histogram_groups.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "from metric_learn import Covariance\n",
    "from visiprog.data import *\n",
    "\n",
    "from IPython.display import Image, display\n",
    "\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "groups, materials = read_VSP_group()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "4\n",
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      "[278, 302, 276, 320, 300, 318, 321, 301, 299]\n",
      "4\n",
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      "5\n",
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      "6\n",
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      "6\n",
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      "6\n",
      "[463, 485, 466, 465, 442, 405, 441, 492, 493]\n",
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      "7\n",
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      "7\n",
      "[515, 548, 516, 546, 566, 540, 568, 567, 542]\n",
      "7\n",
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      "7\n",
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      "7\n",
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      "8\n",
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      "8\n",
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      "8\n",
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      "8\n",
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      "9\n",
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      "9\n",
      "[756, 755, 738, 736, 716, 680, 713, 737, 714]\n",
      "9\n",
      "[778, 780, 776, 812, 773, 835, 809, 811, 774]\n",
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      "[810, 836, 774, 854, 811, 855, 837, 856, 838]\n",
      "10\n",
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      "16\n",
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      "17\n",
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      "17\n",
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      "17\n",
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      "18\n",
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      "18\n",
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      "18\n",
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      "18\n",
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      "18\n",
      "[1532, 1512, 1508, 1503, 1557, 1497, 1501, 1511, 1555]\n",
      "18\n",
      "[1532, 1530, 1498, 1570, 1500, 1505, 1495, 1501, 1528]\n",
      "18\n",
      "[1537, 1511, 1499, 1507, 1497, 1570, 1509, 1508, 1552]\n",
      "18\n",
      "[1550, 1495, 1529, 1549, 1552, 1502, 1554, 1499, 1492]\n",
      "18\n",
      "[1557, 1555, 1510, 1507, 1534, 1513, 1556, 1514, 1503]\n",
      "18\n",
      "[1558, 1542, 1561, 1540, 1484, 1559, 1516, 1518, 1517]\n",
      "18\n",
      "[1572, 1574, 1573, 1563, 1562, 1545, 1564, 1544, 1565]\n",
      "18\n",
      "[1578, 1639, 1613, 1638, 1640, 1615, 1616, 1664, 1666]\n",
      "19\n",
      "[1589, 1590, 1622, 1600, 1661, 1625, 1594, 1593, 1644]\n",
      "19\n",
      "[1602, 1628, 1662, 1603, 1647, 1648, 1646, 1627, 1595]\n",
      "19\n",
      "[1606, 1629, 1626, 1630, 1648, 1595, 1649, 1628, 1662]\n",
      "19\n",
      "[1610, 1636, 1611, 1635, 1634, 1654, 1576, 1656, 1613]\n",
      "19\n",
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      "19\n",
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      "19\n",
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      "20\n",
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      "20\n",
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      "20\n",
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      "20\n",
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      "20\n",
      "[1711, 1733, 1734, 1678, 1731, 1676, 1732, 1708, 1707]\n",
      "20\n",
      "[1715, 1712, 1686, 1682, 1714, 1679, 1713, 1681, 1680]\n",
      "20\n",
      "[1716, 1739, 1721, 1741, 1695, 1697, 1692, 1693, 1740]\n",
