[[0,32,33,35,40,41,42,43,45,46,48,49,50,51,57,58,60,61,62,63,64,78,94,300,366,367,368,369,374,375,376,377,378,381,510,523,538,632,633,758,759,760,761,772,773,984,985,1074,1075,1081,1082,1142,1143,1151,1157,1254,1267,1377,1379,1384,1481,1487,1550,1702,1710,1800,1801,1860,1861,1871,1932,1933,1934,1940,1941,1942,1943,2014,2024,2025,2027,2028,2164,2165,2175,2177,2179,2290,2410,2419,2462,2546,2547,2556,2560,2561,2572,2702,2703,2710,2711,2714,2762,2763,2896,2897,2907,2946,2958,2959,2960,2965,2966,3004,3005,3006,3007,3011,3014,3015,3017,3095,3096,3102,3104,3106,3107,3108,3109,3193,3240,3241,3242,3247,3249,3250,3252,3304,3336,3348,3349,3360,3390,3401,3429,3430,3438,3481,3492,3568,3569,3610,3622,3623,3624,3630,3633,3635,3680,3690,3708,3709,3717,3718,3721,3750,3822,3831,3902,3914,3915,3954,3966,3968,3974,3977,3982,4046,4047,4053,4084,4085,4095],[34,36,47,52,59,65,93,110,111,248,370,380,494,525,566,646,766,767,768,769,770,771,994,1122,1123,1144,1150,1167,1184,1189,1255,1381,1472,1486,1802,1808,1811,1935,1937,1939,1945,2016,2022,2023,2166,2167,2168,2169,2173,2174,2176,2178,2300,2303,2339,2412,2473,2558,2562,2569,2571,2618,2623,2624,2629,2704,2706,2712,2713,2715,2717,2755,2756,2757,2765,2836,2838,2850,2904,2905,2911,2952,2953,2961,2962,2970,3008,3012,3013,3016,3094,3097,3098,3243,3253,3312,3337,3343,3350,3358,3391,3400,3431,3433,3439,3443,3480,3488,3611,3625,3629,3632,3688,3691,3692,3710,3711,3712,3722,3763,3823,3824,3835,3873,3916,3922,3923,3955,3960,3962,3963,3964,3969,3975,3978,3979,3981,3984,3989,3990,4079,4086,4094],[16,17,25,26,27,28,31,37,44,79,87,88,90,91,144,162,220,232,372,379,412,427,462,474,526,527,536,551,645,742,755,762,774,818,986,1056,1058,1087,1153,1156,1168,1185,1194,1196,1202,1239,1296,1297,1306,1376,1378,1380,1382,1385,1387,1390,1432,1460,1461,1462,1470,1473,1551,1558,1564,1597,1687,1688,1694,1703,1803,1815,1848,1859,1866,1870,1936,1998,2015,2017,2029,2030,2172,2276,2277,2278,2283,2285,2286,2291,2338,2347,2348,2349,2352,2394,2413,2422,2526,2548,2554,2559,2616,2617,2619,2626,2628,2705,2738,2739,2740,2748,2751,2754,2758,2822,2829,2830,2831,2837,2839,2857,2898,2899,2910,2948,2956,2988,2996,2997,3003,3030,3031,3100,3103,3105,3138,3144,3146,3150,3195,3196,3204,3207,3244,3316,3351,3376,3377,3389,3398,3402,3428,3432,3436,3437,3440,3441,3468,3469,3470,3477,3478,3493,3508,3524,3525,3531,3535,3536,3539,3546,3548,3583,3666,3687,3713,3714,3719,3738,3739,3744,3759,3778,3779,3780,3786,3787,3808,3872,3885,3909,3912,3917,3950,3970,3980,3983,3992,4034,4048,4057,4073,4078,4087,4088,4090,4092],[18,19,20,29,38,53,80,92,175,176,198,259,373,430,431,432,443,444,445,503,507,539,546,553,635,636,641,643,743,750,763,802,814