[{"0":0,"5":5,"6":6,"7":7,"8":9,"9":11,"11":15,"13":17,"14":18,"15":19,"16":20,"17":22,"18":23,"19":24,"20":25,"23":30,"24":31,"25":33,"34":43,"36":45,"41":52,"48":60,"51":64,"54":69,"55":70,"56":71,"58":73,"59":75,"62":78,"65":82,"66":83,"68":85,"74":93,"75":94,"78":99,"81":103,"83":105,"87":111,"95":120,"102":127,"103":128,"104":129,"108":134,"117":145,"124":153,"131":161,"139":172,"140":174,"146":181,"157":196,"158":197,"159":198,"160":199,"166":207,"167":208,"170":212,"173":215,"174":218,"175":220,"179":226,"181":228,"184":231,"185":232,"186":233,"187":234,"192":240,"193":241,"194":242,"196":244,"198":246,"199":248,"200":249,"214":267,"216":270,"222":276,"224":278,"231":286,"232":287,"233":288,"234":289,"236":291,"239":294,"241":296,"242":297,"245":301,"247":304,"249":307,"251":310,"253":312,"255":314,"258":317,"260":319,"266":325,"267":326,"275":336,"279":340,"280":341,"281":342,"284":345,"287":349,"289":352,"297":363,"314":384,"315":385,"316":387,"321":393,"325":398,"327":400,"328":401,"344":423,"347":426,"351":430,"354":437,"363":454,"364":455,"369":460,"370":461,"377":468,"379":472,"381":474,"383":476,"397":490,"401":496,"402":497,"405":502,"410":508,"416":516,"426":528,"430":533,"433":536,"434":537,"435":538,"438":1024,"440":1027,"441":1029,"448":1037,"452":1043,"457":1048,"461":1052,"462":1053,"464":1055,"466":1057,"469":1061,"470":1062,"472":1064,"474":1066,"477":1070,"481":1077,"483":1080,"485":1082,"493":1091,"495":1093,"500":1099,"504":1105,"505":1106,"507":1108,"508":1109,"509":1111,"510":1112,"513":1117,"519":1125,"520":1126,"523":1129,"524":1130,"530":1136,"536":1142,"537":1143,"541":1147,"543":1149,"544":1150,"546":1152,"552":1159,"556":1166,"563":1174,"564":1175,"565":1176,"570":1182,"571":1183,"577":1190,"580":1194,"583":1199,"591":1210,"592":1211,"594":1214,"597":1219,"601":1223,"602":1224,"604":1227,"606":1229,"608":1231,"609":1232,"614":1239,"621":1246,"622":1249,"623":1250,"627":1254,"629":1256,"633":1261,"634":1262,"635":1263,"637":1266,"638":1267,"639":1268,"642":1274,"644":1277,"646":1281,"647":1282,"648":1283,"655":1290,"656":1291,"661":1299,"663":1301,"667":1306,"669":1309,"670":1310,"672":1313,"673":1314,"675":1317,"676":1318,"677":1319,"680":1323,"681":1324,"684":1328,"687":1331,"689":1334,"694":1339,"695":1342,"696":1343,"700":1348,"701":1349,"702":1350,"703":1351,"704":1352,"717":1372,"724":1379,"725":1380,"728":1384,"729":1385,"744":1406,"758":1423,"759":1424,"762":1427,"763":1428,"764":1429,"774":1444,"778":1448,"784":1454,"785":1455,"787":1457,"796":1468,"797":1469,"802":1474,"809":1481,"823":1497,"830":1506,"836":1515,"838":1518,"851":1535,"854":1540,"866":1561,"870":2075,"903":2257,"904":2260,"908":2282,"918":2357,"932":2456,"934":2474,"935":2486,"941":2526,"944":2564,"957":2705,"965":2770,"968":2806,"970":2820,"980":2879,"990":2929,"991":2930,"994":2977,"999":3006,"1008":3044,"1017":3093,"1023":3125,"1024":3126,"1029":3179,"1031":3185,"1046":3310,"1048":3335,"1049":3336,"1055":3371,"1063":3487,"1066":3498,"1068":3566,"1073":3597,"1083":3730,"1088":3781,"1090":3793,"1092":3823,"1093":3826,"1096":3891,"1099":3900,"1103":3935,"1108":3968},