[[0,1,2,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,61,63,64,65,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,87,88,89,91,92,93,94,95,96,97,98,99,101,103,104,105,106,107,108,109,110,111,112,113,114,116,117,118,119,120,121,122,125,132,135,137,138,139,141,142,143,146,147,148,149,150,151,152,153,156,157,159,160,161,162,163,164,165,166,169,170,171,173,175,177,178,179,180,181,182,183,185,187,188,190,192,194,195,196,198,199,200,202,207,210,212,218,224,232,233,234,235,236,237,240,241,242,243,244,245,246,247,248,249,250,251,252,253,257,258,260,261,262,263,264,265,266,273,274,276,278,279,280,281,282,283,284,285,287,288,291,293,294,295,296,298,299,300,302,303,304,307,308,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,326,327,328,329,330,331,332,333,334,335,336,337,338,340,341,351,356,357,361,365,368,369,370,371,372,373,374,375,376,377,378,379,380,381,383,384,386,387,389,390,391,392,393,394,395,396,397,398,399,400,401,402,407,409,410,411,412,414,415,416,424,425,428,429,430,431,432,433,436,437,438,439,440,441,442,443,444,445,446,451,454,455,457,459,464,466,467,468,470,471,472,474,475,477,481,482,483,485,486,488,489,490,491,492,498,512,513,514,515,516,517,520,521,522,524,525,526,546,547,548,549,552,557,559,560,563,564,565,566,567,572,573,579,584,588,589,590,591,592,593,594,601,606,607,608,610,614,615,616,617,618,619,622,623,624,626,627,633,634,635,659,660,666,668,669,670,671,672,673,675,676,677,678,679,680,681,682,684,686,687,688,689,694,696,697,703,704,706,709,710,714,715,716,717,720,721,722,723,726,727,728,729,730,731,732,735,736,737,738,739,740,741,742,768,769,770,771,773,774,775,776,780,781,783,784,787,789,790,791,793,794,795,796,798,799,801,803,804,805,806,807,808,809,810,811,812,814,815,816,817,818,819,820,821,822,823,824,825,826,829,830,831,832,834,837,838,839,840,844,847,848,850,851,852,853,855,857,858,859,860,861,862,863,864,865,866,867,868,869,870,872,873,874,875,876,879,894,895,896,899,905,907,908,909,912,913,914,915,916,917,920,921,922,925,926,927,930,931,937,938,939,940,942,945,946,947,949,950,951,952,953,956,960,963,970,971,972,977,983,984,985,991,992,993,995,998,1003,1033,1042,1043,1044,1046,1047,1048,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1061,1066,1068,1072,1073,1074,1075,1076,1079,1082,1084,1085,1086,1087,1091,1092,1094,1095,1096,1098,1099,1101,1102,1103,1104,1105,1108,1109,1110,1111,1113,1114,1115,1116,1118,1119,1122,1123,1124,1125,1128,1130,1131,1132,1133,1134,1135,1136,1137,1139,1140,1141,1143,1144,1145,1148,1149,1153,1156,1157,1159,1160,1163,1164,1166,1169,1170,1172,1173,1174,1179,1181,1198,1200,1201,1205,1207,1209,1210,1214,1215,1219,1221,1222,1224,1226,1228,1235,1236,1239,1240,1241,1244,1250,1251,1264,1266,1267,1268,1269,1270,1272,1273,1274,1277,1278,1279,1281,1282,1283,1284,1285,1291,1292,1294,1299,1300,1301,1302,1307,1308,1311,1316,1317,1321,1325,1326,1329,1332,1335,1392,1438,1441,1470,1495,1506,1507,1508,1509,1510,1513,1514,1515,1516,1517,1518,1519,1521,1522,1523,1524,1525,1528,1531,1532,1535,1537,1539,1540,1541,1542,1543,1546,1547,1548,1549,1551,1552,1553,1555,1556,1557,1559,1560,1561,1562,1563,1564,1566,1567,1568,1572,1573,1574,1575,1576,1585,1588,1591,1652,1654,1656,1657,1658,1659,1663,1664,1665,1667,1668,1669,1670,1671,1672,1673,1679,1684,1688,1697,1698