      "20\n",
      "[1738, 1719, 1684, 1716, 1691, 1713, 1736, 1685, 1717]\n",
      "20\n",
      "[1755, 1725, 1701, 1702, 1742, 1703, 1726, 1668, 1743]\n",
      "20\n",
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      "21\n",
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      "21\n",
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      "21\n",
      "[1792, 1794, 1835, 1817, 1834, 1836, 1816, 1795, 1793]\n",
      "21\n",
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      "21\n",
      "[1810, 1783, 1779, 1780, 1788, 1813, 1777, 1815, 1786]\n",
      "21\n",
      "[1819, 1762, 1820, 1797, 1796, 1839, 1764, 1821, 1761]\n",
      "21\n",
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      "21\n",
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      "22\n",
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      "22\n",
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      "22\n",
      "[1903, 1900, 1871, 1905, 1872, 1881, 1907, 1925, 1880]\n",
      "22\n",
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      "22\n",
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      "22\n",
      "[1914, 1941, 1890, 1940, 1857, 1856, 1913, 1855, 1932]\n",
      "22\n",
      "[1943, 1859, 1936, 1864, 1893, 1861, 1894, 1892, 1860]\n",
      "22\n",
      "[1963, 2015, 1970, 1996, 2030, 1989, 2013, 2016, 2014]\n",
      "24\n",
      "[1973, 1970, 1968, 1961, 1972, 1964, 1963, 1969, 1971]\n",
      "24\n",
      "[1980, 2005, 1946, 1948, 1949, 1981, 2007, 1982, 2022]\n",
      "24\n",
      "[1984, 2008, 2035, 1983, 1986, 1952, 1950, 1987, 2027]\n",
      "24\n",
      "[1988, 1955, 1992, 1962, 1963, 1998, 1995, 1964, 1969]\n",
      "24\n",
      "[1995, 1973, 1960, 1968, 1996, 1974, 1966, 1988, 2030]\n",
      "24\n",
      "[2017, 1966, 1958, 1965, 1959, 1960, 1990, 1993, 1967]\n",
      "24\n",
      "[2039, 2041, 2074, 2095, 2038, 2098, 2073, 2117, 2097]\n",
      "25\n",
      "[2044, 2047, 2043, 2077, 2046, 2076, 2101, 2078, 2042]\n",
      "25\n",
      "[2048, 2078, 2046, 2101, 2102, 2077, 2075, 2079, 2047]\n",
      "25\n",
      "[2054, 2049, 2051, 2080, 2050, 2079, 2053, 2052, 2048]\n",
      "25\n",
      "[2057, 2086, 2052, 2102, 2120, 2079, 2050, 2056, 2053]\n",
      "25\n",
      "[2058, 2089, 2063, 2066, 2088, 2061, 2090, 2067, 2104]\n",
      "25\n",
      "[2061, 2087, 2107, 2065, 2085, 2088, 2109, 2083, 2104]\n",
      "25\n",
      "[2087, 2061, 2065, 2067, 2108, 2090, 2085, 2063, 2088]\n",
      "25\n",
      "[2108, 2106, 2087, 2107, 2090, 2067, 2085, 2065, 2063]\n",
      "25\n",
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      "26\n",
      "[2174, 2195, 2142, 2155, 2149, 2143, 2210, 2147, 2173]\n",
      "26\n",
      "[2179, 2147, 2155, 2153, 2172, 2152, 2148, 2145, 2175]\n",
      "26\n",
      "[2183, 2184, 2203, 2162, 2202, 2186, 2128, 2213, 2214]\n",
      "26\n",
      "[2190, 2187, 2165, 2188, 2189, 2208, 2130, 2132, 2163]\n",
      "26\n",
      "[2194, 2191, 2193, 2215, 2207, 2166, 2206, 2130, 2134]\n",
      "26\n",
      "[2201, 2157, 2156, 2200, 2211, 2181, 2124, 2158, 2159]\n",
      "26\n",
      "[2270, 2240, 2269, 2242, 2247, 2263, 2236, 2285, 2266]\n",
      "27\n",
      "[2272, 2290, 2248, 2249, 2218, 2291, 2276, 2252, 2275]\n",
      "27\n",
      "[2279, 2256, 2240, 2259, 2281, 2239, 2305, 2231, 2224]\n",
      "27\n",
      "[2283, 2263, 2305, 2259, 2279, 2304, 2228, 2255, 2239]\n",
      "27\n",
      "[2289, 2241, 2235, 2298, 2288, 2247, 2234, 2239, 2263]\n",
      "27\n",
      "[2293, 2277, 2253, 2292, 2219, 2221, 2276, 2296, 2250]\n",
      "27\n",
      "[2299, 2264, 2243, 2261, 2263, 2240, 2283, 2271, 2285]\n",
      "27\n",
      "[2338, 2330, 2353, 2378, 2376, 2326, 2351, 2393, 2357]\n",
      "28\n",
      "[2351, 2349, 2372, 2347, 2374, 2317, 2373, 2371, 2316]\n",
      "28\n",
      "[2356, 2330, 2379, 2358, 2360, 2335, 2338, 2333, 2355]\n",
      "28\n",
      "[2368, 2398, 2312, 2310, 2370, 2313, 2345, 2346, 2347]\n",