,863,993,1057,1073,1084,1093,1145,1146,1152,1182,1186,1197,1203,1238,1246,1250,1263,1307,1309,1312,1386,1463,1466,1467,1469,1471,1474,1598,1617,1686,1689,1697,1700,1709,1712,1714,1746,1809,1812,1813,1814,1862,1872,1982,1999,2000,2001,2006,2007,2010,2011,2018,2031,2279,2287,2340,2341,2342,2351,2395,2404,2405,2411,2463,2464,2476,2477,2527,2557,2563,2602,2610,2707,2708,2716,2752,2780,2782,2789,2790,2823,2832,2833,2848,2856,2900,2947,2989,2990,2991,2992,2998,2999,3001,3009,3033,3041,3042,3139,3152,3160,3162,3165,3192,3194,3202,3266,3305,3356,3357,3378,3397,3444,3474,3475,3476,3510,3516,3521,3526,3545,3547,3551,3570,3571,3576,3578,3579,3620,3626,3627,3667,3668,3681,3682,3689,3716,3720,3740,3746,3747,3748,3751,3757,3758,3781,3785,3789,3791,3819,3903,3908,3942,3948,3949,3953,3956,3967,3985,4019,4040,4043,4045,4054,4055,4072,4080,4091],[22,24,30,66,81,82,83,86,89,182,234,244,307,413,426,428,433,434,440,441,495,504,509,528,541,549,634,637,640,644,647,726,735,744,752,775,780,783,913,987,988,1069,1070,1071,1147,1187,1241,1282,1313,1315,1328,1334,1335,1338,1389,1444,1468,1482,1552,1695,1699,1711,1713,1715,1782,1810,1887,2003,2013,2020,2026,2080,2128,2171,2212,2292,2305,2424,2466,2470,2573,2614,2615,2743,2747,2749,2750,2793,2794,2795,2972,2993,2994,3000,3002,3032,3034,3039,3045,3099,3110,3140,3151,3197,3200,3203,3225,3254,3306,3352,3383,3384,3386,3387,3399,3479,3482,3517,3550,3582,3612,3617,3669,3673,3675,3677,3678,3693,3745,3788,3832,3874,3875,3880,3883,3913,3921,3925,3926,3943,3957,3965,3971,4008,4010,4020,4021,4036,4050,4074],[21,73,154,159,160,192,245,249,261,313,371,470,471,521,534,550,554,616,776,992,995,1059,1068,1132,1174,1240,1257,1264,1266,1268,1298,1329,1441,1464,1475,1504,1506,1553,1554,1555,1799,1804,1805,1806,1864,1867,2002,2012,2021,2170,2301,2346,2350,2353,2378,2528,2536,2574,2603,2604,2613,2627,2668,2741,2742,2746,2766,2781,2783,2824,2825,2840,2909,3010,3038,3040,3043,3044,3070,3082,3161,3164,3198,3224,3234,3255,3307,3308,3313,3318,3319,3385,3392,3416,3426,3434,3471,3509,3511,3513,3552,3572,3613,3621,3670,3676,3679,3741,3790,3876,3882,3887,3904,3910,3944,3951,3958,3972,4009,4011,4017,4035,4041,4049,4051],[23,39,157,187,235,247,263,314,326,442,446,505,540,547,552,562,579,638,660,712,734,736,865,879,996,1067,1138,1155,1256,1258,1310,1505,1512,1516,1561,1562,1701,1704,1807,1854,1858,1873,2019,2091,2092,2288,2289,2293,2304,2390,2391,2438,2465,2471,2538,2542,2544,2549,2605,2606,2744,2745,2784,2788,2792,2901,2902,2949,3035,3078,3080,3081,3119,3148,3208,3232,3275,3394,3403,3423,3514,3538,3540,3573,3580,3581,3683,3684,3694,3723,3749,3752,3762,3792,3793,3803,3818,3825,3877,3881,3924,3927,3945,3946,3961,3991,3994