[[0,1,2,3,8,10,11,12,14,15,16,17,25,29,32,48,49,50,63,64,132,354,370,382,383,391,392,393,530,531,532,538,539,541,545,558,578,591,662,672,673,676,677,694,740,778,806,807,808,818,819,820,896,910,911,922,928,974,975,986,1004,1014,1052,1053,1063,1064,1086,1087,1094,1095,1138,1139,1140,1147,1150,1508,1585,1586,1598,1601,1628,1629,1637,1640,1680,1681,1708,1709,1716,1717,1722,1723,1724,1725,1732,1752,1753,1754,1760,1761,1762,1766,1767,1922,2034,2035,2036,2037,2038,2043,2046,2047,2049,2134,2148,2296,2297,2412,2423,2508,2509,2524,2525,2526,2532,2534,2535,2536,2537,2538,2546,2884,2960,2961,2962,2963,2968,2969,2973,2974,3064,3073,3074,3077,3078,3092,3093,3094,3105,3106,3194,3220,3256,3257,3269,3284,3298,3310,3345,3346,3354,3355,3357,3414,3415,3416,3425,3449,3452,3456,3466,3468,3473,3474,3480,3482,3483,3486,3488,3489,3495,3500,3558,3700,3711,3713,3714,3721,3726,3728,3729,3736,3737,3744,3758,3759,3760,3761,3765,3770,3771,3798,3799,3800,3801,3806,3809,3811,3812,3813,3821,3828,3829,3835,3839,3871,3878,3900,3956,3957,3962,3968,3969,3976,3981,4068,4078,4081],{"0":5,"1":13,"2":18,"3":59,"4":65,"5":72,"6":73,"7":76,"8":85,"9":144,"10":196,"11":212,"12":367,"13":384,"14":394,"16":533,"17":534,"18":540,"19":546,"20":547,"21":592,"22":664,"23":675,"24":695,"25":762,"26":763,"27":792,"28":809,"29":810,"30":815,"31":821,"32":923,"33":933,"34":976,"35":977,"36":990,"37":1000,"38":1016,"39":1054,"40":1061,"41":1062,"42":1067,"43":1088,"44":1089,"45":1090,"46":1091,"47":1096,"48":1099,"49":1101,"50":1102,"51":1244,"52":1245,"53":1251,"54":1253,"55":1255,"56":1316,"57":1317,"58":1324,"59":1330,"60":1347,"61":1392,"62":1462,"63":1516,"64":1517,"65":1519,"66":1568,"67":1584,"68":1587,"69":1688,"70":1710,"71":1711,"72":1712,"73":1719,"74":1720,"75":1755,"76":1757,"77":1763,"78":1764,"79":1896,"80":1940,"81":2044,"82":2045,"83":2072,"84":2099,"85":2101,"86":2102,"87":2136,"88":2146,"89":2225,"90":2226,"91":2275,"92":2295,"93":2307,"94":2308,"95":2310,"96":2413,"97":2420,"98":2421,"99":2510,"100":2518,"101":2519,"102":2520,"103":2522,"104":2533,"105":2548,"106":2620,"107":2658,"108":2856,"109":2894,"110":2964,"111":2986,"112":2987,"113":3039,"114":3062,"115":3063,"116":3065,"117":3066,"118":3067,"119":3070,"120":3072,"121":3076,"122":3210,"123":3211,"124":3264,"125":3270,"126":3272,"127":3273,"128":3279,"129":3283,"130":3299,"131":3307,"132":3311,"133":3312,"134":3314,"135":3315,"136":3327,"137":3330,"138":3344,"139":3348,"140":3352,"141":3353,"142":3358,"143":3417,"144":3423,"145":3428,"146":3442,"147":3457,"148":3472,"149":3475,"150":3476,"151":3481,"152":3484,"153":3485,"154":3487,"155":3496,"156":3497,"157":3546,"158":3552,"159":3559,"160":3710,"161":3715,"162":3723,"163":3731,"164":3739,"165":3766,"166":3767,"167":3768,"168":3769,"169":3784,"170":3802,"171":3808,"172":3810,"173":3814,"174":3840,"175":3854,"176":3870,"177":3877,"178":3879,"179":3880,"180":3882,"181":3913,"182":3915,"183":3942,"184":3943,"185":3951,"186":3953,"187":3978,"188":4024,"189":4070,"190":4075,"191":4077,"192":4080,"193":4095},{"0":4,"1":6,"2":7,"3":9,"4":28,"5":30,"6":42,"7":47,"8":57,"9":58,"10":60,"11":61,"12":62,"13":92,"14":110,"15":182,"16":210,"17":222,"18":316,"19":460,"20":542,"21":543,"22":544,"23":557,"24":571,"25":579,"26":602,"27":603,"28":605,"29":663,"30":665,"31":666,"32":671,"33":709,"34":775,"35":779,"36":822,"37":842,"38":907,"39":924,"40":931,"41":991,"42":1003,"43":1006,"44":1013,"45":1065,"46":1092,"47":1093,"48":1098,"49":1100,"50":1117,"51":1153,"52":1154,"53":1246,"54":1318,"55":1319,"56":1327,"57":1332,"58":1333,"59":1494,"60":1505,"61":1507,"62":1510,"63":1521,"64":1639,"65":1643,"66":1682,"67":1713,"68":1726,"69":1734,"70":1765,"71":1923,"72":1924,"73":1942,"74":1948,"76":2042,"77":2050,"78":2093,"79":2094,"80":2095,"81":2103,"82":2105,"83":2135,"84":2147,"85":2214,"86":2231,"87":2232,"88":2249,"89":2252,"90":2299,"91":2306,"92":2370,"93":2415,"94":2422,"95":2425,"96":2441,"97":2450,"98":2483,"99":2511,"100":2513,"101":2517,"102":2530,"103":2545,"104":2550,"105":2603,"106":2639,"107":2667,"108":2674,"109":2731,"110":2858,"111":2998,"112":3038,"113":3079,"114":3086,"115":3095,"116":3100,"117":3101,"118":3102,"119":3103,"120":3104,"121":3259,"122":3260,"123":3265,"124":3291,"125":3292,"126":3300,"127":3306,"128":3308,"129":3309,"130":3323,"131":3325,"132":3328,"133":3329,"134":3347,"135":3424,"136":3427,"137":3458,"138":3469,"139":3477,"140":3478,"141":3499,"142":3547,"143":3574,"144":3628,"145":3656,"146":3668,"147":3701,"148":3702,"149":3703