mode: one of {triangular, triangular2, exp_range}.\n",
        "            Default 'triangular'.\n",
        "            Values correspond to policies detailed above.\n",
        "            If scale_fn is not None, this argument is ignored.\n",
        "        gamma: constant in 'exp_range' scaling function:\n",
        "            gamma**(cycle iterations)\n",
        "        scale_fn: Custom scaling policy defined by a single\n",
        "            argument lambda function, where \n",
        "            0 <= scale_fn(x) <= 1 for all x >= 0.\n",
        "            mode paramater is ignored \n",
        "        scale_mode: {'cycle', 'iterations'}.\n",
        "            Defines whether scale_fn is evaluated on \n",
        "            cycle number or cycle iterations (training\n",
        "            iterations since start of cycle). Default is 'cycle'.\n",
        "    \"\"\"\n",
        "\n",
        "    def __init__(self, base_lr=0.001, max_lr=0.006, step_size=2000., mode='triangular',\n",
        "                 gamma=1., scale_fn=None, scale_mode='cycle'):\n",
        "        super(CyclicLR, self).__init__()\n",
        "\n",
        "        self.base_lr = base_lr\n",
        "        self.max_lr = max_lr\n",
        "        self.step_size = step_size\n",
        "        self.mode = mode\n",
        "        self.gamma = gamma\n",
        "        if scale_fn == None:\n",
        "            if self.mode == 'triangular':\n",
        "                self.scale_fn = lambda x: 1.\n",
        "                self.scale_mode = 'cycle'\n",
        "            elif self.mode == 'triangular2':\n",
        "                self.scale_fn = lambda x: 1/(2.**(x-1))\n",
        "                self.scale_mode = 'cycle'\n",
        "            elif self.mode == 'exp_range':\n",
        "                self.scale_fn = lambda x: gamma**(x)\n",
        "                self.scale_mode = 'iterations'\n",
        "        else:\n",
        "            self.scale_fn = scale_fn\n",
        "            self.scale_mode = scale_mode\n",
        "        self.clr_iterations = 0.\n",
        "        self.trn_iterations = 0.\n",
        "        self.history = {}\n",
        "\n",
        "        self._reset()\n",
        "\n",
        "    def _reset(self, new_base_lr=None, new_max_lr=None,\n",
        "               new_step_size=None):\n",
        "        \"\"\"Resets cycle iterations.\n",
        "        Optional boundary/step size adjustment.\n",
        "        \"\"\"\n",
        "        if new_base_lr != None:\n",
        "            self.base_lr = new_base_lr\n",
        "        if new_max_lr != None:\n",
        "            self.max_lr = new_max_lr\n",
        "        if new_step_size != None:\n",
        "            self.step_size = new_step_size\n",
        "        self.clr_iterations = 0.\n",
        "        \n",
        "    def clr(self):\n",
        "        cycle = np.floor(1+self.clr_iterations/(2*self.step_size))\n",
        "        x = np.abs(self.clr_iterations/self.step_size - 2*cycle + 1)\n",
        "        if self.scale_mode == 'cycle':\n",
        "            return self.base_lr + (self.max_lr-self.base_lr)*np.maximum(0, (1-x))*self.scale_fn(cycle)\n",
        "        else:\n",
        "            return self.base_lr + (self.max_lr-self.base_lr)*np.maximum(0, (1-x))*self.scale_fn(self.clr_iterations)\n",
        "        \n",
        "    def on_train_begin(self, logs={}):\n",
        "        logs = logs or {}\n",
        "\n",
        "        if self.clr_iterations == 0:\n",
        "            K.set_value(self.model.optimizer.lr, self.base_lr)\n",
        "        else:\n",
        "            K.set_value(self.model.optimizer.lr, self.clr())        \n",
        "            \n",
        "    def on_batch_end(self, epoch, logs=None):\n",
        "        \n",
        "        logs = logs or {}\n",
        "        self.trn_iterations += 1\n",
        "        self.clr_iterations += 1\n",
        "\n",
        "        self.history.setdefault('lr', []).append(K.get_value(self.model.optimizer.lr))\n",
        "        self.history.setdefault('iterations', []).append(self.trn_iterations)\n",
        "\n",
        "        for k, v in logs.items():\n",
        "            self.history.setdefault(k, []).append(v)\n",
        "        \n",
        "        K.set_value(self.model.optimizer.lr, self.clr())"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9KzkK-YK7xcC",
        "colab_type": "text"
      },
      "source": [
        "#$ One\\, Cycle \\, Policy$#"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FPKDNynxu6Ut",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Implement One Cycle Policy Algorithm in the Keras Callback Class\n",
        "class Onecycle(keras.callbacks.Callback):\n",
        "    \n",
        "    def __init__(self,base_lr, max_lr, step_size, base_m, max_m, cyclical_momentum):\n",
        " \n",
        "        self.base_lr = base_lr\n",
        "        self.max_lr = max_lr\n",
        "        self.base_m = base_m\n",
        "        self.max_m = max_m\n",
        "        self.cyclical_momentum = cyclical_momentum\n",
        "        self.step_size = step_size\n",
        "        \n",
        "        self.clr_iterations = 0.\n",
        "        self.cm_iterations = 0.\n",
        "        self.trn_iterations = 0.\n",
        "        self.history = {}\n",
        "        \n",
        "    def clr(self):\n",
        "        \n",
        "        cycle = np.floor(1+self.clr_iterations/(2*self.step_size))\n",
        "        \n",
        "        if cycle == 2:\n",
        "            x = np.abs(self.clr_iterations/self.step_size - 2*cycle + 1)          \n",
        "            return self.base_lr-(self.base_lr-self.base_lr/100)*np.maximum(0,(1-x))\n",
        "        \n",
        "        else:\n",
        "            x = np.abs(self.clr_iterations/self.step_size - 2*cycle + 1)\n",
        "            return self.base_lr + (self.max_lr-self.base_lr)*np.maximum(0,(1-x))\n",
        "    \n",
        "    def cm(self):\n",
        "        \n",
        "        cycle = np.floor(1+self.clr_iterations/(2*self.step_size))\n",
        "        \n",
        "        if cycle == 2:\n",
        "            \n",
        "            x = np.abs(self.clr_iterations/self.step_size - 2*cycle + 1) \n",
        "            return self.max_m\n",
        "        \n",
        "        else:\n",
        "            x = np.abs(self.clr_iterations/self.step_size - 2*cycle + 1)\n",
        "            return self.max_m - (self.max_m-self.base_m)*np.maximum(0,(1-x))\n",
        "        \n",
        "        \n",
        "    def on_train_begin(self, logs={}):\n",
        "        logs = logs or {}\n",
        "\n",
        "        if self.clr_iterations == 0:\n",
        "            K.set_value(self.model.optimizer.lr, self.base_lr)\n",
        "        else:\n",
        "            K.set_value(self.model.optimizer.lr, self.clr())\n",
        "            \n",
        "        if self.cyclical_momentum == True:\n",
        "            if self.clr_iterations == 0:\n",
        "                K.set_value(self.model.optimizer.momentum, self.cm())\n",
        "            else:\n",
        "                K.set_value(self.model.optimizer.momentum, self.cm())\n",
        "            \n",
        "            \n",
        "    def on_batch_begin(self, batch, logs=None):\n",
        "        \n",
        "        logs = logs or {}\n",
        "        self.trn_iterations += 1\n",
        "        self.clr_iterations += 1\n",
        "\n",
        "        self.history.setdefault('lr', []).append(K.get_value(self.model.optimizer.lr))\n",
        "        self.history.setdefault('iterations', []).append(self.trn_iterations)\n",
        "        \n",
        "        if self.cyclical_momentum == True:\n",
        "            self.history.setdefault('momentum', []).append(K.get_value(self.model.optimizer.momentum))\n",
        "\n",
        "        for k, v in logs.items():\n",
        "            self.history.setdefault(k, []).append(v)\n",
        "        \n",
        "        K.set_value(self.model.optimizer.lr, self.clr())\n",
        "        \n",
        "        if self.cyclical_momentum == True:\n",
        "            K.set_value(self.model.optimizer.momentum, self.cm())\n",
        "            "
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "K7TuLBom7y10",
        "colab_type": "text"
      },
      "source": [
        "#$ Learning \\, Range \\, Test $#\n",
        "$ For \\, completely \\, freezed \\, model \\, (pre-trained \\, layers) \\, with \\, an \\, added \\, classifier \\, block$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PdLP7NRSKBcH",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 50
        },
        "outputId": "a70e20a4-4bb9-4beb-880a-07fb56cf75ce"
      },
      "source": [
        "base_model = vgg.VGG16(weights='imagenet', \n",
        "                       include_top=False, \n",
        "                       input_shape=(32, 32, 3))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Downloading data from https://github.com/fchollet/deep-learning-models/releases/download/v0.1/vgg16_weights_tf_dim_ordering_tf_kernels_notop.h5\n",
            "58892288/58889256 [==============================] - 1s 0us/step\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5DBs9kEM8l2A",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "last = base_model.layers[-1].output"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8hKmfc1pSMwf",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "last=GlobalAveragePooling2D()(last)\n",
        "last=Dense(512,name='dense_top_1')(last)\n",
        "x=BatchNormalization(name='batch_norm_top_1')(last)\n",
        "x=Activation('relu',name='activation_top_1')(x)\n",
        "x=Dense(256,name='dense_top_2')(x)\n",
        "x=BatchNormalization(name='batch_norm_top_2')(x)\n",
        "x=Activation('relu',name='activation_top_2')(x)\n",
        "pred=Dense(6, activation='softmax',name='dense_top_3')(x)\n",
        "new_model=Model(base_model.input,pred)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yeoFuHVsSmmY",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "for layer in base_model.layers:\n",
        "     layer.trainable = False"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6Oup2Je-ULNl",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "new_model.compile(loss='categorical_crossentropy',\n",
        "              optimizer=optimizers.Adam(lr=1e-5),\n",
        "              metrics=['accuracy'])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TZxKcR_EUXfO",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "13ab152b-16e6-4caa-afeb-90e9c1e2bbc8"
      },
      "source": [
        "new_model.summary()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"model_1\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_1 (InputLayer)         (None, 32, 32, 3)         0         \n",
            "_________________________________________________________________\n",
            "block1_conv1 (Conv2D)        (None, 32, 32, 64)        1792      \n",
            "_________________________________________________________________\n",
            "block1_conv2 (Conv2D)        (None, 32, 32, 64)        36928     \n",
            "_________________________________________________________________\n",
            "block1_pool (MaxPooling2D)   (None, 16, 16, 64)        0         \n",
            "_________________________________________________________________\n",
            "block2_conv1 (Conv2D)        (None, 16, 16, 128)       73856     \n",
            "_________________________________________________________________\n",
            "block2_conv2 (Conv2D)        (None, 16, 16, 128)       147584    \n",
            "_________________________________________________________________\n",
            "block2_pool (MaxPooling2D)   (None, 8, 8, 128)         0         \n",
            "_________________________________________________________________\n",
            "block3_conv1 (Conv2D)        (None, 8, 8, 256)         295168    \n",
            "_________________________________________________________________\n",
            "block3_conv2 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_conv3 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_pool (MaxPooling2D)   (None, 4, 4, 256)         0         \n",
            "_________________________________________________________________\n",
            "block4_conv1 (Conv2D)        (None, 4, 4, 512)         1180160   \n",
            "_________________________________________________________________\n",
            "block4_conv2 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_conv3 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_pool (MaxPooling2D)   (None, 2, 2, 512)         0         \n",
            "_________________________________________________________________\n",
            "block5_conv1 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv2 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv3 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_pool (MaxPooling2D)   (None, 1, 1, 512)         0         \n",
            "_________________________________________________________________\n",
            "global_average_pooling2d_1 ( (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_1 (Dense)          (None, 512)               262656    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_1 (BatchNorma (None, 512)               2048      \n",
            "_________________________________________________________________\n",
            "activation_top_1 (Activation (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_2 (Dense)          (None, 256)               131328    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_2 (BatchNorma (None, 256)               1024      \n",
            "_________________________________________________________________\n",
            "activation_top_2 (Activation (None, 256)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_3 (Dense)          (None, 6)                 1542      \n",
            "=================================================================\n",
            "Total params: 15,113,286\n",
            "Trainable params: 397,062\n",
            "Non-trainable params: 14,716,224\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VzBBz55sx-HC",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "outputId": "4ab05b32-7ad6-4106-ba60-249d33752987"
      },
      "source": [
        "for layer in new_model.layers:\n",
        "    print(layer, layer.trainable)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<keras.engine.input_layer.InputLayer object at 0x7f1abec8ff60> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abec8fc18> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abec8fd30> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1abed1ccc0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abed1c978> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abecb4978> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1abecb3b70> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abecb3cf8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe471ef0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe472550> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1abe472dd8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe472da0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe4a0b00> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe6046a0> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1abe604eb8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe604fd0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe5fac50> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1abe6287f0> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1abe5f2278> False\n",
            "<keras.layers.pooling.GlobalAveragePooling2D object at 0x7f1abad2bbe0> True\n",
            "<keras.layers.core.Dense object at 0x7f1abad2bba8> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f1abad2bcf8> True\n",
            "<keras.layers.core.Activation object at 0x7f1abad2bdd8> True\n",
            "<keras.layers.core.Dense object at 0x7f1abad2beb8> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f1abad33470> True\n",
            "<keras.layers.core.Activation object at 0x7f1abad5ceb8> True\n",
            "<keras.layers.core.Dense object at 0x7f1abad4fba8> True\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Jta1lV24x-11",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "clr = CyclicLR(base_lr=1e-5, max_lr=2,\n",
        "                        step_size=4*2295)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gDq6Za0IyIpy",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 168
        },
        "outputId": "16d0b6cc-1286-479e-c1d6-e2bfc4fe3526"
      },
      "source": [
        "history = new_model.fit(x_train,\n",
        "                        y_train, \n",
        "                        batch_size=120, \n",
        "                        epochs=4,\n",
        "                        validation_data=(x_val,y_val),\n",
        "                        callbacks=[clr], \n",
        "                        verbose=1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Train on 275400 samples, validate on 48600 samples\n",
            "Epoch 1/4\n",
            "275400/275400 [==============================] - 280s 1ms/step - loss: 0.2281 - accuracy: 0.9188 - val_loss: 0.4808 - val_accuracy: 0.8605\n",
            "Epoch 2/4\n",
            "275400/275400 [==============================] - 279s 1ms/step - loss: 0.4712 - accuracy: 0.8459 - val_loss: 1.2160 - val_accuracy: 0.6696\n",
            "Epoch 3/4\n",
            "275400/275400 [==============================] - 278s 1ms/step - loss: 0.8144 - accuracy: 0.7496 - val_loss: 1.4902 - val_accuracy: 0.5934\n",
            "Epoch 4/4\n",
            "275400/275400 [==============================] - 282s 1ms/step - loss: 1.4674 - accuracy: 0.5055 - val_loss: 1.3768 - val_accuracy: 0.3714\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Kh0nJV36yLYb",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 318
        },
        "outputId": "e0ebb4da-602b-4282-eb94-c1d247ba32c1"
      },
      "source": [
        "plt.xlabel('Training Iterations')\n",
        "plt.ylabel('Learning Rate')\n",
        "plt.title(\"Learning rate range test\")\n",
        "plt.plot(clr.history['iterations'], clr.history['lr'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f1ab9c98208>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 26
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "X1-OJxckyOeP",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 318
        },
        "outputId": "36feb681-4ee9-4b86-bccf-7ed667556164"
      },
      "source": [
        "h = clr.history\n",
        "lr = h['lr']\n",
        "acc = h['accuracy']\n",
        "plt.xlabel('learning rate')\n",
        "plt.ylabel('Accuracy')\n",
        "plt.title(\"Learning rate range test\")\n",
        "plt.plot(lr,acc)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f1ab9af3c18>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 27
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "A1weLSJI8OA5",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "d72aae3b-1e4a-4004-f63f-d55a600f77c8"
      },
      "source": [
        "for i in range(5000):\n",
        "  print(lr[i],acc[i])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n",
            "0.00022786383 0.054166667\n",
            "0.00044572767 0.083333336\n",
            "0.0006635915 0.20208333\n",
            "0.0008814553 0.28666666\n",
            "0.0010993192 0.35833332\n",
            "0.001317183 0.41428572\n",
            "0.0015350468 0.45520833\n",
            "0.0017529107 0.49907407\n",
            "0.0019707745 0.53333336\n",
            "0.0021886383 0.5530303\n",
            "0.0024065021 0.57708335\n",
            "0.002624366 0.6\n",
            "0.0028422298 0.6220238\n",
            "0.0030600936 0.63666666\n",
            "0.0032779574 0.6458333\n",
            "0.0034958213 0.6602941\n",
            "0.003713685 0.6703704\n",
            "0.003931549 0.68201756\n",
            "0.0041494127 0.68958336\n",
            "0.0043672766 0.697619\n",
            "0.0045851404 0.70719695\n",
            "0.004803004 0.7152174\n",
            "0.005020868 0.72256947\n",
            "0.005238732 0.72833335\n",
            "0.0054565957 0.7346154\n",
            "0.0056744595 0.7385802\n",
            "0.0058923233 0.74494046\n",
            "0.006110187 0.74971265\n",
            "0.006328051 0.75555557\n",
            "0.006545915 0.7599462\n",
            "0.006763779 0.76640624\n",
            "0.006981643 0.76969695\n",
            "0.0071995067 0.7742647\n",
            "0.0074173706 0.7778571\n",
            "0.0076352344 0.78125\n",
            "0.007853098 0.78468466\n",
            "0.008070962 0.7890351\n",
            "0.008288826 0.7929487\n",
            "0.008506689 0.79479164\n",
            "0.0087245535 0.797561\n",
            "0.008942417 0.8003968\n",
            "0.009160281 0.800969\n",
            "0.0093781445 0.8032197\n",
            "0.009596009 0.8048148\n",
            "0.009813872 0.8063406\n",
            "0.010031736 0.80744684\n",
            "0.0102496 0.8095486\n",
            "0.010467464 0.8113946\n",
            "0.010685327 0.8125\n",
            "0.010903192 0.8137255\n",
            "0.011121055 0.8153846\n",
            "0.011338919 0.8172956\n",
            "0.011556783 0.81898147\n",
            "0.011774647 0.82\n",
            "0.011992511 0.8217262\n",
            "0.012210375 0.8232456\n",
            "0.012428239 0.82428163\n",
            "0.012646102 0.8259887\n",
            "0.012863967 0.8265278\n",
            "0.01308183 0.8285519\n",
            "0.013299694 0.8297043\n",
            "0.013517558 0.8313492\n",
            "0.013735422 0.8316406\n",
            "0.013953285 0.8323077\n",
            "0.01417115 0.8337121\n",
            "0.014389013 0.8340796\n",
            "0.014606877 0.8357843\n",
            "0.014824741 0.8369565\n",
            "0.015042605 0.8379762\n",
            "0.015260468 0.8394366\n",
            "0.0154783325 0.84097224\n",
            "0.015696196 0.84212327\n",
            "0.01591406 0.8429054\n",
            "0.016131924 0.8436667\n",
            "0.016349787 0.8446272\n",
            "0.016567651 0.84512985\n",
            "0.016785515 0.84647435\n",
            "0.01700338 0.8473629\n",
            "0.017221242 0.84770834\n",
            "0.017439106 0.8484568\n",
            "0.01765697 0.84928864\n",
            "0.017874835 0.85\n",
            "0.018092697 0.85059524\n",
            "0.018310562 0.85107845\n",
            "0.018528426 0.8514535\n",
            "0.01874629 0.85239464\n",
            "0.018964153 0.85227275\n",
            "0.019182017 0.8527154\n",
            "0.019399881 0.85388887\n",
            "0.019617746 0.85467035\n",
            "0.019835608 0.8557065\n",
            "0.020053472 0.85672045\n",
            "0.020271337 0.85771275\n",
            "0.020489201 0.85780704\n",
            "0.020707063 0.85859376\n",
            "0.020924928 0.85919243\n",
            "0.021142792 0.85986394\n",
            "0.021360656 0.8603535\n",
            "0.02157852 0.8609167\n",
            "0.021796383 0.86163366\n",
            "0.022014247 0.8622549\n",
            "0.022232112 0.8627832\n",
            "0.022449976 0.8629808\n",
            "0.022667838 0.8634127\n",
            "0.022885703 0.86336476\n",
            "0.023103567 0.86394083\n",
            "0.023321431 0.86473763\n",
            "0.023539294 0.8655199\n",
            "0.023757158 0.8655303\n",
            "0.023975022 0.865991\n",
            "0.024192886 0.86651784\n",
            "0.024410749 0.8663717\n",
            "0.024628613 0.8670322\n",
            "0.024846477 0.86731887\n",
            "0.025064342 0.8678161\n",
            "0.025282204 0.867735\n",
            "0.025500068 0.86807907\n",
            "0.025717933 0.8684174\n",
            "0.025935797 0.86854166\n",
            "0.02615366 0.8688705\n",
            "0.026371524 0.86905736\n",
            "0.026589388 0.86930895\n",
            "0.026807252 0.86975807\n",
            "0.027025115 0.8699333\n",
            "0.027242979 0.8701058\n",
            "0.027460843 0.87047243\n",
            "0.027678708 0.87102866\n",
            "0.02789657 0.87118864\n",
            "0.028114434 0.87173074\n",
            "0.028332299 0.8721374\n",
            "0.028550163 0.87247473\n",
            "0.028768025 0.8726817\n",
            "0.02898589 0.8731343\n",
            "0.029203754 0.87364197\n",
            "0.029421618 0.8740809\n",
            "0.02963948 0.87445253\n",
            "0.029857345 0.87463766\n",
            "0.03007521 0.8751798\n",
            "0.030293074 0.8754762\n",
            "0.030510936 0.8757683\n",
            "0.0307288 0.8760563\n",
            "0.030946665 0.87651515\n",
            "0.031164529 0.87708336\n",
            "0.031382393 0.87706894\n",
            "0.031600256 0.87751144\n",
            "0.03181812 0.87800455\n",
            "0.032035984 0.87832206\n",
            "0.032253847 0.87863535\n",
            "0.032471713 0.879\n",
            "0.032689575 0.87947017\n",
            "0.032907438 0.8798246\n",
            "0.033125304 0.87990195\n",
            "0.033343166 0.8800866\n",
            "0.033561032 0.8804301\n",
            "0.033778895 0.88108975\n",
            "0.033996757 0.8811571\n",
            "0.034214623 0.88127637\n",
            "0.034432486 0.8816038\n",
            "0.034650348 0.88203126\n",
            "0.034868214 0.8820393\n",
            "0.035086077 0.881893\n",
            "0.035303943 0.8822597\n",
            "0.035521805 0.88262194\n",
            "0.035739668 0.8828788\n",
            "0.035957534 0.88298196\n",
            "0.036175396 0.88323355\n",
            "0.03639326 0.88343257\n",
            "0.036611125 0.8831854\n",
            "0.036828987 0.8835784\n",
            "0.037046853 0.88362575\n",
            "0.037264716 0.8840601\n",
            "0.03748258 0.88439304\n",
            "0.037700444 0.8845785\n",
            "0.037918307 0.88457143\n",
            "0.03813617 0.88489586\n",
            "0.038354035 0.88502824\n",
            "0.038571898 0.88506556\n",
            "0.038789764 0.8851024\n",
            "0.039007626 0.88527775\n",
            "0.03922549 0.8853591\n",
            "0.039443355 0.8855311\n",
            "0.039661217 0.8858379\n",
            "0.03987908 0.8856884\n",
            "0.040096946 0.88572073\n",
            "0.04031481 0.8859319\n",
            "0.040532675 0.88596255\n",
            "0.040750537 0.88568264\n",
            "0.0409684 0.88584656\n",
            "0.041186266 0.8860965\n",
            "0.041404128 0.8860384\n",
            "0.041621994 0.8861979\n",
            "0.041839857 0.8860967\n",
            "0.04205772 0.88651204\n",
            "0.042275585 0.8867521\n",
            "0.042493448 0.8869048\n",
            "0.04271131 0.8870558\n",
            "0.042929176 0.88737375\n",
            "0.04314704 0.88743716\n",
            "0.043364905 0.8874583\n",
            "0.043582767 0.88781095\n",
            "0.04380063 0.88816005\n",
            "0.044018496 0.8883005\n",
            "0.04423636 0.88852125\n",
            "0.04445422 0.8887805\n",
            "0.044672087 0.88915855\n",
            "0.04488995 0.8894122\n",
            "0.045107815 0.8894631\n",
            "0.045325678 0.8896332\n",
            "0.04554354 0.88988096\n",
            "0.045761406 0.8900079\n",
            "0.04597927 0.8901336\n",
            "0.04619713 0.8902582\n",
            "0.046414997 0.89034265\n",
            "0.04663286 0.89023256\n",
            "0.046850726 0.89035493\n",
            "0.04706859 0.8907066\n",
            "0.04728645 0.89101684\n",
            "0.047504317 0.89113396\n",
            "0.04772218 0.8914015\n",
            "0.047940042 0.8914781\n",
            "0.048157908 0.89136636\n",
            "0.04837577 0.89151716\n",
            "0.048593637 0.8917783\n",
            "0.0488115 0.89207405\n",
            "0.04902936 0.8920354\n",
            "0.049247228 0.8922908\n",
            "0.04946509 0.8925804\n",
            "0.049682952 0.89275837\n",
            "0.04990082 0.8929348\n",
            "0.05011868 0.8931097\n",
            "0.050336547 0.8933549\n",
            "0.05055441 0.89356226\n",
            "0.050772272 0.89366096\n",
            "0.05099014 0.8933688\n",
            "0.051208 0.8936794\n",
            "0.051425867 0.8940225\n",
            "0.05164373 0.8942227\n",
            "0.05186159 0.89407253\n",
            "0.052079458 0.8943055\n",
            "0.05229732 0.89426005\n",
            "0.052515183 0.893905\n",
            "0.05273305 0.8941015\n",
            "0.05295091 0.89422816\n",
            "0.053168777 0.8942517\n",
            "0.05338664 0.89444447\n",
            "0.053604502 0.8945344\n",
            "0.05382237 0.8947245\n",
            "0.05404023 0.89494646\n",
            "0.054258093 0.89496666\n",
            "0.05447596 0.8947211\n",
            "0.05469382 0.8949074\n",
            "0.054911688 0.89512515\n",
            "0.05512955 0.8950787\n",
            "0.055347413 0.8950327\n",
            "0.05556528 0.8951823\n",
            "0.05578314 0.89523345\n",
            "0.056001004 0.89538115\n",
            "0.05621887 0.89555985\n",
            "0.056436732 0.8957051\n",
            "0.0566546 0.89588124\n",
            "0.05687246 0.89599234\n",
            "0.057090323 0.89594424\n",
            "0.05730819 0.89602274\n",
            "0.057526052 0.89603776\n",
            "0.057743914 0.8962093\n",
            "0.05796178 0.89647317\n",
            "0.058179643 0.8966107\n",
            "0.05839751 0.89668524\n",
            "0.05861537 0.8967284\n",
            "0.058833234 0.8967405\n",
            "0.0590511 0.89690566\n",
            "0.059268963 0.89713067\n",
            "0.059486825 0.8973236\n",
            "0.05970469 0.8973333\n",
            "0.059922554 0.8972826\n",
            "0.06014042 0.897503\n",
            "0.060358282 0.8976319\n",
            "0.060576145 0.8978793\n",
            "0.06079401 0.8979464\n",
            "0.061011873 0.8979834\n",
            "0.061229736 0.8981974\n",
            "0.0614476 0.89832157\n",
            "0.061665464 0.89850354\n",
            "0.06188333 0.89862573\n",
            "0.062101193 0.89889276\n",
            "0.062319055 0.8989547\n",
            "0.06253692 0.8990741\n",
            "0.06275479 0.8991638\n",
            "0.06297265 0.8993678\n",
            "0.06319051 0.89957047\n",
            "0.063408375 0.8996861\n",
            "0.06362624 0.8995734\n",
            "0.06384411 0.8996315\n",
            "0.06406197 0.8997175\n",
            "0.06427983 0.89985925\n",
            "0.064497694 0.8998597\n",
            "0.06471556 0.8999161\n",
            "0.06493342 0.9001115\n",
            "0.06515129 0.9001389\n",
            "0.06536915 0.9001107\n",
            "0.065587014 0.90013796\n",
            "0.06580488 0.9002475\n",
            "0.06602274 0.90035635\n",
            "0.06624061 0.9002186\n",
            "0.06645847 0.90043575\n",
            "0.06667633 0.90059716\n",
            "0.066894196 0.9008117\n",
            "0.06711206 0.900863\n",
            "0.06732993 0.90094084\n",
            "0.06754779 0.90099144\n",
            "0.06776565 0.9009615\n",
            "0.067983516 0.90114486\n",
            "0.06820138 0.9010881\n",
            "0.06841924 0.9012169\n",
            "0.06863711 0.90105486\n",
            "0.06885497 0.9011041\n",
            "0.069072835 0.90117925\n",
            "0.0692907 0.9012278\n",
            "0.06950856 0.9011979\n",
            "0.06972643 0.90119416\n",
            "0.06994429 0.9012163\n",
            "0.070162155 0.90129\n",
            "0.07038002 0.9014403\n",
            "0.07059788 0.9015385\n",
            "0.07081575 0.9016616\n",
            "0.07103361 0.901631\n",
            "0.071251474 0.901626\n",
            "0.07146934 0.9017477\n",
            "0.0716872 0.90181816\n",
            "0.07190507 0.9018882\n",
            "0.07212293 0.9019829\n",
            "0.072340794 0.902027\n",
            "0.07255866 0.90222055\n",
            "0.07277652 0.9023383\n",
            "0.07299438 0.9022073\n",
            "0.07321225 0.9022008\n",
            "0.07343011 0.9022929\n",
            "0.073647976 0.902237\n",
            "0.07386584 0.9022549\n",
            "0.0740837 0.90229714\n",
            "0.07430157 0.90236354\n",
            "0.07451943 0.90230805\n",
            "0.074737296 0.9023982\n",
            "0.07495516 0.9023913\n",
            "0.07517302 0.9023603\n",
            "0.07539089 0.9024976\n",
            "0.07560875 0.9025383\n",
            "0.075826615 0.9025072\n",
            "0.07604448 0.90257144\n",
            "0.07626234 0.9026828\n",
            "0.0764802 0.9026989\n",
            "0.07669807 0.90273845\n",
            "0.076915935 0.90275425\n",
            "0.0771338 0.90291077\n",
            "0.07735166 0.9027622\n",
            "0.07756952 0.9028011\n",
            "0.07778739 0.90283984\n",
            "0.078005254 0.902948\n",
            "0.07822312 0.90310186\n",
            "0.07844098 0.90323174\n",
            "0.07865884 0.90322286\n",
            "0.07887671 0.9032369\n",
            "0.079094574 0.9032967\n",
            "0.07931244 0.9033105\n",
            "0.0795303 0.9032787\n",
            "0.07974816 0.9034514\n",
            "0.07996602 0.9035326\n",
            "0.08018389 0.9036585\n",
            "0.080401756 0.90373874\n",
            "0.08061962 0.9038859\n",
            "0.08083748 0.90383065\n",
            "0.08105534 0.90395445\n",
            "0.08127321 0.90405524\n",
            "0.081491075 0.904\n",
            "0.08170894 0.90416664\n",
            "0.0819268 0.9039346\n",
            "0.08214466 0.9039462\n",
            "0.08236253 0.9040897\n",
            "0.082580395 0.90416664\n",
            "0.08279826 0.9041776\n",
            "0.08301612 0.9041448\n",
            "0.08323398 0.90406877\n",
            "0.08345185 0.90412325\n",
            "0.083669715 0.90422076\n",
            "0.08388758 0.90408033\n",
            "0.08410544 0.9040698\n",
            "0.0843233 0.9041022\n",
            "0.084541164 0.90407026\n",
            "0.084759034 0.9040812\n",
            "0.0849769 0.9041347\n",
            "0.08519476 0.9042092\n",
            "0.08541262 0.9043681\n",
            "0.085630484 0.9044205\n",
            "0.085848354 0.9044726\n",
            "0.086066216 0.9045665\n",
            "0.08628408 0.90468097\n",
            "0.08650194 0.90469015\n",
            "0.0867198 0.9047828\n",
            "0.08693767 0.90477085\n",
            "0.087155536 0.9048213\n",
            "0.0873734 0.90487146\n",
            "0.08759126 0.90498346\n",
            "0.08780912 0.90513617\n",
            "0.088026986 0.90518516\n",
            "0.088244855 0.9053366\n",
            "0.08846272 0.90538496\n",
            "0.08868058 0.90545344\n",
            "0.08889844 0.90548086\n",
            "0.089116305 0.9055081\n",
            "0.089334175 0.90565693\n",
            "0.08955204 0.9057646\n",
            "0.0897699 0.9056901\n",
            "0.08998776 0.90569645\n",
            "0.090205625 0.9057028\n",
            "0.090423495 0.90578926\n",
            "0.09064136 0.9058953\n",
            "0.09085922 0.90592104\n",
            "0.09107708 0.90600634\n",
            "0.091294944 0.90613097\n",
            "0.091512814 0.9061956\n",
            "0.09173068 0.9062204\n",
            "0.09194854 0.9063042\n",
            "0.0921664 0.90630895\n",
            "0.092384264 0.9062745\n",
            "0.09260213 0.9062989\n",
            "0.092819996 0.90636224\n",
            "0.09303786 0.9064447\n",
            "0.09325572 0.90648794\n",
            "0.09347358 0.9065504\n",
            "0.093691446 0.9066319\n",
            "0.093909316 0.90671295\n",
            "0.09412718 0.9067937\n",
            "0.09434504 0.9068356\n",
            "0.0945629 0.90680075\n",
            "0.094780765 0.9068425\n",
            "0.094998635 0.9068841\n",
            "0.0952165 0.9067542\n",
            "0.09543436 0.9068527\n",
            "0.09565222 0.90679926\n",
            "0.095870085 0.9068972\n",
            "0.09608795 0.90690047\n",
            "0.09630582 0.9069789\n",
            "0.09652368 0.9069632\n",
            "0.09674154 0.9070225\n",
            "0.096959405 0.90711886\n",
            "0.09717727 0.9071775\n",
            "0.09739514 0.90704983\n",
            "0.097613 0.9070898\n",
            "0.09783086 0.90712965\n",
            "0.098048724 0.90720624\n",
            "0.09826659 0.9072087\n",
            "0.09848446 0.90708244\n",
            "0.09870232 0.9071586\n",
            "0.09892018 0.9071978\n",
            "0.099138044 0.90718204\n",
            "0.099355906 0.90723926\n",
            "0.09957377 0.90729624\n",
            "0.09979164 0.90729845\n",
            "0.1000095 0.9074094\n",
            "0.10022736 0.9074476\n",
            "0.100445226 0.9074495\n",
            "0.10066309 0.9074154\n",
            "0.10088096 0.9074533\n",
            "0.10109882 0.90750897\n",
            "0.10131668 0.90747494\n",
            "0.101534545 0.90749466\n",
            "0.10175241 0.9075677\n",
            "0.10197028 0.9076048\n",
            "0.10218814 0.9076596\n",
            "0.102406 0.9076433\n",
            "0.102623865 0.9075742\n",
            "0.10284173 0.9075758\n",
            "0.1030596 0.90764767\n",
            "0.10327746 0.9077193\n",
            "0.10349532 0.9077906\n",
            "0.103713185 0.90777427\n",
            "0.10393105 0.9078452\n",
            "0.10414891 0.9079332\n",
            "0.10436678 0.907934\n",
            "0.10458464 0.90791756\n",
            "0.104802504 0.9080221\n",
            "0.10502037 0.9081435\n",
            "0.10523823 0.90816116\n",
            "0.1054561 0.9082131\n",
            "0.10567396 0.9083162\n",
            "0.105891824 0.9083676\n",
            "0.106109686 0.90847\n",
            "0.10632755 0.9085208\n",
            "0.10654542 0.9085034\n",
            "0.10676328 0.90848607\n",
            "0.10698114 0.90857047\n",
            "0.107199006 0.9086038\n",
            "0.10741687 0.90865386\n",
            "0.10763473 0.9086532\n",
            "0.1078526 0.9086189\n",
            "0.10807046 0.90863514\n",
            "0.108288325 0.9087182\n",
            "0.10850619 0.9087842\n",
            "0.10872405 0.9086667\n",
            "0.10894192 0.9086494\n",
            "0.10915978 0.9087151\n",
            "0.109377645 0.90863156\n",
            "0.10959551 0.90869707\n",
            "0.10981337 0.90879536\n",
            "0.11003124 0.90887684\n",
            "0.1102491 0.9088593\n",
            "0.110466965 0.90884185\n",
            "0.11068483 0.9088081\n",
            "0.11090269 0.9088562\n",
            "0.11112056 0.90890414\n",
            "0.11133842 0.908903\n",
            "0.111556284 0.9089506\n",
            "0.11177415 0.90894943\n",
            "0.11199201 0.9089159\n",
            "0.11220987 0.9089309\n",
            "0.11242774 0.90894586\n",
            "0.1126456 0.9088321\n",
            "0.112863466 0.90876687\n",
            "0.11308133 0.90873396\n",
            "0.11329919 0.9088132\n",
            "0.11351706 0.90876436\n",
            "0.11373492 0.9088432\n",
            "0.113952786 0.90888995\n",
            "0.11417065 0.9089365\n",
            "0.11438851 0.908967\n",
            "0.11460638 0.90902907\n",
            "0.11482424 0.90904355\n",
            "0.115042105 0.9091525\n",
            "0.11525997 0.9091981\n",
            "0.11547783 0.9091651\n",
            "0.11569569 0.9092732\n",
            "0.11591356 0.9093183\n",
            "0.116131425 0.90944135\n",
            "0.11634929 0.9094548\n",
            "0.11656715 0.90948385\n",
            "0.11678501 0.9094972\n",
            "0.11700288 0.9095725\n",
            "0.117220744 0.9095547\n",
            "0.11743861 0.9096451\n",
            "0.11765647 0.90970427\n",
            "0.11787433 0.909794\n",
            "0.1180922 0.9098527\n",
            "0.118310064 0.90983456\n",
            "0.11852793 0.90987766\n",
            "0.11874579 0.90998167\n",
            "0.11896365 0.9100396\n",
            "0.119181514 0.9100973\n",
            "0.11939938 0.9100941\n",
            "0.119617246 0.91004544\n",
            "0.11983511 0.91004235\n",
            "0.12005297 0.9100996\n",
            "0.12027083 0.9101115\n",
            "0.1204887 0.91013837\n",
            "0.120706566 0.9101502\n",
            "0.12092443 0.91020685\n",
            "0.12114229 0.91020346\n",
            "0.12136015 0.91025984\n",
            "0.12157802 0.91028625\n",
            "0.121795885 0.9102232\n",
            "0.12201375 0.91024953\n",
            "0.12223161 0.910261\n",
            "0.12244947 0.9103612\n",
            "0.12266734 0.9103428\n",
            "0.122885205 0.91038346\n",
            "0.12310307 0.91040933\n",
            "0.12332093 0.91034687\n",
            "0.12353879 0.9104313\n",
            "0.123756655 0.910413\n",
            "0.123974524 0.91040933\n",
            "0.12419239 0.9104349\n",
            "0.12441025 0.91030014\n",
            "0.12462811 0.91018033\n",
            "0.124845974 0.9100755\n",
            "0.12506384 0.91013044\n",
            "0.1252817 0.91014177\n",
            "0.12549956 0.91013867\n",
            "0.12571743 0.9102076\n",
            "0.1259353 0.91027635\n",
            "0.12615316 0.9102586\n",
            "0.12637103 0.91037005\n",
            "0.12658888 0.9104381\n",
            "0.12680675 0.9104631\n",
            "0.12702462 0.9104452\n",
            "0.12724248 0.91049856\n",
            "0.12746035 0.9105233\n",
            "0.1276782 0.9105764\n",
            "0.12789607 0.9105442\n",
            "0.12811394 0.91054046\n",
            "0.1283318 0.91060734\n",
            "0.12854967 0.9105894\n",
            "0.12876752 0.910656\n",
            "0.12898539 0.91065204\n",
            "0.12920326 0.91074634\n",
            "0.12942111 0.9107983\n",
            "0.12963898 0.91082215\n",
            "0.12985684 0.9107482\n",
            "0.13007471 0.9107581\n",
            "0.13029258 0.9108236\n",
            "0.13051043 0.91083336\n",
            "0.1307283 0.9108015\n",
            "0.13094616 0.91063124\n",
            "0.13116403 0.9106551\n",
            "0.1313819 0.91072017\n",
            "0.13159975 0.91066116\n",
            "0.13181762 0.9106848\n",
            "0.13203548 0.91068095\n",
            "0.13225335 0.91063595\n",
            "0.13247122 0.9106322\n",
            "0.13268907 0.9106421\n",
            "0.13290694 0.9105701\n",
            "0.1331248 0.9105392\n",
            "0.13334267 0.91053563\n",
            "0.13356052 0.91057277\n",
            "0.1337784 0.91065043\n",
            "0.13399626 0.9107278\n",
            "0.13421412 0.9107239\n",
            "0.13443199 0.9108414\n",
            "0.13464984 0.91087776\n",
            "0.13486771 0.910914\n",
            "0.13508558 0.91100377\n",
            "0.13530344 0.91097265\n",
            "0.13552131 0.91102195\n",
            "0.13573916 0.911031\n",
            "0.13595703 0.91112\n",
            "0.1361749 0.91115546\n",
            "0.13639276 0.91119087\n",
            "0.13661063 0.9112394\n",
            "0.13682848 0.9112745\n",
            "0.13704635 0.9112831\n",
            "0.13726422 0.91130483\n",
            "0.13748208 0.9112737\n",
            "0.13769995 0.9112296\n",
            "0.1379178 0.9112776\n",
            "0.13813567 0.91125983\n",
            "0.13835354 0.91125524\n",
            "0.1385714 0.91128993\n",
            "0.13878927 0.91135055\n",
            "0.13900712 0.911385\n",
            "0.13922499 0.9113021\n",
            "0.13944286 0.91128445\n",
            "0.13966072 0.91126686\n",
            "0.13987859 0.9112364\n",
            "0.14009644 0.9111413\n",
            "0.14031431 0.910969\n",
            "0.14053217 0.9109391\n",
            "0.14075004 0.9109866\n",
            "0.1409679 0.9110468\n",
            "0.14118576 0.911094\n",
            "0.14140363 0.9111026\n",
            "0.14162149 0.9111623\n",
            "0.14183936 0.9112091\n",
            "0.14205723 0.9112302\n",
            "0.14227508 0.91123855\n",
            "0.14249295 0.9112723\n",
            "0.1427108 0.91125506\n",
            "0.14292867 0.9113014\n",
            "0.14314654 0.9111829\n",
            "0.1433644 0.91122913\n",
            "0.14358227 0.9113131\n",
            "0.14380012 0.9113212\n",
            "0.144018 0.91140485\n",
            "0.14423586 0.9114128\n",
            "0.14445372 0.91150856\n",
            "0.14467159 0.9114912\n",
            "0.14488944 0.91151154\n",
            "0.14510731 0.91153175\n",
            "0.14532518 0.9115893\n",
            "0.14554304 0.9116592\n",
            "0.14576091 0.9116169\n",
            "0.14597876 0.9116617\n",
            "0.14619663 0.91168153\n",
            "0.1464145 0.91176325\n",
            "0.14663236 0.9117458\n",
            "0.14685023 0.91175306\n",
            "0.14706808 0.91161245\n",
            "0.14728595 0.91158295\n",
            "0.14750382 0.91160274\n",
            "0.14772168 0.91156113\n",
            "0.14793955 0.91155636\n",
            "0.1481574 0.9116128\n",
            "0.14837527 0.91154695\n",
            "0.14859313 0.9114446\n",
            "0.148811 0.911501\n",
            "0.14902887 0.91149634\n",
            "0.14924672 0.9115039\n",
            "0.14946459 0.9115114\n",
            "0.14968245 0.91153103\n",
            "0.14990032 0.9115022\n",
            "0.15011819 0.91146135\n",
            "0.15033604 0.91148096\n",
            "0.15055391 0.91151255\n",
            "0.15077177 0.91151994\n",
            "0.15098964 0.9115634\n",
            "0.1512075 0.91159475\n",
            "0.15142536 0.911602\n",
            "0.15164323 0.9115854\n",
            "0.15186109 0.9116523\n",
            "0.15207896 0.9116834\n",
            "0.15229683 0.9116667\n",
            "0.15251468 0.9116857\n",
            "0.15273255 0.9117284\n",
            "0.1529504 0.91175914\n",
            "0.15316828 0.9117898\n",
            "0.15338615 0.91182035\n",
            "0.153604 0.9118744\n",
            "0.15382187 0.9118576\n",
            "0.15403973 0.91185266\n",
            "0.1542576 0.9118007\n",
            "0.15447547 0.91178405\n",
            "0.15469332 0.91181433\n",
            "0.15491119 0.91183287\n",
            "0.15512905 0.91192144\n",
            "0.15534692 0.91189307\n",
            "0.15556479 0.91189975\n",
            "0.15578264 0.911953\n",
            "0.15600051 0.9119828\n",
            "0.15621836 0.91188484\n",
            "0.15643623 0.91184515\n",
            "0.15665409 0.91184026\n",
            "0.15687196 0.91185856\n",
            "0.15708983 0.9118537\n",
            "0.15730768 0.9118603\n",
            "0.15752555 0.9117749\n",
            "0.15774341 0.9117586\n",
            "0.15796128 0.91174245\n",
            "0.15817915 0.91177213\n",
            "0.158397 0.9117674\n",
            "0.15861487 0.911797\n",
            "0.15883273 0.9119064\n",
            "0.1590506 0.9119813\n",
            "0.15926847 0.91204464\n",
            "0.15948632 0.9120168\n",
            "0.1597042 0.9120345\n",
            "0.15992205 0.9120635\n",
            "0.16013992 0.91212636\n",
            "0.16035779 0.9121664\n",
            "0.16057564 0.9121838\n",
            "0.16079351 0.91225755\n",
            "0.16101137 0.9123311\n",
            "0.16122924 0.91239315\n",
            "0.16144711 0.9124326\n",
            "0.16166496 0.9125056\n",
            "0.16188283 0.9125224\n",
            "0.16210069 0.91250557\n",
            "0.16231856 0.91251117\n",
            "0.16253643 0.9125502\n",
            "0.16275428 0.912578\n",
            "0.16297215 0.91259456\n",
            "0.16319 0.91264445\n",
            "0.16340788 0.9126054\n",
            "0.16362575 0.9126551\n",
            "0.1638436 0.9127269\n",
            "0.16406147 0.9127542\n",
            "0.16427933 0.9127373\n",
            "0.1644972 0.9127425\n",
            "0.16471505 0.91280276\n",
            "0.16493292 0.9128738\n",
            "0.16515079 0.91284585\n",
            "0.16536865 0.91288376\n",
            "0.16558652 0.9128997\n",
            "0.16580437 0.91295934\n",
            "0.16602224 0.91295326\n",
            "0.16624011 0.91303444\n",
            "0.16645797 0.9130937\n",
            "0.16667584 0.9131201\n",
            "0.16689369 0.9131139\n",
            "0.16711156 0.9131727\n",
            "0.16732943 0.91322064\n",
            "0.16754729 0.9132684\n",
            "0.16776516 0.913262\n",
            "0.16798301 0.913288\n",
            "0.16820088 0.91323847\n",
            "0.16841875 0.91319984\n",
            "0.1686366 0.9132258\n",
            "0.16885448 0.9132088\n",
            "0.16907233 0.9132561\n",
            "0.1692902 0.9131534\n",
            "0.16950807 0.91319\n",
            "0.16972592 0.91320515\n",
            "0.1699438 0.9131989\n",
            "0.17016165 0.91326725\n",
            "0.17037952 0.9132716\n",
            "0.17059739 0.9132547\n",
            "0.17081524 0.91329086\n",
            "0.17103311 0.9133482\n",
            "0.17125097 0.9133736\n",
            "0.17146884 0.9133566\n",
            "0.17168671 0.9133608\n",
            "0.17190456 0.91340715\n",
            "0.17212243 0.9134113\n",
            "0.17234029 0.9134575\n",
            "0.17255816 0.9135351\n",
            "0.17277601 0.91348654\n",
            "0.17299388 0.9135115\n",
            "0.17321175 0.91352594\n",
            "0.17342961 0.91344625\n",
            "0.17364748 0.9135234\n",
            "0.17386533 0.9135273\n",
            "0.1740832 0.9135625\n",
            "0.17430107 0.91358715\n",
            "0.17451893 0.9136014\n",
            "0.1747368 0.9135326\n",
            "0.17495465 0.91351575\n",
            "0.17517252 0.9134886\n",
            "0.17539039 0.9134409\n",
            "0.17560825 0.9134655\n",
            "0.17582612 0.9134901\n",
            "0.17604397 0.9135661\n",
            "0.17626184 0.9135597\n",
            "0.17647971 0.9135635\n",
            "0.17669757 0.9135981\n",
            "0.17691544 0.9136224\n",
            "0.17713329 0.91362613\n",
            "0.17735116 0.9136401\n",
            "0.17756903 0.9136642\n",
            "0.17778689 0.9136271\n",
            "0.17800476 0.913641\n",
            "0.17822261 0.91365486\n",
            "0.17844048 0.91365856\n",
            "0.17865835 0.913713\n",
            "0.1788762 0.9137571\n",
            "0.17909408 0.91373026\n",
            "0.17931193 0.9137844\n",
            "0.1795298 0.9137879\n",
            "0.17974766 0.91381156\n",
            "0.17996553 0.91378474\n",
            "0.1801834 0.91380835\n",
            "0.18040125 0.9138118\n",
            "0.18061912 0.91378516\n",
            "0.18083698 0.91379863\n",
            "0.18105485 0.9138321\n",
            "0.18127272 0.91380554\n",
            "0.18149057 0.9138389\n",
            "0.18170844 0.9139022\n",
            "0.1819263 0.9139653\n",
            "0.18214417 0.9139586\n",
            "0.18236203 0.9139519\n",
            "0.18257989 0.9139849\n",
            "0.18279776 0.91396827\n",
            "0.18301561 0.91400117\n",
            "0.18323348 0.91398454\n",
            "0.18345135 0.91398776\n",
            "0.18366921 0.91404027\n",
            "0.18388708 0.914073\n",
            "0.18410493 0.91407603\n",
            "0.1843228 0.9140594\n",
            "0.18454067 0.91407233\n",
            "0.18475853 0.91413426\n",
            "0.1849764 0.9141863\n",
            "0.18519425 0.91421854\n",
            "0.18541212 0.91420186\n",
            "0.18563 0.91427314\n",
            "0.18584785 0.9142955\n",
            "0.18606572 0.914308\n",
            "0.18628357 0.91433024\n",
            "0.18650144 0.91434264\n",
            "0.18671931 0.9143551\n",
            "0.18693717 0.91434807\n",
            "0.18715504 0.91436046\n",
            "0.1873729 0.9143728\n",
            "0.18759076 0.9143658\n",
            "0.18780862 0.9143299\n",
            "0.18802649 0.91437113\n",
            "0.18824436 0.91439307\n",
            "0.18846221 0.9143957\n",
            "0.18868008 0.91443676\n",
            "0.18889794 0.91440094\n",
            "0.1891158 0.9144131\n",
            "0.18933368 0.9144923\n",
            "0.18955153 0.9145427\n",
            "0.1897694 0.91459286\n",
            "0.18998726 0.91466206\n",
            "0.19020513 0.91468346\n",
            "0.190423 0.91470474\n",
            "0.19064085 0.91471654\n",
            "0.19085872 0.9147568\n",
            "0.19107658 0.9147684\n",
            "0.19129445 0.9148085\n",
            "0.19151232 0.9148011\n",
            "0.19173017 0.9148127\n",
            "0.19194804 0.91482425\n",
            "0.1921659 0.9148075\n",
            "0.19238377 0.9148096\n",
            "0.19260164 0.91475517\n",
            "0.19281949 0.9147103\n",
            "0.19303736 0.9146937\n",
            "0.19325522 0.91470534\n",
            "0.19347309 0.9147357\n",
            "0.19369096 0.9147659\n",
            "0.19390881 0.9147961\n",
            "0.19412668 0.9147982\n",
            "0.19434454 0.9148003\n",
            "0.1945624 0.9148863\n",
            "0.19478028 0.9149255\n",
            "0.19499813 0.9149275\n",
            "0.195216 0.914948\n",
            "0.19543386 0.91496843\n",
            "0.19565172 0.9149982\n",
            "0.19586958 0.91500926\n",
            "0.19608745 0.91496485\n",
            "0.19630532 0.9149945\n",
            "0.19652317 0.9150517\n",
            "0.19674104 0.91506267\n",
            "0.1969589 0.9150921\n",
            "0.19717677 0.9151582\n",
            "0.19739464 0.9151874\n",
            "0.1976125 0.91516155\n",
            "0.19783036 0.9151999\n",
            "0.19804822 0.9152106\n",
            "0.19826609 0.9152488\n",
            "0.19848396 0.9152595\n",
            "0.19870181 0.91529757\n",
            "0.19891968 0.91529906\n",
            "0.19913754 0.9152823\n",
            "0.19935541 0.91528386\n",
            "0.19957328 0.91526717\n",
            "0.19979113 0.9152596\n",
            "0.200009 0.9152521\n",
            "0.20022686 0.9152446\n",
            "0.20044473 0.9152823\n",
            "0.2006626 0.91532\n",
            "0.20088045 0.91529435\n",
            "0.20109832 0.91531384\n",
            "0.20131618 0.9153874\n",
            "0.20153405 0.91541576\n",
            "0.20175192 0.9154441\n",
            "0.20196977 0.9154813\n",
            "0.20218764 0.9154916\n",
            "0.2024055 0.9155018\n",
            "0.20262337 0.9155478\n",
            "0.20284124 0.9155579\n",
            "0.20305909 0.91558594\n",
            "0.20327696 0.9156228\n",
            "0.20349482 0.9154456\n",
            "0.20371269 0.91541135\n",
            "0.20393054 0.9154571\n",
            "0.20414841 0.9154762\n",
            "0.20436628 0.915513\n",
            "0.20458414 0.9155585\n",
            "0.204802 0.91554195\n",
            "0.20501986 0.9155343\n",
            "0.20523773 0.91556203\n",
            "0.2054556 0.9155632\n",
            "0.20567346 0.9155467\n",
            "0.20589133 0.9155303\n",
            "0.20610918 0.9155579\n",
            "0.20632705 0.91555905\n",
            "0.20654492 0.9155515\n",
            "0.20676278 0.91554385\n",
            "0.20698065 0.9155538\n",
            "0.2071985 0.9155812\n",
            "0.20741637 0.9156261\n",
            "0.20763424 0.9156184\n",
            "0.2078521 0.9156544\n",
            "0.20806997 0.91566426\n",
            "0.20828782 0.91566527\n",
            "0.20850569 0.91566634\n",
            "0.20872356 0.9157108\n",
            "0.20894141 0.91572046\n",
            "0.20915928 0.91574746\n",
            "0.20937714 0.9158004\n",
            "0.20959501 0.91585326\n",
            "0.20981288 0.91588867\n",
            "0.21003073 0.915924\n",
            "0.2102486 0.91595066\n",
            "0.21046646 0.91596\n",
            "0.21068433 0.9159866\n",
            "0.2109022 0.91598725\n",
            "0.21112005 0.91591066\n",
            "0.21133792 0.91589427\n",
            "0.21155578 0.9159379\n",
            "0.21177365 0.91597295\n",
            "0.2119915 0.9160164\n",
            "0.21220937 0.9159914\n",
            "0.21242724 0.91599214\n",
            "0.2126451 0.91602695\n",
            "0.21286297 0.9160361\n",
            "0.21308082 0.9160623\n",
            "0.2132987 0.91610545\n",
            "0.21351656 0.9161655\n",
            "0.21373442 0.9161999\n",
            "0.21395229 0.91620886\n",
            "0.21417014 0.9162178\n",
            "0.21438801 0.91622674\n",
            "0.21460588 0.91622716\n",
            "0.21482374 0.9162107\n",
            "0.21504161 0.9162618\n",
            "0.21525946 0.91629595\n",
            "0.21547733 0.9163384\n",
            "0.2156952 0.9163976\n",
            "0.21591306 0.916423\n",
            "0.21613093 0.91644007\n",
            "0.21634878 0.91651577\n",
            "0.21656665 0.91654104\n",
            "0.21678452 0.91654116\n",
            "0.21700238 0.91658306\n",
            "0.21722025 0.91663325\n",
            "0.2174381 0.91665\n",
            "0.21765597 0.91669166\n",
            "0.21787384 0.9167083\n",
            "0.2180917 0.9167166\n",
            "0.21830957 0.9167248\n",
            "0.21852742 0.9167746\n",
            "0.21874529 0.91676617\n",
            "0.21896315 0.91676605\n",
            "0.21918102 0.9167908\n",
            "0.21939889 0.91681546\n",
            "0.21961674 0.91681534\n",
            "0.21983461 0.91682345\n",
            "0.22005247 0.9168398\n",
            "0.22027034 0.9168808\n",
            "0.2204882 0.91691345\n",
            "0.22070606 0.91689676\n",
            "0.22092393 0.9168719\n",
            "0.22114179 0.91685534\n",
            "0.22135966 0.9168715\n",
            "0.22157753 0.9168795\n",
            "0.22179538 0.91688746\n",
            "0.22201325 0.9168873\n",
            "0.2222311 0.9169034\n",
            "0.22244897 0.916895\n",
            "0.22266684 0.91691107\n",
            "0.2228847 0.9168783\n",
            "0.22310257 0.9168943\n",
            "0.22332042 0.91687787\n",
            "0.2235383 0.9169101\n",
            "0.22375616 0.9169099\n",
            "0.22397402 0.9169339\n",
            "0.22419189 0.916966\n",
            "0.22440974 0.9169819\n",
            "0.22462761 0.91700584\n",
            "0.22484548 0.91702163\n",
            "0.22506334 0.9170535\n",
            "0.22528121 0.9170612\n",
            "0.22549906 0.9171091\n",
            "0.22571693 0.9170845\n",
            "0.2259348 0.91709214\n",
            "0.22615266 0.9171158\n",
            "0.22637053 0.9171234\n",
            "0.22658838 0.91713095\n",
            "0.22680625 0.9171385\n",
            "0.22702411 0.91716206\n",
            "0.22724198 0.9171855\n",
            "0.22745985 0.91716903\n",
            "0.2276777 0.91716063\n",
            "0.22789557 0.9171681\n",
            "0.22811343 0.9171915\n",
            "0.2283313 0.9171989\n",
            "0.22854917 0.9172143\n",
            "0.22876702 0.9172376\n",
            "0.22898489 0.9172291\n",
            "0.22920275 0.917276\n",
            "0.22942062 0.9172913\n",
            "0.22963849 0.91725117\n",
            "0.22985634 0.9172585\n",
            "0.23007421 0.9172895\n",
            "0.23029207 0.9173283\n",
            "0.23050994 0.9173592\n",
            "0.2307278 0.9173585\n",
            "0.23094566 0.91733426\n",
            "0.23116353 0.9173729\n",
            "0.23138139 0.9173879\n",
            "0.23159926 0.91739506\n",
            "0.23181713 0.9174335\n",
            "0.23203498 0.917425\n",
            "0.23225285 0.9174399\n",
            "0.2324707 0.91743916\n",
            "0.23268858 0.91737604\n",
            "0.23290645 0.9174377\n",
            "0.2331243 0.9174603\n",
            "0.23334217 0.91744405\n",
            "0.23356003 0.91745883\n",
            "0.2337779 0.91741157\n",
            "0.23399577 0.9174031\n",
            "0.23421362 0.91742563\n",
            "0.23443149 0.91743267\n",
            "0.23464935 0.91744745\n",
            "0.23486722 0.91740036\n",
            "0.23508507 0.91741514\n",
            "0.23530294 0.9174221\n",
            "0.23552081 0.9174137\n",
            "0.23573866 0.91742843\n",
            "0.23595653 0.9174354\n",
            "0.23617439 0.91746545\n",
            "0.23639226 0.91748774\n",
            "0.23661013 0.91746396\n",
            "0.23682798 0.91746324\n",
            "0.23704585 0.9175008\n",
            "0.23726371 0.91750765\n",
            "0.23748158 0.9175145\n",
            "0.23769945 0.91752136\n",
            "0.2379173 0.9175435\n",
            "0.23813517 0.9175807\n",
            "0.23835303 0.917618\n",
            "0.2385709 0.9176551\n",
            "0.23878877 0.9176846\n",
            "0.23900662 0.91773677\n",
            "0.2392245 0.917751\n",
            "0.23944235 0.9177803\n",
            "0.23966022 0.91778684\n",
            "0.23987809 0.9178463\n",
            "0.24009594 0.9179057\n",
            "0.24031381 0.9179574\n",
            "0.24053167 0.91795623\n",
            "0.24074954 0.91794753\n",
            "0.24096741 0.9179615\n",
            "0.24118526 0.9179904\n",
            "0.24140313 0.9180117\n",
            "0.24162099 0.91801804\n",
            "0.24183886 0.9180318\n",
            "0.24205673 0.91807556\n",
            "0.24227458 0.9181117\n",
            "0.24249245 0.9181029\n",
            "0.2427103 0.91811657\n",
            "0.24292818 0.9181452\n",
            "0.24314603 0.9181811\n",
            "0.2433639 0.9182096\n",
            "0.24358177 0.9182529\n",
            "0.24379963 0.91828126\n",
            "0.2440175 0.9183021\n",
            "0.24423535 0.9183304\n",
            "0.24445322 0.9183437\n",
            "0.24467109 0.91834223\n",
            "0.24488895 0.91833335\n",
            "0.24510682 0.9183096\n",
            "0.24532467 0.918286\n",
            "0.24554254 0.918292\n",
            "0.24576041 0.9183053\n",
            "0.24597827 0.91829646\n",
            "0.24619614 0.9183024\n",
            "0.24641399 0.91831565\n",
            "0.24663186 0.9183142\n",
            "0.24684973 0.91832745\n",
            "0.24706759 0.918348\n",
            "0.24728546 0.9183685\n",
            "0.24750331 0.91841835\n",
            "0.24772118 0.9184388\n",
            "0.24793905 0.9184665\n",
            "0.2481569 0.91848683\n",
            "0.24837478 0.9184706\n",
            "0.24859263 0.91849095\n",
            "0.2488105 0.9184456\n",
            "0.24902837 0.91845137\n",
            "0.24924622 0.9185007\n",
            "0.2494641 0.9184991\n",
            "0.24968195 0.9185193\n",
            "0.24989982 0.9185613\n",
            "0.2501177 0.91855234\n",
            "0.25033554 0.91860145\n",
            "0.2505534 0.9185998\n",
            "0.25077128 0.918627\n",
            "0.25098914 0.918647\n",
            "0.251207 0.91865975\n",
            "0.25142488 0.91866523\n",
            "0.25164273 0.9187139\n",
            "0.2518606 0.9187482\n",
            "0.25207844 0.9187608\n",
            "0.25229633 0.918759\n",
            "0.25251418 0.91877156\n",
            "0.25273204 0.91879845\n",
            "0.25294992 0.91881096\n",
            "0.25316778 0.91883063\n",
            "0.25338563 0.91885024\n",
            "0.25360352 0.91889125\n",
            "0.25382137 0.9188965\n",
            "0.25403923 0.91888034\n",
            "0.25425708 0.9188927\n",
            "0.25447497 0.9188979\n",
            "0.25469282 0.9189031\n",
            "0.25491068 0.91891545\n",
            "0.25512856 0.9189349\n",
            "0.25534642 0.91895425\n",
            "0.25556427 0.9189665\n",
            "0.25578213 0.91900706\n",
            "0.256 0.9190193\n",
            "0.25621787 0.91901726\n",
            "0.25643572 0.91907185\n",
            "0.2566536 0.9190981\n",
            "0.25687146 0.91913843\n",
            "0.25708932 0.9191575\n",
            "0.2573072 0.91913426\n",
            "0.25752506 0.9191674\n",
            "0.2577429 0.9192005\n",
            "0.25796077 0.91919833\n",
            "0.25817865 0.91922426\n",
            "0.2583965 0.9192221\n",
            "0.25861436 0.9192691\n",
            "0.25883225 0.9192599\n",
            "0.2590501 0.9192997\n",
            "0.25926796 0.91927654\n",
            "0.25948584 0.9192953\n",
            "0.2597037 0.91932106\n",
            "0.25992155 0.9193328\n",
            "0.2601394 0.9193724\n",
            "0.2603573 0.9194189\n",
            "0.26057515 0.91940266\n",
            "0.260793 0.9193865\n",
            "0.2610109 0.919412\n",
            "0.26122874 0.9194375\n",
            "0.2614466 0.9194421\n",
            "0.26166448 0.9194745\n",
            "0.26188233 0.9195206\n",
            "0.2621002 0.91953903\n",
            "0.26231804 0.9195505\n",
            "0.26253593 0.9195619\n",
            "0.26275378 0.9195526\n",
            "0.26297164 0.919564\n",
            "0.26318952 0.91956854\n",
            "0.26340738 0.91960055\n",
            "0.26362523 0.91963255\n",
            "0.2638431 0.9196782\n",
            "0.26406097 0.9196895\n",
            "0.26427883 0.91972816\n",
            "0.26449668 0.91971195\n",
            "0.26471457 0.91973686\n",
            "0.26493242 0.919748\n",
            "0.26515028 0.9198002\n",
            "0.26536816 0.919825\n",
            "0.26558602 0.91982925\n",
            "0.26580387 0.9198744\n",
            "0.26602173 0.9198786\n",
            "0.2662396 0.9198896\n",
            "0.26645747 0.91992104\n",
            "0.26667532 0.9199456\n",
            "0.2668932 0.9199837\n",
            "0.26711106 0.9199742\n",
            "0.26732892 0.91995114\n",
            "0.2675468 0.91998917\n",
            "0.26776466 0.9200271\n",
            "0.2679825 0.92005146\n",
            "0.26820037 0.9200284\n",
            "0.26841825 0.92006624\n",
            "0.2686361 0.920104\n",
            "0.26885396 0.9201012\n",
            "0.26907185 0.92008495\n",
            "0.2692897 0.9200957\n",
            "0.26950756 0.9200996\n",
            "0.2697254 0.9201103\n",
            "0.2699433 0.92008066\n",
            "0.27016115 0.9200443\n",
            "0.270379 0.9200617\n",
            "0.2705969 0.9200188\n",
            "0.27081475 0.92001605\n",
            "0.2710326 0.9200268\n",
            "0.2712505 0.9200241\n",
            "0.27146834 0.9200548\n",
            "0.2716862 0.9200588\n",
            "0.27190405 0.9200961\n",
            "0.27212194 0.92013335\n",
            "0.2723398 0.9201505\n",
            "0.27255765 0.92018104\n",
            "0.27277553 0.9202048\n",
            "0.2729934 0.9202087\n",
            "0.27321124 0.9202191\n",
            "0.27342913 0.92022955\n",
            "0.27364698 0.92020684\n",
            "0.27386484 0.92019075\n",
            "0.2740827 0.92020124\n",
            "0.27430058 0.9202116\n",
            "0.27451843 0.9202353\n",
            "0.2747363 0.92021924\n",
            "0.27495417 0.9202032\n",
            "0.27517202 0.92023337\n",
            "0.27538988 0.92025036\n",
            "0.27560776 0.9202804\n",
            "0.27582562 0.9202644\n",
            "0.27604347 0.920255\n",
            "0.27626133 0.9202456\n",
            "0.2764792 0.92021656\n",
            "0.27669707 0.92024\n",
            "0.27691492 0.92025024\n",
            "0.2771328 0.9202278\n",
            "0.27735066 0.92021847\n",
            "0.27756852 0.9202353\n",
            "0.27778637 0.9202325\n",
            "0.27800426 0.92022973\n",
            "0.2782221 0.92024\n",
            "0.27843997 0.92026323\n",
            "0.27865785 0.9202995\n",
            "0.2788757 0.9202901\n",
            "0.27909356 0.9203133\n",
            "0.27931145 0.9203105\n",
            "0.2795293 0.92034006\n",
            "0.27974716 0.9203696\n",
            "0.279965 0.9203992\n",
            "0.2801829 0.92038333\n",
            "0.28040075 0.9203804\n",
            "0.2806186 0.92037755\n",
            "0.2808365 0.9203876\n",
            "0.28105435 0.92039764\n",
            "0.2812722 0.9204399\n",
            "0.2814901 0.92044985\n",
            "0.28170794 0.9204727\n",
            "0.2819258 0.9204762\n",
            "0.28214365 0.92049253\n",
            "0.28236154 0.9204832\n",
            "0.2825794 0.92051876\n",
            "0.28279725 0.9205543\n",
            "0.28301513 0.9205705\n",
            "0.283233 0.92056113\n",
            "0.28345084 0.9205773\n",
            "0.28366873 0.9205871\n",
            "0.28388658 0.92061603\n",
            "0.28410444 0.9206513\n",
            "0.2843223 0.92066103\n",
            "0.28454018 0.9206771\n",
            "0.28475803 0.92065495\n",
            "0.2849759 0.9206519\n",
            "0.28519377 0.9206234\n",
            "0.28541163 0.9206331\n",
            "0.28562948 0.9206301\n",
            "0.28584734 0.92062074\n",
            "0.28606522 0.9206241\n",
            "0.28628308 0.92064637\n",
            "0.28650093 0.9206434\n",
            "0.28671882 0.920672\n",
            "0.28693667 0.9206563\n",
            "0.28715453 0.92064065\n",
            "0.2873724 0.92065024\n",
            "0.28759027 0.9206851\n",
            "0.28780812 0.9207073\n",
            "0.28802598 0.92067903\n",
            "0.28824386 0.9206697\n",
            "0.28846171 0.92067295\n",
            "0.28867957 0.9206699\n",
            "0.28889745 0.920692\n",
            "0.2891153 0.92067015\n",
            "0.28933316 0.92067343\n",
            "0.28955105 0.9206767\n",
            "0.2897689 0.9206987\n",
            "0.28998676 0.9207332\n",
            "0.2902046 0.92071766\n",
            "0.2904225 0.92073965\n",
            "0.29064035 0.92077404\n",
            "0.2908582 0.9207585\n",
            "0.2910761 0.9207492\n",
            "0.29129395 0.9207835\n",
            "0.2915118 0.92076796\n",
            "0.2917297 0.9207836\n",
            "0.29194754 0.92079914\n",
            "0.2921654 0.92078984\n",
            "0.29238325 0.9208054\n",
            "0.29260114 0.92082715\n",
            "0.292819 0.92081165\n",
            "0.29303685 0.9208457\n",
            "0.29325473 0.9207931\n",
            "0.2934726 0.9207962\n",
            "0.29369044 0.9207685\n",
            "0.2939083 0.9207407\n",
            "0.29412618 0.92073774\n",
            "0.29434404 0.920784\n",
            "0.2945619 0.92073786\n",
            "0.29477978 0.9207287\n",
            "0.29499763 0.9207442\n",
            "0.2952155 0.9207534\n",
            "0.29543337 0.92075044\n",
            "0.29565123 0.9207781\n",
            "0.29586908 0.92077506\n",
            "0.29608694 0.9207598\n",
            "0.29630482 0.9207384\n",
            "0.29652268 0.92074156\n",
            "0.29674053 0.92076916\n",
            "0.29695842 0.92076004\n",
            "0.29717627 0.92079365\n",
            "0.29739413 0.92076015\n",
            "0.297612 0.9207754\n",
            "0.29782987 0.9207846\n",
            "0.29804772 0.9207877\n",
            "0.29826558 0.92076033\n",
            "0.29848346 0.9207391\n",
            "0.29870132 0.92071795\n",
            "0.29891917 0.92068464\n",
            "0.29913706 0.9206938\n",
            "0.2993549 0.92064846\n",
            "0.29957277 0.9206456\n",
            "0.29979065 0.9206427\n",
            "0.3000085 0.9206519\n",
            "0.30022636 0.92063695\n",
            "0.30044422 0.9206401\n",
            "0.3006621 0.92062515\n",
            "0.30087996 0.9206343\n",
            "0.3010978 0.9206194\n",
            "0.3013157 0.92064667\n",
            "0.30153355 0.9206498\n",
            "0.3017514 0.9206349\n",
            "0.30196926 0.9206621\n",
            "0.30218714 0.9206412\n",
            "0.302405 0.9206024\n",
            "0.30262285 0.9205935\n",
            "0.30284074 0.92061466\n",
            "0.3030586 0.92061186\n",
            "0.30327645 0.92061496\n",
            "0.30349433 0.9206301\n",
            "0.3037122 0.92062724\n",
            "0.30393004 0.92063636\n",
            "0.3041479 0.9206216\n",
            "0.30436578 0.9206068\n",
            "0.30458364 0.9206219\n",
            "0.3048015 0.9206369\n",
            "0.30501938 0.9205924\n",
            "0.30523723 0.92060155\n",
            "0.3054551 0.92057496\n",
            "0.30567297 0.9205781\n",
            "0.30589083 0.92059314\n",
            "0.30610868 0.9206081\n",
            "0.30632654 0.9206053\n",
            "0.30654442 0.9206084\n",
            "0.30676228 0.92061156\n",
            "0.30698013 0.92062056\n",
            "0.30719802 0.92061186\n",
            "0.30741587 0.92062086\n",
            "0.30763373 0.92062396\n",
            "0.3078516 0.9206565\n",
            "0.30806947 0.9206478\n",
            "0.30828732 0.92066264\n",
            "0.30850518 0.92065394\n",
            "0.30872306 0.92062175\n",
            "0.30894092 0.92064834\n",
            "0.30915877 0.9206631\n",
            "0.30937666 0.92064273\n",
            "0.3095945 0.92063993\n",
            "0.30981237 0.9206313\n",
            "0.31003022 0.9206285\n",
            "0.3102481 0.92062575\n",
            "0.31046596 0.92061126\n",
            "0.31068382 0.92061436\n",
            "0.3109017 0.9205941\n",
            "0.31111956 0.92059714\n",
            "0.3113374 0.92055947\n",
            "0.3115553 0.9205742\n",
            "0.31177315 0.9205831\n",
            "0.311991 0.9205629\n",
            "0.31220886 0.92057765\n",
            "0.31242675 0.9205691\n",
            "0.3126446 0.920549\n",
            "0.31286246 0.9205521\n",
            "0.31308034 0.92056674\n",
            "0.3132982 0.9205525\n",
            "0.31351605 0.9205324\n",
            "0.31373394 0.9205413\n",
            "0.3139518 0.9205675\n",
            "0.31416965 0.92057055\n",
            "0.3143875 0.92056787\n",
            "0.31460539 0.920594\n",
            "0.31482324 0.92061436\n",
            "0.3150411 0.92060584\n",
            "0.31525898 0.92060316\n",
            "0.31547683 0.9206119\n",
            "0.3156947 0.9206207\n",
            "0.31591257 0.92062944\n",
            "0.31613043 0.9206439\n",
            "0.31634828 0.92063546\n",
            "0.31656614 0.9206327\n",
            "0.31678402 0.9206529\n",
            "0.31700188 0.920633\n",
            "0.31721973 0.92062455\n",
            "0.31743762 0.9206447\n",
            "0.31765547 0.9206477\n",
            "0.31787333 0.92063355\n",
            "0.31809118 0.92065936\n",
            "0.31830907 0.92063385\n",
            "0.31852692 0.9206197\n",
            "0.31874478 0.9206341\n",
            "0.31896266 0.92065984\n",
            "0.31918052 0.9206685\n",
            "0.31939837 0.92063737\n",
            "0.31961626 0.9206346\n",
            "0.3198341 0.92065465\n",
            "0.32005197 0.92064625\n",
            "0.32026982 0.92057556\n",
            "0.3204877 0.9205899\n",
            "0.32070556 0.92057025\n",
            "0.32092342 0.92056197\n",
            "0.3211413 0.92055935\n",
            "0.32135916 0.92049456\n",
            "0.321577 0.9204412\n",
            "0.3217949 0.92043304\n",
            "0.32201275 0.9204192\n",
            "0.3222306 0.9203604\n",
            "0.32244846 0.9202678\n",
            "0.32266635 0.92027104\n",
            "0.3228842 0.9202686\n",
            "0.32310206 0.920283\n",
            "0.32331994 0.92029744\n",
            "0.3235378 0.9202725\n",
            "0.32375565 0.92027575\n",
            "0.32397354 0.9203013\n",
            "0.3241914 0.9203045\n",
            "0.32440925 0.9203188\n",
            "0.3246271 0.9203443\n",
            "0.324845 0.9203474\n",
            "0.32506284 0.92033935\n",
            "0.3252807 0.9203592\n",
            "0.32549858 0.92037344\n",
            "0.32571644 0.92037654\n",
            "0.3259343 0.9203574\n",
            "0.32615215 0.9203438\n",
            "0.32637003 0.92033577\n",
            "0.3265879 0.92033887\n",
            "0.32680574 0.9203198\n",
            "0.32702363 0.9203395\n",
            "0.32724148 0.92032045\n",
            "0.32745934 0.92033464\n",
            "0.32767722 0.9203488\n",
            "0.32789508 0.9203519\n",
            "0.32811293 0.92036605\n",
            "0.32833079 0.92036915\n",
            "0.32854867 0.9203722\n",
            "0.32876652 0.9203808\n",
            "0.32898438 0.92038935\n",
            "0.32920226 0.9203924\n",
            "0.32942012 0.92039543\n",
            "0.32963797 0.92038196\n",
            "0.32985586 0.9203795\n",
            "0.3300737 0.9203936\n",
            "0.33029157 0.9203966\n",
            "0.33050942 0.9204216\n",
            "0.3307273 0.9203862\n",
            "0.33094516 0.92038375\n",
            "0.33116302 0.9204087\n",
            "0.3313809 0.92042816\n",
            "0.33159876 0.9204531\n",
            "0.3318166 0.9204451\n",
            "0.3320345 0.92046446\n",
            "0.33225235 0.920462\n",
            "0.3324702 0.9204759\n",
            "0.33268806 0.9204734\n",
            "0.33290595 0.9204273\n",
            "0.3331238 0.920414\n",
            "0.33334166 0.92040604\n",
            "0.33355954 0.92043084\n",
            "0.3337774 0.92043924\n",
            "0.33399525 0.92042047\n",