      "28\n",
      "[2392, 2372, 2349, 2351, 2318, 2317, 2348, 2347, 2373]\n",
      "28\n",
      "[2396, 2387, 2370, 2310, 2345, 2386, 2368, 2388, 2346]\n",
      "28\n",
      "[2421, 2420, 2425, 2415, 2448, 2449, 2414, 2446, 2472]\n",
      "29\n",
      "[2435, 2434, 2487, 2457, 2456, 2433, 2400, 2477, 2474]\n",
      "29\n",
      "[2439, 2481, 2404, 2461, 2438, 2401, 2478, 2462, 2402]\n",
      "29\n",
      "[2448, 2468, 2469, 2451, 2446, 2453, 2466, 2486, 2472]\n",
      "29\n",
      "[2470, 2448, 2447, 2445, 2485, 2444, 2469, 2446, 2465]\n",
      "29\n",
      "[2471, 2473, 2426, 2418, 2419, 2422, 2417, 2420, 2430]\n",
      "29\n",
      "[2475, 2434, 2432, 2456, 2400, 2433, 2457, 2476, 2435]\n",
      "29\n",
      "[2477, 2434, 2433, 2456, 2432, 2474, 2400, 2435, 2457]\n",
      "29\n",
      "[2481, 2483, 2488, 2442, 2463, 2482, 2443, 2464, 2440]\n",
      "29\n",
      "[2489, 2490, 2480, 2439, 2462, 2463, 2406, 2438, 2482]\n",
      "29\n",
      "[2498, 2494, 2534, 2535, 2561, 2532, 2563, 2558, 2574]\n",
      "30\n",
      "[2514, 2541, 2537, 2540, 2507, 2510, 2544, 2536, 2538]\n",
      "30\n",
      "[2517, 2508, 2509, 2536, 2506, 2513, 2539, 2541, 2510]\n",
      "30\n",
      "[2523, 2518, 2520, 2545, 2522, 2565, 2521, 2546, 2544]\n",
      "30\n",
      "[2530, 2555, 2552, 2529, 2573, 2528, 2553, 2493, 2572]\n",
      "30\n",
      "[2539, 2564, 2543, 2541, 2517, 2513, 2544, 2546, 2507]\n",
      "30\n",
      "[2543, 2544, 2542, 2519, 2516, 2546, 2522, 2545, 2540]\n",
      "30\n",
      "[2551, 2527, 2568, 2567, 2566, 2549, 2526, 2548, 2569]\n",
      "30\n",
      "[2565, 2522, 2519, 2518, 2521, 2544, 2514, 2543, 2517]\n",
      "30\n",
      "[2575, 2500, 2494, 2531, 2555, 2556, 2554, 2535, 2529]\n",
      "30\n",
      "[2590, 2643, 2589, 2662, 2664, 2663, 2645, 2623, 2624]\n",
      "31\n",
      "[2642, 2619, 2616, 2659, 2661, 2640, 2617, 2658, 2641]\n",
      "31\n",
      "[2646, 2588, 2644, 2586, 2620, 2621, 2662, 2643, 2622]\n",
      "31\n",
      "[2667, 2602, 2629, 2599, 2627, 2600, 2651, 2596, 2666]\n",
      "31\n",
      "[2668, 2596, 2667, 2627, 2648, 2647, 2626, 2650, 2592]\n",
      "31\n",
      "[2679, 2702, 2691, 2699, 2692, 2703, 2690, 2696, 2726]\n",
      "32\n",
      "[2681, 2684, 2749, 2725, 2717, 2680, 2730, 2727, 2688]\n",
      "32\n",
      "[2685, 2694, 2704, 2695, 2728, 2693, 2696, 2727, 2697]\n",
      "32\n",
      "[2706, 2694, 2722, 2687, 2726, 2730, 2705, 2723, 2720]\n",
      "32\n",
      "[2716, 2713, 2676, 2742, 2714, 2739, 2678, 2759, 2740]\n",
      "32\n",
      "[2722, 2746, 2744, 2677, 2742, 2680, 2721, 2679, 2747]\n",
      "32\n",
      "[2778, 2829, 2774, 2775, 2807, 2808, 2780, 2776, 2830]\n",
      "33\n",
      "[2782, 2814, 2834, 2786, 2788, 2811, 2809, 2779, 2848]\n",
      "33\n",
      "[2810, 2787, 2777, 2809, 2785, 2812, 2818, 2832, 2849]\n",
      "33\n",
      "[2813, 2784, 2787, 2834, 2783, 2848, 2792, 2811, 2831]\n",
      "33\n",
      "[2825, 2805, 2826, 2844, 2804, 2843, 2803, 2842, 2770]\n",
      "33\n",
      "[2841, 2797, 2799, 2820, 2852, 2790, 2793, 2858, 2839]\n",
      "33\n",
      "[2844, 2826, 2800, 2802, 2768, 2769, 2845, 2805, 2804]\n",
      "33\n",
      "[2846, 2810, 2781, 2791, 2780, 2833, 2775, 2779, 2831]\n",
      "33\n",
      "[2850, 2840, 2817, 2836, 2857, 2856, 2822, 2851, 2858]\n",
      "33\n",
      "[2851, 2839, 2799, 2852, 2835, 2841, 2815, 2793, 2837]\n",
      "33\n",
      "[2863, 2899, 2918, 2920, 2934, 2937, 2864, 2922, 2916]\n",
      "34\n",
      "[2876, 2925, 2924, 2880, 2877, 2903, 2913, 2874, 2886]\n",
      "34\n",
      "[2886, 2880, 2904, 2873, 2915, 2910, 2879, 2924, 2941]\n",
      "34\n",
      "[2913, 2925, 2873, 2904, 2923, 2867, 2903, 2878, 2888]\n",
      "34\n",
      "[2939, 2875, 2926, 2883, 2901, 2941, 2902, 2877, 2888]\n",
      "34\n",
      "[2947, 2921, 2865, 2936, 2863, 2918, 2866, 2897, 2862]\n",
      "34\n",
      "[2949, 2948, 2943, 2931, 2950, 2944, 2927, 2885, 2928]\n",
