#pragma once
struct MaskRow { uint64_t mask; unsigned np; uint64_t pats[8]; };
static const MaskRow rows[] = {
{0ULL,1,{0ULL}},
{2305843009213693951ULL,2,{0ULL,2305843009213693951ULL}},
{2305843009213693953ULL,2,{1ULL,2305843009213693952ULL}},
{2305843009213693955ULL,2,{2ULL,2305843009213693953ULL}},
{2305843009213693959ULL,2,{4ULL,2305843009213693955ULL}},
{2305843009213693967ULL,2,{8ULL,2305843009213693959ULL}},
{2305843009213693983ULL,2,{16ULL,2305843009213693967ULL}},
{2305843009213694015ULL,2,{32ULL,2305843009213693983ULL}},
{2305843009213694079ULL,2,{64ULL,2305843009213694015ULL}},
{2305843009213694207ULL,2,{128ULL,2305843009213694079ULL}},
{2305843009213694463ULL,2,{256ULL,2305843009213694207ULL}},
{2305843009213694975ULL,2,{512ULL,2305843009213694463ULL}},
{2305843009213695999ULL,2,{1024ULL,2305843009213694975ULL}},
{2305843009213698047ULL,2,{2048ULL,2305843009213695999ULL}},
{2305843009213702143ULL,2,{4096ULL,2305843009213698047ULL}},
{2305843009213710335ULL,2,{8192ULL,2305843009213702143ULL}},
{2305843009213726719ULL,2,{16384ULL,2305843009213710335ULL}},
{2305843009213759487ULL,2,{32768ULL,2305843009213726719ULL}},
{2305843009213825023ULL,2,{65536ULL,2305843009213759487ULL}},
{2305843009213956095ULL,2,{131072ULL,2305843009213825023ULL}},
{2305843009214218239ULL,2,{262144ULL,2305843009213956095ULL}},
{2305843009214742527ULL,2,{524288ULL,2305843009214218239ULL}},
{2305843009215791103ULL,2,{1048576ULL,2305843009214742527ULL}},
{2305843009217888255ULL,2,{2097152ULL,2305843009215791103ULL}},
{2305843009222082559ULL,2,{4194304ULL,2305843009217888255ULL}},
{2305843009230471167ULL,2,{8388608ULL,2305843009222082559ULL}},
{2305843009247248383ULL,2,{16777216ULL,2305843009230471167ULL}},
{2305843009280802815ULL,2,{33554432ULL,2305843009247248383ULL}},
{2305843009347911679ULL,2,{67108864ULL,2305843009280802815ULL}},
{2305843009482129407ULL,2,{134217728ULL,2305843009347911679ULL}},
{2305843009750564863ULL,2,{268435456ULL,2305843009482129407ULL}},
{2305843010287435775ULL,2,{536870912ULL,2305843009750564863ULL}},
{2305843011361177599ULL,2,{1073741824ULL,2305843010287435775ULL}},
{2305843013508661247ULL,2,{2147483648ULL,2305843011361177599ULL}},
{2305843017803628543ULL,2,{4294967296ULL,2305843013508661247ULL}},
{2305843026393563135ULL,2,{8589934592ULL,2305843017803628543ULL}},
{2305843043573432319ULL,2,{17179869184ULL,2305843026393563135ULL}},
{2305843077933170687ULL,2,{34359738368ULL,2305843043573432319ULL}},
{2305843146652647423ULL,2,{68719476736ULL,2305843077933170687ULL}},
{2305843284091600895ULL,2,{137438953472ULL,2305843146652647423ULL}},
{2305843558969507839ULL,2,{274877906944ULL,2305843284091600895ULL}},
{2305844108725321727ULL,2,{549755813888ULL,2305843558969507839ULL}},
{2305845208236949503ULL,2,{1099511627776ULL,2305844108725321727ULL}},
{2305847407260205055ULL,2,{2199023255552ULL,2305845208236949503ULL}},
{2305851805306716159ULL,2,{4398046511104ULL,2305847407260205055ULL}},
{2305860601399738367ULL,2,{8796093022208ULL,2305851805306716159ULL}},
{2305878193585782783ULL,2,{17592186044416ULL,2305860601399738367ULL}},
{2305913377957871615ULL,2,{35184372088832ULL,2305878193585782783ULL}},
{2305983746702049279ULL,2,{70368744177664ULL,2305913377957871615ULL}},
{2306124484190404607ULL,2,{140737488355328ULL,2305983746702049279ULL}},
{2306405959167115263ULL,2,{281474976710656ULL,2306124484190404607ULL}},
{2306968909120536575ULL,2,{562949953421312ULL,2306405959167115263ULL}},