,"150":3707,"151":3712,"152":3730,"153":3732,"154":3743,"155":3746,"156":3752,"157":3762,"158":3815,"159":3823,"160":3830,"161":3866,"162":3869,"163":3872,"164":3901,"165":3902,"166":3909,"167":3910,"168":3944,"169":3945,"170":3947,"171":3949,"172":3950,"173":3954,"174":3955,"175":3970,"176":4069,"177":4076,"178":4079,"179":4082,"180":4089},[33,51,74,77,78,79,88,89,133,141,207,264,286,327,331,380,385,389,390,395,396,535,553,572,588,589,594,670,696,754,757,764,771,789,793,816,823,824,843,905,925,944,945,997,1005,1017,1018,1055,1104,1146,1148,1149,1320,1328,1331,1404,1463,1478,1503,1504,1506,1511,1630,1631,1638,1694,1721,1733,1739,1756,1925,1932,1943,1952,2061,2085,2092,2145,2149,2215,2216,2217,2222,2224,2227,2230,2243,2264,2298,2414,2426,2482,2590,2604,2605,2660,2668,2728,2857,2870,2988,2990,3075,3090,3107,3108,3109,3110,3121,3122,3124,3150,3212,3258,3261,3268,3285,3294,3302,3356,3398,3413,3418,3436,3443,3490,3560,3584,3586,3644,3658,3716,3717,3727,3733,3738,3745,3763,3816,3817,3838,3855,3856,3917,3946,3964,3965,3975,3977,3982,3990,3996,3997,4005,4006,4025,4037],{"0":19,"1":27,"2":35,"3":44,"4":46,"5":52,"6":53,"7":54,"8":56,"9":66,"10":67,"11":70,"12":71,"13":75,"14":93,"15":189,"16":197,"17":204,"18":298,"19":376,"20":377,"21":386,"24":536,"25":548,"26":555,"27":559,"28":587,"29":595,"30":596,"31":606,"32":608,"33":610,"34":611,"35":621,"36":628,"37":637,"38":641,"39":667,"40":712,"41":741,"42":765,"43":777,"44":787,"45":791,"46":811,"47":904,"48":984,"49":989,"50":1001,"51":1011,"52":1056,"53":1097,"54":1103,"55":1152,"56":1326,"57":1348,"58":1393,"59":1476,"60":1546,"61":1552,"62":1553,"63":1554,"64":1683,"65":1689,"66":1782,"67":1904,"68":1933,"69":1936,"71":2039,"72":2051,"73":2090,"74":2137,"75":2144,"76":2198,"77":2218,"78":2233,"79":2241,"80":2247,"81":2248,"82":2287,"83":2304,"84":2332,"85":2333,"86":2334,"87":2344,"88":2348,"89":2349,"90":2350,"91":2428,"92":2451,"93":2485,"94":2493,"95":2496,"96":2512,"97":2514,"98":2523,"99":2527,"100":2531,"101":2544,"102":2547,"103":2591,"104":2592,"105":2593,"106":2600,"107":2601,"108":2621,"109":2636,"110":2637,"111":2659,"112":2726,"113":2757,"114":2808,"115":2885,"116":2916,"117":2970,"118":2972,"119":2989,"120":2994,"121":2997,"122":2999,"123":3052,"124":3068,"125":3085,"126":3091,"127":3096,"128":3097,"129":3098,"130":3119,"131":3123,"132":3136,"133":3157,"134":3160,"135":3236,"136":3262,"137":3280,"138":3286,"139":3295,"140":3313,"141":3316,"142":3322,"143":3324,"144":3326,"145":3407,"146":3409,"147":3421,"148":3429,"149":3437,"150":3440,"151":3459,"152":3460,"153":3498,"154":3561,"155":3566,"156":3568,"157":3569,"158":3572,"159":3600,"160":3654,"161":3672,"162":3724,"163":3794,"164":3831,"165":3837,"166":3857,"167":3903,"168":3904,"169":3916,"170":3930,"171":3952,"172":3958,"173":3966,"174":3992,"175":4041,"176":4046,"177":4048,"178":4071,"179":4090},{"0":26,"1":55,"2":84,"3":103,"4":109,"5":145,"6":153,"7":183,"8":184,"9":190,"10":191,"11":224,"12":246,"13":261,"14":355,"15":379,"16":397,"17":470,"25":549,"26":554,"27":570,"28":581,"29":582,"30":593,"31":609,"32":674,"33":697,"34":714,"35":715,"36":726,"37":742,"38":743,"39":744,"40":766,"41":780,"42":781,"43":785,"44":790,"45":814,"46":817,"47":858,"48":864,"49":866,"50":912,"51":926,"52":956,"53":978,"54":979,"55":992,"56":999,"57":1007,"58":1019,"59":1020,"60":1027,"61":1028,"62":1029,"63":1033,"64":1035,"65":1068,"66":1105,"67":1106,"68":1113,"69":1114,"70":1115,"71":1116,"72":1119,"73":1120,"74":1121,"75":1142,"76":1188,"77":1201,"78":1205,"79":1256,"80":1325,"81":1329,"82":1341,"83":1342,"84":1344,"85":1345,"86":1430,"87":1477,"88":1495,"89":1547,"90":1580,"91":1632,"92":1662,"93":1684,"94":1737,"95":1758,"96":1792,"97":1911,"98":1912,"99":1934,"100":1969,"101":1982,"103":2048,"104":2063,"105":2065,"106":2066,"107":2138,"108":2228,"109":2229,"110":2291,"111":2300,"112":2347,"113":2351,"114":2353,"115":2354,"116":2368,"117":2424,"118":2462,"119":2464,"120":2490,"121":2492,"122":2494,"123":2497,"124":2549,"125":2551,"126":2594,"127":2602,"128":2630,"129":2635,"130":2688,"131":2839,"132":2859,"133":2860,"134":2864,"135":2886,"136":2971,"137":2975,"138":3018,"139":3040,"140":3042,"141":3048,"142":3049,"143":3051,"144":3146,"145":3151,"146":3158,"147":3267,"148":3274,"149":3278,"150":3281,"151":3287,"152":3288,"153":3317,"154":3319,"155":3331,"156":3438,"157":3439,"158":3467,"159":3491,"160":3502,"161":3542,"162":3544,"163":3554,"164":3556,"165":3571,"166":3601,"167":3609,"168":3616,"169":3645,"170":3659