,4015,4018,4037],{"0":84,"1":112,"2":145,"3":156,"4":193,"5":199,"6":200,"7":201,"8":212,"9":213,"10":214,"11":217,"12":236,"13":282,"14":394,"15":414,"16":425,"17":447,"18":448,"19":449,"20":529,"21":532,"22":542,"23":567,"24":581,"25":642,"26":727,"27":737,"28":738,"29":757,"30":819,"31":868,"32":881,"34":989,"35":997,"36":999,"37":1066,"38":1076,"39":1085,"40":1137,"41":1259,"42":1261,"43":1314,"44":1465,"45":1484,"46":1560,"47":1565,"48":1696,"49":1856,"50":1863,"51":1868,"52":1869,"53":2008,"54":2032,"55":2039,"56":2048,"57":2090,"58":2198,"59":2209,"60":2213,"61":2238,"62":2280,"63":2284,"64":2343,"65":2344,"66":2379,"67":2380,"68":2386,"69":2407,"70":2474,"71":2510,"72":2530,"73":2541,"74":2543,"75":2620,"76":2709,"77":2835,"78":2852,"79":2906,"80":2908,"81":2955,"82":2957,"83":3071,"84":3101,"85":3111,"86":3122,"87":3154,"88":3217,"89":3220,"90":3222,"91":3251,"92":3280,"93":3310,"94":3342,"95":3344,"96":3345,"97":3347,"98":3379,"99":3395,"100":3424,"101":3445,"102":3472,"103":3483,"104":3491,"105":3519,"106":3520,"107":3574,"108":3577,"109":3616,"110":3671,"111":3674,"112":3685,"113":3724,"114":3725,"115":3733,"116":3734,"117":3753,"118":3782,"119":3783,"120":3800,"121":3816,"122":3886,"123":3905,"124":3986,"125":4012,"126":4013,"127":4056},[13,122,126,243,246,295,350,502,511,582,639,648,728,739,741,751,843,878,998,1060,1083,1265,1283,1289,1299,1433,1536,1556,1563,1716,1753,1793,1992,1995,1997,2004,2009,2043,2081,2082,2083,2093,2095,2110,2210,2211,2239,2260,2296,2299,2302,2387,2388,2393,2417,2467,2519,2531,2540,2555,2625,2679,2753,2759,2786,2841,2847,2853,2968,2980,2983,3072,3076,3077,3124,3153,3236,3237,3248,3256,3265,3290,3309,3315,3317,3338,3355,3450,3451,3452,3512,3523,3527,3534,3541,3650,3672,3695,3696,3701,3702,3704,3707,3732,3735,3742,3754,3802,3804,3805,3809,3888,4058,4059],[1,96,146,177,178,179,189,190,298,351,352,405,577,583,719,745,756,803,845,869,896,906,1022,1050,1072,1169,1222,1249,1252,1294,1300,1308,1311,1330,1434,1442,1485,1519,1521,1559,1666,1667,1668,1682,1690,1747,1754,1795,1797,1983,2038,2040,2046,2084,2089,2252,2272,2273,2281,2294,2298,2381,2382,2396,2403,2408,2423,2472,2511,2545,2564,2609,2785,2808,2834,2854,2969,3018,3019,3079,3120,3131,3141,3145,3163,3209,3219,3262,3264,3286,3314,3353,3359,3393,3417,3484,3487,3522,3528,3686,3697,3731,3784,3794,3810,3815,3817,3821,3834,3918],[67,76,95,108,109,113,114,124,127,128,147,158,180,195,209,210,215,219,228,237,241,242,251,260,283,301,308,363,406,484,488,489,492,496,497,512,518,544,576,578,661,740,781,816,829,852,990,991,1049,1053,1065,1124,1125,1154,1170,1195,1231,1262,1269,1290,1440,1447,1480,1669,1755,1759,1784,1798,2047,2120,