All The , 5, -continued fractions of Square-Roots of Positive Integers Up to,

    2499

                              By Shalosh B. Ekhad



The  square-roots of the following integers do not seem to have an umtimatel\

    y periodic,, 5, -continued fraction

                      judging by the first, 2000,  terms



[5, 7, 13, 23, 28, 32, 44, 45, 52, 53, 57, 58, 60, 61, 70, 71, 73, 75, 76, 77,
85, 88, 89, 92, 93, 94, 95, 97, 103, 107, 108, 109, 111, 112, 113, 118, 124, 
125, 127, 130, 133, 135, 136, 137, 151, 153, 155, 157, 158, 161, 162, 163, 172,
173, 176, 177, 178, 181, 185, 186, 187, 189, 190, 191, 193, 199, 202, 204, 205,
207, 208, 209, 211, 212, 213, 214, 215, 217, 218, 219, 229, 232, 233, 234, 236,
237, 238, 239, 241, 244, 245, 246, 248, 249, 251, 253, 262, 265, 267, 269, 270,
271, 273, 274, 275, 277, 278, 280, 281, 282, 292, 293, 296, 297, 298, 301, 303,
308, 309, 310, 312, 313, 315, 316, 317, 319, 331, 332, 335, 337, 340, 341, 343,
345, 346, 347, 348, 349, 350, 351, 352, 353, 355, 358, 367, 368, 369, 370, 372,
373, 374, 376, 378, 379, 381, 382, 383, 384, 385, 386, 387, 389, 390, 392, 393,
394, 397, 403, 406, 407, 409, 411, 412, 413, 414, 415, 416, 417, 418, 419, 421,
422, 423, 426, 427, 428, 429, 430, 431, 432, 433, 436, 445, 449, 450, 452, 453,
454, 457, 458, 459, 460, 461, 463, 464, 465, 466, 467, 468, 469, 470, 472, 473,
474, 475, 477, 478, 479, 481, 487, 490, 491, 492, 493, 496, 497, 499, 500, 501,
503, 507, 508, 509, 510, 511, 513, 514, 515, 517, 518, 519, 520, 521, 522, 523,
524, 526, 532, 533, 535, 537, 538, 541, 542, 543, 546, 547, 548, 549, 550, 553,
554, 555, 556, 557, 559, 562, 563, 564, 565, 567, 571, 583, 587, 589, 593, 594,
595, 597, 598, 599, 601, 602, 604, 605, 607, 608, 609, 610, 613, 614, 615, 617,
622, 628, 629, 631, 633, 634, 636, 637, 638, 641, 642, 643, 644, 645, 647, 649,
652, 653, 655, 657, 658, 659, 661, 663, 664, 665, 666, 667, 669, 670, 671, 673,
682, 683, 684, 685, 687, 688, 690, 691, 692, 693, 694, 695, 697, 698, 699, 703,
704, 705, 706, 707, 708, 709, 710, 711, 712, 715, 716, 717, 718, 719, 722, 724,
733, 736, 737, 740, 741, 742, 743, 745, 746, 748, 750, 751, 752, 753, 757, 758,
760, 761, 762, 763, 764, 765, 766, 767, 769, 771, 772, 773, 778, 781, 790, 793,
796, 797, 799, 800, 801, 802, 803, 805, 806, 807, 808, 809, 810, 811, 813, 815,
816, 817, 818, 821, 822, 823, 825, 826, 827, 828, 829, 830, 832, 835, 836, 838,
844, 845, 847, 848, 849, 850, 852, 853, 854, 857, 858, 859, 861, 863, 864, 865,
866, 867, 868, 869, 871, 872, 873, 875, 876, 879, 880, 882, 883, 884, 885, 886,
887, 888, 889, 891, 893, 907, 908, 909, 911, 913, 914, 917, 918, 919, 921, 922,
923, 924, 926, 927, 928, 929, 931, 932, 933, 934, 935, 936, 937, 939, 940, 941,
942, 943, 945, 946, 947, 949, 953, 954, 955, 958, 964, 965, 967, 968, 969, 970,
972, 974, 975, 976, 977, 978, 979, 981, 982, 983, 984, 988, 989, 991, 993, 997,
998, 999, 1002, 1003, 1004, 1005, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 
1015, 1017, 1018, 1019, 1021, 1027, 1030, 1031, 1033, 1035, 1036, 1037, 1039, 
1042, 1045, 1046, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1057, 1058, 1059, 
1061, 1063, 1065, 1066, 1067, 1068, 1069, 1070, 1072, 1073, 1075, 1076, 1077, 
1079, 1081, 1082, 1084, 1093, 1096, 1097, 1098, 1101, 1103, 1105, 1107, 1108, 
1109, 1112, 1113, 1114, 1115, 1116, 1117, 1121, 1123, 1124, 1125, 1127, 1128, 
1129, 1130, 1131, 1132, 1133, 1136, 1138, 1139, 1140, 1141, 1142, 1143, 1145, 
1146, 1147, 1149, 1150, 1151, 1153, 1159, 1162, 1163, 1164, 1165, 1168, 1169, 
1170, 1171, 1172, 1174, 1177, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 
1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1200, 1203, 1204, 1205, 1207, 
1208, 1210, 1211, 1212, 1213, 1214, 1216, 1217, 1219, 1222, 1228, 1229, 1231, 
1233, 1234, 1236, 1237, 1240, 1242, 1243, 1244, 1245, 1246, 1247, 1249, 1251, 
1252, 1253, 1255, 1256, 1258, 1259, 1261, 1262, 1263, 1265, 1266, 1267, 1268, 
1269, 1270, 1272, 1273, 1274, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 
1285, 1286, 1289, 1291, 1303, 1307, 1309, 1310, 1312, 1315, 1317, 1318, 1319, 
1321, 1322, 1323, 1324, 1325, 1327, 1328, 1329, 1330, 1331, 1333, 1334, 1335, 
1337, 1338, 1339, 1340, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 
1351, 1353, 1354, 1355, 1357, 1359, 1361, 1362, 1366, 1372, 1373, 1375, 1376, 
1380, 1381, 1382, 1384, 1385, 1386, 1388, 1389, 1390, 1392, 1394, 1395, 1396, 
1397, 1398, 1401, 1402, 1403, 1404, 1407, 1409, 1410, 1412, 1413, 1414, 1417, 
1418, 1421, 1422, 1423, 1424, 1425, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 
1434, 1435, 1437, 1438, 1439, 1441, 1447, 1450, 1451, 1452, 1453, 1455, 1456, 
1457, 1458, 1459, 1460, 1461, 1462, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 
1472, 1473, 1474, 1476, 1477, 1478, 1481, 1483, 1484, 1485, 1486, 1487, 1488, 
1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1500, 1501, 1502, 
1503, 1504, 1505, 1506, 1507, 1510, 1512, 1513, 1516, 1525, 1528, 1529, 1530, 
1532, 1533, 1537, 1539, 1541, 1542, 1543, 1545, 1546, 1548, 1549, 1550, 1552, 
1553, 1555, 1556, 1558, 1559, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 
1569, 1570, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1582, 1583, 
1584, 1585, 1588, 1591, 1593, 1594, 1597, 1603, 1606, 1607, 1609, 1611, 1612, 
1614, 1615, 1617, 1618, 1619, 1621, 1622, 1623, 1627, 1628, 1629, 1630, 1633, 
1634, 1636, 1637, 1639, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 
1651, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 
1665, 1667, 1668, 1669, 1670, 1673, 1674, 1675, 1676, 1684, 1685, 1687, 1688, 
1689, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1702, 1703, 1704, 1705, 
1706, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1717, 1718, 1721, 1723, 1724, 
1725, 1728, 1729, 1730, 1731, 1733, 1734, 1735, 1737, 1738, 1739, 1741, 1742, 
1743, 1744, 1746, 1747, 1748, 1749, 1753, 1754, 1759, 1772, 1773, 1775, 1777, 
1780, 1781, 1782, 1783, 1786, 1787, 1788, 1789, 1790, 1791, 1793, 1795, 1796, 
1797, 1798, 1800, 1801, 1802, 1804, 1807, 1808, 1809, 1810, 1812, 1813, 1814, 
1815, 1816, 1818, 1819, 1821, 1822, 1823, 1825, 1827, 1828, 1829, 1830, 1831, 
1832, 1833, 1835, 1836, 1837, 1838, 1840, 1841, 1842, 1843, 1844, 1846, 1852, 
1853, 1855, 1857, 1858, 1860, 1861, 1862, 1863, 1864, 1867, 1868, 1869, 1871, 
1872, 1873, 1874, 1875, 1877, 1878, 1879, 1881, 1882, 1883, 1884, 1886, 1887, 
1888, 1889, 1891, 1893, 1894, 1895, 1896, 1899, 1901, 1902, 1903, 1905, 1906, 
1907, 1908, 1909, 1910, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 
1921, 1922, 1923, 1924, 1926, 1927, 1929, 1933, 1939, 1942, 1943, 1945, 1948, 
1949, 1951, 1952, 1954, 1955, 1957, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 
1966, 1967, 1968, 1969, 1971, 1972, 1973, 1975, 1977, 1978, 1979, 1981, 1982, 
1984, 1985, 1987, 1988, 1989, 1990, 1992, 1993, 1994, 1996, 1997, 1998, 1999, 
2000, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2014, 2017, 2032, 2033, 
2036, 2038, 2039, 2041, 2042, 2044, 2047, 2048, 2049, 2053, 2056, 2057, 2058, 
2059, 2060, 2062, 2063, 2064, 2065, 2066, 2068, 2069, 2071, 2072, 2073, 2074, 
2077, 2078, 2080, 2082, 2083, 2084, 2086, 2087, 2088, 2089, 2091, 2092, 2093, 
2094, 2095, 2096, 2097, 2098, 2099, 2102, 2104, 2105, 2106, 2107, 2109, 2110, 
2111, 2113, 2119, 2122, 2123, 2124, 2125, 2127, 2128, 2129, 2130, 2131, 2132, 
2133, 2135, 2137, 2140, 2141, 2142, 2143, 2146, 2147, 2148, 2150, 2152, 2153, 
2154, 2155, 2157, 2158, 2159, 2160, 2161, 2163, 2164, 2165, 2166, 2167, 2169, 
2170, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2181, 2182, 2183, 2184, 
2185, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2197, 2198, 2200, 
2201, 2202, 2203, 2204, 2212, 2213, 2215, 2216, 2217, 2218, 2220, 2221, 2222, 
2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2233, 2234, 2236, 2237, 2238, 
2239, 2241, 2242, 2243, 2245, 2246, 2247, 2248, 2249, 2250, 2252, 2253, 2257, 
2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 
2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 
2284, 2285, 2286, 2287, 2290, 2291, 2293, 2295, 2297, 2299, 2311, 2313, 2315, 
2317, 2318, 2321, 2322, 2326, 2327, 2329, 2330, 2333, 2337, 2339, 2341, 2342, 
2343, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2353, 2354, 2355, 2356, 2357, 
2359, 2360, 2361, 2362, 2363, 2366, 2367, 2368, 2369, 2371, 2372, 2373, 2374, 
2375, 2376, 2377, 2379, 2380, 2381, 2382, 2383, 2385, 2386, 2388, 2389, 2391, 
2393, 2395, 2396, 2398, 2404, 2405, 2407, 2409, 2412, 2413, 2417, 2419, 2421, 
2422, 2423, 2424, 2425, 2426, 2428, 2429, 2430, 2431, 2433, 2435, 2437, 2438, 
2439, 2440, 2441, 2443, 2444, 2445, 2446, 2447, 2449, 2451, 2452, 2454, 2457, 
2458, 2460, 2462, 2463, 2464, 2465, 2466, 2468, 2469, 2470, 2473, 2474, 2475, 
2476, 2477, 2478, 2479, 2480, 2481, 2485, 2486, 2487, 2488, 2489, 2493, 2494, 
2497]


 Among those that do, the largest period is the square-root of, 1726,

    whose period is, 38

                        Here are all the successful ones

                           2, : , [[1, 12], [70, 14]]

                        3, : , [[1, 6], [6, 215, 6, 7]]

                                  5, : , FAIL

                           6, : , [[2, 11], [40, 12]]

                                  7, : , FAIL

                           8, : , [[2, 6], [140, 7]]

                             10, : , [[3], [30, 6]]

                             11, : , [[3], [15, 6]]

                             12, : , [[3], [10, 6]]

                                  13, : , FAIL

                               14, : , [[3], [6]]

                             15, : , [[3], [5, 6]]

                             17, : , [[4], [40, 8]]

                             18, : , [[4], [20, 8]]

                         19, : , [[4], [13, 5, 13, 8]]

                             20, : , [[4], [10, 8]]

                               21, : , [[4], [8]]

                          22, : , [[4], [7, 20, 7, 8]]

                                  23, : , FAIL

                             24, : , [[4], [5, 8]]

                            26, : , [[5], [50, 10]]

                            27, : , [[5], [25, 10]]

                                  28, : , FAIL

                     29, : , [[5], [12, 5, 52, 5, 12, 10]]

                              30, : , [[5], [10]]

                  31, : , [[5], [8, 6, 25, 278, 25, 6, 8, 10]]

                                  32, : , FAIL

                   33, : , [[5], [6, 6, 5, 94, 5, 6, 6, 10]]

                         34, : , [[5], [6, 290, 6, 10]]

                             35, : , [[5], [5, 10]]

                            37, : , [[6], [60, 12]]

                            38, : , [[6], [30, 12]]

                            39, : , [[6], [20, 12]]

                            40, : , [[6], [15, 12]]

                              41, : , [[6], [12]]

                            42, : , [[6], [10, 12]]

                      43, : , [[6], [8, 5, 31, 5, 8, 12]]

                                  44, : , FAIL

                                  45, : , FAIL

                             46, : , [[6], [6, 12]]

                          47, : , [[6], [5, 5, 5, 12]]

                             48, : , [[6], [5, 12]]

                            50, : , [[7], [70, 14]]

                            51, : , [[7], [35, 14]]

                                  52, : , FAIL

                                  53, : , FAIL

                              54, : , [[7], [14]]

                        55, : , [[7], [12, 370, 12, 14]]

                            56, : , [[7], [10, 14]]

                                  57, : , FAIL

                                  58, : , FAIL

                             59, : , [[7], [7, 14]]

                                  60, : , FAIL

                                  61, : , FAIL

                          62, : , [[7], [5, 6, 5, 14]]

                             63, : , [[7], [5, 14]]

                            65, : , [[8], [80, 16]]

                            66, : , [[8], [40, 16]]

                     67, : , [[8], [26, 5, 39, 5, 26, 16]]

                            68, : , [[8], [20, 16]]

                              69, : , [[8], [16]]

                                  70, : , FAIL

                                  71, : , FAIL

                            72, : , [[8], [10, 16]]

                                  73, : , FAIL

                             74, : , [[8], [8, 16]]

                                  75, : , FAIL

                                  76, : , FAIL

                                  77, : , FAIL

                         78, : , [[8], [6, 440, 6, 16]]

                          79, : , [[8], [5, 7, 5, 16]]

                             80, : , [[8], [5, 16]]

                            82, : , [[9], [90, 18]]

                            83, : , [[9], [45, 18]]

                            84, : , [[9], [30, 18]]

                                  85, : , FAIL

                              86, : , [[9], [18]]

                            87, : , [[9], [15, 18]]

                                  88, : , FAIL

                                  89, : , FAIL

                            90, : , [[9], [10, 18]]

                             91, : , [[9], [9, 18]]

                                  92, : , FAIL

                                  93, : , FAIL

                                  94, : , FAIL

                                  95, : , FAIL

                             96, : , [[9], [6, 18]]

                                  97, : , FAIL

                          98, : , [[9], [5, 8, 5, 18]]

                             99, : , [[9], [5, 18]]

                           101, : , [[10], [100, 20]]

                           102, : , [[10], [50, 20]]

                                 103, : , FAIL

                           104, : , [[10], [25, 20]]

                             105, : , [[10], [20]]

            106, : , [[10], [16, 5, 10, 10, 102, 10, 10, 5, 16, 20]]

                                 107, : , FAIL

                                 108, : , FAIL

                                 109, : , FAIL

                           110, : , [[10], [10, 20]]

                                 111, : , FAIL

                                 112, : , FAIL

                                 113, : , FAIL

                 114, : , [[10], [7, 12, 5, 532, 5, 12, 7, 20]]

                      115, : , [[10], [6, 5, 9, 5, 6, 20]]

                    116, : , [[10], [6, 10, 26, 10, 6, 20]]

                        117, : , [[10], [6, 40, 6, 20]]

                                 118, : , FAIL

                         119, : , [[10], [5, 9, 5, 20]]

                            120, : , [[10], [5, 20]]

                           122, : , [[11], [110, 22]]

                           123, : , [[11], [55, 22]]

                                 124, : , FAIL

                                 125, : , FAIL

                             126, : , [[11], [22]]

                                 127, : , FAIL

                        128, : , [[11], [15, 5, 15, 22]]

                    129, : , [[11], [13, 5, 36, 5, 13, 22]]