,1701,1710,1711,1712,1716,1717,1718,1719,1726,1727,1731,1732,1733,1734,1735,1736,1738,1739,1748,1749,1750,1752,1753,1756,1758,1762,1763,1764,1765,1766,1769,1771,1772,1774,1776,1777,1781,1784,1785,1786,1788,1789,1791,1792,1793,1794,1796,1798,1799,1800,1801,1802,1803,1804,1806,1807,1808,1810,1812,1814,1815,1817,1818,1822,1824,1826,1827,1828,1835,1836,1838,1841,1858,1859,1860,1861,1862,1863,1864,1865,1868,1869,1870,1872,1873,1874,1877,1882,1883,1884,1886,1892,1900,1901,1903,1904,1907,1909,1910,1912,1914,1915,1916,1918,1919,1920,1924,1925,1926,1927,1928,1929,1930,1932,1933,1934,1935,1936,1937,1938,1939,1942,1944,1945,1946,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1963,1964,1966,1967,1968,1970,1971,1972,1973,1974,1975,1979,1980,1982,1983,1984,1985,1986,1987,1988,1989,1992,1994,1996,1997,1998,2000,2002,2003,2005,2020,2021,2023,2024,2028,2030,2032,2033,2034,2035,2037,2038,2039,2041,2043,2044,2045,2046,2068,2069,2070,2079,2080,2081,2082,2083,2084,2085,2086,2087,2091,2092,2093,2098,2100,2101,2102,2104,2105,2107,2117,2118,2119,2123,2134,2144,2145,2146,2147,2148,2149,2150,2151,2152,2155,2158,2159,2160,2161,2162,2163,2164,2166,2167,2168,2169,2170,2171,2175,2176,2177,2182,2183,2184,2185,2186,2187,2191,2192,2193,2197,2200,2204,2206,2207,2208,2209,2213,2217,2218,2220,2222,2223,2224,2226,2227,2228,2229,2233,2235,2239,2241,2242,2243,2244,2245,2246,2247,2248,2249,2252,2253,2254,2255,2264,2266,2267,2269,2270,2271,2272,2276,2280,2281,2282,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2319,2320,2322,2323,2324,2325,2329,2331,2334,2335,2336,2338,2339,2340,2341,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2379,2380,2381,2382,2383,2384,2385,2386,2387,2390,2392,2393,2394,2395,2396,2397,2399,2400,2401,2402,2403,2404,2407,2414,2415,2416,2417,2418,2420,2421,2422,2424,2425,2427,2428,2429,2430,2431,2432,2434,2435,2436,2437,2438,2439,2441,2442,2443,2445,2446,2447,2448,2449,2450,2451,2452,2454,2455,2457,2458,2459,2460,2462,2463,2464,2465,2466,2467,2468,2471,2472,2473,2475,2476,2477,2478,2479,2480,2481,2483,2484,2485,2488,2489,2491,2492,2493,2502,2503,2504,2505,2508,2509,2514,2515,2516,2517,2518,2519,2520,2524,2531,2534,2545,2546,2547,2548,2549,2550,2551,2552,2555,2556,2557,2558,2559,2562,2563,2567,2571,2572,2575,2580,2581,2582,2584,2589,2591,2592,2593,2595,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2609,2610,2612,2614,2615,2616,2617,2618,2635,2637,2638,2640,2644,2646,2647,2649,2650,2653,2654,2655,2656,2657,2659,2660,2661,2662,2664,2666,2667,2669,2670,2671,2674,2679,2681,2682,2683,2684,2685,2686,2688,2689,2690,2691,2708,2709,2711,2713,2714,2719,2720,2725,2726,2727,2728,2729,2730,2731,2733,2735,2737,2738,2740,2742,2745,2746,2751,2756,2758,2759,2760,2762,2766,2772,2773,2774,2775,2776,2778,2781,2785,2786,2787,2788,2789,2790,2791,2792,2794,2795,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2809,2813,2815,2816,2818,2821,2823,2824,2825,2827,2829,2840,2842,2843,2845,2847,2848,2852,2854,2856,2863,2864,2865,2866,2867,2868,2870,2873,2875,2877,2878,2879,2880,2881,2884,2885,2886,2889,2890,2891,2894,2896,2898,2899,2900,2902,2903,2904,2914,2915,2916,2919,2923,2930,2932,2933,2934,2935,2936,2937,2938,2939,2940,2942,2944,2945,2946,2947,2948,2949,2950,2951,2952,2955,2957,2958,2960,2962,2963,2964,2965,2966,2967,2968,