2142,2240,2241,2251,2261,2268,2295,2306,2311,2321,2402,2406,2409,2414,2420,2421,2475,2529,2532,2565,2570,2575,2586,2611,2621,2630,2669,2686,2851,2932,2954,2973,3024,3058,3089,3090,3112,3121,3125,3134,3155,3201,3210,3226,3233,3446,3466,3467,3489,3490,3518,3567,3598,3705,3706,3715,3755,3761,3795,3826,3830,3959,3976,3993,3995,4022,4038,4075],[9,10,97,125,148,183,196,202,211,216,221,229,238,256,264,284,309,358,395,396,435,498,537,543,568,569,570,575,580,662,729,746,804,805,811,812,815,861,876,1040,1048,1077,1078,1192,1223,1276,1278,1280,1301,1302,1446,1453,1477,1522,1530,1584,1706,1783,1865,1944,1993,2088,2094,2111,2119,2125,2143,2220,2242,2275,2307,2320,2364,2383,2392,2418,2431,2432,2468,2521,2537,2539,2680,2684,2826,2842,2843,2963,2971,3036,3073,3091,3113,3137,3149,3158,3239,3267,3268,3274,3278,3279,3320,3321,3322,3328,3333,3339,3354,3361,3418,3422,3425,3427,3455,3456,3457,3462,3532,3537,3560,3561,3585,3604,3605,3663,3664,3698,3796,3820,3827,3829,3884,3911,3919,4016,4082,4083],[2,15,54,68,75,98,121,163,184,203,204,218,250,302,310,364,421,475,476,477,535,548,555,564,572,627,659,713,725,731,880,966,1088,1140,1183,1316,1336,1392,1393,1443,1476,1478,1483,1520,1523,1532,1547,1691,1698,1705,1730,1849,1900,1916,1920,1930,1984,1990,1994,2067,2068,2069,2077,2078,2113,2123,2199,2214,2222,2243,2263,2271,2315,2316,2318,2319,2323,2397,2398,2434,2445,2520,2568,2598,2600,2601,2607,2646,2671,2682,2849,2967,2984,3046,3052,3065,3126,3147,3166,3206,3227,3228,3238,3261,3269,3281,3291,3329,3335,3340,3346,3485,3494,3533,3619,3634,3703,3726,3736,3760,3811,3836,3845,3849,3878,3898,3899,3928,3952,4014,4061,4076,4081,4093],[55,72,103,106,107,123,169,253,258,265,273,276,277,278,297,311,339,343,359,415,436,490,506,524,530,533,563,571,617,625,721,777,810,813,853,870,943,982,1043,1061,1086,1094,1148,1242,1251,1260,1270,1275,1277,1291,1409,1435,1450,1534,1545,1557,1575,1585,1632,1756,1874,1985,1991,2033,2041,2042,2045,2066,2079,2096,2097,2098,2103,2104,2108,2109,2114,2122,2126,2215,2216,2221,2224,2226,2227,2270,2322,2324,2345,2399,2415,2433,2447,2553,2566,2662,2664,2665,2685,2719,2761,2764,2767,2827,2844,2950,2985,3020,3054,3055,3056,3083,3084,3133,3156,3159,3178,3235,3245,3257,3332,3362,3363,3388,3553,3565,3614,3631,3651,3652,3658,3660,3661,3743,3812,3860,3861,3870,3871,3987],[3,74,85,99,153,155,170,172,174,231,266,274,280,294,340,344,416,437,463,464,465,468,472,473,486,487,513,514,565,654,657,658,679,714,723,747,764,817,871,872,1023,1031,1041,1051,1062,1079,1107,1108,1116,1224,1247,1248,1253,1279,1281,1292,1331,1339,1403,1528,1571,1663,1718,1720,1796,1832,1875,1901,1902,1915,1919,1996,2005,2049,2050,2063,2065,2105,2112,2115,2121,2124,2