{2308094809027379199ULL,2,{1125899906842624ULL,2306968909120536575ULL}},
{2310346608841064447ULL,2,{2251799813685248ULL,2308094809027379199ULL}},
{2314850208468434943ULL,2,{4503599627370496ULL,2310346608841064447ULL}},
{2323857407723175935ULL,2,{9007199254740992ULL,2314850208468434943ULL}},
{2341871806232657919ULL,2,{18014398509481984ULL,2323857407723175935ULL}},
{2377900603251621887ULL,2,{36028797018963968ULL,2341871806232657919ULL}},
{2449958197289549823ULL,2,{72057594037927936ULL,2377900603251621887ULL}},
{2594073385365405695ULL,2,{144115188075855872ULL,2449958197289549823ULL}},
{2882303761517117439ULL,2,{288230376151711744ULL,2594073385365405695ULL}},
{3458764513820540927ULL,2,{576460752303423488ULL,2882303761517117439ULL}},
{4611686018427387902ULL,2,{0ULL,4611686018427387902ULL}},
{4611686018427387903ULL,2,{1152921504606846976ULL,3458764513820540927ULL}},
{4611686018427387906ULL,2,{2ULL,4611686018427387904ULL}},
{4611686018427387910ULL,2,{4ULL,4611686018427387906ULL}},
{4611686018427387918ULL,2,{8ULL,4611686018427387910ULL}},
{4611686018427387934ULL,2,{16ULL,4611686018427387918ULL}},
{4611686018427387966ULL,2,{32ULL,4611686018427387934ULL}},
{4611686018427388030ULL,2,{64ULL,4611686018427387966ULL}},
{4611686018427388158ULL,2,{128ULL,4611686018427388030ULL}},
{4611686018427388414ULL,2,{256ULL,4611686018427388158ULL}},
{4611686018427388926ULL,2,{512ULL,4611686018427388414ULL}},
{4611686018427389950ULL,2,{1024ULL,4611686018427388926ULL}},
{4611686018427391998ULL,2,{2048ULL,4611686018427389950ULL}},
{4611686018427396094ULL,2,{4096ULL,4611686018427391998ULL}},
{4611686018427404286ULL,2,{8192ULL,4611686018427396094ULL}},
{4611686018427420670ULL,2,{16384ULL,4611686018427404286ULL}},
{4611686018427453438ULL,2,{32768ULL,4611686018427420670ULL}},
{4611686018427518974ULL,2,{65536ULL,4611686018427453438ULL}},
{4611686018427650046ULL,2,{131072ULL,4611686018427518974ULL}},
{4611686018427912190ULL,2,{262144ULL,4611686018427650046ULL}},
{4611686018428436478ULL,2,{524288ULL,4611686018427912190ULL}},
{4611686018429485054ULL,2,{1048576ULL,4611686018428436478ULL}},
{4611686018431582206ULL,2,{2097152ULL,4611686018429485054ULL}},
{4611686018435776510ULL,2,{4194304ULL,4611686018431582206ULL}},
{4611686018444165118ULL,2,{8388608ULL,4611686018435776510ULL}},
{4611686018460942334ULL,2,{16777216ULL,4611686018444165118ULL}},
{4611686018494496766ULL,2,{33554432ULL,4611686018460942334ULL}},
{4611686018561605630ULL,2,{67108864ULL,4611686018494496766ULL}},
{4611686018695823358ULL,2,{134217728ULL,4611686018561605630ULL}},
{4611686018964258814ULL,2,{268435456ULL,4611686018695823358ULL}},
{4611686019501129726ULL,2,{536870912ULL,4611686018964258814ULL}},
{4611686020574871550ULL,2,{1073741824ULL,4611686019501129726ULL}},
{4611686022722355198ULL,2,{2147483648ULL,4611686020574871550ULL}},
{4611686027017322494ULL,2,{4294967296ULL,4611686022722355198ULL}},
{4611686035607257086ULL,2,{8589934592ULL,4611686027017322494ULL}},
{4611686052787126270ULL,2,{17179869184ULL,4611686035607257086ULL}},
{4611686087146864638ULL,2,{34359738368ULL,4611686052787126270ULL}},
{4611686155866341374ULL,2,{68719476736ULL,4611686087146864638ULL}},
{4611686293305294846ULL,2,{137438953472ULL,4611686155866341374ULL}},
{4611686568183201790ULL,2,{274877906944ULL,4611686293305294846ULL}},
{4611687117939015678ULL,2,{549755813888ULL,4611686568183201790ULL}},
{4611688217450643454ULL,2,{1099511627776ULL,4611687117939015678ULL}},