2970,2971,2972,2973,2975,2976,2977,2979,2981,2982,2983,2985,2987,2992,2993,2994,2996,2997,2998,2999,3000,3002,3004,3005,3006,3007,3008,3009,3010,3013,3014,3015,3017,3018,3020,3021,3024,3025,3028,3030,3031,3034,3035,3039,3043,3044,3048,3050,3051,3052,3053,3056,3059,3063,3067,3068,3069,3070,3072,3075,3077,3079,3080,3092,3093,3094,3095,3097,3098,3101,3103,3106,3108,3111,3119,3120,3123,3124,3125,3126,3131,3132,3133,3134,3138,3139,3140,3141,3142,3143,3144,3146,3150,3151,3152,3155,3156,3157,3158,3161,3162,3164,3165,3166,3167,3168,3169,3170,3172,3173,3175,3176,3177,3178,3179,3180,3181,3183,3184,3188,3189,3190,3192,3193,3194,3195,3198,3199,3200,3201,3202,3203,3204,3206,3207,3209,3211,3212,3215,3216,3217,3224,3226,3229,3230,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3243,3244,3247,3248,3249,3250,3251,3254,3256,3257,3259,3261,3262,3263,3267,3268,3269,3271,3273,3274,3276,3278,3279,3281,3282,3285,3286,3287,3289,3290,3291,3293,3294,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3309,3311,3312,3313,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3326,3327,3328,3329,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3345,3347,3348,3350,3351,3352,3353,3354,3356,3358,3359,3363,3364,3366,3367,3372,3377,3378,3379,3383,3385,3388,3389,3390,3391,3392,3395,3396,3397,3400,3401,3402,3403,3406,3407,3408,3409,3410,3411,3429,3432,3433,3434,3437,3440,3442,3443,3444,3445,3446,3447,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3462,3463,3464,3465,3467,3468,3470,3471,3473,3475,3476,3477,3481,3483,3484,3485,3487,3489,3490,3493,3511,3512,3513,3514,3515,3517,3518,3519,3520,3523,3524,3526,3527,3528,3530,3532,3533,3534,3535,3541,3552,3553,3554,3555,3556,3557,3560,3561,3562,3563,3566,3567,3568,3569,3570,3571,3572,3574,3575,3576,3577,3578,3579,3580,3583,3584,3585,3587,3589,3590,3592,3593,3594,3595,3596,3597,3598,3600,3601,3605,3607,3608,3610,3612,3615,3619,3620,3624,3626,3627,3628,3629,3644,3645,3646,3647,3648,3649,3652,3653,3654,3655,3657,3658,3660,3661,3662,3663,3665,3666,3668,3671,3672,3673,3674,3675,3676,3679,3680,3684,3685,3686,3687,3688,3689,3690,3691,3693,3694,3696,3699,3700,3701,3702,3703,3705,3706,3707,3708,3709,3712,3713,3714,3715,3716,3717,3718,3719,3728,3732,3734,3735,3736,3739,3741,3743,3744,3745,3746,3747,3748,3750,3752,3753,3755,3756,3758,3759,3760,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3777,3778,3779,3781,3782,3784,3786,3787,3788,3790,3791,3792,3793,3796,3797,3798,3799,3801,3802,3803,3804,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3822,3824,3825,3826,3827,3829,3830,3831,3836,3839,3840,3841,3842,3844,3846,3847,3849,3851,3852,3853,3854,3855,3856,3858,3859,3861,3863,3867,3868,3869,3870,3871,3874,3882,3883,3885,3890,3891,3894,3895,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3913,3915,3917,3919,3921,3924,3925,3926,3927,3928,3929,3930,3932,3933,3937,3938,3939,3940,3941,3942,3943,3945,3946,3947,3948,3951,3952,3955,3956,3957,3958,3959,3960,3961,3962,3964,3965,3966,3967,3968,3973,3982,3983,3985,3986,3987,3988,3990,3992,3993,3994,3995,3996,3997,4011,4015,4016,4017,4018,4021,4022,4024,4025,4028,4031,4034,4035,4036,4037,4038,4039,4041,4042,4043,4044,4045,4048,4049,4051,4052,4054,4058,4063,4064,4066,4067,4068,4070,4072,4073,4074,4075,4076,4078,4079,4080,4081,4082,4083,4085,4086,4087