                                 130, : , FAIL

                           131, : , [[11], [11, 22]]

                           132, : , [[11], [10, 22]]

                                 133, : , FAIL

                  134, : , [[11], [8, 7, 15, 8, 15, 7, 8, 22]]

                                 135, : , FAIL

                                 136, : , FAIL

                                 137, : , FAIL

                     138, : , [[11], [6, 7, 20, 7, 6, 22]]

             139, : , [[11], [6, 15, 38, 5, 57, 5, 38, 15, 6, 22]]

                        140, : , [[11], [6, 590, 6, 22]]

                         141, : , [[11], [5, 6, 5, 22]]

                        142, : , [[11], [5, 10, 5, 22]]

                            143, : , [[11], [5, 22]]

                           145, : , [[12], [120, 24]]

                           146, : , [[12], [60, 24]]

                           147, : , [[12], [40, 24]]

                           148, : , [[12], [30, 24]]

                             149, : , [[12], [24]]

                           150, : , [[12], [20, 24]]

                                 151, : , FAIL

                           152, : , [[12], [15, 24]]

                                 153, : , FAIL

                           154, : , [[12], [12, 24]]

                                 155, : , FAIL

                           156, : , [[12], [10, 24]]

                                 157, : , FAIL

                                 158, : , FAIL

                            159, : , [[12], [8, 24]]

           160, : , [[12], [7, 7, 43, 5, 8, 157, 8, 5, 43, 7, 7, 24]]

                                 161, : , FAIL

                                 162, : , FAIL

                                 163, : , FAIL

                            164, : , [[12], [6, 24]]

                     165, : , [[12], [5, 5, 10, 5, 5, 24]]

                       166, : , [[12], [5, 7, 7, 5, 24]]

                        167, : , [[12], [5, 11, 5, 24]]

                            168, : , [[12], [5, 24]]

                           170, : , [[13], [130, 26]]

                           171, : , [[13], [65, 26]]

                                 172, : , FAIL

                                 173, : , FAIL

                             174, : , [[13], [26]]

                 175, : , [[13], [21, 5, 6, 660, 6, 5, 21, 26]]

                                 176, : , FAIL

                                 177, : , FAIL

                                 178, : , FAIL

                           179, : , [[13], [13, 26]]

                       180, : , [[13], [12, 670, 12, 26]]

                                 181, : , FAIL

                           182, : , [[13], [10, 26]]

                        183, : , [[13], [9, 10, 9, 26]]

                      184, : , [[13], [8, 5, 5, 5, 8, 26]]

                                 185, : , FAIL

                                 186, : , FAIL

                                 187, : , FAIL

                        188, : , [[13], [7, 170, 7, 26]]

                                 189, : , FAIL

                                 190, : , FAIL

                                 191, : , FAIL

                         192, : , [[13], [5, 5, 5, 26]]

                                 193, : , FAIL

                        194, : , [[13], [5, 12, 5, 26]]

                            195, : , [[13], [5, 26]]

                           197, : , [[14], [140, 28]]

                           198, : , [[14], [70, 28]]

                                 199, : , FAIL

                           200, : , [[14], [35, 28]]

                             201, : , [[14], [28]]

                                 202, : , FAIL

                           203, : , [[14], [20, 28]]

                                 204, : , FAIL

                                 205, : , FAIL

                           206, : , [[14], [14, 28]]

                                 207, : , FAIL

                                 208, : , FAIL

                                 209, : , FAIL

                           210, : , [[14], [10, 28]]

                                 211, : , FAIL

                                 212, : , FAIL

                                 213, : , FAIL

                                 214, : , FAIL

                                 215, : , FAIL

                            216, : , [[14], [7, 28]]

                                 217, : , FAIL

                                 218, : , FAIL

                                 219, : , FAIL

                        220, : , [[14], [6, 740, 6, 28]]

                     221, : , [[14], [5, 6, 10, 6, 5, 28]]

                         222, : , [[14], [5, 8, 5, 28]]

                        223, : , [[14], [5, 13, 5, 28]]

                            224, : , [[14], [5, 28]]

                           226, : , [[15], [150, 30]]

                           227, : , [[15], [75, 30]]

                           228, : , [[15], [50, 30]]

                                 229, : , FAIL

                             230, : , [[15], [30]]

                           231, : , [[15], [25, 30]]

                                 232, : , FAIL

                                 233, : , FAIL

                                 234, : , FAIL

                           235, : , [[15], [15, 30]]

                                 236, : , FAIL

                                 237, : , FAIL

                                 238, : , FAIL

                                 239, : , FAIL

                           240, : , [[15], [10, 30]]

                                 241, : , FAIL

                     242, : , [[15], [8, 5, 76, 5, 8, 30]]

                    243, : , [[15], [8, 10, 77, 10, 8, 30]]

                                 244, : , FAIL

                                 245, : , FAIL

                                 246, : , FAIL

247, : ,

    [[15], [6, 5, 51, 9, 10, 18, 21, 25, 103, 25, 21, 18, 10, 9, 51, 5, 6, 30]]

                                 248, : , FAIL

                                 249, : , FAIL

                            250, : , [[15], [6, 30]]

                                 251, : , FAIL

                         252, : , [[15], [5, 6, 5, 30]]

                                 253, : , FAIL

                        254, : , [[15], [5, 14, 5, 30]]

                            255, : , [[15], [5, 30]]

                           257, : , [[16], [160, 32]]

                           258, : , [[16], [80, 32]]

                   259, : , [[16], [53, 10, 22, 10, 53, 32]]

                           260, : , [[16], [40, 32]]

                             261, : , [[16], [32]]

                                 262, : , FAIL

                       263, : , [[16], [23, 405, 23, 32]]

                           264, : , [[16], [20, 32]]

                                 265, : , FAIL

                           266, : , [[16], [16, 32]]

                                 267, : , FAIL

         268, : , [[16], [13, 10, 19, 5, 53, 8, 53, 5, 19, 10, 13, 32]]

                                 269, : , FAIL

                                 270, : , FAIL

                                 271, : , FAIL

                           272, : , [[16], [10, 32]]

                                 273, : , FAIL

                                 274, : , FAIL

                                 275, : , FAIL

                            276, : , [[16], [8, 32]]

                                 277, : , FAIL

                                 278, : , FAIL

                        279, : , [[16], [7, 45, 7, 32]]

                                 280, : , FAIL

                                 281, : , FAIL

                                 282, : , FAIL

              283, : , [[16], [6, 63, 5, 8, 83, 8, 5, 63, 6, 32]]

           284, : , [[16], [5, 5, 6, 10, 23, 8, 23, 10, 6, 5, 5, 32]]

                     285, : , [[16], [5, 7, 10, 7, 5, 32]]

                    286, : , [[16], [5, 10, 16, 10, 5, 32]]

                        287, : , [[16], [5, 15, 5, 32]]

                            288, : , [[16], [5, 32]]

                           290, : , [[17], [170, 34]]

                           291, : , [[17], [85, 34]]

                                 292, : , FAIL

                                 293, : , FAIL

                             294, : , [[17], [34]]

                295, : , [[17], [28, 10, 11, 6, 11, 10, 28, 34]]

                                 296, : , FAIL

                                 297, : , FAIL

                                 298, : , FAIL

                           299, : , [[17], [17, 34]]

                        300, : , [[17], [15, 8, 15, 34]]

                                 301, : , FAIL

302, : , [[17], [13, 22, 10, 16, 5, 8, 333, 7, 5, 6, 24, 50, 7, 10, 5, 25, 14,

    25, 5, 10, 7, 50, 24, 6, 5, 7, 333, 8, 5, 16, 10, 22, 13, 34]]

                                 303, : , FAIL

                       304, : , [[17], [11, 10, 11, 34]]

                        305, : , [[17], [10, 6, 10, 34]]

                           306, : , [[17], [10, 34]]

             307, : , [[17], [9, 8, 10, 16, 87, 16, 10, 8, 9, 34]]

                                 308, : , FAIL

                                 309, : , FAIL

                                 310, : , FAIL

           311, : , [[17], [7, 5, 6, 6, 15, 17, 15, 6, 6, 5, 7, 34]]

                                 312, : , FAIL

                                 313, : , FAIL

                     314, : , [[17], [6, 5, 16, 5, 6, 34]]

                                 315, : , FAIL

                                 316, : , FAIL

                                 317, : , FAIL

                        318, : , [[17], [6, 890, 6, 34]]

                                 319, : , FAIL

                         320, : , [[17], [5, 7, 5, 34]]

                        321, : , [[17], [5, 10, 5, 34]]

                        322, : , [[17], [5, 16, 5, 34]]

                            323, : , [[17], [5, 34]]

                           325, : , [[18], [180, 36]]

                           326, : , [[18], [90, 36]]

                           327, : , [[18], [60, 36]]

                           328, : , [[18], [45, 36]]

                             329, : , [[18], [36]]

                           330, : , [[18], [30, 36]]

                                 331, : , FAIL

                                 332, : , FAIL

                           333, : , [[18], [20, 36]]

                           334, : , [[18], [18, 36]]

                                 335, : , FAIL

                           336, : , [[18], [15, 36]]

                                 337, : , FAIL

                    338, : , [[18], [12, 5, 182, 5, 12, 36]]

                           339, : , [[18], [12, 36]]

                                 340, : , FAIL

                                 341, : , FAIL

                           342, : , [[18], [10, 36]]

                                 343, : , FAIL

                            344, : , [[18], [9, 36]]

                                 345, : , FAIL

                                 346, : , FAIL

                                 347, : , FAIL

                                 348, : , FAIL

                                 349, : , FAIL

                                 350, : , FAIL

                                 351, : , FAIL

                                 352, : , FAIL

                                 353, : , FAIL

                            354, : , [[18], [6, 36]]

                                 355, : , FAIL

                      356, : , [[18], [5, 6, 8, 6, 5, 36]]

                     357, : , [[18], [5, 8, 10, 8, 5, 36]]

                                 358, : , FAIL

                        359, : , [[18], [5, 17, 5, 36]]

                            360, : , [[18], [5, 36]]

                           362, : , [[19], [190, 38]]

                           363, : , [[19], [95, 38]]

                 364, : , [[19], [63, 10, 6, 8, 6, 10, 63, 38]]

  365, : , [[19], [47, 7, 5, 11, 7, 22, 8, 23880, 8, 22, 7, 11, 5, 7, 47, 38]]

                             366, : , [[19], [38]]

                                 367, : , FAIL

                                 368, : , FAIL

                                 369, : , FAIL

                                 370, : , FAIL

                           371, : , [[19], [19, 38]]

                                 372, : , FAIL

                                 373, : , FAIL

                                 374, : , FAIL

                375, : , [[19], [13, 7, 40, 968, 40, 7, 13, 38]]

                                 376, : , FAIL

                       377, : , [[19], [12, 970, 12, 38]]

                                 378, : , FAIL

                                 379, : , FAIL

                           380, : , [[19], [10, 38]]

                                 381, : , FAIL

                                 382, : , FAIL

                                 383, : , FAIL

                                 384, : , FAIL

                                 385, : , FAIL

                                 386, : , FAIL

                                 387, : , FAIL

                388, : , [[19], [7, 30, 65, 10, 65, 30, 7, 38]]

                                 389, : , FAIL

                                 390, : , FAIL

                        391, : , [[19], [6, 10, 6, 38]]

                                 392, : , FAIL

                                 393, : , FAIL

                                 394, : , FAIL

                         395, : , [[19], [5, 6, 5, 38]]

                         396, : , [[19], [5, 8, 5, 38]]

                                 397, : , FAIL

                        398, : , [[19], [5, 18, 5, 38]]

                            399, : , [[19], [5, 38]]

                           401, : , [[20], [200, 40]]

                           402, : , [[20], [100, 40]]

                                 403, : , FAIL

                           404, : , [[20], [50, 40]]

                             405, : , [[20], [40]]

                                 406, : , FAIL

                                 407, : , FAIL

                           408, : , [[20], [25, 40]]

                                 409, : , FAIL

                           410, : , [[20], [20, 40]]

                                 411, : , FAIL

                                 412, : , FAIL

                                 413, : , FAIL

                                 414, : , FAIL

                                 415, : , FAIL

                                 416, : , FAIL

                                 417, : , FAIL

                                 418, : , FAIL

                                 419, : , FAIL

                           420, : , [[20], [10, 40]]

                                 421, : , FAIL

                                 422, : , FAIL

                                 423, : , FAIL

             424, : , [[20], [8, 10, 5, 20, 51, 20, 5, 10, 8, 40]]

                            425, : , [[20], [8, 40]]

                                 426, : , FAIL

                                 427, : , FAIL

                                 428, : , FAIL

                                 429, : , FAIL

                                 430, : , FAIL

                                 431, : , FAIL

                                 432, : , FAIL

                                 433, : , FAIL

                       434, : , [[20], [6, 1040, 6, 40]]

                         435, : , [[20], [5, 5, 5, 40]]

                                 436, : , FAIL

                     437, : , [[20], [5, 9, 10, 9, 5, 40]]

                        438, : , [[20], [5, 12, 5, 40]]

                        439, : , [[20], [5, 19, 5, 40]]

                            440, : , [[20], [5, 40]]

                           442, : , [[21], [210, 42]]

                           443, : , [[21], [105, 42]]

                           444, : , [[21], [70, 42]]

                                 445, : , FAIL

                             446, : , [[21], [42]]

                           447, : , [[21], [35, 42]]

                           448, : , [[21], [30, 42]]

                                 449, : , FAIL

                                 450, : , FAIL

                           451, : , [[21], [21, 42]]

                                 452, : , FAIL

                                 453, : , FAIL

                                 454, : , FAIL

                           455, : , [[21], [15, 42]]

                           456, : , [[21], [14, 42]]

                                 457, : , FAIL

                                 458, : , FAIL

                                 459, : , FAIL

                                 460, : , FAIL

                                 461, : , FAIL

                           462, : , [[21], [10, 42]]

                                 463, : , FAIL

                                 464, : , FAIL

                                 465, : , FAIL

                                 466, : , FAIL

                                 467, : , FAIL

                                 468, : , FAIL

                                 469, : , FAIL

                                 470, : , FAIL

                            471, : , [[21], [7, 42]]

                                 472, : , FAIL

                                 473, : , FAIL

                                 474, : , FAIL

                                 475, : , FAIL

                            476, : , [[21], [6, 42]]

                                 477, : , FAIL

                                 478, : , FAIL

                                 479, : , FAIL

                         480, : , [[21], [5, 9, 5, 42]]

                                 481, : , FAIL

                        482, : , [[21], [5, 20, 5, 42]]

                            483, : , [[21], [5, 42]]

                           485, : , [[22], [220, 44]]

                           486, : , [[22], [110, 44]]

                                 487, : , FAIL

                           488, : , [[22], [55, 44]]

                             489, : , [[22], [44]]

                                 490, : , FAIL

                                 491, : , FAIL

                                 492, : , FAIL

                                 493, : , FAIL

                           494, : , [[22], [22, 44]]

                           495, : , [[22], [20, 44]]

                                 496, : , FAIL

                                 497, : , FAIL

                    498, : , [[22], [15, 6, 110, 6, 15, 44]]

                                 499, : , FAIL

                                 500, : , FAIL

                                 501, : , FAIL

           502, : , [[22], [12, 14, 5, 14, 2800, 14, 5, 14, 12, 44]]

                                 503, : , FAIL

                           504, : , [[22], [11, 44]]

                        505, : , [[22], [10, 8, 10, 44]]

                           506, : , [[22], [10, 44]]

                                 507, : , FAIL

                                 508, : , FAIL

                                 509, : , FAIL

                                 510, : , FAIL

                                 511, : , FAIL

                 512, : , [[22], [7, 5, 31, 11, 31, 5, 7, 44]]

                                 513, : , FAIL

                                 514, : , FAIL

                                 515, : , FAIL

                     516, : , [[22], [6, 5, 74, 5, 6, 44]]

                                 517, : , FAIL

                                 518, : , FAIL

                                 519, : , FAIL

                                 520, : , FAIL

                                 521, : , FAIL

                                 522, : , FAIL

                                 523, : , FAIL

                                 524, : , FAIL

                    525, : , [[22], [5, 10, 10, 10, 5, 44]]

                                 526, : , FAIL

                        527, : , [[22], [5, 21, 5, 44]]

                            528, : , [[22], [5, 44]]

                           530, : , [[23], [230, 46]]

                           531, : , [[23], [115, 46]]

                                 532, : , FAIL

                                 533, : , FAIL

                             534, : , [[23], [46]]

                                 535, : , FAIL

                    536, : , [[23], [32, 5, 27, 5, 32, 46]]

                                 537, : , FAIL

                                 538, : , FAIL

                           539, : , [[23], [23, 46]]

                       540, : , [[23], [21, 290, 21, 46]]

                                 541, : , FAIL

                                 542, : , FAIL

                                 543, : , FAIL

                       544, : , [[23], [15, 11, 15, 46]]

                       545, : , [[23], [14, 10, 14, 46]]

