import platform
platform.platform()
'Linux-4.17.19-1-MANJARO-x86_64-with-arch-Manjaro-Linux'
platform.python_version()
'3.7.0'
import itertools as it
import sympy as sp
sp.__version__
'1.3'
sp.init_printing()
import DSTG
generator svih elemenata
it.product([1,2,3],['a','b'])
<itertools.product at 0x7f6730d42cf0>
lista svih elemenata
cp2=list(it.product([1,2,3],['a','b']));
cp2
[(1, 'a'), (1, 'b'), (2, 'a'), (2, 'b'), (3, 'a'), (3, 'b')]
kardinalni broj
len(list(cp2))
generator svih elemenata
it.product([4,5,1],[-1,-2],['a','b','c'])
<itertools.product at 0x7f6730d49e58>
lista svih elemenata
cp3=list(it.product([4,5,1],[-1,-2],['a','b','c']))
DSTG.ispis(cp3,70)
[(4, -1, 'a'), (4, -1, 'b'), (4, -1, 'c'), (4, -2, 'a'), (4, -2, 'b'), (4, -2, 'c'), (5, -1, 'a'), (5, -1, 'b'), (5, -1, 'c'), (5, -2, 'a'), (5, -2, 'b'), (5, -2, 'c'), (1, -1, 'a'), (1, -1, 'b'), (1, -1, 'c'), (1, -2, 'a'), (1, -2, 'b'), (1, -2, 'c')]
kardinalni broj
len(cp3)
Ispišite sve $3$-permutacije skupa $\{a,b,c,d\}$.
per=list(it.permutations(['a','b','c','d'],3))
DSTG.ispis(per,68)
[('a', 'b', 'c'), ('a', 'b', 'd'), ('a', 'c', 'b'), ('a', 'c', 'd'),
('a', 'd', 'b'), ('a', 'd', 'c'), ('b', 'a', 'c'), ('b', 'a', 'd'),
('b', 'c', 'a'), ('b', 'c', 'd'), ('b', 'd', 'a'), ('b', 'd', 'c'),
('c', 'a', 'b'), ('c', 'a', 'd'), ('c', 'b', 'a'), ('c', 'b', 'd'),
('c', 'd', 'a'), ('c', 'd', 'b'), ('d', 'a', 'b'), ('d', 'a', 'c'),
('d', 'b', 'a'), ('d', 'b', 'c'), ('d', 'c', 'a'), ('d', 'c', 'b')]
len(per)
Ispišite sve $3$-kombinacije skupa $\{a,b,c,d\}$.
komb=list(it.combinations(['a','b','c','d'],3))
DSTG.ispis(komb,68)
[('a', 'b', 'c'), ('a', 'b', 'd'), ('a', 'c', 'd'), ('b', 'c', 'd')]
len(komb)
Ispišite sve $3$-permutacije s ponavljenjem skupa $\{a,b,c,d\}$.
perpon=list(it.product('abcd',repeat=3))
DSTG.ispis(perpon,68)
[('a', 'a', 'a'), ('a', 'a', 'b'), ('a', 'a', 'c'), ('a', 'a', 'd'),
('a', 'b', 'a'), ('a', 'b', 'b'), ('a', 'b', 'c'), ('a', 'b', 'd'),
('a', 'c', 'a'), ('a', 'c', 'b'), ('a', 'c', 'c'), ('a', 'c', 'd'),
('a', 'd', 'a'), ('a', 'd', 'b'), ('a', 'd', 'c'), ('a', 'd', 'd'),
('b', 'a', 'a'), ('b', 'a', 'b'), ('b', 'a', 'c'), ('b', 'a', 'd'),
('b', 'b', 'a'), ('b', 'b', 'b'), ('b', 'b', 'c'), ('b', 'b', 'd'),
('b', 'c', 'a'), ('b', 'c', 'b'), ('b', 'c', 'c'), ('b', 'c', 'd'),
('b', 'd', 'a'), ('b', 'd', 'b'), ('b', 'd', 'c'), ('b', 'd', 'd'),
('c', 'a', 'a'), ('c', 'a', 'b'), ('c', 'a', 'c'), ('c', 'a', 'd'),
('c', 'b', 'a'), ('c', 'b', 'b'), ('c', 'b', 'c'), ('c', 'b', 'd'),
('c', 'c', 'a'), ('c', 'c', 'b'), ('c', 'c', 'c'), ('c', 'c', 'd'),
('c', 'd', 'a'), ('c', 'd', 'b'), ('c', 'd', 'c'), ('c', 'd', 'd'),
('d', 'a', 'a'), ('d', 'a', 'b'), ('d', 'a', 'c'), ('d', 'a', 'd'),
('d', 'b', 'a'), ('d', 'b', 'b'), ('d', 'b', 'c'), ('d', 'b', 'd'),
('d', 'c', 'a'), ('d', 'c', 'b'), ('d', 'c', 'c'), ('d', 'c', 'd'),
('d', 'd', 'a'), ('d', 'd', 'b'), ('d', 'd', 'c'), ('d', 'd', 'd')]
len(perpon)
Ispišite sve $3$-kombinacije s ponavljanjem skupa $\{a,b,c,d\}$.
kombpon=list(it.combinations_with_replacement('abcd',3))
DSTG.ispis(kombpon,68)
[('a', 'a', 'a'), ('a', 'a', 'b'), ('a', 'a', 'c'), ('a', 'a', 'd'),
('a', 'b', 'b'), ('a', 'b', 'c'), ('a', 'b', 'd'), ('a', 'c', 'c'),
('a', 'c', 'd'), ('a', 'd', 'd'), ('b', 'b', 'b'), ('b', 'b', 'c'),
('b', 'b', 'd'), ('b', 'c', 'c'), ('b', 'c', 'd'), ('b', 'd', 'd'),
('c', 'c', 'c'), ('c', 'c', 'd'), ('c', 'd', 'd'), ('d', 'd', 'd')]
len(kombpon)
def ciklicke_permutacije(skup):
d=len(skup)
cp = map(lambda x: x+(skup[-1],), list(it.permutations(skup[:-1],d-1)))
return list(cp)
Ispišite sve permutacije skupa $\{a,b,c,d\}$.
p=list(it.permutations('abcd',4))
DSTG.ispis(p,66)
[('a', 'b', 'c', 'd'), ('a', 'b', 'd', 'c'), ('a', 'c', 'b', 'd'),
('a', 'c', 'd', 'b'), ('a', 'd', 'b', 'c'), ('a', 'd', 'c', 'b'),
('b', 'a', 'c', 'd'), ('b', 'a', 'd', 'c'), ('b', 'c', 'a', 'd'),
('b', 'c', 'd', 'a'), ('b', 'd', 'a', 'c'), ('b', 'd', 'c', 'a'),
('c', 'a', 'b', 'd'), ('c', 'a', 'd', 'b'), ('c', 'b', 'a', 'd'),
('c', 'b', 'd', 'a'), ('c', 'd', 'a', 'b'), ('c', 'd', 'b', 'a'),
('d', 'a', 'b', 'c'), ('d', 'a', 'c', 'b'), ('d', 'b', 'a', 'c'),
('d', 'b', 'c', 'a'), ('d', 'c', 'a', 'b'), ('d', 'c', 'b', 'a')]
len(p)
Ispišite sve cikličke permutacije skupa $\{a,b,c,d\}$.
cp=ciklicke_permutacije('abcd')
DSTG.ispis(cp,66)
[('a', 'b', 'c', 'd'), ('a', 'c', 'b', 'd'), ('b', 'a', 'c', 'd'),
('b', 'c', 'a', 'd'), ('c', 'a', 'b', 'd'), ('c', 'b', 'a', 'd')]
len(cp)
def ispitaj(prvi,drugi):
for x in range(len(prvi)):
if prvi[x]==drugi[x]:
return False
return True
def deranzmani(skup):
d=len(skup)
per=it.permutations(skup,d)
der=filter(lambda x: ispitaj(skup,x), per)
return list(der)
deranzmani('abcd')
[('b', 'a', 'd', 'c'),
('b', 'c', 'd', 'a'),
('b', 'd', 'a', 'c'),
('c', 'a', 'd', 'b'),
('c', 'd', 'a', 'b'),
('c', 'd', 'b', 'a'),
('d', 'a', 'b', 'c'),
('d', 'c', 'a', 'b'),
('d', 'c', 'b', 'a')]
len(deranzmani('abcd'))
Koliko ima četveroznamenkastih prirodnih brojeva s različitim znamenkama?
brojevi=list(filter(lambda x: x[0]!=0 and len(set(x))==4, it.product(range(10),repeat=4)))
Takvih brojeva ima ukupno 4536.
len(brojevi)
Prvih 100 takvih brojeva
DSTG.ispis(list(map(int,(map(lambda x: int(''.join(map(str,x))), brojevi[0:100])))),80)
[1023, 1024, 1025, 1026, 1027, 1028, 1029, 1032, 1034, 1035, 1036, 1037, 1038, 1 039, 1042, 1043, 1045, 1046, 1047, 1048, 1049, 1052, 1053, 1054, 1056, 1057, 105 8, 1059, 1062, 1063, 1064, 1065, 1067, 1068, 1069, 1072, 1073, 1074, 1075, 1076, 1078, 1079, 1082, 1083, 1084, 1085, 1086, 1087, 1089, 1092, 1093, 1094, 1095, 1 096, 1097, 1098, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1230, 1234, 1235, 123 6, 1237, 1238, 1239, 1240, 1243, 1245, 1246, 1247, 1248, 1249, 1250, 1253, 1254, 1256, 1257, 1258, 1259, 1260, 1263, 1264, 1265, 1267, 1268, 1269, 1270, 1273, 1 274, 1275, 1276, 1278, 1279, 1280, 1283]
Spremanje svih takvih brojeva u datoteku. U svakom retku datoteke je najviše 20 takvih brojeva.
dat=open('zad1','w')
brojevi2=map(int,(map(lambda x: int(''.join(map(str,x))), brojevi)))
brojac=0
for x in brojevi2:
brojac+=1
dat.write("%d, " % x)
if brojac%20==0:
dat.write(" \n")
dat.close()
dat=open('zad1','r')
print(dat.read())
dat.close()
1023, 1024, 1025, 1026, 1027, 1028, 1029, 1032, 1034, 1035, 1036, 1037, 1038, 1039, 1042, 1043, 1045, 1046, 1047, 1048, 1049, 1052, 1053, 1054, 1056, 1057, 1058, 1059, 1062, 1063, 1064, 1065, 1067, 1068, 1069, 1072, 1073, 1074, 1075, 1076, 1078, 1079, 1082, 1083, 1084, 1085, 1086, 1087, 1089, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1230, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1243, 1245, 1246, 1247, 1248, 1249, 1250, 1253, 1254, 1256, 1257, 1258, 1259, 1260, 1263, 1264, 1265, 1267, 1268, 1269, 1270, 1273, 1274, 1275, 1276, 1278, 1279, 1280, 1283, 1284, 1285, 1286, 1287, 1289, 1290, 1293, 1294, 1295, 1296, 1297, 1298, 1302, 1304, 1305, 1306, 1307, 1308, 1309, 1320, 1324, 1325, 1326, 1327, 1328, 1329, 1340, 1342, 1345, 1346, 1347, 1348, 1349, 1350, 1352, 1354, 1356, 1357, 1358, 1359, 1360, 1362, 1364, 1365, 1367, 1368, 1369, 1370, 1372, 1374, 1375, 1376, 1378, 1379, 1380, 1382, 1384, 1385, 1386, 1387, 1389, 1390, 1392, 1394, 1395, 1396, 1397, 1398, 1402, 1403, 1405, 1406, 1407, 1408, 1409, 1420, 1423, 1425, 1426, 1427, 1428, 1429, 1430, 1432, 1435, 1436, 1437, 1438, 1439, 1450, 1452, 1453, 1456, 1457, 1458, 1459, 1460, 1462, 1463, 1465, 1467, 1468, 1469, 1470, 1472, 1473, 1475, 1476, 1478, 1479, 1480, 1482, 1483, 1485, 1486, 1487, 1489, 1490, 1492, 1493, 1495, 1496, 1497, 1498, 1502, 1503, 1504, 1506, 1507, 1508, 1509, 1520, 1523, 1524, 1526, 1527, 1528, 1529, 1530, 1532, 1534, 1536, 1537, 1538, 1539, 1540, 1542, 1543, 1546, 1547, 1548, 1549, 1560, 1562, 1563, 1564, 1567, 1568, 1569, 1570, 1572, 1573, 1574, 1576, 1578, 1579, 1580, 1582, 1583, 1584, 1586, 1587, 1589, 1590, 1592, 1593, 1594, 1596, 1597, 1598, 1602, 1603, 1604, 1605, 1607, 1608, 1609, 1620, 1623, 1624, 1625, 1627, 1628, 1629, 1630, 1632, 1634, 1635, 1637, 1638, 1639, 1640, 1642, 1643, 1645, 1647, 1648, 1649, 1650, 1652, 1653, 1654, 1657, 1658, 1659, 1670, 1672, 1673, 1674, 1675, 1678, 1679, 1680, 1682, 1683, 1684, 1685, 1687, 1689, 1690, 1692, 1693, 1694, 1695, 1697, 1698, 1702, 1703, 1704, 1705, 1706, 1708, 1709, 1720, 1723, 1724, 1725, 1726, 1728, 1729, 1730, 1732, 1734, 1735, 1736, 1738, 1739, 1740, 1742, 1743, 1745, 1746, 1748, 1749, 1750, 1752, 1753, 1754, 1756, 1758, 1759, 1760, 1762, 1763, 1764, 1765, 1768, 1769, 1780, 1782, 1783, 1784, 1785, 1786, 1789, 1790, 1792, 1793, 1794, 1795, 1796, 1798, 1802, 1803, 1804, 1805, 1806, 1807, 1809, 1820, 1823, 1824, 1825, 1826, 1827, 1829, 1830, 1832, 1834, 1835, 1836, 1837, 1839, 1840, 1842, 1843, 1845, 1846, 1847, 1849, 1850, 1852, 1853, 1854, 1856, 1857, 1859, 1860, 1862, 1863, 1864, 1865, 1867, 1869, 1870, 1872, 1873, 1874, 1875, 1876, 1879, 1890, 1892, 1893, 1894, 1895, 1896, 1897, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1920, 1923, 1924, 1925, 1926, 1927, 1928, 1930, 1932, 1934, 1935, 1936, 1937, 1938, 1940, 1942, 1943, 1945, 1946, 1947, 1948, 1950, 1952, 1953, 1954, 1956, 1957, 1958, 1960, 1962, 1963, 1964, 1965, 1967, 1968, 1970, 1972, 1973, 1974, 1975, 1976, 1978, 1980, 1982, 1983, 1984, 1985, 1986, 1987, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2031, 2034, 2035, 2036, 2037, 2038, 2039, 2041, 2043, 2045, 2046, 2047, 2048, 2049, 2051, 2053, 2054, 2056, 2057, 2058, 2059, 2061, 2063, 2064, 2065, 2067, 2068, 2069, 2071, 2073, 2074, 2075, 2076, 2078, 2079, 2081, 2083, 2084, 2085, 2086, 2087, 2089, 2091, 2093, 2094, 2095, 2096, 2097, 2098, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2130, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2143, 2145, 2146, 2147, 2148, 2149, 2150, 2153, 2154, 2156, 2157, 2158, 2159, 2160, 2163, 2164, 2165, 2167, 2168, 2169, 2170, 2173, 2174, 2175, 2176, 2178, 2179, 2180, 2183, 2184, 2185, 2186, 2187, 2189, 2190, 2193, 2194, 2195, 2196, 2197, 2198, 2301, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2314, 2315, 2316, 2317, 2318, 2319, 2340, 2341, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2354, 2356, 2357, 2358, 2359, 2360, 2361, 2364, 2365, 2367, 2368, 2369, 2370, 2371, 2374, 2375, 2376, 2378, 2379, 2380, 2381, 2384, 2385, 2386, 2387, 2389, 2390, 2391, 2394, 2395, 2396, 2397, 2398, 2401, 2403, 2405, 2406, 2407, 2408, 2409, 2410, 2413, 2415, 2416, 2417, 2418, 2419, 2430, 2431, 2435, 2436, 2437, 2438, 2439, 2450, 2451, 2453, 2456, 2457, 2458, 2459, 2460, 2461, 2463, 2465, 2467, 2468, 2469, 2470, 2471, 2473, 2475, 2476, 2478, 2479, 2480, 2481, 2483, 2485, 2486, 2487, 2489, 2490, 2491, 2493, 2495, 2496, 2497, 2498, 2501, 2503, 2504, 2506, 2507, 2508, 2509, 2510, 2513, 2514, 2516, 2517, 2518, 2519, 2530, 2531, 2534, 2536, 2537, 2538, 2539, 2540, 2541, 2543, 2546, 2547, 2548, 2549, 2560, 2561, 2563, 2564, 2567, 2568, 2569, 2570, 2571, 2573, 2574, 2576, 2578, 2579, 2580, 2581, 2583, 2584, 2586, 2587, 2589, 2590, 2591, 2593, 2594, 2596, 2597, 2598, 2601, 2603, 2604, 2605, 2607, 2608, 2609, 2610, 2613, 2614, 2615, 2617, 2618, 2619, 2630, 2631, 2634, 2635, 2637, 2638, 2639, 2640, 2641, 2643, 2645, 2647, 2648, 2649, 2650, 2651, 2653, 2654, 2657, 2658, 2659, 2670, 2671, 2673, 2674, 2675, 2678, 2679, 2680, 2681, 2683, 2684, 2685, 2687, 2689, 2690, 2691, 2693, 2694, 2695, 2697, 2698, 2701, 2703, 2704, 2705, 2706, 2708, 2709, 2710, 2713, 2714, 2715, 2716, 2718, 2719, 2730, 2731, 2734, 2735, 2736, 2738, 2739, 2740, 2741, 2743, 2745, 2746, 2748, 2749, 2750, 2751, 2753, 2754, 2756, 2758, 2759, 2760, 2761, 2763, 2764, 2765, 2768, 2769, 2780, 2781, 2783, 2784, 2785, 2786, 2789, 2790, 2791, 2793, 2794, 2795, 2796, 2798, 2801, 2803, 2804, 2805, 2806, 2807, 2809, 2810, 2813, 2814, 2815, 2816, 2817, 2819, 2830, 2831, 2834, 2835, 2836, 2837, 2839, 2840, 2841, 2843, 2845, 2846, 2847, 2849, 2850, 2851, 2853, 2854, 2856, 2857, 2859, 2860, 2861, 2863, 2864, 2865, 2867, 2869, 2870, 2871, 2873, 2874, 2875, 2876, 2879, 2890, 2891, 2893, 2894, 2895, 2896, 2897, 2901, 2903, 2904, 2905, 2906, 2907, 2908, 2910, 2913, 2914, 2915, 2916, 2917, 2918, 2930, 2931, 2934, 2935, 2936, 2937, 2938, 2940, 2941, 2943, 2945, 2946, 2947, 2948, 2950, 2951, 2953, 2954, 2956, 2957, 2958, 2960, 2961, 2963, 2964, 2965, 2967, 2968, 2970, 2971, 2973, 2974, 2975, 2976, 2978, 2980, 2981, 2983, 2984, 2985, 2986, 2987, 3012, 3014, 3015, 3016, 3017, 3018, 3019, 3021, 3024, 3025, 3026, 3027, 3028, 3029, 3041, 3042, 3045, 3046, 3047, 3048, 3049, 3051, 3052, 3054, 3056, 3057, 3058, 3059, 3061, 3062, 3064, 3065, 3067, 3068, 3069, 3071, 3072, 3074, 3075, 3076, 3078, 3079, 3081, 3082, 3084, 3085, 3086, 3087, 3089, 3091, 3092, 3094, 3095, 3096, 3097, 3098, 3102, 3104, 3105, 3106, 3107, 3108, 3109, 3120, 3124, 3125, 3126, 3127, 3128, 3129, 3140, 3142, 3145, 3146, 3147, 3148, 3149, 3150, 3152, 3154, 3156, 3157, 3158, 3159, 3160, 3162, 3164, 3165, 3167, 3168, 3169, 3170, 3172, 3174, 3175, 3176, 3178, 3179, 3180, 3182, 3184, 3185, 3186, 3187, 3189, 3190, 3192, 3194, 3195, 3196, 3197, 3198, 3201, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3214, 3215, 3216, 3217, 3218, 3219, 3240, 3241, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3254, 3256, 3257, 3258, 3259, 3260, 3261, 3264, 3265, 3267, 3268, 3269, 3270, 3271, 3274, 3275, 3276, 3278, 3279, 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3678, 3679, 3680, 3681, 3682, 3684, 3685, 3687, 3689, 3690, 3691, 3692, 3694, 3695, 3697, 3698, 3701, 3702, 3704, 3705, 3706, 3708, 3709, 3710, 3712, 3714, 3715, 3716, 3718, 3719, 3720, 3721, 3724, 3725, 3726, 3728, 3729, 3740, 3741, 3742, 3745, 3746, 3748, 3749, 3750, 3751, 3752, 3754, 3756, 3758, 3759, 3760, 3761, 3762, 3764, 3765, 3768, 3769, 3780, 3781, 3782, 3784, 3785, 3786, 3789, 3790, 3791, 3792, 3794, 3795, 3796, 3798, 3801, 3802, 3804, 3805, 3806, 3807, 3809, 3810, 3812, 3814, 3815, 3816, 3817, 3819, 3820, 3821, 3824, 3825, 3826, 3827, 3829, 3840, 3841, 3842, 3845, 3846, 3847, 3849, 3850, 3851, 3852, 3854, 3856, 3857, 3859, 3860, 3861, 3862, 3864, 3865, 3867, 3869, 3870, 3871, 3872, 3874, 3875, 3876, 3879, 3890, 3891, 3892, 3894, 3895, 3896, 3897, 3901, 3902, 3904, 3905, 3906, 3907, 3908, 3910, 3912, 3914, 3915, 3916, 3917, 3918, 3920, 3921, 3924, 3925, 3926, 3927, 3928, 3940, 3941, 3942, 3945, 3946, 3947, 3948, 3950, 3951, 3952, 3954, 3956, 3957, 3958, 3960, 3961, 3962, 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7920, 7921, 7923, 7924, 7925, 7926, 7928, 7930, 7931, 7932, 7934, 7935, 7936, 7938, 7940, 7941, 7942, 7943, 7945, 7946, 7948, 7950, 7951, 7952, 7953, 7954, 7956, 7958, 7960, 7961, 7962, 7963, 7964, 7965, 7968, 7980, 7981, 7982, 7983, 7984, 7985, 7986, 8012, 8013, 8014, 8015, 8016, 8017, 8019, 8021, 8023, 8024, 8025, 8026, 8027, 8029, 8031, 8032, 8034, 8035, 8036, 8037, 8039, 8041, 8042, 8043, 8045, 8046, 8047, 8049, 8051, 8052, 8053, 8054, 8056, 8057, 8059, 8061, 8062, 8063, 8064, 8065, 8067, 8069, 8071, 8072, 8073, 8074, 8075, 8076, 8079, 8091, 8092, 8093, 8094, 8095, 8096, 8097, 8102, 8103, 8104, 8105, 8106, 8107, 8109, 8120, 8123, 8124, 8125, 8126, 8127, 8129, 8130, 8132, 8134, 8135, 8136, 8137, 8139, 8140, 8142, 8143, 8145, 8146, 8147, 8149, 8150, 8152, 8153, 8154, 8156, 8157, 8159, 8160, 8162, 8163, 8164, 8165, 8167, 8169, 8170, 8172, 8173, 8174, 8175, 8176, 8179, 8190, 8192, 8193, 8194, 8195, 8196, 8197, 8201, 8203, 8204, 8205, 8206, 8207, 8209, 8210, 8213, 8214, 8215, 8216, 8217, 8219, 8230, 8231, 8234, 8235, 8236, 8237, 8239, 8240, 8241, 8243, 8245, 8246, 8247, 8249, 8250, 8251, 8253, 8254, 8256, 8257, 8259, 8260, 8261, 8263, 8264, 8265, 8267, 8269, 8270, 8271, 8273, 8274, 8275, 8276, 8279, 8290, 8291, 8293, 8294, 8295, 8296, 8297, 8301, 8302, 8304, 8305, 8306, 8307, 8309, 8310, 8312, 8314, 8315, 8316, 8317, 8319, 8320, 8321, 8324, 8325, 8326, 8327, 8329, 8340, 8341, 8342, 8345, 8346, 8347, 8349, 8350, 8351, 8352, 8354, 8356, 8357, 8359, 8360, 8361, 8362, 8364, 8365, 8367, 8369, 8370, 8371, 8372, 8374, 8375, 8376, 8379, 8390, 8391, 8392, 8394, 8395, 8396, 8397, 8401, 8402, 8403, 8405, 8406, 8407, 8409, 8410, 8412, 8413, 8415, 8416, 8417, 8419, 8420, 8421, 8423, 8425, 8426, 8427, 8429, 8430, 8431, 8432, 8435, 8436, 8437, 8439, 8450, 8451, 8452, 8453, 8456, 8457, 8459, 8460, 8461, 8462, 8463, 8465, 8467, 8469, 8470, 8471, 8472, 8473, 8475, 8476, 8479, 8490, 8491, 8492, 8493, 8495, 8496, 8497, 8501, 8502, 8503, 8504, 8506, 8507, 8509, 8510, 8512, 8513, 8514, 8516, 8517, 8519, 8520, 8521, 8523, 8524, 8526, 8527, 8529, 8530, 8531, 8532, 8534, 8536, 8537, 8539, 8540, 8541, 8542, 8543, 8546, 8547, 8549, 8560, 8561, 8562, 8563, 8564, 8567, 8569, 8570, 8571, 8572, 8573, 8574, 8576, 8579, 8590, 8591, 8592, 8593, 8594, 8596, 8597, 8601, 8602, 8603, 8604, 8605, 8607, 8609, 8610, 8612, 8613, 8614, 8615, 8617, 8619, 8620, 8621, 8623, 8624, 8625, 8627, 8629, 8630, 8631, 8632, 8634, 8635, 8637, 8639, 8640, 8641, 8642, 8643, 8645, 8647, 8649, 8650, 8651, 8652, 8653, 8654, 8657, 8659, 8670, 8671, 8672, 8673, 8674, 8675, 8679, 8690, 8691, 8692, 8693, 8694, 8695, 8697, 8701, 8702, 8703, 8704, 8705, 8706, 8709, 8710, 8712, 8713, 8714, 8715, 8716, 8719, 8720, 8721, 8723, 8724, 8725, 8726, 8729, 8730, 8731, 8732, 8734, 8735, 8736, 8739, 8740, 8741, 8742, 8743, 8745, 8746, 8749, 8750, 8751, 8752, 8753, 8754, 8756, 8759, 8760, 8761, 8762, 8763, 8764, 8765, 8769, 8790, 8791, 8792, 8793, 8794, 8795, 8796, 8901, 8902, 8903, 8904, 8905, 8906, 8907, 8910, 8912, 8913, 8914, 8915, 8916, 8917, 8920, 8921, 8923, 8924, 8925, 8926, 8927, 8930, 8931, 8932, 8934, 8935, 8936, 8937, 8940, 8941, 8942, 8943, 8945, 8946, 8947, 8950, 8951, 8952, 8953, 8954, 8956, 8957, 8960, 8961, 8962, 8963, 8964, 8965, 8967, 8970, 8971, 8972, 8973, 8974, 8975, 8976, 9012, 9013, 9014, 9015, 9016, 9017, 9018, 9021, 9023, 9024, 9025, 9026, 9027, 9028, 9031, 9032, 9034, 9035, 9036, 9037, 9038, 9041, 9042, 9043, 9045, 9046, 9047, 9048, 9051, 9052, 9053, 9054, 9056, 9057, 9058, 9061, 9062, 9063, 9064, 9065, 9067, 9068, 9071, 9072, 9073, 9074, 9075, 9076, 9078, 9081, 9082, 9083, 9084, 9085, 9086, 9087, 9102, 9103, 9104, 9105, 9106, 9107, 9108, 9120, 9123, 9124, 9125, 9126, 9127, 9128, 9130, 9132, 9134, 9135, 9136, 9137, 9138, 9140, 9142, 9143, 9145, 9146, 9147, 9148, 9150, 9152, 9153, 9154, 9156, 9157, 9158, 9160, 9162, 9163, 9164, 9165, 9167, 9168, 9170, 9172, 9173, 9174, 9175, 9176, 9178, 9180, 9182, 9183, 9184, 9185, 9186, 9187, 9201, 9203, 9204, 9205, 9206, 9207, 9208, 9210, 9213, 9214, 9215, 9216, 9217, 9218, 9230, 9231, 9234, 9235, 9236, 9237, 9238, 9240, 9241, 9243, 9245, 9246, 9247, 9248, 9250, 9251, 9253, 9254, 9256, 9257, 9258, 9260, 9261, 9263, 9264, 9265, 9267, 9268, 9270, 9271, 9273, 9274, 9275, 9276, 9278, 9280, 9281, 9283, 9284, 9285, 9286, 9287, 9301, 9302, 9304, 9305, 9306, 9307, 9308, 9310, 9312, 9314, 9315, 9316, 9317, 9318, 9320, 9321, 9324, 9325, 9326, 9327, 9328, 9340, 9341, 9342, 9345, 9346, 9347, 9348, 9350, 9351, 9352, 9354, 9356, 9357, 9358, 9360, 9361, 9362, 9364, 9365, 9367, 9368, 9370, 9371, 9372, 9374, 9375, 9376, 9378, 9380, 9381, 9382, 9384, 9385, 9386, 9387, 9401, 9402, 9403, 9405, 9406, 9407, 9408, 9410, 9412, 9413, 9415, 9416, 9417, 9418, 9420, 9421, 9423, 9425, 9426, 9427, 9428, 9430, 9431, 9432, 9435, 9436, 9437, 9438, 9450, 9451, 9452, 9453, 9456, 9457, 9458, 9460, 9461, 9462, 9463, 9465, 9467, 9468, 9470, 9471, 9472, 9473, 9475, 9476, 9478, 9480, 9481, 9482, 9483, 9485, 9486, 9487, 9501, 9502, 9503, 9504, 9506, 9507, 9508, 9510, 9512, 9513, 9514, 9516, 9517, 9518, 9520, 9521, 9523, 9524, 9526, 9527, 9528, 9530, 9531, 9532, 9534, 9536, 9537, 9538, 9540, 9541, 9542, 9543, 9546, 9547, 9548, 9560, 9561, 9562, 9563, 9564, 9567, 9568, 9570, 9571, 9572, 9573, 9574, 9576, 9578, 9580, 9581, 9582, 9583, 9584, 9586, 9587, 9601, 9602, 9603, 9604, 9605, 9607, 9608, 9610, 9612, 9613, 9614, 9615, 9617, 9618, 9620, 9621, 9623, 9624, 9625, 9627, 9628, 9630, 9631, 9632, 9634, 9635, 9637, 9638, 9640, 9641, 9642, 9643, 9645, 9647, 9648, 9650, 9651, 9652, 9653, 9654, 9657, 9658, 9670, 9671, 9672, 9673, 9674, 9675, 9678, 9680, 9681, 9682, 9683, 9684, 9685, 9687, 9701, 9702, 9703, 9704, 9705, 9706, 9708, 9710, 9712, 9713, 9714, 9715, 9716, 9718, 9720, 9721, 9723, 9724, 9725, 9726, 9728, 9730, 9731, 9732, 9734, 9735, 9736, 9738, 9740, 9741, 9742, 9743, 9745, 9746, 9748, 9750, 9751, 9752, 9753, 9754, 9756, 9758, 9760, 9761, 9762, 9763, 9764, 9765, 9768, 9780, 9781, 9782, 9783, 9784, 9785, 9786, 9801, 9802, 9803, 9804, 9805, 9806, 9807, 9810, 9812, 9813, 9814, 9815, 9816, 9817, 9820, 9821, 9823, 9824, 9825, 9826, 9827, 9830, 9831, 9832, 9834, 9835, 9836, 9837, 9840, 9841, 9842, 9843, 9845, 9846, 9847, 9850, 9851, 9852, 9853, 9854, 9856, 9857, 9860, 9861, 9862, 9863, 9864, 9865, 9867, 9870, 9871, 9872, 9873, 9874, 9875, 9876,
Koliko ima prirodnih brojeva strogo manjih od 10000 s različitim znamenkama?
br1=list(it.product(range(1,10),repeat=1))
br2=list(filter(lambda x: x[0]!=0 and len(set(x))==2, it.product(range(10),repeat=2)))
br3=list(filter(lambda x: x[0]!=0 and len(set(x))==3, it.product(range(10),repeat=3)))
br4=list(filter(lambda x: x[0]!=0 and len(set(x))==4, it.product(range(10),repeat=4)))
brojevi=br1+br2+br3+br4
Takvih brojeva ima ukupno 5274.