,"171":3684,"172":3696,"173":3718,"174":3756,"175":3772,"176":3773,"177":3803,"178":3807,"179":3862,"180":3873,"181":3905,"182":3931,"183":3935,"184":3948,"185":3959,"186":3979,"187":3985,"188":3994,"189":3995,"190":4026,"191":4047,"192":4073,"193":4083,"194":4084,"195":4092,"196":4094},{"0":20,"1":43,"2":86,"3":90,"4":112,"5":154,"6":155,"7":157,"8":159,"9":193,"10":194,"11":198,"12":213,"13":227,"14":229,"15":381,"16":407,"17":414,"18":461,"19":472,"20":479,"22":552,"23":556,"24":560,"25":583,"26":597,"27":598,"28":607,"29":668,"30":713,"31":721,"32":767,"33":776,"34":782,"35":788,"36":799,"37":841,"38":899,"39":946,"40":947,"41":958,"42":959,"43":1021,"44":1022,"45":1031,"46":1057,"47":1060,"48":1122,"49":1137,"50":1141,"51":1155,"52":1189,"53":1228,"54":1240,"55":1242,"56":1464,"57":1496,"58":1512,"59":1513,"60":1578,"61":1636,"62":1642,"63":1714,"64":1728,"65":1735,"66":1783,"67":1785,"68":1789,"69":1958,"70":1962,"71":1966,"72":1981,"74":2064,"75":2073,"76":2100,"77":2106,"78":2162,"79":2173,"80":2223,"81":2256,"82":2283,"83":2336,"84":2356,"85":2380,"86":2398,"87":2399,"88":2408,"89":2417,"90":2427,"91":2443,"92":2458,"93":2484,"94":2486,"95":2487,"96":2495,"97":2539,"98":2540,"99":2595,"100":2633,"101":2640,"102":2661,"103":2669,"104":2671,"105":2686,"106":2693,"107":2695,"108":2721,"109":2738,"110":2838,"111":2848,"112":2850,"113":2865,"114":2872,"115":2889,"116":2917,"117":2927,"118":2932,"119":2942,"120":2991,"121":2992,"122":2995,"123":3043,"124":3047,"125":3053,"126":3071,"127":3080,"128":3081,"129":3087,"130":3117,"131":3118,"132":3145,"133":3149,"134":3217,"135":3219,"136":3237,"137":3266,"138":3271,"139":3282,"140":3301,"141":3318,"142":3333,"143":3337,"144":3338,"145":3340,"146":3342,"147":3349,"148":3401,"149":3426,"150":3430,"151":3465,"152":3501,"153":3503,"154":3530,"155":3539,"156":3540,"157":3548,"158":3563,"159":3567,"160":3575,"161":3576,"162":3587,"163":3588,"164":3612,"165":3673,"166":3685,"167":3704,"168":3708,"169":3747,"170":3755,"171":3757,"172":3792,"173":3797,"174":3822,"175":3825,"176":3833,"177":3858,"178":3863,"179":3881,"180":3885,"181":3894,"182":3918,"183":3928,"184":3929,"185":3937,"186":3938,"187":3940,"188":3971,"189":3998,"190":4008,"191":4032,"192":4038,"193":4072,"194":4074,"195":4085},[94,127,130,156,160,192,195,214,230,232,265,266,275,277,278,280,287,317,318,410,418,577,612,620,629,630,644,707,708,770,783,826,844,897,900,909,930,932,983,985,988,1015,1058,1133,1151,1156,1162,1239,1250,1252,1278,1296,1334,1340,1349,1355,1465,1466,1479,1509,1518,1524,1539,1548,1556,1557,1558,1644,1645,1685,1695,1784,1793,1794,1897,1935,1937,1938,1972,1977,1983,1987,1993,2052,2053,2082,2096,2104,2107,2113,2115,2234,2242,2244,2245,2309,2312,2343,2345,2346,2366,2371,2400,2401,2405,2406,2410,2416,2429,2431,2442,2448,2452,2453,2460,2528,2568,2641,2672,2673,2676,2680,2685,2741,2754,2809,2949,2996,3001,3041,3088,3116,3120,3163,3180,3181,3195,3209,3216,3250,3254,3289,3293,3297,3303,3332,3334,3339,3341,3373,3399,3400,3408,3444,3451,3454,3461,3471,3492,3531,3532,3533,3534,3543,3545,3553,3562,3629,3631,3651,3667,3681,3709,3751,3753,3754,3774,3775,3785,3791,3795,3836,3841,3868,3883,3884,3887,3895,3897,3911,3925,3932,3936,3941,3972,3983,3984,3986,3993,4003,4011,4020,4040,4060,4064,4067,4093],{"0":24,"1":31,"2":34,"3":87,"4":91,"5":96,"6":97,"7":98,"8":111,"9":113,"10":115,"11":124,"12":138,"13":140,"14":142,"15":146,"16":226,"17":248,"18":255,"19":257,"20":259,"21":260,"22":269,"23":288,"24":294,"25":295,"26":300,"27":325,"28":326,"29":368,"30":398,"31":462,"32":463,"33":473,"34":474,"35":537,"36":580,"37":599,"38":625,"39":643,"40":710,"41":716,"42":751,"43":752,"44":753,"45":755,"46":758,"47":759,"48":760,"49":772,"50":827,"51":859,"52":860,"53":861,"54":867,"55":880,"56":901,"57":908,"58":929,"59":980,"60":1002,"61":1023,"62":1024,"63":1032,"64":1036,"65":1069,"66":1143,"67":1164,"68":1166,"69":1206,"70":1208,"71":1210,"72":1237,"73":1243,"74":1259,"75":1279,"76":1291,"77":1321,"78":1322,"79":1394,"80":1431,"81":1432,"82":1475,"83":1502,"84":1555,"85":1563,"86":1564,"87":1565,"88":1566,"89":1567,"90":1569,"91":1604,"92":1633,"93":1653,"94":1659,"95":1661,"96":1718,"97":1727,"98":1786,"99":1926,"101":2040,"102":2068,"103":2074,"104":2139,"105":2140,"106":2172,"107":2213,"108":2251,"109":2257,"110":2258,"111":2277,"112":2284,"113":2288,"114":2301,"115":2305,"116":2314,"117":2335,"118":2364,"119":2365,"120":2379,"121":2407,"122":2411,"123":2430,"124":2439,"125":2459,"126":2473,"127":2474,"128":2480