                                 546, : , FAIL

                                 547, : , FAIL

                                 548, : , FAIL

                                 549, : , FAIL

                                 550, : , FAIL

                     551, : , [[23], [10, 8, 5, 8, 10, 46]]

                           552, : , [[23], [10, 46]]

                                 553, : , FAIL

                                 554, : , FAIL

                                 555, : , FAIL

                                 556, : , FAIL

                                 557, : , FAIL

                        558, : , [[23], [8, 130, 8, 46]]

                                 559, : , FAIL

                 560, : , [[23], [7, 9, 10, 73, 10, 9, 7, 46]]

                 561, : , [[23], [7, 16, 5, 34, 5, 16, 7, 46]]

                                 562, : , FAIL

                                 563, : , FAIL

                                 564, : , FAIL

                                 565, : , FAIL

            566, : , [[23], [6, 15, 10, 10, 118, 10, 10, 15, 6, 46]]

                                 567, : , FAIL

                       568, : , [[23], [6, 1190, 6, 46]]

                       569, : , [[23], [5, 5, 5, 5, 46]]

                         570, : , [[23], [5, 6, 5, 46]]

                                 571, : , FAIL

                        572, : , [[23], [5, 10, 5, 46]]

                        573, : , [[23], [5, 14, 5, 46]]

                        574, : , [[23], [5, 22, 5, 46]]

                            575, : , [[23], [5, 46]]

                           577, : , [[24], [240, 48]]

                           578, : , [[24], [120, 48]]

                           579, : , [[24], [80, 48]]

                           580, : , [[24], [60, 48]]

                             581, : , [[24], [48]]

                           582, : , [[24], [40, 48]]

                                 583, : , FAIL

                           584, : , [[24], [30, 48]]

 585, : , [[24], [26, 6, 10, 24, 22, 5, 26, 134, 26, 5, 22, 24, 10, 6, 26, 48]]

                           586, : , [[24], [24, 48]]

                                 587, : , FAIL

                           588, : , [[24], [20, 48]]

                                 589, : , FAIL

                       590, : , [[24], [17, 20, 17, 48]]

                           591, : , [[24], [16, 48]]

                           592, : , [[24], [15, 48]]

                                 593, : , FAIL

                                 594, : , FAIL

                                 595, : , FAIL

                           596, : , [[24], [12, 48]]

                                 597, : , FAIL

                                 598, : , FAIL

                                 599, : , FAIL

                           600, : , [[24], [10, 48]]

                                 601, : , FAIL

                                 602, : , FAIL

                     603, : , [[24], [8, 5, 121, 5, 8, 48]]

                                 604, : , FAIL

                                 605, : , FAIL

                            606, : , [[24], [8, 48]]

                                 607, : , FAIL

                                 608, : , FAIL

                                 609, : , FAIL

                                 610, : , FAIL

                     611, : , [[24], [6, 5, 23, 5, 6, 48]]

                612, : , [[24], [6, 6, 10, 1236, 10, 6, 6, 48]]

                                 613, : , FAIL

                                 614, : , FAIL

                                 615, : , FAIL

                            616, : , [[24], [6, 48]]

                                 617, : , FAIL

                     618, : , [[24], [5, 6, 40, 6, 5, 48]]

              619, : , [[24], [5, 7, 15, 5, 23, 5, 15, 7, 5, 48]]

                         620, : , [[24], [5, 8, 5, 48]]

                    621, : , [[24], [5, 11, 10, 11, 5, 48]]

                                 622, : , FAIL

                        623, : , [[24], [5, 23, 5, 48]]

                            624, : , [[24], [5, 48]]

                           626, : , [[25], [250, 50]]

                           627, : , [[25], [125, 50]]

                                 628, : , FAIL

                                 629, : , FAIL

                             630, : , [[25], [50]]

                                 631, : , FAIL

                        632, : , [[25], [35, 6, 35, 50]]

                                 633, : , FAIL

                                 634, : , FAIL

                           635, : , [[25], [25, 50]]

                                 636, : , FAIL

                                 637, : , FAIL

                                 638, : , FAIL

                639, : , [[25], [17, 5, 22, 140, 22, 5, 17, 50]]

640, : ,

    [[25], [16, 6, 9, 10, 28, 5, 15, 5, 8, 5, 15, 5, 28, 10, 9, 6, 16, 50]]

                                 641, : , FAIL

                                 642, : , FAIL

                                 643, : , FAIL

                                 644, : , FAIL

                                 645, : , FAIL

                      646, : , [[25], [12, 1270, 12, 50]]

                                 647, : , FAIL

                    648, : , [[25], [10, 5, 30, 5, 10, 50]]

                                 649, : , FAIL

                           650, : , [[25], [10, 50]]

                 651, : , [[25], [9, 6, 5, 1274, 5, 6, 9, 50]]

                                 652, : , FAIL

                                 653, : , FAIL

654, : , [

    [25], [8, 6, 5, 18, 9, 5, 8, 5, 14, 1278, 14, 5, 8, 5, 9, 18, 5, 6, 8, 50]]

                                 655, : , FAIL

                        656, : , [[25], [8, 30, 8, 50]]

                                 657, : , FAIL

                                 658, : , FAIL

                                 659, : , FAIL

                        660, : , [[25], [7, 20, 7, 50]]

                                 661, : , FAIL

       662, : , [[25], [6, 5, 5, 5, 10, 15, 128, 15, 10, 5, 5, 5, 6, 50]]

                                 663, : , FAIL

                                 664, : , FAIL

                                 665, : , FAIL

                                 666, : , FAIL

                                 667, : , FAIL

                 668, : , [[25], [5, 5, 10, 12, 10, 5, 5, 50]]

                                 669, : , FAIL

                                 670, : , FAIL

                                 671, : , FAIL

                        672, : , [[25], [5, 11, 5, 50]]

                                 673, : , FAIL

                        674, : , [[25], [5, 24, 5, 50]]

                            675, : , [[25], [5, 50]]

                           677, : , [[26], [260, 52]]

                           678, : , [[26], [130, 52]]

                679, : , [[26], [86, 6, 9, 16285, 9, 6, 86, 52]]

                           680, : , [[26], [65, 52]]

                             681, : , [[26], [52]]

                                 682, : , FAIL

                                 683, : , FAIL

                                 684, : , FAIL

                                 685, : , FAIL

                           686, : , [[26], [26, 52]]

                                 687, : , FAIL

                                 688, : , FAIL

                           689, : , [[26], [20, 52]]

                                 690, : , FAIL

                                 691, : , FAIL

                                 692, : , FAIL

                                 693, : , FAIL

                                 694, : , FAIL

                                 695, : , FAIL

                           696, : , [[26], [13, 52]]

                                 697, : , FAIL

                                 698, : , FAIL

                                 699, : , FAIL

                700, : , [[26], [10, 5, 13, 330, 13, 5, 10, 52]]

                         701, : , [[26], [10, 10, 52]]

                           702, : , [[26], [10, 52]]

                                 703, : , FAIL

                                 704, : , FAIL

                                 705, : , FAIL

                                 706, : , FAIL

                                 707, : , FAIL

                                 708, : , FAIL

                                 709, : , FAIL

                                 710, : , FAIL

                                 711, : , FAIL

                                 712, : , FAIL

                    713, : , [[26], [7, 41, 290, 41, 7, 52]]

                     714, : , [[26], [6, 5, 14, 5, 6, 52]]

                                 715, : , FAIL

                                 716, : , FAIL

                                 717, : , FAIL

                                 718, : , FAIL

                                 719, : , FAIL

                       720, : , [[26], [6, 1340, 6, 52]]

                      721, : , [[26], [5, 5, 6, 5, 5, 52]]

                                 722, : , FAIL

                         723, : , [[26], [5, 7, 5, 52]]

                                 724, : , FAIL

                    725, : , [[26], [5, 12, 10, 12, 5, 52]]

                        726, : , [[26], [5, 16, 5, 52]]

                        727, : , [[26], [5, 25, 5, 52]]

                            728, : , [[26], [5, 52]]

                           730, : , [[27], [270, 54]]

                           731, : , [[27], [135, 54]]

                           732, : , [[27], [90, 54]]

                                 733, : , FAIL

                             734, : , [[27], [54]]

                           735, : , [[27], [45, 54]]

                                 736, : , FAIL

                                 737, : , FAIL

                           738, : , [[27], [30, 54]]

                           739, : , [[27], [27, 54]]

                                 740, : , FAIL

                                 741, : , FAIL

                                 742, : , FAIL

                                 743, : , FAIL

                           744, : , [[27], [18, 54]]

                                 745, : , FAIL

                                 746, : , FAIL

                           747, : , [[27], [15, 54]]

                                 748, : , FAIL

           749, : , [[27], [13, 8, 11, 25, 1368, 25, 11, 8, 13, 54]]

                                 750, : , FAIL

                                 751, : , FAIL

                                 752, : , FAIL

                                 753, : , FAIL

                 754, : , [[27], [10, 5, 8, 20, 8, 5, 10, 54]]

                       755, : , [[27], [10, 10, 10, 54]]

                           756, : , [[27], [10, 54]]

                                 757, : , FAIL

                                 758, : , FAIL

                            759, : , [[27], [9, 54]]

                                 760, : , FAIL

                                 761, : , FAIL

                                 762, : , FAIL

                                 763, : , FAIL

                                 764, : , FAIL

                                 765, : , FAIL

                                 766, : , FAIL

                                 767, : , FAIL

                        768, : , [[27], [7, 345, 7, 54]]

                                 769, : , FAIL

          770, : , [[27], [6, 7, 12, 5, 6, 1386, 6, 5, 12, 7, 6, 54]]

                                 771, : , FAIL

                                 772, : , FAIL

                                 773, : , FAIL

                            774, : , [[27], [6, 54]]

              775, : , [[27], [5, 5, 24, 10, 8, 10, 24, 5, 5, 54]]

                         776, : , [[27], [5, 5, 5, 54]]

                         777, : , [[27], [5, 6, 5, 54]]

                                 778, : , FAIL

                    779, : , [[27], [5, 10, 27, 10, 5, 54]]

                        780, : , [[27], [5, 12, 5, 54]]

                                 781, : , FAIL

                        782, : , [[27], [5, 26, 5, 54]]

                            783, : , [[27], [5, 54]]

                           785, : , [[28], [280, 56]]

                           786, : , [[28], [140, 56]]

            787, : , [[28], [93, 11, 5, 5, 3505, 5, 5, 11, 93, 56]]

                           788, : , [[28], [70, 56]]

                             789, : , [[28], [56]]

                                 790, : , FAIL

                           791, : , [[28], [40, 56]]

                           792, : , [[28], [35, 56]]

                                 793, : , FAIL

                           794, : , [[28], [28, 56]]

                        795, : , [[28], [25, 9, 25, 56]]

                                 796, : , FAIL

                                 797, : , FAIL

                           798, : , [[28], [20, 56]]

                                 799, : , FAIL

                                 800, : , FAIL

                                 801, : , FAIL

                                 802, : , FAIL

                                 803, : , FAIL

                           804, : , [[28], [14, 56]]

                                 805, : , FAIL

                                 806, : , FAIL

                                 807, : , FAIL

                                 808, : , FAIL

                                 809, : , FAIL

                                 810, : , FAIL

                                 811, : , FAIL

                           812, : , [[28], [10, 56]]

                                 813, : , FAIL

            814, : , [[28], [9, 11, 5, 5, 5, 6, 5, 5, 5, 11, 9, 56]]

                                 815, : , FAIL

                                 816, : , FAIL

                                 817, : , FAIL

                                 818, : , FAIL

                            819, : , [[28], [8, 56]]

                  820, : , [[28], [7, 5, 6, 10, 6, 5, 7, 56]]

                                 821, : , FAIL

                                 822, : , FAIL

                                 823, : , FAIL

                            824, : , [[28], [7, 56]]

                                 825, : , FAIL

                                 826, : , FAIL

                                 827, : , FAIL

                                 828, : , FAIL

                                 829, : , FAIL

                                 830, : , FAIL

                   831, : , [[28], [6, 110, 96, 110, 6, 56]]

                                 832, : , FAIL

             833, : , [[28], [5, 6, 21, 10, 16, 10, 21, 6, 5, 56]]

                     834, : , [[28], [5, 7, 18, 7, 5, 56]]

                                 835, : , FAIL

                                 836, : , FAIL

                    837, : , [[28], [5, 13, 10, 13, 5, 56]]

                                 838, : , FAIL

                        839, : , [[28], [5, 27, 5, 56]]

                            840, : , [[28], [5, 56]]

                           842, : , [[29], [290, 58]]

                           843, : , [[29], [145, 58]]

                                 844, : , FAIL

                                 845, : , FAIL

                             846, : , [[29], [58]]

                                 847, : , FAIL

                                 848, : , FAIL

                                 849, : , FAIL

                                 850, : , FAIL

                           851, : , [[29], [29, 58]]

                                 852, : , FAIL

                                 853, : , FAIL

                                 854, : , FAIL

                        855, : , [[29], [20, 6, 20, 58]]

            856, : , [[29], [19, 11, 5, 13, 365, 13, 5, 11, 19, 58]]

                                 857, : , FAIL

                                 858, : , FAIL

                                 859, : , FAIL

                       860, : , [[29], [15, 14, 15, 58]]

                                 861, : , FAIL

862, : , [[29],

    [13, 5, 8, 9, 22, 81, 15, 488, 5, 732, 5, 488, 15, 81, 22, 9, 8, 5, 13, 58]

    ]

                                 863, : , FAIL

                                 864, : , FAIL

                                 865, : , FAIL

                                 866, : , FAIL

                                 867, : , FAIL

                                 868, : , FAIL

                                 869, : , FAIL

                           870, : , [[29], [10, 58]]

                                 871, : , FAIL

                                 872, : , FAIL

                                 873, : , FAIL

                      874, : , [[29], [8, 5, 6, 5, 8, 58]]

                                 875, : , FAIL

                                 876, : , FAIL

            877, : , [[29], [8, 35, 10, 70, 296, 70, 10, 35, 8, 58]]

                 878, : , [[29], [7, 5, 12, 740, 12, 5, 7, 58]]

                                 879, : , FAIL

                                 880, : , FAIL

                 881, : , [[29], [7, 14, 5, 10, 5, 14, 7, 58]]

                                 882, : , FAIL

                                 883, : , FAIL

                                 884, : , FAIL

                                 885, : , FAIL

                                 886, : , FAIL

                                 887, : , FAIL

                                 888, : , FAIL

                                 889, : , FAIL

                       890, : , [[29], [6, 1490, 6, 58]]

                                 891, : , FAIL

                 892, : , [[29], [5, 6, 10, 14, 10, 6, 5, 58]]

                                 893, : , FAIL

                         894, : , [[29], [5, 8, 5, 58]]

                        895, : , [[29], [5, 10, 5, 58]]

                        896, : , [[29], [5, 13, 5, 58]]

                        897, : , [[29], [5, 18, 5, 58]]

                        898, : , [[29], [5, 28, 5, 58]]

                            899, : , [[29], [5, 58]]

                           901, : , [[30], [300, 60]]

                           902, : , [[30], [150, 60]]

                           903, : , [[30], [100, 60]]

                           904, : , [[30], [75, 60]]

                             905, : , [[30], [60]]

                           906, : , [[30], [50, 60]]

                                 907, : , FAIL

                                 908, : , FAIL

                                 909, : , FAIL

                           910, : , [[30], [30, 60]]

                                 911, : , FAIL

                           912, : , [[30], [25, 60]]

                                 913, : , FAIL

                                 914, : , FAIL

                           915, : , [[30], [20, 60]]

                   916, : , [[30], [18, 6, 1890, 6, 18, 60]]

                                 917, : , FAIL

                                 918, : , FAIL

                                 919, : , FAIL

                           920, : , [[30], [15, 60]]

                                 921, : , FAIL

                                 922, : , FAIL

                                 923, : , FAIL

                                 924, : , FAIL

                           925, : , [[30], [12, 60]]

                                 926, : , FAIL

                                 927, : , FAIL

                                 928, : , FAIL

                                 929, : , FAIL

                           930, : , [[30], [10, 60]]

                                 931, : , FAIL

                                 932, : , FAIL

                                 933, : , FAIL

                                 934, : , FAIL

                                 935, : , FAIL

                                 936, : , FAIL

                                 937, : , FAIL

                     938, : , [[30], [7, 5, 42, 5, 7, 60]]

                                 939, : , FAIL

                                 940, : , FAIL

                                 941, : , FAIL

                                 942, : , FAIL

                                 943, : , FAIL

                  944, : , [[30], [6, 5, 9, 95, 9, 5, 6, 60]]

                                 945, : , FAIL

                                 946, : , FAIL

                                 947, : , FAIL

                    948, : , [[30], [6, 15, 102, 15, 6, 60]]

                                 949, : , FAIL

                            950, : , [[30], [6, 60]]

             951, : , [[30], [5, 5, 27, 25, 51, 25, 27, 5, 5, 60]]

                   952, : , [[30], [5, 5, 5, 6, 5, 5, 5, 60]]