{"2":12,"3":14,"6":27,"9":47,"14":79,"15":87,"17":96,"22":114,"26":152,"27":155,"38":216,"40":219,"47":282,"63":406,"68":421,"83":495,"85":500,"90":522,"96":549,"97":550,"98":551,"111":566,"112":567,"117":577,"120":583,"131":598,"135":603,"136":606,"137":607,"146":622,"147":624,"148":625,"149":626,"151":629,"152":630,"153":631,"154":632,"159":640,"160":641,"161":642,"163":645,"164":647,"166":649,"167":650,"168":652,"170":654,"172":657,"173":659,"178":668,"190":684,"193":687,"196":691,"197":692,"200":697,"201":701,"203":704,"206":709,"207":710,"212":717,"213":718,"214":719,"215":720,"216":721,"220":725,"223":728,"224":730,"242":751,"243":754,"249":762,"250":764,"252":767,"253":768,"254":769,"255":770,"258":773,"260":776,"261":777,"267":788,"268":789,"269":792,"282":810,"287":816,"290":819,"293":824,"295":827,"302":836,"303":837,"305":840,"306":841,"310":847,"312":850,"313":851,"314":852,"316":854,"318":856,"319":858,"322":863,"323":864,"324":865,"327":869,"329":873,"339":887,"340":888,"344":892,"347":898,"352":908,"355":912,"356":914,"357":915,"358":916,"360":918,"362":920,"363":921,"367":929,"368":930,"369":932,"370":933,"372":936,"374":939,"375":940,"376":941,"378":945,"381":949,"390":963,"411":995,"415":1000,"416":1001,"423":1011,"425":1015,"430":1022,"436":1041,"438":1068,"440":1076,"441":1089,"442":1095,"443":1102,"444":1110,"447":1124,"449":1160,"462":1218,"463":1235,"464":1247,"466":1264,"467":1269,"469":1273,"472":1280,"476":1308,"480":1325,"482":1340,"483":1341,"496":1416,"498":1435,"499":1437,"507":1503,"516":1538,"523":1564,"525":1567,"527":1570,"531":1576,"535":1580,"536":1582,"541":1594,"543":1597,"544":1598,"545":1599,"555":1611,"556":1613,"557":1614,"567":1628,"569":1630,"570":1631,"571":1635,"577":1642,"583":1650,"584":1651,"585":1652,"587":1654,"588":1655,"589":1656,"590":1657,"591":1658,"592":1659,"593":1663,"595":1665,"596":1666,"597":1667,"598":1670,"599":1671,"600":1675,"605":1681,"606":1682,"607":1683,"609":1685,"613":1689,"617":1694,"622":1700,"626":1706,"632":1715,"633":1717,"636":1722,"637":1723,"639":1726,"641":1729,"642":1730,"643":1732,"644":1733,"647":1739,"648":1741,"649":1742,"652":1747,"654":1750,"656":1753,"658":1755,"660":1757,"662":1759,"669":1770,"670":1771,"674":1777,"684":1790,"688":1797,"689":1798,"692":1803,"694":1808,"697":1813,"717":1842,"718":1843,"722":1849,"727":1856,"730":1863,"732":1865,"733":1867,"735":1869,"737":1875,"740":1878,"742":1880,"746":1884,"748":1887,"749":1888,"753":1892,"760":1902,"765":1907,"766":1908,"769":1913,"772":1917,"774":1920,"780":1930,"782":1932,"783":1933,"784":1935,"786":1938,"788":1941,"789":1942,"791":1944,"792":1945,"793":1948,"794":1949,"799":1955,"800":1956,"801":1957,"802":1958,"803":1959,"804":1960,"805":1961,"806":1963,"808":1966,"810":1968,"811":1969,"815":1977,"824":1990,"825":1991,"826":1992,"828":1995,"829":1996,"832":2002,"835":2007,"836":2009,"841":2015,"851":2031,"854":2035,"863":2047,"866":2101,"870":2118,"874":2146,"876":2162,"881":2192,"884":2223,"891":2268,"893":2284,"903":2378,"939":2684,"946":2730,"950":2749,"952":2767,"955":2782,"959":2795,"960":2807,"963":2812,"977":2940,"982":2