Texture_Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 444,
   "metadata": {},
   "outputs": [],
   "source": [
    "import skimage.io as io\n",
    "from skimage.color import rgb2gray,rgb2hsv,hsv2rgb\n",
    "from skimage.exposure import histogram\n",
    "from skimage.feature import graycomatrix, graycoprops\n",
    "from skimage.feature import local_binary_pattern\n",
    "from skimage.filters import gabor\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.pyplot import bar\n",
    "import numpy as np\n",
    "import os\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Color Features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Extract color features ( HSV Color Model )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 445,
   "metadata": {},
   "outputs": [],
   "source": [
    "def extract_hsv_features(image):\n",
    "    img_hsv = (rgb2hsv(image)*255).astype(np.uint8)\n",
    "\n",
    "    h_hist,h_bins = histogram(img_hsv[:,:,0], nbins=256)\n",
    "    s_hist,s_bins = histogram(img_hsv[:,:,1], nbins=256)\n",
    "    v_hist,v_bins = histogram(img_hsv[:,:,2], nbins=256)\n",
    "\n",
    "    h_bins = h_bins.astype(np.uint8)\n",
    "    s_bins = s_bins.astype(np.uint8)\n",
    "    v_bins = v_bins.astype(np.uint8)\n",
    "\n",
    "    hue = np.zeros(256,dtype=int)\n",
    "    saturation = np.zeros(256,dtype=int)\n",
    "    value = np.zeros(256,dtype=int)\n",
    "\n",
    "    for i in range(h_bins.size):\n",
    "        hue[h_bins[i]]=h_hist[i]\n",
    "\n",
    "    for i in range(s_bins.size):\n",
    "        saturation[s_bins[i]]=s_hist[i]\n",
    "\n",
    "    for i in range(v_bins.size):\n",
    "        value[v_bins[i]]=v_hist[i]\n",
    "\n",
    "    histograms=hue.tolist()+saturation.tolist()+value.tolist()\n",
    "\n",
    "    return histograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 446,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_column_hsv_feature(nbins):\n",
    "    labels = np.zeros(3*nbins+1, dtype='<U20')\n",
    "    for i in range(nbins):\n",
    "        labels[i] = f'Hue_{i}'\n",
    "        labels[i+256] = f'Saturation_{i}'\n",
    "        labels[i+512] = f'Value_{i}'\n",
    "        labels[256*3]='label'\n",
    "    return labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 447,
   "metadata": {},
   "outputs": [],
   "source": [
    "columns = create_column_hsv_feature(256)\n",
    "\n",
    "data =[]\n",
    "\n",
    "base_path = 'archive/Train/Train'\n",
    "categories = ['Healthy','Powdery','Rust']\n",
    "for category in categories:\n",
    "    images = os.listdir(f'{base_path}/{category}')\n",
    "    \n",
    "    for image in images:\n",
    "        image_path = f'{base_path}/{category}/{image}'\n",
    "        img = io.imread(image_path)\n",
    "        \n",
    "        img_features = extract_hsv_features(img)\n",
    "\n",
    "        if category == 'Healthy':\n",
    "            img_features.append(0)\n",
    "        elif category == 'Powdery':\n",
    "            img_features.append(1)\n",
    "        else:\n",
    "            img_features.append(2)\n",
    "    \n",
    "        data.append(img_features)\n",
    "\n",
    "pd.DataFrame(data,columns=columns).to_csv('Features/hsv_features.csv',index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Extract color features ( RGB Color Model )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 448,
   "metadata": {},
   "outputs": [],
   "source": [
    "def extract_rgb_features(image):\n",
    "    \n",
    "    r_hist,r_bins = histogram(image[:,:,0], nbins=256)\n",
    "    g_hist,g_bins = histogram(image[:,:,1], nbins=256)\n",
    "    b_hist,b_bins = histogram(image[:,:,2], nbins=256)\n",
    "\n",
    "    r_bins = r_bins.astype(np.uint8)\n",
    "    g_bins = g_bins.astype(np.uint8)\n",
    "    b_bins = b_bins.astype(np.uint8)\n",
    "\n",
    "    red = np.zeros(256,dtype=int)\n",
    "    green = np.zeros(256,dtype=int)\n",
    "    blue = np.zeros(256,dtype=int)\n",
    "\n",
    "    for i in range(r_bins.size):\n",
    "        red[r_bins[i]]=r_hist[i]\n",
    "\n",
    "    for i in range(g_bins.size):\n",
    "        green[g_bins[i]]=g_hist[i]\n",
    "    \n",
    "    for i in range(b_bins.size):\n",
    "        blue[b_bins[i]]=b_hist[i]\n",
    "\n",
    "    histograms=red.tolist()+green.tolist()+blue.tolist()\n",
    "\n",
    "    return histograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 449,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_column_rgb_feature(nbins):\n",
    "    labels = np.zeros(3*nbins+1, dtype='<U20')\n",
    "    for i in range(nbins):\n",
    "        labels[i] = f'Red_{i}'\n",
