[ [ 1, 12, 13, 17, 23, 28, 33, 49, 73, 77, 78, 81, 83, 88, 94, 98, 100, 112, 121, 127, 147, 152, 159, 
      161, 169, 187, 195, 201, 209, 213, 218, 219, 232, 236, 237, 239, 260, 273, 286, 291, 298, 306, 
      310, 311, 315, 318, 341, 345, 352, 356, 366, 372, 382, 384, 396, 403, 406, 409, 426, 454, 456, 
      464, 466, 467, 474, 476, 493, 506, 516, 529, 542, 550, 556, 561, 564, 566, 580, 590, 601, 608, 
      614, 629, 632, 636, 639, 646, 650, 651, 652, 655, 664, 665, 666, 667, 678, 679, 683, 701, 710, 
      716, 718, 747, 749, 755, 757, 770, 783, 790, 791, 803, 804, 807, 809, 816, 828, 832, 835, 837, 
      841, 843, 844, 859, 862, 871, 883, 925, 933, 945, 959, 963, 972, 986, 987, 990, 1005, 1006, 1010, 
      1014, 1020, 1026, 1028, 1033, 1041, 1042, 1049, 1054, 1063, 1072, 1073, 1084, 1088, 1096, 1101, 
      1115, 1119, 1124, 1141, 1145, 1151, 1152, 1179, 1181, 1198, 1216, 1222, 1227, 1237, 1238, 1245, 
      1255, 1262, 1264, 1275, 1277, 1287, 1289, 1291, 1292, 1308, 1311, 1313, 1314, 1317, 1318, 1323, 
      1329, 1344, 1351, 1353, 1356, 1358, 1360, 1382, 1385, 1389, 1390, 1395, 1401, 1418, 1420, 1427, 
      1430, 1432, 1434, 1441, 1447, 1458, 1462, 1468, 1478, 1480, 1520, 1525, 1541, 1545, 1553, 1564, 
      1580, 1586, 1587, 1608, 1609, 1623, 1632, 1638, 1642, 1643, 1649, 1655, 1656, 1658, 1664, 1667, 
      1685, 1689, 1700, 1701, 1705, 1714, 1720, 1724, 1725, 1746, 1748, 1753, 1757, 1774, 1781, 1783, 
      1794, 1800, 1805, 1807, 1814, 1818, 1820, 1822, 1830, 1836, 1846, 1860, 1868, 1876, 1885, 1888, 
      1896, 1897, 1916, 1920, 1926, 1931, 1934, 1936, 1943, 1959, 1970, 1973, 1974, 1984, 1995, 2004, 
      2005, 2016, 2021, 2025, 2031, 2033, 2038, 2047, 2054, 2056, 2072, 2080, 2083, 2085, 2110, 2112, 
      2134, 2156, 2163, 2170, 2183, 2187, 2190, 2193, 2197, 2213, 2215, 2217, 2227, 2228, 2238, 2239, 
      2253, 2263, 2277, 2291, 2302, 2308, 2309, 2311, 2316, 2321, 2327, 2330, 2337, 2342, 2347, 2348, 
      2359, 2361, 2392, 2398, 2413, 2415, 2418, 2421, 2426, 2435, 2438, 2452, 2492, 2498, 2504, 2507, 
      2513, 2515, 2528, 2537, 2560, 2561, 2564, 2566, 2570, 2593, 2605, 2607, 2617, 2619, 2624, 2647, 
      2653, 2654, 2658, 2669, 2670, 2671, 2672, 2676, 2683, 2686, 2698, 2701, 2702, 2725, 2730, 2737, 
      2740, 2742, 2755, 2759, 2764, 2766, 2785, 2799, 2803, 2809, 2810, 2820, 2821, 2828, 2835, 2840, 
      2846, 2847, 2851, 2859, 2860, 2870, 2875, 2876, 2881, 2888, 2892, 2894, 2897, 2902, 2904, 2910, 
      2918, 2920, 2928, 2953, 2960, 2962, 2967, 2973, 2975, 2978, 2980, 2982, 2989, 2992, 2995, 2997, 
      3000, 3003, 3017, 3021, 3028, 3030, 3040, 3054, 3061, 3071, 3079, 3084, 3110, 3111, 3114, 3122, 
      3128, 3145, 3148, 3149, 3151, 3177, 3178, 3181, 3183, 3185, 3187, 3202, 3213, 3216, 3230, 3236, 
      3248, 3259, 3260, 3267, 3272, 3273, 3276, 3278, 3293, 3305, 3311, 3319, 3323, 3330, 3339, 3344, 
      3349, 3353, 3356, 3361, 3365, 3371, 3372, 3374, 3379, 3393, 3399, 3402, 3403, 3405, 3409, 3430, 