127,2217,2250,2262,2308,2312,2425,2426,2469,2533,2597,2647,2670,2672,2673,2683,2687,2728,2791,2845,2858,2974,2981,2986,3053,3066,3088,3135,3205,3229,3260,3284,3287,3288,3323,3374,3375,3447,3465,3486,3504,3505,3529,3549,3562,3563,3564,3584,3592,3599,3618,3737,3756,3838,3855,3858,3879,3889,4007,4042,4044],[8,12,161,173,197,262,292,322,324,327,337,353,360,417,438,469,478,479,480,545,556,573,584,585,601,649,655,730,753,754,806,882,883,884,889,890,893,895,976,979,1007,1020,1037,1042,1055,1111,1113,1115,1119,1135,1141,1163,1230,1237,1243,1271,1303,1439,1448,1457,1459,1533,1549,1582,1610,1681,1684,1692,1757,1760,1785,1786,1833,1850,1914,2150,2151,2152,2158,2161,2162,2181,2265,2269,2313,2332,2416,2436,2439,2450,2452,2453,2454,2457,2460,2461,2524,2587,2595,2599,2631,2675,2681,2721,2731,2811,2828,2855,2903,2964,2982,3028,3029,3047,3064,3123,3136,3142,3167,3187,3189,3212,3273,3277,3282,3283,3289,3292,3299,3303,3311,3364,3370,3404,3458,3495,3496,3502,3503,3542,3575,3587,3608,3728,3764,3773,3775,3797,3801,3807,3833,3837,3848,3854,3857,3862,3890,3900,3936,3998,4039,4052,4089],{"0":4,"1":11,"2":77,"3":104,"4":188,"5":191,"6":205,"7":206,"8":207,"9":208,"10":222,"11":223,"12":230,"13":233,"14":239,"15":254,"16":279,"17":281,"18":303,"19":312,"20":328,"21":329,"22":382,"23":408,"24":409,"25":466,"26":481,"27":491,"28":519,"29":520,"30":522,"31":574,"32":600,"33":722,"34":778,"35":786,"36":820,"37":830,"38":848,"39":875,"40":877,"41":894,"42":902,"44":917,"45":967,"46":1001,"47":1002,"48":1003,"49":1004,"50":1006,"51":1089,"52":1090,"53":1091,"54":1100,"55":1105,"56":1121,"57":1136,"58":1139,"59":1171,"60":1172,"61":1175,"62":1204,"63":1284,"64":1325,"65":1394,"66":1396,"67":1397,"68":1401,"69":1402,"70":1405,"71":1406,"72":1407,"73":1408,"74":1449,"75":1507,"76":1508,"77":1513,"78":1514,"79":1515,"80":1517,"81":1518,"82":1529,"83":1531,"84":1539,"85":1594,"86":1596,"87":1606,"88":1625,"89":1677,"90":1678,"91":1717,"92":1719,"93":1726,"94":1729,"95":1732,"96":1733,"97":1748,"98":1749,"99":1775,"100":1780,"101":1781,"102":1820,"103":1840,"104":1903,"105":1910,"106":1912,"107":1913,"108":1938,"109":1946,"110":1987,"111":2034,"112":2044,"113":2129,"114":2130,"115":2131,"116":2132,"117":2153,"118":2157,"119":2159,"120":2160,"121":2163,"122":2205,"123":2208,"124":2223,"125":2258,"126":2274,"127":2297,"128":2325,"129":2326,"130":2400,"131":2427,"132":2437,"133":2440,"134":2444,"135":2448,"136":2451,"137":2458,"138":2518,"139":2567,"140":2588,"141":2612,"142":2643,"143":2648,"144":2730,"145":2734,"146":2768,"147":2769,"148":2812,"149":2859,"150":2860,"151":2871,"152":2915,"153":2922,"154":3048,"155":3049,"156":3057,"157":3059,"158