len(brojevi)
Prvih 1000 takvih brojeva
DSTG.ispis(list(map(int,(map(lambda x: int(''.join(map(str,x))), brojevi[0:1000])))),80)
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 102, 103, 104, 105, 106, 107, 108, 109, 120, 123 , 124, 125, 126, 127, 128, 129, 130, 132, 134, 135, 136, 137, 138, 139, 140, 142 , 143, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 157, 158, 159, 160, 162 , 163, 164, 165, 167, 168, 169, 170, 172, 173, 174, 175, 176, 178, 179, 180, 182 , 183, 184, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198, 201, 203 , 204, 205, 206, 207, 208, 209, 210, 213, 214, 215, 216, 217, 218, 219, 230, 231 , 234, 235, 236, 237, 238, 239, 240, 241, 243, 245, 246, 247, 248, 249, 250, 251 , 253, 254, 256, 257, 258, 259, 260, 261, 263, 264, 265, 267, 268, 269, 270, 271 , 273, 274, 275, 276, 278, 279, 280, 281, 283, 284, 285, 286, 287, 289, 290, 291 , 293, 294, 295, 296, 297, 298, 301, 302, 304, 305, 306, 307, 308, 309, 310, 312 , 314, 315, 316, 317, 318, 319, 320, 321, 324, 325, 326, 327, 328, 329, 340, 341 , 342, 345, 346, 347, 348, 349, 350, 351, 352, 354, 356, 357, 358, 359, 360, 361 , 362, 364, 365, 367, 368, 369, 370, 371, 372, 374, 375, 376, 378, 379, 380, 381 , 382, 384, 385, 386, 387, 389, 390, 391, 392, 394, 395, 396, 397, 398, 401, 402 , 403, 405, 406, 407, 408, 409, 410, 412, 413, 415, 416, 417, 418, 419, 420, 421 , 423, 425, 426, 427, 428, 429, 430, 431, 432, 435, 436, 437, 438, 439, 450, 451 , 452, 453, 456, 457, 458, 459, 460, 461, 462, 463, 465, 467, 468, 469, 470, 471 , 472, 473, 475, 476, 478, 479, 480, 481, 482, 483, 485, 486, 487, 489, 490, 491 , 492, 493, 495, 496, 497, 498, 501, 502, 503, 504, 506, 507, 508, 509, 510, 512 , 513, 514, 516, 517, 518, 519, 520, 521, 523, 524, 526, 527, 528, 529, 530, 531 , 532, 534, 536, 537, 538, 539, 540, 541, 542, 543, 546, 547, 548, 549, 560, 561 , 562, 563, 564, 567, 568, 569, 570, 571, 572, 573, 574, 576, 578, 579, 580, 581 , 582, 583, 584, 586, 587, 589, 590, 591, 592, 593, 594, 596, 597, 598, 601, 602 , 603, 604, 605, 607, 608, 609, 610, 612, 613, 614, 615, 617, 618, 619, 620, 621 , 623, 624, 625, 627, 628, 629, 630, 631, 632, 634, 635, 637, 638, 639, 640, 641 , 642, 643, 645, 647, 648, 649, 650, 651, 652, 653, 654, 657, 658, 659, 670, 671 , 672, 673, 674, 675, 678, 679, 680, 681, 682, 683, 684, 685, 687, 689, 690, 691 , 692, 693, 694, 695, 697, 698, 701, 702, 703, 704, 705, 706, 708, 709, 710, 712 , 713, 714, 715, 716, 718, 719, 720, 721, 723, 724, 725, 726, 728, 729, 730, 731 , 732, 734, 735, 736, 738, 739, 740, 741, 742, 743, 745, 746, 748, 749, 750, 751 , 752, 753, 754, 756, 758, 759, 760, 761, 762, 763, 764, 765, 768, 769, 780, 781 , 782, 783, 784, 785, 786, 789, 790, 791, 792, 793, 794, 795, 796, 798, 801, 802 , 803, 804, 805, 806, 807, 809, 810, 812, 813, 814, 815, 816, 817, 819, 820, 821 , 823, 824, 825, 826, 827, 829, 830, 831, 832, 834, 835, 836, 837, 839, 840, 841 , 842, 843, 845, 846, 847, 849, 850, 851, 852, 853, 854, 856, 857, 859, 860, 861 , 862, 863, 864, 865, 867, 869, 870, 871, 872, 873, 874, 875, 876, 879, 890, 891 , 892, 893, 894, 895, 896, 897, 901, 902, 903, 904, 905, 906, 907, 908, 910, 912 , 913, 914, 915, 916, 917, 918, 920, 921, 923, 924, 925, 926, 927, 928, 930, 931 , 932, 934, 935, 936, 937, 938, 940, 941, 942, 943, 945, 946, 947, 948, 950, 951 , 952, 953, 954, 956, 957, 958, 960, 961, 962, 963, 964, 965, 967, 968, 970, 971 , 972, 973, 974, 975, 976, 978, 980, 981, 982, 983, 984, 985, 986, 987, 1023, 10 24, 1025, 1026, 1027, 1028, 1029, 1032, 1034, 1035, 1036, 1037, 1038, 1039, 1042 , 1043, 1045, 1046, 1047, 1048, 1049, 1052, 1053, 1054, 1056, 1057, 1058, 1059, 1062, 1063, 1064, 1065, 1067, 1068, 1069, 1072, 1073, 1074, 1075, 1076, 1078, 10 79, 1082, 1083, 1084, 1085, 1086, 1087, 1089, 1092, 1093, 1094, 1095, 1096, 1097 , 1098, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1230, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1243, 1245, 1246, 1247, 1248, 1249, 1250, 1253, 1254, 1256, 12 57, 1258, 1259, 1260, 1263, 1264, 1265, 1267, 1268, 1269, 1270, 1273, 1274, 1275 , 1276, 1278, 1279, 1280, 1283, 1284, 1285, 1286, 1287, 1289, 1290, 1293, 1294, 1295, 1296, 1297, 1298, 1302, 1304, 1305, 1306, 1307, 1308, 1309, 1320, 1324, 13 25, 1326, 1327, 1328, 1329, 1340, 1342, 1345, 1346, 1347, 1348, 1349, 1350, 1352 , 1354, 1356, 1357, 1358, 1359, 1360, 1362, 1364, 1365, 1367, 1368, 1369, 1370, 1372, 1374, 1375, 1376, 1378, 1379, 1380, 1382, 1384, 1385, 1386, 1387, 1389, 13 90, 1392, 1394, 1395, 1396, 1397, 1398, 1402, 1403, 1405, 1406, 1407, 1408, 1409 , 1420, 1423, 1425, 1426, 1427, 1428, 1429, 1430, 1432, 1435, 1436, 1437, 1438, 1439, 1450, 1452, 1453, 1456, 1457, 1458, 1459, 1460, 1462, 1463, 1465, 1467, 14 68, 1469, 1470, 1472, 1473, 1475, 1476, 1478, 1479, 1480, 1482, 1483, 1485, 1486 , 1487, 1489, 1490, 1492, 1493, 1495, 1496, 1497, 1498, 1502, 1503, 1504, 1506, 1507, 1508, 1509, 1520, 1523, 1524, 1526, 1527, 1528, 1529, 1530, 1532, 1534, 15 36, 1537, 1538, 1539, 1540, 1542, 1543, 1546, 1547, 1548, 1549, 1560, 1562, 1563 , 1564, 1567, 1568, 1569, 1570, 1572, 1573]
Spremanje svih takvih brojeva u datoteku. U svakom retku datoteke je najviše 20 takvih brojeva.
dat=open('zad2','w')
brojevi2=map(int,(map(lambda x: int(''.join(map(str,x))), brojevi)))
brojac=0
for x in brojevi2:
brojac+=1
dat.write("%d, " % x)
if brojac%20==0:
dat.write(" \n")
dat.close()
Koliko ima neparnih četveroznamenkastih prirodnih brojeva s različitim znamenkama?
neparni=list(filter(lambda x: x[0]!=0 and len(set(x))==4 and (x[-1]%2==1), it.product(range(10),repeat=4)))
Takvih brojeva ima ukupno 2240.
len(neparni)
Prvih 200 takvih brojeva
DSTG.ispis(list(map(int,(map(lambda x: int(''.join(map(str,x))), neparni[0:200])))),80)
[1023, 1025, 1027, 1029, 1035, 1037, 1039, 1043, 1045, 1047, 1049, 1053, 1057, 1 059, 1063, 1065, 1067, 1069, 1073, 1075, 1079, 1083, 1085, 1087, 1089, 1093, 109 5, 1097, 1203, 1205, 1207, 1209, 1235, 1237, 1239, 1243, 1245, 1247, 1249, 1253, 1257, 1259, 1263, 1265, 1267, 1269, 1273, 1275, 1279, 1283, 1285, 1287, 1289, 1 293, 1295, 1297, 1305, 1307, 1309, 1325, 1327, 1329, 1345, 1347, 1349, 1357, 135 9, 1365, 1367, 1369, 1375, 1379, 1385, 1387, 1389, 1395, 1397, 1403, 1405, 1407, 1409, 1423, 1425, 1427, 1429, 1435, 1437, 1439, 1453, 1457, 1459, 1463, 1465, 1 467, 1469, 1473, 1475, 1479, 1483, 1485, 1487, 1489, 1493, 1495, 1497, 1503, 150 7, 1509, 1523, 1527, 1529, 1537, 1539, 1543, 1547, 1549, 1563, 1567, 1569, 1573, 1579, 1583, 1587, 1589, 1593, 1597, 1603, 1605, 1607, 1609, 1623, 1625, 1627, 1 629, 1635, 1637, 1639, 1643, 1645, 1647, 1649, 1653, 1657, 1659, 1673, 1675, 167 9, 1683, 1685, 1687, 1689, 1693, 1695, 1697, 1703, 1705, 1709, 1723, 1725, 1729, 1735, 1739, 1743, 1745, 1749, 1753, 1759, 1763, 1765, 1769, 1783, 1785, 1789, 1 793, 1795, 1803, 1805, 1807, 1809, 1823, 1825, 1827, 1829, 1835, 1837, 1839, 184 3, 1845, 1847, 1849, 1853, 1857, 1859, 1863, 1865, 1867, 1869, 1873, 1875, 1879]
Spremanje svih takvih brojeva u datoteku. U svakom retku datoteke je najviše 20 takvih brojeva.
dat=open('zad3','w')
neparni2=map(int,(map(lambda x: int(''.join(map(str,x))), neparni)))
brojac=0
for x in neparni2:
brojac+=1
dat.write("%d, " % x)
if brojac%20==0:
dat.write(" \n")
dat.close()
Koliko se različitih riječi (smislenih i besmislenih) može dobiti permutiranjem riječi MINIMUM ?
rijeci=set(it.permutations('MINIMUM',7))
Takvih riječi ima ukupno 420
len(rijeci)
DSTG.ispis(list(map(lambda x: ''.join(x), rijeci)),77)
['MIMUNIM', 'NUIMMMI', 'MUIMMIN', 'MNMIUIM', 'IMUNMIM', 'NIMIMUM', 'UNMIMMI', 'IUMINMM', 'IMNMMUI', 'MUMMINI', 'IMMUMNI', 'MMIUMNI', 'MMIMUNI', 'MUMIMIN', 'UMNMMII', 'IMUNIMM', 'MMMNUII', 'INMUMIM', 'NMUIIMM', 'UNMIIMM', 'MNIMUIM', 'NMUIMIM', 'MMMIINU', 'MNUMIIM', 'MUIMIMN', 'MINIMMU', 'MINIMUM', 'UMINIMM', 'NIMMUIM', 'NIMMMIU', 'MIMNUMI', 'IMUIMNM', 'MNIIUMM', 'INMMIMU', 'IINUMMM', 'IINMMMU', 'UMMMNII', 'MIMUMIN', 'NMMUIMI', 'UIIMMMN', 'MINMIMU', 'IMNMIMU', 'IMMNMUI', 'IMMNIUM', 'IIMMUNM', 'MMUMINI', 'UMMNIIM', 'MUNIMMI', 'MMIUIMN', 'MMIMIUN', 'MIMIUNM', 'MNUIMIM', 'UMMINMI', 'MIUMMIN', 'IMMMIUN', 'MIMUNMI', 'NMIMUMI', 'MMINIMU', 'MMINMIU', 'INMUMMI', 'NMIUMMI', 'MIUIMNM', 'NIUMMMI', 'MINMMUI', 'IMMINMU', 'NMMIMIU', 'UIIMNMM', 'UMMMINI', 'UIMMMNI', 'MMNUIMI', 'IUMIMMN', 'IMMNMIU', 'UMMIMIN', 'MUINMMI', 'MMNIUIM', 'INMMUMI', 'UIMMINM', 'IIMMNMU', 'IMINUMM', 'MNUMIMI', 'MMIIMUN', 'NUMIIMM', 'NIUMIMM', 'MNMIIMU', 'MMMUIIN', 'NUMIMIM', 'MIIMUMN', 'IMIMMNU', 'IUMNMMI', 'INMMMIU', 'MINUMIM', 'IMIMUMN', 'MNIUIMM', 'UNIMIMM', 'MIMMUIN', 'NMMMIUI', 'MIIUMMN', 'MMIUNMI', 'UIMNMMI', 'MMMIUIN', 'IUMMINM', 'IIUMNMM', 'NMUMIMI', 'MNIUMMI', 'UNIMMMI', 'UMIIMMN', 'MMMIIUN', 'MIMMIUN', 'MMIINMU', 'IMNUIMM', 'IUNMIMM', 'MIUMIMN', 'MMINUIM', 'MNMIMIU', 'NIMIMMU', 'MINMUMI', 'IIMUMNM', 'MINUIMM', 'MIMINUM', 'IMUMNIM', 'IMMMINU', 'IUIMNMM', 'MMMNIIU', 'UNMMIIM', 'MIIMMUN', 'IMUMMNI', 'NMIUMIM', 'MNIMUMI', 'IMIMUNM', 'IMMUNIM', 'IMMMNIU', 'UMMIINM', 'UMNIIMM', 'UINMMIM', 'MIMNIMU', 'IMNMUIM', 'MIUNMIM', 'MINIUMM', 'MIIMMNU', 'MMIUINM', 'MNMMUII', 'MIIMNUM', 'MIUINMM', 'MMMUINI', 'NMMUIIM', 'UNMIMIM', 'IIMNMMU', 'IMUMNMI', 'MIUNIMM', 'IMMUIMN', 'UIMMMIN', 'IIUMMMN', 'IMIMNMU', 'MIINUMM', 'NIMMIMU', 'IMINMMU', 'UIMIMNM', 'IIMNUMM', 'IUMMMIN', 'IMNMUMI', 'NMMIUIM', 'UINMIMM', 'IIMMNUM', 'MMUMNII', 'UNMMIMI', 'IMMUINM', 'MMUNIIM', 'MMNIIMU', 'IMMIUMN', 'MNMUIIM', 'MUNMIMI', 'IIMMUMN', 'MMNMUII', 'UNIIMMM', 'IMMMUIN', 'NUIMIMM', 'IINMUMM', 'MNMUIMI', 'INIMMMU', 'NMMUMII', 'NMUIMMI', 'MMUINIM', 'MMNIUMI', 'UMIINMM', 'MUIMNMI', 'NIUMMIM', 'MUMINMI', 'MMINUMI', 'MMUIIMN', 'NMIIMMU', 'UMNMIIM', 'IMNIMUM', 'MMIINUM', 'MUMNIMI', 'MINMMIU', 'IMUMIMN', 'INUMIMM', 'NMIMMUI', 'UIMMIMN', 'MIMNUIM', 'MIMNMIU', 'NIMMMUI', 'MIMMNIU', 'UMMIMNI', 'IUMNMIM', 'IMUINMM', 'MUMINIM', 'MIMMINU', 'IMNIUMM', 'MMNMIUI', 'MUIIMNM', 'NUMMIIM', 'NMMIIUM', 'NMMIIMU', 'IUMNIMM', 'IMMMNUI', 'MMUNMII', 'UMNIMIM', 'MMIIUMN', 'MNMIIUM', 'IMIUNMM', 'IUIMMNM', 'IMNUMMI', 'IUNMMMI', 'NMMIUMI', 'NMMIMUI', 'UMNMIMI', 'MNIMIMU', 'IUMIMNM', 'INMMUIM', 'NUIIMMM', 'MMNUMII', 'MUMMIIN', 'IMNMMIU', 'IMMUMIN', 'NMIUIMM', 'INMMIUM', 'UIMNMIM', 'MINMIUM', 'MMUIMNI', 'UINIMMM', 'IMMNIMU', 'NMMMUII', 'NUMIMMI', 'MIIMNMU', 'UIMINMM', 'IIMMMNU', 'IUIMMMN', 'UMIMNMI', 'MMIMNIU', 'MIIUMNM', 'MIMUMNI', 'MNUMMII', 'MUIIMMN', 'UIMNIMM', 'MNIUMIM', 'UNIMMIM', 'UMMNIMI', 'MUINMIM', 'NIMMUMI', 'UIINMMM', 'UMIMMIN', 'NIMIUMM', 'NIMUMMI', 'MIUIMMN', 'MMIIUNM', 'IIUNMMM', 'UMMINIM', 'NMIMMIU', 'IMUIMMN', 'IMMNUIM', 'UMIIMNM', 'MMUNIMI', 'MMMUNII', 'NIIMMUM', 'NIIMMMU', 'MNMIUMI', 'INUMMIM', 'NIMUIMM', 'MMUIINM', 'UMIMIMN', 'MMNIIUM', 'INUIMMM', 'NUIMMIM', 'MNMMIIU', 'MNIMIUM', 'MUMIINM', 'IMUNMMI', 'MUNIIMM', 'MIMNIUM', 'INIUMMM', 'UMMMIIN', 'MIUMNIM', 'MMUINMI', 'NMUMMII', 'NMIMIUM', 'MUIMMNI', 'IMUMINM', 'IIMUNMM', 'MIUMNMI', 'UMNIMMI', 'MMMINIU', 'MMNIMUI', 'MMIUNIM', 'IIMNMUM', 'MIMMUNI', 'MMNMIIU', 'MINMUIM', 'MUIMNIM', 'UMINMIM', 'INUMMMI', 'NIMMIUM', 'MMIUMIN', 'MMIMUIN', 'NIUIMMM', 'MNUIMMI', 'INMIMUM', 'IMMINUM', 'MIIUNMM', 'IIUMMNM', 'IUNIMMM', 'MUMIIMN', 'UMINMMI', 'MMNIMIU', 'MIMINMU', 'MNIIMUM', 'MNIIMMU', 'IMMUNMI', 'IUMMNIM', 'MNUIIMM', 'MNIMMIU', 'MUMNMII', 'MINUMMI', 'IMIUMNM', 'IMMIMUN', 'INMIUMM', 'IUMMMNI', 'MNIMMUI', 'NMIIUMM', 'NIIUMMM', 'IMIMMUN', 'INIMUMM', 'IINMMUM', 'MNMMIUI', 'IMNUMIM', 'IUNMMIM', 'NUMMMII', 'MMIMNUI', 'NMIMIMU', 'MMMIUNI', 'IMMNUMI', 'UMIMMNI', 'MIIMUNM', 'INIMMUM', 'MNMUMII', 'IMIUMMN', 'IMMIUNM', 'MUIINMM', 'NUMMIMI', 'MIINMUM', 'MIINMMU', 'MIMIMNU', 'MIMIUMN', 'MIMIMUN', 'MUIMINM', 'IUMMNMI', 'UNMMMII', 'NMIIMUM', 'MIMMNUI', 'MUNMIIM', 'IMNIMMU', 'IIMUMMN', 'IMIMNUM', 'INMUIMM', 'UMIMNIM', 'IMINMUM', 'MUMIMNI', 'MMIIMNU', 'INMIMMU', 'UIMIMMN', 'IMUMMIN', 'IMMMUNI', 'NMIMUIM', 'MIMUINM', 'MIUMMNI', 'UMMIIMN', 'INMMMUI', 'NMUMIIM', 'MIUMINM', 'MMMNIUI', 'MUNMMII', 'IUINMMM', 'MNMIMUI', 'MUNIMIM', 'UMMNMII', 'MMUMIIN', 'UINMMMI', 'MUINIMM', 'IIMMMUN', 'MIMNMUI', 'NIIMUMM', 'MUMMNII', 'MMMINUI', 'UIMMNIM', 'MIUNMMI', 'IMNMIUM', 'MMUIMIN', 'MMIMINU', 'UIMMNMI', 'MUMNIIM', 'IMMIMNU', 'NMMMIIU', 'NIMUMIM', 'MMINMUI', 'UIIMMNM', 'UMIMINM', 'MMNUIIM', 'MIMUIMN', 'IUMMIMN', 'MMINIUM']
Koliko permutacija skupa $\{1,2,3,4,5,6\}$
permS=list(it.permutations(range(1,7),6))
permSa=list(filter(lambda x: x[0]==4, permS))
DSTG.ispis(permSa,80)
[(4, 1, 2, 3, 5, 6), (4, 1, 2, 3, 6, 5), (4, 1, 2, 5, 3, 6), (4, 1, 2, 5, 6, 3), (4, 1, 2, 6, 3, 5), (4, 1, 2, 6, 5, 3), (4, 1, 3, 2, 5, 6), (4, 1, 3, 2, 6, 5), (4, 1, 3, 5, 2, 6), (4, 1, 3, 5, 6, 2), (4, 1, 3, 6, 2, 5), (4, 1, 3, 6, 5, 2), (4, 1, 5, 2, 3, 6), (4, 1, 5, 2, 6, 3), (4, 1, 5, 3, 2, 6), (4, 1, 5, 3, 6, 2), (4, 1, 5, 6, 2, 3), (4, 1, 5, 6, 3, 2), (4, 1, 6, 2, 3, 5), (4, 1, 6, 2, 5, 3), (4, 1, 6, 3, 2, 5), (4, 1, 6, 3, 5, 2), (4, 1, 6, 5, 2, 3), (4, 1, 6, 5, 3, 2), (4, 2, 1, 3, 5, 6), (4, 2, 1, 3, 6, 5), (4, 2, 1, 5, 3, 6), (4, 2, 1, 5, 6, 3), (4, 2, 1, 6, 3, 5), (4, 2, 1, 6, 5, 3), (4, 2, 3, 1, 5, 6), (4, 2, 3, 1, 6, 5), (4, 2, 3, 5, 1, 6), (4, 2, 3, 5, 6, 1), (4, 2, 3, 6, 1, 5), (4, 2, 3, 6, 5, 1), (4, 2, 5, 1, 3, 6), (4, 2, 5, 1, 6, 3), (4, 2, 5, 3, 1, 6), (4, 2, 5, 3, 6, 1), (4, 2, 5, 6, 1, 3), (4, 2, 5, 6, 3, 1), (4, 2, 6, 1, 3, 5), (4, 2, 6, 1, 5, 3), (4, 2, 6, 3, 1, 5), (4, 2, 6, 3, 5, 1), (4, 2, 6, 5, 1, 3), (4, 2, 6, 5, 3, 1), (4, 3, 1, 2, 5, 6), (4, 3, 1, 2, 6, 5), (4, 3, 1, 5, 2, 6), (4, 3, 1, 5, 6, 2), (4, 3, 1, 6, 2, 5), (4, 3, 1, 6, 5, 2), (4, 3, 2, 1, 5, 6), (4, 3, 2, 1, 6, 5), (4, 3, 2, 5, 1, 6), (4, 3, 2, 5, 6, 1), (4, 3, 2, 6, 1, 5), (4, 3, 2, 6, 5, 1), (4, 3, 5, 1, 2, 6), (4, 3, 5, 1, 6, 2), (4, 3, 5, 2, 1, 6), (4, 3, 5, 2, 6, 1), (4, 3, 5, 6, 1, 2), (4, 3, 5, 6, 2, 1), (4, 3, 6, 1, 2, 5), (4, 3, 6, 1, 5, 2), (4, 3, 6, 2, 1, 5), (4, 3, 6, 2, 5, 1), (4, 3, 6, 5, 1, 2), (4, 3, 6, 5, 2, 1), (4, 5, 1, 2, 3, 6), (4, 5, 1, 2, 6, 3), (4, 5, 1, 3, 2, 6), (4, 5, 1, 3, 6, 2), (4, 5, 1, 6, 2, 3), (4, 5, 1, 6, 3, 2), (4, 5, 2, 1, 3, 6), (4, 5, 2, 1, 6, 3), (4, 5, 2, 3, 1, 6), (4, 5, 2, 3, 6, 1), (4, 5, 2, 6, 1, 3), (4, 5, 2, 6, 3, 1), (4, 5, 3, 1, 2, 6), (4, 5, 3, 1, 6, 2), (4, 5, 3, 2, 1, 6), (4, 5, 3, 2, 6, 1), (4, 5, 3, 6, 1, 2), (4, 5, 3, 6, 2, 1), (4, 5, 6, 1, 2, 3), (4, 5, 6, 1, 3, 2), (4, 5, 6, 2, 1, 3), (4, 5, 6, 2, 3, 1), (4, 5, 6, 3, 1, 2), (4, 5, 6, 3, 2, 1), (4, 6, 1, 2, 3, 5), (4, 6, 1, 2, 5, 3), (4, 6, 1, 3, 2, 5), (4, 6, 1, 3, 5, 2), (4, 6, 1, 5, 2, 3), (4, 6, 1, 5, 3, 2), (4, 6, 2, 1, 3, 5), (4, 6, 2, 1, 5, 3), (4, 6, 2, 3, 1, 5), (4, 6, 2, 3, 5, 1), (4, 6, 2, 5, 1, 3), (4, 6, 2, 5, 3, 1), (4, 6, 3, 1, 2, 5), (4, 6, 3, 1, 5, 2), (4, 6, 3, 2, 1, 5), (4, 6, 3, 2, 5, 1), (4, 6, 3, 5, 1, 2), (4, 6, 3, 5, 2, 1), (4, 6, 5, 1, 2, 3), (4, 6, 5, 1, 3, 2), (4, 6, 5, 2, 1, 3), (4, 6, 5, 2, 3, 1), (4, 6, 5, 3, 1, 2), (4, 6, 5, 3, 2, 1)]
len(permSa)
permSb=list(filter(lambda x: set(x[0:2]).issubset(set([1,2,3])), permS))
DSTG.ispis(permSb,80)
[(1, 2, 3, 4, 5, 6), (1, 2, 3, 4, 6, 5), (1, 2, 3, 5, 4, 6), (1, 2, 3, 5, 6, 4), (1, 2, 3, 6, 4, 5), (1, 2, 3, 6, 5, 4), (1, 2, 4, 3, 5, 6), (1, 2, 4, 3, 6, 5), (1, 2, 4, 5, 3, 6), (1, 2, 4, 5, 6, 3), (1, 2, 4, 6, 3, 5), (1, 2, 4, 6, 5, 3), (1, 2, 5, 3, 4, 6), (1, 2, 5, 3, 6, 4), (1, 2, 5, 4, 3, 6), (1, 2, 5, 4, 6, 3), (1, 2, 5, 6, 3, 4), (1, 2, 5, 6, 4, 3), (1, 2, 6, 3, 4, 5), (1, 2, 6, 3, 5, 4), (1, 2, 6, 4, 3, 5), (1, 2, 6, 4, 5, 3), (1, 2, 6, 5, 3, 4), (1, 2, 6, 5, 4, 3), (1, 3, 2, 4, 5, 6), (1, 3, 2, 4, 6, 5), (1, 3, 2, 5, 4, 6), (1, 3, 2, 5, 6, 4), (1, 3, 2, 6, 4, 5), (1, 3, 2, 6, 5, 4), (1, 3, 4, 2, 5, 6), (1, 3, 4, 2, 6, 5), (1, 3, 4, 5, 2, 6), (1, 3, 4, 5, 6, 2), (1, 3, 4, 6, 2, 5), (1, 3, 4, 6, 5, 2), (1, 3, 5, 2, 4, 6), (1, 3, 5, 2, 6, 4), (1, 3, 5, 4, 2, 6), (1, 3, 5, 4, 6, 2), (1, 3, 5, 6, 2, 4), (1, 3, 5, 6, 4, 2), (1, 3, 6, 2, 4, 5), (1, 3, 6, 2, 5, 4), (1, 3, 6, 4, 2, 5), (1, 3, 6, 4, 5, 2), (1, 3, 6, 5, 2, 4), (1, 3, 6, 5, 4, 2), (2, 1, 3, 4, 5, 6), (2, 1, 3, 4, 6, 5), (2, 1, 3, 5, 4, 6), (2, 1, 3, 5, 6, 4), (2, 1, 3, 6, 4, 5), (2, 1, 3, 6, 5, 4), (2, 1, 4, 3, 5, 6), (2, 1, 4, 3, 6, 5), (2, 1, 4, 5, 3, 6), (2, 1, 4, 5, 6, 3), (2, 1, 4, 6, 3, 5), (2, 1, 4, 6, 5, 3), (2, 1, 5, 3, 4, 6), (2, 1, 5, 3, 6, 4), (2, 1, 5, 4, 3, 6), (2, 1, 5, 4, 6, 3), (2, 1, 5, 6, 3, 4), (2, 1, 5, 6, 4, 3), (2, 1, 6, 3, 4, 5), (2, 1, 6, 3, 5, 4), (2, 1, 6, 4, 3, 5), (2, 1, 6, 4, 5, 3), (2, 1, 6, 5, 3, 4), (2, 1, 6, 5, 4, 3), (2, 3, 1, 4, 5, 6), (2, 3, 1, 4, 6, 5), (2, 3, 1, 5, 4, 6), (2, 3, 1, 5, 6, 4), (2, 3, 1, 6, 4, 5), (2, 3, 1, 6, 5, 4), (2, 3, 4, 1, 5, 6), (2, 3, 4, 1, 6, 5), (2, 3, 4, 5, 1, 6), (2, 3, 4, 5, 6, 1), (2, 3, 4, 6, 1, 5), (2, 3, 4, 6, 5, 1), (2, 3, 5, 1, 4, 6), (2, 3, 5, 1, 6, 4), (2, 3, 5, 4, 1, 6), (2, 3, 5, 4, 6, 1), (2, 3, 5, 6, 1, 4), (2, 3, 5, 6, 4, 1), (2, 3, 6, 1, 4, 5), (2, 3, 6, 1, 5, 4), (2, 3, 6, 4, 1, 5), (2, 3, 6, 4, 5, 1), (2, 3, 6, 5, 1, 4), (2, 3, 6, 5, 4, 1), (3, 1, 2, 4, 5, 6), (3, 1, 2, 4, 6, 5), (3, 1, 2, 5, 4, 6), (3, 1, 2, 5, 6, 4), (3, 1, 2, 6, 4, 5), (3, 1, 2, 6, 5, 4), (3, 1, 4, 2, 5, 6), (3, 1, 4, 2, 6, 5), (3, 1, 4, 5, 2, 6), (3, 1, 4, 5, 6, 2), (3, 1, 4, 6, 2, 5), (3, 1, 4, 6, 5, 2), (3, 1, 5, 2, 4, 6), (3, 1, 5, 2, 6, 4), (3, 1, 5, 4, 2, 6), (3, 1, 5, 4, 6, 2), (3, 1, 5, 6, 2, 4), (3, 1, 5, 6, 4, 2), (3, 1, 6, 2, 4, 5), (3, 1, 6, 2, 5, 4), (3, 1, 6, 4, 2, 5), (3, 1, 6, 4, 5, 2), (3, 1, 6, 5, 2, 4), (3, 1, 6, 5, 4, 2), (3, 2, 1, 4, 5, 6), (3, 2, 1, 4, 6, 5), (3, 2, 1, 5, 4, 6), (3, 2, 1, 5, 6, 4), (3, 2, 1, 6, 4, 5), (3, 2, 1, 6, 5, 4), (3, 2, 4, 1, 5, 6), (3, 2, 4, 1, 6, 5), (3, 2, 4, 5, 1, 6), (3, 2, 4, 5, 6, 1), (3, 2, 4, 6, 1, 5), (3, 2, 4, 6, 5, 1), (3, 2, 5, 1, 4, 6), (3, 2, 5, 1, 6, 4), (3, 2, 5, 4, 1, 6), (3, 2, 5, 4, 6, 1), (3, 2, 5, 6, 1, 4), (3, 2, 5, 6, 4, 1), (3, 2, 6, 1, 4, 5), (3, 2, 6, 1, 5, 4), (3, 2, 6, 4, 1, 5), (3, 2, 6, 4, 5, 1), (3, 2, 6, 5, 1, 4), (3, 2, 6, 5, 4, 1)]