{4611690416473899006ULL,2,{2199023255552ULL,4611688217450643454ULL}},
{4611694814520410110ULL,2,{4398046511104ULL,4611690416473899006ULL}},
{4611703610613432318ULL,2,{8796093022208ULL,4611694814520410110ULL}},
{4611721202799476734ULL,2,{17592186044416ULL,4611703610613432318ULL}},
{4611756387171565566ULL,2,{35184372088832ULL,4611721202799476734ULL}},
{4611826755915743230ULL,2,{70368744177664ULL,4611756387171565566ULL}},
{4611967493404098558ULL,2,{140737488355328ULL,4611826755915743230ULL}},
{4612248968380809214ULL,2,{281474976710656ULL,4611967493404098558ULL}},
{4612811918334230526ULL,2,{562949953421312ULL,4612248968380809214ULL}},
{4613937818241073150ULL,2,{1125899906842624ULL,4612811918334230526ULL}},
{4616189618054758398ULL,2,{2251799813685248ULL,4613937818241073150ULL}},
{4620693217682128894ULL,2,{4503599627370496ULL,4616189618054758398ULL}},
{4629700416936869886ULL,2,{9007199254740992ULL,4620693217682128894ULL}},
{4647714815446351870ULL,2,{18014398509481984ULL,4629700416936869886ULL}},
{4683743612465315838ULL,2,{36028797018963968ULL,4647714815446351870ULL}},
{4755801206503243774ULL,2,{72057594037927936ULL,4683743612465315838ULL}},
{4899916394579099646ULL,2,{144115188075855872ULL,4755801206503243774ULL}},
{5188146770730811390ULL,2,{288230376151711744ULL,4899916394579099646ULL}},
{5764607523034234878ULL,2,{576460752303423488ULL,5188146770730811390ULL}},
{6917529027641081853ULL,2,{0ULL,6917529027641081853ULL}},
{6917529027641081854ULL,2,{1152921504606846976ULL,5764607523034234878ULL}},
{6917529027641081855ULL,2,{1ULL,6917529027641081854ULL}},
{6917529027641081857ULL,2,{2305843009213693953ULL,4611686018427387904ULL}},
{6917529027641081859ULL,4,{3ULL,2305843009213693954ULL,4611686018427387905ULL,6917529027641081856ULL}},
{6917529027641081861ULL,2,{4ULL,6917529027641081857ULL}},
{6917529027641081863ULL,4,{5ULL,2305843009213693956ULL,4611686018427387907ULL,6917529027641081858ULL}},
{6917529027641081869ULL,2,{8ULL,6917529027641081861ULL}},
{6917529027641081871ULL,4,{9ULL,2305843009213693960ULL,4611686018427387911ULL,6917529027641081862ULL}},
{6917529027641081885ULL,2,{16ULL,6917529027641081869ULL}},
{6917529027641081887ULL,4,{17ULL,2305843009213693968ULL,4611686018427387919ULL,6917529027641081870ULL}},
{6917529027641081917ULL,2,{32ULL,6917529027641081885ULL}},
{6917529027641081919ULL,4,{33ULL,2305843009213693984ULL,4611686018427387935ULL,6917529027641081886ULL}},
{6917529027641081981ULL,2,{64ULL,6917529027641081917ULL}},
{6917529027641081983ULL,4,{65ULL,2305843009213694016ULL,4611686018427387967ULL,6917529027641081918ULL}},
{6917529027641082109ULL,2,{128ULL,6917529027641081981ULL}},
{6917529027641082111ULL,4,{129ULL,2305843009213694080ULL,4611686018427388031ULL,6917529027641081982ULL}},
{6917529027641082365ULL,2,{256ULL,6917529027641082109ULL}},
{6917529027641082367ULL,4,{257ULL,2305843009213694208ULL,4611686018427388159ULL,6917529027641082110ULL}},
{6917529027641082877ULL,2,{512ULL,6917529027641082365ULL}},
{6917529027641082879ULL,4,{513ULL,2305843009213694464ULL,4611686018427388415ULL,6917529027641082366ULL}},
{6917529027641083901ULL,2,{1024ULL,6917529027641082877ULL}},
{6917529027641083903ULL,4,{1025ULL,2305843009213694976ULL,4611686018427388927ULL,6917529027641082878ULL}},
{6917529027641085949ULL,2,{2048ULL,6917529027641083901ULL}},
{6917529027641085951ULL,4,{2049ULL,2305843009213696000ULL,4611686018427389951ULL,6917529027641083902ULL}},
{6917529027641090045ULL,2,{4096ULL,6917529027641085949ULL}},