                                 953, : , FAIL

                                 954, : , FAIL

                                 955, : , FAIL

956, : , [[30],

    [5, 11, 13, 192, 5, 6, 5, 5, 6, 14, 6, 5, 5, 6, 5, 192, 13, 11, 5, 60]]

                    957, : , [[30], [5, 14, 10, 14, 5, 60]]

                                 958, : , FAIL

                        959, : , [[30], [5, 29, 5, 60]]

                            960, : , [[30], [5, 60]]

                           962, : , [[31], [310, 62]]

                           963, : , [[31], [155, 62]]

                                 964, : , FAIL

                                 965, : , FAIL

                             966, : , [[31], [62]]

                                 967, : , FAIL

                                 968, : , FAIL

                                 969, : , FAIL

                                 970, : , FAIL

                           971, : , [[31], [31, 62]]

                                 972, : , FAIL

                 973, : , [[31], [25, 5, 10, 8, 10, 5, 25, 62]]

                                 974, : , FAIL

                                 975, : , FAIL

                                 976, : , FAIL

                                 977, : , FAIL

                                 978, : , FAIL

                                 979, : , FAIL

               980, : , [[31], [16, 12, 8, 39130, 8, 12, 16, 62]]

                                 981, : , FAIL

                                 982, : , FAIL

                                 983, : , FAIL

                                 984, : , FAIL

                    985, : , [[31], [12, 5, 312, 5, 12, 62]]

                       986, : , [[31], [12, 10, 12, 62]]

                      987, : , [[31], [12, 1570, 12, 62]]

                                 988, : , FAIL

                                 989, : , FAIL

                        990, : , [[31], [10, 6, 10, 62]]

                                 991, : , FAIL

                           992, : , [[31], [10, 62]]

                                 993, : , FAIL

                        994, : , [[31], [9, 10, 9, 62]]

                995, : , [[31], [9, 25, 16, 12, 16, 25, 9, 62]]

                     996, : , [[31], [8, 5, 14, 5, 8, 62]]

                                 997, : , FAIL

                                 998, : , FAIL

                                 999, : , FAIL

                   1000, : , [[31], [8, 175, 79, 175, 8, 62]]

            1001, : , [[31], [7, 6, 196, 5, 224, 5, 196, 6, 7, 62]]

                                 1002, : , FAIL

                                 1003, : , FAIL

                                 1004, : , FAIL

                                 1005, : , FAIL

                     1006, : , [[31], [6, 5, 30, 5, 6, 62]]

                                 1007, : , FAIL

                                 1008, : , FAIL

                                 1009, : , FAIL

                                 1010, : , FAIL

                                 1011, : , FAIL

                                 1012, : , FAIL

                                 1013, : , FAIL

                1014, : , [[31], [5, 5, 13, 530, 13, 5, 5, 62]]

                                 1015, : , FAIL

                        1016, : , [[31], [5, 6, 5, 62]]

                                 1017, : , FAIL

                                 1018, : , FAIL

                                 1019, : , FAIL

                        1020, : , [[31], [5, 14, 5, 62]]

                                 1021, : , FAIL

                        1022, : , [[31], [5, 30, 5, 62]]

                           1023, : , [[31], [5, 62]]

                          1025, : , [[32], [320, 64]]

                          1026, : , [[32], [160, 64]]

                                 1027, : , FAIL

                           1028, : , [[32], [80, 64]]

                             1029, : , [[32], [64]]

                                 1030, : , FAIL

                                 1031, : , FAIL

                           1032, : , [[32], [40, 64]]

                                 1033, : , FAIL

                           1034, : , [[32], [32, 64]]

                                 1035, : , FAIL

                                 1036, : , FAIL

                                 1037, : , FAIL

1038, : ,

    [[32], [22, 5, 14, 12, 5, 46, 11, 1610, 11, 46, 5, 12, 14, 5, 22, 64]]

                                 1039, : , FAIL

                           1040, : , [[32], [20, 64]]

  1041, : , [[32], [18, 5, 9, 37, 350, 8, 6, 20, 6, 8, 350, 37, 9, 5, 18, 64]]

                                 1042, : , FAIL

                1043, : , [[32], [16, 5, 11, 10, 11, 5, 16, 64]]

                           1044, : , [[32], [16, 64]]

                                 1045, : , FAIL

                                 1046, : , FAIL

                   1047, : , [[32], [13, 5, 106, 5, 13, 64]]

                                 1048, : , FAIL

                                 1049, : , FAIL

                                 1050, : , FAIL

                                 1051, : , FAIL

                                 1052, : , FAIL

                                 1053, : , FAIL

                                 1054, : , FAIL

                       1055, : , [[32], [10, 12, 10, 64]]

                           1056, : , [[32], [10, 64]]

                                 1057, : , FAIL

                                 1058, : , FAIL

                                 1059, : , FAIL

              1060, : , [[32], [8, 5, 28, 7, 80, 7, 28, 5, 8, 64]]

                                 1061, : , FAIL

                   1062, : , [[32], [8, 10, 162, 10, 8, 64]]

                                 1063, : , FAIL

                           1064, : , [[32], [8, 64]]

                                 1065, : , FAIL

                                 1066, : , FAIL

                                 1067, : , FAIL

                                 1068, : , FAIL

                                 1069, : , FAIL

                                 1070, : , FAIL

                  1071, : , [[32], [6, 5, 7, 6, 7, 5, 6, 64]]

                                 1072, : , FAIL

                                 1073, : , FAIL

                    1074, : , [[32], [6, 10, 10, 10, 6, 64]]

                                 1075, : , FAIL

                                 1076, : , FAIL

                                 1077, : , FAIL

                       1078, : , [[32], [6, 1640, 6, 64]]

                                 1079, : , FAIL

                     1080, : , [[32], [5, 6, 15, 6, 5, 64]]

                                 1081, : , FAIL

                                 1082, : , FAIL

                        1083, : , [[32], [5, 9, 5, 64]]

                                 1084, : , FAIL

                    1085, : , [[32], [5, 15, 10, 15, 5, 64]]

                        1086, : , [[32], [5, 20, 5, 64]]

                        1087, : , [[32], [5, 31, 5, 64]]

                           1088, : , [[32], [5, 64]]

                          1090, : , [[33], [330, 66]]

                          1091, : , [[33], [165, 66]]

                          1092, : , [[33], [110, 66]]

                                 1093, : , FAIL

                             1094, : , [[33], [66]]

                           1095, : , [[33], [55, 66]]

                                 1096, : , FAIL

                                 1097, : , FAIL

                                 1098, : , FAIL

                           1099, : , [[33], [33, 66]]

                           1100, : , [[33], [30, 66]]

                                 1101, : , FAIL

             1102, : , [[33], [25, 10, 5, 6, 10, 6, 5, 10, 25, 66]]

                                 1103, : , FAIL

                           1104, : , [[33], [22, 66]]

                                 1105, : , FAIL

                       1106, : , [[33], [19, 10, 19, 66]]

                                 1107, : , FAIL

                                 1108, : , FAIL

                                 1109, : , FAIL

                       1110, : , [[33], [15, 6, 15, 66]]

                           1111, : , [[33], [15, 66]]

                                 1112, : , FAIL

                                 1113, : , FAIL

                                 1114, : , FAIL

                                 1115, : , FAIL

                                 1116, : , FAIL

                                 1117, : , FAIL

               1118, : , [[33], [11, 10, 5, 1670, 5, 10, 11, 66]]

                           1119, : , [[33], [11, 66]]

                 1120, : , [[33], [10, 6, 5, 15, 5, 6, 10, 66]]

                                 1121, : , FAIL

                           1122, : , [[33], [10, 66]]

                                 1123, : , FAIL

                                 1124, : , FAIL

                                 1125, : , FAIL

                    1126, : , [[33], [8, 5, 166, 5, 8, 66]]

                                 1127, : , FAIL

                                 1128, : , FAIL

                                 1129, : , FAIL

                                 1130, : , FAIL

                                 1131, : , FAIL

                                 1132, : , FAIL

                                 1133, : , FAIL

                    1134, : , [[33], [7, 12, 20, 12, 7, 66]]

1135, : ,

    [[33], [7, 20, 55, 5, 9, 5, 7, 6, 5, 5, 5, 6, 7, 5, 9, 5, 55, 20, 7, 66]]

                                 1136, : , FAIL

     1137, : , [[33], [6, 5, 18, 5, 41, 25, 112, 25, 41, 5, 18, 5, 6, 66]]

                                 1138, : , FAIL

                                 1139, : , FAIL

                                 1140, : , FAIL

                                 1141, : , FAIL

                                 1142, : , FAIL

                                 1143, : , FAIL

                           1144, : , [[33], [6, 66]]

                                 1145, : , FAIL

                                 1146, : , FAIL

                                 1147, : , FAIL

                 1148, : , [[33], [5, 7, 10, 16, 10, 7, 5, 66]]

                                 1149, : , FAIL

                                 1150, : , FAIL

                                 1151, : , FAIL

                        1152, : , [[33], [5, 15, 5, 66]]

                                 1153, : , FAIL

                        1154, : , [[33], [5, 32, 5, 66]]

                           1155, : , [[33], [5, 66]]

                          1157, : , [[34], [340, 68]]

                          1158, : , [[34], [170, 68]]

                                 1159, : , FAIL

                           1160, : , [[34], [85, 68]]

                             1161, : , [[34], [68]]

                                 1162, : , FAIL

                                 1163, : , FAIL

                                 1164, : , FAIL

                                 1165, : , FAIL

                           1166, : , [[34], [34, 68]]

                    1167, : , [[34], [30, 5, 55, 5, 30, 68]]

                                 1168, : , FAIL

                                 1169, : , FAIL

                                 1170, : , FAIL

                                 1171, : , FAIL

                                 1172, : , FAIL

                           1173, : , [[34], [20, 68]]

                                 1174, : , FAIL

        1175, : , [[34], [17, 5, 30, 22, 5, 1712, 5, 22, 30, 5, 17, 68]]

                           1176, : , [[34], [17, 68]]

                                 1177, : , FAIL

                    1178, : , [[34], [15, 9, 10, 9, 15, 68]]

                    1179, : , [[34], [14, 5, 5, 5, 14, 68]]

                                 1180, : , FAIL

                                 1181, : , FAIL

                                 1182, : , FAIL

                                 1183, : , FAIL

                                 1184, : , FAIL

                                 1185, : , FAIL

                                 1186, : , FAIL

                                 1187, : , FAIL

                    1188, : , [[34], [10, 7, 30, 7, 10, 68]]

           1189, : , [[34], [10, 13, 16, 5, 6, 6, 5, 16, 13, 10, 68]]

                           1190, : , [[34], [10, 68]]

                                 1191, : , FAIL

                                 1192, : , FAIL

                                 1193, : , FAIL

                                 1194, : , FAIL

                                 1195, : , FAIL

                                 1196, : , FAIL

                                 1197, : , FAIL

                                 1198, : , FAIL

          1199, : , [[34], [7, 5, 48, 8, 10, 7, 10, 8, 48, 5, 7, 68]]

                                 1200, : , FAIL

                1201, : , [[34], [7, 7, 5, 22, 22, 5, 7, 7, 68]]

                    1202, : , [[34], [7, 10, 6, 10, 7, 68]]

                                 1203, : , FAIL

                                 1204, : , FAIL

                                 1205, : , FAIL

                     1206, : , [[34], [6, 5, 6, 5, 6, 68]]

                                 1207, : , FAIL

                                 1208, : , FAIL

            1209, : , [[34], [6, 10, 19, 5, 114, 5, 19, 10, 6, 68]]

                                 1210, : , FAIL

                                 1211, : , FAIL

                                 1212, : , FAIL

                                 1213, : , FAIL

                                 1214, : , FAIL

                        1215, : , [[34], [5, 5, 5, 68]]

                                 1216, : , FAIL

                                 1217, : , FAIL

                        1218, : , [[34], [5, 8, 5, 68]]

                                 1219, : , FAIL

                        1220, : , [[34], [5, 12, 5, 68]]

                    1221, : , [[34], [5, 16, 10, 16, 5, 68]]

                                 1222, : , FAIL

                        1223, : , [[34], [5, 33, 5, 68]]

                           1224, : , [[34], [5, 68]]

                          1226, : , [[35], [350, 70]]

                          1227, : , [[35], [175, 70]]

                                 1228, : , FAIL

                                 1229, : , FAIL

                             1230, : , [[35], [70]]

                                 1231, : , FAIL

                           1232, : , [[35], [50, 70]]

                                 1233, : , FAIL

                                 1234, : , FAIL

                           1235, : , [[35], [35, 70]]

                                 1236, : , FAIL

                                 1237, : , FAIL

                   1238, : , [[35], [26, 5, 174, 5, 26, 70]]

                           1239, : , [[35], [25, 70]]

                                 1240, : , FAIL

1241, : , [[35],

    [21, 5, 17, 8, 9, 10, 5, 5, 13, 20, 13, 5, 5, 10, 9, 8, 17, 5, 21, 70]]

                                 1242, : , FAIL

                                 1243, : , FAIL

                                 1244, : , FAIL

                                 1245, : , FAIL

                                 1246, : , FAIL

                                 1247, : , FAIL

                       1248, : , [[35], [15, 17, 15, 70]]

                                 1249, : , FAIL

                           1250, : , [[35], [14, 70]]

                                 1251, : , FAIL

                                 1252, : , FAIL

                                 1253, : , FAIL

        1254, : , [[35], [12, 35, 6, 5, 16, 1770, 16, 5, 6, 35, 12, 70]]

                                 1255, : , FAIL

                                 1256, : , FAIL

                      1257, : , [[35], [11, 590, 11, 70]]

                                 1258, : , FAIL

                                 1259, : , FAIL

                           1260, : , [[35], [10, 70]]

                                 1261, : , FAIL

                                 1262, : , FAIL

                                 1263, : , FAIL

                       1264, : , [[35], [9, 110, 9, 70]]

                                 1265, : , FAIL

                                 1266, : , FAIL

                                 1267, : , FAIL

                                 1268, : , FAIL

                                 1269, : , FAIL

                                 1270, : , FAIL

1271, : , [[35], [7, 7, 13, 5, 15, 20, 9, 5, 73, 5, 192, 6, 10, 1086, 10, 6,

    192, 5, 73, 5, 9, 20, 15, 5, 13, 7, 7, 70]]

                                 1272, : , FAIL

                                 1273, : , FAIL

                                 1274, : , FAIL

                           1275, : , [[35], [7, 70]]

                                 1276, : , FAIL

                                 1277, : , FAIL

                                 1278, : , FAIL

                                 1279, : , FAIL

                                 1280, : , FAIL

                                 1281, : , FAIL

                                 1282, : , FAIL

                                 1283, : , FAIL

                       1284, : , [[35], [6, 1790, 6, 70]]

                                 1285, : , FAIL

                                 1286, : , FAIL

                        1287, : , [[35], [5, 6, 5, 70]]

                        1288, : , [[35], [5, 7, 5, 70]]

                                 1289, : , FAIL

                        1290, : , [[35], [5, 10, 5, 70]]

                                 1291, : , FAIL

                        1292, : , [[35], [5, 16, 5, 70]]

                        1293, : , [[35], [5, 22, 5, 70]]

                        1294, : , [[35], [5, 34, 5, 70]]

                           1295, : , [[35], [5, 70]]

                          1297, : , [[36], [360, 72]]

                          1298, : , [[36], [180, 72]]

                          1299, : , [[36], [120, 72]]

                           1300, : , [[36], [90, 72]]

                             1301, : , [[36], [72]]

                           1302, : , [[36], [60, 72]]

                                 1303, : , FAIL

                           1304, : , [[36], [45, 72]]

                           1305, : , [[36], [40, 72]]

                           1306, : , [[36], [36, 72]]

                                 1307, : , FAIL

                           1308, : , [[36], [30, 72]]

                                 1309, : , FAIL

                                 1310, : , FAIL

                           1311, : , [[36], [24, 72]]

                                 1312, : , FAIL

                   1313, : , [[36], [21, 20, 14, 20, 21, 72]]

                           1314, : , [[36], [20, 72]]

                                 1315, : , FAIL

                           1316, : , [[36], [18, 72]]

                                 1317, : , FAIL

                                 1318, : , FAIL

                                 1319, : , FAIL

                           1320, : , [[36], [15, 72]]

                                 1321, : , FAIL

                                 1322, : , FAIL

                                 1323, : , FAIL

                                 1324, : , FAIL

                                 1325, : , FAIL

                           1326, : , [[36], [12, 72]]

                                 1327, : , FAIL

                                 1328, : , FAIL

                                 1329, : , FAIL

                                 1330, : , FAIL

                                 1331, : , FAIL

                           1332, : , [[36], [10, 72]]

                                 1333, : , FAIL

                                 1334, : , FAIL

                                 1335, : , FAIL

                           1336, : , [[36], [9, 72]]

                                 1337, : , FAIL

                                 1338, : , FAIL

                                 1339, : , FAIL

                                 1340, : , FAIL

                           1341, : , [[36], [8, 72]]