      3439, 3442, 3443, 3445, 3447, 3459, 3464, 3487, 3489, 3518, 3523, 3531, 3544, 3554, 3561, 3576, 
      3580, 3590, 3597, 3602, 3625, 3629, 3633, 3640, 3646, 3649, 3655, 3658, 3659, 3661, 3666, 3670, 
      3671, 3677, 3680, 3691, 3694, 3701, 3710, 3711, 3721, 3736, 3737, 3746, 3750, 3752, 3766, 3770, 
      3781, 3796, 3798, 3822, 3838, 3842, 3856, 3859, 3862, 3881, 3883, 3899, 3909, 3918, 3969, 3974, 
      3976, 3981, 3986, 3987, 3998, 4004, 4009, 4023, 4027, 4028, 4030, 4046, 4048, 4050, 4056, 4058, 
      4080, 4081, 4087, 4089, 4099, 4107, 4111, 4124, 4126, 4130, 4147, 4151, 4157, 4158, 4162, 4167, 
      4172, 4180, 4181, 4189, 4190, 4196, 4202, 4203, 4205, 4206, 4209, 4218, 4236, 4261, 4262, 4270, 
      4280, 4285, 4305, 4308, 4315, 4318, 4321, 4324, 4326, 4330, 4333, 4338, 4341, 4347, 4350, 4366, 
      4372, 4389, 4392, 4394, 4397, 4411, 4423, 4430, 4444, 4449, 4470, 4474, 4479, 4481, 4506, 4511, 
      4516, 4524, 4530, 4532, 4535, 4537, 4538, 4540, 4547, 4548, 4566, 4577, 4580, 4584, 4585, 4607, 
      4611, 4612, 4626, 4629, 4637, 4642, 4646, 4652, 4662, 4668, 4671, 4680, 4691, 4694, 4699, 4707, 
      4715, 4716, 4730, 4733, 4737, 4746, 4751, 4755, 4772, 4789, 4803, 4812, 4820, 4823, 4825, 4836, 
      4841, 4842, 4850, 4855, 4856, 4857, 4864, 4880, 4882, 4886, 4887, 4905, 4914, 4921, 4923, 4934, 
      4935, 4942, 4945, 4950, 4954, 4960, 4963, 4968, 4970, 4978, 4990, 4991, 4995, 4996, 5003, 5006, 
      5009, 5015, 5027, 5031, 5032, 5034, 5036, 5048, 5050, 5056, 5065, 5069, 5093, 5099, 5115, 5116, 
      5122, 5127, 5138, 5141, 5146, 5151, 5157, 5174, 5182, 5184, 5191, 5200, 5204, 5212, 5221, 5229, 
      5243, 5246, 5260, 5261, 5291, 5293, 5300, 5312, 5323, 5329, 5335, 5337, 5343, 5354, 5356, 5359, 
      5370, 5374, 5375, 5391, 5393, 5402, 5414, 5419, 5421, 5431, 5435, 5452, 5456, 5462, 5463, 5465, 
      5467, 5478, 5495, 5506, 5508, 5509, 5517, 5532, 5535, 5545, 5547, 5549, 5558, 5561, 5569, 5572, 
      5584, 5595, 5622, 5628, 5645, 5646, 5650, 5654, 5660, 5676, 5685, 5687, 5688, 5690, 5696, 5714, 
      5716, 5722, 5723, 5732, 5737, 5744, 5753, 5772, 5782, 5795, 5800, 5802, 5804, 5811, 5812, 5815, 
      5822, 5831, 5832, 5834, 5848, 5851, 5854, 5856, 5865, 5873, 5874, 5881, 5887, 5889, 5893, 5905, 
      5908, 5916, 5922, 5927, 5929, 5931, 5940, 5943, 5945, 5952, 5958, 5970, 5978, 5980, 5989, 5990, 
      5991, 5997, 5998, 6004, 6008, 6012, 6021, 6034, 6042, 6047, 6050, 6056, 6063, 6068, 6079, 6097, 
      6099, 6103, 6108, 6111, 6117, 6122, 6140, 6144, 6145, 6159, 6160, 6167, 6181, 6186, 6189, 6192, 
      6199, 6207, 6209, 6225, 6231, 6245, 6246, 6266, 6276, 6281, 6285, 6290, 6294, 6308, 6317, 6318, 
      6319, 6323, 6324, 6336, 6341, 6345, 6347, 6355, 6369, 6389, 6392, 6400, 6417, 6423, 6429, 6432, 
      6433, 6444, 6453, 6464, 6466, 6467, 6471, 6472, 6473, 6475, 6481, 6492, 6507, 6515, 6530, 6541, 
      6543, 6550, 6554, 6557, 6570, 6574, 6578, 6583, 6587, 6596, 6598, 6602, 6617, 6636, 6640, 6642, 
