[ [ 2, 3, 5, 6, 9, 13, 14, 16, 17, 18, 23, 25, 27, 29, 30, 32, 33, 35, 38, 39, 40, 41, 43, 45, 49, 53, 
      55, 59, 60, 63, 65, 66, 67, 68, 69, 71, 72, 76, 77, 78, 81, 82, 83, 84, 86, 88, 89, 91, 93, 97, 
      99, 100, 105, 107, 108, 111, 112, 113, 114, 116, 119, 120, 122, 123, 124, 129, 130, 131, 132, 
      133, 134, 136, 138, 139, 140, 142, 144, 145, 146, 148, 150, 152, 156, 157, 158, 159, 160, 161, 
      162, 164, 165, 166, 171, 172, 175, 179, 181, 182, 188, 193, 199, 202, 204, 205, 209, 210, 211, 
      214, 215, 216, 218, 219, 223, 224, 226, 227, 230, 233, 234, 235, 236, 239, 240, 243, 244, 247, 
      248, 249, 250, 252, 254, 256, 265, 267, 268, 275, 278, 281, 284, 285, 286, 292, 293, 294, 295, 
      297, 298, 299, 300, 304, 307, 308, 310, 311, 313, 315, 317, 318, 321, 324, 327, 328, 335, 337, 
      341, 342, 344, 348, 350, 352, 353, 354, 355, 357, 359, 360, 361, 364, 365, 366, 368, 372, 374, 
      376, 377, 378, 379, 380, 381, 383, 385, 390, 394, 395, 399, 400, 401, 402, 406, 407, 408, 410, 
      412, 417, 420, 421, 422, 424, 429, 431, 436, 438, 441, 442, 444, 445, 446, 450, 452, 453, 456, 
      457, 460, 461, 462, 465, 466, 467, 468, 469, 470, 474, 476, 478, 479, 480, 481, 482, 484, 487, 
      492, 494, 495, 501, 502, 503, 504, 505, 507, 508, 509, 510, 513, 516, 517, 518, 519, 522, 524, 
      527, 530, 531, 532, 533, 535, 536, 537, 539, 541, 542, 544, 548, 550, 551, 552, 553, 558, 562, 
      563, 565, 566, 569, 571, 572, 574, 575, 576, 577, 583, 584, 585, 586, 589, 592, 593, 594, 596, 
      597, 599, 602, 605, 611, 614, 615, 617, 618, 622, 623, 624, 628, 629, 630, 631, 632, 635, 637, 
      639, 640, 643, 646, 649, 651, 652, 653, 654, 657, 658, 659, 660, 661, 662, 663, 668, 669, 671, 
      672, 673, 674, 675, 678, 679, 681, 682, 683, 684, 685, 686, 689, 690, 691, 692, 693, 695, 697, 
      698, 699, 700, 701, 702, 704, 705, 706, 708, 710, 711, 713, 715, 719, 722, 723, 724, 727, 728, 
      729, 730, 731, 732, 733, 736, 740, 741, 742, 744, 746, 748, 750, 751, 752, 753, 754, 755, 756, 
      758, 759, 760, 761, 763, 766, 768, 771, 772, 773, 776, 781, 783, 784, 785, 787, 788, 789, 791, 
      792, 793, 794, 796, 797, 802, 804, 805, 807, 810, 812, 815, 816, 819, 824, 829, 833, 835, 836, 
      840, 841, 843, 844, 846, 847, 848, 850, 851, 853, 859, 862, 865, 866, 867, 869, 870, 872, 874, 
      876, 879, 881, 884, 886, 887, 888, 889, 890, 892, 899, 901, 903, 904, 906, 907, 909, 910, 911, 
      913, 916, 919, 927, 930, 934, 935, 938, 940, 941, 943, 948, 950, 955, 957, 959, 962, 963, 964, 
      965, 971, 972, 973, 977, 978, 983, 984, 985, 986, 987, 988, 991, 992, 995, 996, 998, 1003, 1004, 
      1005, 1008, 1009, 1010, 1014, 1015, 1016, 1017, 1021, 1025, 1026, 1027, 1028, 1029, 1032, 1035, 
      1037, 1039, 1040, 1042, 1043, 1048, 1049, 1050, 1052, 1054, 1055, 1058, 1060, 1063, 1064, 1066, 
      1071, 1074, 1075, 1078, 1080, 1082, 1083, 1084, 1085, 1086, 1090, 1092, 1094, 1095, 1097, 1103, 
      1105, 1107, 1108, 1111, 1116, 1117, 1118, 1119, 1120, 1122, 1125, 1128, 1129, 1131, 1134, 1137, 
      1139, 1140, 1141, 1142, 1145, 1148, 1149, 1150, 1152, 1153, 1154, 1157, 1158, 1160, 1163, 1164, 
      1166, 1167, 1169, 1171, 1172, 1173, 1174, 1175, 1179, 1180, 1183, 1186, 1189, 1190, 1193, 1195, 
      1198, 1199, 1200, 1202, 1203, 1205, 1206, 1208, 1210, 1211, 1218, 1219, 1221, 1225, 1226, 1227, 
      1228, 1231, 1232, 1233, 1234, 1238, 1239, 1242, 1243, 1246, 1248, 1250, 1251, 1253, 1254, 1256, 
      1257, 1258, 1261, 1262, 1264, 1265, 1267, 1269, 1270, 1272, 1273, 1275, 1277, 1280, 1282, 1287, 
      1288, 1292, 1294, 1295, 1302, 1303, 1304, 1305, 1311, 1312, 1313, 1314, 1316, 1317, 1321, 1322, 
      1323, 1324, 1327, 1329, 1330, 1331, 1333, 1335, 1339, 1341, 1342, 1343, 1344, 1347, 1348, 1350, 
      1356, 1358, 1359, 1360, 1362, 1364, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1379, 
      1380, 1381, 1383, 1387, 1389, 1393, 1396, 1397, 1399, 1402, 1403, 1404, 1405, 1408, 1410, 1411, 
      1412, 1413, 1414, 1416, 1417, 1420, 1424, 1426, 1427, 1429, 1430, 1433, 1437, 1438, 1440, 1442, 
      1444, 1445, 1446, 1447, 1451, 1453, 1454, 1455, 1458, 1461, 1463, 1466, 1469, 1472, 1473, 1474, 
      1476, 1477, 1478, 1479, 1480, 1482, 1486, 1487, 1488, 1492, 1493, 1494, 1497, 1498, 1499, 1500, 
      1502, 1503, 1504, 1505, 1509, 1510, 1512, 1515, 1517, 1518, 1519, 1520, 1525, 1527, 1530, 1533, 
      1534, 1535, 1536, 1537, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1550, 1553, 1556, 1557, 1560, 
      1566, 1567, 1568, 1570, 1572, 1573, 1576, 1579, 1580, 1581, 1583, 1584, 1587, 1590, 1591, 1592, 
      1599, 1600, 1603, 1604, 1606, 1609, 1613, 1614, 1617, 1618, 1621, 1622, 1623, 1624, 1628, 1629, 
      1630, 1633, 1636, 1638, 1640, 1642, 1644, 1645, 1646, 1647, 1651, 1654, 1655, 1658, 1660, 1661, 
      1662, 1664, 1665, 1667, 1670, 1676, 1680, 1681, 1682, 1683, 1684, 1687, 1689, 1690, 1691, 1693, 
      1694, 1696, 1698, 1700, 1701, 1710, 1712, 1713, 1715, 1716, 1718, 1720, 1721, 1723, 1730, 1731, 
      1732, 1734, 1736, 1737, 1738, 1739, 1740, 1742, 1746, 1747, 1748, 1749, 1750, 1752, 1753, 1754, 
      1762, 1763, 1765, 1766, 1767, 1770, 1771, 1772, 1773, 1775, 1776, 1777, 1778, 1780, 1785, 1787, 
      1788, 1789, 1791, 1795, 1796, 1797, 1799, 1802, 1803, 1804, 1811, 1815, 1816, 1817, 1818, 1821, 
      1824, 1828, 1829, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1842, 1844, 1845, 1846, 1847, 1848, 
      1849, 1852, 1854, 1855, 1858, 1865, 1866, 1868, 1871, 1873, 1874, 1875, 1876, 1878, 1881, 1883, 
      1889, 1890, 1891, 1893, 1894, 1895, 1896, 1898, 1899, 1901, 1905, 1908, 1912, 1914, 1915, 1916, 
      1918, 1920, 1921, 1922, 1923, 1925, 1927, 1929, 1930, 1931, 1936, 1937, 1938, 1940, 1941, 1945, 
      1946, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1959, 1960, 1961, 1963, 1965, 1966, 1967, 1968, 
      1971, 1972, 1976, 1977, 1979, 1980, 1982, 1983, 1984, 1988, 1991, 1992, 1994, 1996, 1997, 2001, 
      2002, 2003, 2005, 2007, 2009, 2010, 2013, 2016, 2018, 2020, 2021, 2022, 2024, 2028, 2029, 2030, 
