#![allow(clippy::unreadable_literal)]

pub static MASK: [[[u64; 2]; 4]; 64] = [
    [
        [252, 126],
        [72340172838076416, 282578800148736],
        [9241421688590303232, 18049651735527936],
        [0, 0],
    ],
    [
        [248, 124],
        [144680345676152832, 565157600297472],
        [36099303471054848, 70506452091904],
        [0, 0],
    ],
    [
        [241, 122],
        [289360691352305664, 1130315200594944],
        [141012904181760, 275415828480],
        [65536, 512],
    ],
    [
        [227, 118],
        [578721382704611328, 2260630401189888],
        [550831652864, 1075843072],
        [16908288, 132096],
    ],
    [
        [199, 110],
        [1157442765409222656, 4521260802379776],
        [2151677952, 4202496],
        [4328783872, 33818624],
    ],
    [
        [143, 94],
        [2314885530818445312, 9042521604759552],
        [8388608, 16384],
        [1108169195520, 8657571840],
    ],
    [
        [31, 62],
        [4629771061636890624, 18085043209519104],
        [0, 0],
        [283691315101696, 2216338399232],
    ],
    [
        [63, 126],
        [9259542123273781248, 36170086419038208],
        [0, 0],
        [72624976668131328, 567382630219776],
    ],
    [
        [64512, 32256],
        [72340172838010880, 282578800148480],
        [4620710844295020544, 9024825867763712],
        [0, 0],
    ],
    [
        [63488, 31744],
        [144680345676021760, 565157600296960],
        [9241421688590041088, 18049651735527424],
        [0, 0],
    ],
    [
        [61696, 31232],
        [289360691352043520, 1130315200593920],
        [36099303470530560, 70506452090880],
        [16777216, 131072],
    ],
    [
        [58112, 30208],
        [578721382704087040, 2260630401187840],
        [141012903133184, 275415826432],
        [4328521728, 33816576],
    ],
    [
        [50944, 28160],
        [1157442765408174080, 4521260802375680],
        [550829555712, 1075838976],
        [1108168671232, 8657567744],
    ],
    [
        [36608, 24064],
        [2314885530816348160, 9042521604751360],
        [2147483648, 4194304],
        [283691314053120, 2216338391040],
    ],
    [
        [7936, 15872],
        [4629771061632696320, 18085043209502720],
        [0, 0],
        [72624976666034176, 567382630203392],
    ],
    [
        [16128, 32256],
        [9259542123265392640, 36170086419005440],
        [0, 0],
        [145249953332068352, 1134765260406784],
    ],
    [
        [16515072, 8257536],
        [72340172821233665, 282578800083200],
        [2310355422113955840, 4512412933816320],
        [4, 512],
    ],
    [
        [16252928, 8126464],
        [144680345642467330, 565157600166400],
        [4620710844227911680, 9024825867632640],
        [8, 1024],
    ],
    [
        [15794176, 7995392],
        [289360691284934660, 1130315200332800],
        [9241421688455823361, 18049651735265792],
        [4294967312, 33556480],
    ],
    [
        [14876672, 7733248],
        [578721382569869320, 2260630400665600],
        [36099303202095106, 70506451567616],
        [1108101562400, 8657047552],
    ],
    [
        [13041664, 7208960],
        [1157442765139738640, 4521260801331200],
        [141012366262276, 275414779904],
        [283691179835456, 2216337350656],
    ],
    [
        [9371648, 6160384],
        [2314885530279477280, 9042521602662400],
        [549755813896, 1073745920],
        [72624976397598848, 567382628122624],
    ],
    [
        [2031616, 4063232],
        [4629771060558954560, 18085043205324800],
        [16, 8192],
        [145249952795197440, 1134765256212480],
    ],
    [
        [4128768, 8257536],
        [9259542121117909120, 36170086410649600],
        [32, 16384],
        [290499905590394880, 2269530512424960],
    ],
    [
        [4227858432, 2113929216],
        [72340168526266625, 282578783371520],
        [1155177702467043328, 2256206450130944],
        [1032, 132096],
    ],
    [
        [4160749568, 2080374784],
        [144680337052533250, 565157566743040],
        [2310355404934086656, 4512412900261888],
        [2064, 264192],
    ],
    [
        [4043309056, 2046820352],
        [289360674105066500, 1130315133486080],
        [4620710809868173568, 9024825800654848],
        [1099511631904, 8590462976],
    ],
    [
        [3808428032, 1979711488],