            "0.3342131 0.9204343\n",
            "0.334431 0.92038846\n",
            "0.33464885 0.92041314\n",
            "0.3348667 0.92039984\n",
            "0.3350846 0.9204137\n",
            "0.33530244 0.92040044\n",
            "0.3355203 0.92041963\n",
            "0.33573818 0.9204334\n",
            "0.33595604 0.92043096\n",
            "0.3361739 0.9204447\n",
            "0.33639175 0.9204423\n",
            "0.33660963 0.9204614\n",
            "0.3368275 0.92050207\n",
            "0.33704534 0.92049956\n",
            "0.33726323 0.9205132\n",
            "0.33748108 0.92051077\n",
            "0.33769894 0.92051363\n",
            "0.33791682 0.9204843\n",
            "0.33813468 0.92048186\n",
            "0.33835253 0.92049015\n",
            "0.3385704 0.9204716\n",
            "0.33878827 0.9204852\n",
            "0.33900613 0.9204881\n",
            "0.33922398 0.92049634\n",
            "0.33944187 0.92050993\n",
            "0.33965972 0.9205128\n",
            "0.33987758 0.92051035\n",
            "0.34009546 0.92052925\n",
            "0.34031332 0.9205481\n",
            "0.34053117 0.9205829\n",
            "0.34074903 0.9205644\n",
            "0.3409669 0.9205673\n",
            "0.34118477 0.9205701\n",
            "0.34140262 0.92057294\n",
            "0.3416205 0.92052794\n",
            "0.34183836 0.9205414\n",
            "0.3420562 0.9205655\n",
            "0.34227407 0.9205948\n",
            "0.34249195 0.92061347\n",
            "0.3427098 0.9205898\n",
            "0.34292766 0.92056084\n",
            "0.34314555 0.9205531\n",
            "0.3433634 0.92055064\n",
            "0.34358126 0.92055345\n",
            "0.34379914 0.92053515\n",
            "0.344017 0.92053795\n",
            "0.34423485 0.92054605\n",
            "0.3444527 0.92053837\n",
            "0.3446706 0.9205359\n",
            "0.34488845 0.9205387\n",
            "0.3451063 0.9205521\n",
            "0.3453242 0.9205864\n",
            "0.34554204 0.92060494\n",
            "0.3457599 0.9206077\n",
            "0.34597778 0.92062616\n",
            "0.34619564 0.92064464\n",
            "0.3464135 0.9206579\n",
            "0.34663135 0.9206449\n",
            "0.34684923 0.9206633\n",
            "0.3470671 0.9206608\n",
            "0.34728494 0.9206426\n",
            "0.34750283 0.92067146\n",
            "0.34772068 0.92069507\n",
            "0.34793854 0.9206925\n",
            "0.3481564 0.9207057\n",
            "0.34837428 0.92070836\n",
            "0.34859213 0.9207006\n",
            "0.34881 0.9206877\n",
            "0.34902787 0.9206852\n",
            "0.34924573 0.92069304\n",
            "0.34946358 0.9207165\n",
            "0.34968147 0.92074513\n",
            "0.34989932 0.92075294\n",
            "0.35011718 0.92075044\n",
            "0.35033503 0.92077374\n",
            "0.35055292 0.9207764\n",
            "0.35077077 0.9207687\n",
            "0.35098863 0.9207713\n",
            "0.3512065 0.9207946\n",
            "0.35142437 0.920823\n",
            "0.35164222 0.9208307\n",
            "0.3518601 0.9208385\n",
            "0.35207796 0.92085654\n",
            "0.35229582 0.9208642\n",
            "0.35251367 0.9208719\n",
            "0.35273156 0.92090535\n",
            "0.3529494 0.9208873\n",
            "0.35316727 0.920895\n",
            "0.35338515 0.92087185\n",
            "0.353603 0.92087436\n",
            "0.35382086 0.9208564\n",
            "0.35403875 0.9208795\n",
            "0.3542566 0.9208871\n",
            "0.35447446 0.92089474\n",
            "0.3546923 0.9209075\n",
            "0.3549102 0.92088956\n",
            "0.35512805 0.9208972\n",
            "0.3553459 0.9208742\n",
            "0.3555638 0.92088693\n",
            "0.35578164 0.92086905\n",
            "0.3559995 0.92086136\n",
            "0.35621735 0.9208894\n",
            "0.35643524 0.9208817\n",
            "0.3566531 0.9208435\n",
            "0.35687095 0.9208308\n",
            "0.35708883 0.9207876\n",
            "0.3573067 0.9207699\n",
            "0.35752454 0.92075723\n",
            "0.35774243 0.9207344\n",
            "0.35796028 0.9207066\n",
            "0.35817814 0.9207345\n",
            "0.358396 0.92072195\n",
            "0.35861388 0.92065877\n",
            "0.35883173 0.9206513\n",
            "0.3590496 0.920664\n",
            "0.35926747 0.9206616\n",
            "0.35948533 0.9206743\n",
            "0.35970318 0.92067695\n",
            "0.35992107 0.9206392\n",
            "0.36013892 0.9205814\n",
            "0.36035678 0.92060924\n",
            "0.36057463 0.92058676\n",
            "0.36079252 0.92060953\n",
            "0.36101037 0.9206423\n",
            "0.36122823 0.92065\n",
            "0.3614461 0.92063755\n",
            "0.36166397 0.92063016\n",
            "0.36188182 0.9206127\n",
            "0.3620997 0.92061037\n",
            "0.36231756 0.920638\n",
            "0.36253542 0.9206206\n",
            "0.36275327 0.92059827\n",
            "0.36297116 0.9205709\n",
            "0.363189 0.92057353\n",
            "0.36340687 0.92058617\n",
            "0.36362475 0.92055386\n",
            "0.3638426 0.92051166\n",
            "0.36406046 0.9204795\n",
            "0.36427832 0.9204323\n",
            "0.3644962 0.9204351\n",
            "0.36471406 0.9204577\n",
            "0.3649319 0.9204306\n",
            "0.3651498 0.9203786\n",
            "0.36536765 0.9203218\n",
            "0.3655855 0.92027\n",
            "0.3658034 0.9202381\n",
            "0.36602125 0.92022604\n",
            "0.3662391 0.92023385\n",
            "0.36645696 0.9201773\n",
            "0.36667484 0.92018014\n",
            "0.3668927 0.9201731\n",
            "0.36711055 0.9201809\n",
            "0.36732844 0.92017883\n",
            "0.3675463 0.9201323\n",
            "0.36776415 0.9200809\n",
            "0.36798203 0.92008877\n",
            "0.36819988 0.9200917\n",
            "0.36841774 0.92005026\n",
            "0.3686356 0.92000395\n",
            "0.36885348 0.9200167\n",
            "0.36907133 0.9200049\n",
            "0.3692892 0.91998327\n",
            "0.36950707 0.9199175\n",
            "0.36972493 0.9198469\n",
            "0.36994278 0.91986954\n",
            "0.37016067 0.91985786\n",
            "0.37037852 0.91985106\n",
            "0.37059638 0.9198443\n",
            "0.37081423 0.91976416\n",
            "0.37103212 0.9197183\n",
            "0.37124997 0.91971654\n",
            "0.37146783 0.91971964\n",
            "0.3716857 0.9196934\n",
            "0.37190357 0.9196819\n",
            "0.37212142 0.9196265\n",
            "0.37233928 0.91962963\n",
            "0.37255716 0.9196084\n",
            "0.37277502 0.91961646\n",
            "0.37299287 0.91961473\n",
            "0.37321076 0.9195936\n",
            "0.3734286 0.919621\n",
            "0.37364647 0.91961443\n",
            "0.37386435 0.91963696\n",
            "0.3740822 0.91964006\n",
            "0.37430006 0.9196723\n",
            "0.37451792 0.9196899\n",
            "0.3747358 0.91968817\n",
            "0.37495366 0.91971546\n",
            "0.3751715 0.91972333\n",
            "0.3753894 0.9197361\n",
            "0.37560725 0.9197198\n",
            "0.3758251 0.919718\n",
            "0.376043 0.91972107\n",
            "0.37626085 0.91971934\n",
            "0.3764787 0.91971755\n",
            "0.37669656 0.9197399\n",
            "0.37691444 0.91975254\n",
            "0.3771323 0.919746\n",
            "0.37735015 0.91974896\n",
            "0.37756804 0.9197424\n",
            "0.3777859 0.9197502\n",
            "0.37800375 0.91974366\n",
            "0.37822163 0.9197563\n",
            "0.3784395 0.91976887\n",
            "0.37865734 0.91975754\n",
            "0.3788752 0.9197605\n",
            "0.37909308 0.9197779\n",
            "0.37931094 0.91976655\n",
            "0.3795288 0.91972655\n",
            "0.37974668 0.91972953\n",
            "0.37996453 0.91970867\n",
            "0.3801824 0.91972125\n",
            "0.38040024 0.91974336\n",
            "0.38061813 0.9197607\n",
            "0.38083598 0.9197732\n",
            "0.38105384 0.9197762\n",
            "0.38127172 0.91978395\n",
            "0.38148957 0.91978693\n",
            "0.38170743 0.91978514\n",
            "0.3819253 0.91979283\n",
            "0.38214317 0.9198006\n",
            "0.38236102 0.9197988\n",
            "0.38257888 0.919797\n",
            "0.38279676 0.91981417\n",
            "0.38301462 0.9198077\n",
            "0.38323247 0.9198106\n",
            "0.38345036 0.9198136\n",
            "0.3836682 0.919826\n",
            "0.38388607 0.91981\n",
            "0.38410395 0.9198224\n",
            "0.3843218 0.9198206\n",
            "0.38453966 0.9198424\n",
            "0.38475752 0.91985476\n",
            "0.3849754 0.9198577\n",
            "0.38519326 0.91986054\n",
            "0.3854111 0.91986346\n",
            "0.385629 0.919824\n",
            "0.38584685 0.9198175\n",
            "0.3860647 0.91982985\n",
            "0.3862826 0.91983277\n",
            "0.38650045 0.9198216\n",
            "0.3867183 0.9198151\n",
            "0.38693616 0.91981804\n",
            "0.38715404 0.91982096\n",
            "0.3873719 0.91983795\n",
            "0.38758975 0.9198174\n",
            "0.38780764 0.9197876\n",
            "0.3880255 0.9197858\n",
            "0.38824335 0.9197887\n",
            "0.3884612 0.9197543\n",
            "0.3886791 0.9197386\n",
            "0.38889694 0.91974616\n",
            "0.3891148 0.9197165\n",
            "0.38933268 0.9197241\n",
            "0.38955054 0.91970843\n",
            "0.3897684 0.9197067\n",
            "0.38998628 0.9196817\n",
            "0.39020413 0.91967076\n",
            "0.390422 0.9196691\n",
            "0.39063984 0.9196488\n",
            "0.39085773 0.91964716\n",
            "0.39107558 0.9196316\n",
            "0.39129344 0.91962993\n",
            "0.39151132 0.91960514\n",
            "0.39172918 0.91956645\n",
            "0.39194703 0.9195602\n",
            "0.39216492 0.91955394\n",
            "0.39238277 0.9195801\n",
            "0.39260063 0.9195646\n",
            "0.39281848 0.9195584\n",
            "0.39303637 0.9195753\n",
            "0.39325422 0.91959673\n",
            "0.39347208 0.9195905\n",
            "0.39368996 0.9195981\n",
            "0.39390782 0.9196057\n",
            "0.39412567 0.9195764\n",
            "0.39434355 0.91958404\n",
            "0.3945614 0.9195732\n",
            "0.39477926 0.91954863\n",
            "0.39499712 0.919547\n",
            "0.395215 0.9194949\n",
            "0.39543286 0.91949797\n",
            "0.3956507 0.9195056\n",
            "0.3958686 0.91949946\n",
            "0.39608645 0.91946584\n",
            "0.3963043 0.919446\n",
            "0.39652216 0.91943985\n",
            "0.39674005 0.91942465\n",
            "0.3969579 0.91938657\n",
            "0.39717576 0.9193896\n",
            "0.39739364 0.91939723\n",
            "0.3976115 0.9193866\n",
            "0.39782935 0.9193715\n",
            "0.39804724 0.9193654\n",
            "0.3982651 0.91938215\n",
            "0.39848295 0.91938066\n",
            "0.3987008 0.9193929\n",
            "0.3989187 0.9193959\n",
            "0.39913654 0.9194308\n",
            "0.3993544 0.919452\n",
            "0.39957228 0.9194505\n",
            "0.39979014 0.91943085\n",
            "0.400008 0.91944295\n",
            "0.40022588 0.91945046\n",
            "0.40044373 0.9194263\n",
            "0.4006616 0.91942936\n",
            "0.40087944 0.9194143\n",
            "0.40109733 0.91940373\n",
            "0.40131518 0.9194068\n",
            "0.40153304 0.9193872\n",
            "0.40175092 0.9193722\n",
            "0.40196878 0.9193888\n",
            "0.40218663 0.91936475\n",
            "0.40240452 0.9193723\n",
            "0.40262237 0.9193573\n",
            "0.40284023 0.91934234\n",
            "0.40305808 0.9193229\n",
            "0.40327597 0.9193215\n",
            "0.40349382 0.9192975\n",
            "0.40371168 0.91926914\n",
            "0.40392956 0.91925424\n",
            "0.40414742 0.9192619\n",
            "0.40436527 0.9192829\n",
            "0.40458313 0.919277\n",
            "0.404801 0.9192622\n",
            "0.40501887 0.91924286\n",
            "0.40523672 0.9192459\n",
            "0.4054546 0.9192222\n",
            "0.40567246 0.9192387\n",
            "0.40589032 0.9192507\n",
            "0.4061082 0.9192538\n",
            "0.40632606 0.91926134\n",
            "0.4065439 0.91926444\n",
            "0.40676177 0.9192586\n",
            "0.40697965 0.91925716\n",
            "0.4071975 0.91929144\n",
            "0.40741536 0.9192856\n",
            "0.40763324 0.91927975\n",
            "0.4078511 0.9192783\n",
            "0.40806895 0.9192947\n",
            "0.40828684 0.91929775\n",
            "0.4085047 0.91930526\n",
            "0.40872255 0.9193127\n",
            "0.4089404 0.9193069\n",
            "0.4091583 0.9193277\n",
            "0.40937614 0.9192908\n",
            "0.409594 0.91926724\n",
            "0.40981188 0.9192614\n",
            "0.41002974 0.9192423\n",
            "0.4102476 0.91925424\n",
            "0.41046548 0.91926616\n",
            "0.41068333 0.919225\n",
            "0.4109012 0.9192281\n",
            "0.41111904 0.9192355\n",
            "0.41133693 0.91923857\n",
            "0.41155478 0.9191711\n",
            "0.41177264 0.91916096\n",
            "0.41199052 0.9191376\n",
            "0.41220838 0.9191231\n",
            "0.41242623 0.9190954\n",
            "0.4126441 0.9190941\n",
            "0.41286197 0.9191104\n",
            "0.41307983 0.9191179\n",
            "0.41329768 0.91910344\n",
            "0.41351557 0.9191197\n",
            "0.41373342 0.9191053\n",
            "0.41395128 0.9190952\n",
            "0.41416916 0.9191071\n",
            "0.41438702 0.91910577\n",
            "0.41460487 0.9191133\n",
            "0.41482273 0.9191164\n",
            "0.4150406 0.9191194\n",
            "0.41525847 0.9191269\n",
            "0.41547632 0.9191343\n",
            "0.4156942 0.9191287\n",
            "0.41591206 0.91912305\n",
            "0.41612992 0.91913486\n",
            "0.4163478 0.9190987\n",
            "0.41656566 0.9191105\n",
            "0.4167835 0.9191048\n",
            "0.41700137 0.9191079\n",
            "0.41721925 0.9190936\n",
            "0.4174371 0.9190967\n",
            "0.41765496 0.9191128\n",
            "0.41787285 0.91910285\n",
            "0.4180907 0.9190929\n",
            "0.41830856 0.9190786\n",
            "0.4185264 0.91909033\n",
            "0.4187443 0.91909343\n",
            "0.41896215 0.91907054\n",
            "0.41918 0.91906494\n",
            "0.4193979 0.91906804\n",
            "0.41961575 0.9190495\n",
            "0.4198336 0.9190742\n",
            "0.4200515 0.9190729\n",
            "0.42026934 0.9190803\n",
            "0.4204872 0.91907907\n",
            "0.42070505 0.9190649\n",
            "0.42092294 0.9190636\n",
            "0.4211408 0.9190796\n",
            "0.42135864 0.91906977\n",
            "0.42157653 0.91908574\n",
            "0.42179438 0.9190888\n",
            "0.42201224 0.91910046\n",
            "0.42223012 0.9190949\n",
            "0.42244798 0.91909796\n",
            "0.42266583 0.9191053\n",
            "0.4228837 0.91910404\n",
            "0.42310157 0.9190985\n",
            "0.42331943 0.91908437\n",
            "0.42353728 0.91907024\n",
            "0.42375517 0.91906905\n",
            "0.42397302 0.9190721\n",
            "0.42419088 0.9190794\n",
            "0.42440876 0.91906106\n",
            "0.42462662 0.919047\n",
            "0.42484447 0.91907567\n",
            "0.42506233 0.91908723\n",
            "0.4252802 0.91908175\n",
            "0.42549807 0.9190976\n",
            "0.42571592 0.91909206\n",
            "0.4259338 0.9191036\n",
            "0.42615166 0.9191024\n",
            "0.42636952 0.91908836\n",
            "0.42658737 0.91906583\n",
            "0.42680526 0.91906464\n",
            "0.4270231 0.91904217\n",
            "0.42724097 0.9190197\n",
            "0.42745885 0.9190185\n",
            "0.4276767 0.9190258\n",
            "0.42789456 0.91900766\n",
            "0.42811245 0.9190276\n",
            "0.4283303 0.9190349\n",
            "0.42854816 0.91901255\n",
            "0.428766 0.91901135\n",
            "0.4289839 0.91899323\n",
            "0.42920175 0.9189878\n",
            "0.4294196 0.91899085\n",
            "0.4296375 0.9189939\n",
            "0.42985535 0.9189885\n",
            "0.4300732 0.91900843\n",
            "0.4302911 0.91899884\n",
            "0.43050894 0.91899765\n",
            "0.4307268 0.91900486\n",
            "0.43094465 0.91902053\n",
            "0.43116254 0.91901934\n",
            "0.4313804 0.91901815\n",
            "0.43159825 0.91900855\n",
            "0.43181613 0.9190158\n",
            "0.432034 0.9189936\n",
            "0.43225184 0.91898406\n",
            "0.43246973 0.9189871\n",
            "0.43268758 0.9189985\n",
            "0.43290544 0.91900986\n",
            "0.4331233 0.9190213\n",
            "0.43334118 0.9190327\n",
            "0.43355903 0.919044\n",
            "0.4337769 0.91901773\n",
            "0.43399477 0.9190333\n",
            "0.43421263 0.9190279\n",
            "0.43443048 0.91902256\n",
            "0.43464833 0.9190422\n",
            "0.43486622 0.9190452\n",
            "0.43508407 0.91905236\n",
            "0.43530193 0.9190512\n",
            "0.4355198 0.9190458\n",
            "0.43573767 0.91905296\n",
            "0.43595552 0.9190601\n",
            "0.4361734 0.9190714\n",
            "0.43639126 0.919066\n",
            "0.43660912 0.9190648\n",
            "0.43682697 0.9190844\n",
            "0.43704486 0.91908735\n",
            "0.4372627 0.9190654\n",
            "0.43748057 0.91908497\n",
            "0.43769845 0.91905886\n",
            "0.4379163 0.9190701\n",
            "0.43813416 0.9190358\n",
            "0.43835205 0.91900975\n",
            "0.4385699 0.9190003\n",
            "0.43878776 0.9189992\n",
            "0.4390056 0.9189773\n",
            "0.4392235 0.91898036\n",
            "0.43944135 0.91896677\n",
            "0.4396592 0.9189863\n",
            "0.4398771 0.9189893\n",
            "0.44009495 0.9189964\n",
            "0.4403128 0.9189911\n",
            "0.4405307 0.9189982\n",
            "0.44074854 0.91899294\n",
            "0.4409664 0.91899586\n",
            "0.44118425 0.91900295\n",
            "0.44140214 0.9189936\n",
            "0.44162 0.9190007\n",
            "0.44183785 0.9189502\n",
            "0.44205573 0.918945\n",
            "0.4422736 0.9189439\n",
            "0.44249144 0.918955\n",
            "0.4427093 0.91893345\n",
            "0.44292718 0.9189446\n",
            "0.44314504 0.91889846\n",
            "0.4433629 0.918926\n",
            "0.44358078 0.918929\n",
            "0.44379863 0.9189238\n",
            "0.4440165 0.9189104\n",
            "0.44423437 0.91892976\n",
            "0.44445223 0.9189164\n",
            "0.44467008 0.9189112\n",
            "0.44488794 0.9189346\n",
            "0.44510582 0.9189172\n",
            "0.44532368 0.91892827\n",
            "0.44554153 0.9189394\n",
            "0.44575942 0.9189342\n",
            "0.44597727 0.91894126\n",
            "0.44619513 0.9189442\n",
            "0.446413 0.91896343\n",
            "0.44663087 0.9189786\n",
            "0.44684872 0.91896117\n",
            "0.44706658 0.9189519\n",
            "0.44728446 0.91895086\n",
            "0.44750232 0.9189538\n",
            "0.44772017 0.91896075\n",
            "0.44793805 0.9189718\n",
            "0.4481559 0.9189626\n",
            "0.44837376 0.9189372\n",
            "0.44859165 0.9189361\n",
            "0.4488095 0.9189471\n",
            "0.44902736 0.9189379\n",
            "0.4492452 0.91896105\n",
            "0.4494631 0.918968\n",
            "0.44968095 0.91899115\n",
            "0.4498988 0.91899\n",
            "0.4501167 0.919001\n",
            "0.45033455 0.91900384\n",
            "0.4505524 0.91899467\n",
            "0.45077026 0.91900164\n",
            "0.45098814 0.91898036\n",
            "0.451206 0.9189994\n",
            "0.45142385 0.91899824\n",
            "0.45164174 0.91900516\n",
            "0.4518596 0.91898793\n",
            "0.45207745 0.9190069\n",
            "0.45229533 0.91900575\n",
            "0.4525132 0.91901666\n",
            "0.45273104 0.91901153\n",
            "0.4529489 0.9190144\n",
            "0.45316678 0.91900927\n",
            "0.45338464 0.91902417\n",
            "0.4536025 0.91901106\n",
            "0.45382038 0.9190179\n",
            "0.45403823 0.91902876\n",
            "0.4542561 0.9190396\n",
            "0.45447397 0.9190225\n",
            "0.45469183 0.91903734\n",
            "0.45490968 0.9190442\n",
            "0.45512754 0.919063\n",
            "0.45534542 0.91906583\n",
            "0.45556328 0.9190846\n",
            "0.45578113 0.9190835\n",
            "0.45599902 0.9191062\n",
            "0.45621687 0.9190891\n",
            "0.45643473 0.91910386\n",
            "0.4566526 0.91911066\n",
            "0.45687047 0.91909754\n",
            "0.45708832 0.91907257\n",
            "0.45730618 0.9190635\n",
            "0.45752406 0.9190703\n",
            "0.45774192 0.9190612\n",
            "0.45795977 0.9190759\n",
            "0.45817766 0.91908664\n",
            "0.4583955 0.9190895\n",
            "0.45861337 0.91909623\n",
            "0.45883122 0.91906345\n",
            "0.4590491 0.91906625\n",
            "0.45926696 0.91903746\n",
            "0.45948482 0.9189652\n",
            "0.4597027 0.91896415\n",
            "0.45992056 0.9189828\n",
            "0.4601384 0.9189817\n",
            "0.4603563 0.91894513\n",
            "0.46057415 0.918948\n",
            "0.460792 0.91895086\n",
            "0.46100986 0.9189655\n",
            "0.46122774 0.9189487\n",
            "0.4614456 0.91894764\n",
            "0.46166345 0.91894263\n",
            "0.46188134 0.9189533\n",
            "0.4620992 0.91895616\n",
            "0.46231705 0.9189551\n",
            "0.46253493 0.9189501\n",
            "0.4627528 0.918949\n",
            "0.46297064 0.9189558\n",
            "0.4631885 0.91898215\n",
            "0.46340638 0.91897714\n",
            "0.46362424 0.9189917\n",
            "0.4638421 0.91899455\n",
            "0.46405998 0.91898954\n",
            "0.46427783 0.91895324\n",
            "0.4644957 0.9189483\n",
            "0.46471357 0.918955\n",
            "0.46493143 0.91896564\n",
            "0.46514928 0.9189685\n",
            "0.46536714 0.918983\n",
            "0.46558502 0.9189702\n",
            "0.46580288 0.9189458\n",
            "0.46602073 0.91893303\n",
            "0.46623862 0.9189203\n",
            "0.46645647 0.9188959\n",
            "0.46667433 0.91889876\n",
            "0.46689218 0.9188938\n",
            "0.46711007 0.9188967\n",
            "0.46732792 0.9188801\n",
            "0.46754578 0.91887903\n",
            "0.46776366 0.91887414\n",
            "0.46798152 0.91885763\n",
            "0.46819937 0.91886824\n",
            "0.46841726 0.9188749\n",
            "0.4686351 0.9188855\n",
            "0.46885297 0.9188845\n",
            "0.46907082 0.9188796\n",
            "0.4692887 0.91889405\n",
            "0.46950656 0.91889685\n",
            "0.46972442 0.9188843\n",
            "0.4699423 0.9188601\n",
            "0.47016016 0.9188552\n",
            "0.470378 0.91883874\n",
            "0.4705959 0.9188107\n",
            "0.47081375 0.918802\n",
            "0.4710316 0.9187933\n",
            "0.47124946 0.9187962\n",
            "0.47146735 0.9187991\n",
            "0.4716852 0.9187981\n",
            "0.47190306 0.91880095\n",
            "0.47212094 0.9188077\n",
            "0.4723388 0.9188067\n",
            "0.47255665 0.91881335\n",
            "0.47277454 0.9188085\n",
            "0.4729924 0.9187999\n",
            "0.47321025 0.91879123\n",
            "0.4734281 0.9187673\n",
            "0.473646 0.91876626\n",
            "0.47386384 0.9187577\n",
            "0.4740817 0.91876817\n",
            "0.47429958 0.9187672\n",
            "0.47451743 0.9187471\n",
            "0.4747353 0.9187576\n",
            "0.47495314 0.9187338\n",
            "0.47517103 0.91873664\n",
            "0.47538888 0.91872424\n",
            "0.47560674 0.9187462\n",
            "0.47582462 0.9187376\n",
            "0.47604248 0.91873664\n",
            "0.47626033 0.9187319\n",
            "0.47647822 0.91872334\n",
            "0.47669607 0.9187262\n",
            "0.47691393 0.91870624\n",
            "0.47713178 0.9187167\n",
            "0.47734967 0.918731\n",
            "0.47756752 0.91873\n",
            "0.47778538 0.9187139\n",
            "0.47800326 0.9187168\n",
            "0.47822112 0.9186893\n",
            "0.47843897 0.9186922\n",
            "0.47865686 0.9186988\n",
            "0.4788747 0.9187093\n",
            "0.47909257 0.9187197\n",
            "0.47931042 0.9187036\n",
            "0.4795283 0.9187027\n",
            "0.47974616 0.91866773\n",
            "0.47996402 0.9186706\n",
            "0.4801819 0.918647\n",
            "0.48039976 0.9186574\n",
            "0.4806176 0.9186452\n",
            "0.4808355 0.91864055\n",
            "0.48105335 0.9186359\n",
            "0.4812712 0.9186501\n",
            "0.48148906 0.91865295\n",
            "0.48170695 0.9186633\n",
            "0.4819248 0.91868126\n",
            "0.48214266 0.9186992\n",
            "0.48236054 0.9186757\n",
            "0.4825784 0.91868985\n",
            "0.48279625 0.91869265\n",
            "0.4830141 0.918703\n",
            "0.483232 0.9187134\n",
            "0.48344985 0.91871244\n",
            "0.4836677 0.9187003\n",
            "0.4838856 0.9187069\n",
            "0.48410344 0.918691\n",
            "0.4843213 0.9186938\n",
            "0.48453918 0.9186929\n",
            "0.48475704 0.9187032\n",
            "0.4849749 0.9186948\n",
            "0.48519275 0.91870135\n",
            "0.48541063 0.9186967\n",
            "0.4856285 0.91871077\n",
            "0.48584634 0.9186949\n",
            "0.48606423 0.91870147\n",
            "0.48628208 0.9186856\n",
            "0.48649994 0.91868097\n",
            "0.48671782 0.91869503\n",
            "0.48693568 0.9186792\n",
            "0.48715353 0.91869694\n",
            "0.48737139 0.918696\n",
            "0.48758927 0.9187137\n",
            "0.48780712 0.9187165\n",
            "0.48802498 0.91872674\n",
            "0.48824286 0.91872215\n",
            "0.48846072 0.91873235\n",
            "0.48867857 0.9187426\n",
            "0.48889646 0.91871935\n",
            "0.4891143 0.9187333\n",
            "0.48933217 0.9187324\n",
            "0.48955002 0.91872406\n",
            "0.4897679 0.91872686\n",
            "0.48998576 0.9187296\n",
            "0.49020362 0.9187361\n",
            "0.4904215 0.9187315\n",
            "0.49063936 0.91872686\n",
            "0.4908572 0.9187149\n",
            "0.49107507 0.9186992\n",
            "0.49129295 0.9186983\n",
            "0.4915108 0.9186937\n",
            "0.49172866 0.91870016\n",
            "0.49194655 0.91868454\n",
            "0.4921644 0.91866887\n",
            "0.49238226 0.91868275\n",
            "0.49260014 0.9187076\n",
            "0.492818 0.918703\n",
            "0.49303585 0.9187132\n",
            "0.4932537 0.91871965\n",
            "0.4934716 0.91870034\n",
            "0.49368945 0.91871417\n",
            "0.4939073 0.9187243\n",
            "0.4941252 0.9187344\n",
            "0.49434304 0.9187408\n",
            "0.4945609 0.91874725\n",
            "0.49477878 0.9187317\n",
            "0.49499664 0.91874176\n",
            "0.4952145 0.9187408\n",
            "0.49543235 0.91875094\n",
            "0.49565023 0.9187793\n",
            "0.4958681 0.9187747\n",
            "0.49608594 0.9187811\n",
            "0.49630383 0.91878015\n",
            "0.49652168 0.91877925\n",
            "0.49673954 0.91877466\n",
            "0.4969574 0.9187883\n",
            "0.49717528 0.9187984\n",
            "0.49739313 0.91879016\n",
            "0.497611 0.9187965\n",
            "0.49782887 0.9187701\n",
            "0.49804673 0.91874725\n",
            "0.49826458 0.91875726\n",
            "0.49848247 0.9187491\n",
            "0.49870032 0.91875184\n",
            "0.49891818 0.9187509\n",
            "0.49913603 0.9187609\n",
            "0.49935392 0.91876\n",
            "0.49957177 0.91876996\n",
            "0.49978963 0.9187618\n",
            "0.5000075 0.925\n",
            "0.50022537 0.9375\n",
            "0.5004432 0.93333334\n",
            "0.5006611 0.9270833\n",
            "0.50087893 0.925\n",
            "0.50109684 0.9236111\n",
            "0.5013147 0.92142856\n",
            "0.50153255 0.91979164\n",
            "0.5017504 0.9212963\n",
            "0.50196826 0.92083335\n",
            "0.5021861 0.92045456\n",
            "0.502404 0.91736114\n",
            "0.5026219 0.9173077\n",
            "0.50283974 0.91785717\n",
            "0.5030576 0.9138889\n",
            "0.50327545 0.9135417\n",
            "0.5034933 0.9147059\n",
            "0.50371116 0.9111111\n",
            "0.5039291 0.9092105\n",
            "0.50414693 0.90958333\n",
            "0.5043648 0.91071427\n",
            "0.50458264 0.9109849\n",
            "0.5048005 0.907971\n",
            "0.50501835 0.90729165\n",
            "0.5052362 0.9076667\n",
            "0.5054541 0.9099359\n",
            "0.505672 0.90833336\n",
            "0.50588983 0.9050595\n",
            "0.5061077 0.9031609\n",
            "0.50632554 0.9047222\n",
            "0.5065434 0.90672046\n",
            "0.50676125 0.9057292\n",
            "0.50697917 0.9040404\n",
            "0.507197 0.9046569\n",
            "0.5074149 0.90619045\n",
            "0.50763273 0.90694445\n",
            "0.5078506 0.90833336\n",
            "0.50806844 0.90942985\n",
            "0.5082863 0.9094017\n",
            "0.5085042 0.90979165\n",
            "0.50872207 0.9101626\n",
            "0.5089399 0.91071427\n",
            "0.5091578 0.91124034\n",
            "0.50937563 0.911553\n",
            "0.5095935 0.9122222\n",
            "0.5098114 0.9128623\n",
            "0.51002926 0.91347516\n",
            "0.5102471 0.9140625\n",
            "0.51046497 0.91360545\n",
            "0.5106828 0.91316664\n",
            "0.5109007 0.9129085\n",
            "0.51111853 0.91346157\n",
            "0.51133645 0.91336477\n",
            "0.5115543 0.9134259\n",
            "0.51177216 0.91333336\n",
            "0.51199 0.91324407\n",
            "0.51220787 0.9138889\n",
            "0.5124257 0.91422415\n",
            "0.5126436 0.9141243\n",
            "0.5128615 0.9145833\n",
            "0.51307935 0.91543716\n",
            "0.5132972 0.9150538\n",
            "0.51351506 0.91455024\n",
            "0.5137329 0.91419274\n",
            "0.51395077 0.914359\n",
            "0.5141686 0.91515154\n",
            "0.51438653 0.9151741\n",
            "0.5146044 0.9155637\n",
            "0.51482224 0.9157005\n",
            "0.5150401 0.91571426\n",
            "0.51525795 0.9161972\n",
            "0.5154758 0.9155093\n",
            "0.5156937 0.9152968\n",
            "0.5159116 0.9154279\n",
            "0.51612943 0.9148889\n",
            "0.5163473 0.9148026\n",
            "0.51656514 0.9150433\n",
            "0.516783 0.9148504\n",
            "0.51700085 0.9148734\n",
            "0.51721877 0.91489583\n",
            "0.5174366 0.9150206\n",
            "0.5176545 0.91463417\n",
            "0.51787233 0.91405624\n",
            "0.5180902 0.9137897\n",
            "0.51830804 0.91313726\n",
            "0.5185259 0.9132752\n",
            "0.5187438 0.91226053\n",
            "0.51896167 0.9124053\n",
            "0.5191795 0.91235954\n",
            "0.5193974 0.9125926\n",
            "0.51961523 0.9129121\n",
            "0.5198331 0.91322464\n",
            "0.520051 0.91317207\n",
            "0.52026886 0.91347516\n",
            "0.5204867 0.9136842\n",
            "0.52070457 0.9138021\n",
            "0.5209224 0.91391754\n",
            "0.5211403 0.91420066\n",
            "0.52135813 0.9145623\n",
            "0.52157605 0.91425\n",
            "0.5217939 0.91468644\n",
            "0.52201176 0.9142974\n",
            "0.5222296 0.914644\n",
            "0.52244747 0.9147436\n",
            "0.5226653 0.9147619\n",
            "0.5228832 0.9147013\n",
            "0.5231011 0.9147975\n",
            "0.52331895 0.91481483\n",
            "0.5235368 0.9146789\n",
            "0.52375466 0.9148485\n",
            "0.5239725 0.9147898\n",
            "0.52419037 0.9149554\n",
            "0.5244082 0.91467553\n",
            "0.52462614 0.9149123\n",
            "0.524844 0.9145652\n",
            "0.52506185 0.9143678\n",
            "0.5252797 0.91431624\n",
            "0.52549756 0.9142655\n",
            "0.5257154 0.9137255\n",
            "0.5259333 0.9135417\n",
            "0.5261512 0.913292\n",
            "0.52636904 0.9131147\n",
            "0.5265869 0.9129404\n",
            "0.52680475 0.91290325\n",
            "0.5270226 0.913\n",
            "0.52724046 0.9128968\n",
            "0.52745837 0.91312337\n",
            "0.5276762 0.9135417\n",
            "0.5278941 0.9129199\n",
            "0.52811193 0.9127564\n",
            "0.5283298 0.9130407\n",
            "0.52854764 0.91294193\n",
            "0.5287655 0.9133459\n",
            "0.5289834 0.91337067\n",
            "0.52920127 0.91339505\n",
            "0.5294191 0.9134191\n",
            "0.529637 0.913382\n",
            "0.52985483 0.913587\n",
            "0.5300727 0.913789\n",
            "0.53029054 0.91375\n",
            "0.53050846 0.9136525\n",
            "0.5307263 0.91379106\n",
            "0.53094417 0.91386944\n",
            "0.531162 0.91394675\n",
            "0.5313799 0.91390806\n",
            "0.53159773 0.91386986\n",
            "0.53181565 0.91309524\n",
            "0.5320335 0.91306305\n",
            "0.53225136 0.91291946\n",
            "0.5324692 0.91316664\n",
            "0.53268707 0.9130243\n",
            "0.5329049 0.91299343\n",
            "0.5331228 0.9130719\n",
            "0.5333407 0.91314936\n",
            "0.53355855 0.9132258\n",
            "0.5337764 0.9132479\n",
            "0.53399426 0.9133758\n",
            "0.5342121 0.9133439\n",
            "0.53442997 0.913522\n",
            "0.5346478 0.9136458\n",
            "0.53486574 0.9136646\n",
            "0.5350836 0.9139403\n",
            "0.53530145 0.9141104\n",
            "0.5355193 0.91412604\n",
            "0.53573716 0.91429293\n",
            "0.535955 0.9143574\n",
            "0.53617287 0.91442114\n",
            "0.5363908 0.91468257\n",
            "0.53660864 0.9147436\n",
            "0.5368265 0.9148529\n",
            "0.53704435 0.9148635\n",
            "0.5372622 0.9149225\n",
            "0.53748006 0.91512525\n",
            "0.537698 0.91532564\n",
            "0.5379158 0.91514283\n",
            "0.5381337 0.9149148\n",
            "0.53835154 0.9149247\n",
            "0.5385694 0.91465354\n",
            "0.53878725 0.91461825\n",
            "0.5390051 0.9147222\n",
            "0.539223 0.9143186\n",
            "0.5394409 0.91423994\n",
            "0.5396587 0.91411656\n",
            "0.5398766 0.91408515\n",
            "0.54009444 0.913964\n",
            "0.5403123 0.9140681\n",
            "0.54053015 0.9140374\n",
            "0.54074806 0.9138741\n",
            "0.5409659 0.9139771\n",
            "0.54118377 0.9136404\n",
            "0.5414016 0.9136562\n",
            "0.5416195 0.91367185\n",
            "0.54183733 0.9136442\n",
            "0.54205525 0.9131014\n",
            "0.5422731 0.91192305\n",
            "0.54249096 0.91135204\n",
            "0.5427088 0.9112944\n",
            "0.54292667 0.9111953\n",
            "0.5431445 0.91105527\n",
            "0.5433624 0.91108334\n",
            "0.5435803 0.9109453\n",
            "0.54379815 0.9108498\n",
            "0.544016 0.91075534\n",
            "0.54423386 0.9104984\n",
            "0.5444517 0.9102033\n",
            "0.54466957 0.9098301\n",
            "0.5448874 0.9096618\n",
            "0.54510534 0.9094952\n",
            "0.5453232 0.9086922\n",
            "0.54554105 0.90873015\n",
            "0.5457589 0.9086098\n",
            "0.54597676 0.9081368\n",
            "0.5461946 0.90813774\n",
            "0.54641247 0.90817755\n",
            "0.5466304 0.9081395\n",
            "0.54684824 0.907909\n",
            "0.5470661 0.9077957\n",
            "0.54728395 0.907263\n",
            "0.5475018 0.9068493\n",
            "0.54771966 0.90674245\n",
            "0.5479376 0.9064103\n",
            "0.5481554 0.9060811\n",
            "0.5483733 0.9053438\n",
            "0.54859114 0.9047991\n",
            "0.548809 0.9044815\n",
            "0.54902685 0.90420353\n",
            "0.5492447 0.9040382\n",
            "0.5494626 0.904057\n",
            "0.5496805 0.9036754\n",
            "0.5498983 0.9034058\n",
            "0.5501162 0.9034271\n",
            "0.55033404 0.90290946\n",
            "0.5505519 0.9027897\n",
            "0.55076975 0.9027778\n",
            "0.55098766 0.90230495\n",
            "0.5512055 0.90187144\n",
            "0.5514234 0.90168774\n",
            "0.5516412 0.9012255\n",
            "0.5518591 0.90048814\n",
            "0.55207694 0.9002778\n",
            "0.5522948 0.9001383\n",
            "0.5525127 0.9\n",
            "0.55273056 0.8999657\n",
            "0.5529484 0.8998975\n",
            "0.5531663 0.8996939\n",
            "0.5533841 0.899458\n",
            "0.553602 0.8992578\n",
            "0.5538199 0.89922714\n",
            "0.55403775 0.8991968\n",
            "0.5542556 0.89886665\n",
            "0.55447346 0.8988712\n",
            "0.5546913 0.8985119\n",
            "0.55490917 0.8986825\n",
            "0.555127 0.89878607\n",
            "0.55534494 0.89879084\n",
            "0.5555628 0.8985026\n",
            "0.55578065 0.8982166\n",
            "0.5559985 0.8978359\n",
            "0.55621636 0.8979086\n",
            "0.5564342 0.8977564\n",
            "0.55665207 0.89786077\n",
            "0.55687 0.89780533\n",
            "0.55708784 0.897782\n",
            "0.5573057 0.8976326\n",
            "0.55752355 0.89773583\n",
            "0.5577414 0.8977757\n",
            "0.55795926 0.897784\n",
            "0.5581772 0.8977923\n",
            "0.558395 0.8978005\n",
            "0.5586129 0.8977778\n",
            "0.55883074 0.8975092\n",
            "0.5590486 0.8974265\n",
            "0.55926645 0.897558\n",
            "0.5594843 0.89750606\n",
            "0.5597022 0.89736366\n",
            "0.5599201 0.8975242\n",
            "0.5601379 0.8976835\n",
            "0.5603558 0.8977218\n",
            "0.56057364 0.89767027\n",
            "0.5607915 0.89761907\n",
            "0.56100935 0.89771646\n",
            "0.56122726 0.8977837\n",
            "0.5614451 0.8979093\n",
            "0.561663 0.8979753\n",
            "0.5618808 0.8979825\n",
            "0.5620987 0.89801866\n",
            "0.56231654 0.8980546\n",
            "0.5625344 0.8981192\n",
            "0.5627523 0.8980392\n",
            "0.56297016 0.89804596\n",
            "0.563188 0.8979095\n",
            "0.5634059 0.8978881\n",
            "0.5636237 0.8976109\n",
            "0.5638416 0.8973073\n",
            "0.5640595 0.8971186\n",
            "0.56427735 0.89721286\n",
            "0.5644952 0.89727837\n",
            "0.56471306 0.8971756\n",
            "0.5649309 0.89726865\n",
            "0.5651488 0.8973333\n",
            "0.5653666 0.89720374\n",
            "0.56558454 0.89729583\n",
            "0.5658024 0.89719474\n",
            "0.56602025 0.8970943\n",
            "0.5662381 0.89699453\n",
            "0.56645596 0.8969499\n",
            "0.5666738 0.89693266\n",
            "0.5668917 0.896645\n",
            "0.5671096 0.8962513\n",
            "0.56732744 0.89623654\n",
            "0.5675453 0.8960879\n",
            "0.56776315 0.8958868\n",
            "0.567981 0.89560705\n",
            "0.56819886 0.8952495\n",
            "0.5684167 0.8949735\n",
            "0.5686346 0.8947785\n",
            "0.5688525 0.8943744\n",
            "0.56907034 0.89397275\n",
            "0.5692882 0.89391327\n",
            "0.56950605 0.89372396\n",
            "0.5697239 0.8933022\n",
            "0.5699418 0.8932712\n",
            "0.5701597 0.89293087\n",
            "0.5703775 0.89282405\n",
            "0.5705954 0.8926154\n",
            "0.57081324 0.892229\n",
            "0.5710311 0.89217633\n",
            "0.57124895 0.89192075\n",
            "0.57146686 0.89181864\n",
            "0.5716847 0.8917677\n",
            "0.5719026 0.8916163\n",
            "0.5721204 0.8915161\n",
            "0.5723383 0.89124125\n",
            "0.57255614 0.8909681\n",
            "0.572774 0.8906965\n",
            "0.5729919 0.8906746\n",
            "0.57320976 0.8905045\n",
            "0.5734276 0.89028597\n",
            "0.5736455 0.8900688\n",
            "0.5738633 0.88987744\n",
            "0.5740812 0.8896872\n",
            "0.5742991 0.889425\n",
            "0.57451695 0.8893343\n",
            "0.5747348 0.88929266\n",
            "0.57495266 0.88932365\n",
            "0.5751705 0.88933045\n",
            "0.5753884 0.8892651\n",
            "0.5756062 0.8892241\n",
            "0.57582414 0.889064\n",
            "0.576042 0.88890475\n",
            "0.57625985 0.8886515\n",
            "0.5764777 0.888589\n",
            "0.57669556 0.88866854\n",
            "0.5769134 0.88881826\n",
            "0.5771313 0.8888263\n",
            "0.5773492 0.8888109\n",
            "0.57756704 0.8887722\n",
            "0.5777849 0.8886406\n",
            "0.57800275 0.8882312\n",
            "0.5782206 0.88796294\n",
            "0.57843846 0.8879963\n",
            "0.5786563 0.88786834\n",
            "0.57887423 0.88764924\n",
            "0.5790921 0.8874313\n",
            "0.57930994 0.8874201\n",
            "0.5795278 0.88731784\n",
            "0.57974565 0.8873524\n",
            "0.5799635 0.8872962\n",
            "0.5801814 0.88714993\n",
            "0.5803993 0.88698196\n",
            "0.58061713 0.8868149\n",
            "0.580835 0.8868952\n",
            "0.58105284 0.8869303\n",
            "0.5812707 0.8868315\n",
            "0.58148855 0.887\n",
            "0.58170646 0.8869681\n",
            "0.5819243 0.8868258\n",
            "0.5821422 0.8867284\n",
            "0.58236 0.8867854\n",
            "0.5825779 0.886864\n",
            "0.58279574 0.8868985\n",
            "0.5830136 0.88688916\n",
            "0.5832315 0.8867276\n",
            "0.58344936 0.8865885\n",
            "0.5836672 0.88666666\n",
            "0.5838851 0.88661486\n",
            "0.5841029 0.88645566\n",
            "0.5843208 0.8863832\n",
            "0.58453864 0.8863753\n",
            "0.58475655 0.88602567\n",
            "0.5849744 0.8860827\n",
            "0.58519226 0.88582057\n",
            "0.5854101 0.8855386\n",
            "0.585628 0.88555413\n",
            "0.5858458 0.88548523\n",
            "0.58606374 0.88556397\n",
            "0.5862816 0.8856003\n",
            "0.58649945 0.8856574\n",
            "0.5867173 0.8857143\n",
            "0.58693516 0.88570833\n",
            "0.587153 0.88586867\n",
            "0.5873709 0.885966\n",
            "0.5875888 0.88591814\n",
            "0.58780664 0.8860149\n",
            "0.5880245 0.88611114\n",
            "0.58824235 0.8861453\n",
            "0.5884602 0.8858313\n",
            "0.58867806 0.8859477\n",
            "0.5888959 0.8858802\n",
            "0.58911383 0.88569105\n",
            "0.5893317 0.8855028\n",
            "0.58954954 0.88555825\n",
            "0.5897674 0.8853107\n",
            "0.58998525 0.88496375\n",
            "0.5902031 0.8846988\n",
            "0.590421 0.8846755\n",
            "0.5906389 0.88423264\n",
            "0.59085673 0.8838915\n",
            "0.5910746 0.88347256\n",
            "0.59129244 0.8832936\n",
            "0.5915103 0.8832542\n",
            "0.59172815 0.8831951\n",
            "0.59194607 0.8831954\n",
            "0.5921639 0.8831368\n",
            "0.5923818 0.8832549\n",
            "0.59259963 0.8833529\n",
            "0.5928175 0.8832943\n",
            "0.59303534 0.8833333\n",
            "0.5932532 0.8833139\n",
            "0.5934711 0.8833333\n",
            "0.59368896 0.88315934\n",
            "0.5939068 0.8832176\n",
            "0.5941247 0.88283294\n",
            "0.5943425 0.8829493\n",
            "0.5945604 0.8828161\n",
            "0.59477824 0.88253057\n",
            "0.59499615 0.8822464\n",
            "0.595214 0.8821918\n",
            "0.59543186 0.8819666\n",
            "0.5956497 0.88189393\n",
            "0.5958676 0.88180274\n",
            "0.5960854 0.88157994\n",
            "0.59630334 0.8813017\n",
            "0.5965212 0.8810811\n",
            "0.59673905 0.88082397\n",
            "0.5969569 0.8806988\n",
            "0.59717476 0.88068604\n",
            "0.5973926 0.8804501\n",
            "0.5976105 0.8801225\n",
            "0.5978284 0.87987036\n",
            "0.59804624 0.8796748\n",
            "0.5982641 0.87942475\n",
            "0.59848195 0.8790839\n",
            "0.5986998 0.8789464\n",
            "0.59891766 0.87875456\n",
            "0.5991355 0.8786001\n",
            "0.59935343 0.8785558\n",
            "0.5995713 0.8783661\n",
            "0.59978914 0.878268\n",
            "0.600007 0.8781522\n",
            "0.60022485 0.8782719\n",
            "0.6004427 0.87821066\n",
            "0.60066056 0.87816775\n",
            "0.6008785 0.8779274\n",
            "0.60109633 0.877957\n",
            "0.6013142 0.8780401\n",
            "0.60153204 0.8779979\n",
            "0.6017499 0.87799144\n",
            "0.60196775 0.87794954\n",
            "0.60218567 0.8780142\n",
            "0.6024035 0.8780255\n",
            "0.6026214 0.8780014\n",
            "0.60283923 0.8779422\n",
            "0.6030571 0.8778481\n",
            "0.60327494 0.87798244\n",
            "0.6034928 0.8780112\n",
            "0.6037107 0.87803984\n",
            "0.60392857 0.8780683\n",
            "0.6041464 0.8781141\n",
            "0.6043643 0.87814236\n",
            "0.60458213 0.87815315\n",
            "0.6048 0.87809473\n",
            "0.60501784 0.87805384\n",
            "0.60523576 0.87806475\n",
            "0.6054536 0.8780756\n",
            "0.60567147 0.878155\n",
            "0.6058893 0.87816566\n",
            "0.6061072 0.878125\n",
            "0.60632503 0.87825495\n",
            "0.6065429 0.8782483\n",
            "0.6067608 0.87825865\n",
            "0.60697865 0.87816733\n",
            "0.6071965 0.87811023\n",
            "0.60741436 0.8782051\n",
            "0.6076322 0.8781818\n",
            "0.6078501 0.87829304\n",
            "0.608068 0.8783535\n",
            "0.60828584 0.87831324\n",
            "0.6085037 0.87839013\n",
            "0.60872155 0.8784\n",
            "0.6089394 0.87845975\n",
            "0.60915726 0.87848604\n",
            "0.6093751 0.87852883\n",
            "0.60959303 0.8786045\n",
            "0.6098109 0.8786139\n",
            "0.61002874 0.8786726\n",
            "0.6102466 0.8786982\n",
            "0.61046445 0.8786581\n",
            "0.6106823 0.8786673\n",
            "0.61090016 0.87879086\n",
            "0.6111181 0.87883234\n",
            "0.61133593 0.8789876\n",
            "0.6115538 0.87904483\n",
            "0.61177164 0.8791829\n",
            "0.6119895 0.879288\n",
            "0.61220735 0.87942505\n",
            "0.61242527 0.8794326\n",
            "0.6126431 0.8794401\n",
            "0.612861 0.8795119\n",
            "0.61307883 0.8795513\n",
            "0.6132967 0.87960654\n",
            "0.61351454 0.8795498\n",
            "0.6137324 0.879557\n",
            "0.6139503 0.87946886\n",
            "0.61416817 0.87953967\n",
            "0.614386 0.879436\n",
            "0.6146039 0.8794434\n",
            "0.61482173 0.87954545\n",
            "0.6150396 0.87964714\n",
            "0.61525744 0.8797956\n",
            "0.61547536 0.87973946\n",
            "0.6156932 0.87968355\n",
            "0.61591107 0.8797373\n",
            "0.6161289 0.8798689\n",
            "0.6163468 0.87995327\n",
            "0.61656463 0.87997514\n",
            "0.6167825 0.8800124\n",
            "0.6170004 0.880096\n",
            "0.61721826 0.8801948\n",
            "0.6174361 0.88024694\n",
            "0.61765397 0.88031423\n",
            "0.6178718 0.8803813\n",
            "0.6180897 0.8804788\n",
            "0.6183076 0.88048404\n",
            "0.61852545 0.88047403\n",
            "0.6187433 0.8805861\n",
            "0.61896116 0.8806825\n",
            "0.619179 0.88070256\n",
            "0.61939687 0.8808288\n",
            "0.6196147 0.88084847\n",
            "0.61983263 0.88092864\n",
            "0.6200505 0.8808726\n",
            "0.62026834 0.88093734\n",
            "0.6204862 0.88101685\n",
            "0.62070405 0.88105106\n",
            "0.6209219 0.8811001\n",
            "0.62113976 0.8811789\n",
            "0.6213577 0.8812276\n",
            "0.62157553 0.88126117\n",
            "0.6217934 0.88136905\n",
            "0.62201124 0.8814171\n",
            "0.6222291 0.8814057\n",
            "0.62244695 0.8814683\n",
            "0.6226648 0.88147163\n",
            "0.6228827 0.8815929\n",
            "0.6231006 0.8816254\n",
            "0.62331843 0.8816872\n",
            "0.6235363 0.88169014\n",
            "0.62375414 0.881737\n",
            "0.623972 0.881769\n",
            "0.6241899 0.88181555\n",
            "0.62440777 0.8818328\n",
            "0.6246256 0.8818499\n",
            "0.6248435 0.88195413\n",
            "0.62506133 0.8819855\n",
            "0.6252792 0.88204575\n",
            "0.62549704 0.88214904\n",
            "0.62571496 0.88220876\n",
            "0.6259328 0.8822827\n",
            "0.62615067 0.8823851\n",
            "0.6263685 0.8824584\n",
            "0.6265864 0.88247424\n",
            "0.62680423 0.88256145\n",
            "0.6270221 0.8826341\n",
            "0.62724 0.88266385\n",
            "0.62745786 0.882665\n",
            "0.6276757 0.8826377\n",
            "0.62789357 0.8825113\n",
            "0.6281114 0.88264006\n",
            "0.6283293 0.8827119\n",
            "0.6285472 0.8827411\n",
            "0.62876505 0.8828125\n",
            "0.6289829 0.8828977\n",
            "0.62920076 0.8830107\n",
            "0.6294186 0.88303924\n",
            "0.62963647 0.8831096\n",
            "0.6298543 0.8831519\n",
            "0.63007224 0.8832079\n",
            "0.6302901 0.8833055\n",
            "0.63050795 0.88340276\n",
            "0.6307258 0.88344425\n",
            "0.63094366 0.8835133\n",
            "0.6311615 0.8835268\n",
            "0.63137937 0.88356787\n",
            "0.6315973 0.88359505\n",
            "0.63181514 0.8835396\n",
            "0.632033 0.88352555\n",
            "0.63225085 0.88359374\n",
            "0.6324687 0.88360703\n",
            "0.63268656 0.8837295\n",
            "0.6329044 0.88382435\n",
            "0.6331223 0.8838916\n",
            "0.6333402 0.88402665\n",
            "0.63355803 0.8840934\n",
            "0.6337759 0.8841328\n",
            "0.63399374 0.8841856\n",
            "0.6342116 0.8841437\n",
            "0.6344295 0.88415587\n",
            "0.63464737 0.8842488\n",
            "0.6348652 0.8842339\n",
            "0.6350831 0.8842861\n",
            "0.63530093 0.88427114\n",
            "0.6355188 0.8843633\n",
            "0.63573664 0.8843349\n",
            "0.63595456 0.88424\n",
            "0.6361724 0.88423854\n",
            "0.63639027 0.884277\n",
            "0.6366081 0.8842489\n",
            "0.636826 0.88418126\n",
            "0.63704383 0.88431215\n",
            "0.6372617 0.88429743\n",
            "0.6374796 0.88434863\n",
            "0.63769746 0.88438654\n",
            "0.6379153 0.88443744\n",
            "0.63813317 0.8845538\n",
            "0.638351 0.8845781\n",
            "0.6385689 0.8845892\n",
            "0.63878673 0.884535\n",
            "0.63900465 0.88458526\n",
            "0.6392225 0.88459635\n",
            "0.63944036 0.8845424\n",
            "0.6396582 0.8846443\n",
            "0.63987607 0.88468117\n",
            "0.6400939 0.8845626\n",
            "0.64031184 0.88457364\n",
            "0.6405297 0.8846104\n",
            "0.64074755 0.8846986\n",
            "0.6409654 0.8847737\n",
            "0.64118326 0.88487417\n",
            "0.6414011 0.8848974\n",
            "0.64161897 0.8849462\n",
            "0.6418369 0.885046\n",
            "0.64205474 0.8850689\n",
            "0.6422726 0.8850153\n",
            "0.64249045 0.8850509\n",
            "0.6427083 0.8849975\n",
            "0.64292616 0.88496953\n",
            "0.643144 0.88494176\n",
            "0.6433619 0.8848887\n",
            "0.6435798 0.8849495\n",
            "0.64379764 0.8849344\n",
            "0.6440155 0.88489425\n",
            "0.64423335 0.8849045\n",
            "0.6444512 0.88493973\n",
            "0.6446691 0.88491225\n",
            "0.644887 0.88501\n",
            "0.6451048 0.88510746\n",
            "0.6453227 0.8851921\n",
            "0.64554054 0.88527656\n",
            "0.6457584 0.88534826\n",
            "0.64597625 0.8854322\n",
            "0.64619416 0.8854911\n",
            "0.646412 0.8855498\n",
            "0.64662987 0.8856083\n",
            "0.6468477 0.88566667\n",
            "0.6470656 0.8857002\n",
            "0.64728343 0.8857213\n",
            "0.6475013 0.88574237\n",
            "0.6477192 0.8857879\n",
            "0.64793706 0.8858824\n",
            "0.6481549 0.8859643\n",
            "0.64837277 0.88599706\n",
            "0.6485906 0.886042\n",
            "0.6488085 0.88607454\n",
            "0.64902633 0.88609487\n",
            "0.64924425 0.8861273\n",
            "0.6494621 0.8862203\n",
            "0.64967996 0.8862403\n",
            "0.6498978 0.8862724\n",
            "0.65011567 0.8863043\n",
            "0.6503335 0.8863362\n",
            "0.65055144 0.8863921\n",
            "0.6507693 0.8864959\n",
            "0.65098715 0.88658744\n",
            "0.651205 0.88667864\n",
            "0.65142286 0.88672173\n",
            "0.6516407 0.8868006\n",
            "0.65185857 0.8868672\n",
            "0.6520765 0.8868264\n",
            "0.65229434 0.8867976\n",
            "0.6525122 0.8868046\n",
            "0.65273005 0.8868471\n",
            "0.6529479 0.8868658\n",
            "0.65316576 0.88688445\n",
            "0.6533836 0.8869267\n",
            "0.6536015 0.88698065\n",
            "0.6538194 0.8869991\n",
            "0.65403724 0.8870998\n",
            "0.6542551 0.88718855\n",
            "0.65447295 0.8871714\n",
            "0.6546908 0.8872363\n",
            "0.65490866 0.88733613\n",
            "0.6551266 0.8874474\n",
            "0.6553444 0.88753504\n",
            "0.6555623 0.88764566\n",
            "0.65578014 0.8877211\n",
            "0.655998 0.88771504\n",
            "0.65621585 0.88779014\n",
            "0.65643376 0.8878999\n",
            "0.6566516 0.8878704\n",
            "0.6568695 0.88789874\n",
            "0.6570873 0.88788086\n",
            "0.6573052 0.88793224\n",
            "0.65752304 0.88796043\n",
            "0.6577409 0.887954\n",
            "0.6579588 0.8879362\n",
            "0.65817666 0.88799864\n",
            "0.6583945 0.88802654\n",
            "0.6586124 0.88805443\n",
            "0.6588302 0.88804793\n",
            "0.6590481 0.8880871\n",
            "0.65926594 0.8880692\n",
            "0.65948385 0.88809687\n",
            "0.6597017 0.8881244\n",
            "0.65991956 0.8881859\n",
            "0.6601374 0.88821334\n",
            "0.66035527 0.8882858\n",
            "0.6605731 0.8883469\n",
            "0.66079104 0.88832885\n",
            "0.6610089 0.88838965\n",
            "0.66122675 0.8884728\n",
            "0.6614446 0.88851076\n",
            "0.66166246 0.88852626\n",
            "0.6618803 0.8885305\n",
            "0.66209817 0.8886577\n",
            "0.6623161 0.88869524\n",
            "0.66253394 0.888755\n",
            "0.6627518 0.88877004\n",
            "0.66296965 0.8888852\n",
            "0.6631875 0.8888889\n",
            "0.66340536 0.88895917\n",
            "0.6636232 0.8890625\n",
            "0.6638411 0.8891656\n",
            "0.664059 0.88917994\n",
            "0.66427684 0.8892053\n",
            "0.6644947 0.88920856\n",
            "0.66471255 0.88924485\n",
            "0.6649304 0.889281\n",
            "0.66514826 0.8893171\n",
            "0.6653662 0.8892763\n",
            "0.665584 0.88934517\n",
            "0.6658019 0.8892717\n",
            "0.66601974 0.88928574\n",
            "0.6662376 0.88932157\n",
            "0.66645545 0.8892593\n",
            "0.66667336 0.88928413\n",
            "0.6668912 0.88921124\n",
            "0.6671091 0.8892361\n",
            "0.6673269 0.88928264\n",
            "0.6675448 0.8893723\n",
            "0.66776264 0.8894509\n",
            "0.6679805 0.88952935\n",
            "0.6681984 0.88952136\n",
            "0.66841626 0.8895241\n",
            "0.6686341 0.8895914\n",
            "0.668852 0.8896585\n",
            "0.6690698 0.88965034\n",
            "0.6692877 0.8896851\n",
            "0.66950554 0.88968766\n",
            "0.66972345 0.8896047\n",
            "0.6699413 0.8895006\n",
            "0.67015916 0.88954604\n",
            "0.670377 0.88957006\n",
            "0.6705949 0.88941324\n",
            "0.6708127 0.8893949\n",
            "0.6710306 0.8893978\n",
            "0.6712485 0.88944304\n",
            "0.67146635 0.88954103\n",
            "0.6716842 0.8896177\n",
            "0.67190206 0.8895886\n",
            "0.6721199 0.889665\n",
            "0.6723378 0.8896675\n",
            "0.6725557 0.88974357\n",
            "0.67277354 0.889767\n",
            "0.6729914 0.8897694\n",
            "0.67320925 0.88981366\n",
            "0.6734271 0.8899101\n",
            "0.67364496 0.8899645\n",
            "0.6738628 0.89001876\n",
            "0.6740807 0.88998955\n",
            "0.6742986 0.8900645\n",
            "0.67451644 0.8900873\n",
            "0.6747343 0.89013076\n",
            "0.67495215 0.89013267\n",
            "0.67517 0.8901346\n",
            "0.67538786 0.89018816\n",
            "0.6756058 0.8902726\n",
            "0.6758236 0.8903259\n",
            "0.6760415 0.89042026\n",
            "0.67625934 0.89047325\n",
            "0.6764772 0.8905158\n",
            "0.67669505 0.89049673\n",
            "0.6769129 0.8904879\n",
            "0.6771308 0.89052004\n",
            "0.6773487 0.890501\n",
            "0.6775665 0.8905433\n",
            "0.6777844 0.8905753\n",
            "0.67800224 0.8905664\n",
            "0.6782201 0.8906186\n",
            "0.678438 0.89053863\n",
            "0.67865586 0.8905806\n",
            "0.6788737 0.89064276\n",
            "0.6790916 0.8906946\n",
            "0.6793094 0.8907868\n",
            "0.6795273 0.8908182\n",
            "0.67974514 0.8908495\n",
            "0.67996305 0.89093107\n",
            "0.6801809 0.8910024\n",
            "0.68039876 0.8910736\n",
            "0.6806166 0.89115465\n",
            "0.6808345 0.8912154\n",
            "0.6810523 0.891236\n",
            "0.6812702 0.8913065\n",
            "0.6814881 0.89132696\n",
            "0.68170595 0.89142716\n",
            "0.6819238 0.89150715\n",
            "0.68214166 0.89153725\n",
            "0.6823595 0.8916269\n",
            "0.6825774 0.89156735\n",
            "0.6827953 0.89161706\n",
            "0.68301314 0.89166665\n",
            "0.683231 0.8917261\n",
            "0.68344885 0.89176553\n",
            "0.6836667 0.89177525\n",
            "0.68388456 0.89180475\n",
            "0.6841024 0.8918538\n",
            "0.68432033 0.8918339\n",
            "0.6845382 0.8918534\n",
            "0.68475604 0.8919219\n",
            "0.6849739 0.8920098\n",
            "0.68519175 0.89208776\n",
            "0.6854096 0.8921166\n",
            "0.68562746 0.8921942\n",
            "0.6858454 0.8921936\n",
            "0.68606323 0.89223194\n",
            "0.6862811 0.8922605\n",
            "0.68649894 0.8923084\n",
            "0.6867168 0.89232713\n",
            "0.68693465 0.89236516\n",
            "0.6871525 0.89228684\n",
            "0.6873704 0.8923732\n",
            "0.6875883 0.8924014\n",
            "0.6878061 0.8924392\n",
            "0.688024 0.89250576\n",
            "0.68824184 0.8925626\n",
            "0.6884597 0.89260006\n",
            "0.6886776 0.89263743\n",
            "0.68889546 0.89269394\n",
            "0.6891133 0.89270234\n",
            "0.6893312 0.8927203\n",
            "0.689549 0.8927191\n",
            "0.6897669 0.89273703\n",
            "0.68998474 0.8927167\n",
            "0.69020265 0.8927155\n",
            "0.6904205 0.8927429\n",
            "0.69063836 0.8927226\n",
            "0.6908562 0.8927499\n",
            "0.6910741 0.8927297\n",
            "0.6912919 0.8928138\n",
            "0.6915098 0.8928599\n",
            "0.6917277 0.89291525\n",
            "0.69194555 0.8929138\n",
            "0.6921634 0.8929974\n",
            "0.69238126 0.893043\n",
            "0.6925991 0.89306027\n",
            "0.692817 0.8930681\n",
            "0.6930348 0.89313227\n",
            "0.69325274 0.8931494\n",
            "0.6934706 0.8931571\n",
            "0.69368845 0.8932303\n",
            "0.6939063 0.8932753\n",
            "0.69412416 0.8933296\n",
            "0.694342 0.8933744\n",
            "0.69455993 0.89340043\n",
            "0.6947778 0.8933613\n",
            "0.69499564 0.8934431\n",
            "0.6952135 0.89338535\n",
            "0.69543135 0.8934298\n",
            "0.6956492 0.893465\n",
            "0.69586706 0.89350927\n",
            "0.696085 0.89349794\n",
            "0.69630283 0.8935329\n",
            "0.6965207 0.893577\n",
            "0.69673854 0.89362097\n",
            "0.6969564 0.8936464\n",
            "0.69717425 0.8936534\n",
            "0.6973921 0.8936604\n",
            "0.69761 0.8937133\n",
            "0.6978279 0.89373857\n",
            "0.69804573 0.8937821\n",
            "0.6982636 0.89379805\n",
            "0.69848144 0.89380485\n",
            "0.6986993 0.89380246\n",
            "0.6989172 0.8938184\n",
            "0.69913507 0.8938525\n",
            "0.6993529 0.89386827\n",
            "0.6995708 0.89390224\n",
            "0.69978863 0.89396334\n",
            "0.7000065 0.893988\n",
            "0.70022434 0.89391303\n",
            "0.70044225 0.8939558\n",
            "0.7006601 0.89400756\n",
            "0.70087796 0.8940502\n",
            "0.7010958 0.8940386\n",
            "0.7013137 0.89408106\n",
            "0.7015315 0.8940425\n",
            "0.7017494 0.893968\n",
            "0.7019673 0.89396554\n",
            "0.70218515 0.89387333\n",
            "0.702403 0.8938172\n",
            "0.70262086 0.8937522\n",
            "0.7028387 0.89360696\n",
            "0.7030566 0.8936406\n",
            "0.7032744 0.89366525\n",
            "0.70349234 0.89362746\n",
            "0.7037102 0.89363426\n",
            "0.70392805 0.8936322\n",
            "0.7041459 0.8936301\n",
            "0.70436376 0.89353925\n",
            "0.7045816 0.89349294\n",
            "0.70479953 0.89351755\n",
            "0.7050174 0.8934979\n",
            "0.70523524 0.8934783\n",
            "0.7054531 0.8935205\n",
            "0.70567095 0.89346564\n",
            "0.7058888 0.89351654\n",
            "0.70610666 0.8935234\n",
            "0.7063246 0.8934336\n",
            "0.70654243 0.893458\n",
            "0.7067603 0.89340353\n",
            "0.70697814 0.89336663\n",
            "0.707196 0.89323354\n",
            "0.70741385 0.8931182\n",
            "0.7076317 0.8930468\n",
            "0.7078496 0.8930105\n",
            "0.7080675 0.8929306\n",
            "0.70828533 0.89288574\n",
            "0.7085032 0.8928236\n",
            "0.70872104 0.89278764\n",
            "0.7089389 0.89278644\n",
            "0.70915675 0.89271593\n",
            "0.70937467 0.89268017\n",
            "0.7095925 0.89261854\n",
            "0.7098104 0.892583\n",
            "0.71002823 0.89250433\n",
            "0.7102461 0.89244306\n",
            "0.71046394 0.8924595\n",
            "0.71068186 0.89241564\n",
            "0.7108997 0.89239764\n",
            "0.71111757 0.8922595\n",
            "0.7113354 0.89219016\n",
            "0.7115533 0.8921811\n",
            "0.71177113 0.89210343\n",
            "0.711989 0.8920773\n",
            "0.7122069 0.8920684\n",
            "0.71242476 0.8920936\n",
            "0.7126426 0.89210165\n",
            "0.71286047 0.8920927\n",
            "0.7130783 0.8921008\n",
            "0.7132962 0.8920918\n",
            "0.71351403 0.8920999\n",
            "0.71373194 0.8919891\n",
            "0.7139498 0.8919549\n",
            "0.71416765 0.89198\n",
            "0.7143855 0.8920051\n",
            "0.71460336 0.89203006\n",
            "0.7148212 0.89203817\n",
            "0.71503913 0.8920041\n",
            "0.715257 0.89197\n",
            "0.71547484 0.891936\n",
            "0.7156927 0.89190215\n",
            "0.71591055 0.8918263\n",
            "0.7161284 0.89180094\n",
            "0.71634626 0.8918008\n",
            "0.7165642 0.89180064\n",
            "0.71678203 0.89172524\n",
            "0.7169999 0.89176697\n",
            "0.71721774 0.8917585\n",
            "0.7174356 0.8917501\n",
            "0.71765345 0.8917083\n",
            "0.7178713 0.8917166\n",
            "0.7180892 0.89174986\n",
            "0.7183071 0.89177465\n",
            "0.71852493 0.8917414\n",
            "0.7187428 0.89167494\n",
            "0.71896064 0.8916335\n",
            "0.7191785 0.8916253\n",
            "0.71939635 0.89162534\n",
            "0.71961427 0.8916006\n",
            "0.7198321 0.8916089\n",
            "0.72005 0.89162546\n",
            "0.72026783 0.891609\n",
            "0.7204857 0.89163375\n",
            "0.72070354 0.89161736\n",
            "0.72092146 0.89164203\n",
            "0.7211393 0.89160925\n",
            "0.72135717 0.8916011\n",
            "0.721575 0.89166665\n",
            "0.7217929 0.8916503\n",
            "0.72201073 0.8916994\n",
            "0.7222286 0.8917075\n",
            "0.7224465 0.89169925\n",
            "0.72266436 0.8917155\n",
            "0.7228822 0.8916911\n",
            "0.72310007 0.89166665\n",
            "0.7233179 0.89165044\n",
            "0.7235358 0.89161795\n",
            "0.72375363 0.8916261\n",
            "0.72397155 0.8916262\n",
            "0.7241894 0.89158577\n",
            "0.72440726 0.89159393\n",
            "0.7246251 0.89161015\n",
            "0.72484297 0.8916344\n",
            "0.7250608 0.89165056\n",
            "0.7252787 0.89165056\n",
            "0.7254966 0.8917069\n",
            "0.72571445 0.89173096\n",
            "0.7259323 0.89166665\n",
            "0.72615016 0.89162654\n",
            "0.726368 0.89166665\n",
            "0.72658587 0.89166665\n",
            "0.7268038 0.8916907\n",
            "0.72702163 0.89171463\n",
            "0.7272395 0.8917146\n",
            "0.72745734 0.8917464\n",
            "0.7276752 0.89176226\n",
            "0.72789305 0.89178604\n",
            "0.7281109 0.89181775\n",
            "0.7283288 0.8918414\n",
            "0.7285467 0.89178574\n",
            "0.72876453 0.8918411\n",
            "0.7289824 0.89184886\n",
            "0.72920024 0.8918487\n",
            "0.7294181 0.8918327\n",
            "0.72963595 0.89182466\n",
            "0.72985387 0.8918561\n",
            "0.7300717 0.89184797\n",
            "0.7302896 0.89180845\n",
            "0.73050743 0.89180833\n",
            "0.7307253 0.89175314\n",
            "0.73094314 0.8917531\n",
            "0.73116106 0.8917608\n",
            "0.7313789 0.8917529\n",
            "0.73159677 0.891792\n",
            "0.7318146 0.89181536\n",
            "0.7320325 0.89183086\n",
            "0.73225033 0.8918307\n",
            "0.7324682 0.8918539\n",
            "0.7326861 0.89185375\n",
            "0.73290396 0.89187694\n",
            "0.7331218 0.8918923\n",
            "0.73333967 0.8918921\n",
            "0.7335575 0.89190745\n",
            "0.7337754 0.8919382\n",
            "0.73399323 0.8919302\n",
            "0.73421115 0.89193773\n",
            "0.734429 0.8919607\n",
            "0.73464686 0.8919836\n",
            "0.7348647 0.89199877\n",
            "0.73508257 0.8920756\n",
            "0.7353004 0.8921292\n",
            "0.7355183 0.89213645\n",
            "0.7357362 0.8921437\n",
            "0.73595405 0.8921356\n",
            "0.7361719 0.8921352\n",
            "0.73638976 0.8921578\n",
            "0.7366076 0.8921573\n",
            "0.73682547 0.8921415\n",
            "0.7370434 0.89214873\n",
            "0.73726124 0.89217126\n",
            "0.7374791 0.8921402\n",
            "0.73769695 0.89212453\n",
            "0.7379148 0.8921394\n",
            "0.73813266 0.8921465\n",
            "0.7383505 0.8921461\n",
            "0.7385684 0.89215326\n",
            "0.7387863 0.8921452\n",
            "0.73900414 0.8921448\n",
            "0.739222 0.8921216\n",
            "0.73943985 0.89212877\n",
            "0.7396577 0.8921435\n",
            "0.73987556 0.8921431\n",
            "0.74009347 0.89211243\n",
            "0.7403113 0.89203656\n",
            "0.7405292 0.89204377\n",
            "0.74074703 0.8920208\n",
            "0.7409649 0.8919452\n",
            "0.74118274 0.8918697\n",
            "0.7414006 0.89187706\n",
            "0.7416185 0.8917943\n",
            "0.74183637 0.8917492\n",
            "0.7420542 0.89174163\n",
            "0.7422721 0.89175653\n",
            "0.74248993 0.89179385\n",
            "0.7427078 0.8918012\n",
            "0.7429257 0.8917563\n",
            "0.74314356 0.89177114\n",
            "0.7433614 0.8918008\n",
            "0.74357927 0.8918305\n",
            "0.7437971 0.8918527\n",
            "0.744015 0.8918525\n",
            "0.74423283 0.8918969\n",
            "0.74445075 0.8919264\n",
            "0.7446686 0.89197063\n",
            "0.74488646 0.8919852\n",
            "0.7451043 0.8920071\n",
            "0.74532217 0.8920364\n",
            "0.74554 0.8920582\n",
            "0.7457579 0.8920431\n",
            "0.7459758 0.89210916\n",
            "0.74619365 0.89212346\n",
            "0.7464115 0.89214516\n",
            "0.74662936 0.8921227\n",
            "0.7468472 0.8921664\n",
            "0.74706507 0.8921953\n",
            "0.7472829 0.89223886\n",
            "0.74750084 0.892275\n",
            "0.7477187 0.8922891\n",
            "0.74793655 0.8922593\n",
            "0.7481544 0.892288\n",
            "0.74837226 0.892324\n",
            "0.7485901 0.89224315\n",
            "0.748808 0.8922937\n",
            "0.7490259 0.892315\n",
            "0.74924374 0.892329\n",
            "0.7494616 0.8923502\n",
            "0.74967945 0.892415\n",
            "0.7498973 0.8924579\n",
            "0.75011516 0.89247894\n",
            "0.7503331 0.8924783\n",
            "0.7505509 0.8924776\n",
            "0.7507688 0.89249134\n",
            "0.75098664 0.89248335\n",
            "0.7512045 0.8924899\n",
            "0.75142235 0.8924964\n",
            "0.7516402 0.8925245\n",
            "0.7518581 0.8925454\n",
            "0.75207597 0.8925374\n",
            "0.7522938 0.8925582\n",
            "0.7525117 0.892579\n",
            "0.75272954 0.8926213\n",
            "0.7529474 0.89260614\n",
            "0.7531653 0.89266264\n",
            "0.75338316 0.89268327\n",
            "0.753601 0.8926752\n",
            "0.75381887 0.89274585\n",
            "0.7540367 0.89275205\n",
            "0.7542546 0.8927797\n",
            "0.75447243 0.8927288\n",
            "0.75469035 0.8927493\n",
            "0.7549082 0.89274836\n",
            "0.75512606 0.89275455\n",
            "0.7553439 0.8927891\n",
            "0.75556177 0.8928237\n",
            "0.7557796 0.8928298\n",
            "0.7559975 0.89285713\n",
            "0.7562154 0.8928349\n",
            "0.75643325 0.8928763\n",
            "0.7566511 0.8928682\n",
            "0.75686896 0.8928602\n",
            "0.7570868 0.89285916\n",
            "0.75730467 0.892844\n",
            "0.7575225 0.89285713\n",
            "0.75774044 0.8928491\n",
            "0.7579583 0.8928762\n",
            "0.75817615 0.8928822\n",
            "0.758394 0.8928953\n",
            "0.75861186 0.8928521\n",
            "0.7588297 0.89284414\n",
            "0.7590476 0.89282215\n",
            "0.7592655 0.89287716\n",
            "0.75948334 0.89284813\n",
            "0.7597012 0.8928262\n",
            "0.75991905 0.89285314\n",
            "0.7601369 0.892894\n",
            "0.76035476 0.8927606\n",
            "0.7605727 0.89276665\n",
            "0.7607905 0.8927588\n",
            "0.7610084 0.8927926\n",
            "0.76122624 0.8928125\n",
            "0.7614441 0.8928046\n",
            "0.76166195 0.8928245\n",
            "0.7618798 0.8927612\n",
            "0.7620977 0.8927672\n",
            "0.7623156 0.8927939\n",
            "0.7625334 0.89276534\n",
            "0.7627513 0.8927782\n",
            "0.76296914 0.8927359\n",
            "0.763187 0.8927833\n",
            "0.76340485 0.8928237\n",
            "0.76362276 0.8928365\n",
            "0.7638406 0.89284927\n",
            "0.7640585 0.89286894\n",
            "0.7642763 0.8929091\n",
            "0.7644942 0.8929218\n",
            "0.76471204 0.8928728\n",
            "0.76492995 0.89290607\n",
            "0.7651478 0.8928435\n",
            "0.76536566 0.89280146\n",
            "0.7655835 0.8928347\n",
            "0.76580137 0.8928269\n",
            "0.7660192 0.8928328\n",
            "0.7662371 0.8928591\n",
            "0.766455 0.8928922\n",
            "0.76667285 0.89289117\n",
            "0.7668907 0.892863\n",
            "0.76710856 0.89290273\n",
            "0.7673264 0.8929492\n",
            "0.76754427 0.8929414\n",
            "0.7677621 0.89297426\n",
            "0.76798004 0.8929732\n",
            "0.7681979 0.89298564\n",
            "0.76841575 0.89298457\n",
            "0.7686336 0.89300376\n",
            "0.76885146 0.8929757\n",
            "0.7690693 0.8929949\n",
            "0.7692872 0.89296013\n",
            "0.7695051 0.8929658\n",
            "0.76972294 0.89289075\n",
            "0.7699408 0.89289653\n",
            "0.77015865 0.89282167\n",
            "0.7703765 0.89284086\n",
            "0.77059436 0.8928466\n",
            "0.7708123 0.89282554\n",
            "0.7710301 0.8927242\n",
            "0.771248 0.8927033\n",
            "0.77146584 0.89272255\n",
            "0.7716837 0.8927751\n",
            "0.77190155 0.8927609\n",
            "0.7721194 0.89275336\n",
            "0.7723373 0.89277244\n",
            "0.7725552 0.8927849\n",
            "0.772773 0.89280397\n",
            "0.7729909 0.892823\n",
            "0.77320874 0.892822\n",
            "0.7734266 0.89283437\n",
            "0.77364445 0.8928401\n",
            "0.77386236 0.8928325\n",
            "0.7740802 0.8928316\n",
            "0.7742981 0.8928505\n",
            "0.7745159 0.8928562\n",
            "0.7747338 0.89289486\n",
            "0.77495164 0.8928807\n",
            "0.77516955 0.8928797\n",
            "0.7753874 0.8929183\n",
            "0.77560526 0.8928778\n",
            "0.7758231 0.89287686\n",
            "0.776041 0.8928891\n",
            "0.7762588 0.89290124\n",
            "0.7764767 0.8928871\n",
            "0.7766946 0.89290583\n",
            "0.77691245 0.8929507\n",
            "0.7771303 0.89296937\n",
            "0.77734816 0.89298797\n",
            "0.777566 0.89298695\n",
            "0.7777839 0.89299244\n",
            "0.7780017 0.8929979\n",
            "0.77821964 0.89295125\n",
            "0.7784375 0.89295673\n",
            "0.77865535 0.8929427\n",
            "0.7788732 0.8929417\n",
            "0.77909106 0.8929082\n",
            "0.7793089 0.89290076\n",
            "0.77952677 0.8929063\n",
            "0.7797447 0.8929313\n",
            "0.77996254 0.89290434\n",
            "0.7801804 0.8929034\n",
            "0.78039825 0.89289594\n",
            "0.7806161 0.8929079\n",
            "0.78083396 0.89292634\n",
            "0.7810519 0.89291894\n",
            "0.7812697 0.8929631\n",
            "0.7814876 0.89301366\n",
            "0.78170544 0.8930448\n",
            "0.7819233 0.8930695\n",
            "0.78214115 0.8930877\n",
            "0.782359 0.8931252\n",
            "0.7825769 0.8931433\n",
            "0.7827948 0.8931614\n",
            "0.7830126 0.89316666\n",
            "0.7832305 0.8931847\n",
            "0.78344834 0.89318997\n",
            "0.7836662 0.89324635\n",
            "0.78388405 0.89325154\n",
            "0.78410196 0.8932695\n",
            "0.7843198 0.89326185\n",
            "0.7845377 0.8932734\n",
            "0.7847555 0.8932913\n",
            "0.7849734 0.8933091\n",
            "0.78519124 0.89330786\n",
            "0.78540915 0.89334476\n",
            "0.785627 0.8933625\n",
            "0.78584486 0.8933803\n",
            "0.7860627 0.893379\n",
            "0.7862806 0.89342207\n",
            "0.7864984 0.893446\n",