      2031, 2035, 2036, 2037, 2038, 2042, 2043, 2044, 2045, 2048, 2049, 2054, 2059, 2060, 2061, 2062, 
      2065, 2066, 2073, 2077, 2079, 2083, 2084, 2087, 2088, 2091, 2092, 2095, 2096, 2098, 2099, 2102, 
      2103, 2104, 2105, 2107, 2109, 2112, 2115, 2116, 2119, 2120, 2123, 2124, 2125, 2126, 2128, 2132, 
      2133, 2135, 2136, 2139, 2140, 2142, 2145, 2146, 2148, 2151, 2154, 2155, 2156, 2158, 2160, 2161, 
      2164, 2165, 2166, 2170, 2171, 2176, 2177, 2179, 2180, 2183, 2187, 2188, 2191, 2192, 2194, 2195, 
      2199, 2200, 2201, 2203, 2204, 2205, 2207, 2209, 2210, 2211, 2213, 2214, 2215, 2217, 2219, 2221, 
      2222, 2223, 2224, 2225, 2227, 2230, 2233, 2235, 2236, 2237, 2238, 2239, 2241, 2242, 2246, 2247, 
      2248, 2249, 2251, 2254, 2256, 2257, 2258, 2262, 2265, 2266, 2267, 2268, 2270, 2271, 2272, 2273, 
      2274, 2279, 2281, 2282, 2283, 2284, 2285, 2289, 2291, 2293, 2296, 2297, 2298, 2304, 2306, 2307, 
      2308, 2309, 2310, 2311, 2315, 2316, 2318, 2319, 2327, 2328, 2329, 2330, 2332, 2333, 2334, 2340, 
      2348, 2350, 2352, 2354, 2356, 2358, 2359, 2361, 2363, 2365, 2366, 2367, 2369, 2370, 2371, 2372, 
      2373, 2376, 2377, 2379, 2382, 2384, 2385, 2386, 2390, 2391, 2392, 2394, 2400, 2402, 2403, 2405, 
      2407, 2408, 2411, 2412, 2414, 2416, 2418, 2423, 2425, 2427, 2428, 2429, 2430, 2432, 2433, 2434, 
      2435, 2437, 2438, 2440, 2442, 2443, 2447, 2449, 2450, 2452, 2455, 2457, 2458, 2460, 2461, 2463, 
      2467, 2468, 2471, 2472, 2474, 2477, 2479, 2480, 2482, 2483, 2484, 2487, 2491, 2492, 2496, 2500, 
      2502, 2503, 2505, 2509, 2510, 2512, 2514, 2518, 2519, 2521, 2523, 2524, 2528, 2529, 2531, 2533, 
      2537, 2538, 2540, 2541, 2542, 2543, 2548, 2550, 2552, 2553, 2554, 2557, 2560, 2564, 2567, 2568, 
      2572, 2576, 2577, 2578, 2579, 2581, 2583, 2584, 2588, 2591, 2596, 2597, 2599, 2600, 2601, 2602, 
      2603, 2604, 2606, 2608, 2615, 2618, 2621, 2622, 2624, 2625, 2628, 2629, 2633, 2635, 2637, 2638, 
      2640, 2642, 2644, 2646, 2648, 2650, 2652, 2656, 2657, 2658, 2659, 2660, 2661, 2664, 2667, 2668, 
      2669, 2670, 2671, 2673, 2674, 2675, 2676, 2683, 2687, 2688, 2689, 2690, 2692, 2694, 2698, 2700, 
      2701, 2703, 2706, 2709, 2710, 2718, 2722, 2726, 2728, 2730, 2731, 2732, 2734, 2737, 2742, 2745, 
      2750, 2751, 2752, 2754, 2756, 2759, 2760, 2761, 2762, 2765, 2768, 2769, 2770, 2775, 2779, 2780, 
      2781, 2782, 2784, 2786, 2791, 2793, 2797, 2799, 2800, 2801, 2804, 2805, 2811, 2815, 2816, 2817, 
      2819, 2820, 2823, 2824, 2825, 2827, 2828, 2835, 2836, 2837, 2841, 2844, 2845, 2848, 2849, 2852, 
      2853, 2855, 2859, 2860, 2861, 2862, 2863, 2866, 2871, 2873, 2877, 2878, 2879, 2881, 2885, 2886, 
      2888, 2890, 2892, 2893, 2895, 2896, 2897, 2898, 2899, 2902, 2903, 2905, 2906, 2908, 2909, 2913, 
      2915, 2917, 2922, 2923, 2924, 2925, 2926, 2929, 2931, 2933, 2934, 2937, 2938, 2939, 2940, 2941, 
      2942, 2943, 2948, 2949, 2950, 2956, 2957, 2958, 2959, 2960, 2961, 2963, 2965, 2968, 2971, 2972, 
      2975, 2977, 2978, 2980, 2985, 2986, 2987, 2989, 2994, 2997, 2999, 3000, 3004, 3005, 3013, 3015, 
      3016, 3017, 3021, 3023, 3024, 3025, 3026, 3028, 3029, 3030, 3033, 3035, 3041, 3042, 3044, 3046, 
      3049, 3051, 3053, 3054, 3055, 3056, 3057, 3058, 3065, 3066, 3068, 3072, 3074, 3076, 3077, 3079, 
      3082, 3083, 3084, 3090, 3091, 3092, 3093, 3094, 3096, 3101, 3105, 3106, 3111, 3113, 3119, 3121, 
      3123, 3124, 3129, 3130, 3131, 3132, 3133, 3135, 3136, 3137, 3138, 3142, 3143, 3144, 3145, 3147, 
      3149, 3152, 3153, 3155, 3157, 3162, 3163, 3165, 3166, 3168, 3169, 3172, 3173, 3174, 3176, 3177, 
      3181, 3183, 3186, 3187, 3189, 3190, 3191, 3192, 3201, 3202, 3204, 3208, 3214, 3215, 3219, 3220, 
      3222, 3226, 3227, 3231, 3232, 3233, 3235, 3236, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3249, 
      3251, 3252, 3255, 3257, 3258, 3259, 3260, 3264, 3265, 3267, 3268, 3269, 3271, 3272, 3273, 3278, 
      3280, 3281, 3284, 3289, 3290, 3291, 3292, 3294, 3298, 3299, 3300, 3302, 3304, 3306, 3307, 3311, 
      3313, 3319, 3320, 3322, 3324, 3326, 3327, 3331, 3332, 3334, 3337, 3340, 3341, 3342, 3344, 3345, 
      3350, 3351, 3352, 3355, 3357, 3358, 3359, 3360, 3362, 3363, 3364, 3365, 3366, 3367, 3369, 3371, 
      3372, 3374, 3377, 3378, 3379, 3383, 3384, 3386, 3389, 3390, 3391, 3392, 3395, 3397, 3398, 3401, 
      3402, 3404, 3407, 3408, 3410, 3411, 3414, 3415, 3416, 3418, 3419, 3420, 3423, 3425, 3434, 3435, 
      3439, 3440, 3443, 3444, 3447, 3448, 3451, 3453, 3454, 3458, 3459, 3461, 3463, 3466, 3468, 3471, 
      3472, 3473, 3477, 3485, 3486, 3487, 3489, 3495, 3498, 3499, 3500, 3501, 3503, 3505, 3507, 3508, 
      3510, 3511, 3514, 3516, 3517, 3518, 3519, 3520, 3521, 3523, 3526, 3529, 3530, 3532, 3533, 3534, 
      3535, 3537, 3538, 3539, 3541, 3542, 3543, 3544, 3547, 3548, 3549, 3550, 3551, 3552, 3555, 3559, 
      3562, 3563, 3566, 3570, 3571, 3573, 3574, 3575, 3577, 3579, 3580, 3582, 3584, 3585, 3587, 3588, 
      3591, 3592, 3593, 3596, 3598, 3600, 3603, 3604, 3605, 3606, 3607, 3608, 3613, 3614, 3615, 3617, 
      3623, 3624, 3630, 3633, 3636, 3639, 3640, 3642, 3643, 3644, 3646, 3648, 3650, 3653, 3654, 3655, 
      3658, 3661, 3663, 3664, 3665, 3666, 3673, 3674, 3675, 3679, 3680, 3682, 3683, 3684, 3686, 3688, 
      3689, 3692, 3695, 3699, 3701, 3704, 3708, 3711, 3712, 3716, 3717, 3718, 3719, 3722, 3729, 3730, 
      3731, 3733, 3734, 3735, 3737, 3740, 3741, 3743, 3745, 3746, 3748, 3750, 3751, 3752, 3754, 3755, 
      3757, 3758, 3761, 3763, 3764, 3766, 3768, 3769, 3772, 3773, 3774, 3776, 3777, 3778, 3779, 3781, 
      3784, 3785, 3787, 3790, 3792, 3796, 3797, 3798, 3799, 3800, 3803, 3807, 3810, 3813, 3814, 3819, 
      3820, 3822, 3825, 3826, 3827, 3828, 3830, 3832, 3833, 3834, 3835, 3836, 3840, 3841, 3842, 3845, 
      3847, 3848, 3850, 3852, 3853, 3854, 3855, 3856, 3858, 3859, 3860, 3861, 3864, 3868, 3870, 3873, 
      3874, 3875, 3879, 3880, 3882, 3885, 3886, 3887, 3888, 3889, 3890, 3894, 3895, 3896, 3897, 3900, 
      3906, 3908, 3918, 3922, 3925, 3926, 3927, 3928, 3938, 3939, 3941, 3944, 3946, 3947, 3948, 3952, 