len(permSb)
permSc=list(filter(lambda x: x[-1]%2==1, permS))
DSTG.ispis(permSc,80)
[(1, 2, 3, 4, 6, 5), (1, 2, 3, 6, 4, 5), (1, 2, 4, 3, 6, 5), (1, 2, 4, 5, 6, 3), (1, 2, 4, 6, 3, 5), (1, 2, 4, 6, 5, 3), (1, 2, 5, 4, 6, 3), (1, 2, 5, 6, 4, 3), (1, 2, 6, 3, 4, 5), (1, 2, 6, 4, 3, 5), (1, 2, 6, 4, 5, 3), (1, 2, 6, 5, 4, 3), (1, 3, 2, 4, 6, 5), (1, 3, 2, 6, 4, 5), (1, 3, 4, 2, 6, 5), (1, 3, 4, 6, 2, 5), (1, 3, 6, 2, 4, 5), (1, 3, 6, 4, 2, 5), (1, 4, 2, 3, 6, 5), (1, 4, 2, 5, 6, 3), (1, 4, 2, 6, 3, 5), (1, 4, 2, 6, 5, 3), (1, 4, 3, 2, 6, 5), (1, 4, 3, 6, 2, 5), (1, 4, 5, 2, 6, 3), (1, 4, 5, 6, 2, 3), (1, 4, 6, 2, 3, 5), (1, 4, 6, 2, 5, 3), (1, 4, 6, 3, 2, 5), (1, 4, 6, 5, 2, 3), (1, 5, 2, 4, 6, 3), (1, 5, 2, 6, 4, 3), (1, 5, 4, 2, 6, 3), (1, 5, 4, 6, 2, 3), (1, 5, 6, 2, 4, 3), (1, 5, 6, 4, 2, 3), (1, 6, 2, 3, 4, 5), (1, 6, 2, 4, 3, 5), (1, 6, 2, 4, 5, 3), (1, 6, 2, 5, 4, 3), (1, 6, 3, 2, 4, 5), (1, 6, 3, 4, 2, 5), (1, 6, 4, 2, 3, 5), (1, 6, 4, 2, 5, 3), (1, 6, 4, 3, 2, 5), (1, 6, 4, 5, 2, 3), (1, 6, 5, 2, 4, 3), (1, 6, 5, 4, 2, 3), (2, 1, 3, 4, 6, 5), (2, 1, 3, 6, 4, 5), (2, 1, 4, 3, 6, 5), (2, 1, 4, 5, 6, 3), (2, 1, 4, 6, 3, 5), (2, 1, 4, 6, 5, 3), (2, 1, 5, 4, 6, 3), (2, 1, 5, 6, 4, 3), (2, 1, 6, 3, 4, 5), (2, 1, 6, 4, 3, 5), (2, 1, 6, 4, 5, 3), (2, 1, 6, 5, 4, 3), (2, 3, 1, 4, 6, 5), (2, 3, 1, 6, 4, 5), (2, 3, 4, 1, 6, 5), (2, 3, 4, 5, 6, 1), (2, 3, 4, 6, 1, 5), (2, 3, 4, 6, 5, 1), (2, 3, 5, 4, 6, 1), (2, 3, 5, 6, 4, 1), (2, 3, 6, 1, 4, 5), (2, 3, 6, 4, 1, 5), (2, 3, 6, 4, 5, 1), (2, 3, 6, 5, 4, 1), (2, 4, 1, 3, 6, 5), (2, 4, 1, 5, 6, 3), (2, 4, 1, 6, 3, 5), (2, 4, 1, 6, 5, 3), (2, 4, 3, 1, 6, 5), (2, 4, 3, 5, 6, 1), (2, 4, 3, 6, 1, 5), (2, 4, 3, 6, 5, 1), (2, 4, 5, 1, 6, 3), (2, 4, 5, 3, 6, 1), (2, 4, 5, 6, 1, 3), (2, 4, 5, 6, 3, 1), (2, 4, 6, 1, 3, 5), (2, 4, 6, 1, 5, 3), (2, 4, 6, 3, 1, 5), (2, 4, 6, 3, 5, 1), (2, 4, 6, 5, 1, 3), (2, 4, 6, 5, 3, 1), (2, 5, 1, 4, 6, 3), (2, 5, 1, 6, 4, 3), (2, 5, 3, 4, 6, 1), (2, 5, 3, 6, 4, 1), (2, 5, 4, 1, 6, 3), (2, 5, 4, 3, 6, 1), (2, 5, 4, 6, 1, 3), (2, 5, 4, 6, 3, 1), (2, 5, 6, 1, 4, 3), (2, 5, 6, 3, 4, 1), (2, 5, 6, 4, 1, 3), (2, 5, 6, 4, 3, 1), (2, 6, 1, 3, 4, 5), (2, 6, 1, 4, 3, 5), (2, 6, 1, 4, 5, 3), (2, 6, 1, 5, 4, 3), (2, 6, 3, 1, 4, 5), (2, 6, 3, 4, 1, 5), (2, 6, 3, 4, 5, 1), (2, 6, 3, 5, 4, 1), (2, 6, 4, 1, 3, 5), (2, 6, 4, 1, 5, 3), (2, 6, 4, 3, 1, 5), (2, 6, 4, 3, 5, 1), (2, 6, 4, 5, 1, 3), (2, 6, 4, 5, 3, 1), (2, 6, 5, 1, 4, 3), (2, 6, 5, 3, 4, 1), (2, 6, 5, 4, 1, 3), (2, 6, 5, 4, 3, 1), (3, 1, 2, 4, 6, 5), (3, 1, 2, 6, 4, 5), (3, 1, 4, 2, 6, 5), (3, 1, 4, 6, 2, 5), (3, 1, 6, 2, 4, 5), (3, 1, 6, 4, 2, 5), (3, 2, 1, 4, 6, 5), (3, 2, 1, 6, 4, 5), (3, 2, 4, 1, 6, 5), (3, 2, 4, 5, 6, 1), (3, 2, 4, 6, 1, 5), (3, 2, 4, 6, 5, 1), (3, 2, 5, 4, 6, 1), (3, 2, 5, 6, 4, 1), (3, 2, 6, 1, 4, 5), (3, 2, 6, 4, 1, 5), (3, 2, 6, 4, 5, 1), (3, 2, 6, 5, 4, 1), (3, 4, 1, 2, 6, 5), (3, 4, 1, 6, 2, 5), (3, 4, 2, 1, 6, 5), (3, 4, 2, 5, 6, 1), (3, 4, 2, 6, 1, 5), (3, 4, 2, 6, 5, 1), (3, 4, 5, 2, 6, 1), (3, 4, 5, 6, 2, 1), (3, 4, 6, 1, 2, 5), (3, 4, 6, 2, 1, 5), (3, 4, 6, 2, 5, 1), (3, 4, 6, 5, 2, 1), (3, 5, 2, 4, 6, 1), (3, 5, 2, 6, 4, 1), (3, 5, 4, 2, 6, 1), (3, 5, 4, 6, 2, 1), (3, 5, 6, 2, 4, 1), (3, 5, 6, 4, 2, 1), (3, 6, 1, 2, 4, 5), (3, 6, 1, 4, 2, 5), (3, 6, 2, 1, 4, 5), (3, 6, 2, 4, 1, 5), (3, 6, 2, 4, 5, 1), (3, 6, 2, 5, 4, 1), (3, 6, 4, 1, 2, 5), (3, 6, 4, 2, 1, 5), (3, 6, 4, 2, 5, 1), (3, 6, 4, 5, 2, 1), (3, 6, 5, 2, 4, 1), (3, 6, 5, 4, 2, 1), (4, 1, 2, 3, 6, 5), (4, 1, 2, 5, 6, 3), (4, 1, 2, 6, 3, 5), (4, 1, 2, 6, 5, 3), (4, 1, 3, 2, 6, 5), (4, 1, 3, 6, 2, 5), (4, 1, 5, 2, 6, 3), (4, 1, 5, 6, 2, 3), (4, 1, 6, 2, 3, 5), (4, 1, 6, 2, 5, 3), (4, 1, 6, 3, 2, 5), (4, 1, 6, 5, 2, 3), (4, 2, 1, 3, 6, 5), (4, 2, 1, 5, 6, 3), (4, 2, 1, 6, 3, 5), (4, 2, 1, 6, 5, 3), (4, 2, 3, 1, 6, 5), (4, 2, 3, 5, 6, 1), (4, 2, 3, 6, 1, 5), (4, 2, 3, 6, 5, 1), (4, 2, 5, 1, 6, 3), (4, 2, 5, 3, 6, 1), (4, 2, 5, 6, 1, 3), (4, 2, 5, 6, 3, 1), (4, 2, 6, 1, 3, 5), (4, 2, 6, 1, 5, 3), (4, 2, 6, 3, 1, 5), (4, 2, 6, 3, 5, 1), (4, 2, 6, 5, 1, 3), (4, 2, 6, 5, 3, 1), (4, 3, 1, 2, 6, 5), (4, 3, 1, 6, 2, 5), (4, 3, 2, 1, 6, 5), (4, 3, 2, 5, 6, 1), (4, 3, 2, 6, 1, 5), (4, 3, 2, 6, 5, 1), (4, 3, 5, 2, 6, 1), (4, 3, 5, 6, 2, 1), (4, 3, 6, 1, 2, 5), (4, 3, 6, 2, 1, 5), (4, 3, 6, 2, 5, 1), (4, 3, 6, 5, 2, 1), (4, 5, 1, 2, 6, 3), (4, 5, 1, 6, 2, 3), (4, 5, 2, 1, 6, 3), (4, 5, 2, 3, 6, 1), (4, 5, 2, 6, 1, 3), (4, 5, 2, 6, 3, 1), (4, 5, 3, 2, 6, 1), (4, 5, 3, 6, 2, 1), (4, 5, 6, 1, 2, 3), (4, 5, 6, 2, 1, 3), (4, 5, 6, 2, 3, 1), (4, 5, 6, 3, 2, 1), (4, 6, 1, 2, 3, 5), (4, 6, 1, 2, 5, 3), (4, 6, 1, 3, 2, 5), (4, 6, 1, 5, 2, 3), (4, 6, 2, 1, 3, 5), (4, 6, 2, 1, 5, 3), (4, 6, 2, 3, 1, 5), (4, 6, 2, 3, 5, 1), (4, 6, 2, 5, 1, 3), (4, 6, 2, 5, 3, 1), (4, 6, 3, 1, 2, 5), (4, 6, 3, 2, 1, 5), (4, 6, 3, 2, 5, 1), (4, 6, 3, 5, 2, 1), (4, 6, 5, 1, 2, 3), (4, 6, 5, 2, 1, 3), (4, 6, 5, 2, 3, 1), (4, 6, 5, 3, 2, 1), (5, 1, 2, 4, 6, 3), (5, 1, 2, 6, 4, 3), (5, 1, 4, 2, 6, 3), (5, 1, 4, 6, 2, 3), (5, 1, 6, 2, 4, 3), (5, 1, 6, 4, 2, 3), (5, 2, 1, 4, 6, 3), (5, 2, 1, 6, 4, 3), (5, 2, 3, 4, 6, 1), (5, 2, 3, 6, 4, 1), (5, 2, 4, 1, 6, 3), (5, 2, 4, 3, 6, 1), (5, 2, 4, 6, 1, 3), (5, 2, 4, 6, 3, 1), (5, 2, 6, 1, 4, 3), (5, 2, 6, 3, 4, 1), (5, 2, 6, 4, 1, 3), (5, 2, 6, 4, 3, 1), (5, 3, 2, 4, 6, 1), (5, 3, 2, 6, 4, 1), (5, 3, 4, 2, 6, 1), (5, 3, 4, 6, 2, 1), (5, 3, 6, 2, 4, 1), (5, 3, 6, 4, 2, 1), (5, 4, 1, 2, 6, 3), (5, 4, 1, 6, 2, 3), (5, 4, 2, 1, 6, 3), (5, 4, 2, 3, 6, 1), (5, 4, 2, 6, 1, 3), (5, 4, 2, 6, 3, 1), (5, 4, 3, 2, 6, 1), (5, 4, 3, 6, 2, 1), (5, 4, 6, 1, 2, 3), (5, 4, 6, 2, 1, 3), (5, 4, 6, 2, 3, 1), (5, 4, 6, 3, 2, 1), (5, 6, 1, 2, 4, 3), (5, 6, 1, 4, 2, 3), (5, 6, 2, 1, 4, 3), (5, 6, 2, 3, 4, 1), (5, 6, 2, 4, 1, 3), (5, 6, 2, 4, 3, 1), (5, 6, 3, 2, 4, 1), (5, 6, 3, 4, 2, 1), (5, 6, 4, 1, 2, 3), (5, 6, 4, 2, 1, 3), (5, 6, 4, 2, 3, 1), (5, 6, 4, 3, 2, 1), (6, 1, 2, 3, 4, 5), (6, 1, 2, 4, 3, 5), (6, 1, 2, 4, 5, 3), (6, 1, 2, 5, 4, 3), (6, 1, 3, 2, 4, 5), (6, 1, 3, 4, 2, 5), (6, 1, 4, 2, 3, 5), (6, 1, 4, 2, 5, 3), (6, 1, 4, 3, 2, 5), (6, 1, 4, 5, 2, 3), (6, 1, 5, 2, 4, 3), (6, 1, 5, 4, 2, 3), (6, 2, 1, 3, 4, 5), (6, 2, 1, 4, 3, 5), (6, 2, 1, 4, 5, 3), (6, 2, 1, 5, 4, 3), (6, 2, 3, 1, 4, 5), (6, 2, 3, 4, 1, 5), (6, 2, 3, 4, 5, 1), (6, 2, 3, 5, 4, 1), (6, 2, 4, 1, 3, 5), (6, 2, 4, 1, 5, 3), (6, 2, 4, 3, 1, 5), (6, 2, 4, 3, 5, 1), (6, 2, 4, 5, 1, 3), (6, 2, 4, 5, 3, 1), (6, 2, 5, 1, 4, 3), (6, 2, 5, 3, 4, 1), (6, 2, 5, 4, 1, 3), (6, 2, 5, 4, 3, 1), (6, 3, 1, 2, 4, 5), (6, 3, 1, 4, 2, 5), (6, 3, 2, 1, 4, 5), (6, 3, 2, 4, 1, 5), (6, 3, 2, 4, 5, 1), (6, 3, 2, 5, 4, 1), (6, 3, 4, 1, 2, 5), (6, 3, 4, 2, 1, 5), (6, 3, 4, 2, 5, 1), (6, 3, 4, 5, 2, 1), (6, 3, 5, 2, 4, 1), (6, 3, 5, 4, 2, 1), (6, 4, 1, 2, 3, 5), (6, 4, 1, 2, 5, 3), (6, 4, 1, 3, 2, 5), (6, 4, 1, 5, 2, 3), (6, 4, 2, 1, 3, 5), (6, 4, 2, 1, 5, 3), (6, 4, 2, 3, 1, 5), (6, 4, 2, 3, 5, 1), (6, 4, 2, 5, 1, 3), (6, 4, 2, 5, 3, 1), (6, 4, 3, 1, 2, 5), (6, 4, 3, 2, 1, 5), (6, 4, 3, 2, 5, 1), (6, 4, 3, 5, 2, 1), (6, 4, 5, 1, 2, 3), (6, 4, 5, 2, 1, 3), (6, 4, 5, 2, 3, 1), (6, 4, 5, 3, 2, 1), (6, 5, 1, 2, 4, 3), (6, 5, 1, 4, 2, 3), (6, 5, 2, 1, 4, 3), (6, 5, 2, 3, 4, 1), (6, 5, 2, 4, 1, 3), (6, 5, 2, 4, 3, 1), (6, 5, 3, 2, 4, 1), (6, 5, 3, 4, 2, 1), (6, 5, 4, 1, 2, 3), (6, 5, 4, 2, 1, 3), (6, 5, 4, 2, 3, 1), (6, 5, 4, 3, 2, 1)]
len(permSc)
permSd=list(filter(lambda x: x[-2]==2 and x[-1]==1, permS))
DSTG.ispis(permSd,80)
[(3, 4, 5, 6, 2, 1), (3, 4, 6, 5, 2, 1), (3, 5, 4, 6, 2, 1), (3, 5, 6, 4, 2, 1), (3, 6, 4, 5, 2, 1), (3, 6, 5, 4, 2, 1), (4, 3, 5, 6, 2, 1), (4, 3, 6, 5, 2, 1), (4, 5, 3, 6, 2, 1), (4, 5, 6, 3, 2, 1), (4, 6, 3, 5, 2, 1), (4, 6, 5, 3, 2, 1), (5, 3, 4, 6, 2, 1), (5, 3, 6, 4, 2, 1), (5, 4, 3, 6, 2, 1), (5, 4, 6, 3, 2, 1), (5, 6, 3, 4, 2, 1), (5, 6, 4, 3, 2, 1), (6, 3, 4, 5, 2, 1), (6, 3, 5, 4, 2, 1), (6, 4, 3, 5, 2, 1), (6, 4, 5, 3, 2, 1), (6, 5, 3, 4, 2, 1), (6, 5, 4, 3, 2, 1)]
len(permSd)
permSe=list(filter(lambda x: x[-3]!=2 or x[-2]!=3 or x[-1]!=4, permS))
DSTG.ispis(permSe,80)
[(1, 2, 3, 4, 5, 6), (1, 2, 3, 4, 6, 5), (1, 2, 3, 5, 4, 6), (1, 2, 3, 5, 6, 4), (1, 2, 3, 6, 4, 5), (1, 2, 3, 6, 5, 4), (1, 2, 4, 3, 5, 6), (1, 2, 4, 3, 6, 5), (1, 2, 4, 5, 3, 6), (1, 2, 4, 5, 6, 3), (1, 2, 4, 6, 3, 5), (1, 2, 4, 6, 5, 3), (1, 2, 5, 3, 4, 6), (1, 2, 5, 3, 6, 4), (1, 2, 5, 4, 3, 6), (1, 2, 5, 4, 6, 3), (1, 2, 5, 6, 3, 4), (1, 2, 5, 6, 4, 3), (1, 2, 6, 3, 4, 5), (1, 2, 6, 3, 5, 4), (1, 2, 6, 4, 3, 5), (1, 2, 6, 4, 5, 3), (1, 2, 6, 5, 3, 4), (1, 2, 6, 5, 4, 3), (1, 3, 2, 4, 5, 6), (1, 3, 2, 4, 6, 5), (1, 3, 2, 5, 4, 6), (1, 3, 2, 5, 6, 4), (1, 3, 2, 6, 4, 5), (1, 3, 2, 6, 5, 4), (1, 3, 4, 2, 5, 6), (1, 3, 4, 2, 6, 5), (1, 3, 4, 5, 2, 6), (1, 3, 4, 5, 6, 2), (1, 3, 4, 6, 2, 5), (1, 3, 4, 6, 5, 2), (1, 3, 5, 2, 4, 6), (1, 3, 5, 2, 6, 4), (1, 3, 5, 4, 2, 6), (1, 3, 5, 4, 6, 2), (1, 3, 5, 6, 2, 4), (1, 3, 5, 6, 4, 2), (1, 3, 6, 2, 4, 5), (1, 3, 6, 2, 5, 4), (1, 3, 6, 4, 2, 5), (1, 3, 6, 4, 5, 2), (1, 3, 6, 5, 2, 4), (1, 3, 6, 5, 4, 2), (1, 4, 2, 3, 5, 6), (1, 4, 2, 3, 6, 5), (1, 4, 2, 5, 3, 6), (1, 4, 2, 5, 6, 3), (1, 4, 2, 6, 3, 5), (1, 4, 2, 6, 5, 3), (1, 4, 3, 2, 5, 6), (1, 4, 3, 2, 6, 5), (1, 4, 3, 5, 2, 6), (1, 4, 3, 5, 6, 2), (1, 4, 3, 6, 2, 5), (1, 4, 3, 6, 5, 2), (1, 4, 5, 2, 3, 6), (1, 4, 5, 2, 6, 3), (1, 4, 5, 3, 2, 6), (1, 4, 5, 3, 6, 2), (1, 4, 5, 6, 2, 3), (1, 4, 5, 6, 3, 2), (1, 4, 6, 2, 3, 5), (1, 4, 6, 2, 5, 3), (1, 4, 6, 3, 2, 5), (1, 4, 6, 3, 5, 2), (1, 4, 6, 5, 2, 3), (1, 4, 6, 5, 3, 2), (1, 5, 2, 3, 4, 6), (1, 5, 2, 3, 6, 4), (1, 5, 2, 4, 3, 6), (1, 5, 2, 4, 6, 3), (1, 5, 2, 6, 3, 4), (1, 5, 2, 6, 4, 3), (1, 5, 3, 2, 4, 6), (1, 5, 3, 2, 6, 4), (1, 5, 3, 4, 2, 6), (1, 5, 3, 4, 6, 2), (1, 5, 3, 6, 2, 4), (1, 5, 3, 6, 4, 2), (1, 5, 4, 2, 3, 6), (1, 5, 4, 2, 6, 3), (1, 5, 4, 3, 2, 6), (1, 5, 4, 3, 6, 2), (1, 5, 4, 6, 2, 3), (1, 5, 4, 6, 3, 2), (1, 5, 6, 2, 4, 3), (1, 5, 6, 3, 2, 4), (1, 5, 6, 3, 4, 2), (1, 5, 6, 4, 2, 3), (1, 5, 6, 4, 3, 2), (1, 6, 2, 3, 4, 5), (1, 6, 2, 3, 5, 4), (1, 6, 2, 4, 3, 5), (1, 6, 2, 4, 5, 3), (1, 6, 2, 5, 3, 4), (1, 6, 2, 5, 4, 3), (1, 6, 3, 2, 4, 5), (1, 6, 3, 2, 5, 4), (1, 6, 3, 4, 2, 5), (1, 6, 3, 4, 5, 2), (1, 6, 3, 5, 2, 4), (1, 6, 3, 5, 4, 2), (1, 6, 4, 2, 3, 5), (1, 6, 4, 2, 5, 3), (1, 6, 4, 3, 2, 5), (1, 6, 4, 3, 5, 2), (1, 6, 4, 5, 2, 3), (1, 6, 4, 5, 3, 2), (1, 6, 5, 2, 4, 3), (1, 6, 5, 3, 2, 4), (1, 6, 5, 3, 4, 2), (1, 6, 5, 4, 2, 3), (1, 6, 5, 4, 3, 2), (2, 1, 3, 4, 5, 6), (2, 1, 3, 4, 6, 5), (2, 1, 3, 5, 4, 6), (2, 1, 3, 5, 6, 4), (2, 1, 3, 6, 4, 5), (2, 1, 3, 6, 5, 4), (2, 1, 4, 3, 5, 6), (2, 1, 4, 3, 6, 5), (2, 1, 4, 5, 3, 6), (2, 1, 4, 5, 6, 3), (2, 1, 4, 6, 3, 5), (2, 1, 4, 6, 5, 3), (2, 1, 5, 3, 4, 6), (2, 1, 5, 3, 6, 4), (2, 1, 5, 4, 3, 6), (2, 1, 5, 4, 6, 3), (2, 1, 5, 6, 3, 4), (2, 1, 5, 6, 4, 3), (2, 1, 6, 3, 4, 5), (2, 1, 6, 3, 5, 4), (2, 1, 6, 4, 3, 5), (2, 1, 6, 4, 5, 3), (2, 1, 6, 5, 3, 4), (2, 1, 6, 5, 4, 3), (2, 3, 1, 4, 5, 6), (2, 3, 1, 4, 6, 5), (2, 3, 1, 5, 4, 6), (2, 3, 1, 5, 6, 4), (2, 3, 1, 6, 4, 5), (2, 3, 1, 6, 5, 4), (2, 3, 4, 1, 5, 6), (2, 3, 4, 1, 6, 5), (2, 3, 4, 5, 1, 6), (2, 3, 4, 5, 6, 1), (2, 3, 4, 6, 1, 5), (2, 3, 4, 6, 5, 1), (2, 3, 5, 1, 4, 6), (2, 3, 5, 1, 6, 4), (2, 3, 5, 4, 1, 6), (2, 3, 5, 4, 6, 1), (2, 3, 5, 6, 1, 4), (2, 3, 5, 6, 4, 1), (2, 3, 6, 1, 4, 5), (2, 3, 6, 1, 5, 4), (2, 3, 6, 4, 1, 5), (2, 3, 6, 4, 5, 1), (2, 3, 6, 5, 1, 4), (2, 3, 6, 5, 4, 1), (2, 4, 1, 3, 5, 6), (2, 4, 1, 3, 6, 5), (2, 4, 1, 5, 3, 6), (2, 4, 1, 5, 6, 3), (2, 4, 1, 6, 3, 5), (2, 4, 1, 6, 5, 3), (2, 4, 3, 1, 5, 6), (2, 4, 3, 1, 6, 5), (2, 4, 3, 5, 1, 6), (2, 4, 3, 5, 6, 1), (2, 4, 3, 6, 1, 5), (2, 4, 3, 6, 5, 1), (2, 4, 5, 1, 3, 6), (2, 4, 5, 1, 6, 3), (2, 4, 5, 3, 1, 6), (2, 4, 5, 3, 6, 1), (2, 4, 5, 6, 1, 3), (2, 4, 5, 6, 3, 1), (2, 4, 6, 1, 3, 5), (2, 4, 6, 1, 5, 3), (2, 4, 6, 3, 1, 5), (2, 4, 6, 3, 5, 1), (2, 4, 6, 5, 1, 3), (2, 4, 6, 5, 3, 1), (2, 5, 1, 3, 4, 6), (2, 5, 1, 3, 6, 4), (2, 5, 1, 4, 3, 6), (2, 5, 1, 4, 6, 3), (2, 5, 1, 6, 3, 4), (2, 5, 1, 6, 4, 3), (2, 5, 3, 1, 4, 6), (2, 5, 3, 1, 6, 4), (2, 5, 3, 4, 1, 6), (2, 5, 3, 4, 6, 1), (2, 5, 3, 6, 1, 4), (2, 5, 3, 6, 4, 1), (2, 5, 4, 1, 3, 6), (2, 5, 4, 1, 6, 3), (2, 5, 4, 3, 1, 6), (2, 5, 4, 3, 6, 1), (2, 5, 4, 6, 1, 3), (2, 5, 4, 6, 3, 1), (2, 5, 6, 1, 3, 4), (2, 5, 6, 1, 4, 3), (2, 5, 6, 3, 1, 4), (2, 5, 6, 3, 4, 1), (2, 5, 6, 4, 1, 3), (2, 5, 6, 4, 3, 1), (2, 6, 1, 3, 4, 5), (2, 6, 1, 3, 5, 4), (2, 6, 1, 4, 3, 5), (2, 6, 1, 4, 5, 3), (2, 6, 1, 5, 3, 4), (2, 6, 1, 5, 4, 3), (2, 6, 3, 1, 4, 5), (2, 6, 3, 1, 5, 4), (2, 6, 3, 4, 1, 5), (2, 6, 3, 4, 5, 1), (2, 6, 3, 5, 1, 4), (2, 6, 3, 5, 4, 1), (2, 6, 4, 1, 3, 5), (2, 6, 4, 1, 5, 3), (2, 6, 4, 3, 1, 5), (2, 6, 4, 3, 5, 1), (2, 6, 4, 5, 1, 3), (2, 6, 4, 5, 3, 1), (2, 6, 5, 1, 3, 4), (2, 6, 5, 1, 4, 3), (2, 6, 5, 3, 1, 4), (2, 6, 5, 3, 4, 1), (2, 6, 5, 4, 1, 3), (2, 6, 5, 4, 3, 1), (3, 1, 2, 4, 5, 6), (3, 1, 2, 4, 6, 5), (3, 1, 2, 5, 4, 6), (3, 1, 2, 5, 6, 4), (3, 1, 2, 6, 4, 5), (3, 1, 2, 6, 5, 4), (3, 1, 4, 2, 5, 6), (3, 1, 4, 2, 6, 5), (3, 1, 4, 5, 2, 6), (3, 1, 4, 5, 6, 2), (3, 1, 4, 6, 2, 5), (3, 1, 4, 6, 5, 2), (3, 1, 5, 2, 4, 6), (3, 1, 5, 2, 6, 4), (3, 1, 5, 4, 2, 6), (3, 1, 5, 4, 6, 2), (3, 1, 5, 6, 2, 4), (3, 1, 5, 6, 4, 2), (3, 1, 6, 2, 4, 5), (3, 1, 6, 2, 5, 4), (3, 1, 6, 4, 2, 5), (3, 1, 6, 4, 5, 2), (3, 1, 6, 5, 2, 4), (3, 1, 6, 5, 4, 2), (3, 2, 1, 4, 5, 6), (3, 2, 1, 4, 6, 5), (3, 2, 1, 5, 4, 6), (3, 2, 1, 5, 6, 4), (3, 2, 1, 6, 4, 5), (3, 2, 1, 6, 5, 4), (3, 2, 4, 1, 5, 6), (3, 2, 4, 1, 6, 5), (3, 2, 4, 5, 1, 6), (3, 2, 4, 5, 6, 1), (3, 2, 4, 6, 1, 5), (3, 2, 4, 6, 5, 1), (3, 2, 5, 1, 4, 6), (3, 2, 5, 1, 6, 4), (3, 2, 5, 4, 1, 6), (3, 2, 5, 4, 6, 1), (3, 2, 5, 6, 1, 4), (3, 2, 5, 6, 4, 1), (3, 2, 6, 1, 4, 5), (3, 2, 6, 1, 5, 4), (3, 2, 6, 4, 1, 5), (3, 2, 6, 4, 5, 1), (3, 2, 6, 5, 1, 4), (3, 2, 6, 5, 4, 1), (3, 4, 1, 2, 5, 6), (3, 4, 1, 2, 6, 5), (3, 4, 1, 5, 2, 6), (3, 4, 1, 5, 6, 2), (3, 4, 1, 6, 2, 5), (3, 4, 1, 6, 5, 2), (3, 4, 2, 1, 5, 6), (3, 4, 2, 1, 6, 5), (3, 4, 2, 5, 1, 6), (3, 4, 2, 5, 6, 1), (3, 4, 2, 6, 1, 5), (3, 4, 2, 6, 5, 1), (3, 4, 5, 1, 2, 6), (3, 4, 5, 1, 6, 2), (3, 4, 5, 2, 1, 6), (3, 4, 5, 2, 6, 1), (3, 4, 5, 6, 1, 2), (3, 4, 5, 6, 2, 1), (3, 4, 6, 1, 2, 5), (3, 4, 6, 1, 5, 2), (3, 4, 6, 2, 1, 5), (3, 4, 6, 2, 5, 1), (3, 4, 6, 5, 1, 2), (3, 4, 6, 5, 2, 1), (3, 5, 1, 2, 4, 6), (3, 5, 1, 2, 6, 4), (3, 5, 1, 4, 2, 6), (3, 5, 1, 4, 6, 2), (3, 5, 1, 6, 2, 4), (3, 5, 1, 6, 4, 2), (3, 5, 2, 1, 4, 6), (3, 5, 2, 1, 6, 4), (3, 5, 2, 4, 1, 6), (3, 5, 2, 4, 6, 1), (3, 5, 2, 6, 1, 4), (3, 5, 2, 6, 4, 1), (3, 5, 4, 1, 2, 6), (3, 5, 4, 1, 6, 2), (3, 5, 4, 2, 1, 6), (3, 5, 4, 2, 6, 1), (3, 5, 4, 6, 1, 2), (3, 5, 4, 6, 2, 1), (3, 5, 6, 1, 2, 4), (3, 5, 6, 1, 4, 2), (3, 5, 6, 2, 1, 4), (3, 5, 6, 2, 4, 1), (3, 5, 6, 4, 1, 2), (3, 5, 6, 4, 2, 1), (3, 6, 1, 2, 4, 5), (3, 6, 1, 2, 5, 4), (3, 6, 1, 4, 2, 5), (3, 6, 1, 4, 5, 2), (3, 6, 1, 5, 2, 4), (3, 6, 1, 5, 4, 2), (3, 6, 2, 1, 