,"129":2488,"130":2491,"131":2542,"132":2606,"133":2615,"134":2642,"135":2675,"136":2677,"137":2756,"138":2810,"139":2840,"140":2847,"141":2849,"142":2852,"143":2866,"144":2868,"145":2869,"146":2888,"147":2936,"148":3002,"149":3003,"150":3015,"151":3017,"152":3046,"153":3050,"154":3132,"155":3133,"156":3137,"157":3143,"158":3152,"159":3159,"160":3213,"161":3221,"162":3247,"163":3296,"164":3304,"165":3343,"166":3372,"167":3374,"168":3380,"169":3381,"170":3383,"171":3402,"172":3419,"173":3441,"174":3450,"175":3455,"176":3462,"177":3464,"178":3470,"179":3505,"180":3509,"181":3512,"182":3513,"183":3538,"184":3541,"185":3595,"186":3617,"187":3641,"188":3643,"189":3657,"190":3674,"191":3678,"192":3692,"193":3699,"194":3725,"195":3780,"196":3782,"197":3783,"198":3786,"199":3819,"200":3832,"201":3859,"202":3864,"203":3865,"204":3896,"205":3898,"206":3899,"207":3914,"208":3939,"209":3999,"210":4035,"211":4042,"212":4043,"213":4049,"214":4051,"215":4054,"216":4086,"217":4091},[95,102,104,105,106,108,134,135,147,174,177,181,206,208,209,211,223,247,263,267,268,276,279,281,285,324,328,329,332,356,358,364,366,569,590,604,613,627,633,640,646,669,678,691,698,756,768,786,812,835,836,862,869,881,927,934,954,960,1066,1112,1118,1123,1124,1130,1135,1144,1165,1167,1224,1231,1233,1257,1288,1293,1295,1362,1402,1408,1472,1473,1490,1492,1501,1514,1570,1579,1612,1646,1647,1738,1740,1741,1742,1747,1748,1750,1827,1862,1863,1864,1872,1875,1882,1906,1941,1960,1963,1978,2018,2019,2020,2028,2031,2070,2098,2128,2129,2131,2163,2210,2219,2250,2281,2302,2330,2339,2352,2357,2363,2383,2409,2432,2445,2463,2466,2467,2475,2476,2481,2489,2498,2541,2552,2588,2607,2678,2679,2687,2690,2691,2694,2742,2811,2817,2824,2842,2851,2853,2855,2918,2920,2921,2922,2925,2934,3000,3011,3030,3082,3089,3111,3112,3113,3125,3126,3154,3164,3165,3178,3187,3191,3197,3204,3238,3239,3360,3376,3378,3379,3403,3431,3555,3570,3589,3603,3614,3618,3622,3630,3632,3636,3638,3642,3646,3655,3660,3670,3682,3686,3705,3722,3741,3748,3764,3781,3804,3818,3867,3874,3875,3886,3926,3933,3934,3980,4017,4021,4022,4027],{"0":22,"1":80,"2":81,"3":143,"4":179,"5":186,"6":199,"7":200,"8":215,"9":319,"10":320,"11":357,"12":371,"13":417,"14":419,"15":420,"16":425,"17":426,"18":428,"19":429,"20":430,"21":431,"22":446,"23":447,"24":448,"25":457,"26":476,"28":550,"29":576,"30":614,"31":622,"32":626,"33":631,"34":632,"35":634,"36":648,"37":654,"38":658,"39":661,"40":688,"41":690,"42":692,"43":699,"44":761,"45":825,"46":828,"47":829,"48":851,"49":855,"50":857,"51":865,"52":868,"53":882,"54":888,"55":889,"56":890,"57":893,"58":895,"59":949,"60":955,"61":957,"62":962,"63":963,"64":998,"65":1030,"66":1047,"67":1080,"68":1163,"69":1190,"70":1202,"71":1203,"72":1211,"73":1212,"74":1213,"75":1219,"76":1223,"77":1232,"78":1238,"79":1247,"80":1254,"81":1335,"82":1346,"83":1375,"84":1376,"85":1377,"86":1378,"87":1384,"88":1385,"89":1386,"90":1387,"91":1390,"92":1391,"93":1406,"94":1407,"95":1409,"96":1411,"97":1419,"98":1422,"99":1426,"100":1427,"101":1428,"102":1433,"103":1439,"104":1441,"105":1442,"106":1443,"107":1470,"108":1471,"109":1486,"110":1491,"111":1515,"112":1520,"113":1522,"114":1538,"115":1549,"116":1571,"117":1576,"118":1581,"119":1583,"120":1614,"121":1641,"122":1648,"123":1654,"124":1655,"125":1656,"126":1692,"127":1729,"128":1736,"129":1795,"130":1841,"131":1854,"132":1865,"133":1871,"134":1874,"135":1877,"136":1879,"137":1880,"138":1890,"139":1894,"140":1898,"141":1920,"142":1921,"143":1992,"144":2054,"145":2055,"146":2058,"147":2067,"148":2069,"149":2120,"150":2272,"151":2313,"152":2316,"153":2337,"154":2338,"155":2355,"156":2358,"157":2367,"158":2372,"159":2402,"160":2418,"161":2433,"162":2446,"163":2477,"164":2478,"165":2499,"166":2567,"167":2610,"168":2666,"169":2670,"170":2700,"171":2740,"172":2750,"173":2823,"174":2841,"175":2843,"176":2862,"177":2871,"178":2891,"179":2919,"180":2928,"181":2933,"182":2935,"183":2965,"184":3005,"185":3069,"186":3139,"187":3153,"188":3155,"189":3162,"190":3196,"191":3198,"192":3214,"193":3248,"194":3275,"195":3359,"196":3361,"197":3367,"198":3368,"199":3370,"200":3382,"201":3384,"202":3385,"203":3394,"204":3396,"205":3397,"206":3422,"207":3432,"208":3493,"209":3494,"210":3515,"211":3516,"212":3524,"213":3525,"214":3581,"215":3583,"216":3650,"217":3664,"218":3665,"219":3671,"220":3675,"221":3706,"222":3777,"223":3778,"224":3787,"225":3908,"226":3912,"227":3922,"228":4019,"229":4028,"230":4029,"231":4053,"232":4087},{"0":21,"1":114,"2":116,"3":125,"4":128,"5":129,"