      3954, 3955, 3956, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3973, 3974, 
      3975, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3989, 3991, 3993, 3996, 3998, 4004, 4006, 4009, 
      4012, 4014, 4015, 4016, 4019, 4020, 4022, 4024, 4027, 4030, 4033, 4034, 4035, 4039, 4040, 4041, 
      4043, 4044, 4045, 4047, 4049, 4050, 4052, 4055, 4056, 4057, 4058, 4059, 4062, 4069, 4070, 4071, 
      4072, 4074, 4081, 4086, 4087, 4090, 4092, 4094, 4098, 4101, 4102, 4103, 4104, 4105, 4107, 4110, 
      4113, 4115, 4117, 4119, 4122, 4123, 4126, 4127, 4128, 4129, 4130, 4131, 4133, 4134, 4135, 4136, 
      4139, 4143, 4144, 4147, 4148, 4149, 4151, 4153, 4154, 4155, 4156, 4158, 4162, 4163, 4164, 4165, 
      4171, 4173, 4175, 4178, 4180, 4181, 4182, 4183, 4184, 4185, 4188, 4194, 4196, 4197, 4198, 4199, 
      4201, 4204, 4205, 4206, 4207, 4210, 4211, 4216, 4217, 4218, 4219, 4220, 4225, 4228, 4230, 4231, 
      4233, 4235, 4236, 4237, 4240, 4243, 4244, 4246, 4247, 4248, 4249, 4254, 4256, 4257, 4260, 4262, 
      4263, 4267, 4268, 4269, 4272, 4273, 4274, 4275, 4278, 4279, 4280, 4282, 4283, 4285, 4286, 4288, 
      4289, 4290, 4294, 4296, 4302, 4307, 4310, 4313, 4314, 4316, 4317, 4318, 4320, 4321, 4324, 4325, 
      4326, 4327, 4328, 4331, 4332, 4333, 4337, 4339, 4340, 4342, 4343, 4345, 4346, 4347, 4348, 4351, 
      4352, 4355, 4357, 4359, 4360, 4362, 4363, 4364, 4365, 4368, 4370, 4371, 4373, 4374, 4376, 4377, 
      4383, 4385, 4386, 4387, 4388, 4393, 4395, 4397, 4402, 4406, 4410, 4413, 4416, 4418, 4422, 4427, 
      4429, 4431, 4434, 4436, 4438, 4443, 4445, 4446, 4448, 4450, 4455, 4457, 4460, 4461, 4462, 4466, 
      4469, 4473, 4475, 4476, 4477, 4478, 4485, 4487, 4490, 4492, 4493, 4494, 4497, 4498, 4499, 4501, 
      4502, 4503, 4506, 4507, 4508, 4509, 4512, 4515, 4517, 4518, 4520, 4521, 4522, 4523, 4528, 4529, 
      4530, 4531, 4532, 4535, 4537, 4538, 4543, 4544, 4546, 4547, 4548, 4550, 4553, 4556, 4557, 4558, 
      4559, 4560, 4561, 4562, 4565, 4567, 4568, 4569, 4570, 4571, 4573, 4577, 4578, 4581, 4582, 4584, 
      4586, 4587, 4590, 4591, 4592, 4593, 4596, 4597, 4598, 4600, 4601, 4602, 4606, 4609, 4610, 4611, 
      4614, 4615, 4617, 4620, 4621, 4626, 4629, 4635, 4638, 4639, 4643, 4644, 4648, 4650, 4651, 4653, 
      4654, 4655, 4656, 4660, 4661, 4665, 4666, 4667, 4668, 4672, 4674, 4680, 4681, 4684, 4686, 4688, 
      4689, 4690, 4692, 4693, 4694, 4696, 4697, 4698, 4700, 4701, 4704, 4705, 4706, 4707, 4709, 4717, 
      4718, 4720, 4722, 4725, 4726, 4727, 4733, 4734, 4735, 4736, 4737, 4738, 4739, 4741, 4742, 4743, 
      4744, 4745, 4748, 4749, 4754, 4755, 4756, 4757, 4758, 4759, 4761, 4762, 4770, 4772, 4774, 4777, 
      4778, 4780, 4781, 4790, 4791, 4792, 4796, 4798, 4799, 4801, 4802, 4803, 4805, 4806, 4807, 4810, 
      4812, 4813, 4818, 4819, 4821, 4827, 4830, 4831, 4835, 4836, 4838, 4839, 4840, 4844, 4845, 4846, 
      4847, 4851, 4858, 4859, 4860, 4861, 4862, 4864, 4870, 4872, 4875, 4877, 4879, 4880, 4882, 4884, 
      4886, 4888, 4890, 4891, 4892, 4895, 4896, 4898, 4901, 4902, 4903, 4904, 4909, 4910, 4913, 4915, 
      4916, 4917, 4921, 4923, 4927, 4928, 4929, 4933, 4934, 4938, 4939, 4941, 4943, 4944, 4946, 4947, 
      4948, 4951, 4952, 4955, 4956, 4957, 4958, 4962, 4963, 4964, 4966, 4970, 4972, 4974, 4975, 4976, 
      4978, 4980, 4981, 4986, 4990, 4992, 4993, 4995, 4996, 4999, 5000, 5002, 5003, 5006, 5007, 5008, 
      5009, 5010, 5012, 5015, 5016, 5019, 5023, 5024, 5027, 5028, 5029, 5030, 5035, 5036, 5038, 5040, 
      5043, 5044, 5046, 5047, 5054, 5055, 5057, 5059, 5060, 5061, 5062, 5063, 5064, 5067, 5070, 5078, 
      5079, 5081, 5083, 5086, 5090, 5096, 5097, 5098, 5101, 5103, 5104, 5106, 5107, 5108, 5109, 5115, 
      5116, 5117, 5122, 5124, 5125, 5126, 5128, 5130, 5132, 5135, 5137, 5138, 5139, 5141, 5142, 5143, 
      5147, 5148, 5150, 5151, 5152, 5153, 5154, 5155, 5157, 5159, 5160, 5161, 5163, 5167, 5170, 5171, 
      5172, 5174, 5176, 5177, 5180, 5183, 5184, 5185, 5186, 5188, 5190, 5193, 5197, 5198, 5199, 5200, 
      5204, 5205, 5207, 5208, 5212, 5213, 5217, 5220 ], 
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      36, 36, 36, 36, 36, 36, 38, 39, 39, 39, 39, 39, 39, 39, 43, 53, 56, 56, 56, 56, 56, 56, 56, 57, 
      57, 57, 57, 57, 57, 57, 60, 60, 60, 60, 60, 60, 60, 65, 65, 65, 65, 65, 65, 65, 67, 68, 75, 75, 
      75, 75, 75, 75, 75, 80, 80, 80, 80, 80, 80, 80, 81, 81, 81, 81, 81, 81, 81, 82, 84, 84, 84, 84, 
      84, 84, 84, 90, 90, 90, 90, 90, 90, 90, 94, 95, 97, 99, 101, 107, 107, 107, 107, 107, 107, 107, 
      114, 114, 114, 114, 114, 114, 114, 116, 123, 127, 128, 132, 135, 136, 137, 137, 137, 137, 137, 
      137, 137, 142, 142, 142, 142, 142, 142, 142, 145, 147, 150, 151, 151, 151, 151, 151, 151, 151, 
      153, 157, 157, 157, 157, 157, 157, 157, 160, 160, 160, 160, 160, 160, 160, 162, 164, 167, 172, 
      173, 174, 176, 178, 179, 183, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184, 184, 
      186, 186, 186, 186, 186, 186, 186, 187, 188, 193, 193, 195, 195, 195, 195, 195, 195, 195, 201, 
      202, 202, 202, 202, 202, 202, 202, 206, 208, 208, 208, 208, 208, 208, 208, 211, 211, 211, 211, 
      211, 211, 211, 222, 225, 225, 225, 225, 225, 225, 225, 229, 229, 229, 229, 229, 229, 229, 235, 
      235, 235, 235, 235, 235, 235, 237, 240, 240, 240, 240, 240, 240, 240, 247, 248, 248, 248, 248, 
      248, 248, 248, 251, 252, 254, 262, 269, 270, 273, 273, 273, 273, 273, 273, 273, 279, 279, 279, 
      279, 279, 279, 279, 281, 282, 282, 282, 282, 282, 282, 282, 286, 286, 286, 286, 286, 286, 286, 
      300, 307, 309, 309, 309, 309, 309, 309, 309, 312, 313, 313, 313, 313, 313, 313, 313, 315, 321, 
      321, 321, 321, 321, 321, 321, 323, 324, 324, 324, 324, 324, 324, 324, 328, 331, 332, 333, 333, 
      333, 333, 333, 333, 333, 334, 336, 336, 336, 336, 336, 336, 336, 339, 339, 339, 339, 339, 339, 
      339, 340, 341, 341, 341, 341, 341, 341, 341, 342, 347, 361, 364, 365, 365, 365, 365, 365, 365, 
      365, 366, 367, 369, 372, 375, 377, 382, 382, 382, 382, 382, 382, 382, 387, 387, 387, 387, 387, 