4, 5), (3, 6, 2, 1, 5, 4), (3, 6, 2, 4, 1, 5), (3, 6, 2, 4, 5, 1), (3, 6, 2, 5, 1, 4), (3, 6, 2, 5, 4, 1), (3, 6, 4, 1, 2, 5), (3, 6, 4, 1, 5, 2), (3, 6, 4, 2, 1, 5), (3, 6, 4, 2, 5, 1), (3, 6, 4, 5, 1, 2), (3, 6, 4, 5, 2, 1), (3, 6, 5, 1, 2, 4), (3, 6, 5, 1, 4, 2), (3, 6, 5, 2, 1, 4), (3, 6, 5, 2, 4, 1), (3, 6, 5, 4, 1, 2), (3, 6, 5, 4, 2, 1), (4, 1, 2, 3, 5, 6), (4, 1, 2, 3, 6, 5), (4, 1, 2, 5, 3, 6), (4, 1, 2, 5, 6, 3), (4, 1, 2, 6, 3, 5), (4, 1, 2, 6, 5, 3), (4, 1, 3, 2, 5, 6), (4, 1, 3, 2, 6, 5), (4, 1, 3, 5, 2, 6), (4, 1, 3, 5, 6, 2), (4, 1, 3, 6, 2, 5), (4, 1, 3, 6, 5, 2), (4, 1, 5, 2, 3, 6), (4, 1, 5, 2, 6, 3), (4, 1, 5, 3, 2, 6), (4, 1, 5, 3, 6, 2), (4, 1, 5, 6, 2, 3), (4, 1, 5, 6, 3, 2), (4, 1, 6, 2, 3, 5), (4, 1, 6, 2, 5, 3), (4, 1, 6, 3, 2, 5), (4, 1, 6, 3, 5, 2), (4, 1, 6, 5, 2, 3), (4, 1, 6, 5, 3, 2), (4, 2, 1, 3, 5, 6), (4, 2, 1, 3, 6, 5), (4, 2, 1, 5, 3, 6), (4, 2, 1, 5, 6, 3), (4, 2, 1, 6, 3, 5), (4, 2, 1, 6, 5, 3), (4, 2, 3, 1, 5, 6), (4, 2, 3, 1, 6, 5), (4, 2, 3, 5, 1, 6), (4, 2, 3, 5, 6, 1), (4, 2, 3, 6, 1, 5), (4, 2, 3, 6, 5, 1), (4, 2, 5, 1, 3, 6), (4, 2, 5, 1, 6, 3), (4, 2, 5, 3, 1, 6), (4, 2, 5, 3, 6, 1), (4, 2, 5, 6, 1, 3), (4, 2, 5, 6, 3, 1), (4, 2, 6, 1, 3, 5), (4, 2, 6, 1, 5, 3), (4, 2, 6, 3, 1, 5), (4, 2, 6, 3, 5, 1), (4, 2, 6, 5, 1, 3), (4, 2, 6, 5, 3, 1), (4, 3, 1, 2, 5, 6), (4, 3, 1, 2, 6, 5), (4, 3, 1, 5, 2, 6), (4, 3, 1, 5, 6, 2), (4, 3, 1, 6, 2, 5), (4, 3, 1, 6, 5, 2), (4, 3, 2, 1, 5, 6), (4, 3, 2, 1, 6, 5), (4, 3, 2, 5, 1, 6), (4, 3, 2, 5, 6, 1), (4, 3, 2, 6, 1, 5), (4, 3, 2, 6, 5, 1), (4, 3, 5, 1, 2, 6), (4, 3, 5, 1, 6, 2), (4, 3, 5, 2, 1, 6), (4, 3, 5, 2, 6, 1), (4, 3, 5, 6, 1, 2), (4, 3, 5, 6, 2, 1), (4, 3, 6, 1, 2, 5), (4, 3, 6, 1, 5, 2), (4, 3, 6, 2, 1, 5), (4, 3, 6, 2, 5, 1), (4, 3, 6, 5, 1, 2), (4, 3, 6, 5, 2, 1), (4, 5, 1, 2, 3, 6), (4, 5, 1, 2, 6, 3), (4, 5, 1, 3, 2, 6), (4, 5, 1, 3, 6, 2), (4, 5, 1, 6, 2, 3), (4, 5, 1, 6, 3, 2), (4, 5, 2, 1, 3, 6), (4, 5, 2, 1, 6, 3), (4, 5, 2, 3, 1, 6), (4, 5, 2, 3, 6, 1), (4, 5, 2, 6, 1, 3), (4, 5, 2, 6, 3, 1), (4, 5, 3, 1, 2, 6), (4, 5, 3, 1, 6, 2), (4, 5, 3, 2, 1, 6), (4, 5, 3, 2, 6, 1), (4, 5, 3, 6, 1, 2), (4, 5, 3, 6, 2, 1), (4, 5, 6, 1, 2, 3), (4, 5, 6, 1, 3, 2), (4, 5, 6, 2, 1, 3), (4, 5, 6, 2, 3, 1), (4, 5, 6, 3, 1, 2), (4, 5, 6, 3, 2, 1), (4, 6, 1, 2, 3, 5), (4, 6, 1, 2, 5, 3), (4, 6, 1, 3, 2, 5), (4, 6, 1, 3, 5, 2), (4, 6, 1, 5, 2, 3), (4, 6, 1, 5, 3, 2), (4, 6, 2, 1, 3, 5), (4, 6, 2, 1, 5, 3), (4, 6, 2, 3, 1, 5), (4, 6, 2, 3, 5, 1), (4, 6, 2, 5, 1, 3), (4, 6, 2, 5, 3, 1), (4, 6, 3, 1, 2, 5), (4, 6, 3, 1, 5, 2), (4, 6, 3, 2, 1, 5), (4, 6, 3, 2, 5, 1), (4, 6, 3, 5, 1, 2), (4, 6, 3, 5, 2, 1), (4, 6, 5, 1, 2, 3), (4, 6, 5, 1, 3, 2), (4, 6, 5, 2, 1, 3), (4, 6, 5, 2, 3, 1), (4, 6, 5, 3, 1, 2), (4, 6, 5, 3, 2, 1), (5, 1, 2, 3, 4, 6), (5, 1, 2, 3, 6, 4), (5, 1, 2, 4, 3, 6), (5, 1, 2, 4, 6, 3), (5, 1, 2, 6, 3, 4), (5, 1, 2, 6, 4, 3), (5, 1, 3, 2, 4, 6), (5, 1, 3, 2, 6, 4), (5, 1, 3, 4, 2, 6), (5, 1, 3, 4, 6, 2), (5, 1, 3, 6, 2, 4), (5, 1, 3, 6, 4, 2), (5, 1, 4, 2, 3, 6), (5, 1, 4, 2, 6, 3), (5, 1, 4, 3, 2, 6), (5, 1, 4, 3, 6, 2), (5, 1, 4, 6, 2, 3), (5, 1, 4, 6, 3, 2), (5, 1, 6, 2, 4, 3), (5, 1, 6, 3, 2, 4), (5, 1, 6, 3, 4, 2), (5, 1, 6, 4, 2, 3), (5, 1, 6, 4, 3, 2), (5, 2, 1, 3, 4, 6), (5, 2, 1, 3, 6, 4), (5, 2, 1, 4, 3, 6), (5, 2, 1, 4, 6, 3), (5, 2, 1, 6, 3, 4), (5, 2, 1, 6, 4, 3), (5, 2, 3, 1, 4, 6), (5, 2, 3, 1, 6, 4), (5, 2, 3, 4, 1, 6), (5, 2, 3, 4, 6, 1), (5, 2, 3, 6, 1, 4), (5, 2, 3, 6, 4, 1), (5, 2, 4, 1, 3, 6), (5, 2, 4, 1, 6, 3), (5, 2, 4, 3, 1, 6), (5, 2, 4, 3, 6, 1), (5, 2, 4, 6, 1, 3), (5, 2, 4, 6, 3, 1), (5, 2, 6, 1, 3, 4), (5, 2, 6, 1, 4, 3), (5, 2, 6, 3, 1, 4), (5, 2, 6, 3, 4, 1), (5, 2, 6, 4, 1, 3), (5, 2, 6, 4, 3, 1), (5, 3, 1, 2, 4, 6), (5, 3, 1, 2, 6, 4), (5, 3, 1, 4, 2, 6), (5, 3, 1, 4, 6, 2), (5, 3, 1, 6, 2, 4), (5, 3, 1, 6, 4, 2), (5, 3, 2, 1, 4, 6), (5, 3, 2, 1, 6, 4), (5, 3, 2, 4, 1, 6), (5, 3, 2, 4, 6, 1), (5, 3, 2, 6, 1, 4), (5, 3, 2, 6, 4, 1), (5, 3, 4, 1, 2, 6), (5, 3, 4, 1, 6, 2), (5, 3, 4, 2, 1, 6), (5, 3, 4, 2, 6, 1), (5, 3, 4, 6, 1, 2), (5, 3, 4, 6, 2, 1), (5, 3, 6, 1, 2, 4), (5, 3, 6, 1, 4, 2), (5, 3, 6, 2, 1, 4), (5, 3, 6, 2, 4, 1), (5, 3, 6, 4, 1, 2), (5, 3, 6, 4, 2, 1), (5, 4, 1, 2, 3, 6), (5, 4, 1, 2, 6, 3), (5, 4, 1, 3, 2, 6), (5, 4, 1, 3, 6, 2), (5, 4, 1, 6, 2, 3), (5, 4, 1, 6, 3, 2), (5, 4, 2, 1, 3, 6), (5, 4, 2, 1, 6, 3), (5, 4, 2, 3, 1, 6), (5, 4, 2, 3, 6, 1), (5, 4, 2, 6, 1, 3), (5, 4, 2, 6, 3, 1), (5, 4, 3, 1, 2, 6), (5, 4, 3, 1, 6, 2), (5, 4, 3, 2, 1, 6), (5, 4, 3, 2, 6, 1), (5, 4, 3, 6, 1, 2), (5, 4, 3, 6, 2, 1), (5, 4, 6, 1, 2, 3), (5, 4, 6, 1, 3, 2), (5, 4, 6, 2, 1, 3), (5, 4, 6, 2, 3, 1), (5, 4, 6, 3, 1, 2), (5, 4, 6, 3, 2, 1), (5, 6, 1, 2, 4, 3), (5, 6, 1, 3, 2, 4), (5, 6, 1, 3, 4, 2), (5, 6, 1, 4, 2, 3), (5, 6, 1, 4, 3, 2), (5, 6, 2, 1, 3, 4), (5, 6, 2, 1, 4, 3), (5, 6, 2, 3, 1, 4), (5, 6, 2, 3, 4, 1), (5, 6, 2, 4, 1, 3), (5, 6, 2, 4, 3, 1), (5, 6, 3, 1, 2, 4), (5, 6, 3, 1, 4, 2), (5, 6, 3, 2, 1, 4), (5, 6, 3, 2, 4, 1), (5, 6, 3, 4, 1, 2), (5, 6, 3, 4, 2, 1), (5, 6, 4, 1, 2, 3), (5, 6, 4, 1, 3, 2), (5, 6, 4, 2, 1, 3), (5, 6, 4, 2, 3, 1), (5, 6, 4, 3, 1, 2), (5, 6, 4, 3, 2, 1), (6, 1, 2, 3, 4, 5), (6, 1, 2, 3, 5, 4), (6, 1, 2, 4, 3, 5), (6, 1, 2, 4, 5, 3), (6, 1, 2, 5, 3, 4), (6, 1, 2, 5, 4, 3), (6, 1, 3, 2, 4, 5), (6, 1, 3, 2, 5, 4), (6, 1, 3, 4, 2, 5), (6, 1, 3, 4, 5, 2), (6, 1, 3, 5, 2, 4), (6, 1, 3, 5, 4, 2), (6, 1, 4, 2, 3, 5), (6, 1, 4, 2, 5, 3), (6, 1, 4, 3, 2, 5), (6, 1, 4, 3, 5, 2), (6, 1, 4, 5, 2, 3), (6, 1, 4, 5, 3, 2), (6, 1, 5, 2, 4, 3), (6, 1, 5, 3, 2, 4), (6, 1, 5, 3, 4, 2), (6, 1, 5, 4, 2, 3), (6, 1, 5, 4, 3, 2), (6, 2, 1, 3, 4, 5), (6, 2, 1, 3, 5, 4), (6, 2, 1, 4, 3, 5), (6, 2, 1, 4, 5, 3), (6, 2, 1, 5, 3, 4), (6, 2, 1, 5, 4, 3), (6, 2, 3, 1, 4, 5), (6, 2, 3, 1, 5, 4), (6, 2, 3, 4, 1, 5), (6, 2, 3, 4, 5, 1), (6, 2, 3, 5, 1, 4), (6, 2, 3, 5, 4, 1), (6, 2, 4, 1, 3, 5), (6, 2, 4, 1, 5, 3), (6, 2, 4, 3, 1, 5), (6, 2, 4, 3, 5, 1), (6, 2, 4, 5, 1, 3), (6, 2, 4, 5, 3, 1), (6, 2, 5, 1, 3, 4), (6, 2, 5, 1, 4, 3), (6, 2, 5, 3, 1, 4), (6, 2, 5, 3, 4, 1), (6, 2, 5, 4, 1, 3), (6, 2, 5, 4, 3, 1), (6, 3, 1, 2, 4, 5), (6, 3, 1, 2, 5, 4), (6, 3, 1, 4, 2, 5), (6, 3, 1, 4, 5, 2), (6, 3, 1, 5, 2, 4), (6, 3, 1, 5, 4, 2), (6, 3, 2, 1, 4, 5), (6, 3, 2, 1, 5, 4), (6, 3, 2, 4, 1, 5), (6, 3, 2, 4, 5, 1), (6, 3, 2, 5, 1, 4), (6, 3, 2, 5, 4, 1), (6, 3, 4, 1, 2, 5), (6, 3, 4, 1, 5, 2), (6, 3, 4, 2, 1, 5), (6, 3, 4, 2, 5, 1), (6, 3, 4, 5, 1, 2), (6, 3, 4, 5, 2, 1), (6, 3, 5, 1, 2, 4), (6, 3, 5, 1, 4, 2), (6, 3, 5, 2, 1, 4), (6, 3, 5, 2, 4, 1), (6, 3, 5, 4, 1, 2), (6, 3, 5, 4, 2, 1), (6, 4, 1, 2, 3, 5), (6, 4, 1, 2, 5, 3), (6, 4, 1, 3, 2, 5), (6, 4, 1, 3, 5, 2), (6, 4, 1, 5, 2, 3), (6, 4, 1, 5, 3, 2), (6, 4, 2, 1, 3, 5), (6, 4, 2, 1, 5, 3), (6, 4, 2, 3, 1, 5), (6, 4, 2, 3, 5, 1), (6, 4, 2, 5, 1, 3), (6, 4, 2, 5, 3, 1), (6, 4, 3, 1, 2, 5), (6, 4, 3, 1, 5, 2), (6, 4, 3, 2, 1, 5), (6, 4, 3, 2, 5, 1), (6, 4, 3, 5, 1, 2), (6, 4, 3, 5, 2, 1), (6, 4, 5, 1, 2, 3), (6, 4, 5, 1, 3, 2), (6, 4, 5, 2, 1, 3), (6, 4, 5, 2, 3, 1), (6, 4, 5, 3, 1, 2), (6, 4, 5, 3, 2, 1), (6, 5, 1, 2, 4, 3), (6, 5, 1, 3, 2, 4), (6, 5, 1, 3, 4, 2), (6, 5, 1, 4, 2, 3), (6, 5, 1, 4, 3, 2), (6, 5, 2, 1, 3, 4), (6, 5, 2, 1, 4, 3), (6, 5, 2, 3, 1, 4), (6, 5, 2, 3, 4, 1), (6, 5, 2, 4, 1, 3), (6, 5, 2, 4, 3, 1), (6, 5, 3, 1, 2, 4), (6, 5, 3, 1, 4, 2), (6, 5, 3, 2, 1, 4), (6, 5, 3, 2, 4, 1), (6, 5, 3, 4, 1, 2), (6, 5, 3, 4, 2, 1), (6, 5, 4, 1, 2, 3), (6, 5, 4, 1, 3, 2), (6, 5, 4, 2, 1, 3), (6, 5, 4, 2, 3, 1), (6, 5, 4, 3, 1, 2), (6, 5, 4, 3, 2, 1)]
len(permSe)
Koliko ima različitih uređenih šestorki čije su komponente znamenke $0,1,2,\dotsc,9$ i koje imaju:
%time
rj=list(filter(lambda x: x.count(1)==2 and x.count(2)==2 and len(set(x))==4, it.product(range(10),repeat=6)))
len(rj)
CPU times: user 2 µs, sys: 1e+03 ns, total: 3 µs Wall time: 6.2 µs
prvih 200 takvih uređenih šestorki
DSTG.ispis(rj[:200],80)
[(0, 1, 1, 2, 2, 3), (0, 1, 1, 2, 2, 4), (0, 1, 1, 2, 2, 5), (0, 1, 1, 2, 2, 6), (0, 1, 1, 2, 2, 7), (0, 1, 1, 2, 2, 8), (0, 1, 1, 2, 2, 9), (0, 1, 1, 2, 3, 2), (0, 1, 1, 2, 4, 2), (0, 1, 1, 2, 5, 2), (0, 1, 1, 2, 6, 2), (0, 1, 1, 2, 7, 2), (0, 1, 1, 2, 8, 2), (0, 1, 1, 2, 9, 2), (0, 1, 1, 3, 2, 2), (0, 1, 1, 4, 2, 2), (0, 1, 1, 5, 2, 2), (0, 1, 1, 6, 2, 2), (0, 1, 1, 7, 2, 2), (0, 1, 1, 8, 2, 2), (0, 1, 1, 9, 2, 2), (0, 1, 2, 1, 2, 3), (0, 1, 2, 1, 2, 4), (0, 1, 2, 1, 2, 5), (0, 1, 2, 1, 2, 6), (0, 1, 2, 1, 2, 7), (0, 1, 2, 1, 2, 8), (0, 1, 2, 1, 2, 9), (0, 1, 2, 1, 3, 2), (0, 1, 2, 1, 4, 2), (0, 1, 2, 1, 5, 2), (0, 1, 2, 1, 6, 2), (0, 1, 2, 1, 7, 2), (0, 1, 2, 1, 8, 2), (0, 1, 2, 1, 9, 2), (0, 1, 2, 2, 1, 3), (0, 1, 2, 2, 1, 4), (0, 1, 2, 2, 1, 5), (0, 1, 2, 2, 1, 6), (0, 1, 2, 2, 1, 7), (0, 1, 2, 2, 1, 8), (0, 1, 2, 2, 1, 9), (0, 1, 2, 2, 3, 1), (0, 1, 2, 2, 4, 1), (0, 1, 2, 2, 5, 1), (0, 1, 2, 2, 6, 1), (0, 1, 2, 2, 7, 1), (0, 1, 2, 2, 8, 1), (0, 1, 2, 2, 9, 1), (0, 1, 2, 3, 1, 2), (0, 1, 2, 3, 2, 1), (0, 1, 2, 4, 1, 2), (0, 1, 2, 4, 2, 1), (0, 1, 2, 5, 1, 2), (0, 1, 2, 5, 2, 1), (0, 1, 2, 6, 1, 2), (0, 1, 2, 6, 2, 1), (0, 1, 2, 7, 1, 2), (0, 1, 2, 7, 2, 1), (0, 1, 2, 8, 1, 2), (0, 1, 2, 8, 2, 1), (0, 1, 2, 9, 1, 2), (0, 1, 2, 9, 2, 1), (0, 1, 3, 1, 2, 2), (0, 1, 3, 2, 1, 2), (0, 1, 3, 2, 2, 1), (0, 1, 4, 1, 2, 2), (0, 1, 4, 2, 1, 2), (0, 1, 4, 2, 2, 1), (0, 1, 5, 1, 2, 2), (0, 1, 5, 2, 1, 2), (0, 1, 5, 2, 2, 1), (0, 1, 6, 1, 2, 2), (0, 1, 6, 2, 1, 2), (0, 1, 6, 2, 2, 1), (0, 1, 7, 1, 2, 2), (0, 1, 7, 2, 1, 2), (0, 1, 7, 2, 2, 1), (0, 1, 8, 1, 2, 2), (0, 1, 8, 2, 1, 2), (0, 1, 8, 2, 2, 1), (0, 1, 9, 1, 2, 2), (0, 1, 9, 2, 1, 2), (0, 1, 9, 2, 2, 1), (0, 2, 1, 1, 2, 3), (0, 2, 1, 1, 2, 4), (0, 2, 1, 1, 2, 5), (0, 2, 1, 1, 2, 6), (0, 2, 1, 1, 2, 7), (0, 2, 1, 1, 2, 8), (0, 2, 1, 1, 2, 9), (0, 2, 1, 1, 3, 2), (0, 2, 1, 1, 4, 2), (0, 2, 1, 1, 5, 2), (0, 2, 1, 1, 6, 2), (0, 2, 1, 1, 7, 2), (0, 2, 1, 1, 8, 2), (0, 2, 1, 1, 9, 2), (0, 2, 1, 2, 1, 3), (0, 2, 1, 2, 1, 4), (0, 2, 1, 2, 1, 5), (0, 2, 1, 2, 1, 6), (0, 2, 1, 2, 1, 7), (0, 2, 1, 2, 1, 8), (0, 2, 1, 2, 1, 9), (0, 2, 1, 2, 3, 1), (0, 2, 1, 2, 4, 1), (0, 2, 1, 2, 5, 1), (0, 2, 1, 2, 6, 1), (0, 2, 1, 2, 7, 1), (0, 2, 1, 2, 8, 1), (0, 2, 1, 2, 9, 1), (0, 2, 1, 3, 1, 2), (0, 2, 1, 3, 2, 1), (0, 2, 1, 4, 1, 2), (0, 2, 1, 4, 2, 1), (0, 2, 1, 5, 1, 2), (0, 2, 1, 5, 2, 1), (0, 2, 1, 6, 1, 2), (0, 2, 1, 6, 2, 1), (0, 2, 1, 7, 1, 2), (0, 2, 1, 7, 2, 1), (0, 2, 1, 8, 1, 2), (0, 2, 1, 8, 2, 1), (0, 2, 1, 9, 1, 2), (0, 2, 1, 9, 2, 1), (0, 2, 2, 1, 1, 3), (0, 2, 2, 1, 1, 4), (0, 2, 2, 1, 1, 5), (0, 2, 2, 1, 1, 6), (0, 2, 2, 1, 1, 7), (0, 2, 2, 1, 1, 8), (0, 2, 2, 1, 1, 9), (0, 2, 2, 1, 3, 1), (0, 2, 2, 1, 4, 1), (0, 2, 2, 1, 5, 1), (0, 2, 2, 1, 6, 1), (0, 2, 2, 1, 7, 1), (0, 2, 2, 1, 8, 1), (0, 2, 2, 1, 9, 1), (0, 2, 2, 3, 1, 1), (0, 2, 2, 4, 1, 1), (0, 2, 2, 5, 1, 1), (0, 2, 2, 6, 1, 1), (0, 2, 2, 7, 1, 1), (0, 2, 2, 8, 1, 1), (0, 2, 2, 9, 1, 1), (0, 2, 3, 1, 1, 2), (0, 2, 3, 1, 2, 1), (0, 2, 3, 2, 1, 1), (0, 2, 4, 1, 1, 2), (0, 2, 4, 1, 2, 1), (0, 2, 4, 2, 1, 1), (0, 2, 5, 1, 1, 2), (0, 2, 5, 1, 2, 1), (0, 2, 5, 2, 1, 1), (0, 2, 6, 1, 1, 2), (0, 2, 6, 1, 2, 1), (0, 2, 6, 2, 1, 1), (0, 2, 7, 1, 1, 2), (0, 2, 7, 1, 2, 1), (0, 2, 7, 2, 1, 1), (0, 2, 8, 1, 1, 2), (0, 2, 8, 1, 2, 1), (0, 2, 8, 2, 1, 1), (0, 2, 9, 1, 1, 2), (0, 2, 9, 1, 2, 1), (0, 2, 9, 2, 1, 1), (0, 3, 1, 1, 2, 2), (0, 3, 1, 2, 1, 2), (0, 3, 1, 2, 2, 1), (0, 3, 2, 1, 1, 2), (0, 3, 2, 1, 2, 1), (0, 3, 2, 2, 1, 1), (0, 4, 1, 1, 2, 2), (0, 4, 1, 2, 1, 2), (0, 4, 1, 2, 2, 1), (0, 4, 2, 1, 1, 2), (0, 4, 2, 1, 2, 1), (0, 4, 2, 2, 1, 1), (0, 5, 1, 1, 2, 2), (0, 5, 1, 2, 1, 2), (0, 5, 1, 2, 2, 1), (0, 5, 2, 1, 1, 2), (0, 5, 2, 1, 2, 1), (0, 5, 2, 2, 1, 1), (0, 6, 1, 1, 2, 2), (0, 6, 1, 2, 1, 2), (0, 6, 1, 2, 2, 1), (0, 6, 2, 1, 1, 2), (0, 6, 2, 1, 2, 1), (0, 6, 2, 2, 1, 1), (0, 7, 1, 1, 2, 2), (0, 7, 1, 2, 1, 2), (0, 7, 1, 2, 2, 1), (0, 7, 2, 1, 1, 2), (0, 7, 2, 1, 2, 1), (0, 7, 2, 2, 1, 1), (0, 8, 1, 1, 2, 2), (0, 8, 1, 2, 1, 2)]
spremanje svih takvih uređenih šestorki u datoteku
dat=open('zad6a','w')
brojac=0
for x in rj:
brojac+=1
dat.write("%s, " % str(x))
if brojac%8==0:
dat.write(" \n")
dat.close()
%time
rjb=list(filter(lambda x: x.count(x[0])==5 or x.count(x[1])==5, it.product(range(10),repeat=6)))
len(rjb)
CPU times: user 3 µs, sys: 1e+03 ns, total: 4 µs Wall time: 5.72 µs
DSTG.ispis(rjb,80)
[(0, 0, 0, 0, 0, 1), (0, 0, 0, 0, 0, 2), (0, 0, 0, 0, 0, 3), (0, 0, 0, 0, 0, 4), (0, 0, 0, 0, 0, 5), (0, 0, 0, 0, 0, 6), (0, 0, 0, 0, 0, 7), (0, 0, 0, 0, 0, 8), (0, 0, 0, 0, 0, 9), (0, 0, 0, 0, 1, 0), (0, 0, 0, 0, 2, 0), (0, 0, 0, 0, 3, 0), (0, 0, 0, 0, 4, 0), (0, 0, 0, 0, 5, 0), (0, 0, 0, 0, 6, 0), (0, 0, 0, 0, 7, 0), (0, 0, 0, 0, 8, 0), (0, 0, 0, 0, 9, 0), (0, 0, 0, 1, 0, 0), (0, 0, 0, 2, 0, 0), (0, 0, 0, 3, 0, 0), (0, 0, 0, 4, 0, 0), (0, 0, 0, 5, 0, 0), (0, 0, 0, 6, 0, 0), (0, 0, 0, 7, 0, 0), (0, 0, 0, 8, 0, 0), (0, 0, 0, 9, 0, 0), (0, 0, 1, 0, 0, 0), (0, 0, 2, 0, 0, 0), (0, 0, 3, 0, 0, 0), (0, 0, 4, 0, 0, 0), (0, 0, 5, 0, 0, 0), (0, 0, 6, 0, 0, 0), (0, 0, 7, 0, 0, 0), (0, 0, 8, 0, 0, 0), (0, 0, 9, 0, 0, 0), (0, 1, 0, 0, 0, 0), (0, 1, 1, 1, 1, 1), (0, 2, 0, 0, 0, 0), (0, 2, 2, 2, 2, 2), (0, 3, 0, 0, 0, 0), (0, 3, 3, 3, 3, 3), (0, 4, 0, 0, 0, 0), (0, 4, 4, 4, 4, 4), (0, 5, 0, 0, 0, 0), (0, 5, 5, 5, 5, 5), (0, 6, 0, 0, 0, 0), (0, 6, 6, 6, 6, 6), (0, 7, 0, 0, 0, 0), (0, 7, 7, 7, 7, 7), (0, 8, 0, 0, 0, 0), (0, 8, 8, 8, 8, 8), (0, 9, 0, 0, 0, 0), (0, 9, 9, 9, 9, 9), (1, 0, 0, 0, 0, 0), (1, 0, 1, 1, 1, 1), (1, 1, 0, 1, 1, 1), (1, 1, 1, 0, 1, 1), (1, 1, 1, 1, 0, 1), (1, 1, 1, 1, 1, 0), (1, 1, 1, 1, 1, 2), (1, 1, 1, 1, 1, 3), (1, 1, 1, 1, 1, 4), (1, 1, 1, 1, 1, 5), (1, 1, 1, 1, 1, 6), (1, 1, 1, 1, 1, 7), (1, 1, 1, 1, 1, 8), (1, 1, 1, 1, 1, 9), (1, 1, 1, 1, 2, 1), (1, 1, 1, 1, 3, 1), (1, 1, 1, 1, 4, 1), (1, 1, 1, 1, 5, 1), (1, 1, 1, 1, 6, 1), (1, 1, 1, 1, 7, 1), (1, 1, 1, 1, 8, 1), (1, 1, 1, 1, 9, 1), (1, 1, 1, 2, 1, 1), (1, 1, 1, 3, 1, 1), (1, 1, 1, 4, 1, 1), (1, 1, 1, 5, 1, 1), (1, 1, 1, 6, 1, 1), (1, 1, 1, 7, 1, 1), (1, 1, 1, 8, 1, 1), (1, 1, 1, 9, 1, 1), (1, 1, 2, 1, 1, 1), (1, 1, 3, 1, 1, 1), (1, 1, 4, 1, 1, 1), (1, 1, 5, 1, 1, 1), (1, 1, 6, 1, 1, 1), (1, 1, 7, 1, 1, 1), (1, 1, 8, 1, 1, 1), (1, 1, 9, 1, 1, 1), (1, 2, 1, 1, 1, 1), (1, 2, 2, 2, 2, 2), (1, 3, 1, 1, 1, 1), (1, 3, 3, 3, 3, 3), (1, 4, 1, 1, 1, 1), (1, 4, 4, 4, 4, 4), (1, 5, 1, 1, 1, 1), (1, 5, 5, 5, 5, 5), (1, 6, 1, 1, 1, 1), (1, 6, 6, 6, 6, 6), (1, 7, 1, 1, 1, 1), (1, 7, 7, 7, 7, 7), (1, 8, 1, 1, 1, 1), (1, 8, 8, 8, 8, 8), (1, 9, 1, 1, 1, 1), (1, 9, 9, 9, 9, 9), (2, 0, 0, 0, 0, 0), (2, 0, 2, 2, 2, 2), (2, 1, 1, 1, 1, 1), (2, 1, 2, 2, 2, 2), (2, 2, 0, 2, 2, 2), (2, 2, 1, 2, 2, 2), (2, 2, 2, 0, 2, 2), (2, 2, 2, 1, 2, 2), (2, 2, 2, 2, 0, 2), (2, 2, 2, 2, 1, 2), (2, 2, 2, 2, 2, 0), (2, 2, 2, 2, 2, 1), (2, 2, 2, 2, 2, 3), (2, 2, 2, 2, 2, 4), (2, 2, 2, 2, 2, 5), (2, 2, 2, 2, 2, 6), (2, 2, 2, 2, 2, 7), (2, 2, 2, 2, 2, 8), (2, 2, 2, 2, 2, 9), (2, 2, 2, 2, 3, 2), (2, 2, 2, 2, 4, 2), (2, 2, 2, 2, 5, 2), (2, 2, 2, 2, 6, 2), (2, 2, 2, 2, 7, 2), (2, 2, 2, 2, 8, 2), (2, 2, 2, 2, 9, 2), (2, 2, 2, 3, 2, 2), (2, 2, 2, 4, 2, 2), (2, 2, 2, 5, 2, 2), (2, 2, 2, 6, 2, 2), (2, 2, 2, 7, 2, 2), (2, 2, 2, 8, 2, 2), (2, 2, 2, 9, 2, 2), (2, 2, 3, 2, 2, 2), (2, 2, 4, 2, 2, 2), (2, 2, 5, 2, 2, 2), (2, 2, 6, 2, 2, 2), (2, 2, 7, 2, 2, 2), (2, 2, 8, 2, 2, 2), (2, 2, 9, 2, 2, 2), (2, 3, 2, 2, 2, 2), (2, 3, 3, 3, 3, 3), (2, 4, 2, 2, 2, 2), (2, 4, 4, 4, 4, 4), (2, 5, 2, 2, 2, 2), (2, 5, 5, 5, 5, 5), (2, 6, 2, 2, 2, 2), (2, 6, 6, 6, 6, 6), (2, 7, 2, 2, 2, 2), (2, 7, 7, 7, 7, 7), (2, 8, 2, 2, 2, 2), (2, 8, 8, 8, 8, 8), (2, 9, 2, 2, 2, 2), (2, 9, 9, 9, 9, 9), (3, 0, 0, 0, 0, 0), (3, 0, 3, 3, 3, 3), (3, 1, 1, 1, 1, 1), (3, 1, 3, 3, 3, 3), (3, 2, 2, 2, 2, 2), (3, 2, 3, 3, 3, 3), (3, 3, 0, 3, 3, 3), (3, 3, 1, 3, 3, 3), (3, 3, 2, 3, 3, 3), (3, 3, 3, 0, 3, 3), (3, 3, 3, 1, 3, 3), (3, 3, 3, 2, 3, 3), (3, 3, 3, 3, 0, 3), (3, 3, 3, 3, 1, 3), (3, 3, 3, 3, 2, 3), (3, 3, 3, 3, 3, 0), (3, 3, 3, 3, 3, 1), (3, 3, 3, 3, 3, 2), (3, 3, 3, 3, 3, 4), (3, 3, 3, 3, 3, 5), (3, 3, 3, 3, 3, 6), (3, 3, 3, 3, 3, 7), (3, 3, 3, 3, 3, 8), (3, 3, 3, 3, 3, 9), (3, 3, 3, 3, 4, 3), (3, 3, 3, 3, 5, 3), (3, 3, 3, 3, 6, 3), (3, 3, 3, 3, 7, 3), (3, 3, 3, 3, 8, 3), (3, 3, 3, 3, 9, 3), (3, 3, 3, 4, 3, 3), (3, 3, 3, 5, 3, 3), (3, 3, 3, 6, 3, 3), (3, 3, 3, 7, 3, 3), (3, 3, 3, 8, 3, 3), (3, 3, 3, 9, 3, 3), (3, 3, 4, 3, 3, 3), (3, 3, 