      6655, 6656, 6661, 6668, 6677, 6681, 6683, 6690, 6695, 6704, 6722, 6724, 6728, 6729, 6744, 6750, 
      6763, 6780, 6782, 6783, 6790, 6804, 6805, 6813, 6815, 6817, 6818, 6833, 6834, 6842, 6857, 6861, 
      6863, 6871, 6883, 6888, 6889, 6892, 6901, 6906, 6916, 6918, 6933, 6942, 6943, 6945, 6952, 6962, 
      6969, 6977, 6986, 6990, 6998, 7006, 7010, 7016, 7038, 7041, 7043, 7050, 7053, 7060, 7063, 7065, 
      7067, 7073, 7074, 7081, 7087, 7096, 7100, 7103, 7108, 7114, 7115, 7129, 7138, 7163, 7171, 7175, 
      7179, 7180, 7186, 7193, 7200, 7201, 7211, 7218, 7225, 7235, 7237, 7241, 7246, 7248, 7256, 7259, 
      7263, 7280, 7293, 7303, 7331, 7340, 7353, 7356, 7373, 7374, 7375, 7403, 7404, 7414, 7431, 7453, 
      7454, 7456, 7469, 7471, 7491, 7492, 7521, 7524, 7526, 7533, 7543, 7555, 7558, 7562, 7563, 7566, 
      7569, 7589, 7594, 7604, 7612, 7614, 7615, 7623, 7624, 7627, 7629, 7632, 7633, 7637, 7660, 7667, 
      7672, 7677, 7683, 7688, 7692, 7696, 7698, 7700, 7705, 7711, 7718, 7721, 7722, 7727, 7750, 7755, 
      7759, 7762, 7777, 7782, 7795, 7799, 7806, 7815, 7816, 7823, 7826, 7841, 7848, 7866, 7882, 7888, 
      7898, 7904, 7905, 7921, 7943, 7946, 7949, 7954, 7981, 7987, 7989, 7991, 7994, 7996 ], 
  [ 1, 2, 7, 9, 11, 14, 18, 25, 29, 35, 40, 41, 43, 49, 55, 56, 59, 61, 63, 65, 69, 71, 73, 75, 79, 82, 
      84, 86, 90, 92, 95, 96, 100, 101, 105, 107, 109, 111, 112, 116, 120, 123, 124, 125, 127, 128, 
      130, 134, 135, 138, 139, 140, 143, 144, 145, 151, 157, 164, 171, 172, 173, 174, 181, 189, 190, 
      193, 201, 203, 209, 213, 215, 222, 224, 226, 228, 229, 234, 235, 237, 238, 239, 240, 244, 247, 
      249, 252, 257, 263, 266, 273, 278, 279, 280, 281, 287, 290, 292, 294, 295, 300, 304, 305, 306, 
      307, 311, 328, 331, 334, 335, 337, 342, 343, 346, 347, 350, 353, 354, 356, 357, 358, 359, 361, 
      369, 371, 372, 376, 379, 381, 383, 389, 391, 396, 398, 399, 405, 406, 411, 414, 415, 419, 420, 
      421, 422, 434, 436, 438, 444, 450, 452, 453, 455, 459, 462, 463, 468, 471, 473, 474, 477, 478, 
      486, 494, 496, 506, 512, 513, 516, 518, 519, 520, 525, 532, 533, 537, 539, 542, 544, 545, 550, 
      554, 558, 559, 562, 569, 574, 581, 586, 589, 590, 592, 593, 594, 595, 600, 601, 606, 607, 609, 
      614, 615, 617, 620, 622, 630, 631, 636, 638, 643, 649, 651, 654, 655, 659, 662, 664, 666, 669, 
      670, 671, 676, 680, 682, 684, 689, 690, 693, 699, 702, 703, 704, 706, 708, 711, 720, 721, 725, 
      729, 731, 747, 761, 763, 764, 766, 767, 768, 779, 786, 789, 790, 794, 796, 804, 808, 811, 813, 
      816, 817, 818, 819, 820, 822, 825, 827, 828, 829, 834, 842, 844, 845, 849, 851, 852, 853, 855, 
      859, 861, 870, 875, 876, 880, 881, 883, 884, 889, 891, 896, 899, 900, 902, 903, 904, 905, 908, 
      910, 911, 917, 918, 920, 922, 926, 933, 934, 938, 940, 941, 945, 947, 952, 953, 954, 957, 961, 
      962, 963, 966, 969, 971, 975, 976, 977, 980, 981, 983, 984, 987, 990, 991, 993, 1000, 1006, 1007, 
      1008, 1012, 1013, 1014, 1015, 1018, 1022, 1027, 1034, 1035, 1037, 1038, 1041, 1043, 1050, 1052, 