{6917529027641090047ULL,4,{4097ULL,2305843009213698048ULL,4611686018427391999ULL,6917529027641085950ULL}},
{6917529027641098237ULL,2,{8192ULL,6917529027641090045ULL}},
{6917529027641098239ULL,4,{8193ULL,2305843009213702144ULL,4611686018427396095ULL,6917529027641090046ULL}},
{6917529027641114621ULL,2,{16384ULL,6917529027641098237ULL}},
{6917529027641114623ULL,4,{16385ULL,2305843009213710336ULL,4611686018427404287ULL,6917529027641098238ULL}},
{6917529027641147389ULL,2,{32768ULL,6917529027641114621ULL}},
{6917529027641147391ULL,4,{32769ULL,2305843009213726720ULL,4611686018427420671ULL,6917529027641114622ULL}},
{6917529027641212925ULL,2,{65536ULL,6917529027641147389ULL}},
{6917529027641212927ULL,4,{65537ULL,2305843009213759488ULL,4611686018427453439ULL,6917529027641147390ULL}},
{6917529027641343997ULL,2,{131072ULL,6917529027641212925ULL}},
{6917529027641343999ULL,4,{131073ULL,2305843009213825024ULL,4611686018427518975ULL,6917529027641212926ULL}},
{6917529027641606141ULL,2,{262144ULL,6917529027641343997ULL}},
{6917529027641606143ULL,4,{262145ULL,2305843009213956096ULL,4611686018427650047ULL,6917529027641343998ULL}},
{6917529027642130429ULL,2,{524288ULL,6917529027641606141ULL}},
{6917529027642130431ULL,4,{524289ULL,2305843009214218240ULL,4611686018427912191ULL,6917529027641606142ULL}},
{6917529027643179005ULL,2,{1048576ULL,6917529027642130429ULL}},
{6917529027643179007ULL,4,{1048577ULL,2305843009214742528ULL,4611686018428436479ULL,6917529027642130430ULL}},
{6917529027645276157ULL,2,{2097152ULL,6917529027643179005ULL}},
{6917529027645276159ULL,4,{2097153ULL,2305843009215791104ULL,4611686018429485055ULL,6917529027643179006ULL}},
{6917529027649470461ULL,2,{4194304ULL,6917529027645276157ULL}},
{6917529027649470463ULL,4,{4194305ULL,2305843009217888256ULL,4611686018431582207ULL,6917529027645276158ULL}},
{6917529027657859069ULL,2,{8388608ULL,6917529027649470461ULL}},
{6917529027657859071ULL,4,{8388609ULL,2305843009222082560ULL,4611686018435776511ULL,6917529027649470462ULL}},
{6917529027674636285ULL,2,{16777216ULL,6917529027657859069ULL}},
{6917529027674636287ULL,4,{16777217ULL,2305843009230471168ULL,4611686018444165119ULL,6917529027657859070ULL}},
{6917529027708190717ULL,2,{33554432ULL,6917529027674636285ULL}},
{6917529027708190719ULL,4,{33554433ULL,2305843009247248384ULL,4611686018460942335ULL,6917529027674636286ULL}},
{6917529027775299581ULL,2,{67108864ULL,6917529027708190717ULL}},
{6917529027775299583ULL,4,{67108865ULL,2305843009280802816ULL,4611686018494496767ULL,6917529027708190718ULL}},
{6917529027909517309ULL,2,{134217728ULL,6917529027775299581ULL}},
{6917529027909517311ULL,4,{134217729ULL,2305843009347911680ULL,4611686018561605631ULL,6917529027775299582ULL}},
{6917529028177952765ULL,2,{268435456ULL,6917529027909517309ULL}},
{6917529028177952767ULL,4,{268435457ULL,2305843009482129408ULL,4611686018695823359ULL,6917529027909517310ULL}},
{6917529028714823677ULL,2,{536870912ULL,6917529028177952765ULL}},
{6917529028714823679ULL,4,{536870913ULL,2305843009750564864ULL,4611686018964258815ULL,6917529028177952766ULL}},
{6917529029788565501ULL,2,{1073741824ULL,6917529028714823677ULL}},
{6917529029788565503ULL,4,{1073741825ULL,2305843010287435776ULL,4611686019501129727ULL,6917529028714823678ULL}},
{6917529031936049149ULL,2,{2147483648ULL,6917529029788565501ULL}},
{6917529031936049151ULL,4,{2147483649ULL,2305843011361177600ULL,4611686020574871551ULL,6917529029788565502ULL}},