      "34\n",
      "[2958, 2999, 2976, 2966, 2959, 3000, 2972, 2963, 2965]\n",
      "35\n",
      "[2970, 2974, 2979, 2977, 2964, 2982, 2968, 2978, 2975]\n",
      "35\n",
      "[2983, 3009, 3007, 3028, 3026, 3029, 3030, 3027, 3040]\n",
      "35\n",
      "[2997, 2995, 3000, 3002, 2998, 2991, 3023, 3022, 3020]\n",
      "35\n",
      "[3006, 2969, 2972, 3003, 2962, 3001, 2961, 2980, 2975]\n",
      "35\n",
      "[3035, 3036, 3032, 3042, 3039, 3033, 3034, 3040, 3041]\n",
      "35\n",
      "[3047, 3132, 3122, 3045, 3123, 3124, 3103, 3104, 3081]\n",
      "36\n",
      "[3057, 3069, 3087, 3089, 3065, 3059, 3067, 3058, 3056]\n",
      "36\n",
      "[3066, 3112, 3098, 3129, 3061, 3065, 3094, 3068, 3113]\n",
      "36\n",
      "[3093, 3115, 3098, 3073, 3096, 3092, 3095, 3072, 3094]\n",
      "36\n",
      "[3114, 3071, 3074, 3072, 3097, 3066, 3116, 3095, 3064]\n",
      "36\n",
      "[3119, 3077, 3078, 3099, 3117, 3075, 3118, 3076, 3101]\n",
      "36\n",
      "[3129, 3060, 3074, 3062, 3092, 3063, 3093, 3113, 3112]\n",
      "36\n",
      "[3137, 3172, 3173, 3171, 3216, 3195, 3136, 3214, 3198]\n",
      "37\n",
      "[3147, 3143, 3153, 3219, 3145, 3149, 3203, 3226, 3179]\n",
      "37\n",
      "[3149, 3154, 3151, 3205, 3150, 3146, 3181, 3143, 3153]\n",
      "37\n",
      "[3154, 3206, 3156, 3164, 3160, 3165, 3183, 3158, 3188]\n",
      "37\n",
      "[3188, 3179, 3163, 3207, 3187, 3184, 3208, 3158, 3153]\n",
      "37\n",
      "[3220, 3180, 3144, 3199, 3176, 3201, 3139, 3217, 3145]\n",
      "37\n",
      "[3226, 3205, 3140, 3177, 3174, 3138, 3203, 3178, 3218]\n",
      "37\n",
      "[3227, 3284, 3302, 3261, 3259, 3260, 3301, 3262, 3303]\n",
      "38\n",
      "[3241, 3253, 3299, 3279, 3240, 3249, 3298, 3296, 3275]\n",
      "38\n",
      "[3243, 3281, 3280, 3258, 3250, 3275, 3300, 3242, 3273]\n",
      "38\n",
      "[3245, 3274, 3282, 3295, 3236, 3313, 3273, 3294, 3276]\n",
      "38\n",
      "[3254, 3248, 3247, 3241, 3280, 3246, 3279, 3276, 3273]\n",
      "38\n",
      "[3256, 3254, 3252, 3251, 3253, 3277, 3246, 3298, 3247]\n",
      "38\n",
      "[3288, 3266, 3287, 3264, 3228, 3286, 3305, 3263, 3231]\n",
      "38\n",
      "[3320, 3323, 3321, 3379, 3356, 3357, 3381, 3378, 3355]\n",
      "39\n",
      "[3322, 3357, 3380, 3379, 3378, 3320, 3323, 3324, 3356]\n",
      "39\n",
      "[3325, 3327, 3359, 3358, 3328, 3361, 3331, 3329, 3362]\n",
      "39\n",
      "[3339, 3345, 3341, 3335, 3363, 3372, 3369, 3340, 3368]\n",
      "39\n",
      "[3352, 3375, 3376, 3319, 3393, 3394, 3395, 3353, 3396]\n",
      "39\n",
      "[3370, 3340, 3391, 3368, 3389, 3390, 3387, 3336, 3392]\n",
      "39\n",
      "[3373, 3343, 3348, 3347, 3372, 3344, 3350, 3340, 3365]\n",
      "39\n",
      "[3374, 3346, 3405, 3388, 3387, 3340, 3333, 3367, 3368]\n",
      "39\n",
      "[3411, 3471, 3487, 3488, 3469, 3445, 3443, 3446, 3470]\n",
      "40\n",
      "[3414, 3494, 3492, 3475, 3453, 3454, 3423, 3478, 3477]\n",
      "40\n",
      "[3415, 3448, 3491, 3472, 3449, 3489, 3450, 3490, 3473]\n",
      "40\n",
      "[3430, 3438, 3460, 3427, 3442, 3432, 3424, 3482, 3479]\n",
      "40\n",
      "[3466, 3483, 3459, 3420, 3424, 3422, 3436, 3440, 3439]\n",
      "40\n",
      "[3478, 3456, 3454, 3453, 3414, 3494, 3419, 3416, 3475]\n",
      "40\n",
      "[3488, 3487, 3445, 3446, 3468, 3467, 3411, 3443, 3486]\n",
      "40\n",
      "[3510, 3544, 3543, 3515, 3513, 3567, 3568, 3545, 3569]\n",
      "41\n",
      "[3518, 3547, 3514, 3546, 3553, 3545, 3516, 3521, 3569]\n",
      "41\n",
      "[3519, 3526, 3558, 3517, 3549, 3556, 3518, 3547, 3522]\n",
      "41\n",
      "[3520, 3527, 3555, 3556, 3529, 3524, 3558, 3549, 3576]\n",
      "41\n",
      "[3551, 3572, 3587, 3522, 3576, 3517, 3553, 3546, 3519]\n",
      "41\n",
      "[3565, 3577, 3580, 3504, 3579, 3563, 3578, 3505, 3540]\n",
      "41\n",
      "[3565, 3584, 3505, 3508, 3509, 3541, 3506, 3504, 3542]\n",
      "41\n",
      "[3571, 3557, 3574, 3532, 3534, 3552, 3528, 3530, 3575]\n",
      "41\n",