      1054, 1058, 1062, 1064, 1066, 1073, 1074, 1075, 1078, 1084, 1086, 1088, 1089, 1090, 1091, 1092, 
      1094, 1095, 1097, 1098, 1101, 1102, 1103, 1106, 1110, 1113, 1114, 1125, 1133, 1134, 1136, 1144, 
      1148, 1154, 1159, 1161, 1165, 1168, 1175, 1178, 1179, 1185, 1188, 1196, 1199, 1201, 1206, 1208, 
      1211, 1213, 1215, 1216, 1218, 1219, 1224, 1226, 1227, 1229, 1233, 1234, 1237, 1243, 1247, 1248, 
      1249, 1251, 1252, 1256, 1262, 1266, 1272, 1274, 1276, 1278, 1279, 1281, 1291, 1292, 1293, 1294, 
      1297, 1298, 1300, 1301, 1303, 1304, 1306, 1307, 1308, 1309, 1310, 1312, 1313, 1320, 1322, 1325, 
      1327, 1329, 1330, 1331, 1333, 1335, 1336, 1338, 1339, 1342, 1344, 1347, 1350, 1354, 1355, 1358, 
      1359, 1360, 1361, 1362, 1366, 1368, 1377, 1378, 1379, 1381, 1384, 1385, 1386, 1387, 1396, 1401, 
      1402, 1403, 1412, 1413, 1415, 1416, 1417, 1422, 1425, 1427, 1429, 1430, 1432, 1442, 1445, 1446, 
      1453, 1454, 1455, 1462, 1463, 1464, 1467, 1470, 1472, 1476, 1480, 1481, 1484, 1487, 1491, 1492, 
      1496, 1497, 1498, 1499, 1502, 1504, 1507, 1508, 1512, 1514, 1521, 1522, 1526, 1529, 1531, 1532, 
      1533, 1539, 1541, 1542, 1545, 1546, 1549, 1551, 1553, 1554, 1557, 1559, 1560, 1561, 1573, 1578, 
      1579, 1580, 1583, 1586, 1590, 1595, 1597, 1598, 1600, 1606, 1611, 1615, 1618, 1619, 1621, 1633, 
      1638, 1643, 1650, 1651, 1655, 1657, 1658, 1660, 1667, 1669, 1670, 1671, 1677, 1679, 1686, 1687, 
      1689, 1696, 1698, 1700, 1701, 1702, 1706, 1707, 1708, 1711, 1712, 1719, 1721, 1731, 1734, 1735, 
      1736, 1737, 1740, 1746, 1750, 1751, 1752, 1753, 1755, 1756, 1761, 1762, 1764, 1773, 1779, 1781, 
      1786, 1789, 1791, 1792, 1795, 1796, 1798, 1803, 1804, 1809, 1811, 1814, 1818, 1830, 1836, 1839, 
      1842, 1843, 1846, 1850, 1851, 1852, 1858, 1859, 1862, 1863, 1864, 1866, 1869, 1871, 1873, 1879, 
      1887, 1895, 1901, 1902, 1904, 1909, 1915, 1922, 1923, 1924, 1927, 1928, 1929, 1931, 1933, 1938, 
      1939, 1941, 1943, 1945, 1948, 1951, 1956, 1959, 1961, 1967, 1970, 1971, 1973, 1974, 1975, 1978, 
      1980, 1981, 1986, 1987, 1989, 1993, 1994, 1996, 2010, 2013, 2017, 2029, 2031, 2032, 2035, 2036, 
      2038, 2039, 2045, 2049, 2052, 2053, 2054, 2056, 2058, 2059, 2062, 2069, 2071, 2073, 2078, 2082, 
      2085, 2086, 2087, 2089, 2090, 2095, 2101, 2102, 2104, 2106, 2108, 2111, 2112, 2114, 2119, 2124, 
      2125, 2132, 2134, 2138, 2142, 2149, 2151, 2152, 2154, 2159, 2162, 2167, 2168, 2172, 2173, 2174, 
      2176, 2177, 2180, 2181, 2185, 2190, 2192, 2196, 2197, 2202, 2205, 2210, 2212, 2213, 2216, 2223, 
      2225, 2230, 2239, 2241, 2243, 2244, 2249, 2258, 2260, 2265, 2270, 2271, 2274, 2275, 2276, 2277, 
      2280, 2281, 2287, 2289, 2293, 2296, 2298, 2299, 2300, 2301, 2306, 2307, 2309, 2311, 2319, 2323, 
      2327, 2330, 2336, 2338, 2339, 2347, 2350, 2354, 2363, 2364, 2377, 2378, 2383, 2384, 2388, 2393, 
      2397, 2400, 2404, 2407, 2411, 2414, 2418, 2419, 2426, 2427, 2429, 2440, 2441, 2445, 2448, 2450, 
