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