    "        labels[i+256] = f'Green_{i}'\n",
    "        labels[i+512] = f'Blue_{i}'\n",
    "    labels[256*3]='label'\n",
    "    return labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 450,
   "metadata": {},
   "outputs": [],
   "source": [
    "columns = create_column_rgb_feature(256)\n",
    "\n",
    "data =[]\n",
    "\n",
    "base_path = 'archive/Train/Train'\n",
    "categories = ['Healthy','Powdery','Rust']\n",
    "\n",
    "for category in categories:\n",
    "    images = os.listdir(f'{base_path}/{category}')\n",
    "    for image in images:\n",
    "        image_path = f'{base_path}/{category}/{image}'\n",
    "        img = io.imread(image_path)\n",
    "        img_features = extract_rgb_features(img)\n",
    "\n",
    "        if category == 'Healthy':\n",
    "            img_features.append(0)\n",
    "        elif category == 'Powdery':\n",
    "            img_features.append(1)\n",
    "        else:\n",
    "            img_features.append(2)\n",
    "    \n",
    "        data.append(img_features)\n",
    "\n",
    "pd.DataFrame(data,columns=columns).to_csv('Features/rgb_features.csv',index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## GLCM\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 451,
   "metadata": {},
   "outputs": [],
   "source": [
    "def extract_glcm_feature(image):\n",
    "    gray_image = (rgb2gray(image)*255).astype(np.uint8)\n",
    "    glcm = graycomatrix(gray_image,distances = [1],angles=[0],levels=256,symmetric=True)\n",
    "\n",
    "    contrast = graycoprops(glcm,prop='contrast')\n",
    "    dissimilarity = graycoprops(glcm,prop='dissimilarity')\n",
    "    homogeneity = graycoprops(glcm,prop='homogeneity')\n",
    "    asm = graycoprops(glcm,prop='ASM')\n",
    "    energy = graycoprops(glcm,prop='energy')\n",
    "    correlation = graycoprops(glcm,prop='correlation')\n",
    "\n",
    "    feature = [contrast[0][0],dissimilarity[0][0],homogeneity[0][0],asm[0][0],energy[0][0],correlation[0][0]]\n",
    "    \n",
    "    return feature\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 452,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_column_glcm_feature():\n",
    "    labels = ['contrast','dissimilarity','homogeneity','asm','energy','correlation','label']\n",
    "    return labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 453,
   "metadata": {},
   "outputs": [],
   "source": [
    "columns = create_column_glcm_feature()\n",
    "\n",
    "data =[]\n",
    "\n",
    "base_path = 'archive/Train/Train'\n",
    "categories = ['Healthy','Powdery','Rust']\n",
    "\n",
    "for category in categories:\n",
    "    images = os.listdir(f'{base_path}/{category}')\n",
    "    for image in images:\n",
    "\n",
    "        image_path = f'{base_path}/{category}/{image}'\n",
    "        img = io.imread(image_path)\n",
    "        \n",
    "        img_features = extract_glcm_feature(img)\n",
    "\n",
    "        if category == 'Healthy':\n",
    "            img_features.append(0)\n",
    "        elif category == 'Powdery':\n",
    "            img_features.append(1)\n",
    "        else:\n",
    "            img_features.append(2)\n",
    "\n",
    "        data.append(img_features)\n",
    "\n",
    "pd.DataFrame(data,columns=columns).to_csv('Features/glcm_features.csv',index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LBP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 454,
   "metadata": {},
   "outputs": [],
   "source": [
    "def custom_local_binary_pattern(image):\n",
    "    R=1 # Radius\n",
    "    P=8 # Number of neighbors\n",
    "\n",
    "    # Compute the dimensions of the padded image\n",
    "    pad_width = R\n",
    "    padded_image = np.pad(image, pad_width, mode='constant', constant_values=0)\n",
    "    \n",
    "    # Initialize the LBP image\n",
    "    lbp_image = np.zeros_like(image)\n",
    "    \n",
    "    # Iterate over each pixel in the image\n",
    "    for i in range(R, padded_image.shape[0] - R):\n",
    "        for j in range(R, padded_image.shape[1] - R):\n",
    "            center_value = padded_image[i,j]\n",
    "            # Extract the region of interest\n",
    "            region = padded_image[i - R:i + R + 1, j - R:j + R + 1]\n",
    "            \n",
    "            # Compute the binary pattern\n",
    "            binary_pattern = (region > center_value) * 1\n",
    "            \n",
    "            # Compute the decimal value of the binary pattern            \n",
    "            binary_string=''\n",
    "            for k in range(3):\n",
    "                binary_string+=str(binary_pattern[0,k])\n",
    "            binary_string+=str(binary_pattern[1,2])\n",