                                 1342, : , FAIL

                                 1343, : , FAIL

                                 1344, : , FAIL

                                 1345, : , FAIL

                                 1346, : , FAIL

                                 1347, : , FAIL

                                 1348, : , FAIL

                                 1349, : , FAIL

                                 1350, : , FAIL

                                 1351, : , FAIL

                    1352, : , [[36], [6, 10, 91, 10, 6, 72]]

                                 1353, : , FAIL

                                 1354, : , FAIL

                                 1355, : , FAIL

                           1356, : , [[36], [6, 72]]

                                 1357, : , FAIL

                 1358, : , [[36], [5, 5, 7, 920, 7, 5, 5, 72]]

                                 1359, : , FAIL

                 1360, : , [[36], [5, 7, 23, 5, 23, 7, 5, 72]]

                                 1361, : , FAIL

                                 1362, : , FAIL

             1363, : , [[36], [5, 11, 15, 7, 5, 7, 15, 11, 5, 72]]

                    1364, : , [[36], [5, 13, 6, 13, 5, 72]]

                    1365, : , [[36], [5, 17, 10, 17, 5, 72]]

                                 1366, : , FAIL

                        1367, : , [[36], [5, 35, 5, 72]]

                           1368, : , [[36], [5, 72]]

                          1370, : , [[37], [370, 74]]

                          1371, : , [[37], [185, 74]]

                                 1372, : , FAIL

                                 1373, : , FAIL

                             1374, : , [[37], [74]]

                                 1375, : , FAIL

                                 1376, : , FAIL

      1377, : , [[37], [46, 15, 6, 7, 10, 5, 20, 5, 10, 7, 6, 15, 46, 74]]

                  1378, : , [[37], [41, 28, 9280, 28, 41, 74]]

                           1379, : , [[37], [37, 74]]

                                 1380, : , FAIL

                                 1381, : , FAIL

                                 1382, : , FAIL

                   1383, : , [[37], [26, 10, 61, 10, 26, 74]]

                                 1384, : , FAIL

                                 1385, : , FAIL

                                 1386, : , FAIL

                   1387, : , [[37], [20, 8, 185, 8, 20, 74]]

                                 1388, : , FAIL

                                 1389, : , FAIL

                                 1390, : , FAIL

          1391, : , [[37], [16, 5, 7, 6, 6, 185, 6, 6, 7, 5, 16, 74]]

                                 1392, : , FAIL

                       1393, : , [[37], [15, 10, 15, 74]]

                                 1394, : , FAIL

                                 1395, : , FAIL

                                 1396, : , FAIL

                                 1397, : , FAIL

                                 1398, : , FAIL

               1399, : , [[37], [12, 12, 10, 14, 10, 12, 12, 74]]

                      1400, : , [[37], [12, 1870, 12, 74]]

                                 1401, : , FAIL

                                 1402, : , FAIL

                                 1403, : , FAIL

                                 1404, : , FAIL

                       1405, : , [[37], [10, 14, 10, 74]]

                           1406, : , [[37], [10, 74]]

                                 1407, : , FAIL

               1408, : , [[37], [9, 9, 240, 469, 240, 9, 9, 74]]

                                 1409, : , FAIL

                                 1410, : , FAIL

           1411, : , [[37], [8, 5, 7, 48, 6, 15, 6, 48, 7, 5, 8, 74]]

                                 1412, : , FAIL

                                 1413, : , FAIL

                                 1414, : , FAIL

                1415, : , [[37], [8, 45, 19, 7, 19, 45, 8, 74]]

                 1416, : , [[37], [7, 5, 15, 10, 15, 5, 7, 74]]

                                 1417, : , FAIL

                                 1418, : , FAIL

                        1419, : , [[37], [7, 10, 7, 74]]

                 1420, : , [[37], [7, 15, 9, 14, 9, 15, 7, 74]]

                                 1421, : , FAIL

                                 1422, : , FAIL

                                 1423, : , FAIL

                                 1424, : , FAIL

                                 1425, : , FAIL

              1426, : , [[37], [6, 8, 5, 23, 16, 23, 5, 8, 6, 74]]

                                 1427, : , FAIL

                                 1428, : , FAIL

                                 1429, : , FAIL

                                 1430, : , FAIL

                                 1431, : , FAIL

                                 1432, : , FAIL

                                 1433, : , FAIL

                                 1434, : , FAIL

                                 1435, : , FAIL

                 1436, : , [[37], [5, 8, 10, 18, 10, 8, 5, 74]]

                                 1437, : , FAIL

                                 1438, : , FAIL

                                 1439, : , FAIL

                        1440, : , [[37], [5, 17, 5, 74]]

                                 1441, : , FAIL

                        1442, : , [[37], [5, 36, 5, 74]]

                           1443, : , [[37], [5, 74]]

                          1445, : , [[38], [380, 76]]

                          1446, : , [[38], [190, 76]]

                                 1447, : , FAIL

                           1448, : , [[38], [95, 76]]

                             1449, : , [[38], [76]]

                                 1450, : , FAIL

                                 1451, : , FAIL

                                 1452, : , FAIL

                                 1453, : , FAIL

                           1454, : , [[38], [38, 76]]

                                 1455, : , FAIL

                                 1456, : , FAIL

                                 1457, : , FAIL

                                 1458, : , FAIL

                                 1459, : , FAIL

                                 1460, : , FAIL

                                 1461, : , FAIL

                                 1462, : , FAIL

                           1463, : , [[38], [20, 76]]

                           1464, : , [[38], [19, 76]]

                                 1465, : , FAIL

                                 1466, : , FAIL

                                 1467, : , FAIL

                                 1468, : , FAIL

                                 1469, : , FAIL

                                 1470, : , FAIL

                                 1471, : , FAIL

                                 1472, : , FAIL

                                 1473, : , FAIL

                                 1474, : , FAIL

       1475, : , [[38], [12, 15, 10, 5, 34, 1920, 34, 5, 10, 15, 12, 76]]

                                 1476, : , FAIL

                                 1477, : , FAIL

                                 1478, : , FAIL

                    1479, : , [[38], [10, 5, 11, 5, 10, 76]]

                    1480, : , [[38], [10, 8, 95, 8, 10, 76]]

                                 1481, : , FAIL

                           1482, : , [[38], [10, 76]]

                                 1483, : , FAIL

                                 1484, : , FAIL

                                 1485, : , FAIL

                                 1486, : , FAIL

                                 1487, : , FAIL

                                 1488, : , FAIL

                                 1489, : , FAIL

                                 1490, : , FAIL

                                 1491, : , FAIL

                                 1492, : , FAIL

                                 1493, : , FAIL

                                 1494, : , FAIL

                                 1495, : , FAIL

                                 1496, : , FAIL

                                 1497, : , FAIL

                                 1498, : , FAIL

                     1499, : , [[38], [6, 5, 37, 5, 6, 76]]

                                 1500, : , FAIL

                                 1501, : , FAIL

                                 1502, : , FAIL

                                 1503, : , FAIL

                                 1504, : , FAIL

                                 1505, : , FAIL

                                 1506, : , FAIL

                                 1507, : , FAIL

                       1508, : , [[38], [6, 1940, 6, 76]]

          1509, : , [[38], [5, 5, 10, 18, 5, 24, 5, 18, 10, 5, 5, 76]]

                                 1510, : , FAIL

  1511, : , [[38], [5, 6, 6, 14, 24, 18, 5, 9716, 5, 18, 24, 14, 6, 6, 5, 76]]

                                 1512, : , FAIL

                                 1513, : , FAIL

                    1514, : , [[38], [5, 10, 38, 10, 5, 76]]

                        1515, : , [[38], [5, 11, 5, 76]]

                                 1516, : , FAIL

                    1517, : , [[38], [5, 18, 10, 18, 5, 76]]

                        1518, : , [[38], [5, 24, 5, 76]]

                        1519, : , [[38], [5, 37, 5, 76]]

                           1520, : , [[38], [5, 76]]

                          1522, : , [[39], [390, 78]]

                          1523, : , [[39], [195, 78]]

                          1524, : , [[39], [130, 78]]

                                 1525, : , FAIL

                             1526, : , [[39], [78]]

                           1527, : , [[39], [65, 78]]

                                 1528, : , FAIL

                                 1529, : , FAIL

                                 1530, : , FAIL

                           1531, : , [[39], [39, 78]]

                                 1532, : , FAIL

                                 1533, : , FAIL

                           1534, : , [[39], [30, 78]]

                1535, : , [[39], [27, 5, 11, 7, 11, 5, 27, 78]]

                           1536, : , [[39], [26, 78]]

                                 1537, : , FAIL

                      1538, : , [[39], [23, 980, 23, 78]]

                                 1539, : , FAIL

                    1540, : , [[39], [20, 8, 10, 8, 20, 78]]

                                 1541, : , FAIL

                                 1542, : , FAIL

                                 1543, : , FAIL

                      1544, : , [[39], [17, 245, 17, 78]]

                                 1545, : , FAIL

                                 1546, : , FAIL

                           1547, : , [[39], [15, 78]]

                                 1548, : , FAIL

                                 1549, : , FAIL

                                 1550, : , FAIL

                           1551, : , [[39], [13, 78]]

                                 1552, : , FAIL

                                 1553, : , FAIL

                 1554, : , [[39], [11, 5, 7, 10, 7, 5, 11, 78]]

                                 1555, : , FAIL

                                 1556, : , FAIL

  1557, : , [[39], [10, 5, 8, 6, 5, 492, 13, 8, 13, 492, 5, 6, 8, 5, 10, 78]]

                                 1558, : , FAIL

                                 1559, : , FAIL

                           1560, : , [[39], [10, 78]]

                                 1561, : , FAIL

                                 1562, : , FAIL

                                 1563, : , FAIL

                                 1564, : , FAIL

                                 1565, : , FAIL

                                 1566, : , FAIL

                                 1567, : , FAIL

                                 1568, : , FAIL

                                 1569, : , FAIL

                                 1570, : , FAIL

              1571, : , [[39], [7, 5, 6, 15, 39, 15, 6, 5, 7, 78]]

                                 1572, : , FAIL

                                 1573, : , FAIL

                                 1574, : , FAIL

                                 1575, : , FAIL

                                 1576, : , FAIL

                                 1577, : , FAIL

                                 1578, : , FAIL

                                 1579, : , FAIL

                                 1580, : , FAIL

                  1581, : , [[39], [6, 8, 5, 6, 5, 8, 6, 78]]

                                 1582, : , FAIL

                                 1583, : , FAIL

                                 1584, : , FAIL

                                 1585, : , FAIL

                           1586, : , [[39], [6, 78]]

                 1587, : , [[39], [5, 5, 35, 13, 35, 5, 5, 78]]

                                 1588, : , FAIL

      1589, : , [[39], [5, 6, 19, 23, 25, 7, 10, 7, 25, 23, 19, 6, 5, 78]]

                        1590, : , [[39], [5, 6, 5, 78]]

                                 1591, : , FAIL

                        1592, : , [[39], [5, 8, 5, 78]]

                                 1593, : , FAIL

                                 1594, : , FAIL

                        1595, : , [[39], [5, 14, 5, 78]]

                        1596, : , [[39], [5, 18, 5, 78]]

                                 1597, : , FAIL

                        1598, : , [[39], [5, 38, 5, 78]]

                           1599, : , [[39], [5, 78]]

                          1601, : , [[40], [400, 80]]

                          1602, : , [[40], [200, 80]]

                                 1603, : , FAIL

                          1604, : , [[40], [100, 80]]

                             1605, : , [[40], [80]]

                                 1606, : , FAIL

                                 1607, : , FAIL

                           1608, : , [[40], [50, 80]]

                                 1609, : , FAIL

                           1610, : , [[40], [40, 80]]

                                 1611, : , FAIL

                                 1612, : , FAIL

                   1613, : , [[40], [30, 6, 400, 6, 30, 80]]

                                 1614, : , FAIL

                                 1615, : , FAIL

                           1616, : , [[40], [25, 80]]

                                 1617, : , FAIL

                                 1618, : , FAIL

                                 1619, : , FAIL

                           1620, : , [[40], [20, 80]]

                                 1621, : , FAIL

                                 1622, : , FAIL

                                 1623, : , FAIL

1624, : , [[40],

    [16, 6, 5, 6, 45, 5, 10, 8, 10, 2014, 10, 8, 10, 5, 45, 6, 5, 6, 16, 80]]

                           1625, : , [[40], [16, 80]]

                   1626, : , [[40], [15, 11, 26, 11, 15, 80]]

                                 1627, : , FAIL

                                 1628, : , FAIL

                                 1629, : , FAIL

                                 1630, : , FAIL

                    1631, : , [[40], [12, 5, 27, 5, 12, 80]]

                    1632, : , [[40], [12, 8, 5, 8, 12, 80]]

                                 1633, : , FAIL

                                 1634, : , FAIL

                   1635, : , [[40], [11, 10, 26, 10, 11, 80]]

                                 1636, : , FAIL

                                 1637, : , FAIL

                       1638, : , [[40], [10, 8, 10, 80]]

                                 1639, : , FAIL

                           1640, : , [[40], [10, 80]]

                                 1641, : , FAIL

                                 1642, : , FAIL

                                 1643, : , FAIL

                                 1644, : , FAIL

                                 1645, : , FAIL

                                 1646, : , FAIL

                                 1647, : , FAIL

                                 1648, : , FAIL

                                 1649, : , FAIL

                           1650, : , [[40], [8, 80]]

                                 1651, : , FAIL

1652, : , [[40], [7, 6, 7, 5, 20, 5, 6, 5, 6, 20, 17, 72, 17, 20, 6, 5, 6, 5,

    20, 5, 7, 6, 7, 80]]

                                 1653, : , FAIL

                                 1654, : , FAIL

                                 1655, : , FAIL

                                 1656, : , FAIL

                                 1657, : , FAIL

                                 1658, : , FAIL

                                 1659, : , FAIL

                                 1660, : , FAIL

                                 1661, : , FAIL

                                 1662, : , FAIL

                                 1663, : , FAIL

                                 1664, : , FAIL

                                 1665, : , FAIL

                        1666, : , [[40], [6, 40, 6, 80]]

                                 1667, : , FAIL

                                 1668, : , FAIL

                                 1669, : , FAIL

                                 1670, : , FAIL

                     1671, : , [[40], [5, 7, 26, 7, 5, 80]]

                     1672, : , [[40], [5, 8, 50, 8, 5, 80]]

                                 1673, : , FAIL

                                 1674, : , FAIL

                                 1675, : , FAIL

                                 1676, : , FAIL

                    1677, : , [[40], [5, 19, 10, 19, 5, 80]]

1678, : , [[40], [5, 26, 15, 8, 6, 10, 6, 35, 31, 13, 10, 40, 10, 13, 31, 35, 6,

    10, 6, 8, 15, 26, 5, 80]]

                        1679, : , [[40], [5, 39, 5, 80]]

                           1680, : , [[40], [5, 80]]

                          1682, : , [[41], [410, 82]]

                          1683, : , [[41], [205, 82]]

                                 1684, : , FAIL

                                 1685, : , FAIL

                             1686, : , [[41], [82]]

                                 1687, : , FAIL

                                 1688, : , FAIL

                                 1689, : , FAIL

                       1690, : , [[41], [45, 8, 45, 82]]

                           1691, : , [[41], [41, 82]]

1692, : , [[41], [37, 14, 5, 81, 14, 5, 36, 10, 5, 5, 8, 56, 8, 5, 5, 10, 36, 5,

    14, 81, 5, 14, 37, 82]]

                                 1693, : , FAIL

                                 1694, : , FAIL

                                 1695, : , FAIL

                                 1696, : , FAIL

                                 1697, : , FAIL

                                 1698, : , FAIL

                                 1699, : , FAIL

                                 1700, : , FAIL

                 1701, : , [[41], [20, 8, 5, 10, 5, 8, 20, 82]]

                                 1702, : , FAIL

                                 1703, : , FAIL

                                 1704, : , FAIL

                                 1705, : , FAIL

                                 1706, : , FAIL

                   1707, : , [[41], [15, 6, 205, 6, 15, 82]]

                       1708, : , [[41], [15, 20, 15, 82]]

                                 1709, : , FAIL

                                 1710, : , FAIL

                                 1711, : , FAIL

                                 1712, : , FAIL

                                 1713, : , FAIL

                                 1714, : , FAIL

                                 1715, : , FAIL

                       1716, : , [[41], [11, 6, 11, 82]]

                                 1717, : , FAIL

                                 1718, : , FAIL

      1719, : , [[41], [10, 5, 5, 7, 11, 23, 5, 23, 11, 7, 5, 5, 10, 82]]

              1720, : , [[41], [10, 8, 6, 5, 19, 5, 6, 8, 10, 82]]

                                 1721, : , FAIL

                           1722, : , [[41], [10, 82]]

                                 1723, : , FAIL

                                 1724, : , FAIL

                                 1725, : , FAIL

1726, : , [[41], [9, 29, 40, 8, 5, 9, 6, 8, 5, 13, 42, 150, 12, 19, 13, 8, 10,

    6, 40, 6, 10, 8, 13, 19, 12, 150, 42, 13, 5, 8, 6, 9, 5, 8, 40, 29, 9, 82]]