6":131,"7":162,"8":163,"9":178,"10":185,"11":216,"12":217,"13":225,"14":242,"15":313,"16":321,"17":342,"19":362,"20":363,"21":399,"22":409,"23":421,"24":455,"25":458,"26":478,"27":510,"28":551,"29":575,"30":623,"31":638,"32":639,"33":642,"34":645,"35":679,"36":689,"37":693,"38":717,"39":773,"40":837,"41":838,"42":845,"43":846,"44":852,"45":892,"46":898,"47":906,"48":950,"49":961,"50":993,"51":995,"52":1008,"53":1034,"54":1050,"55":1051,"56":1070,"57":1157,"58":1161,"59":1168,"60":1169,"61":1171,"62":1184,"63":1191,"64":1192,"65":1193,"66":1200,"67":1207,"68":1221,"69":1222,"70":1229,"71":1234,"72":1235,"73":1241,"74":1258,"75":1272,"76":1273,"77":1289,"78":1292,"79":1294,"80":1311,"81":1343,"82":1357,"83":1374,"84":1379,"85":1381,"86":1383,"87":1389,"88":1400,"89":1401,"90":1474,"91":1497,"92":1523,"93":1528,"94":1529,"95":1573,"96":1582,"97":1690,"98":1693,"99":1696,"100":1796,"101":1816,"102":1858,"103":1873,"104":1876,"105":1881,"106":1885,"107":1900,"108":1907,"109":1927,"110":1980,"111":1988,"112":1995,"116":2062,"117":2071,"118":2084,"119":2164,"120":2220,"121":2262,"122":2294,"123":2322,"124":2324,"125":2327,"126":2340,"127":2369,"128":2387,"129":2447,"130":2449,"131":2516,"132":2569,"133":2583,"134":2608,"135":2617,"136":2618,"137":2664,"138":2682,"139":2703,"140":2706,"141":2714,"142":2739,"143":2751,"144":2753,"145":2758,"146":2783,"147":2816,"148":2825,"149":2835,"150":2861,"151":2867,"152":2878,"153":2879,"154":2882,"155":2896,"156":2897,"157":3004,"158":3006,"159":3007,"160":3008,"161":3009,"162":3010,"163":3012,"164":3013,"165":3014,"166":3016,"167":3044,"168":3083,"169":3130,"170":3138,"171":3144,"172":3147,"173":3148,"174":3161,"175":3167,"176":3168,"177":3190,"178":3192,"179":3193,"180":3215,"181":3240,"182":3246,"183":3253,"184":3276,"185":3363,"186":3369,"187":3371,"188":3375,"189":3386,"190":3387,"191":3392,"192":3393,"193":3395,"194":3433,"195":3504,"196":3514,"197":3518,"198":3523,"199":3529,"200":3536,"201":3549,"202":3557,"203":3573,"204":3599,"205":3602,"206":3613,"207":3653,"208":3661,"209":3720,"210":3734,"211":3742,"212":3796,"213":3827,"214":3876,"215":3892,"216":3927,"217":3973,"218":4000,"219":4010,"220":4036,"221":4039,"222":4050,"223":4052,"224":4062},{"0":99,"1":123,"2":126,"3":139,"4":161,"5":171,"6":175,"7":176,"8":180,"9":202,"10":205,"11":218,"12":219,"13":220,"14":233,"15":239,"16":244,"17":262,"18":270,"19":282,"20":283,"21":284,"22":289,"23":299,"24":387,"25":432,"26":454,"27":464,"28":465,"29":471,"30":489,"31":494,"32":498,"33":561,"34":562,"35":586,"36":619,"37":624,"38":650,"39":651,"40":680,"41":681,"42":682,"43":847,"44":848,"45":883,"46":884,"47":885,"48":891,"49":913,"50":948,"52":987,"53":994,"54":1012,"55":1025,"56":1049,"57":1059,"58":1079,"59":1107,"60":1108,"61":1109,"62":1110,"63":1111,"64":1170,"65":1172,"66":1179,"67":1214,"68":1227,"69":1230,"70":1236,"71":1280,"72":1281,"73":1282,"74":1290,"75":1306,"76":1388,"77":1395,"78":1405,"79":1410,"80":1412,"81":1413,"82":1421,"83":1425,"84":1429,"85":1468,"86":1481,"87":1482,"88":1498,"89":1525,"90":1526,"91":1527,"92":1543,"93":1545,"94":1550,"95":1572,"96":1634,"97":1660,"98":1663,"99":1665,"100":1677,"101":1679,"102":1715,"103":1769,"104":1770,"105":1775,"106":1777,"107":1778,"108":1779,"109":1780,"110":1781,"111":1787,"112":1790,"113":1791,"114":1878,"115":1892,"116":1901,"117":1910,"118":1949,"119":1951,"120":1959,"121":1973,"122":1974,"123":1975,"124":1985,"125":1986,"127":2027,"128":2056,"129":2057,"130":2059,"131":2097,"132":2116,"133":2118,"134":2150,"135":2176,"136":2177,"137":2179,"138":2180,"139":2221,"140":2253,"141":2293,"142":2315,"143":2323,"144":2325,"145":2359,"146":2362,"147":2373,"148":2437,"149":2455,"150":2468,"151":2479,"152":2521,"153":2571,"154":2579,"155":2581,"156":2587,"157":2613,"158":2614,"159":2619,"160":2622,"161":2656,"162":2657,"163":2662,"164":2663,"165":2681,"166":2715,"167":2725,"168":2752,"169":2779,"170":2820,"171":2822,"172":2826,"173":2833,"174":2834,"175":2836,"176":2837,"177":2863,"178":2874,"179":2887,"180":2895,"181":2910,"182":2929,"183":2931,"184":2937,"185":2938,"186":2940,"187":3084,"188":3131,"189":3134,"190":3166,"191":3179,"192":3189,"193":3199,"194":3320,"195":3362,"196":3366,"197":3388,"198":3406,"199":3410,"200":3411,"201":3412,"202":3435,"203":3453,"204":3517,"205":3528,"206":3582,"207":3585,"208":3623,"209":3633,"210":3639,"211":3652,"212":3689,"213":3740,"214":3749,"215":3776,"216":3779,"217":3788,"218":3789,"219":3824,"220":3826,"221":3888,"222":3889,"223