958,"983":2970,"988":3023,"991":3063,"1000":3099,"1009":3164,"1011":3168,"1017":3209,"1066":3540,"1073":3575,"1087":3692,"1101":3777,"1104":3794,"1107":3805,"1120":3902,"1125":3945,"1126":3956,"1138":4065,"1142":4093},{"8":542,"10":545,"32":637,"35":646,"38":658,"47":689,"48":693,"50":699,"53":705,"57":733,"63":774,"66":782,"67":786,"69":791,"71":796,"79":846,"91":899,"94":911,"116":993,"120":1010,"123":1017,"142":1566,"143":1568,"144":1571,"150":1591,"151":1592,"157":1620,"165":1668,"166":1669,"169":1680,"174":1714,"175":1716,"177":1721,"181":1736,"184":1744,"185":1749,"186":1752,"187":1760,"188":1762,"195":1792,"199":1807,"200":1809,"203":1819,"212":1852,"215":1862,"217":1870,"219":1874,"222":1897,"231":1937,"232":1939,"237":1965,"238":1970,"244":1999,"269":2107,"272":2121,"280":2176,"288":2225,"289":2230,"294":2262,"298":2298,"306":2358,"307":2365,"313":2403,"323":2438,"331":2529,"335":2544,"338":2558,"342":2588,"343":2616,"345":2625,"346":2645,"349":2655,"353":2671,"354":2673,"355":2681,"361":2727,"364":2765,"365":2776,"366":2785,"374":2873,"382":2959,"384":2972,"391":3028,"393":3039,"395":3056,"397":3060,"399":3070,"403":3110,"413":3162,"414":3167,"416":3190,"420":3203,"423":3230,"429":3259,"430":3261,"431":3268,"437":3304,"438":3307,"442":3341,"449":3387,"450":3424,"455":3451,"470":3559,"471":3564,"473":3574,"475":3598,"476":3612,"477":3613,"485":3679,"491":3711,"492":3718,"499":3754,"506":3797,"527":3938,"532":3954,"533":3958,"534":3970,"535":3973,"539":4001,"555":4057,"557":4062,"561":4078},{"6":617,"45":2100,"47":2111,"52":2184,"63":2300,"64":2312,"72":2381,"77":2421,"79":2446,"89":2519,"92":2550,"94":2574,"98":2597,"99":2599,"101":2614,"103":2617,"104":2619,"109":2666,"112":2704,"115":2752,"117":2779,"122":2829,"123":2831,"125":2866,"136":2957,"146":3015,"147":3017,"148":3022,"149":3025,"151":3031,"154":3094,"157":3123,"158":3131,"163":3150,"165":3163,"175":3274,"176":3278,"178":3302,"179":3311,"180":3317,"182":3324,"186":3339,"187":3357,"190":3373,"194":3392,"195":3398,"196":3399,"197":3406,"200":3428,"204":3458,"205":3459,"206":3468,"208":3482,"211":3497,"214":3522,"216":3533,"224":3573,"225":3578,"226":3586,"227":3602,"228":3617,"230":3646,"233":3658,"234":3659,"235":3666,"238":3684,"239":3699,"241":3712,"247":3774,"253":3824,"254":3828,"255":3829,"258":3860,"261":3867,"264":3881,"265":3908,"267":3911,"272":3979,"275":4011,"276":4015,"277":4017},{"15":2088,"16":2123,"17":2131,"22":2216,"28":2291,"30":2303,"32":2318,"33":2323,"34":2335,"35":2337,"36":2355,"38":2362,"41":2391,"46":2476,"54":2533,"60":2562,"61":2563,"64":2610,"67":2674,"71":2721,"73":2774,"77":2844,"79":2853,"80":2876,"82":2903,"85":2919,"87":2928,"88":2942,"89":2955,"96":3043,"98":3057,"100":3065,"101":3071,"102":3082,"108":3128,"109":3143,"110":3165,"111":3180,"112":3192,"116":3213,"118":3217,"119":3220,"123":3351,"124":3385,"127":3402,"133":3474,"134":3480,"135":3504,"136":3506,"137":3512,"138":3514,"142":3634,"144":3648,"147":3662,"149":3671,"152":3697,"153":3709,"155":3756,"160":3830,"161":3852,"163":3857,"165":3872,"166":3904,"172":4009,"177":4075,"178":4076},{"3":2071,"5":2092,"6":2104,"8":