":3060,"159":3061,"160":3068,"161":3085,"162":3117,"163":3118,"164":3127,"165":3179,"166":3186,"167":3191,"168":3211,"169":3213,"170":3246,"171":3293,"172":3294,"173":3298,"174":3300,"175":3301,"176":3330,"177":3331,"178":3365,"179":3372,"180":3380,"181":3415,"182":3442,"183":3530,"184":3588,"185":3609,"186":3659,"187":3776,"188":3813,"189":3839,"190":3840,"191":3842,"192":3843,"193":3844,"194":3856,"195":3859,"196":3863,"197":3864,"198":3867,"199":3896,"200":3947,"201":3997,"202":4006,"203":4023,"204":4025,"205":4069},[14,56,69,100,105,165,194,224,257,296,299,305,341,357,389,397,398,403,467,485,499,500,587,603,604,618,703,715,720,748,782,784,785,833,858,873,968,969,975,1008,1011,1016,1019,1021,1032,1045,1052,1098,1118,1133,1134,1164,1214,1226,1295,1332,1395,1400,1404,1410,1411,1418,1420,1436,1437,1454,1572,1608,1664,1671,1693,1731,1734,1735,1761,1776,1787,1792,1816,1817,1880,1884,1918,1921,1960,1961,1986,2057,2058,2061,2062,2064,2085,2086,2147,2200,2225,2244,2249,2256,2257,2259,2401,2456,2534,2550,2594,2633,2644,2645,2689,2724,2760,2770,2787,2861,2873,2912,2913,2914,2916,2917,2919,2926,2928,2931,2933,2934,2975,2995,3027,3067,3069,3074,3075,3114,3132,3176,3185,3188,3190,3216,3231,3324,3341,3369,3371,3381,3448,3454,3459,3463,3464,3507,3554,3556,3591,3593,3600,3615,3636,3653,3699,3777,3814,3846,3847,3851,3897,3929,3930,3941,4002,4003,4060,4066,4070],[5,6,70,130,166,225,240,285,291,293,330,338,342,345,361,362,388,392,399,407,410,422,531,586,613,619,629,663,664,672,708,724,732,821,825,826,839,841,842,844,864,885,891,914,936,977,983,1005,1012,1013,1014,1018,1024,1034,1035,1095,1110,1114,1117,1126,1127,1158,1199,1201,1215,1220,1225,1245,1304,1317,1323,1324,1337,1342,1354,1413,1419,1524,1535,1538,1619,1639,1670,1672,1727,1728,1772,1778,1818,1821,1822,1826,1829,1830,1831,1834,1841,1845,1857,1876,1888,1911,1959,2059,2075,2076,2116,2144,2148,2149,2180,2182,2184,2186,2191,2194,2196,2206,2218,2245,2314,2317,2331,2333,2335,2365,2375,2576,2591,2592,2596,2608,2634,2636,2639,2640,2641,2666,2688,2690,2691,2720,2775,2779,2796,2797,2805,2809,2810,2846,2869,2872,2874,2878,2920,2925,2939,2940,2941,2942,2943,2951,2977,2987,3021,3026,3062,3063,3086,3115,3128,3230,3263,3295,3405,3449,3555,3597,3646,3654,3655,3662,3665,3700,3774,3891,3931,3935,3939,3940,3988,3996,3999,4030,4031],[115,131,143,164,227,252,255,268,270,304,335,346,355,356,365,383,439,450,598,615,621,624,626,652,656,669,682,684,704,707,749,824,827,849,856,897,898,905,921,980,1000,1026,1036,1038,1046,1054,1092,1096,1102,1104,1106,1128,1173,1190,1198,1205,1244,1305,1318,1322,1340,1341,1343,1344,1348,1351,1361,1362,1383,1412,1414,1416,1417,1421,1422,1456,1458,1488,1543