                     1727, : , [[41], [8, 5, 36, 5, 8, 82]]

                                 1728, : , FAIL

                                 1729, : , FAIL

                                 1730, : , FAIL

                                 1731, : , FAIL

1732, : , [[41], [8, 50, 37, 6, 6, 20, 5, 16, 20, 9, 2600, 9, 20, 16, 5, 20, 6,

    6, 37, 50, 8, 82]]

                                 1733, : , FAIL

                                 1734, : , FAIL

                                 1735, : , FAIL

                        1736, : , [[41], [7, 9, 7, 82]]

                                 1737, : , FAIL

                                 1738, : , FAIL

                                 1739, : , FAIL

                       1740, : , [[41], [7, 520, 7, 82]]

                                 1741, : , FAIL

                                 1742, : , FAIL

                                 1743, : , FAIL

                                 1744, : , FAIL

             1745, : , [[41], [6, 10, 6, 5, 416, 5, 6, 10, 6, 82]]

                                 1746, : , FAIL

                                 1747, : , FAIL

                                 1748, : , FAIL

                                 1749, : , FAIL

                       1750, : , [[41], [6, 2090, 6, 82]]

                 1751, : , [[41], [5, 5, 11, 41, 11, 5, 5, 82]]

                        1752, : , [[41], [5, 5, 5, 82]]

                                 1753, : , FAIL

                                 1754, : , FAIL

                     1755, : , [[41], [5, 8, 15, 8, 5, 82]]

                 1756, : , [[41], [5, 9, 10, 20, 10, 9, 5, 82]]

                        1757, : , [[41], [5, 10, 5, 82]]

                        1758, : , [[41], [5, 12, 5, 82]]

                                 1759, : , FAIL

                        1760, : , [[41], [5, 19, 5, 82]]

                        1761, : , [[41], [5, 26, 5, 82]]

                        1762, : , [[41], [5, 40, 5, 82]]

                           1763, : , [[41], [5, 82]]

                          1765, : , [[42], [420, 84]]

                          1766, : , [[42], [210, 84]]

                          1767, : , [[42], [140, 84]]

                          1768, : , [[42], [105, 84]]

                             1769, : , [[42], [84]]

                           1770, : , [[42], [70, 84]]

                           1771, : , [[42], [60, 84]]

                                 1772, : , FAIL

                                 1773, : , FAIL

                           1774, : , [[42], [42, 84]]

                                 1775, : , FAIL

                           1776, : , [[42], [35, 84]]

                                 1777, : , FAIL

                           1778, : , [[42], [30, 84]]

                           1779, : , [[42], [28, 84]]

                                 1780, : , FAIL

                                 1781, : , FAIL

                                 1782, : , FAIL

                                 1783, : , FAIL

                           1784, : , [[42], [21, 84]]

                           1785, : , [[42], [20, 84]]

                                 1786, : , FAIL

                                 1787, : , FAIL

                                 1788, : , FAIL

                                 1789, : , FAIL

                                 1790, : , FAIL

                                 1791, : , FAIL

                           1792, : , [[42], [15, 84]]

                                 1793, : , FAIL

                           1794, : , [[42], [14, 84]]

                                 1795, : , FAIL

                                 1796, : , FAIL

                                 1797, : , FAIL

                                 1798, : , FAIL

                           1799, : , [[42], [12, 84]]

                                 1800, : , FAIL

                                 1801, : , FAIL

                                 1802, : , FAIL

                   1803, : , [[42], [10, 6, 140, 6, 10, 84]]

                                 1804, : , FAIL

                       1805, : , [[42], [10, 16, 10, 84]]

                           1806, : , [[42], [10, 84]]

                                 1807, : , FAIL

                                 1808, : , FAIL

                                 1809, : , FAIL

                                 1810, : , FAIL

                    1811, : , [[42], [8, 5, 211, 5, 8, 84]]

                                 1812, : , FAIL

                                 1813, : , FAIL

                                 1814, : , FAIL

                                 1815, : , FAIL

                                 1816, : , FAIL

        1817, : , [[42], [7, 5, 60, 266, 15, 92, 15, 266, 60, 5, 7, 84]]

                                 1818, : , FAIL

                                 1819, : , FAIL

   1820, : , [[42], [7, 8, 5, 16, 6, 5, 5, 13330, 5, 5, 6, 16, 5, 8, 7, 84]]

                                 1821, : , FAIL

                                 1822, : , FAIL

                                 1823, : , FAIL

                           1824, : , [[42], [7, 84]]

                                 1825, : , FAIL

                    1826, : , [[42], [6, 6, 5340, 6, 6, 84]]

                                 1827, : , FAIL

                                 1828, : , FAIL

                                 1829, : , FAIL

                                 1830, : , FAIL

                                 1831, : , FAIL

                                 1832, : , FAIL

                                 1833, : , FAIL

                           1834, : , [[42], [6, 84]]

                                 1835, : , FAIL

                                 1836, : , FAIL

                                 1837, : , FAIL

                                 1838, : , FAIL

             1839, : , [[42], [5, 7, 8, 10, 142, 10, 8, 7, 5, 84]]

                                 1840, : , FAIL

                                 1841, : , FAIL

                                 1842, : , FAIL

                                 1843, : , FAIL

                                 1844, : , FAIL

                    1845, : , [[42], [5, 20, 10, 20, 5, 84]]

                                 1846, : , FAIL

                        1847, : , [[42], [5, 41, 5, 84]]

                           1848, : , [[42], [5, 84]]

                          1850, : , [[43], [430, 86]]

                          1851, : , [[43], [215, 86]]

                                 1852, : , FAIL

                                 1853, : , FAIL

                             1854, : , [[43], [86]]

                                 1855, : , FAIL

               1856, : , [[43], [61, 10, 18, 21, 18, 10, 61, 86]]

                                 1857, : , FAIL

                                 1858, : , FAIL

                           1859, : , [[43], [43, 86]]

                                 1860, : , FAIL

                                 1861, : , FAIL

                                 1862, : , FAIL

                                 1863, : , FAIL

                                 1864, : , FAIL

     1865, : , [[43], [26, 5, 13, 5, 12, 5, 430, 5, 12, 5, 13, 5, 26, 86]]

                       1866, : , [[43], [25, 14, 25, 86]]

                                 1867, : , FAIL

                                 1868, : , FAIL

                                 1869, : , FAIL

             1870, : , [[43], [20, 9, 13, 5, 6, 5, 13, 9, 20, 86]]

                                 1871, : , FAIL

                                 1872, : , FAIL

                                 1873, : , FAIL

                                 1874, : , FAIL

                                 1875, : , FAIL

                    1876, : , [[43], [15, 5, 60, 5, 15, 86]]

                                 1877, : , FAIL

                                 1878, : , FAIL

                                 1879, : , FAIL

                       1880, : , [[43], [13, 5, 13, 86]]

                                 1881, : , FAIL

                                 1882, : , FAIL

                                 1883, : , FAIL

                                 1884, : , FAIL

                      1885, : , [[43], [12, 2170, 12, 86]]

                                 1886, : , FAIL

                                 1887, : , FAIL

                                 1888, : , FAIL

                                 1889, : , FAIL

                    1890, : , [[43], [10, 9, 30, 9, 10, 86]]

                                 1891, : , FAIL

                           1892, : , [[43], [10, 86]]

                                 1893, : , FAIL

                                 1894, : , FAIL

                                 1895, : , FAIL

                                 1896, : , FAIL

                       1897, : , [[43], [9, 310, 9, 86]]

                   1898, : , [[43], [8, 6, 10890, 6, 8, 86]]

                                 1899, : , FAIL

                    1900, : , [[43], [8, 10, 22, 10, 8, 86]]

                                 1901, : , FAIL

                                 1902, : , FAIL

                                 1903, : , FAIL

                        1904, : , [[43], [7, 5, 7, 86]]

                                 1905, : , FAIL

                                 1906, : , FAIL

                                 1907, : , FAIL

                                 1908, : , FAIL

                                 1909, : , FAIL

                                 1910, : , FAIL

                    1911, : , [[43], [6, 5, 144, 5, 6, 86]]

                                 1912, : , FAIL

                                 1913, : , FAIL

                                 1914, : , FAIL

                                 1915, : , FAIL

                                 1916, : , FAIL

                                 1917, : , FAIL

                                 1918, : , FAIL

                                 1919, : , FAIL

                                 1920, : , FAIL

                                 1921, : , FAIL

                                 1922, : , FAIL

                                 1923, : , FAIL

                                 1924, : , FAIL

                        1925, : , [[43], [5, 6, 5, 86]]

                                 1926, : , FAIL

                                 1927, : , FAIL

                        1928, : , [[43], [5, 9, 5, 86]]

                                 1929, : , FAIL

1930, : , [[43], [

    5, 13, 7, 7, 5, 14, 18, 5, 13, 6, 16, 6, 13, 5, 18, 14, 5, 7, 7, 13, 5, 86]

    ]

             1931, : , [[43], [5, 16, 8, 10, 43, 10, 8, 16, 5, 86]]

                        1932, : , [[43], [5, 20, 5, 86]]

                                 1933, : , FAIL

                        1934, : , [[43], [5, 42, 5, 86]]

                           1935, : , [[43], [5, 86]]

                          1937, : , [[44], [440, 88]]

                          1938, : , [[44], [220, 88]]

                                 1939, : , FAIL

                          1940, : , [[44], [110, 88]]

                             1941, : , [[44], [88]]

                                 1942, : , FAIL

                                 1943, : , FAIL

                           1944, : , [[44], [55, 88]]

                                 1945, : , FAIL

                           1946, : , [[44], [44, 88]]

                           1947, : , [[44], [40, 88]]

                                 1948, : , FAIL

                                 1949, : , FAIL

                   1950, : , [[44], [31, 10, 16, 10, 31, 88]]

                                 1951, : , FAIL

                                 1952, : , FAIL

                1953, : , [[44], [25, 5, 15, 12, 15, 5, 25, 88]]

                                 1954, : , FAIL

                                 1955, : , FAIL

                           1956, : , [[44], [22, 88]]

                                 1957, : , FAIL

                           1958, : , [[44], [20, 88]]

                                 1959, : , FAIL

                                 1960, : , FAIL

                                 1961, : , FAIL

                                 1962, : , FAIL

                                 1963, : , FAIL

                                 1964, : , FAIL

                                 1965, : , FAIL

                                 1966, : , FAIL

                                 1967, : , FAIL

                                 1968, : , FAIL

                                 1969, : , FAIL

                   1970, : , [[44], [12, 5, 442, 5, 12, 88]]

                                 1971, : , FAIL

                                 1972, : , FAIL

                                 1973, : , FAIL

              1974, : , [[44], [11, 7, 5, 6, 8, 6, 5, 7, 11, 88]]

                                 1975, : , FAIL

                           1976, : , [[44], [11, 88]]

                                 1977, : , FAIL

                                 1978, : , FAIL

                                 1979, : , FAIL

                           1980, : , [[44], [10, 88]]

                                 1981, : , FAIL

                                 1982, : , FAIL

            1983, : , [[44], [9, 11, 5, 22, 148, 22, 5, 11, 9, 88]]

                                 1984, : , FAIL

                                 1985, : , FAIL

               1986, : , [[44], [8, 5, 5, 5, 28, 5, 5, 5, 8, 88]]

                                 1987, : , FAIL

                                 1988, : , FAIL

                                 1989, : , FAIL

                                 1990, : , FAIL

                           1991, : , [[44], [8, 88]]

                                 1992, : , FAIL

                                 1993, : , FAIL

                                 1994, : , FAIL

           1995, : , [[44], [7, 9, 6, 5, 7, 2232, 7, 5, 6, 9, 7, 88]]

                                 1996, : , FAIL

                                 1997, : , FAIL

                                 1998, : , FAIL

                                 1999, : , FAIL

                                 2000, : , FAIL

                          2001, : , [[44], [6, 6, 88]]

                                 2002, : , FAIL

                                 2003, : , FAIL

                                 2004, : , FAIL

                                 2005, : , FAIL

                                 2006, : , FAIL

                                 2007, : , FAIL

                                 2008, : , FAIL

                                 2009, : , FAIL

                       2010, : , [[44], [6, 2240, 6, 88]]

              2011, : , [[44], [5, 5, 11, 5, 43, 5, 11, 5, 5, 88]]

         2012, : , [[44], [5, 5, 5, 10, 14, 560, 14, 10, 5, 5, 5, 88]]

          2013, : , [[44], [5, 6, 10, 21, 5, 28, 5, 21, 10, 6, 5, 88]]

                                 2014, : , FAIL

                        2015, : , [[44], [5, 7, 5, 88]]

                        2016, : , [[44], [5, 8, 5, 88]]

                                 2017, : , FAIL

          2018, : , [[44], [5, 11, 5, 5, 10, 44, 10, 5, 5, 11, 5, 88]]

                        2019, : , [[44], [5, 13, 5, 88]]

                        2020, : , [[44], [5, 16, 5, 88]]

                    2021, : , [[44], [5, 21, 10, 21, 5, 88]]

                        2022, : , [[44], [5, 28, 5, 88]]

                        2023, : , [[44], [5, 43, 5, 88]]

                           2024, : , [[44], [5, 88]]

                          2026, : , [[45], [450, 90]]

                          2027, : , [[45], [225, 90]]

                          2028, : , [[45], [150, 90]]

                 2029, : , [[45], [112, 9, 11260, 9, 112, 90]]

                             2030, : , [[45], [90]]

                           2031, : , [[45], [75, 90]]

                                 2032, : , FAIL

                                 2033, : , FAIL

                           2034, : , [[45], [50, 90]]

                           2035, : , [[45], [45, 90]]

                                 2036, : , FAIL

                   2037, : , [[45], [37, 9, 3760, 9, 37, 90]]

                                 2038, : , FAIL

                                 2039, : , FAIL

                           2040, : , [[45], [30, 90]]

                                 2041, : , FAIL

                                 2042, : , FAIL

                           2043, : , [[45], [25, 90]]

                                 2044, : , FAIL

                   2045, : , [[45], [22, 9, 2260, 9, 22, 90]]

       2046, : , [[45], [21, 10, 15, 45, 6, 2260, 6, 45, 15, 10, 21, 90]]

                                 2047, : , FAIL

                                 2048, : , FAIL

                                 2049, : , FAIL

                           2050, : , [[45], [18, 90]]

       2051, : , [[45], [17, 13, 6, 10, 13, 161, 13, 10, 6, 13, 17, 90]]

             2052, : , [[45], [16, 6, 5, 12, 16, 12, 5, 6, 16, 90]]

                                 2053, : , FAIL

        2054, : , [[45], [15, 8, 6, 6, 185, 2266, 185, 6, 6, 8, 15, 90]]

                           2055, : , [[45], [15, 90]]

                                 2056, : , FAIL

                                 2057, : , FAIL

                                 2058, : , FAIL

                                 2059, : , FAIL

                                 2060, : , FAIL

                   2061, : , [[45], [12, 9, 1260, 9, 12, 90]]

                                 2062, : , FAIL

                                 2063, : , FAIL

                                 2064, : , FAIL

                                 2065, : , FAIL

                                 2066, : , FAIL

                       2067, : , [[45], [10, 6, 10, 90]]

                                 2068, : , FAIL

                                 2069, : , FAIL

                           2070, : , [[45], [10, 90]]

                                 2071, : , FAIL

                                 2072, : , FAIL

                                 2073, : , FAIL

                                 2074, : , FAIL

                           2075, : , [[45], [9, 90]]

       2076, : , [[45], [8, 5, 7, 20, 18, 6, 6, 6, 18, 20, 7, 5, 8, 90]]

                                 2077, : , FAIL

                                 2078, : , FAIL

              2079, : , [[45], [8, 12, 5, 6, 7, 6, 5, 12, 8, 90]]

                                 2080, : , FAIL

                   2081, : , [[45], [8, 55, 456, 55, 8, 90]]

                                 2082, : , FAIL

                                 2083, : , FAIL

                                 2084, : , FAIL

                    2085, : , [[45], [7, 9, 760, 9, 7, 90]]

                                 2086, : , FAIL

                                 2087, : , FAIL

                                 2088, : , FAIL

                                 2089, : , FAIL

                     2090, : , [[45], [6, 5, 44, 5, 6, 90]]

                                 2091, : , FAIL

                                 2092, : , FAIL

                                 2093, : , FAIL

                                 2094, : , FAIL

                                 2095, : , FAIL

                                 2096, : , FAIL

                                 2097, : , FAIL

                                 2098, : , FAIL

                                 2099, : , FAIL

                           2100, : , [[45], [6, 90]]

                     2101, : , [[45], [5, 5, 40, 5, 5, 90]]

                                 2102, : , FAIL

                     2103, : , [[45], [5, 6, 75, 6, 5, 90]]