5, 3, 3, 3), (3, 3, 6, 3, 3, 3), (3, 3, 7, 3, 3, 3), (3, 3, 8, 3, 3, 3), (3, 3, 9, 3, 3, 3), (3, 4, 3, 3, 3, 3), (3, 4, 4, 4, 4, 4), (3, 5, 3, 3, 3, 3), (3, 5, 5, 5, 5, 5), (3, 6, 3, 3, 3, 3), (3, 6, 6, 6, 6, 6), (3, 7, 3, 3, 3, 3), (3, 7, 7, 7, 7, 7), (3, 8, 3, 3, 3, 3), (3, 8, 8, 8, 8, 8), (3, 9, 3, 3, 3, 3), (3, 9, 9, 9, 9, 9), (4, 0, 0, 0, 0, 0), (4, 0, 4, 4, 4, 4), (4, 1, 1, 1, 1, 1), (4, 1, 4, 4, 4, 4), (4, 2, 2, 2, 2, 2), (4, 2, 4, 4, 4, 4), (4, 3, 3, 3, 3, 3), (4, 3, 4, 4, 4, 4), (4, 4, 0, 4, 4, 4), (4, 4, 1, 4, 4, 4), (4, 4, 2, 4, 4, 4), (4, 4, 3, 4, 4, 4), (4, 4, 4, 0, 4, 4), (4, 4, 4, 1, 4, 4), (4, 4, 4, 2, 4, 4), (4, 4, 4, 3, 4, 4), (4, 4, 4, 4, 0, 4), (4, 4, 4, 4, 1, 4), (4, 4, 4, 4, 2, 4), (4, 4, 4, 4, 3, 4), (4, 4, 4, 4, 4, 0), (4, 4, 4, 4, 4, 1), (4, 4, 4, 4, 4, 2), (4, 4, 4, 4, 4, 3), (4, 4, 4, 4, 4, 5), (4, 4, 4, 4, 4, 6), (4, 4, 4, 4, 4, 7), (4, 4, 4, 4, 4, 8), (4, 4, 4, 4, 4, 9), (4, 4, 4, 4, 5, 4), (4, 4, 4, 4, 6, 4), (4, 4, 4, 4, 7, 4), (4, 4, 4, 4, 8, 4), (4, 4, 4, 4, 9, 4), (4, 4, 4, 5, 4, 4), (4, 4, 4, 6, 4, 4), (4, 4, 4, 7, 4, 4), (4, 4, 4, 8, 4, 4), (4, 4, 4, 9, 4, 4), (4, 4, 5, 4, 4, 4), (4, 4, 6, 4, 4, 4), (4, 4, 7, 4, 4, 4), (4, 4, 8, 4, 4, 4), (4, 4, 9, 4, 4, 4), (4, 5, 4, 4, 4, 4), (4, 5, 5, 5, 5, 5), (4, 6, 4, 4, 4, 4), (4, 6, 6, 6, 6, 6), (4, 7, 4, 4, 4, 4), (4, 7, 7, 7, 7, 7), (4, 8, 4, 4, 4, 4), (4, 8, 8, 8, 8, 8), (4, 9, 4, 4, 4, 4), (4, 9, 9, 9, 9, 9), (5, 0, 0, 0, 0, 0), (5, 0, 5, 5, 5, 5), (5, 1, 1, 1, 1, 1), (5, 1, 5, 5, 5, 5), (5, 2, 2, 2, 2, 2), (5, 2, 5, 5, 5, 5), (5, 3, 3, 3, 3, 3), (5, 3, 5, 5, 5, 5), (5, 4, 4, 4, 4, 4), (5, 4, 5, 5, 5, 5), (5, 5, 0, 5, 5, 5), (5, 5, 1, 5, 5, 5), (5, 5, 2, 5, 5, 5), (5, 5, 3, 5, 5, 5), (5, 5, 4, 5, 5, 5), (5, 5, 5, 0, 5, 5), (5, 5, 5, 1, 5, 5), (5, 5, 5, 2, 5, 5), (5, 5, 5, 3, 5, 5), (5, 5, 5, 4, 5, 5), (5, 5, 5, 5, 0, 5), (5, 5, 5, 5, 1, 5), (5, 5, 5, 5, 2, 5), (5, 5, 5, 5, 3, 5), (5, 5, 5, 5, 4, 5), (5, 5, 5, 5, 5, 0), (5, 5, 5, 5, 5, 1), (5, 5, 5, 5, 5, 2), (5, 5, 5, 5, 5, 3), (5, 5, 5, 5, 5, 4), (5, 5, 5, 5, 5, 6), (5, 5, 5, 5, 5, 7), (5, 5, 5, 5, 5, 8), (5, 5, 5, 5, 5, 9), (5, 5, 5, 5, 6, 5), (5, 5, 5, 5, 7, 5), (5, 5, 5, 5, 8, 5), (5, 5, 5, 5, 9, 5), (5, 5, 5, 6, 5, 5), (5, 5, 5, 7, 5, 5), (5, 5, 5, 8, 5, 5), (5, 5, 5, 9, 5, 5), (5, 5, 6, 5, 5, 5), (5, 5, 7, 5, 5, 5), (5, 5, 8, 5, 5, 5), (5, 5, 9, 5, 5, 5), (5, 6, 5, 5, 5, 5), (5, 6, 6, 6, 6, 6), (5, 7, 5, 5, 5, 5), (5, 7, 7, 7, 7, 7), (5, 8, 5, 5, 5, 5), (5, 8, 8, 8, 8, 8), (5, 9, 5, 5, 5, 5), (5, 9, 9, 9, 9, 9), (6, 0, 0, 0, 0, 0), (6, 0, 6, 6, 6, 6), (6, 1, 1, 1, 1, 1), (6, 1, 6, 6, 6, 6), (6, 2, 2, 2, 2, 2), (6, 2, 6, 6, 6, 6), (6, 3, 3, 3, 3, 3), (6, 3, 6, 6, 6, 6), (6, 4, 4, 4, 4, 4), (6, 4, 6, 6, 6, 6), (6, 5, 5, 5, 5, 5), (6, 5, 6, 6, 6, 6), (6, 6, 0, 6, 6, 6), (6, 6, 1, 6, 6, 6), (6, 6, 2, 6, 6, 6), (6, 6, 3, 6, 6, 6), (6, 6, 4, 6, 6, 6), (6, 6, 5, 6, 6, 6), (6, 6, 6, 0, 6, 6), (6, 6, 6, 1, 6, 6), (6, 6, 6, 2, 6, 6), (6, 6, 6, 3, 6, 6), (6, 6, 6, 4, 6, 6), (6, 6, 6, 5, 6, 6), (6, 6, 6, 6, 0, 6), (6, 6, 6, 6, 1, 6), (6, 6, 6, 6, 2, 6), (6, 6, 6, 6, 3, 6), (6, 6, 6, 6, 4, 6), (6, 6, 6, 6, 5, 6), (6, 6, 6, 6, 6, 0), (6, 6, 6, 6, 6, 1), (6, 6, 6, 6, 6, 2), (6, 6, 6, 6, 6, 3), (6, 6, 6, 6, 6, 4), (6, 6, 6, 6, 6, 5), (6, 6, 6, 6, 6, 7), (6, 6, 6, 6, 6, 8), (6, 6, 6, 6, 6, 9), (6, 6, 6, 6, 7, 6), (6, 6, 6, 6, 8, 6), (6, 6, 6, 6, 9, 6), (6, 6, 6, 7, 6, 6), (6, 6, 6, 8, 6, 6), (6, 6, 6, 9, 6, 6), (6, 6, 7, 6, 6, 6), (6, 6, 8, 6, 6, 6), (6, 6, 9, 6, 6, 6), (6, 7, 6, 6, 6, 6), (6, 7, 7, 7, 7, 7), (6, 8, 6, 6, 6, 6), (6, 8, 8, 8, 8, 8), (6, 9, 6, 6, 6, 6), (6, 9, 9, 9, 9, 9), (7, 0, 0, 0, 0, 0), (7, 0, 7, 7, 7, 7), (7, 1, 1, 1, 1, 1), (7, 1, 7, 7, 7, 7), (7, 2, 2, 2, 2, 2), (7, 2, 7, 7, 7, 7), (7, 3, 3, 3, 3, 3), (7, 3, 7, 7, 7, 7), (7, 4, 4, 4, 4, 4), (7, 4, 7, 7, 7, 7), (7, 5, 5, 5, 5, 5), (7, 5, 7, 7, 7, 7), (7, 6, 6, 6, 6, 6), (7, 6, 7, 7, 7, 7), (7, 7, 0, 7, 7, 7), (7, 7, 1, 7, 7, 7), (7, 7, 2, 7, 7, 7), (7, 7, 3, 7, 7, 7), (7, 7, 4, 7, 7, 7), (7, 7, 5, 7, 7, 7), (7, 7, 6, 7, 7, 7), (7, 7, 7, 0, 7, 7), (7, 7, 7, 1, 7, 7), (7, 7, 7, 2, 7, 7), (7, 7, 7, 3, 7, 7), (7, 7, 7, 4, 7, 7), (7, 7, 7, 5, 7, 7), (7, 7, 7, 6, 7, 7), (7, 7, 7, 7, 0, 7), (7, 7, 7, 7, 1, 7), (7, 7, 7, 7, 2, 7), (7, 7, 7, 7, 3, 7), (7, 7, 7, 7, 4, 7), (7, 7, 7, 7, 5, 7), (7, 7, 7, 7, 6, 7), (7, 7, 7, 7, 7, 0), (7, 7, 7, 7, 7, 1), (7, 7, 7, 7, 7, 2), (7, 7, 7, 7, 7, 3), (7, 7, 7, 7, 7, 4), (7, 7, 7, 7, 7, 5), (7, 7, 7, 7, 7, 6), (7, 7, 7, 7, 7, 8), (7, 7, 7, 7, 7, 9), (7, 7, 7, 7, 8, 7), (7, 7, 7, 7, 9, 7), (7, 7, 7, 8, 7, 7), (7, 7, 7, 9, 7, 7), (7, 7, 8, 7, 7, 7), (7, 7, 9, 7, 7, 7), (7, 8, 7, 7, 7, 7), (7, 8, 8, 8, 8, 8), (7, 9, 7, 7, 7, 7), (7, 9, 9, 9, 9, 9), (8, 0, 0, 0, 0, 0), (8, 0, 8, 8, 8, 8), (8, 1, 1, 1, 1, 1), (8, 1, 8, 8, 8, 8), (8, 2, 2, 2, 2, 2), (8, 2, 8, 8, 8, 8), (8, 3, 3, 3, 3, 3), (8, 3, 8, 8, 8, 8), (8, 4, 4, 4, 4, 4), (8, 4, 8, 8, 8, 8), (8, 5, 5, 5, 5, 5), (8, 5, 8, 8, 8, 8), (8, 6, 6, 6, 6, 6), (8, 6, 8, 8, 8, 8), (8, 7, 7, 7, 7, 7), (8, 7, 8, 8, 8, 8), (8, 8, 0, 8, 8, 8), (8, 8, 1, 8, 8, 8), (8, 8, 2, 8, 8, 8), (8, 8, 3, 8, 8, 8), (8, 8, 4, 8, 8, 8), (8, 8, 5, 8, 8, 8), (8, 8, 6, 8, 8, 8), (8, 8, 7, 8, 8, 8), (8, 8, 8, 0, 8, 8), (8, 8, 8, 1, 8, 8), (8, 8, 8, 2, 8, 8), (8, 8, 8, 3, 8, 8), (8, 8, 8, 4, 8, 8), (8, 8, 8, 5, 8, 8), (8, 8, 8, 6, 8, 8), (8, 8, 8, 7, 8, 8), (8, 8, 8, 8, 0, 8), (8, 8, 8, 8, 1, 8), (8, 8, 8, 8, 2, 8), (8, 8, 8, 8, 3, 8), (8, 8, 8, 8, 4, 8), (8, 8, 8, 8, 5, 8), (8, 8, 8, 8, 6, 8), (8, 8, 8, 8, 7, 8), (8, 8, 8, 8, 8, 0), (8, 8, 8, 8, 8, 1), (8, 8, 8, 8, 8, 2), (8, 8, 8, 8, 8, 3), (8, 8, 8, 8, 8, 4), (8, 8, 8, 8, 8, 5), (8, 8, 8, 8, 8, 6), (8, 8, 8, 8, 8, 7), (8, 8, 8, 8, 8, 9), (8, 8, 8, 8, 9, 8), (8, 8, 8, 9, 8, 8), (8, 8, 9, 8, 8, 8), (8, 9, 8, 8, 8, 8), (8, 9, 9, 9, 9, 9), (9, 0, 0, 0, 0, 0), (9, 0, 9, 9, 9, 9), (9, 1, 1, 1, 1, 1), (9, 1, 9, 9, 9, 9), (9, 2, 2, 2, 2, 2), (9, 2, 9, 9, 9, 9), (9, 3, 3, 3, 3, 3), (9, 3, 9, 9, 9, 9), (9, 4, 4, 4, 4, 4), (9, 4, 9, 9, 9, 9), (9, 5, 5, 5, 5, 5), (9, 5, 9, 9, 9, 9), (9, 6, 6, 6, 6, 6), (9, 6, 9, 9, 9, 9), (9, 7, 7, 7, 7, 7), (9, 7, 9, 9, 9, 9), (9, 8, 8, 8, 8, 8), (9, 8, 9, 9, 9, 9), (9, 9, 0, 9, 9, 9), (9, 9, 1, 9, 9, 9), (9, 9, 2, 9, 9, 9), (9, 9, 3, 9, 9, 9), (9, 9, 4, 9, 9, 9), (9, 9, 5, 9, 9, 9), (9, 9, 6, 9, 9, 9), (9, 9, 7, 9, 9, 9), (9, 9, 8, 9, 9, 9), (9, 9, 9, 0, 9, 9), (9, 9, 9, 1, 9, 9), (9, 9, 9, 2, 9, 9), (9, 9, 9, 3, 9, 9), (9, 9, 9, 4, 9, 9), (9, 9, 9, 5, 9, 9), (9, 9, 9, 6, 9, 9), (9, 9, 9, 7, 9, 9), (9, 9, 9, 8, 9, 9), (9, 9, 9, 9, 0, 9), (9, 9, 9, 9, 1, 9), (9, 9, 9, 9, 2, 9), (9, 9, 9, 9, 3, 9), (9, 9, 9, 9, 4, 9), (9, 9, 9, 9, 5, 9), (9, 9, 9, 9, 6, 9), (9, 9, 9, 9, 7, 9), (9, 9, 9, 9, 8, 9), (9, 9, 9, 9, 9, 0), (9, 9, 9, 9, 9, 1), (9, 9, 9, 9, 9, 2), (9, 9, 9, 9, 9, 3), (9, 9, 9, 9, 9, 4), (9, 9, 9, 9, 9, 5), (9, 9, 9, 9, 9, 6), (9, 9, 9, 9, 9, 7), (9, 9, 9, 9, 9, 8)]
%time
rjc=list(filter(lambda x: x.count(x[0])==2 and x.count(x[1])==2 and x.count(x[2])==2 and x.count(x[3])==2 and
x.count(x[4])==2 and x.count(x[5])==2, it.product(range(10),repeat=6)))
len(rjc)
CPU times: user 2 µs, sys: 0 ns, total: 2 µs Wall time: 4.05 µs
prvih 200 takvih uređenih šestorki
DSTG.ispis(rjc[:200],80)
[(0, 0, 1, 1, 2, 2), (0, 0, 1, 1, 3, 3), (0, 0, 1, 1, 4, 4), (0, 0, 1, 1, 5, 5), (0, 0, 1, 1, 6, 6), (0, 0, 1, 1, 7, 7), (0, 0, 1, 1, 8, 8), (0, 0, 1, 1, 9, 9), (0, 0, 1, 2, 1, 2), (0, 0, 1, 2, 2, 1), (0, 0, 1, 3, 1, 3), (0, 0, 1, 3, 3, 1), (0, 0, 1, 4, 1, 4), (0, 0, 1, 4, 4, 1), (0, 0, 1, 5, 1, 5), (0, 0, 1, 5, 5, 1), (0, 0, 1, 6, 1, 6), (0, 0, 1, 6, 6, 1), (0, 0, 1, 7, 1, 7), (0, 0, 1, 7, 7, 1), (0, 0, 1, 8, 1, 8), (0, 0, 1, 8, 8, 1), (0, 0, 1, 9, 1, 9), (0, 0, 1, 9, 9, 1), (0, 0, 2, 1, 1, 2), (0, 0, 2, 1, 2, 1), (0, 0, 2, 2, 1, 1), (0, 0, 2, 2, 3, 3), (0, 0, 2, 2, 4, 4), (0, 0, 2, 2, 5, 5), (0, 0, 2, 2, 6, 6), (0, 0, 2, 2, 7, 7), (0, 0, 2, 2, 8, 8), (0, 0, 2, 2, 9, 9), (0, 0, 2, 3, 2, 3), (0, 0, 2, 3, 3, 2), (0, 0, 2, 4, 2, 4), (0, 0, 2, 4, 4, 2), (0, 0, 2, 5, 2, 5), (0, 0, 2, 5, 5, 2), (0, 0, 2, 6, 2, 6), (0, 0, 2, 6, 6, 2), (0, 0, 2, 7, 2, 7), (0, 0, 2, 7, 7, 2), (0, 0, 2, 8, 2, 8), (0, 0, 2, 8, 8, 2), (0, 0, 2, 9, 2, 9), (0, 0, 2, 9, 9, 2), (0, 0, 3, 1, 1, 3), (0, 0, 3, 1, 3, 1), (0, 0, 3, 2, 2, 3), (0, 0, 3, 2, 3, 2), (0, 0, 3, 3, 1, 1), (0, 0, 3, 3, 2, 2), (0, 0, 3, 3, 4, 4), (0, 0, 3, 3, 5, 5), (0, 0, 3, 3, 6, 6), (0, 0, 3, 3, 7, 7), (0, 0, 3, 3, 8, 8), (0, 0, 3, 3, 9, 9), (0, 0, 3, 4, 3, 4), (0, 0, 3, 4, 4, 3), (0, 0, 3, 5, 3, 5), (0, 0, 3, 5, 5, 3), (0, 0, 3, 6, 3, 6), (0, 0, 3, 6, 6, 3), (0, 0, 3, 7, 3, 7), (0, 0, 3, 7, 7, 3), (0, 0, 3, 8, 3, 8), (0, 0, 3, 8, 8, 3), (0, 0, 3, 9, 3, 9), (0, 0, 3, 9, 9, 3), (0, 0, 4, 1, 1, 4), (0, 0, 4, 1, 4, 1), (0, 0, 4, 2, 2, 4), (0, 0, 4, 2, 4, 2), (0, 0, 4, 3, 3, 4), (0, 0, 4, 3, 4, 3), (0, 0, 4, 4, 1, 1), (0, 0, 4, 4, 2, 2), (0, 0, 4, 4, 3, 3), (0, 0, 4, 4, 5, 5), (0, 0, 4, 4, 6, 6), (0, 0, 4, 4, 7, 7), (0, 0, 4, 4, 8, 8), (0, 0, 4, 4, 9, 9), (0, 0, 4, 5, 4, 5), (0, 0, 4, 5, 5, 4), (0, 0, 4, 6, 4, 6), (0, 0, 4, 6, 6, 4), (0, 0, 4, 7, 4, 7), (0, 0, 4, 7, 7, 4), (0, 0, 4, 8, 4, 8), (0, 0, 4, 8, 8, 4), (0, 0, 4, 9, 4, 9), (0, 0, 4, 9, 9, 4), (0, 0, 5, 1, 1, 5), (0, 0, 5, 1, 5, 1), (0, 0, 5, 2, 2, 5), (0, 0, 5, 2, 5, 2), (0, 0, 5, 3, 3, 5), (0, 0, 5, 3, 5, 3), (0, 0, 5, 4, 4, 5), (0, 0, 5, 4, 5, 4), (0, 0, 5, 5, 1, 1), (0, 0, 5, 5, 2, 2), (0, 0, 5, 5, 3, 3), (0, 0, 5, 5, 4, 4), (0, 0, 5, 5, 6, 6), (0, 0, 5, 5, 7, 7), (0, 0, 5, 5, 8, 8), (0, 0, 5, 5, 9, 9), (0, 0, 5, 6, 5, 6), (0, 0, 5, 6, 6, 5), (0, 0, 5, 7, 5, 7), (0, 0, 5, 7, 7, 5), (0, 0, 5, 8, 5, 8), (0, 0, 5, 8, 8, 5), (0, 0, 5, 9, 5, 9), (0, 0, 5, 9, 9, 5), (0, 0, 6, 1, 1, 6), (0, 0, 6, 1, 6, 1), (0, 0, 6, 2, 2, 6), (0, 0, 6, 2, 6, 2), (0, 0, 6, 3, 3, 6), (0, 0, 6, 3, 6, 3), (0, 0, 6, 4, 4, 6), (0, 0, 6, 4, 6, 4), (0, 0, 6, 5, 5, 6), (0, 0, 6, 5, 6, 5), (0, 0, 6, 6, 1, 1), (0, 0, 6, 6, 2, 2), (0, 0, 6, 6, 3, 3), (0, 0, 6, 6, 4, 4), (0, 0, 6, 6, 5, 5), (0, 0, 6, 6, 7, 7), (0, 0, 6, 6, 8, 8), (0, 0, 6, 6, 9, 9), (0, 0, 6, 7, 6, 7), (0, 0, 6, 7, 7, 6), (0, 0, 6, 8, 6, 8), (0, 0, 6, 8, 8, 6), (0, 0, 6, 9, 6, 9), (0, 0, 6, 9, 9, 6), (0, 0, 7, 1, 1, 7), (0, 0, 7, 1, 7, 1), (0, 0, 7, 2, 2, 7), (0, 0, 7, 2, 7, 2), (0, 0, 7, 3, 3, 7), (0, 0, 7, 3, 7, 3), (0, 0, 7, 4, 4, 7), (0, 0, 7, 4, 7, 4), (0, 0, 7, 5, 5, 7), (0, 0, 7, 5, 7, 5), (0, 0, 7, 6, 6, 7), (0, 0, 7, 6, 7, 6), (0, 0, 7, 7, 1, 1), (0, 0, 7, 7, 2, 2), (0, 0, 7, 7, 3, 3), (0, 0, 7, 7, 4, 4), (0, 0, 7, 7, 5, 5), (0, 0, 7, 7, 6, 6), (0, 0, 7, 7, 8, 8), (0, 0, 7, 7, 9, 9), (0, 0, 7, 8, 7, 8), (0, 0, 7, 8, 8, 7), (0, 0, 7, 9, 7, 9), (0, 0, 7, 9, 9, 7), (0, 0, 8, 1, 1, 8), (0, 0, 8, 1, 8, 1), (0, 0, 8, 2, 2, 8), (0, 0, 8, 2, 8, 2), (0, 0, 8, 3, 3, 8), (0, 0, 8, 3, 8, 3), (0, 0, 8, 4, 4, 8), (0, 0, 8, 4, 8, 4), (0, 0, 8, 5, 5, 8), (0, 0, 8, 5, 8, 5), (0, 0, 8, 6, 6, 8), (0, 0, 8, 6, 8, 6), (0, 0, 8, 7, 7, 8), (0, 0, 8, 7, 8, 7), (0, 0, 8, 8, 1, 1), (0, 0, 8, 8, 2, 2), (0, 0, 8, 8, 3, 3), (0, 0, 8, 8, 4, 4), (0, 0, 8, 8, 5, 5), (0, 0, 8, 8, 6, 6), (0, 0, 8, 8, 7, 7), (0, 0, 8, 8, 9, 9), (0, 0, 8, 9, 8, 9), (0, 0, 8, 9, 9, 8), (0, 0, 9, 1, 1, 9), (0, 0, 9, 1, 9, 1), (0, 0, 9, 2, 2, 9), (0, 0, 9, 2, 9, 2), (0, 0, 9, 3, 3, 9), (0, 0, 9, 3, 9, 3), (0, 0, 9, 4, 4, 9), (0, 0, 9, 4, 9, 4)]
spremanje svih takvih uređenih šestorki u datoteku
dat=open('zad6c','w')
brojac=0
for x in rjc:
brojac+=1
dat.write("%s, " % str(x))
if brojac%8==0:
dat.write(" \n")
dat.close()
%time
rjd=list(filter(lambda x: x[0]==x[-1] and x[1]==x[-2] and x[2]==x[-3], it.product(range(10),repeat=6)))
len(rjd)
CPU times: user 4 µs, sys: 0 ns, total: 4 µs Wall time: 11 µs
DSTG.ispis(rjd,80)
[(0, 0, 0, 0, 0, 0), (0, 0, 1, 1, 0, 0), (0, 0, 2, 2, 0, 0), (0, 0, 3, 3, 0, 0), (0, 0, 4, 4, 0, 0), (0, 0, 5, 5, 0, 0), (0, 0, 6, 6, 0, 0), (0, 0, 7, 7, 0, 0), (0, 0, 8, 8, 0, 0), (0, 0, 9, 9, 0, 0), (0, 1, 0, 0, 1, 0), (0, 1, 1, 1, 1, 0), (0, 1, 2, 2, 1, 0), (0, 1, 3, 3, 1, 0), (0, 1, 4, 4, 1, 0), (0, 1, 5, 5, 1, 0), (0, 1, 6, 6, 1, 0), (0, 1, 7, 7, 1, 0), (0, 1, 8, 8, 1, 0), (0, 1, 9, 9, 1, 0), (0, 2, 0, 0, 2, 0), (0, 2, 1, 1, 2, 0), (0, 2, 2, 2, 2, 0), (0, 2, 3, 3, 2, 0), (0, 2, 4, 4, 2, 0), (0, 2, 5, 5, 2, 0), (0, 2, 6, 6, 2, 0), (0, 2, 7, 7, 2, 0), (0, 2, 8, 8, 2, 0), (0, 2, 9, 9, 2, 0), (0, 3, 0, 0, 3, 0), (0, 3, 1, 1, 3, 0), (0, 3, 2, 2, 3, 0), (0, 3, 3, 3, 3, 0), (0, 3, 4, 4, 3, 0), (0, 3, 5, 5, 3, 0), (0, 3, 6, 6, 3, 0), (0, 3, 7, 7, 3, 0), (0, 3, 8, 8, 3, 0), (0, 3, 9, 9, 3, 0), (0, 4, 0, 0, 4, 0), (0, 4, 1, 1, 4, 0), (0, 4, 2, 2, 4, 0), (0, 4, 3, 3, 4, 0), (0, 4, 4, 4, 4, 0), (0, 4, 5, 5, 4, 0), (0, 4, 6, 6, 4, 0), (0, 4, 7, 7, 4, 0), (0, 4, 8, 8, 4, 0), (0, 4, 9, 9, 4, 0), (0, 5, 0, 0, 5, 0), (0, 5, 1, 1, 5, 0), (0, 5, 2, 2, 5, 0), (0, 5, 3, 3, 5, 0), (0, 5, 4, 4, 5, 0), (0, 5, 5, 5, 5, 0), (0, 5, 6, 6, 5, 0), (0, 5, 7, 7, 5, 0), (0, 5, 8, 8, 5, 0), (0, 5, 9, 9, 5, 0), (0, 6, 0, 0, 6, 0), (0, 6, 1, 1, 6, 0), (0, 6, 2, 2, 6, 0), (0, 6, 3, 3, 6, 0), (0, 6, 4, 4, 6, 0), (0, 6, 5, 5, 6, 0), (0, 6, 6, 6, 6, 0), (0, 6, 7, 7, 6, 0), (0, 6, 8, 8, 6, 0), (0, 6, 9, 9, 6, 0), (0, 7, 0, 0, 7, 0), (0, 7, 1, 1, 7, 0), (0, 7, 2, 2, 7, 0), (0, 7, 3, 3, 7, 0), (0, 7, 4, 4, 7, 0), (0, 7, 5, 5, 7, 0), (0, 7, 6, 6, 7, 0), (0, 7, 7, 7, 7, 0), (0, 7, 8, 8, 7, 0), (0, 7, 9, 9, 7, 0), (0, 8, 0, 0, 8, 0), (0, 8, 1, 1, 8, 0), (0, 8, 2, 2, 8, 0), (0, 8, 3, 3, 8, 0), (0, 8, 4, 4, 8, 0), (0, 8, 5, 5, 8, 0), (0, 8, 6, 6, 8, 0), (0, 8, 7, 7, 8, 0), (0, 8, 8, 8, 8, 0), (0, 8, 9, 9, 8, 0), (0, 9, 0, 0, 9, 0), (0, 9, 1, 1, 9, 0), (0, 9, 2, 2, 9, 0), (0, 9, 3, 3, 9, 0), (0, 9, 4, 4, 9, 0), (0, 9, 5, 5, 9, 0), (0, 9, 6, 6, 9, 0), (0, 9, 7, 7, 9, 0), (0, 9, 8, 8, 9, 0), (0, 9, 9, 9, 9, 0), (1, 0, 0, 0, 0, 1), (1, 0, 1, 1, 0, 1), (1, 0, 2, 2, 0, 1), (1, 0, 3, 3, 0, 1), (1, 0, 4, 4, 0, 1), (1, 0, 5, 5, 0, 1), (1, 0, 6, 6, 0, 1), (1, 0, 7, 7, 0, 1), (1, 0, 8, 8, 0, 1), (1, 0, 9, 9, 0, 1), (1, 1, 0, 0, 1, 1), (1, 1, 1, 1, 1, 1), (1, 1, 2, 2, 1, 1), (1, 1, 3, 3, 1, 1), (1, 1, 4, 4, 1, 1), (1, 1, 5, 5, 1, 1), (1, 1, 6, 6, 1, 1), (1, 1, 7, 7, 1, 1), (1, 1, 8, 8, 1, 1), (1, 1, 9, 9, 1, 1), (1, 2, 0, 0, 2, 1), (1, 2, 1, 1, 2, 1), (1, 2, 2, 2, 2, 1), (1, 2, 3, 3, 2, 1), (1, 2, 4, 4, 2, 1), (1, 2, 5, 5, 2, 1), (1, 2, 6, 6, 2, 1), (1, 2, 7, 7, 2, 1), (1, 2, 8, 8, 2, 1), (1, 2, 9, 9, 2, 1), (1, 3, 0, 0, 3, 1), (1, 3, 1, 1, 3, 1), (1, 3, 2, 2, 3, 1), (1, 3, 3, 3, 3, 1), (1, 3, 4, 4, 3, 1), (1, 3, 5, 5, 3, 1), (1, 3, 6, 6, 3, 1), (1, 3, 7, 7, 3, 1), (1, 3, 8, 8, 3, 1), (1, 3, 9, 9, 3, 1), (1, 4, 0, 0, 4, 1), (1, 4, 1, 1, 4, 1), (1, 4, 2, 2, 4, 1), (1, 4, 3, 3, 4, 1), (1, 4, 4, 4, 4, 1), (1, 4, 5, 5, 4, 1), (1, 4, 6, 6, 4, 1), (1, 4, 7, 7, 4, 1), (1, 4, 8, 8, 4, 1), (1, 4, 9, 9, 4, 1), (1, 5, 0, 0, 5, 1), (1, 5, 1, 1, 5, 1), (1, 5, 2, 2, 5, 1), (1, 5, 3, 3, 5, 1), (1, 5, 4, 4, 5, 1), (1, 5, 5, 5, 5, 1), (1, 5, 6, 6, 5, 1), (1, 5, 7, 7, 5, 1), (1, 5, 8, 8, 5, 1), (1, 5, 9, 9, 5, 1), (1, 6, 0, 0, 6, 1), (1, 6, 1, 1, 6, 1), (1, 6, 2, 2, 6, 1), (1, 6, 3, 3, 6, 1), (1, 6, 4, 4, 6, 1), (1, 6, 5, 5, 6, 1), (1, 6, 6, 6, 6, 1), (1, 6, 7, 7, 6, 1), (1, 6, 8, 8, 6, 1), (1, 6, 9, 9, 6, 1), (1, 7, 0, 0, 7, 1), (1, 7, 1, 1, 7, 1), (1, 7, 2, 2, 7, 1), (1, 7, 3, 3, 7, 1), (1, 7, 4, 4, 7, 1), (1, 7, 5, 5, 7, 1), (1, 7, 6, 6, 7, 1), (1, 7, 7, 7, 7, 1), (1, 7, 8, 8, 7, 1), (1, 7, 9, 9, 7, 1), (1, 8, 0, 0, 8, 1), (1, 8, 1, 1, 8, 1), (1, 8, 2, 2, 8, 1), (1, 8, 3, 3, 8, 1), (1, 8, 4, 4, 8, 1), (1, 8, 5, 5, 8, 1), (1, 8, 6, 6, 8, 1), (1, 8, 7, 7, 8, 1), (1, 8, 8, 8, 8, 1), (1, 8, 9, 9, 8, 1), (1, 9, 0, 0, 9, 1), (1, 9, 1, 1, 9, 1), (1, 9, 2, 2, 9, 1), (1, 9, 3, 3, 9, 1), (1, 9, 4, 4, 9, 1), (1, 9, 5, 5, 9, 1), (1, 9, 6, 6, 9, 1), (1, 9, 7, 7, 9, 1), (1, 9, 8, 8, 9, 1), (1, 9, 9, 9, 9, 1), (2, 0, 0, 0, 0, 2), (2, 0, 1, 1, 0, 2), (2, 0, 2, 2, 0, 2), (2, 0, 3, 3, 0, 2), (2, 0, 4, 4, 0, 2), (2, 0, 5, 5, 0, 2), (2, 0, 6, 6, 0, 2), (2, 0, 7, 7, 0, 2), (2, 0, 8, 8, 0, 2), (2, 0, 9, 9, 0, 2), (2, 1, 0, 0, 1, 2), (2, 1, 1, 1, 1, 2), (2, 1, 2, 2, 1, 2), (2, 1, 3, 3, 1, 2), (2, 1, 4, 4, 1, 2), (2, 1, 5, 5, 1, 2), (2, 1, 6, 6, 1, 2), (2, 1, 7, 7, 1, 2), (2, 1, 8, 8, 1, 2), (2, 1, 9, 9, 1, 2), (2, 2, 0, 0, 2, 2), (2, 2, 1, 1, 2, 2), (2, 2, 2, 2, 2, 2), (2, 2, 3, 3, 2, 2), (2, 2, 4, 4, 2, 2), (2, 2, 5, 5, 2, 2), (2, 2, 6, 6, 2, 2), (2, 2, 7, 7, 2, 2), (2, 2, 8, 8, 2, 2), (2, 2, 9, 9, 2, 2), (2, 3, 0, 0, 3, 2), (2, 3, 1, 1, 3, 2), (2, 3, 2, 2, 3, 2), (2, 3, 3, 3, 3, 