            "0.7867163 0.8934637\n",
            "0.7869342 0.893456\n",
            "0.78715205 0.8934799\n",
            "0.7873699 0.8934722\n",
            "0.78758776 0.8934519\n",
            "0.7878056 0.8934758\n",
            "0.7880235 0.8934807\n",
            "0.7882413 0.89351714\n",
            "0.78845924 0.893522\n",
            "0.7886771 0.89357716\n",
            "0.78889495 0.89360714\n",
            "0.7891128 0.89361197\n",
            "0.78933066 0.89367944\n",
            "0.7895485 0.89369047\n",
            "0.7897664 0.893714\n",
            "0.7899843 0.893725\n",
            "0.79020214 0.89377344\n",
            "0.79042 0.89379686\n",
            "0.79063785 0.89383894\n",
            "0.7908557 0.8938685\n",
            "0.79107356 0.8938731\n",
            "0.7912915 0.89389634\n",
            "0.79150933 0.89393824\n",
            "0.7917272 0.8939428\n",
            "0.79194504 0.8939411\n",
            "0.7921629 0.89396423\n",
            "0.79238075 0.89399976\n",
            "0.7925986 0.8939856\n",
            "0.7928165 0.8940211\n",
            "0.7930344 0.8940317\n",
            "0.7932522 0.89408565\n",
            "0.7934701 0.89413947\n",
            "0.79368794 0.8941376\n",
            "0.7939058 0.8941605\n",
            "0.79412365 0.89415866\n",
            "0.79434156 0.89416915\n",
            "0.7945594 0.89417344\n",
            "0.7947773 0.8941901\n",
            "0.7949951 0.89423126\n",
            "0.795213 0.8942539\n",
            "0.79543084 0.89428276\n",
            "0.7956487 0.89430535\n",
            "0.7958666 0.8943402\n",
            "0.79608446 0.89435047\n",
            "0.7963023 0.89437914\n",
            "0.7965202 0.89438325\n",
            "0.796738 0.8943996\n",
            "0.7969559 0.89444035\n",
            "0.7971738 0.8944261\n",
            "0.79739165 0.894418\n",
            "0.7976095 0.8944099\n",
            "0.79782736 0.8944383\n",
            "0.7980452 0.8944972\n",
            "0.7982631 0.8944951\n",
            "0.7984809 0.89449304\n",
            "0.79869884 0.8945032\n",
            "0.7989167 0.894495\n",
            "0.79913455 0.8945051\n",
            "0.7993524 0.89450306\n",
            "0.79957026 0.8945131\n",
            "0.7997881 0.89452314\n",
            "0.800006 0.89447874\n",
            "0.8002239 0.89448273\n",
            "0.80044174 0.8944867\n",
            "0.8006596 0.8945209\n",
            "0.80087745 0.8945671\n",
            "0.8010953 0.89458305\n",
            "0.80131316 0.8946291\n",
            "0.8015311 0.894651\n",
            "0.80174893 0.89464885\n",
            "0.8019668 0.8946707\n",
            "0.80218464 0.8946986\n",
            "0.8024025 0.8947444\n",
            "0.80262035 0.8947722\n",
            "0.8028382 0.89481187\n",
            "0.8030561 0.89483356\n",
            "0.803274 0.8948612\n",
            "0.80349183 0.8948948\n",
            "0.8037097 0.89491636\n",
            "0.80392754 0.8949439\n",
            "0.8041454 0.8949833\n",
            "0.80436325 0.8949988\n",
            "0.80458117 0.8950083\n",
            "0.804799 0.8950476\n",
            "0.8050169 0.8950928\n",
            "0.80523473 0.89509034\n",
            "0.8054526 0.8951057\n",
            "0.80567044 0.89510924\n",
            "0.8058883 0.8951305\n",
            "0.8061062 0.8951221\n",
            "0.80632406 0.8951552\n",
            "0.8065419 0.8951823\n",
            "0.8067598 0.8952094\n",
            "0.8069776 0.8952305\n",
            "0.8071955 0.89526343\n",
            "0.8074134 0.8952904\n",
            "0.80763125 0.8953232\n",
            "0.8078491 0.89537364\n",
            "0.80806696 0.895371\n",
            "0.8082848 0.8954155\n",
            "0.8085027 0.89544225\n",
            "0.8087205 0.8954337\n",
            "0.80893844 0.89546627\n",
            "0.8091563 0.895493\n",
            "0.80937415 0.8955137\n",
            "0.809592 0.8954993\n",
            "0.80980986 0.895479\n",
            "0.8100277 0.8954939\n",
            "0.8102456 0.8955322\n",
            "0.8104635 0.8955353\n",
            "0.81068134 0.895556\n",
            "0.8108992 0.89557654\n",
            "0.81111705 0.89559716\n",
            "0.8113349 0.8956177\n",
            "0.81155276 0.89564407\n",
            "0.8117706 0.8956471\n",
            "0.81198853 0.8956676\n",
            "0.8122064 0.89570546\n",
            "0.81242424 0.8957317\n",
            "0.8126421 0.8957463\n",
            "0.81285995 0.89573187\n",
            "0.8130778 0.8957696\n",
            "0.8132957 0.8957783\n",
            "0.8135136 0.89582175\n",
            "0.81373143 0.8958131\n",
            "0.8139493 0.89582753\n",
            "0.81416714 0.89583623\n",
            "0.814385 0.89585066\n",
            "0.81460285 0.89583623\n",
            "0.81482077 0.8958449\n",
            "0.8150386 0.8958938\n",
            "0.8152565 0.8959024\n",
            "0.81547433 0.895934\n",
            "0.8156922 0.895954\n",
            "0.81591004 0.895997\n",
            "0.8161279 0.89601123\n",
            "0.8163458 0.8960599\n",
            "0.81656367 0.8961027\n",
            "0.8167815 0.8961226\n",
            "0.8169994 0.8961367\n",
            "0.81721723 0.8961336\n",
            "0.8174351 0.8961534\n",
            "0.817653 0.8961903\n",
            "0.81787086 0.8961929\n",
            "0.8180887 0.8961784\n",
            "0.81830657 0.8962038\n",
            "0.8185244 0.89618933\n",
            "0.8187423 0.8962147\n",
            "0.81896013 0.89620024\n",
            "0.81917804 0.89623123\n",
            "0.8193959 0.8962395\n",
            "0.81961375 0.8962818\n",
            "0.8198316 0.8962673\n",
            "0.82004946 0.89630383\n",
            "0.8202673 0.8963177\n",
            "0.8204852 0.8963429\n",
            "0.8207031 0.8963114\n",
            "0.82092094 0.8963478\n",
            "0.8211388 0.89638984\n",
            "0.82135665 0.8963923\n",
            "0.8215745 0.89640033\n",
            "0.82179236 0.89640844\n",
            "0.8220102 0.8963489\n",
            "0.82222813 0.89634573\n",
            "0.822446 0.8963369\n",
            "0.82266384 0.89632815\n",
            "0.8228817 0.8962351\n",
            "0.82309955 0.8962601\n",
            "0.8233174 0.8962963\n",
            "0.8235353 0.89630437\n",
            "0.8237532 0.8963237\n",
            "0.82397103 0.896343\n",
            "0.8241889 0.8963734\n",
            "0.82440674 0.89637583\n",
            "0.8246246 0.8964286\n",
            "0.82484245 0.8963975\n",
            "0.82506037 0.89642775\n",
            "0.8252782 0.8964302\n",
            "0.8254961 0.8963601\n",
            "0.82571393 0.89637923\n",
            "0.8259318 0.89639837\n",
            "0.82614964 0.8963618\n",
            "0.8263675 0.896342\n",
            "0.8265854 0.8963778\n",
            "0.82680327 0.8963857\n",
            "0.8270211 0.89641035\n",
            "0.827239 0.896385\n",
            "0.82745683 0.89633757\n",
            "0.8276747 0.8963566\n",
            "0.82789254 0.8963424\n",
            "0.82811046 0.8963172\n",
            "0.8283283 0.8963141\n",
            "0.82854617 0.8963221\n",
            "0.828764 0.8962969\n",
            "0.8289819 0.89631593\n",
            "0.82919973 0.8962963\n",
            "0.82941765 0.8963153\n",
            "0.8296355 0.89633423\n",
            "0.82985336 0.89632565\n",
            "0.8300712 0.8962896\n",
            "0.83028907 0.89628655\n",
            "0.8305069 0.896289\n",
            "0.8307248 0.89629143\n",
            "0.8309427 0.8962774\n",
            "0.83116055 0.8962799\n",
            "0.8313784 0.896233\n",
            "0.83159626 0.8962136\n",
            "0.8318141 0.8962161\n",
            "0.83203197 0.89617485\n",
            "0.8322498 0.8961173\n",
            "0.83246773 0.8960653\n",
            "0.8326856 0.8960624\n",
            "0.83290344 0.89598864\n",
            "0.8331213 0.89592046\n",
            "0.83333915 0.8958524\n",
            "0.833557 0.89580613\n",
            "0.83377486 0.8957763\n",
            "0.8339928 0.89576817\n",
            "0.83421063 0.8957492\n",
            "0.8344285 0.89570856\n",
            "0.83464634 0.89568967\n",
            "0.8348642 0.8956762\n",
            "0.83508205 0.89565194\n",
            "0.83529997 0.89561146\n",
            "0.8355178 0.89558727\n",
            "0.8357357 0.89556855\n",
            "0.83595353 0.8955444\n",
            "0.8361714 0.89555806\n",
            "0.83638924 0.8955502\n",
            "0.8366071 0.8955476\n",
            "0.836825 0.895432\n",
            "0.83704287 0.89540803\n",
            "0.8372607 0.895255\n",
            "0.8374786 0.8952258\n",
            "0.83769643 0.8951698\n",
            "0.8379143 0.89516217\n",
            "0.83813214 0.89513844\n",
            "0.83835006 0.8950933\n",
            "0.8385679 0.8950643\n",
            "0.83878577 0.89508355\n",
            "0.8390036 0.8949743\n",
            "0.8392215 0.89485985\n",
            "0.83943933 0.8948204\n",
            "0.83965725 0.89476496\n",
            "0.8398751 0.8947576\n",
            "0.84009296 0.89475566\n",
            "0.8403108 0.894727\n",
            "0.84052867 0.89468247\n",
            "0.8407465 0.894574\n",
            "0.8409644 0.89454025\n",
            "0.8411823 0.8945065\n",
            "0.84140015 0.8944409\n",
            "0.841618 0.89435416\n",
            "0.84183586 0.89421445\n",
            "0.8420537 0.8939635\n",
            "0.84227157 0.8937977\n",
            "0.8424894 0.8936321\n",
            "0.84270734 0.8935303\n",
            "0.8429252 0.89338094\n",
            "0.84314305 0.8932265\n",
            "0.8433609 0.8930406\n",
            "0.84357876 0.8928126\n",
            "0.8437966 0.8925955\n",
            "0.84401447 0.8924367\n",
            "0.8442324 0.8922675\n",
            "0.84445024 0.89215654\n",
            "0.8446681 0.89200884\n",
            "0.84488595 0.8918929\n",
            "0.8451038 0.8917771\n",
            "0.84532166 0.8916509\n",
            "0.84553957 0.8915039\n",
            "0.8457574 0.89130455\n",
            "0.8459753 0.89116323\n",
            "0.84619313 0.89098006\n",
            "0.846411 0.89081293\n",
            "0.84662884 0.8906721\n",
            "0.8468467 0.890542\n",
            "0.8470646 0.8904381\n",
            "0.84728247 0.8903396\n",
            "0.8475003 0.8902151\n",
            "0.8477182 0.89016384\n",
            "0.84793603 0.8900918\n",
            "0.8481539 0.8900459\n",
            "0.84837174 0.88991666\n",
            "0.84858966 0.8897564\n",
            "0.8488075 0.8895807\n",
            "0.84902537 0.88942087\n",
            "0.8492432 0.88921964\n",
            "0.8494611 0.88909656\n",
            "0.84967893 0.88891137\n",
            "0.8498968 0.88878864\n",
            "0.8501147 0.88869196\n",
            "0.85033256 0.88846076\n",
            "0.8505504 0.88826084\n",
            "0.85076827 0.8880457\n",
            "0.8509861 0.88797045\n",
            "0.851204 0.8878539\n",
            "0.8514219 0.8877014\n",
            "0.85163975 0.8876058\n",
            "0.8518576 0.8874897\n",
            "0.85207546 0.8874304\n",
            "0.8522933 0.8874073\n",
            "0.85251117 0.88733786\n",
            "0.852729 0.88726854\n",
            "0.85294694 0.88715816\n",
            "0.8531648 0.8870633\n",
            "0.85338265 0.8870045\n",
            "0.8536005 0.8869612\n",
            "0.85381836 0.88685644\n",
            "0.8540362 0.8868081\n",
            "0.85425407 0.88670355\n",
            "0.854472 0.8866298\n",
            "0.85468984 0.886592\n",
            "0.8549077 0.8865184\n",
            "0.85512555 0.88641936\n",
            "0.8553434 0.8863256\n",
            "0.85556126 0.8862268\n",
            "0.8557792 0.8860516\n",
            "0.855997 0.88582057\n",
            "0.8562149 0.8856306\n",
            "0.85643274 0.8854612\n",
            "0.8566506 0.8852971\n",
            "0.85686845 0.88519424\n",
            "0.8570863 0.88498986\n",
            "0.8573042 0.8847908\n",
            "0.8575221 0.88463765\n",
            "0.8577399 0.8845963\n",
            "0.8579578 0.8845093\n",
            "0.85817564 0.88438195\n",
            "0.8583935 0.8842446\n",
            "0.85861135 0.88416314\n",
            "0.85882926 0.88405645\n",
            "0.8590471 0.88391954\n",
            "0.85926497 0.8837626\n",
            "0.8594828 0.8836917\n",
            "0.8597007 0.8836461\n",
            "0.85991853 0.8835602\n",
            "0.8601364 0.88349456\n",
            "0.8603543 0.88340384\n",
            "0.86057216 0.883288\n",
            "0.86079 0.88319254\n",
            "0.86100787 0.8831273\n",
            "0.8612257 0.8830219\n",
            "0.8614436 0.8828865\n",
            "0.8616615 0.8827915\n",
            "0.86187935 0.88262135\n",
            "0.8620972 0.88252157\n",
            "0.86231506 0.88242185\n",
            "0.8625329 0.88235736\n",
            "0.86275077 0.8822279\n",
            "0.8629686 0.88214356\n",
            "0.86318654 0.8820494\n",
            "0.8634044 0.88195527\n",
            "0.86362225 0.88186127\n",
            "0.8638401 0.8817375\n",
            "0.86405796 0.8815839\n",
            "0.8642758 0.8814953\n",
            "0.86449367 0.88140184\n",
            "0.8647116 0.88131344\n",
            "0.86492944 0.88120025\n",
            "0.8651473 0.88108724\n",
            "0.86536515 0.88102406\n",
            "0.865583 0.8809361\n",
            "0.86580086 0.880873\n",
            "0.8660187 0.88081\n",
            "0.8662366 0.88073725\n",
            "0.8664545 0.88063973\n",
            "0.86667234 0.880572\n",
            "0.8668902 0.8804995\n",
            "0.86710805 0.8804073\n",
            "0.8673259 0.88029045\n",
            "0.8675438 0.8802182\n",
            "0.8677617 0.8801263\n",
            "0.8679795 0.8800099\n",
            "0.8681974 0.8799478\n",
            "0.86841524 0.8798513\n",
            "0.8686331 0.87979424\n",
            "0.86885095 0.87976193\n",
            "0.86906886 0.8796706\n",
            "0.8692867 0.8795794\n",
            "0.8695046 0.87952757\n",
            "0.8697224 0.8794366\n",
            "0.8699403 0.87934077\n",
            "0.87015814 0.8792451\n",
            "0.870376 0.879174\n",
            "0.8705939 0.87906384\n",
            "0.87081176 0.8789881\n",
            "0.8710296 0.87890255\n",
            "0.8712475 0.87883186\n",
            "0.8714653 0.878727\n",
            "0.8716832 0.87864673\n",
            "0.8719011 0.8785568\n",
            "0.87211895 0.87848645\n",
            "0.8723368 0.8784357\n",
            "0.87255466 0.87829244\n",
            "0.8727725 0.878198\n",
            "0.87299037 0.8781475\n",
            "0.8732082 0.878063\n",
            "0.87342614 0.8779932\n",
            "0.873644 0.8779332\n",
            "0.87386185 0.87788296\n",
            "0.8740797 0.8778279\n",
            "0.87429756 0.87774384\n",
            "0.8745154 0.8776744\n",
            "0.87473327 0.8776196\n",
            "0.8749512 0.8775358\n",
            "0.87516904 0.8774763\n",
            "0.8753869 0.87738305\n",
            "0.87560475 0.87728983\n",
            "0.8758226 0.8772209\n",
            "0.87604046 0.87716174\n",
            "0.8762583 0.8770544\n",
            "0.8764762 0.8769665\n",
            "0.8766941 0.8769075\n",
            "0.87691194 0.87683904\n",
            "0.8771298 0.87675136\n",
            "0.87734765 0.876683\n",
            "0.8775655 0.8765763\n",
            "0.8777834 0.87649375\n",
            "0.8780013 0.8764593\n",
            "0.8782191 0.8763913\n",
            "0.878437 0.8763569\n",
            "0.87865484 0.876337\n",
            "0.8788727 0.8762548\n",
            "0.87909055 0.87614876\n",
            "0.87930846 0.87614334\n",
            "0.8795263 0.8761092\n",
            "0.8797442 0.87604165\n",
            "0.879962 0.87592643\n",
            "0.8801799 0.87586385\n",
            "0.88039774 0.8757966\n",
            "0.8806156 0.8757103\n",
            "0.8808335 0.8756337\n",
            "0.88105136 0.87551904\n",
            "0.8812692 0.87540454\n",
            "0.8814871 0.8752664\n",
            "0.8817049 0.87513787\n",
            "0.8819228 0.875019\n",
            "0.88214064 0.8749003\n",
            "0.88235855 0.8748244\n",
            "0.8825764 0.87474865\n",
            "0.88279426 0.87463975\n",
            "0.8830121 0.8745547\n",
            "0.88323 0.87448865\n",
            "0.8834478 0.8743895\n",
            "0.88366574 0.8742811\n",
            "0.8838836 0.8741633\n",
            "0.88410145 0.8740741\n",
            "0.8843193 0.8739424\n",
            "0.88453716 0.87392884\n",
            "0.884755 0.8739106\n",
            "0.8849729 0.8738311\n",
            "0.8851908 0.8737799\n",
            "0.88540864 0.87374294\n",
            "0.8856265 0.873706\n",
            "0.88584435 0.87369263\n",
            "0.8860622 0.87369335\n",
            "0.88628006 0.8736001\n",
            "0.8864979 0.87351644\n",
            "0.8867158 0.87346095\n",
            "0.8869337 0.8734337\n",
            "0.88715154 0.8733502\n",
            "0.8873694 0.873323\n",
            "0.88758725 0.873324\n",
            "0.8878051 0.8733156\n",
            "0.888023 0.87330246\n",
            "0.8882409 0.8732567\n",
            "0.8884587 0.87326235\n",
            "0.8886766 0.87325394\n",
            "0.88889444 0.87321293\n",
            "0.8891123 0.873158\n",
            "0.88933015 0.8731264\n",
            "0.88954806 0.87310416\n",
            "0.8897659 0.8730912\n",
            "0.8899838 0.87305045\n",
            "0.8902016 0.8730376\n",
            "0.8904195 0.87303865\n",
            "0.89063734 0.87299794\n",
            "0.8908552 0.8729666\n",
            "0.8910731 0.8729306\n",
            "0.89129096 0.87291783\n",
            "0.8915088 0.8728216\n",
            "0.8917267 0.87280434\n",
            "0.8919445 0.87278706\n",
            "0.8921624 0.8727698\n",
            "0.89238024 0.8727479\n",
            "0.89259815 0.8727445\n",
            "0.892816 0.8727134\n",
            "0.89303386 0.8726685\n",
            "0.8932517 0.8726698\n",
            "0.8934696 0.8726757\n",
            "0.8936874 0.8726724\n",
            "0.89390534 0.8725907\n",
            "0.8941232 0.872523\n",
            "0.89434105 0.8725152\n",
            "0.8945589 0.8723832\n",
            "0.89477676 0.87233406\n",
            "0.8949946 0.8722942\n",
            "0.8952125 0.87222224\n",
            "0.8954304 0.8721962\n",
            "0.89564824 0.8720877\n",
            "0.8958661 0.8720572\n",
            "0.89608395 0.8720588\n",
            "0.8963018 0.87203294\n",
            "0.89651966 0.87190187\n",
            "0.8967375 0.8718487\n",
            "0.89695543 0.8717819\n",
            "0.8971733 0.8717425\n",
            "0.89739114 0.87165755\n",
            "0.897609 0.871632\n",
            "0.89782685 0.8715198\n",
            "0.8980447 0.8714123\n",
            "0.89826256 0.87130034\n",
            "0.8984805 0.8712204\n",
            "0.89869833 0.8711815\n",
            "0.8989162 0.8710881\n",
            "0.89913404 0.8710266\n",
            "0.8993519 0.870956\n",
            "0.89956975 0.8708947\n",
            "0.89978766 0.87081516\n",
            "0.9000055 0.8707494\n",
            "0.9002234 0.87064743\n",
            "0.9004412 0.87054104\n",
            "0.9006591 0.87043023\n",
            "0.90087694 0.87036484\n",
            "0.9010948 0.8703357\n",
            "0.9013127 0.87025684\n",
            "0.90153056 0.8701735\n",
            "0.9017484 0.8701174\n",
            "0.9019663 0.8700659\n",
            "0.9021841 0.8700235\n",
            "0.902402 0.86999005\n",
            "0.90261984 0.86997026\n",
            "0.90283775 0.8699324\n",
            "0.9030556 0.8698676\n",
            "0.90327346 0.8697804\n",
            "0.9034913 0.86971575\n",
            "0.9037092 0.8697007\n",
            "0.903927 0.8696271\n",
            "0.9041449 0.8695896\n",
            "0.9043628 0.8695746\n",
            "0.90458065 0.8695192\n",
            "0.9047985 0.86951315\n",
            "0.90501636 0.8694086\n",
            "0.9052342 0.86933994\n",
            "0.9054521 0.86935645\n",
            "0.90567 0.86931026\n",
            "0.90588784 0.86927754\n",
            "0.9061057 0.8692672\n",
            "0.90632355 0.86920327\n",
            "0.9065414 0.8691796\n",
            "0.90675926 0.8691381\n",
            "0.9069771 0.86915016\n",
            "0.90719503 0.86914885\n",
            "0.9074129 0.8691297\n",
            "0.90763074 0.86909723\n",
            "0.9078486 0.86908257\n",
            "0.90806645 0.86907685\n",
            "0.9082843 0.86906224\n",
            "0.90850216 0.86904764\n",
            "0.9087201 0.8689975\n",
            "0.90893793 0.86893857\n",
            "0.9091558 0.8689285\n",
            "0.90937364 0.8689406\n",
            "0.9095915 0.8689305\n",
            "0.90980935 0.8689072\n",
            "0.91002727 0.8688883\n",
            "0.9102451 0.86887383\n",
            "0.910463 0.8688506\n",
            "0.91068083 0.86880964\n",
            "0.9108987 0.86870694\n",
            "0.91111654 0.86869705\n",
            "0.9113344 0.8686254\n",
            "0.9115523 0.86858904\n",
            "0.91177016 0.86859244\n",
            "0.911988 0.86850333\n",
            "0.9122059 0.86840993\n",
            "0.91242373 0.8684178\n",
            "0.9126416 0.8683289\n",
            "0.91285944 0.8683456\n",
            "0.91307735 0.8682876\n",
            "0.9132952 0.8681595\n",
            "0.91351306 0.8681411\n",
            "0.9137309 0.8680526\n",
            "0.9139488 0.8680256\n",
            "0.9141666 0.86793286\n",
            "0.9143845 0.8679366\n",
            "0.9146024 0.8678703\n",
            "0.91482025 0.86775154\n",
            "0.9150381 0.8677335\n",
            "0.91525596 0.8676892\n",
            "0.9154738 0.8676319\n",
            "0.9156917 0.86756593\n",
            "0.9159096 0.86750436\n",
            "0.91612744 0.8674385\n",
            "0.9163453 0.867242\n",
            "0.91656315 0.8672068\n",
            "0.916781 0.86719346\n",
            "0.91699886 0.8671497\n",
            "0.9172167 0.86711466\n",
            "0.91743463 0.86708397\n",
            "0.9176525 0.86706203\n",
            "0.91787034 0.86703146\n",
            "0.9180882 0.8669922\n",
            "0.91830605 0.86692697\n",
            "0.9185239 0.8668358\n",
            "0.91874176 0.86672735\n",
            "0.9189597 0.86659306\n",
            "0.91917753 0.8664805\n",
            "0.9193954 0.8664503\n",
            "0.91961324 0.8663726\n",
            "0.9198311 0.86619985\n",
            "0.92004895 0.86607915\n",
            "0.9202668 0.8659542\n",
            "0.9204847 0.8658726\n",
            "0.9207026 0.8657954\n",
            "0.92092043 0.8657355\n",
            "0.9211383 0.86564976\n",
            "0.92135614 0.8655814\n",
            "0.921574 0.86554754\n",
            "0.9217919 0.86546206\n",
            "0.92200977 0.86543256\n",
            "0.9222276 0.86534727\n",
            "0.9224455 0.8653007\n",
            "0.92266333 0.86525846\n",
            "0.9228812 0.8651948\n",
            "0.92309904 0.8651698\n",
            "0.92331696 0.8651063\n",
            "0.9235348 0.86503\n",
            "0.92375267 0.8649452\n",
            "0.9239705 0.8648348\n",
            "0.9241884 0.86473733\n",
            "0.92440623 0.8646485\n",
            "0.9246241 0.8645513\n",
            "0.924842 0.8644712\n",
            "0.92505985 0.8643912\n",
            "0.9252777 0.8643327\n",
            "0.92549556 0.86423576\n",
            "0.9257134 0.8641986\n",
            "0.9259313 0.8641445\n",
            "0.9261492 0.86409897\n",
            "0.92636704 0.86403644\n",
            "0.9265849 0.86399096\n",
            "0.92680275 0.8638818\n",
            "0.9270206 0.86378974\n",
            "0.92723846 0.86367655\n",
            "0.9274563 0.86356765\n",
            "0.92767423 0.8634547\n",
            "0.9278921 0.8633376\n",
            "0.92810994 0.8632757\n",
            "0.9283278 0.863163\n",
            "0.92854565 0.8630716\n",
            "0.9287635 0.862955\n",
            "0.92898136 0.8628426\n",
            "0.9291993 0.86278963\n",
            "0.92941713 0.862762\n",
            "0.929635 0.8627133\n",
            "0.92985284 0.8626267\n",
            "0.9300707 0.86253166\n",
            "0.93028855 0.86244094\n",
            "0.9305064 0.8624052\n",
            "0.9307243 0.86232305\n",
            "0.9309422 0.8623\n",
            "0.93116003 0.86223906\n",
            "0.9313779 0.8621824\n",
            "0.93159574 0.8621174\n",
            "0.9318136 0.86205244\n",
            "0.9320315 0.8619708\n",
            "0.93224937 0.86187655\n",
            "0.9324672 0.8618119\n",
            "0.9326851 0.8617472\n",
            "0.93290293 0.86168677\n",
            "0.9331208 0.8615887\n",
            "0.93333864 0.86150753\n",
            "0.93355656 0.86141384\n",
            "0.9337744 0.8612868\n",
            "0.93399227 0.86118495\n",
            "0.9342101 0.86103725\n",
            "0.934428 0.86088973\n",
            "0.93464583 0.8608425\n",
            "0.9348637 0.86078286\n",
            "0.9350816 0.86072737\n",
            "0.93529946 0.86065114\n",
            "0.9355173 0.8605625\n",
            "0.93573517 0.86050725\n",
            "0.935953 0.8604437\n",
            "0.9361709 0.8603387\n",
            "0.93638873 0.8602628\n",
            "0.93660665 0.86014545\n",
            "0.9368245 0.86000335\n",
            "0.93704236 0.8599194\n",
            "0.9372602 0.85984397\n",
            "0.93747807 0.85975194\n",
            "0.9376959 0.85968906\n",
            "0.93791384 0.85958064\n",
            "0.9381317 0.8595386\n",
            "0.93834955 0.8594966\n",
            "0.9385674 0.8594836\n",
            "0.93878525 0.8594251\n",
            "0.9390031 0.85927993\n",
            "0.93922096 0.85924643\n",
            "0.9394389 0.85917574\n",
            "0.93965673 0.8590474\n",
            "0.9398746 0.8589893\n",
            "0.94009244 0.8589601\n",
            "0.9403103 0.858898\n",
            "0.94052815 0.85878646\n",
            "0.940746 0.85874504\n",
            "0.9409639 0.85870373\n",
            "0.9411818 0.85865\n",
            "0.94139963 0.858543\n",
            "0.9416175 0.8585388\n",
            "0.94183534 0.8584935\n",
            "0.9420532 0.8584524\n",
            "0.9422711 0.85846055\n",
            "0.94248897 0.85842764\n",
            "0.9427068 0.858403\n",
            "0.9429247 0.8583948\n",
            "0.94314253 0.8583415\n",
            "0.9433604 0.8583538\n",
            "0.94357824 0.8583497\n",
            "0.94379616 0.85828835\n",
            "0.944014 0.8582189\n",
            "0.94423187 0.8581985\n",
            "0.9444497 0.8581129\n",
            "0.9446676 0.8580436\n",
            "0.94488543 0.8580478\n",
            "0.9451033 0.8580072\n",
            "0.9453212 0.8579462\n",
            "0.94553906 0.85784864\n",
            "0.9457569 0.8578041\n",
            "0.94597477 0.8576823\n",
            "0.9461926 0.8576745\n",
            "0.9464105 0.8576301\n",
            "0.94662833 0.85761416\n",
            "0.94684625 0.85750484\n",
            "0.9470641 0.8574687\n",
            "0.94728196 0.8574205\n",
            "0.9474998 0.8573885\n",
            "0.94771767 0.8573727\n",
            "0.9479355 0.85733676\n",
            "0.94815344 0.8572522\n",
            "0.9483713 0.8572729\n",
            "0.94858915 0.857233\n",
            "0.948807 0.85719717\n",
            "0.94902486 0.8571169\n",
            "0.9492427 0.8571134\n",
            "0.94946057 0.85707766\n",
            "0.9496785 0.85702986\n",
            "0.94989634 0.8570426\n",
            "0.9501142 0.85701096\n",
            "0.95033205 0.8569834\n",
            "0.9505499 0.8569599\n",
            "0.95076776 0.85694444\n",
            "0.9509856 0.8568968\n",
            "0.9512035 0.8569136\n",
            "0.9514214 0.85690224\n",
            "0.95163924 0.8568989\n",
            "0.9518571 0.85686344\n",
            "0.95207494 0.856812\n",
            "0.9522928 0.85680467\n",
            "0.95251065 0.8568174\n",
            "0.95272857 0.8567821\n",
            "0.9529464 0.8567548\n",
            "0.9531643 0.8567395\n",
            "0.95338213 0.8567003\n",
            "0.9536 0.85664505\n",
            "0.95381784 0.8566379\n",
            "0.95403576 0.8566027\n",
            "0.9542536 0.8565356\n",
            "0.95447147 0.85651654\n",
            "0.9546893 0.85650945\n",
            "0.9549072 0.85644245\n",
            "0.95512503 0.8564035\n",
            "0.9553429 0.8563566\n",
            "0.9555608 0.8563137\n",
            "0.95577866 0.85632265\n",
            "0.9559965 0.856244\n",
            "0.95621437 0.8561933\n",
            "0.9564322 0.8561983\n",
            "0.9566501 0.85616356\n",
            "0.95686793 0.85610104\n",
            "0.95708585 0.85603064\n",
            "0.9573037 0.85600394\n",
            "0.95752156 0.8559178\n",
            "0.9577394 0.8558833\n",
            "0.95795727 0.85586464\n",
            "0.9581751 0.855747\n",
            "0.95839304 0.85569674\n",
            "0.9586109 0.8556545\n",
            "0.95882875 0.8556162\n",
            "0.9590466 0.85554636\n",
            "0.95926446 0.85544884\n",
            "0.9594823 0.85539097\n",
            "0.95970017 0.85538846\n",
            "0.9599181 0.85533065\n",
            "0.96013594 0.85530055\n",
            "0.9603538 0.8552744\n",
            "0.96057165 0.8552758\n",
            "0.9607895 0.8552182\n",
            "0.96100736 0.8551409\n",
            "0.9612252 0.85504013\n",
            "0.9614431 0.8549316\n",
            "0.961661 0.85492533\n",
            "0.96187884 0.8548483\n",
            "0.9620967 0.8548186\n",
            "0.96231455 0.85477704\n",
            "0.9625324 0.8547591\n",
            "0.96275026 0.85474116\n",
            "0.9629682 0.8547272\n",
            "0.963186 0.85472494\n",
            "0.9634039 0.85469145\n",
            "0.96362174 0.8546775\n",
            "0.9638396 0.8546596\n",
            "0.96405745 0.8545558\n",
            "0.96427536 0.8545419\n",
            "0.9644932 0.8545085\n",
            "0.96471107 0.8544947\n",
            "0.9649289 0.8544887\n",
            "0.9651468 0.8544788\n",
            "0.96536463 0.8544494\n",
            "0.9655825 0.8543732\n",
            "0.9658004 0.8543868\n",
            "0.96601826 0.8543069\n",
            "0.9662361 0.8542581\n",
            "0.96645397 0.8542523\n",
            "0.9666718 0.85416085\n",
            "0.9668897 0.85416275\n",
            "0.96710753 0.85416085\n",
            "0.96732545 0.8541084\n",
            "0.9675433 0.85411817\n",
            "0.96776116 0.854124\n",
            "0.967979 0.854126\n",
            "0.96819687 0.8540969\n",
            "0.9684147 0.85402524\n",
            "0.9686326 0.854004\n",
            "0.9688505 0.8538628\n",
            "0.96906835 0.85385716\n",
            "0.9692862 0.8538051\n",
            "0.96950406 0.85368353\n",
            "0.9697219 0.8536432\n",
            "0.96993977 0.8536029\n",
            "0.9701577 0.8535819\n",
            "0.97037554 0.85349923\n",
            "0.9705934 0.8534282\n",
            "0.97081125 0.8533264\n",
            "0.9710291 0.85320926\n",
            "0.97124696 0.85315\n",
            "0.9714648 0.8530446\n",
            "0.9716827 0.85301244\n",
            "0.9719006 0.85289574\n",
            "0.97211844 0.8527752\n",
            "0.9723363 0.8526702\n",
            "0.97255415 0.85265744\n",
            "0.972772 0.8525795\n",
            "0.97298986 0.8524555\n",
            "0.9732078 0.85236615\n",
            "0.9734256 0.8522884\n",
            "0.9736435 0.8522337\n",
            "0.97386134 0.8521331\n",
            "0.9740792 0.8520403\n",
            "0.97429705 0.8519666\n",
            "0.9745149 0.8519007\n",
            "0.9747328 0.85180813\n",
            "0.9749507 0.8517423\n",
            "0.9751685 0.8516919\n",
            "0.9753864 0.85157657\n",
            "0.97560424 0.85154533\n",
            "0.9758221 0.85149884\n",
            "0.97604 0.8514486\n",
            "0.97625786 0.8514441\n",
            "0.9764757 0.85140157\n",
            "0.9766936 0.8513324\n",
            "0.9769114 0.8512595\n",
            "0.9771293 0.8512209\n",
            "0.97734714 0.8511215\n",
            "0.97756505 0.85106397\n",
            "0.9777829 0.85099894\n",
            "0.97800076 0.8509377\n",
            "0.9782186 0.8508956\n",
            "0.97843647 0.8508193\n",
            "0.9786543 0.8507052\n",
            "0.9788722 0.85058737\n",
            "0.9790901 0.85057575\n",
            "0.97930795 0.85050356\n",
            "0.9795258 0.8504276\n",
            "0.97974366 0.8503178\n",
            "0.9799615 0.8502874\n",
            "0.98017937 0.8502116\n",
            "0.9803973 0.8501398\n",
            "0.98061514 0.85008305\n",
            "0.980833 0.8499849\n",
            "0.98105085 0.8498831\n",
            "0.9812687 0.8498077\n",
            "0.98148656 0.8497437\n",
            "0.9817044 0.84964585\n",
            "0.9819223 0.84956694\n",
            "0.9821402 0.8495144\n",
            "0.98235804 0.84947705\n",
            "0.9825759 0.8494209\n",
            "0.98279375 0.84940237\n",
            "0.9830116 0.8493538\n",
            "0.98322946 0.84926766\n",
            "0.9834474 0.84922296\n",
            "0.9836652 0.8491896\n",
            "0.9838831 0.8491937\n",
            "0.98410094 0.84916407\n",
            "0.9843188 0.8491307\n",
            "0.98453665 0.8491348\n",
            "0.9847545 0.8490379\n",
            "0.9849724 0.8489934\n",
            "0.9851903 0.8489527\n",
            "0.9854081 0.8488672\n",
            "0.985626 0.8487743\n",
            "0.98584384 0.84874123\n",
            "0.9860617 0.8487007\n",
            "0.9862796 0.848608\n",
            "0.98649746 0.8485564\n",
            "0.9867153 0.84855705\n",
            "0.9869332 0.84848315\n",
            "0.987151 0.84845406\n",
            "0.9873689 0.84842867\n",
            "0.98758674 0.84834373\n",
            "0.98780465 0.848311\n",
            "0.9880225 0.848308\n",
            "0.98824036 0.8481936\n",
            "0.9884582 0.8481201\n",
            "0.9886761 0.84808004\n",
            "0.9888939 0.84803265\n",
            "0.9891118 0.84795934\n",
            "0.9893297 0.84791577\n",
            "0.98954755 0.84791666\n",
            "0.9897654 0.84781754\n",
            "0.98998326 0.84775555\n",
            "0.9902011 0.8477084\n",
            "0.990419 0.84766877\n",
            "0.9906368 0.8476143\n",
            "0.99085474 0.8475451\n",
            "0.9910726 0.84751296\n",
            "0.99129045 0.8474439\n",
            "0.9915083 0.8473416\n",
            "0.99172616 0.8473059\n",
            "0.991944 0.8471743\n",
            "0.9921619 0.8470612\n",
            "0.9923798 0.8470293\n",
            "0.99259764 0.8470196\n",
            "0.9928155 0.84694725\n",
            "0.99303335 0.8469192\n",
            "0.9932512 0.84690946\n",
            "0.99346906 0.8468557\n",
            "0.993687 0.84680563\n",
            "0.9939048 0.84675556\n",
            "0.9941227 0.846757\n",
            "0.99434054 0.8466997\n",
            "0.9945584 0.84662044\n",
            "0.99477625 0.8466036\n",
            "0.9949941 0.84655744\n",
            "0.995212 0.84654427\n",
            "0.9954299 0.8465238\n",
            "0.9956477 0.8464924\n",
            "0.9958656 0.84646463\n",
            "0.99608344 0.84637475\n",
            "0.9963013 0.846369\n",
            "0.9965192 0.8463304\n",
            "0.99673706 0.84629184\n",
            "0.9969549 0.846246\n",
            "0.9971728 0.8462038\n",
            "0.9973906 0.84617996\n",
            "0.9976085 0.84615606\n",
            "0.99782634 0.8461359\n",
            "0.99804425 0.8461048\n",
            "0.9982621 0.84610283\n",
            "0.99847996 0.8460317\n",
            "0.9986978 0.846008\n",
            "0.9989157 0.84600973\n",
            "0.9991335 0.8459824\n",
            "0.9993514 0.84595144\n",
            "0.9995693 0.84591687\n",
            "0.99978715 0.8459223\n",
            "1.000005 0.80833334\n",
            "1.0002229 0.77916664\n",
            "1.0004407 0.78055555\n",
            "1.0006586 0.7916667\n",
            "1.0008764 0.8066667\n",
            "1.0010943 0.825\n",
            "1.0013121 0.8357143\n",
            "1.00153 0.83125\n",
            "1.001748 0.8342593\n",
            "1.0019658 0.83416665\n",
            "1.0021837 0.83181816\n",
            "1.0024015 0.82916665\n",
            "1.0026194 0.8320513\n",
            "1.0028372 0.8309524\n",
            "1.0030551 0.82666665\n",
            "1.003273 0.8307292\n",
            "1.0034908 0.83431375\n",
            "1.0037087 0.83287036\n",
            "1.0039265 0.83201754\n",
            "1.0041444 0.8308333\n",
            "1.0043622 0.8289682\n",
            "1.0045801 0.8299242\n",
            "1.004798 0.82934785\n",
            "1.0050159 0.83125\n",
            "1.0052338 0.8283333\n",
            "1.0054516 0.824359\n",
            "1.0056695 0.82098764\n",
            "1.0058873 0.8235119\n",
            "1.0061052 0.82327586\n",
            "1.0063231 0.8188889\n",
            "1.0065409 0.819086\n",
            "1.0067588 0.81640625\n",
            "1.0069766 0.8151515\n",
            "1.0071945 0.81691176\n",
            "1.0074123 0.81642854\n",
            "1.0076302 0.8162037\n",
            "1.0078481 0.818018\n",
            "1.0080659 0.81885964\n",
            "1.0082839 0.81858975\n",
            "1.0085016 0.81916666\n",
            "1.0087196 0.82012194\n",
            "1.0089374 0.8214286\n",
            "1.0091553 0.823062\n",
            "1.0093732 0.8246212\n",
            "1.009591 0.8238889\n",
            "1.0098089 0.8213768\n",
            "1.0100267 0.8187943\n",
            "1.0102446 0.81875\n",
            "1.0104625 0.8188776\n",
            "1.0106803 0.8185\n",
            "1.0108982 0.81830066\n",
            "1.011116 0.8177885\n",
            "1.011334 0.8130503\n",
            "1.0115517 0.8126543\n",
            "1.0117697 0.8098485\n",
            "1.0119876 0.80744046\n",
            "1.0122054 0.80614036\n",
            "1.0124233 0.80632186\n",
            "1.0126411 0.8049435\n",
            "1.012859 0.8040278\n",
            "1.0130768 0.8031421\n",
            "1.0132947 0.8033602\n",
            "1.0135126 0.80198413\n",
            "1.0137304 0.8018229\n",
            "1.0139483 0.8029487\n",
            "1.0141661 0.80189395\n",
            "1.014384 0.80099505\n",
            "1.0146018 0.80110294\n",
            "1.0148197 0.8021739\n",
            "1.0150377 0.8029762\n",
            "1.0152555 0.8028169\n",
            "1.0154734 0.8020833\n",
            "1.0156912 0.8019406\n",
            "1.0159091 0.8009009\n",
            "1.0161269 0.7997778\n",
            "1.0163448 0.7991228\n",
            "1.0165627 0.7987013\n",
            "1.0167805 0.7982906\n",
            "1.0169984 0.7986287\n",
            "1.0172162 0.79802084\n",
            "1.0174341 0.7979424\n",
            "1.0176519 0.7968496\n",
            "1.0178698 0.79658633\n",
            "1.0180877 0.79732144\n",
            "1.0183055 0.79656863\n",
            "1.0185235 0.79573643\n",
            "1.0187413 0.79636014\n",
            "1.0189592 0.7951704\n",
            "1.019177 0.79372656\n",
            "1.0193949 0.7932407\n",
            "1.0196128 0.793315\n",
            "1.0198306 0.79429346\n",
            "1.0200485 0.7952509\n",
            "1.0202663 0.79539007\n",
            "1.0204842 0.7944737\n",
            "1.0207021 0.79409724\n",
            "1.0209199 0.7927835\n",
            "1.0211378 0.79328233\n",
            "1.0213556 0.7943603\n",
            "1.0215735 0.79508334\n",
            "1.0217913 0.7945545\n",
            "1.0220093 0.79346406\n",
            "1.0222272 0.7944984\n",
            "1.022445 0.7946314\n",
            "1.0226629 0.7948413\n",
            "1.0228807 0.7952044\n",
            "1.0230986 0.795405\n",
            "1.0233164 0.79467595\n",
            "1.0235343 0.7945719\n",
            "1.0237522 0.7950758\n",
            "1.02397 0.7942192\n",
            "1.0241879 0.79434526\n",
            "1.0244057 0.7948378\n",
            "1.0246236 0.79510236\n",
            "1.0248414 0.7945652\n",
            "1.0250593 0.79410917\n",
            "1.0252773 0.7948006\n",
            "1.025495 0.79456216\n",
            "1.025713 0.79509807\n",
            "1.0259308 0.79444444\n",
            "1.0261487 0.79511017\n",
            "1.0263665 0.7952186\n",
            "1.0265844 0.7946477\n",
            "1.0268023 0.79408604\n",
            "1.0270201 0.79466665\n",
            "1.027238 0.7956349\n",
            "1.0274558 0.7956693\n",
            "1.0276737 0.7957031\n",
            "1.0278915 0.7960594\n",
            "1.0281094 0.7969231\n",
            "1.0283273 0.7968829\n",
            "1.0285451 0.7965278\n",
            "1.028763 0.79730576\n",
            "1.0289809 0.79794776\n",
            "1.0291988 0.7984568\n",
            "1.0294166 0.7987132\n",
            "1.0296345 0.7985402\n",
            "1.0298524 0.79849035\n",
            "1.0300702 0.79898083\n",
            "1.0302881 0.79910713\n",
            "1.0305059 0.7993499\n",
            "1.0307238 0.79982394\n",
            "1.0309416 0.80040795\n",
            "1.0311595 0.80069447\n",
            "1.0313774 0.80126435\n",
            "1.0315952 0.8019406\n",
            "1.0318131 0.80221087\n",
            "1.0320309 0.8024775\n",
            "1.0322489 0.80262864\n",
            "1.0324668 0.8029444\n",
            "1.0326846 0.8032009\n",
            "1.0329025 0.80361843\n",
            "1.0331203 0.80413944\n",
            "1.0333382 0.80454546\n",
            "1.033556 0.805\n",
            "1.0337739 0.80528843\n",
            "1.0339918 0.8051486\n",
            "1.0342096 0.8052215\n",
            "1.0344275 0.80518866\n",
            "1.0346453 0.80552083\n",
            "1.0348632 0.80559003\n",
            "1.035081 0.8061214\n",
            "1.035299 0.80654395\n",
            "1.0355169 0.8071138\n",
            "1.0357347 0.8068182\n",
            "1.0359526 0.8072289\n",
            "1.0361704 0.8073852\n",
            "1.0363883 0.80744046\n",
            "1.0366061 0.8081854\n",
            "1.036824 0.8088235\n",
            "1.0370419 0.8087719\n",
            "1.0372597 0.80910856\n",
            "1.0374776 0.8089114\n",
            "1.0376954 0.80895597\n",
            "1.0379133 0.80838096\n",
            "1.0381311 0.80710226\n",
            "1.038349 0.8074859\n",
            "1.038567 0.807912\n",
            "1.0387847 0.80777466\n",
            "1.0390027 0.80777776\n",
            "1.0392205 0.8076888\n",
            "1.0394384 0.80801284\n",
            "1.0396562 0.80824226\n",
            "1.0398741 0.8087409\n",
            "1.040092 0.8081982\n",
            "1.0403098 0.80824375\n",
            "1.0405277 0.8085116\n",
            "1.0407455 0.8084663\n",
            "1.0409634 0.8084656\n",
            "1.0411812 0.80903506\n",
            "1.0413991 0.8096859\n",
            "1.041617 0.81006944\n",
            "1.0418348 0.8104922\n",
            "1.0420527 0.8112543\n",
            "1.0422705 0.8115812\n",
            "1.0424885 0.8115221\n",
            "1.0427064 0.81209815\n",
            "1.0429242 0.8125\n",
            "1.0431421 0.8122278\n",
            "1.0433599 0.81225\n",
            "1.0435778 0.81252074\n",
            "1.0437956 0.8127063\n",
            "1.0440135 0.81301314\n",
            "1.0442314 0.81286764\n",
            "1.0444492 0.8131301\n",
            "1.0446671 0.8134709\n",
            "1.0448849 0.81396943\n",
            "1.0451028 0.81414264\n",
            "1.0453206 0.8144737\n",
            "1.0455385 0.8148413\n",
            "1.0457565 0.81512636\n",
            "1.0459743 0.8156447\n",
            "1.0461922 0.81611896\n",
            "1.04641 0.8163941\n",
            "1.0466279 0.8167442\n",
            "1.0468457 0.81724536\n",
            "1.0470636 0.8172427\n",
            "1.0472815 0.81766057\n",
            "1.0474993 0.8178463\n",
            "1.0477172 0.8176894\n",
            "1.047935 0.81776017\n",
            "1.0481529 0.818018\n",
            "1.0483707 0.81827354\n",
            "1.0485886 0.81845236\n",
            "1.0488065 0.8184074\n",
            "1.0490243 0.8182891\n",
            "1.0492423 0.8183921\n",
            "1.04946 0.8183845\n",
            "1.049678 0.8187045\n",
            "1.0498958 0.8189855\n",
            "1.0501137 0.81901157\n",
            "1.0503316 0.81939656\n",
            "1.0505494 0.81977826\n",
            "1.0507673 0.8198718\n",
            "1.0509851 0.82\n",
            "1.051203 0.8200565\n",
            "1.0514208 0.8200422\n",
            "1.0516387 0.82006305\n",
            "1.0518566 0.8197001\n",
            "1.0520744 0.8192014\n",
            "1.0522923 0.8193292\n",
            "1.0525101 0.8194904\n",
            "1.052728 0.81982166\n",
            "1.0529459 0.8197404\n",
            "1.0531638 0.820034\n",
            "1.0533817 0.8199187\n",
            "1.0535995 0.81966937\n",
            "1.0538174 0.8194556\n",
            "1.0540352 0.81880856\n",
            "1.0542531 0.8183\n",
            "1.054471 0.8185259\n",
            "1.0546888 0.81841934\n",
            "1.0549067 0.8184453\n",
            "1.0551245 0.81856954\n",
            "1.0553424 0.8186928\n",
            "1.0555602 0.8187174\n",
            "1.0557781 0.81877434\n",
            "1.0559961 0.81918603\n",
            "1.0562139 0.8192728\n",
            "1.0564318 0.81932694\n",
            "1.0566496 0.8195402\n",
            "1.0568675 0.81956106\n",
            "1.0570853 0.81961346\n",
            "1.0573032 0.81934977\n",
            "1.0575211 0.8195283\n",
            "1.0577389 0.81983083\n",
            "1.0579568 0.8198814\n",
            "1.0581746 0.81980723\n",
            "1.0583925 0.81995046\n",
            "1.0586103 0.82012343\n",
            "1.0588282 0.8203875\n",
            "1.0590461 0.82068014\n",
            "1.059264 0.8207265\n",
            "1.0594819 0.8207725\n",
            "1.0596997 0.8209697\n",
            "1.0599176 0.8212258\n",
            "1.0601354 0.82141995\n",
            "1.0603533 0.8215228\n",
            "1.0605712 0.82165474\n",
            "1.060789 0.82166666\n",
            "1.0610069 0.8217378\n",
            "1.0612247 0.82166076\n",
            "1.0614426 0.82173145\n",
            "1.0616604 0.8215082\n",
            "1.0618783 0.82163745\n",
            "1.0620962 0.821824\n",
            "1.062314 0.8220674\n",
            "1.062532 0.82216436\n",
            "1.0627497 0.8222607\n",
            "1.0629677 0.8223276\n",
            "1.0631855 0.8223941\n",
            "1.0634034 0.8224886\n",
            "1.0636213 0.82255405\n",
            "1.0638391 0.8225907\n",
            "1.064057 0.8222599\n",
            "1.0642748 0.82238173\n",
            "1.0644927 0.8223064\n",
            "1.0647106 0.8222595\n",
            "1.0649284 0.8224359\n",
            "1.0651463 0.8225\n",
            "1.0653641 0.8221761\n",
            "1.065582 0.8217991\n",
            "1.0657998 0.8218372\n",
            "1.0660177 0.82173795\n",
            "1.0662357 0.82183063\n",
            "1.0664535 0.8218137\n",
            "1.0666714 0.82185125\n",
            "1.0668892 0.82205087\n",
            "1.0671071 0.82219523\n",
            "1.0673249 0.8222312\n",
            "1.0675428 0.8218917\n",
            "1.0677607 0.8213675\n",
            "1.0679785 0.8215655\n",
            "1.0681964 0.8214172\n",
            "1.0684142 0.8212434\n",
            "1.0686321 0.8214926\n",
            "1.0688499 0.821714\n",
            "1.0690678 0.8216719\n",
            "1.0692858 0.8217868\n",
            "1.0695035 0.8219271\n",
            "1.0697215 0.82185876\n",
            "1.0699393 0.8217909\n",
            "1.0701572 0.821904\n",
            "1.070375 0.8211934\n",
            "1.0705929 0.8206154\n",
            "1.0708108 0.82067996\n",
            "1.0710286 0.8205148\n",
            "1.0712465 0.8199949\n",
            "1.0714643 0.81985813\n",
            "1.0716822 0.82\n",
            "1.0719 0.8201158\n",
            "1.0721179 0.8199548\n",
            "1.0723358 0.8200701\n",
            "1.0725536 0.8203094\n",
            "1.0727715 0.82017416\n",
            "1.0729893 0.8203373\n",
            "1.0732073 0.8203264\n",
            "1.073425 0.82051283\n",
            "1.073643 0.82052606\n",
            "1.0738609 0.82031864\n",
            "1.0740787 0.82040566\n",
            "1.0742966 0.82041913\n",
            "1.0745144 0.82048106\n",
            "1.0747323 0.8204457\n",
            "1.0749502 0.82038647\n",
            "1.075168 0.8204239\n",
            "1.0753859 0.8204611\n",
            "1.0756037 0.820522\n",
            "1.0758216 0.8205826\n",
            "1.0760394 0.8207857\n",
            "1.0762573 0.8209164\n",
            "1.0764753 0.8212595\n",
            "1.076693 0.82119924\n",
            "1.076911 0.8215395\n",
            "1.0771288 0.821784\n",
            "1.0773467 0.8218867\n",
            "1.0775645 0.8220588\n",
            "1.0777824 0.8222067\n",
            "1.0780003 0.82246983\n",
            "1.0782181 0.82247686\n",
            "1.078436 0.8225069\n",
            "1.0786538 0.8225368\n",
            "1.0788717 0.82279617\n",
            "1.0790895 0.82284796\n",
            "1.0793074 0.8227854\n",
            "1.0795254 0.82295084\n",
            "1.0797431 0.8232062\n",
            "1.0799611 0.82327896\n",
            "1.0801789 0.823374\n",
            "1.0803968 0.8235811\n",
            "1.0806146 0.8236972\n",
            "1.0808325 0.8239247\n",
            "1.0810504 0.82403934\n",
            "1.0812682 0.8241756\n",
            "1.0814861 0.8241778\n",
            "1.0817039 0.8243573\n",
            "1.0819218 0.82429266\n",
            "1.0821396 0.8244709\n",
            "1.0823575 0.8243184\n",
            "1.0825754 0.8241447\n",
            "1.0827932 0.8242126\n",
            "1.0830112 0.82423645\n",
            "1.083229 0.8244125\n",
            "1.0834469 0.82452255\n",
            "1.0836647 0.8247186\n",
            "1.0838826 0.8248273\n",
            "1.0841005 0.8247847\n",
            "1.0843183 0.8250215\n",
            "1.0845362 0.8250857\n",
            "1.084754 0.82519233\n",
            "1.0849719 0.8252771\n",
            "1.0851897 0.8252338\n",
            "1.0854076 0.8254453\n",
            "1.0856255 0.8255499\n",
            "1.0858433 0.82569623\n",
            "1.0860612 0.82575756\n",
            "1.086279 0.8258606\n",
            "1.086497 0.8259213\n",
            "1.0867149 0.8260234\n",
            "1.0869327 0.82608336\n",
            "1.0871506 0.8262053\n",
            "1.0873684 0.826306\n",
            "1.0875863 0.82648885\n",
            "1.0878041 0.8265883\n",
            "1.088022 0.82660496\n",
            "1.0882399 0.8268678\n",
            "1.0884577 0.827068\n",
            "1.0886756 0.8271446\n",
            "1.0888934 0.8270986\n",
            "1.0891113 0.82713413\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "E1Uk1HWL8ykG",
        "colab_type": "text"
      },
      "source": [
        "#$ Training \\, the \\, model $#\n",
        "$ Here \\, all \\, the \\, layers \\, of \\, the \\, pretrained \\, model \\, are \\, frozen$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eoS58p_Gxukp",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "base_model = vgg.VGG16(weights='imagenet', \n",
        "                       include_top=False, \n",
        "                       input_shape=(32, 32, 3))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CNxYlZ-89a3-",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "last = base_model.layers[-1].output"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lAUJ3VYP9de0",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "last=GlobalAveragePooling2D()(last)\n",
        "last=Dense(512,name='dense_top_1')(last)\n",
        "x=BatchNormalization(name='batch_norm_top_1')(last)\n",
        "x=Activation('relu',name='activation_top_1')(x)\n",
        "x=Dense(256,name='dense_top_2')(x)\n",
        "x=BatchNormalization(name='batch_norm_top_2')(x)\n",
        "x=Activation('relu',name='activation_top_2')(x)\n",
        "pred=Dense(6, activation='softmax',name='dense_top_3')(x)\n",
        "new_model=Model(base_model.input,pred)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rzNEQ5yt9gN8",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "for layer in base_model.layers:\n",
        "     layer.trainable = False"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4lTfzGSi9p0j",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "new_model.compile(loss='categorical_crossentropy',\n",
        "              optimizer=optimizers.Adam(),\n",
        "              metrics=['accuracy'])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NA5YEdk4-XYU",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "outputId": "321d301c-4d9d-4db8-dbbd-be0458deca3b"
      },
      "source": [
        "for layer in new_model.layers:\n",
        "    print(layer, layer.trainable)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<keras.engine.input_layer.InputLayer object at 0x7f1a7d554d30> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d554da0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d554fd0> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7d4ee588> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d4ee400> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d4eefd0> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7d4f1c50> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d4f1a90> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d4f56d8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d4fd358> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7d4fdda0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d4fdbe0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d506e48> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d50c4a8> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7d50cef0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d50cd30> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d511f98> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7d49c5f8> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7d49ce10> False\n",
            "<keras.layers.pooling.GlobalAveragePooling2D object at 0x7f1a7d4b7358> True\n",
            "<keras.layers.core.Dense object at 0x7f1a7d4b7320> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f1a7d4b73c8> True\n",
            "<keras.layers.core.Activation object at 0x7f1a7d4b76d8> True\n",
            "<keras.layers.core.Dense object at 0x7f1a7d4b7748> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f1a7d4b75f8> True\n",
            "<keras.layers.core.Activation object at 0x7f1a7d4c5588> True\n",
            "<keras.layers.core.Dense object at 0x7f1a7d4c51d0> True\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aSH9714C92DH",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "836d355d-22cb-4495-955c-1b1c2912ffd6"
      },
      "source": [
        "new_model.summary()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"model_4\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_4 (InputLayer)         (None, 32, 32, 3)         0         \n",
            "_________________________________________________________________\n",
            "block1_conv1 (Conv2D)        (None, 32, 32, 64)        1792      \n",
            "_________________________________________________________________\n",
            "block1_conv2 (Conv2D)        (None, 32, 32, 64)        36928     \n",
            "_________________________________________________________________\n",
            "block1_pool (MaxPooling2D)   (None, 16, 16, 64)        0         \n",
            "_________________________________________________________________\n",
            "block2_conv1 (Conv2D)        (None, 16, 16, 128)       73856     \n",
            "_________________________________________________________________\n",
            "block2_conv2 (Conv2D)        (None, 16, 16, 128)       147584    \n",
            "_________________________________________________________________\n",
            "block2_pool (MaxPooling2D)   (None, 8, 8, 128)         0         \n",
            "_________________________________________________________________\n",
            "block3_conv1 (Conv2D)        (None, 8, 8, 256)         295168    \n",
            "_________________________________________________________________\n",
            "block3_conv2 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_conv3 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_pool (MaxPooling2D)   (None, 4, 4, 256)         0         \n",
            "_________________________________________________________________\n",
            "block4_conv1 (Conv2D)        (None, 4, 4, 512)         1180160   \n",
            "_________________________________________________________________\n",
            "block4_conv2 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_conv3 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_pool (MaxPooling2D)   (None, 2, 2, 512)         0         \n",
            "_________________________________________________________________\n",
            "block5_conv1 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv2 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv3 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_pool (MaxPooling2D)   (None, 1, 1, 512)         0         \n",
            "_________________________________________________________________\n",
            "global_average_pooling2d_4 ( (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_1 (Dense)          (None, 512)               262656    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_1 (BatchNorma (None, 512)               2048      \n",
            "_________________________________________________________________\n",
            "activation_top_1 (Activation (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_2 (Dense)          (None, 256)               131328    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_2 (BatchNorma (None, 256)               1024      \n",
            "_________________________________________________________________\n",
            "activation_top_2 (Activation (None, 256)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_3 (Dense)          (None, 6)                 1542      \n",
            "=================================================================\n",
            "Total params: 15,113,286\n",
            "Trainable params: 397,062\n",
            "Non-trainable params: 14,716,224\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "r3OJK0i592sf",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "clr = CyclicLR(base_lr=0.36/5, max_lr=0.36,\n",
        "                        step_size=2295,mode='triangular2')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sdsf6y21uYKi",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "checkpointer = ModelCheckpoint(monitor='val_loss',filepath='bottleneck_model_vgg16.weights.best.hdf5', verbose = 1, save_best_only=True)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FxFJkJTj-E3P",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "955fe84d-958a-48fb-eea2-99fb09e35e07"
      },
      "source": [
        "history = new_model.fit(x_train,\n",
        "                        y_train, \n",
        "                        batch_size=120, \n",
        "                        epochs=15,\n",
        "                        validation_data=(x_val,y_val),\n",
        "                        callbacks=[clr,checkpointer], \n",
        "                        verbose=1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Train on 275400 samples, validate on 48600 samples\n",
            "Epoch 1/15\n",
            "275400/275400 [==============================] - 283s 1ms/step - loss: 0.2115 - accuracy: 0.9278 - val_loss: 0.3837 - val_accuracy: 0.8798\n",
            "\n",
            "Epoch 00001: val_loss improved from inf to 0.38370, saving model to bottleneck_model_vgg16.weights.best.hdf5\n",
            "Epoch 2/15\n",
            "275400/275400 [==============================] - 281s 1ms/step - loss: 0.1247 - accuracy: 0.9566 - val_loss: 0.0888 - val_accuracy: 0.9690\n",
            "\n",
            "Epoch 00002: val_loss improved from 0.38370 to 0.08878, saving model to bottleneck_model_vgg16.weights.best.hdf5\n",
            "Epoch 3/15\n",
            "275400/275400 [==============================] - 279s 1ms/step - loss: 0.1072 - accuracy: 0.9621 - val_loss: 0.2148 - val_accuracy: 0.9433\n",
            "\n",
            "Epoch 00003: val_loss did not improve from 0.08878\n",
            "Epoch 4/15\n",
            "275400/275400 [==============================] - 280s 1ms/step - loss: 0.0941 - accuracy: 0.9669 - val_loss: 0.0762 - val_accuracy: 0.9735\n",
            "\n",
            "Epoch 00004: val_loss improved from 0.08878 to 0.07621, saving model to bottleneck_model_vgg16.weights.best.hdf5\n",
            "Epoch 5/15\n",
            "275400/275400 [==============================] - 281s 1ms/step - loss: 0.0822 - accuracy: 0.9706 - val_loss: 0.2972 - val_accuracy: 0.9319\n",
            "\n",
            "Epoch 00005: val_loss did not improve from 0.07621\n",
            "Epoch 6/15\n",
            "275400/275400 [==============================] - 281s 1ms/step - loss: 0.0771 - accuracy: 0.9725 - val_loss: 0.0853 - val_accuracy: 0.9690\n",
            "\n",
            "Epoch 00006: val_loss did not improve from 0.07621\n",
            "Epoch 7/15\n",
            "275400/275400 [==============================] - 280s 1ms/step - loss: 0.0688 - accuracy: 0.9752 - val_loss: 0.0864 - val_accuracy: 0.9689\n",
            "\n",
            "Epoch 00007: val_loss did not improve from 0.07621\n",
            "Epoch 8/15\n",
            "275400/275400 [==============================] - 282s 1ms/step - loss: 0.0657 - accuracy: 0.9764 - val_loss: 0.0738 - val_accuracy: 0.9744\n",
            "\n",
            "Epoch 00008: val_loss improved from 0.07621 to 0.07381, saving model to bottleneck_model_vgg16.weights.best.hdf5\n",
            "Epoch 9/15\n",
            "275400/275400 [==============================] - 280s 1ms/step - loss: 0.0614 - accuracy: 0.9778 - val_loss: 0.0704 - val_accuracy: 0.9755\n",
            "\n",
            "Epoch 00009: val_loss improved from 0.07381 to 0.07038, saving model to bottleneck_model_vgg16.weights.best.hdf5\n",
            "Epoch 10/15\n",
            "275400/275400 [==============================] - 280s 1ms/step - loss: 0.0592 - accuracy: 0.9785 - val_loss: 0.0657 - val_accuracy: 0.9777\n",
            "\n",
            "Epoch 00010: val_loss improved from 0.07038 to 0.06569, saving model to bottleneck_model_vgg16.weights.best.hdf5\n",
            "Epoch 11/15\n",
            "275400/275400 [==============================] - 282s 1ms/step - loss: 0.0577 - accuracy: 0.9789 - val_loss: 0.0701 - val_accuracy: 0.9761\n",
            "\n",
            "Epoch 00011: val_loss did not improve from 0.06569\n",
            "Epoch 12/15\n",
            "275400/275400 [==============================] - 281s 1ms/step - loss: 0.0555 - accuracy: 0.9797 - val_loss: 0.0661 - val_accuracy: 0.9772\n",
            "\n",
            "Epoch 00012: val_loss did not improve from 0.06569\n",
            "Epoch 13/15\n",
            "275400/275400 [==============================] - 277s 1ms/step - loss: 0.0530 - accuracy: 0.9807 - val_loss: 0.0669 - val_accuracy: 0.9786\n",
            "\n",
            "Epoch 00013: val_loss did not improve from 0.06569\n",
            "Epoch 14/15\n",
            "275400/275400 [==============================] - 279s 1ms/step - loss: 0.0533 - accuracy: 0.9805 - val_loss: 0.0764 - val_accuracy: 0.9738\n",
            "\n",
            "Epoch 00014: val_loss did not improve from 0.06569\n",
            "Epoch 15/15\n",
            "275400/275400 [==============================] - 279s 1ms/step - loss: 0.0506 - accuracy: 0.9813 - val_loss: 0.0595 - val_accuracy: 0.9800\n",
            "\n",
            "Epoch 00015: val_loss improved from 0.06569 to 0.05945, saving model to bottleneck_model_vgg16.weights.best.hdf5\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TI3VwKsh-KpR",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 318
        },
        "outputId": "4e643af2-7d84-415c-a481-b746d55798c0"
      },
      "source": [
        "plt.xlabel('Training Iterations')\n",
        "plt.ylabel('Learning Rate')\n",
        "plt.title(\"Learning rate range test\")\n",
        "plt.plot(clr.history['iterations'], clr.history['lr'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f1a7ce0fc18>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 55
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZddN5-H3vv70",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 375
        },
        "outputId": "b6ac07e7-67cd-4128-d29e-b3d2d7da79ef"
      },
      "source": [
        "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 5))\n",
        "t = f.suptitle('Top layer Performance', fontsize=12)\n",
        "f.subplots_adjust(top=0.85, wspace=0.3)\n",
        "\n",
        "epochs = list(range(1,15+1))\n",
        "ax1.plot(epochs, history.history['accuracy'], label='Train Accuracy')\n",
        "ax1.plot(epochs, history.history['val_accuracy'], label='Validation Accuracy')\n",
        "ax1.set_xticks(epochs)\n",
        "ax1.set_ylabel('Accuracy Value')\n",
        "ax1.set_xlabel('Epoch')\n",
        "ax1.set_title('Accuracy')\n",
        "l1 = ax1.legend(loc=\"best\")\n",
        "\n",
        "ax2.plot(epochs, history.history['loss'], label='Train Loss')\n",
        "ax2.plot(epochs, history.history['val_loss'], label='Validation Loss')\n",
        "ax2.set_xticks(epochs)\n",
        "ax2.set_ylabel('Loss Value')\n",
        "ax2.set_xlabel('Epoch')\n",
        "ax2.set_title('Loss')\n",
        "l2 = ax2.legend(loc=\"best\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 1080x360 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zfYVEPlY9JkF",
        "colab_type": "text"
      },
      "source": [
        "#$ Learning \\, Range \\, Test $#\n",
        "$ Here \\, some \\, layers \\, of \\, the \\, pre-trained \\, model \\, are \\, set \\, as \\, trainable \\, along \\, with \\, the \\, classifier-block$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cTBn_pdp0bJB",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "final_base_model=vgg.VGG16(weights='imagenet', \n",
        "                       include_top=False, \n",
        "                       input_shape=(32, 32, 3))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2j9U52ey0w4-",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "last = final_base_model.layers[-1].output\n",
        "last=GlobalAveragePooling2D()(last)\n",
        "last=Dense(512,name='dense_top_1')(last)\n",
        "x=BatchNormalization(name='batch_norm_top_1')(last)\n",
        "x=Activation('relu',name='activation_top_1')(x)\n",
        "x=Dense(256,name='dense_top_2')(x)\n",
        "x=BatchNormalization(name='batch_norm_top_2')(x)\n",
        "x=Activation('relu',name='activation_top_2')(x)\n",
        "pred=Dense(6, activation='softmax',name='dense_top_3')(x)\n",
        "final_model=Model(final_base_model.input,pred)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-4xgGl0k1Ezv",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "final_model.load_weights('bottleneck_model_vgg16.weights.best.hdf5')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ugdRCEKyJHS-",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "8bb9828e-ac14-4e86-bacc-b175f4b1a776"
      },
      "source": [
        "final_model.summary()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"model_5\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_5 (InputLayer)         (None, 32, 32, 3)         0         \n",
            "_________________________________________________________________\n",
            "block1_conv1 (Conv2D)        (None, 32, 32, 64)        1792      \n",
            "_________________________________________________________________\n",
            "block1_conv2 (Conv2D)        (None, 32, 32, 64)        36928     \n",
            "_________________________________________________________________\n",
            "block1_pool (MaxPooling2D)   (None, 16, 16, 64)        0         \n",
            "_________________________________________________________________\n",
            "block2_conv1 (Conv2D)        (None, 16, 16, 128)       73856     \n",
            "_________________________________________________________________\n",
            "block2_conv2 (Conv2D)        (None, 16, 16, 128)       147584    \n",
            "_________________________________________________________________\n",
            "block2_pool (MaxPooling2D)   (None, 8, 8, 128)         0         \n",
            "_________________________________________________________________\n",
            "block3_conv1 (Conv2D)        (None, 8, 8, 256)         295168    \n",
            "_________________________________________________________________\n",
            "block3_conv2 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_conv3 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_pool (MaxPooling2D)   (None, 4, 4, 256)         0         \n",
            "_________________________________________________________________\n",
            "block4_conv1 (Conv2D)        (None, 4, 4, 512)         1180160   \n",
            "_________________________________________________________________\n",
            "block4_conv2 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_conv3 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_pool (MaxPooling2D)   (None, 2, 2, 512)         0         \n",
            "_________________________________________________________________\n",
            "block5_conv1 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv2 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv3 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_pool (MaxPooling2D)   (None, 1, 1, 512)         0         \n",
            "_________________________________________________________________\n",
            "global_average_pooling2d_5 ( (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_1 (Dense)          (None, 512)               262656    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_1 (BatchNorma (None, 512)               2048      \n",
            "_________________________________________________________________\n",
            "activation_top_1 (Activation (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_2 (Dense)          (None, 256)               131328    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_2 (BatchNorma (None, 256)               1024      \n",
            "_________________________________________________________________\n",
            "activation_top_2 (Activation (None, 256)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_3 (Dense)          (None, 6)                 1542      \n",
            "=================================================================\n",
            "Total params: 15,113,286\n",
            "Trainable params: 7,476,486\n",
            "Non-trainable params: 7,636,800\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "glQXZ_sE_xlW",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "for i in range(len(final_model.layers)-12):\n",
        "  final_model.layers[i].trainable = False"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jfhgCVzTISw_",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "outputId": "a1188aeb-5ffe-43f3-b505-16f54a124e5c"
      },
      "source": [
        "for layer in final_model.layers:\n",
        "    print(layer, layer.trainable)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<keras.engine.input_layer.InputLayer object at 0x7f1a7cc26c18> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cc26d68> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cc26fd0> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7cc26748> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cc26940> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7ccbfd68> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7ccb6c88> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb8cc88> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7ccc97b8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb2a0b8> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7cb2ae10> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb2ac50> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb33eb8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb37518> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7cb37da0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb37d68> True\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb3dac8> True\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f1a7cb44668> True\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f1a7cb44e80> True\n",
            "<keras.layers.pooling.GlobalAveragePooling2D object at 0x7f1a7cadf5c0> True\n",
            "<keras.layers.core.Dense object at 0x7f1a7cadf588> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f1a7cadf5f8> True\n",
            "<keras.layers.core.Activation object at 0x7f1a7cadf908> True\n",
            "<keras.layers.core.Dense object at 0x7f1a7cadf978> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f1a7cadf828> True\n",
            "<keras.layers.core.Activation object at 0x7f1a7caeb7b8> True\n",
            "<keras.layers.core.Dense object at 0x7f1a7caeb2e8> True\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "o2bvWPt6_1YK",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "final_model.compile(loss='categorical_crossentropy',\n",
        "              optimizer=Adam(),\n",
        "              metrics=['accuracy'])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Khj9MRdgFcvY",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "c8e7e25a-d5d9-4121-9c79-0a41b5aee513"
      },
      "source": [
        "final_model.summary()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"model_5\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_5 (InputLayer)         (None, 32, 32, 3)         0         \n",
            "_________________________________________________________________\n",
            "block1_conv1 (Conv2D)        (None, 32, 32, 64)        1792      \n",
            "_________________________________________________________________\n",
            "block1_conv2 (Conv2D)        (None, 32, 32, 64)        36928     \n",
            "_________________________________________________________________\n",
            "block1_pool (MaxPooling2D)   (None, 16, 16, 64)        0         \n",
            "_________________________________________________________________\n",
            "block2_conv1 (Conv2D)        (None, 16, 16, 128)       73856     \n",
            "_________________________________________________________________\n",
            "block2_conv2 (Conv2D)        (None, 16, 16, 128)       147584    \n",
            "_________________________________________________________________\n",
            "block2_pool (MaxPooling2D)   (None, 8, 8, 128)         0         \n",
            "_________________________________________________________________\n",
            "block3_conv1 (Conv2D)        (None, 8, 8, 256)         295168    \n",
            "_________________________________________________________________\n",
            "block3_conv2 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_conv3 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_pool (MaxPooling2D)   (None, 4, 4, 256)         0         \n",
            "_________________________________________________________________\n",
            "block4_conv1 (Conv2D)        (None, 4, 4, 512)         1180160   \n",
            "_________________________________________________________________\n",
            "block4_conv2 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_conv3 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_pool (MaxPooling2D)   (None, 2, 2, 512)         0         \n",
            "_________________________________________________________________\n",
            "block5_conv1 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv2 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv3 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_pool (MaxPooling2D)   (None, 1, 1, 512)         0         \n",
            "_________________________________________________________________\n",
            "global_average_pooling2d_5 ( (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_1 (Dense)          (None, 512)               262656    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_1 (BatchNorma (None, 512)               2048      \n",
            "_________________________________________________________________\n",
            "activation_top_1 (Activation (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_2 (Dense)          (None, 256)               131328    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_2 (BatchNorma (None, 256)               1024      \n",
            "_________________________________________________________________\n",