,4088,4090,4091,4092,4093,4095],{"0":3,"1":5,"2":6,"3":7,"4":25,"5":26,"6":41,"7":43,"8":53,"9":59,"10":62,"11":66,"12":86,"13":90,"14":100,"15":102,"16":115,"17":123,"18":124,"19":126,"20":129,"21":130,"22":131,"23":133,"24":144,"25":145,"26":154,"27":155,"28":158,"29":167,"30":168,"31":172,"32":174,"33":176,"34":186,"35":189,"36":193,"37":197,"38":203,"39":209,"40":215,"41":216,"42":217,"43":220,"44":222,"45":223,"46":226,"47":227,"48":228,"49":229,"50":230,"51":238,"52":239,"53":254,"54":255,"55":256,"56":259,"57":268,"58":269,"59":270,"60":271,"61":272,"62":275,"63":277,"64":286,"65":289,"66":290,"67":292,"68":297,"69":301,"70":305,"71":306,"72":309,"73":325,"74":339,"75":342,"76":344,"77":353,"78":355,"79":358,"80":360,"81":362,"82":363,"83":366,"84":367,"85":382,"86":385,"87":388,"88":403,"89":405,"90":406,"91":417,"92":418,"93":419,"94":426,"95":427,"96":435,"97":447,"98":449,"99":450,"100":452,"101":453,"102":456,"103":458,"104":460,"105":463,"106":465,"107":473,"108":476,"109":478,"110":484,"111":487,"112":495,"113":501,"114":511,"115":518,"116":523,"117":532,"118":533,"119":535,"120":536,"121":537,"122":538,"123":539,"124":541,"125":543,"126":545,"127":550,"128":556,"129":558,"130":561,"131":568,"132":569,"133":570,"134":575,"135":576,"136":577,"137":578,"138":581,"139":582,"140":583,"141":585,"142":586,"144":597,"145":602,"146":609,"147":611,"148":612,"149":620,"150":621,"151":625,"152":629,"153":632,"154":638,"155":639,"156":640,"157":641,"158":643,"159":644,"160":645,"161":648,"162":649,"163":650,"164":651,"165":652,"166":653,"167":655,"168":656,"169":657,"170":658,"171":661,"172":663,"173":664,"174":665,"175":667,"176":674,"177":683,"178":685,"179":690,"180":691,"181":692,"182":701,"183":702,"184":705,"185":707,"186":708,"187":713,"188":718,"189":719,"190":724,"191":725,"192":733,"193":734,"194":743,"195":747,"196":752,"197":754,"198":763,"199":772,"200":777,"201":778,"202":792,"203":802,"204":813,"205":827,"206":828,"207":833,"208":835,"209":836,"210":841,"211":842,"212":843,"213":845,"214":849,"215":854,"216":856,"217":877,"218":880,"219":884,"220":885,"221":897,"222":898,"223":900,"224":902,"225":903,"226":904,"227":906,"228":910,"229":918,"230":919,"231":923,"232":924,"233":928,"234":929,"235":941,"236":943,"237":944,"238":948,"239":954,"240":955,"241":957,"242":962,"243":965,"244":966,"245":968,"246":969,"247":973,"248":974,"249":978,"250":980,"251":981,"252":982,"253":986,"254":987,"255":994,"256":997,"257":999,"258":1000,"259":1001,"260":1006,"261":1008,"262":1012,"263":1021,"264":1032,"265":1039,"266":1040,"267":1045,"268":1049,"269":1060,"270":1062,"271":1065,"272":1067,"273":1069,"274":1070,"275":1077,"276":1078,"277":1081,"278":1083,"279":1088,"280":1097,"281":1100,"282":1106,"283":1107,"284":1112,"285":1120,"286":1129,"287":1138,"288":1146,"289":1147,"290":1150,"291":1151,"292":1152,"293":1155,"294":1158,"295":1161,"296":1162,"297":1165,"298":1167,"299":1168,"300":1171,"301":1175,"302":1176,"303":1177,"304":1178,"305":1180,"306":1183,"307":1199,"308":1203,"309":1204,"310":1206,"311":1211,"312":1217,"313":1218,"314":1227,"315":1229,"316":1230,"317":1234,"318":1237,"319":1238,"320":1242,"321":1243,"322":1245,"323":1246,"324":1247,"325":1248,"326":1249,"327":1254,"328":1255,"329":1256