2147,"14":2235,"15":2241,"17":2271,"24":2413,"25":2434,"27":2439,"28":2440,"29":2443,"30":2449,"31":2454,"32":2482,"33":2501,"38":2561,"40":2591,"41":2639,"42":2650,"45":2714,"47":2716,"48":2731,"50":2760,"52":2780,"53":2796,"55":2804,"60":2859,"62":2874,"65":2947,"69":3021,"71":3089,"75":3191,"76":3205,"78":3218,"79":3224,"84":3283,"86":3325,"88":3328,"91":3382,"92":3388,"94":3407,"99":3519,"101":3599,"102":3611,"103":3616,"104":3622,"107":3663,"108":3672,"110":3700,"112":3721,"115":3745,"117":3775,"119":3800,"126":3976,"127":3998,"128":3999,"131":4033},{"2":2053,"3":2080,"4":2091,"5":2113,"7":2132,"10":2163,"11":2186,"13":2220,"15":2283,"16":2370,"24":2580,"31":2672,"32":2675,"34":2699,"36":2723,"37":2748,"38":2758,"40":2817,"42":2837,"43":2843,"44":2872,"45":2880,"48":2897,"50":2934,"55":3053,"56":3115,"58":3232,"61":3309,"62":3332,"66":3405,"67":3438,"71":3505,"72":3521,"73":3530,"75":3563,"76":3605,"77":3649,"80":3717,"81":3758,"82":3763,"83":3770,"85":3827,"86":3837,"88":3878,"91":3942,"93":3978,"95":3995,"97":4013,"98":4019,"99":4058},{"0":2049,"2":2072,"4":2103,"5":2138,"6":2150,"9":2210,"10":2264,"11":2288,"12":2309,"14":2382,"18":2546,"19":2547,"20":2567,"21":2605,"24":2662,"25":2691,"28":2708,"33":2793,"35":2836,"36":2838,"37":2851,"38":2885,"40":2994,"43":3066,"44":3154,"45":3177,"47":3188,"49":3219,"53":3350,"54":3389,"55":3401,"57":3442,"58":3479,"59":3483,"63":3532,"65":3608,"66":3621,"70":3644,"71":3670,"72":3771,"75":3923,"76":3960,"77":4030,"79":4059},{"0":2074,"2":2078,"4":2205,"5":2211,"6":2252,"7":2265,"8":2272,"9":2287,"10":2295,"13":2375,"17":2545,"18":2553,"19":2604,"20":2608,"22":2613,"24":2630,"26":2709,"27":2732,"28":2751,"31":2789,"33":2816,"36":2902,"43":3032,"44":3050,"45":3088,"46":3135,"47":3152,"48":3156,"50":3196,"51":3233,"52":3264,"53":3280,"55":3315,"56":3360,"57":3364,"59":3409,"60":3430,"61":3481,"63":3523,"64":3534,"66":3570,"67":3576,"68":3581,"70":3604,"75":3734,"79":3819,"83":3922,"85":3926,"86":3940,"87":3965,"88":4003,"89":4029,"90":4072,"91":4077},{"0":2085,"3":2124,"6":2258,"8":2280,"12":2351,"13":2353,"14":2424,"16":2469,"17":2478,"19":2509,"24":2648,"27":2800,"29":2846,"30":2867,"31":2877,"33":2920,"38":3041,"40":3083,"43":3267,"44":3287,"45":3320,"46":3321,"48":3363,"51":3435,"54":3500,"56":3643,"58":3725,"60":3905,"62":3983,"64":4034,"65":4036,"66":4056},{"0":2063,"2":2182,"3":2195,"4":2301,"5":2388,"6":2448,"7":2483,"12":2590,"15":2631,"19":2828,"20":2870,"21":3030,"22":3100,"23":3101,"24":3193,"28":3349,"31":3413,"34":3462,"35":3584,"40":3682,"43":3739,"44":3831,"45":3846,"47":3974,"48":4079},{"0":2066,"3":2253,"4":2316,"5":2401,"7":2685,"8":2687,"14":2756,"16":2849,"17":2966,"19":3132,"21":3144,"28":3352,"29":3489,"31":3562,"35":3601,"37":3645,"39":3687,"40":3694,"41":3704,"42":3720,"43":3767,"44":3780,"48":4008},{"1":2064,"4":2217,"6":2321,"8":2432,"9":2453,"12":2635,"13":2642,"15":2712,"18":3195,"20":3299,"23":3535,"27":3875,"28":3928,"29":3944,"34":4069},{"0":2161,"1":2177,"3":2329,"9":3035,"11":3204,"20":3807,"21":3818},{"0":2248,"4":2508,"7":2818,"17":3516,"20":3851},{"23":3475,"24":3623},[],[],[],[],[],[],[],[],[]]