      387, 387, 388, 391, 393, 395, 395, 395, 395, 395, 395, 395, 396, 396, 396, 396, 396, 396, 396, 
      403, 407, 417, 417, 417, 417, 417, 417, 417, 418, 420, 422, 423, 436, 443, 443, 443, 443, 443, 
      443, 443, 444, 444, 444, 444, 444, 444, 444, 445, 447, 447, 447, 447, 447, 447, 447, 450, 454, 
      461, 461, 461, 461, 461, 461, 461, 462, 466, 467, 470, 471, 471, 471, 471, 471, 471, 471, 474, 
      477, 479, 481, 481, 481, 481, 481, 481, 481, 484, 484, 484, 484, 484, 484, 484, 485, 486, 486, 
      486, 486, 486, 486, 486, 489, 489, 489, 489, 489, 489, 489, 497, 500, 501, 507, 509, 523, 523, 
      523, 523, 523, 523, 523, 524, 524, 524, 524, 524, 524, 524, 525, 527, 538, 538, 538, 538, 538, 
      538, 538, 539, 539, 539, 539, 539, 539, 539, 548, 557, 557, 557, 557, 557, 557, 557, 558, 572, 
      575, 576, 577, 584, 586, 586, 586, 586, 586, 586, 586, 588, 591, 592, 594, 594, 594, 594, 594, 
      594, 594, 595, 605, 606, 612, 614, 614, 614, 614, 614, 614, 614, 615, 615, 615, 615, 615, 615, 
      615, 617, 618, 618, 618, 618, 618, 618, 618, 622, 633, 634, 636, 636, 636, 636, 636, 636, 636, 
      637, 639, 642, 647, 651, 661, 661, 661, 661, 661, 661, 661, 667, 669, 675, 680, 681, 682, 684, 
      685, 689, 696, 696, 696, 696, 696, 696, 696, 703, 703, 705, 705, 705, 705, 705, 705, 705, 709, 
      711, 711, 711, 711, 711, 711, 711, 712, 712, 712, 712, 712, 712, 712, 714, 715, 716, 716, 716, 
      716, 716, 716, 716, 723, 726, 727, 731, 731, 731, 731, 731, 731, 731, 733, 733, 733, 733, 733, 
      733, 733, 735, 735, 735, 735, 735, 735, 735, 736, 737, 737, 737, 737, 737, 737, 737, 738, 739, 
      741, 742, 743, 745, 745, 745, 745, 745, 745, 745, 748, 748, 748, 748, 748, 748, 748, 749, 753, 
      754, 754, 754, 754, 754, 754, 754, 755, 756, 757, 759, 759, 759, 759, 759, 759, 759, 760, 762, 
      763, 763, 763, 763, 763, 763, 763, 765, 766, 769, 769, 769, 769, 769, 769, 769, 770, 772, 777, 
      779, 779, 779, 779, 779, 779, 779, 780, 780, 780, 780, 780, 780, 780, 786, 786, 786, 786, 786, 
      786, 786, 788, 793, 800, 801, 802, 803, 803, 803, 803, 803, 803, 803, 812, 814, 815, 817, 819, 
      820, 821, 823, 824, 824, 824, 824, 824, 824, 824, 825, 829, 829, 829, 829, 829, 829, 829, 830, 
      836, 837, 839, 846, 847, 850, 853, 858, 859, 859, 859, 859, 859, 859, 859, 860, 861, 863, 864, 
      864, 864, 864, 864, 864, 864, 866, 867, 867, 867, 867, 867, 867, 867, 868, 873, 873, 873, 873, 
      873, 873, 873, 874, 874, 874, 874, 874, 874, 874, 876, 878, 878, 878, 878, 878, 878, 878, 881, 
      882, 882, 882, 882, 882, 882, 882, 883, 889, 894, 894, 894, 894, 894, 894, 894, 901, 902, 903, 
      903, 907, 907, 907, 907, 907, 907, 907, 910, 916, 916, 916, 916, 916, 916, 916, 918, 926, 927, 
      927, 927, 927, 927, 927, 927, 929, 930, 932, 932, 932, 932, 932, 932, 932, 936, 937, 938, 941, 
      942, 950, 950, 950, 950, 950, 950, 950, 952, 952, 952, 952, 952, 952, 952, 953, 956, 958, 961, 
      965, 967, 971, 979, 979, 979, 979, 979, 979, 979, 982, 982, 982, 982, 982, 982, 982, 987, 989, 
      994, 994, 994, 994, 994, 994, 994, 998, 998, 998, 998, 998, 998, 998, 1000, 1004, 1004, 1004, 
      1004, 1004, 1004, 1004, 1005, 1005, 1005, 1005, 1005, 1005, 1005, 1009, 1010, 1010, 1010, 1010, 
      1010, 1010, 1010, 1018, 1018, 1018, 1018, 1018, 1018, 1018, 1020, 1020, 1020, 1020, 1020, 1020, 
      1020, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1032, 1035, 1038, 1040, 1041, 1041, 1041, 1041, 
      1041, 1041, 1041, 1042, 1042, 1042, 1042, 1042, 1042, 1042, 1048, 1050, 1050, 1050, 1050, 1050, 
      1050, 1050, 1051, 1051, 1051, 1051, 1051, 1051, 1051, 1053, 1057, 1058, 1062, 1067, 1067, 1067, 
      1067, 1067, 1067, 1067, 1068, 1071, 1072, 1072, 1072, 1072, 1072, 1072, 1072, 1073, 1074, 1075, 
      1077, 1077, 1077, 1077, 1077, 1077, 1077, 1082, 1084, 1094, 1099, 1102, 1103, 1103, 1103, 1103, 
      1103, 1103, 1103, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1108, 1108, 1108, 1108, 1108, 1108, 
      1108, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1113, 1114, 1114, 1114, 1114, 1114, 1114, 1114, 
      1117, 1118, 1122, 1122, 1122, 1122, 1122, 1122, 1122, 1123, 1123, 1123, 1123, 1123, 1123, 1123, 
      1124, 1134, 1135, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1144, 1146, 1146, 1146, 1146, 1146, 
      1146, 1146, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1148, 1149, 1154, 1154, 1154, 1154, 1154, 
      1154, 1154, 1155, 1156, 1158, 1158, 1158, 1158, 1158, 1158, 1158, 1159, 1162, 1162, 1162, 1162, 
      1162, 1162, 1162, 1163, 1166, 1166, 1166, 1166, 1166, 1166, 1166, 1167, 1171, 1173, 1174, 1179, 
      1179, 1179, 1179, 1179, 1179, 1179, 1180, 1183, 1184, 1184, 1184, 1184, 1184, 1184, 1184, 1186, 
      1192, 1192, 1192, 1192, 1192, 1192, 1192, 1194, 1197, 1198, 1201, 1201, 1201, 1201, 1201, 1201, 
      1201, 1203, 1203, 1203, 1203, 1203, 1203, 1203, 1204, 1204, 1204, 1204, 1204, 1204, 1204, 1206, 
      1207, 1207, 1207, 1207, 1207, 1207, 1207, 1209, 1209, 1211, 1217, 1219, 1225, 1225, 1225, 1225, 
      1225, 1225, 1225, 1234, 1236, 1241, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1247, 1249, 1249, 
      1249, 1249, 1249, 1249, 1249, 1250, 1251, 1252, 1252, 1258, 1261, 1262, 1265, 1266, 1270, 1271, 
      1273, 1273, 1273, 1273, 1273, 1273, 1273, 1286, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1292, 
      1294, 1301, 1303, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1311, 1316, 1323, 1323, 1323, 1323, 
      1323, 1323, 1323, 1324, 1325, 1326, 1329, 1333, 1336, 1336, 1336, 1336, 1336, 1336, 1336, 1338, 
      1341, 1346, 1346, 1346, 1346, 1346, 1346, 1346, 1347, 1352, 1353, 1355, 1357, 1363, 1364, 1364, 
      1364, 1364, 1364, 1364, 1364, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1369, 1372, 1372, 1373, 
      1381, 1382, 1383, 1384, 1384, 1384, 1384, 1384, 1384, 1384, 1389, 1391, 1394, 1394, 1394, 1394, 
      1394, 1394, 1394, 1395, 1401, 1405, 1408, 1408, 1408, 1408, 1408, 1408, 1408, 1410, 1412, 1412, 
      1412, 1412, 1412, 1412, 1412, 1413, 1415, 1417, 1422, 1423, 1423, 1424, 1429, 1430, 1432, 1433, 