,"330":1258,"331":1260,"332":1262,"333":1265,"334":1271,"335":1275,"336":1276,"337":1280,"338":1286,"339":1287,"340":1288,"341":1290,"342":1293,"343":1296,"344":1298,"345":1303,"346":1305,"347":1309,"348":1310,"349":1312,"350":1313,"351":1314,"352":1315,"353":1319,"354":1327,"355":1328,"356":1331,"357":1336,"358":1338,"359":1339,"360":1340,"361":1351,"362":1352,"363":1356,"364":1358,"365":1365,"366":1366,"367":1377,"368":1378,"369":1381,"370":1383,"371":1387,"372":1391,"373":1393,"374":1394,"375":1395,"376":1396,"377":1400,"378":1401,"379":1403,"380":1407,"381":1409,"382":1412,"383":1416,"384":1421,"385":1428,"386":1431,"387":1432,"388":1435,"389":1436,"390":1437,"391":1440,"392":1443,"393":1444,"394":1445,"395":1446,"396":1448,"397":1449,"398":1451,"399":1452,"400":1455,"401":1456,"402":1457,"403":1458,"404":1459,"405":1460,"406":1462,"407":1468,"408":1469,"409":1478,"410":1483,"411":1484,"412":1486,"413":1492,"414":1494,"415":1500,"416":1501,"417":1511,"418":1512,"419":1520,"420":1526,"421":1527,"422":1530,"423":1533,"424":1534,"425":1536,"426":1538,"427":1545,"428":1550,"429":1554,"430":1558,"431":1565,"432":1569,"433":1570,"434":1571,"435":1578,"436":1579,"437":1582,"438":1584,"439":1586,"440":1589,"441":1590,"442":1593,"443":1596,"444":1598,"445":1599,"446":1600,"447":1601,"448":1604,"449":1605,"450":1606,"451":1608,"452":1609,"453":1636,"454":1639,"455":1642,"456":1649,"457":1653,"458":1655,"459":1660,"460":1661,"461":1666,"462":1674,"463":1675,"464":1677,"465":1678,"466":1680,"467":1681,"468":1682,"469":1683,"470":1685,"471":1686,"472":1689,"473":1690,"474":1693,"475":1694,"476":1695,"477":1700,"478":1702,"479":1704,"480":1707,"481":1709,"482":1713,"483":1720,"484":1721,"485":1722,"486":1723,"487":1724,"488":1737,"489":1740,"490":1741,"491":1742,"492":1743,"493":1744,"494":1746,"495":1751,"496":1754,"497":1755,"498":1757,"499":1759,"500":1760,"501":1761,"502":1767,"503":1768,"504":1770,"505":1773,"506":1775,"507":1778,"508":1779,"509":1780,"510":1782,"511":1783,"512":1787,"513":1790,"514":1795,"515":1797,"516":1805,"517":1811,"518":1813,"519":1821,"520":1823,"521":1825,"522":1837,"523":1839,"524":1842,"525":1843,"526":1845,"527":1846,"528":1848,"529":1849,"530":1851,"531":1857,"532":1871,"533":1875,"534":1876,"535":1878,"536":1880,"537":1881,"538":1885,"539":1888,"540":1889,"541":1891,"542":1893,"543":1894,"544":1896,"545":1897,"546":1898,"547":1899,"548":1902,"549":1905,"550":1906,"551":1908,"552":1911,"553":1917,"554":1923,"555":1931,"556":1940,"557":1941,"558":1943,"559":1947,"560":1961,"561":1962,"562":1965,"563":1969,"564":1976,"565":1977,"566":1978,"567":1981,"568":1990,"569":1991,"570":1993,"571":1995,"572":2001,"573":2004,"574":2022,"575":2027,"576":2031,"577":2036,"578":2040,"579":2047,"580":2048,"581":2050,"582":2064,"583":2067,"584":2071,"585":2072,"586":2073,"587":2074,"588":2075,"589":2076,"590":2077,"591":2089,"592":2090,"593":2094,"594":2095,"595":2097,"596":2099,"597":2108,"598":2109,"599":2110,"600":2111,"601":2112,"602":2113,"603":2115,"604":2116,"605":2120,"606":2121,"607":2135,"608":2137,"609":2139,"610":2140,"611":2153,"612":2154,"613":2156,"614":2173,"615":2174,"616":2178,"617":2179,"618":2180,"619":2181,"620":2194,"621":2195,"622":2196,"623":2198,"624":2199,"625":2202,"626":2203