,1567,1568,1569,1579,1605,1611,1654,1707,1708,1721,1750,1762,1763,1765,1771,1773,1774,1777,1819,1824,1828,1836,1844,1846,1855,1904,1926,1928,1947,1948,1989,2035,2073,2099,2107,2117,2133,2139,2146,2183,2193,2195,2309,2329,2334,2336,2337,2373,2377,2389,2435,2480,2493,2512,2525,2551,2589,2635,2638,2642,2649,2660,2661,2674,2678,2693,2696,2697,2698,2699,2700,2701,2718,2732,2735,2774,2776,2777,2798,2815,2821,2875,2876,2880,2886,2918,2923,2927,2935,2937,2976,3050,3092,3116,3143,3180,3270,3276,3325,3366,3419,3453,3460,3544,3566,3637,3638,3643,3644,3647,3648,3649,3727,3765,3767,3771,3772,3906,4000,4027,4029,4064,4065],[101,118,119,120,129,139,181,185,267,269,271,275,325,332,336,347,400,401,411,452,459,482,508,515,516,605,620,628,630,631,650,651,665,677,681,691,701,710,716,717,808,837,857,924,929,978,1025,1027,1029,1033,1039,1044,1063,1080,1097,1099,1109,1129,1180,1188,1206,1273,1319,1326,1327,1333,1350,1356,1358,1359,1455,1537,1541,1544,1548,1566,1573,1580,1583,1586,1590,1629,1673,1764,1766,1767,1768,1770,1779,1835,1847,1905,1922,1949,1956,1957,1962,1964,1981,2036,2074,2087,2100,2101,2106,2136,2140,2141,2145,2154,2155,2187,2190,2197,2228,2230,2246,2254,2264,2310,2366,2428,2446,2449,2496,2513,2516,2522,2581,2582,2632,2637,2650,2651,2676,2692,2694,2733,2771,2772,2778,2814,2877,2879,2881,2883,2884,2887,2888,2891,2892,2893,2894,2895,2924,2929,2930,2945,3093,3157,3182,3183,3184,3326,3334,3382,3410,3413,3420,3497,3559,3586,3594,3595,3596,3606,3645,3766,3768,3806,3893,3933,4005,4071,4077],[7,102,116,117,138,149,272,288,331,402,404,451,588,594,606,622,623,666,667,668,670,689,697,698,699,787,828,834,835,838,847,866,874,899,908,935,981,1028,1101,1112,1120,1130,1131,1177,1179,1213,1228,1274,1320,1345,1353,1360,1363,1365,1366,1367,1369,1370,1371,1372,1373,1415,1424,1425,1427,1496,1499,1546,1574,1587,1589,1630,1722,1736,1769,1788,1789,1825,1827,1843,1851,1891,1907,1908,1909,1917,1924,1954,1972,2070,2072,2118,2134,2185,2189,2229,2266,2327,2330,2429,2441,2442,2478,2482,2484,2485,2503,2584,2585,2657,2658,2663,2667,2677,2695,2722,2725,2727,2729,2773,2816,2818,2820,2862,2863,2870,2882,2885,2889,2890,3129,3169,3181,3199,3258,3272,3285,3302,3373,3407,3408,3411,3498,3499,3500,3506,3558,3656,3769,3770,3850,3895,4001,4004,4024,4068],[132,167,186,286,287,289,316,318,320,391,453,458,460,461,493,558,561,597,607,653,671,674,675,693,696,702,779,831,840,892,900,903,907,916,923,925,926,930,932,938,939,965,970,971,1030,1103,1149,1207,1227,1272,1364,1374,1375,1388,1391,1398,1399,1423,1426,1428,1429,1430,1451,1479,1489,1497,1501,1525,1526,1540,1542,1570,1581,1588,1592,1626,1633,1643,1674,1723,1724,1741,1758,1837,1842,1879,1906,1963,1974,1988,2037