2), (2, 3, 4, 4, 3, 2), (2, 3, 5, 5, 3, 2), (2, 3, 6, 6, 3, 2), (2, 3, 7, 7, 3, 2), (2, 3, 8, 8, 3, 2), (2, 3, 9, 9, 3, 2), (2, 4, 0, 0, 4, 2), (2, 4, 1, 1, 4, 2), (2, 4, 2, 2, 4, 2), (2, 4, 3, 3, 4, 2), (2, 4, 4, 4, 4, 2), (2, 4, 5, 5, 4, 2), (2, 4, 6, 6, 4, 2), (2, 4, 7, 7, 4, 2), (2, 4, 8, 8, 4, 2), (2, 4, 9, 9, 4, 2), (2, 5, 0, 0, 5, 2), (2, 5, 1, 1, 5, 2), (2, 5, 2, 2, 5, 2), (2, 5, 3, 3, 5, 2), (2, 5, 4, 4, 5, 2), (2, 5, 5, 5, 5, 2), (2, 5, 6, 6, 5, 2), (2, 5, 7, 7, 5, 2), (2, 5, 8, 8, 5, 2), (2, 5, 9, 9, 5, 2), (2, 6, 0, 0, 6, 2), (2, 6, 1, 1, 6, 2), (2, 6, 2, 2, 6, 2), (2, 6, 3, 3, 6, 2), (2, 6, 4, 4, 6, 2), (2, 6, 5, 5, 6, 2), (2, 6, 6, 6, 6, 2), (2, 6, 7, 7, 6, 2), (2, 6, 8, 8, 6, 2), (2, 6, 9, 9, 6, 2), (2, 7, 0, 0, 7, 2), (2, 7, 1, 1, 7, 2), (2, 7, 2, 2, 7, 2), (2, 7, 3, 3, 7, 2), (2, 7, 4, 4, 7, 2), (2, 7, 5, 5, 7, 2), (2, 7, 6, 6, 7, 2), (2, 7, 7, 7, 7, 2), (2, 7, 8, 8, 7, 2), (2, 7, 9, 9, 7, 2), (2, 8, 0, 0, 8, 2), (2, 8, 1, 1, 8, 2), (2, 8, 2, 2, 8, 2), (2, 8, 3, 3, 8, 2), (2, 8, 4, 4, 8, 2), (2, 8, 5, 5, 8, 2), (2, 8, 6, 6, 8, 2), (2, 8, 7, 7, 8, 2), (2, 8, 8, 8, 8, 2), (2, 8, 9, 9, 8, 2), (2, 9, 0, 0, 9, 2), (2, 9, 1, 1, 9, 2), (2, 9, 2, 2, 9, 2), (2, 9, 3, 3, 9, 2), (2, 9, 4, 4, 9, 2), (2, 9, 5, 5, 9, 2), (2, 9, 6, 6, 9, 2), (2, 9, 7, 7, 9, 2), (2, 9, 8, 8, 9, 2), (2, 9, 9, 9, 9, 2), (3, 0, 0, 0, 0, 3), (3, 0, 1, 1, 0, 3), (3, 0, 2, 2, 0, 3), (3, 0, 3, 3, 0, 3), (3, 0, 4, 4, 0, 3), (3, 0, 5, 5, 0, 3), (3, 0, 6, 6, 0, 3), (3, 0, 7, 7, 0, 3), (3, 0, 8, 8, 0, 3), (3, 0, 9, 9, 0, 3), (3, 1, 0, 0, 1, 3), (3, 1, 1, 1, 1, 3), (3, 1, 2, 2, 1, 3), (3, 1, 3, 3, 1, 3), (3, 1, 4, 4, 1, 3), (3, 1, 5, 5, 1, 3), (3, 1, 6, 6, 1, 3), (3, 1, 7, 7, 1, 3), (3, 1, 8, 8, 1, 3), (3, 1, 9, 9, 1, 3), (3, 2, 0, 0, 2, 3), (3, 2, 1, 1, 2, 3), (3, 2, 2, 2, 2, 3), (3, 2, 3, 3, 2, 3), (3, 2, 4, 4, 2, 3), (3, 2, 5, 5, 2, 3), (3, 2, 6, 6, 2, 3), (3, 2, 7, 7, 2, 3), (3, 2, 8, 8, 2, 3), (3, 2, 9, 9, 2, 3), (3, 3, 0, 0, 3, 3), (3, 3, 1, 1, 3, 3), (3, 3, 2, 2, 3, 3), (3, 3, 3, 3, 3, 3), (3, 3, 4, 4, 3, 3), (3, 3, 5, 5, 3, 3), (3, 3, 6, 6, 3, 3), (3, 3, 7, 7, 3, 3), (3, 3, 8, 8, 3, 3), (3, 3, 9, 9, 3, 3), (3, 4, 0, 0, 4, 3), (3, 4, 1, 1, 4, 3), (3, 4, 2, 2, 4, 3), (3, 4, 3, 3, 4, 3), (3, 4, 4, 4, 4, 3), (3, 4, 5, 5, 4, 3), (3, 4, 6, 6, 4, 3), (3, 4, 7, 7, 4, 3), (3, 4, 8, 8, 4, 3), (3, 4, 9, 9, 4, 3), (3, 5, 0, 0, 5, 3), (3, 5, 1, 1, 5, 3), (3, 5, 2, 2, 5, 3), (3, 5, 3, 3, 5, 3), (3, 5, 4, 4, 5, 3), (3, 5, 5, 5, 5, 3), (3, 5, 6, 6, 5, 3), (3, 5, 7, 7, 5, 3), (3, 5, 8, 8, 5, 3), (3, 5, 9, 9, 5, 3), (3, 6, 0, 0, 6, 3), (3, 6, 1, 1, 6, 3), (3, 6, 2, 2, 6, 3), (3, 6, 3, 3, 6, 3), (3, 6, 4, 4, 6, 3), (3, 6, 5, 5, 6, 3), (3, 6, 6, 6, 6, 3), (3, 6, 7, 7, 6, 3), (3, 6, 8, 8, 6, 3), (3, 6, 9, 9, 6, 3), (3, 7, 0, 0, 7, 3), (3, 7, 1, 1, 7, 3), (3, 7, 2, 2, 7, 3), (3, 7, 3, 3, 7, 3), (3, 7, 4, 4, 7, 3), (3, 7, 5, 5, 7, 3), (3, 7, 6, 6, 7, 3), (3, 7, 7, 7, 7, 3), (3, 7, 8, 8, 7, 3), (3, 7, 9, 9, 7, 3), (3, 8, 0, 0, 8, 3), (3, 8, 1, 1, 8, 3), (3, 8, 2, 2, 8, 3), (3, 8, 3, 3, 8, 3), (3, 8, 4, 4, 8, 3), (3, 8, 5, 5, 8, 3), (3, 8, 6, 6, 8, 3), (3, 8, 7, 7, 8, 3), (3, 8, 8, 8, 8, 3), (3, 8, 9, 9, 8, 3), (3, 9, 0, 0, 9, 3), (3, 9, 1, 1, 9, 3), (3, 9, 2, 2, 9, 3), (3, 9, 3, 3, 9, 3), (3, 9, 4, 4, 9, 3), (3, 9, 5, 5, 9, 3), (3, 9, 6, 6, 9, 3), (3, 9, 7, 7, 9, 3), (3, 9, 8, 8, 9, 3), (3, 9, 9, 9, 9, 3), (4, 0, 0, 0, 0, 4), (4, 0, 1, 1, 0, 4), (4, 0, 2, 2, 0, 4), (4, 0, 3, 3, 0, 4), (4, 0, 4, 4, 0, 4), (4, 0, 5, 5, 0, 4), (4, 0, 6, 6, 0, 4), (4, 0, 7, 7, 0, 4), (4, 0, 8, 8, 0, 4), (4, 0, 9, 9, 0, 4), (4, 1, 0, 0, 1, 4), (4, 1, 1, 1, 1, 4), (4, 1, 2, 2, 1, 4), (4, 1, 3, 3, 1, 4), (4, 1, 4, 4, 1, 4), (4, 1, 5, 5, 1, 4), (4, 1, 6, 6, 1, 4), (4, 1, 7, 7, 1, 4), (4, 1, 8, 8, 1, 4), (4, 1, 9, 9, 1, 4), (4, 2, 0, 0, 2, 4), (4, 2, 1, 1, 2, 4), (4, 2, 2, 2, 2, 4), (4, 2, 3, 3, 2, 4), (4, 2, 4, 4, 2, 4), (4, 2, 5, 5, 2, 4), (4, 2, 6, 6, 2, 4), (4, 2, 7, 7, 2, 4), (4, 2, 8, 8, 2, 4), (4, 2, 9, 9, 2, 4), (4, 3, 0, 0, 3, 4), (4, 3, 1, 1, 3, 4), (4, 3, 2, 2, 3, 4), (4, 3, 3, 3, 3, 4), (4, 3, 4, 4, 3, 4), (4, 3, 5, 5, 3, 4), (4, 3, 6, 6, 3, 4), (4, 3, 7, 7, 3, 4), (4, 3, 8, 8, 3, 4), (4, 3, 9, 9, 3, 4), (4, 4, 0, 0, 4, 4), (4, 4, 1, 1, 4, 4), (4, 4, 2, 2, 4, 4), (4, 4, 3, 3, 4, 4), (4, 4, 4, 4, 4, 4), (4, 4, 5, 5, 4, 4), (4, 4, 6, 6, 4, 4), (4, 4, 7, 7, 4, 4), (4, 4, 8, 8, 4, 4), (4, 4, 9, 9, 4, 4), (4, 5, 0, 0, 5, 4), (4, 5, 1, 1, 5, 4), (4, 5, 2, 2, 5, 4), (4, 5, 3, 3, 5, 4), (4, 5, 4, 4, 5, 4), (4, 5, 5, 5, 5, 4), (4, 5, 6, 6, 5, 4), (4, 5, 7, 7, 5, 4), (4, 5, 8, 8, 5, 4), (4, 5, 9, 9, 5, 4), (4, 6, 0, 0, 6, 4), (4, 6, 1, 1, 6, 4), (4, 6, 2, 2, 6, 4), (4, 6, 3, 3, 6, 4), (4, 6, 4, 4, 6, 4), (4, 6, 5, 5, 6, 4), (4, 6, 6, 6, 6, 4), (4, 6, 7, 7, 6, 4), (4, 6, 8, 8, 6, 4), (4, 6, 9, 9, 6, 4), (4, 7, 0, 0, 7, 4), (4, 7, 1, 1, 7, 4), (4, 7, 2, 2, 7, 4), (4, 7, 3, 3, 7, 4), (4, 7, 4, 4, 7, 4), (4, 7, 5, 5, 7, 4), (4, 7, 6, 6, 7, 4), (4, 7, 7, 7, 7, 4), (4, 7, 8, 8, 7, 4), (4, 7, 9, 9, 7, 4), (4, 8, 0, 0, 8, 4), (4, 8, 1, 1, 8, 4), (4, 8, 2, 2, 8, 4), (4, 8, 3, 3, 8, 4), (4, 8, 4, 4, 8, 4), (4, 8, 5, 5, 8, 4), (4, 8, 6, 6, 8, 4), (4, 8, 7, 7, 8, 4), (4, 8, 8, 8, 8, 4), (4, 8, 9, 9, 8, 4), (4, 9, 0, 0, 9, 4), (4, 9, 1, 1, 9, 4), (4, 9, 2, 2, 9, 4), (4, 9, 3, 3, 9, 4), (4, 9, 4, 4, 9, 4), (4, 9, 5, 5, 9, 4), (4, 9, 6, 6, 9, 4), (4, 9, 7, 7, 9, 4), (4, 9, 8, 8, 9, 4), (4, 9, 9, 9, 9, 4), (5, 0, 0, 0, 0, 5), (5, 0, 1, 1, 0, 5), (5, 0, 2, 2, 0, 5), (5, 0, 3, 3, 0, 5), (5, 0, 4, 4, 0, 5), (5, 0, 5, 5, 0, 5), (5, 0, 6, 6, 0, 5), (5, 0, 7, 7, 0, 5), (5, 0, 8, 8, 0, 5), (5, 0, 9, 9, 0, 5), (5, 1, 0, 0, 1, 5), (5, 1, 1, 1, 1, 5), (5, 1, 2, 2, 1, 5), (5, 1, 3, 3, 1, 5), (5, 1, 4, 4, 1, 5), (5, 1, 5, 5, 1, 5), (5, 1, 6, 6, 1, 5), (5, 1, 7, 7, 1, 5), (5, 1, 8, 8, 1, 5), (5, 1, 9, 9, 1, 5), (5, 2, 0, 0, 2, 5), (5, 2, 1, 1, 2, 5), (5, 2, 2, 2, 2, 5), (5, 2, 3, 3, 2, 5), (5, 2, 4, 4, 2, 5), (5, 2, 5, 5, 2, 5), (5, 2, 6, 6, 2, 5), (5, 2, 7, 7, 2, 5), (5, 2, 8, 8, 2, 5), (5, 2, 9, 9, 2, 5), (5, 3, 0, 0, 3, 5), (5, 3, 1, 1, 3, 5), (5, 3, 2, 2, 3, 5), (5, 3, 3, 3, 3, 5), (5, 3, 4, 4, 3, 5), (5, 3, 5, 5, 3, 5), (5, 3, 6, 6, 3, 5), (5, 3, 7, 7, 3, 5), (5, 3, 8, 8, 3, 5), (5, 3, 9, 9, 3, 5), (5, 4, 0, 0, 4, 5), (5, 4, 1, 1, 4, 5), (5, 4, 2, 2, 4, 5), (5, 4, 3, 3, 4, 5), (5, 4, 4, 4, 4, 5), (5, 4, 5, 5, 4, 5), (5, 4, 6, 6, 4, 5), (5, 4, 7, 7, 4, 5), (5, 4, 8, 8, 4, 5), (5, 4, 9, 9, 4, 5), (5, 5, 0, 0, 5, 5), (5, 5, 1, 1, 5, 5), (5, 5, 2, 2, 5, 5), (5, 5, 3, 3, 5, 5), (5, 5, 4, 4, 5, 5), (5, 5, 5, 5, 5, 5), (5, 5, 6, 6, 5, 5), (5, 5, 7, 7, 5, 5), (5, 5, 8, 8, 5, 5), (5, 5, 9, 9, 5, 5), (5, 6, 0, 0, 6, 5), (5, 6, 1, 1, 6, 5), (5, 6, 2, 2, 6, 5), (5, 6, 3, 3, 6, 5), (5, 6, 4, 4, 6, 5), (5, 6, 5, 5, 6, 5), (5, 6, 6, 6, 6, 5), (5, 6, 7, 7, 6, 5), (5, 6, 8, 8, 6, 5), (5, 6, 9, 9, 6, 5), (5, 7, 0, 0, 7, 5), (5, 7, 1, 1, 7, 5), (5, 7, 2, 2, 7, 5), (5, 7, 3, 3, 7, 5), (5, 7, 4, 4, 7, 5), (5, 7, 5, 5, 7, 5), (5, 7, 6, 6, 7, 5), (5, 7, 7, 7, 7, 5), (5, 7, 8, 8, 7, 5), (5, 7, 9, 9, 7, 5), (5, 8, 0, 0, 8, 5), (5, 8, 1, 1, 8, 5), (5, 8, 2, 2, 8, 5), (5, 8, 3, 3, 8, 5), (5, 8, 4, 4, 8, 5), (5, 8, 5, 5, 8, 5), (5, 8, 6, 6, 8, 5), (5, 8, 7, 7, 8, 5), (5, 8, 8, 8, 8, 5), (5, 8, 9, 9, 8, 5), (5, 9, 0, 0, 9, 5), (5, 9, 1, 1, 9, 5), (5, 9, 2, 2, 9, 5), (5, 9, 3, 3, 9, 5), (5, 9, 4, 4, 9, 5), (5, 9, 5, 5, 9, 5), (5, 9, 6, 6, 9, 5), (5, 9, 7, 7, 9, 5), (5, 9, 8, 8, 9, 5), (5, 9, 9, 9, 9, 5), (6, 0, 0, 0, 0, 6), (6, 0, 1, 1, 0, 6), (6, 0, 2, 2, 0, 6), (6, 0, 3, 3, 0, 6), (6, 0, 4, 4, 0, 6), (6, 0, 5, 5, 0, 6), (6, 0, 6, 6, 0, 6), (6, 0, 7, 7, 0, 6), (6, 0, 8, 8, 0, 6), (6, 0, 9, 9, 0, 6), (6, 1, 0, 0, 1, 6), (6, 1, 1, 1, 1, 6), (6, 1, 2, 2, 1, 6), (6, 1, 3, 3, 1, 6), (6, 1, 4, 4, 1, 6), (6, 1, 5, 5, 1, 6), (6, 1, 6, 6, 1, 6), (6, 1, 7, 7, 1, 6), (6, 1, 8, 8, 1, 6), (6, 1, 9, 9, 1, 6), (6, 2, 0, 0, 2, 6), (6, 2, 1, 1, 2, 6), (6, 2, 2, 2, 2, 6), (6, 2, 3, 3, 2, 6), (6, 2, 4, 4, 2, 6), (6, 2, 5, 5, 2, 6), (6, 2, 6, 6, 2, 6), (6, 2, 7, 7, 2, 6), (6, 2, 8, 8, 2, 6), (6, 2, 9, 9, 2, 6), (6, 3, 0, 0, 3, 6), (6, 3, 1, 1, 3, 6), (6, 3, 2, 2, 3, 6), (6, 3, 3, 3, 3, 6), (6, 3, 4, 4, 3, 6), (6, 3, 5, 5, 3, 6), (6, 3, 6, 6, 3, 6), (6, 3, 7, 7, 3, 6), (6, 3, 8, 8, 3, 6), (6, 3, 9, 9, 3, 6), (6, 4, 0, 0, 4, 6), (6, 4, 1, 1, 4, 6), (6, 4, 2, 2, 4, 6), (6, 4, 3, 3, 4, 6), (6, 4, 4, 4, 4, 6), (6, 4, 5, 5, 4, 6), (6, 4, 6, 6, 4, 6), (6, 4, 7, 7, 4, 6), (6, 4, 8, 8, 4, 6), (6, 4, 9, 9, 4, 6), (6, 5, 0, 0, 5, 6), (6, 5, 1, 1, 5, 6), (6, 5, 2, 2, 5, 6), (6, 5, 3, 3, 5, 6), (6, 5, 4, 4, 5, 6), (6, 5, 5, 5, 5, 6), (6, 5, 6, 6, 5, 6), (6, 5, 7, 7, 5, 6), (6, 5, 8, 8, 5, 6), (6, 5, 9, 9, 5, 6), (6, 6, 0, 0, 6, 6), (6, 6, 1, 1, 6, 6), (6, 6, 2, 2, 6, 6), (6, 6, 3, 3, 6, 6), (6, 6, 4, 4, 6, 6), (6, 6, 5, 5, 6, 6), (6, 6, 6, 6, 6, 6), (6, 6, 7, 7, 6, 6), (6, 6, 8, 8, 6, 6), (6, 6, 9, 9, 6, 6), (6, 7, 0, 0, 7, 6), (6, 7, 1, 1, 7, 6), (6, 7, 2, 2, 7, 6), (6, 7, 3, 3, 7, 6), (6, 7, 4, 4, 7, 6), (6, 7, 5, 5, 7, 6), (6, 7, 6, 6, 7, 6), (6, 7, 7, 7, 7, 6), (6, 7, 8, 8, 7, 6), (6, 7, 9, 9, 7, 6), (6, 8, 0, 0, 8, 6), (6, 8, 1, 1, 8, 6), (6, 8, 2, 2, 8, 6), (6, 8, 3, 3, 8, 6), (6, 8, 4, 4, 8, 6), (6, 8, 5, 5, 8, 6), (6, 8, 6, 6, 8, 6), (6, 8, 7, 7, 8, 6), (6, 8, 8, 8, 8, 6), (6, 8, 9, 9, 8, 6), (6, 9, 0, 0, 9, 6), (6, 9, 1, 1, 9, 6), (6, 9, 2, 2, 9, 6), (6, 9, 3, 3, 9, 6), (6, 9, 4, 4, 9, 6), (6, 9, 5, 5, 9, 6), (6, 9, 6, 6, 9, 6), (6, 9, 7, 7, 9, 6), (6, 9, 8, 8, 9, 6), (6, 9, 9, 9, 9, 6), (7, 0, 0, 0, 0, 7), (7, 0, 1, 1, 0, 7), (7, 0, 2, 2, 0, 7), (7, 0, 3, 3, 0, 7), (7, 0, 4, 4, 0, 7), (7, 0, 5, 5, 0, 7), (7, 0, 6, 6, 0, 7), (7, 0, 7, 7, 0, 7), (7, 0, 8, 8, 0, 7), (7, 0, 9, 9, 0, 7), (7, 1, 0, 0, 1, 7), (7, 1, 1, 1, 1, 7), (7, 1, 2, 2, 1, 7), (7, 1, 3, 3, 1, 7), (7, 1, 4, 4, 1, 7), (7, 1, 5, 5, 1, 7), (7, 1, 6, 6, 1, 7), (7, 1, 7, 7, 1, 7), (7, 1, 8, 8, 1, 7), (7, 1, 9, 9, 1, 7), (7, 2, 0, 0, 2, 7), (7, 2, 1, 1, 2, 7), (7, 2, 2, 2, 2, 7), (7, 2, 3, 3, 2, 7), (7, 2, 4, 4, 2, 7), (7, 2, 5, 5, 2, 7), (7, 2, 6, 6, 2, 7), (7, 2, 7, 7, 2, 7), (7, 2, 8, 8, 2, 7), (7, 2, 9, 9, 2, 7), (7, 3, 0, 0, 3, 7), (7, 3, 1, 1, 3, 7), (7, 3, 2, 2, 3, 7), (7, 3, 3, 3, 3, 7), (7, 3, 4, 4, 3, 7), (7, 3, 5, 5, 3, 7), (7, 3, 6, 6, 3, 7), (7, 3, 7, 7, 3, 7), (7, 3, 8, 8, 3, 7), (7, 3, 9, 9, 3, 7), (7, 4, 0, 0, 4, 7), (7, 4, 1, 1, 4, 7), (7, 4, 2, 2, 4, 7), (7, 4, 3, 3, 4, 7), (7, 4, 4, 4, 4, 7), (7, 4, 5, 5, 4, 7), (7, 4, 6, 6, 4, 7), (7, 4, 7, 7, 4, 7), (7, 4, 8, 8, 4, 7), (7, 4, 9, 9, 4, 7), (7, 5, 0, 0, 5, 7), (7, 5, 1, 1, 5, 7), (7, 5, 2, 2, 5, 7), (7, 5, 3, 3, 5, 7), (7, 5, 4, 4, 5, 7), (7, 5, 5, 5, 5, 7), (7, 5, 6, 6, 5, 7), (7, 5, 7, 7, 5, 7), (7, 5, 8, 8, 5, 7), (7, 5, 9, 9, 5, 7), (7, 6, 0, 0, 6, 7), (7, 6, 1, 1, 6, 7), (7, 6, 2, 2, 6, 7), (7, 6, 3, 3, 6, 7), (7, 6, 4, 4, 6, 7), (7, 6, 5, 5, 6, 7), (7, 6, 6, 6, 6, 7), (7, 6, 7, 7, 6, 7), (7, 6, 8, 8, 6, 7), (7, 6, 9, 9, 6, 7), (7, 7, 0, 0, 7, 7), (7, 7, 1, 1, 7, 7), (7, 7, 2, 2, 7, 7), (7, 7, 3, 3, 7, 7), (7, 7, 4, 4, 7, 7), (7, 7, 5, 5, 7, 7), (7, 7, 6, 6, 7, 7), (7, 7, 7, 7, 7, 7), (7, 7, 8, 8, 7, 7), (7, 7, 9, 9, 7, 7), (7, 8, 0, 0, 8, 7), (7, 8, 1, 1, 8, 7), (7, 8, 2, 2, 8, 7), (7, 8, 3, 3, 8, 7), (7, 8, 4, 4, 8, 7), (7, 8, 5, 5, 8, 7), (7, 8, 6, 6, 8, 7), (7, 8, 7, 7, 8, 7), (7, 8, 8, 8, 8, 7), (7, 8, 9, 9, 8, 7), (7, 9, 0, 0, 9, 7), (7, 9, 1, 1, 9, 7), (7, 9, 2, 2, 9, 7), (7, 9, 3, 3, 9, 7), (7, 9, 4, 4, 9, 7), (7, 9, 5, 5, 9, 7), (7, 9, 6, 6, 9, 7), (7, 9, 7, 7, 9, 7), (7, 9, 8, 8, 9, 7), (7, 9, 9, 9, 9, 7), (8, 0, 0, 0, 0, 8), (8, 0, 1, 1, 0, 8), (8, 0, 2, 2, 0, 8), (8, 0, 3, 3, 0, 8), (8, 0, 4, 4, 0, 8), (8, 0, 5, 5, 0, 8), (8, 0, 6, 6, 0, 8), (8, 0, 7, 7, 0, 8), (8, 0, 8, 8, 0, 8), (8, 0, 9, 9, 0, 8), (8, 1, 0, 0, 1, 8), (8, 1, 1, 1, 1, 8), (8, 1, 2, 2, 1, 8), (8, 1, 3, 3, 1, 8), (8, 1, 4, 4, 1, 8), (8, 1, 5, 5, 1, 8), (8, 1, 6, 6, 1, 8), (8, 1, 7, 7, 1, 8), (8, 1, 8, 8, 1, 8), (8, 1, 9, 9, 1, 8), (8, 2, 0, 0, 2, 8), (8, 2, 1, 1, 2, 8), (8, 2, 2, 2, 2, 8), (8, 2, 3, 3, 2, 8), (8, 2, 4, 4, 2, 8), (8, 2, 5, 5, 2, 8), (8, 2, 6, 6, 2, 8), (8, 2, 7, 7, 2, 8), (8, 2, 8, 8, 2, 8), (8, 2, 9, 9, 2, 8), (8, 3, 0, 0, 3, 8), (8, 3, 1, 1, 3, 8), (8, 3, 2, 2, 3, 8), (8, 3, 3, 3, 3, 8), (8, 3, 4, 4, 3, 8), (8, 3, 5, 5, 3, 8), (8, 3, 6, 6, 3, 8), (8, 3, 7, 7, 3, 8), (8, 3, 8, 8, 3, 8), (8, 3, 9, 9, 3, 8), (8, 4, 0, 0, 4, 8), (8, 4, 1, 1, 4, 8), (8, 4, 2, 2, 4, 8), (8, 4, 3, 3, 4, 8), (8, 4, 4, 4, 4, 8), (8, 4, 5, 5, 4, 8), (8, 4, 6, 6, 4, 8), (8, 4, 7, 7, 4, 8), (8, 4, 8, 8, 4, 8), (8, 4, 9, 9, 4, 8), (8, 5, 0, 0, 5, 8), (8, 5, 1, 1, 5, 8), (8, 5, 2, 2, 5, 8), (8, 5, 3, 3, 5, 8), (8, 5, 4, 4, 5, 8), (8, 5, 5, 5, 5, 8), (8, 5, 6, 6, 5, 8), (8, 5, 7, 7, 5, 8), (8, 5, 8, 8, 5, 8), (8, 5, 9, 9, 5, 8), (8, 6, 0, 0, 6, 8), (8, 6, 1, 1, 6, 8), (8, 6, 2, 2, 6, 8), (8, 6, 3, 3, 6, 8), (8, 6, 4, 4, 6, 8), (8, 6, 5, 5, 6, 8), (8, 6, 6, 6, 6, 8), (8, 6, 7, 7, 6, 8), (8, 6, 8, 8, 6, 8), (8, 6, 9, 9, 6, 8), (8, 7, 0, 0, 7, 8), (8, 7, 1, 1, 7, 8), (8, 7, 2, 2, 7, 8), (8, 7, 3, 3, 7, 8), (8, 7, 4, 4, 7, 8), (8, 7, 5, 5, 7, 8), (8, 7, 6, 6, 7, 8), (8, 7, 7, 7, 7, 8), (8, 7, 8, 8, 7, 8), (8, 7, 9, 9, 7, 8), (8, 8, 0, 0, 8, 8), (8, 8, 1, 1, 8, 8), (8, 8, 2, 2, 8, 8), (8, 8, 3, 3, 8, 8), (8, 8, 4, 4, 8, 8), (8, 8, 5, 5, 8, 8), (8, 8, 6, 6, 8, 8), (8, 8, 7, 7, 8, 8), (8, 8, 8, 8, 8, 8), (8, 8, 9, 9, 8, 8), (8, 9, 0, 0, 9, 8), (8, 9, 1, 1, 9, 8), (8, 9, 2, 2, 9, 8), (8, 9, 3, 3, 9, 8), (8, 9, 4, 4, 9, 8), (8, 9, 5, 5, 9, 8), (8, 9, 6, 6, 9, 8), (8, 9, 7, 7, 9, 8), (8, 9, 8, 8, 9, 8), (8, 9, 9, 9, 9, 8), (9, 0, 0, 0, 0, 9), (9, 0, 1, 1, 0, 9), (9, 0, 2, 2, 0, 9), (9, 0, 3, 3, 0, 9), (9, 0, 4, 4, 0, 9), (9, 0, 5, 5, 0, 9), (9, 0, 6, 6, 0, 9), (9, 0, 7, 7, 0, 9), (9, 0, 8, 8, 0, 9), (9, 0, 9, 9, 0, 9), (9, 1, 0, 0, 1, 9), (9, 1, 1, 1, 1, 9), (9, 1, 2, 2, 1, 9), (9, 1, 3, 3, 1, 9), (9, 1, 4, 4, 1, 9), (9, 1, 5, 5, 1, 9), (9, 1, 6, 6, 1, 9), (9, 1, 7, 7, 1, 9), (9, 1, 8, 8, 1, 9), (9, 1, 9, 9, 1, 9), (9, 2, 0, 0, 2, 9), (9, 2, 1, 1, 2, 9), (9, 2, 2, 2, 2, 9), (9, 2, 3, 3, 2, 9), (9, 2, 4, 4, 2, 9), (9, 2, 5, 5, 2, 9), (9, 2, 6, 6, 2, 9), (9, 2, 7, 7, 2, 9), (9, 2, 8, 8, 2, 9), (9, 2, 9, 9, 2, 9), (9, 3, 0, 0, 3, 9), (9, 3, 1, 1, 3, 9), (9, 3, 2, 2, 3, 9), (9, 3, 3, 3, 3, 9), (9, 3, 4, 4, 3, 9), (9, 3, 5, 5, 3, 9), (9, 3, 6, 6, 3, 9), (9, 3, 7, 7, 3, 9), (9, 3, 8, 8, 3, 9), (9, 3, 9, 9, 3, 9), (9, 4, 0, 0, 4, 9), (9, 4, 1, 1, 4, 9), (9, 4, 2, 2, 4, 9), (9, 4, 3, 3, 4, 9), (9, 4, 4, 4, 4, 9), (9, 4, 5, 5, 4, 9), (9, 4, 6, 6, 4, 9), (9, 4, 7, 7, 4, 9), (9, 4, 8, 8, 4, 9), (9, 4, 9, 9, 4, 9), (9, 5, 0, 0, 5, 9), (9, 5, 1, 1, 5, 9), (9, 5, 2, 2, 5, 9), (9, 5, 3, 3, 5, 9), (9, 5, 4, 4, 5, 9), (9, 5, 5, 5, 5, 9), (9, 5, 6, 6, 5, 9), (9, 5, 7, 7, 5, 9), (9, 5, 8, 8, 5, 9), (9, 5, 9, 9, 5, 9), (9, 6, 0, 0, 6, 9), (9, 6, 1, 1, 6, 9), (9, 6, 2, 2, 6, 9), (9, 6, 3, 3, 6, 9), (9, 6, 4, 4, 6, 9), (9, 6, 5, 5, 6, 9), (9, 6, 6, 6, 6, 9), (9, 6, 7, 7, 6, 9), (9, 6, 8, 8, 6, 9), (9, 6, 9, 9, 6, 9), (9, 7, 0, 0, 7, 9), (9, 7, 1, 1, 7, 9), (9, 7, 2, 2, 7, 9), (9, 7, 3, 3, 7, 9), (9, 7, 4, 4, 7, 9), (9, 7, 5, 5, 7, 9), (9, 7, 6, 6, 7, 9), (9, 7, 7, 7, 7, 9), (9, 7, 8, 8, 7, 9), (9, 7, 9, 9, 7, 9), (9, 8, 0, 0, 8, 9), (9, 8, 1, 1, 8, 9), (9, 8, 2, 2, 8, 9), (9, 8, 3, 3, 8, 9), (9, 8, 4, 4, 8, 9), (9, 8, 5, 5, 8, 9), (9, 8, 6, 6, 8, 9), (9, 8, 7, 7, 8, 9), (9, 8, 8, 8, 8, 9), (9, 8, 9, 9, 8, 9), (9, 9, 0, 0, 9, 9), (9, 9, 1, 1, 9, 9), (9, 9, 2, 2, 9, 9), (9, 9, 3, 3, 9, 9), (9, 9, 4, 4, 9, 9), (9, 9, 5, 5, 9, 9), (9, 9, 6, 6, 9, 9), (9, 9, 7, 7, 9, 9), (9, 9, 8, 8, 9, 9), (9, 9, 9, 9, 9, 9)]
%time
rje=list(filter(lambda x: len(set(x))==6, it.product(range(10),repeat=6)))
len(rje)
CPU times: user 5 µs, sys: 0 ns, total: 5 µs Wall time: 10.3 µs
prvih 200 takvih uređenih šestorki
DSTG.ispis(rje[:200],80)