,"627":2210,"628":2211,"629":2214,"630":2215,"631":2216,"632":2219,"633":2225,"634":2230,"635":2231,"636":2234,"637":2236,"638":2237,"639":2240,"640":2250,"641":2251,"642":2258,"643":2260,"644":2261,"645":2263,"646":2265,"647":2268,"648":2273,"649":2274,"650":2277,"651":2278,"652":2279,"653":2283,"654":2295,"655":2314,"656":2315,"657":2316,"658":2317,"659":2318,"660":2321,"661":2326,"662":2330,"663":2333,"664":2337,"665":2342,"666":2358,"667":2359,"668":2360,"669":2371,"670":2373,"671":2374,"672":2375,"673":2376,"674":2378,"675":2388,"676":2389,"677":2391,"678":2398,"679":2406,"680":2409,"681":2410,"682":2411,"683":2412,"684":2413,"685":2423,"686":2433,"687":2440,"688":2444,"689":2453,"690":2461,"691":2469,"692":2470,"693":2474,"694":2482,"695":2486,"696":2487,"697":2494,"698":2495,"699":2496,"700":2497,"701":2506,"702":2507,"703":2510,"704":2512,"705":2513,"706":2521,"707":2527,"708":2530,"709":2532,"710":2533,"711":2535,"712":2537,"713":2538,"714":2540,"715":2543,"716":2544,"717":2554,"718":2561,"719":2564,"720":2565,"721":2566,"722":2570,"723":2573,"724":2574,"725":2576,"726":2578,"727":2579,"728":2585,"729":2586,"730":2587,"731":2594,"732":2596,"733":2597,"734":2611,"735":2613,"736":2619,"737":2629,"738":2630,"739":2631,"740":2632,"741":2634,"742":2636,"743":2639,"744":2641,"745":2642,"746":2645,"747":2651,"748":2652,"749":2658,"750":2663,"751":2665,"752":2668,"753":2672,"754":2673,"755":2675,"756":2676,"757":2677,"758":2678,"759":2687,"760":2692,"761":2693,"762":2694,"763":2703,"764":2704,"765":2706,"766":2710,"767":2712,"768":2715,"769":2717,"770":2718,"771":2732,"772":2736,"773":2739,"774":2741,"775":2743,"776":2744,"777":2747,"778":2749,"779":2750,"780":2753,"781":2754,"782":2757,"783":2761,"784":2763,"785":2767,"786":2768,"787":2770,"788":2771,"789":2777,"790":2779,"791":2780,"792":2782,"793":2783,"794":2784,"795":2793,"796":2796,"797":2810,"798":2811,"799":2812,"800":2814,"801":2817,"802":2820,"803":2822,"804":2826,"805":2830,"806":2831,"807":2833,"808":2835,"809":2838,"810":2841,"811":2846,"812":2849,"813":2850,"814":2851,"815":2853,"816":2855,"817":2857,"818":2859,"819":2860,"820":2861,"821":2869,"822":2871,"823":2872,"824":2874,"825":2876,"826":2882,"827":2883,"828":2887,"829":2892,"830":2893,"831":2895,"832":2897,"833":2901,"834":2905,"835":2906,"836":2907,"837":2908,"838":2909,"839":2912,"840":2913,"841":2917,"842":2918,"843":2941,"844":2943,"845":2953,"846":2956,"847":2959,"848":2961,"849":2969,"850":2974,"851":2978,"852":2980,"853":2988,"854":2989,"855":2995,"856":3003,"857":3011,"858":3012,"859":3016,"860":3022,"861":3029,"862":3033,"863":3036,"864":3038,"865":3040,"866":3042,"867":3046,"868":3047,"869":3049,"870":3054,"871":3058,"872":3060,"873":3062,"874":3064,"875":3065,"876":3066,"877":3071,"878":3073,"879":3074,"880":3076,"881":3078,"882":3081,"883":3083,"884":3084,"885":3085,"886":3087,"887":3088,"888":3090,"889":3091,"890":3096,"891":3099,"892":3100,"893":3102,"894":3104,"895":3105,"896":3109,"897":3110,"898":3112,"899":3113,"900":3114,"901":3115,"902":3117,"903":3121,"904":3122,"905":3128,"906":3137,"907":3149,"908":3154,"909":3159,"910":3160,"911":3163,"912":3171,"913":3185,"914":3186,"915":3187,"916":3191,"917":3196,"918":3197,"919":3205,"920":3208,"921":3210,"922":3213,"923":3214