      1437, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1442, 1444, 1444, 1444, 1444, 1444, 1444, 1444, 
      1446, 1447, 1447, 1447, 1447, 1447, 1447, 1447, 1448, 1448, 1448, 1448, 1448, 1448, 1448, 1453, 
      1461, 1461, 1461, 1461, 1461, 1461, 1461, 1465, 1474, 1476, 1478, 1481, 1483, 1483, 1483, 1483, 
      1483, 1483, 1483, 1485, 1488, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1494, 1495, 1496, 1497, 
      1497, 1497, 1497, 1497, 1497, 1497, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1506, 1509, 1513, 
      1513, 1513, 1513, 1513, 1513, 1513, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1515, 1521, 1525, 
      1526, 1530, 1536, 1538, 1538, 1538, 1538, 1538, 1538, 1538, 1539, 1540, 1540, 1540, 1540, 1540, 
      1540, 1540, 1541, 1542, 1548, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1554, 1558, 1558, 1558, 
      1558, 1558, 1558, 1558, 1560, 1562, 1564, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1570, 1571, 
      1571, 1571, 1571, 1571, 1571, 1571, 1577, 1578, 1578, 1578, 1578, 1578, 1578, 1578, 1580, 1582, 
      1583, 1583, 1583, 1583, 1583, 1583, 1583, 1587, 1588, 1593, 1597, 1598, 1601, 1601, 1601, 1601, 
      1601, 1601, 1601, 1602, 1602, 1602, 1602, 1602, 1602, 1602, 1605, 1605, 1605, 1605, 1605, 1605, 
      1605, 1609, 1611, 1622, 1626, 1626, 1626, 1626, 1626, 1626, 1626, 1627, 1633, 1633, 1633, 1633, 
      1633, 1633, 1633, 1636, 1640, 1640, 1640, 1640, 1640, 1640, 1640, 1641, 1641, 1641, 1641, 1641, 
      1641, 1641, 1642, 1642, 1642, 1642, 1642, 1642, 1642, 1646, 1647, 1651, 1652, 1652, 1652, 1652, 
      1652, 1652, 1652, 1660, 1663, 1663, 1663, 1663, 1663, 1663, 1663, 1664, 1667, 1668, 1670, 1673, 
      1675, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1684, 1685, 1694, 1695, 1695, 1695, 1695, 1695, 
      1695, 1695, 1698, 1698, 1698, 1698, 1698, 1698, 1698, 1701, 1707, 1708, 1708, 1708, 1708, 1708, 
      1708, 1708, 1711, 1721, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1724, 1724, 1724, 1724, 1724, 
      1724, 1724, 1727, 1732, 1732, 1732, 1732, 1732, 1732, 1732, 1733, 1735, 1746, 1750, 1752, 1752, 
      1752, 1752, 1752, 1752, 1752, 1756, 1758, 1761, 1764, 1764, 1764, 1764, 1764, 1764, 1764, 1766, 
      1768, 1769, 1772, 1776, 1782, 1782, 1782, 1782, 1782, 1782, 1782, 1786, 1787, 1796, 1796, 1796, 
      1796, 1796, 1796, 1796, 1797, 1799, 1799, 1799, 1799, 1799, 1799, 1799, 1800, 1803, 1803, 1803, 
      1803, 1803, 1803, 1803, 1807, 1807, 1807, 1807, 1807, 1807, 1807, 1808, 1811, 1811, 1811, 1811, 
      1811, 1811, 1811, 1819, 1821, 1821, 1821, 1821, 1821, 1821, 1821, 1825, 1826, 1831, 1831, 1831, 
      1831, 1831, 1831, 1831, 1838, 1838, 1838, 1838, 1838, 1838, 1838, 1839, 1840, 1840, 1840, 1840, 
      1840, 1840, 1840, 1843, 1843, 1843, 1843, 1843, 1843, 1843, 1846, 1848, 1848, 1848, 1848, 1848, 
      1848, 1848, 1849, 1849, 1849, 1849, 1849, 1849, 1849, 1850, 1851, 1851, 1851, 1851, 1851, 1851, 
      1851, 1857, 1858, 1862, 1863, 1864, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1873, 1873, 1873, 
      1873, 1873, 1873, 1873, 1876, 1876, 1876, 1876, 1876, 1876, 1876, 1877, 1877, 1877, 1877, 1877, 
      1877, 1877, 1878, 1879, 1879, 1879, 1879, 1879, 1879, 1879, 1883, 1886, 1903, 1904, 1904, 1904, 
      1904, 1904, 1904, 1904, 1906, 1907, 1912, 1912, 1912, 1912, 1912, 1912, 1912, 1917, 1917, 1917, 
      1917, 1917, 1917, 1917, 1918, 1921, 1922, 1923, 1923, 1923, 1923, 1923, 1923, 1923, 1924, 1927, 
      1929, 1930, 1937, 1941, 1944, 1946, 1950, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1960, 1960, 
      1960, 1960, 1960, 1960, 1960, 1961, 1961, 1961, 1961, 1961, 1961, 1961, 1962, 1964, 1964, 1964, 
      1964, 1964, 1964, 1964, 1967, 1967, 1967, 1967, 1967, 1967, 1967, 1968, 1974, 1984, 1987, 1989, 
      1991, 1992, 1992, 1992, 1992, 1992, 1992, 1992, 2001, 2004, 2004, 2004, 2004, 2004, 2004, 2004, 
      2005, 2005, 2005, 2005, 2005, 2005, 2005, 2006, 2006, 2006, 2006, 2006, 2006, 2006, 2011, 2011, 
      2011, 2011, 2011, 2011, 2011, 2013, 2018, 2022, 2023, 2023, 2023, 2023, 2023, 2023, 2023, 2026, 
      2031, 2032, 2034, 2038, 2038, 2038, 2038, 2038, 2038, 2038, 2040, 2040, 2040, 2040, 2040, 2040, 
      2040, 2041, 2043, 2043, 2043, 2043, 2043, 2043, 2043, 2051, 2052, 2052, 2052, 2052, 2052, 2052, 
      2052, 2061, 2062, 2065, 2068, 2069, 2069, 2069, 2069, 2069, 2069, 2069, 2071, 2072, 2073, 2077, 
      2077, 2077, 2077, 2077, 2077, 2077, 2080, 2080, 2080, 2080, 2080, 2080, 2080, 2083, 2083, 2083, 
      2083, 2083, 2083, 2083, 2091, 2091, 2091, 2091, 2091, 2091, 2091, 2092, 2093, 2094, 2094, 2094, 
      2094, 2094, 2094, 2094, 2098, 2099, 2099, 2099, 2099, 2099, 2099, 2099, 2103, 2105, 2107, 2109, 
      2110, 2111, 2111, 2111, 2111, 2111, 2111, 2111, 2114, 2115, 2120, 2122, 2126, 2127, 2128, 2129, 
      2131, 2140, 2140, 2140, 2140, 2140, 2140, 2140, 2147, 2149, 2149, 2149, 2149, 2149, 2149, 2149, 
      2156, 2156, 2156, 2156, 2156, 2156, 2156, 2159, 2159, 2159, 2159, 2159, 2159, 2159, 2163, 2164, 
      2164, 2164, 2164, 2164, 2164, 2164, 2166, 2166, 2166, 2166, 2166, 2166, 2166, 2170, 2170, 2170, 
      2170, 2170, 2170, 2170, 2171, 2174, 2175, 2180, 2187, 2188, 2188, 2188, 2188, 2188, 2188, 2188, 
      2189, 2191, 2192, 2197, 2204, 2204, 2204, 2204, 2204, 2204, 2204, 2207, 2208, 2208, 2208, 2208, 
      2208, 2208, 2208, 2210, 2221, 2221, 2221, 2221, 2221, 2221, 2221, 2222, 2223, 2224, 2229, 2232, 
      2234, 2235, 2238, 2238, 2238, 2238, 2238, 2238, 2238, 2239, 2241, 2243, 2244, 2247, 2251, 2251, 
      2251, 2251, 2251, 2251, 2251, 2259, 2259, 2259, 2259, 2259, 2259, 2259, 2260, 2261, 2261, 2261, 
      2261, 2261, 2261, 2261, 2263, 2264, 2269, 2269, 2269, 2269, 2269, 2269, 2269, 2271, 2273, 2273, 
      2273, 2273, 2273, 2273, 2273, 2274, 2276, 2279, 2279, 2279, 2279, 2279, 2279, 2279, 2280, 2284, 
      2285, 2285, 2285, 2285, 2285, 2285, 2285, 2288, 2290, 2292, 2293, 2297, 2297, 2297, 2297, 2297, 
      2297, 2297, 2300, 2302, 2302, 2302, 2302, 2302, 2302, 2302, 2303, 2303, 2303, 2303, 2303, 2303, 