":3919,"224":3924,"225":3960,"226":3987,"227":4001,"228":4023,"229":4045,"230":4058,"231":4061,"232":4066},{"0":37,"1":68,"2":82,"3":118,"4":122,"5":148,"6":152,"7":172,"8":228,"9":235,"10":249,"11":250,"12":271,"13":296,"14":297,"15":301,"16":302,"17":308,"18":309,"19":310,"20":312,"21":314,"22":315,"23":330,"24":333,"28":369,"29":401,"30":403,"31":415,"32":475,"33":511,"34":527,"35":568,"36":615,"37":647,"38":657,"39":659,"40":725,"41":813,"42":833,"43":834,"44":839,"45":853,"46":854,"47":856,"48":863,"49":886,"50":894,"51":902,"52":903,"53":914,"54":916,"55":918,"56":919,"57":951,"58":1037,"59":1038,"60":1072,"61":1082,"62":1158,"63":1173,"64":1181,"65":1183,"66":1204,"67":1209,"68":1220,"69":1225,"70":1226,"71":1269,"72":1276,"73":1277,"74":1283,"75":1287,"76":1371,"77":1420,"78":1423,"79":1424,"80":1437,"81":1467,"82":1469,"83":1483,"84":1487,"85":1537,"86":1542,"87":1544,"88":1561,"89":1611,"90":1613,"91":1635,"92":1668,"93":1672,"94":1678,"95":1691,"96":1703,"97":1707,"98":1746,"99":1749,"100":1751,"101":1768,"102":1772,"103":1776,"104":1797,"105":1808,"106":1809,"107":1813,"108":1817,"109":1820,"110":1846,"111":1888,"112":1891,"113":1893,"114":1895,"115":1899,"116":1902,"117":1908,"118":1913,"119":1917,"120":1918,"121":1919,"122":1955,"123":1956,"124":2041,"125":2083,"126":2114,"127":2119,"128":2121,"129":2122,"130":2123,"131":2127,"132":2133,"133":2142,"134":2151,"135":2161,"136":2175,"137":2235,"138":2236,"139":2237,"140":2280,"141":2317,"142":2318,"143":2328,"144":2374,"145":2436,"146":2444,"147":2469,"148":2503,"149":2505,"150":2507,"151":2529,"152":2582,"153":2585,"154":2609,"155":2616,"156":2625,"157":2652,"158":2701,"159":2704,"160":2707,"161":2745,"162":2749,"163":2755,"164":2759,"165":2768,"166":2812,"167":2831,"168":2832,"169":2854,"170":2875,"171":2892,"172":2898,"173":2930,"174":2966,"175":3114,"176":3127,"177":3135,"178":3172,"179":3173,"180":3174,"181":3176,"182":3177,"183":3182,"184":3188,"185":3200,"186":3202,"187":3203,"188":3206,"189":3208,"190":3251,"191":3255,"192":3277,"193":3290,"194":3350,"195":3391,"196":3420,"197":3463,"198":3511,"199":3519,"200":3527,"201":3564,"202":3580,"203":3624,"204":3626,"205":3634,"206":3635,"207":3647,"208":3662,"209":3688,"210":3694,"211":3719,"212":3860,"213":3890,"214":3893,"215":3906,"216":3920,"217":3923,"218":3963,"219":3967,"220":3989,"221":4002,"222":4012,"223":4044,"224":4055,"225":4063},{"0":36,"1":40,"2":69,"3":83,"4":107,"5":117,"6":119,"7":149,"8":158,"9":164,"10":165,"11":166,"12":187,"13":201,"14":237,"15":252,"16":258,"17":293,"18":311,"19":334,"20":335,"21":336,"22":337,"23":338,"24":339,"25":340,"26":341,"27":343,"30":373,"31":378,"32":412,"33":445,"34":449,"35":453,"36":456,"37":459,"38":509,"39":512,"40":513,"41":514,"42":515,"43":516,"44":523,"45":525,"46":529,"47":563,"48":616,"49":617,"50":704,"51":722,"52":728,"53":769,"54":794,"55":795,"56":830,"57":831,"58":840,"59":1009,"60":1044,"61":1045,"62":1081,"63":1083,"64":1132,"65":1136,"66":1186,"67":1194,"68":1271,"69":1336,"70":1338,"71":1361,"72":1382,"73":1396,"74":1398,"75":1434,"76":1438,"77":1440,"78":1480,"79":1484,"80":1559,"81":1560,"82":1574,"83":1605,"84":1606,"85":1649,"86":1650,"87":1657,"88":1658,"89":1669,"90":1686,"91":1730,"92":1771,"93":1814,"94":1819,"95":1856,"96":1860,"97":1953,"98":1964,"99":1967,"100":1976,"101":1989,"102":1996,"103":2060,"104":2075,"105":2086,"106":2089,"107":2091,"108":2124,"109":2130,"110":2143,"111":2165,"112":2166,"113":2246,"114":2259,"115":2265,"116":2266,"117":2290,"118":2326,"119":2331,"120":2384,"121":2419,"122":2434,"123":2435,"124":2457,"125":2461,"126":2465,"127":2506,"128":2553,"129":2564,"130":2570,"131":2572,"132":2586,"133":2655,"134":2683,"135":2684,"136":2689,"137":2743,"138":2764,"139":2769,"140":2790,"141":2813,"142":2873,"143":2876,"144":2880,"145":2881,"146":2883,"147":2893,"148":2923,"149":2939,"150":3021,"151":3028,"152":3032,"153":3035,"154":3140,"155":3141,"156":3170,"157":3175,"158":3335,"159":3364,"160":3445,"161":3446,"162":3448,"163":3510,"164":3522,"165":3535,"166":3577,"167":3578,"168":3611,"169":3637,"170":3640,"171":3669,"172":3683,"173":3793,"174":3842,"175":3921,"176":3991,"177":4004,"178":4009,"179":4013,"180":4015,"181":4018,"182":4030,"183":4031},{"0":167,"1":168,"2":173,"3":188,"4":245,"5":272,"6":303,"7":304,"8":305,"9":306,"10":307,"13":372,"14":374,"15":408,"16":411,"17":413,"18":416,"19":427,"20":435,"21":441,"22":466,"23":485,"24":499,"25":507,"26":508,"27":517,"28":522,"29":524,"30":526,"31":600,"32