                                 2104, : , FAIL

                                 2105, : , FAIL

                                 2106, : , FAIL

                                 2107, : , FAIL

                2108, : , [[45], [5, 10, 10, 22, 10, 10, 5, 90]]

                                 2109, : , FAIL

                                 2110, : , FAIL

                                 2111, : , FAIL

                        2112, : , [[45], [5, 21, 5, 90]]

                                 2113, : , FAIL

                        2114, : , [[45], [5, 44, 5, 90]]

                           2115, : , [[45], [5, 90]]

                          2117, : , [[46], [460, 92]]

                          2118, : , [[46], [230, 92]]

                                 2119, : , FAIL

                          2120, : , [[46], [115, 92]]

                             2121, : , [[46], [92]]

                                 2122, : , FAIL

                                 2123, : , FAIL

                                 2124, : , FAIL

                                 2125, : , FAIL

                           2126, : , [[46], [46, 92]]

                                 2127, : , FAIL

                                 2128, : , FAIL

                                 2129, : , FAIL

                                 2130, : , FAIL

                                 2131, : , FAIL

                                 2132, : , FAIL

                                 2133, : , FAIL

                       2134, : , [[46], [25, 8, 25, 92]]

                                 2135, : , FAIL

                           2136, : , [[46], [23, 92]]

                                 2137, : , FAIL

            2138, : , [[46], [20, 5, 26, 20, 18, 20, 26, 5, 20, 92]]

                           2139, : , [[46], [20, 92]]

                                 2140, : , FAIL

                                 2141, : , FAIL

                                 2142, : , FAIL

                                 2143, : , FAIL

        2144, : , [[46], [16, 10, 13, 5, 65, 23, 65, 5, 13, 10, 16, 92]]

                    2145, : , [[46], [15, 5, 10, 5, 15, 92]]

                                 2146, : , FAIL

                                 2147, : , FAIL

                                 2148, : , FAIL

            2149, : , [[46], [13, 5, 153, 8, 12, 8, 153, 5, 13, 92]]

                                 2150, : , FAIL

                       2151, : , [[46], [13, 25, 13, 92]]

                                 2152, : , FAIL

                                 2153, : , FAIL

                                 2154, : , FAIL

                                 2155, : , FAIL

                   2156, : , [[46], [11, 9, 210, 9, 11, 92]]

                                 2157, : , FAIL

                                 2158, : , FAIL

                                 2159, : , FAIL

                                 2160, : , FAIL

                                 2161, : , FAIL

                           2162, : , [[46], [10, 92]]

                                 2163, : , FAIL

                                 2164, : , FAIL

                                 2165, : , FAIL

                                 2166, : , FAIL

                                 2167, : , FAIL

                 2168, : , [[46], [8, 5, 9, 290, 9, 5, 8, 92]]

                                 2169, : , FAIL

                                 2170, : , FAIL

                 2171, : , [[46], [8, 11, 5, 34, 5, 11, 8, 92]]

                                 2172, : , FAIL

                                 2173, : , FAIL

                                 2174, : , FAIL

                                 2175, : , FAIL

                                 2176, : , FAIL

                                 2177, : , FAIL

                                 2178, : , FAIL

                                 2179, : , FAIL

                        2180, : , [[46], [7, 20, 7, 92]]

                                 2181, : , FAIL

                                 2182, : , FAIL

                                 2183, : , FAIL

                                 2184, : , FAIL

                                 2185, : , FAIL

                 2186, : , [[46], [6, 7, 5, 232, 5, 7, 6, 92]]

                                 2187, : , FAIL

                                 2188, : , FAIL

                                 2189, : , FAIL

                                 2190, : , FAIL

                                 2191, : , FAIL

                                 2192, : , FAIL

                                 2193, : , FAIL

                                 2194, : , FAIL

                                 2195, : , FAIL

                     2196, : , [[46], [5, 6, 22, 6, 5, 92]]

                                 2197, : , FAIL

                                 2198, : , FAIL

       2199, : , [[46], [5, 8, 12, 5, 5, 15, 15, 15, 5, 5, 12, 8, 5, 92]]

                                 2200, : , FAIL

                                 2201, : , FAIL

                                 2202, : , FAIL

                                 2203, : , FAIL

                                 2204, : , FAIL

                    2205, : , [[46], [5, 22, 10, 22, 5, 92]]

            2206, : , [[46], [5, 30, 15, 10, 46, 10, 15, 30, 5, 92]]

                        2207, : , [[46], [5, 45, 5, 92]]

                           2208, : , [[46], [5, 92]]

                          2210, : , [[47], [470, 94]]

                          2211, : , [[47], [235, 94]]

                                 2212, : , FAIL

                                 2213, : , FAIL

                             2214, : , [[47], [94]]

                                 2215, : , FAIL

                                 2216, : , FAIL

                                 2217, : , FAIL

                                 2218, : , FAIL

                           2219, : , [[47], [47, 94]]

                                 2220, : , FAIL

                                 2221, : , FAIL

                                 2222, : , FAIL

                                 2223, : , FAIL

                                 2224, : , FAIL

                                 2225, : , FAIL

                                 2226, : , FAIL

                                 2227, : , FAIL

                                 2228, : , FAIL

                                 2229, : , FAIL

                                 2230, : , FAIL

               2231, : , [[47], [21, 11, 5, 1179, 5, 11, 21, 94]]

                       2232, : , [[47], [20, 10, 20, 94]]

                                 2233, : , FAIL

                                 2234, : , FAIL

        2235, : , [[47], [18, 38, 10, 8, 5, 2362, 5, 8, 10, 38, 18, 94]]

                                 2236, : , FAIL

                                 2237, : , FAIL

                                 2238, : , FAIL

                                 2239, : , FAIL

                       2240, : , [[47], [15, 23, 15, 94]]

                                 2241, : , FAIL

                                 2242, : , FAIL

                                 2243, : , FAIL

                       2244, : , [[47], [13, 10, 13, 94]]

                                 2245, : , FAIL

                                 2246, : , FAIL

                                 2247, : , FAIL

                                 2248, : , FAIL

                                 2249, : , FAIL

                                 2250, : , FAIL

                   2251, : , [[47], [11, 20, 9, 20, 11, 94]]

                                 2252, : , FAIL

                                 2253, : , FAIL

                         2254, : , [[47], [10, 10, 94]]

                       2255, : , [[47], [10, 18, 10, 94]]

                           2256, : , [[47], [10, 94]]

                                 2257, : , FAIL

                                 2258, : , FAIL

                                 2259, : , FAIL

                                 2260, : , FAIL

                                 2261, : , FAIL

                                 2262, : , FAIL

                                 2263, : , FAIL

                                 2264, : , FAIL

                                 2265, : , FAIL

                                 2266, : , FAIL

                                 2267, : , FAIL

                                 2268, : , FAIL

                                 2269, : , FAIL

                                 2270, : , FAIL

                                 2271, : , FAIL

                                 2272, : , FAIL

                                 2273, : , FAIL

                                 2274, : , FAIL

                                 2275, : , FAIL

                                 2276, : , FAIL

                                 2277, : , FAIL

                                 2278, : , FAIL

                                 2279, : , FAIL

                                 2280, : , FAIL

                                 2281, : , FAIL

                                 2282, : , FAIL

                                 2283, : , FAIL

                                 2284, : , FAIL

                                 2285, : , FAIL

                                 2286, : , FAIL

                                 2287, : , FAIL

                       2288, : , [[47], [6, 2390, 6, 94]]

                     2289, : , [[47], [5, 5, 12, 5, 5, 94]]

                                 2290, : , FAIL

                                 2291, : , FAIL

                        2292, : , [[47], [5, 6, 5, 94]]

                                 2293, : , FAIL

              2294, : , [[47], [5, 8, 8, 10, 12, 10, 8, 8, 5, 94]]

                                 2295, : , FAIL

                        2296, : , [[47], [5, 10, 5, 94]]

                                 2297, : , FAIL

                        2298, : , [[47], [5, 14, 5, 94]]

                                 2299, : , FAIL

                        2300, : , [[47], [5, 22, 5, 94]]

                        2301, : , [[47], [5, 30, 5, 94]]

                        2302, : , [[47], [5, 46, 5, 94]]

                           2303, : , [[47], [5, 94]]

                          2305, : , [[48], [480, 96]]

                          2306, : , [[48], [240, 96]]

                          2307, : , [[48], [160, 96]]

                          2308, : , [[48], [120, 96]]

                             2309, : , [[48], [96]]

                           2310, : , [[48], [80, 96]]

                                 2311, : , FAIL

                           2312, : , [[48], [60, 96]]

                                 2313, : , FAIL

                           2314, : , [[48], [48, 96]]

                                 2315, : , FAIL

                           2316, : , [[48], [40, 96]]

                                 2317, : , FAIL

                                 2318, : , FAIL

                           2319, : , [[48], [32, 96]]

                           2320, : , [[48], [30, 96]]

                                 2321, : , FAIL

                                 2322, : , FAIL

     2323, : , [[48], [25, 15, 5, 6, 10, 10, 20, 10, 10, 6, 5, 15, 25, 96]]

                           2324, : , [[48], [24, 96]]

               2325, : , [[48], [22, 5, 10, 2410, 10, 5, 22, 96]]

                                 2326, : , FAIL

                                 2327, : , FAIL

                           2328, : , [[48], [20, 96]]

                                 2329, : , FAIL

                                 2330, : , FAIL

                   2331, : , [[48], [17, 6, 190, 6, 17, 96]]

                2332, : , [[48], [17, 25, 7, 10, 7, 25, 17, 96]]

                                 2333, : , FAIL

                           2334, : , [[48], [16, 96]]

                       2335, : , [[48], [15, 9, 15, 96]]

                           2336, : , [[48], [15, 96]]

                                 2337, : , FAIL

                   2338, : , [[48], [14, 29, 10, 29, 14, 96]]

                                 2339, : , FAIL

2340, : ,

    [[48], [13, 12, 5, 48, 11, 10, 13, 268, 13, 10, 11, 48, 5, 12, 13, 96]]

                                 2341, : , FAIL

                                 2342, : , FAIL

                                 2343, : , FAIL

                           2344, : , [[48], [12, 96]]

                                 2345, : , FAIL

                                 2346, : , FAIL

                                 2347, : , FAIL

                                 2348, : , FAIL

                                 2349, : , FAIL

                                 2350, : , FAIL

                                 2351, : , FAIL

                           2352, : , [[48], [10, 96]]

                                 2353, : , FAIL

                                 2354, : , FAIL

                                 2355, : , FAIL

                                 2356, : , FAIL

                                 2357, : , FAIL

        2358, : , [[48], [8, 5, 15, 5, 5, 5, 8, 5, 5, 5, 15, 5, 8, 96]]

                                 2359, : , FAIL

                                 2360, : , FAIL

                                 2361, : , FAIL

                                 2362, : , FAIL

                                 2363, : , FAIL

                           2364, : , [[48], [8, 96]]

                 2365, : , [[48], [7, 5, 11, 8, 11, 5, 7, 96]]

                                 2366, : , FAIL

                                 2367, : , FAIL

                                 2368, : , FAIL

                                 2369, : , FAIL

                2370, : , [[48], [7, 15, 12, 30, 12, 15, 7, 96]]

                                 2371, : , FAIL

                                 2372, : , FAIL

                                 2373, : , FAIL

                                 2374, : , FAIL

                                 2375, : , FAIL

                                 2376, : , FAIL

                                 2377, : , FAIL

        2378, : , [[48], [6, 9, 17, 26, 5, 60954, 5, 26, 17, 9, 6, 96]]

                                 2379, : , FAIL

                                 2380, : , FAIL

                                 2381, : , FAIL

                                 2382, : , FAIL

                                 2383, : , FAIL

                           2384, : , [[48], [6, 96]]

                                 2385, : , FAIL

                                 2386, : , FAIL

                        2387, : , [[48], [5, 5, 5, 96]]

                                 2388, : , FAIL

                                 2389, : , FAIL

                  2390, : , [[48], [5, 7, 5, 8, 5, 7, 5, 96]]

                                 2391, : , FAIL

               2392, : , [[48], [5, 9, 5, 7, 20, 7, 5, 9, 5, 96]]

                                 2393, : , FAIL

                        2394, : , [[48], [5, 12, 5, 96]]

                                 2395, : , FAIL

                                 2396, : , FAIL

                    2397, : , [[48], [5, 23, 10, 23, 5, 96]]

                                 2398, : , FAIL

                        2399, : , [[48], [5, 47, 5, 96]]

                           2400, : , [[48], [5, 96]]

                          2402, : , [[49], [490, 98]]

                          2403, : , [[49], [245, 98]]

                                 2404, : , FAIL

                                 2405, : , FAIL

                             2406, : , [[49], [98]]

                                 2407, : , FAIL

                           2408, : , [[49], [70, 98]]

                                 2409, : , FAIL

                       2410, : , [[49], [54, 10, 54, 98]]

                           2411, : , [[49], [49, 98]]

                                 2412, : , FAIL

                                 2413, : , FAIL

       2414, : , [[49], [37, 6, 6, 5, 7, 56, 10, 56, 7, 5, 6, 6, 37, 98]]

                           2415, : , [[49], [35, 98]]

                 2416, : , [[49], [32, 6, 5, 29, 5, 6, 32, 98]]

                                 2417, : , FAIL

                    2418, : , [[49], [28, 5, 6, 5, 28, 98]]

                                 2419, : , FAIL

                 2420, : , [[49], [25, 5, 5, 18, 5, 5, 25, 98]]

                                 2421, : , FAIL

                                 2422, : , FAIL

                                 2423, : , FAIL

                                 2424, : , FAIL

                                 2425, : , FAIL

                                 2426, : , FAIL

             2427, : , [[49], [18, 5, 8, 7, 245, 7, 8, 5, 18, 98]]

                                 2428, : , FAIL

                                 2429, : , FAIL

                                 2430, : , FAIL

                                 2431, : , FAIL

                2432, : , [[49], [15, 5, 6, 615, 6, 5, 15, 98]]

                                 2433, : , FAIL

                    2434, : , [[49], [14, 5, 8, 5, 14, 98]]

                                 2435, : , FAIL

                           2436, : , [[49], [14, 98]]

                                 2437, : , FAIL

                                 2438, : , FAIL

                                 2439, : , FAIL

                                 2440, : , FAIL

                                 2441, : , FAIL

                      2442, : , [[49], [12, 2470, 12, 98]]

                                 2443, : , FAIL

                                 2444, : , FAIL

                                 2445, : , FAIL

                                 2446, : , FAIL

                                 2447, : , FAIL

                       2448, : , [[49], [10, 10, 10, 98]]

                                 2449, : , FAIL

                           2450, : , [[49], [10, 98]]

                                 2451, : , FAIL

                                 2452, : , FAIL

                        2453, : , [[49], [9, 10, 9, 98]]

                                 2454, : , FAIL

         2455, : , [[49], [9, 40, 82, 10, 5, 18, 5, 10, 82, 40, 9, 98]]

                     2456, : , [[49], [8, 5, 23, 5, 8, 98]]

                                 2457, : , FAIL

                                 2458, : , FAIL

                   2459, : , [[49], [8, 10, 247, 10, 8, 98]]

                                 2460, : , FAIL

                   2461, : , [[49], [8, 23, 2480, 23, 8, 98]]

                                 2462, : , FAIL

                                 2463, : , FAIL

                                 2464, : , FAIL

                                 2465, : , FAIL

                                 2466, : , FAIL

                    2467, : , [[49], [7, 10, 9, 10, 7, 98]]

                                 2468, : , FAIL

                                 2469, : , FAIL

                                 2470, : , FAIL

                           2471, : , [[49], [7, 98]]

                     2472, : , [[49], [6, 5, 19, 5, 6, 98]]

                                 2473, : , FAIL

                                 2474, : , FAIL

                                 2475, : , FAIL

                                 2476, : , FAIL

                                 2477, : , FAIL

                                 2478, : , FAIL

                                 2479, : , FAIL

                                 2480, : , FAIL

                                 2481, : , FAIL

                   2482, : , [[49], [6, 50, 498, 50, 6, 98]]

                       2483, : , [[49], [6, 190, 6, 98]]

                     2484, : , [[49], [5, 5, 20, 5, 5, 98]]

                                 2485, : , FAIL

                                 2486, : , FAIL

                                 2487, : , FAIL

                                 2488, : , FAIL

                                 2489, : , FAIL

                        2490, : , [[49], [5, 8, 5, 98]]

                    2491, : , [[49], [5, 10, 49, 10, 5, 98]]

                2492, : , [[49], [5, 11, 10, 24, 10, 11, 5, 98]]

                                 2493, : , FAIL

                                 2494, : , FAIL

                        2495, : , [[49], [5, 18, 5, 98]]

                        2496, : , [[49], [5, 23, 5, 98]]

                                 2497, : , FAIL

                        2498, : , [[49], [5, 48, 5, 98]]

                           2499, : , [[49], [5, 98]]