      2303, 2310, 2310, 2310, 2310, 2310, 2310, 2310, 2312, 2313, 2317, 2317, 2317, 2317, 2317, 2317, 
      2317, 2325, 2327, 2328, 2328, 2328, 2328, 2328, 2328, 2328, 2333, 2333, 2333, 2333, 2333, 2333, 
      2333, 2337, 2339, 2342, 2342, 2342, 2342, 2342, 2342, 2342, 2344, 2347, 2347, 2347, 2347, 2347, 
      2347, 2347, 2351, 2353, 2355, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2358, 2358, 2358, 2358, 
      2358, 2358, 2358, 2360, 2362, 2362, 2362, 2362, 2362, 2362, 2362, 2363, 2365, 2368, 2368, 2368, 
      2368, 2368, 2368, 2368, 2378, 2381, 2387, 2399, 2401, 2408, 2410, 2412, 2417, 2419, 2419, 2419, 
      2419, 2419, 2419, 2419, 2422, 2422, 2422, 2422, 2422, 2422, 2422, 2425, 2426, 2426, 2426, 2426, 
      2426, 2426, 2426, 2435, 2440, 2442, 2442, 2442, 2442, 2442, 2442, 2442, 2447, 2447, 2447, 2447, 
      2447, 2447, 2447, 2449, 2449, 2449, 2449, 2449, 2449, 2449, 2450, 2452, 2459, 2460, 2463, 2467, 
      2468, 2471, 2472, 2474, 2478, 2478, 2478, 2478, 2478, 2478, 2478, 2480, 2480, 2480, 2480, 2480, 
      2480, 2480, 2481, 2482, 2491, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2495, 2496, 2498, 2501, 
      2503, 2503, 2506, 2509, 2518, 2522, 2522, 2522, 2522, 2522, 2522, 2522, 2523, 2530, 2530, 2530, 
      2530, 2530, 2530, 2530, 2531, 2532, 2533, 2533, 2533, 2533, 2533, 2533, 2533, 2535, 2543, 2543, 
      2543, 2543, 2543, 2543, 2543, 2545, 2552, 2552, 2552, 2552, 2552, 2552, 2552, 2554, 2558, 2562, 
      2562, 2562, 2562, 2562, 2562, 2562, 2566, 2569, 2569, 2569, 2569, 2569, 2569, 2569, 2574, 2579, 
      2590, 2594, 2600, 2603, 2607, 2607, 2607, 2607, 2607, 2607, 2607, 2610, 2611, 2617, 2618, 2618, 
      2618, 2618, 2618, 2618, 2618, 2619, 2619, 2619, 2619, 2619, 2619, 2619, 2620, 2630, 2630, 2630, 
      2630, 2630, 2630, 2630, 2636, 2638, 2641, 2642, 2648, 2650, 2650, 2650, 2650, 2650, 2650, 2650, 
      2651, 2651, 2651, 2651, 2651, 2651, 2651, 2652, 2652, 2652, 2652, 2652, 2652, 2652, 2655, 2655, 
      2655, 2655, 2655, 2655, 2655, 2660, 2664, 2665, 2666, 2666, 2666, 2666, 2666, 2666, 2666, 2667, 
      2673, 2686, 2686, 2686, 2686, 2686, 2686, 2686, 2690, 2691, 2691, 2693, 2693, 2693, 2693, 2693, 
      2693, 2693, 2696, 2696, 2696, 2696, 2696, 2696, 2696, 2706, 2706, 2706, 2706, 2706, 2706, 2706, 
      2713, 2713, 2713, 2713, 2713, 2713, 2713, 2714, 2720, 2722, 2724, 2730, 2731, 2731, 2731, 2731, 
      2731, 2731, 2731, 2737, 2737, 2737, 2737, 2737, 2737, 2737, 2740, 2741, 2743, 2744, 2746, 2747, 
      2752, 2752, 2752, 2752, 2752, 2752, 2752, 2753, 2754, 2755, 2759, 2760, 2768, 2770, 2776, 2777, 
      2778, 2779, 2780, 2784, 2786, 2787, 2787, 2787, 2787, 2787, 2787, 2787, 2788, 2790, 2791, 2799, 
      2800, 2804, 2806, 2807, 2809, 2809, 2809, 2809, 2809, 2809, 2809, 2814, 2818, 2819, 2820, 2823, 
      2823, 2823, 2823, 2823, 2823, 2823, 2825, 2828, 2829, 2831, 2832, 2832, 2832, 2832, 2832, 2832, 
      2832, 2834, 2836, 2838, 2838, 2838, 2838, 2838, 2838, 2838, 2839, 2843, 2843, 2843, 2843, 2843, 
      2843, 2843, 2847, 2847, 2847, 2847, 2847, 2847, 2847, 2856, 2859, 2861, 2861, 2861, 2861, 2861, 
      2861, 2861, 2862, 2864, 2870, 2871, 2871, 2871, 2871, 2871, 2871, 2871, 2874, 2875, 2875, 2875, 
      2875, 2875, 2875, 2875, 2878, 2880, 2880, 2880, 2880, 2880, 2880, 2880, 2885, 2886, 2888, 2888, 
      2888, 2888, 2888, 2888, 2888, 2890, 2893, 2894, 2894, 2894, 2894, 2894, 2894, 2894, 2895, 2898, 
      2904, 2910, 2910, 2910, 2910, 2910, 2910, 2910, 2911, 2912, 2912, 2912, 2912, 2912, 2912, 2912, 
      2914, 2916, 2916, 2916, 2916, 2916, 2916, 2916, 2920, 2921, 2925, 2925, 2925, 2925, 2925, 2925, 
      2925, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2937, 2937, 2937, 2937, 2937, 2937, 2937, 2940, 
      2944, 2946, 2947, 2951, 2952, 2953, 2956, 2956, 2956, 2956, 2956, 2956, 2956, 2957, 2961, 2961, 
      2961, 2961, 2961, 2961, 2961, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2970, 2972, 2973, 2974, 
      2976, 2982, 2982, 2982, 2982, 2982, 2982, 2982, 2985, 2986, 2987, 2987, 2987, 2987, 2987, 2987, 
      2987, 2988, 2989, 2989, 2989, 2989, 2989, 2989, 2989, 2991, 2991, 2991, 2991, 2991, 2991, 2991, 
      2993, 2998, 2998, 2998, 2998, 2998, 2998, 2998, 3000, 3005, 3005, 3005, 3005, 3005, 3005, 3005, 
      3006, 3006, 3006, 3006, 3006, 3006, 3006, 3007, 3009, 3014, 3018, 3019, 3024, 3031, 3031, 3031, 
      3031, 3031, 3031, 3031, 3037, 3039, 3041, 3045, 3045, 3045, 3045, 3045, 3045, 3045, 3046, 3057, 
      3058, 3068, 3072, 3076, 3076, 3076, 3076, 3076, 3076, 3076, 3077, 3082, 3082, 3086, 3088, 3089, 
      3089, 3089, 3089, 3089, 3089, 3089, 3090, 3091, 3106, 3108, 3108, 3108, 3108, 3108, 3108, 3108, 
      3114, 3114, 3114, 3114, 3114, 3114, 3114, 3115, 3117, 3117, 3117, 3117, 3117, 3117, 3117, 3119, 
      3123, 3123, 3123, 3123, 3123, 3123, 3123, 3125, 3126, 3126, 3126, 3126, 3126, 3126, 3126, 3134, 
      3135, 3136, 3137, 3139, 3140, 3143, 3143, 3143, 3143, 3143, 3143, 3143, 3144, 3147, 3147, 3147, 
      3147, 3147, 3147, 3147, 3149, 3152, 3153, 3154, 3156, 3156, 3156, 3156, 3156, 3156, 3156, 3159, 
      3159, 3159, 3159, 3159, 3159, 3159, 3160, 3161, 3165, 3165, 3165, 3165, 3165, 3165, 3165, 3168, 
      3169, 3170, 3174, 3174, 3174, 3174, 3174, 3174, 3174, 3179, 3180, 3183, 3184, 3185, 3185, 3185, 
      3185, 3185, 3185, 3185, 3188, 3188, 3188, 3188, 3188, 3188, 3188, 3195, 3195, 3195, 3195, 3195, 
      3195, 3195, 3199, 3199, 3199, 3199, 3199, 3199, 3199, 3209, 3211, 3214, 3216, 3219, 3220, 3225, 
      3230, 3231, 3231, 3231, 3231, 3231, 3231, 3231, 3232, 3234, 3237, 3237, 3237, 3237, 3237, 3237, 
      3237, 3239, 3246, 3247, 3251, 3251, 3251, 3251, 3251, 3251, 3251, 3253, 3258, 3258, 3258, 3258, 
      3258, 3258, 3258, 3261, 3261, 3262, 3266, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3268, 3268, 
      3268, 3268, 3268, 3268, 3268, 3272, 3273, 3278, 3279, 3279, 3279, 3279, 3279, 3279, 3279, 3281, 
      3283, 3284, 3285, 3285, 3285, 3285, 3285, 3285, 3285, 3289, 3292, 3298, 3298, 3298, 3298, 3298, 
      3298, 3298, 3301, 3303, 3303, 3303, 3303, 3303, 3303, 3303, 3306, 3307, 3309, 3309, 3309, 3309, 