":635,"33":649,"34":652,"35":655,"36":656,"37":705,"38":723,"39":724,"40":727,"41":736,"42":737,"43":739,"44":745,"45":784,"46":849,"47":870,"48":917,"49":920,"50":921,"51":1026,"52":1077,"53":1125,"54":1134,"55":1145,"56":1178,"57":1180,"58":1195,"59":1197,"60":1199,"61":1215,"62":1248,"63":1284,"64":1285,"65":1297,"66":1298,"67":1299,"68":1300,"69":1308,"70":1309,"71":1312,"72":1323,"73":1337,"74":1350,"75":1354,"76":1380,"77":1397,"78":1444,"79":1457,"80":1488,"81":1489,"82":1493,"83":1530,"84":1535,"85":1536,"86":1540,"87":1562,"88":1577,"89":1616,"90":1664,"91":1673,"92":1675,"93":1706,"94":1773,"95":1798,"96":1799,"97":1806,"98":1810,"99":1811,"100":1815,"101":1818,"102":1828,"103":1831,"104":1832,"105":1835,"106":1847,"107":1853,"108":1857,"109":1866,"110":1883,"111":1886,"112":1887,"113":1905,"114":1909,"115":1914,"116":1915,"117":1916,"118":1979,"119":1990,"120":1997,"121":1998,"122":2001,"123":2002,"124":2003,"125":2006,"126":2007,"127":2008,"128":2011,"129":2012,"130":2015,"131":2088,"132":2108,"133":2109,"134":2117,"135":2157,"136":2158,"137":2167,"138":2182,"139":2183,"140":2184,"141":2193,"142":2267,"143":2276,"144":2311,"145":2341,"146":2385,"147":2386,"148":2403,"149":2404,"150":2440,"151":2454,"152":2470,"153":2543,"154":2561,"155":2573,"156":2580,"157":2589,"158":2599,"159":2692,"160":2705,"161":2709,"162":2765,"163":2766,"164":2770,"165":2797,"166":2819,"167":2830,"168":2899,"169":2915,"170":2924,"171":2926,"172":2944,"173":2951,"174":2954,"175":2955,"176":3019,"177":3023,"178":3031,"179":3033,"180":3034,"181":3036,"182":3037,"183":3045,"184":3156,"185":3171,"186":3207,"187":3218,"188":3224,"189":3229,"190":3233,"191":3234,"192":3235,"193":3242,"194":3243,"195":3336,"196":3365,"197":3389,"198":3508,"199":3526,"200":3579,"201":3605,"202":3619,"203":3687,"204":3693,"205":3697,"206":3735,"207":3790,"208":4007,"209":4033,"210":4065,"211":4088},{"0":38,"1":120,"2":150,"3":234,"4":240,"5":241,"6":251,"7":256,"8":290,"9":291,"10":292,"11":322,"12":375,"13":422,"14":423,"15":433,"16":434,"17":439,"18":442,"19":444,"20":451,"21":477,"22":504,"23":505,"24":518,"25":521,"26":528,"27":574,"28":660,"29":684,"30":706,"31":711,"32":718,"33":730,"34":731,"35":734,"36":876,"37":877,"38":887,"39":915,"40":941,"41":942,"46":981,"47":996,"48":1048,"49":1071,"50":1084,"51":1182,"52":1196,"53":1260,"54":1268,"55":1286,"56":1304,"57":1307,"58":1310,"59":1313,"60":1315,"61":1356,"62":1359,"63":1360,"64":1363,"65":1403,"66":1446,"67":1447,"68":1453,"69":1454,"70":1456,"71":1459,"72":1485,"73":1615,"74":1622,"75":1666,"76":1671,"77":1674,"78":1731,"79":1800,"80":1801,"81":1802,"82":1803,"83":1804,"84":1805,"85":1824,"86":1844,"87":1850,"88":1928,"89":1939,"90":1954,"91":1968,"92":1970,"93":1984,"94":2000,"95":2004,"96":2009,"97":2013,"98":2014,"99":2087,"100":2110,"101":2111,"102":2112,"103":2132,"104":2141,"105":2156,"106":2185,"107":2186,"108":2199,"109":2201,"110":2202,"111":2203,"112":2204,"113":2206,"114":2209,"115":2211,"116":2238,"117":2239,"118":2240,"119":2271,"120":2286,"121":2319,"122":2329,"123":2361,"124":2375,"125":2382,"126":2391,"127":2438,"128":2456,"129":2515,"130":2554,"131":2560,"132":2575,"133":2576,"134":2577,"135":2584,"136":2596,"137":2598,"138":2611,"139":2623,"140":2644,"141":2645,"142":2649,"143":2767,"144":2771,"145":2814,"146":2821,"147":2845,"148":2890,"149":2941,"150":2946,"151":2993,"152":3020,"153":3169,"154":3183,"155":3184,"156":3185,"157":3186,"158":3205,"159":3222,"160":3223,"161":3225,"162":3230,"163":3231,"164":3232,"165":3321,"166":3377,"167":3390,"168":3434,"169":3537,"170":3565,"171":3604,"172":3610,"173":3627,"174":3648,"175":3666,"176":3676,"177":3679,"178":3680,"179":3690,"180":3695,"181":3698,"182":3750,"183":3907,"184":3961,"185":4014,"186":4034},{"0":23,"1":100,"2":169,"3":170,"4":231,"5":236,"6":253,"7":273,"9":359,"10":360,"11":424,"12":436,"13":437,"14":438,"15":450,"16":452,"17":468,"18":486,"19":487,"20":500,"21":501,"22":502,"23":506,"24":519,"25":520,"26":564,"27":584,"28":601,"29":653,"30":683,"31":687,"32":719,"33":729,"34":735,"35":746,"36":747,"37":748,"38":871,"39":872,"40":873,"41":874,"42":875,"43":878,"44":879,"45":965,"46":968,"47":1039,"48":1085,"49":1174,"50":1175,"51":1185,"52":1216,"53":1249,"54":1261,"55":1262,"56":1274,"57":1301,"58":1302,"59":1303,"60":1305,"61":1314,"62":1339,"63":1370,"64":1414,"65":1445,"66":1460,"67":1499,"68":1531,"69":1551,"70":1651,"71":1652,"72":1676,"73":1697,"74":1698,"75":1699,"76":1759,"77":1807,"78":1812,"79":1821,"80":