            "activation_top_2 (Activation (None, 256)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_3 (Dense)          (None, 6)                 1542      \n",
            "=================================================================\n",
            "Total params: 15,113,286\n",
            "Trainable params: 7,476,486\n",
            "Non-trainable params: 7,636,800\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OU_mCuu5Jt9u",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "clr = CyclicLR(base_lr=1e-7, max_lr=2,\n",
        "                        step_size=4*2295)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wqCm1U7hJ0vE",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 168
        },
        "outputId": "68424a31-708e-419f-ff20-94ddb4e90a27"
      },
      "source": [
        "history = final_model.fit(x_train,\n",
        "                        y_train, \n",
        "                        batch_size=120, \n",
        "                        epochs=4,\n",
        "                        validation_data=(x_val,y_val),\n",
        "                        callbacks=[clr], \n",
        "                        verbose=1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Train on 275400 samples, validate on 48600 samples\n",
            "Epoch 1/4\n",
            "275400/275400 [==============================] - 601s 2ms/step - loss: 0.2027 - accuracy: 0.9364 - val_loss: 21.0602 - val_accuracy: 0.7147\n",
            "Epoch 2/4\n",
            "275400/275400 [==============================] - 602s 2ms/step - loss: 0.4340 - accuracy: 0.8517 - val_loss: 63.3463 - val_accuracy: 0.6394\n",
            "Epoch 3/4\n",
            "275400/275400 [==============================] - 615s 2ms/step - loss: 0.7867 - accuracy: 0.8528 - val_loss: 66597.3665 - val_accuracy: 0.3785\n",
            "Epoch 4/4\n",
            "275400/275400 [==============================] - 591s 2ms/step - loss: 1.5508 - accuracy: 0.4836 - val_loss: 1.1873 - val_accuracy: 0.5340\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XOm0f_N1J-7q",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 318
        },
        "outputId": "9329f158-d44e-486d-d6e1-5dddcffe0954"
      },
      "source": [
        "plt.xlabel('Training Iterations')\n",
        "plt.ylabel('Learning Rate')\n",
        "plt.title(\"Learning rate range test\")\n",
        "plt.plot(clr.history['iterations'], clr.history['lr'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f1a7c54d080>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 73
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8NEpt6WkKGjc",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 318
        },
        "outputId": "ec35a88e-591e-40a8-ee9f-299d9fbe4a3a"
      },
      "source": [
        "h = clr.history\n",
        "lr = h['lr']\n",
        "acc = h['accuracy']\n",
        "plt.xlabel('learning rate')\n",
        "plt.ylabel('Accuracy')\n",
        "plt.title(\"Learning rate range test\")\n",
        "plt.plot(lr,acc)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f1a7c4a8eb8>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 74
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mxOyfIEph4vD",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "d7244c7f-3bbd-4b9f-af9a-0790039e4fb0"
      },
      "source": [
        "for i in range(5000):\n",
        "  print(lr[i],acc[i])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n",
            "0.00021796492 0.9791667\n",
            "0.00043582983 0.8194444\n",
            "0.00065369473 0.81875\n",
            "0.00087155966 0.815\n",
            "0.0010894246 0.80138886\n",
            "0.0013072895 0.7940476\n",
            "0.0015251543 0.790625\n",
            "0.0017430193 0.77962965\n",
            "0.0019608843 0.77916664\n",
            "0.002178749 0.7772727\n",
            "0.002396614 0.7763889\n",
            "0.002614479 0.7724359\n",
            "0.0028323438 0.77261907\n",
            "0.0030502088 0.7677778\n",
            "0.0032680738 0.76770836\n",
            "0.0034859385 0.76666665\n",
            "0.0037038035 0.76805556\n",
            "0.0039216685 0.7719298\n",
            "0.0041395333 0.7733333\n",
            "0.0043573985 0.7734127\n",
            "0.0045752632 0.7768939\n",
            "0.004793128 0.7753623\n",
            "0.005010993 0.7809028\n",
            "0.005228858 0.783\n",
            "0.0054467227 0.7862179\n",
            "0.005664588 0.78765434\n",
            "0.0058824527 0.7904762\n",
            "0.0061003175 0.7933908\n",
            "0.0063181827 0.79555553\n",
            "0.0065360474 0.7981183\n",
            "0.006753912 0.8\n",
            "0.0069717774 0.80277777\n",
            "0.007189642 0.80514705\n",
            "0.007407507 0.80690473\n",
            "0.007625372 0.8076389\n",
            "0.007843236 0.8096847\n",
            "0.008061102 0.81096494\n",
            "0.008278967 0.8119658\n",
            "0.008496831 0.81104165\n",
            "0.008714696 0.8121951\n",
            "0.008932562 0.8126984\n",
            "0.009150426 0.8145349\n",
            "0.009368291 0.8164773\n",
            "0.009586156 0.8175926\n",
            "0.009804021 0.81811595\n",
            "0.010021886 0.81985813\n",
            "0.010239751 0.8204861\n",
            "0.010457615 0.8222789\n",
            "0.010675481 0.8236667\n",
            "0.010893346 0.825\n",
            "0.01111121 0.826282\n",
            "0.011329075 0.82767296\n",
            "0.011546941 0.82901233\n",
            "0.011764805 0.830303\n",
            "0.01198267 0.83125\n",
            "0.012200535 0.8324561\n",
            "0.0124184005 0.83189654\n",
            "0.012636265 0.8333333\n",
            "0.01285413 0.83416665\n",
            "0.013071995 0.8349727\n",
            "0.0132898595 0.83548385\n",
            "0.013507725 0.83637565\n",
            "0.01372559 0.8376302\n",
            "0.013943454 0.8384615\n",
            "0.0141613195 0.8397727\n",
            "0.014379185 0.84054726\n",
            "0.014597049 0.8419118\n",
            "0.014814914 0.84214973\n",
            "0.015032779 0.8427381\n",
            "0.015250644 0.84366196\n",
            "0.015468509 0.84479165\n",
            "0.015686374 0.8462329\n",
            "0.015904238 0.8467342\n",
            "0.016122103 0.8473333\n",
            "0.016339969 0.8484649\n",
            "0.016557833 0.84924245\n",
            "0.016775697 0.84989315\n",
            "0.016993564 0.85010546\n",
            "0.017211428 0.8503125\n",
            "0.017429292 0.8511317\n",
            "0.017647158 0.85172766\n",
            "0.017865023 0.85220885\n",
            "0.018082887 0.85238093\n",
            "0.018300753 0.8537255\n",
            "0.018518617 0.8537791\n",
            "0.018736482 0.85411876\n",
            "0.018954348 0.85520834\n",
            "0.019172212 0.8562734\n",
            "0.019390076 0.8564815\n",
            "0.019607943 0.85686815\n",
            "0.019825807 0.85733694\n",
            "0.020043671 0.8576165\n",
            "0.020261537 0.85824466\n",
            "0.020479402 0.8585965\n",
            "0.020697266 0.85842013\n",
            "0.020915132 0.85910654\n",
            "0.021132996 0.85986394\n",
            "0.02135086 0.8607744\n",
            "0.021568727 0.86141664\n",
            "0.021786591 0.8618812\n",
            "0.022004455 0.8626634\n",
            "0.022222321 0.8635113\n",
            "0.022440186 0.86402243\n",
            "0.02265805 0.8643651\n",
            "0.022875916 0.8648585\n",
            "0.02309378 0.8653427\n",
            "0.023311645 0.8648148\n",
            "0.023529511 0.86475533\n",
            "0.023747375 0.86530304\n",
            "0.02396524 0.8656907\n",
            "0.024183106 0.86592263\n",
            "0.02440097 0.86585546\n",
            "0.024618834 0.8664474\n",
            "0.0248367 0.86710143\n",
            "0.025054565 0.86767244\n",
            "0.025272429 0.8679487\n",
            "0.025490295 0.86829096\n",
            "0.02570816 0.86799717\n",
            "0.025926024 0.8684028\n",
            "0.02614389 0.86900824\n",
            "0.026361754 0.8693306\n",
            "0.026579618 0.8695122\n",
            "0.026797485 0.8692876\n",
            "0.027015349 0.8688\n",
            "0.027233213 0.869246\n",
            "0.02745108 0.86981624\n",
            "0.027668944 0.8702474\n",
            "0.027886808 0.87093025\n",
            "0.028104674 0.8713462\n",
            "0.028322538 0.8718193\n",
            "0.028540405 0.8720328\n",
            "0.028758269 0.8722431\n",
            "0.028976133 0.8726368\n",
            "0.029194 0.8732716\n",
            "0.029411864 0.87371325\n",
            "0.029629728 0.8742092\n",
            "0.029847594 0.8745773\n",
            "0.030065458 0.8748801\n",
            "0.030283323 0.8751786\n",
            "0.030501189 0.8751182\n",
            "0.030719053 0.87529343\n",
            "0.030936917 0.87529135\n",
            "0.031154783 0.8756366\n",
            "0.031372648 0.87597704\n",
            "0.031590514 0.8756849\n",
            "0.031808376 0.87596375\n",
            "0.032026242 0.87623876\n",
            "0.03224411 0.8763982\n",
            "0.03246197 0.8765\n",
            "0.032679837 0.8768212\n",
            "0.032897703 0.87713814\n",
            "0.033115566 0.8775599\n",
            "0.033333432 0.87770563\n",
            "0.033551298 0.87801075\n",
            "0.03376916 0.8784188\n",
            "0.033987027 0.8786624\n",
            "0.034204893 0.87906116\n",
            "0.034422755 0.87961215\n",
            "0.03464062 0.8796875\n",
            "0.034858488 0.87996894\n",
            "0.03507635 0.88024694\n",
            "0.035294216 0.88047034\n",
            "0.035512082 0.8808435\n",
            "0.035729945 0.88116163\n",
            "0.03594781 0.8813755\n",
            "0.036165677 0.88183635\n",
            "0.03638354 0.88219243\n",
            "0.036601406 0.8825937\n",
            "0.03681927 0.88284314\n",
            "0.037037134 0.8834308\n",
            "0.037255 0.88352716\n",
            "0.037472866 0.88381505\n",
            "0.03769073 0.8841475\n",
            "0.037908595 0.88457143\n",
            "0.03812646 0.88480115\n",
            "0.038344324 0.88498116\n",
            "0.03856219 0.8851592\n",
            "0.038780056 0.8855214\n",
            "0.03899792 0.8859722\n",
            "0.039215785 0.88627994\n",
            "0.03943365 0.88681316\n",
            "0.039651513 0.88702184\n",
            "0.03986938 0.88731885\n",
            "0.040087245 0.88779277\n",
            "0.040305108 0.88821685\n",
            "0.040522974 0.88836896\n",
            "0.04074084 0.88874114\n",
            "0.040958703 0.8891975\n",
            "0.04117657 0.88951755\n",
            "0.041394435 0.88987786\n",
            "0.041612297 0.89014757\n",
            "0.041830163 0.89054406\n",
            "0.04204803 0.8907646\n",
            "0.042265892 0.89111114\n",
            "0.04248376 0.89132655\n",
            "0.042701624 0.89170897\n",
            "0.042919487 0.8919192\n",
            "0.043137353 0.8922111\n",
            "0.04335522 0.89241666\n",
            "0.04357308 0.8927861\n",
            "0.043790948 0.8929868\n",
            "0.044008814 0.89318556\n",
            "0.044226676 0.893464\n",
            "0.044444542 0.8937398\n",
            "0.04466241 0.8938916\n",
            "0.04488027 0.8940016\n",
            "0.045098137 0.8943109\n",
            "0.045316003 0.89433813\n",
            "0.045533866 0.8946032\n",
            "0.04575173 0.8946682\n",
            "0.045969598 0.894772\n",
            "0.04618746 0.89507043\n",
            "0.046405327 0.89524925\n",
            "0.046623193 0.8953876\n",
            "0.046841055 0.8957562\n",
            "0.04705892 0.8959677\n",
            "0.047276787 0.8962538\n",
            "0.04749465 0.89642316\n",
            "0.047712516 0.8965909\n",
            "0.047930382 0.8967572\n",
            "0.048148245 0.896997\n",
            "0.04836611 0.8971973\n",
            "0.048583977 0.89735866\n",
            "0.04880184 0.8974074\n",
            "0.049019706 0.8976033\n",
            "0.04923757 0.8979809\n",
            "0.049455434 0.89813596\n",
            "0.0496733 0.89836246\n",
            "0.049891166 0.8985145\n",
            "0.05010903 0.8987374\n",
            "0.050326895 0.89892244\n",
            "0.05054476 0.8991416\n",
            "0.050762624 0.899359\n",
            "0.05098049 0.8994326\n",
            "0.051198356 0.89943504\n",
            "0.05141622 0.8994374\n",
            "0.051634084 0.89968485\n",
            "0.05185195 0.8998605\n",
            "0.052069813 0.9001736\n",
            "0.05228768 0.90041494\n",
            "0.052505545 0.90061986\n",
            "0.052723408 0.90092593\n",
            "0.052941274 0.90119535\n",
            "0.05315914 0.9012925\n",
            "0.053377002 0.9014905\n",
            "0.05359487 0.90155196\n",
            "0.053812735 0.90184814\n",
            "0.054030597 0.90197456\n",
            "0.054248463 0.9022667\n",
            "0.05446633 0.9023904\n",
            "0.054684192 0.9025463\n",
            "0.054902058 0.9027668\n",
            "0.055119924 0.90295273\n",
            "0.055337787 0.90300655\n",
            "0.055555653 0.9030599\n",
            "0.05577352 0.9032425\n",
            "0.05599138 0.9033915\n",
            "0.056209248 0.90344274\n",
            "0.056427114 0.90339744\n",
            "0.056644976 0.90348023\n",
            "0.056862842 0.90368956\n",
            "0.05708071 0.9036122\n",
            "0.05729857 0.9037563\n",
            "0.057516437 0.9039937\n",
            "0.057734303 0.90413535\n",
            "0.057952166 0.90411985\n",
            "0.05817003 0.9041356\n",
            "0.058387898 0.9042751\n",
            "0.05860576 0.90447533\n",
            "0.058823626 0.9046433\n",
            "0.059041493 0.9047488\n",
            "0.059259355 0.90491456\n",
            "0.05947722 0.90507907\n",
            "0.059695087 0.905303\n",
            "0.05991295 0.90540457\n",
            "0.060130816 0.9055355\n",
            "0.060348682 0.9056355\n",
            "0.060566545 0.9058542\n",
            "0.06078441 0.9058631\n",
            "0.061002277 0.9059905\n",
            "0.06122014 0.9062648\n",
            "0.061438005 0.9064488\n",
            "0.06165587 0.9066021\n",
            "0.061873734 0.90672517\n",
            "0.0620916 0.90693474\n",
            "0.062309466 0.90705574\n",
            "0.06252733 0.90729165\n",
            "0.0627452 0.9074395\n",
            "0.06296306 0.9076724\n",
            "0.06318092 0.9077606\n",
            "0.06339879 0.90787673\n",
            "0.063616656 0.90807736\n",
            "0.06383452 0.9080499\n",
            "0.06405239 0.90822035\n",
            "0.06427025 0.9083896\n",
            "0.06448811 0.90867\n",
            "0.06470598 0.9087528\n",
            "0.064923845 0.9089186\n",
            "0.06514171 0.9091389\n",
            "0.06535958 0.90913624\n",
            "0.06557744 0.90940946\n",
            "0.0657953 0.90959847\n",
            "0.06601317 0.90967655\n",
            "0.066231035 0.909918\n",
            "0.0664489 0.9099673\n",
            "0.06666677 0.9100706\n",
            "0.06688463 0.9101461\n",
            "0.06710249 0.9101402\n",
            "0.06732036 0.9100269\n",
            "0.067538224 0.91010183\n",
            "0.06775609 0.9101763\n",
            "0.06797396 0.9103834\n",
            "0.06819182 0.9104034\n",
            "0.06840968 0.9104762\n",
            "0.06862755 0.91062766\n",
            "0.06884541 0.9108307\n",
            "0.069063276 0.91092765\n",
            "0.069281146 0.91089344\n",
            "0.06949901 0.9108854\n",
            "0.06971687 0.9110332\n",
            "0.06993474 0.91112834\n",
            "0.0701526 0.91122293\n",
            "0.070370466 0.911214\n",
            "0.070588335 0.9112051\n",
            "0.0708062 0.9112986\n",
            "0.07102406 0.91141695\n",
            "0.07124193 0.91150916\n",
            "0.07145979 0.9114995\n",
            "0.071677655 0.91161615\n",
            "0.071895525 0.9117069\n",
            "0.07211339 0.9118976\n",
            "0.07233125 0.9118869\n",
            "0.07254912 0.912001\n",
            "0.07276698 0.91189057\n",
            "0.072984844 0.91192955\n",
            "0.073202714 0.91189414\n",
            "0.07342058 0.91193295\n",
            "0.07363844 0.91199607\n",
            "0.07385631 0.9121569\n",
            "0.07407417 0.9122923\n",
            "0.074292034 0.9124025\n",
            "0.074509904 0.91248786\n",
            "0.074727766 0.9125969\n",
            "0.07494563 0.91272944\n",
            "0.0751635 0.9129335\n",
            "0.07538136 0.91306436\n",
            "0.07559922 0.9131226\n",
            "0.07581709 0.91337156\n",
            "0.076034956 0.91347617\n",
            "0.07625282 0.913509\n",
            "0.07647069 0.9136364\n",
            "0.07668855 0.9138102\n",
            "0.07690641 0.91393596\n",
            "0.07712428 0.9139906\n",
            "0.077342145 0.91413856\n",
            "0.07756001 0.9142157\n",
            "0.07777788 0.91422254\n",
            "0.07799574 0.9143454\n",
            "0.0782136 0.9143519\n",
            "0.07843147 0.9143813\n",
            "0.078649335 0.9144567\n",
            "0.0788672 0.9144169\n",
            "0.07908507 0.9144689\n",
            "0.07930293 0.9144521\n",
            "0.07952079 0.91457194\n",
            "0.07973866 0.9147139\n",
            "0.079956524 0.9147871\n",
            "0.08017439 0.9148374\n",
            "0.08039226 0.915\n",
            "0.08061012 0.91513926\n",
            "0.08082798 0.91525537\n",
            "0.08104585 0.9153038\n",
            "0.08126371 0.91535205\n",
            "0.081481576 0.9154889\n",
            "0.081699446 0.915625\n",
            "0.08191731 0.9158046\n",
            "0.08213517 0.91593915\n",
            "0.08235304 0.91591907\n",
            "0.0825709 0.9160307\n",
            "0.082788765 0.9161636\n",
            "0.083006635 0.9161431\n",
            "0.0832245 0.916275\n",
            "0.08344236 0.9163628\n",
            "0.08366023 0.91647184\n",
            "0.08387809 0.9165155\n",
            "0.084095955 0.9166021\n",
            "0.084313825 0.9167096\n",
            "0.08453169 0.9167738\n",
            "0.08474955 0.916859\n",
            "0.08496742 0.9169011\n",
            "0.08518528 0.9169856\n",
            "0.085403144 0.91704834\n",
            "0.085621014 0.9171108\n",
            "0.08583888 0.91723627\n",
            "0.08605674 0.91729796\n",
            "0.08627461 0.91727537\n",
            "0.08649247 0.91725296\n",
            "0.086710334 0.91729325\n",
            "0.0869282 0.91727084\n",
            "0.087146066 0.91726935\n",
            "0.08736393 0.91733\n",
            "0.0875818 0.9173904\n",
            "0.08779966 0.917533\n",
            "0.08801752 0.917572\n",
            "0.08823539 0.9176724\n",
            "0.088453256 0.91764945\n",
            "0.08867112 0.9176879\n",
            "0.08888899 0.91774654\n",
            "0.08910685 0.9177439\n",
            "0.08932471 0.91782236\n",
            "0.08954258 0.9179409\n",
            "0.089760445 0.9180387\n",
            "0.08997831 0.91797507\n",
            "0.09019618 0.918012\n",
            "0.09041404 0.91804886\n",
            "0.0906319 0.91806555\n",
            "0.09084977 0.91816187\n",
            "0.091067635 0.9181782\n",
            "0.0912855 0.91825396\n",
            "0.09150337 0.91830957\n",
            "0.09172123 0.9183254\n",
            "0.09193909 0.9183018\n",
            "0.09215696 0.9183176\n",
            "0.092374824 0.91835296\n",
            "0.09259269 0.9183881\n",
            "0.09281056 0.9183841\n",
            "0.09302842 0.9184774\n",
            "0.09324628 0.91851205\n",
            "0.09346415 0.9184884\n",
            "0.09368201 0.91848415\n",
            "0.093899876 0.9184799\n",
            "0.094117746 0.91857195\n",
            "0.09433561 0.9186828\n",
            "0.09455347 0.9187931\n",
            "0.09477134 0.91882646\n",
            "0.0949892 0.91887873\n",
            "0.095207065 0.9189498\n",
            "0.095424935 0.9189256\n",
            "0.0956428 0.9189583\n",
            "0.09586066 0.9190098\n",
            "0.09607853 0.9190234\n",
            "0.09629639 0.9191309\n",
            "0.096514255 0.9191817\n",
            "0.096732125 0.91911983\n",
            "0.09694999 0.9191517\n",
            "0.09716785 0.9191648\n",
            "0.09738572 0.9192894\n",
            "0.09760358 0.91939497\n",
            "0.097821444 0.919463\n",
            "0.098039314 0.9194568\n",
            "0.09825718 0.919469\n",
            "0.09847504 0.9195916\n",
            "0.09869291 0.91964024\n",
            "0.09891077 0.9197436\n",
            "0.099128634 0.91980994\n",
            "0.0993465 0.9199307\n",
            "0.099564366 0.91995996\n",
            "0.09978223 0.9199709\n",
            "0.1000001 0.92003626\n",
            "0.10021796 0.920047\n",
            "0.10043582 0.9200758\n",
            "0.10065369 0.9201044\n",
            "0.100871556 0.92018676\n",
            "0.10108942 0.9202151\n",
            "0.10130729 0.9202611\n",
            "0.10152515 0.9202712\n",
            "0.10174301 0.9203526\n",
            "0.10196088 0.9204335\n",
            "0.102178745 0.92054963\n",
            "0.10239661 0.9205768\n",
            "0.10261448 0.9206391\n",
            "0.10283234 0.9207541\n",
            "0.1030502 0.9208685\n",
            "0.10326807 0.9209474\n",
            "0.103485934 0.92102593\n",
            "0.1037038 0.92108667\n",
            "0.10392167 0.92119944\n",
            "0.10413953 0.9212596\n",
            "0.10435739 0.9213542\n",
            "0.10457526 0.9213964\n",
            "0.104793124 0.9214903\n",
            "0.10501099 0.9215666\n",
            "0.105228856 0.92165977\n",
            "0.10544672 0.92171824\n",
            "0.10566458 0.9217764\n",
            "0.10588245 0.92183435\n",
            "0.10610031 0.92178965\n",
            "0.106318176 0.9218814\n",
            "0.106536046 0.9220068\n",
            "0.10675391 0.92204684\n",
            "0.10697177 0.92210364\n",
            "0.10718964 0.9220926\n",
            "0.1074075 0.92213225\n",
            "0.107625365 0.9221717\n",
            "0.107843235 0.9222278\n",
            "0.1080611 0.92226696\n",
            "0.10827896 0.9223394\n",
            "0.10849683 0.92237806\n",
            "0.10871469 0.9224\n",
            "0.108932555 0.92250496\n",
            "0.109150425 0.92254317\n",
            "0.10936829 0.92259777\n",
            "0.10958615 0.9226852\n",
            "0.10980402 0.92272276\n",
            "0.11002188 0.9227767\n",
            "0.110239744 0.9228468\n",
            "0.110457614 0.92293304\n",
            "0.11067548 0.92298627\n",
            "0.11089334 0.92308825\n",
            "0.11111121 0.9231572\n",
            "0.11132907 0.9232585\n",
            "0.11154693 0.92332685\n",
            "0.1117648 0.9232652\n",
            "0.111982666 0.9232686\n",
            "0.11220053 0.92333657\n",
            "0.1124184 0.92342037\n",
            "0.11263626 0.9234556\n",
            "0.11285412 0.92352283\n",
            "0.11307199 0.9236378\n",
            "0.113289855 0.9237364\n",
            "0.11350772 0.9238346\n",
            "0.11372559 0.9239165\n",
            "0.11394345 0.9239981\n",
            "0.11416131 0.9240476\n",
            "0.11437918 0.92409694\n",
            "0.114597045 0.92419356\n",
            "0.11481491 0.92425823\n",
            "0.11503278 0.92435414\n",
            "0.11525064 0.92440253\n",
            "0.1154685 0.9244821\n",
            "0.11568637 0.92449874\n",
            "0.115904234 0.9245622\n",
            "0.1161221 0.92457867\n",
            "0.11633997 0.92468846\n",
            "0.11655783 0.9247979\n",
            "0.11677569 0.9248448\n",
            "0.11699356 0.9248141\n",
            "0.117211424 0.92486084\n",
            "0.117429286 0.92493826\n",
            "0.117647156 0.9249846\n",
            "0.11786502 0.92503077\n",
            "0.11808288 0.9251381\n",
            "0.11830075 0.9252451\n",
            "0.11851861 0.9252905\n",
            "0.118736476 0.9253663\n",
            "0.118954346 0.92542654\n",
            "0.11917221 0.92542577\n",
            "0.11939007 0.92547053\n",
            "0.11960794 0.92554545\n",
            "0.1198258 0.9255596\n",
            "0.120043665 0.92561895\n",
            "0.120261535 0.9257233\n",
            "0.1204794 0.9258123\n",
            "0.12069726 0.9258709\n",
            "0.12091513 0.9259592\n",
            "0.12113299 0.9260323\n",
            "0.121350855 0.92614996\n",
            "0.121568725 0.92620754\n",
            "0.12178659 0.92625\n",
            "0.12200445 0.9262626\n",
            "0.12222232 0.92634934\n",
            "0.12244018 0.92640615\n",
            "0.122658044 0.9265071\n",
            "0.122875914 0.92651916\n",
            "0.12309378 0.9265901\n",
            "0.12331164 0.9266461\n",
            "0.12352951 0.92665786\n",
            "0.12374737 0.9267282\n",
            "0.12396523 0.92673975\n",
            "0.1241831 0.9267805\n",
            "0.124400966 0.92687935\n",
            "0.12461883 0.9269488\n",
            "0.1248367 0.92698896\n",
            "0.12505455 0.927058\n",
            "0.12527242 0.9270689\n",
            "0.1254903 0.92707974\n",
            "0.12570815 0.92716265\n",
            "0.12592602 0.92724526\n",
            "0.12614389 0.92729884\n",
            "0.12636174 0.92733794\n",
            "0.12657961 0.9273196\n",
            "0.12679748 0.92738706\n",
            "0.12701534 0.9274686\n",
            "0.1272332 0.92754984\n",
            "0.12745108 0.9276593\n",
            "0.12766893 0.9276831\n",
            "0.1278868 0.9277069\n",
            "0.12810467 0.9277872\n",
            "0.12832253 0.9278531\n",
            "0.1285404 0.9278483\n",
            "0.12875827 0.927942\n",
            "0.12897612 0.9280214\n",
            "0.12919399 0.92801625\n",
            "0.12941186 0.9280392\n",
            "0.12962972 0.92810404\n",
            "0.12984759 0.9280988\n",
            "0.13006546 0.92820513\n",
            "0.13028331 0.9282693\n",
            "0.13050118 0.92830557\n",
            "0.13071905 0.9283139\n",
            "0.1309369 0.92835\n",
            "0.13115478 0.928372\n",
            "0.13137265 0.92843544\n",
            "0.1315905 0.9285124\n",
            "0.13180837 0.92857534\n",
            "0.13202624 0.9286656\n",
            "0.1322441 0.92875546\n",
            "0.13246197 0.92880404\n",
            "0.13267983 0.92878413\n",
            "0.13289769 0.9288462\n",
            "0.13311556 0.92890793\n",
            "0.13333343 0.92898315\n",
            "0.13355128 0.92901736\n",
            "0.13376915 0.9290786\n",
            "0.13398702 0.9291396\n",
            "0.13420488 0.92918694\n",
            "0.13442275 0.92920715\n",
            "0.13464062 0.9292811\n",
            "0.13485847 0.9292876\n",
            "0.13507634 0.92937464\n",
            "0.13529421 0.92942125\n",
            "0.13551207 0.92940074\n",
            "0.13572994 0.9294738\n",
            "0.13594781 0.92954665\n",
            "0.13616566 0.9295394\n",
            "0.13638353 0.92958534\n",
            "0.1366014 0.92964435\n",
            "0.13681926 0.929743\n",
            "0.13703713 0.9297619\n",
            "0.137255 0.92974114\n",
            "0.13747285 0.92973363\n",
            "0.13769072 0.92981833\n",
            "0.1379086 0.92985016\n",
            "0.13812645 0.92985564\n",
            "0.13834432 0.929848\n",
            "0.13856219 0.92990583\n",
            "0.13878004 0.9299896\n",
            "0.13899791 0.9300861\n",
            "0.13921578 0.9301172\n",
            "0.13943364 0.9301222\n",
            "0.1396515 0.9301791\n",
            "0.13986938 0.9302229\n",
            "0.14008723 0.93022776\n",
            "0.1403051 0.93028426\n",
            "0.14052297 0.9303405\n",
            "0.14074083 0.9303838\n",
            "0.1409587 0.93042696\n",
            "0.14117657 0.9304828\n",
            "0.14139442 0.9305513\n",
            "0.14161229 0.93059397\n",
            "0.14183016 0.9306493\n",
            "0.14204802 0.9306789\n",
            "0.14226589 0.93075943\n",
            "0.14248376 0.9307888\n",
            "0.14270161 0.9308308\n",
            "0.14291948 0.93086\n",
            "0.14313735 0.93092704\n",
            "0.1433552 0.9309307\n",
            "0.14357308 0.93094695\n",
            "0.14379095 0.93098843\n",
            "0.1440088 0.9310549\n",
            "0.14422667 0.93107086\n",
            "0.14444454 0.9311621\n",
            "0.1446624 0.9311529\n",
            "0.14488026 0.93125623\n",
            "0.14509813 0.93132186\n",
            "0.14531599 0.9313498\n",
            "0.14553386 0.9313154\n",
            "0.14575173 0.93134326\n",
            "0.14596958 0.9313711\n",
            "0.14618745 0.9314608\n",
            "0.14640532 0.93151313\n",
            "0.14662318 0.9315653\n",
            "0.14684105 0.9315926\n",
            "0.14705892 0.93163216\n",
            "0.14727677 0.93169624\n",
            "0.14749464 0.9317232\n",
            "0.14771251 0.9317747\n",
            "0.14793037 0.9318137\n",
            "0.14814824 0.9318282\n",
            "0.14836611 0.9318793\n",
            "0.14858396 0.931918\n",
            "0.14880183 0.93200535\n",
            "0.1490197 0.93203163\n",
            "0.14923756 0.9320821\n",
            "0.14945543 0.93216884\n",
            "0.1496733 0.93219477\n",
            "0.14989115 0.93218434\n",
            "0.15010902 0.9322464\n",
            "0.1503269 0.93230826\n",
            "0.15054475 0.932394\n",
            "0.15076262 0.93243146\n",
            "0.15098049 0.93244475\n",
            "0.15119834 0.932494\n",
            "0.15141621 0.93256706\n",
            "0.15163408 0.932616\n",
            "0.15185194 0.9327125\n",
            "0.1520698 0.93274915\n",
            "0.15228768 0.9327619\n",
            "0.15250553 0.9327865\n",
            "0.1527234 0.9328704\n",
            "0.15294127 0.9329303\n",
            "0.15315913 0.9330019\n",
            "0.153377 0.9330733\n",
            "0.15359487 0.93315625\n",
            "0.15381272 0.9331683\n",
            "0.15403059 0.9332039\n",
            "0.15424846 0.9332511\n",
            "0.15446632 0.9332629\n",
            "0.15468419 0.9333099\n",
            "0.15490206 0.933345\n",
            "0.15511991 0.93332165\n",
            "0.15533778 0.933345\n",
            "0.15555565 0.9333683\n",
            "0.1557735 0.9333915\n",
            "0.15599138 0.9334147\n",
            "0.15620925 0.9334262\n",
            "0.1564271 0.9334956\n",
            "0.15664497 0.93350697\n",
            "0.15686284 0.93354136\n",
            "0.1570807 0.93358725\n",
            "0.15729856 0.933633\n",
            "0.15751643 0.9336786\n",
            "0.15773429 0.93370116\n",
            "0.15795216 0.9337351\n",
            "0.15817003 0.9337689\n",
            "0.15838788 0.933837\n",
            "0.15860575 0.93381345\n",
            "0.15882362 0.933847\n",
            "0.15904148 0.9338805\n",
            "0.15925935 0.9339595\n",
            "0.15947722 0.93398136\n",
            "0.15969507 0.9340259\n",
            "0.15991294 0.9340136\n",
            "0.16013081 0.9340466\n",
            "0.16034867 0.9340796\n",
            "0.16056654 0.9341125\n",
            "0.16078441 0.93415654\n",
            "0.16100226 0.934223\n",
            "0.16122013 0.93425554\n",
            "0.161438 0.934243\n",
            "0.16165586 0.93428665\n",
            "0.16187373 0.934319\n",
            "0.1620916 0.93438476\n",
            "0.16230945 0.9344616\n",
            "0.16252732 0.9344824\n",
            "0.1627452 0.9345143\n",
            "0.16296305 0.9345683\n",
            "0.16318092 0.9346111\n",
            "0.16339879 0.9346649\n",
            "0.16361664 0.9346853\n",
            "0.16383451 0.9347388\n",
            "0.16405238 0.93480325\n",
            "0.16427024 0.93486756\n",
            "0.1644881 0.93494266\n",
            "0.16470598 0.9349736\n",
            "0.16492383 0.9350154\n",
            "0.1651417 0.9350022\n",
            "0.16535957 0.9350329\n",
            "0.16557743 0.9350526\n",
            "0.1657953 0.9350831\n",
            "0.16601317 0.9351245\n",
            "0.16623102 0.93517673\n",
            "0.16644889 0.93522877\n",
            "0.16666676 0.935248\n",
            "0.16688462 0.935289\n",
            "0.16710249 0.9353407\n",
            "0.16732036 0.93539226\n",
            "0.16753821 0.9354437\n",
            "0.16775608 0.9354734\n",
            "0.16797395 0.9354922\n",
            "0.1681918 0.93554336\n",
            "0.16840968 0.93558353\n",
            "0.16862755 0.9356559\n",
            "0.1688454 0.93568516\n",
            "0.16906327 0.9357143\n",
            "0.16928114 0.93573266\n",
            "0.169499 0.93576163\n",
            "0.16971686 0.93582267\n",
            "0.16993473 0.93589413\n",
            "0.17015259 0.93592286\n",
            "0.17037046 0.9359195\n",
            "0.17058833 0.93590564\n",
            "0.17080618 0.9359448\n",
            "0.17102405 0.9359627\n",
            "0.17124192 0.93596995\n",
            "0.17145978 0.93593484\n",
            "0.17167765 0.93593156\n",
            "0.17189552 0.93591774\n",
            "0.17211337 0.9359039\n",
            "0.17233124 0.9359217\n",
            "0.17254911 0.9359815\n",
            "0.17276697 0.9359467\n",
            "0.17298484 0.93595386\n",
            "0.17320271 0.9360134\n",
            "0.17342056 0.9360414\n",
            "0.17363843 0.93609023\n",
            "0.1738563 0.9360868\n",
            "0.17407416 0.9360312\n",
            "0.17429203 0.9360487\n",
            "0.1745099 0.9360349\n",
            "0.17472775 0.9360004\n",
            "0.17494562 0.93598676\n",
            "0.1751635 0.93595237\n",
            "0.17538135 0.9359905\n",
            "0.17559922 0.93597686\n",
            "0.17581709 0.9359839\n",
            "0.17603494 0.9359806\n",
            "0.17625281 0.9359568\n",
            "0.17647068 0.93591243\n",
            "0.17668854 0.9359093\n",
            "0.1769064 0.93591636\n",
            "0.17712428 0.93596435\n",
            "0.17734213 0.9359816\n",
            "0.17756 0.9359171\n",
            "0.17777787 0.9359547\n",
            "0.17799573 0.93598205\n",
            "0.1782136 0.93600935\n",
            "0.17843147 0.9360264\n",
            "0.17864932 0.9360333\n",
            "0.17886719 0.9360199\n",
            "0.17908506 0.93602675\n",
            "0.17930292 0.9360538\n",
            "0.17952079 0.93605053\n",
            "0.17973866 0.9360674\n",
            "0.17995651 0.9360238\n",
            "0.18017438 0.93608093\n",
            "0.18039225 0.93610775\n",
            "0.1806101 0.93608433\n",
            "0.18082798 0.9361412\n",
            "0.18104585 0.9361679\n",
            "0.1812637 0.93618447\n",
            "0.18148157 0.93620104\n",
            "0.18169944 0.93622756\n",
            "0.1819173 0.93627393\n",
            "0.18213516 0.9363202\n",
            "0.18235303 0.9363564\n",
            "0.18257089 0.93636274\n",
            "0.18278876 0.93636906\n",
            "0.18300663 0.93640506\n",
            "0.18322448 0.9364212\n",
            "0.18344235 0.9364769\n",
            "0.18366022 0.9364633\n",
            "0.18387808 0.9365089\n",
            "0.18409595 0.9365248\n",
            "0.18431382 0.9365407\n",
            "0.18453167 0.9365468\n",
            "0.18474954 0.93653315\n",
            "0.18496741 0.9365196\n",
            "0.18518527 0.93649626\n",
            "0.18540314 0.93649256\n",
            "0.18562101 0.9365377\n",
            "0.18583886 0.93650466\n",
            "0.18605673 0.93650097\n",
            "0.1862746 0.9364778\n",
            "0.18649246 0.93648386\n",
            "0.18671033 0.936519\n",
            "0.1869282 0.93651533\n",
            "0.18714605 0.93649226\n",
            "0.18736392 0.9364499\n",
            "0.18758179 0.9364946\n",
            "0.18779965 0.9364716\n",
            "0.18801752 0.9364776\n",
            "0.18823539 0.9364547\n",
            "0.18845324 0.9364896\n",
            "0.18867111 0.9365148\n",
            "0.18888898 0.93653035\n",
            "0.18910684 0.93655545\n",
            "0.1893247 0.9365709\n",
            "0.18954258 0.93660545\n",
            "0.18976043 0.9366686\n",
            "0.1899783 0.9366743\n",
            "0.19019617 0.9367277\n",
            "0.19041404 0.93674284\n",
            "0.1906319 0.9367485\n",
            "0.19084977 0.9367161\n",
            "0.19106764 0.9367407\n",
            "0.19128549 0.9367558\n",
            "0.19150336 0.93677086\n",
            "0.19172123 0.9368048\n",
            "0.19193909 0.93684804\n",
            "0.19215696 0.9368441\n",
            "0.19237483 0.93685895\n",
            "0.19259268 0.9368738\n",
            "0.19281055 0.93689805\n",
            "0.19302842 0.9369222\n",
            "0.19324628 0.93688065\n",
            "0.19346415 0.9368954\n",
            "0.19368201 0.93691945\n",
            "0.19389987 0.9369529\n",
            "0.19411774 0.93698615\n",
            "0.19433561 0.93702877\n",
            "0.19455346 0.93703395\n",
            "0.19477133 0.93706703\n",
            "0.1949892 0.93710005\n",
            "0.19520706 0.937133\n",
            "0.19542493 0.9371659\n",
            "0.1956428 0.9371709\n",
            "0.19586065 0.9372037\n",
            "0.19607852 0.93720865\n",
            "0.1962964 0.9372136\n",
            "0.19651425 0.93723696\n",
            "0.19673212 0.93726957\n",
            "0.19694999 0.9372928\n",
            "0.19716784 0.9372792\n",
            "0.19738571 0.9373208\n",
            "0.19760358 0.9373807\n",
            "0.19782144 0.9374221\n",
            "0.19803931 0.9374725\n",
            "0.19825718 0.9374497\n",
            "0.19847503 0.9374909\n",
            "0.1986929 0.93753195\n",
            "0.19891077 0.9375547\n",
            "0.19912863 0.9376047\n",
            "0.1993465 0.9376092\n",
            "0.19956437 0.9376136\n",
            "0.19978222 0.9376271\n",
            "0.20000009 0.9376677\n",
            "0.20021796 0.9377174\n",
            "0.20043582 0.93775785\n",
            "0.20065369 0.9377531\n",
            "0.20087156 0.93780243\n",
            "0.20108941 0.93780667\n",
            "0.20130728 0.93783784\n",
            "0.20152515 0.93785995\n",
            "0.201743 0.93786407\n",
            "0.20196088 0.9378592\n",
            "0.20217875 0.9378633\n",
            "0.2023966 0.9378943\n",
            "0.20261447 0.9379341\n",
            "0.20283234 0.937965\n",
            "0.2030502 0.93799573\n",
            "0.20326807 0.9380175\n",
            "0.20348594 0.9380303\n",
            "0.20370379 0.9380609\n",
            "0.20392166 0.93806475\n",
            "0.20413953 0.93806857\n",
            "0.20435739 0.93806356\n",
            "0.20457526 0.93810284\n",
            "0.20479313 0.93814206\n",
            "0.20501098 0.93818116\n",
            "0.20522885 0.9382467\n",
            "0.20544672 0.9382945\n",
            "0.20566458 0.93830687\n",
            "0.20588244 0.938328\n",
            "0.20610031 0.93834037\n",
            "0.20631817 0.93835264\n",
            "0.20653604 0.9383825\n",
            "0.20675391 0.9384035\n",
            "0.20697176 0.93842447\n",
            "0.20718963 0.93845415\n",
            "0.2074075 0.9384837\n",
            "0.20762536 0.9385045\n",
            "0.20784323 0.938534\n",
            "0.2080611 0.93858963\n",
            "0.20827895 0.93860155\n",
            "0.20849682 0.9386221\n",
            "0.2087147 0.9386601\n",
            "0.20893255 0.9386632\n",
            "0.20915042 0.93866634\n",
            "0.20936829 0.9387128\n",
            "0.20958614 0.9387158\n",
            "0.20980401 0.9387275\n",
            "0.21002188 0.93877375\n",
            "0.21023974 0.9388026\n",
            "0.21045761 0.93883145\n",
            "0.21067548 0.93884295\n",
            "0.21089333 0.9388459\n",
            "0.2111112 0.93881446\n",
            "0.21132907 0.9388689\n",
            "0.21154693 0.938906\n",
            "0.2117648 0.93894315\n",
            "0.21198267 0.93894595\n",
            "0.21220052 0.9389829\n",
            "0.21241839 0.9389515\n",
            "0.21263626 0.9389543\n",
            "0.21285412 0.9390082\n",
            "0.21307199 0.93898535\n",
            "0.21328986 0.9390051\n",
            "0.21350771 0.9389993\n",
            "0.21372558 0.9390275\n",
            "0.21394345 0.9390641\n",
            "0.2141613 0.9390667\n",
            "0.21437918 0.9390694\n",
            "0.21459705 0.93909734\n",
            "0.2148149 0.9391253\n",
            "0.21503277 0.9391363\n",
            "0.21525064 0.93916416\n",
            "0.2154685 0.93917507\n",
            "0.21568637 0.93918604\n",
            "0.21590424 0.9391633\n",
            "0.21612209 0.9392078\n",
            "0.21633996 0.9392354\n",
            "0.21655783 0.93927133\n",
            "0.21677569 0.9392738\n",
            "0.21699356 0.93927616\n",
            "0.21721143 0.93927854\n",
            "0.21742928 0.9392893\n",
            "0.21764715 0.93929166\n",
            "0.21786502 0.93933564\n",
            "0.21808288 0.93933797\n",
            "0.21830074 0.93937355\n",
            "0.21851861 0.93939245\n",
            "0.21873647 0.939403\n",
            "0.21895434 0.93943006\n",
            "0.21917221 0.9394323\n",
            "0.21939006 0.9394676\n",
            "0.21960793 0.93950284\n",
            "0.2198258 0.93953794\n",
            "0.22004366 0.9395318\n",
            "0.22026153 0.9395586\n",
            "0.2204794 0.93954426\n",
            "0.22069725 0.9395299\n",
            "0.22091512 0.9395238\n",
            "0.221133 0.93951774\n",
            "0.22135085 0.93954444\n",
            "0.22156872 0.9395383\n",
            "0.22178659 0.93956494\n",
            "0.22200444 0.93956697\n",
            "0.22222231 0.9395772\n",
            "0.22244018 0.9395711\n",
            "0.22265804 0.93957317\n",
            "0.22287591 0.93959963\n",
            "0.22309378 0.93964225\n",
            "0.22331163 0.939628\n",
            "0.2235295 0.93965435\n",
            "0.22374737 0.9396563\n",
            "0.22396523 0.93966633\n",
            "0.2241831 0.93969256\n",
            "0.22440097 0.9397106\n",
            "0.22461882 0.93974483\n",
            "0.22483669 0.93976283\n",
            "0.22505456 0.9397888\n",
            "0.22527242 0.9398148\n",
            "0.22549029 0.9398327\n",
            "0.22570816 0.9398425\n",
            "0.22592601 0.9398764\n",
            "0.22614388 0.9399102\n",
            "0.22636175 0.9399359\n",
            "0.2265796 0.93996155\n",
            "0.22679748 0.9399952\n",
            "0.22701535 0.9400368\n",
            "0.2272332 0.9400543\n",
            "0.22745107 0.94008774\n",
            "0.22766894 0.94010514\n",
            "0.2278868 0.94014645\n",
            "0.22810467 0.9401718\n",
            "0.22832254 0.940197\n",
            "0.22854039 0.94020635\n",
            "0.22875826 0.9402394\n",
            "0.22897613 0.9402725\n",
            "0.22919399 0.94028175\n",
            "0.22941186 0.9403068\n",
            "0.22962973 0.94030803\n",
            "0.22984758 0.9403172\n",
            "0.23006545 0.9403579\n",
            "0.23028332 0.94039065\n",
            "0.23050117 0.940447\n",
            "0.23071904 0.9404717\n",
            "0.23093691 0.9404885\n",
            "0.23115477 0.9405132\n",
            "0.23137264 0.9405378\n",
            "0.23159051 0.940531\n",
            "0.23180836 0.9405477\n",
            "0.23202623 0.9405488\n",
            "0.2322441 0.94054985\n",
            "0.23246196 0.9406055\n",
            "0.23267983 0.9406221\n",
            "0.2328977 0.9406542\n",
            "0.23311555 0.9406785\n",
            "0.23333342 0.94073385\n",
            "0.2335513 0.94072694\n",
            "0.23376915 0.94072\n",
            "0.23398702 0.9407597\n",
            "0.23420489 0.9407915\n",
            "0.23442274 0.9408155\n",
            "0.23464061 0.94085497\n",
            "0.23485848 0.9408789\n",
            "0.23507634 0.9408951\n",
            "0.23529421 0.9409266\n",
            "0.23551208 0.9409581\n",
            "0.23572993 0.94098186\n",
            "0.2359478 0.94099015\n",
            "0.23616567 0.9410369\n",
            "0.23638353 0.9410605\n",
            "0.2366014 0.9410917\n",
            "0.23681927 0.9410999\n",
            "0.23703712 0.9411157\n",
            "0.23725499 0.94113916\n",
            "0.23747286 0.94117016\n",
            "0.23769072 0.9411935\n",
            "0.23790859 0.9412168\n",
            "0.23812646 0.9412249\n",
            "0.23834431 0.9412481\n",
            "0.23856218 0.9412637\n",
            "0.23878005 0.94126403\n",
            "0.2389979 0.94131756\n",
            "0.23921578 0.9413406\n",
            "0.23943365 0.94131815\n",
            "0.2396515 0.94133365\n",
            "0.23986937 0.9413491\n",
            "0.24008724 0.9413569\n",
            "0.2403051 0.94137985\n",
            "0.24052297 0.94134235\n",
            "0.24074084 0.94134265\n",
            "0.24095869 0.94136554\n",
            "0.24117656 0.94137335\n",
            "0.24139443 0.9413811\n",
            "0.24161229 0.94142646\n",
            "0.24183016 0.94142663\n",
            "0.24204803 0.9414643\n",
            "0.24226588 0.9414645\n",
            "0.24248375 0.9415021\n",
            "0.24270162 0.94153214\n",
            "0.24291947 0.9415771\n",
            "0.24313734 0.94159204\n",
            "0.24335521 0.9415996\n",
            "0.24357307 0.9416145\n",
            "0.24379094 0.94162947\n",
            "0.24400881 0.9416518\n",
            "0.24422666 0.9416444\n",
            "0.24444453 0.9416815\n",
            "0.2446624 0.9416593\n",
            "0.24488026 0.94167405\n",
            "0.24509813 0.9417037\n",
            "0.245316 0.941711\n",
            "0.24553385 0.9417258\n",
            "0.24575172 0.9417331\n",
            "0.2459696 0.9417404\n",
            "0.24618745 0.9417477\n",
            "0.24640532 0.9417771\n",
            "0.24662319 0.94176966\n",
            "0.24684104 0.9417475\n",
            "0.24705891 0.94175476\n",
            "0.24727678 0.9417767\n",
            "0.24749464 0.9417693\n",
            "0.24771251 0.9418058\n",
            "0.24793038 0.941813\n",
            "0.24814823 0.94179827\n",
            "0.2483661 0.9417762\n",
            "0.24858397 0.9417688\n",
            "0.24880183 0.9417979\n",
            "0.2490197 0.94181234\n",
            "0.24923757 0.94184864\n",
            "0.24945542 0.94184846\n",
            "0.24967329 0.9418628\n",
            "0.24989116 0.9418699\n",
            "0.25010902 0.9418915\n",
            "0.25032687 0.9419058\n",
            "0.25054476 0.9419273\n",
            "0.2507626 0.9419488\n",
            "0.25098047 0.94197744\n",
            "0.25119835 0.9419772\n",
            "0.2514162 0.94200575\n",
            "0.25163406 0.9419911\n",
            "0.25185195 0.94201237\n",
            "0.2520698 0.94204086\n",
            "0.25228766 0.94206214\n",
            "0.25250554 0.9420977\n",
            "0.2527234 0.9421045\n",
            "0.25294125 0.9421041\n",
            "0.25315914 0.9421181\n",
            "0.253377 0.9421177\n",
            "0.25359485 0.94213164\n",
            "0.25381273 0.9421384\n",
            "0.2540306 0.94215226\n",
            "0.25424844 0.94215184\n",
            "0.25446633 0.9421585\n",
            "0.25468418 0.94217235\n",
            "0.25490203 0.94219327\n",
            "0.25511992 0.94219995\n",
            "0.25533777 0.9422208\n",
            "0.25555563 0.94226295\n",
            "0.2557735 0.9422837\n",
            "0.25599137 0.94229025\n",
            "0.25620922 0.9422897\n",
            "0.2564271 0.9423246\n",
            "0.25664496 0.94233817\n",
            "0.25686282 0.9423517\n",
            "0.2570807 0.94237226\n",
            "0.25729856 0.94240695\n",
            "0.2575164 0.9424204\n",
            "0.2577343 0.9424057\n",
            "0.25795215 0.94242615\n",
            "0.25817 0.9424536\n",
            "0.2583879 0.94246\n",
            "0.25860575 0.94245934\n",
            "0.2588236 0.94246566\n",
            "0.2590415 0.942486\n",
            "0.25925934 0.9424993\n",
            "0.2594772 0.9425056\n",
            "0.25969508 0.94253284\n",
            "0.25991294 0.94256\n",
            "0.2601308 0.9425872\n",
            "0.26034868 0.9426073\n",
            "0.26056653 0.94262743\n",
            "0.2607844 0.94265443\n",
            "0.26100227 0.9426466\n",
            "0.26122013 0.94265974\n",
            "0.26143798 0.9426797\n",
            "0.26165587 0.9426997\n",
            "0.26187372 0.9427196\n",
            "0.26209158 0.9427395\n",
            "0.26230946 0.9426971\n",
            "0.26252732 0.9426686\n",
            "0.26274517 0.94268847\n",
            "0.26296306 0.9427152\n",
            "0.2631809 0.94274884\n",
            "0.26339877 0.94272727\n",
            "0.26361665 0.9427333\n",
            "0.2638345 0.9427049\n",
            "0.26405236 0.94271094\n",
            "0.26427025 0.9427444\n",
            "0.2644881 0.94277775\n",
            "0.26470596 0.94276315\n",
            "0.26492384 0.9428033\n",
            "0.2651417 0.9428161\n",
            "0.26535955 0.942822\n",
            "0.26557744 0.94284153\n",
            "0.2657953 0.9428269\n",
            "0.26601315 0.94286007\n",
            "0.26623103 0.9428727\n",
            "0.2664489 0.94287854\n",
            "0.26666674 0.9428843\n",
            "0.26688462 0.9428834\n",
            "0.26710248 0.94288915\n",
            "0.26732033 0.9429153\n",
            "0.26753822 0.9429143\n",
            "0.26775607 0.94294715\n",
            "0.26797393 0.94298\n",
            "0.2681918 0.943006\n",
            "0.26840967 0.9429846\n",
            "0.26862752 0.9430038\n",
            "0.2688454 0.94299597\n",
            "0.26906326 0.9430016\n",
            "0.26928112 0.94302076\n",
            "0.269499 0.94303983\n",
            "0.26971686 0.9430589\n",
            "0.2699347 0.9430914\n",
            "0.2701526 0.9431037\n",
            "0.27037045 0.9431361\n",
            "0.2705883 0.94308126\n",
            "0.2708062 0.9431069\n",
            "0.27102405 0.94310576\n",
            "0.2712419 0.94313806\n",
            "0.2714598 0.94317025\n",
            "0.27167764 0.94319576\n",
            "0.2718955 0.9432213\n",
            "0.27211338 0.94325334\n",
            "0.27233124 0.94327205\n",
            "0.2725491 0.9432907\n",
            "0.27276698 0.9432828\n",
            "0.27298483 0.94330144\n",
            "0.2732027 0.9433134\n",
            "0.27342057 0.9432789\n",
            "0.27363843 0.94326437\n",
            "0.27385628 0.9432697\n",
            "0.27407417 0.94330156\n",
            "0.27429202 0.94330686\n",
            "0.27450988 0.94330555\n",
            "0.27472776 0.9433175\n",
            "0.27494562 0.943303\n",
            "0.27516347 0.94332147\n",
            "0.27538136 0.9433333\n",
            "0.2755992 0.9433452\n",
            "0.27581707 0.94333726\n",
            "0.27603495 0.94333595\n",
            "0.2762528 0.94334775\n",
            "0.27647066 0.94335955\n",
            "0.27668855 0.9433648\n",
            "0.2769064 0.94340277\n",
            "0.27712426 0.9434145\n",
            "0.27734214 0.9434262\n",
            "0.27756 0.9434248\n",
            "0.27777785 0.94344306\n",
            "0.27799574 0.9434417\n",
            "0.2782136 0.9434598\n",
            "0.27843145 0.9434715\n",
            "0.27864933 0.9435026\n",
            "0.2788672 0.9434947\n",
            "0.27908504 0.94349325\n",
            "0.27930292 0.9435308\n",
            "0.27952078 0.9435488\n",
            "0.27973863 0.9435603\n",
            "0.27995652 0.94359124\n",
            "0.28017437 0.9436156\n",
            "0.28039223 0.94363356\n",
            "0.2806101 0.94364494\n",
            "0.28082797 0.9436434\n",
            "0.28104582 0.9436677\n",
            "0.2812637 0.9436984\n",
            "0.28148156 0.94370973\n",
            "0.28169942 0.9437017\n",
            "0.2819173 0.94371945\n",
            "0.28213516 0.9437564\n",
            "0.282353 0.94378054\n",
            "0.2825709 0.9437981\n",
            "0.28278875 0.94380933\n",
            "0.2830066 0.9438141\n",
            "0.2832245 0.94381243\n",
            "0.28344235 0.94383\n",
            "0.2836602 0.94386035\n",
            "0.2838781 0.943897\n",
            "0.28409594 0.9439144\n",
            "0.2843138 0.94394463\n",
            "0.28453168 0.943962\n",
            "0.28474954 0.94396025\n",
            "0.2849674 0.94396484\n",
            "0.28518528 0.9439695\n",
            "0.28540313 0.94399947\n",
            "0.285621 0.94401044\n",
            "0.28583887 0.94402766\n",
            "0.28605673 0.9440639\n",
            "0.28627458 0.94408745\n",
            "0.28649247 0.9441046\n",
            "0.28671032 0.9441281\n",
            "0.28692818 0.9441515\n",
            "0.28714606 0.94415593\n",
            "0.28736392 0.94416666\n",
            "0.28758177 0.9441837\n",
            "0.28779966 0.9441944\n",
            "0.2880175 0.9442177\n",
            "0.28823537 0.94423467\n",
            "0.28845325 0.9442642\n",
            "0.2886711 0.9442622\n",
            "0.28888896 0.94428533\n",
            "0.28910685 0.9442897\n",
            "0.2893247 0.9443065\n",
            "0.28954256 0.94432956\n",
            "0.28976044 0.9443401\n",
            "0.2899783 0.9443694\n",
            "0.29019615 0.9443986\n",
            "0.29041404 0.94439656\n",
            "0.2906319 0.9443945\n",
            "0.29084975 0.94440496\n",
            "0.29106763 0.9444216\n",
            "0.29128549 0.94440705\n",
            "0.29150334 0.9444424\n",
            "0.29172122 0.94445276\n",
            "0.29193908 0.9444569\n",
            "0.29215693 0.94447964\n",
            "0.29237482 0.94448996\n",
            "0.29259267 0.94450647\n",
            "0.29281053 0.9445353\n",
            "0.2930284 0.94455177\n",
            "0.29324627 0.94457436\n",
            "0.29346412 0.94459695\n",
            "0.293682 0.9446318\n",
            "0.29389986 0.94464815\n",
            "0.29411772 0.9446891\n",
            "0.2943356 0.94470537\n",
            "0.29455346 0.9446908\n",
            "0.2947713 0.94469476\n",
            "0.2949892 0.9447294\n",
            "0.29520705 0.94473326\n",
            "0.2954249 0.94473714\n",
            "0.2956428 0.9447533\n",
            "0.29586065 0.944751\n",
            "0.2960785 0.94474876\n",
            "0.2962964 0.94476485\n",
            "0.29651424 0.94478095\n",
            "0.2967321 0.94476646\n",
            "0.29694998 0.9447764\n",
            "0.29716784 0.94476193\n",
            "0.2973857 0.9447901\n",
            "0.29760358 0.9448\n",
            "0.29782143 0.94479775\n",
            "0.2980393 0.9447833\n",
            "0.29825717 0.9447567\n",
            "0.29847503 0.94477266\n",
            "0.29869288 0.94478256\n",
            "0.29891077 0.94476205\n",
            "0.29912862 0.94475985\n",
            "0.29934648 0.94477576\n",
            "0.29956436 0.9448038\n",
            "0.29978222 0.9448015\n",
            "0.30000007 0.94482946\n",
            "0.30021796 0.9448453\n",
            "0.3004358 0.9448249\n",
            "0.30065367 0.9448226\n",
            "0.30087155 0.9448444\n",
            "0.3010894 0.9448542\n",
            "0.30130726 0.94487596\n",
            "0.30152515 0.94490373\n",
            "0.301743 0.94491345\n",
            "0.30196086 0.9448991\n",
            "0.30217874 0.94492674\n",
            "0.3023966 0.9449544\n",
            "0.30261445 0.94495803\n",
            "0.30283234 0.9449916\n",
            "0.3030502 0.94502515\n",
            "0.30326805 0.9450526\n",
            "0.30348593 0.94506216\n",
            "0.30370378 0.9450358\n",
            "0.30392164 0.9450394\n",
            "0.30413952 0.94506085\n",
            "0.30435738 0.9450286\n",
            "0.30457523 0.9449964\n",
            "0.30479312 0.94500595\n",
            "0.30501097 0.9450095\n",
            "0.30522883 0.9450309\n",
            "0.3054467 0.94501066\n",
            "0.30566457 0.9450024\n",
            "0.30588242 0.9450237\n",
            "0.3061003 0.94501543\n",
            "0.30631816 0.94502485\n",
            "0.30653602 0.9450462\n",
            "0.3067539 0.94504374\n",
            "0.30697176 0.9450532\n",
            "0.3071896 0.9450508\n",
            "0.3074075 0.9450661\n",
            "0.30762535 0.9450814\n",
            "0.3078432 0.9451084\n",
            "0.3080611 0.9451178\n",
            "0.30827895 0.9451095\n",
            "0.3084968 0.9451364\n",
            "0.3087147 0.9451516\n",
            "0.30893254 0.9451844\n",
            "0.3091504 0.9451878\n",
            "0.30936828 0.9451853\n",
            "0.30958614 0.94519454\n",
            "0.309804 0.9452096\n",
            "0.31002188 0.945213\n",
            "0.31023973 0.9452105\n",
            "0.3104576 0.9450912\n",
            "0.31067547 0.9449194\n",
            "0.31089333 0.9447129\n",
            "0.31111118 0.9446466\n",
            "0.31132907 0.9444289\n",
            "0.31154692 0.94427556\n",
            "0.31176478 0.94418645\n",
            "0.31198266 0.9440451\n",
            "0.31220052 0.94393307\n",
            "0.31241837 0.94381535\n",
            "0.31263626 0.943721\n",
            "0.3128541 0.9435978\n",
            "0.31307197 0.9434052\n",
            "0.31328985 0.9432766\n",
            "0.3135077 0.9431366\n",
            "0.31372556 0.9430083\n",
            "0.31394345 0.9428745\n",
            "0.3141613 0.94275814\n",
            "0.31437916 0.9425958\n",
            "0.31459704 0.9423991\n",
            "0.3148149 0.94206434\n",
            "0.31503275 0.9419258\n",
            "0.31525064 0.9417645\n",
            "0.3154685 0.94163793\n",
            "0.31568635 0.9415115\n",
            "0.31590423 0.9414082\n",
            "0.31612208 0.9413338\n",
            "0.31633994 0.9412423\n",
            "0.31655782 0.9411738\n",
            "0.31677568 0.9410882\n",
            "0.31699353 0.9409741\n",
            "0.31721142 0.9408888\n",
            "0.31742927 0.94078076\n",
            "0.31764713 0.94067854\n",
            "0.317865 0.9405879\n",
            "0.31808287 0.9405373\n",
            "0.31830072 0.94042975\n",
            "0.3185186 0.94039077\n",
            "0.31873646 0.9403233\n",
            "0.31895432 0.9402446\n",
            "0.3191722 0.9401546\n",
            "0.31939006 0.94009316\n",
            "0.3196079 0.9400261\n",
            "0.3198258 0.93998754\n",
            "0.32004365 0.93999434\n",
            "0.3202615 0.9399615\n",
            "0.3204794 0.93988335\n",
            "0.32069725 0.9398563\n",
            "0.3209151 0.9398349\n",
            "0.321133 0.9397853\n",
            "0.32135084 0.9397301\n",
            "0.3215687 0.93972015\n",
            "0.32178658 0.93967634\n",
            "0.32200444 0.93966645\n",
            "0.3222223 0.9396171\n",
            "0.32244018 0.93956226\n",
            "0.32265803 0.9395243\n",
            "0.3228759 0.93949205\n",
            "0.32309377 0.9394823\n",
            "0.32331163 0.9394444\n",
            "0.32352948 0.9394067\n",
            "0.32374737 0.93932974\n",
            "0.32396522 0.93928653\n",
            "0.32418308 0.93927133\n",
            "0.32440096 0.9392338\n",
            "0.32461882 0.93917394\n",
            "0.32483667 0.939103\n",
            "0.32505456 0.93907124\n",
            "0.3252724 0.9390562\n",
            "0.32549027 0.9389521\n",
            "0.32570815 0.93892044\n",
            "0.325926 0.9389\n",
            "0.32614386 0.93886846\n",
            "0.32636175 0.93879807\n",
            "0.3265796 0.93878335\n",
            "0.32679746 0.938763\n",
            "0.32701534 0.9387372\n",
            "0.3272332 0.93871146\n",
            "0.32745105 0.9386968\n",
            "0.32766894 0.9386822\n",
            "0.3278868 0.9386731\n",
            "0.32810465 0.93868613\n",
            "0.32832253 0.93869364\n",
            "0.32854038 0.93869007\n",
            "0.32875824 0.9386976\n",
            "0.32897612 0.93869954\n",
            "0.32919398 0.9386574\n",
            "0.32941183 0.93862635\n",
            "0.32962972 0.93861187\n",
            "0.32984757 0.9385809\n",
            "0.33006543 0.9385554\n",
            "0.3302833 0.9384915\n",
            "0.33050117 0.93847716\n",
            "0.33071902 0.9384025\n",
            "0.3309369 0.93833333\n",
            "0.33115476 0.9382753\n",
            "0.33137262 0.9382337\n",
            "0.3315905 0.9382086\n",
            "0.33180836 0.93811786\n",
            "0.3320262 0.938071\n",
            "0.3322441 0.9380297\n",
            "0.33246195 0.9380103\n",
            "0.3326798 0.93797445\n",
            "0.3328977 0.93794966\n",
            "0.33311555 0.9379194\n",
            "0.3333334 0.9379055\n",
            "0.3335513 0.9378862\n",
            "0.33376914 0.9378561\n",
            "0.333987 0.93784225\n",
            "0.33420488 0.9378013\n",
            "0.33442274 0.93778753\n",
            "0.3346406 0.9377738\n",
            "0.33485848 0.93774384\n",
            "0.33507633 0.93771386\n",
            "0.3352942 0.93767315\n",
            "0.33551207 0.9376325\n",
            "0.33572993 0.9376243\n",
            "0.33594778 0.9375729\n",
            "0.33616567 0.93755937\n",
            "0.33638352 0.93755126\n",
            "0.33660138 0.9375377\n",
            "0.33681926 0.9375296\n",
            "0.33703712 0.9375215\n",
            "0.33725497 0.93751884\n",
            "0.33747286 0.93749464\n",
            "0.3376907 0.9374866\n",
            "0.33790857 0.9374839\n",
            "0.33812645 0.9374437\n",
            "0.3383443 0.937441\n",
            "0.33856216 0.93744373\n",
            "0.33878005 0.9374304\n",
            "0.3389979 0.93741703\n",
            "0.33921576 0.937393\n",
            "0.33943364 0.9373583\n",
            "0.3396515 0.93735045\n",
            "0.33986935 0.9373532\n",
            "0.34008723 0.9373239\n",
            "0.3403051 0.93732136\n",
            "0.34052294 0.93731886\n",
            "0.34074083 0.9373003\n",
            "0.34095868 0.93728185\n",
            "0.34117654 0.93729526\n",
            "0.34139442 0.93729806\n",
            "0.34161228 0.9372849\n",
            "0.34183013 0.9372771\n",
            "0.34204802 0.9372746\n",
            "0.34226587 0.9372774\n",
            "0.34248373 0.93726957\n",
            "0.3427016 0.9372776\n",
            "0.34291947 0.9372804\n",
            "0.34313732 0.9372885\n",
            "0.3433552 0.93729126\n",
            "0.34357306 0.9372993\n",
            "0.34379092 0.93729156\n",
            "0.3440088 0.9372785\n",
            "0.34422666 0.93728125\n",
            "0.3444445 0.93727875\n",
            "0.3446624 0.937271\n",
            "0.34488025 0.93724746\n",
            "0.3450981 0.9372608\n",
            "0.345316 0.937232\n",
            "0.34553385 0.93720335\n",
            "0.3457517 0.9371904\n",
            "0.3459696 0.9371775\n",
            "0.34618744 0.9371593\n",
            "0.3464053 0.937136\n",
            "0.34662318 0.9371336\n",
            "0.34684104 0.93710506\n",
            "0.3470589 0.937087\n",
            "0.34727678 0.9370951\n",
            "0.34749463 0.93708754\n",
            "0.3477125 0.9370695\n",
            "0.34793037 0.93703586\n",
            "0.34814823 0.9370492\n",
            "0.34836608 0.93702084\n",
            "0.34858397 0.93703413\n",
            "0.34880182 0.9370318\n",
            "0.34901968 0.93698794\n",
            "0.34923756 0.9369545\n",
            "0.34945542 0.93695223\n",
            "0.34967327 0.9369707\n",
            "0.34989116 0.9369788\n",
            "0.350109 0.93698174\n",
            "0.35032687 0.93693805\n",
            "0.35054475 0.9369151\n",
            "0.3507626 0.9369077\n",
            "0.35098046 0.9369003\n",
            "0.35119835 0.9368671\n",
            "0.3514162 0.9368856\n",
            "0.35163406 0.9368885\n",
            "0.35185194 0.9368967\n",
            "0.3520698 0.9369048\n",
            "0.35228765 0.9368923\n",
            "0.35250553 0.93687975\n",
            "0.3527234 0.936893\n",
            "0.35294124 0.93689597\n",
            "0.35315913 0.936904\n",
            "0.35337698 0.93689156\n",
            "0.35359484 0.93688935\n",
            "0.35381272 0.9368615\n",
            "0.35403058 0.9368696\n",
            "0.35424843 0.9368572\n",
            "0.35446632 0.9368346\n",
            "0.35468417 0.93680173\n",
            "0.35490203 0.9368047\n",
            "0.3551199 0.93678725\n",
            "0.35533777 0.9367851\n",
            "0.35555562 0.936783\n",
            "0.3557735 0.9367605\n",
            "0.35599136 0.9367584\n",
            "0.35620922 0.9367461\n",
            "0.3564271 0.9367542\n",
            "0.35664496 0.9367318\n",
            "0.3568628 0.9367348\n",
            "0.3570807 0.93675303\n",
            "0.35729855 0.936756\n",
            "0.3575164 0.93673366\n",
            "0.3577343 0.9367417\n",
            "0.35795215 0.93675995\n",
            "0.35817 0.93675786\n",
            "0.3583879 0.9367254\n",
            "0.35860574 0.9367031\n",
            "0.3588236 0.9367061\n",
            "0.35904148 0.93670404\n",
            "0.35925934 0.9366818\n",
            "0.3594772 0.93668485\n",
            "0.35969508 0.9366677\n",
            "0.35991293 0.9366556\n",
            "0.3601308 0.9366385\n",
            "0.36034867 0.9366264\n",
            "0.36056653 0.93660426\n",
            "0.36078438 0.9366073\n",
            "0.36100227 0.93658024\n",
            "0.36122012 0.936528\n",
            "0.36143798 0.93653613\n",
            "0.36165586 0.93654424\n",
            "0.36187372 0.93655235\n",
            "0.36209157 0.93651533\n",
            "0.36230946 0.9364934\n",
            "0.3625273 0.9365015\n",
            "0.36274517 0.9364846\n",
            "0.36296305 0.9364877\n",
            "0.3631809 0.93649083\n",
            "0.36339876 0.9365039\n",
            "0.36361665 0.93647206\n",
            "0.3638345 0.93648016\n",
            "0.36405236 0.93647826\n",
            "0.36427024 0.9364764\n",
            "0.3644881 0.9364745\n",
            "0.36470595 0.93646765\n",
            "0.36492383 0.93645585\n",
            "0.3651417 0.93647385\n",
            "0.36535954 0.93646705\n",
            "0.36557743 0.93646514\n",
            "0.36579528 0.9364484\n",
            "0.36601314 0.9364515\n",
            "0.36623102 0.9364447\n",
            "0.36644888 0.9364379\n",
            "0.36666673 0.93643606\n",
            "0.36688462 0.93645895\n",
            "0.36710247 0.9364769\n",
            "0.36732033 0.93649477\n",
            "0.3675382 0.9364929\n",
            "0.36775607 0.9365009\n",
            "0.36797392 0.93646944\n",
            "0.3681918 0.9364577\n",
            "0.36840966 0.93646574\n",
            "0.36862752 0.93641955\n",
            "0.3688454 0.93641776\n",
            "0.36906326 0.936411\n",
            "0.3692811 0.9363846\n",
            "0.369499 0.93633866\n",
            "0.36971685 0.9362829\n",
            "0.3699347 0.9362664\n",
            "0.3701526 0.9362696\n",
            "0.37037045 0.93626297\n",
            "0.3705883 0.93622696\n",
            "0.3708062 0.9362351\n",
            "0.37102404 0.9362383\n",
            "0.3712419 0.93624634\n",
            "0.37145978 0.9362544\n",
            "0.37167764 0.9362527\n",
            "0.3718955 0.93628025\n",
            "0.37211338 0.93626875\n",
            "0.37233123 0.9362476\n",
            "0.3725491 0.9362556\n",
            "0.37276697 0.9362636\n",
            "0.37298483 0.93621814\n",
            "0.37320268 0.9362359\n",
            "0.37342057 0.9362488\n",
            "0.37363842 0.93625194\n",
            "0.37385628 0.93623084\n",
            "0.37407416 0.9362388\n",
            "0.37429202 0.9362129\n",
            "0.37450987 0.9362064\n",
            "0.37472776 0.93620956\n",
            "0.3749456 0.9362127\n",
            "0.37516347 0.9362014\n",
            "0.37538135 0.9362094\n",
            "0.3755992 0.9361932\n",
            "0.37581706 0.93618673\n",
            "0.37603495 0.9361948\n",
            "0.3762528 0.93620753\n",
            "0.37647066 0.9362155\n",
            "0.37668854 0.9362235\n",
            "0.3769064 0.9362411\n",
            "0.37712425 0.936249\n",
            "0.37734213 0.93627137\n",
            "0.37756 0.9362601\n",
            "0.37777784 0.9362584\n",
            "0.37799573 0.9362471\n",
            "0.37821358 0.93626463\n",
            "0.37843144 0.93627733\n",
            "0.37864932 0.93626606\n",
            "0.37886718 0.9362835\n",
            "0.37908503 0.9362914\n",
            "0.37930292 0.93628013\n",
            "0.37952077 0.9362976\n",
            "0.37973863 0.9362911\n",
            "0.3799565 0.9362846\n",
            "0.38017437 0.9362734\n",
            "0.38039222 0.93628126\n",
            "0.3806101 0.93627\n",
            "0.38082796 0.9362731\n",
            "0.38104582 0.93628097\n",
            "0.3812637 0.9362983\n",
            "0.38148156 0.93630135\n",
            "0.3816994 0.93630916\n",
            "0.3819173 0.9363027\n",
            "0.38213515 0.9363153\n",
            "0.382353 0.93631357\n",
            "0.3825709 0.93632615\n",
            "0.38278875 0.9363197\n",
            "0.3830066 0.9363038\n",
            "0.3832245 0.93629736\n",
            "0.38344234 0.9363099\n",
            "0.3836602 0.93630344\n",
            "0.38387808 0.93632066\n",
            "0.38409594 0.9363095\n",
            "0.3843138 0.93630785\n",
            "0.38453168 0.9362826\n",
            "0.38474953 0.9362903\n",
            "0.3849674 0.93627924\n",
            "0.38518527 0.936287\n",
            "0.38540313 0.93629\n",
            "0.38562098 0.93627423\n",
            "0.38583887 0.936282\n",
            "0.38605672 0.9362709\n",
            "0.38627458 0.93627864\n",
            "0.38649246 0.9362911\n",
            "0.38671032 0.93627536\n",
            "0.38692817 0.9362971\n",
            "0.38714606 0.93629545\n",
            "0.3873639 0.93631256\n",
            "0.38758177 0.9363062\n",
            "0.38779965 0.93629515\n",
            "0.3880175 0.9363122\n",
            "0.38823536 0.9363059\n",
            "0.38845325 0.9362995\n",
            "0.3886711 0.93631184\n",
            "0.38888896 0.9363242\n",
            "0.38910684 0.93633187\n",
            "0.3893247 0.9363395\n",
            "0.38954255 0.9363378\n",
            "0.38976043 0.9363501\n",
            "0.3899783 0.93635774\n",
            "0.39019614 0.936356\n",
            "0.39041403 0.93637294\n",
            "0.39063188 0.93637586\n",
            "0.39084974 0.93636954\n",
            "0.39106762 0.9363725\n",
            "0.39128548 0.93636614\n",
            "0.39150333 0.93635523\n",
            "0.39172122 0.9363628\n",
            "0.39193907 0.9363796\n",
            "0.39215693 0.9363872\n",
            "0.3923748 0.9363855\n",
            "0.39259267 0.9364069\n",
            "0.39281052 0.93640983\n",
            "0.3930284 0.9364081\n",
            "0.39324626 0.93638796\n",
            "0.39346412 0.9363955\n",
            "0.393682 0.93637997\n",
            "0.39389986 0.9363829\n",
            "0.3941177 0.93637663\n",
            "0.3943356 0.9363427\n",
            "0.39455345 0.93633646\n",
            "0.3947713 0.9363394\n",
            "0.3949892 0.93635154\n",
            "0.39520705 0.93635905\n",
            "0.3954249 0.93637115\n",
            "0.3956428 0.93633276\n",
            "0.39586064 0.936322\n",
            "0.3960785 0.9363341\n",
            "0.39629638 0.936337\n",
            "0.39651424 0.9363399\n",
            "0.3967321 0.9363337\n",
            "0.39694998 0.93634576\n",
            "0.39716783 0.9363167\n",
            "0.3973857 0.9363105\n",
            "0.39760357 0.93629515\n",
            "0.39782143 0.93630725\n",
            "0.39803928 0.9362783\n",
            "0.39825717 0.9362721\n",
            "0.39847502 0.9362705\n",
            "0.39869288 0.9362825\n",
            "0.39891076 0.9362764\n",
            "0.39912862 0.93629754\n",
            "0.39934647 0.93629587\n",
            "0.39956436 0.9362625\n",
            "0.3997822 0.93625635\n",
            "0.40000007 0.9362139\n",
            "0.40021795 0.93620783\n",
            "0.4004358 0.9362063\n",
            "0.40065366 0.93620926\n",
            "0.40087155 0.9362122\n",
            "0.4010894 0.93621516\n",
            "0.40130726 0.9361955\n",
            "0.40152514 0.9361985\n",
            "0.401743 0.93617433\n",
            "0.40196085 0.9361999\n",
            "0.40217873 0.9362119\n",
            "0.4023966 0.93622386\n",
            "0.40261444 0.9362358\n",
            "0.40283233 0.93624324\n",
            "0.40305018 0.9362507\n",
            "0.40326804 0.9362491\n",
            "0.40348592 0.936252\n",
            "0.40370378 0.9362639\n",
            "0.40392163 0.9362489\n",
            "0.40413952 0.9362428\n",
            "0.40435737 0.93623227\n",
            "0.40457523 0.93621725\n",
            "0.4047931 0.93622917\n",
            "0.40501097 0.93625\n",
            "0.40522882 0.93625736\n",
            "0.4054467 0.93626475\n",
            "0.40566456 0.9362498\n",
            "0.40588242 0.9362348\n",
            "0.4061003 0.93622875\n",
            "0.40631816 0.9362183\n",
            "0.406536 0.9361855\n",
            "0.4067539 0.9361661\n",
            "0.40697175 0.93617356\n",
            "0.4071896 0.93618536\n",
            "0.4074075 0.93619275\n",
            "0.40762535 0.93619126\n",
            "0.4078432 0.9361719\n",
            "0.4080611 0.93617487\n",
            "0.40827894 0.9361911\n",
            "0.4084968 0.9361851\n",
            "0.40871468 0.9361703\n",
            "0.40893254 0.9361599\n",
            "0.4091504 0.936154\n",
            "0.40936828 0.93613917\n",
            "0.40958613 0.93615985\n",
            "0.409804 0.9361539\n",
            "0.41002187 0.9361657\n",
            "0.41023973 0.9361642\n",
            "0.41045758 0.93617153\n",
            "0.41067547 0.9361479\n",
            "0.41089332 0.9361597\n",
            "0.41111118 0.9361714\n",
            "0.41132906 0.9361611\n",
            "0.41154692 0.93617284\n",
            "0.41176477 0.93617135\n",
            "0.41198266 0.93618304\n",
            "0.4122005 0.9361683\n",
            "0.41241837 0.9361932\n",
            "0.41263625 0.9362093\n",
            "0.4128541 0.93622977\n",
            "0.41307196 0.9362326\n",
            "0.41328984 0.9362443\n",
            "0.4135077 0.9362647\n",
            "0.41372555 0.93625\n",
            "0.41394344 0.9362353\n",
            "0.4141613 0.93623817\n",
            "0.41437915 0.93623227\n",
            "0.41459703 0.9362395\n",
            "0.4148149 0.9362642\n",
            "0.41503274 0.9362802\n",
            "0.41525063 0.93629175\n",
            "0.41546848 0.9362683\n",
            "0.41568634 0.93627554\n",
            "0.41590422 0.93629146\n",
            "0.41612208 0.9363074\n",
            "0.41633993 0.936284\n",
            "0.41655782 0.93628246\n",
            "0.41677567 0.93627656\n",
            "0.41699353 0.93628806\n",
            "0.4172114 0.9362735\n",
            "0.41742927 0.9362589\n",
            "0.41764712 0.93626606\n",
            "0.417865 0.93626887\n",
            "0.41808286 0.936276\n",
            "0.41830072 0.9362658\n",
            "0.4185186 0.9362686\n",
            "0.41873646 0.9362498\n",
            "0.4189543 0.93626124\n",
            "0.4191722 0.93624675\n",
            "0.41939005 0.93624526\n",
            "0.4196079 0.9362351\n",
            "0.4198258 0.9362336\n",
            "0.42004365 0.9362148\n",
            "0.4202615 0.9362176\n",
            "0.4204794 0.9362161\n",
            "0.42069724 0.9362362\n",
            "0.4209151 0.936239\n",
            "0.42113298 0.9362461\n",
            "0.42135084 0.9362317\n",
            "0.4215687 0.9362431\n",
            "0.42178658 0.936233\n",
            "0.42200443 0.9362315\n",
            "0.4222223 0.93623\n",
            "0.42244017 0.93621564\n",
            "0.42265803 0.9362313\n",
            "0.42287588 0.9362298\n",
            "0.42309377 0.9362326\n",
            "0.42331162 0.9362354\n",
            "0.42352948 0.93622106\n",
            "0.42374736 0.9362196\n",
            "0.42396522 0.936201\n",
            "0.42418307 0.93617815\n",
            "0.42440096 0.93617666\n",
            "0.4246188 0.93616664\n",
            "0.42483667 0.9361609\n",
            "0.42505455 0.9361595\n",
            "0.4252724 0.93615806\n",
            "0.42549026 0.93615234\n",
            "0.42570814 0.93615943\n",
            "0.425926 0.936158\n",
            "0.42614385 0.9361608\n",
            "0.42636174 0.9361594\n",
            "0.4265796 0.9361579\n",
            "0.42679745 0.9361692\n",
            "0.42701533 0.93615925\n",