      2453, 2454, 2458, 2459, 2466, 2476, 2477, 2480, 2481, 2483, 2486, 2487, 2488, 2492, 2494, 2497, 
      2503, 2504, 2505, 2508, 2512, 2514, 2518, 2520, 2530, 2533, 2538, 2541, 2543, 2547, 2550, 2553, 
      2557, 2561, 2565, 2570, 2576, 2577, 2578, 2583, 2591, 2600, 2601, 2603, 2604, 2607, 2610, 2614, 
      2616, 2624, 2627, 2633, 2636, 2645, 2646, 2649, 2650, 2652, 2657, 2658, 2659, 2665, 2667, 2668, 
      2669, 2678, 2682, 2686, 2688, 2689, 2692, 2694, 2696, 2698, 2699, 2700, 2703, 2704, 2707, 2710, 
      2711, 2713, 2715, 2718, 2719, 2725, 2729, 2736, 2747, 2748, 2750, 2756, 2758, 2761, 2763, 2764, 
      2765, 2767, 2769, 2770, 2771, 2774, 2777, 2779, 2782, 2783, 2787, 2789, 2793, 2795, 2798, 2800, 
      2808, 2811, 2815, 2819, 2824, 2825, 2826, 2828, 2833, 2834, 2842, 2844, 2852, 2858, 2859, 2861, 
      2863, 2864, 2868, 2870, 2874, 2876, 2877, 2878, 2879, 2888, 2894, 2896, 2905, 2910, 2914, 2918, 
      2920, 2921, 2927, 2929, 2931, 2933, 2935, 2958, 2959, 2961, 2963, 2964, 2966, 2968, 2970, 2974, 
      2975, 2978, 2981, 2985, 2987, 2989, 2995, 2996, 2997, 2998, 3001, 3003, 3006, 3007, 3015, 3016, 
      3021, 3023, 3027, 3028, 3030, 3031, 3036, 3038, 3048, 3052, 3056, 3059, 3064, 3065, 3069, 3072, 
      3073, 3078, 3080, 3084, 3086, 3093, 3100, 3102, 3109, 3112, 3115, 3116, 3119, 3121, 3123, 3133, 
      3137, 3138, 3139, 3148, 3149, 3154, 3157, 3161, 3162, 3165, 3170, 3171, 3179, 3182, 3183, 3185, 
      3189, 3190, 3192, 3195, 3197, 3201, 3203, 3205, 3207, 3209, 3211, 3219, 3224, 3226, 3227, 3228, 
      3229, 3232, 3233, 3238, 3243, 3244, 3248, 3253, 3254, 3256, 3258, 3259, 3264, 3266, 3271, 3272, 
      3283, 3288, 3291, 3292, 3294, 3295, 3304, 3309, 3310, 3311, 3312, 3317, 3319, 3327, 3328, 3330, 
      3331, 3334, 3336, 3337, 3339, 3341, 3349, 3350, 3352, 3353, 3357, 3360, 3364, 3365, 3367, 3370, 
      3377, 3378, 3381, 3383, 3387, 3388, 3391, 3396, 3399, 3402, 3405, 3407, 3410, 3412, 3413, 3419, 
      3422, 3433, 3434, 3435, 3443, 3448, 3451, 3453, 3458, 3461, 3463, 3467, 3468, 3471, 3472, 3473, 
      3474, 3475, 3476, 3478, 3483, 3486, 3487, 3489, 3493, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 
      3503, 3507, 3508, 3510, 3512, 3520, 3523, 3525, 3532, 3534, 3537, 3538, 3540, 3544, 3546, 3547, 
      3552, 3556, 3557, 3559, 3560, 3561, 3564, 3573, 3574, 3576, 3579, 3583, 3586, 3588, 3591, 3594, 
      3595, 3597, 3598, 3601, 3603, 3605, 3606, 3608, 3609, 3613, 3614, 3631, 3634, 3638, 3643, 3645, 
      3647, 3649, 3651, 3663, 3664, 3673, 3680, 3681, 3685, 3691, 3693, 3695, 3697, 3698, 3699, 3701, 
      3702, 3705, 3706, 3707, 3709, 3710, 3713, 3714, 3719, 3720, 3722, 3725, 3727, 3728, 3730, 3733, 
      3738, 3746, 3747, 3751, 3753, 3754, 3758, 3760, 3762, 3765, 3766, 3771, 3775, 3776, 3778, 3780, 
      3785, 3787, 3788, 3793, 3797, 3799, 3800, 3802, 3803, 3804, 3805, 3807, 3814, 3816, 3820, 3827, 
      3830, 3833, 3834, 3835, 3837, 3838, 3840, 3842, 3843, 3844, 3849, 3850, 3851, 3852, 3857, 3858, 