        [578721348210133000, 2260630266972160],
        [9241421619736347137, 18049651601310208],
        [283673999974464, 2216204181504],
    ],
    [
        [3338665984, 1845493760],
        [1157442696420266000, 4521260533944320],
        [36099165763142658, 70506183656448],
        [72624942037876864, 567382361784320],
    ],
    [
        [2399141888, 1577058304],
        [2314885392840532000, 9042521067888640],
        [140737488357380, 274878957568],
        [145249884075753472, 1134764723535872],
    ],
    [
        [520093696, 1040187392],
        [4629770785681064000, 18085042135777280],
        [4104, 2101248],
        [290499768151441408, 2269529438683136],
    ],
    [
        [1056964608, 2113929216],
        [9259541571362128000, 36170084271554560],
        [8208, 4202496],
        [580999536302882816, 4539058877366272],
    ],
    [
        [1082331758592, 541165879296],
        [72339069014704385, 282574505181440],
        [577586652210266112, 1128098930098176],
        [264208, 33818624],
    ],
    [
        [1065151889408, 532575944704],
        [144678138029408770, 565149010362880],
        [1155173304420532224, 2256197860196352],
        [528416, 67637248],
    ],
    [
        [1035087118336, 523986010112],
        [289356276058817540, 1130298020725760],
        [2310346608841129984, 4512395753947136],
        [281474977767488, 2199158530048],
    ],
    [
        [974957576192, 506806140928],
        [578712552117635080, 2260596041451520],
        [4620693217682260224, 9024791508025344],
        [72620543993462912, 567348270481408],
    ],
    [
        [854698491904, 472446402560],
        [1157425104235270160, 4521192082903040],
        [9241386435364520449, 18049583016051200],
        [145241087986925568, 1134696540930048],
    ],
    [
        [614180323328, 403726925824],
        [2314850208470540320, 9042384165806080],
        [36028797019489282, 70369013138432],
        [290482175973785600, 2269393073471488],
    ],
    [
        [133143986176, 266287972352],
        [4629700416941080640, 18084768331612160],
        [1050628, 537921536],
        [580964351930793984, 4538783999459328],
    ],
    [
        [270582939648, 541165879296],
        [9259400833882161280, 36169536663224320],
        [2101256, 1075843072],
        [1161928703861587968, 9077567998918656],
    ],
    [
        [277076930199552, 138538465099776],
        [72057594054770945, 281479288520960],
        [288230376151711744, 562949953421312],
        [67637280, 8657571840],
    ],
    [
        [272678883688448, 136339441844224],
        [144115188109541890, 562958577041920],
        [576460752303423488, 1125899906842624],
        [135274560, 17315143680],
    ],
    [
        [264982302294016, 134140418588672],
        [288230376219083780, 1125917154083840],
        [1152921504623624192, 2251808403619840],
        [72057594308477056, 562984583708672],
    ],
    [
        [249589139505152, 129742372077568],
        [576460752438167560, 2251834308167680],
        [2305843009247313920, 4503616840794112],
        [144115188616953856, 1125969167384576],
    ],
    [
        [218802813927424, 120946279055360],
        [1152921504876335120, 4503668616335360],
        [4611686018494628096, 9007233681719296],
        [288230377233842176, 2251938326380544],
    ],
    [
        [157230162771968, 103354093010944],
        [2305843009752670240, 9007337232670720],
        [9223372036989256193, 18014467363439104],
        [576460754450907136, 4503874505277440],
    ],
    [
        [34084860461056, 68169720922112],
        [4611686019505340480, 18014674465341440],
        [268960770, 137707914240],
        [1152921504606846976, 9007199254740992],
    ],
    [
        [69269232549888, 138538465099776],
        [9223372039010680960, 36029348930682880],
        [537921540, 275415828480],
        [2305843009213693952, 18014398509481984],
    ],
    [
        [70931694131085312, 35465847065542656],
        [4311810305, 1103823438080],
        [0, 0],
        [17315143744, 2216338399232],
    ],
    [
        [69805794224242688, 34902897112121344],
        [8623620610, 2207646876160],
        [0, 0],
        [34630287488, 4432676798464],
    ],
    [
        [67835469387268096, 34339947158700032],
        [17247241220, 4415293752320],
        [4294967296, 2199023255552],