            "0.4272332 0.93614936\n",
            "0.42745104 0.93614364\n",
            "0.42766893 0.9361422\n",
            "0.42788678 0.9361281\n",
            "0.42810464 0.9361309\n",
            "0.42832252 0.9361379\n",
            "0.42854038 0.9361408\n",
            "0.42875823 0.9361478\n",
            "0.42897612 0.93614215\n",
            "0.42919397 0.9361407\n",
            "0.42941183 0.9361393\n",
            "0.4296297 0.9361083\n",
            "0.42984757 0.9361153\n",
            "0.43006542 0.9361055\n",
            "0.4302833 0.9360999\n",
            "0.43050116 0.9361027\n",
            "0.43071902 0.9360971\n",
            "0.4309369 0.93607885\n",
            "0.43115476 0.93606484\n",
            "0.4313726 0.9360424\n",
            "0.4315905 0.93607044\n",
            "0.43180835 0.9360859\n",
            "0.4320262 0.93608034\n",
            "0.4322441 0.93608314\n",
            "0.43246195 0.93607754\n",
            "0.4326798 0.9361013\n",
            "0.4328977 0.9360957\n",
            "0.43311554 0.9360985\n",
            "0.4333334 0.93610555\n",
            "0.43355128 0.9361083\n",
            "0.43376914 0.936132\n",
            "0.433987 0.936139\n",
            "0.43420488 0.9361585\n",
            "0.43442273 0.9361612\n",
            "0.4346406 0.93617237\n",
            "0.43485847 0.9361793\n",
            "0.43507633 0.9361737\n",
            "0.43529418 0.9361681\n",
            "0.43551207 0.93618333\n",
            "0.43572992 0.93617356\n",
            "0.43594778 0.9361763\n",
            "0.43616566 0.9361749\n",
            "0.43638352 0.9361777\n",
            "0.43660137 0.93619287\n",
            "0.43681926 0.93617064\n",
            "0.4370371 0.9361609\n",
            "0.43725497 0.93616366\n",
            "0.43747285 0.93618715\n",
            "0.4376907 0.936194\n",
            "0.43790856 0.93619263\n",
            "0.43812644 0.9361995\n",
            "0.4383443 0.93620634\n",
            "0.43856215 0.9362049\n",
            "0.43878004 0.9362076\n",
            "0.4389979 0.93619794\n",
            "0.43921575 0.9362006\n",
            "0.43943363 0.9362075\n",
            "0.4396515 0.93622255\n",
            "0.43986934 0.93622935\n",
            "0.44008723 0.9362403\n",
            "0.44030508 0.9362512\n",
            "0.44052294 0.9362704\n",
            "0.44074082 0.93627304\n",
            "0.44095868 0.9362757\n",
            "0.44117653 0.93626606\n",
            "0.44139442 0.9362728\n",
            "0.44161227 0.93627137\n",
            "0.44183013 0.9362822\n",
            "0.442048 0.9362931\n",
            "0.44226587 0.9362875\n",
            "0.44248372 0.9362697\n",
            "0.4427016 0.9362723\n",
            "0.44291946 0.9362873\n",
            "0.44313732 0.93628585\n",
            "0.4433552 0.9362762\n",
            "0.44357306 0.9362625\n",
            "0.4437909 0.9362651\n",
            "0.4440088 0.9362555\n",
            "0.44422665 0.9362786\n",
            "0.4444445 0.9362608\n",
            "0.4446624 0.93624717\n",
            "0.44488025 0.9362498\n",
            "0.4450981 0.9362647\n",
            "0.445316 0.93625915\n",
            "0.44553384 0.9362577\n",
            "0.4457517 0.9362726\n",
            "0.44596958 0.93628746\n",
            "0.44618744 0.9362697\n",
            "0.4464053 0.93626827\n",
            "0.44662318 0.93627906\n",
            "0.44684103 0.9362776\n",
            "0.4470589 0.9362843\n",
            "0.44727677 0.93627477\n",
            "0.44749463 0.9362693\n",
            "0.44771248 0.93627596\n",
            "0.44793037 0.93628263\n",
            "0.44814822 0.936265\n",
            "0.44836608 0.93625546\n",
            "0.44858396 0.936254\n",
            "0.44880182 0.9362405\n",
            "0.4490197 0.9362229\n",
            "0.44923756 0.9362296\n",
            "0.4494554 0.9362201\n",
            "0.4496733 0.93620664\n",
            "0.44989115 0.9362052\n",
            "0.450109 0.936224\n",
            "0.4503269 0.93621856\n",
            "0.45054474 0.9362333\n",
            "0.4507626 0.9362198\n",
            "0.45098048 0.9362144\n",
            "0.45119834 0.93620497\n",
            "0.4514162 0.9362036\n",
            "0.45163408 0.9362062\n",
            "0.45185193 0.93620884\n",
            "0.4520698 0.9361914\n",
            "0.45228767 0.9362101\n",
            "0.45250553 0.9362207\n",
            "0.45272338 0.9362274\n",
            "0.45294127 0.936238\n",
            "0.45315912 0.93620855\n",
            "0.45337698 0.93621516\n",
            "0.45359486 0.9362258\n",
            "0.45381272 0.9362404\n",
            "0.45403057 0.936251\n",
            "0.45424846 0.9362536\n",
            "0.4544663 0.93626016\n",
            "0.45468417 0.9362708\n",
            "0.45490205 0.93627334\n",
            "0.4551199 0.9362799\n",
            "0.45533776 0.93626654\n",
            "0.45555565 0.9362771\n",
            "0.4557735 0.93628365\n",
            "0.45599136 0.9362862\n",
            "0.45620924 0.9362848\n",
            "0.4564271 0.9362834\n",
            "0.45664495 0.93628997\n",
            "0.45686284 0.9362925\n",
            "0.4570807 0.93631494\n",
            "0.45729855 0.9363016\n",
            "0.45751643 0.9363081\n",
            "0.4577343 0.93631065\n",
            "0.45795214 0.93631715\n",
            "0.45817003 0.93630785\n",
            "0.45838788 0.9362985\n",
            "0.45860574 0.93630105\n",
            "0.45882362 0.93629175\n",
            "0.45904148 0.9362903\n",
            "0.45925933 0.9362968\n",
            "0.45947722 0.93627566\n",
            "0.45969507 0.9362901\n",
            "0.45991293 0.93627685\n",
            "0.4601308 0.9362715\n",
            "0.46034867 0.936278\n",
            "0.46056652 0.93628055\n",
            "0.4607844 0.93628305\n",
            "0.46100226 0.93628955\n",
            "0.46122012 0.93629605\n",
            "0.461438 0.9362671\n",
            "0.46165586 0.9362657\n",
            "0.4618737 0.93628794\n",
            "0.4620916 0.9362944\n",
            "0.46230945 0.93630475\n",
            "0.4625273 0.93631905\n",
            "0.4627452 0.9363255\n",
            "0.46296304 0.9363319\n",
            "0.4631809 0.93635404\n",
            "0.46339878 0.9363604\n",
            "0.46361664 0.93637073\n",
            "0.4638345 0.9363654\n",
            "0.46405238 0.93637574\n",
            "0.46427023 0.93639773\n",
            "0.4644881 0.9363885\n",
            "0.46470597 0.936391\n",
            "0.46492383 0.93640906\n",
            "0.46514168 0.9364271\n",
            "0.46535957 0.9364452\n",
            "0.46557742 0.9364593\n",
            "0.46579528 0.93645394\n",
            "0.46601316 0.93646026\n",
            "0.46623102 0.9364666\n",
            "0.46644887 0.9364846\n",
            "0.46666676 0.936487\n",
            "0.4668846 0.9365011\n",
            "0.46710247 0.9364996\n",
            "0.46732035 0.93649817\n",
            "0.4675382 0.9365044\n",
            "0.46775606 0.9364952\n",
            "0.46797395 0.9365015\n",
            "0.4681918 0.9365\n",
            "0.46840966 0.93651015\n",
            "0.46862754 0.9365048\n",
            "0.4688454 0.9364956\n",
            "0.46906325 0.93650573\n",
            "0.46928114 0.93650424\n",
            "0.469499 0.9365144\n",
            "0.46971685 0.9365052\n",
            "0.46993473 0.93649215\n",
            "0.4701526 0.9364984\n",
            "0.47037044 0.9365008\n",
            "0.47058833 0.9364916\n",
            "0.47080618 0.93647087\n",
            "0.47102404 0.9364848\n",
            "0.47124192 0.93649495\n",
            "0.47145978 0.9364781\n",
            "0.47167763 0.936492\n",
            "0.47189552 0.9365059\n",
            "0.47211337 0.9365122\n",
            "0.47233123 0.9365145\n",
            "0.4725491 0.93653226\n",
            "0.47276697 0.93652695\n",
            "0.47298482 0.93650246\n",
            "0.4732027 0.93647796\n",
            "0.47342056 0.9364804\n",
            "0.47363842 0.9364751\n",
            "0.4738563 0.9364545\n",
            "0.47407416 0.93646455\n",
            "0.474292 0.9364555\n",
            "0.4745099 0.93644255\n",
            "0.47472775 0.9364373\n",
            "0.4749456 0.9364053\n",
            "0.4751635 0.9363963\n",
            "0.47538134 0.93638724\n",
            "0.4755992 0.9363629\n",
            "0.47581708 0.9363692\n",
            "0.47603494 0.93637925\n",
            "0.4762528 0.93638164\n",
            "0.47647068 0.9363688\n",
            "0.47668853 0.93636364\n",
            "0.4769064 0.93637747\n",
            "0.47712427 0.9363723\n",
            "0.47734213 0.9363861\n",
            "0.47755998 0.9363885\n",
            "0.47777787 0.9364099\n",
            "0.47799572 0.93638194\n",
            "0.47821358 0.9363843\n",
            "0.47843146 0.93638676\n",
            "0.47864932 0.93637395\n",
            "0.47886717 0.9363726\n",
            "0.47908506 0.936375\n",
            "0.4793029 0.93633956\n",
            "0.47952077 0.9363344\n",
            "0.47973865 0.9363406\n",
            "0.4799565 0.9363317\n",
            "0.48017436 0.9363303\n",
            "0.48039225 0.9363252\n",
            "0.4806101 0.9363238\n",
            "0.48082796 0.93632245\n",
            "0.48104584 0.93632865\n",
            "0.4812637 0.9363235\n",
            "0.48148155 0.93632215\n",
            "0.48169944 0.93632835\n",
            "0.4819173 0.936327\n",
            "0.48213515 0.9363181\n",
            "0.48235303 0.93632054\n",
            "0.4825709 0.9363229\n",
            "0.48278874 0.9363254\n",
            "0.48300663 0.936324\n",
            "0.48322448 0.9363302\n",
            "0.48344234 0.9363288\n",
            "0.48366022 0.93632746\n",
            "0.48387808 0.9363411\n",
            "0.48409593 0.93634355\n",
            "0.48431382 0.9363422\n",
            "0.48453167 0.9363595\n",
            "0.48474953 0.93634695\n",
            "0.4849674 0.9363381\n",
            "0.48518527 0.9363555\n",
            "0.48540312 0.93636906\n",
            "0.485621 0.93637145\n",
            "0.48583886 0.93637383\n",
            "0.48605672 0.9363687\n",
            "0.4862746 0.9363823\n",
            "0.48649246 0.9363884\n",
            "0.4867103 0.9363833\n",
            "0.4869282 0.93639314\n",
            "0.48714605 0.9363992\n",
            "0.4873639 0.93639785\n",
            "0.4875818 0.9363927\n",
            "0.48779964 0.9363988\n",
            "0.4880175 0.93639743\n",
            "0.48823538 0.9364035\n",
            "0.48845324 0.936417\n",
            "0.4886711 0.9364156\n",
            "0.48888898 0.9364217\n",
            "0.48910683 0.936424\n",
            "0.4893247 0.93641895\n",
            "0.48954257 0.93640274\n",
            "0.48976043 0.93641245\n",
            "0.48997828 0.9364259\n",
            "0.49019617 0.93643194\n",
            "0.49041402 0.93644166\n",
            "0.49063188 0.936444\n",
            "0.49084976 0.93642783\n",
            "0.49106762 0.93642646\n",
            "0.49128547 0.9364325\n",
            "0.49150336 0.93641263\n",
            "0.4917212 0.93641496\n",
            "0.49193907 0.9364247\n",
            "0.49215695 0.9364344\n",
            "0.4923748 0.93645513\n",
            "0.49259266 0.9364611\n",
            "0.49281055 0.9364634\n",
            "0.4930284 0.93647677\n",
            "0.49324626 0.9364606\n",
            "0.49346414 0.93646294\n",
            "0.493682 0.9364726\n",
            "0.49389985 0.9364822\n",
            "0.49411774 0.9364845\n",
            "0.4943356 0.93647945\n",
            "0.49455345 0.93649274\n",
            "0.49477133 0.936484\n",
            "0.4949892 0.936479\n",
            "0.49520704 0.9364776\n",
            "0.49542493 0.9364762\n",
            "0.49564278 0.9364785\n",
            "0.49586064 0.93645513\n",
            "0.49607852 0.9364428\n",
            "0.49629638 0.9364085\n",
            "0.49651423 0.93641084\n",
            "0.49673212 0.9363985\n",
            "0.49694997 0.9363862\n",
            "0.49716783 0.936363\n",
            "0.4973857 0.93634707\n",
            "0.49760357 0.9363603\n",
            "0.49782142 0.93636626\n",
            "0.4980393 0.93635404\n",
            "0.49825716 0.93636\n",
            "0.49847502 0.9363477\n",
            "0.4986929 0.93636465\n",
            "0.49891075 0.93637055\n",
            "0.4991286 0.9363729\n",
            "0.4993465 0.9363934\n",
            "0.49956435 0.936392\n",
            "0.4997822 0.9363834\n",
            "0.50000006 0.95\n",
            "0.5002179 0.93333334\n",
            "0.5004358 0.94166666\n",
            "0.5006537 0.925\n",
            "0.50087154 0.93666667\n",
            "0.5010894 0.93333334\n",
            "0.50130725 0.9285714\n",
            "0.5015251 0.9291667\n",
            "0.501743 0.9324074\n",
            "0.5019609 0.93333334\n",
            "0.5021787 0.93257576\n",
            "0.5023966 0.9326389\n",
            "0.50261444 0.9339744\n",
            "0.5028323 0.9357143\n",
            "0.5030502 0.93833333\n",
            "0.50326806 0.93958336\n",
            "0.5034859 0.9406863\n",
            "0.5037038 0.9412037\n",
            "0.5039216 0.94210523\n",
            "0.5041395 0.9425\n",
            "0.5043574 0.943254\n",
            "0.50457525 0.9431818\n",
            "0.5047931 0.94094205\n",
            "0.50501096 0.94166666\n",
            "0.5052288 0.94133335\n",
            "0.5054467 0.94134617\n",
            "0.5056646 0.9410494\n",
            "0.50588244 0.93958336\n",
            "0.5061003 0.93936783\n",
            "0.50631815 0.9375\n",
            "0.506536 0.9370968\n",
            "0.50675386 0.93619794\n",
            "0.5069718 0.93686867\n",
            "0.50718963 0.9365196\n",
            "0.5074075 0.93714285\n",
            "0.50762534 0.9375\n",
            "0.5078432 0.9376126\n",
            "0.50806105 0.9377193\n",
            "0.50827897 0.9380342\n",
            "0.5084968 0.93854165\n",
            "0.5087147 0.93882114\n",
            "0.50893253 0.9386905\n",
            "0.5091504 0.9387597\n",
            "0.50936824 0.9388258\n",
            "0.50958616 0.9387037\n",
            "0.509804 0.9384058\n",
            "0.51002187 0.9384752\n",
            "0.5102397 0.93854165\n",
            "0.5104576 0.9382653\n",
            "0.51067543 0.93833333\n",
            "0.51089334 0.9383987\n",
            "0.5111112 0.93830127\n",
            "0.51132905 0.93852204\n",
            "0.5115469 0.9387346\n",
            "0.51176476 0.93863636\n",
            "0.5119826 0.9386905\n",
            "0.51220053 0.93903506\n",
            "0.5124184 0.93893677\n",
            "0.51263624 0.9384181\n",
            "0.5128541 0.93833333\n",
            "0.51307195 0.93797815\n",
            "0.5132898 0.9379032\n",
            "0.5135077 0.9386243\n",
            "0.5137256 0.93815106\n",
            "0.51394343 0.9382051\n",
            "0.5141613 0.93800503\n",
            "0.51437914 0.93781096\n",
            "0.514597 0.93786764\n",
            "0.5148149 0.93768114\n",
            "0.51503277 0.9379762\n",
            "0.5152506 0.93779343\n",
            "0.5154685 0.9384259\n",
            "0.51568633 0.93835616\n",
            "0.5159042 0.9386261\n",
            "0.5161221 0.9388889\n",
            "0.51633996 0.93903506\n",
            "0.5165578 0.93939394\n",
            "0.51677567 0.9392094\n",
            "0.5169935 0.939346\n",
            "0.5172114 0.93916667\n",
            "0.5174293 0.93919754\n",
            "0.51764715 0.93932927\n",
            "0.517865 0.93875504\n",
            "0.51808286 0.93849206\n",
            "0.5183007 0.9386274\n",
            "0.51851857 0.9387597\n",
            "0.5187365 0.9390805\n",
            "0.51895434 0.93854165\n",
            "0.5191722 0.9384831\n",
            "0.51939005 0.9384259\n",
            "0.5196079 0.9381868\n",
            "0.51982576 0.9365942\n",
            "0.5200437 0.9367384\n",
            "0.5202615 0.9360816\n",
            "0.5204794 0.9355263\n",
            "0.52069724 0.93541664\n",
            "0.5209151 0.93513745\n",
            "0.52113295 0.9352041\n",
            "0.52135086 0.93493265\n",
            "0.5215687 0.93483335\n",
            "0.5217866 0.9340759\n",
            "0.5220044 0.93390524\n",
            "0.5222223 0.93365693\n",
            "0.52244014 0.93341345\n",
            "0.52265805 0.93333334\n",
            "0.5228759 0.9334906\n",
            "0.52309376 0.93294394\n",
            "0.5233116 0.93310183\n",
            "0.52352947 0.93318045\n",
            "0.5237473 0.9335606\n",
            "0.52396524 0.9336336\n",
            "0.5241831 0.93355656\n",
            "0.52440095 0.9336283\n",
            "0.5246188 0.93369883\n",
            "0.52483666 0.9334058\n",
            "0.5250545 0.93340516\n",
            "0.5252724 0.9330484\n",
            "0.5254903 0.93312144\n",
            "0.52570814 0.9330532\n",
            "0.525926 0.9330556\n",
            "0.52614385 0.932989\n",
            "0.5263617 0.9329235\n",
            "0.5265796 0.93319786\n",
            "0.5267975 0.93333334\n",
            "0.5270153 0.9331333\n",
            "0.5272332 0.9332672\n",
            "0.52745104 0.9330053\n",
            "0.5276689 0.9330729\n",
            "0.5278868 0.93262273\n",
            "0.52810466 0.9326923\n",
            "0.5283225 0.93288803\n",
            "0.5285404 0.9330177\n",
            "0.5287582 0.9330827\n",
            "0.5289761 0.932898\n",
            "0.529194 0.93314815\n",
            "0.52941185 0.9329044\n",
            "0.5296297 0.9329075\n",
            "0.52984756 0.93309176\n",
            "0.5300654 0.9328537\n",
            "0.5302833 0.93255955\n",
            "0.5305012 0.93244684\n",
            "0.53071904 0.93210095\n",
            "0.5309369 0.93210953\n",
            "0.53115475 0.9320602\n",
            "0.5313726 0.93206894\n",
            "0.53159046 0.93179226\n",
            "0.5318084 0.931746\n",
            "0.53202623 0.93164414\n",
            "0.5322441 0.93193513\n",
            "0.53246194 0.93205553\n",
            "0.5326798 0.9315121\n",
            "0.53289765 0.93174344\n",
            "0.53311557 0.9319172\n",
            "0.5333334 0.93170995\n",
            "0.5335513 0.9316129\n",
            "0.53376913 0.93173075\n",
            "0.533987 0.931741\n",
            "0.53420484 0.9318038\n",
            "0.53442276 0.9318134\n",
            "0.5346406 0.9318229\n",
            "0.53485847 0.93188405\n",
            "0.5350763 0.93209875\n",
            "0.5352942 0.9323108\n",
            "0.53551203 0.9324187\n",
            "0.53572994 0.93237376\n",
            "0.5359478 0.9319779\n",
            "0.53616565 0.9318363\n",
            "0.5363835 0.93184525\n",
            "0.53660136 0.9318047\n",
            "0.5368192 0.9318628\n",
            "0.53703713 0.9317739\n",
            "0.537255 0.93178296\n",
            "0.53747284 0.9318882\n",
            "0.5376907 0.9320402\n",
            "0.53790855 0.9321905\n",
            "0.5381264 0.93205494\n",
            "0.5383443 0.9322505\n",
            "0.5385622 0.932397\n",
            "0.53878003 0.93240225\n",
            "0.5389979 0.9322685\n",
            "0.53921574 0.9319061\n",
            "0.5394336 0.93200547\n",
            "0.5396515 0.931694\n",
            "0.53986937 0.9312953\n",
            "0.5400872 0.93121624\n",
            "0.5403051 0.9310484\n",
            "0.54052293 0.9307932\n",
            "0.5407408 0.9307624\n",
            "0.5409587 0.93068784\n",
            "0.54117656 0.9304386\n",
            "0.5413944 0.9303229\n",
            "0.54161227 0.9300347\n",
            "0.5418301 0.9294905\n",
            "0.542048 0.92959625\n",
            "0.5422659 0.92970085\n",
            "0.54248375 0.92980444\n",
            "0.5427016 0.92978\n",
            "0.54291946 0.9295034\n",
            "0.5431373 0.92952263\n",
            "0.54335517 0.9295833\n",
            "0.5435731 0.92956054\n",
            "0.54379094 0.92953795\n",
            "0.5440088 0.9295156\n",
            "0.54422665 0.9294526\n",
            "0.5444445 0.9294309\n",
            "0.54466236 0.9296116\n",
            "0.5448803 0.92971015\n",
            "0.5450981 0.9295272\n",
            "0.545316 0.9296252\n",
            "0.54553384 0.9297619\n",
            "0.5457517 0.9298973\n",
            "0.54596955 0.92967767\n",
            "0.54618746 0.9297731\n",
            "0.5464053 0.9297897\n",
            "0.5466232 0.93003875\n",
            "0.546841 0.93016976\n",
            "0.5470589 0.93006915\n",
            "0.54727674 0.930237\n",
            "0.54749465 0.9302511\n",
            "0.5477125 0.9303788\n",
            "0.54793036 0.93039215\n",
            "0.5481482 0.9304429\n",
            "0.54836607 0.93056804\n",
            "0.5485839 0.93050593\n",
            "0.54880184 0.9306667\n",
            "0.5490197 0.9306785\n",
            "0.54923755 0.9305433\n",
            "0.5494554 0.93070173\n",
            "0.54967326 0.9306769\n",
            "0.5498911 0.93061596\n",
            "0.550109 0.93059164\n",
            "0.5503269 0.93067527\n",
            "0.55054474 0.930794\n",
            "0.5507626 0.9309829\n",
            "0.55098045 0.9309929\n",
            "0.5511983 0.93103814\n",
            "0.5514162 0.93094236\n",
            "0.5516341 0.9307773\n",
            "0.5518519 0.9308926\n",
            "0.5520698 0.9309375\n",
            "0.55228764 0.93091285\n",
            "0.5525055 0.93075067\n",
            "0.5527234 0.93093276\n",
            "0.55294126 0.9308743\n",
            "0.5531591 0.93081635\n",
            "0.553377 0.93086046\n",
            "0.5535948 0.93093795\n",
            "0.5538127 0.93088037\n",
            "0.5540306 0.93082327\n",
            "0.55424845 0.9308\n",
            "0.5544663 0.9308433\n",
            "0.55468416 0.93088627\n",
            "0.554902 0.9306324\n",
            "0.5551199 0.93051183\n",
            "0.5553378 0.9305556\n",
            "0.55555564 0.93046874\n",
            "0.5557735 0.93057716\n",
            "0.55599135 0.93062013\n",
            "0.5562092 0.93056625\n",
            "0.55642706 0.93051285\n",
            "0.556645 0.93068326\n",
            "0.55686283 0.930757\n",
            "0.5570807 0.93067175\n",
            "0.55729854 0.93077654\n",
            "0.5575164 0.93066037\n",
            "0.55773425 0.93070173\n",
            "0.55795217 0.93064916\n",
            "0.55817 0.9306903\n",
            "0.5583879 0.9306691\n",
            "0.55860573 0.930679\n",
            "0.5588236 0.93071955\n",
            "0.55904144 0.9307598\n",
            "0.55925936 0.93092185\n",
            "0.5594772 0.9309002\n",
            "0.55969507 0.931\n",
            "0.5599129 0.93097824\n",
            "0.5601308 0.9308965\n",
            "0.56034863 0.93096524\n",
            "0.56056654 0.9308244\n",
            "0.5607844 0.9308929\n",
            "0.56100225 0.9308719\n",
            "0.5612201 0.93102837\n",
            "0.56143796 0.9310954\n",
            "0.5616558 0.9311913\n",
            "0.56187373 0.93116957\n",
            "0.5620916 0.9312063\n",
            "0.56230944 0.93118465\n",
            "0.5625273 0.93104744\n",
            "0.56274515 0.93099767\n",
            "0.562963 0.9310345\n",
            "0.5631809 0.9310424\n",
            "0.5633988 0.9309361\n",
            "0.56361663 0.9309727\n",
            "0.5638345 0.93092406\n",
            "0.56405234 0.9310452\n",
            "0.5642702 0.93108106\n",
            "0.5644881 0.9310887\n",
            "0.56470597 0.931236\n",
            "0.5649238 0.9313545\n",
            "0.5651417 0.9312222\n",
            "0.56535953 0.9314507\n",
            "0.5655774 0.9313466\n",
            "0.5657953 0.9314631\n",
            "0.56601316 0.93160635\n",
            "0.566231 0.93150276\n",
            "0.56644887 0.9316176\n",
            "0.5666667 0.9316775\n",
            "0.5668846 0.93170995\n",
            "0.5671025 0.9317152\n",
            "0.56732035 0.9316129\n",
            "0.5675382 0.93161845\n",
            "0.56775606 0.93165064\n",
            "0.5679739 0.9317093\n",
            "0.56819177 0.93179405\n",
            "0.5684097 0.93185186\n",
            "0.56862754 0.9316456\n",
            "0.5688454 0.93170345\n",
            "0.56906325 0.9318134\n",
            "0.5692811 0.9317921\n",
            "0.56949896 0.9315104\n",
            "0.5697169 0.93154204\n",
            "0.5699347 0.9316511\n",
            "0.5701526 0.93163055\n",
            "0.57037044 0.931713\n",
            "0.5705883 0.9316923\n",
            "0.57080615 0.9317229\n",
            "0.57102406 0.9316259\n",
            "0.5712419 0.93155485\n",
            "0.5714598 0.9314336\n",
            "0.5716776 0.93136364\n",
            "0.5718955 0.93119335\n",
            "0.57211334 0.9310743\n",
            "0.57233125 0.93108106\n",
            "0.5725491 0.930988\n",
            "0.57276696 0.93097013\n",
            "0.5729848 0.93097717\n",
            "0.57320267 0.9308605\n",
            "0.5734205 0.9307446\n",
            "0.57363844 0.9306047\n",
            "0.5738563 0.93031865\n",
            "0.57407415 0.93018085\n",
            "0.574292 0.9301901\n",
            "0.57450986 0.9302964\n",
            "0.5747277 0.9301841\n",
            "0.5749456 0.9302174\n",
            "0.5751635 0.93013006\n",
            "0.57538134 0.93009126\n",
            "0.5755992 0.9301485\n",
            "0.57581705 0.93018144\n",
            "0.5760349 0.93030953\n",
            "0.5762528 0.9302944\n",
            "0.5764707 0.93035036\n",
            "0.5766885 0.93050045\n",
            "0.5769064 0.9304143\n",
            "0.57712424 0.9302582\n",
            "0.5773421 0.92998594\n",
            "0.57756 0.93001866\n",
            "0.57777786 0.92998135\n",
            "0.5779957 0.9297586\n",
            "0.5782136 0.929375\n",
            "0.5784314 0.92927057\n",
            "0.5786493 0.92914367\n",
            "0.5788672 0.9289486\n",
            "0.57908505 0.92893773\n",
            "0.5793029 0.9290411\n",
            "0.57952076 0.92909837\n",
            "0.5797386 0.9291326\n",
            "0.5799565 0.9290987\n",
            "0.5801744 0.92920053\n",
            "0.58039224 0.9292342\n",
            "0.5806101 0.9290431\n",
            "0.58082795 0.92898744\n",
            "0.5810458 0.9289097\n",
            "0.58126366 0.928877\n",
            "0.5814816 0.92895555\n",
            "0.58169943 0.9289229\n",
            "0.5819173 0.92886823\n",
            "0.58213514 0.92881393\n",
            "0.582353 0.92886984\n",
            "0.58257085 0.9288158\n",
            "0.58278877 0.92880577\n",
            "0.5830066 0.9287958\n",
            "0.5832245 0.92891645\n",
            "0.58344233 0.92890626\n",
            "0.5836602 0.9289394\n",
            "0.58387804 0.92897236\n",
            "0.58409595 0.92900515\n",
            "0.5843138 0.9288875\n",
            "0.58453166 0.929006\n",
            "0.5847495 0.92901707\n",
            "0.5849674 0.92902815\n",
            "0.5851852 0.9289966\n",
            "0.58540314 0.9289652\n",
            "0.585621 0.9288494\n",
            "0.58583885 0.9288608\n",
            "0.5860567 0.9288931\n",
            "0.58627456 0.9286104\n",
            "0.5864924 0.9285595\n",
            "0.58671033 0.9285923\n",
            "0.5869282 0.9284792\n",
            "0.58714604 0.9284913\n",
            "0.5873639 0.9283997\n",
            "0.58758175 0.92830855\n",
            "0.5877996 0.9283828\n",
            "0.5880175 0.92847735\n",
            "0.5882354 0.92850983\n",
            "0.58845323 0.92848074\n",
            "0.5886711 0.9284722\n",
            "0.58888894 0.928586\n",
            "0.5891068 0.9285569\n",
            "0.5893247 0.9285888\n",
            "0.58954257 0.9286408\n",
            "0.5897604 0.9286723\n",
            "0.5899783 0.9287037\n",
            "0.59019613 0.92875504\n",
            "0.590414 0.928746\n",
            "0.5906319 0.928777\n",
            "0.59084976 0.92882776\n",
            "0.5910676 0.92879874\n",
            "0.59128547 0.9288294\n",
            "0.5915033 0.92885983\n",
            "0.5917212 0.9289495\n",
            "0.5919391 0.9290583\n",
            "0.59215695 0.9290291\n",
            "0.5923748 0.92905885\n",
            "0.59259266 0.9291471\n",
            "0.5928105 0.92917645\n",
            "0.59302837 0.92918617\n",
            "0.5932463 0.9291958\n",
            "0.59346414 0.92936045\n",
            "0.593682 0.9293697\n",
            "0.59389985 0.929321\n",
            "0.5941177 0.9293302\n",
            "0.59433556 0.92937785\n",
            "0.5945535 0.92944443\n",
            "0.5947713 0.92943424\n",
            "0.5949892 0.92953855\n",
            "0.59520704 0.9295282\n",
            "0.5954249 0.9294419\n",
            "0.59564275 0.92933714\n",
            "0.59586066 0.9292706\n",
            "0.5960785 0.9292609\n",
            "0.59629637 0.929383\n",
            "0.5965142 0.9294294\n",
            "0.5967321 0.9295131\n",
            "0.59694993 0.9296151\n",
            "0.59716785 0.92960477\n",
            "0.5973857 0.9295759\n",
            "0.59760356 0.9296214\n",
            "0.5978214 0.92964816\n",
            "0.59803927 0.9297672\n",
            "0.5982571 0.9298304\n",
            "0.59847504 0.9298197\n",
            "0.5986929 0.92986417\n",
            "0.59891075 0.9298535\n",
            "0.5991286 0.92989767\n",
            "0.59934646 0.92994165\n",
            "0.5995643 0.9299127\n",
            "0.5997822 0.92992014\n",
            "0.6000001 0.92987317\n",
            "0.60021794 0.92991686\n",
            "0.6004358 0.9298882\n",
            "0.60065365 0.9299136\n",
            "0.6008715 0.92990303\n",
            "0.6010894 0.92987454\n",
            "0.6013073 0.92982835\n",
            "0.6015251 0.92980015\n",
            "0.601743 0.9297899\n",
            "0.60196084 0.92972636\n",
            "0.6021787 0.9296454\n",
            "0.6023966 0.92952937\n",
            "0.60261446 0.92955506\n",
            "0.6028323 0.92954546\n",
            "0.6030502 0.92955345\n",
            "0.603268 0.9295263\n",
            "0.6034859 0.9295868\n",
            "0.6037038 0.9296471\n",
            "0.60392165 0.9297071\n",
            "0.6041395 0.92980164\n",
            "0.60435736 0.92980903\n",
            "0.6045752 0.92981637\n",
            "0.6047931 0.92980635\n",
            "0.605011 0.9298309\n",
            "0.60522884 0.9298898\n",
            "0.6054467 0.9298969\n",
            "0.60566455 0.92985255\n",
            "0.6058824 0.92994523\n",
            "0.60610026 0.92996925\n",
            "0.6063182 0.9299591\n",
            "0.60653603 0.93008506\n",
            "0.6067539 0.9300917\n",
            "0.60697174 0.93009824\n",
            "0.6071896 0.9301555\n",
            "0.60740745 0.9301282\n",
            "0.60762537 0.9301515\n",
            "0.6078432 0.93022513\n",
            "0.6080611 0.93026495\n",
            "0.60827893 0.93028784\n",
            "0.6084968 0.9303106\n",
            "0.60871464 0.93035\n",
            "0.60893255 0.93040586\n",
            "0.6091504 0.93052787\n",
            "0.60936826 0.9305832\n",
            "0.6095861 0.93070436\n",
            "0.609804 0.9308086\n",
            "0.6100218 0.9308795\n",
            "0.61023974 0.93081856\n",
            "0.6104576 0.9308563\n",
            "0.61067545 0.9308448\n",
            "0.6108933 0.9309477\n",
            "0.61111116 0.9309687\n",
            "0.611329 0.93100584\n",
            "0.61154693 0.9310916\n",
            "0.6117648 0.9310473\n",
            "0.61198264 0.93106794\n",
            "0.6122005 0.9310239\n",
            "0.61241835 0.9310606\n",
            "0.6126362 0.9310489\n",
            "0.6128541 0.9310212\n",
            "0.613072 0.93104166\n",
            "0.61328983 0.93106204\n",
            "0.6135077 0.9310504\n",
            "0.61372554 0.93103886\n",
            "0.6139434 0.9309955\n",
            "0.6141613 0.93109524\n",
            "0.61437917 0.9311312\n",
            "0.614597 0.9310879\n",
            "0.6148149 0.93118685\n",
            "0.61503273 0.9311752\n",
            "0.6152506 0.93119496\n",
            "0.6154685 0.9311205\n",
            "0.61568636 0.93114036\n",
            "0.6159042 0.9312383\n",
            "0.61612207 0.93130463\n",
            "0.6163399 0.93126166\n",
            "0.6165578 0.93125\n",
            "0.6167757 0.93125385\n",
            "0.61699355 0.9311958\n",
            "0.6172114 0.93116885\n",
            "0.61742926 0.9311574\n",
            "0.6176471 0.9310844\n",
            "0.61786497 0.9310117\n",
            "0.6180829 0.9310313\n",
            "0.61830074 0.9310202\n",
            "0.6185186 0.93099385\n",
            "0.61873645 0.93099815\n",
            "0.6189543 0.9309872\n",
            "0.61917216 0.9310371\n",
            "0.6193901 0.93108684\n",
            "0.6196079 0.93110603\n",
            "0.6198258 0.930974\n",
            "0.62004364 0.93105376\n",
            "0.6202615 0.9310428\n",
            "0.62047935 0.9311071\n",
            "0.62069726 0.93115616\n",
            "0.6209151 0.9311151\n",
            "0.62113297 0.93105924\n",
            "0.6213508 0.9310932\n",
            "0.6215687 0.93096304\n",
            "0.62178653 0.930997\n",
            "0.62200445 0.93107545\n",
            "0.6222223 0.93110913\n",
            "0.62244016 0.9310983\n",
            "0.622658 0.9310136\n",
            "0.62287587 0.9310324\n",
            "0.6230937 0.9310954\n",
            "0.62331164 0.93108463\n",
            "0.6235295 0.931162\n",
            "0.62374735 0.9311658\n",
            "0.6239652 0.93118423\n",
            "0.62418306 0.9311442\n",
            "0.6244009 0.9311626\n",
            "0.6246188 0.9312245\n",
            "0.6248367 0.9312718\n",
            "0.62505454 0.93133336\n",
            "0.6252724 0.9313947\n",
            "0.62549025 0.93144137\n",
            "0.6257081 0.9314302\n",
            "0.625926 0.9314767\n",
            "0.6261439 0.9315086\n",
            "0.6263617 0.9315548\n",
            "0.6265796 0.9315435\n",
            "0.62679744 0.9315323\n",
            "0.6270153 0.93159246\n",
            "0.6272332 0.9315812\n",
            "0.62745106 0.93155575\n",
            "0.6276689 0.93158716\n",
            "0.6278868 0.93153346\n",
            "0.6281046 0.9316214\n",
            "0.6283225 0.9316243\n",
            "0.6285404 0.9315285\n",
            "0.62875825 0.9315456\n",
            "0.6289761 0.93156266\n",
            "0.62919396 0.9315937\n",
            "0.6294118 0.9315126\n",
            "0.6296297 0.9314877\n",
            "0.6298476 0.93151873\n",
            "0.63006544 0.93153566\n",
            "0.6302833 0.9315804\n",
            "0.63050115 0.9316667\n",
            "0.630719 0.9316972\n",
            "0.63093686 0.9316584\n",
            "0.6311548 0.93171644\n",
            "0.63137263 0.9317605\n",
            "0.6315905 0.93179065\n",
            "0.63180834 0.9317519\n",
            "0.6320262 0.9317957\n",
            "0.63224405 0.9317982\n",
            "0.63246197 0.9318008\n",
            "0.6326798 0.9318306\n",
            "0.6328977 0.931874\n",
            "0.63311553 0.9319172\n",
            "0.6333334 0.9319331\n",
            "0.63355124 0.93200326\n",
            "0.63376915 0.932019\n",
            "0.633987 0.9319805\n",
            "0.63420486 0.93203676\n",
            "0.6344227 0.9320523\n",
            "0.6346406 0.93197364\n",
            "0.6348584 0.93201613\n",
            "0.63507634 0.9320048\n",
            "0.6352942 0.9319534\n",
            "0.63551205 0.93191546\n",
            "0.6357299 0.93194443\n",
            "0.63594776 0.93197334\n",
            "0.6361656 0.9318956\n",
            "0.63638353 0.93187135\n",
            "0.6366014 0.93184716\n",
            "0.63681924 0.9318628\n",
            "0.6370371 0.9317857\n",
            "0.63725495 0.9317221\n",
            "0.6374728 0.93168515\n",
            "0.6376907 0.9316614\n",
            "0.6379086 0.9317166\n",
            "0.63812643 0.93165356\n",
            "0.6383443 0.9316693\n",
            "0.63856214 0.9316981\n",
            "0.63878 0.93172675\n",
            "0.6389979 0.93175536\n",
            "0.63921577 0.9317578\n",
            "0.6394336 0.9316823\n",
            "0.6396515 0.93165886\n",
            "0.63986933 0.9315837\n",
            "0.6400872 0.9315217\n",
            "0.6403051 0.93153745\n",
            "0.64052296 0.9315274\n",
            "0.6407408 0.9315817\n",
            "0.64095867 0.93152004\n",
            "0.6411765 0.93151003\n",
            "0.6413944 0.93141025\n",
            "0.6416123 0.93141323\n",
            "0.64183015 0.93133944\n",
            "0.642048 0.93136805\n",
            "0.64226586 0.9313201\n",
            "0.6424837 0.9312977\n",
            "0.64270157 0.93126273\n",
            "0.6429195 0.93126583\n",
            "0.64313734 0.9312817\n",
            "0.6433552 0.93136066\n",
            "0.64357305 0.9313763\n",
            "0.6437909 0.93139184\n",
            "0.64400876 0.9314577\n",
            "0.6442267 0.9314731\n",
            "0.6444445 0.9313881\n",
            "0.6446624 0.931391\n",
            "0.64488024 0.9314314\n",
            "0.6450981 0.9314218\n",
            "0.64531595 0.9314496\n",
            "0.64553386 0.93148977\n",
            "0.6457517 0.93146765\n",
            "0.64596957 0.9314456\n",
            "0.6461874 0.9314608\n",
            "0.6464053 0.9314512\n",
            "0.64662313 0.93147874\n",
            "0.64684105 0.93150616\n",
            "0.6470589 0.9315582\n",
            "0.64727676 0.9315485\n",
            "0.6474946 0.931588\n",
            "0.64771247 0.9315292\n",
            "0.6479303 0.9315686\n",
            "0.64814824 0.9316202\n",
            "0.6483661 0.9316227\n",
            "0.64858395 0.9316374\n",
            "0.6488018 0.9316277\n",
            "0.64901966 0.93164235\n",
            "0.6492375 0.9316934\n",
            "0.6494554 0.9317443\n",
            "0.6496733 0.93177086\n",
            "0.64989114 0.93179727\n",
            "0.650109 0.93173915\n",
            "0.65032685 0.9317535\n",
            "0.6505447 0.931816\n",
            "0.6507626 0.9318422\n",
            "0.6509805 0.9318564\n",
            "0.6511983 0.9317986\n",
            "0.6514162 0.9317768\n",
            "0.65163404 0.931791\n",
            "0.6518519 0.9317693\n",
            "0.6520698 0.9317716\n",
            "0.65228766 0.93175\n",
            "0.6525055 0.9317641\n",
            "0.6527234 0.93181384\n",
            "0.6529412 0.9318279\n",
            "0.6531591 0.9318182\n",
            "0.653377 0.931844\n",
            "0.65359485 0.9318343\n",
            "0.6538127 0.9318364\n",
            "0.65403056 0.9318385\n",
            "0.6542484 0.93182886\n",
            "0.6544663 0.93181926\n",
            "0.6546842 0.93180966\n",
            "0.65490204 0.93183523\n",
            "0.6551199 0.931849\n",
            "0.65533775 0.93181604\n",
            "0.6555556 0.9318648\n",
            "0.65577346 0.9318785\n",
            "0.6559914 0.9318108\n",
            "0.65620923 0.93184775\n",
            "0.6564271 0.9318498\n",
            "0.65664494 0.93185186\n",
            "0.6568628 0.931877\n",
            "0.65708065 0.9319137\n",
            "0.65729856 0.9319617\n",
            "0.6575164 0.9320212\n",
            "0.6577343 0.9320115\n",
            "0.65795213 0.9320248\n",
            "0.65817 0.93202657\n",
            "0.65838784 0.93201697\n",
            "0.65860575 0.932053\n",
            "0.6588236 0.9321005\n",
            "0.65904146 0.93210214\n",
            "0.6592593 0.9320924\n",
            "0.6594772 0.9320714\n",
            "0.659695 0.9320731\n",
            "0.65991294 0.93214285\n",
            "0.6601308 0.93217844\n",
            "0.66034865 0.9322139\n",
            "0.6605665 0.9321477\n",
            "0.66078436 0.9321944\n",
            "0.6610022 0.93222976\n",
            "0.66122013 0.9322762\n",
            "0.661438 0.9323001\n",
            "0.66165584 0.93233514\n",
            "0.6618737 0.93234766\n",
            "0.66209155 0.9323154\n",
            "0.6623094 0.9322498\n",
            "0.6625273 0.93224007\n",
            "0.6627452 0.93224156\n",
            "0.66296303 0.93217623\n",
            "0.6631809 0.93215555\n",
            "0.66339874 0.93207943\n",
            "0.6636166 0.93211436\n",
            "0.6638345 0.9320828\n",
            "0.66405237 0.93209547\n",
            "0.6642702 0.9321302\n",
            "0.6644881 0.93209875\n",
            "0.66470593 0.93204534\n",
            "0.6649238 0.93208003\n",
            "0.6651417 0.93209267\n",
            "0.66535956 0.93207234\n",
            "0.6655774 0.93205214\n",
            "0.66579527 0.9320319\n",
            "0.6660131 0.9320227\n",
            "0.666231 0.9319699\n",
            "0.6664489 0.931939\n",
            "0.66666675 0.9319408\n",
            "0.6668846 0.93197525\n",
            "0.66710246 0.93199867\n",
            "0.6673203 0.9319463\n",
            "0.66753817 0.93195885\n",
            "0.6677561 0.9319715\n",
            "0.66797394 0.931984\n",
            "0.6681918 0.931975\n",
            "0.66840965 0.9319552\n",
            "0.6686275 0.93198925\n",
            "0.66884536 0.9320017\n",
            "0.66906327 0.93201417\n",
            "0.6692811 0.9320694\n",
            "0.669499 0.93206036\n",
            "0.66971684 0.93207264\n",
            "0.6699347 0.93210626\n",
            "0.67015254 0.9321185\n",
            "0.67037046 0.93212\n",
            "0.6705883 0.93211097\n",
            "0.67080617 0.932155\n",
            "0.671024 0.9321777\n",
            "0.6712419 0.93217915\n",
            "0.67145973 0.9321912\n",
            "0.67167765 0.93222433\n",
            "0.6718955 0.9322679\n",
            "0.67211336 0.93222713\n",
            "0.6723312 0.93227065\n",
            "0.67254907 0.9323035\n",
            "0.6727669 0.9323153\n",
            "0.67298484 0.93232703\n",
            "0.6732027 0.93234926\n",
            "0.67342055 0.9324028\n",
            "0.6736384 0.9323517\n",
            "0.67385626 0.9323947\n",
            "0.6740741 0.93240625\n",
            "0.674292 0.93242824\n",
            "0.6745099 0.9324605\n",
            "0.67472774 0.9324616\n",
            "0.6749456 0.9324523\n",
            "0.67516345 0.93247414\n",
            "0.6753813 0.9325062\n",
            "0.6755992 0.9325382\n",
            "0.6758171 0.9325805\n",
            "0.6760349 0.9325608\n",
            "0.6762528 0.93256176\n",
            "0.67647064 0.9326038\n",
            "0.6766885 0.9325636\n",
            "0.6769064 0.93256456\n",
            "0.67712426 0.93263716\n",
            "0.6773421 0.9326687\n",
            "0.67756 0.9326695\n",
            "0.6777778 0.9327111\n",
            "0.6779957 0.9327425\n",
            "0.6782136 0.9327635\n",
            "0.67843145 0.93268293\n",
            "0.6786493 0.9326939\n",
            "0.67886716 0.93267435\n",
            "0.679085 0.9327055\n",
            "0.6793029 0.9326861\n",
            "0.6795208 0.93271714\n",
            "0.67973864 0.9327785\n",
            "0.6799565 0.9327993\n",
            "0.68017435 0.93282\n",
            "0.6803922 0.93284076\n",
            "0.68061006 0.93283135\n",
            "0.680828 0.93284196\n",
            "0.68104583 0.9328626\n",
            "0.6812637 0.9328631\n",
            "0.68148154 0.93290365\n",
            "0.6816994 0.9329541\n",
            "0.68191725 0.9329944\n",
            "0.68213516 0.9329849\n",
            "0.682353 0.93300515\n",
            "0.6825709 0.9330254\n",
            "0.6827887 0.93307537\n",
            "0.6830066 0.9330856\n",
            "0.68322444 0.9330661\n",
            "0.68344235 0.9330664\n",
            "0.6836602 0.932968\n",
            "0.68387806 0.93290925\n",
            "0.6840959 0.9329196\n",
            "0.6843138 0.9329004\n",
            "0.6845316 0.9329304\n",
            "0.68474954 0.93295056\n",
            "0.6849674 0.9329608\n",
            "0.68518525 0.9329612\n",
            "0.6854031 0.93295187\n",
            "0.68562096 0.93295234\n",
            "0.6858388 0.932982\n",
            "0.68605673 0.9329922\n",
            "0.6862746 0.93303156\n",
            "0.68649244 0.93306106\n",
            "0.6867103 0.93305165\n",
            "0.68692815 0.9330908\n",
            "0.687146 0.93312013\n",
            "0.6873639 0.93310106\n",
            "0.6875818 0.9331013\n",
            "0.68779963 0.93311125\n",
            "0.6880175 0.93312114\n",
            "0.68823534 0.9331214\n",
            "0.6884532 0.9331216\n",
            "0.6886711 0.933093\n",
            "0.68888897 0.9331221\n",
            "0.6891068 0.9331607\n",
            "0.6893247 0.9331609\n",
            "0.68954253 0.93316114\n",
            "0.6897604 0.9332091\n",
            "0.6899783 0.93318063\n",
            "0.69019616 0.9331903\n",
            "0.690414 0.93319046\n",
            "0.69063187 0.9332002\n",
            "0.6908497 0.9332288\n",
            "0.6910676 0.9332289\n",
            "0.6912855 0.933229\n",
            "0.69150335 0.9332576\n",
            "0.6917212 0.9332671\n",
            "0.69193906 0.9332672\n",
            "0.6921569 0.9332673\n",
            "0.69237477 0.93325794\n",
            "0.6925927 0.93328625\n",
            "0.69281054 0.93330514\n",
            "0.6930284 0.93327695\n",
            "0.69324625 0.93325824\n",
            "0.6934641 0.9332865\n",
            "0.69368196 0.93330526\n",
            "0.69389987 0.9332772\n",
            "0.6941177 0.9332212\n",
            "0.6943356 0.93324935\n",
            "0.69455343 0.9332681\n",
            "0.6947713 0.93324953\n",
            "0.69498914 0.93327755\n",
            "0.69520706 0.9332033\n",
            "0.6954249 0.93318486\n",
            "0.69564277 0.9331572\n",
            "0.6958606 0.9331574\n",
            "0.6960785 0.9331761\n",
            "0.69629633 0.9330839\n",
            "0.69651425 0.93311185\n",
            "0.6967321 0.9331121\n",
            "0.69694996 0.93302023\n",
            "0.6971678 0.9330482\n",
            "0.69738567 0.9330669\n",
            "0.6976035 0.93309474\n",
            "0.69782144 0.933095\n",
            "0.6980393 0.9330952\n",
            "0.69825715 0.93312293\n",
            "0.698475 0.9331049\n",
            "0.69869286 0.9331052\n",
            "0.6989107 0.93308717\n",
            "0.6991286 0.9330237\n",
            "0.6993465 0.93299675\n",
            "0.69956434 0.93300617\n",
            "0.6997822 0.9330065\n",
            "0.70000005 0.93298876\n",
            "0.7002179 0.93293476\n",
            "0.7004358 0.93294424\n",
            "0.7006537 0.93298084\n",
            "0.7008715 0.932909\n",
            "0.7010894 0.9329094\n",
            "0.70130724 0.9329009\n",
            "0.7015251 0.9328654\n",
            "0.701743 0.932758\n",
            "0.70196086 0.9327766\n",
            "0.7021787 0.93277717\n",
            "0.7023966 0.93280464\n",
            "0.7026144 0.932841\n",
            "0.7028323 0.9328594\n",
            "0.7030502 0.9328421\n",
            "0.70326805 0.9328248\n",
            "0.7034859 0.93286985\n",
            "0.70370376 0.93283474\n",
            "0.7039216 0.9327997\n",
            "0.7041395 0.93278253\n",
            "0.7043574 0.9328008\n",
            "0.70457524 0.93276596\n",
            "0.7047931 0.9326957\n",
            "0.70501095 0.9326699\n",
            "0.7052288 0.9326794\n",
            "0.70544666 0.9326536\n",
            "0.7056646 0.93267196\n",
            "0.70588243 0.9326374\n",
            "0.7061003 0.93264693\n",
            "0.70631814 0.9326213\n",
            "0.706536 0.9325342\n",
            "0.70675385 0.93255264\n",
            "0.70697176 0.9325184\n",
            "0.7071896 0.93248427\n",
            "0.7074075 0.93249387\n",
            "0.7076253 0.93245983\n",
            "0.7078432 0.93244326\n",
            "0.70806104 0.93242675\n",
            "0.70827895 0.9324539\n",
            "0.7084968 0.9324896\n",
            "0.70871466 0.93248177\n",
            "0.7089325 0.9325087\n",
            "0.7091504 0.9324922\n",
            "0.7093682 0.9325104\n",
            "0.70958614 0.93247664\n",
            "0.709804 0.9323824\n",
            "0.71002185 0.93234026\n",
            "0.7102397 0.9321342\n",
            "0.71045756 0.9320665\n",
            "0.7106754 0.9319301\n",
            "0.71089333 0.9318541\n",
            "0.7111112 0.93132305\n",
            "0.71132904 0.9311277\n",
            "0.7115469 0.9310271\n",
            "0.71176475 0.93081534\n",
            "0.7119826 0.93066394\n",
            "0.7122005 0.9304017\n",
            "0.7124184 0.9301998\n",
            "0.71263623 0.9300153\n",
            "0.7128541 0.9299591\n",
            "0.71307194 0.9296391\n",
            "0.7132898 0.92961735\n",
            "0.7135077 0.9295447\n",
            "0.71372557 0.9293449\n",
            "0.7139434 0.92925566\n",
            "0.7141613 0.9291836\n",
            "0.71437913 0.92911166\n",
            "0.714597 0.9290061\n",
            "0.7148149 0.9289091\n",
            "0.71503276 0.9288546\n",
            "0.7152506 0.9288591\n",
            "0.71546847 0.9287963\n",
            "0.7156863 0.9287\n",
            "0.7159042 0.9284442\n",
            "0.7161221 0.9282813\n",
            "0.71633995 0.92806005\n",
            "0.7165578 0.92792296\n",
            "0.71677566 0.9278196\n",
            "0.7169935 0.9277583\n",
            "0.71721137 0.9274215\n",
            "0.7174293 0.92716885\n",
            "0.71764714 0.92680836\n",
            "0.717865 0.9266234\n",
            "0.71808285 0.92623085\n",
            "0.7183007 0.92582256\n",
            "0.71851856 0.9254482\n",
            "0.71873647 0.9251244\n",
            "0.7189543 0.92493373\n",
            "0.7191722 0.9247269\n",
            "0.71939003 0.9244378\n",
            "0.7196079 0.924108\n",
            "0.71982574 0.92363864\n",
            "0.72004366 0.9232526\n",
            "0.7202615 0.92296606\n",
            "0.72047937 0.92272127\n",
            "0.7206972 0.9225838\n",
            "0.7209151 0.9223317\n",
            "0.72113293 0.9221293\n",
            "0.72135085 0.92191905\n",
            "0.7215687 0.92165196\n",
            "0.72178656 0.9213036\n",
            "0.7220044 0.9210049\n",
            "0.72222227 0.92080474\n",
            "0.7224401 0.92054796\n",
            "0.72265804 0.9203568\n",
            "0.7228759 0.9202067\n",
            "0.72309375 0.9199268\n",
            "0.7233116 0.9197206\n",
            "0.72352946 0.9195959\n",
            "0.7237473 0.9194066\n",
            "0.7239652 0.9191853\n",
            "0.7241831 0.91895634\n",
            "0.72440094 0.9187035\n",
            "0.7246188 0.91848356\n",
            "0.72483665 0.9181672\n",
            "0.7250545 0.91788363\n",
            "0.7252724 0.91753626\n",
            "0.7254903 0.9171332\n",
            "0.7257081 0.91681933\n",
            "0.725926 0.91657835\n",
            "0.72614384 0.9162897\n",
            "0.7263617 0.9160096\n",
            "0.7265796 0.91569805\n",
            "0.72679746 0.9153551\n",
            "0.7270153 0.9150847\n",
            "0.7272332 0.9147749\n",
            "0.727451 0.9144976\n",
            "0.7276689 0.9141412\n",
            "0.7278868 0.91372174\n",
            "0.72810465 0.91350985\n",
            "0.7283225 0.913211\n",
            "0.72854036 0.9128889\n",
            "0.7287582 0.912607\n",
            "0.7289761 0.9122069\n",
            "0.729194 0.9117363\n",
            "0.72941184 0.9114168\n",
            "0.7296297 0.91108215\n",
            "0.72984755 0.91072446\n",
            "0.7300654 0.91042256\n",
            "0.73028326 0.9101922\n",
            "0.7305012 0.9099937\n",
            "0.73071903 0.90972483\n",
            "0.7309369 0.90944076\n",
            "0.73115474 0.90922004\n",
            "0.7313726 0.9089919\n",
            "0.73159045 0.9087093\n",
            "0.73180836 0.90842724\n",
            "0.7320262 0.9080988\n",
            "0.7322441 0.9078335\n",
            "0.7324619 0.90759206\n",
            "0.7326798 0.9073823\n",
            "0.73289764 0.9071262\n",
            "0.73311555 0.9069639\n",
            "0.7333334 0.9067631\n",
            "0.73355126 0.9066014\n",
            "0.7337691 0.9064401\n",
            "0.733987 0.9063488\n",
            "0.7342048 0.9061881\n",
            "0.73442274 0.90606624\n",
            "0.7346406 0.9059524\n",
            "0.73485845 0.905777\n",
            "0.7350763 0.90563273\n",
            "0.73529416 0.9055273\n",
            "0.735512 0.9053913\n",
            "0.73572993 0.90525544\n",
            "0.7359478 0.90505844\n",
            "0.73616564 0.90497696\n",
            "0.7363835 0.9048036\n",
            "0.73660135 0.90461516\n",
            "0.7368192 0.9044424\n",
            "0.7370371 0.9043312\n",
            "0.737255 0.9042049\n",
            "0.73747283 0.9041552\n",
            "0.7376907 0.90403694\n",
            "0.73790854 0.90394175\n",
            "0.7381264 0.9038391\n",
            "0.7383443 0.90372145\n",
            "0.73856217 0.9035812\n",
            "0.73878 0.90352476\n",
            "0.7389979 0.90336215\n",
            "0.73921573 0.90325296\n",
            "0.7394336 0.90314394\n",
            "0.7396515 0.90301996\n",
            "0.73986936 0.90285844\n",
            "0.7400872 0.9027652\n",
            "0.74030507 0.9025966\n",
            "0.7405229 0.90245855\n",
            "0.7407408 0.9022905\n",
            "0.7409587 0.90216804\n",
            "0.74117655 0.9019856\n",
            "0.7413944 0.90181094\n",
            "0.74161226 0.9015991\n",
            "0.7418301 0.90141016\n",
            "0.74204797 0.9012815\n",
            "0.7422659 0.901183\n",
            "0.74248374 0.9010922\n",
            "0.7427016 0.9009342\n",
            "0.74291945 0.9008064\n",
            "0.7431373 0.9006789\n",
            "0.74335515 0.9004845\n",
            "0.74357307 0.90035003\n",
            "0.7437909 0.9002753\n",
            "0.7440088 0.90008175\n",
            "0.74422663 0.89995545\n",
            "0.7444445 0.89976996\n",
            "0.74466234 0.89960706\n",
            "0.74488026 0.8993704\n",
            "0.7450981 0.8993117\n",
            "0.74531597 0.89894265\n",
            "0.7455338 0.89864063\n",
            "0.7457517 0.8984721\n",
            "0.74596953 0.8983333\n",
            "0.74618745 0.8981211\n",
            "0.7464053 0.89784306\n",
            "0.74662316 0.89764637\n",
            "0.746841 0.8973545\n",
            "0.74705887 0.8971219\n",
            "0.7472767 0.896831\n",
            "0.74749464 0.89653325\n",
            "0.7477125 0.8963093\n",
            "0.74793035 0.89603454\n",
            "0.7481482 0.8957529\n",
            "0.74836606 0.8954864\n",
            "0.7485839 0.8952204\n",
            "0.7488018 0.8949329\n",
            "0.7490197 0.89466053\n",
            "0.74923754 0.894294\n",
            "0.7494554 0.89400816\n",
            "0.74967325 0.8937228\n",
            "0.7498911 0.8934669\n",
            "0.750109 0.8931897\n",
            "0.7503269 0.893\n",
            "0.7505447 0.89270926\n",
            "0.7507626 0.89248407\n",
            "0.75098044 0.8923099\n",
            "0.7511983 0.8921216\n",
            "0.7514162 0.89188313\n",
            "0.75163406 0.8914937\n",
            "0.7518519 0.8913426\n",
            "0.7520698 0.8911557\n",
            "0.7522876 0.89095485\n",
            "0.7525055 0.8907184\n",
            "0.7527234 0.8904608\n",
            "0.75294125 0.8902826\n",
            "0.7531591 0.8901261\n",
            "0.75337696 0.88995564\n",
            "0.7535948 0.88979256\n",
            "0.7538127 0.88963693\n",
            "0.7540306 0.88940305\n",
            "0.75424844 0.88917667\n",
            "0.7544663 0.8890006\n",
            "0.75468415 0.888782\n",
            "0.754902 0.8885212\n",
            "0.75511986 0.8882395\n",
            "0.7553378 0.88801503\n",
            "0.7555556 0.88767743\n",
            "0.7557735 0.8874823\n",
            "0.75599134 0.8872449\n",
            "0.7562092 0.8871141\n",
            "0.75642705 0.8869482\n",
            "0.75664496 0.88683206\n",
            "0.7568628 0.8866031\n",
            "0.7570807 0.88641685\n",
            "0.7572985 0.88625914\n",
            "0.7575164 0.88603127\n",
            "0.75773424 0.8857475\n",
            "0.75795215 0.8855204\n",
            "0.75817 0.8851953\n",
            "0.75838786 0.8848357\n",
            "0.7586057 0.8846661\n",
            "0.7588236 0.8844337\n",
            "0.7590414 0.8842577\n",
            "0.75925934 0.884138\n",
            "0.7594772 0.8840324\n",
            "0.75969505 0.8839131\n",
            "0.7599129 0.88378\n",
            "0.76013076 0.883682\n",
            "0.7603486 0.883626\n",
            "0.76056653 0.8835422\n",
            "0.7607844 0.88336116\n",
            "0.76100224 0.8832916\n",
            "0.7612201 0.8831319\n",
            "0.76143795 0.8830211\n",
            "0.7616558 0.88293123\n",
            "0.7618737 0.8828415\n",
            "0.7620916 0.88269657\n",
            "0.76230943 0.8826072\n",
            "0.7625273 0.8825387\n",
            "0.76274514 0.8824082\n",
            "0.762963 0.8823262\n",
            "0.7631809 0.88225806\n",
            "0.76339877 0.8820592\n",
            "0.7636166 0.8819433\n",
            "0.7638345 0.88182753\n",
            "0.76405233 0.8817532\n",
            "0.7642702 0.8816241\n",
            "0.7644881 0.8815569\n",
            "0.76470596 0.8814693\n",
            "0.7649238 0.881416\n",
            "0.76514167 0.88134235\n",
            "0.7653595 0.88125515\n",
            "0.7655774 0.881209\n",
            "0.7657953 0.881163\n",
            "0.76601315 0.88115114\n",
            "0.766231 0.88111883\n",
            "0.76644886 0.8810934\n",
            "0.7666667 0.88106805\n",
            "0.76688457 0.8809883\n",
            "0.7671025 0.8809359\n",
            "0.76732033 0.8809107\n",
            "0.7675382 0.8808177\n",
            "0.76775604 0.88074523\n",
            "0.7679739 0.8807\n",
            "0.76819175 0.8806074\n",
            "0.76840967 0.88055557\n",
            "0.7686275 0.88049704\n",
            "0.7688454 0.88044536\n",
            "0.76906323 0.88033307\n",
            "0.7692811 0.88028157\n",
            "0.76949894 0.8802369\n",
            "0.76971686 0.8802058\n",
            "0.7699347 0.88015455\n",
            "0.77015257 0.8800094\n",
            "0.7703704 0.87992483\n",
            "0.7705883 0.87987393\n",
            "0.77080613 0.87970924\n",
            "0.77102405 0.8796051\n",
            "0.7712419 0.87947434\n",
            "0.77145976 0.87929696\n",
            "0.7716776 0.8792067\n",
            "0.77189547 0.8791967\n",
            "0.7721133 0.87920666\n",
            "0.77233124 0.87917\n",
            "0.7725491 0.8791267\n",
            "0.77276695 0.8790636\n",
            "0.7729848 0.8789474\n",
            "0.77320266 0.8788579\n",
            "0.7734205 0.8787885\n",
            "0.7736384 0.8786728\n",
            "0.7738563 0.87853074\n",
            "0.77407414 0.87846833\n",
            "0.774292 0.8782474\n",
            "0.77450985 0.8780796\n",
            "0.7747277 0.8780045\n",
            "0.7749456 0.8779493\n",
            "0.7751635 0.87792724\n",
            "0.7753813 0.87794465\n",
            "0.7755992 0.8778568\n",
            "0.77581704 0.8776506\n",
            "0.7760349 0.87757623\n",
            "0.7762528 0.8775151\n",
            "0.77647066 0.87745404\n",
            "0.7766885 0.8773931\n",
            "0.7769064 0.87731916\n",
            "0.7771242 0.8772388\n",
            "0.7773421 0.87717164\n",
            "0.77756 0.8770915\n",
            "0.77777785 0.8770311\n",
            "0.7779957 0.87694466\n",
            "0.77821356 0.87685835\n",
            "0.7784314 0.8767396\n",
            "0.7786493 0.8766927\n",
            "0.7788672 0.8764832\n",
            "0.77908504 0.87637806\n",
            "0.7793029 0.87626654\n",
            "0.77952075 0.87607735\n",
            "0.7797386 0.87584955\n",
            "0.77995646 0.8756091\n",
            "0.7801744 0.87547916\n",
            "0.7803922 0.8753235\n",
            "0.7806101 0.87518746\n",
            "0.78082794 0.875\n",
            "0.7810458 0.8747999\n",
            "0.78126365 0.8746775\n",
            "0.78148156 0.87458754\n",
            "0.7816994 0.87436247\n",
            "0.7819173 0.8742857\n",
            "0.7821351 0.87415767\n",
            "0.782353 0.8740041\n",
            "0.78257084 0.87389576\n",
            "0.78278875 0.8737619\n",
            "0.7830066 0.8736987\n",
            "0.78322446 0.87348837\n",
            "0.7834423 0.8733039\n",
            "0.7836602 0.87309414\n",
            "0.783878 0.8729678\n",
            "0.78409594 0.8728353\n",
            "0.7843138 0.872671\n",
            "0.78453165 0.87239224\n",
            "0.7847495 0.8722477\n",
            "0.78496736 0.8719761\n",
            "0.7851852 0.87179387\n",
            "0.78540313 0.87165016\n",
            "0.785621 0.8714685\n",
            "0.78583884 0.8712998\n",
            "0.7860567 0.87116313\n",
            "0.78627455 0.87102026\n",
            "0.7864924 0.87089664\n",
            "0.7867103 0.8707796\n",
            "0.7869282 0.8705994\n",
            "0.78714603 0.8704827\n",
            "0.7873639 0.87030303\n",
            "0.78758174 0.8701236\n",
            "0.7877996 0.869913\n",
            "0.7880175 0.86980975\n",
            "0.78823537 0.86965007\n",
            "0.7884532 0.86954087\n",
            "0.7886711 0.86938787\n",
            "0.78888893 0.8692414\n",
            "0.7891068 0.86913276\n",
            "0.7893247 0.8690682\n",
            "0.78954256 0.86892855\n",
            "0.7897604 0.8687641\n",
            "0.78997827 0.8686624\n",
            "0.7901961 0.86852336\n",
            "0.790414 0.8684283\n",
            "0.7906319 0.8683458\n",
            "0.79084975 0.86820734\n",
            "0.7910676 0.86814386\n",
            "0.79128546 0.8680244\n",
            "0.7915033 0.8679238\n",
            "0.79172117 0.86781096\n",
            "0.7919391 0.86765474\n",
            "0.79215693 0.86755466\n",
            "0.7923748 0.86739266\n",
            "0.79259264 0.8672123\n",
            "0.7928105 0.86715615\n",
            "0.79302835 0.86703193\n",
            "0.79324627 0.86689556\n",
            "0.7934641 0.86669755\n",
            "0.793682 0.8664628\n",
            "0.79389983 0.8663333\n",
            "0.7941177 0.8661732\n",
            "0.79433554 0.86595166\n",
            "0.79455346 0.8657736\n",
            "0.7947713 0.8656204\n",
            "0.79498917 0.8655658\n",
            "0.795207 0.8653331\n",
            "0.7954249 0.8651867\n",
            "0.79564273 0.86505276\n",
            "0.79586065 0.8648516\n",
            "0.7960785 0.86474264\n",
            "0.79629636 0.8644624\n",
            "0.7965142 0.8642621\n",
            "0.79673207 0.86421496\n",
            "0.7969499 0.86406404\n",
            "0.79716784 0.8639316\n",
            "0.7973857 0.8638177\n",
            "0.79760355 0.8636979\n",
            "0.7978214 0.8635782\n",
            "0.79803926 0.86349523\n",
            "0.7982571 0.8633394\n",
            "0.798475 0.8632507\n",
            "0.7986929 0.86316204\n",
            "0.79891074 0.86304927\n",
            "0.7991286 0.8628821\n",
            "0.79934645 0.8628182\n",
            "0.7995643 0.8627604\n",
            "0.7997822 0.8627088\n",
            "0.8000001 0.86256653\n",
            "0.8002179 0.86249095\n",
            "0.8004358 0.86244565\n",
            "0.80065364 0.86236423\n",
            "0.8008715 0.862301\n",
            "0.8010894 0.8621897\n",
            "0.80130726 0.8620604\n",
            "0.8015251 0.8619615\n",
            "0.801743 0.8618687\n",
            "0.8019608 0.8618181\n",
            "0.8021787 0.86174953\n",
            "0.8023966 0.86165106\n",
            "0.80261445 0.86158276\n",
            "0.8028323 0.86152047\n",
            "0.80305016 0.8614763\n",
            "0.803268 0.8613903\n",
            "0.8034859 0.8611669\n",
            "0.8037038 0.8610275\n",
            "0.80392164 0.86093\n",
            "0.8041395 0.8608447\n",
            "0.80435735 0.86069983\n",
            "0.8045752 0.8604837\n",
            "0.80479306 0.8603393\n",
            "0.805011 0.8601951\n",
            "0.8052288 0.860063\n",
            "0.8054467 0.85996675\n",
            "0.80566454 0.8599062\n",
            "0.8058824 0.8597034\n",
            "0.80610025 0.8595958\n",
            "0.80631816 0.8594942\n",
            "0.806536 0.8594223\n",
            "0.8067539 0.85934466\n",
            "0.8069717 0.8592494\n",
            "0.8071896 0.8591543\n",
            "0.80740744 0.8591478\n",
            "0.80762535 0.8589467\n",
            "0.8078432 0.8588932\n",
            "0.80806106 0.8587043\n",
            "0.8082789 0.8585982\n",
            "0.8084968 0.8585274\n",
            "0.8087146 0.8584685\n",
            "0.80893254 0.85830986\n",
            "0.8091504 0.8582101\n",
            "0.80936825 0.85801667\n",
            "0.8095861 0.85793483\n",
            "0.80980396 0.85784143\n",
            "0.8100218 0.8577715\n",
            "0.81023973 0.85769004\n",
            "0.8104576 0.8575678\n",
            "0.81067544 0.8574982\n",
            "0.8108933 0.85735875\n",
            "0.81111115 0.8572895\n",
            "0.811329 0.8572086\n",
            "0.8115469 0.85704637\n",
            "0.8117648 0.8568959\n",
            "0.81198263 0.85682714\n",
            "0.8122005 0.85677594\n",
            "0.81241834 0.85659117\n",
            "0.8126362 0.8565111\n",
            "0.8128541 0.8564428\n",
            "0.81307197 0.8564094\n",
            "0.8132898 0.85630065\n",
            "0.8135077 0.85614\n",
            "0.81372553 0.85605484\n",
            "0.8139434 0.8560102\n",
            "0.8141613 0.8558443\n",
            "0.81437916 0.85584027\n",
            "0.814597 0.8557843\n",
            "0.81481487 0.85572267\n",
            "0.8150327 0.85567844\n",
            "0.8152506 0.8556687\n",
            "0.8154685 0.85563606\n",
            "0.81568635 0.8555345\n",
            "0.8159042 0.8554847\n",
            "0.81612206 0.8554465\n",
            "0.8163399 0.85539114\n",
            "0.81655777 0.85529\n",
            "0.8167757 0.855189\n",
            "0.81699353 0.8551282\n",
            "0.8172114 0.8550389\n",
            "0.81742924 0.8549669\n",
            "0.8176471 0.85495204\n",
            "0.81786495 0.85487443\n",
            "0.81808287 0.85482544\n",
            "0.8183007 0.8547823\n",
            "0.8185186 0.8547505\n",
            "0.81873643 0.8547245\n",
            "0.8189543 0.85469854\n",
            "0.81917214 0.85460436\n",
            "0.81939006 0.85453874\n",
            "0.8196079 0.8543994\n",
            "0.81982577 0.854334\n",
            "0.8200436 0.8542857\n",
            "0.8202615 0.8541865\n",
            "0.82047933 0.85414404\n",
            "0.82069725 0.8540337\n",
            "0.8209151 0.85394615\n",
            "0.82113296 0.8538192\n",
            "0.8213508 0.8538166\n",
            "0.82156867 0.8537181\n",
            "0.8217865 0.8536649\n",
            "0.82200444 0.85361165\n",
            "0.8222223 0.8535248\n",
            "0.82244015 0.853528\n",
            "0.822658 0.8535144\n",
            "0.82287586 0.8534952\n",
            "0.8230937 0.8534647\n",
            "0.8233116 0.8534343\n",
            "0.8235295 0.8534264\n",
            "0.82374734 0.85344094\n",
            "0.8239652 0.853461\n",
            "0.82418305 0.85341394\n",
            "0.8244009 0.8533501\n",
            "0.8246188 0.8532025\n",
            "0.8248367 0.8532451\n",
            "0.8250545 0.85307544\n",
            "0.8252724 0.8530623\n",
            "0.82549024 0.85288185\n",
            "0.8257081 0.8528632\n",
            "0.825926 0.852878\n",
            "0.82614386 0.85287607\n",
            "0.8263617 0.85287416\n",
            "0.8265796 0.85270554\n",
            "0.8267974 0.8525039\n",
            "0.8270153 0.8524412\n",
            "0.8272332 0.8522178\n",
            "0.82745105 0.8522163\n",
            "0.8276689 0.8521207\n",
            "0.82788676 0.8520197\n",
            "0.8281046 0.8519188\n",
            "0.82832247 0.8518899\n",
            "0.8285404 0.8518279\n",
            "0.82875824 0.8516777\n",
            "0.8289761 0.8516104\n",
            "0.82919395 0.85154873\n",
            "0.8294118 0.8514761\n",
            "0.82962966 0.8514366\n",
            "0.8298476 0.8514522\n",
            "0.8300654 0.8513962\n",
            "0.8302833 0.85134035\n",
            "0.83050114 0.8512956\n",
            "0.830719 0.8513002\n",
            "0.83093685 0.85122806\n",
            "0.83115476 0.85119987\n",
            "0.8313726 0.8512046\n",
            "0.8315905 0.85116\n",
            "0.8318083 0.8511538\n",
            "0.8320262 0.8511585\n",
            "0.83224404 0.85114133\n",
            "0.83246195 0.85114604\n",
            "0.8326798 0.8511671\n",
            "0.83289766 0.8511718\n",
            "0.8331155 0.8511438\n",
            "0.8333334 0.85113215\n",
            "0.8335512 0.85101175\n",
            "0.83376914 0.85094583\n",
            "0.833987 0.85092354\n",
            "0.83420485 0.8509229\n",
            "0.8344227 0.85093856\n",
            "0.83464056 0.85093254\n",
            "0.8348584 0.8509211\n",
            "0.83507633 0.85093135\n",
            "0.8352942 0.8509362\n",
            "0.83551204 0.8509139\n",
            "0.8357299 0.85092956\n",
            "0.83594775 0.85092354\n",
            "0.8361656 0.8509283\n",
            "0.8363835 0.85092235\n",
            "0.8366014 0.8508894\n",
            "0.83681923 0.85091573\n",
            "0.8370371 0.85090977\n",
            "0.83725494 0.85072625\n",
            "0.8374728 0.85067743\n",
            "0.8376907 0.8506662\n",
            "0.83790857 0.85067654\n",
            "0.8381264 0.8506815\n",
            "0.8383443 0.8506971\n",
            "0.83856213 0.8506913\n",
            "0.83878 0.8505784\n",
            "0.8389979 0.85054594\n",
            "0.83921576 0.8505402\n",
            "0.8394336 0.85047036\n",
            "0.83965147 0.8505075\n",
            "0.8398693 0.85047513\n",
            "0.8400872 0.85044813\n",
            "0.8403051 0.8504425\n",
            "0.84052294 0.8504476\n",
            "0.8407408 0.8504526\n",
            "0.84095865 0.850431\n",
            "0.8411765 0.8504148\n",
            "0.84139436 0.8504358\n",
            "0.8416123 0.8503824\n",
            "0.84183013 0.85042465\n",
            "0.842048 0.85044557\n",
            "0.84226584 0.8504241\n",
            "0.8424837 0.8504397\n",
            "0.84270155 0.8504606\n",
            "0.84291947 0.85045505\n",
            "0.8431373 0.8504653\n",
            "0.8433552 0.85041744\n",
            "0.84357303 0.85042775\n",
            "0.8437909 0.85038525\n",
            "0.84400874 0.85039556\n",
            "0.84422666 0.85042167\n",
            "0.8444445 0.8503424\n",
            "0.84466237 0.85034215\n",
            "0.8448802 0.85036826\n",
            "0.8450981 0.85034174\n",
            "0.84531593 0.8503836\n",
            "0.84553385 0.8503781\n",
            "0.8457517 0.85032535\n",
            "0.84596956 0.85034615\n",
            "0.8461874 0.85037214\n",
            "0.84640527 0.85028285\n",
            "0.8466231 0.85029835\n",
            "0.84684104 0.8502459\n",
            "0.8470589 0.8502457\n",
            "0.84727675 0.8501829\n",
            "0.8474946 0.8501984\n",
            "0.84771246 0.8501774\n",
            "0.8479303 0.8502034\n",
            "0.8481482 0.8502189\n",
            "0.8483661 0.85025\n",
            "0.84858394 0.8502134\n",
            "0.8488018 0.8501977\n",
            "0.84901965 0.85018194\n",
            "0.8492375 0.8501143\n",
            "0.8494554 0.8500935\n",
            "0.8496733 0.85006744\n",
            "0.8498911 0.85002595\n",
            "0.850109 0.8500518\n",
            "0.85032684 0.8500673\n",
            "0.8505447 0.8500466\n",
            "0.8507626 0.8500362\n",
            "0.85098046 0.84996897\n",
            "0.8511983 0.84995353\n",
            "0.8514162 0.84993804\n",
            "0.851634 0.8499174\n",
            "0.8518519 0.8499536\n",
            "0.8520698 0.84992784\n",
            "0.85228765 0.84994334\n",
            "0.8525055 0.8499382\n",
            "0.85272336 0.8499486\n",
            "0.8529412 0.8499486\n",
            "0.85315907 0.84994864\n",
            "0.853377 0.8499384\n",
            "0.85359484 0.84993845\n",
            "0.8538127 0.8499026\n",
            "0.85403055 0.8498719\n",
            "0.8542484 0.84989756\n",
            "0.85446626 0.84995395\n",
            "0.8546842 0.84990793\n",
            "0.854902 0.8498824\n",
            "0.8551199 0.8499131\n",
            "0.85533774 0.84989786\n",
            "0.8555556 0.8498622\n",
            "0.85577345 0.8498725\n",
            "0.85599136 0.8498828\n",
            "0.8562092 0.84986246\n",
            "0.8564271 0.8497811\n",
            "0.8566449 0.84969985\n",
            "0.8568628 0.84970003\n",
            "0.85708064 0.84969\n",
            "0.85729855 0.8497258\n",
            "0.8575164 0.8497209\n",
            "0.85773426 0.84974134\n",
            "0.8579521 0.8497313\n",
            "0.85817 0.8497366\n",
            "0.8583878 0.849757\n",
            "0.85860574 0.84975713\n",
            "0.8588236 0.8496764\n",
            "0.85904145 0.84965634\n",
            "0.8592593 0.8495505\n",
            "0.85947716 0.84953564\n",
            "0.859695 0.8495712\n",
            "0.85991293 0.84957653\n",
            "0.8601308 0.8495667\n",
            "0.86034864 0.84959215\n",
            "0.8605665 0.8495874\n",
            "0.86078435 0.8496027\n",
            "0.8610022 0.84960794\n",
            "0.8612201 0.84962827\n",
            "0.861438 0.8496235\n",
            "0.86165583 0.84961367\n",
            "0.8618737 0.849634\n",
            "0.86209154 0.84961915\n",
            "0.8623094 0.8495643\n",
            "0.8625273 0.84950453\n",
            "0.86274517 0.8494698\n",
            "0.862963 0.84935015\n",
            "0.8631809 0.8493505\n",
            "0.86339873 0.8493459\n",
            "0.8636166 0.8492715\n",
            "0.8638345 0.84928185\n",
            "0.86405236 0.8491627\n",
            "0.8642702 0.84911335\n",
            "0.86448807 0.8491338\n",
            "0.8647059 0.84908956\n",
            "0.8649238 0.8488962\n",
            "0.8651417 0.84888196\n",
            "0.86535954 0.84883296\n",
            "0.8655774 0.84871453\n",
            "0.86579525 0.84869045\n",
            "0.8660131 0.8486417\n",
            "0.86623096 0.8486375\n",
            "0.8664489 0.8486334\n",
            "0.86666673 0.8485946\n",
            "0.8668846 0.8485213\n",
            "0.86710244 0.848532\n",
            "0.8673203 0.848523\n",
            "0.86753815 0.8485387\n",
            "0.86775607 0.8485593\n",
            "0.8679739 0.8485552\n",
            "0.8681918 0.8484575\n",
            "0.86840963 0.8484141\n",
            "0.8686275 0.8484101\n",
            "0.86884534 0.84828806\n",
            "0.86906326 0.848235\n",
            "0.8692811 0.84820163\n",
            "0.86949897 0.8481929\n",
            "0.8697168 0.8482038\n",
            "0.8699347 0.8481656\n",
            "0.87015253 0.8481716\n",
            "0.87037045 0.8481873\n",
            "0.8705883 0.848159\n",
            "0.87080616 0.848165\n",
            "0.871024 0.8481759\n",
            "0.87124187 0.8482063\n",
            "0.8714597 0.8481487\n",
            "0.87167764 0.84814\n",
            "0.8718955 0.8481704\n",
            "0.87211335 0.8481812\n",
            "0.8723312 0.8481725\n",
            "0.87254906 0.84810054\n",
            "0.8727669 0.848087\n",
            "0.8729848 0.84809786\n",
            "0.8732027 0.848133\n",
            "0.87342054 0.8481487\n",
            "0.8736384 0.8481546\n",
            "0.87385625 0.8481848\n",
            "0.8740741 0.84819555\n",
            "0.874292 0.8481966\n",
            "0.8745099 0.8481977\n",
            "0.8747277 0.84815997\n",
            "0.8749456 0.84818524\n",
            "0.87516344 0.84819597\n",
            "0.8753813 0.8482212\n",
            "0.8755992 0.8482512\n",
            "0.87581706 0.84828603\n",
            "0.8760349 0.84827733\n",
            "0.8762528 0.8482735\n",
            "0.8764706 0.8482745\n",
            "0.8766885 0.84828997\n",
            "0.8769064 0.84831506\n",
            "0.87712425 0.84833527\n",
            "0.8773421 0.84836507\n",
            "0.87755996 0.8483708\n",
            "0.8777778 0.84841496\n",
            "0.87799567 0.8483343\n",
            "0.8782136 0.84833044\n",
            "0.87843144 0.8483458\n",
            "0.8786493 0.84836113\n",
            "0.87886715 0.848386\n",
            "0.879085 0.8483917\n",
            "0.87930286 0.8484357\n",
            "0.8795208 0.84842706\n",
            "0.8797386 0.8483515\n",
            "0.8799565 0.84836674\n",
            "0.88017434 0.84835815\n",
            "0.8803922 0.8483496\n",