,"924":3222,"925":3227,"926":3228,"927":3231,"928":3242,"929":3245,"930":3246,"931":3252,"932":3253,"933":3255,"934":3264,"935":3265,"936":3272,"937":3280,"938":3283,"939":3284,"940":3288,"941":3292,"942":3295,"943":3308,"944":3310,"945":3325,"946":3330,"947":3342,"948":3343,"949":3344,"950":3349,"951":3355,"952":3357,"953":3360,"954":3361,"955":3362,"956":3365,"957":3369,"958":3370,"959":3371,"960":3373,"961":3374,"962":3376,"963":3380,"964":3381,"965":3382,"966":3386,"967":3387,"968":3393,"969":3394,"970":3404,"971":3405,"972":3413,"973":3414,"974":3416,"975":3425,"976":3428,"977":3430,"978":3431,"979":3435,"980":3436,"981":3438,"982":3439,"983":3448,"984":3460,"985":3461,"986":3466,"987":3469,"988":3472,"989":3474,"990":3478,"991":3479,"992":3480,"993":3482,"994":3486,"995":3494,"996":3495,"997":3498,"998":3501,"999":3504,"1000":3507,"1001":3510,"1002":3516,"1003":3521,"1004":3522,"1005":3525,"1006":3531,"1007":3536,"1008":3537,"1009":3538,"1010":3539,"1011":3540,"1012":3542,"1013":3545,"1014":3546,"1015":3547,"1016":3548,"1017":3551,"1018":3558,"1019":3559,"1020":3564,"1021":3565,"1022":3573,"1023":3581,"1024":3582,"1025":3586,"1026":3588,"1027":3599,"1028":3602,"1029":3604,"1030":3606,"1031":3609,"1032":3613,"1033":3614,"1034":3616,"1035":3617,"1036":3618,"1037":3621,"1038":3622,"1039":3623,"1040":3630,"1041":3631,"1042":3633,"1043":3636,"1044":3637,"1045":3639,"1046":3640,"1047":3641,"1048":3642,"1049":3651,"1050":3656,"1051":3659,"1052":3664,"1053":3667,"1054":3669,"1055":3677,"1056":3678,"1057":3681,"1058":3682,"1059":3692,"1060":3697,"1061":3698,"1062":3704,"1063":3710,"1064":3711,"1065":3720,"1066":3723,"1067":3726,"1068":3729,"1069":3730,"1070":3731,"1071":3733,"1072":3738,"1073":3749,"1074":3751,"1075":3754,"1076":3757,"1077":3761,"1078":3775,"1079":3776,"1080":3783,"1081":3789,"1082":3794,"1083":3795,"1084":3800,"1085":3805,"1086":3806,"1087":3807,"1088":3821,"1089":3823,"1090":3828,"1091":3832,"1092":3834,"1093":3835,"1094":3838,"1095":3843,"1096":3845,"1097":3848,"1098":3850,"1099":3857,"1100":3860,"1101":3862,"1102":3865,"1103":3866,"1104":3872,"1105":3875,"1106":3876,"1107":3877,"1108":3884,"1109":3886,"1110":3889,"1111":3893,"1112":3896,"1113":3912,"1114":3916,"1115":3918,"1116":3920,"1117":3922,"1118":3923,"1119":3934,"1120":3935,"1121":3936,"1122":3944,"1123":3949,"1124":3950,"1125":3963,"1126":3970,"1127":3971,"1128":3972,"1129":3974,"1130":3975,"1131":3977,"1132":3978,"1133":3981,"1134":3984,"1135":3989,"1136":3991,"1137":3999,"1138":4002,"1139":4010,"1140":4012,"1141":4013,"1142":4014,"1143":4020,"1144":4023,"1145":4026,"1146":4029,"1147":4030,"1148":4033,"1149":4040,"1150":4047,"1151":4050,"1152":4053,"1153":4055,"1154":4056,"1155":4057,"1156":4059,"1157":4060,"1158":4061,"1159":4062,"1160":4065,"1161":4069,"1162":4071,"1163":4077,"1164":4084,"1165":4089,"1166":4094},[67,80,127,128,134,140,184,191,201,208,211,214,219,221,225,231,267,343,345,359,364,404,408,413,422,434,448,461,462,479,480,497,499,502,507,519,527,528,529,530,531,534,540,542,544,562,571,574,580,587,595,642,646,647,654,662,693,695,698,699,700,711,712,744,745,746,748,749,750,751,755,757,758,759,760,761,762,764,766,779,782,797,800,846,871,878,881,882,883,887,888,889,890,891,892,893,901,911,932,934,935,936,959,964,967,988,989