        [69260574720, 8865353564160],
    ],
    [
        [63894819713318912, 33214047251857408],
        [34494482440, 8830587504640],
        [8606711808, 4406636445696],
        [138521083904, 17730698739712],
    ],
    [
        [56013520365420544, 30962247438172160],
        [68988964880, 17661175009280],
        [17213489152, 8813306445824],
        [277025390592, 35459249995776],
    ],
    [
        [40250921669623808, 26458647810801664],
        [137977929760, 35322350018560],
        [34426978560, 17626613022720],
        [549755813888, 70368744177664],
    ],
    [
        [8725724278030336, 17451448556060672],
        [275955859520, 70644700037120],
        [68853957121, 35253226045952],
        [0, 0],
    ],
    [
        [17732923532771328, 35465847065542656],
        [551911719040, 141289400074240],
        [137707914242, 70506452091904],
        [0, 0],
    ],
    [
        [18158513697557839872, 9079256848778919936],
        [1103823438081, 282578800148736],
        [0, 0],
        [4432676798592, 567382630219776],
    ],
    [
        [17870283321406128128, 8935141660703064064],
        [2207646876162, 565157600297472],
        [0, 0],
        [8865353596928, 1134765260406784],
    ],
    [
        [17365880163140632576, 8791026472627208192],
        [4415293752324, 1130315200594944],
        [1099511627776, 562949953421312],
        [17730707128320, 2269530512424960],
    ],
    [
        [16357073846609641472, 8502796096475496448],
        [8830587504648, 2260630401189888],
        [2203318222848, 1128098930098176],
        [35461397479424, 4539058877366272],
    ],
    [
        [14339461213547659264, 7926335344172072960],
        [17661175009296, 4521260802379776],
        [4406653222912, 2256206450130944],
        [70918499991552, 9077567998918656],
    ],
    [
        [10304235947423694848, 6773413839565225984],
        [35322350018592, 9042521604759552],
        [8813306511360, 4512412933816320],
        [140737488355328, 18014398509481984],
    ],
    [
        [2233785415175766016, 4467570830351532032],
        [70644700037184, 18085043209519104],
        [17626613022976, 9024825867763712],
        [0, 0],
    ],
    [
        [4539628424389459968, 9079256848778919936],
        [141289400074368, 36170086419038208],
        [35253226045953, 18049651735527936],
        [0, 0],
    ],
];
pub static INDEX: [[u16; 4]; 64] = [
    [0, 0, 0, 0],
    [128, 0, 0, 0],
    [129, 0, 0, 0],
    [192, 0, 0, 0],
    [193, 0, 0, 0],
    [256, 0, 0, 0],
    [257, 0, 0, 0],
    [320, 0, 0, 0],
    [0, 128, 0, 128],
    [128, 128, 128, 128],
    [129, 128, 128, 128],
    [192, 128, 128, 128],
    [193, 128, 128, 128],
    [256, 128, 128, 128],
    [257, 128, 128, 128],
    [320, 128, 128, 0],
    [0, 129, 0, 129],
    [128, 129, 128, 129],
    [129, 129, 129, 129],
    [192, 129, 129, 129],
    [193, 129, 129, 129],
    [256, 129, 129, 129],
    [257, 129, 129, 128],
    [320, 129, 129, 0],
    [0, 192, 0, 192],
    [128, 192, 128, 192],
    [129, 192, 129, 192],
    [192, 192, 192, 192],
    [193, 192, 192, 192],
    [256, 192, 192, 129],
    [257, 192, 192, 128],
    [320, 192, 192, 0],
    [0, 193, 0, 193],
    [128, 193, 128, 193],
    [129, 193, 129, 193],
    [192, 193, 192, 193],
    [193, 193, 193, 192],
    [256, 193, 193, 129],
    [257, 193, 193, 128],
    [320, 193, 193, 0],
    [0, 256, 0, 256],
    [128, 256, 128, 256],
    [129, 256, 129, 256],
    [192, 256, 192, 193],
    [193, 256, 193, 192],
    [256, 256, 256, 129],
    [257, 256, 256, 128],
    [320, 256, 256, 0],
    [0, 257, 0, 257],
    [128, 257, 128, 257],
    [129, 257, 129, 256],
    [192, 257, 192, 193],
    [193, 257, 193, 192],
    [256, 257, 256, 129],
    [257, 257, 257, 128],
    [320, 257, 257, 0],
    [0, 320, 0, 320],
    [128, 320, 128, 257],
    [129, 320, 129, 256],
    [192, 320, 192, 193],
    [193, 320, 193, 192],
    [256, 320, 256, 129],
    [257, 320, 257, 128],
    [320, 320, 320, 0],
];
pub static RESULT: [u8; 14336] = [
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
    0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
    0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0,
    0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0,
    0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