            "0.88061005 0.84833145\n",
            "0.88082796 0.8483657\n",
            "0.8810458 0.84840477\n",
            "0.8812637 0.8483771\n",
            "0.8814815 0.8483828\n",
            "0.8816994 0.8483885\n",
            "0.88191724 0.8483894\n",
            "0.88213515 0.8484378\n",
            "0.882353 0.84839123\n",
            "0.88257086 0.8484016\n",
            "0.8827887 0.84841675\n",
            "0.8830066 0.8484224\n",
            "0.8832244 0.84844226\n",
            "0.88344234 0.84846205\n",
            "0.8836602 0.8485007\n",
            "0.88387805 0.8485394\n",
            "0.8840959 0.84852135\n",
            "0.88431376 0.8485364\n",
            "0.8845316 0.84855604\n",
            "0.88474953 0.84853804\n",
            "0.8849674 0.8486048\n",
            "0.88518524 0.8485915\n",
            "0.8854031 0.84852636\n",
            "0.88562095 0.84846133\n",
            "0.8858388 0.8484575\n",
            "0.8860567 0.84836906\n",
            "0.8862746 0.8483841\n",
            "0.88649243 0.848385\n",
            "0.8867103 0.8483859\n",
            "0.88692814 0.84838676\n",
            "0.887146 0.8484018\n",
            "0.8873639 0.8484167\n",
            "0.88758177 0.8484457\n",
            "0.8877996 0.84844655\n",
            "0.8880175 0.8484755\n",
            "0.88823533 0.8485091\n",
            "0.8884532 0.8484959\n",
            "0.8886711 0.8484827\n",
            "0.88888896 0.8484883\n",
            "0.8891068 0.8484984\n",
            "0.88932467 0.8484946\n",
            "0.8895425 0.8485001\n",
            "0.8897604 0.8484916\n",
            "0.8899783 0.84848315\n",
            "0.89019614 0.84838635\n",
            "0.890414 0.8483175\n",
            "0.89063185 0.84832776\n",
            "0.8908497 0.8482219\n",
            "0.89106756 0.8482043\n",
            "0.8912855 0.8481868\n",
            "0.89150333 0.8481554\n",
            "0.8917212 0.84806377\n",
            "0.89193904 0.84805095\n",
            "0.8921569 0.84798723\n",
            "0.89237475 0.8479606\n",
            "0.89259267 0.8480033\n",
            "0.8928105 0.8480183\n",
            "0.8930284 0.8480148\n",
            "0.89324623 0.84801126\n",
            "0.8934641 0.84804463\n",
            "0.89368194 0.84797657\n",
            "0.89389986 0.8479823\n",
            "0.8941177 0.8479512\n",
            "0.89433557 0.8479431\n",
            "0.8945534 0.84786147\n",
            "0.8947713 0.84783965\n",
            "0.89498913 0.8478271\n",
            "0.89520705 0.8478237\n",
            "0.8954249 0.8478157\n",
            "0.89564276 0.8477573\n",
            "0.8958606 0.84774476\n",
            "0.89607847 0.8477643\n",
            "0.8962963 0.84776556\n",
            "0.89651424 0.84772104\n",
            "0.8967321 0.8477589\n",
            "0.89694995 0.8477647\n",
            "0.8971678 0.8477659\n",
            "0.89738566 0.8477854\n",
            "0.8976035 0.84774554\n",
            "0.8978214 0.847765\n",
            "0.8980393 0.84778446\n",
            "0.89825714 0.8477675\n",
            "0.898475 0.8478051\n",
            "0.89869285 0.8478245\n",
            "0.8989107 0.84786206\n",
            "0.8991286 0.84788144\n",
            "0.8993465 0.84785986\n",
            "0.8995643 0.8478883\n",
            "0.8997822 0.8478486\n",
            "0.90000004 0.8478543\n",
            "0.9002179 0.8478872\n",
            "0.9004358 0.84785664\n",
            "0.90065366 0.8478895\n",
            "0.9008715 0.84784085\n",
            "0.9010894 0.8478375\n",
            "0.9013072 0.8478477\n",
            "0.9015251 0.8478489\n",
            "0.901743 0.84784555\n",
            "0.90196085 0.8478693\n",
            "0.9021787 0.8478569\n",
            "0.90239656 0.84789413\n",
            "0.9026144 0.8479403\n",
            "0.90283227 0.8479459\n",
            "0.9030502 0.8479876\n",
            "0.90326804 0.84800667\n",
            "0.9034859 0.84804374\n",
            "0.90370375 0.8480133\n",
            "0.9039216 0.84801435\n",
            "0.90413946 0.8480154\n",
            "0.9043574 0.84801203\n",
            "0.9045752 0.84800863\n",
            "0.9047931 0.84804106\n",
            "0.90501094 0.84804213\n",
            "0.9052288 0.8480387\n",
            "0.90544665 0.84806657\n",
            "0.90566456 0.84804976\n",
            "0.9058824 0.8480508\n",
            "0.9061003 0.8480608\n",
            "0.9063181 0.84803504\n",
            "0.906536 0.8479959\n",
            "0.90675384 0.84801483\n",
            "0.90697175 0.8479624\n",
            "0.9071896 0.84800357\n",
            "0.90740746 0.8480091\n",
            "0.9076253 0.84802794\n",
            "0.9078432 0.8480468\n",
            "0.908061 0.8480256\n",
            "0.90827894 0.8480356\n",
            "0.9084968 0.8480766\n",
            "0.90871465 0.8480998\n",
            "0.9089325 0.84810084\n",
            "0.90915036 0.8480841\n",
            "0.9093682 0.848094\n",
            "0.90958613 0.8481083\n",
            "0.909804 0.84812254\n",
            "0.91002184 0.848097\n",
            "0.9102397 0.84809804\n",
            "0.91045755 0.84813\n",
            "0.9106754 0.84815747\n",
            "0.9108933 0.8481585\n",
            "0.9111112 0.8481859\n",
            "0.91132903 0.8481957\n",
            "0.9115469 0.8482363\n",
            "0.91176474 0.8482637\n",
            "0.9119826 0.8482778\n",
            "0.9122005 0.8483096\n",
            "0.91241837 0.84835005\n",
            "0.9126362 0.84837294\n",
            "0.9128541 0.8483738\n",
            "0.91307193 0.84837025\n",
            "0.9132898 0.8483887\n",
            "0.9135077 0.8484246\n",
            "0.91372555 0.84845173\n",
            "0.9139434 0.84846574\n",
            "0.91416126 0.8484972\n",
            "0.9143791 0.8485243\n",
            "0.914597 0.8485338\n",
            "0.9148149 0.84855205\n",
            "0.91503274 0.8485528\n",
            "0.9152506 0.8485754\n",
            "0.91546845 0.8485718\n",
            "0.9156863 0.84859437\n",
            "0.91590416 0.84859073\n",
            "0.9161221 0.8486351\n",
            "0.91633993 0.8486881\n",
            "0.9165578 0.8486888\n",
            "0.91677564 0.84869385\n",
            "0.9169935 0.84873366\n",
            "0.91721135 0.8487474\n",
            "0.91742927 0.8487611\n",
            "0.9176471 0.84874\n",
            "0.917865 0.8487841\n",
            "0.91808283 0.8487153\n",
            "0.9183007 0.8487246\n",
            "0.91851854 0.84874696\n",
            "0.91873646 0.8487346\n",
            "0.9189543 0.84876126\n",
            "0.91917217 0.8487662\n",
            "0.91939 0.8488015\n",
            "0.9196079 0.848841\n",
            "0.91982573 0.8488719\n",
            "0.92004365 0.8488984\n",
            "0.9202615 0.8488903\n",
            "0.92047936 0.84891677\n",
            "0.9206972 0.8489346\n",
            "0.92091507 0.8489481\n",
            "0.9211329 0.84897447\n",
            "0.92135084 0.8489922\n",
            "0.9215687 0.8490186\n",
            "0.92178655 0.849032\n",
            "0.9220044 0.8490239\n",
            "0.92222226 0.8489642\n",
            "0.9224401 0.8489691\n",
            "0.922658 0.8489481\n",
            "0.9228759 0.84895724\n",
            "0.92309374 0.84897065\n",
            "0.9233116 0.84891546\n",
            "0.92352945 0.84894603\n",
            "0.9237473 0.8489594\n",
            "0.9239652 0.8488872\n",
            "0.9241831 0.84890914\n",
            "0.9244009 0.84891826\n",
            "0.9246188 0.848906\n",
            "0.92483664 0.8489023\n",
            "0.9250545 0.84892845\n",
            "0.9252724 0.8489333\n",
            "0.92549026 0.8488997\n",
            "0.9257081 0.848913\n",
            "0.92592597 0.8489349\n",
            "0.9261438 0.84891415\n",
            "0.9263617 0.8488977\n",
            "0.9265796 0.84890676\n",
            "0.92679745 0.84894985\n",
            "0.9270153 0.8490099\n",
            "0.92723316 0.8490571\n",
            "0.927451 0.8490703\n",
            "0.92766887 0.8491005\n",
            "0.9278868 0.84910095\n",
            "0.92810464 0.84909713\n",
            "0.9283225 0.8490679\n",
            "0.92854035 0.8490769\n",
            "0.9287582 0.84907734\n",
            "0.92897606 0.8491032\n",
            "0.929194 0.849129\n",
            "0.9294118 0.84917176\n",
            "0.9296297 0.84915525\n",
            "0.92984754 0.849181\n",
            "0.9300654 0.8492152\n",
            "0.93028325 0.8492198\n",
            "0.93050116 0.8492497\n",
            "0.930719 0.84926695\n",
            "0.9309369 0.849301\n",
            "0.9311547 0.84933925\n",
            "0.9313726 0.8493017\n",
            "0.93159044 0.8493357\n",
            "0.93180835 0.84935284\n",
            "0.9320262 0.84938675\n",
            "0.93224406 0.84939545\n",
            "0.9324619 0.84939575\n",
            "0.9326798 0.84942544\n",
            "0.9328976 0.8494299\n",
            "0.93311554 0.8494595\n",
            "0.9333334 0.8494849\n",
            "0.93355125 0.84948516\n",
            "0.9337691 0.8494729\n",
            "0.93398696 0.8495066\n",
            "0.9342048 0.8495403\n",
            "0.93442273 0.8495572\n",
            "0.9346406 0.8495825\n",
            "0.93485844 0.8495911\n",
            "0.9350763 0.84962046\n",
            "0.93529415 0.8496248\n",
            "0.935512 0.84961665\n",
            "0.9357299 0.8496335\n",
            "0.9359478 0.84959626\n",
            "0.93616563 0.8496214\n",
            "0.9363835 0.8496382\n",
            "0.93660134 0.849601\n",
            "0.9368192 0.8496012\n",
            "0.9370371 0.84962213\n",
            "0.93725497 0.84958917\n",
            "0.9374728 0.84961426\n",
            "0.9376907 0.8496352\n",
            "0.93790853 0.84964365\n",
            "0.9381264 0.8496645\n",
            "0.9383443 0.84961915\n",
            "0.93856215 0.84959453\n",
            "0.93878 0.8495988\n",
            "0.93899786 0.8496156\n",
            "0.9392157 0.84963226\n",
            "0.9394336 0.8496201\n",
            "0.9396515 0.84961617\n",
            "0.93986934 0.8496246\n",
            "0.9400872 0.84962475\n",
            "0.94030505 0.8496126\n",
            "0.9405229 0.8496128\n",
            "0.94074076 0.84962535\n",
            "0.9409587 0.8496461\n",
            "0.94117653 0.8496545\n",
            "0.9413944 0.8496382\n",
            "0.94161224 0.8496466\n",
            "0.9418301 0.8496386\n",
            "0.94204795 0.849647\n",
            "0.94226587 0.8496348\n",
            "0.9424837 0.84964323\n",
            "0.9427016 0.8496516\n",
            "0.94291943 0.84968865\n",
            "0.9431373 0.8496929\n",
            "0.94335514 0.849693\n",
            "0.94357306 0.84964\n",
            "0.9437909 0.8496811\n",
            "0.94400877 0.8496812\n",
            "0.9442266 0.8496201\n",
            "0.9444445 0.8496244\n",
            "0.94466233 0.8496164\n",
            "0.94488025 0.8496084\n",
            "0.9450981 0.84961677\n",
            "0.94531596 0.84962916\n",
            "0.9455338 0.8496538\n",
            "0.94575167 0.8496865\n",
            "0.9459695 0.84969074\n",
            "0.94618744 0.8497153\n",
            "0.9464053 0.8497561\n",
            "0.94662315 0.84975624\n",
            "0.946841 0.8497766\n",
            "0.94705886 0.84978485\n",
            "0.9472767 0.8497363\n",
            "0.9474946 0.8497648\n",
            "0.9477125 0.8497609\n",
            "0.94793034 0.8497205\n",
            "0.9481482 0.84974086\n",
            "0.94836605 0.8497774\n",
            "0.9485839 0.8498018\n",
            "0.9488018 0.8498342\n",
            "0.9490197 0.8498141\n",
            "0.9492375 0.8498465\n",
            "0.9494554 0.84986675\n",
            "0.94967324 0.84985876\n",
            "0.9498911 0.849883\n",
            "0.950109 0.8499073\n",
            "0.95032686 0.84992343\n",
            "0.9505447 0.84994763\n",
            "0.95076257 0.8499799\n",
            "0.9509804 0.8500081\n",
            "0.9511983 0.85003215\n",
            "0.9514162 0.85006434\n",
            "0.95163405 0.8500723\n",
            "0.9518519 0.8500964\n",
            "0.95206976 0.8501084\n",
            "0.9522876 0.85008425\n",
            "0.95250547 0.8501003\n",
            "0.9527234 0.85012025\n",
            "0.95294124 0.85015625\n",
            "0.9531591 0.8501842\n",
            "0.95337695 0.8501801\n",
            "0.9535948 0.85017204\n",
            "0.95381266 0.85014397\n",
            "0.9540306 0.8501559\n",
            "0.9542484 0.8501878\n",
            "0.9544663 0.8502076\n",
            "0.95468414 0.8502115\n",
            "0.954902 0.85021544\n",
            "0.95511985 0.85019535\n",
            "0.95533776 0.8501953\n",
            "0.9555556 0.8502151\n",
            "0.9557735 0.8502349\n",
            "0.9559913 0.8502348\n",
            "0.9562092 0.8502466\n",
            "0.95642704 0.8501988\n",
            "0.95664495 0.8502106\n",
            "0.9568628 0.8500993\n",
            "0.95708066 0.8500953\n",
            "0.9572985 0.8501349\n",
            "0.9575164 0.85006744\n",
            "0.9577342 0.85003173\n",
            "0.95795214 0.85000396\n",
            "0.95817 0.8499802\n",
            "0.95838785 0.8499723\n",
            "0.9586057 0.8499446\n",
            "0.95882356 0.8499565\n",
            "0.9590414 0.85000396\n",
            "0.95925933 0.8500158\n",
            "0.9594772 0.85003555\n",
            "0.95969504 0.85006315\n",
            "0.9599129 0.8500868\n",
            "0.96013075 0.85010254\n",
            "0.9603486 0.85009855\n",
            "0.9605665 0.85010636\n",
            "0.9607844 0.8501378\n",
            "0.96100223 0.8501417\n",
            "0.9612201 0.8501259\n",
            "0.96143794 0.8501337\n",
            "0.9616558 0.85014546\n",
            "0.9618737 0.8501493\n",
            "0.96209157 0.85012174\n",
            "0.9623094 0.85012954\n",
            "0.9625273 0.8501491\n",
            "0.96274513 0.85015684\n",
            "0.962963 0.85017246\n",
            "0.9631809 0.8501998\n",
            "0.96339875 0.8502428\n",
            "0.9636166 0.85027397\n",
            "0.96383446 0.8503091\n",
            "0.9640523 0.8503246\n",
            "0.9642702 0.85034394\n",
            "0.9644881 0.8503438\n",
            "0.96470594 0.8503827\n",
            "0.9649238 0.85041374\n",
            "0.96514165 0.85042524\n",
            "0.9653595 0.85042113\n",
            "0.96557736 0.8504521\n",
            "0.9657953 0.8504636\n",
            "0.96601313 0.8504829\n",
            "0.966231 0.8505177\n",
            "0.96644884 0.8505019\n",
            "0.9666667 0.8505172\n",
            "0.9668846 0.85054415\n",
            "0.96710247 0.8504779\n",
            "0.9673203 0.85047376\n",
            "0.9675382 0.8505046\n",
            "0.96775603 0.8505121\n",
            "0.9679739 0.8505429\n",
            "0.9681918 0.85056204\n",
            "0.96840966 0.8505695\n",
            "0.9686275 0.85055375\n",
            "0.96884537 0.85056895\n",
            "0.9690632 0.8506074\n",
            "0.9692811 0.8506419\n",
            "0.969499 0.8506648\n",
            "0.96971685 0.8507031\n",
            "0.9699347 0.8507337\n",
            "0.97015256 0.85075265\n",
            "0.9703704 0.8507755\n",
            "0.97058827 0.8507905\n",
            "0.9708062 0.85081714\n",
            "0.97102404 0.8508707\n",
            "0.9712419 0.85089725\n",
            "0.97145975 0.8509238\n",
            "0.9716776 0.85097337\n",
            "0.97189546 0.85097677\n",
            "0.9721134 0.85099554\n",
            "0.9723312 0.851022\n",
            "0.9725491 0.8510484\n",
            "0.97276694 0.8510786\n",
            "0.9729848 0.8511203\n",
            "0.97320265 0.85112745\n",
            "0.97342056 0.85115\n",
            "0.9736384 0.85115325\n",
            "0.9738563 0.8511489\n",
            "0.9740741 0.8511675\n",
            "0.974292 0.8511708\n",
            "0.97450984 0.8512123\n",
            "0.97472775 0.8512576\n",
            "0.9749456 0.8512953\n",
            "0.97516346 0.8513176\n",
            "0.9753813 0.85133225\n",
            "0.97559917 0.8513736\n",
            "0.975817 0.8513959\n",
            "0.97603494 0.85142195\n",
            "0.9762528 0.8514632\n",
            "0.97647065 0.8514892\n",
            "0.9766885 0.8515304\n",
            "0.97690636 0.8515791\n",
            "0.9771242 0.8516317\n",
            "0.9773421 0.85165757\n",
            "0.97756 0.8516986\n",
            "0.97777784 0.8517282\n",
            "0.9779957 0.8517502\n",
            "0.97821355 0.85176456\n",
            "0.9784314 0.85176754\n",
            "0.9786493 0.8518047\n",
            "0.9788672 0.85183793\n",
            "0.979085 0.85185987\n",
            "0.9793029 0.8518742\n",
            "0.97952074 0.8519074\n",
            "0.9797386 0.8519481\n",
            "0.9799565 0.85196614\n",
            "0.98017436 0.8519728\n",
            "0.9803922 0.85198325\n",
            "0.9806101 0.8520201\n",
            "0.9808279 0.8520343\n",
            "0.9810458 0.85204846\n",
            "0.9812637 0.8520815\n",
            "0.98148155 0.85209936\n",
            "0.9816994 0.85210973\n",
            "0.98191726 0.8521389\n",
            "0.9821351 0.85215676\n",
            "0.982353 0.8522047\n",
            "0.9825709 0.8522375\n",
            "0.98278874 0.85227036\n",
            "0.9830066 0.85229564\n",
            "0.98322445 0.85232085\n",
            "0.9834423 0.8523461\n",
            "0.98366016 0.85237503\n",
            "0.9838781 0.8523852\n",
            "0.98409593 0.8523954\n",
            "0.9843138 0.8524281\n",
            "0.98453164 0.8524307\n",
            "0.9847495 0.85241467\n",
            "0.98496735 0.8524472\n",
            "0.98518527 0.8524723\n",
            "0.9854031 0.85240394\n",
            "0.985621 0.85238415\n",
            "0.98583883 0.8523457\n",
            "0.9860567 0.85234094\n",
            "0.98627454 0.85237724\n",
            "0.98649246 0.85238737\n",
            "0.9867103 0.85237134\n",
            "0.98692816 0.8523442\n",
            "0.987146 0.85235435\n",
            "0.9873639 0.8523496\n",
            "0.98758173 0.8523113\n",
            "0.98779964 0.852314\n",
            "0.9880175 0.8523501\n",
            "0.98823535 0.8523082\n",
            "0.9884532 0.8522663\n",
            "0.98867106 0.85222447\n",
            "0.9888889 0.85222346\n",
            "0.98910683 0.8522002\n",
            "0.9893247 0.85217696\n",
            "0.98954254 0.85219085\n",
            "0.9897604 0.8522121\n",
            "0.98997825 0.8522259\n",
            "0.9901961 0.85223234\n",
            "0.990414 0.85224247\n",
            "0.9906319 0.85224885\n",
            "0.99084973 0.85223305\n",
            "0.9910676 0.8522284\n",
            "0.99128544 0.8521978\n",
            "0.9915033 0.8521821\n",
            "0.9917212 0.85214794\n",
            "0.99193907 0.8521138\n",
            "0.9921569 0.852087\n",
            "0.9923748 0.85207504\n",
            "0.99259263 0.85206676\n",
            "0.9928105 0.85202533\n",
            "0.9930284 0.85202813\n",
            "0.99324626 0.85203457\n",
            "0.9934641 0.85197854\n",
            "0.99368197 0.8519519\n",
            "0.9938998 0.8519327\n",
            "0.9941177 0.85194284\n",
            "0.9943356 0.851909\n",
            "0.99455345 0.85190445\n",
            "0.9947713 0.8518926\n",
            "0.99498916 0.8519101\n",
            "0.995207 0.85176265\n",
            "0.99542487 0.8517473\n",
            "0.9956428 0.85172087\n",
            "0.99586064 0.8517091\n",
            "0.9960785 0.8517157\n",
            "0.99629635 0.8517296\n",
            "0.9965142 0.8517434\n",
            "0.99673206 0.85174996\n",
            "0.99695 0.8517492\n",
            "0.9971678 0.85175574\n",
            "0.9973857 0.85171485\n",
            "0.99760354 0.85168856\n",
            "0.9978214 0.85167325\n",
            "0.99803925 0.8516871\n",
            "0.99825716 0.8517118\n",
            "0.998475 0.85171473\n",
            "0.99869287 0.85172486\n",
            "0.9989107 0.8516987\n",
            "0.9991286 0.8516579\n",
            "0.99934644 0.85167176\n",
            "0.99956435 0.85167104\n",
            "0.9997822 0.8516957\n",
            "1.0 0.7583333\n",
            "1.0002179 0.8208333\n",
            "1.0004358 0.8388889\n",
            "1.0006536 0.85\n",
            "1.0008715 0.845\n",
            "1.0010893 0.8513889\n",
            "1.0013072 0.85\n",
            "1.0015252 0.83958334\n",
            "1.001743 0.8388889\n",
            "1.0019609 0.83916664\n",
            "1.0021787 0.83787876\n",
            "1.0023966 0.83055556\n",
            "1.0026144 0.8269231\n",
            "1.0028323 0.82916665\n",
            "1.0030502 0.82944447\n",
            "1.003268 0.83177084\n",
            "1.0034859 0.8303922\n",
            "1.0037037 0.8300926\n",
            "1.0039216 0.82894737\n",
            "1.0041395 0.82958335\n",
            "1.0043573 0.8277778\n",
            "1.0045753 0.8272727\n",
            "1.004793 0.8282609\n",
            "1.005011 0.82430553\n",
            "1.0052288 0.8233333\n",
            "1.0054467 0.8230769\n",
            "1.0056646 0.82253087\n",
            "1.0058824 0.81964284\n",
            "1.0061003 0.82212645\n",
            "1.0063181 0.82416666\n",
            "1.006536 0.82446235\n",
            "1.0067539 0.8263021\n",
            "1.0069717 0.8255051\n",
            "1.0071896 0.8252451\n",
            "1.0074074 0.82238096\n",
            "1.0076253 0.82430553\n",
            "1.0078431 0.82072073\n",
            "1.008061 0.8225877\n",
            "1.008279 0.8241453\n",
            "1.0084968 0.82375\n",
            "1.0087147 0.8245935\n",
            "1.0089325 0.8251984\n",
            "1.0091504 0.8244186\n",
            "1.0093683 0.8225379\n",
            "1.0095861 0.82277775\n",
            "1.009804 0.8208333\n",
            "1.0100218 0.8184397\n",
            "1.0102397 0.8201389\n",
            "1.0104575 0.81734693\n",
            "1.0106754 0.8183333\n",
            "1.0108933 0.81879085\n",
            "1.0111111 0.81891024\n",
            "1.011329 0.81902516\n",
            "1.0115469 0.8205247\n",
            "1.0117648 0.8209091\n",
            "1.0119827 0.82127976\n",
            "1.0122005 0.8194444\n",
            "1.0124184 0.8189655\n",
            "1.0126362 0.8182203\n",
            "1.0128541 0.81819445\n",
            "1.0130719 0.81857926\n",
            "1.0132898 0.8185484\n",
            "1.0135077 0.819709\n",
            "1.0137255 0.81992185\n",
            "1.0139434 0.82089746\n",
            "1.0141612 0.82133836\n",
            "1.0143791 0.819403\n",
            "1.014597 0.8194853\n",
            "1.0148149 0.8194444\n",
            "1.0150328 0.8204762\n",
            "1.0152506 0.82112676\n",
            "1.0154685 0.8215278\n",
            "1.0156863 0.82157534\n",
            "1.0159042 0.82297295\n",
            "1.0161221 0.8241111\n",
            "1.0163399 0.82467103\n",
            "1.0165578 0.82478356\n",
            "1.0167756 0.8245726\n",
            "1.0169935 0.8251055\n",
            "1.0172114 0.8259375\n",
            "1.0174292 0.82674897\n",
            "1.0176471 0.8265244\n",
            "1.017865 0.82660645\n",
            "1.0180829 0.8252976\n",
            "1.0183007 0.8258824\n",
            "1.0185186 0.8250969\n",
            "1.0187365 0.825\n",
            "1.0189543 0.825947\n",
            "1.0191722 0.82649815\n",
            "1.01939 0.8267593\n",
            "1.0196079 0.82664835\n",
            "1.0198258 0.8264493\n",
            "1.0200436 0.8271505\n",
            "1.0202615 0.8261525\n",
            "1.0204793 0.8248246\n",
            "1.0206972 0.8255208\n",
            "1.020915 0.8258591\n",
            "1.021133 0.82534015\n",
            "1.0213509 0.8253367\n",
            "1.0215687 0.82608336\n",
            "1.0217866 0.8268152\n",
            "1.0220044 0.8269608\n",
            "1.0222223 0.8277508\n",
            "1.0224402 0.8282051\n",
            "1.022658 0.8288095\n",
            "1.0228759 0.8293239\n",
            "1.0230937 0.82920563\n",
            "1.0233116 0.8300926\n",
            "1.0235294 0.8303517\n",
            "1.0237473 0.8309091\n",
            "1.0239652 0.83093095\n",
            "1.024183 0.83125\n",
            "1.024401 0.83141595\n",
            "1.0246187 0.83194447\n",
            "1.0248367 0.8321739\n",
            "1.0250546 0.8323994\n",
            "1.0252724 0.83247864\n",
            "1.0254903 0.83248585\n",
            "1.0257081 0.8327731\n",
            "1.025926 0.83319443\n",
            "1.0261438 0.8333333\n",
            "1.0263617 0.8340164\n",
            "1.0265796 0.83387536\n",
            "1.0267974 0.8344758\n",
            "1.0270153 0.8347333\n",
            "1.0272331 0.83544976\n",
            "1.027451 0.83608925\n",
            "1.027669 0.83691406\n",
            "1.0278867 0.8370155\n",
            "1.0281047 0.8375\n",
            "1.0283225 0.8375318\n",
            "1.0285404 0.83800507\n",
            "1.0287582 0.8383459\n",
            "1.0289761 0.83886814\n",
            "1.029194 0.83944446\n",
            "1.0294118 0.83976716\n",
            "1.0296297 0.8402068\n",
            "1.0298475 0.84039855\n",
            "1.0300654 0.84064746\n",
            "1.0302833 0.8410714\n",
            "1.0305011 0.8413712\n",
            "1.030719 0.84172535\n",
            "1.0309368 0.84172493\n",
            "1.0311548 0.84155095\n",
            "1.0313725 0.842069\n",
            "1.0315905 0.8428653\n",
            "1.0318084 0.84302723\n",
            "1.0320262 0.843018\n",
            "1.0322441 0.8434564\n",
            "1.0324619 0.84305555\n",
            "1.0326798 0.84266007\n",
            "1.0328977 0.84248906\n",
            "1.0331155 0.8421569\n",
            "1.0333334 0.8410173\n",
            "1.0335512 0.84075266\n",
            "1.0337691 0.8403846\n",
            "1.0339869 0.8408174\n",
            "1.0342048 0.841192\n",
            "1.0344228 0.8412998\n",
            "1.0346406 0.8415104\n",
            "1.0348585 0.84166664\n",
            "1.0350763 0.84212965\n",
            "1.0352942 0.8417178\n",
            "1.0355121 0.84217477\n",
            "1.0357299 0.84267676\n",
            "1.0359478 0.8429217\n",
            "1.0361656 0.84316367\n",
            "1.0363835 0.84335315\n",
            "1.0366013 0.84368837\n",
            "1.0368192 0.8437255\n",
            "1.0370371 0.84410334\n",
            "1.0372549 0.8445252\n",
            "1.0374728 0.84489405\n",
            "1.0376906 0.84521073\n",
            "1.0379086 0.84514284\n",
            "1.0381265 0.8455019\n",
            "1.0383443 0.8454331\n",
            "1.0385622 0.84583336\n",
            "1.03878 0.8457635\n",
            "1.0389979 0.8458796\n",
            "1.0392157 0.8448895\n",
            "1.0394336 0.84500915\n",
            "1.0396515 0.8447177\n",
            "1.0398693 0.8445199\n",
            "1.0400872 0.8444595\n",
            "1.040305 0.84480286\n",
            "1.0405229 0.8449198\n",
            "1.0407408 0.84534574\n",
            "1.0409586 0.8451058\n",
            "1.0411766 0.8452632\n",
            "1.0413944 0.8454189\n",
            "1.0416123 0.8451389\n",
            "1.0418301 0.8453368\n",
            "1.042048 0.8452749\n",
            "1.0422659 0.84534186\n",
            "1.0424837 0.84557825\n",
            "1.0427016 0.84530455\n",
            "1.0429194 0.84465486\n",
            "1.0431373 0.8450168\n",
            "1.0433552 0.84491664\n",
            "1.043573 0.84427863\n",
            "1.0437909 0.8445545\n",
            "1.0440087 0.84392446\n",
            "1.0442266 0.84387255\n",
            "1.0444444 0.8442683\n",
            "1.0446624 0.8435275\n",
            "1.0448803 0.8431562\n",
            "1.0450981 0.8429087\n",
            "1.045316 0.8424242\n",
            "1.0455338 0.84257936\n",
            "1.0457517 0.8426935\n",
            "1.0459696 0.8428066\n",
            "1.0461874 0.8428404\n",
            "1.0464053 0.8424844\n",
            "1.0466231 0.8427132\n",
            "1.046841 0.84270835\n",
            "1.0470588 0.8424347\n",
            "1.0472767 0.842393\n",
            "1.0474946 0.8425038\n",
            "1.0477124 0.84238636\n",
            "1.0479304 0.84260935\n",
            "1.0481482 0.84264266\n",
            "1.0483661 0.842713\n",
            "1.048584 0.84270835\n",
            "1.0488018 0.8426296\n",
            "1.0490197 0.8426991\n",
            "1.0492375 0.8427313\n",
            "1.0494554 0.8428728\n",
            "1.0496732 0.8429767\n",
            "1.0498911 0.8432609\n",
            "1.050109 0.84325397\n",
            "1.0503268 0.8435704\n",
            "1.0505447 0.8435265\n",
            "1.0507625 0.84355414\n",
            "1.0509804 0.8438298\n",
            "1.0511984 0.8433263\n",
            "1.0514162 0.8426512\n",
            "1.0516341 0.84198177\n",
            "1.0518519 0.84232914\n",
            "1.0520698 0.84243053\n",
            "1.0522876 0.8422891\n",
            "1.0525055 0.84263086\n",
            "1.0527234 0.8425583\n",
            "1.0529412 0.8425888\n",
            "1.0531591 0.8427211\n",
            "1.0533769 0.8424458\n",
            "1.0535948 0.8415317\n",
            "1.0538127 0.8416331\n",
            "1.0540305 0.8417671\n",
            "1.0542485 0.8402\n",
            "1.0544662 0.84000665\n",
            "1.0546842 0.84011245\n",
            "1.054902 0.83988804\n",
            "1.0551199 0.83956695\n",
            "1.0553378 0.8393464\n",
            "1.0555556 0.83935547\n",
            "1.0557735 0.8393969\n",
            "1.0559913 0.8388889\n",
            "1.0562092 0.8382883\n",
            "1.0564271 0.83798075\n",
            "1.0566449 0.83793104\n",
            "1.0568628 0.83807254\n",
            "1.0570806 0.8380862\n",
            "1.0572985 0.83828914\n",
            "1.0575163 0.83845913\n",
            "1.0577343 0.8385338\n",
            "1.0579522 0.8386392\n",
            "1.05817 0.838806\n",
            "1.0583879 0.8388166\n",
            "1.0586057 0.8388889\n",
            "1.0588236 0.8390529\n",
            "1.0590415 0.8389706\n",
            "1.0592593 0.8392552\n",
            "1.0594772 0.839264\n",
            "1.059695 0.83942425\n",
            "1.0599129 0.8396437\n",
            "1.0601307 0.83959085\n",
            "1.0603486 0.8398981\n",
            "1.0605665 0.8399044\n",
            "1.0607843 0.84011906\n",
            "1.0610023 0.8403618\n",
            "1.06122 0.84045506\n",
            "1.061438 0.8405771\n",
            "1.0616559 0.84087443\n",
            "1.0618737 0.84105265\n",
            "1.0620916 0.8412296\n",
            "1.0623094 0.8414634\n",
            "1.0625273 0.8417245\n",
            "1.0627451 0.84189737\n",
            "1.062963 0.8422126\n",
            "1.0631809 0.8424971\n",
            "1.0633987 0.84232306\n",
            "1.0636166 0.8423777\n",
            "1.0638344 0.84246033\n",
            "1.0640523 0.84240115\n",
            "1.0642703 0.8423705\n",
            "1.064488 0.8426487\n",
            "1.064706 0.84261745\n",
            "1.0649238 0.84292084\n",
            "1.0651417 0.8430833\n",
            "1.0653595 0.84341085\n",
            "1.0655774 0.84343266\n",
            "1.0657953 0.8433718\n",
            "1.0660131 0.8435033\n",
            "1.066231 0.8434153\n",
            "1.0664488 0.84354573\n",
            "1.0666667 0.8436754\n",
            "1.0668846 0.8435065\n",
            "1.0671024 0.8436893\n",
            "1.0673203 0.84392476\n",
            "1.0675381 0.8440514\n",
            "1.067756 0.84420407\n",
            "1.0679739 0.84451544\n",
            "1.0681918 0.84463906\n",
            "1.0684097 0.8444974\n",
            "1.0686275 0.8448576\n",
            "1.0688454 0.844979\n",
            "1.0690632 0.8450734\n",
            "1.0692811 0.84524554\n",
            "1.069499 0.8453646\n",
            "1.0697168 0.8450675\n",
            "1.0699347 0.84531575\n",
            "1.0701525 0.84553665\n",
            "1.0703704 0.8457304\n",
            "1.0705882 0.84569234\n",
            "1.0708061 0.8459356\n",
            "1.0710241 0.8461009\n",
            "1.0712419 0.8461128\n",
            "1.0714598 0.84625125\n",
            "1.0716776 0.8465152\n",
            "1.0718955 0.8467271\n",
            "1.0721134 0.84698796\n",
            "1.0723312 0.846972\n",
            "1.0725491 0.8471557\n",
            "1.0727669 0.8472637\n",
            "1.0729848 0.84734625\n",
            "1.0732026 0.84747773\n",
            "1.0734205 0.84758383\n",
            "1.0736384 0.8476893\n",
            "1.0738562 0.84791666\n",
            "1.0740741 0.8479717\n",
            "1.074292 0.8482456\n",
            "1.0745099 0.84808064\n",
            "1.0747278 0.8483285\n",
            "1.0749456 0.84843\n",
            "1.0751635 0.84872353\n",
            "1.0753813 0.8488713\n",
            "1.0755992 0.8490661\n",
            "1.075817 0.84930754\n",
            "1.0760349 0.8494286\n",
            "1.0762528 0.8494302\n",
            "1.0764706 0.84950286\n",
            "1.0766885 0.8497403\n",
            "1.0769063 0.8497646\n",
            "1.0771242 0.8498592\n",
            "1.0773422 0.8497659\n",
            "1.07756 0.84997666\n",
            "1.0777779 0.8501164\n",
            "1.0779957 0.8499768\n",
            "1.0782136 0.850162\n",
            "1.0784314 0.8501154\n",
            "1.0786493 0.85018414\n",
            "1.0788672 0.85018367\n",
            "1.079085 0.85045785\n",
            "1.0793029 0.8505708\n",
            "1.0795207 0.85075134\n",
            "1.0797386 0.850772\n",
            "1.0799565 0.8509058\n",
            "1.0801743 0.85081303\n",
            "1.0803922 0.8509234\n",
            "1.08061 0.85085356\n",
            "1.080828 0.85087365\n",
            "1.0810457 0.8508937\n",
            "1.0812637 0.8508244\n",
            "1.0814816 0.85091114\n",
            "1.0816994 0.851086\n",
            "1.0819173 0.85117155\n",
            "1.0821351 0.85123456\n",
            "1.082353 0.85136324\n",
            "1.0825709 0.8515351\n",
            "1.0827887 0.85159665\n",
            "1.0830066 0.8517452\n",
            "1.0832244 0.85184944\n",
            "1.0834423 0.851888\n",
            "1.0836601 0.8518182\n",
            "1.083878 0.85205096\n",
            "1.084096 0.8522825\n",
            "1.0843138 0.8525129\n",
            "1.0845317 0.8526992\n",
            "1.0847495 0.8528846\n",
            "1.0849674 0.8529838\n",
            "1.0851853 0.85316753\n",
            "1.0854031 0.85324425\n",
            "1.085621 0.8533418\n",
            "1.0858388 0.8534388\n",
            "1.0860567 0.85364056\n",
            "1.0862745 0.8538203\n",
            "1.0864924 0.8539573\n",
            "1.0867103 0.8540309\n",
            "1.0869281 0.854\n",
            "1.087146 0.85417706\n",
            "1.0873638 0.8543947\n",
            "1.0875818 0.8545492\n",
            "1.0877997 0.8546411\n",
            "1.0880175 0.85479426\n",
            "1.0882354 0.8551108\n",
            "1.0884532 0.8553235\n",
            "1.0886711 0.85545343\n",
            "1.0888889 0.85564387\n",
            "1.0891068 0.8557927\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OpGp8Y-eiYIq",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "50a41ce7-38b7-4a9b-97a0-b881e5f7e570"
      },
      "source": [
        "for i in range(5000,10000):\n",
        "  print(lr[i],acc[i])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "1.0893247 0.54476887\n",
            "1.0895425 0.54453886\n",
            "1.0897604 0.54465294\n",
            "1.0899782 0.54458535\n",
            "1.0901961 0.54447794\n",
            "1.090414 0.544351\n",
            "1.0906318 0.5442246\n",
            "1.0908498 0.5439793\n",
            "1.0910676 0.54397374\n",
            "1.0912855 0.54418653\n",
            "1.0915033 0.5442003\n",
            "1.0917212 0.5440363\n",
            "1.0919391 0.5440701\n",
            "1.0921569 0.5438483\n",
            "1.0923748 0.5437059\n",
            "1.0925926 0.5436033\n",
            "1.0928105 0.5434231\n",
            "1.0930284 0.54332167\n",
            "1.0932462 0.5432401\n",
            "1.0934641 0.5431977\n",
            "1.0936819 0.54303944\n",
            "1.0938998 0.54288197\n",
            "1.0941176 0.54266745\n",
            "1.0943356 0.54279953\n",
            "1.0945535 0.54262453\n",
            "1.0947713 0.54250765\n",
            "1.0949892 0.5424485\n",
            "1.095207 0.5424087\n",
            "1.0954249 0.542407\n",
            "1.0956428 0.5425758\n",
            "1.0958606 0.54266816\n",
            "1.0960785 0.5426659\n",
            "1.0962963 0.5427013\n",
            "1.0965142 0.54264265\n",
            "1.096732 0.542397\n",
            "1.0969499 0.5425262\n",
            "1.0971678 0.542431\n",
            "1.0973856 0.5425595\n",
            "1.0976036 0.54240906\n",
            "1.0978214 0.54246294\n",
            "1.0980393 0.5424982\n",
            "1.0982572 0.542441\n",
            "1.098475 0.54225534\n",
            "1.0986929 0.54229075\n",
            "1.0989107 0.54214287\n",
            "1.0991286 0.5420687\n",
            "1.0993464 0.5421043\n",
            "1.0995643 0.5420852\n",
            "1.0997822 0.5420298\n",
            "1.1 0.5421377\n",
            "1.1002179 0.5419378\n",
            "1.1004357 0.54177487\n",
            "1.1006536 0.54181063\n",
            "1.1008716 0.54181033\n",
            "1.1010894 0.54200715\n",
            "1.1013073 0.5419349\n",
            "1.1015251 0.54180944\n",
            "1.101743 0.5419338\n",
            "1.1019608 0.5420576\n",
            "1.1021787 0.54212767\n",
            "1.1023966 0.5420382\n",
            "1.1026144 0.5420904\n",
            "1.1028323 0.54216\n",
            "1.1030501 0.5421414\n",
            "1.103268 0.54192984\n",
            "1.103486 0.54192924\n",
            "1.1037037 0.5418239\n",
            "1.1039217 0.54182357\n",
            "1.1041394 0.54192764\n",
            "1.1043574 0.5418229\n",
            "1.1045752 0.54177064\n",
            "1.1047931 0.54182225\n",
            "1.105011 0.5419255\n",
            "1.1052288 0.54177\n",
            "1.1054467 0.5417526\n",
            "1.1056645 0.54170096\n",
            "1.1058824 0.5416667\n",
            "1.1061003 0.5416496\n",
            "1.1063181 0.5415303\n",
            "1.106536 0.5414116\n",
            "1.1067538 0.54132724\n",
            "1.1069717 0.5413618\n",
            "1.1071895 0.5414131\n",
            "1.1074075 0.5414136\n",
            "1.1076254 0.54136366\n",
            "1.1078432 0.5414314\n",
            "1.1080611 0.54136485\n",
            "1.1082789 0.5412985\n",
            "1.1084968 0.54126585\n",
            "1.1087147 0.54118335\n",
            "1.1089325 0.5411843\n",
            "1.1091504 0.54128486\n",
            "1.1093682 0.5413685\n",
            "1.1095861 0.5413029\n",
            "1.1098039 0.5410891\n",
            "1.1100218 0.5411232\n",
            "1.1102397 0.54105854\n",
            "1.1104575 0.54087925\n",
            "1.1106755 0.54086447\n",
            "1.1108932 0.5408497\n",
            "1.1111112 0.5406719\n",
            "1.1113291 0.540446\n",
            "1.1115469 0.5404646\n",
            "1.1117648 0.54053175\n",
            "1.1119826 0.5405502\n",
            "1.1122005 0.5406008\n",
            "1.1124183 0.54055446\n",
            "1.1126362 0.54036355\n",
            "1.1128541 0.5403982\n",
            "1.1130719 0.54046476\n",
            "1.1132898 0.540579\n",
            "1.1135076 0.5404534\n",
            "1.1137255 0.5403442\n",
            "1.1139435 0.5404103\n",
            "1.1141613 0.54033333\n",
            "1.1143792 0.5405101\n",
            "1.114597 0.5405281\n",
            "1.1148149 0.54049873\n",
            "1.1150327 0.54056394\n",
            "1.1152506 0.5405975\n",
            "1.1154685 0.54045826\n",
            "1.1156863 0.5405232\n",
            "1.1159042 0.540369\n",
            "1.116122 0.54046506\n",
            "1.1163399 0.5406386\n",
            "1.1165578 0.54064053\n",
            "1.1167756 0.54072005\n",
            "1.1169935 0.54070634\n",
            "1.1172113 0.5406772\n",
            "1.1174293 0.5406636\n",
            "1.117647 0.5406038\n",
            "1.117865 0.5406673\n",
            "1.1180829 0.54080725\n",
            "1.1183007 0.540625\n",
            "1.1185186 0.5406422\n",
            "1.1187364 0.5406746\n",
            "1.1189543 0.54072213\n",
            "1.1191722 0.54081506\n",
            "1.11939 0.54081666\n",
            "1.1196079 0.54077274\n",
            "1.1198257 0.540608\n",
            "1.1200436 0.54048914\n",
            "1.1202614 0.54040086\n",
            "1.1204793 0.5404031\n",
            "1.1206973 0.54051054\n",
            "1.120915 0.5405276\n",
            "1.121133 0.5404997\n",
            "1.1213508 0.5404869\n",
            "1.1215687 0.5403846\n",
            "1.1217866 0.5403869\n",
            "1.1220044 0.5403892\n",
            "1.1222223 0.5404063\n",
            "1.1224401 0.5403049\n",
            "1.122658 0.5403812\n",
            "1.1228758 0.54035395\n",
            "1.1230937 0.54040045\n",
            "1.1233116 0.5403733\n",
            "1.1235294 0.5403609\n",
            "1.1237473 0.54050964\n",
            "1.1239651 0.54046786\n",
            "1.124183 0.54042614\n",
            "1.124401 0.5403992\n",
            "1.1246188 0.54031414\n",
            "1.1248367 0.540331\n",
            "1.1250545 0.54044926\n",
            "1.1252724 0.5404514\n",
            "1.1254902 0.54051125\n",
            "1.1257081 0.54041237\n",
            "1.125926 0.5404721\n",
            "1.1261438 0.5404885\n",
            "1.1263617 0.5406483\n",
            "1.1265795 0.5408362\n",
            "1.1267974 0.5408948\n",
            "1.1270154 0.5408105\n",
            "1.1272331 0.5409117\n",
            "1.1274511 0.54104096\n",
            "1.1276689 0.54104203\n",
            "1.1278868 0.54100055\n",
            "1.1281046 0.54098755\n",
            "1.1283225 0.5408475\n",
            "1.1285404 0.54093343\n",
            "1.1287582 0.5410614\n",
            "1.1289761 0.54095\n",
            "1.1291939 0.5410073\n",
            "1.1294118 0.5409524\n",
            "1.1296297 0.5408557\n",
            "1.1298475 0.5407454\n",
            "1.1300654 0.5407469\n",
            "1.1302832 0.5405954\n",
            "1.1305012 0.54044443\n",
            "1.130719 0.54050195\n",
            "1.1309369 0.5405454\n",
            "1.1311548 0.5405749\n",
            "1.1313726 0.5407147\n",
            "1.1315905 0.5407438\n",
            "1.1318083 0.5407041\n",
            "1.1320262 0.5406782\n",
            "1.1322441 0.5406661\n",
            "1.1324619 0.54065406\n",
            "1.1326798 0.5405465\n",
            "1.1328976 0.54045284\n",
            "1.1331155 0.54048204\n",
            "1.1333333 0.5404568\n",
            "1.1335512 0.54049945\n",
            "1.1337692 0.54050136\n",
            "1.133987 0.5404762\n",
            "1.1342049 0.54046464\n",
            "1.1344227 0.5404396\n",
            "1.1346406 0.54056275\n",
            "1.1348585 0.5406855\n",
            "1.1350763 0.5408481\n",
            "1.1352942 0.5408494\n",
            "1.135512 0.54095775\n",
            "1.1357299 0.5410123\n",
            "1.1359477 0.54096\n",
            "1.1361656 0.541041\n",
            "1.1363835 0.5409623\n",
            "1.1366013 0.54098994\n",
            "1.1368192 0.5409247\n",
            "1.137037 0.54085976\n",
            "1.137255 0.54107237\n",
            "1.1374729 0.5411788\n",
            "1.1376907 0.54127175\n",
            "1.1379086 0.5413512\n",
            "1.1381264 0.54132545\n",
            "1.1383443 0.541326\n",
            "1.1385621 0.54133964\n",
            "1.13878 0.5412356\n",
            "1.1389979 0.54121023\n",
            "1.1392157 0.54117185\n",
            "1.1394336 0.54121166\n",
            "1.1396514 0.5413162\n",
            "1.1398693 0.54139453\n",
            "1.1400872 0.54130435\n",
            "1.140305 0.54144704\n",
            "1.140523 0.5414216\n",
            "1.1407408 0.5414606\n",
            "1.1409587 0.5415252\n",
            "1.1411765 0.5414612\n",
            "1.1413944 0.54141027\n",
            "1.1416123 0.5415003\n",
            "1.1418301 0.54151326\n",
            "1.142048 0.54165393\n",
            "1.1422658 0.5418196\n",
            "1.1424837 0.54181933\n",
            "1.1427016 0.5418318\n",
            "1.1429194 0.54185694\n",
            "1.1431373 0.541806\n",
            "1.1433551 0.5417805\n",
            "1.143573 0.5416414\n",
            "1.1437908 0.54161626\n",
            "1.1440088 0.5416289\n",
            "1.1442267 0.541541\n",
            "1.1444445 0.5414157\n",
            "1.1446624 0.54145366\n",
            "1.1448802 0.54151654\n",
            "1.1450981 0.5414293\n",
            "1.145316 0.54142964\n",
            "1.1455338 0.5415795\n",
            "1.1457517 0.5415423\n",
            "1.1459695 0.54164183\n",
            "1.1461874 0.54181546\n",
            "1.1464052 0.5419515\n",
            "1.1466231 0.54204994\n",
            "1.146841 0.54223454\n",
            "1.1470588 0.5423077\n",
            "1.1472768 0.5422821\n",
            "1.1474946 0.54226893\n",
            "1.1477125 0.5422435\n",
            "1.1479304 0.5423039\n",
            "1.1481482 0.5421929\n",
            "1.1483661 0.54222876\n",
            "1.1485839 0.54224014\n",
            "1.1488018 0.54227585\n",
            "1.1490196 0.5422871\n",
            "1.1492375 0.54224974\n",
            "1.1494554 0.5424066\n",
            "1.1496732 0.5423207\n",
            "1.1498911 0.5423077\n",
            "1.1501089 0.5424879\n",
            "1.1503268 0.54253495\n",
            "1.1505448 0.5425096\n",
            "1.1507626 0.5425565\n",
            "1.1509805 0.5425552\n",
            "1.1511983 0.54255396\n",
            "1.1514162 0.5426604\n",
            "1.151634 0.54270685\n",
            "1.1518519 0.54282475\n",
            "1.1520698 0.5428469\n",
            "1.1522876 0.54288095\n",
            "1.1525055 0.5429506\n",
            "1.1527233 0.54305553\n",
            "1.1529412 0.5430773\n",
            "1.1531591 0.5431582\n",
            "1.1533769 0.5432033\n",
            "1.1535949 0.54323655\n",
            "1.1538126 0.5432815\n",
            "1.1540306 0.543444\n",
            "1.1542484 0.5434532\n",
            "1.1544663 0.5433685\n",
            "1.1546842 0.5433779\n",
            "1.154902 0.5433872\n",
            "1.1551199 0.54341984\n",
            "1.1553377 0.54348737\n",
            "1.1555556 0.54343826\n",
            "1.1557735 0.5435056\n",
            "1.1559913 0.5434333\n",
            "1.1562092 0.54348886\n",
            "1.156427 0.5435675\n",
            "1.1566449 0.5436921\n",
            "1.1568627 0.5436662\n",
            "1.1570807 0.54361725\n",
            "1.1572986 0.54364914\n",
            "1.1575164 0.54375\n",
            "1.1577343 0.54377013\n",
            "1.1579521 0.5438246\n",
            "1.15817 0.54378724\n",
            "1.1583879 0.5437729\n",
            "1.1586057 0.5438729\n",
            "1.1588236 0.54392695\n",
            "1.1590414 0.54409486\n",
            "1.1592593 0.54413706\n",
            "1.1594771 0.54414505\n",
            "1.159695 0.54419845\n",
            "1.159913 0.544195\n",
            "1.1601307 0.5442029\n",
            "1.1603487 0.54404116\n",
            "1.1605664 0.5441283\n",
            "1.1607844 0.5441475\n",
            "1.1610023 0.5439865\n",
            "1.1612201 0.54397213\n",
            "1.161438 0.5439353\n",
            "1.1616558 0.54401076\n",
            "1.1618737 0.5439964\n",
            "1.1620915 0.54394853\n",
            "1.1623094 0.5439455\n",
            "1.1625273 0.54398704\n",
            "1.1627451 0.5439394\n",
            "1.162963 0.5440031\n",
            "1.1631808 0.5440222\n",
            "1.1633987 0.5440746\n",
            "1.1636167 0.54412675\n",
            "1.1638345 0.54417884\n",
            "1.1640524 0.54420865\n",
            "1.1642702 0.54410595\n",
            "1.1644881 0.5440917\n",
            "1.1647059 0.5441876\n",
            "1.1649238 0.5442502\n",
            "1.1651417 0.5442578\n",
            "1.1653595 0.5441886\n",
            "1.1655774 0.5442729\n",
            "1.1657952 0.54413825\n",
            "1.1660131 0.54414594\n",
            "1.166231 0.5442299\n",
            "1.1664488 0.54425925\n",
            "1.1666667 0.54421234\n",
            "1.1668845 0.54416555\n",
            "1.1671025 0.5442166\n",
            "1.1673203 0.5442566\n",
            "1.1675382 0.54433984\n",
            "1.1677561 0.5443364\n",
            "1.1679739 0.5443329\n",
            "1.1681918 0.5442432\n",
            "1.1684096 0.5442399\n",
            "1.1686275 0.5442043\n",
            "1.1688454 0.5441581\n",
            "1.1690632 0.5441978\n",
            "1.1692811 0.54422665\n",
            "1.1694989 0.54425544\n",
            "1.1697168 0.5443269\n",
            "1.1699346 0.54437685\n",
            "1.1701525 0.5443627\n",
            "1.1703705 0.54436994\n",
            "1.1705883 0.5443346\n",
            "1.1708062 0.54429936\n",
            "1.171024 0.5444126\n",
            "1.1712419 0.54440916\n",
            "1.1714598 0.5444268\n",
            "1.1716776 0.54455006\n",
            "1.1718955 0.5445781\n",
            "1.1721133 0.5445744\n",
            "1.1723312 0.54454964\n",
            "1.172549 0.544525\n",
            "1.1727669 0.54443747\n",
            "1.1729848 0.5445073\n",
            "1.1732026 0.5444828\n",
            "1.1734205 0.54448974\n",
            "1.1736383 0.54453844\n",
            "1.1738563 0.5445661\n",
            "1.1740742 0.54459375\n",
            "1.174292 0.5446213\n",
            "1.1745099 0.5446384\n",
            "1.1747277 0.5446243\n",
            "1.1749456 0.54452735\n",
            "1.1751634 0.5445652\n",
            "1.1753813 0.54457194\n",
            "1.1755992 0.54460967\n",
            "1.175817 0.54461634\n",
            "1.1760349 0.5445818\n",
            "1.1762527 0.5445679\n",
            "1.1764706 0.5444924\n",
            "1.1766886 0.5444376\n",
            "1.1769063 0.5443419\n",
            "1.1771243 0.54442054\n",
            "1.177342 0.5445603\n",
            "1.17756 0.54463845\n",
            "1.1777778 0.5447164\n",
            "1.1779957 0.5447942\n",
            "1.1782136 0.54475987\n",
            "1.1784314 0.5447256\n",
            "1.1786493 0.5447625\n",
            "1.1788671 0.54468775\n",
            "1.179085 0.5445727\n",
            "1.1793029 0.54459953\n",
            "1.1795207 0.54452527\n",
            "1.1797386 0.5445823\n",
            "1.1799564 0.54455864\n",
            "1.1801744 0.54452497\n",
            "1.1803921 0.54451144\n",
            "1.1806101 0.5444076\n",
            "1.180828 0.54444444\n",
            "1.1810458 0.5444311\n",
            "1.1812637 0.5444778\n",
            "1.1814815 0.54455435\n",
            "1.1816994 0.54462075\n",
            "1.1819173 0.5447468\n",
            "1.1821351 0.544763\n",
            "1.182353 0.5448588\n",
            "1.1825708 0.544855\n",
            "1.1827887 0.54483134\n",
            "1.1830065 0.5447285\n",
            "1.1832244 0.5447249\n",
            "1.1834424 0.54470146\n",
            "1.1836601 0.54474723\n",
            "1.1838781 0.5448126\n",
            "1.1840959 0.5448089\n",
            "1.1843138 0.544815\n",
            "1.1845317 0.544831\n",
            "1.1847495 0.5447389\n",
            "1.1849674 0.54470587\n",
            "1.1851852 0.54465336\n",
            "1.1854031 0.5447183\n",
            "1.1856209 0.5447831\n",
            "1.1858388 0.54487705\n",
            "1.1860567 0.5448928\n",
            "1.1862745 0.54495716\n",
            "1.1864924 0.5449825\n",
            "1.1867102 0.54498833\n",
            "1.1869282 0.5450039\n",
            "1.1871461 0.545\n",
            "1.1873639 0.54499614\n",
            "1.1875818 0.5450019\n",
            "1.1877996 0.5450077\n",
            "1.1880175 0.5450328\n",
            "1.1882353 0.545\n",
            "1.1884532 0.54503465\n",
            "1.1886711 0.54504037\n",
            "1.1888889 0.5450077\n",
            "1.1891068 0.54497504\n",
            "1.1893246 0.5449808\n",
            "1.1895425 0.54509187\n",
            "1.1897604 0.5451453\n",
            "1.1899782 0.5452654\n",
            "1.1901962 0.5452899\n",
            "1.190414 0.54529524\n",
            "1.1906319 0.5453577\n",
            "1.1908497 0.54531544\n",
            "1.1910676 0.54531133\n",
            "1.1912855 0.54526925\n",
            "1.1915033 0.5453788\n",
            "1.1917212 0.5454219\n",
            "1.191939 0.54548377\n",
            "1.1921569 0.54556435\n",
            "1.1923748 0.54558825\n",
            "1.1925926 0.5456309\n",
            "1.1928105 0.545617\n",
            "1.1930283 0.5456407\n",
            "1.1932462 0.54557055\n",
            "1.193464 0.5455193\n",
            "1.193682 0.545618\n",
            "1.1938999 0.5456977\n",
            "1.1941177 0.5457025\n",
            "1.1943356 0.545726\n",
            "1.1945534 0.5457774\n",
            "1.1947713 0.54569834\n",
            "1.1949892 0.54561013\n",
            "1.195207 0.5456057\n",
            "1.1954249 0.54563844\n",
            "1.1956427 0.5456433\n",
            "1.1958606 0.54572225\n",
            "1.1960784 0.5457455\n",
            "1.1962963 0.5458149\n",
            "1.1965142 0.54583794\n",
            "1.196732 0.5458057\n",
            "1.19695 0.5457367\n",
            "1.1971678 0.54575974\n",
            "1.1973857 0.54570013\n",
            "1.1976036 0.54570484\n",
            "1.1978214 0.5458012\n",
            "1.1980393 0.5458059\n",
            "1.1982571 0.5458562\n",
            "1.198475 0.5459064\n",
            "1.1986928 0.5459292\n",
            "1.1989107 0.54595184\n",
            "1.1991286 0.54592896\n",
            "1.1993464 0.5459334\n",
            "1.1995643 0.54598325\n",
            "1.1997821 0.54590595\n",
            "1.2 0.54584694\n",
            "1.200218 0.54585147\n",
            "1.2004358 0.54581976\n",
            "1.2006537 0.54594177\n",
            "1.2008715 0.5459281\n",
            "1.2010894 0.54608583\n",
            "1.2013072 0.5461081\n",
            "1.2015251 0.5460763\n",
            "1.201743 0.54609853\n",
            "1.2019608 0.54613864\n",
            "1.2021787 0.54619664\n",
            "1.2023965 0.5462366\n",
            "1.2026144 0.5463033\n",
            "1.2028323 0.5462893\n",
            "1.2030501 0.54623973\n",
            "1.203268 0.5462081\n",
            "1.2034858 0.5462745\n",
            "1.2037038 0.5462696\n",
            "1.2039216 0.54630023\n",
            "1.2041395 0.54626864\n",
            "1.2043574 0.5462194\n",
            "1.2045752 0.5462323\n",
            "1.2047931 0.54631597\n",
            "1.2050109 0.5463376\n",
            "1.2052288 0.54640335\n",
            "1.2054467 0.54633653\n",
            "1.2056645 0.5462963\n",
            "1.2058824 0.54630023\n",
            "1.2061002 0.5462601\n",
            "1.2063181 0.5462201\n",
            "1.2065359 0.54620653\n",
            "1.2067538 0.5462719\n",
            "1.2069718 0.54623204\n",
            "1.2071896 0.54624474\n",
            "1.2074075 0.546205\n",
            "1.2076253 0.5462439\n",
            "1.2078432 0.5462827\n",
            "1.2080611 0.5462866\n",
            "1.2082789 0.5463166\n",
            "1.2084968 0.5462248\n",
            "1.2087146 0.5463156\n",
            "1.2089325 0.54640627\n",
            "1.2091503 0.5463753\n",
            "1.2093682 0.5463704\n",
            "1.2095861 0.5463915\n",
            "1.2098039 0.54637796\n",
            "1.2100219 0.5463644\n",
            "1.2102396 0.5463768\n",
            "1.2104576 0.54627717\n",
            "1.2106755 0.5461777\n",
            "1.2108933 0.54619884\n",
            "1.2111112 0.5462543\n",
            "1.211329 0.54624957\n",
            "1.2115469 0.54624486\n",
            "1.2117647 0.54619735\n",
            "1.2119826 0.546167\n",
            "1.2122005 0.54613674\n",
            "1.2124183 0.5461151\n",
            "1.2126362 0.5460338\n",
            "1.212854 0.54596114\n",
            "1.213072 0.5459057\n",
            "1.2132899 0.54589283\n",
            "1.2135077 0.5459225\n",
            "1.2137256 0.5459097\n",
            "1.2139434 0.54587996\n",
            "1.2141613 0.5458503\n",
            "1.2143791 0.5457445\n",
            "1.214597 0.5456728\n",
            "1.2148149 0.5456856\n",
            "1.2150327 0.5457068\n",
            "1.2152506 0.54571116\n",
            "1.2154684 0.5457323\n",
            "1.2156863 0.54565257\n",
            "1.2159042 0.5455981\n",
            "1.216122 0.5455354\n",
            "1.21634 0.5455315\n",
            "1.2165577 0.54539365\n",
            "1.2167757 0.5454401\n",
            "1.2169935 0.54546976\n",
            "1.2172114 0.54548264\n",
            "1.2174293 0.5455122\n",
            "1.2176471 0.54555\n",
            "1.217865 0.54553777\n",
            "1.2180828 0.54553396\n",
            "1.2183007 0.5454719\n",
            "1.2185186 0.5453851\n",
            "1.2187364 0.5453897\n",
            "1.2189543 0.54541916\n",
            "1.2191721 0.5453823\n",
            "1.21939 0.54547787\n",
            "1.2196078 0.54549056\n",
            "1.2198257 0.5454621\n",
            "1.2200437 0.54547477\n",
            "1.2202615 0.545504\n",
            "1.2204794 0.54553306\n",
            "1.2206972 0.5455704\n",
            "1.2209151 0.5455419\n",
            "1.221133 0.54548883\n",
            "1.2213508 0.5454195\n",
            "1.2215687 0.545334\n",
            "1.2217865 0.5452486\n",
            "1.2220044 0.54508984\n",
            "1.2222222 0.54501307\n",
            "1.2224401 0.54506683\n",
            "1.222658 0.5450472\n",
            "1.2228758 0.5450358\n",
            "1.2230937 0.54505694\n",
            "1.2233115 0.545013\n",
            "1.2235295 0.54490423\n",
            "1.2237474 0.5447876\n",
            "1.2239652 0.5446955\n",
            "1.2241831 0.54467636\n",
            "1.2244009 0.5445846\n",
            "1.2246188 0.5445252\n",
            "1.2248366 0.5445063\n",
            "1.2250545 0.5444633\n",
            "1.2252724 0.5443478\n",
            "1.2254902 0.54425675\n",
            "1.2257081 0.5441498\n",
            "1.2259259 0.54405105\n",
            "1.2261438 0.54399264\n",
            "1.2263618 0.54394233\n",
            "1.2265795 0.54395616\n",
            "1.2267975 0.54392195\n",
            "1.2270153 0.5439198\n",
            "1.2272332 0.54377395\n",
            "1.227451 0.54371613\n",
            "1.2276689 0.5437221\n",
            "1.2278868 0.5436963\n",
            "1.2281046 0.5437023\n",
            "1.2283225 0.5437401\n",
            "1.2285403 0.54369843\n",
            "1.2287582 0.5436568\n",
            "1.2289761 0.5435995\n",
            "1.2291939 0.54353434\n",
            "1.2294118 0.54350096\n",
            "1.2296296 0.54346764\n",
            "1.2298476 0.54342645\n",
            "1.2300653 0.543409\n",
            "1.2302833 0.5433601\n",
            "1.2305012 0.54339\n",
            "1.230719 0.5433805\n",
            "1.2309369 0.543371\n",
            "1.2311547 0.54335374\n",
            "1.2313726 0.5433757\n",
            "1.2315905 0.5434132\n",
            "1.2318083 0.54339594\n",
            "1.2320262 0.5433552\n",
            "1.232244 0.5433927\n",
            "1.2324619 0.5434145\n",
            "1.2326797 0.54344404\n",
            "1.2328976 0.5434112\n",
            "1.2331156 0.5434174\n",
            "1.2333333 0.5434313\n",
            "1.2335513 0.54339856\n",
            "1.233769 0.5433504\n",
            "1.233987 0.54333335\n",
            "1.2342049 0.543386\n",
            "1.2344227 0.54335344\n",
            "1.2346406 0.5433055\n",
            "1.2348584 0.5433194\n",
            "1.2350763 0.54327935\n",
            "1.2352941 0.54316217\n",
            "1.235512 0.5430915\n",
            "1.2357299 0.54299784\n",
            "1.2359477 0.5430427\n",
            "1.2361656 0.54305685\n",
            "1.2363834 0.54299414\n",
            "1.2366014 0.5430236\n",
            "1.2368193 0.54304534\n",
            "1.2370371 0.5429905\n",
            "1.237255 0.54286695\n",
            "1.2374728 0.54289645\n",
            "1.2376907 0.5428342\n",
            "1.2379085 0.5428484\n",
            "1.2381264 0.5428397\n",
            "1.2383443 0.54282343\n",
            "1.2385621 0.5427159\n",
            "1.23878 0.542753\n",
            "1.2389978 0.542714\n",
            "1.2392157 0.5426979\n",
            "1.2394336 0.54267424\n",
            "1.2396514 0.54262036\n",
            "1.2398694 0.54252875\n",
            "1.2400872 0.5424448\n",
            "1.2403051 0.54244417\n",
            "1.2405229 0.5424887\n",
            "1.2407408 0.5424729\n",
            "1.2409587 0.5424345\n",
            "1.2411765 0.5424489\n",
            "1.2413944 0.54243314\n",
            "1.2416122 0.5424099\n",
            "1.2418301 0.5423867\n",
            "1.242048 0.54232615\n",
            "1.2422658 0.54221326\n",
            "1.2424837 0.5422352\n",
            "1.2427015 0.5421973\n",
            "1.2429194 0.5421819\n",
            "1.2431372 0.5420919\n",
            "1.2433552 0.54200953\n",
            "1.2435731 0.541972\n",
            "1.2437909 0.5418973\n",
            "1.2440088 0.5418599\n",
            "1.2442266 0.5417929\n",
            "1.2444445 0.54180026\n",
            "1.2446624 0.5417853\n",
            "1.2448802 0.5417778\n",
            "1.2450981 0.5416667\n",
            "1.2453159 0.5415927\n",
            "1.2455338 0.5415632\n",
            "1.2457516 0.54154855\n",
            "1.2459695 0.54150444\n",
            "1.2461874 0.5414235\n",
            "1.2464052 0.5413501\n",
            "1.2466232 0.54129153\n",
            "1.246841 0.54126984\n",
            "1.2470589 0.54122615\n",
            "1.2472768 0.5412045\n",
            "1.2474946 0.5412196\n",
            "1.2477125 0.54124194\n",
            "1.2479303 0.54120576\n",
            "1.2481482 0.54111844\n",
            "1.248366 0.5410824\n",
            "1.2485839 0.54103184\n",
            "1.2488018 0.5410324\n",
            "1.2490196 0.54102564\n",
            "1.2492375 0.5410262\n",
            "1.2494553 0.5409686\n",
            "1.2496732 0.5409401\n",
            "1.2498912 0.54089\n",
            "1.250109 0.54089063\n",
            "1.2503269 0.5408841\n",
            "1.2505447 0.5408413\n",
            "1.2507626 0.5407914\n",
            "1.2509804 0.5407849\n",
            "1.2511983 0.54076403\n",
            "1.2514162 0.54069984\n",
            "1.251634 0.54067904\n",
            "1.2518519 0.5405791\n",
            "1.2520697 0.54055125\n",
            "1.2522876 0.54051626\n",
            "1.2525055 0.54060346\n",
            "1.2527233 0.54066896\n",
            "1.2529413 0.540677\n",
            "1.253159 0.5406563\n",
            "1.253377 0.54063576\n",
            "1.2535948 0.5405436\n",
            "1.2538127 0.54048026\n",
            "1.2540306 0.5404527\n",
            "1.2542484 0.54040384\n",
            "1.2544663 0.54041916\n",
            "1.2546841 0.540463\n",
            "1.254902 0.54053515\n",
            "1.2551199 0.5405219\n",
            "1.2553377 0.5404589\n",
            "1.2555556 0.5404742\n",
            "1.2557734 0.54042554\n",
            "1.2559913 0.54036987\n",
            "1.2562091 0.5402719\n",
            "1.256427 0.540174\n",
            "1.256645 0.5401258\n",
            "1.2568628 0.54010594\n",
            "1.2570807 0.5400367\n",
            "1.2572985 0.5400592\n",
            "1.2575164 0.5400465\n",
            "1.2577343 0.5399775\n",
            "1.2579521 0.5399156\n",
            "1.25817 0.5398749\n",
            "1.2583878 0.5398133\n",
            "1.2586057 0.53970957\n",
            "1.2588235 0.5396692\n",
            "1.2590414 0.5396849\n",
            "1.2592593 0.53968656\n",
            "1.2594771 0.5396812\n",
            "1.259695 0.5396969\n",
            "1.2599128 0.53967756\n",
            "1.2601308 0.5396374\n",
            "1.2603487 0.5395485\n",
            "1.2605665 0.5394946\n",
            "1.2607844 0.5395659\n",
            "1.2610022 0.5396094\n",
            "1.2612201 0.5396111\n",
            "1.2614379 0.53959894\n",
            "1.2616558 0.5396631\n",
            "1.2618737 0.53964394\n",
            "1.2620915 0.5396941\n",
            "1.2623094 0.53958505\n",
            "1.2625272 0.5395315\n",
            "1.2627451 0.53949183\n",
            "1.262963 0.53947294\n",
            "1.2631809 0.53941965\n",
            "1.2633988 0.5393595\n",
            "1.2636166 0.5392926\n",
            "1.2638345 0.53934956\n",
            "1.2640523 0.5393583\n",
            "1.2642702 0.53933966\n",
            "1.2644881 0.53932786\n",
            "1.2647059 0.53939146\n",
            "1.2649238 0.53938645\n",
            "1.2651416 0.53934044\n",
            "1.2653595 0.5392945\n",
            "1.2655774 0.53924865\n",
            "1.2657952 0.539196\n",
            "1.2660131 0.53923213\n",
            "1.266231 0.5392614\n",
            "1.2664489 0.53927016\n",
            "1.2666667 0.5392585\n",
            "1.2668846 0.53927404\n",
            "1.2671025 0.5392081\n",
            "1.2673203 0.53914905\n",
            "1.2675382 0.53911036\n",
            "1.267756 0.5390854\n",
            "1.2679739 0.5390536\n",
            "1.2681918 0.5390625\n",
            "1.2684096 0.53905785\n",
            "1.2686275 0.5390532\n",
            "1.2688453 0.53908235\n",
            "1.2690632 0.5391451\n",
            "1.269281 0.53913367\n",
            "1.269499 0.53912896\n",
            "1.2697169 0.5391243\n",
            "1.2699347 0.5390793\n",
            "1.2701526 0.5390948\n",
            "1.2703704 0.53907007\n",
            "1.2705883 0.53911906\n",
            "1.2708062 0.539034\n",
            "1.271024 0.5389357\n",
            "1.2712419 0.53889114\n",
            "1.2714597 0.5388132\n",
            "1.2716776 0.53884214\n",
            "1.2718954 0.53883106\n",
            "1.2721133 0.5388\n",
            "1.2723312 0.5387823\n",
            "1.272549 0.5387513\n",
            "1.272767 0.5387536\n",
            "1.2729847 0.53872275\n",
            "1.2732027 0.53870517\n",
            "1.2734206 0.53865445\n",
            "1.2736384 0.53861046\n",
            "1.2738563 0.53851354\n",
            "1.2740741 0.53849614\n",
            "1.274292 0.53851193\n",
            "1.2745098 0.53854746\n",
            "1.2747277 0.53858954\n",
            "1.2749456 0.538592\n",
            "1.2751634 0.5386142\n",
            "1.2753813 0.53857046\n",
            "1.2755991 0.5385203\n",
            "1.275817 0.5384307\n",
            "1.276035 0.5383806\n",
            "1.2762527 0.5384161\n",
            "1.2764707 0.5384252\n",
            "1.2766885 0.5384212\n",
            "1.2769064 0.5383779\n",
            "1.2771242 0.5383281\n",
            "1.2773421 0.53828496\n",
            "1.27756 0.5382614\n",
            "1.2777778 0.53831637\n",
            "1.2779957 0.53833854\n",
            "1.2782135 0.53834116\n",
            "1.2784314 0.53832424\n",
            "1.2786493 0.5383073\n",
            "1.2788671 0.5383164\n",
            "1.279085 0.53833205\n",
            "1.2793028 0.5382892\n",
            "1.2795208 0.5382269\n",
            "1.2797385 0.53819066\n",
            "1.2799565 0.5381804\n",
            "1.2801744 0.5381961\n",
            "1.2803922 0.5381729\n",
            "1.2806101 0.53819495\n",
            "1.2808279 0.538146\n",
            "1.2810458 0.5380777\n",
            "1.2812637 0.5380289\n",
            "1.2814815 0.53803813\n",
            "1.2816994 0.53804094\n",
            "1.2819172 0.5381403\n",
            "1.2821351 0.5380723\n",
            "1.2823529 0.5381136\n",
            "1.2825708 0.5380842\n",
            "1.2827888 0.53805494\n",
            "1.2830065 0.53801924\n",
            "1.2832245 0.5379772\n",
            "1.2834423 0.53793526\n",
            "1.2836602 0.5379381\n",
            "1.2838781 0.5379729\n",
            "1.2840959 0.5379438\n",
            "1.2843138 0.53797215\n",
            "1.2845316 0.5379559\n",
            "1.2847495 0.537946\n",
            "1.2849673 0.53787243\n",
            "1.2851852 0.53783077\n",
            "1.2854031 0.5378083\n",
            "1.2856209 0.53777945\n",
            "1.2858388 0.5377888\n",
            "1.2860566 0.53777903\n",
            "1.2862746 0.5378454\n",
            "1.2864925 0.5378483\n",
            "1.2867103 0.5377816\n",
            "1.2869282 0.53776556\n",
            "1.287146 0.5376738\n",
            "1.2873639 0.53756946\n",
            "1.2875817 0.5375284\n",
            "1.2877996 0.53748107\n",
            "1.2880175 0.5374842\n",
            "1.2882353 0.53742445\n",
            "1.2884532 0.5374025\n",
            "1.288671 0.5373555\n",
            "1.2888889 0.53733987\n",
            "1.2891068 0.5373055\n",
            "1.2893246 0.53727114\n",
            "1.2895426 0.5372118\n",
            "1.2897604 0.53720886\n",
            "1.2899783 0.537256\n",
            "1.2901961 0.5372843\n",
            "1.290414 0.5372876\n",
            "1.2906319 0.5372409\n",
            "1.2908497 0.5371944\n",
            "1.2910676 0.5371977\n",
            "1.2912854 0.53711385\n",
            "1.2915033 0.5370177\n",
            "1.2917212 0.53702736\n",
            "1.291939 0.5369811\n",
            "1.2921569 0.53696597\n",
            "1.2923747 0.5369508\n",
            "1.2925926 0.53692955\n",
            "1.2928104 0.53687114\n",
            "1.2930284 0.5368066\n",
            "1.2932463 0.53674835\n",
            "1.2934641 0.53662837\n",
            "1.293682 0.5366197\n",
            "1.2938998 0.53661114\n",
            "1.2941177 0.53661484\n",
            "1.2943356 0.5366309\n",
            "1.2945534 0.53660387\n",
            "1.2947713 0.53660756\n",
            "1.2949891 0.5365744\n",
            "1.295207 0.53655976\n",
            "1.2954248 0.5365328\n",
            "1.2956427 0.5364752\n",
            "1.2958606 0.53647906\n",
            "1.2960784 0.53648895\n",
            "1.2962964 0.536554\n",
            "1.2965142 0.5365088\n",
            "1.2967321 0.5365187\n",
            "1.29695 0.5364675\n",
            "1.2971678 0.5364286\n",
            "1.2973857 0.5363165\n",
            "1.2976035 0.5362595\n",
            "1.2978214 0.53621465\n",
            "1.2980392 0.53623694\n",
            "1.2982571 0.5362591\n",
            "1.298475 0.5362813\n",
            "1.2986928 0.5362974\n",
            "1.2989107 0.53633165\n",
            "1.2991285 0.5363901\n",
            "1.2993464 0.5364424\n",
            "1.2995644 0.5364523\n",
            "1.2997822 0.53641975\n",
            "1.3000001 0.5364538\n",
            "1.3002179 0.53640926\n",
            "1.3004358 0.536413\n",
            "1.3006536 0.53639877\n",
            "1.3008715 0.5364086\n",
            "1.3010894 0.5364124\n",
            "1.3013072 0.5364282\n",
            "1.3015251 0.53643805\n",
            "1.3017429 0.53642374\n",
            "1.3019608 0.5364155\n",
            "1.3021787 0.5364253\n",
            "1.3023965 0.53638107\n",
            "1.3026145 0.53633094\n",
            "1.3028322 0.5362809\n",
            "1.3030502 0.53625476\n",
            "1.303268 0.53624076\n",
            "1.3034859 0.5362267\n",
            "1.3037038 0.5362366\n",
            "1.3039216 0.53622854\n",
            "1.3041395 0.53615487\n",
            "1.3043573 0.5361409\n",
            "1.3045752 0.536127\n",
            "1.3047931 0.53608334\n",
            "1.3050109 0.53605163\n",
            "1.3052288 0.53602\n",
            "1.3054466 0.5359943\n",
            "1.3056645 0.53596866\n",
            "1.3058823 0.53599054\n",
            "1.3061002 0.5359412\n",
            "1.3063182 0.5358742\n",
            "1.306536 0.5359197\n",
            "1.3067539 0.5359534\n",
            "1.3069717 0.53597516\n",
            "1.3071896 0.5359556\n",
            "1.3074075 0.5359537\n",
            "1.3076253 0.53595775\n",
            "1.3078432 0.5359795\n",
            "1.308061 0.5359305\n",
            "1.3082789 0.5358875\n",
            "1.3084967 0.5358386\n",
            "1.3087146 0.5358427\n",
            "1.3089325 0.5358175\n",
            "1.3091503 0.53579813\n",
            "1.3093683 0.5357964\n",
            "1.309586 0.53578293\n",
            "1.309804 0.5357461\n",
            "1.3100219 0.5357151\n",
            "1.3102397 0.53571343\n",
            "1.3104576 0.5357059\n",
            "1.3106754 0.53571594\n",
            "1.3108933 0.5357201\n",
            "1.3111111 0.53570676\n",
            "1.311329 0.5356876\n",
            "1.3115469 0.53562194\n",
            "1.3117647 0.5356494\n",
            "1.3119826 0.53562456\n",
            "1.3122004 0.53562295\n",
            "1.3124183 0.53563297\n",
            "1.3126363 0.5356372\n",
            "1.312854 0.5355718\n",
            "1.313072 0.53554124\n",
            "1.3132898 0.53553975\n",
            "1.3135077 0.53555554\n",
            "1.3137255 0.5355771\n",
            "1.3139434 0.5356334\n",
            "1.3141613 0.5356607\n",
            "1.3143791 0.53568214\n",
            "1.314597 0.53569204\n",
            "1.3148148 0.5356212\n",
            "1.3150327 0.5355966\n",
            "1.3152506 0.53558934\n",
            "1.3154684 0.5355878\n",
            "1.3156863 0.5355977\n",
            "1.3159041 0.5356536\n",
            "1.316122 0.5356577\n",
            "1.3163399 0.53567904\n",
            "1.3165578 0.5357061\n",
            "1.3167757 0.53568727\n",
            "1.3169935 0.53571427\n",
            "1.3172114 0.53575844\n",
            "1.3174292 0.53572816\n",
            "1.3176471 0.53570366\n",
            "1.317865 0.5356963\n",
            "1.3180828 0.5356491\n",
            "1.3183007 0.53560764\n",
            "1.3185185 0.535589\n",
            "1.3187364 0.53558177\n",
            "1.3189542 0.5355404\n",
            "1.3191721 0.53558433\n",
            "1.31939 0.5356226\n",
            "1.3196079 0.53562105\n",
            "1.3198258 0.5356308\n",
            "1.3200436 0.53563493\n",
            "1.3202615 0.535622\n",
            "1.3204794 0.53555256\n",
            "1.3206972 0.535568\n",
            "1.3209151 0.5355326\n",
            "1.3211329 0.5354576\n",
            "1.3213508 0.53543925\n",
            "1.3215686 0.5354717\n",
            "1.3217865 0.53547025\n",
            "1.3220044 0.53549135\n",
            "1.3222222 0.53545606\n",
            "1.3224401 0.5354265\n",
            "1.322658 0.535442\n",
            "1.3228759 0.5354293\n",
            "1.3230938 0.5353661\n",
            "1.3233116 0.5353311\n",
            "1.3235295 0.53538024\n",
            "1.3237473 0.5353844\n",
            "1.3239652 0.5353495\n",
            "1.324183 0.5353481\n",
            "1.3244009 0.5353915\n",
            "1.3246188 0.53539014\n",
            "1.3248366 0.53537196\n",
            "1.3250545 0.5353539\n",
            "1.3252723 0.53530234\n",
            "1.3254902 0.535262\n",
            "1.3257082 0.5352941\n",
            "1.325926 0.5353318\n",
            "1.3261439 0.5353304\n",
            "1.3263617 0.5353458\n",
            "1.3265796 0.5353278\n",
            "1.3267974 0.535382\n",
            "1.3270153 0.5353695\n",
            "1.3272332 0.5353349\n",
            "1.327451 0.5353668\n",
            "1.3276689 0.5353433\n",
            "1.3278867 0.53535855\n",
            "1.3281046 0.53540146\n",
            "1.3283225 0.53543323\n",
            "1.3285403 0.5354539\n",
            "1.3287582 0.5355132\n",
            "1.328976 0.5355669\n",
            "1.329194 0.53559303\n",
            "1.3294117 0.53564113\n",
            "1.3296297 0.5356396\n",
            "1.3298476 0.53563255\n",
            "1.3300654 0.53559804\n",
            "1.3302833 0.5355801\n",
            "1.3305011 0.5355841\n",
            "1.330719 0.5356101\n",
            "1.3309369 0.53560305\n",
            "1.3311547 0.5355961\n",
            "1.3313726 0.53561103\n",
            "1.3315904 0.5356314\n",
            "1.3318083 0.53560257\n",
            "1.3320261 0.5355628\n",
            "1.332244 0.5355341\n",
            "1.332462 0.5354999\n",
            "1.3326797 0.53551483\n",
            "1.3328977 0.53557336\n",
            "1.3331155 0.53558826\n",
            "1.3333334 0.53561944\n",
            "1.3335513 0.53569955\n",
            "1.3337691 0.5357469\n",
            "1.333987 0.5357888\n",
            "1.3342048 0.5357981\n",
            "1.3344227 0.53581816\n",
            "1.3346405 0.535822\n",
            "1.3348584 0.5358637\n",
            "1.3350763 0.5358187\n",
            "1.3352941 0.5358171\n",
            "1.335512 0.53575057\n",
            "1.3357298 0.5357598\n",
            "1.3359478 0.53575283\n",
            "1.3361657 0.5357567\n",
            "1.3363835 0.5358037\n",
            "1.3366014 0.53580207\n",
            "1.3368192 0.53580046\n",
            "1.3370371 0.535815\n",
            "1.3372549 0.5357758\n",