      3859, 3861, 3862, 3881, 3888, 3889, 3893, 3894, 3899, 3906, 3907, 3913, 3915, 3917, 3921, 3926, 
      3930, 3932, 3936, 3940, 3947, 3948, 3950, 3952, 3956, 3961, 3966, 3968, 3970, 3973, 3975, 3980, 
      3983, 3984, 3985, 3986, 3987, 3990, 3993, 3994, 3998, 4001, 4003, 4005, 4011, 4013, 4015, 4016, 
      4017, 4019, 4021, 4032, 4033, 4034, 4036, 4038, 4042, 4045, 4046, 4049, 4050, 4053, 4058, 4059, 
      4064, 4069, 4072, 4073, 4075, 4077, 4079, 4081, 4084, 4086, 4087, 4091, 4093, 4094, 4096, 4097, 
      4101, 4107, 4109, 4111, 4114, 4116, 4121, 4128, 4130, 4137, 4138, 4139, 4144, 4145, 4149, 4154, 
      4155, 4157, 4158, 4159, 4162, 4164, 4172, 4173, 4174, 4175, 4177, 4180, 4185, 4187, 4188, 4189, 
      4192, 4195, 4197, 4200, 4205, 4207, 4209, 4211, 4215, 4219, 4220, 4221, 4222, 4226, 4229, 4233, 
      4235, 4241, 4246, 4247, 4248, 4254, 4258, 4262, 4264, 4265, 4277, 4280, 4284, 4286, 4296, 4297, 
      4301, 4308, 4310, 4312, 4318, 4321, 4325, 4327, 4328, 4333, 4339, 4340, 4341, 4343, 4348, 4349, 
      4359, 4369, 4370, 4373, 4374, 4375, 4379, 4383, 4399, 4401, 4404, 4406, 4407, 4408, 4413, 4414, 
      4416, 4419, 4421, 4423, 4437, 4440, 4448, 4450, 4455, 4459, 4460, 4463, 4466, 4469, 4470, 4472, 
      4474, 4481, 4483, 4485, 4488, 4491, 4493, 4494, 4496, 4501, 4503, 4504, 4510, 4512, 4513, 4514, 
      4516, 4517, 4521, 4522, 4524, 4528, 4529, 4539, 4541, 4543, 4545, 4552, 4557, 4559, 4562, 4563, 
      4567, 4572, 4573, 4577, 4579, 4581, 4583, 4584, 4586, 4588, 4590, 4591, 4592, 4594, 4597, 4598, 
      4600, 4601, 4604, 4607, 4610, 4614, 4618, 4619, 4624, 4627, 4629, 4630, 4632, 4633, 4638, 4639, 
      4642, 4644, 4647, 4649, 4650, 4651, 4653, 4655, 4657, 4658, 4660, 4662, 4664, 4671, 4672, 4673, 
      4674, 4677, 4679, 4681, 4684, 4685, 4687, 4689, 4694, 4695, 4697, 4698, 4699, 4700, 4701, 4704, 
      4711, 4712, 4717, 4720, 4727, 4729, 4742, 4743, 4747, 4748, 4751, 4754, 4755, 4759, 4762, 4763, 
      4764, 4767, 4771, 4772, 4774, 4782, 4784, 4788, 4792, 4799, 4805, 4806, 4808, 4809, 4810, 4811, 
      4814, 4815, 4816, 4817, 4818, 4819, 4823, 4829, 4838, 4840, 4849, 4853, 4856, 4859, 4860, 4862, 
      4867, 4869, 4881, 4897, 4902, 4910, 4911, 4918, 4920, 4921, 4924, 4927, 4929, 4932, 4933, 4934, 
      4935, 4940, 4941, 4944, 4946, 4949, 4955, 4957, 4961, 4962, 4963, 4967, 4968, 4969, 4975, 4978, 
      4979, 4986, 4988, 4990, 4992, 4995, 5001, 5009, 5013, 5024, 5028, 5029, 5031, 5039, 5048, 5053, 
      5054, 5056, 5059, 5061, 5065, 5067, 5075, 5076, 5078, 5079, 5080, 5086, 5090, 5097, 5100, 5103, 
      5110, 5111, 5115, 5117, 5119, 5123, 5127, 5129, 5135, 5138, 5139, 5145, 5150, 5155, 5160, 5161, 
      5166, 5170, 5171, 5172, 5173, 5174, 5176, 5177, 5185, 5188, 5194, 5196, 5197, 5200, 5201, 5203, 
      5205, 5211, 5226, 5228, 5229, 5230, 5231, 5232, 5235, 5237, 5238, 5239, 5247, 5249, 5253, 5257, 
      5264, 5265, 5268, 5271, 5272, 5273, 5280, 5282, 5288, 5289, 5290, 5291, 5295, 5297, 5299, 5300, 