      "[3599, 3630, 3597, 3633, 3598, 3676, 3629, 3655, 3634]\n",
      "42\n",
      "[3618, 3636, 3660, 3637, 3658, 3605, 3601, 3609, 3655]\n",
      "42\n",
      "[3620, 3618, 3645, 3622, 3614, 3619, 3615, 3646, 3621]\n",
      "42\n",
      "[3632, 3659, 3637, 3601, 3631, 3636, 3597, 3633, 3634]\n",
      "42\n",
      "[3638, 3609, 3612, 3640, 3606, 3603, 3636, 3661, 3642]\n",
      "42\n",
      "[3644, 3617, 3610, 3641, 3620, 3645, 3646, 3622, 3615]\n",
      "42\n",
      "[3647, 3627, 3623, 3669, 3649, 3667, 3666, 3624, 3650]\n",
      "42\n",
      "[3695, 3732, 3699, 3698, 3753, 3728, 3726, 3752, 3767]\n",
      "43\n",
      "[3700, 3731, 3704, 3710, 3697, 3708, 3705, 3712, 3694]\n",
      "43\n",
      "[3703, 3705, 3738, 3712, 3711, 3702, 3704, 3710, 3707]\n",
      "43\n",
      "[3711, 3706, 3703, 3737, 3736, 3731, 3714, 3709, 3733]\n",
      "43\n",
      "[3715, 3718, 3683, 3758, 3741, 3757, 3760, 3740, 3716]\n",
      "43\n",
      "[3733, 3710, 3714, 3694, 3729, 3700, 3727, 3704, 3708]\n",
      "43\n",
      "[3740, 3758, 3683, 3741, 3759, 3717, 3770, 3757, 3739]\n",
      "43\n",
      "[3750, 3751, 3723, 3689, 3692, 3724, 3767, 3726, 3722]\n",
      "43\n",
      "[3762, 3773, 3765, 3747, 3685, 3720, 3764, 3684, 3772]\n",
      "43\n",
      "[3763, 3764, 3747, 3765, 3691, 3687, 3766, 3749, 3721]\n",
      "43\n",
      "[3777, 3835, 3811, 3837, 3812, 3776, 3836, 3834, 3813]\n",
      "44\n",
      "[3801, 3803, 3798, 3802, 3804, 3796, 3805, 3827, 3828]\n",
      "44\n",
      "[3804, 3844, 3803, 3825, 3802, 3830, 3846, 3819, 3796]\n",
      "44\n",
      "[3808, 3807, 3850, 3849, 3775, 3852, 3810, 3832, 3851]\n",
      "44\n",
      "[3825, 3794, 3798, 3801, 3823, 3827, 3804, 3792, 3828]\n",
      "44\n",
      "[3826, 3829, 3845, 3806, 3843, 3824, 3800, 3830, 3797]\n",
      "44\n",
      "[3843, 3821, 3802, 3847, 3822, 3799, 3824, 3844, 3793]\n",
      "44\n",
      "[3861, 3796, 3826, 3828, 3794, 3829, 3825, 3799, 3805]\n",
      "44\n",
      "[3863, 3815, 3854, 3838, 3787, 3781, 3839, 3817, 3818]\n",
      "44\n",
      "[3872, 3949, 3951, 3931, 3952, 3906, 3907, 3934, 3933]\n",
      "45\n",
      "[3882, 3911, 3919, 3916, 3936, 3874, 3912, 3915, 3938]\n",
      "45\n",
      "[3883, 3892, 3889, 3891, 3898, 3881, 3919, 3917, 3894]\n",
      "45\n",
      "[3888, 3894, 3917, 3915, 3889, 3940, 3913, 3885, 3912]\n",
      "45\n",
      "[3905, 3868, 3906, 3904, 3869, 3871, 3931, 3930, 3934]\n",
      "45\n",
      "[3909, 3912, 3937, 3875, 3935, 3913, 3877, 3910, 3936]\n",
      "45\n",
      "[3919, 3892, 3889, 3921, 3915, 3888, 3911, 3881, 3914]\n",
      "45\n",
      "[3922, 3920, 3921, 3884, 3897, 3887, 3883, 3919, 3916]\n",
      "45\n",
      "[3923, 3945, 3942, 3924, 3955, 3901, 3943, 3944, 3946]\n",
      "45\n",
      "[3936, 3875, 3908, 3876, 3877, 3913, 3932, 3934, 3910]\n",
      "45\n",
      "[3975, 3979, 4049, 3970, 3971, 4025, 4001, 4004, 4042]\n",
      "46\n",
      "[3978, 4049, 3973, 3982, 4005, 4008, 3971, 4002, 4025]\n",
      "46\n",
      "[3984, 4013, 3977, 3973, 3986, 3974, 4043, 4044, 3989]\n",
      "46\n",
      "[3988, 4013, 3978, 4007, 4026, 3976, 3985, 4012, 3987]\n",
      "46\n",
      "[3990, 4034, 3992, 4014, 4033, 4016, 4032, 3959, 4035]\n",
      "46\n",
      "[3995, 3961, 4036, 3960, 4019, 4039, 4018, 4038, 4020]\n",
      "46\n",
      "[4024, 3965, 3969, 3997, 3966, 4000, 3998, 4021, 3968]\n",
      "46\n",
      "[4041, 4001, 4046, 3998, 3968, 3999, 4021, 3967, 3965]\n",
      "46\n",
      "[4061, 4070, 4076, 4098, 4104, 4069, 4060, 4062, 4075]\n",
      "47\n",
      "[4064, 4103, 4061, 4078, 4077, 4065, 4080, 4100, 4075]\n",
      "47\n",
      "[4072, 4097, 4080, 4091, 4102, 4073, 4078, 4081, 4055]\n",
      "47\n",
      "[4076, 4069, 4077, 4070, 4068, 4098, 4067, 4100, 4122]\n",
      "47\n",
      "[4083, 4106, 4107, 4127, 4125, 4108, 4124, 4126, 4128]\n",
      "47\n",
      "[4092, 4054, 4091, 4089, 4055, 4088, 4058, 4052, 4051]\n",
      "47\n",