,2071,2135,2137,2156,2219,2233,2236,2247,2248,2255,2328,2459,2488,2490,2492,2499,2506,2523,2583,2652,2655,2656,2659,2723,2736,2737,2864,2865,2866,2868,3025,3051,3173,3177,3214,3367,3406,3421,3435,3501,3515,3543,3601,3730,3828,3841,3852,3853,3907,3934,3937,3938,3973,4028,4032,4033],[142,150,290,315,317,321,333,348,349,354,384,387,393,454,557,589,596,673,683,688,718,800,807,822,832,836,855,915,918,922,927,957,1015,1017,1216,1219,1321,1346,1368,1431,1490,1493,1500,1527,1613,1627,1634,1635,1642,1647,1679,1737,1751,1752,1790,1852,1965,1966,2051,2052,2053,2102,2192,2201,2235,2237,2253,2368,2384,2430,2443,2497,2498,2500,2501,2504,2505,2507,2508,2509,2515,2577,2579,2593,2653,2654,2803,2806,2807,2867,2944,3130,3168,3170,3175,3259,3271,3409,3412,3414,3557,3639,3657,3729,3901,3920,4067],[71,137,151,152,168,171,323,334,386,390,423,455,456,501,590,595,599,676,678,765,886,887,909,910,912,919,958,961,972,1009,1159,1160,1221,1286,1352,1355,1357,1445,1491,1494,1498,1502,1576,1591,1640,1657,1660,1675,1725,1738,1744,1889,1923,1967,1976,2054,2055,2056,2060,2231,2234,2354,2359,2367,2371,2455,2486,2502,2514,2517,2578,2804,3174,3215,3218,3221,3296,3602,3628,3892,4026,4062],[140,141,306,319,385,560,602,610,685,733,789,790,791,794,795,797,928,973,1010,1200,1217,1233,1236,1285,1347,1349,1492,1495,1503,1509,1510,1511,1577,1593,1620,1628,1648,1661,1739,1742,1838,1853,1881,1882,1925,1950,1953,1955,1968,1969,1973,1975,1977,1978,1979,2138,2188,2232,2267,2479,2481,2483,2487,2489,2491,2494,2495,2726,2799,2801,2813,2817,2819,2921,3087,3590,3640,3798,3865,3866,3868,4063],[133,424,429,457,517,559,591,611,690,788,792,796,799,801,888,920,931,974,1047,1161,1191,1208,1218,1234,1609,1631,1646,1649,1650,1652,1665,1743,1745,1823,1951,1980,2207,2355,2356,2357,2358,2360,2361,2370,2552,2590,2800,2802,2938,3022,3223,3297,3473,3589,3869],[134,608,612,687,692,706,711,798,809,962,963,1064,1209,1229,1232,1235,1578,1621,1622,1641,1645,1653,1659,1662,1680,1839,1929,1931,1952,1958,1970,2203,2282,2362,2363,2369,2385,2936,2978,3172,3327,3368,3607,3642,3799],[135,419,592,614,695,709,859,860,911,940,954,1162,1165,1176,1178,1181,1193,1287,1293,1452,1602,1624,1637,1638,1644,1651,1656,1658,1676,1683,1927,2202,2535,2622,2979,3037,3396,3461,3603,3641,3894,3932],[136,226,418,483,593,823,933,946,956,1166,1210,1211,1288,1607,1616,1623,1636,1685,1791,1877,1890,1892,1893,1895,2204,2580,3023],[420,793,846,854,942,1212,1438,1599,1601,1603,1604,1612,1614,1740,1878,1896,1897,1898,1971],[609,680,700,705,867,934,945,952,959,960,1595,1600,1615,1618,1794,1899,2374,2376,3171],[937,941,944,949,953,1883,1885,1886,1894,2372],[850,851,950,951],[862,947,948,964,1655],[686,955],[694]]