    "            for k in range(2,-1,-1):\n",
    "                binary_string+=str(binary_pattern[2,k])\n",
    "            binary_string+=str(binary_pattern[1,0])\n",
    "                    \n",
    "            \n",
    "            # Store the decimal value in the LBP image\n",
    "            lbp_image[i - R, j - R] = int(binary_string, 2)\n",
    "    \n",
    "    return lbp_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 455,
   "metadata": {},
   "outputs": [],
   "source": [
    "def extract_lbp_feature(image):\n",
    "    gray_image = (rgb2gray(image)*255).astype(np.uint8)\n",
    "    lbp_image = local_binary_pattern(gray_image,P=8,R=1,method='default')\n",
    "\n",
    "    lbp_hist,lbp_bins = histogram(lbp_image, nbins=256)\n",
    "    lbp_bins = lbp_bins.astype(np.uint8)\n",
    "\n",
    "    lbp = np.zeros(256,dtype=int)\n",
    "\n",
    "    for i in range(lbp_bins.size):\n",
    "        lbp[lbp_bins[i]]=lbp_hist[i]\n",
    "\n",
    "    return lbp.tolist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 456,
   "metadata": {},
   "outputs": [],
   "source": [
    "columns = [f'LBP_Bin_{i}' for i in range(256)]\n",
    "columns.append('label')\n",
    "\n",
    "data =[]\n",
    "\n",
    "base_path = 'archive/Train/Train'\n",
    "categories = ['Healthy','Powdery','Rust']\n",
    "\n",
    "for category in categories:\n",
    "    images = os.listdir(f'{base_path}/{category}')\n",
    "    for image in images:\n",
    "        image_path = f'{base_path}/{category}/{image}'\n",
    "        img = io.imread(image_path)\n",
    "        \n",
    "        img_features = extract_lbp_feature(img)\n",
    "\n",
    "        if category == 'Healthy':\n",
    "            img_features.append(0)\n",
    "        elif category == 'Powdery':\n",
    "            img_features.append(1)\n",
    "        else:\n",
    "            img_features.append(2)\n",
    "\n",
    "        data.append(img_features)\n",
    "\n",
    "pd.DataFrame(data,columns=columns).to_csv('Features/lbp_features.csv',index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gabor filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 457,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_column_gabor_feature(frequencies,orientations):\n",
    "    columns = []\n",
    "    for freq in frequencies:\n",
    "        for theta in orientations:\n",
    "            columns.append(f'Gabor_mean_freq{freq}_theta{theta}')\n",
    "            columns.append(f'Gabor_std_freq{freq}_theta{theta}')\n",
    "    return columns\n",
    "\n",
    "\n",
    "def extract_gabor_features(image,frequencies,orientations):\n",
    "    gray_image = (rgb2gray(image)*255).astype(np.uint8)\n",
    "    features = []\n",
    "    for freq in frequencies:\n",
    "        for theta in orientations:\n",
    "            print((freq,theta))\n",
    "            real,imaginary = gabor(gray_image, frequency=freq,theta=theta)\n",
    "            features.append(real.mean())\n",
    "            features.append(real.std())\n",
    "    return features\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n",
      "(0.8, 135)\n",
      "(1, 0)\n",
      "(1, 45)\n",
      "(1, 90)\n",
      "(1, 135)\n",
      "(0.2, 0)\n",
      "(0.2, 45)\n",
      "(0.2, 90)\n",
      "(0.2, 135)\n",
      "(0.4, 0)\n",
      "(0.4, 45)\n",
      "(0.4, 90)\n",
      "(0.4, 135)\n",
      "(0.6, 0)\n",
      "(0.6, 45)\n",
      "(0.6, 90)\n",
      "(0.6, 135)\n",
      "(0.8, 0)\n",
      "(0.8, 45)\n",
      "(0.8, 90)\n"
     ]
    }
   ],
   "source": [
    "frequencies = [0.2,0.4,0.6,0.8,1]\n",
    "orientations = [0,45,90,135]\n",
    "\n",
    "columns = create_column_gabor_feature(frequencies,orientations)\n",
    "columns.append('label')\n",
    "\n",
    "data =[]\n",
    "\n",
    "base_path = 'archive/Train/Train'\n",
    "categories = ['Healthy','Powdery','Rust']\n",
    "\n",
    "for category in categories:\n",
    "    images = os.listdir(f'{base_path}/{category}')\n",
    "    for image in images:\n",
    "        image_path = f'{base_path}/{category}/{image}'\n",
    "        img = io.imread(image_path)\n",
    "        \n",
    "        img_features = extract_gabor_features(img,frequencies,orientations)\n",
    "\n",
    "        if category == 'Healthy':\n",
    "            img_features.append(0)\n",
    "        elif category == 'Powdery':\n",
    "            img_features.append(1)\n",
    "        else:\n",
    "            img_features.append(2)\n",
    "\n",
    "        data.append(img_features)\n",
    "\n",
    "pd.DataFrame(data,columns=columns).to_csv('Features/gabor_features.csv',index=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}