      "[4129, 4087, 4085, 4050, 4083, 4082, 4112, 4110, 4111]\n",
      "47\n",
      "[4176, 4219, 4200, 4198, 4216, 4174, 4177, 4218, 4175]\n",
      "48\n",
      "[4178, 4147, 4146, 4202, 4180, 4143, 4179, 4203, 4181]\n",
      "48\n",
      "[4190, 4159, 4188, 4197, 4156, 4186, 4196, 4187, 4215]\n",
      "48\n",
      "[4192, 4168, 4173, 4170, 4165, 4159, 4155, 4171, 4156]\n",
      "48\n",
      "[4207, 4185, 4183, 4184, 4208, 4209, 4182, 4206, 4205]\n",
      "48\n",
      "[4219, 4178, 4179, 4201, 4202, 4143, 4180, 4144, 4181]\n",
      "48\n",
      "[4231, 4232, 4230, 4224, 4225, 4223, 4221, 4206, 4226]\n",
      "48\n",
      "[4261, 4306, 4247, 4258, 4284, 4254, 4253, 4287, 4289]\n",
      "49\n",
      "[4275, 4319, 4301, 4299, 4318, 4273, 4240, 4277, 4242]\n",
      "49\n",
      "[4283, 4305, 4278, 4281, 4250, 4248, 4251, 4249, 4302]\n",
      "49\n",
      "[4286, 4288, 4263, 4264, 4265, 4262, 4307, 4257, 4289]\n",
      "49\n",
      "[4290, 4310, 4266, 4267, 4308, 4269, 4268, 4234, 4292]\n",
      "49\n",
      "[4296, 4236, 4325, 4316, 4298, 4297, 4242, 4300, 4276]\n",
      "49\n",
      "[4314, 4313, 4324, 4294, 4323, 4312, 4322, 4295, 4270]\n",
      "49\n",
      "[4326, 4361, 4358, 4359, 4400, 4383, 4401, 4413, 4402]\n",
      "50\n",
      "[4341, 4344, 4370, 4372, 4373, 4397, 4348, 4340, 4337]\n",
      "50\n",
      "[4352, 4350, 4357, 4346, 4376, 4349, 4380, 4347, 4343]\n",
      "50\n",
      "[4356, 4349, 4378, 4348, 4376, 4350, 4354, 4357, 4374]\n",
      "50\n",
      "[4357, 4351, 4376, 4355, 4345, 4343, 4354, 4378, 4350]\n",
      "50\n",
      "[4357, 4355, 4374, 4345, 4347, 4376, 4354, 4349, 4339]\n",
      "50\n",
      "[4367, 4336, 4392, 4393, 4368, 4369, 4366, 4338, 4365]\n",
      "50\n",
      "[4371, 4391, 4392, 4338, 4336, 4369, 4368, 4366, 4390]\n",
      "50\n",
      "[4382, 4359, 4383, 4401, 4403, 4360, 4361, 4402, 4400]\n",
      "50\n",
      "[4385, 4361, 4406, 4401, 4383, 4403, 4360, 4402, 4359]\n",
      "50\n",
      "[4387, 4386, 4389, 4408, 4362, 4326, 4404, 4364, 4363]\n",
      "50\n",
      "[4463, 4462, 4434, 4464, 4442, 4432, 4440, 4438, 4435]\n",
      "51\n",
      "[4469, 4471, 4466, 4440, 4439, 4486, 4463, 4433, 4487]\n",
      "51\n",
      "[4478, 4456, 4477, 4419, 4496, 4480, 4479, 4497, 4454]\n",
      "51\n",
      "[4491, 4490, 4446, 4489, 4437, 4444, 4471, 4473, 4467]\n",
      "51\n",
      "[4493, 4475, 4453, 4494, 4495, 4476, 4474, 4451, 4492]\n",
      "51\n",
      "[4507, 4419, 4498, 4454, 4477, 4506, 4422, 4508, 4497]\n",
      "51\n",
      "[4529, 4530, 4523, 4560, 4538, 4533, 4563, 4536, 4583]\n",
      "52\n",
      "[4564, 4532, 4541, 4527, 4535, 4524, 4554, 4540, 4557]\n",
      "52\n",
      "[4565, 4563, 4534, 4539, 4582, 4533, 4583, 4560, 4540]\n",
      "52\n",
      "[4566, 4585, 4584, 4568, 4543, 4544, 4597, 4586, 4567]\n",
      "52\n",
      "[4571, 4514, 4548, 4570, 4569, 4512, 4546, 4591, 4549]\n",
      "52\n",
      "[4572, 4571, 4590, 4570, 4589, 4569, 4588, 4591, 4546]\n",
      "52\n",
      "[4577, 4550, 4594, 4520, 4549, 4576, 4552, 4573, 4592]\n",
      "52\n",
      "[4580, 4561, 4557, 4527, 4524, 4528, 4555, 4525, 4556]\n",
      "52\n",
      "[4611, 4620, 4626, 4615, 4629, 4625, 4657, 4618, 4653]\n",
      "53\n",
      "[4622, 4628, 4619, 4616, 4627, 4617, 4650, 4620, 4633]\n",
      "53\n",
      "[4626, 4652, 4655, 4630, 4675, 4618, 4619, 4624, 4615]\n",
      "53\n",
      "[4630, 4653, 4624, 4629, 4652, 4651, 4621, 4620, 4673]\n",
      "53\n",
      "[4636, 4689, 4679, 4659, 4676, 4658, 4635, 4634, 4677]\n",
      "53\n",
      "[4638, 4637, 4682, 4639, 4604, 4602, 4640, 4662, 4641]\n",
      "53\n",
      "[4643, 4645, 4610, 4644, 4608, 4666, 4606, 4669, 4668]\n",
      "53\n",
      "[4651, 4617, 4655, 4623, 4630, 4624, 4657, 4621, 4631]\n",
      "53\n",
      "[4656, 4688, 4673, 4671, 4686, 4647, 4649, 4648, 4614]\n",
      "53\n",
      "[4660, 4665, 4659, 4689, 4661, 4678, 4662, 4638, 4636]\n",
      "53\n",
      "[4682, 4684, 4643, 4664, 4683, 4607, 4605, 4665, 4667]\n",