      5301, 5307, 5309, 5312, 5313, 5314, 5325, 5327, 5329, 5330, 5334, 5336, 5339, 5342, 5345, 5350, 
      5352, 5354, 5355, 5359, 5363, 5368, 5372, 5373, 5377, 5383, 5386, 5387, 5391, 5394, 5396, 5400, 
      5401, 5410, 5413, 5416, 5418, 5421, 5422, 5425, 5427, 5428, 5433, 5436, 5441, 5443, 5444, 5446, 
      5449, 5454, 5456, 5457, 5460, 5461, 5464, 5465, 5469, 5477, 5479, 5482, 5486, 5487, 5491, 5492, 
      5494, 5499, 5501, 5502, 5508, 5510, 5511, 5516, 5518, 5519, 5522, 5523, 5528, 5529, 5539, 5540, 
      5546, 5547, 5550, 5556, 5560, 5566, 5567, 5571, 5575, 5578, 5583, 5584, 5585, 5587, 5591, 5593, 
      5606, 5609, 5611, 5613, 5620, 5623, 5624, 5625, 5627, 5632, 5633, 5634, 5637, 5639, 5644, 5645, 
      5654, 5661, 5662, 5663, 5665, 5668, 5680, 5690, 5692, 5699, 5700, 5701, 5705, 5706, 5709, 5712, 
      5713, 5714, 5716, 5718, 5720, 5730, 5732, 5737, 5739, 5740, 5742, 5748, 5750, 5751, 5754, 5756, 
      5759, 5761, 5767, 5768, 5772, 5776, 5782, 5785, 5786, 5793, 5798, 5799, 5800, 5804, 5807, 5808, 
      5814, 5820, 5821, 5823, 5824, 5829, 5832, 5836, 5842, 5847, 5848, 5849, 5851, 5858, 5860, 5867, 
      5876, 5877, 5879, 5881, 5883, 5888, 5894, 5896, 5897, 5901, 5904, 5907, 5908, 5910, 5912, 5913, 
      5914, 5920, 5921, 5925, 5926, 5931, 5933, 5936, 5937, 5943, 5946, 5947, 5948, 5949, 5950, 5957, 
      5958, 5959, 5960, 5963, 5967, 5968, 5969, 5975, 5976, 5982, 5984, 5986, 5994, 5998, 6000, 6001, 
      6002, 6003, 6004, 6005, 6010, 6016, 6017, 6023, 6028, 6032, 6033, 6039, 6048, 6050, 6051, 6053, 
      6057, 6058, 6061, 6062, 6065, 6069, 6073, 6077, 6082, 6083, 6084, 6086, 6087, 6088, 6094, 6096, 
      6098, 6102, 6107, 6108, 6110, 6112, 6114, 6115, 6118, 6121, 6125, 6131, 6132, 6134, 6135, 6144, 
      6146, 6147, 6148, 6154, 6155, 6156, 6159, 6160, 6164, 6165, 6169, 6173, 6174, 6177, 6183, 6185, 
      6189, 6191, 6194, 6198, 6200, 6201, 6205, 6208, 6210, 6215, 6219, 6225, 6228, 6231, 6236, 6241, 
      6250, 6257, 6261, 6263, 6267, 6269, 6273, 6274, 6283, 6292, 6293, 6294, 6297, 6303, 6308, 6309, 
      6322, 6323, 6327, 6328, 6332, 6336, 6340, 6343, 6347, 6348, 6354, 6358, 6360, 6371, 6372, 6374, 
      6375, 6376, 6377, 6379, 6382, 6383, 6387, 6390, 6391, 6394, 6401, 6402, 6405, 6411, 6412, 6415, 
      6418, 6433, 6435, 6436, 6437, 6441, 6442, 6443, 6446, 6451, 6453, 6455, 6456, 6461, 6462, 6463, 
      6465, 6467, 6471, 6478, 6480, 6481, 6483, 6495, 6498, 6501, 6504, 6506, 6513, 6515, 6516, 6518, 
      6520, 6522, 6524, 6529, 6530, 6532, 6537, 6539, 6545, 6547, 6548, 6551, 6554, 6555, 6560, 6564, 
      6565, 6566, 6567, 6569, 6574, 6576, 6577, 6578, 6579, 6582, 6583, 6584, 6585, 6589, 6590, 6593, 
      6594, 6595, 6598, 6600, 6602, 6606, 6612, 6616, 6618, 6620, 6621, 6623, 6626, 6634, 6637, 6638, 
      6641, 6642, 6643, 6644, 6647, 6650, 6660, 6662, 6663, 6673, 6685, 6686, 6695, 6698, 6703, 6706, 
      6707, 6710, 6712, 6718, 6722, 6727, 6733, 6739, 6740, 6754, 6758, 6765, 6768, 6770, 6772, 6776, 