            "1.3374728 0.5357742\n",
            "1.3376907 0.5357887\n",
            "1.3379085 0.53577644\n",
            "1.3381264 0.5357909\n",
            "1.3383442 0.5357518\n",
            "1.3385621 0.53580385\n",
            "1.33878 0.535813\n",
            "1.3389978 0.53582746\n",
            "1.3392158 0.5358312\n",
            "1.3394336 0.5358296\n",
            "1.3396515 0.5358173\n",
            "1.3398693 0.5358264\n",
            "1.3400872 0.5358461\n",
            "1.3403051 0.5358445\n",
            "1.3405229 0.5358429\n",
            "1.3407408 0.535836\n",
            "1.3409586 0.5358716\n",
            "1.3411765 0.535886\n",
            "1.3413944 0.5358844\n",
            "1.3416122 0.5358615\n",
            "1.3418301 0.5358493\n",
            "1.3420479 0.53583705\n",
            "1.3422658 0.53583014\n",
            "1.3424836 0.53583384\n",
            "1.3427016 0.5358323\n",
            "1.3429195 0.53585184\n",
            "1.3431373 0.53580797\n",
            "1.3433552 0.5357694\n",
            "1.343573 0.5357784\n",
            "1.3437909 0.5357241\n",
            "1.3440088 0.53572786\n",
            "1.3442266 0.5357316\n",
            "1.3444445 0.5357775\n",
            "1.3446623 0.53579175\n",
            "1.3448802 0.5358165\n",
            "1.345098 0.5358465\n",
            "1.3453159 0.53585017\n",
            "1.3455338 0.535817\n",
            "1.3457516 0.535784\n",
            "1.3459696 0.5357772\n",
            "1.3461874 0.535739\n",
            "1.3464053 0.53567463\n",
            "1.3466232 0.53568363\n",
            "1.346841 0.535656\n",
            "1.3470589 0.5356702\n",
            "1.3472767 0.5357053\n",
            "1.3474946 0.53575605\n",
            "1.3477124 0.5357963\n",
            "1.3479303 0.53578955\n",
            "1.3481482 0.5357463\n",
            "1.348366 0.53571355\n",
            "1.3485839 0.5356704\n",
            "1.3488017 0.5356898\n",
            "1.3490196 0.5357351\n",
            "1.3492376 0.5357284\n",
            "1.3494554 0.5357321\n",
            "1.3496733 0.5357047\n",
            "1.3498911 0.53567725\n",
            "1.350109 0.5356447\n",
            "1.3503268 0.53555006\n",
            "1.3505447 0.53552794\n",
            "1.3507626 0.5355783\n",
            "1.3509804 0.53556144\n",
            "1.3511983 0.5355394\n",
            "1.3514161 0.5355535\n",
            "1.351634 0.5355676\n",
            "1.3518519 0.53550947\n",
            "1.3520697 0.5355288\n",
            "1.3522877 0.5355068\n",
            "1.3525054 0.5354746\n",
            "1.3527234 0.53548867\n",
            "1.3529412 0.5354925\n",
            "1.3531591 0.5355014\n",
            "1.353377 0.5355412\n",
            "1.3535948 0.5355398\n",
            "1.3538127 0.53554356\n",
            "1.3540305 0.5355474\n",
            "1.3542484 0.5355409\n",
            "1.3544663 0.53551906\n",
            "1.3546841 0.53553814\n",
            "1.354902 0.5355726\n",
            "1.3551198 0.53558654\n",
            "1.3553377 0.53558004\n",
            "1.3555555 0.5356042\n",
            "1.3557734 0.5355671\n",
            "1.3559914 0.5355759\n",
            "1.3562092 0.5355185\n",
            "1.3564271 0.53549683\n",
            "1.3566449 0.5355057\n",
            "1.3568628 0.53546876\n",
            "1.3570807 0.5354472\n",
            "1.3572985 0.53543574\n",
            "1.3575164 0.5354141\n",
            "1.3577342 0.53541285\n",
            "1.3579521 0.5353254\n",
            "1.3581699 0.5352634\n",
            "1.3583878 0.5352825\n",
            "1.3586057 0.53527623\n",
            "1.3588235 0.53527004\n",
            "1.3590415 0.53525877\n",
            "1.3592592 0.53526765\n",
            "1.3594772 0.53524125\n",
            "1.3596951 0.5352199\n",
            "1.3599129 0.5351785\n",
            "1.3601308 0.535132\n",
            "1.3603486 0.53512585\n",
            "1.3605665 0.5351147\n",
            "1.3607843 0.5351187\n",
            "1.3610022 0.5350824\n",
            "1.3612201 0.5351115\n",
            "1.3614379 0.5350803\n",
            "1.3616558 0.53504914\n",
            "1.3618736 0.5350481\n",
            "1.3620915 0.5350271\n",
            "1.3623095 0.53498596\n",
            "1.3625273 0.534995\n",
            "1.3627452 0.53496397\n",
            "1.362963 0.534968\n",
            "1.3631809 0.53496206\n",
            "1.3633987 0.53497106\n",
            "1.3636166 0.5349401\n",
            "1.3638345 0.5349242\n",
            "1.3640523 0.53489333\n",
            "1.3642702 0.53491235\n",
            "1.364488 0.53489643\n",
            "1.3647059 0.53491545\n",
            "1.3649238 0.5349095\n",
            "1.3651416 0.53486884\n",
            "1.3653595 0.53486294\n",
            "1.3655773 0.5348273\n",
            "1.3657953 0.53481644\n",
            "1.366013 0.53480566\n",
            "1.366231 0.53474534\n",
            "1.3664489 0.53472966\n",
            "1.3666667 0.53477335\n",
            "1.3668846 0.5347478\n",
            "1.3671024 0.5347618\n",
            "1.3673203 0.53480536\n",
            "1.3675382 0.5347551\n",
            "1.367756 0.5347296\n",
            "1.3679739 0.5346992\n",
            "1.3681917 0.53470826\n",
            "1.3684096 0.53474194\n",
            "1.3686274 0.5347706\n",
            "1.3688453 0.5347796\n",
            "1.3690633 0.5347886\n",
            "1.369281 0.53479755\n",
            "1.369499 0.5347329\n",
            "1.3697168 0.53469276\n",
            "1.3699347 0.534692\n",
            "1.3701526 0.5347304\n",
            "1.3703704 0.5347394\n",
            "1.3705883 0.53471893\n",
            "1.3708061 0.5347377\n",
            "1.371024 0.53474665\n",
            "1.3712418 0.5347459\n",
            "1.3714597 0.5346864\n",
            "1.3716776 0.5346954\n",
            "1.3718954 0.5347287\n",
            "1.3721133 0.5347474\n",
            "1.3723311 0.5347417\n",
            "1.372549 0.53474087\n",
            "1.372767 0.5347498\n",
            "1.3729848 0.53472465\n",
            "1.3732027 0.5346898\n",
            "1.3734205 0.53467447\n",
            "1.3736384 0.5346348\n",
            "1.3738562 0.5346389\n",
            "1.3740741 0.53461874\n",
            "1.374292 0.5346762\n",
            "1.3745098 0.5346899\n",
            "1.3747277 0.5347085\n",
            "1.3749455 0.5347222\n",
            "1.3751634 0.53472143\n",
            "1.3753814 0.5347254\n",
            "1.3755991 0.5347343\n",
            "1.3758171 0.53474796\n",
            "1.3760349 0.53472304\n",
            "1.3762528 0.5347174\n",
            "1.3764706 0.53472626\n",
            "1.3766885 0.5347206\n",
            "1.3769064 0.5347198\n",
            "1.3771242 0.5346757\n",
            "1.3773421 0.5346557\n",
            "1.3775599 0.53465974\n",
            "1.3777778 0.53460616\n",
            "1.3779957 0.53461504\n",
            "1.3782135 0.5345567\n",
            "1.3784314 0.5345608\n",
            "1.3786492 0.5345505\n",
            "1.3788671 0.53455937\n",
            "1.379085 0.534573\n",
            "1.3793029 0.53459144\n",
            "1.3795208 0.5345812\n",
            "1.3797386 0.53459\n",
            "1.3799565 0.53460366\n",
            "1.3801743 0.53460765\n",
            "1.3803922 0.5346117\n",
            "1.3806101 0.5346396\n",
            "1.3808279 0.53466266\n",
            "1.3810458 0.53470474\n",
            "1.3812636 0.5346897\n",
            "1.3814815 0.5347032\n",
            "1.3816993 0.5347072\n",
            "1.3819172 0.5346636\n",
            "1.3821352 0.53462964\n",
            "1.382353 0.53460515\n",
            "1.3825709 0.5345902\n",
            "1.3827887 0.53456104\n",
            "1.3830066 0.53454614\n",
            "1.3832245 0.5345502\n",
            "1.3834423 0.53457314\n",
            "1.3836602 0.53462446\n",
            "1.383878 0.5346474\n",
            "1.3840959 0.5346419\n",
            "1.3843137 0.5346742\n",
            "1.3845316 0.53469706\n",
            "1.3847495 0.5347104\n",
            "1.3849673 0.53471434\n",
            "1.3851852 0.5347183\n",
            "1.385403 0.5346657\n",
            "1.385621 0.5346979\n",
            "1.3858389 0.53468776\n",
            "1.3860567 0.53470576\n",
            "1.3862746 0.5347097\n",
            "1.3864924 0.534723\n",
            "1.3867103 0.5346941\n",
            "1.3869281 0.534698\n",
            "1.387146 0.53468317\n",
            "1.3873639 0.5346683\n",
            "1.3875817 0.5346629\n",
            "1.3877996 0.5346528\n",
            "1.3880174 0.53463805\n",
            "1.3882353 0.5346747\n",
            "1.3884532 0.5346739\n",
            "1.388671 0.53465456\n",
            "1.388889 0.5346911\n",
            "1.3891068 0.5346764\n",
            "1.3893247 0.5346523\n",
            "1.3895425 0.5346003\n",
            "1.3897604 0.5346136\n",
            "1.3899783 0.53461754\n",
            "1.3901961 0.5346354\n",
            "1.390414 0.53461146\n",
            "1.3906318 0.5346247\n",
            "1.3908497 0.5346054\n",
            "1.3910676 0.5345815\n",
            "1.3912854 0.5345715\n",
            "1.3915033 0.5346079\n",
            "1.3917211 0.5346072\n",
            "1.391939 0.5346574\n",
            "1.3921568 0.5347122\n",
            "1.3923748 0.53472996\n",
            "1.3925927 0.5347153\n",
            "1.3928105 0.53469604\n",
            "1.3930284 0.5346907\n",
            "1.3932462 0.53473145\n",
            "1.3934641 0.5347307\n",
            "1.393682 0.5347668\n",
            "1.3938998 0.5347798\n",
            "1.3941177 0.534802\n",
            "1.3943355 0.5348104\n",
            "1.3945534 0.53479123\n",
            "1.3947712 0.5347904\n",
            "1.3949891 0.5347942\n",
            "1.395207 0.53480715\n",
            "1.3954248 0.534788\n",
            "1.3956428 0.5347872\n",
            "1.3958606 0.5348139\n",
            "1.3960785 0.534836\n",
            "1.3962964 0.53483516\n",
            "1.3965142 0.5348023\n",
            "1.3967321 0.5348061\n",
            "1.3969499 0.5348327\n",
            "1.3971678 0.5347999\n",
            "1.3973856 0.53476256\n",
            "1.3976035 0.5348074\n",
            "1.3978214 0.5348157\n",
            "1.3980392 0.5348605\n",
            "1.3982571 0.53487337\n",
            "1.3984749 0.5348315\n",
            "1.3986928 0.53482157\n",
            "1.3989108 0.53480715\n",
            "1.3991286 0.5347791\n",
            "1.3993465 0.5347964\n",
            "1.3995643 0.5347593\n",
            "1.3997822 0.5347449\n",
            "1.4 0.5347487\n",
            "1.4002179 0.5347479\n",
            "1.4004358 0.534729\n",
            "1.4006536 0.53469205\n",
            "1.4008715 0.5346415\n",
            "1.4010893 0.5345458\n",
            "1.4013072 0.5344547\n",
            "1.4015251 0.53442246\n",
            "1.4017429 0.5343993\n",
            "1.4019608 0.5343716\n",
            "1.4021786 0.534362\n",
            "1.4023966 0.5343344\n",
            "1.4026144 0.53425723\n",
            "1.4028323 0.53416216\n",
            "1.4030502 0.5340897\n",
            "1.403268 0.5340578\n",
            "1.4034859 0.53398544\n",
            "1.4037037 0.53394014\n",
            "1.4039216 0.5339263\n",
            "1.4041395 0.5338721\n",
            "1.4043573 0.53382695\n",
            "1.4045752 0.533728\n",
            "1.404793 0.5337054\n",
            "1.4050109 0.533638\n",
            "1.4052287 0.5335214\n",
            "1.4054466 0.53345865\n",
            "1.4056646 0.533387\n",
            "1.4058824 0.533311\n",
            "1.4061003 0.5332484\n",
            "1.4063181 0.5331458\n",
            "1.406536 0.53307444\n",
            "1.4067539 0.5330166\n",
            "1.4069717 0.5329766\n",
            "1.4071896 0.5328832\n",
            "1.4074074 0.5328701\n",
            "1.4076253 0.532857\n",
            "1.4078431 0.5328528\n",
            "1.408061 0.53286195\n",
            "1.408279 0.5328578\n",
            "1.4084967 0.53284025\n",
            "1.4087147 0.53284055\n",
            "1.4089324 0.5327698\n",
            "1.4091504 0.53273904\n",
            "1.4093683 0.53269506\n",
            "1.4095861 0.53267765\n",
            "1.409804 0.5326337\n",
            "1.4100218 0.5326518\n",
            "1.4102397 0.5326256\n",
            "1.4104575 0.53259945\n",
            "1.4106754 0.53257775\n",
            "1.4108933 0.53249866\n",
            "1.4111111 0.53245497\n",
            "1.411329 0.53242016\n",
            "1.4115468 0.53242505\n",
            "1.4117647 0.53242993\n",
            "1.4119827 0.5324612\n",
            "1.4122005 0.5324573\n",
            "1.4124184 0.5324182\n",
            "1.4126362 0.53239226\n",
            "1.4128541 0.5323224\n",
            "1.4130719 0.53228784\n",
            "1.4132898 0.5323191\n",
            "1.4135077 0.532267\n",
            "1.4137255 0.5322851\n",
            "1.4139434 0.5322637\n",
            "1.4141612 0.53224677\n",
            "1.4143791 0.53224295\n",
            "1.414597 0.53223914\n",
            "1.4148148 0.532196\n",
            "1.4150327 0.5321616\n",
            "1.4152505 0.5321098\n",
            "1.4154685 0.5320929\n",
            "1.4156862 0.5320936\n",
            "1.4159042 0.5320986\n",
            "1.4161221 0.53206\n",
            "1.4163399 0.53206503\n",
            "1.4165578 0.5320657\n",
            "1.4167756 0.532062\n",
            "1.4169935 0.53202784\n",
            "1.4172114 0.5319546\n",
            "1.4174292 0.53188574\n",
            "1.4176471 0.5318561\n",
            "1.4178649 0.5318308\n",
            "1.4180828 0.5318273\n",
            "1.4183006 0.53182805\n",
            "1.4185185 0.5317768\n",
            "1.4187365 0.53174293\n",
            "1.4189543 0.5316918\n",
            "1.4191722 0.531671\n",
            "1.41939 0.53165025\n",
            "1.4196079 0.53164244\n",
            "1.4198258 0.53162605\n",
            "1.4200436 0.53163123\n",
            "1.4202615 0.53159326\n",
            "1.4204793 0.5315726\n",
            "1.4206972 0.5315649\n",
            "1.420915 0.5315615\n",
            "1.4211329 0.5315365\n",
            "1.4213508 0.5315547\n",
            "1.4215686 0.5315685\n",
            "1.4217865 0.53155226\n",
            "1.4220043 0.53154457\n",
            "1.4222223 0.5315326\n",
            "1.4224402 0.5315163\n",
            "1.422658 0.53145283\n",
            "1.4228759 0.5314152\n",
            "1.4230937 0.53136474\n",
            "1.4233116 0.53136575\n",
            "1.4235294 0.5313839\n",
            "1.4237473 0.53139776\n",
            "1.4239652 0.5314116\n",
            "1.424183 0.53141254\n",
            "1.4244009 0.53139645\n",
            "1.4246187 0.5313248\n",
            "1.4248366 0.53126174\n",
            "1.4250546 0.5312628\n",
            "1.4252723 0.53124255\n",
            "1.4254903 0.53123933\n",
            "1.425708 0.5312447\n",
            "1.425926 0.53113496\n",
            "1.4261438 0.531085\n",
            "1.4263617 0.5311032\n",
            "1.4265796 0.5310916\n",
            "1.4267974 0.5310927\n",
            "1.4270153 0.5310641\n",
            "1.4272331 0.531078\n",
            "1.427451 0.5310664\n",
            "1.4276689 0.5310633\n",
            "1.4278867 0.53103054\n",
            "1.4281046 0.53095114\n",
            "1.4283224 0.53097355\n",
            "1.4285403 0.53096205\n",
            "1.4287581 0.5309717\n",
            "1.428976 0.5309349\n",
            "1.429194 0.5309276\n",
            "1.4294118 0.53088236\n",
            "1.4296297 0.5308371\n",
            "1.4298475 0.53082997\n",
            "1.4300654 0.5308059\n",
            "1.4302833 0.5308072\n",
            "1.4305011 0.53077054\n",
            "1.430719 0.53074235\n",
            "1.4309368 0.53072256\n",
            "1.4311547 0.53069866\n",
            "1.4313725 0.5306537\n",
            "1.4315904 0.53065926\n",
            "1.4318084 0.5306648\n",
            "1.4320261 0.530683\n",
            "1.4322441 0.53069687\n",
            "1.4324619 0.5307318\n",
            "1.4326798 0.5307373\n",
            "1.4328977 0.5307302\n",
            "1.4331155 0.5307273\n",
            "1.4333334 0.5307077\n",
            "1.4335512 0.5306672\n",
            "1.4337691 0.5306309\n",
            "1.4339869 0.5306573\n",
            "1.4342048 0.53065026\n",
            "1.4344227 0.53066\n",
            "1.4346405 0.53067803\n",
            "1.4348584 0.53066266\n",
            "1.4350762 0.53063065\n",
            "1.4352942 0.5305903\n",
            "1.4355121 0.5305542\n",
            "1.4357299 0.53048474\n",
            "1.4359478 0.530457\n",
            "1.4361656 0.5304668\n",
            "1.4363835 0.5304682\n",
            "1.4366013 0.5304655\n",
            "1.4368192 0.5304877\n",
            "1.4370371 0.5304393\n",
            "1.4372549 0.53041166\n",
            "1.4374728 0.53037995\n",
            "1.4376906 0.5303524\n",
            "1.4379085 0.53032905\n",
            "1.4381264 0.53034294\n",
            "1.4383442 0.5303196\n",
            "1.4385622 0.5303583\n",
            "1.43878 0.5303763\n",
            "1.4389979 0.5303695\n",
            "1.4392157 0.5303132\n",
            "1.4394336 0.5302858\n",
            "1.4396515 0.53027076\n",
            "1.4398693 0.5302558\n",
            "1.4400872 0.5301955\n",
            "1.440305 0.5302217\n",
            "1.4405229 0.5302439\n",
            "1.4407408 0.53024125\n",
            "1.4409586 0.5302099\n",
            "1.4411765 0.5301908\n",
            "1.4413943 0.5301842\n",
            "1.4416122 0.5301323\n",
            "1.44183 0.5301051\n",
            "1.442048 0.53011906\n",
            "1.4422659 0.5301042\n",
            "1.4424837 0.5301099\n",
            "1.4427016 0.5301197\n",
            "1.4429194 0.5301254\n",
            "1.4431373 0.53011876\n",
            "1.4433552 0.5301203\n",
            "1.443573 0.53006876\n",
            "1.4437909 0.5300826\n",
            "1.4440087 0.53006375\n",
            "1.4442266 0.5300327\n",
            "1.4444444 0.530022\n",
            "1.4446623 0.53004813\n",
            "1.4448802 0.5300661\n",
            "1.445098 0.5300351\n",
            "1.445316 0.53004485\n",
            "1.4455338 0.5300057\n",
            "1.4457517 0.529987\n",
            "1.4459696 0.52994794\n",
            "1.4461874 0.5299455\n",
            "1.4464053 0.5299512\n",
            "1.4466231 0.52992034\n",
            "1.446841 0.5298936\n",
            "1.4470588 0.52987903\n",
            "1.4472767 0.52985233\n",
            "1.4474946 0.52983373\n",
            "1.4477124 0.5298233\n",
            "1.4479303 0.5298047\n",
            "1.4481481 0.5297943\n",
            "1.448366 0.52979195\n",
            "1.448584 0.52981395\n",
            "1.4488018 0.52978325\n",
            "1.4490197 0.5297608\n",
            "1.4492375 0.52975845\n",
            "1.4494554 0.5297359\n",
            "1.4496732 0.5297296\n",
            "1.4498911 0.52969503\n",
            "1.450109 0.5296767\n",
            "1.4503268 0.52967036\n",
            "1.4505447 0.5296641\n",
            "1.4507625 0.52964973\n",
            "1.4509804 0.5296395\n",
            "1.4511983 0.5296372\n",
            "1.4514161 0.5296069\n",
            "1.451634 0.52959657\n",
            "1.4518518 0.5295823\n",
            "1.4520698 0.52960825\n",
            "1.4522876 0.52963406\n",
            "1.4525055 0.5296519\n",
            "1.4527234 0.52962965\n",
            "1.4529412 0.52965546\n",
            "1.4531591 0.52961314\n",
            "1.4533769 0.52959496\n",
            "1.4535948 0.5296167\n",
            "1.4538127 0.52963054\n",
            "1.4540305 0.5296443\n",
            "1.4542484 0.529658\n",
            "1.4544662 0.52963585\n",
            "1.4546841 0.5296775\n",
            "1.4549019 0.5296713\n",
            "1.4551198 0.5296013\n",
            "1.4553378 0.52957916\n",
            "1.4555556 0.52957696\n",
            "1.4557735 0.5295668\n",
            "1.4559913 0.5295567\n",
            "1.4562092 0.5295505\n",
            "1.4564271 0.52954435\n",
            "1.4566449 0.5294866\n",
            "1.4568628 0.5295122\n",
            "1.4570806 0.5294783\n",
            "1.4572985 0.52950394\n",
            "1.4575163 0.52953357\n",
            "1.4577342 0.52951556\n",
            "1.4579521 0.52949756\n",
            "1.4581699 0.5294558\n",
            "1.4583879 0.5294616\n",
            "1.4586056 0.5294239\n",
            "1.4588236 0.52944154\n",
            "1.4590415 0.52949876\n",
            "1.4592593 0.5295085\n",
            "1.4594772 0.5295142\n",
            "1.459695 0.52952\n",
            "1.4599129 0.52947444\n",
            "1.4601307 0.52946836\n",
            "1.4603486 0.5294663\n",
            "1.4605665 0.5294641\n",
            "1.4607843 0.5294187\n",
            "1.4610022 0.52939695\n",
            "1.46122 0.5293988\n",
            "1.461438 0.5294321\n",
            "1.4616559 0.52944183\n",
            "1.4618737 0.5294554\n",
            "1.4620916 0.52944547\n",
            "1.4623094 0.5294748\n",
            "1.4625273 0.5294805\n",
            "1.4627451 0.52947843\n",
            "1.462963 0.52946067\n",
            "1.4631809 0.52947813\n",
            "1.4633987 0.5294878\n",
            "1.4636166 0.52947\n",
            "1.4638344 0.52949136\n",
            "1.4640523 0.52944237\n",
            "1.4642702 0.5294325\n",
            "1.464488 0.5293952\n",
            "1.464706 0.52932286\n",
            "1.4649237 0.52933645\n",
            "1.4651417 0.52934223\n",
            "1.4653594 0.5293402\n",
            "1.4655774 0.5293304\n",
            "1.4657953 0.5293128\n",
            "1.4660131 0.5292796\n",
            "1.466231 0.52924645\n",
            "1.4664488 0.52921337\n",
            "1.4666667 0.52918416\n",
            "1.4668846 0.5291861\n",
            "1.4671024 0.52918804\n",
            "1.4673203 0.5291939\n",
            "1.4675381 0.52920353\n",
            "1.467756 0.52920157\n",
            "1.4679738 0.52920353\n",
            "1.4681917 0.52917445\n",
            "1.4684097 0.5291725\n",
            "1.4686275 0.5292015\n",
            "1.4688454 0.52921504\n",
            "1.4690632 0.5292054\n",
            "1.4692811 0.52917635\n",
            "1.469499 0.5291551\n",
            "1.4697168 0.5291493\n",
            "1.4699347 0.52909714\n",
            "1.4701525 0.52904123\n",
            "1.4703704 0.52902776\n",
            "1.4705882 0.52901435\n",
            "1.4708061 0.52902406\n",
            "1.471024 0.52905685\n",
            "1.4712418 0.52906656\n",
            "1.4714597 0.5290685\n",
            "1.4716775 0.5290782\n",
            "1.4718955 0.52909166\n",
            "1.4721134 0.52912056\n",
            "1.4723312 0.5291225\n",
            "1.4725491 0.5291321\n",
            "1.4727669 0.52913785\n",
            "1.4729848 0.52915514\n",
            "1.4732026 0.52917624\n",
            "1.4734205 0.52918583\n",
            "1.4736384 0.5291839\n",
            "1.4738562 0.52918583\n",
            "1.4740741 0.5291609\n",
            "1.4742919 0.5291131\n",
            "1.4745098 0.5290921\n",
            "1.4747277 0.52910167\n",
            "1.4749455 0.5291342\n",
            "1.4751635 0.529159\n",
            "1.4753813 0.5291533\n",
            "1.4755992 0.52917045\n",
            "1.475817 0.52918\n",
            "1.4760349 0.5292048\n",
            "1.4762528 0.5292181\n",
            "1.4764706 0.52921236\n",
            "1.4766885 0.5291952\n",
            "1.4769063 0.5291895\n",
            "1.4771242 0.5291762\n",
            "1.4773421 0.52918565\n",
            "1.4775599 0.52916855\n",
            "1.4777778 0.5291287\n",
            "1.4779956 0.52910405\n",
            "1.4782135 0.5290604\n",
            "1.4784313 0.5290586\n",
            "1.4786493 0.52908707\n",
            "1.4788672 0.52912307\n",
            "1.479085 0.5291439\n",
            "1.4793029 0.5291572\n",
            "1.4795207 0.52917045\n",
            "1.4797386 0.5291232\n",
            "1.4799565 0.5291364\n",
            "1.4801743 0.529127\n",
            "1.4803922 0.5291289\n",
            "1.48061 0.5291346\n",
            "1.4808279 0.5291365\n",
            "1.4810457 0.529112\n",
            "1.4812636 0.52911764\n",
            "1.4814816 0.52914214\n",
            "1.4816993 0.52908003\n",
            "1.4819173 0.5290631\n",
            "1.482135 0.5290801\n",
            "1.482353 0.52910835\n",
            "1.4825709 0.5291366\n",
            "1.4827887 0.5291272\n",
            "1.4830066 0.52914786\n",
            "1.4832244 0.529116\n",
            "1.4834423 0.5290841\n",
            "1.4836601 0.52906346\n",
            "1.483878 0.52907664\n",
            "1.4840959 0.5290898\n",
            "1.4843137 0.5290992\n",
            "1.4845316 0.52913857\n",
            "1.4847494 0.529118\n",
            "1.4849674 0.5291124\n",
            "1.4851853 0.52912176\n",
            "1.4854031 0.52910125\n",
            "1.485621 0.5290508\n",
            "1.4858388 0.529049\n",
            "1.4860567 0.5290472\n",
            "1.4862745 0.52906406\n",
            "1.4864924 0.5290921\n",
            "1.4867103 0.5290828\n",
            "1.4869281 0.5290958\n",
            "1.487146 0.5290307\n",
            "1.4873638 0.52900285\n",
            "1.4875817 0.52898246\n",
            "1.4877996 0.5289769\n",
            "1.4880174 0.5289789\n",
            "1.4882354 0.52896225\n",
            "1.4884531 0.5289196\n",
            "1.4886711 0.52891785\n",
            "1.4888889 0.52892727\n",
            "1.4891068 0.5289441\n",
            "1.4893247 0.5289608\n",
            "1.4895425 0.52899617\n",
            "1.4897604 0.5290203\n",
            "1.4899782 0.52901113\n",
            "1.4901961 0.5290204\n",
            "1.490414 0.52901125\n",
            "1.4906318 0.52896506\n",
            "1.4908497 0.52893007\n",
            "1.4910675 0.52888393\n",
            "1.4912854 0.5288675\n",
            "1.4915032 0.5288399\n",
            "1.4917212 0.5288382\n",
            "1.4919391 0.52882916\n",
            "1.4921569 0.52879053\n",
            "1.4923748 0.52877414\n",
            "1.4925926 0.52877986\n",
            "1.4928105 0.52879655\n",
            "1.4930284 0.5287986\n",
            "1.4932462 0.52880424\n",
            "1.4934641 0.52878785\n",
            "1.4936819 0.52877885\n",
            "1.4938998 0.5287735\n",
            "1.4941176 0.5287498\n",
            "1.4943355 0.52875185\n",
            "1.4945534 0.5288126\n",
            "1.4947712 0.5288072\n",
            "1.4949892 0.5288312\n",
            "1.495207 0.52883685\n",
            "1.4954249 0.5287985\n",
            "1.4956428 0.5287712\n",
            "1.4958606 0.5287769\n",
            "1.4960785 0.5287716\n",
            "1.4962963 0.528748\n",
            "1.4965142 0.5287427\n",
            "1.496732 0.52875566\n",
            "1.4969499 0.52876496\n",
            "1.4971678 0.52874506\n",
            "1.4973856 0.5287033\n",
            "1.4976035 0.5286871\n",
            "1.4978213 0.52864903\n",
            "1.4980392 0.52862555\n",
            "1.4982572 0.5286021\n",
            "1.498475 0.52858233\n",
            "1.4986929 0.5285735\n",
            "1.4989107 0.52856106\n",
            "1.4991286 0.5285304\n",
            "1.4993464 0.5285107\n",
            "1.4995643 0.52850187\n",
            "1.4997822 0.52847856\n",
            "1.5 0.55\n",
            "1.5002179 0.47083333\n",
            "1.5004357 0.49722221\n",
            "1.5006536 0.51875\n",
            "1.5008715 0.535\n",
            "1.5010893 0.5277778\n",
            "1.5013072 0.5297619\n",
            "1.501525 0.5229167\n",
            "1.501743 0.51944447\n",
            "1.5019608 0.5158333\n",
            "1.5021787 0.5128788\n",
            "1.5023966 0.5159722\n",
            "1.5026144 0.525\n",
            "1.5028323 0.52380955\n",
            "1.5030501 0.5238889\n",
            "1.503268 0.5229167\n",
            "1.5034859 0.52254903\n",
            "1.5037037 0.5208333\n",
            "1.5039216 0.5171053\n",
            "1.5041394 0.5158333\n",
            "1.5043573 0.5170635\n",
            "1.5045751 0.51666665\n",
            "1.504793 0.51992756\n",
            "1.505011 0.5208333\n",
            "1.5052288 0.5223333\n",
            "1.5054467 0.5208333\n",
            "1.5056645 0.5222222\n",
            "1.5058824 0.5208333\n",
            "1.5061003 0.5198276\n",
            "1.5063181 0.52055556\n",
            "1.506536 0.522043\n",
            "1.5067538 0.52552086\n",
            "1.5069717 0.5265151\n",
            "1.5071895 0.525\n",
            "1.5074074 0.5259524\n",
            "1.5076253 0.524537\n",
            "1.5078431 0.5240991\n",
            "1.508061 0.5225877\n",
            "1.5082788 0.5209402\n",
            "1.5084968 0.52208334\n",
            "1.5087147 0.5223577\n",
            "1.5089325 0.521627\n",
            "1.5091504 0.52170545\n",
            "1.5093682 0.52064395\n",
            "1.5095861 0.52\n",
            "1.5098039 0.5213768\n",
            "1.5100218 0.5228723\n",
            "1.5102397 0.5243056\n",
            "1.5104575 0.52534014\n",
            "1.5106754 0.52633333\n",
            "1.5108932 0.5259804\n",
            "1.5111111 0.52660257\n",
            "1.511329 0.5267296\n",
            "1.5115469 0.5263889\n",
            "1.5117648 0.52772725\n",
            "1.5119826 0.52589285\n",
            "1.5122005 0.5258772\n",
            "1.5124183 0.5258621\n",
            "1.5126362 0.52754235\n",
            "1.5128541 0.52875\n",
            "1.5130719 0.5295082\n",
            "1.5132898 0.5298387\n",
            "1.5135076 0.5285714\n",
            "1.5137255 0.52760416\n",
            "1.5139434 0.5276923\n",
            "1.5141612 0.52752525\n",
            "1.5143791 0.525995\n",
            "1.5145969 0.5259804\n",
            "1.5148149 0.5268116\n",
            "1.5150326 0.52619046\n",
            "1.5152506 0.525939\n",
            "1.5154685 0.5258102\n",
            "1.5156863 0.52534246\n",
            "1.5159042 0.5269144\n",
            "1.516122 0.5278889\n",
            "1.5163399 0.5274123\n",
            "1.5165578 0.5279221\n",
            "1.5167756 0.52916664\n",
            "1.5169935 0.5293249\n",
            "1.5172113 0.5286458\n",
            "1.5174292 0.5287037\n",
            "1.517647 0.52916664\n",
            "1.517865 0.52911645\n",
            "1.5180829 0.52996033\n",
            "1.5183007 0.53039217\n",
            "1.5185186 0.5317829\n",
            "1.5187364 0.5321839\n",
            "1.5189543 0.5324811\n",
            "1.5191722 0.5326779\n",
            "1.51939 0.5327778\n",
            "1.5196079 0.53205127\n",
            "1.5198257 0.53224635\n",
            "1.5200436 0.5319893\n",
            "1.5202614 0.53235817\n",
            "1.5204793 0.53210527\n",
            "1.5206972 0.53203124\n",
            "1.520915 0.53273195\n",
            "1.521133 0.532483\n",
            "1.5213507 0.5325758\n",
            "1.5215687 0.53291667\n",
            "1.5217866 0.53242576\n",
            "1.5220044 0.53169936\n",
            "1.5222223 0.53139156\n",
            "1.5224401 0.5313301\n",
            "1.522658 0.53190476\n",
            "1.5228758 0.53199685\n",
            "1.5230937 0.5317757\n",
            "1.5233116 0.5308642\n",
            "1.5235294 0.5305046\n",
            "1.5237473 0.53113633\n",
            "1.5239651 0.53138137\n",
            "1.524183 0.53139883\n",
            "1.524401 0.53207964\n",
            "1.5246187 0.5332602\n",
            "1.5248367 0.5337681\n",
            "1.5250545 0.5338362\n",
            "1.5252724 0.53425926\n",
            "1.5254902 0.53403956\n",
            "1.5257081 0.5348039\n",
            "1.525926 0.53506947\n",
            "1.5261438 0.53471076\n",
            "1.5263617 0.5354508\n",
            "1.5265795 0.5366531\n",
            "1.5267974 0.53776884\n",
            "1.5270153 0.5384\n",
            "1.5272331 0.53835976\n",
            "1.527451 0.5389764\n",
            "1.5276688 0.5388672\n",
            "1.5278867 0.5385659\n",
            "1.5281045 0.53846157\n",
            "1.5283225 0.53918576\n",
            "1.5285404 0.54008836\n",
            "1.5287582 0.5404762\n",
            "1.5289761 0.5409826\n",
            "1.5291939 0.5419753\n",
            "1.5294118 0.5422794\n",
            "1.5296297 0.5430049\n",
            "1.5298475 0.54323673\n",
            "1.5300654 0.54310554\n",
            "1.5302832 0.5434524\n",
            "1.5305011 0.5437352\n",
            "1.5307189 0.5435446\n",
            "1.5309368 0.5437646\n",
            "1.5311548 0.54409724\n",
            "1.5313725 0.54431033\n",
            "1.5315905 0.54452056\n",
            "1.5318083 0.5442744\n",
            "1.5320262 0.54481983\n",
            "1.5322441 0.5458613\n",
            "1.5324619 0.5462222\n",
            "1.5326798 0.54619205\n",
            "1.5328976 0.54506576\n",
            "1.5331155 0.54488015\n",
            "1.5333333 0.5445346\n",
            "1.5335512 0.54478496\n",
            "1.5337691 0.5451923\n",
            "1.5339869 0.54469216\n",
            "1.5342048 0.5449367\n",
            "1.5344226 0.5452306\n",
            "1.5346406 0.54578125\n",
            "1.5348585 0.546118\n",
            "1.5350763 0.5454733\n",
            "1.5352942 0.5458078\n",
            "1.535512 0.54588413\n",
            "1.5357299 0.54535353\n",
            "1.5359477 0.5454819\n",
            "1.5361656 0.5459581\n",
            "1.5363835 0.54593253\n",
            "1.5366013 0.5463511\n",
            "1.5368192 0.5462745\n",
            "1.537037 0.5460039\n",
            "1.5372549 0.5460271\n",
            "1.5374728 0.5460019\n",
            "1.5376906 0.5461207\n",
            "1.5379086 0.5462857\n",
            "1.5381263 0.5464015\n",
            "1.5383443 0.54675144\n",
            "1.538562 0.5463951\n",
            "1.53878 0.54613596\n",
            "1.5389979 0.5460648\n",
            "1.5392157 0.54608655\n",
            "1.5394336 0.5459249\n",
            "1.5396514 0.5458106\n",
            "1.5398693 0.5462409\n",
            "1.5400872 0.5462162\n",
            "1.540305 0.54628134\n",
            "1.5405229 0.54616755\n",
            "1.5407407 0.5463209\n",
            "1.5409586 0.5458554\n",
            "1.5411764 0.5458772\n",
            "1.5413944 0.54528797\n",
            "1.5416123 0.5450521\n",
            "1.5418301 0.54542315\n",
            "1.542048 0.5456615\n",
            "1.5422658 0.54594016\n",
            "1.5424837 0.54591835\n",
            "1.5427016 0.5455584\n",
            "1.5429194 0.54566497\n",
            "1.5431373 0.545268\n",
            "1.5433551 0.5454583\n",
            "1.543573 0.5458126\n",
            "1.5437908 0.54599833\n",
            "1.5440087 0.545977\n",
            "1.5442266 0.5459559\n",
            "1.5444444 0.5459756\n",
            "1.5446624 0.5457929\n",
            "1.5448802 0.5460145\n",
            "1.5450981 0.5460337\n",
            "1.545316 0.545933\n",
            "1.5455338 0.5460318\n",
            "1.5457517 0.5461295\n",
            "1.5459695 0.5460692\n",
            "1.5461874 0.5460876\n",
            "1.5464052 0.5461838\n",
            "1.5466231 0.54589146\n",
            "1.546841 0.5459105\n",
            "1.5470588 0.5453917\n",
            "1.5472767 0.5454893\n",
            "1.5474945 0.5454338\n",
            "1.5477124 0.5457197\n",
            "1.5479304 0.5460407\n",
            "1.5481482 0.54613364\n",
            "1.5483661 0.5457399\n",
            "1.5485839 0.5456473\n",
            "1.5488018 0.5457778\n",
            "1.5490196 0.5456858\n",
            "1.5492375 0.5458884\n",
            "1.5494554 0.54597956\n",
            "1.5496732 0.5459243\n",
            "1.5498911 0.5464855\n",
            "1.5501089 0.54642856\n",
            "1.5503268 0.54658765\n",
            "1.5505447 0.54656655\n",
            "1.5507625 0.54647434\n",
            "1.5509804 0.5465603\n",
            "1.5511982 0.5466808\n",
            "1.5514162 0.5468354\n",
            "1.551634 0.54688376\n",
            "1.5518519 0.54707116\n",
            "1.5520698 0.54746526\n",
            "1.5522876 0.5473375\n",
            "1.5525055 0.54731405\n",
            "1.5527233 0.54715365\n",
            "1.5529412 0.5469945\n",
            "1.5531591 0.54683673\n",
            "1.5533769 0.5468157\n",
            "1.5535948 0.54692984\n",
            "1.5538126 0.5470094\n",
            "1.5540305 0.54702145\n",
            "1.5542483 0.5469667\n",
            "1.5544662 0.547012\n",
            "1.5546842 0.5469577\n",
            "1.554902 0.5472332\n",
            "1.5551199 0.5476706\n",
            "1.5553377 0.54781044\n",
            "1.5555556 0.54791665\n",
            "1.5557735 0.548249\n",
            "1.5559913 0.548062\n",
            "1.5562092 0.547973\n",
            "1.556427 0.5478205\n",
            "1.5566449 0.54782885\n",
            "1.5568627 0.54770994\n",
            "1.5570806 0.5476553\n",
            "1.5572985 0.5477904\n",
            "1.5575163 0.54786164\n",
            "1.5577343 0.54771304\n",
            "1.557952 0.54806495\n",
            "1.55817 0.5481032\n",
            "1.5583879 0.5482342\n",
            "1.5586057 0.5483642\n",
            "1.5588236 0.54852396\n",
            "1.5590414 0.5488051\n",
            "1.5592593 0.5485348\n",
            "1.5594771 0.5486922\n",
            "1.559695 0.548697\n",
            "1.5599129 0.5486715\n",
            "1.5601307 0.54900724\n",
            "1.5603486 0.54919064\n",
            "1.5605664 0.54949224\n",
            "1.5607843 0.5497917\n",
            "1.5610023 0.549911\n",
            "1.56122 0.54985225\n",
            "1.561438 0.5494405\n",
            "1.5616558 0.54955983\n",
            "1.5618737 0.54938596\n",
            "1.5620915 0.54947555\n",
            "1.5623094 0.54953545\n",
            "1.5625273 0.54962385\n",
            "1.5627451 0.55\n",
            "1.562963 0.5502299\n",
            "1.5631808 0.5505441\n",
            "1.5633987 0.55034244\n",
            "1.5636166 0.55071104\n",
            "1.5638344 0.5506236\n",
            "1.5640523 0.5508192\n",
            "1.5642701 0.5507883\n",
            "1.564488 0.5505612\n",
            "1.5647058 0.5504754\n",
            "1.5649238 0.55055743\n",
            "1.5651417 0.5505\n",
            "1.5653595 0.5505814\n",
            "1.5655774 0.5503035\n",
            "1.5657952 0.55041254\n",
            "1.5660131 0.5504934\n",
            "1.566231 0.55043715\n",
            "1.5664488 0.54994553\n",
            "1.5666667 0.5499186\n",
            "1.5668845 0.55005413\n",
            "1.5671024 0.5502157\n",
            "1.5673202 0.5500538\n",
            "1.5675381 0.5499196\n",
            "1.567756 0.5499466\n",
            "1.5679739 0.5499467\n",
            "1.5681918 0.5497877\n",
            "1.5684096 0.54968256\n",
            "1.5686275 0.5496044\n",
            "1.5688454 0.54926395\n",
            "1.5690632 0.54937106\n",
            "1.5692811 0.5494253\n",
            "1.5694989 0.549375\n",
            "1.5697168 0.54968846\n",
            "1.5699346 0.5497412\n",
            "1.5701525 0.5498968\n",
            "1.5703704 0.5500257\n",
            "1.5705882 0.55\n",
            "1.5708061 0.5501278\n",
            "1.571024 0.5503058\n",
            "1.5712419 0.55048275\n",
            "1.5714598 0.55048126\n",
            "1.5716776 0.5506313\n",
            "1.5718955 0.5505791\n",
            "1.5721133 0.5505271\n",
            "1.5723312 0.5504755\n",
            "1.572549 0.55047405\n",
            "1.5727669 0.55019903\n",
            "1.5729848 0.5500496\n",
            "1.5732026 0.55019784\n",
            "1.5734205 0.5502219\n",
            "1.5736383 0.55022126\n",
            "1.5738562 0.5502451\n",
            "1.5740741 0.5502444\n",
            "1.574292 0.5503655\n",
            "1.5745099 0.5503401\n",
            "1.5747277 0.55021805\n",
            "1.5749456 0.5500725\n",
            "1.5751634 0.55021673\n",
            "1.5753813 0.5502882\n",
            "1.5755992 0.5501676\n",
            "1.575817 0.55028653\n",
            "1.5760349 0.5502381\n",
            "1.5762527 0.5501899\n",
            "1.5764706 0.5501894\n",
            "1.5766885 0.55023605\n",
            "1.5769063 0.5504002\n",
            "1.5771242 0.5505399\n",
            "1.577342 0.55067885\n",
            "1.57756 0.5506536\n",
            "1.5777777 0.55067503\n",
            "1.5779957 0.5505571\n",
            "1.5782136 0.5505093\n",
            "1.5784314 0.55013853\n",
            "1.5786493 0.5500921\n",
            "1.5788671 0.5501607\n",
            "1.579085 0.5500229\n",
            "1.5793029 0.5496347\n",
            "1.5795207 0.5494763\n",
            "1.5797386 0.5494096\n",
            "1.5799564 0.5492527\n",
            "1.5801743 0.54898375\n",
            "1.5803921 0.54882884\n",
            "1.58061 0.5487197\n",
            "1.580828 0.5488351\n",
            "1.5810457 0.54906166\n",
            "1.5812637 0.5487745\n",
            "1.5814815 0.5487111\n",
            "1.5816994 0.5485151\n",
            "1.5819173 0.54834217\n",
            "1.5821351 0.54825836\n",
            "1.582353 0.54832894\n",
            "1.5825708 0.54833335\n",
            "1.5827887 0.54829395\n",
            "1.5830065 0.5482766\n",
            "1.5832244 0.5481723\n",
            "1.5834423 0.54796004\n",
            "1.5836601 0.54790044\n",
            "1.583878 0.5478843\n",
            "1.5840958 0.5476098\n",
            "1.5843138 0.5474227\n",
            "1.5845317 0.54738647\n",
            "1.5847495 0.5471154\n",
            "1.5849674 0.5471228\n",
            "1.5851852 0.54725766\n",
            "1.5854031 0.5472222\n",
            "1.5856209 0.5472293\n",
            "1.5858388 0.5470042\n",
            "1.5860567 0.5467803\n",
            "1.5862745 0.54668343\n",
            "1.5864924 0.5465871\n",
            "1.5867102 0.5463868\n",
            "1.5869281 0.5464375\n",
            "1.587146 0.54636323\n",
            "1.5873638 0.54635155\n",
            "1.5875818 0.546402\n",
            "1.5877995 0.5464109\n",
            "1.5880175 0.54623455\n",
            "1.5882353 0.54624385\n",
            "1.5884532 0.54586405\n",
            "1.5886711 0.54593545\n",
            "1.5888889 0.54588425\n",
            "1.5891068 0.54575205\n",
            "1.5893246 0.54576236\n",
            "1.5895425 0.5457727\n",
            "1.5897604 0.54554075\n",
            "1.5899782 0.54541063\n",
            "1.5901961 0.54544175\n",
            "1.5904139 0.54523236\n",
            "1.5906318 0.5451439\n",
            "1.5908496 0.5450758\n",
            "1.5910676 0.5448886\n",
            "1.5912855 0.5449405\n",
            "1.5915033 0.5449525\n",
            "1.5917212 0.54504347\n",
            "1.591939 0.5451143\n",
            "1.5921569 0.5452044\n",
            "1.5923748 0.5451372\n",
            "1.5925926 0.5450313\n",
            "1.5928105 0.5448673\n",
            "1.5930283 0.5448014\n",
            "1.5932462 0.54483294\n",
            "1.593464 0.5447093\n",
            "1.5936819 0.54466355\n",
            "1.5938998 0.54459876\n",
            "1.5941176 0.544746\n",
            "1.5943356 0.54481566\n",
            "1.5945534 0.54469347\n",
            "1.5947713 0.5444763\n",
            "1.5949892 0.5443936\n",
            "1.595207 0.54414004\n",
            "1.5954249 0.5441154\n",
            "1.5956427 0.5439394\n",
            "1.5958606 0.5440476\n",
            "1.5960784 0.54407996\n",
            "1.5962963 0.5441121\n",
            "1.5965142 0.54403156\n",
            "1.596732 0.5438015\n",
            "1.5969499 0.543722\n",
            "1.5971677 0.54375464\n",
            "1.5973856 0.5437686\n",
            "1.5976036 0.543801\n",
            "1.5978214 0.54385185\n",
            "1.5980393 0.54381007\n",
            "1.5982571 0.54375\n",
            "1.598475 0.5436902\n",
            "1.5986928 0.54361236\n",
            "1.5989107 0.543315\n",
            "1.5991286 0.54336625\n",
            "1.5993464 0.54327136\n",
            "1.5995643 0.543286\n",
            "1.5997821 0.5433188\n",
            "1.6 0.54331523\n",
            "1.6002179 0.5430947\n",
            "1.6004357 0.54296535\n",
            "1.6006536 0.54299855\n",
            "1.6008714 0.5430855\n",
            "1.6010894 0.54333335\n",
            "1.6013072 0.54343706\n",
            "1.6015251 0.5433619\n",
            "1.601743 0.5434829\n",
            "1.6019608 0.54342574\n",
            "1.6021787 0.5434043\n",
            "1.6023965 0.5433475\n",
            "1.6026144 0.54318506\n",
            "1.6028323 0.54326993\n",
            "1.6030501 0.5433017\n",
            "1.603268 0.54331577\n",
            "1.6034858 0.54329485\n",
            "1.6037037 0.54322153\n",
            "1.6039215 0.54295677\n",
            "1.6041394 0.5429541\n",
            "1.6043574 0.5427951\n",
            "1.6045752 0.5426715\n",
            "1.6047931 0.5424793\n",
            "1.6050109 0.54244304\n",
            "1.6052288 0.542562\n",
            "1.6054467 0.5426289\n",
            "1.6056645 0.5426612\n",
            "1.6058824 0.54265916\n",
            "1.6061002 0.5426571\n",
            "1.6063181 0.542621\n",
            "1.6065359 0.542483\n",
            "1.6067538 0.5423286\n",
            "1.6069717 0.5421579\n",
            "1.6071895 0.5420047\n",
            "1.6074075 0.54190284\n",
            "1.6076252 0.5419192\n",
            "1.6078432 0.5419523\n",
            "1.6080611 0.5418008\n",
            "1.6082789 0.5418842\n",
            "1.6084968 0.54183364\n",
            "1.6087146 0.54188335\n",
            "1.6089325 0.54176646\n",
            "1.6091503 0.54168326\n",
            "1.6093682 0.54163355\n",
            "1.6095861 0.5416501\n",
            "1.6098039 0.5416832\n",
            "1.6100218 0.5416502\n",
            "1.6102396 0.541453\n",
            "1.6104575 0.5412894\n",
            "1.6106755 0.5412737\n",
            "1.6108932 0.5411111\n",
            "1.6111112 0.54106325\n",
            "1.611329 0.5410807\n",
            "1.6115469 0.5413255\n",
            "1.6117647 0.5412938\n",
            "1.6119826 0.54135925\n",
            "1.6122005 0.5412629\n",
            "1.6124183 0.5411348\n",
            "1.6126362 0.5411519\n",
            "1.612854 0.54112077\n",
            "1.6130719 0.5410417\n",
            "1.6132898 0.5410269\n",
            "1.6135076 0.5410121\n",
            "1.6137255 0.54094964\n",
            "1.6139433 0.5409192\n",
            "1.6141613 0.54090476\n",
            "1.614379 0.5408112\n",
            "1.614597 0.54068625\n",
            "1.6148149 0.54048294\n",
            "1.6150327 0.54031193\n",
            "1.6152506 0.5402044\n",
            "1.6154684 0.5403013\n",
            "1.6156863 0.5402882\n",
            "1.6159042 0.54022825\n",
            "1.616122 0.54013735\n",
            "1.6163399 0.5399844\n",
            "1.6165577 0.5399254\n",
            "1.6167756 0.5396803\n",
            "1.6169934 0.539746\n",
            "1.6172113 0.53970313\n",
            "1.6174293 0.53959876\n",
            "1.617647 0.53944856\n",
            "1.617865 0.53931427\n",
            "1.6180828 0.53919584\n",
            "1.6183007 0.53918505\n",
            "1.6185186 0.53922015\n",
            "1.6187364 0.5391331\n",
            "1.6189543 0.5392596\n",
            "1.6191721 0.5394465\n",
            "1.61939 0.53946567\n",
            "1.6196078 0.5395\n",
            "1.6198257 0.5394737\n",
            "1.6200436 0.5392965\n",
            "1.6202614 0.5393008\n",
            "1.6204793 0.5393201\n",
            "1.6206971 0.5392793\n",
            "1.620915 0.53923863\n",
            "1.621133 0.53925794\n",
            "1.6213508 0.53939664\n",
            "1.6215687 0.53946036\n",
            "1.6217865 0.5394643\n",
            "1.6220044 0.5395425\n",
            "1.6222222 0.5395314\n",
            "1.6224401 0.53969806\n",
            "1.622658 0.53965724\n",
            "1.6228758 0.5395723\n",
            "1.6230937 0.5395907\n",
            "1.6233115 0.5397266\n",
            "1.6235294 0.5396567\n",
            "1.6237473 0.5396602\n",
            "1.6239651 0.5395322\n",
            "1.624183 0.5392878\n",
            "1.6244009 0.5392482\n",
            "1.6246188 0.53915066\n",
            "1.6248366 0.5390679\n",
            "1.6250545 0.53911597\n",
            "1.6252724 0.5391493\n",
            "1.6254902 0.5391681\n",
            "1.6257081 0.5390859\n",
            "1.6259259 0.53897524\n",
            "1.6261438 0.538865\n",
            "1.6263617 0.53871197\n",
            "1.6265795 0.5387457\n",
            "1.6267974 0.5386078\n",
            "1.6270152 0.53862727\n",
            "1.6272331 0.53868943\n",
            "1.627451 0.5387941\n",
            "1.6276689 0.538728\n",
            "1.6278868 0.5387613\n",
            "1.6281046 0.53866726\n",
            "1.6283225 0.53851694\n",
            "1.6285403 0.53856456\n",
            "1.6287582 0.53865427\n",
            "1.6289761 0.538842\n",
            "1.6291939 0.5388328\n",
            "1.6294118 0.53911763\n",
            "1.6296296 0.5391639\n",
            "1.6298475 0.53920996\n",
            "1.6300653 0.53917223\n",
            "1.6302832 0.53912073\n",
            "1.6305012 0.5392778\n",
            "1.630719 0.53932333\n",
            "1.6309369 0.53929955\n",
            "1.6311547 0.53911\n",
            "1.6313726 0.53911424\n",
            "1.6315905 0.5389532\n",
            "1.6318083 0.5390539\n",
            "1.6320262 0.5390994\n",
            "1.632244 0.53915846\n",
            "1.6324619 0.539231\n",
            "1.6326797 0.5392623\n",
            "1.6328976 0.5392662\n",
            "1.6331155 0.53927016\n",
            "1.6333333 0.5392197\n",
            "1.6335512 0.53910154\n",
            "1.633769 0.53914636\n",
            "1.633987 0.5391775\n",
            "1.6342049 0.53920853\n",
            "1.6344227 0.53923947\n",
            "1.6346406 0.5392434\n",
            "1.6348584 0.5391532\n",
            "1.6350763 0.5391841\n",
            "1.6352941 0.5391613\n",
            "1.635512 0.5392723\n",
            "1.6357299 0.5392762\n",
            "1.6359477 0.53930664\n",
            "1.6361656 0.53931046\n",
            "1.6363834 0.5392079\n",
            "1.6366013 0.5391454\n",
            "1.6368192 0.5391759\n",
            "1.637037 0.5392725\n",
            "1.637255 0.53939515\n",
            "1.6374727 0.539557\n",
            "1.6376907 0.53957343\n",
            "1.6379085 0.5396556\n",
            "1.6381264 0.5396588\n",
            "1.6383443 0.5395047\n",
            "1.6385621 0.5395866\n",
            "1.63878 0.5395768\n",
            "1.6389978 0.53958005\n",
            "1.6392157 0.53967446\n",
            "1.6394336 0.5398076\n",
            "1.6396514 0.53983647\n",
            "1.6398693 0.53991705\n",
            "1.6400871 0.53997153\n",
            "1.640305 0.5401292\n",
            "1.6405228 0.54013157\n",
            "1.6407408 0.5401983\n",
            "1.6409587 0.54029065\n",
            "1.6411765 0.5404083\n",
            "1.6413944 0.5403077\n",
            "1.6416122 0.5404762\n",
            "1.6418301 0.54046524\n",
            "1.642048 0.540416\n",
            "1.6422658 0.54060906\n",
            "1.6424837 0.5407761\n",
            "1.6427015 0.5408537\n",
            "1.6429194 0.5409437\n",
            "1.6431372 0.54094476\n",
            "1.6433551 0.5409206\n",
            "1.643573 0.54098487\n",
            "1.6437908 0.5409228\n",
            "1.6440088 0.5410247\n",
            "1.6442266 0.5410382\n",
            "1.6444445 0.5409764\n",
            "1.6446624 0.54109025\n",
            "1.6448802 0.5410035\n",
            "1.6450981 0.5410045\n",
            "1.6453159 0.5409431\n",
            "1.6455338 0.54096913\n",
            "1.6457516 0.54093283\n",
            "1.6459695 0.540996\n",
            "1.6461874 0.541121\n",
            "1.6464052 0.541159\n",
            "1.6466231 0.5412339\n",
            "1.6468409 0.5412716\n",
            "1.6470588 0.5413092\n",
            "1.6472768 0.5413097\n",
            "1.6474946 0.54115045\n",
            "1.6477125 0.5411635\n",
            "1.6479303 0.54129905\n",
            "1.6481482 0.5413485\n",
            "1.648366 0.541349\n",
            "1.6485839 0.54137385\n",
            "1.6488018 0.5412646\n",
            "1.6490196 0.5412652\n",
            "1.6492375 0.5412901\n",
            "1.6494553 0.5412785\n",
            "1.6496732 0.54132754\n",
            "1.6498911 0.54143685\n",
            "1.6501089 0.54146135\n",
            "1.6503268 0.5414737\n",
            "1.6505446 0.54165465\n",
            "1.6507626 0.54170275\n",
            "1.6509804 0.54164267\n",
            "1.6511983 0.54159474\n",
            "1.6514162 0.54161876\n",
            "1.651634 0.54181015\n",
            "1.6518519 0.54172635\n",
            "1.6520697 0.5418574\n",
            "1.6522876 0.54175\n",
            "1.6525055 0.5417142\n",
            "1.6527233 0.54178536\n",
            "1.6529412 0.54174966\n",
            "1.653159 0.54178506\n",
            "1.6533769 0.5416667\n",
            "1.6535947 0.5417611\n",
            "1.6538126 0.5417845\n",
            "1.6540306 0.54183143\n",
            "1.6542484 0.5417607\n",
            "1.6544663 0.54178405\n",
            "1.6546841 0.54173696\n",
            "1.654902 0.5417486\n",
            "1.6551199 0.5417251\n",
            "1.6553377 0.54176\n",
            "1.6555556 0.5417832\n",
            "1.6557734 0.54180634\n",
            "1.6559913 0.5418875\n",
            "1.6562091 0.5419452\n",
            "1.656427 0.5420028\n",
            "1.6566449 0.5420139\n",
            "1.6568627 0.54203653\n",
            "1.6570807 0.5420706\n",
            "1.6572984 0.54202396\n",
            "1.6575164 0.54209256\n",
            "1.6577343 0.5421264\n",
            "1.6579521 0.5421602\n",
            "1.65817 0.5422856\n",
            "1.6583878 0.5422848\n",
            "1.6586057 0.54232967\n",
            "1.6588235 0.54230595\n",
            "1.6590414 0.54221386\n",
            "1.6592593 0.542327\n",
            "1.6594771 0.54232603\n",
            "1.659695 0.5424501\n",
            "1.6599128 0.542483\n",
            "1.6601307 0.54254985\n",
            "1.6603487 0.54253733\n",
            "1.6605664 0.54251355\n",
            "1.6607844 0.5424898\n",
            "1.6610022 0.54245496\n",
            "1.6612201 0.54229647\n",
            "1.6614379 0.5422507\n",
            "1.6616558 0.54228354\n",
            "1.6618737 0.5423947\n",
            "1.6620915 0.5424832\n",
            "1.6623094 0.54240394\n",
            "1.6625272 0.5424029\n",
            "1.6627451 0.54236853\n",
            "1.662963 0.54242325\n",
            "1.6631808 0.5425778\n",
            "1.6633987 0.5426542\n",
            "1.6636165 0.54269725\n",
            "1.6638345 0.54274017\n",
            "1.6640522 0.5427166\n",
            "1.6642702 0.54269314\n",
            "1.6644881 0.5426918\n",
            "1.6647059 0.54260236\n",
            "1.6649238 0.5426341\n",
            "1.6651416 0.5426329\n",
            "1.6653595 0.54267544\n",
            "1.6655774 0.542696\n",
            "1.6657952 0.5427275\n",
            "1.6660131 0.54271513\n",
            "1.6662309 0.5426265\n",
            "1.6664488 0.5426144\n",
            "1.6666666 0.54261315\n",
            "1.6668845 0.54251415\n",
            "1.6671025 0.5424262\n",
            "1.6673203 0.54237103\n",
            "1.6675382 0.5423593\n",
            "1.667756 0.54229355\n",
            "1.6679739 0.54230356\n",
            "1.6681918 0.5422596\n",
            "1.6684096 0.5423019\n",
            "1.6686275 0.5422581\n",
            "1.6688453 0.5422036\n",
            "1.6690632 0.5421493\n",
            "1.669281 0.5420951\n",
            "1.6694989 0.5419876\n",
            "1.6697168 0.542094\n",
            "1.6699346 0.54209346\n",
            "1.6701525 0.54212487\n",
            "1.6703703 0.5421562\n",
            "1.6705883 0.54212373\n",
            "1.6708062 0.54215497\n",
            "1.671024 0.54214376\n",
            "1.6712419 0.54203725\n",
            "1.6714597 0.5419945\n",
            "1.6716776 0.54200464\n",
            "1.6718954 0.5421414\n",
            "1.6721133 0.54204595\n",
            "1.6723312 0.54205596\n",
            "1.672549 0.5420765\n",
            "1.6727669 0.5419815\n",
            "1.6729847 0.54205453\n",
            "1.6732026 0.54200166\n",
            "1.6734205 0.54201174\n",
            "1.6736383 0.54200083\n",
            "1.6738563 0.5420734\n",
            "1.674074 0.5420625\n",
            "1.674292 0.5420932\n",
            "1.6745098 0.54201996\n",
            "1.6747277 0.54199874\n",
            "1.6749456 0.5418843\n",
            "1.6751634 0.5417495\n",
            "1.6753813 0.5418011\n",
            "1.6755991 0.5418835\n",
            "1.675817 0.54189354\n",
            "1.6760349 0.5418212\n",
            "1.6762527 0.54186213\n",
            "1.6764706 0.5417283\n",
            "1.6766884 0.5416359\n",
            "1.6769063 0.5416154\n",
            "1.6771241 0.541595\n",
            "1.677342 0.5416769\n",
            "1.67756 0.5417177\n",
            "1.6777778 0.54180944\n",
            "1.6779957 0.5417991\n",
            "1.6782135 0.5416565\n",
            "1.6784314 0.54163617\n",
            "1.6786493 0.54159564\n",
            "1.6788671 0.54155517\n",
            "1.679085 0.54149455\n",
            "1.6793028 0.5414745\n",
            "1.6795207 0.54145455\n",
            "1.6797385 0.5414245\n",
            "1.6799564 0.5413543\n",
            "1.6801744 0.54127413\n",
            "1.6803921 0.5411942\n",
            "1.6806101 0.54110444\n",
            "1.6808279 0.5411853\n",
            "1.6810458 0.541236\n",
            "1.6812637 0.5412665\n",
            "1.6814815 0.541217\n",
            "1.6816994 0.5413473\n",
            "1.6819172 0.54129785\n",
            "1.6821351 0.5412485\n",
            "1.6823529 0.54109985\n",
            "1.6825708 0.54108065\n",
            "1.6827887 0.54113096\n",
            "1.6830065 0.5411316\n",
            "1.6832244 0.54120153\n",
            "1.6834422 0.54106367\n",
            "1.6836601 0.5409656\n",
            "1.6838781 0.54083824\n",
            "1.6840959 0.5408195\n",
            "1.6843138 0.54080087\n",
            "1.6845316 0.54075277\n",
            "1.6847495 0.54064584\n",
            "1.6849673 0.54064703\n",
            "1.6851852 0.5404916\n",
            "1.6854031 0.5404049\n",
            "1.6856209 0.54038686\n",
            "1.6858388 0.5403981\n",
            "1.6860566 0.5404386\n",
            "1.6862745 0.54044\n",
            "1.6864924 0.5404901\n",
            "1.6867102 0.5405594\n",
            "1.6869282 0.54060924\n",
            "1.687146 0.5405814\n",
            "1.6873639 0.54043746\n",
            "1.6875817 0.5404099\n",
            "1.6877996 0.54041135\n",
            "1.6880175 0.54031634\n",
            "1.6882353 0.5402216\n",
            "1.6884532 0.5401559\n",
            "1.688671 0.5401\n",
            "1.6888889 0.53997695\n",
            "1.6891068 0.5399693\n",
            "1.6893246 0.5399808\n",
            "1.6895425 0.5400402\n",
            "1.6897603 0.5400994\n",
            "1.6899782 0.540168\n",
            "1.690196 0.5401888\n",
            "1.690414 0.54022855\n",
            "1.6906319 0.54025877\n",
            "1.6908497 0.54017484\n",
            "1.6910676 0.5401386\n",
            "1.6912854 0.5400455\n",
            "1.6915033 0.53995264\n",
            "1.6917212 0.5399641\n",
            "1.691939 0.53997546\n",
            "1.6921569 0.5399774\n",
            "1.6923747 0.54000753\n",
            "1.6925926 0.5400283\n",
            "1.6928104 0.53991723\n",
            "1.6930283 0.5399004\n",
            "1.6932462 0.5398461\n",
            "1.693464 0.5398763\n",
            "1.693682 0.5397472\n",
            "1.6938998 0.5397587\n",
            "1.6941177 0.5398169\n",
            "1.6943356 0.5398376\n",
            "1.6945534 0.5397931\n",
            "1.6947713 0.53979516\n",
            "1.6949891 0.53980654\n",
            "1.695207 0.5397622\n",
            "1.6954248 0.53965294\n",
            "1.6956427 0.53951615\n",
            "1.6958606 0.53950924\n",
            "1.6960784 0.5394562\n",
            "1.6962963 0.5394494\n",
            "1.6965141 0.5393872\n",
            "1.696732 0.5393897\n",
            "1.69695 0.5393278\n",
            "1.6971678 0.5392292\n",
            "1.6973857 0.5392411\n",
            "1.6976035 0.5392254\n",
            "1.6978214 0.5392831\n",
            "1.6980392 0.5392949\n",
            "1.6982571 0.53933406\n",
            "1.698475 0.53925437\n",
            "1.6986928 0.5392935\n",
            "1.6989107 0.5392688\n",
            "1.6991285 0.5391712\n",
            "1.6993464 0.53914666\n",
            "1.6995643 0.539213\n",
            "1.6997821 0.53923386\n",
            "1.7 0.53924555\n",
            "1.7002178 0.53932065\n",
            "1.7004358 0.5393413\n",
            "1.7006536 0.5393619\n",
            "1.7008715 0.53938246\n",
            "1.7010894 0.5393218\n",
            "1.7013072 0.5392613\n",
            "1.7015251 0.53929085\n",
            "1.7017429 0.53937435\n",
            "1.7019608 0.5393229\n",
            "1.7021787 0.5392806\n",
            "1.7023965 0.5392025\n",
            "1.7026144 0.5391246\n",
            "1.7028322 0.53901106\n",
            "1.7030501 0.5389157\n",
            "1.7032679 0.5389008\n",
            "1.7034858 0.5389483\n",
            "1.7037038 0.5389779\n",
            "1.7039216 0.5389808\n",
            "1.7041395 0.53888595\n",
            "1.7043573 0.53887117\n",
            "1.7045752 0.5388564\n",
            "1.7047931 0.5387974\n",
            "1.7050109 0.5387208\n",
            "1.7052288 0.5386621\n",
            "1.7054466 0.5387182\n",
            "1.7056645 0.5387478\n",
            "1.7058823 0.53874207\n",
            "1.7061002 0.5388508\n",
            "1.7063181 0.5388537\n",
            "1.7065359 0.5389094\n",
            "1.7067538 0.53878945\n",
            "1.7069716 0.5387662\n",
            "1.7071896 0.5387605\n",
            "1.7074075 0.5387286\n",
            "1.7076253 0.53870547\n",
            "1.7078432 0.53867364\n",
            "1.708061 0.53860706\n",
            "1.7082789 0.5384622\n",
            "1.7084967 0.53843075\n",
            "1.7087146 0.5383907\n",
            "1.7089325 0.53831595\n",
            "1.7091503 0.53835416\n",
            "1.7093682 0.5383749\n",
            "1.709586 0.5384129\n",
            "1.7098039 0.53839904\n",
            "1.7100219 0.53822106\n",
            "1.7102396 0.5382333\n",
            "1.7104576 0.5381334\n",
            "1.7106754 0.5381026\n",
            "1.7108933 0.5380977\n",
            "1.7111111 0.5380498\n",
            "1.711329 0.53801066\n",
            "1.7115469 0.5380058\n",
            "1.7117647 0.5379925\n",
            "1.7119826 0.537885\n",
            "1.7122004 0.5378547\n",
            "1.7124183 0.5379013\n",
            "1.7126362 0.53789663\n",
            "1.712854 0.5378323\n",
            "1.713072 0.5378192\n",
            "1.7132897 0.53779763\n",
            "1.7135077 0.53777605\n",
            "1.7137254 0.53765273\n",
            "1.7139434 0.53765684\n",
            "1.7141613 0.53762704\n",
            "1.7143791 0.5375719\n",
            "1.714597 0.5375169\n",
            "1.7148148 0.5374029\n",
            "1.7150327 0.5373735\n",
            "1.7152506 0.5373441\n",
            "1.7154684 0.5373821\n",
            "1.7156863 0.53735286\n",
            "1.7159041 0.5373488\n",
            "1.716122 0.5373112\n",
            "1.7163398 0.53723174\n",
            "1.7165577 0.5371273\n",
            "1.7167757 0.53715694\n",
            "1.7169935 0.5371448\n",
            "1.7172114 0.5371159\n",
            "1.7174292 0.5370954\n",
            "1.7176471 0.5370917\n",
            "1.717865 0.5370546\n",
            "1.7180828 0.5370509\n",
            "1.7183007 0.53701395\n",
            "1.7185185 0.5370435\n",
            "1.7187364 0.5370149\n",
            "1.7189542 0.5369781\n",
            "1.7191721 0.5369166\n",
            "1.71939 0.53685516\n",
            "1.7196078 0.5367608\n",
            "1.7198257 0.5367574\n",
            "1.7200435 0.53679526\n",
            "1.7202615 0.5367671\n",
            "1.7204794 0.5367144\n",
            "1.7206972 0.5367768\n",
            "1.7209151 0.5367652\n",
            "1.7211329 0.536729\n",
            "1.7213508 0.53678304\n",
            "1.7215686 0.53669775\n",
            "1.7217865 0.5365718\n",
            "1.7220044 0.5365768\n",
            "1.7222222 0.53663075\n",
            "1.7224401 0.5365949\n",
            "1.7226579 0.53654283\n",
            "1.7228758 0.53643394\n",
            "1.7230937 0.5364309\n",
            "1.7233115 0.53638726\n",
            "1.7235295 0.53631127\n",
            "1.7237473 0.536284\n",
            "1.7239652 0.53628117\n",
            "1.724183 0.53626215\n",
            "1.7244009 0.5362997\n",
            "1.7246188 0.5362807\n",
            "1.7248366 0.5362859\n",
            "1.7250545 0.53635556\n",
            "1.7252723 0.53632045\n",
            "1.7254902 0.53630954\n",
            "1.7257081 0.5362183\n",
            "1.7259259 0.53623956\n",
            "1.7261438 0.536325\n",
            "1.7263616 0.5363622\n",
            "1.7265795 0.5363673\n",
            "1.7267973 0.5364363\n",
            "1.7270153 0.53643334\n",
            "1.7272332 0.5363745\n",
            "1.727451 0.5363238\n",
            "1.7276689 0.53628105\n",
            "1.7278867 0.5361907\n",
            "1.7281046 0.5362516\n",
            "1.7283225 0.5362885\n",
            "1.7285403 0.5362936\n",
            "1.7287582 0.5363067\n",
            "1.728976 0.5362088\n",
            "1.7291939 0.5361586\n",
            "1.7294117 0.53619546\n",
            "1.7296296 0.53618485\n",
            "1.7298476 0.53616637\n",
            "1.7300653 0.53613216\n",
            "1.7302833 0.536161\n",
            "1.730501 0.53615046\n",
            "1.730719 0.53617924\n",
            "1.7309369 0.53618443\n",
            "1.7311547 0.53618956\n",
            "1.7313726 0.5361634\n",
            "1.7315904 0.53612155\n",
            "1.7318083 0.5361111\n",
            "1.7320261 0.5361398\n",
            "1.732244 0.536145\n",
            "1.7324619 0.5361735\n",
            "1.7326797 0.5361475\n",
            "1.7328976 0.53606695\n",
            "1.7331154 0.5361033\n",
            "1.7333333 0.5360463\n",
            "1.7335513 0.5360749\n",
            "1.733769 0.53604126\n",
            "1.733987 0.53608525\n",
            "1.7342048 0.5361524\n",
            "1.7344227 0.536204\n",
            "1.7346405 0.53620905\n",
            "1.7348584 0.536245\n",
            "1.7350763 0.5362963\n",
            "1.7352941 0.5363398\n",
            "1.735512 0.5363755\n",
            "1.7357298 0.5364189\n",
            "1.7359477 0.5364007\n",
            "1.7361656 0.5363748\n",
            "1.7363834 0.536372\n",
            "1.7366014 0.53628486\n",
            "1.7368191 0.5362975\n",
            "1.7370371 0.5362642\n",
            "1.7372549 0.53631496\n",
            "1.7374728 0.5363122\n",
            "1.7376907 0.53628665\n",
            "1.7379085 0.5363297\n",
            "1.7381264 0.5362965\n",
            "1.7383442 0.5362862\n",
            "1.7385621 0.5361846\n",
            "1.73878 0.53616685\n",
            "1.7389978 0.5361339\n",
            "1.7392157 0.5360934\n",
            "1.7394335 0.5360758\n",
            "1.7396514 0.53600514\n",
            "1.7398692 0.53595734\n",
            "1.7400872 0.535887\n",
            "1.7403051 0.53584695\n",
            "1.7405229 0.53582203\n",
            "1.7407408 0.5357821\n",
            "1.7409586 0.5357121\n",
            "1.7411765 0.53567237\n",
            "1.7413944 0.53561014\n",
            "1.7416122 0.5354805\n",
            "1.7418301 0.53536606\n",
            "1.7420479 0.5353642\n",
            "1.7422658 0.53536236\n",
            "1.7424836 0.5352858\n",
            "1.7427015 0.5352616\n",
            "1.7429194 0.5351777\n",
            "1.7431372 0.53507906\n",
            "1.7433552 0.5349806\n",
            "1.743573 0.5348972\n",
            "1.7437909 0.5348363\n",
            "1.7440088 0.53480524\n",
            "1.7442266 0.5348039\n",
            "1.7444445 0.53479517\n",
            "1.7446623 0.5348013\n",
            "1.7448802 0.53474814\n",
            "1.745098 0.5347395\n",
            "1.7453159 0.5346569\n",
            "1.7455338 0.53458184\n",
            "1.7457516 0.5345291\n",
            "1.7459695 0.5345133\n",
            "1.7461873 0.53444594\n",
            "1.7464052 0.53440076\n",
            "1.7466232 0.53427476\n",
            "1.746841 0.53421515\n",
            "1.7470589 0.5341924\n",
            "1.7472767 0.5342063\n",
            "1.7474946 0.5341396\n",
            "1.7477124 0.5341608\n",
            "1.7479303 0.5341089\n",
            "1.7481482 0.5341228\n",
            "1.748366 0.53402716\n",
            "1.7485839 0.53398275\n",
            "1.7488017 0.5340041\n",
            "1.7490196 0.5340399\n",
            "1.7492375 0.5340902\n",
            "1.7494553 0.53414774\n",
            "1.7496732 0.53416157\n",
            "1.749891 0.5341899\n",
            "1.750109 0.53418916\n",
            "1.7503268 0.5342246\n",
            "1.7505447 0.5341732\n",
            "1.7507626 0.534158\n",
            "1.7509804 0.53412837\n",
            "1.7511983 0.53414935\n",
            "1.7514161 0.53414863\n",
            "1.751634 0.5341407\n",
            "1.7518519 0.5341256\n",
            "1.7520697 0.53405297\n",
            "1.7522876 0.53406674\n",
            "1.7525054 0.53412354\n",
            "1.7527233 0.5341229\n",
            "1.7529411 0.5341867\n",
            "1.753159 0.5342505\n",
            "1.753377 0.534264\n",
            "1.7535948 0.5342704\n",
            "1.7538127 0.5343125\n",
            "1.7540305 0.5343616\n",
            "1.7542484 0.5343536\n",
            "1.7544663 0.5343527\n",
            "1.7546841 0.53431624\n",
            "1.754902 0.53429407\n",
            "1.7551198 0.5342364\n",
            "1.7553377 0.5342356\n",
            "1.7555555 0.5341709\n",
            "1.7557734 0.5341702\n",
            "1.7559913 0.5341695\n",
            "1.7562091 0.5342608\n",
            "1.756427 0.5343025\n",
            "1.7566448 0.53432995\n",
            "1.7568628 0.53434324\n",
            "1.7570807 0.5344059\n",
            "1.7572985 0.5344332\n",
            "1.7575164 0.5343759\n",
            "1.7577342 0.5343891\n",
            "1.7579521 0.5344585\n",
            "1.7581699 0.53447163\n",
            "1.7583878 0.5344356\n",
            "1.7586057 0.5344346\n",
            "1.7588235 0.53441966\n",
            "1.7590414 0.53443277\n",
            "1.7592592 0.53438985\n",
            "1.7594771 0.534396\n",
            "1.759695 0.5343741\n",
            "1.7599128 0.5344151\n",
            "1.7601308 0.5344491\n",
            "1.7603486 0.53449696\n",
            "1.7605665 0.53449595\n",
            "1.7607843 0.534495\n",
            "1.7610022 0.53450096\n",
            "1.7612201 0.5344375\n",
            "1.7614379 0.53448516\n",
            "1.7616558 0.5344911\n",
            "1.7618736 0.53451097\n",
            "1.7620915 0.5345653\n",
            "1.7623094 0.534509\n",
            "1.7625272 0.53441817\n",
            "1.7627451 0.5344311\n",
            "1.7629629 0.5344233\n",
            "1.7631809 0.5344017\n",
            "1.7633986 0.53444904\n",
            "1.7636166 0.53448254\n",
            "1.7638345 0.5345572\n",
            "1.7640523 0.5345974\n",
            "1.7642702 0.53457576\n",
            "1.764488 0.5345953\n",
            "1.7647059 0.53457373\n",
            "1.7649238 0.53453165\n",
            "1.7651416 0.5345717\n",
            "1.7653595 0.53460485\n",
            "1.7655773 0.534638\n",
            "1.7657952 0.53465056\n",
            "1.766013 0.5346904\n",
            "1.766231 0.534662\n",
            "1.7664489 0.53455204\n",
            "1.7666667 0.5345238\n",
            "1.7668846 0.5345432\n",
            "1.7671024 0.5345151\n",
            "1.7673203 0.53445303\n",
            "1.7675382 0.53445214\n",
            "1.767756 0.53449863\n",
            "1.7679739 0.5345112\n",
            "1.7681917 0.5344697\n",
            "1.7684096 0.53444177\n",
            "1.7686274 0.53439355\n",
            "1.7688453 0.534332\n",
            "1.7690632 0.5343851\n",
            "1.769281 0.53434384\n",
            "1.769499 0.5343094\n",
            "1.7697167 0.5343019\n",
            "1.7699347 0.53422046\n",
            "1.7701526 0.5341861\n",
            "1.7703704 0.5341452\n",
            "1.7705883 0.53412443\n",
            "1.7708061 0.5341305\n",
            "1.771024 0.53414994\n",
            "1.7712418 0.5341292\n",
            "1.7714597 0.5340885\n",
            "1.7716776 0.5341079\n",
            "1.7718954 0.5340406\n",
            "1.7721133 0.5340267\n",
            "1.7723311 0.5339928\n",
            "1.772549 0.5340455\n",
            "1.772767 0.5340649\n",
            "1.7729847 0.5340577\n",
            "1.7732027 0.5341036\n",
            "1.7734205 0.53405654\n",
            "1.7736384 0.53406924\n",
            "1.7738562 0.5340819\n",
            "1.7740741 0.53410774\n",
            "1.774292 0.53406084\n",
            "1.7745098 0.5340933\n",
            "1.7747277 0.53414553\n",
            "1.7749455 0.5341713\n",
            "1.7751634 0.5341442\n",
            "1.7753813 0.53411067\n",
            "1.7755991 0.53407717\n",
            "1.775817 0.5340634\n",
            "1.7760348 0.5340037\n",
            "1.7762527 0.53396374\n",
            "1.7764705 0.5339698\n",
            "1.7766885 0.5339431\n",
            "1.7769064 0.5339557\n",
            "1.7771242 0.5339356\n",
            "1.7773421 0.5339024\n",
            "1.7775599 0.533902\n",
            "1.7777778 0.53381664\n",
            "1.7779957 0.533764\n",
            "1.7782135 0.5337376\n",
            "1.7784314 0.5337829\n",
            "1.7786492 0.53378254\n",
            "1.7788671 0.5337497\n",
            "1.7790849 0.53371036\n",
            "1.7793028 0.53371006\n",
            "1.7795208 0.53365785\n",
            "1.7797385 0.5336316\n",
            "1.7799565 0.53362495\n",
            "1.7801743 0.5336053\n",
            "1.7803922 0.53361154\n",
            "1.7806101 0.533579\n",
            "1.7808279 0.53350127\n",
            "1.7810458 0.5334689\n",
            "1.7812636 0.53346235\n",
            "1.7814815 0.5334365\n",
            "1.7816993 0.53346854\n",
            "1.7819172 0.5335135\n",
            "1.7821351 0.5335005\n",
            "1.7823529 0.53349394\n",
            "1.7825708 0.53352594\n",
            "1.7827886 0.53352576\n",
            "1.7830065 0.5334744\n",
            "1.7832245 0.5334166\n",
            "1.7834423 0.53335893\n",
            "1.7836602 0.5333973\n",
            "1.783878 0.53344834\n",
            "1.7840959 0.5334802\n",
            "1.7843137 0.53346735\n",
            "1.7845316 0.5334736\n",
            "1.7847495 0.5334353\n",
            "1.7849673 0.53339064\n",
            "1.7851852 0.53336513\n",
            "1.785403 0.5333969\n",
            "1.7856209 0.53339684\n",
            "1.7858388 0.533492\n",
            "1.7860566 0.5334475\n",
            "1.7862746 0.53339034\n",
            "1.7864923 0.53339034\n",
            "1.7867103 0.53331435\n",
            "1.786928 0.5332701\n",
            "1.787146 0.53332704\n",
            "1.7873639 0.53333336\n",
            "1.7875817 0.53333336\n",
            "1.7877996 0.53333336\n",
            "1.7880174 0.5333774\n",
            "1.7882353 0.5333963\n",
            "1.7884532 0.5333207\n",
            "1.788671 0.53331447\n",
            "1.7888889 0.53335845\n",
            "1.7891067 0.5333459\n",
            "1.7893246 0.5332769\n",
            "1.7895424 0.53327066\n",
            "1.7897604 0.5332895\n",
            "1.7899783 0.53330207\n",
            "1.7901961 0.5333083\n",
            "1.790414 0.53329587\n",
            "1.7906318 0.5333021\n",
            "1.7908497 0.53332084\n",
            "1.7910676 0.5334206\n",
            "1.7912854 0.5334828\n",
            "1.7915033 0.5334703\n",
            "1.7917211 0.53343284\n",
            "1.791939 0.5334203\n",
            "1.7921568 0.5333954\n",
            "1.7923747 0.53335816\n",
            "1.7925926 0.53338295\n",
            "1.7928104 0.5333829\n",
            "1.7930284 0.5333705\n",
            "1.7932462 0.5333643\n",
            "1.7934641 0.53331476\n",
            "1.793682 0.53327775\n",
            "1.7938998 0.5332654\n",
            "1.7941177 0.53325933\n",
            "1.7943355 0.5332902\n",
            "1.7945534 0.5333149\n",
            "1.7947712 0.5333518\n",
            "1.7949891 0.5333149\n",
            "1.795207 0.53337634\n",
            "1.7954248 0.5333518\n",
            "1.7956427 0.5333456\n",
            "1.7958605 0.53333336\n",
            "1.7960784 0.5333027\n",
            "1.7962964 0.53330886\n",
            "1.7965142 0.53330886\n",
            "1.7967321 0.5333456\n",
            "1.7969499 0.53335166\n",
            "1.7971678 0.5333089\n",