      "53\n",
      "[4702, 4755, 4733, 4698, 4699, 4700, 4754, 4732, 4695]\n",
      "54\n",
      "[4709, 4701, 4714, 4722, 4703, 4717, 4713, 4707, 4712]\n",
      "54\n",
      "[4716, 4742, 4719, 4739, 4748, 4723, 4738, 4767, 4741]\n",
      "54\n",
      "[4716, 4742, 4723, 4718, 4739, 4741, 4746, 4710, 4766]\n",
      "54\n",
      "[4719, 4710, 4761, 4749, 4748, 4747, 4711, 4767, 4735]\n",
      "54\n",
      "[4740, 4777, 4759, 4776, 4783, 4763, 4738, 4780, 4708]\n",
      "54\n",
      "[4743, 4745, 4778, 4715, 4721, 4764, 4762, 4785, 4779]\n",
      "54\n",
      "[4748, 4766, 4767, 4716, 4747, 4711, 4765, 4744, 4739]\n",
      "54\n",
      "[4770, 4769, 4768, 4729, 4750, 4730, 4753, 4731, 4696]\n",
      "54\n",
      "[4796, 4795, 4830, 4828, 4851, 4793, 4797, 4827, 4852]\n",
      "56\n",
      "[4798, 4809, 4872, 4856, 4804, 4816, 4833, 4814, 4859]\n",
      "56\n",
      "[4801, 4870, 4854, 4852, 4850, 4828, 4831, 4794, 4826]\n",
      "56\n",
      "[4810, 4802, 4800, 4803, 4832, 4799, 4855, 4806, 4834]\n",
      "56\n",
      "[4817, 4872, 4816, 4840, 4858, 4856, 4859, 4837, 4804]\n",
      "56\n",
      "[4844, 4873, 4861, 4843, 4860, 4818, 4821, 4819, 4820]\n",
      "56\n",
      "[4846, 4867, 4866, 4823, 4848, 4865, 4824, 4847, 4876]\n",
      "56\n",
      "[4883, 4879, 4882, 4884, 4916, 4915, 4880, 4938, 4937]\n",
      "58\n",
      "[4893, 4891, 4889, 4885, 4899, 4890, 4888, 4897, 4894]\n",
      "58\n",
      "[4898, 4892, 4894, 4923, 4895, 4905, 4907, 4930, 4900]\n",
      "58\n",
      "[4906, 4930, 4931, 4909, 4928, 4933, 4905, 4896, 4900]\n",
      "58\n",
      "[4918, 4939, 4958, 4956, 4941, 4937, 4942, 4959, 4940]\n",
      "58\n",
      "[4934, 4878, 4911, 4910, 4954, 4912, 4913, 4955, 4952]\n",
      "58\n",
      "[4946, 4960, 4945, 4964, 4967, 4961, 4963, 4968, 4948]\n",
      "58\n",
      "[4974, 4971, 5048, 5051, 5009, 5007, 4972, 5031, 5006]\n",
      "59\n",
      "[4977, 4978, 5037, 5013, 5011, 5035, 4980, 5054, 5012]\n",
      "59\n",
      "[4979, 5016, 4989, 5022, 5018, 4983, 5023, 5017, 5015]\n",
      "59\n",
      "[4984, 5024, 4988, 5016, 5042, 4987, 4977, 5014, 4982]\n",
      "59\n",
      "[4996, 5021, 4999, 5020, 5022, 4992, 4998, 5001, 4984]\n",
      "59\n",
      "[4996, 5023, 4995, 4989, 5020, 5043, 5022, 4990, 5017]\n",
      "59\n",
      "[4997, 4985, 5021, 5038, 5019, 5018, 5015, 5039, 5023]\n",
      "59\n",
      "[4999, 5001, 5021, 4993, 5025, 4991, 5000, 4997, 4994]\n",
      "59\n",
      "[5025, 4993, 4981, 5000, 5038, 5041, 5018, 4999, 4986]\n",
      "59\n",
      "[5045, 5027, 5026, 5044, 5003, 5046, 5002, 5028, 5047]\n",
      "59\n",
      "[5079, 5080, 5077, 5115, 5075, 5092, 5087, 5084, 5110]\n",
      "60\n",
      "[5091, 5089, 5087, 5082, 5090, 5115, 5112, 5079, 5075]\n",
      "60\n",
      "[5103, 5072, 5104, 5106, 5077, 5105, 5111, 5110, 5108]\n",
      "60\n",
      "[5114, 5116, 5083, 5089, 5081, 5088, 5090, 5079, 5076]\n",
      "60\n",
      "[5123, 5099, 5064, 5066, 5120, 5095, 5063, 5067, 5098]\n",
      "60\n",
      "[5132, 5108, 5130, 5109, 5128, 5129, 5146, 5107, 5105]\n",
      "60\n",
      "[5137, 5136, 5119, 5118, 5117, 5096, 5097, 5095, 5094]\n",
      "60\n",
      "[5141, 5125, 5140, 5139, 5144, 5124, 5143, 5145, 5142]\n",
      "60\n",
      "[5153, 5188, 5189, 5214, 5233, 5230, 5187, 5195, 5240]\n",
      "61\n",
      "[5156, 5160, 5157, 5158, 5211, 5166, 5191, 5162, 5218]\n",
      "61\n",
      "[5164, 5197, 5215, 5242, 5219, 5234, 5155, 5243, 5237]\n",
      "61\n",
      "[5170, 5161, 5219, 5222, 5177, 5236, 5197, 5165, 5241]\n",
      "61\n",
      "[5185, 5212, 5210, 5189, 5186, 5230, 5213, 5228, 5231]\n",
      "61\n",
      "[5199, 5201, 5177, 5206, 5198, 5238, 5167, 5174, 5203]\n",
      "61\n",
      "[5206, 5208, 5184, 5225, 5207, 5202, 5183, 5180, 5236]\n",
      "61\n",
      "[5218, 5157, 5242, 5163, 5167, 5161, 5162, 5215, 5154]\n",
      "61\n"
     ]
    }
   ],
   "source": [
    "for g, m in zip(groups, materials):\n",