[(0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 6), (0, 1, 2, 3, 4, 7), (0, 1, 2, 3, 4, 8), (0, 1, 2, 3, 4, 9), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 6), (0, 1, 2, 3, 5, 7), (0, 1, 2, 3, 5, 8), (0, 1, 2, 3, 5, 9), (0, 1, 2, 3, 6, 4), (0, 1, 2, 3, 6, 5), (0, 1, 2, 3, 6, 7), (0, 1, 2, 3, 6, 8), (0, 1, 2, 3, 6, 9), (0, 1, 2, 3, 7, 4), (0, 1, 2, 3, 7, 5), (0, 1, 2, 3, 7, 6), (0, 1, 2, 3, 7, 8), (0, 1, 2, 3, 7, 9), (0, 1, 2, 3, 8, 4), (0, 1, 2, 3, 8, 5), (0, 1, 2, 3, 8, 6), (0, 1, 2, 3, 8, 7), (0, 1, 2, 3, 8, 9), (0, 1, 2, 3, 9, 4), (0, 1, 2, 3, 9, 5), (0, 1, 2, 3, 9, 6), (0, 1, 2, 3, 9, 7), (0, 1, 2, 3, 9, 8), (0, 1, 2, 4, 3, 5), (0, 1, 2, 4, 3, 6), (0, 1, 2, 4, 3, 7), (0, 1, 2, 4, 3, 8), (0, 1, 2, 4, 3, 9), (0, 1, 2, 4, 5, 3), (0, 1, 2, 4, 5, 6), (0, 1, 2, 4, 5, 7), (0, 1, 2, 4, 5, 8), (0, 1, 2, 4, 5, 9), (0, 1, 2, 4, 6, 3), (0, 1, 2, 4, 6, 5), (0, 1, 2, 4, 6, 7), (0, 1, 2, 4, 6, 8), (0, 1, 2, 4, 6, 9), (0, 1, 2, 4, 7, 3), (0, 1, 2, 4, 7, 5), (0, 1, 2, 4, 7, 6), (0, 1, 2, 4, 7, 8), (0, 1, 2, 4, 7, 9), (0, 1, 2, 4, 8, 3), (0, 1, 2, 4, 8, 5), (0, 1, 2, 4, 8, 6), (0, 1, 2, 4, 8, 7), (0, 1, 2, 4, 8, 9), (0, 1, 2, 4, 9, 3), (0, 1, 2, 4, 9, 5), (0, 1, 2, 4, 9, 6), (0, 1, 2, 4, 9, 7), (0, 1, 2, 4, 9, 8), (0, 1, 2, 5, 3, 4), (0, 1, 2, 5, 3, 6), (0, 1, 2, 5, 3, 7), (0, 1, 2, 5, 3, 8), (0, 1, 2, 5, 3, 9), (0, 1, 2, 5, 4, 3), (0, 1, 2, 5, 4, 6), (0, 1, 2, 5, 4, 7), (0, 1, 2, 5, 4, 8), (0, 1, 2, 5, 4, 9), (0, 1, 2, 5, 6, 3), (0, 1, 2, 5, 6, 4), (0, 1, 2, 5, 6, 7), (0, 1, 2, 5, 6, 8), (0, 1, 2, 5, 6, 9), (0, 1, 2, 5, 7, 3), (0, 1, 2, 5, 7, 4), (0, 1, 2, 5, 7, 6), (0, 1, 2, 5, 7, 8), (0, 1, 2, 5, 7, 9), (0, 1, 2, 5, 8, 3), (0, 1, 2, 5, 8, 4), (0, 1, 2, 5, 8, 6), (0, 1, 2, 5, 8, 7), (0, 1, 2, 5, 8, 9), (0, 1, 2, 5, 9, 3), (0, 1, 2, 5, 9, 4), (0, 1, 2, 5, 9, 6), (0, 1, 2, 5, 9, 7), (0, 1, 2, 5, 9, 8), (0, 1, 2, 6, 3, 4), (0, 1, 2, 6, 3, 5), (0, 1, 2, 6, 3, 7), (0, 1, 2, 6, 3, 8), (0, 1, 2, 6, 3, 9), (0, 1, 2, 6, 4, 3), (0, 1, 2, 6, 4, 5), (0, 1, 2, 6, 4, 7), (0, 1, 2, 6, 4, 8), (0, 1, 2, 6, 4, 9), (0, 1, 2, 6, 5, 3), (0, 1, 2, 6, 5, 4), (0, 1, 2, 6, 5, 7), (0, 1, 2, 6, 5, 8), (0, 1, 2, 6, 5, 9), (0, 1, 2, 6, 7, 3), (0, 1, 2, 6, 7, 4), (0, 1, 2, 6, 7, 5), (0, 1, 2, 6, 7, 8), (0, 1, 2, 6, 7, 9), (0, 1, 2, 6, 8, 3), (0, 1, 2, 6, 8, 4), (0, 1, 2, 6, 8, 5), (0, 1, 2, 6, 8, 7), (0, 1, 2, 6, 8, 9), (0, 1, 2, 6, 9, 3), (0, 1, 2, 6, 9, 4), (0, 1, 2, 6, 9, 5), (0, 1, 2, 6, 9, 7), (0, 1, 2, 6, 9, 8), (0, 1, 2, 7, 3, 4), (0, 1, 2, 7, 3, 5), (0, 1, 2, 7, 3, 6), (0, 1, 2, 7, 3, 8), (0, 1, 2, 7, 3, 9), (0, 1, 2, 7, 4, 3), (0, 1, 2, 7, 4, 5), (0, 1, 2, 7, 4, 6), (0, 1, 2, 7, 4, 8), (0, 1, 2, 7, 4, 9), (0, 1, 2, 7, 5, 3), (0, 1, 2, 7, 5, 4), (0, 1, 2, 7, 5, 6), (0, 1, 2, 7, 5, 8), (0, 1, 2, 7, 5, 9), (0, 1, 2, 7, 6, 3), (0, 1, 2, 7, 6, 4), (0, 1, 2, 7, 6, 5), (0, 1, 2, 7, 6, 8), (0, 1, 2, 7, 6, 9), (0, 1, 2, 7, 8, 3), (0, 1, 2, 7, 8, 4), (0, 1, 2, 7, 8, 5), (0, 1, 2, 7, 8, 6), (0, 1, 2, 7, 8, 9), (0, 1, 2, 7, 9, 3), (0, 1, 2, 7, 9, 4), (0, 1, 2, 7, 9, 5), (0, 1, 2, 7, 9, 6), (0, 1, 2, 7, 9, 8), (0, 1, 2, 8, 3, 4), (0, 1, 2, 8, 3, 5), (0, 1, 2, 8, 3, 6), (0, 1, 2, 8, 3, 7), (0, 1, 2, 8, 3, 9), (0, 1, 2, 8, 4, 3), (0, 1, 2, 8, 4, 5), (0, 1, 2, 8, 4, 6), (0, 1, 2, 8, 4, 7), (0, 1, 2, 8, 4, 9), (0, 1, 2, 8, 5, 3), (0, 1, 2, 8, 5, 4), (0, 1, 2, 8, 5, 6), (0, 1, 2, 8, 5, 7), (0, 1, 2, 8, 5, 9), (0, 1, 2, 8, 6, 3), (0, 1, 2, 8, 6, 4), (0, 1, 2, 8, 6, 5), (0, 1, 2, 8, 6, 7), (0, 1, 2, 8, 6, 9), (0, 1, 2, 8, 7, 3), (0, 1, 2, 8, 7, 4), (0, 1, 2, 8, 7, 5), (0, 1, 2, 8, 7, 6), (0, 1, 2, 8, 7, 9), (0, 1, 2, 8, 9, 3), (0, 1, 2, 8, 9, 4), (0, 1, 2, 8, 9, 5), (0, 1, 2, 8, 9, 6), (0, 1, 2, 8, 9, 7), (0, 1, 2, 9, 3, 4), (0, 1, 2, 9, 3, 5), (0, 1, 2, 9, 3, 6), (0, 1, 2, 9, 3, 7), (0, 1, 2, 9, 3, 8), (0, 1, 2, 9, 4, 3), (0, 1, 2, 9, 4, 5), (0, 1, 2, 9, 4, 6), (0, 1, 2, 9, 4, 7), (0, 1, 2, 9, 4, 8), (0, 1, 2, 9, 5, 3), (0, 1, 2, 9, 5, 4), (0, 1, 2, 9, 5, 6), (0, 1, 2, 9, 5, 7), (0, 1, 2, 9, 5, 8), (0, 1, 2, 9, 6, 3), (0, 1, 2, 9, 6, 4), (0, 1, 2, 9, 6, 5), (0, 1, 2, 9, 6, 7), (0, 1, 2, 9, 6, 8)]
spremanje svih takvih uređenih šestorki u datoteku
dat=open('zad6e','w')
brojac=0
for x in rje:
brojac+=1
dat.write("%s, " % str(x))
if brojac%8==0:
dat.write(" \n")
dat.close()
%time
rjf=list(filter(lambda x: len(set(x))==6 and x==tuple(sorted(x)), it.product(range(10),repeat=6)))
len(rjf)
CPU times: user 2 µs, sys: 0 ns, total: 2 µs Wall time: 4.05 µs
DSTG.ispis(rjf,80)
[(0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 6), (0, 1, 2, 3, 4, 7), (0, 1, 2, 3, 4, 8), (0, 1, 2, 3, 4, 9), (0, 1, 2, 3, 5, 6), (0, 1, 2, 3, 5, 7), (0, 1, 2, 3, 5, 8), (0, 1, 2, 3, 5, 9), (0, 1, 2, 3, 6, 7), (0, 1, 2, 3, 6, 8), (0, 1, 2, 3, 6, 9), (0, 1, 2, 3, 7, 8), (0, 1, 2, 3, 7, 9), (0, 1, 2, 3, 8, 9), (0, 1, 2, 4, 5, 6), (0, 1, 2, 4, 5, 7), (0, 1, 2, 4, 5, 8), (0, 1, 2, 4, 5, 9), (0, 1, 2, 4, 6, 7), (0, 1, 2, 4, 6, 8), (0, 1, 2, 4, 6, 9), (0, 1, 2, 4, 7, 8), (0, 1, 2, 4, 7, 9), (0, 1, 2, 4, 8, 9), (0, 1, 2, 5, 6, 7), (0, 1, 2, 5, 6, 8), (0, 1, 2, 5, 6, 9), (0, 1, 2, 5, 7, 8), (0, 1, 2, 5, 7, 9), (0, 1, 2, 5, 8, 9), (0, 1, 2, 6, 7, 8), (0, 1, 2, 6, 7, 9), (0, 1, 2, 6, 8, 9), (0, 1, 2, 7, 8, 9), (0, 1, 3, 4, 5, 6), (0, 1, 3, 4, 5, 7), (0, 1, 3, 4, 5, 8), (0, 1, 3, 4, 5, 9), (0, 1, 3, 4, 6, 7), (0, 1, 3, 4, 6, 8), (0, 1, 3, 4, 6, 9), (0, 1, 3, 4, 7, 8), (0, 1, 3, 4, 7, 9), (0, 1, 3, 4, 8, 9), (0, 1, 3, 5, 6, 7), (0, 1, 3, 5, 6, 8), (0, 1, 3, 5, 6, 9), (0, 1, 3, 5, 7, 8), (0, 1, 3, 5, 7, 9), (0, 1, 3, 5, 8, 9), (0, 1, 3, 6, 7, 8), (0, 1, 3, 6, 7, 9), (0, 1, 3, 6, 8, 9), (0, 1, 3, 7, 8, 9), (0, 1, 4, 5, 6, 7), (0, 1, 4, 5, 6, 8), (0, 1, 4, 5, 6, 9), (0, 1, 4, 5, 7, 8), (0, 1, 4, 5, 7, 9), (0, 1, 4, 5, 8, 9), (0, 1, 4, 6, 7, 8), (0, 1, 4, 6, 7, 9), (0, 1, 4, 6, 8, 9), (0, 1, 4, 7, 8, 9), (0, 1, 5, 6, 7, 8), (0, 1, 5, 6, 7, 9), (0, 1, 5, 6, 8, 9), (0, 1, 5, 7, 8, 9), (0, 1, 6, 7, 8, 9), (0, 2, 3, 4, 5, 6), (0, 2, 3, 4, 5, 7), (0, 2, 3, 4, 5, 8), (0, 2, 3, 4, 5, 9), (0, 2, 3, 4, 6, 7), (0, 2, 3, 4, 6, 8), (0, 2, 3, 4, 6, 9), (0, 2, 3, 4, 7, 8), (0, 2, 3, 4, 7, 9), (0, 2, 3, 4, 8, 9), (0, 2, 3, 5, 6, 7), (0, 2, 3, 5, 6, 8), (0, 2, 3, 5, 6, 9), (0, 2, 3, 5, 7, 8), (0, 2, 3, 5, 7, 9), (0, 2, 3, 5, 8, 9), (0, 2, 3, 6, 7, 8), (0, 2, 3, 6, 7, 9), (0, 2, 3, 6, 8, 9), (0, 2, 3, 7, 8, 9), (0, 2, 4, 5, 6, 7), (0, 2, 4, 5, 6, 8), (0, 2, 4, 5, 6, 9), (0, 2, 4, 5, 7, 8), (0, 2, 4, 5, 7, 9), (0, 2, 4, 5, 8, 9), (0, 2, 4, 6, 7, 8), (0, 2, 4, 6, 7, 9), (0, 2, 4, 6, 8, 9), (0, 2, 4, 7, 8, 9), (0, 2, 5, 6, 7, 8), (0, 2, 5, 6, 7, 9), (0, 2, 5, 6, 8, 9), (0, 2, 5, 7, 8, 9), (0, 2, 6, 7, 8, 9), (0, 3, 4, 5, 6, 7), (0, 3, 4, 5, 6, 8), (0, 3, 4, 5, 6, 9), (0, 3, 4, 5, 7, 8), (0, 3, 4, 5, 7, 9), (0, 3, 4, 5, 8, 9), (0, 3, 4, 6, 7, 8), (0, 3, 4, 6, 7, 9), (0, 3, 4, 6, 8, 9), (0, 3, 4, 7, 8, 9), (0, 3, 5, 6, 7, 8), (0, 3, 5, 6, 7, 9), (0, 3, 5, 6, 8, 9), (0, 3, 5, 7, 8, 9), (0, 3, 6, 7, 8, 9), (0, 4, 5, 6, 7, 8), (0, 4, 5, 6, 7, 9), (0, 4, 5, 6, 8, 9), (0, 4, 5, 7, 8, 9), (0, 4, 6, 7, 8, 9), (0, 5, 6, 7, 8, 9), (1, 2, 3, 4, 5, 6), (1, 2, 3, 4, 5, 7), (1, 2, 3, 4, 5, 8), (1, 2, 3, 4, 5, 9), (1, 2, 3, 4, 6, 7), (1, 2, 3, 4, 6, 8), (1, 2, 3, 4, 6, 9), (1, 2, 3, 4, 7, 8), (1, 2, 3, 4, 7, 9), (1, 2, 3, 4, 8, 9), (1, 2, 3, 5, 6, 7), (1, 2, 3, 5, 6, 8), (1, 2, 3, 5, 6, 9), (1, 2, 3, 5, 7, 8), (1, 2, 3, 5, 7, 9), (1, 2, 3, 5, 8, 9), (1, 2, 3, 6, 7, 8), (1, 2, 3, 6, 7, 9), (1, 2, 3, 6, 8, 9), (1, 2, 3, 7, 8, 9), (1, 2, 4, 5, 6, 7), (1, 2, 4, 5, 6, 8), (1, 2, 4, 5, 6, 9), (1, 2, 4, 5, 7, 8), (1, 2, 4, 5, 7, 9), (1, 2, 4, 5, 8, 9), (1, 2, 4, 6, 7, 8), (1, 2, 4, 6, 7, 9), (1, 2, 4, 6, 8, 9), (1, 2, 4, 7, 8, 9), (1, 2, 5, 6, 7, 8), (1, 2, 5, 6, 7, 9), (1, 2, 5, 6, 8, 9), (1, 2, 5, 7, 8, 9), (1, 2, 6, 7, 8, 9), (1, 3, 4, 5, 6, 7), (1, 3, 4, 5, 6, 8), (1, 3, 4, 5, 6, 9), (1, 3, 4, 5, 7, 8), (1, 3, 4, 5, 7, 9), (1, 3, 4, 5, 8, 9), (1, 3, 4, 6, 7, 8), (1, 3, 4, 6, 7, 9), (1, 3, 4, 6, 8, 9), (1, 3, 4, 7, 8, 9), (1, 3, 5, 6, 7, 8), (1, 3, 5, 6, 7, 9), (1, 3, 5, 6, 8, 9), (1, 3, 5, 7, 8, 9), (1, 3, 6, 7, 8, 9), (1, 4, 5, 6, 7, 8), (1, 4, 5, 6, 7, 9), (1, 4, 5, 6, 8, 9), (1, 4, 5, 7, 8, 9), (1, 4, 6, 7, 8, 9), (1, 5, 6, 7, 8, 9), (2, 3, 4, 5, 6, 7), (2, 3, 4, 5, 6, 8), (2, 3, 4, 5, 6, 9), (2, 3, 4, 5, 7, 8), (2, 3, 4, 5, 7, 9), (2, 3, 4, 5, 8, 9), (2, 3, 4, 6, 7, 8), (2, 3, 4, 6, 7, 9), (2, 3, 4, 6, 8, 9), (2, 3, 4, 7, 8, 9), (2, 3, 5, 6, 7, 8), (2, 3, 5, 6, 7, 9), (2, 3, 5, 6, 8, 9), (2, 3, 5, 7, 8, 9), (2, 3, 6, 7, 8, 9), (2, 4, 5, 6, 7, 8), (2, 4, 5, 6, 7, 9), (2, 4, 5, 6, 8, 9), (2, 4, 5, 7, 8, 9), (2, 4, 6, 7, 8, 9), (2, 5, 6, 7, 8, 9), (3, 4, 5, 6, 7, 8), (3, 4, 5, 6, 7, 9), (3, 4, 5, 6, 8, 9), (3, 4, 5, 7, 8, 9), (3, 4, 6, 7, 8, 9), (3, 5, 6, 7, 8, 9), (4, 5, 6, 7, 8, 9)]
Koliko ima nenegativnih cjelobrojnih rješenja jednadžba $x_1+x_2+x_3+x_4=13$?
jed=list(filter(lambda x: x[0]+x[1]+x[2]+x[3]==13, it.product(range(14),repeat=4)))
len(jed)
DSTG.ispis(jed,102)
[(0, 0, 0, 13), (0, 0, 1, 12), (0, 0, 2, 11), (0, 0, 3, 10), (0, 0, 4, 9), (0, 0, 5, 8), (0, 0, 6, 7), (0, 0, 7, 6), (0, 0, 8, 5), (0, 0, 9, 4), (0, 0, 10, 3), (0, 0, 11, 2), (0, 0, 12, 1), (0, 0, 13, 0), (0, 1, 0, 12), (0, 1, 1, 11), (0, 1, 2, 10), (0, 1, 3, 9), (0, 1, 4, 8), (0, 1, 5, 7), (0, 1, 6, 6), (0, 1, 7, 5), (0, 1, 8, 4), (0, 1, 9, 3), (0, 1, 10, 2), (0, 1, 11, 1), (0, 1, 12, 0), (0, 2, 0, 11), (0, 2, 1, 10), (0, 2, 2, 9), (0, 2, 3, 8), (0, 2, 4, 7), (0, 2, 5, 6), (0, 2, 6, 5), (0, 2, 7, 4), (0, 2, 8, 3), (0, 2, 9, 2), (0, 2, 10, 1), (0, 2, 11, 0), (0, 3, 0, 10), (0, 3, 1, 9), (0, 3, 2, 8), (0, 3, 3, 7), (0, 3, 4, 6), (0, 3, 5, 5), (0, 3, 6, 4), (0, 3, 7, 3), (0, 3, 8, 2), (0, 3, 9, 1), (0, 3, 1 0, 0), (0, 4, 0, 9), (0, 4, 1, 8), (0, 4, 2, 7), (0, 4, 3, 6), (0, 4, 4, 5), (0, 4, 5, 4), (0, 4, 6, 3 ), (0, 4, 7, 2), (0, 4, 8, 1), (0, 4, 9, 0), (0, 5, 0, 8), (0, 5, 1, 7), (0, 5, 2, 6), (0, 5, 3, 5), ( 0, 5, 4, 4), (0, 5, 5, 3), (0, 5, 6, 2), (0, 5, 7, 1), (0, 5, 8, 0), (0, 6, 0, 7), (0, 6, 1, 6), (0, 6 , 2, 5), (0, 6, 3, 4), (0, 6, 4, 3), (0, 6, 5, 2), (0, 6, 6, 1), (0, 6, 7, 0), (0, 7, 0, 6), (0, 7, 1, 5), (0, 7, 2, 4), (0, 7, 3, 3), (0, 7, 4, 2), (0, 7, 5, 1), (0, 7, 6, 0), (0, 8, 0, 5), (0, 8, 1, 4), (0, 8, 2, 3), (0, 8, 3, 2), (0, 8, 4, 1), (0, 8, 5, 0), (0, 9, 0, 4), (0, 9, 1, 3), (0, 9, 2, 2), (0, 9, 3, 1), (0, 9, 4, 0), (0, 10, 0, 3), (0, 10, 1, 2), (0, 10, 2, 1), (0, 10, 3, 0), (0, 11, 0, 2), (0 , 11, 1, 1), (0, 11, 2, 0), (0, 12, 0, 1), (0, 12, 1, 0), (0, 13, 0, 0), (1, 0, 0, 12), (1, 0, 1, 11), (1, 0, 2, 10), (1, 0, 3, 9), (1, 0, 4, 8), (1, 0, 5, 7), (1, 0, 6, 6), (1, 0, 7, 5), (1, 0, 8, 4), (1 , 0, 9, 3), (1, 0, 10, 2), (1, 0, 11, 1), (1, 0, 12, 0), (1, 1, 0, 11), (1, 1, 1, 10), (1, 1, 2, 9), ( 1, 1, 3, 8), (1, 1, 4, 7), (1, 1, 5, 6), (1, 1, 6, 5), (1, 1, 7, 4), (1, 1, 8, 3), (1, 1, 9, 2), (1, 1 , 10, 1), (1, 1, 11, 0), (1, 2, 0, 10), (1, 2, 1, 9), (1, 2, 2, 8), (1, 2, 3, 7), (1, 2, 4, 6), (1, 2, 5, 5), (1, 2, 6, 4), (1, 2, 7, 3), (1, 2, 8, 2), (1, 2, 9, 1), (1, 2, 10, 0), (1, 3, 0, 9), (1, 3, 1, 8), (1, 3, 2, 7), (1, 3, 3, 6), (1, 3, 4, 5), (1, 3, 5, 4), (1, 3, 6, 3), (1, 3, 7, 2), (1, 3, 8, 1), (1, 3, 9, 0), (1, 4, 0, 8), (1, 4, 1, 7), (1, 4, 2, 6), (1, 4, 3, 5), (1, 4, 4, 4), (1, 4, 5, 3), (1, 4, 6, 2), (1, 4, 7, 1), (1, 4, 8, 0), (1, 5, 0, 7), (1, 5, 1, 6), (1, 5, 2, 5), (1, 5, 3, 4), (1, 5, 4, 3), (1, 5, 5, 2), (1, 5, 6, 1), (1, 5, 7, 0), (1, 6, 0, 6), (1, 6, 1, 5), (1, 6, 2, 4), (1, 6, 3, 3 ), (1, 6, 4, 2), (1, 6, 5, 1), (1, 6, 6, 0), (1, 7, 0, 5), (1, 7, 1, 4), (1, 7, 2, 3), (1, 7, 3, 2), ( 1, 7, 4, 1), (1, 7, 5, 0), (1, 8, 0, 4), (1, 8, 1, 3), (1, 8, 2, 2), (1, 8, 3, 1), (1, 8, 4, 0), (1, 9 , 0, 3), (1, 9, 1, 2), (1, 9, 2, 1), (1, 9, 3, 0), (1, 10, 0, 2), (1, 10, 1, 1), (1, 10, 2, 0), (1, 11 , 0, 1), (1, 11, 1, 0), (1, 12, 0, 0), (2, 0, 0, 11), (2, 0, 1, 10), (2, 0, 2, 9), (2, 0, 3, 8), (2, 0 , 4, 7), (2, 0, 5, 6), (2, 0, 6, 5), (2, 0, 7, 4), (2, 0, 8, 3), (2, 0, 9, 2), (2, 0, 10, 1), (2, 0, 1 1, 0), (2, 1, 0, 10), (2, 1, 1, 9), (2, 1, 2, 8), (2, 1, 3, 7), (2, 1, 4, 6), (2, 1, 5, 5), (2, 1, 6, 4), (2, 1, 7, 3), (2, 1, 8, 2), (2, 1, 9, 1), (2, 1, 10, 0), (2, 2, 0, 9), (2, 2, 1, 8), (2, 2, 2, 7), (2, 2, 3, 6), (2, 2, 4, 5), (2, 2, 5, 4), (2, 2, 6, 3), (2, 2, 7, 2), (2, 2, 8, 1), (2, 2, 9, 0), (2, 3, 0, 8), (2, 3, 1, 7), (2, 3, 2, 6), (2, 3, 3, 5), (2, 3, 4, 4), (2, 3, 5, 3), (2, 3, 6, 2), (2, 3, 7, 1), (2, 3, 8, 0), (2, 4, 0, 7), (2, 4, 1, 6), (2, 4, 2, 5), (2, 4, 3, 4), (2, 4, 4, 3), (2, 4, 5, 2 ), (2, 4, 6, 1), (2, 4, 7, 0), (2, 5, 0, 6), (2, 5, 1, 5), (2, 5, 2, 4), (2, 5, 3, 3), (2, 5, 4, 2), ( 2, 5, 5, 1), (2, 5, 6, 0), (2, 6, 0, 5), (2, 6, 1, 4), (2, 6, 2, 3), (2, 6, 3, 2), (2, 6, 4, 1), (2, 6 , 5, 0), (2, 7, 0, 4), (2, 7, 1, 3), (2, 7, 2, 2), (2, 7, 3, 1), (2, 7, 4, 0), (2, 8, 0, 3), (2, 8, 1, 2), (2, 8, 2, 1), (2, 8, 3, 0), (2, 9, 0, 2), (2, 9, 1, 1), (2, 9, 2, 0), (2, 10, 0, 1), (2, 10, 1, 0 ), (2, 11, 0, 0), (3, 0, 0, 10), (3, 0, 1, 9), (3, 0, 2, 8), (3, 0, 3, 7), (3, 0, 4, 6), (3, 0, 5, 5), (3, 0, 6, 4), (3, 0, 7, 3), (3, 0, 8, 2), (3, 0, 9, 1), (3, 0, 10, 0), (3, 1, 0, 9), (3, 1, 1, 8), (3 , 1, 2, 7), (3, 1, 3, 6), (3, 1, 4, 5), (3, 1, 5, 4), (3, 1, 6, 3), (3, 1, 7, 2), (3, 1, 8, 1), (3, 1, 9, 0), (3, 2, 0, 8), (3, 2, 1, 7), (3, 2, 2, 6), (3, 2, 3, 5), (3, 2, 4, 4), (3, 2, 5, 3), (3, 2, 6, 2), (3, 2, 7, 1), (3, 2, 8, 0), (3, 3, 0, 7), (3, 3, 1, 6), (3, 3, 2, 5), (3, 3, 3, 4), (3, 3, 4, 3), (3, 3, 5, 2), (3, 3, 6, 1), (3, 3, 7, 0), (3, 4, 0, 6), (3, 4, 1, 5), (3, 4, 2, 4), (3, 4, 3, 3), (3, 4, 4, 2), (3, 4, 5, 1), (3, 4, 6, 0), (3, 5, 0, 5), (3, 5, 1, 4), (3, 5, 2, 3), (3, 5, 3, 2), (3, 5, 4 , 1), (3, 5, 5, 0), (3, 6, 0, 4), (3, 6, 1, 3), (3, 6, 2, 2), (3, 6, 3, 1), (3, 6, 4, 0), (3, 7, 0, 3) , (3, 7, 1, 2), (3, 7, 2, 1), (3, 7, 3, 0), (3, 8, 0, 2), (3, 8, 1, 1), (3, 8, 2, 0), (3, 9, 0, 1), (3 , 9, 1, 0), (3, 10, 0, 0), (4, 0, 0, 9), (4, 0, 1, 8), (4, 0, 2, 7), (4, 0, 3, 6), (4, 0, 4, 5), (4, 0 , 5, 4), (4, 0, 6, 3), (4, 0, 7, 2), (4, 0, 8, 1), (4, 0, 9, 0), (4, 1, 0, 8), (4, 1, 1, 7), (4, 1, 2, 6), (4, 1, 3, 5), (4, 1, 4, 4), (4, 1, 5, 3), (4, 1, 6, 2), (4, 1, 7, 1), (4, 1, 8, 0), (4, 2, 0, 7), (4, 2, 1, 6), (4, 2, 2, 5), (4, 2, 3, 4), (4, 2, 4, 3), (4, 2, 5, 2), (4, 2, 6, 1), (4, 2, 7, 0), (4, 3, 0, 6), (4, 3, 1, 5), (4, 3, 2, 4), (4, 3, 3, 3), (4, 3, 4, 2), (4, 3, 5, 1), (4, 3, 6, 0), (4, 4, 0, 5), (4, 4, 1, 4), (4, 4, 2, 3), (4, 4, 3, 2), (4, 4, 4, 1), (4, 4, 5, 0), (4, 5, 0, 4), (4, 5, 1, 3 ), (4, 5, 2, 2), (4, 5, 3, 1), (4, 5, 4, 0), (4, 6, 0, 3), (4, 6, 1, 2), (4, 6, 2, 1), (4, 6, 3, 0), ( 4, 7, 0, 2), (4, 7, 1, 1), (4, 7, 2, 0), (4, 8, 0, 1), (4, 8, 1, 0), (4, 9, 0, 0), (5, 0, 0, 8), (5, 0 , 1, 7), (5, 0, 2, 6), (5, 0, 3, 5), (5, 0, 4, 4), (5, 0, 5, 3), (5, 0, 6, 2), (5, 0, 7, 1), (5, 0, 8, 0), (5, 1, 0, 7), (5, 1, 1, 6), (5, 1, 2, 5), (5, 1, 3, 4), (5, 1, 4, 3), (5, 1, 5, 2), (5, 1, 6, 1), (5, 1, 7, 0), (5, 2, 0, 6), (5, 2, 1, 5), (5, 2, 2, 4), (5, 2, 3, 3), (5, 2, 4, 2), (5, 2, 5, 1), (5, 2, 6, 0), (5, 3, 0, 5), (5, 3, 1, 4), (5, 3, 2, 3), (5, 3, 3, 2), (5, 3, 4, 1), (5, 3, 5, 0), (5, 4, 0, 4), (5, 4, 1, 3), (5, 4, 2, 2), (5, 4, 3, 1), (5, 4, 4, 0), (5, 5, 0, 3), (5, 5, 1, 2), (5, 5, 2, 1 ), (5, 5, 3, 0), (5, 6, 0, 2), (5, 6, 1, 1), (5, 6, 2, 0), (5, 7, 0, 1), (5, 7, 1, 0), (5, 8, 0, 0), ( 6, 0, 0, 7), (6, 0, 1, 6), (6, 0, 2, 5), (6, 0, 3, 4), (6, 0, 4, 3), (6, 0, 5, 2), (6, 0, 6, 1), (6, 0 , 7, 0), (6, 1, 0, 6), (6, 1, 1, 5), (6, 1, 2, 4), (6, 1, 3, 3), (6, 1, 4, 2), (6, 1, 5, 1), (6, 1, 6, 0), (6, 2, 0, 5), (6, 2, 1, 4), (6, 2, 2, 3), (6, 2, 3, 2), (6, 2, 4, 1), (6, 2, 5, 0), (6, 3, 0, 4), (6, 3, 1, 3), (6, 3, 2, 2), (6, 3, 3, 1), (6, 3, 4, 0), (6, 4, 0, 3), (6, 4, 1, 2), (6, 4, 2, 1), (6, 4, 3, 0), (6, 5, 0, 2), (6, 5, 1, 1), (6, 5, 2, 0), (6, 6, 0, 1), (6, 6, 1, 0), (6, 7, 0, 0), (7, 0, 0, 6), (7, 0, 1, 5), (7, 0, 2, 4), (7, 0, 3, 3), (7, 0, 4, 2), (7, 0, 5, 1), (7, 0, 6, 0), (7, 1, 0, 5 ), (7, 1, 1, 4), (7, 1, 2, 3), (7, 1, 3, 2), (7, 1, 4, 1), (7, 1, 5, 0), (7, 2, 0, 4), (7, 2, 1, 3), ( 7, 2, 2, 2), (7, 2, 3, 1), (7, 2, 4, 0), (7, 3, 0, 3), (7, 3, 1, 2), (7, 3, 2, 1), (7, 3, 3, 0), (7, 4 , 0, 2), (7, 4, 1, 1), (7, 4, 2, 0), (7, 5, 0, 1), (7, 5, 1, 0), (7, 6, 0, 0), (8, 0, 0, 5), (8, 0, 1, 4), (8, 0, 2, 3), (8, 0, 3, 2), (8, 0, 4, 1), (8, 0, 5, 0), (8, 1, 0, 4), (8, 1, 1, 3), (8, 1, 2, 2), (8, 1, 3, 1), (8, 1, 4, 0), (8, 2, 0, 3), (8, 2, 1, 2), (8, 2, 2, 1), (8, 2, 3, 0), (8, 3, 0, 2), (8, 3, 1, 1), (8, 3, 2, 0), (8, 4, 0, 1), (8, 4, 1, 0), (8, 5, 0, 0), (9, 0, 0, 4), (9, 0, 1, 3), (9, 0, 2, 2), (9, 0, 3, 1), (9, 0, 4, 0), (9, 1, 0, 3), (9, 1, 1, 2), (9, 1, 2, 1), (9, 1, 3, 0), (9, 2, 0, 2 ), (9, 2, 1, 1), (9, 2, 2, 0), (9, 3, 0, 1), (9, 3, 1, 0), (9, 4, 0, 0), (10, 0, 0, 3), (10, 0, 1, 2), (10, 0, 2, 1), (10, 0, 3, 0), (10, 1, 0, 2), (10, 1, 1, 1), (10, 1, 2, 0), (10, 2, 0, 1), (10, 2, 1, 0), (10, 3, 0, 0), (11, 0, 0, 2), (11, 0, 1, 1), (11, 0, 2, 0), (11, 1, 0, 1), (11, 1, 1, 0), (11, 2, 0, 0), (12, 0, 0, 1), (12, 0, 1, 0), (12, 1, 0, 0), (13, 0, 0, 0)]
Koliko rješenja u skupu $\mathbb{N}$ ima jednadžba $x_1+x_2+x_3+x_4=13$?