,990,1002,1011,1013,1014,1015,1016,1017,1019,1020,1023,1024,1029,1031,1035,1036,1037,1038,1064,1071,1080,1089,1090,1117,1126,1127,1142,1154,1182,1184,1187,1189,1190,1192,1193,1194,1197,1202,1208,1213,1216,1231,1232,1252,1253,1257,1259,1261,1263,1289,1295,1297,1306,1318,1320,1323,1324,1333,1334,1337,1345,1346,1363,1364,1369,1370,1379,1380,1384,1386,1388,1390,1397,1402,1404,1405,1426,1429,1433,1434,1439,1442,1447,1450,1453,1454,1461,1463,1465,1466,1467,1471,1474,1475,1477,1482,1487,1498,1505,1529,1544,1577,1580,1581,1583,1587,1592,1594,1595,1597,1610,1611,1612,1613,1618,1623,1627,1630,1632,1633,1635,1650,1651,1662,1676,1687,1691,1692,1696,1699,1703,1706,1708,1714,1715,1728,1729,1730,1745,1809,1816,1819,1820,1834,1844,1847,1854,1866,1867,1879,1887,1895,1913,1922,1999,2006,2007,2008,2011,2012,2013,2014,2016,2017,2018,2019,2025,2026,2029,2042,2051,2052,2053,2054,2056,2057,2058,2060,2063,2065,2066,2078,2088,2096,2103,2106,2114,2122,2124,2125,2126,2128,2129,2130,2131,2132,2136,2141,2143,2157,2165,2188,2189,2190,2201,2205,2212,2232,2256,2257,2275,2296,2327,2328,2332,2372,2377,2408,2419,2426,2456,2498,2499,2500,2501,2522,2523,2536,2541,2542,2560,2568,2569,2577,2583,2590,2608,2620,2621,2622,2623,2624,2625,2627,2628,2633,2643,2648,2680,2695,2696,2697,2698,2699,2700,2702,2705,2707,2722,2723,2724,2748,2752,2755,2765,2769,2808,2819,2828,2832,2834,2836,2837,2839,2844,2858,2862,2888,2910,2921,2922,2924,2925,2927,2928,2931,2954,2984,2986,2990,2991,3001,3019,3023,3026,3032,3037,3041,3045,3055,3057,3061,3082,3086,3089,3107,3116,3127,3130,3135,3136,3145,3147,3148,3153,3174,3218,3219,3223,3225,3258,3266,3270,3275,3314,3346,3368,3375,3384,3398,3399,3412,3415,3417,3418,3420,3421,3422,3423,3424,3427,3441,3488,3491,3492,3496,3497,3500,3502,3503,3505,3506,3508,3509,3529,3543,3591,3603,3611,3625,3635,3638,3643,3650,3670,3683,3695,3721,3722,3724,3725,3727,3737,3780,3785,3833,3837,3873,3878,3879,3880,3881,3887,3888,3892,3914,3931,3953,3954,3969,3979,3998,4000,4001,4019,4027,4032,4046],[136,204,205,206,213,346,349,469,493,494,496,500,503,504,506,508,613,753,756,765,767,785,786,788,886,933,958,961,979,1007,1009,1010,1018,1025,1026,1034,1041,1063,1121,1185,1186,1191,1195,1196,1212,1220,1225,1304,1322,1330,1343,1344,1355,1357,1373,1374,1385,1389,1398,1399,1408,1413,1415,1418,1420,1423,1430,1472,1476,1504,1614,1615,1616,1617,1626,1628,1638,1640,1641,1643,1645,1705,1725,1747,1833,1840,1850,1855,1890,1921,2009,2010,2015,2049,2055,2059,2062,2127,2133,2138,2142,2172,2221,2238,2259,2262,2405,2490,2511,2525,2539,2553,2588,2626,2701,2716,2721,2734,2764,2911,2926,2929,3027,3118,3129,3182,3220,3221,3260,3277,3419,3426,3499,3632,3634,3742,3864,3976,4003,4006,4008],[68,348,352,354,420,421,423,505,509,510,599,600,605,628,630,631,637,975,976,996,1004,1005,1027,1028,1030,1093,1188,1223,1233,1341,1342,1347,1348,1349,1350,1353,1354,1359,1360,1361,1362,1367,1368,1371,1375,1376,1382,1406,1411,1414,1417,1419,1422,1424,1425,1427,1464,1602,1603,1607,1621,1625,1646,1647,1830,1831,1832,1852,1853,2061,2920,3544,3740,3980,4004,4007],[347,350,555,598,603,636,1022,1372,1410,1479,1496,1499,1503,1620,1624,1629,1631,1634,1637,1648,1829,1856,2528,2529,3549,4005,4009],[553,554,604,1481,1488,1489,1644,2526],[1473,1480,1485,1493,1502,1619,1622],[551,1497,3550],[1490,1491]]