1826,"81":1829,"82":1830,"84":1837,"85":1889,"86":1950,"87":1957,"88":1961,"89":1965,"90":2005,"91":2010,"92":2022,"93":2076,"94":2077,"95":2078,"96":2152,"97":2154,"98":2160,"99":2174,"100":2178,"101":2181,"102":2187,"103":2190,"104":2196,"105":2197,"106":2200,"107":2207,"108":2208,"109":2212,"110":2254,"111":2260,"112":2261,"113":2263,"114":2270,"115":2289,"116":2320,"117":2360,"118":2376,"119":2381,"120":2471,"121":2472,"122":2500,"123":2501,"124":2504,"125":2555,"126":2565,"127":2566,"128":2574,"129":2612,"130":2624,"131":2626,"132":2627,"133":2629,"134":2632,"135":2634,"136":2643,"137":2665,"138":2696,"139":2708,"140":2710,"141":2718,"142":2744,"143":2746,"144":2760,"145":2772,"146":2773,"147":2780,"148":2784,"149":2785,"150":2793,"151":2801,"152":2827,"153":2844,"154":2877,"155":2900,"156":2901,"157":2943,"158":2945,"159":2948,"160":2950,"161":2952,"162":2953,"163":2956,"164":2957,"165":2958,"166":2959,"167":2983,"168":3054,"169":3226,"170":3227,"171":3228,"172":3241,"173":3244,"174":3263,"175":3479,"176":3590,"177":3596,"178":3597,"179":3598,"180":3608,"181":3615,"182":3625,"183":3663,"184":3691,"185":3805,"186":3820,"187":3843,"188":3844,"189":3845,"190":3849,"191":3850,"192":3851,"193":3852,"194":3853,"195":3861,"196":3891,"197":3974,"198":3988,"199":4016,"200":4056,"201":4057},{"0":41,"1":101,"2":151,"3":243,"4":323,"5":388,"6":402,"7":440,"8":443,"9":467,"10":469,"11":488,"12":573,"13":585,"14":618,"15":685,"16":686,"17":700,"18":720,"19":738,"20":749,"21":750,"22":774,"23":797,"24":850,"25":943,"26":953,"27":966,"29":982,"30":1040,"31":1041,"32":1046,"33":1131,"34":1177,"35":1187,"36":1198,"37":1351,"38":1352,"39":1358,"40":1415,"41":1418,"42":1448,"43":1458,"44":1532,"45":1541,"46":1588,"47":1590,"48":1591,"49":1593,"50":1596,"51":1597,"52":1607,"53":1609,"54":1617,"55":1618,"56":1624,"57":1626,"58":1627,"59":1667,"60":1702,"61":1704,"62":1788,"63":1825,"64":1833,"65":1834,"66":1838,"67":1848,"68":1849,"69":1852,"70":1884,"71":1944,"72":1945,"73":1946,"74":1999,"75":2023,"76":2153,"77":2155,"78":2159,"79":2168,"80":2191,"81":2192,"82":2195,"83":2205,"84":2269,"85":2282,"86":2321,"87":2377,"88":2389,"89":2502,"90":2556,"91":2557,"92":2578,"93":2638,"94":2702,"95":2747,"96":2748,"97":2781,"98":2782,"99":2789,"100":2802,"101":2803,"102":2815,"103":2818,"104":2829,"105":2907,"106":2909,"107":2912,"108":2913,"109":2914,"110":2947,"111":2977,"112":2978,"113":2979,"114":2980,"115":2982,"116":3024,"117":3025,"118":3026,"119":3099,"120":3115,"121":3129,"122":3201,"123":3245,"124":3249,"125":3252,"126":3305,"127":3351,"128":3404,"129":3405,"130":3506,"131":3520,"132":3521,"133":3550,"134":3551,"135":3591,"136":3592,"137":3607,"138":3621,"139":3834,"140":3846,"141":3847,"142":3848},{"0":121,"1":136,"2":203,"3":254,"4":274,"6":361,"7":365,"8":400,"9":404,"10":503,"11":565,"12":805,"13":935,"14":952,"15":1042,"16":1126,"17":1127,"18":1159,"19":1176,"20":1217,"21":1218,"22":1275,"23":1353,"24":1399,"25":1416,"26":1417,"27":1455,"28":1534,"29":1575,"30":1594,"31":1595,"32":1599,"33":1600,"34":1602,"35":1603,"36":1625,"37":1700,"38":1701,"39":1743,"40":1774,"41":1840,"42":1859,"43":1861,"44":1867,"45":1868,"46":1869,"47":1870,"48":1903,"49":1929,"50":1930,"51":1994,"52":2024,"53":2079,"54":2125,"55":2169,"56":2170,"57":2188,"58":2189,"59":2194,"60":2255,"61":2342,"62":2388,"63":2558,"64":2559,"65":2562,"66":2563,"67":2597,"68":2628,"69":2711,"70":2712,"71":2713,"72":2774,"73":2788,"74":2795,"75":2796,"76":2828,"77":2903,"78":2904,"79":2905,"80":2908,"81":2911,"82":2981,"83":2984,"84":2985,"85":3027,"86":3055,"87":3056,"88":3057,"89":3058,"90":3059,"91":3061,"92":3128,"93":3447,"94":3593,"95":3594,"96":3649,"97":3677,"98":4059},[137,221,238,406,732,733,800,801,804,936,937,940,972,1010,1075,1078,1128,1129,1160,1267,1270,1364,1369,1373,1449,1450,1452,1461,1589,1592,1623,1687,1705,1822,1823,1839,1931,1947,1971,2126,2273,2285,2303,2390,2392,2394,2631,2653,2697,2698,2717,2719,2727,2733,2735,2761,2762,2763,2775,2776,2777,2778,2786,2787,2791,2792,2804,2805,2806,2906,2976,3029,3060,3142,3620],[45,566,567,701,796,798,832,938,1043,1073,1074,1076,1263,1264,1265,1365,1367,1368,1435,1436,1451,1533,1608,1610,1670,1744,1745,1843,1845,1851,2081,2268,2378,2396,2646,2650,2651,2732,2734,2798,2800,2807,2846,2902,3507,3606],[405,636,702,703,939,1266,1366,1372,1500,1619,1620,1621,1855,1991,2080,2171,2274,2278,2279,2292,2393,2397,2648,2654,2722,2723,2724,2729,2730,2736,2799,2967],[2395,2647,2699,2716,2720,2737,2794,3022],[39,802,803,1842]]