               Finally, the sequence of periods (for the OEIS) is

[2, 4, FAIL, 2, FAIL, 2, 2, 2, 2, FAIL, 1, 2, 2, 2, 4, 2, 1, 4, FAIL, 2, 2, 2,
FAIL, 6, 1, 8, FAIL, 8, 4, 2, 2, 2, 2, 2, 1, 2, 6, FAIL, FAIL, 2, 4, 2, 2, 2, 
FAIL, FAIL, 1, 4, 2, FAIL, FAIL, 2, FAIL, FAIL, 4, 2, 2, 2, 6, 2, 1, FAIL, FAIL
, 2, FAIL, 2, FAIL, FAIL, FAIL, 4, 4, 2, 2, 2, 2, FAIL, 1, 2, FAIL, FAIL, 2, 2,
FAIL, FAIL, FAIL, FAIL, 2, FAIL, 4, 2, 2, 2, FAIL, 2, 1, 10, FAIL, FAIL, FAIL,
2, FAIL, FAIL, FAIL, 8, 6, 6, 4, FAIL, 4, 2, 2, 2, FAIL, FAIL, 1, FAIL, 4, 6, 
FAIL, 2, 2, FAIL, 8, FAIL, FAIL, FAIL, 6, 10, 4, 4, 4, 2, 2, 2, 2, 2, 1, 2, 
FAIL, 2, FAIL, 2, FAIL, 2, FAIL, FAIL, 2, 12, FAIL, FAIL, FAIL, 2, 6, 5, 4, 2,
2, 2, FAIL, FAIL, 1, 8, FAIL, FAIL, FAIL, 2, 4, FAIL, 2, 4, 6, FAIL, FAIL, FAIL
, 4, FAIL, FAIL, FAIL, 4, FAIL, 4, 2, 2, 2, FAIL, 2, 1, FAIL, 2, FAIL, FAIL, 2,
FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 4, 6, 4
, 4, 2, 2, 2, 2, FAIL, 1, 2, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 2, 
FAIL, 6, 6, FAIL, FAIL, FAIL, 18, FAIL, FAIL, 2, FAIL, 4, FAIL, 4, 2, 2, 2, 6,
2, 1, FAIL, 4, 2, FAIL, 2, FAIL, 12, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 2,
FAIL, FAIL, 4, FAIL, FAIL, FAIL, 10, 12, 6, 6, 4, 2, 2, 2, FAIL, FAIL, 1, 8, 
FAIL, FAIL, FAIL, 2, 4, FAIL, 34, FAIL, 4, 4, 2, 10, FAIL, FAIL, FAIL, 12, FAIL
, FAIL, 6, FAIL, FAIL, FAIL, 4, FAIL, 4, 4, 4, 2, 2, 2, 2, 2, 1, 2, FAIL, FAIL,
2, 2, FAIL, 2, FAIL, 6, 2, FAIL, FAIL, 2, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL
, FAIL, FAIL, FAIL, FAIL, 2, FAIL, 6, 6, FAIL, 4, 2, 2, 2, 8, 16, 1, FAIL, FAIL
, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 8, FAIL, 4, FAIL, FAIL, 2, FAIL, FAIL, FAIL,
FAIL, FAIL, FAIL, FAIL, 8, FAIL, FAIL, 4, FAIL, FAIL, FAIL, 4, 4, FAIL, 4, 2, 2
, 2, FAIL, 2, 1, FAIL, FAIL, 2, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 10, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, 4, 4, FAIL, 6, 4, 4, 2, 2, 2, 2, FAIL, 1, 2, 2, FAIL, FAIL, 2
, FAIL, FAIL, FAIL, 2, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 4
, FAIL, 4, 2, 2, 2, FAIL, 2, 1, FAIL, FAIL, FAIL, FAIL, 2, 2, FAIL, FAIL, 6, 
FAIL, FAIL, FAIL, 10, FAIL, 2, 4, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 8, FAIL, 
FAIL, FAIL, 6, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, 4, 2, 2
, 2, FAIL, FAIL, 1, FAIL, 6, FAIL, FAIL, 2, 4, FAIL, FAIL, FAIL, 4, 4, FAIL, 
FAIL, FAIL, FAIL, FAIL, 6, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, 8, 8, FAIL
, FAIL, FAIL, FAIL, 10, FAIL, 4, 5, 4, FAIL, 4, 4, 4, 2, 2, 2, 2, 2, 1, 2, FAIL
, 2, 16, 2, FAIL, 2, FAIL, 4, 2, 2, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 2, 
FAIL, FAIL, 6, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 6, 8, FAIL, FAIL, FAIL, 2
, FAIL, 6, 10, 4, 6, FAIL, 4, 2, 2, 2, FAIL, FAIL, 1, FAIL, 4, FAIL, FAIL, 2, 
FAIL, FAIL, FAIL, 8, 18, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, 6, FAIL, 2, 8,
FAIL, FAIL, 20, FAIL, 4, FAIL, FAIL, FAIL, 4, FAIL, 14, FAIL, FAIL, FAIL, FAIL,
FAIL, 8, FAIL, FAIL, FAIL, 4, FAIL, 4, 2, 2, 2, 8, 2, 1, FAIL, FAIL, FAIL, FAIL
, 2, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 8,
3, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, 6, FAIL, 
FAIL, FAIL, FAIL, FAIL, 4, 6, FAIL, 4, FAIL, 6, 4, 4, 2, 2, 2, 2, FAIL, 1, 2, 
FAIL, FAIL, 2, 2, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, 2, FAIL, 10, FAIL, 
FAIL, FAIL, FAIL, 8, 4, 2, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, 4, FAIL, 12, FAIL, FAIL, FAIL, 2, 10, 4, 4, FAIL, 6, 4, FAIL, 4, 2,
2, 2, 10, 2, 1, FAIL, 2, 2, FAIL, 2, 4, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL,
FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, 12, FAIL, FAIL, 
FAIL, FAIL, 2, 8, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, 
FAIL, 10, 6, FAIL, FAIL, 6, FAIL, 4, 2, 2, 2, FAIL, FAIL, 1, FAIL, FAIL, FAIL,
FAIL, 2, FAIL, FAIL, FAIL, 4, 10, FAIL, FAIL, FAIL, 4, FAIL, 20, FAIL, FAIL, 
FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 6, FAIL, FAIL, 10, 8, FAIL,
FAIL, 8, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, 8, FAIL, 4, 4
, 4, 4, 4, 2, 2, 2, 2, 2, 1, 2, FAIL, FAIL, FAIL, 2, FAIL, 2, FAIL, FAIL, 2, 6,
FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 2, FAIL
, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL, FAIL, FAIL, FAIL, 8, FAIL,
FAIL, FAIL, 6, FAIL, 2, 10, 8, FAIL, FAIL, FAIL, 20, 6, FAIL, 4, 2, 2, 2, FAIL,
FAIL, 1, FAIL, FAIL, FAIL, FAIL, 2, FAIL, 8, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL
, 8, FAIL, FAIL, FAIL, FAIL, 6, 4, 4, FAIL, FAIL, 4, FAIL, 2, FAIL, 4, 8, 6, 
FAIL, FAIL, FAIL, 6, 10, FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, 8, FAIL, 4, FAIL, FAIL, FAIL, 4, FAIL, 4, 2, 2, 2, FAIL, 2, 1
, FAIL, FAIL, 2, FAIL, 2, FAIL, FAIL, FAIL, 16, FAIL, 2, 16, FAIL, 8, 2, FAIL,
FAIL, 6, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 4, 2, FAIL, FAIL, FAIL, 10,
FAIL, 6, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 8, FAIL, FAIL, 6, FAIL, 
FAIL, FAIL, 4, FAIL, 6, FAIL, FAIL, 4, FAIL, 6, 4, 4, 2, 2, 2, 2, FAIL, 1, 2, 
FAIL, FAIL, FAIL, 2, 2, FAIL, 10, FAIL, 2, FAIL, 4, FAIL, FAIL, FAIL, 4, 2, 
FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 8, 2, 8, FAIL, 2, FAIL, FAIL, FAIL, 6, FAIL
, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, 20, FAIL, 14, FAIL, FAIL, FAIL, FAIL,
FAIL, FAIL, 2, FAIL, FAIL, FAIL, 8, FAIL, FAIL, FAIL, 4, FAIL, 4, 2, 2, 2, FAIL
, 2, 1, FAIL, FAIL, FAIL, FAIL, 2, 6, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, 12
, 2, FAIL, 6, 6, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, 11, 2, FAIL
, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 12, FAIL, 9, 6, FAIL, FAIL, FAIL, 6
, FAIL, FAIL, 10, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, FAIL, 4, FAIL, 4, 6, 
FAIL, 4, 2, 2, 2, FAIL, FAIL, 1, FAIL, 2, FAIL, FAIL, 2, FAIL, FAIL, 6, 2, FAIL
, 20, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, 2, FAIL, FAIL, FAIL, 12, 
FAIL, FAIL, 4, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 4, FAIL, FAIL, FAIL, FAIL, FAIL
, FAIL, 28, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL
, 4, FAIL, FAIL, 4, 4, FAIL, 4, FAIL, 4, 4, 4, 2, 2, 2, 2, 2, 1, 2, FAIL, 2, 2,
2, FAIL, 2, FAIL, FAIL, 2, FAIL, 6, 2, FAIL, 2, FAIL, FAIL, FAIL, 2, FAIL, FAIL
, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 2, 
FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL
, FAIL, 6, FAIL, FAIL, FAIL, 2, FAIL, 8, FAIL, 8, FAIL, FAIL, 10, 6, 6, FAIL, 4
, 2, 2, 2, FAIL, FAIL, 1, FAIL, FAIL, 14, 6, 2, FAIL, FAIL, FAIL, 6, FAIL, FAIL
, FAIL, 6, FAIL, FAIL, FAIL, 12, FAIL, 4, FAIL, FAIL, FAIL, FAIL, FAIL, 8, 4, 
FAIL, FAIL, FAIL, FAIL, 4, 2, FAIL, 8, FAIL, FAIL, 12, FAIL, FAIL, FAIL, 8, 8,
FAIL, FAIL, 4, 8, FAIL, FAIL, FAIL, FAIL, FAIL, 10, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, FAIL, FAIL, 8, FAIL, FAIL, FAIL, 4, FAIL, 4, 2, 2, 2, FAIL, 2
, 1, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL,
2, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 12, FAIL, 
FAIL, FAIL, 6, 6, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL
, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, 4, 12, FAIL, 16, FAIL, FAIL, 6, 4, FAIL, 6, 4, 4, 2, 2, 2, 2,
FAIL, 1, 2, FAIL, FAIL, FAIL, 2, FAIL, FAIL, 2, 8, 2, FAIL, 4, FAIL, 6, FAIL, 
FAIL, FAIL, 4, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 2, FAIL, FAIL, 8, FAIL, FAIL, 
16, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL,
10, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 8, FAIL, FAIL, FAIL,
FAIL, 2, 8, FAIL, 14, 4, FAIL, 4, FAIL, FAIL, 4, 4, FAIL, 4, 2, 2, 2, FAIL, 2,
1, FAIL, FAIL, 2, FAIL, 2, FAIL, FAIL, 6, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 2, 
FAIL, FAIL, FAIL, 20, 2, 6, FAIL, FAIL, FAIL, FAIL, 6, 6, FAIL, FAIL, 6, FAIL,
FAIL, 4, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL
, 24, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, 4, FAIL, FAIL, FAIL, FAIL, 6, 6, FAIL, FAIL, FAIL, FAIL, 6, 24, 4, 2, 2,
2, FAIL, FAIL, 1, FAIL, FAIL, FAIL, 4, 2, 24, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, 8, FAIL, FAIL, FAIL, FAIL, FAIL, 6, 4, FAIL, FAIL, FAIL, FAIL
, FAIL, FAIL, FAIL, 4, FAIL, FAIL, 14, 10, FAIL, 2, FAIL, FAIL, FAIL, 38, 6, 
FAIL, FAIL, FAIL, FAIL, 22, FAIL, FAIL, FAIL, 4, FAIL, FAIL, FAIL, 4, FAIL, 
FAIL, FAIL, FAIL, 10, FAIL, FAIL, FAIL, FAIL, 4, 8, 4, FAIL, FAIL, 6, 8, 4, 4,
FAIL, 4, 4, 4, 2, 2, 2, 2, 2, 1, 2, 2, FAIL, FAIL, 2, FAIL, 2, FAIL, 2, 2, FAIL
, FAIL, FAIL, FAIL, 2, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, 2, FAIL,
FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 6, FAIL, 4, 2, FAIL, FAIL, FAIL, FAIL, 6
, FAIL, FAIL, FAIL, FAIL, FAIL, 12, FAIL, FAIL, 16, FAIL, FAIL, FAIL, 2, FAIL,
6, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 10, 
FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, 4, 2, 2, 2, FAIL, FAIL, 1, FAIL, 8, FAIL
, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 14, 4, FAIL, FAIL, FAIL, 10, FAIL, 
FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL, FAIL, 4, FAIL, FAIL, FAIL, FAIL, 4, FAIL
, FAIL, FAIL, FAIL, 6, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 4, 6, FAIL, 6, FAIL, 
FAIL, FAIL, 4, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, FAIL, 4, FAIL, 
22, 10, 4, FAIL, 4, 2, 2, 2, FAIL, 2, 1, FAIL, FAIL, 2, FAIL, 2, 2, FAIL, FAIL,
6, FAIL, FAIL, 8, FAIL, FAIL, 2, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL, FAIL, 10, FAIL, 2, FAIL, FAIL, 
FAIL, 2, FAIL, FAIL, 10, FAIL, FAIL, 10, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL,
FAIL, 12, FAIL, FAIL, FAIL, FAIL, FAIL, 3, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL,
FAIL, FAIL, 4, 10, 12, 12, FAIL, 4, 4, FAIL, 12, 4, 4, 6, 4, 4, 2, 2, 2, 2, 6,
1, 2, FAIL, FAIL, 2, 2, FAIL, 6, FAIL, FAIL, 2, FAIL, FAIL, 2, FAIL, 6, 12, 
FAIL, FAIL, FAIL, 2, 12, 10, FAIL, 12, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL
, FAIL, FAIL, FAIL, FAIL, 4, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, 2, 14, FAIL
, FAIL, 10, FAIL, 6, FAIL, FAIL, FAIL, 6, FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL
, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 2, 6, FAIL, 6, FAIL, FAIL, FAIL, 
FAIL, 8, FAIL, FAIL, FAIL, 4, FAIL, 4, 2, 2, 2, FAIL, 2, 1, FAIL, FAIL, FAIL, 
FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, 2, FAIL, 10, 2, 
FAIL, FAIL, FAIL, FAIL, 12, 6, FAIL, FAIL, FAIL, 10, FAIL, 4, FAIL, FAIL, FAIL,
FAIL, 6, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 8, FAIL
, FAIL, 8, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, FAIL, FAIL,
FAIL, FAIL, 8, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, 
FAIL, 14, FAIL, FAIL, FAIL, FAIL, FAIL, 6, 10, 4, 2, 2, 2, FAIL, FAIL, 1, FAIL,
FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL
, FAIL, 8, 4, FAIL, FAIL, 12, FAIL, FAIL, FAIL, FAIL, 4, FAIL, FAIL, FAIL, 4, 
FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 6, FAIL, FAIL, 3, 4, 2, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, 4, 6, FAIL, FAIL, 4, FAIL, 10, FAIL, 4, FAIL, 4, FAIL, 4, 4, 4, 2,
2, 2, 2, 2, 1, 2, FAIL, 2, FAIL, 2, FAIL, 2, FAIL, FAIL, 2, 2, FAIL, FAIL, 14,
2, 8, FAIL, FAIL, 2, FAIL, FAIL, 6, 8, FAIL, 2, 4, 2, FAIL, 6, FAIL, 16, FAIL,
FAIL, FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 2, FAIL, FAIL, FAIL, 
FAIL, FAIL, 14, FAIL, FAIL, FAIL, FAIL, FAIL, 2, 8, FAIL, FAIL, FAIL, FAIL, 8,
FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 12, FAIL, FAIL, FAIL, FAIL, FAIL, 2,
FAIL, FAIL, 4, FAIL, FAIL, 8, FAIL, 10, FAIL, 4, FAIL, FAIL, 6, FAIL, 4, 2, 2,
2, FAIL, FAIL, 1, FAIL, 2, FAIL, 4, 2, FAIL, FAIL, 14, 2, 8, FAIL, 6, FAIL, 8,
FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 10, FAIL, FAIL, FAIL, FAIL, 8, FAIL, 6, 
FAIL, 2, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL, FAIL, FAIL, FAIL, FAIL, 4, FAIL
, 2, FAIL, FAIL, 4, FAIL, 12, 6, FAIL, FAIL, 6, FAIL, 6, FAIL, FAIL, FAIL, FAIL
, FAIL, 6, FAIL, FAIL, FAIL, 2, 6, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, FAIL, 
FAIL, FAIL, 6, 4, 6, FAIL, FAIL, FAIL, FAIL, FAIL, 4, 6, 8, FAIL, FAIL, 4, 4, 
FAIL, 4, 2]


       This ends this article, that took, 6167.174, seconds to generate.