      6777, 6778, 6779, 6782, 6783, 6787, 6788, 6789, 6794, 6796, 6799, 6801, 6804, 6811, 6813, 6815, 
      6819, 6821, 6824, 6826, 6830, 6832, 6838, 6839, 6840, 6841, 6842, 6844, 6846, 6848, 6849, 6850, 
      6854, 6857, 6859, 6862, 6868, 6869, 6871, 6873, 6874, 6876, 6878, 6881, 6884, 6887, 6890, 6891, 
      6894, 6895, 6896, 6904, 6905, 6906, 6907, 6908, 6909, 6910, 6911, 6912, 6914, 6916, 6920, 6921, 
      6923, 6925, 6926, 6928, 6931, 6933, 6943, 6945, 6947, 6952, 6955, 6957, 6962, 6963, 6964, 6967, 
      6968, 6969, 6973, 6976, 6979, 6985, 6987, 6992, 6994, 6995, 6996, 6997, 7005, 7007, 7010, 7012, 
      7014, 7015, 7017, 7020, 7021, 7030, 7034, 7035, 7039, 7042, 7043, 7044, 7047, 7051, 7052, 7054, 
      7055, 7059, 7062, 7063, 7066, 7067, 7070, 7072, 7081, 7083, 7086, 7089, 7090, 7093, 7094, 7097, 
      7098, 7109, 7110, 7111, 7112, 7116, 7118, 7127, 7128, 7130, 7137, 7138, 7142, 7144, 7148, 7153, 
      7155, 7157, 7160, 7164, 7169, 7172, 7174, 7175, 7177, 7180, 7183, 7184, 7196, 7197, 7198, 7199, 
      7201, 7202, 7206, 7207, 7208, 7209, 7211, 7213, 7215, 7218, 7220, 7224, 7228, 7230, 7234, 7236, 
      7240, 7245, 7249, 7253, 7254, 7260, 7261, 7263, 7264, 7268, 7269, 7273, 7275, 7279, 7283, 7284, 
      7285, 7286, 7288, 7290, 7292, 7293, 7296, 7299, 7301, 7304, 7305, 7306, 7310, 7311, 7312, 7313, 
      7314, 7315, 7319, 7321, 7327, 7334, 7335, 7338, 7343, 7346, 7347, 7350, 7352, 7353, 7355, 7356, 
      7358, 7363, 7364, 7369, 7371, 7374, 7378, 7381, 7382, 7385, 7387, 7392, 7394, 7399, 7401, 7403, 
      7405, 7406, 7408, 7409, 7414, 7416, 7418, 7426, 7427, 7428, 7430, 7431, 7432, 7434, 7435, 7440, 
      7443, 7444, 7449, 7450, 7453, 7455, 7459, 7460, 7463, 7469, 7473, 7476, 7481, 7484, 7486, 7488, 
      7490, 7492, 7494, 7499, 7503, 7505, 7507, 7508, 7510, 7511, 7515, 7516, 7517, 7521, 7528, 7533, 
      7535, 7536, 7541, 7543, 7551, 7552, 7554, 7556, 7559, 7560, 7563, 7564, 7566, 7572, 7575, 7577, 
      7580, 7585, 7591, 7592, 7594, 7595, 7600, 7602, 7603, 7609, 7613, 7614, 7618, 7621, 7626, 7627, 
      7630, 7631, 7632, 7633, 7635, 7637, 7639, 7640, 7641, 7642, 7650, 7652, 7655, 7657, 7661, 7663, 
      7667, 7668, 7669, 7670, 7671, 7672, 7673, 7678, 7680, 7682, 7684, 7686, 7687, 7688, 7690, 7692, 
      7698, 7700, 7704, 7707, 7710, 7711, 7712, 7713, 7714, 7716, 7717, 7720, 7721, 7723, 7724, 7725, 
      7726, 7731, 7733, 7735, 7737, 7738, 7739, 7741, 7744, 7745, 7747, 7752, 7755, 7757, 7763, 7764, 
      7767, 7768, 7770, 7773, 7776, 7779, 7785, 7787, 7788, 7795, 7796, 7797, 7798, 7801, 7806, 7808, 
      7812, 7817, 7819, 7821, 7823, 7824, 7827, 7829, 7830, 7831, 7833, 7834, 7835, 7836, 7839, 7840, 
      7844, 7845, 7847, 7849, 7850, 7852, 7853, 7857, 7858, 7861, 7862, 7865, 7870, 7871, 7872, 7880, 
      7882, 7884, 7892, 7893, 7895, 7906, 7907, 7908, 7909, 7911, 7917, 7934, 7937, 7939, 7940, 7946, 
      7948, 7950, 7951, 7952, 7956, 7965, 7966, 7968, 7985, 7987, 7991, 7993, 7994, 7997, 7998, 8001 ] ]