{6917529036231016445ULL,2,{4294967296ULL,6917529031936049149ULL}},
{6917529036231016447ULL,4,{4294967297ULL,2305843013508661248ULL,4611686022722355199ULL,6917529031936049150ULL}},
{6917529044820951037ULL,2,{8589934592ULL,6917529036231016445ULL}},
{6917529044820951039ULL,4,{8589934593ULL,2305843017803628544ULL,4611686027017322495ULL,6917529036231016446ULL}},
{6917529062000820221ULL,2,{17179869184ULL,6917529044820951037ULL}},
{6917529062000820223ULL,4,{17179869185ULL,2305843026393563136ULL,4611686035607257087ULL,6917529044820951038ULL}},
{6917529096360558589ULL,2,{34359738368ULL,6917529062000820221ULL}},
{6917529096360558591ULL,4,{34359738369ULL,2305843043573432320ULL,4611686052787126271ULL,6917529062000820222ULL}},
{6917529165080035325ULL,2,{68719476736ULL,6917529096360558589ULL}},
{6917529165080035327ULL,4,{68719476737ULL,2305843077933170688ULL,4611686087146864639ULL,6917529096360558590ULL}},
{6917529302518988797ULL,2,{137438953472ULL,6917529165080035325ULL}},
{6917529302518988799ULL,4,{137438953473ULL,2305843146652647424ULL,4611686155866341375ULL,6917529165080035326ULL}},
{6917529577396895741ULL,2,{274877906944ULL,6917529302518988797ULL}},
{6917529577396895743ULL,4,{274877906945ULL,2305843284091600896ULL,4611686293305294847ULL,6917529302518988798ULL}},
{6917530127152709629ULL,2,{549755813888ULL,6917529577396895741ULL}},
{6917530127152709631ULL,4,{549755813889ULL,2305843558969507840ULL,4611686568183201791ULL,6917529577396895742ULL}},
{6917531226664337405ULL,2,{1099511627776ULL,6917530127152709629ULL}},
{6917531226664337407ULL,4,{1099511627777ULL,2305844108725321728ULL,4611687117939015679ULL,6917530127152709630ULL}},
{6917533425687592957ULL,2,{2199023255552ULL,6917531226664337405ULL}},
{6917533425687592959ULL,4,{2199023255553ULL,2305845208236949504ULL,4611688217450643455ULL,6917531226664337406ULL}},
{6917537823734104061ULL,2,{4398046511104ULL,6917533425687592957ULL}},
{6917537823734104063ULL,4,{4398046511105ULL,2305847407260205056ULL,4611690416473899007ULL,6917533425687592958ULL}},
{6917546619827126269ULL,2,{8796093022208ULL,6917537823734104061ULL}},
{6917546619827126271ULL,4,{8796093022209ULL,2305851805306716160ULL,4611694814520410111ULL,6917537823734104062ULL}},
{6917564212013170685ULL,2,{17592186044416ULL,6917546619827126269ULL}},
{6917564212013170687ULL,4,{17592186044417ULL,2305860601399738368ULL,4611703610613432319ULL,6917546619827126270ULL}},
{6917599396385259517ULL,2,{35184372088832ULL,6917564212013170685ULL}},
{6917599396385259519ULL,4,{35184372088833ULL,2305878193585782784ULL,4611721202799476735ULL,6917564212013170686ULL}},
{6917669765129437181ULL,2,{70368744177664ULL,6917599396385259517ULL}},
{6917669765129437183ULL,4,{70368744177665ULL,2305913377957871616ULL,4611756387171565567ULL,6917599396385259518ULL}},
{6917810502617792509ULL,2,{140737488355328ULL,6917669765129437181ULL}},
{6917810502617792511ULL,4,{140737488355329ULL,2305983746702049280ULL,4611826755915743231ULL,6917669765129437182ULL}},
{6918091977594503165ULL,2,{281474976710656ULL,6917810502617792509ULL}},
{6918091977594503167ULL,4,{281474976710657ULL,2306124484190404608ULL,4611967493404098559ULL,6917810502617792510ULL}},
{6918654927547924477ULL,2,{562949953421312ULL,6918091977594503165ULL}},
{6918654927547924479ULL,4,{562949953421313ULL,2306405959167115264ULL,4612248968380809215ULL,6918091977594503166ULL}},
{6919780827454767101ULL,2,{1125899906842624ULL,6918654927547924477ULL}},
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