jed2=list(filter(lambda x: x[0]+x[1]+x[2]+x[3]==13, it.product(range(1,14),repeat=4)))
len(jed2)
DSTG.ispis(jed2,102)
[(1, 1, 1, 10), (1, 1, 2, 9), (1, 1, 3, 8), (1, 1, 4, 7), (1, 1, 5, 6), (1, 1, 6, 5), (1, 1, 7, 4), (1 , 1, 8, 3), (1, 1, 9, 2), (1, 1, 10, 1), (1, 2, 1, 9), (1, 2, 2, 8), (1, 2, 3, 7), (1, 2, 4, 6), (1, 2 , 5, 5), (1, 2, 6, 4), (1, 2, 7, 3), (1, 2, 8, 2), (1, 2, 9, 1), (1, 3, 1, 8), (1, 3, 2, 7), (1, 3, 3, 6), (1, 3, 4, 5), (1, 3, 5, 4), (1, 3, 6, 3), (1, 3, 7, 2), (1, 3, 8, 1), (1, 4, 1, 7), (1, 4, 2, 6), (1, 4, 3, 5), (1, 4, 4, 4), (1, 4, 5, 3), (1, 4, 6, 2), (1, 4, 7, 1), (1, 5, 1, 6), (1, 5, 2, 5), (1, 5, 3, 4), (1, 5, 4, 3), (1, 5, 5, 2), (1, 5, 6, 1), (1, 6, 1, 5), (1, 6, 2, 4), (1, 6, 3, 3), (1, 6, 4, 2), (1, 6, 5, 1), (1, 7, 1, 4), (1, 7, 2, 3), (1, 7, 3, 2), (1, 7, 4, 1), (1, 8, 1, 3), (1, 8, 2, 2 ), (1, 8, 3, 1), (1, 9, 1, 2), (1, 9, 2, 1), (1, 10, 1, 1), (2, 1, 1, 9), (2, 1, 2, 8), (2, 1, 3, 7), (2, 1, 4, 6), (2, 1, 5, 5), (2, 1, 6, 4), (2, 1, 7, 3), (2, 1, 8, 2), (2, 1, 9, 1), (2, 2, 1, 8), (2, 2, 2, 7), (2, 2, 3, 6), (2, 2, 4, 5), (2, 2, 5, 4), (2, 2, 6, 3), (2, 2, 7, 2), (2, 2, 8, 1), (2, 3, 1 , 7), (2, 3, 2, 6), (2, 3, 3, 5), (2, 3, 4, 4), (2, 3, 5, 3), (2, 3, 6, 2), (2, 3, 7, 1), (2, 4, 1, 6) , (2, 4, 2, 5), (2, 4, 3, 4), (2, 4, 4, 3), (2, 4, 5, 2), (2, 4, 6, 1), (2, 5, 1, 5), (2, 5, 2, 4), (2 , 5, 3, 3), (2, 5, 4, 2), (2, 5, 5, 1), (2, 6, 1, 4), (2, 6, 2, 3), (2, 6, 3, 2), (2, 6, 4, 1), (2, 7, 1, 3), (2, 7, 2, 2), (2, 7, 3, 1), (2, 8, 1, 2), (2, 8, 2, 1), (2, 9, 1, 1), (3, 1, 1, 8), (3, 1, 2, 7), (3, 1, 3, 6), (3, 1, 4, 5), (3, 1, 5, 4), (3, 1, 6, 3), (3, 1, 7, 2), (3, 1, 8, 1), (3, 2, 1, 7), (3, 2, 2, 6), (3, 2, 3, 5), (3, 2, 4, 4), (3, 2, 5, 3), (3, 2, 6, 2), (3, 2, 7, 1), (3, 3, 1, 6), (3, 3, 2, 5), (3, 3, 3, 4), (3, 3, 4, 3), (3, 3, 5, 2), (3, 3, 6, 1), (3, 4, 1, 5), (3, 4, 2, 4), (3, 4, 3 , 3), (3, 4, 4, 2), (3, 4, 5, 1), (3, 5, 1, 4), (3, 5, 2, 3), (3, 5, 3, 2), (3, 5, 4, 1), (3, 6, 1, 3) , (3, 6, 2, 2), (3, 6, 3, 1), (3, 7, 1, 2), (3, 7, 2, 1), (3, 8, 1, 1), (4, 1, 1, 7), (4, 1, 2, 6), (4 , 1, 3, 5), (4, 1, 4, 4), (4, 1, 5, 3), (4, 1, 6, 2), (4, 1, 7, 1), (4, 2, 1, 6), (4, 2, 2, 5), (4, 2, 3, 4), (4, 2, 4, 3), (4, 2, 5, 2), (4, 2, 6, 1), (4, 3, 1, 5), (4, 3, 2, 4), (4, 3, 3, 3), (4, 3, 4, 2), (4, 3, 5, 1), (4, 4, 1, 4), (4, 4, 2, 3), (4, 4, 3, 2), (4, 4, 4, 1), (4, 5, 1, 3), (4, 5, 2, 2), (4, 5, 3, 1), (4, 6, 1, 2), (4, 6, 2, 1), (4, 7, 1, 1), (5, 1, 1, 6), (5, 1, 2, 5), (5, 1, 3, 4), (5, 1, 4, 3), (5, 1, 5, 2), (5, 1, 6, 1), (5, 2, 1, 5), (5, 2, 2, 4), (5, 2, 3, 3), (5, 2, 4, 2), (5, 2, 5 , 1), (5, 3, 1, 4), (5, 3, 2, 3), (5, 3, 3, 2), (5, 3, 4, 1), (5, 4, 1, 3), (5, 4, 2, 2), (5, 4, 3, 1) , (5, 5, 1, 2), (5, 5, 2, 1), (5, 6, 1, 1), (6, 1, 1, 5), (6, 1, 2, 4), (6, 1, 3, 3), (6, 1, 4, 2), (6 , 1, 5, 1), (6, 2, 1, 4), (6, 2, 2, 3), (6, 2, 3, 2), (6, 2, 4, 1), (6, 3, 1, 3), (6, 3, 2, 2), (6, 3, 3, 1), (6, 4, 1, 2), (6, 4, 2, 1), (6, 5, 1, 1), (7, 1, 1, 4), (7, 1, 2, 3), (7, 1, 3, 2), (7, 1, 4, 1), (7, 2, 1, 3), (7, 2, 2, 2), (7, 2, 3, 1), (7, 3, 1, 2), (7, 3, 2, 1), (7, 4, 1, 1), (8, 1, 1, 3), (8, 1, 2, 2), (8, 1, 3, 1), (8, 2, 1, 2), (8, 2, 2, 1), (8, 3, 1, 1), (9, 1, 1, 2), (9, 1, 2, 1), (9, 2, 1, 1), (10, 1, 1, 1)]
Koliko ima nenegativnih cjelobrojnih rješenja jednadžba $x_1+x_2+x_3+x_4=13$ pri čemu je $x_1\geq8$?
jed3=list(filter(lambda x: x[0]+x[1]+x[2]+x[3]==13 and x[0]>=8, it.product(range(14),repeat=4)))
len(jed3)
DSTG.ispis(jed3,84)
[(8, 0, 0, 5), (8, 0, 1, 4), (8, 0, 2, 3), (8, 0, 3, 2), (8, 0, 4, 1), (8, 0, 5, 0), (8, 1, 0, 4), (8, 1, 1, 3), (8, 1, 2, 2), (8, 1, 3, 1), (8, 1, 4, 0), (8, 2, 0, 3), (8, 2, 1, 2), (8, 2, 2, 1), (8, 2, 3, 0), (8, 3, 0, 2), (8, 3, 1, 1), (8, 3, 2, 0), (8, 4, 0, 1), (8, 4, 1, 0), (8, 5, 0, 0), (9, 0, 0, 4), (9, 0, 1, 3), (9, 0, 2, 2), (9, 0, 3, 1), (9, 0, 4, 0), (9, 1, 0, 3), (9, 1, 1, 2), (9, 1, 2, 1), (9, 1, 3, 0), (9, 2, 0, 2), (9, 2, 1, 1), (9, 2, 2, 0), (9, 3, 0, 1), (9, 3, 1, 0), (9, 4, 0, 0), (10, 0, 0, 3), (10, 0, 1, 2), (10, 0, 2, 1), (10, 0, 3, 0), (10, 1, 0, 2), (10, 1, 1, 1), (10, 1, 2, 0), (10, 2, 0, 1), (10, 2, 1, 0), (10, 3, 0, 0), (11, 0, 0, 2), (1 1, 0, 1, 1), (11, 0, 2, 0), (11, 1, 0, 1), (11, 1, 1, 0), (11, 2, 0, 0), (12, 0, 0, 1), (12, 0, 1, 0), (12, 1, 0, 0), (13, 0, 0, 0)]
Koliko ima prirodnih brojeva manjih od 1000 koji nisu djeljivi sa 7?
br7=list(filter(lambda x: x%7!=0, range(1,1000)))
len(br7)
DSTG.ispis(br7,107)
[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33 , 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 64, 6 5, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 120, 121, 122, 123, 124, 125, 127, 128, 129, 130, 131, 132, 134, 135, 136, 137, 138, 139, 141, 142, 143, 144, 145, 14 6, 148, 149, 150, 151, 152, 153, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 183, 184, 185, 186, 187, 188, 190, 191, 192, 193, 194, 195, 1 97, 198, 199, 200, 201, 202, 204, 205, 206, 207, 208, 209, 211, 212, 213, 214, 215, 216, 218, 219, 220, 221 , 222, 223, 225, 226, 227, 228, 229, 230, 232, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 244, 246, 247, 248, 249, 250, 251, 253, 254, 255, 256, 257, 258, 260, 261, 262, 263, 264, 265, 267, 268, 269, 270, 27 1, 272, 274, 275, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 288, 289, 290, 291, 292, 293, 295, 296, 297, 298, 299, 300, 302, 303, 304, 305, 306, 307, 309, 310, 311, 312, 313, 314, 316, 317, 318, 319, 320, 3 21, 323, 324, 325, 326, 327, 328, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 344, 345, 346 , 347, 348, 349, 351, 352, 353, 354, 355, 356, 358, 359, 360, 361, 362, 363, 365, 366, 367, 368, 369, 370, 372, 373, 374, 375, 376, 377, 379, 380, 381, 382, 383, 384, 386, 387, 388, 389, 390, 391, 393, 394, 395, 39 6, 397, 398, 400, 401, 402, 403, 404, 405, 407, 408, 409, 410, 411, 412, 414, 415, 416, 417, 418, 419, 421, 422, 423, 424, 425, 426, 428, 429, 430, 431, 432, 433, 435, 436, 437, 438, 439, 440, 442, 443, 444, 445, 4 46, 447, 449, 450, 451, 452, 453, 454, 456, 457, 458, 459, 460, 461, 463, 464, 465, 466, 467, 468, 470, 471 , 472, 473, 474, 475, 477, 478, 479, 480, 481, 482, 484, 485, 486, 487, 488, 489, 491, 492, 493, 494, 495, 496, 498, 499, 500, 501, 502, 503, 505, 506, 507, 508, 509, 510, 512, 513, 514, 515, 516, 517, 519, 520, 52 1, 522, 523, 524, 526, 527, 528, 529, 530, 531, 533, 534, 535, 536, 537, 538, 540, 541, 542, 543, 544, 545, 547, 548, 549, 550, 551, 552, 554, 555, 556, 557, 558, 559, 561, 562, 563, 564, 565, 566, 568, 569, 570, 5 71, 572, 573, 575, 576, 577, 578, 579, 580, 582, 583, 584, 585, 586, 587, 589, 590, 591, 592, 593, 594, 596 , 597, 598, 599, 600, 601, 603, 604, 605, 606, 607, 608, 610, 611, 612, 613, 614, 615, 617, 618, 619, 620, 621, 622, 624, 625, 626, 627, 628, 629, 631, 632, 633, 634, 635, 636, 638, 639, 640, 641, 642, 643, 645, 64 6, 647, 648, 649, 650, 652, 653, 654, 655, 656, 657, 659, 660, 661, 662, 663, 664, 666, 667, 668, 669, 670, 671, 673, 674, 675, 676, 677, 678, 680, 681, 682, 683, 684, 685, 687, 688, 689, 690, 691, 692, 694, 695, 6 96, 697, 698, 699, 701, 702, 703, 704, 705, 706, 708, 709, 710, 711, 712, 713, 715, 716, 717, 718, 719, 720 , 722, 723, 724, 725, 726, 727, 729, 730, 731, 732, 733, 734, 736, 737, 738, 739, 740, 741, 743, 744, 745, 746, 747, 748, 750, 751, 752, 753, 754, 755, 757, 758, 759, 760, 761, 762, 764, 765, 766, 767, 768, 769, 77 1, 772, 773, 774, 775, 776, 778, 779, 780, 781, 782, 783, 785, 786, 787, 788, 789, 790, 792, 793, 794, 795, 796, 797, 799, 800, 801, 802, 803, 804, 806, 807, 808, 809, 810, 811, 813, 814, 815, 816, 817, 818, 820, 8 21, 822, 823, 824, 825, 827, 828, 829, 830, 831, 832, 834, 835, 836, 837, 838, 839, 841, 842, 843, 844, 845 , 846, 848, 849, 850, 851, 852, 853, 855, 856, 857, 858, 859, 860, 862, 863, 864, 865, 866, 867, 869, 870, 871, 872, 873, 874, 876, 877, 878, 879, 880, 881, 883, 884, 885, 886, 887, 888, 890, 891, 892, 893, 894, 89 5, 897, 898, 899, 900, 901, 902, 904, 905, 906, 907, 908, 909, 911, 912, 913, 914, 915, 916, 918, 919, 920, 921, 922, 923, 925, 926, 927, 928, 929, 930, 932, 933, 934, 935, 936, 937, 939, 940, 941, 942, 943, 944, 9 46, 947, 948, 949, 950, 951, 953, 954, 955, 956, 957, 958, 960, 961, 962, 963, 964, 965, 967, 968, 969, 970 , 971, 972, 974, 975, 976, 977, 978, 979, 981, 982, 983, 984, 985, 986, 988, 989, 990, 991, 992, 993, 995, 996, 997, 998, 999]
Izračunajte broj svih peteroznamenkastih brojeva koji:
zad11a=list(filter(lambda x: x[0]!=0 and x.count(9)>0, it.product(range(10),repeat=5)))
len(zad11a)
prvih 200 takvih brojeva
DSTG.ispis(list(map(int,(map(lambda x: int(''.join(map(str,x))), zad11a[0:200])))),84)
[10009, 10019, 10029, 10039, 10049, 10059, 10069, 10079, 10089, 10090, 10091, 10092, 10093, 10094, 10095, 10096, 10097, 10098, 10099, 10109, 10119, 10129, 10139, 10149, 10159, 10169, 10179, 10189, 10190, 10191, 10192, 10193, 10194, 10195, 10196, 10197, 10198, 10199, 10209, 10219, 10229, 10239, 10249, 10259, 10269, 10279, 10289, 10290, 10291, 10292, 10293, 10294, 10295, 10296, 10297, 10298, 10299, 10309, 10319, 10329, 10339, 10349, 10359, 10369, 10379, 10389, 10390, 10391, 10392, 10393, 10394, 10395, 10396, 10397, 10398, 10399, 10409, 10419, 10429, 10439, 10449, 10459, 10469, 10479, 10489, 10490, 10491, 10492, 10493, 10494, 10495, 10496, 10497, 10498, 10499, 10509, 10519, 10529, 10539, 10549, 10559, 10569, 10579, 10589, 10590, 10591, 10592, 10593, 10594, 10595, 10596, 10597, 10598, 10599, 10609, 10619, 10629, 10639, 10649, 10659, 10669, 10679, 10689, 10690, 10691, 10692, 10693, 10694, 10695, 10696, 10697, 10698, 10699, 10709, 10719, 10729, 10739, 10749, 10759, 10769, 10779, 10789, 10790, 10791, 10792, 10793, 10794, 10795, 10796, 10797, 10798, 10799, 10809, 10819, 10829, 10839, 10849, 10859, 10869, 10879, 10889, 10890, 10891, 10892, 10893, 10894, 10895, 10896, 10897, 10898, 10899, 10900, 10901, 10902, 10903, 10904, 10905, 10906, 10907, 10908, 10909, 10910, 10911, 10912, 10913, 10914, 10915, 10916, 10917, 10918, 10919, 10920, 10921, 10922, 10923, 10924, 10925, 10926, 10927, 10928]
spremanje svih takvih brojeva u datoteku
zad11a_br=map(int,(map(lambda x: int(''.join(map(str,x))), zad11a)))
dat=open('zad11a','w')
brojac=0
for x in zad11a_br:
brojac+=1
dat.write("%d, " % x)
if brojac%20==0:
dat.write(" \n")
dat.close()
zad11b=list(filter(lambda x: x[0]!=0 and (x.count(9)>0 or x.count(8)>0), it.product(range(10),repeat=5)))
len(zad11b)
prvih 200 takvih brojeva
DSTG.ispis(list(map(int,(map(lambda x: int(''.join(map(str,x))), zad11b[0:200])))),84)
[10008, 10009, 10018, 10019, 10028, 10029, 10038, 10039, 10048, 10049, 10058, 10059, 10068, 10069, 10078, 10079, 10080, 10081, 10082, 10083, 10084, 10085, 10086, 10087, 10088, 10089, 10090, 10091, 10092, 10093, 10094, 10095, 10096, 10097, 10098, 10099, 10108, 10109, 10118, 10119, 10128, 10129, 10138, 10139, 10148, 10149, 10158, 10159, 10168, 10169, 10178, 10179, 10180, 10181, 10182, 10183, 10184, 10185, 10186, 10187, 10188, 10189, 10190, 10191, 10192, 10193, 10194, 10195, 10196, 10197, 10198, 10199, 10208, 10209, 10218, 10219, 10228, 10229, 10238, 10239, 10248, 10249, 10258, 10259, 10268, 10269, 10278, 10279, 10280, 10281, 10282, 10283, 10284, 10285, 10286, 10287, 10288, 10289, 10290, 10291, 10292, 10293, 10294, 10295, 10296, 10297, 10298, 10299, 10308, 10309, 10318, 10319, 10328, 10329, 10338, 10339, 10348, 10349, 10358, 10359, 10368, 10369, 10378, 10379, 10380, 10381, 10382, 10383, 10384, 10385, 10386, 10387, 10388, 10389, 10390, 10391, 10392, 10393, 10394, 10395, 10396, 10397, 10398, 10399, 10408, 10409, 10418, 10419, 10428, 10429, 10438, 10439, 10448, 10449, 10458, 10459, 10468, 10469, 10478, 10479, 10480, 10481, 10482, 10483, 10484, 10485, 10486, 10487, 10488, 10489, 10490, 10491, 10492, 10493, 10494, 10495, 10496, 10497, 10498, 10499, 10508, 10509, 10518, 10519, 10528, 10529, 10538, 10539, 10548, 10549, 10558, 10559, 10568, 10569, 10578, 10579, 10580, 10581, 10582, 10583]
spremanje svih takvih brojeva u datoteku
zad11b_br=map(int,(map(lambda x: int(''.join(map(str,x))), zad11b)))
dat=open('zad11b','w')
brojac=0
for x in zad11b_br:
brojac+=1
dat.write("%d, " % x)
if brojac%20==0:
dat.write(" \n")
dat.close()
zad11c=list(filter(lambda x: x[0]!=0 and (x.count(9)>0 and x.count(8)>0), it.product(range(10),repeat=5)))
len(zad11c)
prvih 200 takvih brojeva
DSTG.ispis(list(map(int,(map(lambda x: int(''.join(map(str,x))), zad11c[0:200])))),84)
[10089, 10098, 10189, 10198, 10289, 10298, 10389, 10398, 10489, 10498, 10589, 10598, 10689, 10698, 10789, 10798, 10809, 10819, 10829, 10839, 10849, 10859, 10869, 10879, 10889, 10890, 10891, 10892, 10893, 10894, 10895, 10896, 10897, 10898, 10899, 10908, 10918, 10928, 10938, 10948, 10958, 10968, 10978, 10980, 10981, 10982, 10983, 10984, 10985, 10986, 10987, 10988, 10989, 10998, 11089, 11098, 11189, 11198, 11289, 11298, 11389, 11398, 11489, 11498, 11589, 11598, 11689, 11698, 11789, 11798, 11809, 11819, 11829, 11839, 11849, 11859, 11869, 11879, 11889, 11890, 11891, 11892, 11893, 11894, 11895, 11896, 11897, 11898, 11899, 11908, 11918, 11928, 11938, 11948, 11958, 11968, 11978, 11980, 11981, 11982, 11983, 11984, 11985, 11986, 11987, 11988, 11989, 11998, 12089, 12098, 12189, 12198, 12289, 12298, 12389, 12398, 12489, 12498, 12589, 12598, 12689, 12698, 12789, 12798, 12809, 12819, 12829, 12839, 12849, 12859, 12869, 12879, 12889, 12890, 12891, 12892, 12893, 12894, 12895, 12896, 12897, 12898, 12899, 12908, 12918, 12928, 12938, 12948, 12958, 12968, 12978, 12980, 12981, 12982, 12983, 12984, 12985, 12986, 12987, 12988, 12989, 12998, 13089, 13098, 13189, 13198, 13289, 13298, 13389, 13398, 13489, 13498, 13589, 13598, 13689, 13698, 13789, 13798, 13809, 13819, 13829, 13839, 13849, 13859, 13869, 13879, 13889, 13890, 13891, 13892, 13893, 13894, 13895, 13896, 13897, 13898, 13899, 13908, 13918, 13928]
spremanje svih takvih brojeva u datoteku
zad11c_br=map(int,(map(lambda x: int(''.join(map(str,x))), zad11c)))
dat=open('zad11c','w')
brojac=0
for x in zad11c_br:
brojac+=1
dat.write("%d, " % x)
if brojac%20==0:
dat.write(" \n")
dat.close()
Koliko ima brojeva od 1 do 1000 koji su djeljivi s 3, a nisu djeljivi niti s jednim od brojeva 2, 5 i 7?
zad12=list(filter(lambda x: x%3==0 and x%2!=0 and x%5!=0 and x%7!=0, range(1,1001)))
len(zad12)
DSTG.ispis(zad12,80)
[3, 9, 27, 33, 39, 51, 57, 69, 81, 87, 93, 99, 111, 117, 123, 129, 141, 153, 159 , 171, 177, 183, 201, 207, 213, 219, 237, 243, 249, 261, 267, 279, 291, 297, 303 , 309, 321, 327, 333, 339, 351, 363, 369, 381, 387, 393, 411, 417, 423, 429, 447 , 453, 459, 471, 477, 489, 501, 507, 513, 519, 531, 537, 543, 549, 561, 573, 579 , 591, 597, 603, 621, 627, 633, 639, 657, 663, 669, 681, 687, 699, 711, 717, 723 , 729, 741, 747, 753, 759, 771, 783, 789, 801, 807, 813, 831, 837, 843, 849, 867 , 873, 879, 891, 897, 909, 921, 927, 933, 939, 951, 957, 963, 969, 981, 993, 999 ]
Sympy može riješiti neke jednostavnije rekurzije.
a=sp.Function('a')
n=sp.Symbol('n')
x=sp.Symbol('x')
Niz $(a_n)$ zadan je rekurzivno s $a_1=\frac{3}{2},\ a_n=5a_{n-1}-1,\ n\geq2$. Napišite prvih 50 članova niza i pronađite formulu za opći član niza.
def niz(n):
xn=sp.Rational(3,2)
i=1
while i<=n:
yield xn
xn=5*xn-1
i+=1
DSTG.ispis(list(niz(50)),80)
[3/2, 13/2, 63/2, 313/2, 1563/2, 7813/2, 39063/2, 195313/2, 976563/2, 4882813/2, 24414063/2, 122070313/2, 610351563/2, 3051757813/2, 15258789063/2, 76293945313/ 2, 381469726563/2, 1907348632813/2, 9536743164063/2, 47683715820313/2, 238418579 101563/2, 1192092895507813/2, 5960464477539063/2, 29802322387695313/2, 149011611 938476563/2, 745058059692382813/2, 3725290298461914063/2, 18626451492309570313/2 , 93132257461547851563/2, 465661287307739257813/2, 2328306436538696289063/2, 116 41532182693481445313/2, 58207660913467407226563/2, 291038304567337036132813/2, 1 455191522836685180664063/2, 7275957614183425903320313/2, 36379788070917129516601 563/2, 181898940354585647583007813/2, 909494701772928237915039063/2, 45474735088 64641189575195313/2, 22737367544323205947875976563/2, 11368683772161602973937988 2813/2, 568434188608080148696899414063/2, 2842170943040400743484497070313/2, 142 10854715202003717422485351563/2, 71054273576010018587112426757813/2, 35527136788 0050092935562133789063/2, 1776356839400250464677810668945313/2, 8881784197001252 323389053344726563/2, 44408920985006261616945266723632813/2]
sp.rsolve(a(n+1)-5*a(n)-1, a(n),{a(1):sp.Rational(3,2)})
sp.rsolve(a(n+2)-4*a(n+1)+3*a(n),a(n),{a(1):1,a(2):7})
sp.rsolve(a(n)-a(n-1)-a(n-2),a(n),{a(0):0,a(1):1})
sp.rsolve(2*a(n+2)-a(n+1)-a(n)+2**n,a(n),{a(1):0,a(2):-1})
Na koliko je načina moguće razmjestiti 20 jednakih kuglica u 5 različitih kutija tako da u svakoj kutiji budu barem dvije, a najviše sedam kuglica?
izraz=sp.expand((x**2+x**3+x**4+x**5+x**6+x**7)**5)
izraz
izraz.coeff(x,20)
Koliko ima nenegativnih cjelobrojnih rješenja jednadžba $x_1+x_2+x_3+x_4=13$ pri čemu je $x_1\geq8$?
f1=sum([x**n for n in range(8,14)])
f2=sum([x**n for n in range(14)])
f1
f2
izraz2=sp.expand(f1*f2**3)
izraz2
izraz2.coeff(x,13)
Odredite funkciju izvodnicu za broj načina da se postigne suma $n$ pri bacanju deset različitih igraćih kocki. Izvedite iz te funkcije izvodnice funkciju izvodnicu za broj načina da se postigne parna suma, te izračunajte broj različitih načina dobivanja parne sume.
izraz3=(x+x**2+x**3+x**4+x**5+x**6)**10
sp.expand(izraz3)
izraz4=(izraz3+izraz3.subs(x,-x))/2
sp.expand(izraz4)
ukupni broj načina dobivanja parne sume
izraz4.subs(x,1)
Na koliko je načina moguće podijeliti 18 različitih igrački između troje djece tako da svako dijete dobije barem jednu igračku?
g1=sum([(x**n)/sp.factorial(n) for n in range(1,19)])
g1
g1na3=sp.expand(g1**3)
g1na3
ukupni broj načina
g1na3.coeff(x,18)*sp.factorial(18)
Na koliko je načina moguće podijeliti 18 različitih igrački između troje djece tako da svako dijete dobije barem dvije igračke, ali ne više od 6 igrački?
g2=sum([(x**n)/sp.factorial(n) for n in range(2,7)])
g2na3=sp.expand(g2**3)
g2na3
g2na3.coeff(x,18)*sp.factorial(18)