    "    print(g)\n",
    "    print(m)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 56, 56, 56, 56, 56, 56, 56, 58, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61]\n",
      "456\n"
     ]
    }
   ],
   "source": [
    "print(materials)\n",
    "print(len(materials))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0  0  0  0  0  0  0  0  0  0  0  0  0  1  1  1  2  2  2  2  2  2  3  3  3\n",
      "  3  3  3  3  3  4  4  4  4  4  4  4  4  5  5  5  5  5  5  6  6  6  6  6  6\n",
      "  6  7  7  7  7  7  7  7  7  8  8  8  8  8  8  8  8  9  9  9  9  9  9  9  9\n",
      " 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 14\n",
      " 14 14 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 16 17 17 17 17\n",
      " 17 18 18 18 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 20 20 20 20 20\n",
      " 20 20 20 20 20 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 24 24 24\n",
      " 24 24 24 24 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 26 27 27 27 27 27\n",
      " 27 27 28 28 28 28 28 28 29 29 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30\n",
      " 30 30 30 31 31 31 31 31 32 32 32 32 32 32 33 33 33 33 33 33 33 33 33 33 34\n",
      " 34 34 34 34 34 34 35 35 35 35 35 35 36 36 36 36 36 36 36 37 37 37 37 37 37\n",
      " 37 38 38 38 38 38 38 38 39 39 39 39 39 39 39 39 40 40 40 40 40 40 40 41 41\n",
      " 41 41 41 41 41 41 42 42 42 42 42 42 42 43 43 43 43 43 43 43 43 43 43 44 44\n",
      " 44 44 44 44 44 44 44 45 45 45 45 45 45 45 45 45 45 46 46 46 46 46 46 46 46\n",
      " 47 47 47 47 47 47 47 48 48 48 48 48 48 48 49 49 49 49 49 49 49 50 50 50 50\n",
      " 50 50 50 50 50 50 50 51 51 51 51 51 51 52 52 52 52 52 52 52 52 53 53 53 53\n",
      " 53 53 53 53 53 53 53 54 54 54 54 54 54 54 54 54 56 56 56 56 56 56 56 58 58\n",
      " 58 58 58 58 58 59 59 59 59 59 59 59 59 59 59 60 60 60 60 60 60 60 60 61 61\n",
      " 61 61 61 61 61 61]\n",
      "[ 13.   3.   6.   8.   8.   6.   7.   8.   8.   8.   7.   4.   4.   9.   8.\n",
      "   5.   9.   5.  12.   7.  10.   8.   9.   0.   7.   9.   7.   7.   6.  10.\n",
      "  10.   5.   6.  10.   7.   6.   7.   7.   7.   8.   7.   8.   7.  10.   9.\n",
      "  10.   8.   7.   7.   7.  11.   6.   8.  11.   9.   0.   7.   0.   7.  10.\n",
      "  16.]\n",
      "[ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n",
      " 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n",
      " 50 51 52 53 54 55 56 57 58 59 60 61]\n"
     ]
    },
    {
     "data": {
      "image/png": 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Op1n3YB+a0FlwaFW9eT01HzBSyy2A42mC6M9oAkpaVl5xSE231L5JtqKZwv7T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\nkCT18v8BarCjDoLWvfoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1d2a9dac88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "materials = np.array(materials)\n",
    "materials[materials==-1]=0\n",
    "\n",
    "print(materials)\n",
    "\n",
    "matplotlib.rcParams.update({'font.size': 15})\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 5))\n",
    "counts, unique, plot = plt.hist(materials, bins=range(0,62))\n",
    "\n",
    "print(counts)\n",
    "print(unique)\n",
    "\n",
    "plt.bar(0.5, 13, 1, align='center', color='r')\n",
    "\n",
    "ax.set_xlim(0,61)\n",
    "plt.yticks(range(0,19,3))\n",
    "\n",
    "plt.xlabel('Material')\n",
    "plt.ylabel('Number of groups')\n",
    "\n",
    "plt.savefig('histogram_groups.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 13.   0.   3.   6.   8.   8.   6.   7.   8.   8.   8.   7.   4.   4.   9.\n",
      "   8.   5.   9.   5.  12.   7.  10.   8.   9.   0.   7.   9.   7.   7.   6.\n",
      "  10.  10.   5.   6.  10.   7.   6.   7.   7.   7.   8.   7.   8.   7.  10.\n",
      "   9.  10.   8.   7.   7.   7.  11.   6.   8.  11.   9.   0.   7.   0.   7.\n",
      "  18.]\n"
     ]
    }
   ],
   "source": [
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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