    0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 30, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
    0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
    0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 30, 31, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0,
    0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0,
    0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
    1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0,
    1, 2, 3, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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    1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    1, 0, 1, 0, 1, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14,
    14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
    14, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 1, 2, 3, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0,
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0,
    0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0,
    0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0,
    0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0,
    0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0,
    0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0,
    0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4,
    4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 3, 4, 4, 4, 7, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4,
    4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4,
    0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4,
    0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8,
    8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0,
    0, 3, 12, 12, 12, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7,
    8, 8, 8, 8, 8, 8, 8, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2,
    0, 0, 0, 2, 0, 12, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    6, 0, 8, 0, 8, 0, 8, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0,
    0, 2, 0, 0, 0, 2, 0, 12, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 6, 0, 8, 0, 8, 0, 8, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 4, 4, 0, 0, 8, 8, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 3, 4, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 4, 4, 0, 0, 8, 8, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 28,
    28, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24,
    24, 24, 24, 24, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0,
    0, 3, 28, 28, 28, 31, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7,
    24, 24, 24, 24, 24, 24, 24, 31, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0,
    0, 2, 0, 0, 0, 2, 0, 28, 0, 30, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0,
    0, 0, 6, 0, 24, 0, 24, 0, 24, 0, 30, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0,
    2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 28, 0, 30, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0,
    0, 0, 0, 0, 0, 6, 0, 24, 0, 24, 0, 24, 0, 30, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0,
    0, 0, 0, 0, 0, 4, 4, 0, 0, 24, 24, 0, 0, 28, 28, 0, 0, 0, 0, 0, 3, 4, 4, 4, 7, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4,
    4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 24, 24, 0, 0, 28, 28, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0,
    0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 24, 0, 0, 0, 28, 0, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0,
    0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 24, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0,
    3, 0, 0, 0, 3, 12, 12, 12, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 7, 8, 8, 8, 8, 8, 8, 8, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,
    0, 0, 2, 0, 0, 0, 2, 0, 12, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 6, 0, 8, 0, 8, 0, 8, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 12, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 6, 0, 8, 0, 8, 0, 8, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 4, 4, 0, 0, 8, 8, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 3, 4, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 4, 4, 0, 0, 8, 8, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 28, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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