      3309, 3309, 3309, 3311, 3315, 3322, 3323, 3324, 3329, 3330, 3332, 3334, 3343, 3343, 3343, 3343, 
      3343, 3343, 3343, 3351, 3352, 3355, 3356, 3356, 3356, 3356, 3356, 3356, 3356, 3357, 3357, 3357, 
      3357, 3357, 3357, 3357, 3366, 3367, 3369, 3373, 3374, 3374, 3374, 3374, 3374, 3374, 3374, 3375, 
      3380, 3380, 3380, 3380, 3380, 3380, 3380, 3384, 3385, 3390, 3391, 3393, 3394, 3398, 3404, 3408, 
      3412, 3412, 3412, 3412, 3412, 3412, 3412, 3413, 3413, 3413, 3413, 3413, 3413, 3413, 3414, 3417, 
      3420, 3420, 3420, 3420, 3420, 3420, 3420, 3423, 3423, 3423, 3423, 3423, 3423, 3423, 3425, 3427, 
      3431, 3431, 3431, 3431, 3431, 3431, 3431, 3434, 3442, 3442, 3442, 3442, 3442, 3442, 3442, 3444, 
      3446, 3451, 3460, 3468, 3469, 3469, 3469, 3469, 3469, 3469, 3469, 3473, 3473, 3473, 3473, 3473, 
      3473, 3473, 3474, 3475, 3475, 3475, 3475, 3475, 3475, 3475, 3477, 3478, 3478, 3478, 3478, 3478, 
      3478, 3478, 3481, 3485, 3485, 3485, 3485, 3485, 3485, 3485, 3488, 3488, 3488, 3488, 3488, 3488, 
      3488, 3492, 3492, 3492, 3492, 3492, 3492, 3492, 3493, 3498, 3501, 3501, 3501, 3501, 3501, 3501, 
      3501, 3506, 3508, 3508, 3508, 3508, 3508, 3508, 3508, 3509, 3509, 3509, 3509, 3509, 3509, 3509, 
      3514, 3518, 3519, 3519, 3519, 3519, 3519, 3519, 3519, 3521, 3526, 3529, 3529, 3529, 3529, 3529, 
      3529, 3529, 3534, 3534, 3534, 3534, 3534, 3534, 3534, 3535, 3538, 3538, 3538, 3538, 3538, 3538, 
      3538, 3539, 3543, 3543, 3543, 3543, 3543, 3543, 3543, 3544, 3545, 3545, 3545, 3545, 3545, 3545, 
      3545, 3546, 3549, 3549, 3549, 3549, 3549, 3549, 3549, 3553, 3553, 3553, 3553, 3553, 3553, 3553, 
      3563, 3565, 3566, 3566, 3566, 3566, 3566, 3566, 3566, 3573, 3575, 3579, 3579, 3579, 3579, 3579, 
      3579, 3579, 3580, 3580, 3580, 3580, 3580, 3580, 3580, 3581, 3581, 3581, 3581, 3581, 3581, 3581, 
      3584, 3586, 3586, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3593, 3600, 3602, 3604, 3604, 3604, 
      3604, 3604, 3604, 3604, 3606, 3613, 3616, 3620, 3624, 3627, 3627, 3627, 3627, 3627, 3627, 3627, 
      3629, 3630, 3631, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3634, 3635, 3636, 3638, 3638, 3638, 
      3638, 3638, 3638, 3638, 3643, 3643, 3643, 3643, 3643, 3643, 3643, 3645, 3645, 3645, 3645, 3645, 
      3645, 3645, 3646, 3646, 3646, 3646, 3646, 3646, 3646, 3654, 3655, 3658, 3658, 3658, 3658, 3658, 
      3658, 3658, 3659, 3661, 3661, 3661, 3661, 3661, 3661, 3661, 3668, 3671, 3674, 3674, 3674, 3674, 
      3674, 3674, 3674, 3675, 3675, 3675, 3675, 3675, 3675, 3675, 3677, 3682, 3682, 3682, 3682, 3682, 
      3682, 3682, 3684, 3701, 3701, 3701, 3701, 3701, 3701, 3701, 3708, 3708, 3708, 3708, 3708, 3708, 
      3708, 3709, 3709, 3709, 3709, 3709, 3709, 3709, 3711, 3711, 3711, 3711, 3711, 3711, 3711, 3715, 
      3715, 3715, 3715, 3715, 3715, 3715, 3717, 3717, 3717, 3717, 3717, 3717, 3717, 3718, 3719, 3722, 
      3722, 3722, 3722, 3722, 3722, 3722, 3724, 3729, 3732, 3735, 3735, 3735, 3735, 3735, 3735, 3735, 
      3741, 3741, 3741, 3741, 3741, 3741, 3741, 3742, 3742, 3742, 3742, 3742, 3742, 3742, 3744, 3748, 
      3751, 3754, 3758, 3759, 3761, 3761, 3761, 3761, 3761, 3761, 3761, 3766, 3768, 3768, 3768, 3768, 
      3768, 3768, 3768, 3771, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3774, 3782, 3782, 3782, 3782, 
      3782, 3782, 3782, 3783, 3783, 3783, 3783, 3783, 3783, 3783, 3785, 3785, 3786, 3787, 3789, 3789, 
      3789, 3789, 3789, 3789, 3789, 3794, 3797, 3797, 3797, 3797, 3797, 3797, 3797, 3798, 3808, 3814, 
      3819, 3820, 3821, 3821, 3821, 3821, 3821, 3821, 3821, 3824, 3825, 3827, 3829, 3837, 3839, 3842, 
      3848, 3853, 3853, 3853, 3853, 3853, 3853, 3853, 3857, 3858, 3862, 3862, 3862, 3862, 3862, 3862, 
      3862, 3864, 3865, 3871, 3872, 3873, 3873, 3873, 3873, 3873, 3873, 3873, 3877, 3880, 3880, 3880, 
      3880, 3880, 3880, 3880, 3881, 3886, 3886, 3886, 3886, 3886, 3886, 3886, 3887, 3890, 3892, 3892, 
      3892, 3892, 3892, 3892, 3892, 3900, 3900, 3900, 3900, 3900, 3900, 3900, 3902, 3905, 3905, 3905, 
      3905, 3905, 3905, 3905, 3907, 3908, 3908, 3908, 3908, 3908, 3908, 3908, 3909, 3909, 3909, 3909, 
      3909, 3909, 3909, 3912, 3913, 3918, 3919, 3922, 3924, 3925, 3925, 3925, 3925, 3925, 3925, 3925, 
      3927, 3928, 3941, 3950, 3950, 3954, 3956, 3959, 3959, 3959, 3959, 3959, 3959, 3959, 3963, 3963, 
      3963, 3963, 3963, 3963, 3963, 3964, 3964, 3964, 3964, 3964, 3964, 3964, 3965, 3969, 3971, 3971, 
      3971, 3971, 3971, 3971, 3971, 3973, 3973, 3973, 3973, 3973, 3973, 3973, 3975, 3977, 3977, 3977, 
      3977, 3977, 3977, 3977, 3979, 3985, 3989, 3997, 3998, 3998, 3998, 3998, 3998, 3998, 3998, 3999, 
      3999, 3999, 3999, 3999, 3999, 3999, 4008, 4009, 4010, 4010, 4010, 4010, 4010, 4010, 4010, 4014, 
      4019, 4023, 4026, 4027, 4031, 4033, 4033, 4033, 4033, 4033, 4033, 4033, 4034, 4039, 4039, 4039, 
      4039, 4039, 4039, 4039, 4042, 4043, 4044, 4047, 4047, 4047, 4047, 4047, 4047, 4047, 4054, 4055, 
      4059, 4059, 4059, 4059, 4059, 4059, 4059, 4061, 4067, 4067, 4067, 4067, 4067, 4067, 4067, 4068, 
      4069, 4072, 4075, 4076, 4077, 4078, 4078, 4078, 4078, 4078, 4078, 4078, 4079, 4079, 4079, 4079, 
      4079, 4079, 4079, 4081, 4084, 4085, 4085, 4085, 4085, 4085, 4085, 4085, 4087, 4091, 4092, 4097, 
      4098, 4099, 4101, 4102, 4102, 4102, 4102, 4102, 4102, 4102, 4103, 4110, 4112, 4113, 4113, 4113, 
      4113, 4113, 4113, 4113, 4116, 4117, 4118, 4124, 4124, 4124, 4124, 4124, 4124, 4124, 4132, 4133, 
      4133, 4133, 4133, 4133, 4133, 4133, 4136, 4138, 4138, 4138, 4138, 4138, 4138, 4138, 4139, 4139, 
      4139, 4139, 4139, 4139, 4139, 4140, 4144, 4144, 4144, 4144, 4144, 4144, 4144, 4146, 4148, 4150, 
      4151, 4157, 4159, 4161, 4163, 4168, 4168, 4168, 4168, 4168, 4168, 4168, 4170, 4172, 4173, 4175, 
      4175, 4175, 4175, 4175, 4175, 4175, 4177, 4179, 4181, 4188, 4188, 4188, 4188, 4188, 4188, 4188, 
      4190, 4192, 4192, 4192, 4192, 4192, 4192, 4192, 4195, 4197, 4203, 4205, 4211, 4212, 4212, 4212, 
      4212, 4212, 4212, 4212, 4214, 4214, 4214, 4214, 4214, 4214, 4214, 4217, 4222, 4223, 4223, 4223, 