            "1.7973856 0.533254\n",
            "1.7976035 0.5332358\n",
            "1.7978214 0.5332054\n",
            "1.7980392 0.5332603\n",
            "1.7982571 0.53328466\n",
            "1.7984749 0.5333151\n",
            "1.7986928 0.53330904\n",
            "1.7989107 0.53335154\n",
            "1.7991285 0.5333273\n",
            "1.7993464 0.53329694\n",
            "1.7995642 0.53327274\n",
            "1.7997822 0.5333212\n",
            "1.8 0.5333273\n",
            "1.8002179 0.53329104\n",
            "1.8004358 0.5332669\n",
            "1.8006536 0.5332307\n",
            "1.8008715 0.5332067\n",
            "1.8010893 0.53317064\n",
            "1.8013072 0.53313464\n",
            "1.8015251 0.53311074\n",
            "1.8017429 0.5331169\n",
            "1.8019608 0.53306895\n",
            "1.8021786 0.53305113\n",
            "1.8023965 0.53309935\n",
            "1.8026143 0.5330755\n",
            "1.8028322 0.5330997\n",
            "1.8030502 0.5331358\n",
            "1.803268 0.5331419\n",
            "1.8034859 0.533154\n",
            "1.8037037 0.5331302\n",
            "1.8039216 0.53316617\n",
            "1.8041395 0.53318423\n",
            "1.8043573 0.5331962\n",
            "1.8045752 0.5332321\n",
            "1.804793 0.5332798\n",
            "1.8050109 0.5333095\n",
            "1.8052287 0.5332085\n",
            "1.8054466 0.5331908\n",
            "1.8056645 0.533179\n",
            "1.8058823 0.53319097\n",
            "1.8061002 0.53313774\n",
            "1.806318 0.53312606\n",
            "1.806536 0.5331321\n",
            "1.8067539 0.53313816\n",
            "1.8069717 0.53314424\n",
            "1.8071896 0.53318566\n",
            "1.8074074 0.5332153\n",
            "1.8076253 0.5332213\n",
            "1.8078431 0.53320366\n",
            "1.808061 0.5331508\n",
            "1.8082789 0.53315675\n",
            "1.8084967 0.53319806\n",
            "1.8087146 0.5331923\n",
            "1.8089324 0.53320414\n",
            "1.8091503 0.53325117\n",
            "1.8093683 0.5332747\n",
            "1.809586 0.5332571\n",
            "1.809804 0.5332982\n",
            "1.8100218 0.5332514\n",
            "1.8102397 0.53319883\n",
            "1.8104575 0.5332457\n",
            "1.8106754 0.5332574\n",
            "1.8108933 0.53330415\n",
            "1.8111111 0.53330415\n",
            "1.811329 0.5333042\n",
            "1.8115468 0.5332809\n",
            "1.8117647 0.53326935\n",
            "1.8119826 0.53322285\n",
            "1.8122004 0.53321713\n",
            "1.8124183 0.5331998\n",
            "1.8126361 0.53321725\n",
            "1.812854 0.5332521\n",
            "1.8130718 0.5332696\n",
            "1.8132898 0.5332986\n",
            "1.8135077 0.53332174\n",
            "1.8137255 0.5332986\n",
            "1.8139434 0.5332987\n",
            "1.8141612 0.53325826\n",
            "1.8143791 0.533241\n",
            "1.814597 0.5332353\n",
            "1.8148148 0.5332123\n",
            "1.8150327 0.53320664\n",
            "1.8152505 0.53322977\n",
            "1.8154684 0.53322405\n",
            "1.8156862 0.5332184\n",
            "1.8159041 0.53316677\n",
            "1.816122 0.5332243\n",
            "1.8163399 0.5332301\n",
            "1.8165578 0.5332531\n",
            "1.8167756 0.5332818\n",
            "1.8169935 0.5332818\n",
            "1.8172114 0.5332132\n",
            "1.8174292 0.5331733\n",
            "1.8176471 0.5331963\n",
            "1.8178649 0.5332135\n",
            "1.8180828 0.5332022\n",
            "1.8183006 0.53326494\n",
            "1.8185185 0.53328776\n",
            "1.8187364 0.5332309\n",
            "1.8189542 0.5332708\n",
            "1.8191721 0.5332992\n",
            "1.8193899 0.5332822\n",
            "1.8196079 0.5332709\n",
            "1.8198258 0.53326523\n",
            "1.8200436 0.5332653\n",
            "1.8202615 0.5333163\n",
            "1.8204793 0.53332204\n",
            "1.8206972 0.53332204\n",
            "1.820915 0.5333673\n",
            "1.8211329 0.53341806\n",
            "1.8213508 0.53344625\n",
            "1.8215686 0.5334518\n",
            "1.8217865 0.5334292\n",
            "1.8220043 0.53343475\n",
            "1.8222222 0.5333671\n",
            "1.8224401 0.53337836\n",
            "1.822658 0.53336143\n",
            "1.8228759 0.53336143\n",
            "1.8230937 0.5334007\n",
            "1.8233116 0.5334624\n",
            "1.8235294 0.53349596\n",
            "1.8237473 0.53350145\n",
            "1.8239652 0.53354615\n",
            "1.824183 0.53347325\n",
            "1.8244009 0.533462\n",
            "1.8246187 0.53341717\n",
            "1.8248366 0.53336686\n",
            "1.8250545 0.5333724\n",
            "1.8252723 0.53341144\n",
            "1.8254902 0.53339463\n",
            "1.825708 0.53333336\n",
            "1.825926 0.53328323\n",
            "1.8261437 0.53327215\n",
            "1.8263617 0.5332388\n",
            "1.8265796 0.5332111\n",
            "1.8267974 0.53323895\n",
            "1.8270153 0.5332501\n",
            "1.8272331 0.53330004\n",
            "1.827451 0.5333721\n",
            "1.8276689 0.53336656\n",
            "1.8278867 0.53338313\n",
            "1.8281046 0.53337204\n",
            "1.8283224 0.53337204\n",
            "1.8285403 0.53336096\n",
            "1.8287581 0.533372\n",
            "1.828976 0.5333499\n",
            "1.829194 0.5333609\n",
            "1.8294117 0.5333443\n",
            "1.8296297 0.5333058\n",
            "1.8298475 0.53327835\n",
            "1.8300654 0.5332454\n",
            "1.8302833 0.5332839\n",
            "1.8305011 0.5333059\n",
            "1.830719 0.5333608\n",
            "1.8309368 0.5333662\n",
            "1.8311547 0.53335524\n",
            "1.8313725 0.5333279\n",
            "1.8315904 0.53328407\n",
            "1.8318083 0.5332294\n",
            "1.8320261 0.5332896\n",
            "1.832244 0.5332951\n",
            "1.8324618 0.5333497\n",
            "1.8326797 0.5333933\n",
            "1.8328977 0.5334314\n",
            "1.8331155 0.53343135\n",
            "1.8333334 0.5333878\n",
            "1.8335512 0.53334963\n",
            "1.8337691 0.53332245\n",
            "1.8339869 0.5333659\n",
            "1.8342048 0.53335506\n",
            "1.8344227 0.5333605\n",
            "1.8346405 0.53334415\n",
            "1.8348584 0.5332954\n",
            "1.8350762 0.53329545\n",
            "1.8352941 0.53323054\n",
            "1.835512 0.53320897\n",
            "1.8357298 0.53321445\n",
            "1.8359478 0.5332577\n",
            "1.8361655 0.53327394\n",
            "1.8363835 0.53331715\n",
            "1.8366013 0.5332525\n",
            "1.8368192 0.53327405\n",
            "1.8370371 0.5332849\n",
            "1.8372549 0.5332742\n",
            "1.8374728 0.5332581\n",
            "1.8376906 0.53324735\n",
            "1.8379085 0.533285\n",
            "1.8381264 0.5333065\n",
            "1.8383442 0.533328\n",
            "1.8385621 0.5333601\n",
            "1.8387799 0.53332263\n",
            "1.8389978 0.5333119\n",
            "1.8392156 0.53329587\n",
            "1.8394336 0.5332959\n",
            "1.8396515 0.5332746\n",
            "1.8398693 0.53322655\n",
            "1.8400872 0.5332266\n",
            "1.840305 0.53318405\n",
            "1.8405229 0.5331735\n",
            "1.8407408 0.53316826\n",
            "1.8409586 0.5331418\n",
            "1.8411765 0.53312594\n",
            "1.8413943 0.5330623\n",
            "1.8416122 0.53306776\n",
            "1.84183 0.53307855\n",
            "1.8420479 0.5330734\n",
            "1.8422658 0.533063\n",
            "1.8424836 0.53310025\n",
            "1.8427016 0.5330845\n",
            "1.8429193 0.5330476\n",
            "1.8431373 0.5330161\n",
            "1.8433552 0.5330004\n",
            "1.843573 0.5330112\n",
            "1.8437909 0.5330431\n",
            "1.8440087 0.53304327\n",
            "1.8442266 0.5330329\n",
            "1.8444444 0.5329857\n",
            "1.8446623 0.5329701\n",
            "1.8448802 0.53291243\n",
            "1.845098 0.5328812\n",
            "1.8453159 0.532892\n",
            "1.8455337 0.532908\n",
            "1.8457516 0.53287154\n",
            "1.8459696 0.5328194\n",
            "1.8461874 0.5327673\n",
            "1.8464053 0.532731\n",
            "1.8466231 0.53271043\n",
            "1.846841 0.53267944\n",
            "1.8470588 0.5327008\n",
            "1.8472767 0.5327064\n",
            "1.8474946 0.53273284\n",
            "1.8477124 0.5327541\n",
            "1.8479303 0.53272843\n",
            "1.8481481 0.5327444\n",
            "1.848366 0.5326979\n",
            "1.8485839 0.5326671\n",
            "1.8488017 0.5326623\n",
            "1.8490196 0.53264713\n",
            "1.8492374 0.53263193\n",
            "1.8494554 0.5326168\n",
            "1.8496732 0.53265876\n",
            "1.8498911 0.5326488\n",
            "1.850109 0.5326337\n",
            "1.8503268 0.5326186\n",
            "1.8505447 0.53256726\n",
            "1.8507625 0.5325626\n",
            "1.8509804 0.53253204\n",
            "1.8511983 0.5324912\n",
            "1.8514161 0.5324556\n",
            "1.851634 0.53242517\n",
            "1.8518518 0.53242576\n",
            "1.8520697 0.5324469\n",
            "1.8522875 0.5324166\n",
            "1.8525054 0.53244287\n",
            "1.8527234 0.53242797\n",
            "1.8529412 0.5324594\n",
            "1.8531591 0.53241366\n",
            "1.8533769 0.53240913\n",
            "1.8535948 0.5323789\n",
            "1.8538127 0.53234357\n",
            "1.8540305 0.53231347\n",
            "1.8542484 0.5322475\n",
            "1.8544662 0.5321765\n",
            "1.8546841 0.53212094\n",
            "1.8549019 0.5320706\n",
            "1.8551198 0.532056\n",
            "1.8553377 0.53211296\n",
            "1.8555555 0.5321188\n",
            "1.8557734 0.53213483\n",
            "1.8559912 0.5321203\n",
            "1.8562092 0.532121\n",
            "1.8564271 0.53207594\n",
            "1.8566449 0.53205127\n",
            "1.8568628 0.5320216\n",
            "1.8570806 0.5320427\n",
            "1.8572985 0.53199774\n",
            "1.8575163 0.53200364\n",
            "1.8577342 0.531974\n",
            "1.8579521 0.5319394\n",
            "1.8581699 0.53190476\n",
            "1.8583878 0.5318854\n",
            "1.8586056 0.53186095\n",
            "1.8588235 0.5318922\n",
            "1.8590415 0.53188294\n",
            "1.8592592 0.5319091\n",
            "1.8594772 0.53188974\n",
            "1.859695 0.5318755\n",
            "1.8599129 0.53182596\n",
            "1.8601307 0.5318067\n",
            "1.8603486 0.5318278\n",
            "1.8605665 0.5318388\n",
            "1.8607843 0.5318447\n",
            "1.8610022 0.53184056\n",
            "1.86122 0.53186154\n",
            "1.8614379 0.53181225\n",
            "1.8616558 0.531763\n",
            "1.8618736 0.5317088\n",
            "1.8620915 0.5316747\n",
            "1.8623093 0.53161055\n",
            "1.8625273 0.53162163\n",
            "1.862745 0.5316527\n",
            "1.862963 0.5316787\n",
            "1.8631809 0.53168964\n",
            "1.8633987 0.5317006\n",
            "1.8636166 0.53168166\n",
            "1.8638344 0.5315779\n",
            "1.8640523 0.531569\n",
            "1.8642702 0.53153515\n",
            "1.864488 0.5314815\n",
            "1.8647059 0.53142786\n",
            "1.8649237 0.5313693\n",
            "1.8651416 0.5313208\n",
            "1.8653594 0.53132695\n",
            "1.8655773 0.53134805\n",
            "1.8657953 0.53130955\n",
            "1.866013 0.53125125\n",
            "1.866231 0.53120786\n",
            "1.8664488 0.5312092\n",
            "1.8666667 0.53114116\n",
            "1.8668846 0.5311226\n",
            "1.8671024 0.5310597\n",
            "1.8673203 0.53099686\n",
            "1.8675381 0.5309834\n",
            "1.867756 0.5309552\n",
            "1.8679738 0.53089744\n",
            "1.8681917 0.53086436\n",
            "1.8684096 0.53086585\n",
            "1.8686274 0.5308771\n",
            "1.8688453 0.53085893\n",
            "1.8690631 0.5308112\n",
            "1.869281 0.5308176\n",
            "1.869499 0.530824\n",
            "1.8697168 0.53081566\n",
            "1.8699347 0.5308024\n",
            "1.8701525 0.53083825\n",
            "1.8703704 0.5308103\n",
            "1.8705882 0.5308314\n",
            "1.8708061 0.5307986\n",
            "1.871024 0.53076094\n",
            "1.8712418 0.5307478\n",
            "1.8714597 0.5307249\n",
            "1.8716775 0.5307069\n",
            "1.8718954 0.53069866\n",
            "1.8721133 0.53067094\n",
            "1.8723311 0.53068715\n",
            "1.872549 0.5307179\n",
            "1.8727669 0.5307535\n",
            "1.8729848 0.53073066\n",
            "1.8732026 0.5307176\n",
            "1.8734205 0.5306754\n",
            "1.8736384 0.530643\n",
            "1.8738562 0.53064454\n",
            "1.8740741 0.53068006\n",
            "1.8742919 0.53066707\n",
            "1.8745098 0.53064924\n",
            "1.8747277 0.5306217\n",
            "1.8749455 0.5306136\n",
            "1.8751634 0.530591\n",
            "1.8753812 0.5305104\n",
            "1.8755991 0.5304976\n",
            "1.875817 0.53048956\n",
            "1.8760349 0.53049606\n",
            "1.8762528 0.53048325\n",
            "1.8764706 0.5304752\n",
            "1.8766885 0.53051543\n",
            "1.8769063 0.5305026\n",
            "1.8771242 0.53046095\n",
            "1.8773421 0.53044814\n",
            "1.8775599 0.5304306\n",
            "1.8777778 0.5304227\n",
            "1.8779956 0.5303667\n",
            "1.8782135 0.53037804\n",
            "1.8784313 0.53035575\n",
            "1.8786492 0.5302904\n",
            "1.8788671 0.5302874\n",
            "1.879085 0.5303035\n",
            "1.8793029 0.53030044\n",
            "1.8795207 0.5302878\n",
            "1.8797386 0.5302561\n",
            "1.8799565 0.5302531\n",
            "1.8801743 0.5302024\n",
            "1.8803922 0.53015167\n",
            "1.88061 0.5301678\n",
            "1.8808279 0.53014106\n",
            "1.8810457 0.5301667\n",
            "1.8812636 0.5301399\n",
            "1.8814815 0.5301037\n",
            "1.8816993 0.53007704\n",
            "1.8819172 0.53006464\n",
            "1.882135 0.53\n",
            "1.882353 0.5300019\n",
            "1.8825709 0.5299991\n",
            "1.8827887 0.5300199\n",
            "1.8830066 0.53007865\n",
            "1.8832244 0.53005683\n",
            "1.8834423 0.5300587\n",
            "1.8836601 0.53003687\n",
            "1.883878 0.52996784\n",
            "1.8840959 0.52994615\n",
            "1.8843137 0.52999055\n",
            "1.8845316 0.52994996\n",
            "1.8847494 0.5299755\n",
            "1.8849673 0.5300009\n",
            "1.8851852 0.52996516\n",
            "1.885403 0.5299247\n",
            "1.885621 0.52987957\n",
            "1.8858387 0.52987677\n",
            "1.8860567 0.5298411\n",
            "1.8862745 0.5298525\n",
            "1.8864924 0.5298263\n",
            "1.8867103 0.5298048\n",
            "1.8869281 0.52978337\n",
            "1.887146 0.52975255\n",
            "1.8873638 0.5297171\n",
            "1.8875817 0.52977526\n",
            "1.8877996 0.52976793\n",
            "1.8880174 0.5297559\n",
            "1.8882353 0.5297392\n",
            "1.8884531 0.5297365\n",
            "1.888671 0.5297199\n",
            "1.8888888 0.5296846\n",
            "1.8891068 0.52963066\n",
            "1.8893247 0.5296514\n",
            "1.8895425 0.52966744\n",
            "1.8897604 0.5296322\n",
            "1.8899782 0.529611\n",
            "1.8901961 0.5295666\n",
            "1.890414 0.5295594\n",
            "1.8906318 0.5296033\n",
            "1.8908497 0.52960074\n",
            "1.8910675 0.5295982\n",
            "1.8912854 0.52960026\n",
            "1.8915032 0.52962554\n",
            "1.8917211 0.5296322\n",
            "1.891939 0.52962965\n",
            "1.8921568 0.52964556\n",
            "1.8923748 0.52961063\n",
            "1.8925925 0.5296312\n",
            "1.8928105 0.5296655\n",
            "1.8930284 0.5296722\n",
            "1.8932462 0.529665\n",
            "1.8934641 0.5296486\n",
            "1.8936819 0.52964604\n",
            "1.8938998 0.52962965\n",
            "1.8941176 0.5296455\n",
            "1.8943355 0.5296797\n",
            "1.8945534 0.5296956\n",
            "1.8947712 0.52968836\n",
            "1.8949891 0.52970874\n",
            "1.8952069 0.52971077\n",
            "1.8954248 0.5296944\n",
            "1.8956428 0.52963674\n",
            "1.8958606 0.5296159\n",
            "1.8960785 0.5296454\n",
            "1.8962963 0.52967036\n",
            "1.8965142 0.5296906\n",
            "1.896732 0.52970177\n",
            "1.8969499 0.5297129\n",
            "1.8971678 0.5297378\n",
            "1.8973856 0.52974886\n",
            "1.8976035 0.5297554\n",
            "1.8978213 0.52978015\n",
            "1.8980392 0.5298368\n",
            "1.8982571 0.52986604\n",
            "1.8984749 0.5298862\n",
            "1.8986928 0.5299108\n",
            "1.8989106 0.5299445\n",
            "1.8991286 0.52992815\n",
            "1.8993464 0.5298846\n",
            "1.8995643 0.52988195\n",
            "1.8997822 0.5298838\n",
            "1.9 0.5299356\n",
            "1.9002179 0.52992386\n",
            "1.9004357 0.5299574\n",
            "1.9006536 0.52997285\n",
            "1.9008715 0.5299656\n",
            "1.9010893 0.52995837\n",
            "1.9013072 0.52995116\n",
            "1.901525 0.52993494\n",
            "1.9017429 0.5299097\n",
            "1.9019607 0.52994764\n",
            "1.9021786 0.52991337\n",
            "1.9023966 0.52993774\n",
            "1.9026144 0.5299621\n",
            "1.9028323 0.5299775\n",
            "1.9030501 0.5299928\n",
            "1.903268 0.5299991\n",
            "1.9034859 0.5299874\n",
            "1.9037037 0.52994424\n",
            "1.9039216 0.5299641\n",
            "1.9041394 0.5299614\n",
            "1.9043573 0.5299587\n",
            "1.9045751 0.53001887\n",
            "1.904793 0.53003854\n",
            "1.9050109 0.53007615\n",
            "1.9052287 0.53006893\n",
            "1.9054466 0.5300528\n",
            "1.9056644 0.5300501\n",
            "1.9058824 0.5300385\n",
            "1.9061003 0.52999556\n",
            "1.9063181 0.5300375\n",
            "1.906536 0.5300661\n",
            "1.9067538 0.53005\n",
            "1.9069717 0.53004724\n",
            "1.9071895 0.5300401\n",
            "1.9074074 0.5300152\n",
            "1.9076253 0.5300125\n",
            "1.9078431 0.5300098\n",
            "1.908061 0.5300071\n",
            "1.9082788 0.5299822\n",
            "1.9084967 0.53000623\n",
            "1.9087147 0.530008\n",
            "1.9089324 0.53000087\n",
            "1.9091504 0.5299494\n",
            "1.9093682 0.52996457\n",
            "1.9095861 0.52996635\n",
            "1.9098039 0.52994156\n",
            "1.9100218 0.5299168\n",
            "1.9102397 0.5298744\n",
            "1.9104575 0.52986735\n",
            "1.9106754 0.5298648\n",
            "1.9108932 0.5298401\n",
            "1.9111111 0.52983755\n",
            "1.911329 0.52982616\n",
            "1.9115468 0.5298281\n",
            "1.9117647 0.529777\n",
            "1.9119825 0.5297745\n",
            "1.9122005 0.5297456\n",
            "1.9124182 0.529721\n",
            "1.9126362 0.52973616\n",
            "1.9128541 0.52974683\n",
            "1.9130719 0.5298014\n",
            "1.9132898 0.52983403\n",
            "1.9135076 0.5298359\n",
            "1.9137255 0.5298202\n",
            "1.9139434 0.5298001\n",
            "1.9141612 0.5298239\n",
            "1.9143791 0.5298564\n",
            "1.9145969 0.5298801\n",
            "1.9148148 0.52987754\n",
            "1.9150326 0.52987933\n",
            "1.9152505 0.52989423\n",
            "1.9154685 0.529848\n",
            "1.9156862 0.52981925\n",
            "1.9159042 0.5298429\n",
            "1.916122 0.52983165\n",
            "1.9163399 0.5298335\n",
            "1.9165578 0.52982664\n",
            "1.9167756 0.52978057\n",
            "1.9169935 0.529765\n",
            "1.9172113 0.5297712\n",
            "1.9174292 0.52974266\n",
            "1.917647 0.52974015\n",
            "1.9178649 0.5297985\n",
            "1.9180828 0.52983505\n",
            "1.9183006 0.5298716\n",
            "1.9185185 0.5298474\n",
            "1.9187363 0.5298579\n",
            "1.9189543 0.5298163\n",
            "1.9191722 0.5298009\n",
            "1.91939 0.5298157\n",
            "1.9196079 0.52982616\n",
            "1.9198257 0.52984524\n",
            "1.9200436 0.52986\n",
            "1.9202614 0.5298532\n",
            "1.9204793 0.5298766\n",
            "1.9206972 0.52983093\n",
            "1.920915 0.52980685\n",
            "1.9211329 0.5298259\n",
            "1.9213507 0.5298062\n",
            "1.9215686 0.5298037\n",
            "1.9217865 0.52983993\n",
            "1.9220043 0.52985466\n",
            "1.9222223 0.5298694\n",
            "1.92244 0.52984965\n",
            "1.922658 0.52983856\n",
            "1.9228758 0.5298232\n",
            "1.9230937 0.52980787\n",
            "1.9233116 0.52978826\n",
            "1.9235294 0.5297815\n",
            "1.9237473 0.5297876\n",
            "1.9239651 0.52980655\n",
            "1.924183 0.5298383\n",
            "1.9244009 0.5298059\n",
            "1.9246187 0.52977353\n",
            "1.9248366 0.5297753\n",
            "1.9250544 0.5297942\n",
            "1.9252723 0.52978325\n",
            "1.9254901 0.529768\n",
            "1.925708 0.5297272\n",
            "1.925926 0.5297035\n",
            "1.9261438 0.52969253\n",
            "1.9263617 0.52969444\n",
            "1.9265795 0.5297005\n",
            "1.9267974 0.5297151\n",
            "1.9270153 0.52969146\n",
            "1.9272331 0.52968484\n",
            "1.927451 0.52972066\n",
            "1.9276688 0.52967584\n",
            "1.9278867 0.5296947\n",
            "1.9281045 0.529688\n",
            "1.9283224 0.52971107\n",
            "1.9285403 0.5297256\n",
            "1.9287581 0.529719\n",
            "1.928976 0.52968276\n",
            "1.9291939 0.5296423\n",
            "1.9294118 0.52960616\n",
            "1.9296297 0.5296207\n",
            "1.9298475 0.5296226\n",
            "1.9300654 0.52960336\n",
            "1.9302832 0.5296179\n",
            "1.9305011 0.52960294\n",
            "1.9307189 0.5296006\n",
            "1.9309368 0.52958566\n",
            "1.9311547 0.5295623\n",
            "1.9313725 0.5295978\n",
            "1.9315904 0.5295829\n",
            "1.9318082 0.5295554\n",
            "1.9320261 0.5295489\n",
            "1.9322441 0.5295046\n",
            "1.9324619 0.5294562\n",
            "1.9326798 0.52947074\n",
            "1.9328976 0.5294517\n",
            "1.9331155 0.5294746\n",
            "1.9333333 0.5295184\n",
            "1.9335512 0.5295245\n",
            "1.9337691 0.5295139\n",
            "1.9339869 0.5295367\n",
            "1.9342048 0.5295303\n",
            "1.9344226 0.5295113\n",
            "1.9346405 0.52948815\n",
            "1.9348584 0.5294984\n",
            "1.9350762 0.52952117\n",
            "1.9352942 0.5294689\n",
            "1.935512 0.52947915\n",
            "1.9357299 0.5295061\n",
            "1.9359477 0.529483\n",
            "1.9361656 0.5295307\n",
            "1.9363835 0.5295534\n",
            "1.9366013 0.52958024\n",
            "1.9368192 0.529607\n",
            "1.937037 0.5296753\n",
            "1.9372549 0.5296647\n",
            "1.9374728 0.52971625\n",
            "1.9376906 0.5297015\n",
            "1.9379085 0.5297033\n",
            "1.9381263 0.52970093\n",
            "1.9383442 0.52974004\n",
            "1.938562 0.5297418\n",
            "1.93878 0.5297725\n",
            "1.9389979 0.5297412\n",
            "1.9392157 0.5297389\n",
            "1.9394336 0.52964157\n",
            "1.9396514 0.5295732\n",
            "1.9398693 0.529538\n",
            "1.9400872 0.5294615\n",
            "1.940305 0.5294469\n",
            "1.9405229 0.52938706\n",
            "1.9407407 0.52934784\n",
            "1.9409586 0.52928394\n",
            "1.9411764 0.5291955\n",
            "1.9413943 0.5291029\n",
            "1.9416122 0.52907217\n",
            "1.94183 0.52901673\n",
            "1.942048 0.5289368\n",
            "1.9422657 0.5288692\n",
            "1.9424837 0.5288181\n",
            "1.9427016 0.5287219\n",
            "1.9429194 0.5286586\n",
            "1.9431373 0.52864045\n",
            "1.9433551 0.52854043\n",
            "1.943573 0.5284323\n",
            "1.9437908 0.52840614\n",
            "1.9440087 0.52840036\n",
            "1.9442266 0.5283333\n",
            "1.9444444 0.52827454\n",
            "1.9446623 0.5282444\n",
            "1.9448801 0.5281571\n",
            "1.945098 0.5281189\n",
            "1.945316 0.52805215\n",
            "1.9455338 0.528014\n",
            "1.9457517 0.52798814\n",
            "1.9459695 0.52794594\n",
            "1.9461874 0.5278876\n",
            "1.9464052 0.5277845\n",
            "1.9466231 0.52771413\n",
            "1.946841 0.52770877\n",
            "1.9470588 0.52767086\n",
            "1.9472767 0.5276047\n",
            "1.9474945 0.52751017\n",
            "1.9477124 0.52737516\n",
            "1.9479303 0.52734566\n",
            "1.9481481 0.5272676\n",
            "1.948366 0.5271936\n",
            "1.9485838 0.52707523\n",
            "1.9488018 0.5269529\n",
            "1.9490196 0.5268025\n",
            "1.9492375 0.5267329\n",
            "1.9494554 0.52665937\n",
            "1.9496732 0.52657384\n",
            "1.9498911 0.526444\n",
            "1.9501089 0.5263022\n",
            "1.9503268 0.5261686\n",
            "1.9505447 0.52609956\n",
            "1.9507625 0.52603865\n",
            "1.9509804 0.52596974\n",
            "1.9511982 0.5258084\n",
            "1.9514161 0.52567935\n",
            "1.9516339 0.5255304\n",
            "1.9518518 0.52544576\n",
            "1.9520698 0.5253211\n",
            "1.9522876 0.52517253\n",
            "1.9525055 0.5250642\n",
            "1.9527233 0.52492386\n",
            "1.9529412 0.5248678\n",
            "1.9531591 0.5247878\n",
            "1.9533769 0.5246998\n",
            "1.9535948 0.52460396\n",
            "1.9538126 0.52449214\n",
            "1.9540305 0.5243445\n",
            "1.9542483 0.52426094\n",
            "1.9544662 0.52421737\n",
            "1.9546841 0.5241459\n",
            "1.9549019 0.5240785\n",
            "1.9551198 0.5240151\n",
            "1.9553376 0.5238881\n",
            "1.9555556 0.52377707\n",
            "1.9557735 0.523706\n",
            "1.9559913 0.52363104\n",
            "1.9562092 0.52356404\n",
            "1.956427 0.52346134\n",
            "1.9566449 0.5233151\n",
            "1.9568627 0.52318877\n",
            "1.9570806 0.52312607\n",
            "1.9572985 0.5230397\n",
            "1.9575163 0.5229375\n",
            "1.9577342 0.52280766\n",
            "1.957952 0.5227017\n",
            "1.9581699 0.5226394\n",
            "1.9583879 0.5225772\n",
            "1.9586056 0.5224794\n",
            "1.9588236 0.5224371\n",
            "1.9590414 0.52232766\n",
            "1.9592593 0.5222657\n",
            "1.9594771 0.52219987\n",
            "1.959695 0.5221617\n",
            "1.9599129 0.5221275\n",
            "1.9601307 0.52206975\n",
            "1.9603486 0.5219686\n",
            "1.9605664 0.52193856\n",
            "1.9607843 0.52182186\n",
            "1.9610022 0.5218037\n",
            "1.96122 0.52175796\n",
            "1.961438 0.5216887\n",
            "1.9616557 0.5215959\n",
            "1.9618737 0.52146393\n",
            "1.9620914 0.5213124\n",
            "1.9623094 0.52121603\n",
            "1.9625273 0.5211472\n",
            "1.9627451 0.5211098\n",
            "1.962963 0.5210254\n",
            "1.9631808 0.52092147\n",
            "1.9633987 0.5208216\n",
            "1.9636166 0.5207218\n",
            "1.9638344 0.52061033\n",
            "1.9640523 0.52045596\n",
            "1.9642701 0.52035254\n",
            "1.964488 0.5202844\n",
            "1.9647058 0.5201773\n",
            "1.9649237 0.52005076\n",
            "1.9651417 0.5199399\n",
            "1.9653594 0.5198604\n",
            "1.9655774 0.51978093\n",
            "1.9657952 0.51971716\n",
            "1.9660131 0.5195872\n",
            "1.966231 0.5194652\n",
            "1.9664488 0.5193394\n",
            "1.9666667 0.5192565\n",
            "1.9668845 0.5191737\n",
            "1.9671024 0.5190909\n",
            "1.9673202 0.51897717\n",
            "1.9675381 0.5188596\n",
            "1.967756 0.51874614\n",
            "1.9679738 0.5186676\n",
            "1.9681917 0.5185969\n",
            "1.9684095 0.518534\n",
            "1.9686275 0.5184518\n",
            "1.9688454 0.518362\n",
            "1.9690632 0.51826835\n",
            "1.9692811 0.5181477\n",
            "1.9694989 0.51805425\n",
            "1.9697168 0.5179918\n",
            "1.9699346 0.51794875\n",
            "1.9701525 0.51788634\n",
            "1.9703704 0.51782024\n",
            "1.9705882 0.5177426\n",
            "1.9708061 0.51763415\n",
            "1.9710239 0.5175412\n",
            "1.9712418 0.5174292\n",
            "1.9714597 0.5173595\n",
            "1.9716775 0.5172476\n",
            "1.9718955 0.517182\n",
            "1.9721133 0.51712406\n",
            "1.9723312 0.51703936\n",
            "1.972549 0.5169931\n",
            "1.9727669 0.51693153\n",
            "1.9729848 0.51686233\n",
            "1.9732026 0.51678556\n",
            "1.9734205 0.5166705\n",
            "1.9736383 0.5165249\n",
            "1.9738562 0.5164369\n",
            "1.9740741 0.5163987\n",
            "1.9742919 0.5163606\n",
            "1.9745098 0.51624984\n",
            "1.9747276 0.5161162\n",
            "1.9749455 0.5160133\n",
            "1.9751633 0.51591814\n",
            "1.9753813 0.51581156\n",
            "1.9755992 0.51575094\n",
            "1.975817 0.5156865\n",
            "1.9760349 0.51562214\n",
            "1.9762527 0.5155426\n",
            "1.9764706 0.515425\n",
            "1.9766885 0.5153457\n",
            "1.9769063 0.515274\n",
            "1.9771242 0.5151795\n",
            "1.977342 0.5150928\n",
            "1.9775599 0.51502126\n",
            "1.9777777 0.51498026\n",
            "1.9779956 0.5148671\n",
            "1.9782135 0.51478446\n",
            "1.9784313 0.5146715\n",
            "1.9786493 0.514589\n",
            "1.978867 0.5145028\n",
            "1.979085 0.5144167\n",
            "1.9793029 0.51434195\n",
            "1.9795207 0.5142749\n",
            "1.9797386 0.514189\n",
            "1.9799564 0.51408803\n",
            "1.9801743 0.51402116\n",
            "1.9803921 0.5139317\n",
            "1.98061 0.51388764\n",
            "1.9808279 0.51380587\n",
            "1.9810457 0.51375055\n",
            "1.9812636 0.5136727\n",
            "1.9814814 0.51360244\n",
            "1.9816993 0.51352096\n",
            "1.9819173 0.5134056\n",
            "1.982135 0.5133657\n",
            "1.982353 0.51331073\n",
            "1.9825708 0.51322955\n",
            "1.9827887 0.51315594\n",
            "1.9830065 0.51308614\n",
            "1.9832244 0.51303893\n",
            "1.9834423 0.51296544\n",
            "1.9836601 0.5129221\n",
            "1.983878 0.51285255\n",
            "1.9840958 0.5127905\n",
            "1.9843137 0.51271355\n",
            "1.9845316 0.512603\n",
            "1.9847494 0.51253366\n",
            "1.9849674 0.5124682\n",
            "1.9851851 0.5124439\n",
            "1.9854031 0.5123897\n",
            "1.9856209 0.5123169\n",
            "1.9858388 0.51223296\n",
            "1.9860567 0.5121229\n",
            "1.9862745 0.512069\n",
            "1.9864924 0.51200014\n",
            "1.9867102 0.51191646\n",
            "1.9869281 0.51182544\n",
            "1.987146 0.51178664\n",
            "1.9873638 0.5117218\n",
            "1.9875817 0.5116272\n",
            "1.9877995 0.5115551\n",
            "1.9880174 0.51144207\n",
            "1.9882352 0.5113478\n",
            "1.9884531 0.511287\n",
            "1.9886711 0.51122254\n",
            "1.9888889 0.51116925\n",
            "1.9891068 0.5111161\n",
            "1.9893246 0.5110518\n",
            "1.9895425 0.5109542\n",
            "1.9897604 0.51084924\n",
            "1.9899782 0.51078147\n",
            "1.9901961 0.51071745\n",
            "1.9904139 0.5106498\n",
            "1.9906318 0.5105748\n",
            "1.9908496 0.51049614\n",
            "1.9910675 0.5104213\n",
            "1.9912854 0.5103465\n",
            "1.9915032 0.5102496\n",
            "1.9917212 0.51016384\n",
            "1.991939 0.5100708\n",
            "1.9921569 0.5099705\n",
            "1.9923748 0.50995505\n",
            "1.9925926 0.509888\n",
            "1.9928105 0.50981367\n",
            "1.9930283 0.5097504\n",
            "1.9932462 0.5096615\n",
            "1.993464 0.50960946\n",
            "1.9936819 0.509528\n",
            "1.9938998 0.50949806\n",
            "1.9941176 0.50942415\n",
            "1.9943355 0.5093355\n",
            "1.9945533 0.5092287\n",
            "1.9947712 0.50918794\n",
            "1.9949892 0.5091289\n",
            "1.995207 0.50901127\n",
            "1.9954249 0.5089597\n",
            "1.9956427 0.5088752\n",
            "1.9958606 0.50882375\n",
            "1.9960784 0.50872844\n",
            "1.9962963 0.50864047\n",
            "1.9965142 0.5085855\n",
            "1.996732 0.50847584\n",
            "1.9969499 0.50839174\n",
            "1.9971677 0.5083443\n",
            "1.9973856 0.50826764\n",
            "1.9976035 0.50820935\n",
            "1.9978213 0.50811094\n",
            "1.9980392 0.508009\n",
            "1.998257 0.50796914\n",
            "1.998475 0.5078965\n",
            "1.9986928 0.5077911\n",
            "1.9989107 0.50770044\n",
            "1.9991286 0.5076207\n",
            "1.9993464 0.50754106\n",
            "1.9995643 0.5074906\n",
            "1.9997821 0.5074183\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "error",
          "ename": "IndexError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-38-824f13f4450c>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m5000\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m10000\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m   \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlr\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0macc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m: list index out of range"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bdGRRzce9vQA",
        "colab_type": "text"
      },
      "source": [
        "#$ Training \\, the \\, model $#\n",
        "$ Here \\, some \\, layers \\, of \\, the \\, pre-trained \\, model \\, are \\, set \\, as \\, trainable \\, along \\, with \\, the \\, classifier-block$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Nr6-P8BwjOKa",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 50
        },
        "outputId": "d0f17437-0ad6-4a68-f181-91b03f93f3c2"
      },
      "source": [
        "final_base_model=vgg.VGG16(weights='imagenet', \n",
        "                       include_top=False, \n",
        "                       input_shape=(32, 32, 3))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Downloading data from https://github.com/fchollet/deep-learning-models/releases/download/v0.1/vgg16_weights_tf_dim_ordering_tf_kernels_notop.h5\n",
            "58892288/58889256 [==============================] - 1s 0us/step\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JpLQnznQkfTi",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "last = final_base_model.layers[-1].output\n",
        "last=GlobalAveragePooling2D()(last)\n",
        "last=Dense(512,name='dense_top_1')(last)\n",
        "x=BatchNormalization(name='batch_norm_top_1')(last)\n",
        "x=Activation('relu',name='activation_top_1')(x)\n",
        "x=Dense(256,name='dense_top_2')(x)\n",
        "x=BatchNormalization(name='batch_norm_top_2')(x)\n",
        "x=Activation('relu',name='activation_top_2')(x)\n",
        "pred=Dense(6, activation='softmax',name='dense_top_3')(x)\n",
        "final_model=Model(final_base_model.input,pred)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "L_njl0VrkkkL",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "final_model.load_weights('bottleneck_model_vgg16.weights.best.hdf5')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lLhFU7ohkpTO",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "2f2439df-6966-47bd-83a8-186b282a9d2f"
      },
      "source": [
        "final_model.summary()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"model_1\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_1 (InputLayer)         (None, 32, 32, 3)         0         \n",
            "_________________________________________________________________\n",
            "block1_conv1 (Conv2D)        (None, 32, 32, 64)        1792      \n",
            "_________________________________________________________________\n",
            "block1_conv2 (Conv2D)        (None, 32, 32, 64)        36928     \n",
            "_________________________________________________________________\n",
            "block1_pool (MaxPooling2D)   (None, 16, 16, 64)        0         \n",
            "_________________________________________________________________\n",
            "block2_conv1 (Conv2D)        (None, 16, 16, 128)       73856     \n",
            "_________________________________________________________________\n",
            "block2_conv2 (Conv2D)        (None, 16, 16, 128)       147584    \n",
            "_________________________________________________________________\n",
            "block2_pool (MaxPooling2D)   (None, 8, 8, 128)         0         \n",
            "_________________________________________________________________\n",
            "block3_conv1 (Conv2D)        (None, 8, 8, 256)         295168    \n",
            "_________________________________________________________________\n",
            "block3_conv2 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_conv3 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_pool (MaxPooling2D)   (None, 4, 4, 256)         0         \n",
            "_________________________________________________________________\n",
            "block4_conv1 (Conv2D)        (None, 4, 4, 512)         1180160   \n",
            "_________________________________________________________________\n",
            "block4_conv2 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_conv3 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_pool (MaxPooling2D)   (None, 2, 2, 512)         0         \n",
            "_________________________________________________________________\n",
            "block5_conv1 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv2 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv3 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_pool (MaxPooling2D)   (None, 1, 1, 512)         0         \n",
            "_________________________________________________________________\n",
            "global_average_pooling2d_1 ( (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_1 (Dense)          (None, 512)               262656    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_1 (BatchNorma (None, 512)               2048      \n",
            "_________________________________________________________________\n",
            "activation_top_1 (Activation (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_2 (Dense)          (None, 256)               131328    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_2 (BatchNorma (None, 256)               1024      \n",
            "_________________________________________________________________\n",
            "activation_top_2 (Activation (None, 256)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_3 (Dense)          (None, 6)                 1542      \n",
            "=================================================================\n",
            "Total params: 15,113,286\n",
            "Trainable params: 15,111,750\n",
            "Non-trainable params: 1,536\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MNnM1Gd8kuvm",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "for i in range(len(final_model.layers)-12):\n",
        "  final_model.layers[i].trainable = False"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "phvCatsckzCM",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "clr = CyclicLR(base_lr=0.31/5, max_lr=0.31,\n",
        "                        step_size=4950,mode='triangular2')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mrq9iT6mPFtP",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "checkpointer = ModelCheckpoint(monitor='val_loss',filepath='final_model_vgg16.weights.best.hdf5', verbose = 1, save_best_only=True)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FeAB3djKluIj",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "outputId": "d32e2b74-b053-4617-a05f-56f00d363596"
      },
      "source": [
        "for layer in final_model.layers:\n",
        "    print(layer, layer.trainable)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<keras.engine.input_layer.InputLayer object at 0x7f44fcb8f470> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fcb8f780> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fcb8f710> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f44fcb8fc18> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fcb8fbe0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fcbd7f28> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f44fcba7a20> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fcba7ba8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fb2485c0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fb255400> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f44fb255e48> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fb255c88> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fb274ef0> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fb240550> False\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f44fb240dd8> False\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fb240da0> True\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fc506b00> True\n",
            "<keras.layers.convolutional.Conv2D object at 0x7f44fc5026a0> True\n",
            "<keras.layers.pooling.MaxPooling2D object at 0x7f44fc502eb8> True\n",
            "<keras.layers.pooling.GlobalAveragePooling2D object at 0x7f44fc664c88> True\n",
            "<keras.layers.core.Dense object at 0x7f44fc664c50> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f44fc664d68> True\n",
            "<keras.layers.core.Activation object at 0x7f44fc664eb8> True\n",
            "<keras.layers.core.Dense object at 0x7f44fc664f60> True\n",
            "<keras.layers.normalization.BatchNormalization object at 0x7f44fc66d4e0> True\n",
            "<keras.layers.core.Activation object at 0x7f44fc658128> True\n",
            "<keras.layers.core.Dense object at 0x7f44fc658c50> True\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "r1rJpS6Tl7t_",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "6c1592f9-349f-4518-95ff-4bb7af466a06"
      },
      "source": [
        "final_model.summary()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"model_1\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_1 (InputLayer)         (None, 32, 32, 3)         0         \n",
            "_________________________________________________________________\n",
            "block1_conv1 (Conv2D)        (None, 32, 32, 64)        1792      \n",
            "_________________________________________________________________\n",
            "block1_conv2 (Conv2D)        (None, 32, 32, 64)        36928     \n",
            "_________________________________________________________________\n",
            "block1_pool (MaxPooling2D)   (None, 16, 16, 64)        0         \n",
            "_________________________________________________________________\n",
            "block2_conv1 (Conv2D)        (None, 16, 16, 128)       73856     \n",
            "_________________________________________________________________\n",
            "block2_conv2 (Conv2D)        (None, 16, 16, 128)       147584    \n",
            "_________________________________________________________________\n",
            "block2_pool (MaxPooling2D)   (None, 8, 8, 128)         0         \n",
            "_________________________________________________________________\n",
            "block3_conv1 (Conv2D)        (None, 8, 8, 256)         295168    \n",
            "_________________________________________________________________\n",
            "block3_conv2 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_conv3 (Conv2D)        (None, 8, 8, 256)         590080    \n",
            "_________________________________________________________________\n",
            "block3_pool (MaxPooling2D)   (None, 4, 4, 256)         0         \n",
            "_________________________________________________________________\n",
            "block4_conv1 (Conv2D)        (None, 4, 4, 512)         1180160   \n",
            "_________________________________________________________________\n",
            "block4_conv2 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_conv3 (Conv2D)        (None, 4, 4, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block4_pool (MaxPooling2D)   (None, 2, 2, 512)         0         \n",
            "_________________________________________________________________\n",
            "block5_conv1 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv2 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_conv3 (Conv2D)        (None, 2, 2, 512)         2359808   \n",
            "_________________________________________________________________\n",
            "block5_pool (MaxPooling2D)   (None, 1, 1, 512)         0         \n",
            "_________________________________________________________________\n",
            "global_average_pooling2d_1 ( (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_1 (Dense)          (None, 512)               262656    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_1 (BatchNorma (None, 512)               2048      \n",
            "_________________________________________________________________\n",
            "activation_top_1 (Activation (None, 512)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_2 (Dense)          (None, 256)               131328    \n",
            "_________________________________________________________________\n",
            "batch_norm_top_2 (BatchNorma (None, 256)               1024      \n",
            "_________________________________________________________________\n",
            "activation_top_2 (Activation (None, 256)               0         \n",
            "_________________________________________________________________\n",
            "dense_top_3 (Dense)          (None, 6)                 1542      \n",
            "=================================================================\n",
            "Total params: 15,113,286\n",
            "Trainable params: 7,476,486\n",
            "Non-trainable params: 7,636,800\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KrWHOjOMmg0m",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "final_model.compile(loss='categorical_crossentropy',\n",
        "              optimizer=Adam(),\n",
        "              metrics=['accuracy'])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FYW5JKduFsN2",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 370
        },
        "outputId": "827d5218-903b-4121-8799-c43d7e355fe0"
      },
      "source": [
        "history = final_model.fit(x_train,\n",
        "                        y_train, \n",
        "                        batch_size=60, \n",
        "                        epochs=5,\n",
        "                        validation_data=(x_val,y_val),\n",
        "                        callbacks=[clr,checkpointer], \n",
        "                        verbose=1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Train on 275400 samples, validate on 48600 samples\n",
            "Epoch 1/5\n",
            "275400/275400 [==============================] - 622s 2ms/step - loss: 0.1724 - accuracy: 0.9444 - val_loss: 0.4631 - val_accuracy: 0.8749\n",
            "\n",
            "Epoch 00001: val_loss improved from inf to 0.46309, saving model to final_model_vgg16.weights.best.hdf5\n",
            "Epoch 2/5\n",
            "275400/275400 [==============================] - 607s 2ms/step - loss: 0.1037 - accuracy: 0.9677 - val_loss: 0.0566 - val_accuracy: 0.9810\n",
            "\n",
            "Epoch 00002: val_loss improved from 0.46309 to 0.05661, saving model to final_model_vgg16.weights.best.hdf5\n",
            "Epoch 3/5\n",
            "275400/275400 [==============================] - 590s 2ms/step - loss: 0.0650 - accuracy: 0.9788 - val_loss: 0.1289 - val_accuracy: 0.9557\n",
            "\n",
            "Epoch 00003: val_loss did not improve from 0.05661\n",
            "Epoch 4/5\n",
            "275400/275400 [==============================] - 591s 2ms/step - loss: 0.0683 - accuracy: 0.9785 - val_loss: 0.0522 - val_accuracy: 0.9831\n",
            "\n",
            "Epoch 00004: val_loss improved from 0.05661 to 0.05219, saving model to final_model_vgg16.weights.best.hdf5\n",
            "Epoch 5/5\n",
            "275400/275400 [==============================] - 584s 2ms/step - loss: 0.0459 - accuracy: 0.9852 - val_loss: 0.0540 - val_accuracy: 0.9817\n",
            "\n",
            "Epoch 00005: val_loss did not improve from 0.05219\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "quLQXCUfUNbc",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "final_model.load_weights('final_model_vgg16.weights.best.hdf5')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a_mR5T1K13TQ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 318
        },
        "outputId": "71a9de1d-ab3b-44e0-e57d-9cfc38ef8aa6"
      },
      "source": [
        "plt.xlabel('Training Iterations')\n",
        "plt.ylabel('Learning Rate')\n",
        "plt.title(\"Learning rate range test\")\n",
        "plt.plot(clr.history['iterations'], clr.history['lr'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f44e2695668>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 31
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEcCAYAAADpzeJvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nO3dd3xcZ5n3/496cVdzl5usS0rcLcWkOz0xpBHSE6fQArvwPAv82N8ukMIu/IDd/QFhkw0PJE4Dp0ISiO305pAQyTVOPJct9z4qlmRZVtfzxzljy4rKaKTp1/v10sujc+bM3HM0nmvO99z3fRI6OzsxxhhjBiox3A0wxhgTnayAGGOMCYgVEGOMMQGxAmKMMSYgVkCMMcYExAqIMcaYgFgBMXFBRM4WEQ13O4yJJVZATNCJyE4RuTCcbVDV91RVwtkGHxFZLCJ7w92OYBjK1yYib4vIV4bisUxwWAExMUFEksLdBgARSRCRkP6/EpHkUD6fMT4JNhLdBJuI7AS+oqqvd1ueCHwf+CowGngDuEtVa9z1zwJnAxnABuAbqvqJu+5R4BgwBTgXuBL4PfDfwFJ3+SrgNlVtEpHFwJOqOqlLm3q8r7v++8A/AZ3A3cDvgJmqWtHD63sbeB9YDCwAZrvt/j4wCagEfq6qvxWRYUAVkAY0ug9RCBzsa190e77FwJPAb9w2vgZ8G3gCWAQku+25S1X3dmnje8D5wBzgA+AmVa1y1y8F/g0YDvwK+DLu36y/v1OXdg34tYlIOs7f7TIgCdgKfMF9Pf8v0Aq0AY+q6j923xcmvOwIxITTt4CrcArABOAw8ECX9SuBmUAesBb4Q7ftbwJ+AowAVrvLrgMuBabhfFDe3sfz93hfEbkU+A5wIVCAUxj6cyvwNbctuwAvzgfhSOAO4JciskBVj+J8WO5X1eHuz34/9kV344AsnOL3NZz/y8vc3/Nxiut/d9vmJrcteUAq8D339Z4CPAjcDIwHRgETu2znV9sCfG23uc83GcgG7gKOqeoPcAreP7qPY8UjAtmhrwmnu3A+IHzfku8FdovIrarapqqP+O7orjssIqNUtc5d/KKqvu/ebhIRgPvdDy1E5C/AvD6ev7f7Xgcs63K0cy/Oh2tfHvXd3/Vyl9vviMirOEcla3vZvs990cP9O4B7VLXZ/f0Y8LxvpYj8BHir2zbLVHWLu/4Z4Ap3+ZeAv6jqanfd3ThHAIG2ze/XhnOEkQ0UqOpGYI0fj2cihBUQE05TgD+LSEeXZe3AWBE5iHN0cS2Qi/OBCZAD+ArInh4e82CX240433h709t9JwDlXdb19DzdnXQfEbkMuAcnwkkEMoGP+9i+130B7Ovh/pW+uM19vkzglzhHVGPcxSNEJElV293fu7/e4e7tCV3br6qNIlI9iLYN5LU9gXP08ZSIjMaJ5n6gqq1+PK4JMysgJpz2AHd2OYo4zv12eiVOjLQTJ+Y4DCR0uVuwTuAdwDl34TPZj22Ot0VE0nCOBpbiHCW1isgLnGh7T+3udV/093yu7wICLFLVgyIyD1jHyfurNwfcbX3tz8A5KgikbYG8tvuA+0RkKrACUODhXh7LRBA7B2JCJUVE0rv8JAMPAT8RkSkAIpIrIle69x8BNAPVON/efxrCtj4D3CEixe43+x8NcPtUnBPJlUCbezRycZf1h4BsERnVZVlf+8IfI3BirFoRycI5+vHXc8DlInKGiKQC93Jy4RlI2wb02kTkPBGZ7faiq8eJtDq6PNb0AbwOE2JWQEyorMD5gPP93Av8GngJeFVEjgAf4vQiAngc52T0PuBTd11IqOpK4H6ccwgVXZ67udeNTt7+CM45hGdwjppuwnmdvvUeYDmwXURqRWQCfe8Lf/wKp7dalbvtKn83dM/dfAt4CudopAGnE4Dv9frdtgBe2zicAlYPbAbewYm1fM/7JRE5LCL3+/t6TOhYN15j+iEixcAmIM3Pk8ZRTUSGA7U43ZZ3hLs9JnLZORBjeiAiV+McNWUCP8fppRSzxUNELscZn5EA/CfOCf+d4WyTiXwWYRnTs6/jxDjbcHoMfSO8zQm6K4H97s9M4AZVtXjC9MkiLGOMMQGxIxBjjDEBiZdzIGlAKU4Pk/Z+7muMMcaRhDO9TRk99EKMlwJSijOvjjHGmIE7mxPzzR0XLwXkAMDhw0fp6Bj4OZ/s7OFUVzcMeaOike0Lh+0Hh+2HE2JxXyQmJjBmzDBwP0O7i5cC0g7Q0dEZUAHxbWscti8cth8cth9OiOF90WP0byfRjTHGBMQKiDHGmIBYATHGGBMQKyDGGGMCYgXEGGNMQKyAGGOMCYgVEOOX+5/byJOvaribYYyJIFZATL9q6ptYX1HFm2v30dxqM8EYYxxWQEy/1mjl8dtrPYfC2BJjTCSxAmL6VaZexmdnMjwjhdUb9oe7OcaYCGEFxPTp8JFmKvbWseiUsSwozKXs04O0WIxljCGEc2GJSCHwGJANVANLVXVrt/vcAfwT0IEzjfDvVPV+d10ScD9wKdAJ/ExVfx+q9sercvUCUFqUR019M+9u2M+mHTUsKMwNc8uMMeEWyiOQh4AHVLUQeAD4bQ/3eR6Yq6rzgDOA74rIHHfdzUABzuU2TwfuFZGpQW91nCv3eJmYO4zx2cMomjKaEZmplHu84W6WMSYChKSAiEgesABY7i5aDiwQkZO+xqpqfZfrMGcCKThHGwDX4xyRdKhqJfACcG3QGx/HfPFVqeQBkJSYyOmzx7O+oorWNouxjIl3oToCmQzsU9V2APff/e7yk4jIFSLyCbAL+A9V/dhdle8u89nd0/Zm6KxRL51ASVHe8WVnzp1AU0s7m7bXhK9hxpiIEHHXA1HVl4CXRCQfeEFEVqjqkIxgy84eHvC2ubkjhqIJUWX9tmryx41gbvG448vGZA1jRGYKH+88zMVnTg9j68IvHt8TPbH9cEK87YtQFZA9wEQRSVLVdveE+AR3eY9UdbeIfAR8AVCcI44pONfmhc8ekfSrurohoAu+5OaOoLLyyIC3i2aHjzSzeUcNV5w17aTXnps7gnkFOXy46QD7D9SSkpwUxlaGTzy+J3pi++GEWNwXiYkJfX7xDkmEpapeYD1wo7voRmCdey7jOBEp7nI7BzgP8EVYzwJfFZFE99zJVcBzwW57vOopvvIpLcpzYqwdFmMZE89CGWHdBTwmIncDh4GlACKyArhbVcuBr4nIxUArkAD8t6q+6m7/BLAI8HX9/bGq7ghh++NKucfLhJxhTMwZ9pl1RVPGMCw9mXKPl/kzrTuvMfEqZAVEVT04BaD78iVdbv9TH9u3A98ITutMV7UNzWzdW8flZ07tcX1yUiLzC3NZo15a2zpISbbxqMbEI/ufbz5jjVbSiRNV9aa0KI9jze18YjGWMXHLCoj5jDJffJXb+8mzYjfGKrNBhcbELSsg5iS1Dc1s3VNLifR9biM5KZH5M3NZX1FJa1tHiFpnjIkkVkDMSfyJr3xKfDHWTouxjIlHVkDMSco9ztTtfcVXPqdMHUNmWrLNjWVMnLICYo6ra2hmy55av44+wNcbK4d1W6ssxjImDlkBMcet2VLZ6+DB3ji9sdr41GIsY+KOFRBz3PH4qofBg705ZWqWxVjGxCkrIAaAuqMt6J5aSiSPhIQEv7dzemM5MVZbu8VYxsQTKyAGgLXqpbPTv95X3ZUU5dFoMZYxcccKiAGcwYPjsjKZmOt/fOVz6rQsMtJsUKEx8cYKiKHeF18VDSy+8jkeY22xGMuYeGIFxDi9rwKMr3xOxFiHh7BlxphIZgXEUO7xMjYrk0kBxFc+p07NIiMtyXpjGRNHrIDEufqjLXh2H6a0KDeg+MonJTmReQW5rNtaaTGWMXHCCkicW+vGVyUSeHzlU1qUx9GmNjbvshjLmHhgBSTOlXm8jB2TweS8/ue+6o/TGyvJemMZEyesgMSx+kYnvgq091V3ToyVw7otFmMZEw+sgMSxtUPQ+6q7EjfG8liMZUzMswISx8o9XvKGKL7ymTUti/RUi7GMiQdWQOLUkcYWPLucqduHIr7ySUlOYt7MHNZajGVMzLMCEqfWbqmko7NzSHpfdVcqFmMZEw+sgMSpco+XvNEZ5I8duvjKZ9Z0i7GMiQdWQOLQkcYWNu8KfO6r/qQkJzGvwGIsY2KdFZA4tG5rFR2dnUPa+6q7472xdluMZUyssgISh8o8XnJHpwclvvKZNS2LtFSbG8uYWGYFJM40HGtl886hGzzYm9QUX4xlU7wbE6usgMQZX++rYMZXPiWSR8OxVnR3bdCfyxgTelZA4ky5x0vOqHSmjB0R9OeaPd2Jsaw3ljGxyQpIHGk41srmXYeHfPBgb07EWJW0d1iMZUyssQISR9ZtqaS9o5OSEMRXPr4Yy2MxljExJzlUTyQihcBjQDZQDSxV1a3d7vMj4AagHWgF/lVVX3HXPQpcCFS5d39WVX8SmtbHhjJ14qup44IfX/n4Yqxyj5dTp2aF7HmNMcEXyiOQh4AHVLUQeAD4bQ/3+QgoVdU5wJ3A0yKS0WX9z1R1nvtjxWMAQtX7qrvUlCTmzshmjVqMZUysCUkBEZE8YAGw3F20HFggIrld76eqr6hqo/vrRiAB54jFDNK6rU58FYreV92VFllvLGNiUaiOQCYD+1S1HcD9d7+7vDdLgW2qurfLsu+IyMci8oKIFAevubGn3FMZ8vjKZ/b0bNJSbFChMbEmZOdABkJEzgX+Dbioy+IfAAdUtUNElgKrRGS6ryj5Izs78JHXubmh/+AdKg2NLWzeVcPlZ88gL2/koB8vkH1x2qnjWFdRyf/OGkZSUmz03Yjm98RQsv1wQrzti1AVkD3ARBFJUtV2EUkCJrjLTyIipwNPAleqqvqWq+q+LrcfF5FfApOAXf42orq6gY6OzgE3Pjd3BJWVRwa8XaRYvfEAbe2dnJo/etCvI9B9MXvqGN5bv4/31+6hOAZOpkf7e2Ko2H44IRb3RWJiQp9fvEPyVVBVvcB64EZ30Y3AOlWt7Ho/ESkFnga+pKpru62b2OX2JTg9tfZh+lWuXrJHpjNtfPi+Hc2ekU1qSiJlJ//JjTFRLJQR1l3AYyJyN3AY5xwHIrICuFtVy4EHgQzgtyLi2+5WVf3Y3XYs0AHUA1eoalsI2x+VGpta+WRHDReWTApp76vu0lKSmDsjh7Xq5ZaLCklMDF9bjDFDI2QFRFU9wKIeli/pcru0j+0vDFLTYtq6rVUhHzzYm9KiPMo8XnRPLcVTxoS7OcaYQYqNs5mmV2UeL9kj05g+fvAnzwfLF2NZbyxjYoMVkBjmi69CPXiwN2kpScyZkcOaLZUBdWYwxkQWKyAxLJLiK5/Sojzqj7awZY8NKjQm2lkBiWHlERRf+cyZnk1qciJlajGWMdHOCkiMamxq45OdNSyUyIivfNJSk5jjzo1lMZYx0W1ABUREEkVkfLAaY4bO+opK2trDM/dVf0rcGGvrXouxjIlmfhUQERktIn8EmoAKd9kVIvLvwWycCVzZZi9ZI9OYPiFy4iufuTNynBjLemMZE9X8PQJ5CKgDpgAt7rIPgOuD0SgzOL74qiTC4iuftNQkZluMZUzU87eAXAB8W1UPAJ0A7jQkkZePmOPxVST1vuqutCiPOouxjIlq/haQOiCn6wIRyQcODHmLzKCVeyoZMyIy4yufOTOySUlOpNxjc2MZE638LSC/B54XkfOARHfG3Mdwoi0TQRqb2ti0o5oSySMxAuMrn/TUZOZMz6Z8i5eOTouxjIlG/haQn+PMkvsAkAI8ArwI/DpI7TIB2lBRFbG9r7orKcqjrqGFir114W6KMSYA/k6mOFZVf023giEi44CDQ94qE7Ayj9eJryZGbnzlM7fAibHKPF4KJ48Od3OMMQPk7xHIll6WfzpUDTGDd6y5jU07algouREdX/mkpyYze3o2a9RiLGOikb8F5DOfRiIyEufaHCZCrK+ooq29IyriK5+SolxqLcYyJir1GWGJyB6cbrsZIrK72+psYHmwGmYGrtyNr2ZMHBXupvht7owckpOcKd4txjImuvR3DuQWnKOPFcCtXZZ3Aoe6XrPchNex5jY+3l7D4nkToiK+8slIS2b29CzK1csNF86MqrYbE+/6LCCq+g6AiOSoamNommQCscGNryJ58GBvSovyWLe1im376pg5yY5CjIkWfvXCUtVGEZkHnI0zoDChy7q7g9Q2MwBlHi+jh6dSMCl64iufuQVOjFXm8VoBMSaK+DuZ4teA94HzgX8GZgPfBQqC1zTjL198tTDCBw/2xhdjrdFK641lTBTxtxfW94FLVfVq4Jj775eA1qC1zPhtw7bo633VXUlRHoePNLN9X324m2KM8ZO/BSRPVd9zb3eISKKqrgQuD1K7zACUeyoZFaXxlc+8LjGWMSY6+FtA9orIVPf2FuBKETmbE1O7mzBpamnj4+3VlBRGZ3zlk5GWzKxpTm8si7GMiQ7+FpBfAMXu7R8DTwJvurdNGG2oqKa1rYOSotxwN2XQSn0x1n6LsYyJBv72wnq0y+2VIjIGSFXVhmA1zPin3ONl1LDUmOi95PTGSqDc46UgigZDGhOvBnRNdB9VbQHOE5GPhrg9ZgCaWtrYuL3amfsqMXrjK5/M9GRmTcumzGMxljHRoL+pTMYC/wnMA7YC3wYmAQ8CY7Hp3MNq4zYnvorm3lfdlRTlsr6iiu376+0oxJgI198RyIM4l619EBgBvIQz/9WDwFRV/UVwm2f6UubxMjJG4iufeQW5x2MsY0xk6+8cyNlAgarWi8gzQCUwW1U/CX7TTF+aW9r5eFs1Z84ZHxPxlU9mejKnTnV6Y113fkFU9ywzJtb1dwSSrqr1AKpaDdRZ8YgMG7ZV0dLWQanETnzlU1KUR019MzusN5YxEa2/I5AUEbmDE3NfpYjInV3voKqPBKVlpk/lbnwVi1Ogz5+ZQ1JiAmUeb1RNTW9MvOmvgPwdWNrl9zI+O627XwVERAqBx3CuI1INLFXVrd3u8yPgBqAdZ5qUf1XVV9x1mcAyYCHQBnxPVf/qz3PHmuaWdjZuq+bM2bEVX/lkpqdw6rQs1qiX688vIMFiLGMiUn/TuS8ewud6CHhAVZ8UkVuA3+JMztjVR8B/ubP/zgXeEZHxqnoM+B5Qr6oFIjITeE9ECuJxLMrG7dW0tEXn1O3+Ki3KY+O2arYfqGfGBDsKMSYSBTQOZKBEJA9YwIkrGC4HFojIScOnVfWVLtcd2YgTnWW7v1+PU3Rwj1zKgcuC3PSIVObxMjIzBYnB+MrHF2NZbyxjIpdfI9GHwGRgn6q2A6hqu4jsd5dX9rLNUmCbqu51f88HdnVZv9vd3m/Z2cMH1OiucnNHBLztUPLNfXX+wsmMHTsyLG0I1b6YL86Fpv7huvkRGWNFynsi3Gw/nBBv+yJUBWRARORc4N+Ai4bycaurG+joGPgI59zcEVRWHhnKpgSs3OOluaWdWVNGh6VNodwXc6dnUb75EB9t3M/0CeEplr2JpPdEONl+OCEW90ViYkKfX7xDEmEBe4CJIpIE4P47wV1+EhE5HWeyxqu6XXN9NzCly+/5PW0f68o8XkZkplCYH7vxlY/FWMZENr+OQERkei+rmoEDqtrR1/aq6hWR9cCNOMXhRmCdqp4UX4lIKfA08CVVXdvtYZ4Fvg6UuyfRS93HiRvNre1s2FbFGaeOIykxVLU/fHy9sco8Xq49b0ZExljGxDN/P4UqcObC2trt9m6gWUSed+fN6stdwLdEZAvwLfd3RGSFiJS493kQyAB+KyLr3Z/Z7rr/AEaLSAXwV+Brqhpbx4v9+HhbNS2tsd37qrsSyaO6vomdB+PqT21MVPD3HMhXgcXAvTixUT7wQ+AD4B3g58ADOJe57ZGqeoBFPSxf0uV2aR/bHwWu9bO9MalcvQzPSEHiIL7ymV+YQ9IqZ1DhtPGRdR7EmHjn7xHIfcBXVXWbqraoagXwTeBHbmG4HafAmCBpaW1nQ4UzdXs8xFc+w9JTOGVqFuUeL502xbsxEcXfT6JEYGq3ZflAknv7KBHaoytWfLy9mubW9piaut1fJUW5VNVZjGVMpPH3Q/9XwJsisgwnwpoE3OEuB1iCE2eZICnzxF985TN/Zi6PJyrlFmMZE1H8OgJxr/txJzAOuBKnC+6XVfXn7voXVDUuR4WHQrzGVz7DM1IonjqGMouxjIkofsdOqroKWBXEtphefLy9hubW9rjqfdVdqeSxbKWHXYeOMHWcHYWEU2dnJ00t7WSkWWod7/wdB5KKc6J8HnDSsERVXdrTNmbo+HpfFcVhfOUzvzCXx19RyjxeKyBh9sQryoefHuLeO0rjbuoOczJ/85DHgP8NHAG2dfsxQdTS2s76iioWFMZnfOUzPCOF4iljrDdWmG3aXs3b6/fT1NLOoys9AU0NZGKHv8eglwLTVLU2mI0xn7VpRw3NLfHZ+6q7kqI8Hl3pYfehBqaMs2++odbY1MaylR7GZ2dywcJJPPnqFlZ+sJPTCnPC3TQTJv5+pd0NpAWzIaZn5W7vq6Ip8Rtf+SwozCUxwRlUaELvmbcqqG1o5s4lxZw3fyKzpmXx6F8/obL2WLibZsLE3wLyOPCiiNwoIud3/Qlm4+Jda5svvsqJ6/jKx9cby2Ks0Nu0o5p3N+znktPymTFxFAkJCdx+WREJCQksW7GZDvt7xCV/P5X+ERgL/BR4uMvP74PULgNs2l5DU0t8977qrrQoD2/tMXYfirsLUYbNseY2HlvpYVxWJledNe348qyR6Xz5ill4dtfyzrp9YWyhCRe/zoGo6rT+72WGWpl6GZaeTFH+mHA3JWLMn5nD46sSKFevnQcJkWffqqCmvpl/uXUhqSlJJ627eFE+b5Xt4pm3tjF7ejY5ozPC1EoTDpaLRKjWtnbWb3V6XyUn2Z/JZ0RmKsVTRtugwhD5ZGcNb6/fz8WnTaZg4mevTe9EWcUkJMCylR77m8SZXo9ARGSzqha7t/cAPb4zVDU/SG2La5t2OPGV9b76rJKiPB5bpezxNpA/1o5CguVYcxuPrvAwNiuTq8/u7ZJAkD0qnevOL+DxVco76/ezeP7EELbShFNfEdZXu9y+JdgNMScr97jx1RSLr7pbUJjLE69soczjtQISRM+9vY2a+ib+5ZbPRlfdnTt3AuUeL0+/VcGs6VnkjLIoKx70WkBUdXWX2++EpjkGoLWtg/UVVSyUPIuvejAiM5WiKaMp93j54jnT7UqFQbB5Zw1vrdvHxaWTKZj02eiqu4SEBG6/tIgfPfIRj6708N3r59nfJQ7YVCYR6JMdNRxrtviqLyVFeTxuMVZQNLU4AwbHjsng6nN6j666yxmdwXXnFfDEK8q7G/Zz7jyLsmKdTWUSgco8hxiWnkyxxVe98g0qLFcbVDjUnnt7G9V1TdyxpJi0fqKr7s6dN4HiKWN4+s0KquuagtRCEylsKpMIczy+KrT4qi8jM1OR/NGUeSq5+myLsYaKZ9dh3ly7j4tKJlM4eeCzHyS6AwzvfvgjHl3l4TvXzbW/TQyzqUwijC++ssGD/SstyuNQTSN7K4+GuykxobmlnUdWbCZvdAZfPNf/6Kq73NEZXHveDD7ZUcN7Gw8MYQtNpPH3CMQ3lcmvgUNdV6jqm0PeqjhW5vGSmZbMKVMtvurPgsJcnnjVmeJ9ct7w/jcwfXruHSe6+uebFww4uupu8fyJTq+sN7cya1oWWSPTh6iVJpLYVCYRxImvKplfmGPxlR9GDkulKN/mxhoKuvswb6zZywULJwUUXXWXmJDA7UuKae/o5NFVNsAwVvV7BCIiicBXgNWq2hz8JsWvT3Za76uBKinK44lXlH2VR5lkRyEBaW5pZ9kKD7mj07nm3BlD9rh5ozO4dnEBf3htC6s/PsDZcyYM2WObyNDv11xV7QBesOIRfOXH46uscDclaiwszCUhAZvifRCef3cb3tpj3LmkmLTUwUVX3Z23YCKFk0fz1BsV1NRbr6xY429O8q6IfC6oLYlzrW0drNtaxfyZFl8NxMhhqcjk0ZSrxViB2LKnljfK93LBgklIECbtTExI4M4lRbS3d/D4K2p/oxjj70n0XcBKEXkROGleLFW9OxgNizef7qzhWHOb9b4KQGlRHk+8uoV9VUeZlGsxlr+aW51eV9mj0rlmceC9rvqTNyaTaxbPYPnrW/nbpoOcOXt80J7LhJa/X3UzgBdwCsckYHKXHzMEyj1eMtKSOXWaxVcDtUDySEhw9qHx35/f3Y738DHuWFJMeqq/3yUDc8HCSRROGsUfX9/K4SOWhscKf68HckewGxLP2totvhqMUW6MVebxclUfs8aaE7bureW1sj2ct2BiSGY8SExI4I7PF3PPwx/x2CoP/+tLc2yAYQwY0NcOERkB5ADH//Kqun2oGxVvPt1ZQ6PFV4NSUpTHk69uYV9lAxMtxupTc2s7j7zsRFfXLh66Xlf9GTsmk2vOncHyNyzKihV+fd0VkVNEZB1QB1S4P1vdHzNIZR4vGWlJnGq9rwK2sDCXBKw3lj/+/O52Dh0+xh2XFQU9uurugpJJzJw0iuUWZcUEf/OSB4G3gCygHhgD/Ba4LUjtihtt7R2s21LFvIJcUpItvgrUqOFpFLoxluldxd46Xivbw+L5EykOwxcWp1dWMa3tHTxuAwyjnr+fWHOBf3YnU0xQ1Trg/wH+zd8nEpFCEflARLa4/87s4T4Xi0i5iDSLyH92W3eviHhFZL3784C/zx3JPt15mMbmNhs8OARKivI4UN3IvsqGcDclIrW0tvPwis1kjUwLaXTV3disTK45ZzobtlXz4SeH+t/ARCx/C0gTkOLerhKRfHfb7AE810PAA6paCDyAcwTT3XacUe//0ctjPK6q89yffxjAc0escl98Zb2vBq1ELMbqywvv7eBQTSO3LykmIy200VV3F5Y411j/4+tbqG2wKCta+VtA3gOuc28/B6wE3gH8mkhRRPKABcByd9FyYIGI5Ha9n6pWqOp6oM3PdkU1p/dVJfMKciy+GgKjhqcxc/JoyrUy3E2JOBX76nilbDfnzpsQEefaEhMTuGNJES1tHTy+ygYYRit/u/Fe1+XXfwU2AXO+pLQAAB8HSURBVCNwZun1x2Rgn6q2u4/XLiL73eUD+d9+g4hcDBwE7lHVDwawLdnZgffOyc0d+qverfEc4mhTGxecNiUojx8skdzW80om89s/f8yx9k7yx40M6nNF8n7oqrm1ncce/ojsURl889p5ZKan9L/RAAS6H3JzR3DrZcU88pdP+HRvPYsXTBrSdoVDtLwnhspAu/EmAmNV9ckgtacvDwE/UdVWEbkIZ3r5YlWt9vcBqqsb6OgY+Ded3NwRVFYeGfB2/Xn977tIT01icnZGUB4/GIK1L4aKTBxJAvDqBzu58qxpQXueSN8PXT37VgX7Khv4zvVzOXqkiaNHhm5OqsHuhzOK83hnzR4een4Dk8akM2p49F52KJreE/5KTEzo84u3v914x4jIH3HOhVS4y64QkX/3sx17gIkikuRumwRMcJf7RVUPqmqre/s1d9tZ/m4faZzeV5XMm5lDSvLQTmAXz0b7Yiw7DwLAtv11rPpoN+fMncCsaQM5ZRkaiYkJ3Pn5Yppbba6saORv8P4/OGNApgAt7rIPgOv92VhVvcB64EZ30Y3AOlX/w2oRmdjl9jxgKqD+bh9pPLsOc7SpjVKx3ldDrbQoj31VR9lfFd9XKmxtcwYMjhmRxvXnF4S7Ob0anz2Mq8+ZxrqtVXy02Qp/NPG3gFwAfFtVD+BOpOh++A/k0+8u4FsisgX4lvs7IrJCRErc22eJyF7gO8DXRWSviFzibv9TEdkkIhuA3wG3qurBATx/RCnzeElPTWLW9PCf0Iw1C93eWPF+FPLi6p0cqG7k9kuLwt7rqj+XlOYzfcJI/vDaFuqOtvS/gYkI/r6r6nCmMDl+gWO3K6/fFzxWVQ+wqIflS7rcXo0zWWNP28fMoMW29g7WbvH1vrL4aqiNHp7GzEmjKFMvVwTxPEgk23GgnpV/38XZc8Yza3rkRVfdJSY6AwzvXVbGk68o37x6ls2VFQX8PQL5PfC8iJwHJIrI6cBj9DyWw/TDs9uJr2zuq+ApKcpjX+VRDlTHX4zV2tbBwy9vZvTwNK4//zPjdSPWhJxhXHX2NNZsqbSxPFHC3wLyc+BpnAGAKcAjwIuq+stgNSyWlXu8pKUmMdviq6BZKHlxO6jwpfd3sL/qKLddWkRmemRHV91dctpkpo0fwZOvbqHeoqyI51cBUdVOVf21qp6iqsNUtRj4jYj8OMjtizlOfFXFfIuvgmrMiDQKJo2Ku/MgOw7Us/LD3Zw1ezxzZkR+dNVdUmIidy4ppqmljSdf2xLu5ph+DGb4czLwg6FqSLzQ3bU0HGu1+CoESory2BtHMVZrWwePrNjMyGEp3HBB5Pa66s/E3OFcedY0yj3euDyCjCaDnT/DznINUJkbX82yua+CrsTtIh0vRyF/+dtO9lX6oquhHW0eapcuymfKuBE8+apS32hRVqQabAGxUT8D0N5xovdVaorFV8Hmi7HKPLE/N9aug0dY8cEuzpw1jrkFOeFuzqAlJSby5c8X09jUxh8tyopYfZ5hE5Hz+1idOsRtiXkeX3xlgwdDplTyWP7GVg7WNDIuKzPczQmKtvYOHn75U0YMS+GGC6On11V/JuUO54qzpvHnd7dTIl6LfSNQf100Hu5n/e6hakg8sN5XobdQcln+xlbKPF4uP2NquJsTFH/92072Vh7l29fMYViUR1fdXbYon7VayROvKpI/mhGZ9r01kvRZQFQ1PkdhBUF7RwdrtJK5M7ItvgqhrJHpFEx0emPFYgHZdfAIL3+wi9NPHce8mdEfXXWXnOREWfc9WsYfXtvCXVdG7fR3MckuQhEivt5XduXB0CspymOPt4FDNY3hbsqQamt3el0Nz0jhxhiKrrqblDecK86cykebvazR+OgQES2sgIRIucdLWkoSs6NgWolYU+JetyzWuoS+/MEu9ngbWHqpMDwjtqKr7i773BTyxw7niVeUhmOt4W6OcVkBCYH2jg7WbKlkboHFV+GQNTKdGRNHxlR33t2HjvDXv+3kc6eOZf7M3P43iHJOlHUKR61XVkSxAhICW3bXcqTRel+FU6nksdvbwKHD0R9jtbV38MjLmxmWkcJNFxaGuzkhMzlvOJefMZUPPz3E2i2x3zU7GlgBCYEyrSQ1JZHZUTi1RKzwdQGNhaOQFR/uYre3gaWXxH501d2S06eQnzecxy3KighWQIKso6OTtepl7owc0iy+CpuskenMmDAy6s+D7PE28Jf3d7LolLEsKIz96Kq75KRE7vx8MUePtbL8dYuyws0KSJDpnlrqG633VSQoKcpj96EGvFEaY/kGDA5LT+amGO511Z/8sSP4/OlT+OCTQ6zbalFWOFkBCbJyj9fiqwjhOwcVrUchKz/cxe5DDdx6icT9gLovnDGVSbnDeXyVRVnhZAUkiDo6OlmzpZI5Fl9FhOxR6UyfMJLyKJwba6+3gZfe38lpxXkstM4YxwcYHmls5ak3toa7OXHLCkgQbdlTS/3RFouvIkiJ5LHr0BG8tcfC3RS/OdHVZjLTk7n5ovjpddWfKeOcKOtvmw6yvqIq3M2JS1ZAgqhMvaQmJzLHBg9GjJIi58RzNPXGWvX33ew6dIRbL7boqrvLz5zKpNxhPL7Kw9Emi7JCzQpIkHR0dLJGK5kzI5u0VIuvIkXOqAymjY+e3lh7Kxt4cfUOSovybDbaHvh6ZdUftSgrHKyABMnWvU58Zf/pI09pUR67DkZ+jNXe4QwYzEhL5uaLLbrqzdRxI1lyej7vf3yQjdssygolKyBBUuZx4qu5M2JvhtRo55sba02EH4Ws+vtudh48wq2XCCMtuurT5WdMY2LOMB5bpTRalBUyVkCCwBdfzbb4KiLljM5g2vgRER1j7as6yourd1AiudYJww8pyU6UVdfQwlNvVoS7OXHDCkgQbN1bS531vopoJUV57Dx4hMoIjLF80VV6ajK3XCzhbk7UmDZ+JJd9Lp/VGw/w8fbqcDcnLlgBCYJyTyUpyYnMscGDEcs3qLA8Aq8v8epHe9hxoJ5bLi5k5DCLrgbiijOnMSFnGI+u9NDY1Bbu5sQ8KyBDrKOzk/ItXuZMzyY9tb8rBptwyR2dwdRxIyKuO+/+qqP8+b0dLCy06CoQKcmJ3LmkmNqGZp5+03plBZsVkCFWsbeOugbrfRUNSovy2HHgCFUREmN1dHTyyIrNpKUkcsslQkJCQribFJWmTxjJpYvyeW/jATZZlBVUVkCGWNlmLynJicwtsPgq0h2f4l0jY2qTV8v2sH1/PTdfXMgoi64G5aqzpjE+O5NlFmUFlRWQIeSLr2ZbfBUVckdnMGVcZPTGOlB9lD+9u535M3NYVDw23M2JeinJScejrGfesl5ZwRKyTzkRKQQeA7KBamCpqm7tdp+LgZ8Cs4HfqOr3uqxLAu4HLgU6gZ+p6u9D1Hy/nIiv4u86DdGqtCiP597eRlXdMXJGZYSlDV2jq6UWXQ2ZGRNHcclp+az6+25KinKZNc1SgaEWyiOQh4AHVLUQeAD4bQ/32Q58BfiPHtbdDBQAM4HTgXtFZGpwmhqYMo+X5CQbPBhNTlypMHwx1mvle9i2r56bLipk1PC0sLUjFl19thNlPbbSw7Fmi7KGWkgKiIjkAQuA5e6i5cACETnpq7qqVqjqeqCnv/T1wO9UtUNVK4EXgGuD2OwB6ejsZI16mT09i4w0i6+iRd7oDKaMHRG27rwHaxr507vbmVeQw+dOsehqqPmirJojzTwbh1HWwZpG/s9Ln3Cg+mhQHj9URyCTgX2q2g7g/rvfXe6vfGBXl993D3D7oKrYW0dtgw0ejEYlRbls319PVV1oe2P5oquUpESWXmrRVbDMmDiKS0rzeXv9fj7ZWRPu5oTMR5sPcd+jZXy8vZrExOC8t+Lqq3J29vCAt83NHdHn+j+/v5OU5EQu+NxUMtNTAn6eaNDfvog2l5wxneff2Y5nbz1XF/j/BWCw++HFd7dRsbeOf7pxATOnRW/sGQ3vh698cQ4f76jmiVeU33zvvKD9H42EfdHS2s7vX9zEyg92UjRlDN+/tZTcMcE5vxeqArIHmCgiSara7p4Qn+Au99duYApQ5v7e/YikX9XVDXR0dA5kE8B5U1RWHul1fUdnJ++t28usaVkcPdLE0SNNA36OaNHfvohGyUD+2OG8vWYPZ53qX4w02P1wqKaRx1/+lLkzspmVPypq92k0vR9uu6SI/+/JNTz03AZuvWTop4iJhH1x6HAj//PCJnYfauDSRfl88Zzp0NYWcLsSExP6/OIdkghLVb3AeuBGd9GNwDr3XIa/ngW+KiKJ7rmTq4Dnhralgdm2z4mvbPBg9CotymP7/nqq64Jf/Ds6negqOSmRpZcWWXQVIgWTRnFR6WTeWrePzTEYZZV5vNy3rIzquia+fc0crjuvgOSk4H7Eh7IX1l3At0RkC/At93dEZIWIlLi3zxKRvcB3gK+LyF4RucTd/gmcXlpbgQ+BH6vqjhC2v1e+3lfzCqI3hoh3JwYVBv9k+htr9rJ1bx03XjiTMSOs11UoXX3OdMaOyWDZSg9NLbHRK6u1rYMnX1X+54VNTMgZxj13lDJvZmg+i0J2DkRVPcCiHpYv6XJ7NTCpl+3bgW8ErYEBcnpfVTJrmvW+imZjx2SSnzecco+XS07LD9rzHDrcyPNvb2POjGzOmDUuaM9jepaWksQdS4r5+R/W8tzb26J+tmNv7TH+54VN7Dp4hItLJ/OlxTOCftTRlY1EH6Tt++o5fKTZel/FgJKiPLbtr6emPjgxVkdnJ8tWeEhKSuQ2i67CpnDyaC4smcyba/fh2XU43M0J2Bp1IqvKw8f41hdnc8MFM0NaPMAKyKA58VUCcy2+inqlxwcVBifGenPNXrbsqeXGCyy6CrcvnjudvNEZPLJiM80t7eFuzoC0tnXwx9e28MCfNzEuK5N77yhlfmF4Zr+wAjIIHZ2dlKuXWdOyyUy3+Crajc1yYqyyIJwH8R5u5Ll3tjF7ejZnzrboKtzSUpK48/PFVNc18dw728LdHL9V1h7jZ39Yw+tr9nJhyST+5ZYF5IwOzxQ8YAVkULbvt/gq1pQU5bFt39DGWMejq8QEbrMBgxGjcPJoLlg4iTfW7EV3R36UtXZLJfctK+NgzTH+4erZ3HRhYcgjq+6sgAxCucVXMac0CFO8v7V2H7qnlhvOn0nWyPQhe1wzeNecO4Pc0eksW+GJ2Cirrb2Dp97Yyn//6WNyx2Rwzx2lLJTImLDVCkiALL6KTWOzMpns9sYaCt7aYzz39jZmTcvirDnjh+QxzdBJS3XmyvLWHuP5CIyyquqO8bM/rOXVsj1csGAS/3rLQvLCGFl1ZwUkQDv211NT32xTt8egkqI8KvbVDTrG6ujs5NEVm0lIgNsvs15XkUryx3DBgkm8HmFR1vqtVdy3rIwD1Uf55lWzuPniQlKSI+sjO7JaE0V8va/mFVgBiTW+GGvNIGOsd9btw7O7lhsusOgq0l2zeDo5o9woqzW8UVZbewfPvFnB/c9vJHtUOnffXhqxs1xYAQlApzt1+6lTsyy+ikHjsjKZlDu43lhVtcd45q1tnDp1DGdbdBXx0lOTucONsv70zvawtaOmvomf/3Etqz7azXnzJ/KDWxcydkxm2NrTHysgAdh+oJ7q+uaI/VZgBq+0KJeKvXUcPtI84G07OztZttLjRlfFFl1FieIpYzhvwUReL9/Dlj21IX/+jduquOeRj9hXeZS7rjyVWy8RUpKTQt6OgbACEoByj5ekxATmh2i+GRN6g5kb6531+9m86zDXnV9A9iiLrqLJtYtnkD0qnWUrNocsympr7+DZtyv41bMbyRqZzj23l3JacXRcXMwKyAB1dnZS7qnk1GlZMX/dj3g2PnsYk3KHDbg3VlXdMZ5+q4JTpo7h3LkTgtQ6EyzpqcnccVkRhw4f48/vBj/Kqqlv4hfL17Hyw90snjeBHy5dyNisyI2surMCMkA7Dhyhur7JBg/GgZKivAHFWJ2dnTy60gPA7TbXVdQqnprF4vkTea1sDxV764L2PBu3VXPvsjL2eBv42hWnsPTSooiPrLqzAjJAFl/Fj9KiPDpxJq3zx7sb9vPpzsNcd15BWKeXMIN37eIZZI1M5+EVm2kZ4iirvaOD59/Zxq+e3cDo4ancfVsJnzslOqe3sQIyAJ2dnZR5vBZfxYnx2cOY6GeMVV3XxNNvVlA8ZQznzrPoKtplpCVzx5IiDtU08sJ7Q3fZocNHmvmPP67j5Q92cc7c8fxwaQnjs4cN2eOHmhWQAdh50ImvSsTiq3hRKnls3VtHbUPvMVZnZyePrvLQ2ekMGEy06ComnDI1i8XzJvBK2W4q9g0+ytq0o5p7l33EzkNH+OoXTuH2y4pJTYmuyKo7KyADUOaLrwotvooXJcdjrN4HFb638QCf7Kjh2vNmkGvRVUy59rwCskak8cjLgUdZHR2d/Ond7fzy6Q2MzEzl7ttKOT1GLiZmBcRPTu8rL6dMzWKYxVdxY0LOMCbmDKOslxirpr6Jp9/cSlH+aBbPnxji1plgy0hL5vbLijlY08iLqwceZdU2NPOfT63jr3/byZmzx/PD20qYkBO9kVV3VkD8tPPgEarqmmzuqzhUUpTH1j21n4mxfNFVe0cnty8ptugqRp06LYtz5k5g1Ue72bbf/yjr05013PvIR2zfX8+XP1/MnZ8vJi3KI6vurID46UTvKysg8aa3GGv1xwfYtL2GaxcXRNQMqWboXX9+AWPcKKu1re8oq6Ojkxfe285/PbWe4Zmp/Oi2Es6cHZvT2VgB8YOv91Xx1DEMz7D4Kt5MzBnGhJyTe2NV1R7jqTcqKJw8mvMWWHQV6zLSkrn90iIOVDfy4uqdvd6vrqGZ/3p6PS+9v5PTZ43jR0tLmJg7PHQNDTErIH7YtreOqromSq33VdwqkVy27KmlrqGZzs5OHnhuA+3tHdy5xHpdxYtZ07M5e854Vv59FzsO1H9m/caKSu5dVsa2fXXcsaSIr3zhFNJSYyuy6s4KiB9Wb9jn9r6y+CpeHR9UuKWSv206SPnmQ1yzeAZ5ETxTqhl6158/k9HD03j45c20tnUATmT10uod/Oihv5GZnswPbyvh7DnxMRbI5iLvR2dnJ+9v3E/xFIuv4tnE3OGMz87ktfK91B9t4dTp2VywcFK4m2VCLDM9mdsuLeJXz27gpfd3cFHJZP7PXz7h052HWbxgEtctnk56avx8rMbPKw3Q7kMNHKxu5NLT8sPdFBNmpUV5vPT+TgC+ff08Ejs7w9sgExZzZmRz1uzxvPzBLl7+YBcpyYncflkRX7ygkKqqhnA3L6QswurHocONDMtIYYHFV3Fv0SnOFNvXnDudCTmxe2LU9O+GCwrIHpnG2KxMfri0hHPmTojLyTMTOuPjW9RUYEd1dQMdHQN7vZ2dnQwfmcHRI4O7PnasyM0dQWXlkXA3I2yONLYwIjM17veDTzzvh2PNbaQkJ5Kc5HwPj8V9kZiYQHb2cIBpwM7PrA91g6JNQkKCTZxojhuRmRruJpgIkZGWfLx4xKv4fvXGGGMCZgXEGGNMQKyAGGOMCUjIuvGKSCHwGJANVANLVXVrt/skAfcDlwKdwM9U9ffuunuBbwL73bu/r6r/EJrWG2OM6S6U40AeAh5Q1SdF5Bbgt8D53e5zM1AAzMQpNOtE5HVV3emuf1xVvxeqBhtjjOldSCIsEckDFgDL3UXLgQUi0n1wxfXA71S1Q1UrgReAa0PRRmOMMQMTqiOQycA+VW0HUNV2EdnvLu86R3Y+sKvL77vd+/jcICIXAweBe1T1Az+fPwmcPs2BGsy2scb2hcP2g8P2wwmxti+6vJ4eZ4WMpqlMHgJ+oqqtInIR8KKIFKtqtR/bjgcYMybwK4G5g2kMti98bD84bD+cEMP7YjywrfvCUBWQPcBEEUlyjz6SgAnu8q52A1OAMvf340ckqnrQdydVfU1E9gCzgHf8eP4y4GzgABDYhY2NMSb+JOEUj7KeVoakgKiqV0TWAzcCT7r/rnPPc3T1LPBVEfkTzkn0q3A++BGRiaq6z709D2d6EvWzCc3A6sG+DmOMiUOfOfLwCWWEdRfwmIjcDRwGlgKIyArgblUtB54AFgG+7r0/VlXflex/KiILcY4gWoBbux6VGGOMCa14mUzRGGPMELOR6MYYYwJiBcQYY0xArIAYY4wJiBUQY4wxAbECYowxJiDRNBI9LPyZRThaichOoMn9AfhnVX1FRD6HM9llBs5lLG9RVa+7TUDrIo2I/CdwDc54otmqusld3uvfOxjrwq2P/bCTHt4b7rqYe3+ISDbOMIIZOMMEtgJfV9XKYLzeSN4XA2FHIP3zzSJcCDyA80ePJV9S1Xnuzysikogz2PMf3Nf8LvAzgEDXRagXgHM4ee416PvvHYx14dbbfoBu7w0I/D0QBe+PTuAXqiqqOhtn8NzPgvF6o2Bf+M0KSB8GMItwLFkINKmqb+T+Q8B1g1wXcVR1taqeNJVOX3/vYKwL1msbiJ72Qz9i8v2hqjWq+naXRR/iTKsUjNcb0ftiIKyA9O0zswjjXNBqcp9bRZc/iMhGEXlQREbTbUZkVa0CEkUkaxDrokVff+9grIt03d8bEAfvD/cI4RvASwTn9UbNvuiPFZD4draqzgVKgQTgv8PcHhM54vm98Ruggfh6zQGxAtK347MIw/FL7vY0i3BU8kUXqtoMPAicyYkZkQEQkRygQ1VrBrEuWvT19w7GuojVy3sDYvz94XYqmAlcr6odBOf1RsW+8IcVkD64vSJ8swhD77MIRx0RGSYio9zbCcANOK91DZAhIme5d70LZ5ZkBrEuKvT19w7GuuC/osD08d6AGH5/iMhPcc5PXOUWTgjO6434feEvm0yxHyJShNMFcwzuLMKq6u808hFLRKYDz+PM958EfAp8W1UPiMgZOD2F0jnRxfCQu11A6yKNiNwPfBEYB1QB1ap6al9/72CsC7ee9gNwOb28N9xtYu79ISKnApuALcAxd/EOVb06GK83kvfFQFgBMcYYExCLsIwxxgTECogxxpiAWAExxhgTECsgxhhjAmIFxBhjTECsgJi4JCIrReS2ob5vtBGRm0Xk1XC3w0Qn68ZrooaINHT5NRNoBtrd37+uqn8IfasCJyKLgSdVdZL7+9vu778P0vNNBXYAKaraFoznMPHFrgdiooaqDvfddq9X8RVVfb37/UQkOR4/IEUkyTdpozGhYAXERD3fN3mcSfD+CXhNRL6Nc4GgRTjv8/eBu1R1r7vN27jf9kXkduArOFN4fxmoBb6pqisDuO80nFHn84G/AwqMUtVb+nkNPwHOBj4nIr8CHlXVf3RHsf8GZ4qNSuBHqvqMu82jOKOmpwDnAleKSBrw7zgXRqoDHlbVe92nedf9t1ZEAC4CBKcQn+U+5hnAr4FCnFHZ/0tV/9ZlP7wHnA/MAT4AblLVKhFJB34PXIYzen0r8IVoHF1t/GfnQEysGAdk4XyYfg3nvb3M/T0f54O2r9lVF+F82OcAvwAedueBGuh9/wh8hHP1wXuBW/1pvKr+AOfD+R9VdbhbPIYBr7mPmYczJ9WDInJKl01vAn4CjABWA0eBpcBo4PPAN0TkKve+57j/jnaf44OubXCnE38ZuN9t//8PvCzO1fq6Pt8dbntSge+5y28DRuFMU5+NM7/TMUxMsyMQEys6gHu6TIJ3DGc+J+D4N/y3+th+l6r+zr3vYzgz0I4FDvp7XxFJxZn+/AJVbQFWi8hLg3hNXwB2quoy9/d1IvI8cC1wn7vsRVV9373dBLzdZfuNIrIc5+jkBT+e7/PAVlV9wv19uXskdznwqLtsmapuARCRZ4Ar3OWtOIWjQFU34kwYaGKcFRATKypV1Xf9bkQkE/glcCnOJIYAI/o4T3C8UKhqoxvxDO/hfn3dNweoUdXGLvfdQ+AXj5oCLBKR2i7LknGiua6Pf5yILMK5POosnCOENPyf6XUCn7207S5gYpffuxbURk7soydwXudT7sWnngR+oKqtfj63iUJWQEys6N6d8Ls4+f4iVT0oIvOAdTgXRwqWA0CWiGR2KSIDKR7dX8Me4B1VvWgA2/wRJ6q7TFWb3PMpOb3ct7v9dLlOhSsfWNXPdriF4j7gPre31wqcmO/h/rY10csKiIlVI3BirFo3278n2E+oqrtEpBy4V0R+iHPi+3LgL34+xCFgepff/wr8TERuBZ5yl80DGlR1cy+PMQLnKKhJRE7DOWfhG+dRiRP1Tcc5Qd7dCuA3InIT8AxwDXCK244+ich5ONPBfwrU40RaHf1tZ6KbnUQ3sepXQAbOh9qH+PEteojcDJyOc12Nfweexhmv4o9fA18SkcMicr+qHgEuxjl5vh8nPvo5TizVm28CPxaRI8DdOIUAcOI2nBPu74tIrYh8ruuGqlqNc97lu277v4/Tk6rKj7aPA57DKR6bgXc4OWozMcgGEhoTRCLyNOBR1aAfARkTahZhGTOERKQUqMEZ8X0xcCXOSW1jYo4VEGOG1jjgTzhdWvcC31DVdeFtkjHBYRGWMcaYgNhJdGOMMQGxAmKMMSYgVkCMMcYExAqIMcaYgFgBMcYYExArIMYYYwLyfwGO7kyKD8IMWQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ueoKKD-wljOO",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 375
        },
        "outputId": "e17f388c-79d7-4ae3-aa11-c5e8e76d6991"
      },
      "source": [
        "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 5))\n",
        "t = f.suptitle('Deep Neural Net Performance', fontsize=12)\n",
        "f.subplots_adjust(top=0.85, wspace=0.3)\n",
        "\n",
        "epochs = list(range(1,5+1))\n",
        "ax1.plot(epochs, history.history['accuracy'], label='Train Accuracy')\n",
        "ax1.plot(epochs, history.history['val_accuracy'], label='Validation Accuracy')\n",
        "ax1.set_xticks(epochs)\n",
        "ax1.set_ylabel('Accuracy Value')\n",
        "ax1.set_xlabel('Epoch')\n",
        "ax1.set_title('Accuracy')\n",
        "l1 = ax1.legend(loc=\"best\")\n",
        "\n",
        "ax2.plot(epochs, history.history['loss'], label='Train Loss')\n",
        "ax2.plot(epochs, history.history['val_loss'], label='Validation Loss')\n",
        "ax2.set_xticks(epochs)\n",
        "ax2.set_ylabel('Loss Value')\n",
        "ax2.set_xlabel('Epoch')\n",
        "ax2.set_title('Loss')\n",
        "l2 = ax2.legend(loc=\"best\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 1080x360 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3C4w7UDv-CFy",
        "colab_type": "text"
      },
      "source": [
        "#$Testing \\, the \\, model$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jmANfuLvmWDf",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 67
        },
        "outputId": "ca6b81d9-837f-45bc-b1da-2312bdb31238"
      },
      "source": [
        "print(\"test accuracy = \",final_model.evaluate(x_test,y_test))\n",
        "y_pred_class = final_model.predict(x_test, verbose=1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "81000/81000 [==============================] - 88s 1ms/step\n",
            "test accuracy =  [0.048343804156915055, 0.9845308661460876]\n",
            "81000/81000 [==============================] - 82s 1ms/step\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vCgIFwLhX7DU",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "68a62e27-02d7-476e-8b2f-fd66e80e5c83"
      },
      "source": [
        "print('f1_score =',f1_score(np.argmax(y_test,axis=-1),np.argmax(y_pred_class,axis=-1),average='weighted'))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "f1_score = 0.9845123724131472\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y6OmdUpP84kn",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 796
        },
        "outputId": "c4dfba31-1a26-43c2-eb46-e5b6ebe81751"
      },
      "source": [
        "cm=confusion_matrix(np.argmax(y_test,axis=-1),np.argmax(y_pred_class,axis=-1))\n",
        "fig = go.Figure(data=[go.Table(header=dict(values=['Confusion Matrix ','1','2','3','4','5','6']),\n",
        "                 cells=dict(values=[[\n",
        "                                     'predicted as 1','predicted as 2','predicted as 3',\n",
        "                                     'predicted as 4','predicted as 5',\n",
        "                                     'predicted as 6'\n",
        "                                    ],cm[0,:],cm[1,:],cm[2,:],\n",
        "                                    cm[3,:],cm[4,:],cm[5,:]\n",
        "                                    ]))])\n",
        "fig.show()\n",
        "ax = sns.heatmap(cm, annot=True,cmap=\"YlGnBu\", fmt=\"d\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"360c2a11-15f5-4de7-be72-3263c63d2f19\" class=\"plotly-graph-div\" style=\"height:525px; width:100%;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"360c2a11-15f5-4de7-be72-3263c63d2f19\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        '360c2a11-15f5-4de7-be72-3263c63d2f19',\n",
              "                        [{\"cells\": {\"values\": [[\"predicted as 1\", \"predicted as 2\", \"predicted as 3\", \"predicted as 4\", \"predicted as 5\", \"predicted as 6\"], [3631, 19, 0, 0, 64, 0], [3, 18143, 5, 216, 0, 0], [0, 27, 13975, 179, 4, 0], [0, 625, 61, 11910, 0, 0], [34, 12, 1, 0, 2023, 0], [0, 0, 3, 0, 0, 30065]]}, \"header\": {\"values\": [\"Confusion Matrix \", \"1\", \"2\", \"3\", \"4\", \"5\", \"6\"]}, \"type\": \"table\"}],\n",
              "                        {\"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('360c2a11-15f5-4de7-be72-3263c63d2f19');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sGKLs5c7TVst",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 235
        },
        "outputId": "3c2cf355-4964-445e-fe37-2b9d50fec70a"
      },
      "source": [
        "label_names=['barren land', 'trees', 'grassland', 'roads', 'buildings', 'water bodies']\n",
        "print(classification_report(np.argmax(y_test,axis=-1),np.argmax(y_pred_class,axis=-1),\n",
        "\ttarget_names=label_names))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "              precision    recall  f1-score   support\n",
            "\n",
            " barren land       0.99      0.98      0.98      3714\n",
            "       trees       0.96      0.99      0.98     18367\n",
            "   grassland       1.00      0.99      0.99     14185\n",
            "       roads       0.97      0.95      0.96     12596\n",
            "   buildings       0.97      0.98      0.97      2070\n",
            "water bodies       1.00      1.00      1.00     30068\n",
            "\n",
            "    accuracy                           0.98     81000\n",
            "   macro avg       0.98      0.98      0.98     81000\n",
            "weighted avg       0.98      0.98      0.98     81000\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}