      4223, 4223, 4223, 4223, 4232, 4232, 4232, 4232, 4232, 4232, 4232, 4241, 4242, 4243, 4243, 4243, 
      4243, 4243, 4243, 4243, 4248, 4248, 4248, 4248, 4248, 4248, 4248, 4250, 4258, 4263, 4264, 4264, 
      4264, 4264, 4264, 4264, 4264, 4266, 4267, 4269, 4273, 4274, 4274, 4274, 4274, 4274, 4274, 4274, 
      4275, 4275, 4275, 4275, 4275, 4275, 4275, 4276, 4277, 4277, 4277, 4277, 4277, 4277, 4277, 4278, 
      4279, 4281, 4283, 4285, 4287, 4291, 4291, 4291, 4291, 4291, 4291, 4291, 4295, 4295, 4295, 4295, 
      4295, 4295, 4295, 4300, 4305, 4307, 4307, 4307, 4307, 4307, 4307, 4307, 4308, 4308, 4308, 4308, 
      4308, 4308, 4308, 4309, 4309, 4309, 4309, 4309, 4309, 4309, 4312, 4313, 4313, 4313, 4313, 4313, 
      4313, 4313, 4315, 4317, 4317, 4317, 4317, 4317, 4317, 4317, 4318, 4318, 4318, 4318, 4318, 4318, 
      4318, 4320, 4320, 4320, 4320, 4320, 4320, 4320, 4322, 4323, 4327, 4330, 4331, 4336, 4339, 4343, 
      4344, 4344, 4344, 4344, 4344, 4344, 4344, 4346, 4349, 4350, 4350, 4350, 4350, 4350, 4350, 4350, 
      4352, 4354, 4354, 4354, 4354, 4354, 4354, 4354, 4360, 4363, 4363, 4363, 4363, 4363, 4363, 4363, 
      4368, 4379, 4379, 4379, 4379, 4379, 4379, 4379, 4380, 4383, 4385, 4385, 4385, 4385, 4385, 4385, 
      4385, 4386, 4388, 4389, 4389, 4389, 4389, 4389, 4389, 4389, 4395, 4396, 4398, 4398, 4402, 4402, 
      4402, 4402, 4402, 4402, 4402, 4404, 4405, 4406, 4410, 4411, 4412, 4414, 4415, 4417, 4419, 4419, 
      4419, 4419, 4419, 4419, 4419, 4421, 4422, 4422, 4422, 4422, 4422, 4422, 4422, 4423, 4424, 4428, 
      4428, 4428, 4428, 4428, 4428, 4428, 4430, 4432, 4432, 4432, 4432, 4432, 4432, 4432, 4433, 4438, 
      4439, 4445, 4445, 4445, 4445, 4445, 4445, 4445, 4448, 4454, 4459, 4461, 4466, 4467, 4469, 4469, 
      4469, 4469, 4469, 4469, 4469, 4470, 4476, 4477, 4479, 4485, 4485, 4485, 4485, 4485, 4485, 4485, 
      4487, 4488, 4489, 4489, 4489, 4489, 4489, 4489, 4489, 4490, 4496, 4498, 4500, 4500, 4500, 4500, 
      4500, 4500, 4500, 4501, 4501, 4501, 4501, 4501, 4501, 4501, 4502, 4503, 4503, 4503, 4503, 4503, 
      4503, 4503, 4511, 4513, 4513, 4513, 4513, 4513, 4513, 4513, 4515, 4516, 4518, 4519, 4521, 4529, 
      4531, 4535, 4535, 4535, 4535, 4535, 4535, 4535, 4538, 4541, 4542, 4547, 4550, 4551, 4553, 4558, 
      4567, 4573, 4575, 4579, 4580, 4581, 4581, 4581, 4581, 4581, 4581, 4581, 4582, 4583, 4584, 4591, 
      4602, 4603, 4605, 4605, 4605, 4605, 4605, 4605, 4605, 4606, 4609, 4609, 4609, 4609, 4609, 4609, 
      4609, 4612, 4613, 4619, 4620, 4620, 4620, 4620, 4620, 4620, 4620, 4622, 4625, 4626, 4626, 4626, 
      4626, 4626, 4626, 4626, 4629, 4634, 4640, 4641, 4645, 4646, 4657, 4661, 4662, 4663, 4666, 4671, 
      4671, 4671, 4671, 4671, 4671, 4671, 4672, 4673, 4675, 4676, 4676, 4676, 4676, 4676, 4676, 4676, 
      4679, 4685, 4685, 4685, 4685, 4685, 4685, 4685, 4686, 4687, 4687, 4687, 4687, 4687, 4687, 4687, 
      4688, 4689, 4696, 4697, 4701, 4703, 4703, 4703, 4703, 4703, 4703, 4703, 4712, 4712, 4712, 4712, 
      4712, 4712, 4712, 4713, 4714, 4715, 4718, 4718, 4718, 4718, 4718, 4718, 4718, 4727, 4729, 4732, 
      4732, 4732, 4732, 4732, 4732, 4732, 4733, 4733, 4733, 4733, 4733, 4733, 4733, 4734, 4734, 4734, 
      4734, 4734, 4734, 4734, 4736, 4738, 4739, 4741, 4741, 4741, 4741, 4741, 4741, 4741, 4744, 4744, 
      4744, 4744, 4744, 4744, 4744, 4748, 4751, 4754, 4760, 4760, 4763, 4765, 4771, 4774, 4775, 4776, 
      4777, 4777, 4777, 4777, 4777, 4777, 4777, 4778, 4785, 4790, 4792, 4793, 4794, 4795, 4795, 4795, 
      4795, 4795, 4795, 4795, 4800, 4801, 4801, 4801, 4801, 4801, 4801, 4801, 4805, 4813, 4814, 4821, 
      4821, 4821, 4821, 4821, 4821, 4821, 4826, 4828, 4830, 4830, 4830, 4830, 4830, 4830, 4830, 4832, 
      4838, 4838, 4838, 4838, 4838, 4838, 4838, 4841, 4841, 4841, 4841, 4841, 4841, 4841, 4843, 4843, 
      4843, 4843, 4843, 4843, 4843, 4844, 4851, 4852, 4854, 4860, 4861, 4861, 4861, 4861, 4861, 4861, 
      4861, 4864, 4864, 4864, 4864, 4864, 4864, 4864, 4869, 4870, 4871, 4873, 4879, 4881, 4883, 4885, 
      4888, 4888, 4888, 4888, 4888, 4888, 4888, 4889, 4889, 4889, 4889, 4889, 4889, 4889, 4893, 4896, 
      4897, 4897, 4897, 4897, 4897, 4897, 4897, 4898, 4898, 4898, 4898, 4898, 4898, 4898, 4901, 4903, 
      4903, 4903, 4903, 4903, 4903, 4903, 4905, 4905, 4905, 4905, 4905, 4905, 4905, 4906, 4916, 4932, 
      4932, 4932, 4932, 4932, 4932, 4932, 4933, 4933, 4933, 4933, 4933, 4933, 4933, 4936, 4937, 4937, 
      4937, 4937, 4937, 4937, 4937, 4938, 4942, 4945, 4946, 4947, 4947, 4947, 4947, 4947, 4947, 4947, 
      4949, 4956, 4962, 4962, 4962, 4962, 4962, 4962, 4962, 4965, 4965, 4965, 4965, 4965, 4965, 4965, 
      4967, 4967, 4967, 4967, 4967, 4967, 4967, 4968, 4968, 4968, 4968, 4968, 4968, 4968, 4970, 4972, 
      4973, 4976, 4978, 4978, 4978, 4978, 4978, 4978, 4978, 4980, 4980, 4980, 4980, 4980, 4980, 4980, 
      4986, 4987, 4987, 4987, 4987, 4987, 4987, 4987, 4993, 4994, 4995, 4995, 4995, 4995, 4995, 4995, 
      4995, 4997, 5003, 5003, 5003, 5003, 5003, 5003, 5003, 5011, 5013, 5019, 5019, 5019, 5019, 5019, 
      5019, 5019, 5021, 5025, 5033, 5034, 5041, 5041, 5041, 5041, 5041, 5041, 5041, 5043, 5050, 5050, 
      5052, 5053, 5055, 5056, 5063, 5063, 5063, 5063, 5063, 5063, 5063, 5066, 5069, 5070, 5070, 5070, 
      5070, 5070, 5070, 5070, 5071, 5072, 5073, 5074, 5075, 5079, 5079, 5079, 5079, 5079, 5079, 5079, 
      5080, 5080, 5080, 5080, 5080, 5080, 5080, 5082, 5087, 5092, 5092, 5092, 5092, 5092, 5092, 5092, 
      5093, 5095, 5102, 5102, 5102, 5102, 5102, 5102, 5102, 5106, 5109, 5112, 5113, 5119, 5119, 5119, 
      5119, 5119, 5119, 5119, 5121, 5125, 5130, 5130, 5131, 5136, 5136, 5136, 5136, 5136, 5136, 5136, 
      5138, 5139, 5152, 5158, 5158, 5158, 5158, 5158, 5158, 5158, 5162, 5164, 5164, 5164, 5164, 5164, 
      5164, 5164, 5165, 5165, 5165, 5165, 5165, 5165, 5165, 5170, 5173, 5174, 5184, 5187, 5188, 5189, 
      5189, 5189, 5189, 5189, 5189, 5189, 5192, 5201, 5209, 5210, 5213, 5216, 5216, 5216, 5216, 5216, 
      5216, 5216, 5219, 5219, 5219, 5219, 5219, 5219, 5219, 5220 ] ]